All tick marks are equally spaced on each number line below. Find the unknown value (x) for
each. Be prepared to explain your reasoning.
Answers
By finding the value between consecutive tick marks, we will see that:
1) x = 20
2) x = 48
3) x = 9.5
How to find the values of X?
We know that each tick mark are equally spaced in the number lines below.
If you look at the first one (the already solved one). You can see that between the 4 and the 12 there are 4 ticks. If each tick has a value of T, we must have:
4 + 4*T = 12
4*T = 12 - 4 = 8
T = 8/4 = 2
Each tick values 2 units.
Between the 12 and the x there are 4 ticks, then:
x = 12 + 4*2 = 20
Now let's look at the second number line. There are 10 ticks between 25 and 140, then:
25 + 10*T = 140
10*T = 140 - 25 = 115
T = 115/10 = 11.5
And there are 2 ticks between 25 and the x, so:
x = 25 + 2*T = 25 + 2*11.5 = 48
x = 48.
Now the final number line. There are 8 ticks between 10 and 12, then:
10 + 8*T = 12
8*T = 12 - 10 = 2
T = 2/8 = 1/4 = 0.25
Now, the x is 2 ticks before the 10, then we have:
x = 10 - 2*T = 10 - 2*0.25 = 9.5
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Related Questions
The monthly rents for five apartments advertised in a newspaper were $650, $650, $800, $1900, and $820. Use the mean, median, and mode of the rents to answer the question. Which value best describes the monthly rents?
Answers
Answer:
The Median Best Describes The Monthly Rents
the mean is add up all the numbers and then divide by the amount of numbers so it is 4820 then divide by 5 = 964 so the mean of all of then is 964
the median you have to put it in slamets to biggest so 650 650 800 820 1900 and then you have to put the one(s) in the middle witch is 800 so the median is 800
the mode is the most common numbers that show up and there is 2 650 and one of everything else so the mode is 650
Hope This Helped
Please help with these 2 questions and explain why it's the answer
Answers
First, let's edit the given equations.
In 9:[tex]2(32-x^2)=4x4-2\\\\64-2x^2=14[/tex]
Then, to check if [tex]x=5[/tex] is a solution to this equation, let's put the [tex]5[/tex].
[tex]64-2(5)^2=14\\\\64-50=14[/tex]
That's correct!
In 10:[tex]4^2-x\leq x(6-5)\\\\16-x\leq 6x-5x\\\\16-x\leq x\\\\16\leq 2x\\\\x\geq 8[/tex]
Then, we must put [tex]15[/tex].
[tex]15\geq 8[/tex]
That's correct!
Good luck! If you have any question(s), then feel free to ask in comments!
Hi Student!
Let us first look at what the first question is asking for us to do and what is provided to do that. Looking at the first question we see that they are asking if x = 5 is a solution to the expression that they provided. This type of problem is fairly simple and what we basically do is just plug in the value 5 for the variable x in the expression and the simplify both sides to see if they are the same.
Plug in the values
[tex]2(32 - x^2) = 4 * 4 - 2[/tex][tex]2(32 - (5)^2) = 4 * 4 - 2[/tex]Simplify the square and subtract inside of the parenthesis
[tex]2(32 - 25) = 4 * 4 - 2[/tex][tex]2(7) = 4 * 4 - 2[/tex]Simplify both sides
[tex]2 * 7 = (4 * 4) - 2[/tex][tex]14 = (16) - 2[/tex][tex]14 = 14[/tex]Looking at the final expression that we have, we can see that we have 14 is equal to 14 which is true and therefore x = 5 is a solution of the expression provided.
Moving onto the next question, we can see that it asks for us to do something really similar to the previous question but this time to check if x = 15 is a solution of a different expression. Let's follow the same steps that we did last time.
Plug in the values
[tex]4^2 - x \le x(6 - 5)[/tex][tex]4^2 - (15) \le 15(6 - 5)[/tex]Distribute the x
[tex]4^2 - (15) \le (15 * 6) + (15 * -5)[/tex][tex]4^2 - (15) \le 90 - 75[/tex]Simplify both sides
[tex]16 - 15 \le 90 - 75[/tex][tex]1 \le 15[/tex]Looking at the final expression that we have, we can see that it states that 1 is less than or equal to 15 and that is true. Therefore, x = 15 is a solution of the expression that was provided.
George and Maria decided to create a garden in their backyard. George works on the garden every third day and Maria works on the garden every fourth day.
If they worked on the garden today, the number of days until they work on the same day again would be.
Answers
Help please asap aaaaaaaaaaaaaaaaaa
Answers
Answer:
Step-by-step explanation:
Your exponential formula is in the form y = ab^x. In this form, the coefficient 'a' is the initial value, the y-intercept, the value when x=0. The value 'b' is the growth factor, which is 1 more than the growth rate per increment of x. This problem is asking for the growth rate to be expressed as a percentage.
__
Given p(x) = 78500(1.02^x), we can compare to the exponential function form to see that ...
a = 78,500b = 1.02 = 1 +0.02 = 1 +2%The value of x is zero in the year 2000, so the population that year is ...
p(0) = a = 78,500
The increase per year is the value of 'b' with 1 subtracted:
growth rate = 2% per year
An icicle drips at a rate that can be represented by the function f(x) = −x2 + 8x − 7, where 0 ≤ x ≤ 10 and x is the number of hours after the sun has risen. When f(x) is a negative number, the icicle is not dripping. Determine the values when the icicle starts and stops dripping.
Answers
Find when f(x) = 0. By factorizing, we have
-x² + 8x - 7 = - (x - 7) (x - 1) = 0
so either x - 7 = 0 or x - 1 = 0, or simply x = 1 or x = 7.
Split the domain into three intervals, and check the sign of f(x) over each interval at some test point in the interval. The sign will tell you when the icicle is dripping (positive) or not (negative).
• [0, 1) : at x = 0, we have f(0) = -7 < 0
• (1, 7) : at x = 2, we have f(2) = 5 > 0
• (7, 10] : at x = 8, we have f(8) = -7 < 0
This tells us that the icicle is not dripping when 0 ≤ x < 1, begins to drip when x = 1, drips for the duration of 1 < x < 7, stops dripping when x = 7, and keeps on not dripping when 7 < x ≤ 10.
Q.3 If a multiple-choice test consists of 5 questions, each with 4 possible answers of which only 1 is correct, (a) in how many different ways can a student check off one answer to each question? (b) in how many ways can a student check off one answer to each question and get all the answers wrong?
Answers
The number of ways to check off one answer to each question is; 20ways.
The number of ways to check off one answer to each question and get it wrong is; 15ways.
In how many number of ways can a student check off one answer to each question?a) Since each question has four possible answers, it therefore follows that the student can choose any of 4 options in each question and consequently, the number of different ways is; 4 × 5 = 20.
b) Since only one option is correct, it follows that there are 3 wrong choices in each question case and hence, the number of ways to pick one wrong answer is; 3 × 5 = 15.
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I need help please ?!!!!
Answers
Answer:
6,010 mg
Step-by-step explanation:
1 gram = 1,000 milligrams that means
(6+.01)*1000=6,010mg
What is the Reciprocal of 5 1/2
Answers
Answer:
2/11
Step-by-step explanation:
A reciprocal is a number or fraction flipped. So, 5 1/2=11/2. 11/2 flipped is 2/11.
19% of what number is $6.46?
Answers
Answer:
here's the answer
Step-by-step explanation:
19/100*x=6.46
x=$34
If Rita receives $63.90 Interest for a deposit earning 6% simple interest for 150 days, what is the amountof her deposit to the
nearest dollar (zero decimal place). Use a 360-day year
Answers
The amount of Rita deposit is $2556.
What is Simple Interest ?The interest calculated on the principal amount or the initial investment.
It is given in the question
If Rita receives $63.90 Interest for a deposit earning 6% simple interest for 150 days.
P = ?
S.I. = $63.90
Interest = 6%
T = 150days
S.I. = (P *R*T)/100
63.90 = P * 6 * 150*100 /360
63.90 * 360*100 /( 150 *6) = P
P = $2556
Therefore the amount of Rita deposit is $2556.
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the diagram below shows the use of diverging lens for correction of
Answers
Answer:
E
Step-by-step explanation:
The diagram below shows the correct use of diverging lens for correction of myopia.
Type the correct answer in the box. Rewrite the quadratic function in the form that best reveals the zeros of the function. f(x)=2(2x2+4x)+3
Answers
Try this suggested option:
Step-by-step explanation:
f(x)=2(2x²+4x)+3; ⇔
f(x)=4(x²+2x)+3; ⇔
f(x)=4(x²+2x+1)+3-4; ⇔
f(x)=4(x+1)²-1; ⇔
f(x)=(2x+1)(2x+3).
Then the roots are:
[tex]\left[\begin{array}{ccc}x=-1.5\\x=-0.5\end{array}.[/tex]
Find the remainder when x4 - 5x3 + x2 - 10x - 5 is divided by x + 3.
Answers
Use the remainder theorem: we can decompose the given polynomial in terms of quotient and remainder polynomials [tex]q(x)[/tex] and [tex]r(x)[/tex], respectively, such that
[tex]x^4 - 5x^3 + x^2 - 10x - 5 = (x + 3) q(x) + r(x)[/tex]
Then letting x = -3 makes the quotient term vanish, and we're left with a remainder of
[tex]r(-3) = (-3)^4 - 5\times(-3)^4 + (-3)^2 - 10\times(-3) - 5 = \boxed{250}[/tex]
A semi-circle sits on top of a rectangle to form the figure below. Find its area and perimeter. Use 3.14 for pi , and round your answer to the nearest tenth.
Answers
The area and the perimeter of the figure will be 38.13 in² and 23.42 inches respectively.
How to calculate the area?The area will be:
= Area of semi circle + Area of rectangle
= (1/2 × 3.14 × 3²) + (6 × 4)
= 14.13 + 24
= 38.13 inches²
The perimeter will be:
= (3.14 × 3) + (4 + 6 + 4 + 9.42)
= 23.42 inches
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y is directly proportional to x 2 . If y = 12 when x = 2 find x when y = 300
Answers
12 —-> 2 power 2
300 —-> ?
300 x 4 over 12 = 100
100= x squared
square root 100 = x = 10
If the given figure is sliced through points J. K. and L, which best describes the shape of the resulting cross-section?
A
OA parallelogram
OB. trapezoid
OC. rectangle
OD. triangle
Answers
The shape of the resulting cross-section will be equal to the trapezoid.
What is a trapezoid?A trapezoid is a quadrilateral having four sides whose two sides are parallel to each other and the other two sides are nonparallel to each other.
As it is given in the question the figure is sliced through points J. K. and When the shape is sliced from the given points it will create the trapezoidal shape that will have two parallel sides and the other two sides are Non-parallel
Therefore the shape of the resulting cross-section will be equal to the trapezoid.
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Answer:
Trapezoid
Step-by-step explanation:
I got it right on Edmentum
Hook me up with a 5 star and a thanks :)
Which coordinate point is a solution to the linear equation? (The graph counts by 1s)
Answers
Answer:
the point through which it passes i.e (1,5)
Answer:
(1,5)
Step-by-step explanation:
All points on the line is solution of the equation.
(1 ,5) is on the line and so it is the solution
st: Two- and Three-Dimensional Geometry
A solid machine part is to be manufactured as shown in the figure. The part is made by cutting a small cone off the top of a larger cone. The
small cone has a base radius of 3 inches and a height of 5 inches. The larger cone has a base radius of 9 inches and had a height of 15 inches
prior to being cut. What is the volume of the resulting part illustrated in the figure?
Answers
How is the graph of the parent function of y = RootIndex 3 StartRoot 0.5 x EndRoot transformed to produce the graph y = RootIndex 3 StartRoot x EndRoot?
It is horizontally stretched by a factor of mc031-3.
It is vertically stretched by a factor of mc031
It is translated left by mc031-5unit.
It is translated right by mc031-6.unit.
Answers
If any constant is added in the variable of the function. Then the function will shift towards left. Then the correct option is C.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The functions are given below.
y = ∛(0.5 + x)
y = ∛x
If any constant is added in the variable of the function. Then the function will shift towards left.
Then the correct option is C.
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Answer:
Step-by-step explanation:
The statement describe g (x) = RootIndex 3 StartRoot x minus 5 EndRoot + 7 by transforming the parent function is option C; Translate the parent function 5 units down and 7 units to the right.
How does transformation of a function happens?
The transformation of a function may involve any change.
Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units:
y=f(x+c) (same output, but c units earlier)
The transformed function can be written as
y = ∛(x - 5) + 7
Where f(x) = ∛x, this is of the form
y = ∛(x - 5) + 7
These numbers in these places correspond to ...
The statement describe g (x) = RootIndex 3 StartRoot x minus 5 EndRoot + 7 by transforming the parent function is option C; Translate the parent function 5 units down and 7 units to the right.
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There is a rack of 11 billiards balls, numbered from 1 to 11. If one ball is selected at random, determine the odds in favor of it being at an even-number ball.
Answers
Answer:
5/11 odds / 45.45% chance of being even-numbered
Step-by-step explanation:
There are 5 even-numbered balls (2, 4, 6, 8, 10) and 6 odd-numbered balls (1, 3, 5, 7, 9, 11). So, 5 / 11 balls are even-numbered
if a ball is selected, it has a chance of 5/11 for being even-numbered
5/11 also = 45.45 % [rounded] chance of being even-numbered
The high temperatures for the week of November 27- December 1 were 66 ℉, 7 1 ℉, 68 ℉, 70 ℉, and 65 ℉. What was the average high temperature (in ℉) for that week? Show your work.
Answers
Answer:
68 degrees Fahrenheit
Step-by-step explanation:
to find the average also known as mean, just add the numbers and divide by how many numbers there are.
66+71+68+70+65=340
Now, divide by how many numbers there are. There are 5.
So,
340÷5 = 68
the average is 68.
Write the equation that models the height of the roller coaster
Answers
Considering the circle described, the height of the roller coaster is modeled by the following equation:
[tex]y = \sqrt{900 - x^2}[/tex]
What is the equation of a circle?The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In this problem, the roller coaster is represented by a circle centered at the origin, with radius 30, hence:
[tex]x^2 + y^2 = 30^2[/tex]
[tex]x^2 + y^2 = 900[/tex]
The height is the value of y, hence, considering it is a positive value:
[tex]y^2 = 900 - x^2[/tex]
[tex]y = \sqrt{900 - x^2}[/tex]
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Figure the amount of concrete (in cubic yards) required to pour a floor slab of the following dimensions: 18′ × 24′ × 4′′. Show both exact and rounded figures in the blanks provided
Answers
The amount of concrete required to pour a floor slab of the following dimensions: 18′ × 24′ × 4′′ is 5.34 cu.yard.
What is a Cuboid ?A cuboid is a three dimensional shape , with 6 faces , each face is a rectangle.
The concrete can be considered as in the shape of a cuboid.
Length = 18
Breadth = 24'
Height = 4"
Volume of Cuboid = Length * Breadth * Height
Volume of the cuboid = 18 * 24 * 4 *12*12 *(0.0278)³
=5.34 cu.yard.
Therefore the amount of concrete required to pour a floor slab of the following dimensions: 18′ × 24′ × 4′′ is 5.34 cu.yard.
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Solve: XIV – VI. Show your answer as a Roman Numeral.
A. XIV
B. XII
C. X
D. VIII
Answers
Answer:
XIV - VI = VIII
Step-by-step explanation:
14 - 6 = 8
Hope this helps
Factor by grouping
5y^3(y-2)-15y(y-2)
Answers
5y³(y-2)-15y(y-2)
= (y-2)×(5y³-15y)
Which function is the inverse of f Superscript negative 1 Baseline (x) = negative one-half x minus three-halves?
f Superscript negative 1 Baseline (x) = one-half x minus three-halves
Answers
A function assigns the value of each element of one set to the other specific element of another set. The inverse of the function g(x)=-2x -3.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Two function are inverse of each other if,
f(g(x))=x
g(f(x)) = x
Since the function is inverse, therefore, we can write,
g(f(x)) = a(-1x/2 - 3/2) + b
x = -ax/2 - 3x/2 + b
-a/2 = 1
a = -2
-3a/2 + b = 0
b= -3
Thus, the inverse of the function g(x)=-2x -3.
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Answer:
the inverse of the function g(x)=-2x +3 .
Step-by-step explanation:
which one is the answer
Answers
Answer:
hmmm I get 216
Step-by-step explanation:
(10×7)+(6×8) the front n back triangle +(6×7)+(8×7)
Help please!!!
A school building has a 100-foot guy wire attached to the top of the building. When pulled taut it touches level ground 42 feet from the base of the school. At approximately what angle does the wire make with the ground? Give the answer in degrees.
A) 24.83° B) 65.17° C) 22.78° D) 42° E) None of these
Answers
Answer: E) None of these
As you can see in the picture below, the line falls at around 66 degrees, so it can't be any of the given choices. If this answer turns out to be wrong, then it is probably B.
Hope this helps!
what is a variable in mathematics?
Answers
Answer:
variable, In algebra, a symbol (usually a letter) standing in for an unknown numerical value in an equation. Commonly used variables include x and y (real-number unknowns), z (complex-number unknowns), t (time), r (radius), and s (arc length).
Answer:
variable, In algebra, a symbol (usually a letter) standing in for an unknown numerical value in an equation. Commonly used variables include x and y (real-number unknowns), z (complex-number unknowns), t (time), r (radius), and s (arc length).
Step-by-step explanation:
In Maths, a variable is an alphabet or term that represents an unknown number or unknown value or unknown quantity. The variables are specially used in the case of algebraic expression or algebra. For example, x+9=4 is a linear equation where x is a variable, where 9 and 4 are constants.
Fill in the blank (check all that apply).
2y and ____ are like terms.
Answers
Answer:
y,3y,4y,5y,6y,7y,8y,9y,10y ----------
Step-by-step explanation:
because if the variable is similar with y it is like term of 2y
Answer:
y,3y,4y,5y,6y,7y,8y,9y,10y ----------
Step-by-step explanation:
because if the variable is similar with y it is like term of 2y