what expression is equivalent to -5(x)+(-4)(-3)

Answers

Answer 1

Answer:-25+-12

Step-by-step explanation:so I made x value as 5 so I multiplied -5x5 and it's -25 then I multiplied -4x-7 and that's -12 so the equivalent expression for my way is -25+-12


Related Questions

The m∠BOD = 46 and the m∠BOC = 26. What is the m∠COD?

Answers

The measure of the angle m∠COD is 20 degrees

How to determine the measure of the angle m∠COD?

From the question, we have the following parameters that can be used in our computation:

The measures of the angles:

m∠BOD = 46 and m∠BOC = 26.

The measure of the angle m∠COD is the difference between of the above angles

Using the above as a guide, we have the following:

Measure of the angle m∠COD = Difference of angles m∠BOD and m∠BOC

Mathematically, this is represented as

Measure of the angle m∠COD =  m∠BOD - m∠BOC

Substitute the known values in the above equation, so, we have the following representation

Measure of the angle m∠COD =  46 - 26

Evaluate the difference

Measure of the angle m∠COD =  20

Hence, the angle is 20 degrees

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Clark's rule is a formula used to determine pediatric doses of over the counter medicine.
The formula says
The weight of a child divided by 150 multiplied by the adult dose is the same as the child dose
if an adult dose of acetaminophen is 1,000 mg and a child weighs less than 90 pounds, what is
the recommended range of doses?
A. x≤ 600
B. x ≥ 600
C. 500 D. 500 ≤x≤ 600

Answers

500 ≤x≤ 600  is the recommended range of doses. Typically, a phase I or early phase II clinical trial involves dose range.

How to calculate doses ?

To solve this problem using Clark's rule, we need to determine the range of pediatric doses for a child who weighs less than 90 pounds and for whom the adult dose is 1,000 mg.

A mathematical formula known as Clark's rule is used in medicine to determine the right dosage of medication for patients aged 2 to 17 depending on their weight and the recommended adult dose.

First, we can use the formula provided to calculate the child dose:

Child dose = (Weight of child / 150) * Adult dose

Since the weight of the child is less than 90 pounds, we can set the weight of the child to the minimum value in the range, which is 50 pounds. This gives us:

Child dose = (50 / 150) * 1000 mg

= 333.33 mg

Next, we can set the weight of the child to the maximum value in the range, which is 89 pounds. This gives us:

Child dose = (89 / 150) * 1000 mg

= 593.33 mg

Therefore, the recommended range of doses for a child who weighs less than 90 pounds and for whom the adult dose is 1,000 mg is 500 mg ≤ x ≤ 600 mg.

So, the correct answer is D. 500 ≤x≤ 600.

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Question 4 (1 point)
What is the product? (6.28x10^3) x 10,000
62,800
6,280,000
6,280
62,800,000

Answers

62,800,000 is the product of (6.28 x 10^3) x 10,000.

What is the product?

It refers to the result of one or more multiplications.

Given number is (6.28 x 10^3) x 10,000.

6.28 x 10^3 =  6280

Therefore, 6280 x 10,000 = 628,000,00

Hence, the product of (6.28 x 10^3) x 10,000 is  628,000,00.

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Algebra II 5.02: Solve Radical Equations

Answers

Radical Equations

Step 1

To demonstrate how to solve a radical equation, let's use the following equation as an example:

What is the measurement of angle cbd

Answers

Given that:  

Angle CBD=6x-40

Angle BFH=4x

From the given diagram, angle CBD=angle BFH ("corresponding angles")

Therefore 6x-40=4x,

                  6x-4x=40,

                   2x=40,

                    x=20

now Angle CBD= 6(20)-40

                          = 80

How do you prove two triangles are congruent to each other?

Answers

All three pairs of corresponding sides are equal. : Two pairs of corresponding sides and the corresponding angles between them are equal. : Two pairs of corresponding angles and the corresponding sides between them are equal.

Congruent Figures :

Those figures which covers each other/one another exactly then they are congruent Figures.

There are 4 ways by which we can prove any 2 triangles as congruent :

If they are having -

SSS : Side Side Side

Three pairs of side are equal then the triangles are congruent.

ASA : Angle Side Angle / AAS : Angle Angle Side

If any 2 pairs of angles and 1 side are equal then the triangles are congruent.

SAS : Side Angle Side

If any two pairs of sides and the included angle are equal then the triangles are congruent.

RHS : Right Hypotenuse Side

If any right angle triangles are having their hypotenuse and a pair of sides equal then they are congruent.

So, all three pairs of corresponding sides are equal then are congruent to each other.

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Bethany collected 200 survey responses regarding recycling behaviors in her city. of those responses, 174 people responded that they participate in the city’s recycling program. use this information to complete the statement. round all answers to the nearest hundredth. the approximate sample proportion is____, which means that %___of the people surveyed do not participate in the city’s recycling program.

Answers

Answer:

the approximate sample proportion is 87%, which means that 13% of the people surveyed do not participate in the city’s recycling program.

What is domain simple answer?

Answers

A domain is a component of the nomenclature used in web addresses to identify your website or a particular page of your website online.

What is domain ?

A function's authorized range of values is known as its domain. For a function like f, this set contains of the x values (x). The set of those values represents the possible range of values that a function can take as input. The function's response to our x value entry is this group of values.

here ,

A domain is typically a sphere of knowledge or an area under one's control.

Users find it much easier to recall and search for online because it is a string of text linked to a website's numerical IP address.

Both the internet's architecture and the way a company's network resources are set up fall under the umbrella term "domain."

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What is Z set in math?

Answers

Therefore, the Z set represents the all integers numbers .

Describe integer.

An integer is a whole number, not a fraction, that can be negative, positive, or zero. The numerals  set of 5, 1, 5, 8, 97, and 3, 043 are a few examples. Non-integer numbers include 1.43, 1 3/4, 3.14, and other numbers.

According to the given question:

The set of integers represented here by Z is..., 2,..., 1, 0, 1, 2,... Q stands for the collection of rational numbers (the set of all possible fractions, including the integers).

The set of real numbers is designated as R. The group of complex numbers is designated as C.

Therefore, the Z set represents the all integers numbers .

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Determine which ratio forms a proportion with 14/35 by writing the ratio in simplist form.
A) 2/7
B) 4/5
C) 3/8
D) 2/5

Answers

Divide by 7 and you will get 2/5
I believe the answer is D

What is the formula of commutative property?

Answers

The formula of commutative property of addition is a + b = b + a and the formula of commutative property of multiplication is a × b = b ×  a.

The Commutative Property is derived from the word commute, which means to move. It states that the product or sum of two numbers do not change even if the places of numbers are changed or if the numbers move from one place to another.

The commutative property of addition states that a + b = b + a

The commutative property of multiplication states that a × b = b ×  a.

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Determine the domain of the following graph:

Answers

Answer: see below

Step-by-step explanation:

The domain of a graph consists of all the input values shown on the x-axis

We want to find the left-most x value and the right-most x value.

-8, 3

since there is a hole at the point where x=3 we will use a paratensesis

D:xE[-8,3)

12 pencils cost 1.80 pounds. How many pencils can be bought for 6 pounds?

Answers

Answer:

Step-by-step explanation:i think to answer is either 90p or 9p

Answer:

90p or 9p

Step-by-step explanation:

What is the variance of 2 4 6 8 10?

Answers

The variance of 2, 4, 6, 8, 10 is 8.

To calculate the variance of a set of numbers, you first need to calculate the mean of the set. The mean of 2, 4, 6, 8, 10 is 6. Then, for each number in the set, you need to calculate the difference between that number and the mean, and square the result. Finally, you need to sum those squared differences and divide by the number of items in the set.

Here's the calculation:

(2 - 6)^2 + (4 - 6)^2 + (6 - 6)^2 + (8 - 6)^2 + (10 - 6)^2 = (-4)^2 + (-2)^2 + 0^2 + (2)^2 + (4)^2 = 16 + 4 + 0 + 4 + 16 = 40

40 / 5 = 8

So, the variance of 2, 4, 6, 8, 10 is 8.

How does variance work?

Variance is a statistical measurement of the variation in numbers within a data set. Variance, in more precise terms, indicates how far apart any number in the set is from both the mean (average) and, consequently, from every other number in the set.

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Determine the domain and range for the function below.

Answers

Answer:

Domain: (-∞, ∞); Range: [1, ∞)

Step-by-step explanation:

Domain is the set/interval of x-values that the function spans while the range is the set or interval of y-values that the function spans.

Domain

We can see that the arrows point towards negative and positive infinity for x and also see there are no holes or asymptotes for this graph. Therefore, the domain is (-∞, ∞) or {x | x is any real number}

Range

We can see that the arrows both point towards infinity for y-values and that the lowest y-value this graph touches is y = 1 (inclusive, meaning this y-value is included in the range). Thus, the range is [1, ∞) or {y | y ≥ 1}

1. Find the length of arc PRQ: Show your work.

Answers

Answer:

The length of arc PRQ is 16.7 in.

Step-by-step explanation:

Given;r = 8 inθ = 120°

So,

arc length = 2πr × (θ/360)

arc length = 2(3.14)(8) × (120/360)

arc length = 2(3.14)(8) × (120/360)

arc length = 50.24 × (1/3)

arc length = 16.7 inches

Thus, The length of arc PRQ is 16.7 in.

What is equal to 3 minus square root of eight divided by square root of 3

Answers

Answer:

approximately 1.732

Step-by-step explanation:

To solve this expression, we need to start by performing the operations inside the parentheses first. The square root of 8 is equal to 2, so 3 minus 2 is equal to 1. Then, we can divide 1 by the square root of 3, which is equal to approximately 1.732. Therefore, the expression 3 minus square root of eight divided by square root of 3 is equal to approximately 1.732.

I need to know the unit price for both a and b and what’s the better buy

Answers

Answer:

Brand A Forks $0.08, Brand B Forks $0.06, Better Buy is Brand B

Step-by-step explanation:

Unit price is price per unit (in this case, forks)

You need to find the $ for 1 fork for Brand A and B, since they have different unit prices.

total price/units = price/unit

Brand A: $1.97/25 forks = $0.0788 (rounded up is $0.08)

Brand B: $2.98/48 forks = $0.06208 (rounded up is $0.06)

Better brand is Brand B because it is cheaper.

What is the first step to graph an inequality?

Answers

Always begin by separating the variable y from the inequality's left side is the first step to graph an inequality.

What are the steps to graphing an inequality?

The graph of a two-variable inequality is the set of points that describe all solutions to the inequality. The coordinate plane is split in half by a boundary line created by a linear inequality, with one-half representing the solutions to the inequality.

Step 1: Always begin by separating the variable y from the inequality's left side.

Step 2: Replace the symbol for inequality with that for equality.

Step 3: In the xy plane, graph the boundary line from step 2. You are creating the boundary line that would divide or cut the xy-plane into two sections in this stage.

Step 4: Shading one side or area of the boundary line is the final step.

Step 5: Use this optional step to check or confirm that you have shaded the boundary line's side appropriately.

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Misha surveyed students in her school about what writing tool they use. She found that 75 use pens; 30 of the pen users are boys. She also found that 28 boys and 32 girls use pencils. A 4-column table with 3 rows. Column 1 has entries boys, girls, total. Column 2 is labeled pens with entries 30, a, 75. Column 3 is labeled pencils with entries 28, 32, b. Column 4 is labeled total with entries c, d, e. Determine what each letter should be to complete this two-way table. A = b = c = d = e =.

Answers

The value of a,b,c,d, and e is 45, 60, 58, 77, and 135 respectively, required to complete the two-way table.

A two-way table shows the connections between two sets of category data visually. Labels are positioned at the top and left sides of the table, which has rows and columns.

The sums for each row are displayed to the right, while the sums for each column are displayed at the bottom. 

We must create a two-way table based on the issue to ascertain the worth of each letter.

| Pens | Pencils | Total |

| Boys | 30 | 28 | c |

| Girls | a | 32 | d |

| Total | 75 | b | e |

This shows the entries in the body of the table. To find the value of each letter, we need to add and subtract.

Add the entries in the table to get the total and subtract if the total is given and one value is missing.

a= 75-30 = 45

b = 28+32= 60

c= 30+28 = 58

d= 45+32= 77

e= 75+60 = 135

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| Pens | Pencils | Total |

| Boys | 30 | 28 | c |

| Girls | a | 32 | d |

| Total | 75 | b | e |

This shows the entries in the body of the table. To find the value of each letter, we need to add and subtract.

Add the entries in the table to get the total and subtract if the total is given and one value is missing.

a= 75-30 = 45

b = 28+32= 60

c= 30+28 = 58

d= 45+32= 77

e= 75+60 = 135

Is 3x² 4x 15 a polynomial in one variable?

Answers

The  equation is 3x² - 4x + 15 is polynomial in one variable.

What are polynomial in one variable?

An algebraic expression with one or more terms and a non-zero coefficient is called a polynomial. A polynomial is an expression composed of variables, coefficients, and constants connected by a mathematical operator. A polynomial is an expression connected by mathematical operations like addition, subtraction, multiplication, and division. An algebraic expression with only one variable is called a polynomial in one variable.

Given equation 3x² - 4x + 15

An algebraic expression with only one variable is a polynomial in one variable.

some examples of one variable polynomial

x + 2

y+ 5

x² + ax + b

ax³ + bx + c

all the equations that contain only 1 variables are  polynomial in one variable.

Hence the expression is polynomial in one variable.

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g what word is used to say the probability of an adverse outcome? question 12 options: risk variance random statistics none of the above

Answers

Risk is used to say the probability of an adverse outcome.

Option (a) (Risk) is the correct choice.

Through risk assessment, businesses, governments, projects, and investors may determine the likelihood that a bad occurrence will have a detrimental effect on their operations.

Risk assessment is crucial for figuring out the value of a particular project or investment and the appropriate process(es) to manage such risks.

Different methods may be used to evaluate the risk and reward tradeoff of a possible investment opportunity using the information provided by risk analysis.

A risk analyst begins by determining what may go wrong.

These drawbacks must be compared to a probability meter that assesses the chance that the event will occur.

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The correct question may be:

What word is used to say the probability of an adverse outcome?

(a) risk

(b) variance

(c) random statistics

(d) None of the above

What expression is equal to x squared minus 6x

Answers

Answer:

Step-by-step explanation:

[tex]x^{2} -6x[/tex]

How do you determine the relationship between the volume of a rectangular prism and pyramid?

Answers

The relationship between the volume of a rectangular prism and pyramid is defined as that the pyramid takes up 1/3 of the volume of a prism.

Here we need to identify  the relationship between the volume of a rectangular prism and pyramid.

As we all know that the volume of rectangle prism is written as,

=> Volume of a prism = (area of base) * height

Now, let us consider the volume of a pyramid that the pyramid takes up 1/3 of the volume of a prism when their bases and height are equal.

So, here the volume of a pyramid is 1/3 multiplied by the volume of a prism.

Then we get the volume of pyramid is written as,

Volume of a pyramid = 1/3 (area of the base) * height

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2. Determine the number of real solutions of the system
You HAVE to show your work to get full credit.
(y=x²-3
y = -2x +4

Answers

The number of real solutions of the system are 2 if y=x²-3, y = -2x +4

What is meant by system of solutions?

An equation system's solution is a collection of values for the variable that concurrently fulfill each equation. Finding all of the possible sets of variable values that make up the system's solutions is necessary to solve an equation system. However, the second equation does not have a solution at (5, 4). There is often only one solution to a system of linear equations, however it is possible for there to be infinite or no solutions (parallel lines) on occasion (same line).

Given,

y=x²-3 -----(1)

y=-2x +4 -----(2)

Solving equations 1 and 2, we get

x²-3=-2x +4

x²+2x-3-4=0

x²+2x-7=0

We have to solve by using quadratic formula,

x= (-b±√b²-4ac)/2a

x= (-2±√2²-4(1)(-7))/2(1)

x= (-2±√4+28)/2

x= (-2±√32)/2

x= (-2±4√2)/2

x= -1±2√2

x= -1-2√2, -1+2√2

Thus, the system has two solutions.

Therefore, the number of real solutions of the system are 2.

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Where are the asymptotes for the following function located?
f (x) = startfraction 7 over x squared minus 2 x minus 24 endfraction

Answers

The asymptotes for the given function f(x) = 7/(x^2-2x-24) are located at

x = -3 and x = 8.

The asymptotes of a function are the lines that the graph approaches, but never touches as it continues to infinity. In the given function, f(x) = 7/(x^2-2x-24), the asymptotes are located at x = -3 and x = 8.

To find the asymptotes of a function, you first need to factor the denominator of the function. In this case, the denominator is[tex]x^2-2x-24,[/tex]which can be factored into (x+3)(x-8). This means that there are two potential zeroes in the denominator, x=-3 and x=8. These two points are the two asymptotes of the graph of the given function.

To explain further, the two asymptotes divide the x-axis into three intervals. On the interval (-infinity, -3), the graph of the function will approach negative infinity as x approaches -3 from the left. On the interval (-3, 8), the graph of the function will approach positive infinity as x approaches 8 from the right. On the interval (8, infinity), the graph of the function will approach negative infinity as x approaches 8 from the right.

In summary, the asymptotes for the given function f(x) = 7/(x^2-2x-24) are located at x = -3 and x = 8.

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Answer two questions about Equations AAA and BBB: \begin{aligned} A.&&5x-2+x&=x-4 \\\\ B.&&5x+x&=x-4 \end{aligned} A. B. ​ ​ 5x−2+x 5x+x ​ =x−4 =x−4 ​ 1) How can we get Equation BBB from Equation AAA
(Choice A) A Add/subtract a quantity to/from only one side
(Choice B) B Add/subtract the same quantity to/from both sides
(Choice C) C Rewrite one side (or both) using the distributive property (Choice D) D Rewrite one side (or both) by combining like terms
2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
(Choice A) A Yes
(Choice B) B No

Answers

The given equation A) 5x -2 + x = x - 4 and B) 5x + x = x - 4 are not equivalent.

The term equation in math refers the mathematical statement that is made up of two expressions connected by an equal sign.

Here we have given that the tow equations are

A) 5x -2 + x = x - 4

B) 5x + x = x - 4

And we need to find if they are equivalent or not.

While we looking into the given question, we have given the following equations,

A) 5x -2 + x = x - 4

B) 5x + x = x - 4

In order to find if they are equivalent or not, we have to simplify each of then then we get,

=> A) 6x - 2 = x - 4

=> A) 6x - 2 - x + 4

=> A = 5x + 2

Now, we have to do the same to simplify the equation (B), then we get

=> B) 6x = x - 4

=>  B = 6x - x + 4

=> B = 5x + 4

Now, we compare the two solved equation,

=> A = B

=> 5x + 2 = 5x + 4

Here the variable part is equal but the constant value is not same.

Therefore, we have identified the the two equation are not equivalent.

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In circle H with m/GHJ = 54°, find the m/GKJ.
Answer:
H
G
K
Submit Answer
DEVEL
attempt 1 out of 2

Answers

The measure of the angle ∠GKJ, m∠GKJ, at the circumference of the circle H, which is subtends the same arc GJ as the angle ∠GHJ at the center of the circle is 27°

What is an arc of a circle?

An arc of a circle is a part of the circle's circumference.

The measure of angle ∠GHJ, m∠GHJ = 54°

The measure of angle ∠GKJ, m∠GKJ = Required

Please find attached a possible drawing of the circle H created with MS Word and based on a similar question posted online

The circle, Angle at the Center Theorem states that the angle subtended at the center by arc is twice the angle subtended by the arc at the circumference of the circle.

The question indicates that the angle subtended by the arc GJ at the center of the circle, ∠GHJ = 2 × The angle subtended by the arc GJ at the circumference, ∠GJK

Therefore;

m∠GHJ = 2 × m∠GKJ

54° = 2 × m∠GKJ

m∠GKJ = 54° ÷ 2 = 27°

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What is the median of the following data sample 2 7 4 8 9 10 6 12 13?

Answers

There are 9 values in the sample: 2, 4, 6, 7, 8, 9, 10, 12, and 13. Since there are an odd number of values, the median is the middle value. In this case, the median is the 5th value, which is 8.

The median is a measure of central tendency, which means it is used to describe the "typical" or "average" value in a sample of data. To find the median, we first need to arrange the data in numerical order. In this case, the data is already in numerical order, so we can proceed directly to finding the median.

There are 9 values in the sample: 2, 4, 6, 7, 8, 9, 10, 12, 13. Since there are an odd number of values, the median is the middle value. In this case, the median is the 5th value, which is 8. This means that 8 is the middle value, with 4 values smaller than it and 4 values larger than it.

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What is the standard deviation for the set of numbers 2 4 6 8 10 12 14?

Answers

We calculated standard deviation 4 for the given set of numbers.

What means standard deviation?

In the statistics, standard deviation is an estimation that implies how far each data value apart from the mean value. A high standard deviation indicates that all data are dispersed around the mean. And a low score of standard deviation implies data values are close enough in relation to the mean.

How to calculate standard deviation for the given data?

Let, X be the list of data value, X² be the square of the data value.

    X          X²

   2           4

   4           16

  6            36

  8            64

  10         100

  12         144

  14        196

we add all the data value and get ∑X = 56

We add all the squared value and get ∑X² = 560

Standard deviation is calculated by using the formula

SD =

√ [∑X²/N - (∑X/N) ²]

where N is the number of data present N= 7

SD = √[560/7 - (56/7)²]

     = 4

Hence, calculated standard deviation is 4

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Other Questions
EASY MATH QUESTION the original price of a soccer ball is $25.00. if the soccer ball is discounted 25%, what is the new price? The Title of Betty Friedan's book suggests that______.A. women like to be seen as sex goddessesB. what women experience is a mystery that baffles the rest of societyC. women have an air of mystery that attracts menD. she knows what feminine really means Which of the following is a belief held by the theory of natural law? The trip to France, Spain, and Italy (was/were) canceled when the coronavirus spread to Europe. PLZZ HELPP ILL GIBE BRAINLIST The king or queen serves a ceremonial role and the people elect aParliament to make lawsA)Autocracy B) representative democracy C)constitutional mirarchy D) absolute monarchy 14kmFind the area of the triangle.A)52 km2B)84 km2C)168 km2D)336 km2 Romeo and Juliet: List at least THREE key events that happen in Act II of the film QUADRATIC EQUATIONS HELP 1) When Samuel goes to school, he has to walk 480 yards east of his house and then 360 yards south to arrive to his school. How far does he have to walk to get to school from his house? If he decides that he will cut his distance by going across a park directly from his house to school how far will he have to walk? By how much is it shorter to go across the park then going around the park?In your picture, you should have the house, the school, the path from the house to school around the park and path from the house to school across the park. Label the path around the park with their values. Label the path across the park with a variable. The path across the park and the path around the park form a right triangle with the right angle between the two parts of the path around the park. Label the right angle. Since the paths form a right triangle, you can use Pythagorean theorem to find the distance from the house to school across the park. The general Pythagorean formula is a2 + b2 = c2 where a and b represent the legs and c represents the hypotenuse.Once you find the distance, find out the total distance Samuel has to travel around the park. Then you will be able to find out by how much farther it to go around the park.2) A 100 feet tower needs an anchor line. For the tower to be stable, the anchor line has to be attached to the top of the tower with its other end on the ground 32 feet from the tower. How long has to be the anchor line for the tower to be stable? Sketch the picture of the tower, the anchor line and the distance from the tower. You will form a right triangle with the right angle between the tower and the ground. Label the height of the tower and the distance from the tower. Label the length of the anchor line with a variable. Label the right angle. Again, you will use the Pythagorean formula. Follow the same procedures related to working with Pythagorean formula as you did in question 1.3) You want to buy a new tv. In a store, you see a tv that you like with a diagonal of 20 inches and length of 16 inches. Will this tv fit on a shelf that is 13 inches high? Sketch the picture of the frame of the tv. Draw the diagonal of the tv. Label the diagonal and the length of the tv. To find out if the tv fits on the shelf, you will have to find the height of the tv. The diagonal of the tv and its length and height form a right triangle with the right angle between the length and the height of the tv. Label the right angle. Again, you will use the Pythagorean formula. Follow the same procedures related to working with Pythagorean formula as you did in question 1. Once you find the height of the tv, explain whether it will fit on the shelf or not and why. PLEASE PLEASE HELP! No websites please! What Is the difference between the number of students who earned a score 90 or greater In class 2 and the number of students who earned a 90 or greater in class 1 What is the length of FG?(Picture of Question Below!)A. 1.2B. 3C. 3.6D. 4 ( IT IS NOT D!)E. 6 Question 1 of 5Which present-day state did the United States gain as part of the Treaty ofGuadalupe Hidalgo?A. CaliforniaB. LouisianaC. OklahomaD. OregonSUBMIT A 3kg horizontal disk of radius 0.2m rotates about its center with an angular velocity of 50rad/s. The edge of the horizontal disk is placed in contact with a wall, and the disk comes to rest after 10s. Which of the following situations associated with linear impulse is analogous to the angular impulse that is described?a. A 3kg block is initially at rest. An applied force of 3N is applied to the block, but the block does not move.b. A 3kg block is initially at rest. A net force of 3N is applied to the block until it has a speed of 10m/s.c. A 3kg block is initially traveling at 10m/s. An applied force of 3N is applied to the block in the direction of its velocity vector for 10s.d. A 3kg block is initially traveling at 10m/s. The block encounters a 3N frictional force until the block eventually stops. HELP WITH THIS PLEASE!!! What is the function of the digestive system?A. Removal of liquid wasteB. Maintain body temperature and hormone levelsC. Delivers food to your brainD. Changes food into minerals and nutrients that are absorbed intobloodstream A substantiated opinion is best supported bypersonal opinions.individual thoughts.expert opinions.common beliefs. The diagram on the left shows the layers of Earth's atmosphere and how temperature changes with altitude. The diagram on the right shows the layers of Venus' atmosphere and how temperature changes with altitude. Both diagrams indicate the altitude below which 90% of each atmosphere's mass is located.According to the diagrams, which of the following statements is true? A. 90% of the mass of Venus' atmosphere is within 10 km of the surface. B. The upper part of Venus' troposphere is about 200C colder than the upper part of Earth's. C. Venus' troposphere is several times thicker than Earth's troposphere. 6. What aspect of the Compromise of 1850 was attractive to the South? Marcelino Co.'s March 31 inventory of raw materials is $84,000. Raw materials purchases in April are $580,000, and factory payroll cost in April is $387,000. Overhead costs incurred in April are: indirect materials, $59,000; indirect labor, $28,000; factory rent, $32,000; factory utilities, $20,000; and factory equipment depreciation, $52,000. The predetermined overhead rate is 50% of direct labor cost. Job 306 is sold for $680,000 cash in April. Costs of the three jobs worked on in April follow: Job 306 Job 307 Job 308 Balances on March 31 Direct materials $30,000 $41,000 Direct labor 23,000 16,000 Applied overhead 11,500 8,000 Costs during April Direct materials 139,000 200,000 $115,000 Direct labor 103,000 150,000 104,000 Applied overhead ? ? ? Status on April 30 Finished (sold) Finished (unsold) In process Required:a. Determine the total of each production cost incurred for April (direct labor, direct materials, and applied overhead), and the total cost assigned to each job (including the balances from March 31).b. Prepare journal entries for the month of April to record the above transactions.c. Prepare a schedule of cost of goods manufactured.d. Compute gross profit for April