Find the volume of the cylinder in terms of pie.

Answer:

[tex]\large\boxed{\int\left(1+\dfrac{4}{3x-1}+\dfrac{3}{x+2}\right)\ dx=x+\dfrac{4}{3}\ln(3x-1)+3\ln(x+2)}[/tex]

Step-by-step explanation:

[tex]\large{\int}\normal\left(1+\dfrac{4}{3x-1}+\dfrac{3}{x+2}\right)\ dx=\int1\ dx+\int\dfrac{4}{3x-1}\ dx+\int\dfrac{3}{x+2}\ dx\\\\(1)\int1\ dx=x\\\\(2)\int\dfrac{4}{3x-1}\ dx\Rightarrow\left|\begin{array}{ccc}3x-1=t\\3dx=dt\\dx=\frac{1}{3}dt\end{array}\right|\Rightarrow\int\dfrac{4}{3t}\ dt=\dfrac{4}{3}\int\dfrac{1}{t}\ dt=\dfrac{4}{3}\ln(t)=\dfrac{4}{3}\ln(3x-1)\\\\(3)\int\dfrac{3}{x+2}\ dx\Rightarrow\left|\begin{array}{ccc}x+2=u\\dx=du\end{array}\right|\Rightarrow\int\dfrac{3}{t}\ dt=3\int\dfrac{1}{t}\ dt=3\ln(t)=3\ln(x+2)[/tex]

[tex]\Downarrow\\\\\int\left(1+\dfrac{4}{3x-1}+\dfrac{3}{x+2}\right)\ dx=x+\dfrac{4}{3}\ln(3x-1)+3\ln(x+2)[/tex]

Answer:

Step-by-step explanation:

y = 2*3^x

x = 1

y = ?

y = 2*3^1

y =2 * 3

y = 6

The answer is the first graph.

Answer:

If my parents are going to pay the 5%, then, they will pay: $2979.

I will need to save $62.06 each month to accomplish my goal.

Step-by-step explanation:

I'm going to a 4-year college that will cost $14895/year.

It means that I will need to pay: 14895*4 = $59.580

If my parents are going to pay the 5%, then, they will pay: $2979.

Now, if I want to save my total contribution for all four years, and I have four years to accomplish  the goal, then:

Then, if I have 4 years to pay it. It means I have 4*12 = 48 months.

Then I will need to save $2979./48 = $62.06 each month to accomplish my goal.

The student needs to pay $744.75 yearly, which is 5% of the annual college cost. To save this amount over four years, they need to save $62.06 each month for 48 months.

The student needs to calculate their contribution to the college expenses. First, we need to find 5% of the annual cost of $14,895.00 to determine the student's yearly contribution:

Yearly Contribution = $14,895.00 * 0.05 = $744.75 per year.

Next, to calculate the total contribution over four years:

Total Contribution = 4 * $744.75 = $2,979.00.

To save the total amount in four years, we divide the total contribution by the number of months in four years (48 months):

Monthly Savings = $2,979.00 / 48 = $62.06.

Therefore, the student needs to save $62.06 each month for 48 months to cover their share of college expenses.

Answer:

[tex]\large\boxed{\dfrac{3}{4}<0.80}[/tex]

Step-by-step explanation:

[tex]\dfrac{3}{4}=0.75\\\\\text{therefore}\\\\\dfrac{3}{4}<0.89\ \text{is}\ \bold{TRUE}\\\\\dfrac{3}{4}>0.80\ \text{is}\ \bold{FALSE}\\\\\dfrac{7}{15}<\dfrac{1}{2}=0.50\ \text{because}\ \dfrac{7.5}{15}=\dfrac{1}{2}.\ \text{Therefore}\ \dfrac{7}{15}>0.50\ \text{is}\ \bold{FALSE}\\\\\dfrac{5}{7}>\dfrac{1}2{=0.50\ \text{because}\ \dfrac{3.5}{7}=\dfrac{1}{2}.\ \text{Therefore}\ 0.50>\dfrac{5}{7}\ \text{is}\ \bold{FALSE}[/tex]

A is the answer to this question

brainiest

Answer:

[tex]3a\times 3a\times 3a[/tex]

Step-by-step explanation:

The given expression is;

[tex](3a)^3[/tex]

Recall that;

[tex]a^m=a\times a\times \times a....[/tex] m-times.

In [tex](3a)^3[/tex] means

[tex]3a\times 3a\times 3a[/tex]

The correct choice is the third option

Answer:

3a x 3a x 3a

Step-by-step explanation:

Answer:

The correct answer would be H

Step-by-step explanation:

H

MSN’s MSN’s

Dnnsnsjsjs

Sjsjkssj

To divide fractions you flip the second fractions and multiply.

9/18 divided by 3/6 becomes -> 9/18 x 6/3

9 x 6 -> 54

18 x 3-> 54

your answer would simplify to 1.

Answer: 1

Step-by-step explanation: 9/18 =0.5 or one half, and 3/6=0.5 or one half, and one half divided by one half equals one 1/2 / 1/2 = 1

1680 is the PERMUTATION answer.

Answer:

Step-by-step explanation:

The angle at E is 90 degrees.

All tangents of a circle always meet the radius at a 90 degree angle.

90 + 67 + G = 180o    All triangles have 180 degrees. Combine left.

157 + G = 180o           Subtract 157 from both sides.

157 - 157 + G + 180 - 157

G = 23

The volume is 45 I think

The cylinder shown has a volume of 90 cubic units. The cone and the cylinder have the same height and the same base. The volume of the cone will be 30 cubic units.

It is defined as the three-dimensional shape in which the base is a circular shape and if we go from circular base to top the diameter of the circle reduces and at the vertex, it becomes almost zero.

Given:

The volume of the cylinder= 90 cubic units

The volume of the cylinder=πr²h

90 cubic units=πr²h

The volume of a cone is;

[tex]\rm V= \frac{1}{3} \pi r^2h \\\\ V=\frac{1}{3} \times 90 \ cubic units \\\\ V=30 \ cubic \ units[/tex]

Hence, the volume of the cone will be 30 cubic units.

To learn more about the cone, refer to the link;

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Answer:

62°

Step-by-step explanation:

The 2 shown angles form a straight angle and sum to 180°, that is

7x + 20 + 4x + 6 = 180

11x + 26 = 180 ( subtract 26 from both sides )

11x = 154 ( divide both sides by 11 )

x = 14

the acute angle = 4x + 6 = (4 × 14) + 6 = 56 + 6 = 62°

Answer:

option A

[tex]\left[\begin{array}{ccc}9&-4&-5|9\\7&4&-4|-1\\6&-6&1|-5\end{array}\right][/tex]

Step-by-step explanation:

Steps to write equations in augmented form

Step 1

Write the coefficients of the x-terms as the numbers down the first column

Step 2

Write the coefficients of the y-terms as the numbers down the second column

Step 3

Write the coefficients of the z-terms as the numbers down the third column

Step 4

Write the constants which are in the end of equation in fourth column

Answer:

a. [tex]\left[\begin{array}{cccc}9&-4&-5&|9\\7&4&-4&|-1\\6&-6&1&|-5\end{array}\right][/tex]

Step-by-step explanation:

The given matrix is

9x-4y-5z=9

7x+4y-4z=-1

6x-6y+z=-5

The augmented matrix is the coefficient matrix combined with the constant matrix.

The coefficient matrix is obtained by writing the coefficient of the variables as a matrix.

The constant matrix is obtained by writing the constants as a column matrix.

Combining the two gives the augmented matrix;

[tex]\left[\begin{array}{cccc}9&-4&-5&|9\\7&4&-4&|-1\\6&-6&1&|-5\end{array}\right][/tex]

Answer:

15. 6 ft

Step-by-step explanation:

Your calculation is correct

note h = 15.6 ft ( to the nearest tenth of a foot )

Yes,your calculation is correct

B answer choice is always b

Answer:

  B. Maximum.

Explanation:

  The basic speed rules require drivers to adjust speed to the conditions. The Night speed limits usually begin 30 minutes after sunset and 30 minutes before sunrise. They are used for sectors in which the safety problems require a speed lower than the self-selected by drivers.

  I hope this answer helps you.

This relation is a function because a function [tex]f[/tex] from a set [tex]A[/tex] to a set [tex]B[/tex] is a relation that assigns to each element [tex]x[/tex] in the set [tex]A[/tex] exactly one element [tex]y[/tex] in the set [tex]B[/tex]. The set [tex]A[/tex] is the domain (also called the set of inputs) of the function and the set [tex]B[/tex] contains the range (also called the set of outputs). So we have that:

[tex]\left[\begin{array}{cc}x & y\\4 & 5\\8 & 7\\12 & 9\\16 & 11\end{array}\right][/tex]

All these points have been plotted below, so you can realize this is a linear function. Therefore, with two points we can get the equation, so:

[tex]The \ equation \ of \ the \ line \ with \ slope \ m \\ passing \ through \ the \ point \ (x_{1},y_{1}) \ is:\\ \\ y-y_{1}=m(x-x_{1}) \\ \\ \\ y-5=\frac{7-5}{8-4}(x-4) \\ \\ y-5=\frac{2}{4}(x-4) \\ \\ y=\frac{1}{2}x+5-2 \\ \\ y=\frac{1}{2}x+3 \\ \\ \\ Where: \\ \\ (x_{1},y_{1})=(4,5) \\ \\ (x_{2},y_{2})=(8,7)[/tex]

Finally, the equation is:

[tex]\boxed{y=\frac{1}{2}x+3}[/tex]

I’m assuming you’re saying with an exponent. 7x^2+5

Answer:

7x^2+5

Step-by-step explanation:

Answer:

8 years old

Step-by-step explanation:

46 - 14 = 32 inches of growth

32 inches / 4 inches = 8 years

Answer: x=15/8

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

1/2 x+(3/2)(x)+ (3/2)(1) + −1/4 =5(Distribute)

Then, Combine like terms:

(1/2x + 3/2x) +(3/2 + −1/4) =5(Combine Like Terms)

Which you will get : 2x+ 5/4 =5

Step 2: Subtract 5/4 from both sides.

2x+ 5/4 − 5/4 =5− 5/4

2x= 15/4

Step 3: Divide both sides by 2.

[tex]\frac{2x}{2}  = \frac{15/4}{2}[/tex]

x = 15/8 ← Answer

* Hopefully this helps: ) Mark me the brainliest:)!!

~ 234483279c20~

Answer:

$7.50

Step-by-step explanation:

$2,760 is the total. 368 visited and paid the same price.

You'll need to divide 2760 by 368.

2760/368 = 7.5

$7.50 is the answer. Please mark brainliest.

Answer: 34 more pouches

7 boxes - fish food; 1 box contained 6 pouches

Total amount of fish food is 7 × 6 = 42 pouches of fish food

2 packets - cat food; 1 packet contained 4 pouches

Total amount of cat food is 2 × 4 = 8 pouches

How many more pouches of fish food than cat food did Shelly buy?

42 pouches - 8 pouches = 34 pouches

Therefore there was 34 more pouches of fish food than cat food

Answer:

[tex]4.5\ yd[/tex]

Step-by-step explanation:

step 1

we know that

Jeremy uses 27 inches of board for each birdhouse

so

by proportion

Calculate how  many inches of board does he need to make 6 birdhouses

[tex]\frac{27}{1}\frac{in}{birdhouses}=\frac{x}{6}\frac{in}{birdhouses} \\ \\x=6*27\\ \\x=162\ in[/tex]

step 2

Convert inches to yards

[tex]1\ yd =36\ in[/tex]

[tex]162\ in=162/36=4.5\ yd[/tex]

Answer:

Answer:

4y

Step-by-step explanation:

step 1

we know that

Jeremy uses 27 inches of board for each birdhouse

so

by proportion

Calculate how  many inches of board does he need to make 6 birdhouses

step 2

Convert inches to yards

Step-by-step explanation:

Answer:

[tex]\large\boxed{\begin{array}{c|c|c|c}Length:&4cm&2cm&8cm\\Width:&6cm&12cm&3cm\\Height:&9cm&9cm&9cm\end{array}}[/tex]

Step-by-step explanation:

The formula of a volume of a cube with side length a:

[tex]V=a^3[/tex]

We have a = 6cm. Substitute:

[tex]V=6^3=216\ cm^3[/tex]

[tex]\begin{array}{c|c}216&2\\108&2\\54&2\\27&3\\9&3\\3&3\\1\end{array}[/tex]

[tex]216=2\cdot2\cdot2\cdot3\cdot3\cdot3=(2\cdot2)\cdot(2\cdot3)\cdot(3\cdot3)=4\cdot6\cdot9\\\\216=2\cdot2\cdot2\cdot3\cdot3\cdot3=2\cdot(2\cdot2\cdot3)\cdot(3\cdot3)=2\cdot12\cdot9\\\\216=2\cdot2\cdot2\cdot3\cdot3\cdot3=(2\cdot2\cdot2)\cdot3\cdot(3\cdot3)=8\cdot3\cdot9\\\vdots[/tex]

Find the vertex: -4x^2 + 16x - 7​

Vertex = ( x, f(x)).

x = -b/2a

x = -16/2(-4)

x = -16/-8

x = 2

f(x) = -4x^2 + 16x - 7

Let x = 2

f(2) = -4(2)^2 + 16(2) - 7

f(2) = -4(4) + 32 - 7

f(2) = -16 + 32 - 7

f(2) = 16 - 7

f(2) = 9

Vertex = (2, 9)

Answer:

The value of the mean reflects both the number and the value of cases. is false

Step-by-step explanation:

The incorrect statement about the mean is that it's pulled in the direction of the hump in a skewed distribution. In fact, the mean is influenced by every value in the data set, including outliers, and if a distribution is skewed, the mean is pulled towards the tail, not the hump.

The statement that is false about the mean is: 'The mean is pulled in the direction of the hump in a skewed distribution'. Rather, it's the median that stays closer to the 'hump' in a skewed distribution. The mean is affected by every value in the data set, including outliers. If a distribution is skewed, the mean will be pulled in the direction of the skew, which could be towards the tail, not the hump. For example, in a right-skewed distribution with values 1, 2, and 100, the mean would be 34.33, which is closer to the outlier (100) rather than the hump around 1 and 2.

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Answer:

7

Step-by-step explanation:

The left hand limit is when we approach zero from left. We use the function on this domain in finding the limit.

[tex]\lim_{x \to 0^-} f(x)=7-x^2[/tex]

[tex]\lim_{x \to 0^-} f(x)=7-(0)^2=7[/tex]

The right hand limit is

[tex]\lim_{x \to 0^+} f(x)=10x+7[/tex]

[tex]\lim_{x \to 0^+} f(x)=10(0)+7=7[/tex]

Since the left hand limit equals the right hand limit;

[tex]\lim_{x \to 0} f(x)=7[/tex]

Answer:

120 cm^2

Step-by-step explanation:

Area of trapezoid = [tex]\frac{1}{2} (a + b) h[/tex]

a - 6

b - 10

h - 15

[tex]\frac{1}{2} (6+10)15[/tex]

[tex]\frac{1}{2} (16)15[/tex]

[tex]\frac{1}{2} * 240[/tex][tex]\frac{240}{2}[/tex]

= 120 cm ^2

Answer: 120cm

Step-by-step explanation:

in e2020 its thanx for the answer mark me the brailiest pleaseeee;)

Answer:

reflexive property

Step-by-step explanation:

it equals the same

hope this helps :)

Correct. It is the reflexive property

Because it equals the same

Answer:

B) 7 cans

Step-by-step explanation:

First task is to determine how many square units we have.

With the rectangle spanning 2 units on the X-axis and 3 unites on the Y-axis, we know that it has an area of 6 square units.

The two triangle shapes sum up to one unit total, since a triangle's area is (base * height) / 2.  Both have a base of 1 unit, and a height of 1 unit... so  (1 * 1) / 2  = 1/2 for each triangle.  Together, they occupy 1 unit.

So, total is 7 square units. Let's imagine it as a 7-unit by 1-unit rectangle, it will be easier to calculate.  Each unit is 5 feet.  So, this rectangle measures 35 (7 * 5) feet long, by 5 (1 * 5) feet wide... for a total of 175 (35 * 5) sq feet.

Since a can of paint can cover 25 sq feet, he'll need 7 cans (175 / 25).

Answer:

V = 1138.77333333 cm^3

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h

We know the diameter so we can find the radius

d = 16

r = d/2

  = 16/2 =8

The radius is 8

V = 1/3 pi (8)^2 * 17

V = 1088/3 *pi

Using 3.14 for pi

V = 1138.77333333 cm^3

Check the picture below.

[tex]\bf \stackrel{\textit{area of triangles on the left}}{2\left[\cfrac{1}{2}(2)(3) \right]}+\stackrel{\textit{area of triangles on the right}}{2\left[\cfrac{1}{2}(4)(3) \right]}\implies 6+12\implies 18[/tex]