In American football, the ball is punted by dropping and kicking it before it hits the ground. The height ht of the football above the ground in meters t seconds after being punted is affected by gravity and by the punter's kick, and can be represented as the difference of two functions: at=4.9t2, which specifies the effect of gravity on the height of the ball, and vt=13.7t+0.5, which specifies the effect of the punt on the ball. With these two functions, ht=vt-at, how high above the ground was the ball when it was punted?

Answer:

A

Step-by-step explanation:

I took the test

MARK AS BRAINLIST

Step-by-step explanation:

L = 6t+5

H = √t

A = L*H

= (6t+5) *√t = 6t√t + 5√t

A'(t) = 6t * 1/2*√t + √t * 6 + 5/2*√t

= 6t/2√t + 6√t + 5/2√t

Expression for the rate of change of the area with respect to time will be,

A' = [tex]9t^{\frac{1}{2}}+\frac{5}{2}t^{-\frac{1}{2}}[/tex] cm per second

It's given in the question,

      (6t + 5) cm

       [tex]\sqrt{t}[/tex] cm

Area of the rectangle is given by,

Area = Length × Height

A = (6t + 5)(√t)

A = [tex]6t^{\frac{3}{2}}+5t^\frac{1}{2}[/tex]

Now find the derivative of area (A) with respect to time (t).

[tex]\frac{dA}{dt}=\frac{d}{dt}(6t^{\frac{3}{2}}+5t^\frac{1}{2})[/tex]

A' = [tex](6\times \frac{3}{2})t^\frac{1}{2}+\frac{5}{2} t^{-\frac{1}{2}}[/tex]

A' = [tex]9t^{\frac{1}{2}}+\frac{5}{2}t^{-\frac{1}{2}}[/tex]

     Therefore, expression for the rate of change of the area will be,

A' = [tex]9t^{\frac{1}{2}}+\frac{5}{2}t^{-\frac{1}{2}}[/tex]

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Answer:

that answer is b

Step-by-step explanation:

hope this helps

The area of square ABCD would be; 64 unit sq.

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

D = √[(x-p)² + (y-q)²]    units.

Given that Square ABCD has vertices; A(-4.5, 4), B(3.5, 4),C(3.5, -4), and D(-4.5, -4).

To find the distance from two of the vertices of the square. The distance formula is as follows;

√[(x-p)² + (y-q)²]  

A(-4.5, 4), B(3.5, 4),

D = √[(x-p)² + (y-q)²]  

D = √(3.5-(-4.5))² +(4 -(4))²

D = √(3.5-(-4.5))² +(4 -(4))²

D = √(64 + 0)

D = 8

Therefore, the side of the square is 8 units.

The area of the square = side x side

= 8 x 8

= 64 unit sq.

Learn more about distance between two points here:

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Answer:

562

Step-by-step explanation:

Plug in the values of x, y, and z provided.

(5(5)-1)^2-2(7)

Solve.

(25-1)^2-14

(24)^2-14

576-14

562

Answer: 562

Step-by-step explanation:

(5x+y)^2-2z

first put in the known values. (5(5)+(-1))^2-2(7)

(25+-1)^2-14

Second, do 25+-1=24

(24)^2-14

Third, do 24 squared

576-14

Subtract

562

Answer: 2.5

Step-by-step explanation:

3 1.4 lbs also equals 3.25

3 x 0.75 = 2.25

2.25 + 25 = 2.5

Answer:

C. 45 + 7h = g

Step-by-step explanation:

This one would be correct because you have to add 7 points to the 45 points she would get on average without studying, without forgetting to multiply 7 by the number of hours that Isabella studied.

Example:

Let's say that Isabella studied for 3 hours. We could replace the h for the number of hours that she studied.

45 + 7(3) = g

Now you just have to solve the equation.

45 + 21 = g

Following the rules of PEMDAS, you would get rid of the parenthesis first by multiplying 7 times 3. Now you just have to add and you will have your answer for g.

g = 66

Answer:

Well 10 to the 6th power right?

Step-by-step explanation:

well u multiply 10x10x10x10x10x10

1000000

im sorry if this is not correct im sorry if its not 10 to the 6th power ;ccc

Answer:

okay well all i can explain is the image on the far left, the answer would be x=112 and then for the one on the far right (im not sure ) i think its 17

explanation: so a straight line had 180 degress and the outside angle is 126 meaning that if you do 180-126 you can find the amount of the inside angle on the bottom right. When you do this you get 54 degress. Then remember that a triangle has a total of 180 degrees all added up so the final angle inside the triagle is 80 minus the sum of the other two angles. 58+54=112 and 180-112=68. remember that 68 is the angle on the INSIDE and x is clearly on the outside meaning that you would need to do 180-68. your final answer would be 112. (and im really sorry i couldn't answer the other ones they're too blurry  :(

Answer:

The first one has a slope of 4

The second one has a slope of 0.3 repeating

Step-by-step explanation:

You pick two points on the graph.

You find the x and y coordinates of each point.

You find the difference between the two x coordinates.

You find the difference between the two y coordinates.

Divide the difference in the y coordinates by the x coordinates.

If im wrong sorry owo im only in elementary school... <3

Answer:

4/6

Step-by-step explanation:

Answer:

B).  $38,821

Step-by-step explanation:

By using several of the known mathematical formulas, and what is given to us at the very bottom (and top) of the answer, we can see that the correct answer is  

$38,821

on e2020

The total amount that Valerie will pay for her new car is $35,899.87.

We can use an online finance calculator to compute the total amount that Valerie will pay for her new car as follows:

Auto Price = $32,495

Loan Term = 60 months (12 x 5)

Interest Rate = 8.64%

Down Payment = $1,877

Trade-in Value = $28,433 ($32,495 x 87.5%)

Sales Tax = 8.23%

Title, Registration and Other Fees = $2,557 ($2,243 + $314)

Calculate

Monthly Pay: = $44.98

Total Loan Amount = $2,185.00

Sale Tax = $334.30

Upfront Payment = $4,768.30

Total of 60 Loan Payments = $2,698.57

Total Loan Interest = $513.57

Total Cost (price, interest, tax, fees) = $35,899.87

Thus, the total amount that Valerie will pay for her new car is $35,899.87.

Learn more about financing a car purchase at https://brainly.com/question/20566521

Answer:

5 because its a 3 so you cant round up so you round down.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

if you have to round anything under five you would round down to zero there for the the number after it would not change hope this helped

Answer: C (ED 2020)

Step-by-step explanation:

C, s + c = 2.75

c - s = 1.5

.60 mi/h

Step-by-step explanation:

Hey there!

Given;

Slope (m) = -3/5

And passes through the point(4,-4).

Now; The equation of a line in slope intercept form is y= mx+b.

So, try to bring it in y= mx+b form.

Firstly let's use one-point formula.

[tex](y - y1) = m(x - x1)[/tex]

Now, keep all values.

[tex](y + 4) = \frac{ - 3}{5} (x - 4)[/tex]

Now, simplify to get answer.

[tex]5(y + 4) = - 3(x - 4)[/tex]

[tex]5y + 20 = - 3x + 12[/tex]

[tex]5y = - 3x + 12 - 20[/tex]

[tex]5y = - 3x - 8[/tex]

[tex]y = \frac{ - 3}{5} x - \frac{8}{5} [/tex]

Therefore the equation is y = -3/5x - 8/5.

Hope it helps...

Answer:

the room square side is 4.8m

Area of the room is= 4.8=²23.04²m

perimeter of square tiles=4a =1.2

a=1.2/4

or a=o.3m

area of the square tiles =0.3²=0.09m²

numbers of the tiles are rcover floor of the room

23.0.4/0.09=256

each tiles cost Rs 27

the total cost=256*27=6912

the th coalst cover by the th floor is Rs .6912

Answer: Tiffany got 45 questions right! Hope this helped.

Step-by-step explanation:

Equations: 60x + 3000 = 3,000, 600 + 150y = 3000

X: 20

Y: 10

You should solve for x & y

Q1: 0, it's already filled up to the max of 3000 pounds.

Q2: 16, 60 times 10 is 600. 3000-600 = 2400. 2400/150 = 16

I hope this helped, ask if you need more help :)

Answer:

Positive discriminant = 2 real solution

x= -5,-40

Step-by-step explanation:

The discriminant is used to see how many solutions an equation has. If it is negative, the equation has no real solutions, if =0 the equation has 1, and if it is positive, the equation has two real solutions.

The discriminant is the part of the quadratic formula inside the square root:

[tex]b^{2}-4ac[/tex]

Every quadratic formula has the structure:

[tex]ax^{2} +bx+c=0[/tex]

So first, in order to meet this structure we need to add 200 to both sides so the equation is equal to 0. This gives us:

[tex]x^{2} +45x+200=0[/tex]

Our a=1, b=45 and c=200

Now we can substitute these values into the discriminant:

[tex](45)^{2} -4(1)(200)[/tex]

Solve:

[tex]2025-800=1225[/tex]

The discriminant is a positive number which means this equation will have 2 real solution. Now we just need to plug in our values into the quadratic formula to solve this equation. Quadratic formula:

[tex]x=\frac{-+/-\sqrt{b^{2}-4ac} }{2a} \\x=\frac{-45+/-\sqrt{1225} }{2}[/tex]

(Same discriminant value)

[tex]x=\frac{-45+/-35}{2}[/tex]

Now to find the two solutions, we use both signs in the equation. Solution 1:

[tex]x=\frac{-45+35}{2}[/tex]

[tex]x=\frac{-10}{2}=-5[/tex]

Our first solution is -5, now for the second:

[tex]x=\frac{-45-35}{2}\\\\ x=\frac{-80}{2}=-40[/tex]

The two solution to this equation are -5 and -40.

Hope this helped!

Answer:

13.

Step-by-step explanation:

65-52=13

Answer:

1. A

2. D

3. A

4. A

Step-by-step explanation:

Question 1:

Switch sides:

5(5 + 4v) > 105

Divide both sides by 5:

5(5 + 4v) / 5 > 105/5

Simplify:

5 + 4v > 21

Subtract 5 from both sides:

5 + 4v - 5 > 21 - 5

Simplify:

4v > 16

Divide both sides by 4:

4v/4 > 16/4

Simplify:

v>4

Question 2:

Expand:

5m - 3m - 6 < 24 - 3m

Add similar elements:

2m - 6 < 24 - 3m

Add 6 to both sides:

2m - 6 + 6 < 24 - 3m + 6

Simplify:

2m < -3m +30

Add 3m to both sides and simplify:

5m < 30

Divide both sides by 5:

5m/5 < 30/5

Simplify:

m<6

Question 3:

Expand:

18x + 12 ≤ -39 + x

Subtract 12 from both sides and simplify:

18x ≤ x - 51

Subtract x from both sides and simplify:

17x ≤ -51

Divide both sides by 17 and simplify:

x ≤ -3

Question 4:

Add similar elements:

-3m + 5m = 2m

Expand and simplify:

2m ≥ -12m

Add 12m to both sides and simplify:

14m ≥ 0

Divide both sides by 14 and simplify:

m ≥ 0

Answer:

see below

Step-by-step explanation:

y = -5x– 1

y = -5x + 7

Since they are both equal to y, we can set them equal to each other

-5x-1 = -5x+7

Add 5x to each side

-5x-1+5x= -5x+7+5x

-1 = 7

This is not true so there is no solution

The lines are parallel with different y intercepts

Answer:

x= 3, y= 8

or x= -1, y= 0

Step-by-step explanation:

y= 2x² -2x -4 -----(1)

y -2x= 2

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

Substitute (1) into (2):

2x² -2x -4= 2x +2

2x² -2x -4 -2x -2= 0 (bring all terms to the left)

2x² -4x -6= 0 (simplify)

x² -2x -3= 0 (÷2 on both sides)

(x -3)(x +1)= 0 (factorise)

x -3= 0 or x +1= 0

x= 3 or x= -1

Substitute into (2):

y= 2(3) +2 or y= 2(-1) +2

y= 6 +2 or y= -2 +2

y= 8 or y= 0

Answer:

Step-by-step explanation:

10 i

es esto

Answer:1.20/5

Step-by-step explanation:

Answer:

9/10 or in decimal form 0.9

Step-by-step explanation:

Answer:

line A is steeper.

Line A´s slope is 1, while line d´s slope is 2/5

Answer:

t≈ 8

Step-by-step explanation:

\text{Compounded Monthly:}

Compounded Monthly:

A=P\left(1+\frac{r}{n}\right)^{nt}

A=P(1+  

n

r

​  

)  

nt

Compound interest formula

A=109700\hspace{35px}P=97000\hspace{35px}r=0.016\hspace{35px}n=12

A=109700P=97000r=0.016n=12

Given values

109700=

109700=

\,\,97000\left(1+\frac{0.016}{12}\right)^{12t}

97000(1+  

12

0.016

​  

)  

12t

Plug in values

109700=

109700=

\,\,97000(1.0013333)^{12t}

97000(1.0013333)  

12t

Simplify

\frac{109700}{97000}=

97000

109700

​  

=

\,\,\frac{97000(1.0013333)^{12t}}{97000}

97000

97000(1.0013333)  

12t

​  

Divide by 97000

1.1309278=

1.1309278=

\,\,1.0013333^{12t}

1.0013333  

12t

\log\left(1.1309278\right)=

log(1.1309278)=

\,\,\log\left(1.0013333^{\color{blue}{12t}}\right)

log(1.0013333  

12t

)

Take the log of both sides

\log\left(1.1309278\right)=

log(1.1309278)=

\,\,\color{blue}{12t}\log\left(1.0013333\right)

12tlog(1.0013333)

Bring exponent to the front

\frac{\log\left(1.1309278\right)}{\log\left(1.0013333\right)}=

log(1.0013333)

log(1.1309278)

​  

=

\,\,\frac{12t\log\left(1.0013333\right)}{\log\left(1.0013333\right)}

log(1.0013333)

12tlog(1.0013333)

​  

Divide both sides by log(1.0013333)

92.3402971=

92.3402971=

\,\,12t

12t

Use calculator

\frac{92.3402971}{12}=

12

92.3402971

​  

=

\,\,\frac{12t}{12}

12

12t

​  

Divide by 12

7.6950248=

7.6950248=

\,\,t

t