Alfredo is employed on an assembly line. He receives 35 cents for each part that he works on. If he works on more than 150 parts, his employer will pay him 40 cents for each part over 150. Yesterday, Alfredo worked on 210 parts. How much did he earn?

SHOW ALL WORK

Answers

Answer 1

Answer:

$76.50

Step-by-step explanation:

Let's split this up.

First, we will do the 150 parts. But, we need to subtract so that we know how many parts he worked on over 150.

So...

210-150=60

Now that we know how many parts he worked on over 150, let's multiply.

.35*150=52.50

Now, let's multiply what he did over 150.

.40*60=24

Finally, we have to add his pay up.

52.50+24.00=76.50

Making your answer...

$76.50

Hope this helps!!!

Brady


Related Questions

(-7)2 (-5)3= evaluate

Answers

Answer:

Step-by-step explanation:

(-7)2 (-5)3 = -14 * -15  = 210

What is the difference of the polynomials? (5x3 + 4x2) – (6x2 – 2x – 9) –x3 + 6x2 + 9 –x3 + 2x2 – 9 5x3 – 2x2 – 2x – 9 5x3 – 2x2 + 2x + 9

Answers

Answer:

5x^3 - 2x^2 + 2x + 9.

Step-by-step explanation:

(5x^3 + 4x^2) – (6x^2 – 2x – 9)

Remove the parentheses . Note the negative is distributed over the second parentheses:

=  5x^3 + 4x^2 – 6x^2 + 2x + 9

=  5x^3 - 2x^2 + 2x + 9.

Answer:

d

Step-by-step explanation:

edge 2020

Sketch a rectangle and label its dimensions that meets the following conditions perimeter 18 area 20

Answers

Answer:

4 units by 5 units

Step-by-step explanation:

To solve this problem, then we must develop two equations; one for the perimeter and another for the area of the rectangle.

The perimeter of a rectangle = 2(L +B)

The area of a rectangle = L x B

Let the length be represented by L while the breadth is denoted by B. Then, our equations are

         2L + 2B =18  ---  eq 1

and  

          LB = 20  ----- eq 2

From eq 2, then  L = 20/B

We shall substitute this in equation 1 such that

2(20/B) + 2B =18

= 40/B + 2B = 18

= 40/B + 2B/1 = (40 + 2B^2) /B =18

We do cross multiplication by multiplying both sides of the equation by B.

We get

 40 + 2B^2 = 18B

We then rearrange the equation as   2B^2- 18B + 40 = 0

Dividing both sides by 2, we get B^2- 9B =20 =0

We shall get the roots of the equation to be -4 and -5. Why?  

-4B-5B =-9  and -4x-5 =20

Thus, B^2- 9B =20 =0 can be reworked as  

(B-4) (B-5)= 0   From B-4=0, B= 4

                   From LB =20, If B =4, then L =20/4 = 5

                           From B-5=0; B=5

                  From LB =20, If B=5, L = 20/5 = 4

Thus, the dimensions of the rectangle are 5 units and 4 units.

In the number 767, does the first 7 have the same value as the final? Why or why not?

Answers

Answer:

In the number 767, the first 7 does not have the same value as the final 7. This is because the first 7 is in the hundreds place, and that would be 700, if the other numbers weren't there. On the other hand, the last 7 is in the ones place, so if it was by itself, it would be just 7.

Mary Seitz invested a certain amount of money in a savings account paying 5% simple interest per year. When she withdrew her money at the end of 3 years, she received $300 in interest. How much money did Mary place in the savings account?

Mary Seitz invested $ blank in the savings account.

Answers

Answer:

Mary Seitz invested $ 2,000 in the savings account.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Interest rate = 5% simple = 0.05

Time of the investment = 3 years

Amount of interest = $ 300

2. How much money did Mary place in the savings account?

Let's recall the formula of the simple interest:

A = P * (1 + rt), where:

A = Final value of the investment

P = Initial investment

r = Interest rate

t = Time

Replacing with the values we know:

A = P * (1 + 0.05 * 3)

A = P * (1 + 0.15)

P + 300 = 1.15P (A = P + 300)

P - 1.15P = -300

-0.15P = -300

P = -300/-0.15

P = 2,000

Mary Seitz invested $ 2,000 in the savings account.

Give the numerical coefficient of -11x

Answers

Answer:

-11

Happy to Help You! :)

-11 is the answer maybe

Mark's computer weighs 35.769 pound
What is the weight of his computer
rounded to the nearest hundredth?

Answers

It would be 35.77. The 6 is in the hundredths place, so you look to the number to its right. If the number is 0-4, keep the number the same. If it's 5-9, round up.

Answer:

Step-by-step explanation:

35.800

Which is the graph of linear inequality 2y > x – 2?

On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the right of the line is shaded.

On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the left of the line is shaded.

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the left of the line is shaded.

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the right of the line is shaded.

Answers

Answer:

Option 3

Step-by-step explanation:

Given : Linear inequality [tex]2y>x-2[/tex]

To find : Which is the graph of linear inequality ?

Solution :

Linear inequality [tex]2y>x-2[/tex]

First we figure out the slopes and coordinates through which it pass.

The linear equation is  [tex]2y=x-2[/tex]

The general slope form of line is [tex]y=mx+c[/tex]

Where, m is the slope and c is the y-coordinate

Re-write the equation [tex]y=\frac{1}{2}x-1[/tex]

On compare,

Slope is positive [tex]m=\frac{1}{2}[/tex]

The y-coordinate is (0,-1)

For x-coordinate put y=0,

[tex]2(0)=x-2[/tex]

[tex]x=2[/tex]

The x-coordinate is (2,0).

Now, Plotting the linear inequality and mark the point (-4,-3).

Refer the attached figure below.

We get, On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the left of the line is shaded.

Therefore, Option 3 is correct.

Final answer:

The correct graph of the linear inequality 2y > x - 2 will be represented by a dashed line with a positive slope, where the shaded area is above the line representing all points where y is greater than 0.5x - 1. Thus, option 3 is correct.

Explanation:

The graph of the linear inequality 2y > x – 2 must be represented by a dashed line because the inequality is strict (does not include the line itself). First, we should identify whether the line is dashed or solid and the slope of the boundary line from the equation. Since it is a 'greater than' and not 'greater than or equal to' inequality, the line will be dashed. Now let's rearrange the inequality to the slope-intercept form, which is y = mx + b, to find the slope and y-intercept:

2y > x – 2

y > 0.5x - 1

Here, the slope (m) is positive, which is 0.5, and the y-intercept (b) is -1. Therefore, the line rises by 0.5 on the y-axis for every increase of 1 on the x-axis. The y-intercept tells us the line will cross the y-axis at (0, -1). Hence, the line will have a positive slope, and the shaded region should be above the dashed line indicating all points where the y-values are greater than those on the line.

What’s the volume of a cone with a radius of 3cm and a height of 4.5cm

Answers

Answer:

42.41

Step-by-step explanation:

V=π[tex]r^{2}[/tex][tex]\frac{h}{3}[/tex]=π * [tex]3^{2}[/tex] * ≈ 42.4115

The volume of a cone with a radius of 3cm and height of 4.5cm is approximately 42.41 cubic centimeters.

The volume (V) of a cone can be found using the formula: V = (1/3)πr²h, where r is the radius of the base and h is the height of the cone. To find the volume of a cone with a radius of 3cm and a height of 4.5cm, we substitute these values into the formula:

V = (1/3)π(3cm)²(4.5cm)

Calculating this further:

V = (1/3)π(9cm²)(4.5cm)

V = (1/3)π(40.5cm³)

V ≈ (1/3)(3.14159)(40.5cm³)

V = 42.41cm³

Therefore, the volume of the cone is approximately 42.41 cubic centimeters.

factor completely 3x^2+9x-3
3(x^2+3)
3(x^2+3-1)
3x(x^2+3x-1)
prime​

Answers

Answer:

Answer from the answer data to choose from

3(x² + 3x - 1)

Factor completely

[tex]3\left(x+\dfrac{3-\sqrt{13}}{2}\right)\left(x+\dfrac{3+\sqrt{13}}{2}\right)[/tex]

Step-by-step explanation:

[tex]3x^2+9x-3=(3)(x^2)+(3)(3x)-(3)(1)\\\\=(3)(x^2+3x-1)\\\\\text{For}\ x^2+3x-1\ \text{use the quadratic formula}\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x^2+3x-1\to a=1,\ b=3,\ c=-1\\\\x=\dfrac{-3\pm\sqrt{3^2-4(1)(-1)}}{2(1)}=\dfrac{-3\pm\sqrt{9+4}}{2}=\dfrac{-3\pm\sqrt{13}}{2}=-\dfrac{3\pm\sqrt{13}}{2}\\\\3x^2+9x-3=3\left(x+\dfrac{3-\sqrt{13}}{2}\right)\left(x+\dfrac{3+\sqrt{13}}{2}\right)[/tex]

A number cube, labeled 1 to 6, is rolled once. What is the theoretical probability that a 4 is rolled

Answers

Answer:

1 out of 6 chance

Step-by-step explanation:

Since there are 6 possible numbers that could be rolled, and 1 number, the number 4, the chances are a 1 out of 6 chance.

you only have a 1/4 measuring cup and a recipe calls for 8 3/4 cups of flour how many 1/4 cups would you need to use?

Answers

Answer:

35 cups are needed.

Step-by-step explanation:

We have to divide 8 3/4 by 1/4.

Convert to improper fraction.

8 3/4 = [(8*4) + 3] / 4

= 35 / 4.

35/4 / 1/4

= 4*35 / 4

= 35 cups.

Final answer:

To measure out 8 3/4 cups of flour using a 1/4 measuring cup, you would need to use 35 1/4 cups.

Explanation:

To determine how many 1/4 cups you would need to use, you can divide the total amount of flour required by the size of the measuring cup. In this case, the recipe calls for 8 3/4 cups of flour. So, you would divide 8 3/4 by 1/4.

When you divide a fraction by another fraction, you can multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 1/4 is 4/1, which is the same as 4. So, 8 3/4 ÷ 1/4 is equal to 8 3/4 * 4, which is 35.

Therefore, "you would need to use 35 1/4 cups to measure out 8 3/4 cups of flour".

Learn more about Measuring Cups here:

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6. Dakota got a job at IKEA. He will be getting paid $4.25 per hour for testing the sofas and beds. How much will he earn
for 7 hours of hard work testing those sofas and beds?

Answers

Answer:

Yeah so its obvious

Step-by-step explanation:

you just multiply 7 x 4.25

Dakota will earn $29.75 for 7 hours of work at IKEA, by multiplying his hourly wage of $4.25 by 7 hours.

Dakota will be getting paid $4.25 per hour for testing sofas and beds at IKEA. To find out how much Dakota will earn for 7 hours of work, we simply need to multiply the hourly wage by the number of hours worked. The calculation is as follows:

Calculation

Hourly Wage: $4.25

Hours Worked: 7 hours

Total Earnings = Hourly Wage  imes Hours Worked

= $4.25 times 7

= $29.75

Therefore, Dakota will earn $29.75 for 7 hours of work testing sofas and beds.

What is the slope of the line in the graph?

Answers

Answer:

answer is 1 hoping I'm right

7 because it’s the negative and positive

k/7 = 32/56
k=
What does k equal

Answers

Answer:One solution was found :

                  k = 400

Reformatting the input :

Changes made to your input should not affect the solution:

(1): ".56" was replaced by "(56/100)".

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    k/7-(32/(56/100))=0  

Step by step solution :

Step  1  :

           14

Simplify   ——

           25

Equation at the end of step  1  :

 k    14

 — -  ——  = 0  

 7    25

Step  2  :

                14

Divide  32  by  ——

                25

Equation at the end of step  2  :

 k    400

 — -  ———  = 0  

 7     7  

Step  3  :

           k

Simplify   —

           7

Equation at the end of step  3  :

 k    400

 — -  ———  = 0  

 7     7  

Step  4  :

Adding fractions which have a common denominator :

4.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

k - (400)     k - 400

—————————  =  ———————

    7            7    

Equation at the end of step  4  :

 k - 400

 ———————  = 0  

    7    

Step  5  :

When a fraction equals zero :

5.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 k-400

 ————— • 7 = 0 • 7

   7  

Now, on the left hand side, the  7  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  k-400  = 0

Solving a Single Variable Equation :

5.2      Solve  :    k-400 = 0  

Add  400  to both sides of the equation :  

                     k = 400

One solution was found :

                  k = 400

Step-by-step explanation:

K= 4

4/7=32/56

How do we find this?

First we divide 56 by 7 which gives us 8. This tells us that the numerator and denominator were multiplied by 8 to get 32/56. So now we can divide 32 by 8 which equals 4. Therefore our answer is 4

Can you help and when you answer please put down the letter of the question you are answering

Answers

Answer:

a. 10 5/8

b. 1 4/9

c. 5 7/12

d. 17 5/6

e. 5 1/10

f. 4 7/8

g. 133 3/8

h. 24 11/12

i. 19 7/10

j. 11 5/12

k. 1 5/12

l. 13 7/9

Step-by-step explanation:

Hello! The step by step solution is to simply add them together. Let's take a. 7 3/8 + 3 1/4 for an example. Change the denominator (the bottom number of the fraction) into something both can go into. 4 can go into 8 and 8 can go into 8. Rewrite the fractions beside the actual numbers. Example: /8 and /8 then remember, 4 goes into 8 two times. So do 1x2=2. Then remember 8 goes into 8 1 time so do 3x1=3. Add the two fractions 3/8+2/8= 5/8. Then add the whole numbers as well. 7+3+5/8= 10 5/8. I know that it's really confusing explaining it through words but if you ever need further explanation don't hesitate to ask! :)

An airplane is at an elevation of 4,280 ft. It ascends 500 ft and later descends1,500 ft. What is its final elevation?

Answers

Answer: 5280

Step-by-step explanation: just do 4280-500=3780

and then add 1500 to 3780 and you get 3180+1500=5280 wich is your answer

23. The price of jeans was reduced $6 per week
for 7 weeks. By how much did the price of
the jeans change over the 7 weeks?

Answers

Answer:

$42

Step-by-step explanation:

Every week, the price of jeans reduced by $6.

The total value of price reduction over the 7-week period can be calculated as the product of price reduction per week and the number of weeks. Thus,

Total price reduction = price reduction per week x number of weeks

                          = $6 x 7

                           =$ 42

the sum of four consecutive integers is -18. What is the greatest of these integers?​

Answers

Answer:

Step-by-step explanation:

The integers are -3,-4,-5, and -6.

-3+ -4+ -5+ -6= -18

10. T-shirts normally cost $12 each. Two shops have a
special offer on these T-shirts.
EcoShir
One fourth OFF the
Pay for three T-shirts and get one free
budgetShirts
one fourth off the normal price
Stephen wants to buy 30 T-shirts.
Work out at which shop, Stephen will get the better
deal. You must show clearly how you got your
answer.​

Answers

Answer:

The EcoShir shop

Step-by-step explanation:

as he needs to pay 4dollar for 1 shirt

so if he pays for 3 = 12 dollar for 4 shirts

and thus need to pay maximum 96 dollars

for 32 Tshirts

but needs to pay 120 in budgetShirts for 30 Tshirts

HURRY BEIN TIMED I NEED HELP QUICK!!!!!!
A coordinate grid with 2 lines. One line, labeled f(x) passing through (negative 3, 3), (0, 3), and the point (4, 3). The other line is labeled g(x) and passes through (negative 4, negative 3), (0, 0), and the point (4, 3).
Which input value produces the same output value for the two functions on the graph?

x = −1
x = 0
x = 3
x = 4

Answers

Answer: x = 4

Step-by-step explanation:

Given : A coordinate grid with 2 lines.

One line, labeled f(x) passing through (- 3, 3), (0, 3), and the point (4, 3). (i)

The other line is labeled g(x) and passes through (- 4, -3), (0, 0), and the point (4, 3).                                                                                  (ii)

We generally denote x values as input values and y values as output values.

From (i) and (ii), the common point on both lines = (4,3)

Here, input value = 4

Output value = 3

Hence, the input value produces the same output value for the two functions on the graph : x=4

Eight increased by the product of a number and 5 is at most -28 (translate the sentence into an inequality)

Answers

Answer:

The inequality would be 8+5x[tex]\leq[/tex]-28

Step-by-step explanation:

The sentence says "8 increased", this is telling you that the inequality includes the number 8 that is being added to something else.

"Product of a number and 5", this tells you that there is a variable that is being multiplied by 5.

"at most -28" means that it is less than or equal to -28.

Final answer:

The sentence 'Eight increased by the product of a number and 5 is at most -28' is translated into the inequality 8 + 5x <= -28, which simplifies to x <= -7.2.

Explanation:

The sentence "Eight increased by the product of a number and 5 is at most -28" can be translated into the following inequality:


Let x be the unknown number. Then the product of this number and 5 would be 5x. According to the sentence, if you increase eight by this product (which is 8 + 5x), the result should be 'at most -28'. In mathematical terms, 'at most' means less than or equal to. So, the inequality that represents this sentence is:


8 + 5x ≤ -28


To solve the inequality, subtract 8 from both sides:


5x ≤ -28 - 8

5x ≤ -36


Finally, divide both sides by 5 to isolate x:


x ≤ -36 / 5

x ≤ -7.2


This inequality means that x, the unknown number, must be less than or equal to -7.2.

What should I do if my binder is at school with homework :(

Answers

Answer:get a ride back to the school or take it as missing at get like 25% off. Or print the homework

Step-by-step explanation:

Answer:

Email your teacher your problem or try to look if it is online

Step-by-step explanation:

whats the place value of 9,275 and 9,527​

Answers

Answer:

The nine in 9275 is the thousands, the 2 in 9275 is the hundreds and the 7 in 9275 is the tens and the 5 in 9275 is the ones so try the second one u got this

9 is thousands 2 is hundreds 7 is tenths and 5 is in ones and same for others

(7•7•7•7•7)•6•6•6•6•6•6. Write your answer using a exponent.

Answers

Answer:

Step-by-step

In the exponent we write how many times the number is repeated.

[tex]7^{5}[/tex] x [tex]6^{6}[/tex]

Answer:

7⁵ x 6⁶

Step-by-step explanation:

We have 5 7's and 6 6's.

I'm always happy to help :)

Find the total cost to the nearest cent.
$9,000 car: 5% sales tax​

Answers

Answer:

$9,450.00

Step-by-step explanation:

to take sales tax, you convert the % into a decimal ( in this case 5% is equal to 0.05) and multiply that by the cost of the product:

9,000 x 0.05 = 450

that is the amount that you pay in tax. In order to get the entire total add that amount to the original price:

9,000 + 450 = 9,450

what is 7.56 in fraction form

Answers

Answer:

Step-by-step explanation:756/100

Answer:

756/100

189/25 (simplest form)

7 14/25 ( mixed number)

Step-by-step explanation:

To write 7.56 as a fraction you have to write 7.56 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

7.56 = 7.56/1 = 75.6/10 = 756/100

Danielle can run one mile in 8.835 minutes Alex can run 1 mile and 9.75 minutes how much longer in minutes does it take for Alex to run 1 mile that it takes Danielle ​

Answers

Answer:

0.915 minutes

Step-by-step explanation:

First, take the 9.75 minutes that it takes Alex and the 8.835 minutes it takes Danielle.

Second, line up the numbers annexing zeros as placeholders as needed.

Third, subtract them

9.750

-8.835

-----------

0.915

If x= –4 and y= 3 , what is the value of x–3y2 ?

Answers

Answer:

-31

Step-by-step explanation:

(-4)-3(3)^2

-4-3(9)

-4-27=-31

Hey!

---------------------

Solution:

= x - 3y²

= (-4) - 3(3)²

= (-4) - 27

= -31

---------------------

Answer:

-31

---------------------

Hope This Helped! Good Luck!

What else would need to be congruent to show that ABC = XYZ by ASA?
Given:
Z=C
CB=ZY

A. Y=B
B. AC=XZ
C. BC=YZ
D Z=A

Answers

The answer would be A because line CB is equivalent to ZY tight? And angles Z and C are congruent. We also know that they are congruent by a ASA relationship, so then angles Y and B are congruent, the answer is A.

Final answer:

To establish that triangles ABC and XYZ are congruent by ASA, we need two pairs of angles and one pair of sides to be congruent. Given that angle Z equals angle C, side CB equals side ZY, the missing piece is option D: Z equals A.

Explanation:

In the problem statement, we're given that triangle ABC = XYZ by ASA, which stands for Angle-Side-Angle congruence. To establish this, we require two angles and one side of the triangle to be congruent. The given details tell us that angle Z is congruent to angle C, and side CB is congruent to side ZY.

To complete the ASA proof, we need another pair of angles to be congruent. Based on the options presented in the question, option D Z=A will fulfill this requirement, thereby proving ABC = XYZ by ASA.

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AgCl = 143.3 g/mol Enter your answer in decimal format with three decimal places and no units. The width of a rectangle is 1 2 of its length. What are the sides of the rectangle if its perimeter is 63 in.? Answer: The width is in, the length is in Which of the following is true about nuclear fission?Question 2 options:If you add the masses of all the products after fission, they are GREATER than the mass of the reactants.If you add the masses of all the products after fission, they are the SAME as the mass of the reactants.If you add the masses of all the products after fission, they are LESS than the mass of the reactants.The mass of the products is 100 times greater than the original nucleus. An endangered species of fish has a population that is decreasing exponentially:A=A0 e^kt The population 10 years ago was 1700. Today, only 800 of the fish are alive. Once the population drops below 100, the situation will be irreversible. When will this happen, according to the model? (Round to the nearest whole year.)A.29B.30C.32D.31E.None of the above Which of the following statements is a correct distinction between autotrophs and heterotrophs?a. Autotrophs, but not heterotrophs, can nourish themselves beginning with CO2 and other nutrients that are inorganic.b. Only heterotrophs require chemical compounds from the environment.c. Cellular respiration is unique to heterotrophs.d. Only heterotrophs have mitochondria. Mark has $16 to buy lunch for himself and his sister. He wants to buy at least one sandwich and one bag of chips. Sandwiches cost $6 and chips cost $1.50. Write inequalities to represent the constraints on the number of sandwiches and bag of chips Mark could buy. Can Mark buy 2 sandwiches and 2 bag of chips? Read and select the best answer to complete the dialogue. Cul es su nombre, seora? 1. ________ Sra. Smith. Encantado, seora. 2. ________, gracias. 1. Mucho gusto 2. Ms o menos 1. Muy bien 2. Encantada 1. El gusto es mo 2. Hola 1. Me llamo 2. Igualmente Consider the following code snippet in Java 6 or later: String[] data = { "abc", "def", "ghi", "jkl" }; String[] data2 = Arrays.copyOf(data, data.length - 1); What does the last element of data2 contain? The size of one copy of the human genome is approximately 3 billion base pairs, and it contains about 25,000 genes organized into 23 chromosomes. a. Human chromosomes vary in size. What would you predict is the size of the average chromosome? b. Assuming that genes are spread evenly among chromosomes, how many genes does an average human chromosome contain? c. About half of the DNA in chromosomes contains genes. How large (in base pairs) is an average human gene? With no dredging, Central Park's ponds and reservoir havebeen reincarnated as marshes. Without natural grazers -unless horses used by hansom cabs and by parkpolicemen managed to go feral and breed - Central Park'sgrass is gone. A maturing forest is in its place, radiatingdown former streets and invading empty foundations.Which best explains how the structure of this passage supports the author'spurpose?OA. The passage shows the effects of human activity on Central Parkto prove that laws protecting the environment are necessary forhuman survivalB. The passage describes how the absence of human activity willchange Central Park to show that nature will eventually destroywhat people have built.C. The passage compares the Central Park from before and fromduring a posthuman world to underscore that pollution levels willremain the same.D. The passage traces several events in the order that they will occurto highlight how people have harmed the environment in CentralPark What is the range of the given function?{(-2.0), (-4,-3), (2, -9), (0.5), (-5, 7)} Identify Who and What were investigated and the Population of interest. A study found that after a meal, a woman can tell whether a man is married or single by looking at his face. The study involved 40 undergraduate women who were asked to guess the marital status of 80 men based on photos of their face. Half of the men were married, and the other half were single. All held similar expressions in the photos. All the women had eaten the same meal at the time of the test. The result was that the closer a woman was to her last meal, the more accurate her guess. (A) The 40 married men (B) The 80 men whose faces were used in this study (C) The 40 undergraduate women (D) The 40 single men (E) The researchers in the study (F) The Who is not specified Find the volume of the rectangular prism A rocket sled for testing equipment under large accelerations starts at rest and accelerates according to the expression a = (3.6 m/s 3 )t + (5.6 m/s 2 ). How far does the sled move in the time interval t = 0 to t = 1.6 s ? Answer in units of m. In the soap testing experiment, what is the purpose of adding some MgCl2 to the soap solution at the end?