A ball thrown in the air has a height of h(t)
- 16t^2 + 50+ + 3 feet after t seconds.
Part A: What is the average rate of change for h(t) between t=0 and t = 2?

A. 36 seconds per second
B. -36 feet per second
C.-18 Seconds per second
D. 18 feet per second

PART B.Is the average of the height of the ball increasing or decreasing.

Answers

Answer 1

Answer:

(D) 18ft per second

Step-by-step explanation:

the average of the height of the ball is increasing from t=0 to t=2.


Related Questions

Find the slope of a line perpendicular to y = -3/4x + 5. show your work.​

Answers

Answer:

4/3

Step-by-step explanation:

All you have to do is find the reciprocal of the slope and switch to the opposite sign.

-3/4

flip

-4/3

switch

4/3

Sorry if this doesn't really make much sense.  I don't know how else to explain this.

Graph the inequality x < -1

Answers

Answer and Step-by-step explanation:

It is in the picture.

Since x is less than -1, everything will be shaded to the left of the line that is made. The line would also be dotted since x is only less than and NOT less than or equal to.

#teamtrees #WAP (Water And Plant)

Use this table to answer questions below. Choose the correct answer.





According to the line graph, between 1950 and 1970 approximately which year had the lowest percentage of business failures?

Answers

Answer:

The answer is 1954

Step-by-step explanation:

Answer:

1954

Step-by-step explanation:

It is the lowest percentage of business failures. Refer to the scale on the left.

help please please please please ​

Answers

Answer:

sorry it's blurry I can't fix it

Can you give more information such as a question ?

which values are solutions to the inequality below? check all that apply √x < 5

A.) 1296
B.) 17
C.) 22
D.) 36
E.) -2
F.) 77

Answers

Answer:

B); C).

Step-by-step explanation:

1) if sqrt(x)<5, then x∈(0:25);

2) if x∈(0;25), then the values 17; 22 are correct

please answer this correctly without making mistakes

Multiply. Write your answer using the smallest numbers possible.

6 pints 1 cup times 1,156
= pints cups

Answers

Answer:

7514 pints

Step-by-step explanation:

If it is american pints/cups(one pint is two cups)

1. Multiply

6 x 2 = 12

2. Add

12 + 1 = 13

3. Multiply

13 x 1156 = 15028

4. Divide.

15028 divided by 2 = 7514

The graph shows a linear relationship. Find the slope.

The slope is ?

Answers

Answer:

-2/5

Step-by-step explanation:

(0,1)

(5,-1)

(-1 - 1)/(5 - 0)

-2/5

A bag contains 10 red marbles .15 yellow marbles, 5 Green marbles and 20 blue marbles. Five marbles are drawn from the bag. what is the approximate probability that exactly 2 of the five are blue?

Answers

Answer:

c

Step-by-step explanation:

11. Twyla and Tony have a 30/5 balloon mortgage for $389,900 with a rate of 4.85%. How much will they pay in interest over the life of the loan? (3 points)

O $81,373.41

$92,263.82

O $107,536.50

O $121,390.73

Answers

Answer:

Explanation:

Twyla and Tony with a balloon mortgage of 30/5 will make constant payments over the space of 5 years and then complete the bulk balloon payment for 25 years remaining.

Given mortgage loan value of $389900

Interest rate of 4.85%

We are asked to calculate the interest over the life of the loan.

We will calculate interest by calculating constant payments over the period of 5 years before balloon payment is due and adding them together then subtracting the mortgage loan given $389900

Formula for constant payments :

A= P×r×r(1+r)^n/(1+r)^n-1

Where A= constant/monthly payments

r= interest rate on the mortgage loan

n= number of payments = 30×12= 360

P= mortgage loan given

A= $389900×0.0485×0.0485(1+0.0485)^360/(1+0.0485)^360-1

=$389900×0.0485×1231340.79/25388468.94

=$389900×0.0485×0.04850

A= $917.142

Payment for five years(with interest)= $917.142×60= $55028.52

Calculate balloon payment:

FV= PV(1+r)^n - P((1+r)^n-1/r)

Where FV= future value of balloon payment

PV= initial loan given

r= interest rate on loan

n= number of payments

P= monthly payments

Substitute:

FV= $389900(1+0.0485/12)^60-917.142((1+0.0485/12)^60-1/0.0485/12)

=$389900×1.2738-917.142(0.2738/0.004041)

=$389900×1.2738-917.142×67.756

= 496654.62-62141.87

FV = $434512.75

Therefore total payment made with interest over the life of the loan= balloon payment+ constant payments for five years= $434512.75+$55028.52

=

Researchers interviewed street prostitutes in Canada and the United States. The mean age of the 100 Canadian prostitutes upon entering prostitution was 19 with a standard deviation of seven. The mean age of the 130 United States prostitutes upon entering prostitution was 21 with a standard deviation of eight. Is the mean age of entering prostitution in Canada lower than the mean age in the United States

Answers

Answer:

Step-by-step explanation:

The null and the alternative hypothesis can be computed as:

[tex]H_o: \mu_{c} \ge \mu_{us}[/tex]

[tex]H_a: \mu_{c} < \mu_{us}[/tex]

The t- student test statistics can be computed as:

[tex]t = \dfrac{ x_c - x_{us} }{\sqrt { \dfrac{\sigma_c^2}{n_c} + \dfrac{\sigma_{us} ^2}{n_{us}} } }[/tex]

[tex]t = \dfrac{ 19 - 21 }{\sqrt { \dfrac{7^2}{100} + \dfrac{8^2}{130} } }[/tex]

t = -2.017

degree of freedom = (n₁-1)+(n₂-1)

= (100-1) + (130-1)

= 228

At t = -2.017 and 228 df

P-value = -0.224

Decision rule: Not to reject the null hypothesis if the p-value is greater than ∝(0.01)

Conclusion: We reject the null hypothesis since the p-value is less than ∝.

Thus, there is sufficient evidence to conclude that the mean age of entering prostitution in Canada is lower than that of the United states.

There were 26 people at Charlotte and Oliver's birthday party. The total cost of the party was $1,429.74. How much did each person who attended the party cost?​

Answers

Answer:

$54.99/person

Step-by-step explanation:

Divide '26 persons' into the total cost $1,429.74:  we get $54.99/person.

You bought a two liter container of cooking oil for $2.50. What is the cost per liter?

Answers

Answer:

$1.25

Step-by-step explanation:

$2.50 / 2 = $1.25 per liter

Answer:

$1.25

Step-by-step explanation:

.25 + .25= .50

$1.00 + $1.00 = $2.00

$2.00 + .50 = $2.50

Zachary used the calculations shown to find how much he would spend on 16 ounces of pistachios.

6 ounces of pistachios cost $7.50

Answers

Zachary used the calculations shown to find how much he would spend on 16 ounces of pistachios. 6 ounces of pistachios cost $7.50 mc022-1. ... The final cost should have been $16.80

Given that WXYZ is a rectangle and ZY=2x + 3, and WX=x +4, then WX=

Answers

Answer:

Step-by-step explanation:

SOLUTION:

The opposite sides of a rectangle are parallel and congruent. So, ZY = WX.

2x + 3 = x + 4

x=1

Use the value of x to find WX. WX = 1 + 4 = 5.

If gas costs $5.09 per gallon, how many whole gallons of gas could you buy with $54.00?
(Make sure to answer with a whole number.)

Answers

Answer:

10 gallons!

Step-by-step explanation:

Please mark me brainliest!!

Answer:

10 gallons

Step-by-step explanation:

Similarity - Item 33751 Select the two figures that are similar to each other. help pls​

Answers

Answer:

Similar: First two shapes only

Step-by-step explanation:

Triangle Similarity Theorems

There are three triangle similarity theorems that specify under which conditions triangles are similar:

If two of the angles are congruent, the third angle is also congruent and the triangles are similar (AA theorem).

If the three sides are in the same proportion, the triangles are similar (SSS theorem).

If two sides are in the same proportion and the included angle is equal, the triangles are similar (SAS theorem).

The first pair of shapes are triangles that are both equilateral and therefore have all of its interior angles of 60°. The AAA theorem is valid and the triangles are similar.

The second pair of shapes are parallelograms. The lengths are in the proportion 6/4=1,5 and the widths are in proportion 3/2=1.5, thus the shapes are also similar.

The third pair of shapes are triangles whose interior acute angles are not congruent. These triangles are not similar

Can anyone help me plz

Answers

Answer:

11

Step-by-step explanation:

BRAINLIEST PLZ

f(2) = (3x2) + 5

= 6+5 = 11

Use the quadratic formula to find the solutions for
y = 3x^3 + 8x - 1

Answers

Answer:

Solving the equation using quadratic formula we get [tex]\mathbf{x=0.119\:or\:x=-2.785}[/tex]

Step-by-step explanation:

We need to use the quadratic formula to find the solutions for

[tex]y = 3x^2 + 8x - 1[/tex]

(Note: quadratic formula is used when x^2 is in the equation. So considering 3x^2 instead of 3x^3)

The quadratic formula is: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

From the given equation [tex]y = 3x^3 + 8x - 1[/tex] we have a =3, b=8 and c =-1

Putting values in the formula and finding solutions:

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-8\pm\sqrt{(8)^2-4(3)(-1)}}{2(3)}\\x=\frac{-8\pm\sqrt{64+12}}{6}\\x=\frac{-8\pm\sqrt{76}}{6}\\x=\frac{-8\pm8.71}{6}\\x=\frac{-8+8.71}{6}\:or\:x=\frac{-8-8.71}{6}\\x=0.119\:or\:x=-2.785[/tex]

So, Solving the equation using quadratic formula we get [tex]\mathbf{x=0.119\:or\:x=-2.785}[/tex]

Solve this simultaneous equations: picture below

Answers

Answer:

x = p/11, y = 13p/11

Step-by-step explanation:

The value of x is p/11

The value of y is 13p/11

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 - 9 is an equation.

We have,

5x + 3y = 4p _____(1)

y = 2x + p ____(2)

Substituting (2) in (1) we get,

5x + 3(2x + p) = 4p

5x + 6x + 3p = 4p

11x = p

x = p/11

Now,

y = 2x + p

y = 2(p/11) + p

y = 2p/11 + p

y = 13p/11

Thus,

x is p/11

y is 13p/11

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2

Select all the equations that represent this situation. Diego has run 2/3 of a race's

distance. He has run 8 & 1/2 kilometers. How long is the whole race?

8 & 1/2 divided by 2/3 = ?


2/3 divided by 8 & 1/2 = ?


2/3 x ? = 8 & 1/2


8 & 1/2 x ? = 2/3


8 & 1/2 times 3/2 = ?


8 & 1/2 x 2/3 = ?

Answers

Step-by-step explanation:

Diego has run  2/3 of a race's

Let total distance of the race = y

He has run 8 & 1/2 kilometers.

This means 2/3 of y = 8 & 1/2 km

How long is the whole race?

2 / 3  x  y  = 8 & 1/2

The following equations can be used to calculate the distance of the whole race;

8 & 1/2 divided by 2/3 = ?

2/3 x ? = 8 & 1/2

8 & 1/2 times 3/2 = ?

The car vacuum cleaner at a gas station near Gina’s house costs $0.25 a minute to operate. Gina has $3.25 to spend on vacuuming her car. What is the maximum number of minutes Gina can use the vacuum cleaner?

Answers

Answer:

13 min

Step-by-step explanation:

3.25/0.25=13

Answer:

Gina has 13 minutes to use the vacuum cleaner.

Step-by-step explanation:

3.25/.25= 13 minutes

What’s the surface area (Blank) square units

Answers

Answer:

570

Step-by-step explanation:

A division problem divides a 3-digit number by a 1 digit number. The quotient is 307 r3. What could the division problem be?

Answers

Answer:

There is no solution to this problem.

Step-by-step explanation:

The 1 digit number cannot be 1, since there would be no remainder.

The 1 digit number cannot be 2, since the remainder could be 0 or 1.

The 1 digit number cannot be 3, since the remainder could be 0, 1, or 2.

So, the 1 digit number must be greater than 3.  Let's start with 4.  Since the quotient is 307 (remainder 3), 4 x 307 is already more than 3 digits.

5.5 is what percent of 6.875?​

Answers

Answer:

80%

Step-by-step explanation:

YOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO PLEASE HELP

Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x^2-6x-7. If there is more than one x-intercept, separate them with commas.

Answers

Answer:

x = -1, 7

( x + 1 ) , ( x - 7 )

plz follow me

what are Latitude lines

Answers

Answer:

The latitude of a place is its distance north or south of the equator.

over a period of 3 hours, the outside temperature changed an average of -2.25 fahrenheit per hour. select the correct sentence that represents this situation.

the temperature decreased by 2.25 degrees fahrenheit from the beginning to the end of the 3-hour period.

the temperature increased by 0.75 degrees fahrenheit from the beginning to the end of the 3-hour period.

the temperature increased by 6.75 degrees fahrenheit from the beginning to the end of the 3-hour period.

the temperature decreased by 6.75 degrees fahrenheit from the beginning to the end of the 3-hour period.

Answers

Answer:

D

Step-by-step explanation:

-2.25 x 3 = 6.75

the temperature decreased by 6.75 after 3 hours

Answer:

The temperature decreased by 6.75 degrees Fahrenheit.

Step-by-step explanation:

This is answer choice D because the Start of Temperature is:

70F

Start Time: 9AM

(70,9) --> (67.75,10) --> (67.50,11) --> (67.25, 12)

HELPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

A. x= 3, y= -2

Step-by-step explanation:

[2] 2x= 4y+14

[1] 3y+5x=9

Solve equation [2] for the variable  x

 [2]    2x = 4y + 14

 [2]    x = 2y + 7

// Plug this in for variable  x  in equation [1]

  [1]    5•(2y+7) + 3y = 9

  [1]    13y = -26

// Solve equation [1] for the variable  y

  [1]    13y = - 26

  [1]    y = - 2

// By now we know this much :

   x = 2y+7

   y = -2

// Use the  y  value to solve for  x

   x = 2(-2)+7 = 3

good luck, I hope this helps!!!

Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use pi equals 3.14 in any formulas used

Answers

Answer:

Perimeter = 65.12 in

Area = 292.48 in^2

which agrees with the second answer choice

Step-by-step explanation:

The perimeter is going to be the addition of the sides of the rectangle external to the composite figure ( 12 + 16 + 12 = 40) PLUS the length of half of the circumference or radius 8 inches  (which is pi * radius = 3.14 * 8 = 25.12 in)

Then the total perimeter is:

Perimeter = 40 in + 25.12 in = 65.12 in

The are is going to be the area of the rectangle (12 * 16 = 192 square inches) PLUS the area of the semicircle of radius 8 in (pi *radius^2 /2 = 100.48 square inches).

Therefore the total area is:

Area = 192 + 100.48  = 292.48 in^2

4x+32=24
show your work

Answers

Answer:

x = -2

Step-by-step explanation:

Original equation:

4x + 32 = 24

Subtract 32 from 24

-8

The equation should look like this now:

4x = -8

Divide both sides by 4

x = -2

Hope this helps :)

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