Please explain how to solve these!

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]

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:

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:

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:

A. x = 24, m∠B = 64°

Hope this helps!

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.

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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

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The house will cost approximately $246,359.85 seven years from now.

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + r/n)^{nt}[/tex]

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

In this problem,

P = $140,000

r = 0.07

n = 1 (compounded annually)

t = 7.

Plugging in these values.

A = $140,000 (1 + 0.07/1)^(1 x 7)

A = $140,000 (1.07)^7

A = $246,359.85

Therefore,

The house will cost approximately $246,359.85 seven years from now.

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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:

-6x-10

Step-by-step explanation:

you multiply 3x by -2

and 5 by -2

never forget the negative

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)

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:

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:

Step-by-step explanation:

f(-6) is the corresponding number of -6 and you can spot it on the y-axis

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

Step-by-step explanation:

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

so, 31.8 × 1000 = 31,800 grams

Answer:

it's 460 I think, because the last number is a five so if it's over a five you round up

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:

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:

20.75-13=7.75

Maria studies 7.75 hours in April

Step-by-step explanation:

Brainliest would be appreciated

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]

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