Hello!
i need help with question 67 & 68

Hello! I Need Help With Question 67 & 68

Answers

Answer 1

Answer:

67. A

68. D

Step-by-step explanation:

I don't remember exactly the explanation, but I recommend you try to learn more about number lines sometime when you aren't under stress from schoolwork, because they're pretty simple questions to answer once you get a better understanding of them!


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Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded by
y
=
x
2
,
y
=
0
, and
x
=
9
,
about the
y
-axis.

V
=

Answers

Answer:

[tex]\displaystyle V = \frac{6561 \pi}{2}[/tex]

General Formulas and Concepts:

Algebra I

FunctionsFunction NotationGraphing

Calculus

Integrals

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Rule [Fundamental Theorem of Calculus 1]:                                     [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                       [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Shell Method:                                                                                                         [tex]\displaystyle V = 2\pi \int\limits^b_a {xf(x)} \, dx[/tex]

[Shell Method] 2πx is the circumference[Shell Method] 2πxf(x) is the surface area[Shell Method] 2πxf(x)dx is volume

Step-by-step explanation:

Step 1: Define

y = x²

y = 0

x = 9

Step 2: Identify

Find other information from graph.

See attachment.

Bounds of Integration: [0, 9]

Step 3: Find Volume

Substitute in variables [Shell Method]:                                                           [tex]\displaystyle V = 2\pi \int\limits^9_0 {x(x^2)} \, dx[/tex][Integrand] Multiply:                                                                                          [tex]\displaystyle V = 2\pi \int\limits^9_0 {x^3} \, dx[/tex][Integral] Integrate [Integration Rule - Reverse Power Rule]:                        [tex]\displaystyle V = 2\pi \bigg( \frac{x^4}{4} \bigg) \bigg| \limits^9_0[/tex]Evaluate [Integration Rule - FTC 1]:                                                                 [tex]\displaystyle V = 2\pi \bigg( \frac{6561}{4} \bigg)[/tex]Multiply:                                                                                                             [tex]\displaystyle V = \frac{6561 \pi}{2}[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Applications of Integration

Book: College Calculus 10e

On a map of a town, 3 cm represents 150 m. Two points in the town are 1 km apart. How far apart are the two points on the map?

Answers

Answer:

5000 km

Step-by-step explanation:

We are given that

3 cm represents on a map of  a town=150 m

Distance between two points=1 km

We have to find the distance between two points on the map.

3 cm represents on a map of  a town=150 m

1 cm represents on a map of  a town=150/3 m

1 km=1000 m

1 m=100 cm

[tex]1km=1000\times 100=100000 cm[/tex]

100000 cm  represents on a map of  a town

=[tex]\frac{150}{3}\times 100000[/tex] m

100000 cm  represents on a map of  a town=5000000 m

100000 cm  represents on a map of  a town

=[tex]\frac{5000000}{1000} km[/tex]

100000 cm  represents on a map of  a town=5000 km

Hence, two points are separated by 5000 km on the map.

Find the equation of the lines in problem 1 (0,0) slope =2.

Answers

Y= 2x as simple as that

Answer:

y = 2x

Step-by-step explanation:

Given that , the line passes through the point (0,0) and has a slope of 2. So here we can use the point slope form of the line as ,

[tex]\implies y- y_1 = m( x - x_1) \\\\\implies y - 0 = 2( x - 0 ) \\\\\implies y = 2(x) \\\\\implies \underline{\underline{y = 2x }}[/tex]

Help me pls I am bad at math

Answers

Answer:

D is the correct answer.

Step-by-step explanation:

You can get every y value by multiplying the x value by 3/2. This value never changes and there are no extra limitations.

If the probability that an event happens is 0.76, what will be the probability that the event will not happen?

Answers

Answer:

24% or 0.24

Step-by-step explanation:

100% or 1 minus 76% or 0.76. That makes 24% or 0.24.

To answer the question you should prob just put in 0.24.

Step 1: For each circle (A-G) in the table below, use the given information to determine the missing
information. Include supporting work showing and explaining how you found the missing information.
Circle
Center
Radius
Equation
A
(x - 9)2 + (y - 12)2 = 64
B
(-1,-17)
5
С
(-9,13)
9n
D
x2 + (0 - 1)2 = 36
E
x2 + y2 – 26x = -160
F
*2 + y2 + 22x +12y = -93
G
x2 + y2 – 10x+12y = -52

Answers

Answer:

I don't really understand the question

Step-by-step explanation:

c

evaluate the expreesion 41

Answers

Answer:

i'm pretty sure 41  is not an expression

Step-by-step explanation:

What is the value of y?

Answers

Answer:

y=0

Step-by-step explanation:

1. Make variable y as subject for the first equation, which is y= -2x +10

2. substitute the first eq to the second one

3. x - (-2x+10) -5=0

4. solve x, which x = 5

5. substitute in eq 1 which is y= -2x +10

6. solve the eq, the possible solution is y=0

is this right? PLEASE HELP ILL MARK

Answers

Answer:

yeah u r correct...

hope it helps ..stay safe healthy and happy.

Evaluate 19C1 PLEASE HELP

Answers

Answer:

[tex]{19}C_1=19[/tex]

Step-by-step explanation:

We need to find the value of [tex]{19}C_1[/tex].

C stands for combination.

The formula of combination is as follows :

[tex]nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

Here,

n = 19 and r = 1

So,

[tex]nC_r=\dfrac{19!}{1!(19-1)!}\\\\nC_r=\dfrac{19!}{1!\times 18!}\\\\nC_r=\dfrac{19\times 18!}{1!\times 18!}\\\\nC_r=19[/tex]

So, the value of [tex]{19}C_1[/tex] is 19.

Answer:

Your answer will be 19C1 =19

How would 0.42 be shown as a percent?
A. 0.42%
B. 4%
C. 4.2%
D. 42%

Answers

Answer:

42%

Step-by-step explanation:

to find percentages, you move the decimal point twice to the right

Create a new project called 02.03 Math Class Methods. Create a class called PyTheorem in the newly-created folder. Use the appropriate Math class methods to calculate the hypotenuse of two right triangles. The value of each side (sides a and b) should be randomly generated using Math.random(). The range should from 5 (inclusive) to 23 (exclusive). Print the value of each side of both triangles as well as the value of the hypotenuse for both triangles.

Answers

Answer:

The program in Java is as follows:

import java.util.*;

public class PyTheorem{

   public static void main(String [] args){

       Random rNum = new Random();

       int a = rNum.nextInt(17) + 5;

       int b = rNum.nextInt(17) + 5;

       System.out.println("a: "+a);

       System.out.println("b: "+b);

       double hyp = Math.sqrt(Math.pow(a,2)+Math.pow(b,2));

       System.out.print("Hypotenuse: "+hyp);

   }}

Step-by-step explanation:

This generates random number for a

       int a = rNum.nextInt(17) + 5;

This generates random number for b

       int b = rNum.nextInt(17) + 5;

Print a

       System.out.println("a: "+a);

Print b

       System.out.println("b: "+b);

Calculate the hypotenuse

       double hyp = Math.sqrt(Math.pow(a,2)+Math.pow(b,2));

Print the calculated hypotenuse

       System.out.print("Hypotenuse: "+hyp);

Assume that 300 births are randomly selected and 5 of the births are girls. Use subjective judgment to describe the number of girls as significantly​ high, significantly​ low, or neither significantly low nor significantly high.g

Answers

Answer:

Following are the response to the given choice.

Step-by-step explanation:

Please find the complete question in the attached file.

Subjective opinion = Question of opinion.

Therefore this requires only just opinion and we don't have to do any actual calculations.

Does this seem like a great number of girls, a little number of girls, or a decent number of girls to you but if 1,300 babies were born, 5 of whom were females?

This is a small number of beautiful gals, in my honest opinion. We anticipate boys and girls to be produced about the very same frequency, thus I expect some half of them to be females if there are 1 300 newborns. You should have roughly 650 girls if 50% of the infants are girls, but now we only have five. That appears to me to be considerably low. which is your own opinion.

Please help. I'm stuck on this problem

Answers

Answer:

Step-by-step explanation:

[tex]h(t)=-16t^2+96t\\\\h(t)=-t(16t-96)[/tex]

[tex]96=2^5*3\\\\16=2^4\\\\h(t)=-t(2^5*3*t-2^4)=-2^4t(2^1*3*t-1)\\\\h(t)=-16t(6t-1)[/tex]

the b) part is easy do it!

What are the domain and range of the function f(x) = 3^x + 5?
a. domain: (negative infinity, infinity); range: (0, infinity)
b. domain: (negative infinity, infinity); range: (5, infinity)
c. domain:(0, infinity); range: (negative infinity, infinity)
d. domain: (5, infinity); range: (negative infinity, infinity)
PLEASE RESPOND QUICKKK THANK YOUU

Answers

Answer:

b. domain: (negative infinity, infinity); range: (5, infinity)

Step-by-step explanation:

Answer:

B. Domain: (negative infinity, infinity);

   Range: (5, infinity)

If you pick a card at random from a well shuffled deck, what is the probability that you get an even card or a spade

Answers

Answer:

The probability that you get an even card or a spade is P = 0.596

Step-by-step explanation:

In a deck of 52 cards, all the cards have the exact same probability of being drawn.

So, the probability of drawing an even card of a spade, will be equal to the quotient between the number of even cards and spades, and the total number of cards (52).

First, let's found the number of even cards and spades.

There are 13 spades.

For each set, the even cards are:

{2. 4, 6, 8, 10}

(not counting the queen as a "12")

Then for each set, there are 6 even cards.

(there are four sets but we already counted the 6 even cards from the spade set, so we ignore that set)

Then there are 3 sets with 6 even cards each, there are:

3*6 = 18 even cards

So we have:

13 spades + 18 even cards = 31 cards that meet the condition.

The probability is then:

P = 31/52 = 0.596

The probability that you get an even card or a spade is P = 0.596

Please help me. A) vertical angle. B) complementary angle. C) supplementary angle. D) none of the above

Answers

(C)

Step-by-step explanation:

The sum of angles a and b is 180°, which make the two supplementary angles.

Type your answer
(1 out of 4)
What is the value of the function when x = 3 in the
piecewise function
g(x) =
3x when x > 1
- 2x when x < 1

Answers

Answer:

9

Step-by-step explanation:

What is the measure of L?
A. 390
B. 25°
C. Cannot be determined
D. 32°

Answers

Answer:

∠L = 25°

Step-by-step explanation:

Two sides are equal. so , it is an isosceles triangle.

Angles opposite to equal sides are equal.

∠L =  25

Use a linear approximation (or differentials) to estimate the given number. (Round your answer to five decimal places.) 3 217

Answers

Using a linear approximation, the estimated cube root of 217 is  6.00925.

Given that the number is,

The cube root of 217

Now, for the cube root of 217 using a linear approximation, use differentials.

So, the derivative of the function [tex]f(x) = x^{(1/3)[/tex] at a known point.

Taking the derivative of [tex]f(x) = x^{(1/3)[/tex], we get:

[tex]f'(x) = (\dfrac{1}{3} )x^{-2/3[/tex]

Now, we can choose a point near 217 to evaluate the linear approximation.

Let's use x = 216, which is a perfect cube.

Substituting x = 216 into the derivative, we get:

[tex]f'(216) = (\dfrac{1}{3} )(216)^{-2/3[/tex]

            [tex]= 0.00925[/tex]

Next, use the linear approximation formula:

Δy ≈ f'(a)Δx

Since our known point is a = 216 and we want to estimate the cube root of 217,

since 217 - 216 = 1

Hence, Δx = 1

Δy ≈ f'(216)

Δx ≈ 0.00925 × 1

      ≈ 0.00925

Finally, add this linear approximation to the known value at the known point to get our estimate:

Estimated cube root of 217 ;

f(216) + Δy = 6 + 0.00925

                 = 6.00925

Therefore, the estimated cube root of 217 is 6.00925.

To learn more about the linear approximation visit:

https://brainly.com/question/2272411

#SPJ4

what is the answer some one help me please so i can do this

Answers

Answer:

They can buy up to 240 drinks.

Step-by-step explanation:

Let x = number of drinks

The price of 1 drink is 75¢ = $0.75

The price of x drinks is 0.75x

The store gives a discount of $100.

The rice of x drinks is

0.75x - 100

The total price of the drinks must be less than or equal to $80.

0.75x - 100 ≤ 80

Add 100 to both sides.

0.75x ≤ 180

Divide both sides by 0.75

x ≤ 240

Answer: They can buy up to 240 drinks.

There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a red marble is
7/10th


There are 42 red marbles in the bag and each is equally likely to be chosen.
Work out how many marbles in total there must be.

Answers

Answer:

60 marbles in total

Step-by-step explanation:

Find how many marbles there are in total by dividing 42 by 0.7:

42/0.7

= 60

So, there are 60 marbles in total

Use the completing the square to solve x^2+6x=12.

Answers

Answer:

x= -3 ± [tex]\sqrt{21}[/tex]

Step-by-step explanation:

[tex]x^{2}[/tex]+6x=12

We add 9 [[tex](6/2)^{2}[/tex]] to both sides to complete the square as [tex]x^{2}[/tex]+6x+9 = [tex](x+3)^{2}[/tex].

[tex](x+3)^{2}[/tex]=21

Now we take the square root of both sides:

x+3=±[tex]\sqrt{21}[/tex]

x= -3 ± [tex]\sqrt{21}[/tex]

Answer:

x = -3 ± [tex]\sqrt{21}[/tex]

Step-by-step explanation:

[tex]x^2+6x=12[/tex]

[tex](\frac{b}{2} )^{2}[/tex] = 9

[tex]x^2+6x + 9 =12 + 9[/tex]

[tex](x+3)^{2} =21[/tex]

x + 3 = [tex]\sqrt{21}[/tex]

x = -3 ± [tex]\sqrt{21}[/tex]

What is the length of an arc with a central angle of 2/3pi radians and a radius of 24 centimeters?

Use 3.14 for pi.

Enter your answer, as a decimal, in the box.

Answers

9514 1404 393

Answer:

  50.24 cm

Step-by-step explanation:

Fill in the given numbers and do the arithmetic.

  s = rθ

  s = (24 cm)(2/3π) = (24 cm)(2/3)(3.14) = 50.24 cm

Find the measure of each angle whose degree measure is represented in terms of x in the given
triangle.


Please help :)

Answers

Answer:

Step-by-step explanation:

Answer:

That's barely readable!  Anyway the solution is:

7x + 7x +2 +5x +7 = 180 degrees

19x + 9 = 180 degrees

19x = 171 degrees

x = 9

So the angles are:

7x = 63 degrees

7x + 2 = 65

5x + 7 = 52

Double check:

Since ALL 3 triangle sides add up to 180:

63 + 65 + 52 = 180 degrees

Step-by-step explanation:

What is the solution set for |z+4|>15

Answers

Answer:

[tex]z + 4 = 15 \\ z + 4 - 4 = 15 \\ z = 15 - 4 \\ z = 11[/tex]

z>11

26.3 times 1.2 please do with explanation worth 15 points ​

Answers

Answer - It’s 31.56

Step-by-step explanation: You just do regular multiplication and then add  the decimal point

A canning factory turns out 568 tins of jam on a certain day. How many tins will be produced in 297 working days? ​

Answers

Answer:[tex]568 \: \times \: 297 \: = \: 168696.[/tex]188,696 tins be produced in 297 working days.

Don't forget to thanks Mark as brainlist.

How many different committees can be formed from 12 teachers and 43 students if the committee consists of 3 teachers and 4 ​students?
The committee of 7 members can be selected in BLANK
different ways.

Answers

Answer:

27150200

Step-by-step explanation:

Combination of 3 teachers out of 12:

12C3 = 12!/9!3! = 10*11*12/2*3 = 220

Combination of 4 students out of 43:

43C4 = 43!/39!4! = 40*41*42*43/2*3*4 = 123410

Total combinations:

220*123410 = 27150200

Help me please I need help 6

Answers

Answer:

69.6

Step-by-step explanation:

sin 55 = x / 85

0.8191520443 = x / 85

x = 69.6

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