A ball thrown in the air has a height of y = - 16x² + 50x + 3 feet after x seconds. a) What are the units of measurement for the rate of change of y? b) Find the rate of change of y between x = 0 and x = 2?

Answers

Answer 1

Answer:

a)[tex]ms^{-1}[/tex]

b)[tex]71ms^{-1}[/tex]

Solution:

a)

we are finding the derivative from position to velocity thus

units = [tex]ms^{-1}[/tex]

b)

[tex]m=\frac{y(2)-y(0)}{2-0}=\frac{139+3}{2}=71ms^{-1}[/tex]


Related Questions

What is the measure of the sides of a square with an area of 49 inches

Someone please answer fast ❤️

Answers

Answer:

7 inches

Step-by-step explanation:

area of square=l^2

49=l^2

[tex]\sqrt{49[/tex]=l

7=l

therefore the sides of a triangle is 7 inches.

Answer:

7

Step-by-step explanation:

So to find this you know a square has 4 equal sides. The area is 49, and area is side length multiplied by side length. So what number multiplied by itself is 49? 7 x 7=49!

what is the area of the figure below?

Answers

Answer:

61

Step-by-step explanation:

Express in roster form. Set of B is the set of all elements x such that x is an element of natural numbers and x is a multiple of 8

Answers

Answer:

[tex]B = \{8, 16, 24, 32, 40, ...... \}[/tex]

Step-by-step explanation:

Given

[tex]x \to[/tex] element of natural number

[tex]x \to[/tex] multiple of 8

Required

Express in roster form

[tex]Natural[/tex] [tex]numbers[/tex] are 1, 2, 3, 4, 5, 6, ......

[tex]Natural[/tex] [tex]numbers[/tex]  that are multiples of 8 are 8, 16, 24, 32, 40, ......

So, the set in roster form is:

[tex]B = \{8, 16, 24, 32, 40, ...... \}[/tex]

please help i have no clue what i’m doing

Answers

Answer:

x = 24

x = 20

Step-by-step explanation:

x/3 - 2 = 6

Add 2 to both sides

x/3 = 8

multiply both sides by 3

x = 24

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

x/5 +1 = 5

Subtract 1 from both sides

x/5 = 4

multiply both sides by 5

x = 20

Answer:

1. add two both sides and then multiply by 3 each side to get to the answer of 24.

Check: 24/3 = 8 - 2 = 6

2. x/5 + 1 = 5

subtract 1 from each side and then multiply by 4 on each side to get to the result of 20.

check: 20/5 is 4 + 1 = 5

Brainlist please :)

Tanya has 130 ml of juice

Answers

Answer:

The answer is below

Step-by-step explanation:

A drink is made by adding water to juice.

Instructions

Add an amount of water that is between 3 times and 5 times the amount of juice

Tanya has 130 ml of juice.

If she follows the instructions, work out the minimum and maximum amounts

of the drink she can make.

Solution:

The minimum amount of water that can be added to the juice is 3 times the amount of the juice, hence:

Minimum amount of water = 3 * 130 ml of juice = 390 ml of water

Therefore minimum amount of drink = 390 ml of water + 130 ml of juice

minimum amount of drink = 520 ml

The maximum amount of water that can be added to the juice is 5 times the amount of the juice, hence:

Maximum amount of water = 5 * 130 ml of juice = 650 ml of water

Therefore maximum amount of drink = 650 ml of water + 130 ml of juice

Maximum amount of drink = 780 ml

Find csc 0, sin 0, and cot 0, where is the angle shown in the figure.
Give exact values, not decimal approximations.
PLZ HELP I BEEN STUCK FOR AN HOUR I WILL MARK BRAINLIEST!!!

Answers

Answers:

[tex]\csc(\theta) = \frac{7\sqrt{33}}{33}\\\\\sin(\theta) = \frac{\sqrt{33}}{7}\\\\\cot(\theta) = \frac{4\sqrt{33}}{33}\\\\[/tex]

=============================================

Explanation:

Before we can find the trig ratios, we need to determine the length of the missing side. Apply the pythagorean theorem

[tex]a^2+b^2 = c^2\\\\4^2+b^2 = 7^2\\\\16+b^2 = 49\\\\b^2 = 49-16\\\\b^2 = 33\\\\b = \sqrt{33}[/tex]

The vertical side is [tex]\sqrt{33}[/tex] units long.

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

The side we just found is the opposite side to angle [tex]\theta[/tex] (greek letter theta)

The hypotenuse is 7 units long. The hypotenuse is always opposite the right angle.

Divide the hypotenuse over opposite to get the cosecant.

[tex]\csc(\theta) = \frac{\text{hypotenuse}}{\text{opposite}}\\\\\csc(\theta) = \frac{7}{\sqrt{33}}\\\\\csc(\theta) = \frac{7\sqrt{33}}{\sqrt{33}*\sqrt{33}}\\\\\csc(\theta) = \frac{7\sqrt{33}}{\sqrt{33*33}}\\\\\csc(\theta) = \frac{7\sqrt{33}}{\sqrt{33^2}}\\\\\csc(\theta) = \frac{7\sqrt{33}}{33}\\\\[/tex]

Note: In the third step, I multiplied top and bottom by sqrt(33) to rationalize the denominator.

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

Recall that sine is the reciprocal of cosecant, and vice versa.

So we'll use the same idea as before, but flip the original fraction.

[tex]\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(\theta) = \frac{\sqrt{33}}{7}\\\\[/tex]

The denominator is already a rational number, so there's not much else to do here.

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

Cotangent is the ratio of adjacent over opposite

[tex]\cot(\theta) = \frac{\text{adjacent}}{\text{opposite}}\\\\\cot(\theta) = \frac{4}{\sqrt{33}}\\\\\cot(\theta) = \frac{4\sqrt{33}}{\sqrt{33}*\sqrt{33}}\\\\\cot(\theta) = \frac{4\sqrt{33}}{\sqrt{33*33}}\\\\\cot(\theta) = \frac{4\sqrt{33}}{\sqrt{33^2}}\\\\\cot(\theta) = \frac{4\sqrt{33}}{33}\\\\[/tex]

The steps are pretty much nearly identical as the section involving csc, except we're using the adjacent in place of the hypotenuse (so that means we use 4 in place of 7).

Help on this too Guys

Answers

Answer:

radius is 6 diameter is 2 don't know the other one tho

PLEASEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

1.009, 1.09, 1.7, 1.7082

Step-by-step explanation:

hope this helped.

The quantity of an element is decaying over time such that the amount of material at
any time is given by the function S(t) = 1000(0.9)3t. Write an equivalent function
of the form S(t) = abt.

Answers

Answer:

S(t) = 1000(0.729)^t

Step-by-step explanation:

S(t) = 1000(0.9)^(3t)

S(t) = 1000((.09)^(3))^t

S(t) = 1000(0.729)^t

Assume that AABC= APQR. Which of the following congruence statements
are correct? Check all that apply.
U
A. ACS PQ
B. ZREZC
C. BC = PQ
D. ZB=
U
E. BC = QR
O F. ZA= 20

Answers

Answer:

Options B, D, E

Step-by-step explanation:

If triangle ABC and triangle PQR are congruent,

∠A ≅ ∠P

∠B ≅ ∠Q

∠C ≅ ∠R

AB ≅ PQ

BC ≅ QR

AC ≅ PR

Therefore, Options B, D, E are the correct options.

Evaluate 10% of 5000

Answers

Answer:

500

Step-by-step explanation:

that is the procedure above

500 I hope this helps you 10% of 5000= 500

Green Red Blue Yellow

Event A: lands on yellow.
Event B: lands on green.
Events A and B are_______ events.​

Answers

Answer:

independent

Step-by-step explanation:

Answer:

Disjointed

disjointed events: events that have no outcomes in common

so that's why it is disjointed

What is the value of f(1)?
A. 0
B. 1
C. 2
D. 4

Answers

Answer:

The value of f(1) is A. 0

Step-by-step explanation:

In this question, when they ask what is the value of f(1), they want you to tell them what is the "y" coordinate of the point with the "x" coordinate equal to 1. In our case, the point with the "x" coordinate equal to 1 has the "y" coordinate equal to 0. Therefore, the value of f(1) is A. 0

What is the value of f(1)
The answer is A. 0

Calculate the volume of this planter box in cubic centimeters.


If there are four of these planter boxes, would they fit in a 1 square meter area near the back

door? Show calculations to explain your answer.


(Pictures Attached)

Answers

Answer:

V=786,240cm³

Step-by-step explanation:

Volume=Length × base × height

v= 52cm×42cm×360cm

Which two angles below are complementary?

Answers

Answer:

1° and 89°

Step-by-step explanation:

They add up to 90°

Hope this helps! :)

Divide. (ASAP PLEASE)
[tex]30 )869[/tex]

Enter the number that belongs in the green box.

Answers

Answer:

0.034522 (for decimal)

Step-by-step explanation:

n3=8/125 for n n= ???

Answers

Answer:

2/25

Step-by-step explanation:

[tex]n^3 = \frac{8}{125}[/tex]

[tex]n^3 = (\frac{2}{5})^3[/tex]

[tex]n = \sqrt[3]{n^3} = \sqrt[3]{(\frac{2}{25})^3}[/tex]

[tex]n = \sqrt[3]{(\frac{2}{25})^3}[/tex]

[tex]n = \frac{2}{25}[/tex]



Bryon is solving the equation 22 - 6x = 15. He gets to 7 = 62. Is this a valid way to solve the equation?

Answers

Answer:

No

Step-by-step explanation:

22 - 6x = 15

subtract 22 from both sides

-6x = -7

divide both sides by -6

x = 7/6 or 1 1/6

Each year the Mannel Department Store has a big end-of-summer
sale. At the sale, they give customers an additional 25% off on all
marked-down merchandise.

a. A beach towel had an original price of $22.00. It was marked
down 10%. What is the final price after the additional
25% discount?

b. A patio table and four chairs originally cost $350.00. They were
marked down 50%. What is the final cost of the table and chairs
with the additional discount?

Answers

Answer:

Es ydjwj rjsbt djeiweke

please help me I will mark as a brainliest ​

Answers

Answer:

think that this might help you

if 5x-26=x+50, then what is the value of x

Answers

Answer:

x = 19

Step-by-step explanation:

5x - 26 = x + 50

Subtract x on both sides of the equation.

4x - 26 = 50

Add 26 on both sides.

4x = 76

Now, divide by 4 on both sides.

x = 19

Answer:

x = 19

Step-by-step explanation:

5x-26=x+50

5x = 76 +x

4x = 76

x = 19

Answer plzzzzz and No links

Answers

Answer:

384 in^2

Step-by-step explanation:

Surface Area (or SA for short) formula:

SA=2lw+2lh+2hw

(l=length, w= width, h= height)

9*12=108*2=216

9*4=36*2=72

12*4=48*2=96

216+72+96=384

Answer:384 in^2

Hope this helps!

draw the graph of the equation 3x-4y=12 from the graph find the value of y when x= 8​

Answers

Answer:

y = 3

Step-by-step explanation:

3x - 4y = 12

3(8) - 4y = 12

24 - 4y = 12

- 4y + 24 = 12

- 4y + 24 - 24 = 12 - 24

- 4y = - 12

- 4y ÷ - 4 = - 12 ÷ - 4

y = 3

Slope: [tex]\frac{3}{4}[/tex]

y - intercept: (0, - 3)

Hi can someone please help me with this thanks

Answers

Answer: 18

Does this help??

5
8
y
Find the exact value of y.
y =

Answers

Answer:

[tex]y=2\sqrt{10}[/tex]

Step-by-step explanation:

By applying geometric mean theorem in the given right angle,

[tex]\frac{AD}{DB}=\frac{DB}{CD}[/tex]

By substituting values in the given ratio,

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

[tex]y^2=8\times 5[/tex]

[tex]y^2=40[/tex]

[tex]y=2\sqrt{10}[/tex]

Exact value of y is [tex]2\sqrt{10}[/tex].

Please give real answers with an explaination. 50 points + 5-star rated. No Docs/No Files/No Links only answer with explaination.

Answers

Answer:

x = 135°

Step-by-step explanation:

4 sides and the diagonal are the same.

Therefore, it is square with each interior angle = 90°

The diagonal bisects the interior angle to 45° , 45°

x + 45° = 180°                [ straight line angle ]

x = 180 - 45 = 135°

Which expression is equivalent to 44+100 as the product of GCF and sum?

A.5(8+20)
B.4(40+96)
C.2(22+50)
D.4(11+25)

*explain how you got the answer!*

Answers

Answer:

C.

Step-by-step explanation:

First you solve the bracket...

(22+50)= 72

72×2=144

Answer:

the answer is D because it has to greatest factor

A (5(8+20)=40+100

B (4(40+96)=160+384

C (2(22+50)=44+100

D (4(11+25)=44+100

Arianna earns a weekly salary of $400 plus a 6.5% commission on sales at a gift shop. How much would she make in a workweek if she sold $4800 worth of merchandise?

Answers

Answer:

712

Step-by-step explanation:

400+6.5%of 4800

312+400=712

what is the correct measure of m? 15, 5, n, m

Answers

Answer:

subtract 5 , m=(-15)

Step-by-step explanation:

15-5

=10

n:

5-10

=(-5)

m:

(-5)-10

=(-15)

hope it help

Algorithm to accept the height of a building in metres and convert it into centimetres.Also draw the flowchart

Answers

Answer:

1200cm

Step-by-step explanation:

Given data

We know that 1meter is equivalent to 100cm

i,.e 1*100

so, if height is 1.2meters

Height in centimeters is 1.2*100

Hence height in centimeters is 1200cm

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