Answer:
a) 37 500 ft²b) $2 052Step-by-step explanation:
a)
the area of the field :
= 250 × 150
= 37 500 ft²
……………………
b)
→ the number of bags needed :
37 500 ÷ 1 000
= 37.5
Then he needs 38 bag
→ The cost :
= 38 × 54.00
= 2 052
What are the solutions to the equation x^2+9x+12=6
Answer:
[tex]x= -\dfrac {9}2 +\dfrac{\sqrt{57}}{2},~~x = -\dfrac {9}2 - \dfrac{\sqrt{57}}{2}[/tex]
Step-by-step explanation:
[tex]~~~~~~~x^2 +9x +12 = 6\\\\\implies x^2 +9x = 6-12\\\\\implies x^2 +9x = -6\\\\\implies x^2 +2 \cdot \dfrac 92 \cdot x +\left(\dfrac 92\right)^2 -\left( \dfrac 92 \right)^2 = -6\\\\\implies \left(x+ \dfrac 92 \right)^2 -\dfrac{81}{4}= -6\\\\\implies \left(x +\dfrac 92 \right)^2 = -6 + \dfrac{81}4\\\\\implies \left(x + \dfrac92 \right)^2 = \dfrac{57}{4}\\\\\implies x+ \dfrac 92 = \pm\sqrt{\dfrac{57}4}\\\\\implies x = -\dfrac {9}2 \pm\dfrac{\sqrt{57}}{2}[/tex]
if a pen and a pencil cost 1.10$ but the pen cost is 1$ more than pencil
Answer:
The pencil cost $0.05 and the pen cost $1.05.
Step-by-step explanation:
Let, the price of the pencil is $ .
Given that the pen costs a dollar more than the pencil,
So, the price of the pen=$+1.
Therefore, ++1=1.10
, 2+1=1.10
, 2=1.10–1
, 2=0.10
, =0.10/2
, =0.05
The pencil cost $0.05 and the pen cost $1.05.
let A={1,2,3,4,5} and B={4,5,6} Let R is relation from A to B defined by R={(a,b):a+b ⊆ B} Then Find 1. R 2. Domain (R) 3. Range (R) 4.Inverse of R
1. Disregard my comment. Since R is said to be a relation from A to B, we take both a ∈ A and b ∈ A. Then the set R is the pairs (a, b) whose entries' sum belongs to B.
We have
• 4 = 1 + 3 = 2 + 2 = 3 + 1, so R contains (1, 3), (2, 2), and (3, 1)
• 5 = 1 + 4 = 2 + 3 = 3 + 2 = 4 + 1, so R contains (1, 4), (2, 3), (3, 2), and (4, 1)
• 6 = 1 + 5 = 2 + 4 = … = 5 + 1, so R contains (1, 5), (2, 4), …, (5, 1)
Then
R = {(1, 3), (1, 4), (1, 5), (2, 2), (2, 3), (2, 4),
… (3, 1), (3, 2), (3, 3), (4, 1), (4, 2), (5, 1)}
2. The domain of R is the set of all values a in the pairs (a, b) belonging to R :
dom(R) = {1, 2, 3, 4, 5}
3. The range of R is the set of all values b in those same pairs:
range(R) = {1, 2, 3, 4, 5}
4. The inverse of R is the set with the same elements as R, but the entries are swapped:
inv(R) = {(3, 1), (4, 1), (5, 1), (2, 2), (3, 2), (4, 2),
… (1, 3), (3, 2), (3, 3), (1, 4), (2, 4), (1, 5)}
In this case, we have R = inv(R).
What is the missing coefficient of the x-term of the product (-x-5)² after it has been simplified?
O-25
O-10
O10
25
The missing coefficient of the x-term after finding the product of (-x - 5)², is: C. 10.
What is the Coefficient of a Variable?The coefficient of a variable is the numerical value that comes before the variable and multiplies it.
Find the product of (-x - 5)²:
(-x - 5)(-x - 5)
-x(-x - 5) -5(-x - 5)
x² + 5x + 5x + 25
x² + 10x + 25
The x-term is "10x". The coefficient is: 10.
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A 2100-square-foot home is for sale. The finished basement has an area of 455 square feet. The basement accounts for what percent of the total square footage?
Given the area of the house and the basement, the basement accounts for 21.67 percent of the total square footage.
What is Percentage?Percentage is simply number or ratio expressed as a fraction of 100.
It is expressed as;
Percentage = ( Part / Whole ) × 100%
Given that;
Area of the house = 2100ft²Area of the basement = 455ft²Percentage of area occupied by the basement = ?Percentage = ( Part / Whole ) × 100%
Percentage = ( 455ft² / 2100ft² ) × 100%
Percentage = 0.21666 × 100%
Percentage = 21.67%
Given the area of the house and the basement, the basement accounts for 21.67 percent of the total square footage.
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Many animals have skeletons that provide support so that they can remain upright. In contrast, plants cells depend on a cellular structure for support. What structure provides support for a plant cell? A. nucleus B. cell wall C. chloroplast D. cell membrane
Answer:
B. Cell Wall
unlike animal cells, plant cells have walls instead of just membranes
Answer:
b cell wall
Step-by-step explanation:
Evaluate the series 12 + 6 + 3 + . .
A) 21
B) 1.5
C) 2
D) 24
All the numbers follow a pattern of division by 2
Therefore the next number is 3/2 which is equal to 1.5
Match the vocabulary words with their definitions. 1. an arrangement of data in logical order predict 2. to tell something in advance chart 3. a list of facts from which a conclusion can be drawn random sample 4. an opinion of the amount, value, or worth of something average 5. dividing the total number by the number being counted estimation 6. every member of a large group has an equal chance of being chosen data
Answer:
sorting, predict, data, access, divisor, sampling
Step-by-step explanation:
hosting a dinner party for 38 people, you plan to serve peach pie for dessert. Each pie has 8 slices. how many pies must your buy to ensure each guest gets 1 slice
Answer:
4.75 or round up to 5.
Step-by-step explanation:
if each pie has 8 slices, then you must do 8+8+8... and so on until u reach 38. However you wont get exactly 38 because 8 doesn't add up evenly into 38. You can find the exact number by divding the amount of people, 38, by the number of slices per pie, 8. The answer will be 4.75 but you can not buy a fraction of a pie so you must round up to 5 whole pies. There will be extra left over in the end, but you cant round down because 4 pies would not be enough, so you must buy 5.
Scientist want to estimate the population of a particular species of snake.
They collect a sample population of 20 snakes and mark them with tags.
After a few months they catch 120 snakes, 17 of which are marked with
tags. What is the best estimate of the total population of snakes?
Answer:
the answer is yuo 4utvnjj
Answer:
Step-by-step explanation
Answer= 224
x=224
190x20=3,800/17=223.529412 (make sure to round up)
224
Emanuel used the calculations below to find the product of the given fractions.
(Three-fifths) (StartFraction 4 over 9 EndFraction) (Negative one-half)
Step 1 StartFraction (3) (4) (negative 1) over (5) (9) (negative 2) EndFraction
Step 2 StartFraction negative 12 over negative 90 EndFraction
Step 3 StartFraction 12 over 90 EndFraction
Step 4 StartFraction 2 over 15 EndFraction
In which step did his first error occur?
step 1
step 2
step 3
step 4
Answer:
step 1
Step-by-step explanation:
The product of fractions is the quotient of the product of the numerators and the product of the denominators. When negative fractions are involved, the sign of the result will be negative if the number of minus signs among the factors is odd.
__
setupThe product Emanuel wanted to compute was ...
[tex]\dfrac{3}{5}\cdot\dfrac{4}{9}\cdot\left(-\dfrac{1}{2}\right)[/tex]
step 1The first calculation step used was ...
[tex]=\dfrac{3\cdot4\cdot(-1)}{5\cdot9\cdot(-2)}\qquad\textbf{Error}\text{ -- a minus sign added}[/tex]
The error was in the first step where a minus sign was added. This brings the total to an even number of minus signs, changing the sign of the result.
__
A more appropriate first step might have been ...
[tex]=-\dfrac{3\cdot4\cdot1}{5\cdot9\cdot2}\qquad\text{correct first step}[/tex]
Students in MA238 spend on average 3.75 hours a week studying (with a population standard deviation σ = 5.17). (i) Given this fact, describe the sampling distribution of the mean if all possible random samples of size 50 were chosen. (ii) What can you say about the mean of all the possible sample means? (iii) If 250 such samples were chosen at random and for each you calculated a 95% C.I for the mean, how many such intervals would you expect to contain the true mean? (iv) If instead you calculated a 99% C.I. for the mean, how many intervals would you now expect to capture the true mean.
The sampling distribution of the mean if all possible random samples of size 50 were chosen will be 0.731.
How to depict the sample?From the information given, the mean of all the possible sample means will be:
= 5.17/✓50
= 5.17/7.071
= 0.731
It should be noted that the sample means will have the same mean as the population.
The intervals that you would expect to contain the true mean will be:
= 0.95 × 250
= 237.5 intervals
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solve 8 = 2^x + 4.
A. x=-4
B. x=-1
C. x=0
D. x=7
How many times does 17 go into 553?
What is the product?
StartFraction 2 y Over y minus 3 EndFraction divided by StartFraction 4 y minus 12 Over 2 y + 6 EndFraction
Two-thirds
Ten-ninths
StartFraction 4 y Over y minus 3 EndFraction
StartFraction 4 y Over y + 3 EndFraction
The value of the product [tex]\frac{2y}{y -3} \times \frac{4y - 12}{2y + 6}[/tex] is [tex]\frac{4y}{y + 3}[/tex]
How to determine the fraction?The product expression is given as:
[tex]\frac{2y}{y -3} \times \frac{4y - 12}{2y + 6}[/tex]
Factorize each factor of the expression
[tex]\frac{2y}{y -3} \times \frac{4(y - 3)}{2(y + 3)}[/tex]
Cancel the common factors
[tex]\frac{y}{1} \times \frac{4}{y + 3}[/tex]
Evaluate the product
[tex]\frac{4y}{y + 3}[/tex]
Hence, the value of the product [tex]\frac{2y}{y -3} \times \frac{4y - 12}{2y + 6}[/tex] is [tex]\frac{4y}{y + 3}[/tex]
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Answer:
4y/y+3
Step-by-step explanation:
edge 2022
find the area of Δ ABC
Answer:
The answer would be 30 feet^2.
Step-by-step explanation:
The formula for the area of a triangle is [tex]\frac{bh}{2}[/tex]. The base and height are 15 and 4, turning the equation into [tex]\frac{15(4)}{2}[/tex]. 15 times 4 is equal to 60 and 60 divided by 2 is equal to 30, getting you your answer of 30 feet^2. I hope this helps! :)
Select three deductions someone would see on their paystubs.
Marital Status Tax
Excise Tax
Medicare Tax
Federal Income Tax
Social Security Tax
The three deductions someone would see on their paystubs are:
A. Social Security Tax
C. Federal Income Tax
D. Medicare Tax
What is paystubs?Paystubs is a paycheck and can be defined as a check that an employer issued out to the employee for the service the employee rendered to the employer.
The three deductions someone would see on their paystubs are:
Social Security Tax
Federal Income Tax
Medicare Tax
Therefore the correct options are A, C, D.
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In a certain Algebra 2 class of 28 students, 14 of them play basketball and 19 of them play baseball. There are 5 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball?
Answer:
23/28 (82.1%)
Step-by-step explanation:
See attached Venn Diagram
23 out of 28 play basketball or baseball
an isosceles triangle has two 5.5 cm sides and two 32.4 angles. find the area and primeter of this triangle.
The area and perimeter 10.7625 sq. cm and 11.5536 cm.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
let us construct perpendicular bisector.
Using trigonometry
cos [tex]\theta[/tex]= B/H
cos 32.4 = x / 5.5
5.5 cos 32.4 =x
We will consider the third side 2x.
So, 2( 5.5 cos 32.4) is the third side
P = 5.5 + 5.5 + 2( 5.5 cos 32.4)
= 11 + 0.5536
= 11.5536 cm
Area= 1/2* 5*5* sin 115.2
= 12.5 * 0.861
= 10.7625 sq. cm
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Homework Due Tomorrow please help me it would be great
Answer:
c
Step-by-step explanation:
work out the average for the data below
Solvex²= 12x-15 by completing the square. Which is the solution set of the equation?
-6- √51, -6 + √51)
1-6-√21, −6+ √21}
(6-√51, 6+ √51)
16-√21, 6+ √21}
Answer
B
Step-by-step explanation:
The solution to the equation by completing the square is (6 - √21, 6 + √21)
How to complete the square?The equation is given as:
x²= 12x-15
Rewrite as:
x² -12x = -15
Take the coefficient of x
k = -12
Divide by 2
k/2 = -6
Square both sides
k/4 = 36
Add 36 to both sides of x² -12x = -15
x² -12x + 36 = -15 + 36
Evaluate the sum
x² -12x + 36 = 21
Express the equation as a perfect square
(x - 6)² = 21
Take the square root of both sides
x - 6 = ±√21
Add 6 to both sides
x = 6 ± √21
Split
x = (6 - √21, 6 + √21)
Hence, the solution to the equation by completing the square is (6 - √21, 6 + √21)
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Identify the remainder when -2x2 + 15x is divided by x - 7.
Answer:
The remainder is 9
Step-by-step explanation:
x-7=0
x=7
Plug x=7 into the given fxn
-2(7)²+15(7)
-2(49)+105
-96+105
9
What are the zeros of f(x) = x(x − 9)?
Answer:
x = 0 , x = 9
Step-by-step explanation:
to find the zeros let f(x) = 0 , that is
x(x - 9) = 0
equate each factor to zero and solve for x
x = 0
x - 9 = 0 ⇒ x = 9
Answer:
The X-intercepts are 0,0 and 9,0
Carol buys a house for £234 900
She pays a 10% deposit.
Work out the amount of deposit paid by Carol.
Answer:
£23490
Step-by-step explanation:
10/100×£234900=23490
The graph of a linear function is shown.
Which word describes the slope of the line?
• positive
• negative
• zero
• undefined
Answer:
Slope is positive
Answer:
• positive
Step-by-step explanation:
Here is what you need to know:
slope up to the right: positive slope
slope down to the right: negative slope
horizontal line: zero slope
vertical line: undefined slope
Look at the graph. the line slopes up to the right, so it is a positive slope.
Doug mcdougal is whipping up 72 different snacks for his 12th annual blooper bowl bash he invited 138 guess but only 16 are coming that doesn’t bother dog he still makes 100 bowls of nacho dip he makes twice as many bowls of chili how many guests are coming to the party
The number of guests coming to Doug McDougal party can be calculated to be 23 people.
What number of people are coming?Doug invited 138 guests and out of this, only 1/6 will be coming.
The number of people coming is therefore:
= Number invited x Proportion coming
Solving gives:
= 138 x 1/6
= 23 people
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Solve for x in the equation x squared minus 12 x + 59 = 0.
The value of x in the equation is -4.92
How to solve for x?The equation is given as:
12x + 59 = 0
Add -59 to both sides of the equation
12x = -59
Divide by 12
x = -59/12
Evaluate
x = -4.92
Hence, the value of x in the equation is -4.92
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[tex]x^2-12x+59=0\\x^2-12x+36+23=0\\(x-6)^2=-23\\x\in\emptyset[/tex]
This rectangle is composed of two parts, labeled 1 and 2.
5√2 in
3 in
1
3√2 in
2
What are the areas of each smaller rectangle and the large rectangle?
Drag each tile to the correct location on the image. Not all tiles will be used.
The area of part 1 is
square inches.
The area of part 2 is:
square inches.
The area of the entire rectangle is:
square inches.
The area of part 1 is 15√2 square in, the area of part 2 is 30 square in, and the area of the entire rectangle is (30 + 15√2) square in.
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
The area of part 1 = 5√2×3 = 15√2 square in
The area of the part 2 = 5√2×3√2 = 15×2 = 30 square in
The area of the entire rectangle = area of part 1 + area of part 2
= (15√2 + 30) square in or
= (30 + 15√2) square in
Thus, the area of part 1 is 15√2 square in, the area of part 2 is 30 square in, and the area of the entire rectangle is (30 + 15√2) square in.
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log_8(5x+4)=3x-4
Write the log equation as an exponential equation. You do not need to solve for X
The equivalent equation of the logarithmic equation is [tex]5x + 4 = 8^{3x - 4}[/tex]
How to rewrite the equation?The logarithmic equation is given as
Log_8(5x+4)=3x-4
Rewrite properly as:
[tex]\log_8(5x+4)=3x-4[/tex]
Apply the following law of logarithm
[tex]\log_a(b) = x \to a = b^x[/tex]
So, we have:
[tex]5x + 4 = 8^{3x - 4}[/tex]
Hence, the equivalent equation of the logarithmic equation is [tex]5x + 4 = 8^{3x - 4}[/tex]
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Select whether the pair of lines is parallel, perpendicular, or neither.
y=2x+4, y=2x−10
Answer:
parallel
Step-by-step explanation:
the equations of the the 2 lines have the same gradient 2x . this makes them parallel.