A graduate school plans to increase its enrollment capacity by developing its facilities and the programs it offers. Their enrollment capacity this year was 120 graduate students. Beginning next year, the school plans to triple this number every year, with a target enrollment capacity of 3,240 students. Which equation represents this situation, and after how many years, t, will the graduate school be able to achieve its target enrollment capacity? A. 120(3)t = 3,240; t = 3 B. 120 + (3)t = 3,240; t = 7 C. (120 · 3)t = 3,240; t = 2 D. 120(1.3)t = 3,240; t = 27

I believe that would be 0.4691g

Answer: [tex]y=4x[/tex]

Step-by-step explanation:

A direct variation equation has the form:

[tex]y=kx[/tex]

Where k is a constant.

By definition, we know that the perimeter of the square is the sum of the lengths of its sides or, as all the sides are equal, you can multiply the lenght of any side by 4.

 Then, knowing that y is the dependent value and x the independent value and the constant k=4, you can write the following direct variation equation that represents the situation.

[tex]y=4x[/tex]

Final answer:

The direct variation equation that represents the perimeter (Y) of a square in relation to its side length (X) is Y = 4X, where the constant of variation is 4.

Explanation:

The question asks us to write a direct variation equation where perimeter of a square is the dependent variable (Y) and the side length is the independent variable (X). For a square, the perimeter (P) is equal to four times the side length (s), hence we can write the direct variation equation as Y = 4X. This equation indicates that the perimeter of a square directly varies with its side length, with the constant of variation being 4.

The answer would be b- ML.

to do this you should look at the similarity statement and match up the letters in the correct order... if that makes sense?

Answer:   [tex]\overlien{ML}[/tex]

Step-by-step explanation:

We know that the corresponding parts of two congruent triangles are congruent.

If [tex]\triangle{LMC}\cong\triangle{BJK}[/tex]

Then , [tex]\angle{L}\cong\angle{B}[/tex]

[tex]\angle{M}\cong\angle{J}[/tex]                            (1)

[tex]\angle{C}\cong\angle{K}[/tex]                           (2)

Then from (1) and (2) the side congruent to [tex]\overlien{JB}[/tex] is [tex]\overlien{ML}[/tex].

Answer:

Step-by-step explanation:

We have a rectangle with dimensions 12 ft × 6 ft in the base of the pyramid and two pairs of triangles with a base of 12 ft and 6 ft and heights of 8 ft and 9.5 ft.

The area of a base:

[tex]A_B=(12)(6)=72\ ft^2[/tex]

The areas of the triangles:

[tex]A_1=\dfrac{(12)(8)}{2}=(6)(8)=48\ ft^2\\\\A_2=\dfrac{(6)(9.5)}{2}=(3)(9.5)=28.5\ ft^2[/tex]

The Surface Area:

[tex]S.A.=A_B+2A_1+2A_2[/tex]

Substitute:

[tex]S.A.=72+2(48)+2(28.5)=72+96+57=225\ ft^2[/tex]

The cost would be $103.18. It would be 14.74 per pound times 7 pounds=$103.18. Hope this helps

Answer:

Food.

Step-by-step explanation:

They could eat anything, really.

Answer:

apples

Step-by-step explanation:

It is 1 with a remainder of 3

Answer:

y-int = +5

Step-by-step explanation:

Sum and Diff is just saying add up all like terms then plug in 0 into the x terms to get y. It's actually a lot easier than you think.

Combine like terms for the sum and difference. And some some of them you going have a negative for differences

Answer:

-19i + 26j

Step-by-step explanation:

-3 (5i - 6j) + 2 (-2i + 4j)

Distribute/multiply the -3 to everything in the parentheses

-15i + 18j + 2 (-2i + 4j)

Distribute/multiply the 2 to everything in the parentheses

-15i + 18j -4i + 8j

Combine like terms

-19i +26j

Answer:

oof, that looks hard

Step-by-step explanation:

Answer:

Divide area by 2

Step-by-step explanation:

the two triangles are half of the paralleogram.

Answer:

Financing to education

Step-by-step explanation:

Lyndon Johnson was the 36th president of the United Nations. He introduced democratic reforms in the 1965 which came to be collectively known as the Great Society Program. These reforms included civil rights legislation, consumer protection, healthcare and funding of education.

Answer:

Step-by-step explanation:

g(t)=t^2 - t

f(x) = (1 + x)

g(f(x)) = f(x)^2 - f(x)

g(f(x)) = (x + 1)^2 - x - 1

g(f(0)) = (0 +1)^2 - x - 1

g(f(0)) = 1 - 1  - 1 = -1

================================

f(x) = 1 + x

f(g(t)) = 1 + g(t)

f(g(t)) = 1 + t^2 - t

f(g(0)) = 1 + 0 - 0

f(g(0)) = 1

The answer I'm getting is 0.

Answer:

Step-by-step explanation:g(t)=t^2 - t

f(x) = (1 + x)

g(f(x)) = f(x)^2 - f(x)

g(f(x)) = (x + 1)^2 - x - 1

g(f(0)) = (0 +1)^2 - x - 1

g(f(0)) = 1 - 1  - 1 = -1

Step-by-step explanation:

y=5x-1

Because there is no exponent this is linear and not exponential

Answer:

X intercept is (0,-250) and Y intercept is (0,100)

Step-by-step explanation:

You just look at where the line intercepts the x and y intercepts

Answer:

1:4

Step-by-step explanation:

Both 14 and 56 are divisible by 14

14/14 =1

56/14 =4

The ratio 14:56  becomes 1:4

the answer is one .two  can only go into itself once hope this helps :)

Answer:

The answer is 1.

Step-by-step explanation:

To solve this problem, first you set up the division equation.

2 ÷ 2

Then, solve.

2 ÷ 2 = 1.

Therefore, 1 is the answer.

Answer:

The system has no solution

Step-by-step explanation:

Encountering an incorrect mathematical statement anywhere within the solution such as

1 = 3 which of course is false

Indicates the system has no solution

Final answer:

Dia ran for 1 1/2 hours at a speed of 4 mph. To find the distance, multiply the time (1.5 hours) by the speed (4 mph) to get a total distance of 6 miles.

Explanation:

On Wednesday, Dia ran for 1 1/2 hours at an average speed of 4 miles per hour. To calculate how far Dia ran, we can use the formula for distance, which is d = v × t, where d stands for distance, v stands for velocity (speed in this case), and t stands for time.

To start, we convert the 1 1/2 hours into a decimal to make the multiplication easier. Since 1/2 hour is equivalent to 0.5 hours, Dia ran for a total of 1.5 hours.

Now we calculate the distance using the formula:

Therefore, Dia ran a total distance of 6 miles.

Answer:

the answer is 66

Step-by-step explanation:

Theorem :If from one external point, two tangents are drawn to a circle then they have equal tangent segments.

Two tangents DB and BE are drawn to a circle from one point i.e.B

So, Using theorem

DB=BE =10 cm

So, Using theorem  

CF = CE = 15 cm

So, using theorem

AD =FA = 8 cm

Now AC = FA+CF = 8+15=23 cm

CB =BE+EC = 10+15=25 cm

AB = AD+DB=8+10=18 cm

Perimeter of triangle = Sum of all sides  

                                     =AB +CB+AC

                                     = 18 + 25 +23

                                     = 56 cm

Hence the perimeter of ΔACB is 56 cm

Answer:

y= 11x+28, with y being the amount of money Victor has in his savings account and x being the amount of weeks that have passed

Step-by-step explanation:

Victor already has 28 dollars at the beginning so that will be the y-intercept, he'll save $11 every week so that must be the x.

Step-by-step explanation:

Use the distributive formula to solve for n:

-a(b + c) = -ab - ac

So, to solve this you would have to use the distributive property:

-1/3n - 5 = -2

Add 5 to both sides

-1/3n - 5 + 5 = -2 + 5

-1/3n = 3

Now, multiply -3 from both sides

-1/3 * -3 n = 3 * -3

Simplify

n = -9

Hope that helped!!

~A̷l̷i̷s̷h̷e̷a̷♡

Answer:

n= -9

Step-by-step explanation:

-1/3(n+15) = -1/3 * n and -1/3* 15

-1/3*n=  -1/3n

-1/3*15= -5

-1/3n -5= -2

Add 5 to both sides

-1/3n = 3

Now divide 3 by -1/3

3/ (-1/3) = -9

n= -9

If n is negative, we have

[tex] 5+x = n<0[/tex]

So, in particular, we have

[tex]5+x<0 \iff x<-5[/tex]

So, x must be smaller than -5

The true statement about the equation [tex]5+x=n[/tex] is that [tex]5+x=n < 0[/tex] and  [tex]5+x=x < -5[/tex].

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’,

If n is negative, we have

[tex]5+x=n < 0[/tex]

So, in particular, we have

[tex]5+x=x < -5[/tex]

So, x must be smaller than -5

To know more about inequality follow

https://brainly.com/question/24372553

#SPJ2

Answer:

9.9

Step-by-step explanation:

Given the right angle triangle, we simply apply Pythagoras theorem to determine the length of the remaining side x;

x^2 = 18^2 - 15^2

x^2 = 99

x = sqrt(99) = 9.9

Answer:

9.9

Step-by-step explanation:

To find the value of x, we use the Pythagorean Theorem.

[tex]a^{2}+b^{2}=c^{2}[/tex]

a = x

b = 15

c = 18

[tex]x^{2}+15^{2}=18^{2}[/tex]

[tex]x^{2} + 225 = 324[/tex]

[tex]x^{2}=342-225[/tex]

[tex]x^{2}=99[/tex]

[tex]\sqrt{x^{2} }=\sqrt{99}[/tex]

[tex]x=9.95[/tex]

sin(x) = 1/2 when x is 30°, 150°, 210°, or 330° (unit circle).

With those angles, the cos(x) is ±√3/2 and the tan(x) is ±√3/3.

Answer:

[tex]cos(x)=\pm \frac{\sqrt3}{2}[/tex]

[tex]\tan(x)= \pm \frac{1}{\sqrt3}[/tex]  

Step-by-step explanation:

We are given the following information in the question:

[tex]\sin(x) = \displaystyle\frac{1}{2}[/tex]

We use the trigonometry identity:

[tex]\sin^2(x) + cos^2(x) =1[/tex]

Putting the value, we get,

[tex]\bigg(\displaystyle\frac{1}{2}\bigg)^2 + \cos^2(x) = 1\\\\\cos^2(x) = \frac{3}{4}\\\\\cos(x)=\pm \frac{\sqrt3}{2}[/tex]

Formula:

[tex]\tan(x) = \displaystyle\frac{sin(x)}{cox(x)}\\\\tan(x) = \frac{\pm \frac{1}{2}}{\frac{\sqrt3}{2}} = \pm \frac{1}{\sqrt3}[/tex]

➷ Go up from 2 on the x axis until you hit the line

Go across to see what value it hit the line at

This will give you the answer of $1

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer:

D is the answer

Step-by-step explanati

The answer is 6x^4

You can find the equation to your question here

https://brainly.com/question/9720288#readmore

The answer explains in detail and is easy to understand.

Answer:

[tex]6x^4[/tex]

Step-by-step explanation:

the expression we have is:

[tex](\sqrt{2x^3})( \sqrt{18x^5} )[/tex]

Because it is a product of two square roots, we can put it together in one:

[tex]\sqrt{(2x^3)(18x^5)}[/tex]

and we carry out the multiplication inside the square root

(to multiply the variable x we sum the exponents 3+5=8)

[tex]\sqrt{2*18x^{3+5}}\\\\=\sqrt{36x^8} \\[/tex]

and now we can take the square root of 36 which is 6.

and to take the square root if [tex]x^8[/tex] we divide the exponent by 2:

[tex]=6x^{8/2}\\=6x^4[/tex]

the simplified product is:  [tex]6x^4[/tex]

5 miles = 1 hour

1 mile = 1hour/ 5 miles = 1/5 hour

1/5 hour in minutes = 60 ÷ 5 = 12 mins.

Ans = 12 minutes

Happy to help! Marking my answer as the Brainliest would really be aprreciated.

Answer:

h = 21.6 m

Step-by-step explanation:

*I'm assuming that you need the height.  If not, let me know and I'll edit my answer...

The formula for volume of a pyramid is

V = (1/3)Bh    where B is the area of the base, and h is the height

We are given V = 8820, and the base is a square with area of 35² = 1225, plug  those in and find the height...

8820 = (1/3)(1225)h

    26460 = 1225h     (multiply both sides by 3 to get rid of the fraction)

        26460/1225 = h     (divide both sides by 1225 to isolate h)

              21.6 = h

Answer:

1946m ²

Step-by-step explanation:

Answer:

The correct answer is 4pi yd²

Step-by-step explanation:

The area of a circle is calculated using the formula A=πr², where A is area and r is radius of the circle. We obtain the radius of the circle by dividing the length of the diameter by 2, thus, the radius of the circle in the question is 4yd/2=2yd

substituting for the values we get, A= π×(2yd)²

A=4π yd²

ANSWER

[tex]A=4\pi {yd}^{2} [/tex]

EXPLANATION

The area of a circle is calculated using the formula,

[tex]A=\pi \: {r}^{2} [/tex]

The given circle has diameter which is 4 yards.

We divide the diameter into 2, to get the radius.

[tex]r = \frac{4}{2} = 2yd[/tex]

We substitute the radius to obtain,

[tex]A=\pi( {2}^{2} )[/tex]

This gives us,

[tex]A=4\pi {yd}^{2} [/tex]

Answer:

least to gratest is ,-33,-9,-3,3,15

Step-by-step explanation: