I will give Brainliest!!!


A savings account was opened and not touched for 4 years. The amount of money in the account grew by a consistent percentage at the end of each year. Complete the missing values in the table.

Answer:

  6076π ≈ 19088.3 cubic units

Step-by-step explanation:

The volume of a cylinder is found using the formula ...

  V = πr²h

__

For the given dimensions, the volume is ...

  V = π(14²)(31) = 6076π ≈ 19088.3 . . . cubic units

The value in the part (c) is 1/(b-a) if the graph of any continuous function y = f(x) for a ≤ x ≤ b is rotated about the horizontal line y = L, the volume obtained depends on L.

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

We have a graph of any continuous function y = f(x) for a ≤ x ≤ b is rotated about the horizontal line y = L.

For part(c)

[tex]\rm V(L) = \int\limits^b_a {\pi(f(x) -L)^2} \, dx\\\\\rm V(L) = \int\limits^b_a {\pi((f(x))^2 -2f(x)+L^2)} \, dx\\\\\rm V(L) = \pi \int\limits^b_a {(f(x))^2} \, dx-2\pi L \int\limits^b_a {f(x)} \, dx +L^2\pi\int\limits^b_a {} \, dx[/tex]

Now finding V'(L)

[tex]\rm V'(L) = -2\pi \int\limits^b_a {f(x)} \, dx+2\pi L \int\limits^b_a {} \, dx[/tex]

[tex]\rm V'(L) = -2\pi \int\limits^b_a {f(x)} \, dx+2\pi L (b-a)[/tex]

Now equation V'(L) to zero; V'(L) = 0

[tex]\rm -2\pi \int\limits^b_a {f(x)} \, dx+2\pi L (b-a)=0[/tex]

[tex]\rm \int\limits^b_a {f(x)} \, dx= L (b-a)[/tex]

[tex]\rm L = \frac{1}{b-a} \int\limits^b_a {f(x)} \, dx[/tex]

The above expression is representing the critical point.

Now finding V''(L)

V''(L) = 2π(b-a) >0 at L

[tex]\rm L = \frac{1}{b-a} \int\limits^b_a {f(x)} \, dx[/tex]   (minimizines the volume)

Thus, the value in the part (c) is 1/(b-a) if the graph of any continuous function y = f(x) for a ≤ x ≤ b is rotated about the horizontal line y = L, the volume obtained depends on L.

Learn more about integration here:

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Answer:

Step-by-step explanation:

2a-5a = -3a, combine like terms

   -3a = -3a , this is true all the time so ...

The equation  2a-5a = -3a has infinite many solution.

Answer:

n=-26

Step-by-step explanation:

Since n+25=-1, that means n must be less than -25 since if -25+25=0, so n=-26 since -1 is 0-1.

Answer:

m < 2 = 130°

m < 3 = 50°

m < 4 = 130°

m < 5 = 50°

m < 6 = 130°

m < 7 = 50°

m < 8 = 130°

Step-by-step explanation:

I hope this helps.

Answer:

The x-intercept is (4, 0)

The y-intercept is (0, -5)

Step-by-step explanation:

The x-intercept is always (x, 0)

Knowing this we can sub 0 for y in the equation so we can find the x-intercept

[tex]5x-4y=20\\5x-4(0)=20\\5x=20[/tex]

Now solve for x

[tex]5x=20\\\frac{5x}{5} =\frac{20}{5} \\x=4[/tex]

The x-intercept is (4,0)

The y-intercept is always (0, y)

Knowing this we can sub 0 for x in the equation so we can find the y-intercept

[tex]5x-4y=29\\5(0)-4y=20\\-4y=20[/tex]

Now solve for y

[tex]-4y=20\\\frac{-4y}{-4} =\frac{20}{-4} \\y=-5[/tex]

The y-intercept is (0, -5)

Answer:

C. lifestyle

Step-by-step explanation:

Hope this helps!

Answer:

The anwer is B 1200 in

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Taking your own heart rate is the most inexpensive, but it is also accurate if you can measure it correctly.

Answer:

x = -3/2

Step-by-step explanation:

note: 1/125 can be written as 5 exponent -3 thus, 5^-3

Expressing it in this form, we can rewrite the above equation as

5^2x = 5^-3

As part of the laws of indices and logarithms, when the bases are the same and they are equating, You equate only the exponents

therefore, we have;

2x = -3

divide through by 2

x = -3/2

Answer:

20.75-13=7.75

Maria studies 7.75 hours in April

Step-by-step explanation:

Brainliest would be appreciated

The line of best fit is an illustration of a linear regression

Using the assumed parameters, the value of x when x = 24 is 30.75

The equation of the line of best fit is not given, and the parameters to calculate the line of best fit are missing.

So, I will assume the following parameter values.

Assume that the line of best fit passes through the points

(x,y) = (1,2) and (5,7)

The slope of the line would be:

m = (7 - 2)/(5- 1)

m = 1.25

The equation is then calculated as:

y =m(x - x1) + y1

This gives

y = 1.25(x - 1) + 2

Expand

y = 1.25x - 1.25 + 2

Evaluate

y = 1.25x + 0.75

When x = 24, we have:

y = 1.25 * 24 + 0.75

Evaluate

y = 30.75

Using the assumed values, the value of x when x = 24 is 30.75

Read more about line of best fit at:

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Answer:

x = 4  or x = -3

-1

Step-by-step explanation:

26.

x² = x + 12

x² - x - 12 = 0

(x - 4)(x + 3) = 0

x - 4 = 0  or  x + 3 = 0

x = 4  or x = -3

27.

(-6 + 4)/2 = -2/2 = -1

Answer:

C

step by step equation:

add 3 to both side

than simplify

Answer:

This is the best answer I could find but it may be incorrect (3,-2)

We need theta first (angle

[tex]\\ \rm\rightarrowtail sin\theta=\dfrac{P}{H}[/tex]

[tex]\\ \rm\rightarrowtail sin\theta=\dfrac{11.8}{12}[/tex]

[tex]\\ \rm\rightarrowtail sin\theta=0.9834[/tex]

[tex]\\ \rm\rightarrowtail \theta=sin^{-1}(0.9834)[/tex]

[tex]\\ \rm\rightarrowtail \theta=79.54°[/tex]

On rounding it will go till 80°

Answer:

D. extrovert/unstable

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

They rolled an even number 40/60 times which simplifies to 2/3

Answer:

C

Step-by-step explanation:

Table

Dice Roll             Number of times

1                               4

2                              11

3                               6

4                              17

5                              10

6                              12

Total                        60

Total of the even numbers

11

17

12

40  

P(even) = even / total

P(even)  = 40/60

AnswerP(even) = 2/3

Answer:

346in

Step-by-step explanation:

[tex]\hookrightarrow Here,\\\\\hookrightarrow a=56 in, b = 22 in, c = 73 in, and d = 25 in\\\\Now,\\\\\hookrightarrow Perimeter=Sum\:of\:all\:sides\\\\\hookrightarrow Perimeter=a+b+b+d+(c-2d)+b+d+b+a+c\\\\\hookrightarrow Perimeter=56+25+22+22+(73-25-25)+22+25+22+56+73\\\\\hookrightarrow Perimeter=346in[/tex]

Answer: 8/15

Step-by-step explanation: take all the color of marbles and add them together. There is where you get your denominator of 25. Next, since you are finding for yellow marbles, take the number of yellow marbles (8) and that will be your numerator.

Answer:

D

Step-by-step explanation:

to find the value in grams, we just multiply by a 1000

so, 31.8 × 1000 = 31,800 grams

Find the ratio of the given one: 20/200 = 0.1

this means the sugar (y) is 0.1 amount of soda (x)

Multiply the amount of soda by 0.1:

Formula is y = 0.1x

Formula : y = kx or y = k/x

Thus since the formula is y = kx then we can substitute:

y = 20

k = ?

x = 200

20 = ? / 200

? = 10

Therefore for the rest of the blank

100/10 = 10

500/10 = 50

1000/10 = 100

So the chart now is:

| Drink (x ml) |   200 |       100 |    500|   1000|  

| Sugar (y g)  | 20      |  10       |    50   |  100   |

[RevyBreeze]

y = 2

To determine the equation of the line that passes through (10,2) and (-3,2), we need to determine the slope of the line. Then substitute the slope and any given point in point slope form to obtain the equation of the line.

[tex]\implies \text{Slope} = \dfrac{\text{Rise}}{\text{Run}} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

[tex]\implies \text{Slope} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

Substitute the coordinates of the given points:

[tex]\implies \text{Slope} = \dfrac{2 - 2}{-3 - 10 }[/tex]

Simplify the equation to determine the slope:

[tex]\implies \text{Slope} = \dfrac{0}{-3 - 10 }[/tex]

∴ 0 divided by ANY number is ALWAYS 0.

[tex]\implies \text{Slope} =0[/tex]

Point slope form formula: y - y₁ = m(x - x₁)

Substitute the values in the point slope form:

[tex]\implies \text{Equation of line:} \ y - y_{1} = m(x - x_{1} )[/tex]

[tex]\implies \text{Equation of line:} \ y - 2 = 0(x - 10)[/tex]

Simplify the equation to determine the equation of the line:

∴ Any number multiplied by 0 is 0.

[tex]\implies \text{Equation of line:} \ y - 2 = 0[/tex]

[tex]\implies \text{Equation of line:} \ y = 0 + 2[/tex]

[tex]\implies \text{Equation of line:} \ y = 2[/tex]

Thus, the equation of the line is y = 2.

Answer:

-6x-10

Step-by-step explanation:

you multiply 3x by -2

and 5 by -2

never forget the negative

Answer:

Option B, [tex]49m^2 - 81n^4[/tex]

Step-by-step explanation:

Step 1:  Determine the difference of two squares

According to online, "In mathematics, the difference of two squares is a squared number subtracted from another squared number. Every difference of squares may be factored according to the identity a^2-b^2 = in elementary algebra."  a^2 - b^2 gives us (a + b)(a - b)

The only one that would work is Option B so lets factor it out.

[tex]49m^2 - 81n^4[/tex]

[tex](7m + 9n^2)(7m - 9n^2)[/tex]

Answer:  Option B, [tex]49m^2 - 81n^4[/tex]

Answer:

[tex]60a^{2} b^{4} c[/tex]

Step-by-step explanation:

just multiply first paranthesis with second one. They are each 1 unit as there are no addition or subtraction inside the parantehsis so DON'T distribute. It's more simple.

(12ab^4c)*(5a)

now multiply these 2 paranthesis, again just 2 units to multiple.

60a^2b^4c

Answer:

Parabolas have a plane-curve shape, like the one shown in the picture.

And in numerical form, 20

Answer:

20

Step-by-step explanation:

first yo get the number 19 then after that you can add 1 and your answer is 20 and aafter 20 (just incase you want to know) is 21

Answer:

A. x = 24, m∠B = 64°

Hope this helps!