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?

Answer:

61

Step-by-step explanation:

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

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.

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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).

Answer:

1° and 89°

Step-by-step explanation:

They add up to 90°

Hope this helps! :)

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°

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!

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].

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

Answer:

independent

Step-by-step explanation:

Answer:

Disjointed

disjointed events: events that have no outcomes in common

so that's why it is disjointed

Answer:

subtract 5 , m=(-15)

Step-by-step explanation:

15-5

=10

n:

5-10

=(-5)

m:

(-5)-10

=(-15)

hope it help

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.

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!

Answer:

712

Step-by-step explanation:

400+6.5%of 4800

312+400=712

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

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]

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]

Answer:

0.034522 (for decimal)

Step-by-step explanation:

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 :)

Answer:

Es ydjwj rjsbt djeiweke

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

Answer:

1.009, 1.09, 1.7, 1.7082

Step-by-step explanation:

hope this helped.

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

Answer:

500

Step-by-step explanation:

that is the procedure above

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)

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:

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

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

Answer:

V=786,240cm³

Step-by-step explanation:

Volume=Length × base × height

v= 52cm×42cm×360cm

Answer:

think that this might help you