The first term of geometric series is -3, the common ratio is 6, and the sum of the series is -4,665. using a table of values, how many terms are in this geometric series

Answer:

the answer is graph 1

Step-by-step explanation:

Answer:

RHS

Step-by-step explanation: the hypotenuse and one side of the triangle is respectively equal to the hypotenuse and one side of the other triangle

so, its rhs

Answer:

y = 175. x = 300. Disney vacation is 300 sold. Cars sold were 175.

Step-by-step explanation:

They want to raise $80,000. There are a total of 475 tickets.

150x + 200y (Disney Vacation + Win a car) = 80,000

x + y = 475.

__
y=475-x

150x+200(475-x)=80000

150x+95,000-200x=80,000.

-50x + 95,000 = 80,000.

-50x = -15,000

x = 300.

Disney vacation is 300 sold.

300 + y = 475.

y = 175.

Cars sold were 175.

Additional Info:

I am 14 years old and I'm learning solving the systems by elimination and substitution, etc. Hope this is the correct answer.

Answer: B. 48 pi in^2

Step-by-step explanation:

Plug the given values into the equation.

So the SA = 2*pi*3*5 + 2*pi*3^2

SA = 30pi + 18pi

SA = 48 pi in^2

Answer:

24 min

Step-by-step explanation:

14-8 is 6 so you need to shrink it 6 feet until it has a daimiter of 8.

6 divided by .25 is 24 so you have your answer

14-.25x=8

The equation is 14 - 0.25x = 8.

It will take 24 minutes for the balloon to shrink.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Given:

A hot-air balloon has a 14-foot diameter.

Rate of 0.25 feet per minute.

Now, equation to represent the situation is

14 - 0.25x = 8

On further solving

6= 0.25x

x= 6/0.25

x= 24

Hence, it will take 24 minutes for the balloon to shrink.

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The equation of the parabola whose focus is at (3, 0) and the directrix is at x = –3 is y=6x²+6x.

y = a(x-h)² + k

where,

(h, k) are the coordinates of the vertex of the parabola in form (x, y);

a defines how narrower is the parabola, and the "-" or "+" that the parabola will open up or down.

As it is given that the focus of the parabola is at F(3,0) and its directrix is the line x=−3, therefore, we can write that

x=-3

x+3=0

Now, Let A(x,y) be any point in the plane of the directrix and focus, and MA be the perpendicular distance from A to the directrix, therefore, A lies on parabola if FA=MA,

[tex]FA=MA\\\\\sqrt{(x-3)^2 +(y-0)^2}=\dfrac{|x+3|}{1}\\\\{(x-3)^2 +(y-0)^2}={(x+3)^2}\\\\-6x^2+y=6x\\\\y=6x^2+6x[/tex]

Hence, the equation of the parabola whose focus is at (3, 0) and the directrix is at x = –3 is y=6x²+6x.

Learn more about Parabola:

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Answer:

75%

Step-by-step explanation:

457.7/610

divide it out

.75

make it a percentage

.75 × 100 = 75%

Hey guys! Person above me is correct, I made a mistke in my calculations!

Step-by-step explanation:

2cm : 15cm so

5cm : 37.5cm

so 5cm is therefore=37.5cm

In a right-angled triangle, the Pythagoras theorem is used to find the hypotenuse. Then the hypotenuse is 32.2 inches.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

Given

A right triangle has legs measuring 16 inches And 28 inches.

We know the Pythagoras theorem

[tex]\rm Hypotenuse ^2 = Base ^2 + Perpendicular^2[/tex]

Then the hypotenuse will be.

[tex]\rm Hypotenuse ^2 = Base ^2 + Perpendicular^2\\\\\rm Hypotenuse ^2 = 16^2 + 28^2\\\\ \rm Hypotenuse ^2 = 256 + 784\\\\\rm Hypotenuse ^2 = 1040\\\\\rm Hypotenuse \ = 32.2[/tex]

Thus, the hypotenuse is 32.2 inches.

More about the right-angle triangle link is given below.

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The graph I have attached shows the translation. The dashed triangle shows the first step (traveling left 4 units). The red triangle is the finished product.

So the new coordinates...

D- (-2,-2)

E- (-1,3)

F- (1,-5)

You use the formula

3000*.09*3=810

She will have to pay back the amount of $3,810.

Simple interest is defined as interest paid on the original principal and calculated with the following formula:

S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100.

We have been given data as:

Principal (P) = $3,000

Rate of Interest (R) = 9% = 9/100 = 0.09

Time (T) = three years

⇒ Simple interest  = P × R × T

Substitute the value of P, R, and T in the above formula,

⇒ Simple interest  = 3,000× 9% × 3

⇒ Simple interest  = 3,000× 9/100 × 3

⇒ Simple interest  = 3,000× 0.09 × 3

Apply the multiplication operation, and we get

⇒ Simple interest  = $810

The total payback amount = $3,000 + $810 = $3,810

Therefore, she will have to pay back the amount of $3,810.

Learn more about the simple interest here:

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Answer:

[tex]\sqrt[15]{m^2n^4}[/tex]

Step-by-step explanation:

[tex](\sqrt[5]{m^2n^4} )^{\frac{1}{3}}\\\\\implies( (m^2n^4)^{\frac{1}{5}})^{\frac{1}{3}}\\\\\implies (m^2n^4)^{\frac{1}{5}\times \frac{1}{3}}\\\\\implies (m^2n^4)^{\frac{1}{15}}\\\\\implies (m^2)^{\frac{1}{15}} (n^4)^{\frac{1}{15}}\\\\\implies m^{\frac{2}{15}} n^{\frac{4}{15}}[/tex]

[tex]\sqrt[15]{m^2n^4}[/tex]

Answer:

3$

Step-by-step explanation:

Answer:

i dont know Ecactly but i think mybe its 10 or 15

In the carnival the number of games number of rides Wyatt went on is 3 and 6 respectively.

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

The number of unknown objects can be find using the system of solution.

Given information-

The cost of each game is $1.25.

The cost of each ride is $2.75.

Total amount of money spent by the Wyatt is $20.25.

The number of rides he went on is twice the number of games he played.

Suppose the number of games Wyatt played is x and the number of rides he went in the carnival is y.

As, the number of rides he went on is twice the number of games he played. Thus,

[tex]y=2x[/tex]

Let the above equation as equation one.

As total amount of money spent by the Wyatt is $20.25 and The cost of each game is $1.25 and the cost of each ride is $2.75. Thus,

[tex]1.25x+2.75y=20.25\\[/tex]

Put the value of y in the above equation from the equation one as,

[tex]1.25x+2.75(2x)=20.25\\1.25x+5.5x=20.25\\6.75x=20.25\\x=3[/tex]

Thus the number of games he played is 3.

Put this value of x in the equation one as,

[tex]y=2\times3\\y=6[/tex]

Thus the number rides Wyatt went on is 6.

Hence, In the carnival the number of games number of rides, Wyatt went on is 3 and 6 respectively.

Learn more about the system of equations here;

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Answer:

11m^3+16m+16

Step-by-step explanation:

First, you have to subtract the m^3, then the m, and the 11 and -5.

Answer:

11m^3-21m^2+20m+16

Step-by-step explanation:

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{-5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{4}}}\implies \cfrac{-7}{-4}\implies \cfrac{7}{4}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{\cfrac{7}{4}}(x-\stackrel{x_1}{4}) \\\\\\ y-2=\cfrac{7}{4}x-7\implies y=\cfrac{7}{4}x-5[/tex]

Answer:

14

Step-by-step explanation:

[tex](3 + 4)2 \\ add \: 3 \: to \: 4 = 7 \\ (7)2 \\ 7 \times 2 \\ 14[/tex]

Answer:

B: 84%

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

House number:

1. has 3 people

2. has 2 people

3. has 3 people

4. has 2 people

5. has 3 people

6. has 2 people

7. has 3 people

looking at each rule, it all fits.

so now add it all up so its 18

Answer:

D. 9, 40, 41

Step-by-step explanation:

We can use Pythagorean theorem (a²+b²=c²) to answer this question by squaring the smallest 2 lengths then seeing if it equals the square of the 3rd length.

2²+3² = 4+9 = 13 ≠ 4²

12²+15² = 144+225 = 369 ≠ 20²

8²+9² = 64+81 = 145 ≠ 10²

9²+40² = 81+1600 = 1681 = 41²

Answer:

b

Step-by-step explanation:

Answer:

5/11

Step-by-step explanation:

Answer:

456 miles

Step-by-step explanation:

We can use proportions to solve

342 miles        x miles

------------   = --------------

6 hours           8 hours

Using cross products

342 * 8 = 6x

2736 = 6x

Divide by 6

2736/6 = x

456 miles

Answer:

Aron will drive 456 miles in 8 hours

Step-by-step explanation:

set up as proportion and cross multiply to solve:

6 hours/342 miles = 8 hours/x

x = 456

The first school sends 3 times as many German students as French students, so if they send 21 German students, they must also be sending 21/3 = 7 French students. The first school then sends a total of 21 + 7 = 28 students.

The other 3 schools send the same number of students. There are 4 schools, so the total number of students is 4 × 28 = 112.