The scores from Dr. Wilhelm's students science fair project are shown below .
Dr wilhelm made a histogram for the data.

answer choices :
50
65
70
71

plsss help I appreciate it thank you so much
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Answer:

f(x) = -3x

Step-by-step explanation:

f(x) = -3x

Answer:

b

Step-by-step explanation:

We want to get the graph for the given system of linear inequalities. The graph can be seen at the end of the answer.

First, we have the system:

y > (2/3)*x + 3

y ≤ -(1/3)*x + 2

Let's analyze each one individually.

In the first one, you can see that y is larger than the line, so we need to shade the region above the line, and the line must be a dashed line, meaning that the points on the line are not solutions.

In the second one, y is smaller than or equal to the line, so we need to shade the region below the line, and this time the line must be a solid line because the points on the line are solutions.

The graph of the system of inequalities can be seen below.

If you want to learn more about inequalities, you can read:

https://brainly.com/question/11234618

Answer:

b.

[tex]V = \pi \cdot \int\limits^a_b {\left([f(x)]^2 - [g(x)]^2} \right) \, dx[/tex]

(c)

[tex]V = \pi \cdot \int\limits^3_1 {\left([arcos(y - 2)]^2 - [arcsine(x)]^2 - (-1)^2} \right) \, dx[/tex]

Step-by-step explanation:

b. The volume of solid formed is given by the washers formula as follows;

[tex]V = \pi \cdot \int\limits^a_b {\left([f(x)]^2 - [g(x)]^2} \right) \, dx[/tex]

Therefore, we have, the integral expression whose solution is the volume formed by rotating 'R', about the equations y = 2 + cos(x) and y = csc(x) in the first quadrant on the interval, 0 ≤ x ≤ π, V is given as follows;

[tex]V = \pi \cdot \int\limits^\pi_0 {\left([2 + cox(x)]^2 - [csc(x)]^2} \right) \, dx[/tex]

(c)  We have;

x = arcos(y - 2), x = arcsin(1/y)

At x = 0, y = 2 + cos(0) = 3

csc(0) = ∞

At x = π, y = 2 + cos(π) = 2 + -1 = 1

csc(π) = ∞

Therefore, we get;

[tex]V = \pi \cdot \int\limits^3_1 {\left([arcos(y - 2)]^2 - [arcsine(x)]^2 - (-1)^2} \right) \, dx[/tex]

B) An equation that involves integral expressions whose solution is the volume of the solid generated when R is revolved around the x-axis is;

[tex]V = \pi \int\limits^\pi _0 ({[2 + cos(x)]^{2} - [csc(x)]^{2}}) \, dx[/tex]

C) An equation involving integral expressions whose solution is the volume of the solid generated when R is revolved around the line x= -1 is;

[tex]V = \pi \int\limits^\pi _0 ({[cos^{-1} (y - 2)]^{2} - [sin^{-1}(x)]^{2} - (-1)^{2} }) \, dx[/tex]

B) The volume of solid formed is gotten from applying the washers formula;

[tex]V = \pi \int\limits^a_b ({[f(x)]^{2} - [g(x)]^{2}}) \, dx[/tex]

This means that the integral expression whose solution is the volume formed by rotating R about the equations y = 2 + cos(x) and y = csc(x) in the first quadrant on the interval, 0 ≤ x ≤ π, V is expressed as;

[tex]V = \pi \int\limits^\pi _0 ({[2 + cos(x)]^{2} - [csc(x)]^{2}}) \, dx[/tex]

C) From answer above, we have;

x = cos⁻¹(y - 2), x = sin⁻¹(1/y)

Now,

At x = 0; y = 2 + cos(0) = 3

csc(0) = 1/0 = ∞

Also,

At x = π; y = 2 + cos(π)

y = 2 + (-1)

y = 1

Also, csc(π) = ∞

Thus, we have;

[tex]V = \pi \int\limits^\pi _0 ({[cos^{-1} (y - 2)]^{2} - [sin^{-1}(x)]^{2} - (-1)^{2} }) \, dx[/tex]

Read more about finding the integral volume of solid at; https://brainly.com/question/21036176

Answer:

Step-by-step explanation:

Straight line is an angle whose vertex point(O) has a value of 180. The arms (OA & OB) of the straight line angle lies opposite to each other from the vertex point

Sum of all the angles in a straight line  = 180

From this you can find the value of unknown angle, if other angles are given.

∠AOC + ∠BOC = 180

Answer:

Answer:

x + y =180 (degrees)

Answer:

(-2,4) radius = 2

Step-by-step explanation:

[tex](x-h)^{2} +(y-k)^{2} = r^{2}[/tex]

(h,k) point  r is the radius

Answer:

a) 17

b) 21st term

Step-by-step explanation:

a) 20 - 3 = 17

b) 20 - 21 = -1

Answer:

242

Step-by-step explanation:

Rule out anything above five from being the ones number as it wouldn't be possible to be doubled for the tens.

After that it is just trial and error putting 1,2,3,4 in the tens and following the word equation.

121 = doesn't equal 8

363= doesn't

484 = doesn't

thats leaves 242 which follows the pattern and equals 8

Answer:

AngleRST and AngleRSV

Step-by-step explanation:

You first draw the diagram with statement given

Answer:

a) RTS & RSV b) RST & TSU d) TSU & USV

Step-by-step explanation:

There is 5 total. Umbers and 3 of them are odd.

The probability of getting odd is the number of odd over total numbers:

Probability of odd = 3/5

Answer:

P ( odd) = 3 / 5

Step-by-step explanation:

Total number = 3 + 2 = 5

Odd number = 3

P ( odd )= 3 / 5

Answer:

c

Step-by-step explanation:

i did the test

Answer:

8r^4 - 16r^2

2Step-by-step explanation:

8r^2(r^2-2)

Multiply everything inside the brackets by the term outside of it.

8r^4 - 16r^2

Answer:

it would be 4

12-4×2=12-8=4

Step-by-step explanation:

hope it helps you

[tex]\longrightarrow{\green{ 4 }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

➺ [tex] \: 12 - {2}^{2} .2[/tex]

➺ [tex] \: 12 - (2 \times 2 \times 2)[/tex]

➺ [tex] \: 12 - 8[/tex]

➺ [tex] \: 4[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

76

Step-by-step explanation:

decagon = 10 sides

3 heptagons = 3 × 7 = 21 sides

3 nonagons = 3 * 9 = 27 sides

3 hexagons = 3 * 6 = 18 sides

10 + 21 + 27 + 18 = 76 sides in total

hope this helps please like and mark as brainliest

Answer:

A = [tex]\pi[/tex][tex]r^{2}[/tex]

45 = [tex]\pi[/tex][tex]r^{2}[/tex]

45/[tex]\pi[/tex] = [tex]r^{2}[/tex]

14.3 = [tex]r^{2}[/tex]

r = 3.8

Answer:

Step-by-step explanation:

a:0

B:1

C:-1

Answer:

[tex] F(4) = \frac {1}{256} [/tex]

Step-by-step explanation:

Given the following mathematical function;

[tex] F(x) = \frac {1}{4^{x}} [/tex]

When x = 1

[tex] F(1) = \frac {1}{4^{1}} [/tex]

[tex] F(1) = \frac {1}{4} [/tex]

When x = 2

[tex] F(2) = \frac {1}{4^{2}} [/tex]

[tex] F(2) = \frac {1}{4*4} [/tex]

[tex] F(2) = \frac {1}{16} [/tex]

When x = 3

[tex] F(3) = \frac {1}{4^{3}} [/tex]

[tex] F(3) = \frac {1}{4*4*4} [/tex]

[tex] F(3) = \frac {1}{4*4*4} [/tex]

When x = 4

[tex] F(4) = \frac {1}{4^{4}} [/tex]

[tex] F(4) = \frac {1}{4*4*4*4} [/tex]

[tex] F(4) = \frac {1}{256} [/tex]

When x = 5

[tex] F(5) = \frac {1}{4^{5}} [/tex]

[tex] F(5) = \frac {1}{4*4*4*4*4} [/tex]

[tex] F(5) = \frac {1}{1024} [/tex]

Answer:

DE is congruent to BE , ED is congruent is EB and the last one is midpoint.

Step-by-step explanation:

Answer:

Franklin sold 5x bars.

Step-by-step explanation:

Franklin Sells 5x bars. I assume the question is asking for an expression with the usage of X instead of an actual value or when that is attainable. If there's any more information that you can provide, let me know and I'll redo the problem.

Answer:

10,000 drops would be 1 fluid ounce

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

Take the final amount and subtract the original amount

120-80 = 40

Divide by the original amount

40/80 = .5

Multiply by 100

.5 *100 = 50%

Step-by-step explanation:

Profit=Selling Price- Cost Price

=$120-$80

=$40

Profit Percentage= Profit×100/Cost Price

= 40×100/80

=100/2= 50%

hope it helps

Answer:

X-7<15

X-7+7<15+7

X<22

Answer:

x < 22

Step-by-step explanation:

x - 7 < 15

Adding 7 to both sides.

=> (x - 7 ) + 7 < 15 + 7

=> x - 7 + 7 < 22

=> x < 15+ 7

=> x< 22

Answer:

y = -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

31 - 8(y + 5) = 7

Step 2: Solve for y

A = {2,3,5,7,9,10}

B = {2,10,12,13}

A-B = ?

Now,

A-B = {2,3,5,7,9,10} - {2,10,12,13}

= {3,5,7,9}

I hope you understand...

Mark me as brainliest...

Answer:

r=42 degrees

This is because of vertically opposite angles

s=68

This is because 180( angles in a triangle) minus ( 70 + 42) is equal to 68 degrees

Answer:

r = 42° , s = 68°

Step-by-step explanation:

r and 42° are vertical angles and are congruent , then

r = 42°

The sum of the 3 angles in a triangle = 180° , then

s = 180° - (70 + 42)° = 180° - 112° = 68°

Answer:

The derivative is

[tex]\frac{dy}{dx} = 2 - \frac{2\sqrt3}{\sqrt x}\\[/tex]

Step-by-step explanation:

The function is given by

[tex]y = 2x - 1 - \sqrt {3x}[/tex]

Differentiate with respect to x, we get

[tex]\frac{dy}{dx} = 2 - 0 - \frac{2\sqrt3}{\sqrt x}\\\\\frac{dy}{dx} = 2 - \frac{2\sqrt3}{\sqrt x}\\[/tex]

Answer: $4.88

Explanation: $20.00-$5.36= $14.64

$14.64÷3= $4.88

Answer: 0.99

Step-by-step explanation: sin 90 Divided by 85 = sin x divided by 13

                                                   sin x =13x sin 90 divided by 85

                                                        sin x = 13divided by 85

                                                            sin x = .152941176

                                                arc sine of  .152941176=  8.79741071 degrees

                                        cos 8.79741071 = .988235294

                                                            .99

Answer:

[tex]\theta = \frac{\pi}{6}[/tex]

Step-by-step explanation:

[tex]tan^ 2 \theta - ( \sqrt 3 + \frac{1}{\sqrt3}}) tan \theta + 1 = 0\\\\tan \theta - ( \sqrt 3 + \frac{1}{\sqrt3}}) +\frac{1}{ tan \theta } = 0\\\\[/tex]          [tex][ \ divide \ by \ tan \theta \ on \ both \ sides \ ][/tex]

[tex]tan\theta + \frac{1}{ tan \theta }- ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\\frac{tan^2 \theta + 1}{ tan \theta } - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\\frac{sec ^2 \theta}{ \frac{sin \theta }{cos \theta}} - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0[/tex]              [tex][ \tan ^ 2\theta + 1 = sec ^2 \theta \ , \ tan \theta = \frac{sin \theta }{cos \theta } \ ][/tex]

[tex]\frac{sec^2 \theta }{sin \theta \times sec \theta } - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\[/tex]                  [tex][\ \frac{sin \theta }{cos \theta } = sin \theta \times sec \theta \ ][/tex]

[tex]\frac{sec \theta }{sin \theta } - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\[/tex]

[tex]sec \theta \ cosec \theta - ( \sqrt 3 + \frac{1}{\sqrt3}}) = 0\\\\[/tex]              [tex][ \ \frac{1}{sin \theta } = cosec \theta \ , \ \frac{ sec \theta }{sin \theta } = sec \theta cosec \theta \ ][/tex]

[tex]sec \theta \ cosec \theta - \sqrt 3 - \frac{1}{\sqrt3}} = 0\\\\\frac{\sqrt 3\ sec \theta \ cosec \theta - 3 - 1}{\sqrt3} = 0\\\\\sqrt 3 sec \theta cosec \theta - 4 = 0\\\\[/tex]              

[tex]\sqrt3 \frac{1}{cos \theta } \frac{1}{sin \theta } - 4 = 0\\\\\frac{\sqrt3 - 4sin \theta cos \theta} { sin \theta cos \theta } = 0[/tex]                      

[tex]\sqrt 3 - 2sin 2\theta = 0[/tex]                                  [tex][ \ sin 2 \theta = 2 sin \theta cos \theta \ ][/tex]

[tex]2sin 2 \theta = \sqrt3\\\\sin 2 \theta = \frac{\sqrt3 }{2} \\\\2 \theta = sin^{-1} (\frac{\sqrt3}{2})\\\\2 \theta = 60^{ \circ} = \frac{ \pi}{3}\\\\\theta = \frac{\pi} {6}[/tex]

Answer:

You can use similar processes when converting from smaller to larger units. When converting a larger unit to a smaller one, you multiply; when you convert a smaller unit to a larger one, you divide.

Example look at the pic please 7,225 cm = ___ m

Meters are larger than centimeters, so you expect your answer to be less than 7,225.

Using the factor label method, write 7,225 cm as a fraction and use unit fractions to convert it to m.

Cancel similar units, multiply, and simplify.

7,225 centimeters = meters

Answer:

Sample Response: If you move from smaller to larger units, divide by a power of 10 or move the decimal to the left. If you move from larger to smaller units, multiply by a power of 10 or move the decimal to the right.