Complete this expression using the distributive property
5(4 + 8) =
O (5 + 4)(5 + 8)
O 5(4) + 8
O 5(4) + 5(8)
O (5+4) + (5 + 8)

Answer:

About 38 feet

Step-by-step explanation:

The formula for a circle's circumference is 2 times pi times r, which is the radius.

Since the diameter is 12, the radius is half the diameter, so the radius is 6.

2 times pi times 6 is about 37.7 feet, or 38 feet.

Hope this helped.

Answer:

[tex]A(t)=975(1.025)^t[/tex]

In 2025,the number of students at the villages high school=1159

Step-by-step explanation:

We are given that in 2018

Number of students at the villages high school=975

Increasing rate,r=2.5%=0.025

We have to write and use of exponential growth function to project the populating in 2025.

[tex]A_0=975,t=0[/tex]

According to question

Number of students at the villages high School is given by

[tex]A(t)=A_0(1+r)^t[/tex]

Substitute the values

[tex]A(t)=975(1+0.025)^t=975(1.025)^t[/tex]

t=7

Substitute the value

Then, the number of students at the villages high school in 2025

[tex]A(7)=975(1.025)^7=1158.96\approx 1159[/tex]

Answer:

1,159 students

Step-by-step explanation:

the exponential growth rate formula:

A = P ( 1 + r)ⁿ

Pop. 2025 = 975 (1 + 0.025)⁷

Pop. 2025 = 975 x 1.025⁷ = 1,158.97 ≈ 1,159 students

Answer:

No roots

Step-by-step explanation:

the discriminant Δ = 12²-4×(-10)×(-9) = -216

since ∆ is negative then the equation -10x^2 + 12x − 9 = 0 has no solution .

Answer:

see below

Step-by-step explanation:

To find the x intercept set y =0 and solve for x

6x+5y = -30

6x = -30

Divide by 6

x = -30/6 = -5

The x intercept is (-5,0)

To find the y intercept set x =0 and solve for y

6x+5y = -30

5y = -30

Divide by 5

y = -30/5 = -6

The y intercept is (0,-6)

To find the x-intercept set y =0. Solve for x.

6x+5y=-30

6x+5(0)=-30

6x+0=-30

6x=-30

x=-30/6

x=-5

The x-intercept is at (-5, 0)

To find the y-intercept set x =0. Solve for y.

6x+5y=-30

6(0)+5y=-30

0+5y=-30

5y=-30

y=-30/5

y=-6

The y-intercept is at (0, -6)

Answer:

4√73

Step-by-step explanation:

x^2= 12^2 + 32^2

x^2= 144+ 1024

x^2=1168

x= 4√73

Answer:

  3/2

Step-by-step explanation:

The graph rises 3 feet for each 2 seconds to the right. The slope is ...

  rise/run = (3 ft)/(2 s) = (3/2) ft/s

The numerical value of the slope is 3/2 or 1.5. The associated units are feet per second.

Answer:

28

Step-by-step explanation:

number of copies done in 5 minute 15 seconds = 147

60 seconds is equal to 1 minute

1 second is equal to 1/60 minutes

therefore 15 seconds is equal to 1/60 * 15 minutes = 1/4 minutes

thus,

number of copies done in 5 1/4 minute = 147

number of copies done in 1 minute = 147/ 5 1/4   (as 147/21 = 7)

                                                = 147/ (21/4) = 7*4 = 28

Thus, A copy machine makes 28 copies in 1 minute.

Answer:

The volume of the prism is 75 cubic inches

Step-by-step explanation:

The volume of the prism is the amount of space contained on the interior of the prism.

Now we have that this entire space is filled with cubes of defined volumes. Therefore, to get the volume of the prism, we can simply get the total volume occupied by all the cubes. This should give us our answer.

From the information we are given, we know that the there are 3 layers of cubes each containing 25 cubes.

This gives the total number of cubes to be 3 X 25 = 75 cubes in total

We also know that the volume of 1 cube is 1 cubic inch.

Hence the volume of 75 cubes will be 75 X 1 cubic inch = 75 cubic inches.

Answer:

10 and 2

Step-by-step explanation

Nitesh is currently 10 and Ravi is currently 2

(2 times 5 is 10)

in 2 years Nitesh will be 12 and Ravi will be 4

(4 times 3 is 12)

f'(x) = (4 arctan(7x))'

f'(x) = 4 (arctan(7x))'

By the chain rule,

f'(x) = 4/(1 + (7x)^2) * (7x)'

f'(x) = 28/(1 + 49x^2)

and hence

f'(4) = 28/(1 + 49*16) = 28/785

In case you're not sure about the derivative of arctan: If y = arctan(x), then x = tan(y). Differentiating both sides with respect to x gives

1 = sec^2y y' = (1 + tan^2y) y' = (1 + x^2) y'

==>  y' = 1/(1 + x^2)

Answer:

P = 0.5207

Step-by-step explanation:

First, we have three options: Just the first card is a diamond or an ace, Just the second card is a diamond or an ace and both cards are diamonds or aces.

Additionally, there are 16 cards that are diamond or aces in a standard deck of 52 cards (13 diamonds and 3 aces that are not diamonds). It means that there are 36 cards that are not diamond or aces (52 - 16 = 36).

So, the probability that just the first card is a diamond or an ace is calculated as:

[tex]P_1=\frac{16}{52}*\frac{36}{52}=0.2130[/tex]

At the same way, the probability that just the second card is a diamond or an ace is:

[tex]P_2=\frac{36}{52}*\frac{16}{52}=0.2130[/tex]

Finally, the probability that both cards are diamonds or aces is:

[tex]P_3=\frac{16}{52}*\frac{16}{52}=0.0947[/tex]

Therefore, the probability that at least one of the cards is a diamond or an ace is:

[tex]P=P_1+P_2+P_3\\P=0.2130+0.2130+0.0947\\P=0.5207[/tex]

Answer:

Step-by-step explanation:

Answer:

[tex]\frac{12}{35}[/tex]

Step-by-step explanation:

[tex]\frac{-4}{5} * \frac{3}{5} * (\frac{-6}{7} ) * \frac{5}{6}[/tex]

[tex]\frac{(-4) * 3}{5 * 1} * \frac{(-1)}{7} \\\\\frac{12}{35}[/tex]

Answer:

The inverse function is [tex]f^{-1}(x) = \frac{x-1}{2}[/tex]

Step-by-step explanation:

We have the following function:

y = 2x + 1

Finding the inverse:

Exchange y and x, and then isolate y again. So

y = 2x + 1

Exchange y and x

x = 2y + 1

2y = x - 1

[tex]y = \frac{x-1}{2}[/tex]

So

The inverse function is [tex]f^{-1}(x) = \frac{x-1}{2}[/tex]

Answer:

Answers below

Step-by-step explanation:

a. Is x​ (approximately) a binomial random​ variable?

b. Give the probability distribution for x as a formula.

c. Find p(x = 2).

d. Find P(x <= 1).

Answer:

The relation between battery capacity and time is:

[tex]Y=0.05t+0.2[/tex]

The graph is attached.

Step-by-step explanation:

We will graph the charged capacity of the battery in function of time.

The rate of charge is constant, so we can conclude the relation is linear.

At time t=0, the battery capacity is at 0.2 (or 20%).

Every minute that passes, an additional 5% percent of its capacity is charged. So we can say that at t=1, the battery capacity is 0.2+0.05=0.25 (or 25%).

We can calculate the slope of the linear function as:

[tex]m=\dfrac{\Delta Y}{\Delta t}=\dfrac{0.05}{1}=0.05[/tex]

Then, the relation between battery capacity and time is:

[tex]Y=0.05t+0.2[/tex]

Answer:

Pre-image ABCD has been shifted 2 units right and 1 unit upwards.

Step-by-step explanation:

Coordinates of the points A,B,C and D of the pre-image ABCD,

A(-4, 4), B(-1, 4), C(-5, 1), D(-2,1)

Coordinates of the points A', B', C' and D' of the image A'B'C'D'.

A'(-2, 5), B'(1, 5), C'(-3, 2), D'(0, 2)

Now we choose points A from the pre-image and A' from the image,

A(-4, 4) → A'(-2, 5)

Rule for the translation will be,

A(-4, 4) → A'(-4+2, 4+1)

Or A(x, y) → A'(x+2, y+1)

Therefore, pre-image ABCD has been shifted 2 units right and 1 unit upwards to form image A'B'C'D'.

Answer: It's D

Step-by-step explanation:

the last one I just took the quiz

Answer:

f(x) = x³ - 2x²

=>

f(i) = i³- 2i²

Hope this helps!

:)

I think just two reflections would do it.

First we reflect around y = -x, the 45 degree line through the origin and the second and fourth quadrant.

Then we reflect through the y axis, x=0.

The composition of the two reflections is equivalent to a 90 degree clockwise rotation.

Answer: No, it is not possible to get the same image as a 90-degree clockwise rotation using only translations and/or reflections. In the rotation, the x- and y-coordinates are switched. There is no way to reverse the order of the coordinates using only reflections or translations.

Step-by-step explanation:

ITS CORRECT. EDGE 2020

Answer:

B

Step-by-step explanation:

The sum of all angles in a triangle must equal 180 degrees. Knowing this, you can find the values of p and q.

p

80 + 20 + p = 180

100 + p = 180

100 - 100 + p = 180 - 100

p = 80

q

55 + 45 + q = 180

100 + q = 180

100 - 100 + q = 180 - 100

q = 80

Conclusion

That means that p & q are equal to one another.

I hope this helps! Have a great day!

The thing that's true about the values p and q is that p = q.

The total sum of the angles in a triangle is 180°.

From the first triangle, the value of p will be:

80° + 20° + p = 180°

100° + p = 180°

p = 180° - 100°

p = 80°

From the second triangle, the value of q will be:

55° + 45° + q = 180°

100° + q = 180°

q = 180° - 100°

q = 80°

Therefore, p = q.

Read related link on:

https://brainly.com/question/16020981

88°

Step-by-step explanation:

sum of angle=720

95+120+120+172+125+x=720

632+x=720

×=720-632

x=88

Answer:

[tex] \boxed{x \degree = 88 \degree} [/tex]

Step-by-step explanation:

Sum of the interior angles of a hexagon is 720°

[tex] = > x \degree + 172 \degree + 120 \degree + 95 \degree + 120 \degree + 125 \degree = 720 \degree \\ \\ = > x \degree + 172 \degree + 240 \degree + 220 \degree = 720 \degree \\ \\ = > x \degree + 172 \degree + 460 \degree = 720 \degree \\ \\ = > x \degree + 632 \degree = 720 \degree \\ \\ = > x \degree = 720 \degree - 632 \degree \\ \\ = > x \degree = 88 \degree[/tex]

Answer:

y-intercept decreased by 3-1= 2 points

Step-by-step explanation:

y=-9x+ 3 ⇒ y-intercept= 3

y=-9x + 1 ⇒ y-intercept= 1

y-intercept decreased by 3-1= 2 points = the line shifted down by 2 points

Answer:

Hello!

Answer: y-intercept decreased by 2 points because 3-1=2

I hope I was of help.  If not, please let me know!  Thanks!

Step-by-step explanation:

Answer:

[tex]y=\frac{(-\frac{4}{x}+1)^2-3 }{4}[/tex]

Step-by-step explanation:

We are given the following information. y have the point [tex](-2,\frac{3}{2} )[/tex] and [tex]\frac{dy}{dx} =\frac{\sqrt{4y+3} }{x^2}[/tex]

First, we need to separate the variables to their respective sides

[tex]\frac{1}{\sqrt{4y+3} } dy=\frac{1}{x^2} dx[/tex]

Now, we need to integrate each side

[tex]\int \frac{1}{\sqrt{4y+3} } dy=\int\frac{1}{x^2} dx[/tex]

But first, let us rewrite these functions

[tex]\int (4y+3)^{-\frac{1}{2} } dy=\int x^{-2} dx[/tex]

Before we can integrate, we need to have the hook for the first function. When we integrate [tex](4y+3)^{-\frac{1}{2} }[/tex], we must have a lone 4 within the integral as well.

[tex]\frac{1}{4} \int4 (4y+3)^{-\frac{1}{2} } dy=\int x^{-2} dx[/tex]

Now we can integrate each side to get

[tex]\frac{1}{4} \sqrt{4y+3} =-\frac{1}{x} + c[/tex]

Now is the best time to use the given point in order to find the value of c.

[tex]\frac{1}{4} \sqrt{4(\frac{3}{2}) +3} =-\frac{1}{-2} + c\\\\\frac{1}{4}\sqrt{6+3} =\frac{1}{2} +c \\\\\frac{3}{4}=\frac{1}{2} +c\\ \\c=\frac{1}{4}[/tex]

Now we can plug in our value for c and then solve for y

[tex]\frac{1}{4} \sqrt{4y+3} =-\frac{1}{x} + \frac{1}{4} \\\\\sqrt{4y+3}=-\frac{4}{x} +1\\ \\4y+3=(-\frac{4}{x} +1)^2\\\\4y=(-\frac{4}{x} +1)^2-3\\\\y=\frac{(-\frac{4}{x} +1)^2-3}{4}[/tex]

Answer:

n +10 =20

Step-by-step explanation:

answer =20 . thank God

Answer: 270

Step-by-step explanation:

The notation [tex](\frac{f}{g})(5)[/tex] means to divide [tex]\frac{f(5)}{g(5)}[/tex]. Now that we know we have to divide, we can plug them into this equation.

[tex]\frac{7+4(5)}{\frac{1}{2(5)} }=\frac{27}{\frac{1}{10} }[/tex]. We know that dividing by a fraction means to multiply by its reciprocal, so we'll do that.

[tex]27*10=270[/tex]

Answer:

  (0, ∞)

Step-by-step explanation:

An exponential function has a horizontal asymptote at y=0. Its vertical extent is toward infinity.

The range is ...

  0 < f(x) < ∞

The units of tile will he need to surround his pool is 13.42

The given parameters are:

[tex]AB =2.24[/tex]

[tex]BD =5[/tex]

Start by calculating the distance BC using the following Pythagoras theorem

[tex]BD^2 = AB^2 + BC^2[/tex]

So, we have:

[tex]5^2 = 2.24^2 + BC^2[/tex]

[tex]25 = 5 + BC^2[/tex]

Collect like terms

[tex]BC^2 = 25 - 5[/tex]

[tex]BC^2 = 20[/tex]

Take the square roots of both sides

[tex]BC = 4.47[/tex]

The unit of tiles is then calculated using the following perimeter formula

[tex]Tiles = 2 \times (AB + BC)[/tex]

So, we have:

[tex]Tiles = 2 \times (2.24 + 4.47)[/tex]

[tex]Tiles = 13.42[/tex]

Hence, the units of tile will he need to surround his pool is 13.42

Read more about perimeters at:

https://brainly.com/question/17297081

4 for 16 would be written as 4/16.

Dividing both numbers by 4 it is simplified to 1/4

4 ounces for every 16 ounces can be written as:

[tex]\displaystyle \frac{4}{16} =\frac{1}{4}[/tex]

As a ratio, it can be expressed as:

[tex]1:4[/tex]

Answer:

The degrees of freedom for the numerator on this case is given by [tex]df_{num}=df_{within}=k=3[/tex] where k =3 represent the number of independent variables.

The degrees of freedom for the denominator on this case is given by [tex]df_{den}=df_{between}=N-p-1=47-3-1 =43[/tex].

And the total degrees of freedom would be [tex]df=N-1=47 -1 =46[/tex]

And then the degrees of freedom for the numerator are 3 and for the denominator are 43 in order to find the critical value [tex]F_{3,43}[/tex]

Step-by-step explanation:

We need to take in count that we are conducting a regression model with just one dependent variable and 3 independent variables

The degrees of freedom for the numerator on this case is given by [tex]df_{num}=df_{within}=k=3[/tex] where k =3 represent the number of independent variables.

The degrees of freedom for the denominator on this case is given by [tex]df_{den}=df_{between}=N-p-1=47-3-1 =43[/tex].

And the total degrees of freedom would be [tex]df=N-1=47 -1 =46[/tex]

And then the degrees of freedom for the numerator are 3 and for the denominator are 43 in order to find the critical value [tex]F_{3,43}[/tex]