Function h models an object's height in feet after x seconds have passed. Which equation shows that the object's height increased by 100 feet over the first 15-second period?

A. h(15) 100

B. h(100) = 15

C. h(15) - h(0) = 100

[tex]d. \frac{h15 - h(0)}{15} = 100[/tex]

Answers

Answer 1

Answer:

C

Step-by-step explanation:

We know that function h represents an object's height in feet after x seconds.

In that case, option A) h(15) = 100 means that after 15 seconds, the object's height is 100 feet.

Option B) h(100) = 15 means that after 100 seconds, the object's height is 15 meters.

Therefore, neither A nor B are correct.

Option C) h(15) - h(0) = 100 means that between the zeroth and 15th second, their difference is 100 feet.

In other words, the object's height increased by 100 feet over the first 15-second period.

Option C is correct.

For Option D), it gives us the average rate of change. (h(15) - h(0)) / (15) = 100 means that for the first fifteen seconds, the height of the object increased at an average rate of 100 feet per second.


Related Questions


Please help find domain and range

Answers

Answer:  Choice ADomain:  x > 4Range: y > 0

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Explanation:

We want to avoid having a negative number under the square root. Solving [tex]x-4 \ge 0[/tex] leads to [tex]x \ge 4[/tex]

So it appears the domain could involve x = 4 itself; however, if we tried that x value, then we'd get a division by zero error.

So in reality, the domain is x > 4.

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The range of y = sqrt(x) is the set of positive real numbers. So y > 0 is the range for this equation. Shifting left and right does not affect the range, so the range of y = sqrt(x-4) is also y > 0.

We are dividing a positive number (3) over some positive number in the denominator. Overall, the expression [tex]\frac{3}{\sqrt{x-4}}[/tex] is positive because positive/positive = positive.

Therefore, the range of the given equation is y > 0

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

The graph is shown below. We have a vertical asymptote at x = 4 and a horizontal asymptote at y = 0. The green curve is fenced in the upper right corner (northeast corner).

A, because domain is all real numbers and range is In statistics, the range of a set of data is the difference between the largest and smallest values.

Help me please someone ( finals )

Answers

Step-by-step explanation:

the first one is ( vertical )..

the third one is 59.

Ken normally leaves work at 5:00 pm, but he is leaving 20 minutes late today. He decides to make up time by taking the toll road instead of side streets. He can travel three times faster by taking the toll road. Create an equation in terms of x to represent the number of minutes after 5:00 pm he arrives home from work if he leaves late. Let x represent the number of minutes his normal commute takes when he leaves on time.

y equals one third times x plus twenty
y = 3x + 20
y equals one third times x minus twenty
y = 3x − 20
NO LINKS

Answers

Answer:

y =1/3x+20

Step-by-step explanation:

He starts 20 minutes late so we need to add 20 minutes to the time

He travels 3 times faster so he takes 1/3 of the normal time x

y =1/3x+20

Answer:

A) y = 1/3x + 20

If 8 headphones cost a dollars, how
much would b headphones cost?
(what is the equation)

Answers

Answer:

0.125b

Since 1 headphone would be 1/8=0.125, 0.125 x b would be the equation

Pllssss helllppppp award 20 points

Answers

Answer:11

Step-by-step explanation:

The answer is 5 if I’m not mistaken

Which is the smallest of these
fractions', '/8, 1/4,?/s, '/2.

Answers

Answer:

1/8

Step-by-step explanation:

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Pls helpp pls pls pls

Answers

Answer: 16^2 + 12^2

Step-by-step explanation:

20^2 = 400

16 x 16 = 256

12 x 12 = 144

256 + 144 = 400

Does anyone know what is a passing grade in high school?

Answers

Answer:

yes. In highschool the passing grade is

80-89 (B) thats pretty much good.

70-79 (C) average

65-69 (D) passing

BELOW 65 (F) FAILING

Although A - is the highest grade you can receive on an assignment, and it's between 90% and 100% ... D - this is still a passing grade, and it's between 59% and 69% F - that pretty much a failing grade.

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2-11
Which function corresponds to the table?
A)
y = 3x - 2
B) is eliminated
C)
y = -2x + 3
D)
y = -3x + 2

Answers

Answer:

c

Step-by-step explanation:

0 is at 3 so its +3

the difference between y's is -2 and between x's is 1 so -2/1 is -2 as you slope

Solve the equation. Check your Solution.
-3 1/3 ÷ -1/2

Answers

Answer:

1.6 or 1.67

Step-by-step explanation:

is (0,3) a solution to y>2

Answers

Answer:

y>1

Step-by-step explanation:

simplifica las siguientes expresiones raíz de 50+ raiz de 18​

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt{50}+\sqrt{18}=\sqrt{2*5^2}+\sqrt{2*3^2}=5\sqrt{2}+3\sqrt{2}=8\sqrt{2}[/tex]

Solve: 9x - 3 = 729 x =

Answers

Answer:

Its 6 <3

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

can someone help me please! it's dude today in 30 minutes & i am having a hard time .

Answers

x = 109

Step-by-step explanation:

1. All of a triangles angles will add up to 180 degrees

2. Take 180 then subtract 48 from 180

3. Your new number is now 132. Take 132 then subtract 23.

4. Answer is 109

Answer:

x=109°

Step-by-step explanation:

In a triangle, all the angles have to add up to 180° and so add and then subtract to find x

48+23=71

180-71=109

so, x=109°

PLS HELP!! need the answer asap

Answers

Answer:

x = 8

Step-by-step explanation:

Since the lines are parallel:

the given angles are alternate exterior angles and alternate exterior angles has same measures

8x = 64 divide both sides by 8

x = 8

NO LINKS NO FILES!!!! Please.

Answers

Answer:

N

Step-by-step explanation:

the first 3 is the x value, or the horizontal line value, and the second 3 is the y value, or the vertical line value.

B. N is the right answer as it is located on 3, 3

PLEASEEEEE IM BEGGING SOMEONE I NEEED HELPPPPPPPPPPP PLEASEEEEEEEEE​

Answers

Answer:

6

Step-by-step explanation:

Graphically, this is a very easy question to cheat through.  I'll show the easiest way to solve.

First, add the four squares that make up the square in the center of the quadrilateral.  Now, notice that the two triangles left on the ends are exactly the same size.  So if you put them together, the cover up two more squares.  Which gives you 2 + 4 =6.

Or the mathematical way which is to find the area of the square as 2 * 2 = 4

and the area of one triangle as 1/2 * 2 * 1 = 1 ad the other triangle is the same.  So add all three 4 + 1 + 1 = 6

What is the square root of -1?

Answers

Answer: i

Step-by-step explanation:

It is imaginary, since if you try squaring numbers, ex: -1, 1,0,2 you always get a number bigger or equal to 0.

For years mathematicans argued weather the square root of -1 (or any negative number) should exist.

Then one day, a mathematician proposed a soulution, the square root of -1 could be i. Everyone liked that and so now the square root of -1 is i

At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.14 and the probability that the flight will be delayed is 0.16. The probability that it will not rain and the flight will leave on time is 0.79. What is the probability that it is not raining if the flight has been delayed?a. P(delayed | rain) = 0.08.
b. P(delayed | rain) = 0.083.
c. P(rain | delayed) = 0.06.
d. P(rain | delayed) = 0.056.

Answers

Answer:

The appropriate answer is "0.437".

Step-by-step explanation:

Given:

P(rain) = 0.14

then,

P(no-rain) = 1-P(rain)

                 = 1-0.14

                 = 0.86

P(delay) = 0.16

P(rain and on time) = 0.79

then,

By using the conditional probability, we get

⇒ [tex]P(A|B)=\frac{P(A \cap B)}{P(B)}[/tex]

or,

⇒ [tex]P(no \ rain|delay) = \frac{P(no \ rain \cap delay)}{P(delay)}[/tex]

By substituting the values, we get

⇒                             [tex]=\frac{0.07}{0.16}[/tex]

⇒                             [tex]=0.437[/tex]  

The income statement of Carla Vista Co for the month of July shows net income of 2300 based on service revenue 6500, salaries and wages expense 2500, supplies expense 1100, and utilities expense 600. In reviewing the statement, you discover the following
Insurance expired during July of 600 was omitted
Supplies expense includes 150 of supplies that are still on hand at July 31
Depreciation on equipment of 250 was omitted
Accrued but unpaid salaries and wages at July 31 of 300 were not included
Services performed but unrecorded totaled 600

Answers

Answer:

-500

Step-by-step explanation:

2300-6500-2500--1100--600-150-250-+600

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Answers

Answer:

True

Step-by-step explanation:

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Answers

Answer:

Adding, Substracting, multiplication and division. If you add the same number to both sides of an equation, both sides will remain equal.

Step-by-step explanation:

Which function is graphed on the right? y = 2x+3 – 2 y = 2x–3 + 2 y = 2x–2 + 3 y = 2x–2 – 3 On a coordinate plane, an exponential function approaches y = 3 in quadrant 2 and increases exponentially in quadrant 1.

Answers

Answer:

(B) Second Graph

Step-by-step explanation:

Edge 2021

Answer:

C on edge 2022

Step-by-step explanation:

y = 2^x–2 + 3

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Answers

Answer:

[tex]DF=15, DE=5\sqrt{3}[/tex]

Step-by-step explanation:

[tex]sin(60)=\frac{DF}{EF} =\frac{DF}{10\sqrt{3} }\\DF=10\sqrt{3} sin(60)=10\sqrt{3} \times \frac{\sqrt{3} }{2} =15\\cos(60)=\frac{DE}{EF} =\frac{DE}{10\sqrt{3} }\\DE=10\sqrt{3} cos(60)=10\sqrt{3} \times \frac{1 }{2} =5\sqrt{3}[/tex]

66 is what percentage of 400? pls answer

Answers

Answer:

16.5

Step-by-step explanation:

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66 is what percent of 400? = 16.5

Use the square roots property to solve equation (6x-7)/2+4=21

Answers

Answer:

[tex]22\frac{1}{6}[/tex]

Step-by-step explanation:

2+4=6

21X6=126

126+7=133

133/6= 22R1

Please help me!! I will try to give brainliest

Answers

3 and 7 : corresponding
2 and 7 : altern extern
4 and 5 : altern intern
3 and 6 : altern intern

WILL BE MARKED BRAINLY

Answers

Answer:

112+31=143

180-143=37

DF-->DE-->EF

Step-by-step explanation:

How could you put that is a mathematic form??

Answers

Where's the picture???? I'm confusedd

Graph a line with a slope of 3/4 that contains the point (2,-3)

Answers

Answer:

[tex]y=\frac{3}{4} x-\frac{9}{2}[/tex]

Step-by-step explanation:

Y=mx+c

Y=-3, X=2, m=3/4

(2)(3/4)=6/4=3/2

-3-3/2=-9/2

SO,

c=-9/2

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