Please Help NO LINKS

Answers

Answer 1

[tex]V = 864\pi[/tex]

Step-by-step explanation:

Since one of the boundaries is y = 0, we need to find the roots of the function [tex]f(x)=-2x^2+6x+36[/tex]. Using the quadratic equation, we get

[tex]x = \dfrac{-6 \pm \sqrt{36 - (4)(-2)(36)}}{-4}= -3,\:6[/tex]

But since the region is also bounded by [tex]x = 0[/tex], that means that our limits of integration are from [tex]x=0[/tex] (instead of -3) to [tex]x=6[/tex].

Now let's find the volume using the cylindrical shells method. The volume of rotation of the region is given by

[tex]\displaystyle V = \int f(x)2\pi xdx[/tex]

[tex]\:\:\:\:\:\:\:= \displaystyle \int_0^6 (-2x^2+6x+36)(2 \pi x)dx[/tex]

[tex]\:\:\:\:\:\:\:= \displaystyle 2\pi \int_0^6 (-2x^3+6x^2+36x)dx[/tex]

[tex]\:\:\:\:\:\:\:= \displaystyle 2\pi \left(-\frac{1}{2}x^4+2x^3+18x^2 \right)_0^6[/tex]

[tex]\:\:\:\:\:\:\:= 864\pi [/tex]

Related Questions

Five more than twice a number is three. Write that in equation

Answers

Step-by-step explanation:

Hi there!

According to the question;

Five more than twice a number is three.

Then let the number be "x".

Since X is the number according to the condition of question;

The number is twice : 2x

It's then more 5 : 2x+5

And the result is : 3,

Combining all; we get,

2x+5 = 3

Therefore, the required equation is 2x+5 = 3.

Hope it helps!

PLEASE HELP ME WITH EMPIRICAL RULE!! ASAP!

Answers

Answer:

hahahahahahahahahahhahahahahhahahahahhahagagagaggagagagahhahahahahha

how would I solve this and what is the answer.

Answers

Answer:

b is -6 or -10

Step-by-step explanation:

[tex] \frac{1}{b} = \frac{1}{b - 12} + \frac{ {b}^{2} + 16b + 48}{ {b}^{2} - 12b} \\ \\ \frac{1}{b} = \frac{b + ( {b}^{2} + 16b + 48)}{b(b - 12)} \\ \\ b - 12= b + ( {b}^{2} + 16b + 48) \\ {b}^{2} + 16b + 60= 0 \\ (b + 6)(b + 10) = 0 \\ b = - 6 \\ and \\ b = - 10[/tex]

find the scale factor and ratio of perimeters for a pair of similar octagons with areas 49 ft^2 and 64 ft^2

Answers

Answer:

scale factor: 1.16

perimeters: 21.84 ft and 25.36 ft

Solve for x, Correct to one decimal place where 0°<x<90°

Sin2x=0,291

Answers

Answer:

Step-by-step explanation:

Sin2x=0,291

Sin2x = 2Sinx * Cosx

A lady wearing a McDonalds t-shirt with a delicious-looking Big Mac on it asks which fast food restaurant is your favourite. This leads to which type of bias?

a) Response Bias

b) Sampling Bias

c) Measurement Bias

d) Non-response Bias

Answers

The correct answer is a Response Bias

what is the answer to EVAULATE 8+-9+-6

Answers

Answer:

Step-by-step explanation:

8 + 9 + -6

8 + 9 = 17

17 + (-6) = 11

Answered by Gauthmath

i provided the question

Answers

Answer:

(0, 3)

Step-by-step explanation:

y = 3 is the horizontal tangent to y = x^2+3, and passes the parobala at (0, 3)

Solve for X

Answer choices
4
5
8
3
2

Answers

Both are supplementary angles so their sum will be 180°

[tex]\\ \sf\longmapsto -2x+54=142[/tex]

[tex]\\ \sf\longmapsto -2x=142-54[/tex]

[tex]\\ \sf\longmapsto -2x=88[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-88}{2}[/tex]

[tex]\\ \sf\longmapsto x=-44[/tex]

Answer:

Answer:THE ANSWER IS 8 I HOPE IT WILL HELP YOU A LOT.

A=(1)/(2)h(b_(1)+b_(2)) solve for h

Answers

Answer:

[tex]A = \frac{1}{2}h(b_1+b_2)\\2A = h(b_1+b_2)\\h = \frac{2A}{b_1+b_2}[/tex]

Heather has $20 in her purse she earn some money at work and add it to the money in her purse at the end of the day she has $95 in her purse use M as a variable

Answers

Answer:

M=$75

Step-by-step explanation:

I used M for money that Heather earned.

$20+M=$95

Write an equation in slope-intercept form for the line with slope -3/2
and y-intercept 5.

Answers

Answer: y = -3/2x + 5

Step-by-step explanation:

Slope-intercept form: y = mx + b

m = slope = -3/2b = y-intercept = 5

y = -3/2x + 5

Answer:

y = -3/2x + 5 totally

Step-by-step explanation:

What is the common ratio for this geometric sequence?
27, 9, 3, 1, ...

Answers

Answer:

1/3

Step-by-step explanation:

common ratio is

9÷27=1/3

3÷9=1/3

1÷3=1/3

therefore common ratio is 1/3

Answer: 1/3

Step-by-step explanation:

Let us confirm that this is a geometric sequence. 9/27 = 1/3 and 3/9 = 1/3. Thus, the common ratio is 1/3.

Carol is having a hard time understanding the central limit theorem, so she decides to do her own experiment using the class data survey collected at the beginning of class on the number of hours a student takes during her Spring 2019 BUSI 2305 course. The data file has a total number of 54 students where the average is 10.8 with a standard deviation of 3.15. She sets out to collect the mean on 8 samples of 6 students. Based on this what are the total possible samples that could occur based on the population

Answers

Answer:

25827165

Step-by-step explanation:

from the question that we have here

the total population = 54 students

the sample size = 6 students

So given this information carol has to pick the total samples from the 54 students that we have here

the total ways that she has to do this

= 54 combination 6

= 54C6

= [tex]\frac{54!}{(54-6)!6!}[/tex]

= 25827165

this is the total number of possible samples that could occur given the total population of 54 students.

Rewrite the following expressions using the distributive property.
1. 5(3x - 2)
2. 2x(6x + 5)
3.
2x
(9x + 6)
3
2

Answers

Answer:

1. 5(3x - 2) = 15x - 10
2. 2x(6x + 5) = 12x + 10
3. 2x/3(9x + 6) = 6x^2 + 4x

The scale on a map is
1:25 000
(a) On a map, a distance
measures 5cm. What is this
in real life? Give your
answer in kilometres.
(b) In real life a distance is
2.2km. What would this be in
the map in centimetres?

Answers

Answer:

Step-by-step explanation:

a) 5 cm(25000)(1 m/100 cm)(1 km/1000 m) = 1.25 km

b) 2.2 km (1000 m/km)(100 cm/m) / 25000 = 8.8 cm

The equation ^2 −4+^2 +2=−4
a. Is a parabola
b. Is an ellipse
c. Is a hyperbola
d. Is a circle
e. None of the above

Answers

Answer:

Step-by-step explanation:

None. Your notation is unclear.

the number of times n a ball bounces
Choose the correct answer below.
O rational numbers
O integers
o irrational numbers
O natural numbers

Answers

The number of times n a ball bounces is a natural number

How to determine the category of the statement?

The mathematical statement is given as:

The number of times n a ball bounces

A ball cannot bounce in decimal times or negative times

Also, it can not bounce in 0 times

This means that the number of bounce is a positive integer

A positive integer is also a natural number

Hence, the number of times n a ball bounces is a natural number

Answers

Please rewrite the question or add a picture for it

Answer:

Step-by-step explanation:

took the test so i assume its this question

Can someone check my answers if they are correct or incorrect? If it is incorrect, please let me know why it is incorrect please.

Answers

your answer is correct :)

Find the function G defined by G(x) =5x+3 find G(-1)

Answers

Answer:

G(-1) = -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Functions

Function Notation

Step-by-step explanation:

Step 1: Define

Identify

G(x) = 5x + 3

Step 2: Evaluate

Substitute in x [Function G(x)]: G(-1) = 5(-1) + 3Multiply: G(-1) = -5 + 3Add: G(-1) = -2

Answer:

G = -2

Step-by-step explanation:

Plug in -1 for x.

5(-1) + 3

-5 + 3

-2

G = -2

what is the hcf of 40,50???

Answers

Answer:

Step-by-step explanation:

HELP NEEDED PLEASE!!!!!

Answers

Answer:

1^1 + 0^1 =1

Step-by-step explanation:

sin^2 theta + cos^2 theta = 1

sin^2 (pi/2) + cos^2 (pi/2) =1

1^1 + 0^1 =1

If (x+2) is a Factor x^3 + 2x^2 + 2x + k then find the value of K.

Answers

Answer:

Step-by-step explanation:

if x+2 is a factor of the above expression then,

x=-2

so putting the value of x in above expression we get,

(-2)^3+2×(-2)^2+2×(-2)+k=0

or,-8+8-4+k=0

k=4

Answer:

Step-by-step explanation:

If (x + 2) is a factor of a polynomial then ( - 2 ) is the zero of that polynomial ⇒ ( - 2 )³ + 2( - 2 )² + 2( - 2 ) + k = 0 ⇒ k = - 4

PLEASE HELP THIS IS DUE ASAP!!!!!!!!!!!!!!

Answers

the answer is 1/12

the first rolling a 4 has a 1/6 chance of happening and half of the numbers on the die are odd, so 1/6*1/2=1/12

A patient is supposed to have 800 mL every 24 hours. You kmow that the patiemt has three fourths of the fluid between breakfast 8am and dinmer 6pm. How much should be injested between 8am and 6pm?

Answers

Answer: 600 ml

Step-by-step explanation:

The patient has 3/4 out of 800 milliliters of fluid. To find how much they take in, multiply 3/4 * 800.

3/4 *800= 2400/4

simplify 2400/4

= 600

using sets what is the intersection of a=(-2-1,0,1,7) I=(-2,-1,1,2,8)

Answers

The answer is (-2,-1,1)

look at the image question

Answers

Answer:

288 km²

Step-by-step explanation:

Surface area,

(10×10)+(9.4×10×2)

= 100+188

= 288 km²

Which matrix equation represents the system of equations?

Answers

Answer:

B. [tex]\left[\begin{array}{ccc}-1&2\\0&1\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] =\left[\begin{array}{ccc}0\\-2\\\end{array}\right][/tex]

Step-by-step explanation:

Given the systems of equations

-x + 2y = 0

y = -2

This can also be written as:

-x + 2y = 0

0x + y = -2

We are to write in this form AX = b

A is a 2by2 matrix with coefficients of x nd y

X is a column matrix containing the unknown

b is a column matrix with the values at the right hand sides (0 and -2)

Writing in matrix form;

[tex]\left[\begin{array}{ccc}-1&2\\0&1\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] =\left[\begin{array}{ccc}0\\-2\\\end{array}\right][/tex]

Find the length of x

Answers

Answer:

Step-by-step explanation:

Let's assume that the triangles are similar.

[tex]\frac{16}{12} = \frac{24}{18} = \frac{x}{24}[/tex]

[tex]\frac{x}{24} = \frac{4}{3} => x = \frac{24}{3} * 4= 8 * 4 = 32[/tex]

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