If 3^x= 18, what is the value of 3^3x?

Answer:

Alan=$45

Deon=$15

Elsa=$22

Step-by-step explanation:

Let

Elsa=x

Deon=x-7

Alan=3(x-7)

Total=$82

x+(x-7)+3(x-7)=82

x+x-7+3x-21=82

5x-28=82

5x=82+28

5x=110

x=110/5

=22

Elsa=x=$22

Deon=x-7

=22-7

=$15

Alan=3(x-7)

=3(22-7)

=3(15)

=$45

Answer: A

Step-by-step explanation:

The equation given is y=1/2x-3. The y-intercept is the contant. It does not have any variable attached to it. The y-intercept is -3.

Answer:

A. -3

Step-by-step explanation:

The y intercept of a equation will always be the one that's has no variable beside it

Example: y=2x+5

In this equation, 5 is your y intercept

And 2 is your slope

Hope this helps!

The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120.

And the prime factorization of 120 is 2 x 2 x 2 x 3 x 5

In this exercise we must use the knowledge about prime factors to find the products of the number 12, in this way we find that:

[tex]2 * 2 * 2 *3 * 5[/tex]

First, we have to remember what prime factors are, like this:

Prime factors happen determinant of a number that happen, themselves, prime numbers. There exist many plan to find the prime determinant of any, but individual of the most prevalent search out use a prime determinant large plant enclosed in bark and shedding leaves.

So for the number 12, we find that this corresponds to:

[tex]1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120\\ 2 * 2 * 2 *3 * 5[/tex]

See morea about prime factors at brainly.com/question/10454590

Answer:

27.

Step-by-step explanation:

945 / 35 = 27. There are no remainders... Although you could potentially say that 0 is the remainder.

When 945 is divided by 35, the remainder is 0 and quotient is 27.

The divisor is 35 and the dividend is 945.

We have to find the quotient and remainder when 945 is divided by 35.

945/35

=27.

Hence, the quotient is 27 and remainder is 0.

To learn more on Division click:

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Answer:

a) (-2,-1) b) (-3,0) & (-1,0)

Step-by-step explanation:

For the first part, the turning point is simply where the graph curves. We can see that that happens on (-2, -1).

For the second part, the roots of the equation are simply when the graph crosses the x-axis. This happens twice, at (-3,0) and (-1,0)

Answer:

see explanation

Step-by-step explanation:

(a)

The turning point is where the curve reaches its lowest point before increasing again.

The coordinates of the turning point are (- 2, - 1 )

(b)

The roots are the points on the x- axis where the graph crosses.

The coordinates of the roots are (- 3, 0 ) and (- 1, 0 )

Answer:

y = -7x + 499

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope Formula: [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Step 1: Find slope m

m = (401 - 450)/(14 - 7)

m = -49/7

m = -7

y = -7x + b

Step 2: Find b

450 = -7(7) + b

450 = -49 + b

499 = b

Step 3: Rewrite equation

y = -7x + 499

Answer:

The first differences are 5, 9, 13, 17, and so the second differences are all 4.

Halving 4 gives 2, so the first term of the sequence is 2n^2.

Subtracting 2n^2 from the sequences gives 1,0,-1-2,-3 which has the nth term -n+2.

Therefore, the formula for this sequence is 2n^2 -n +2.

Answer:

2n^2 - n +2

Step-by-step explanation:

3,8,17,30,47

-------------

this is the final form I got after playing for a while:

.....

-------------

tested in excel and works:

1 2 3 4 5 6 7 8 9 10

3 8 17 30 47 68 93 122 155 192

Answer:

x = 5

Step-by-step explanation:

Step 1: Write equation

-3/4 + 2/5x = 7/20x - 1/2

Step 2: Subtract 7/20x on both sides

-3/4 + 1/20x = -1/2

Step 3: Add 3/4 to both sides

1/20x = 1/4

Step 4: Divide 1/20 on both sides

x = 5

Answer: Answer: The answer is A,C,E

A: 2/5x = 7/20 x+ 1/4

C: -3/4 = -1/20 x -1/2

E: -3/4 + 1/20 x= -1/2

Answer:

The balcony seat costs $9,  the orchestra seat costs $9 + $6 = $15.

Step-by-step explanation:

Let x is the cost/price of one balcony seat, in dollars.

Then the cost of one orchestra seat is (x+6) dollars, according to the condtion.

The total cost of tickets is  

250x + 400*(x+6) = 8250.

Simplify it step by step.

250x + 400x + 2400 = 8250,

650x = 8250 - 2400 = 5850  ====>  x = 5850/650 = 9.

Answer.  The balcony seat costs $9,  the orchestra seat costs $9 + $6 = $15.

Check.   9*250 + 15*400 = 8250.  Correct.

Answer:

C

Step-by-step explanation:

Let x = price of one balcony seat and y = price of one orchestra seat

Price of orchestra seat = Price of balcony seat + 6

Or y = x + 6

[tex]400 \times price \: of \: orchestra \: seat \: + \: 250 \times price \: of \: balcony \: seat \: = 8250[/tex]

Or 400y + 250x = 8250

Now that we have to two equations with two variables, we can use either substitution, elimination or graphing to find the prices of the seats.

I attached a picture of the graph. Remember since we set y as the price of the orchestra seat, the y coordinate in the point of intersection will be the price for one orchestra seat. This will be the same for the price of a balcony seat and the x coordinate.

Therefore, the price of one balcony seat is $9 and the price of one orchestra seat is $15.

Answer:

a > 8

Step-by-step explanation:

a-3>5

Add 3 to each side

a-3+3>5+3

a > 8

Answer:

a > 8

Step-by-step explanation:

a - 3 > 5

Add 3 on both parts.

a - 3 + 3 > 5 + 3

The a variable must be on one side.

a > 8

Answer:

y = 2/3x - 2

Step-by-step explanation:

I'm pretty sure this is asking about the slope intercept form, since you didn't give us the actual answers. If not, comment below. Slope intercept form follows the y = mx + b form, where m is the slope and b is the y-intercept. By plugging your givens in, you get y = 2/3x - 2

Answer:

25 students are in the class.

Step-by-step explanation:

There are 3/5 girls, and there are 10 boys, so there are 2/5 boys. 5/5 is the whole class, so here is how we would solve it: 2/5=10  3/5=15, 10+15=25.  Hope this helps!

Answer & Step-by-step explanation:

First, we must evaluate each number so we can see the value of them.

π = 3.141592...

√10 = 3.162277...

-5/2 = -2.5

10/3 = 3.3333....

-1/4 = -0.25

Now, let's order these numbers from greatest to least just as the problem has asked.

1st: 10/3

2nd: √10

3rd: π

4th: -1/4

5th: -5/2

Answer:

  the can with the 5-inch radius will cost more

Step-by-step explanation:

The cost will be given by the formula ...

  cost = 1.40 × (top & bottom area) + 0.90 × (lateral area)

In terms of radius and height the areas are ...

  top & bottom area = 2πr²

  lateral area = 2πrh

So, the total cost of a can with radius r and height h is ...

  c(r, h) = 1.40·2πr² +0.90·2πrh

Filling in the given values and doing the arithmetic, we find the costs to be ...

  c(4, 5) = $253.84

  c(5, 4) = $333.01

The cost of the can with the 5-inch radius is the greatest.

Answer:

The cylinder with radius of 5 inches and height of 4 inches costs more to manufacture.

Step-by-step explanation:

First Can:

Top and Bottom Surface Area = 2(pi(4)^2) = 2(16pi) = 32 pi = 100.53 square inches

Cost for top and bottom surface area = 1.40 * 100.53 = $140.74

Curved Surface Area = 2pi*r*h = 2*pi*4*5 = 40 pi = 125.66 square inches

Cost for Curved Surface Area = 125.66 * 0.90 = $113.10

Total Cost = $140.74 + $113.10 = $253.84

Second Can

Top and Bottom Surface Area = 2(pi(5)^2) = 2(25pi) = 50 pi = 157.08 square inches

Cost for top and bottom surface area = 1.40 * 157.08 = $219.91

Curved Surface Area = 2pi*r*h = 2*pi*5*4 = 40 pi = 125.66 square inches

Cost for Curved Surface Area = 125.66 * 0.90 = $113.10

Total Cost = $219.91 + $113.10 = $333.01

So, the cylinder with radius of 5 inches and height of 4 inches costs more to manufacture.

Answer:

-2

Step-by-step explanation:

8--2=8+2=10

7+-2=7-2=5

5x2=10.

Answer:

15, 36, 39

Step-by-step explanation:

Use the Pythagorean theorem.

a² + b² = c²

2² + 3² ≠ 13²

4² + 6² ≠ 10²

9² + 12² ≠ 18²

15² + 36² = 39²

Answer:

Step-by-step explanation:

[tex]Lets -test-using ;\\Pythagoras -Theorem=\\a^2+b^2=c^2\\\\(A.) 2,3,13\\2^2 +3^2 = 13^2\\13 = 169\\WRONG\\\\(B.) =4,6,10\\4^2+ 6^2 =10^2\\16+ 36 = 100\\52 = 100\\WRONG\\(C.) 9,12,18\\9^2+12^2=18^2\\225 = 324\\WRONG\\\\(D.) 15 , 36 ,39\\15^2 +36^2 = 39^2\\1521=1521\\\\CORRECT[/tex]

Answer:

Step-by-step explanation:

(f+g)x=(6^(x)-4)+(12-x)

(f+g)x=6^(x)-4+12-x

(f+g)x=6^(x)-4+12-x

(f+g)x=6^(x)+8-x

(f+g)x=6^(x)-x+8

This is option 2 or the one you picked

Answer: b and d

Step-by-step explanation:

On edge

Answer:

(a)

[tex]r =\lim_{n \to \infty} |\frac{\frac{2(n+1)!}{2^{2(n+1)}}}{\frac{2n!}{2^{2n}}}| = \lim_{n \to \infty} \frac{n+1}{4} = \infty[/tex]

(b)

if r<1, then it converges absolutely

if r>1, then it diverges

if r=1, then the test is inconclusive

Step-by-step explanation:

The ratio test is:

[tex]\lim_{n \to \infty} |\frac{x[n+1]}{x[n]}| = L[/tex]

if L<1, then it converges absolutely

if L>1, then it diverges

if L=1, then the test is inconclusive

I'm assuming that they used r instead of L. Anyway, to do the ratio test, you plug in n+1 into the equation and make that numerator.

Then you plug in n into the same equation and make that your denominator.

In our case, our equation is [tex]\frac{2n!}{2^{2n}}[/tex].

So lets plug in n+1 and make that our numerator.[tex]\frac{2(n+1)!}{2^{2(n+1)}}[/tex]

Now lets plug in n and make that our denominator. [tex]\frac{2n!}{2^{2n}}[/tex]

Now set up the ratio test.

[tex]\lim_{n \to \infty} |\frac{x[n+1]}{x[n]}| = L[/tex]

[tex]\lim_{n \to \infty} |\frac{\frac{2(n+1)!}{2^{2(n+1)}}}{\frac{2n!}{2^{2n}}}| = L[/tex]

if you simplify this, you would get (view image for the steps)

[tex]\lim_{n \to \infty} |\frac{\frac{2(n+1)!}{2^{2(n+1)}}}{\frac{2n!}{2^{2n}}}| = \lim_{n \to \infty} \frac{n+1}{4} = \infty[/tex]

L = infinity, which is > 1, therefore this series diverges

(a). The value of r from ratio test is greater than 1.

(b). The value of r tell about that the given series is converges or diverges.

The ratio test is given as,

             [tex]\lim_{n \to \infty} (\frac{x(n+1)}{x(n)} )=r[/tex]

if [tex]r<1,[/tex] then series converges absolutely

if [tex]r>1,[/tex] then series diverges

if [tex]r=1,[/tex] then the test is inconclusive

Given infinite series is,

              [tex]x(n)=\frac{2n!}{2^{2n} }[/tex]

   [tex]\lim_{n \to \infty} \frac{\frac{2(n+1)!}{2^{2(n+1)} } }{\frac{2n!}{2^{2n} } } = \lim_{n \to \infty} \frac{n+1}{4}=\infty=r[/tex]

Here, Observed that value of r is greater than 1.

Thus, the given series is diverges.

Learn more:

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Answer:

153.938 meters

Step-by-step explanation:

The area of a circle is Pi * (Radius)^2. The radius is the diameter/2.

14/2=7

Pi * (7)^2

153.938 m

Answer:

Step-by-step explanation:

[tex]d =14\\Area = \pi \times r^2\\r = d/2\\r = 14/2\\r= 7\\A = 22/7 \times 7^2\\\frac{22}{7} \times 49\\Simplify\\\frac{22}{1} \times 7\\Area =154[/tex]

[tex]A =\frac{1}{4} \pi \times d^2\\A = \frac{1}{4} \times \frac{22}{7} \times14^2\\A = 1/4\times22/7\times196\\A = 154cm^2[/tex]

Find the age of the mammal hide to the nearest

The answer is 3425.

Be safe!

-Eli

:))

An: The person above is wrong the answer is actually 2744.

Step-by-step explanation:

Answer:

Option (E)

Step-by-step explanation:

Expression given in the attachment,

[tex]x-\frac{15}{x}=2[/tex]

By multiplying with x on both the sides of the given equation,

x² - 15 = 2x

x² - 2x - 15 = 0

x² - 5x + 3x - 15 = 0

x(x - 5) + 3(x - 5) = 0

(x + 3)(x - 5) = 0

(x + 3) = 0

x = -3

And (x - 5) = 0

x = 5

Therefore, x = -3, 5 are the solutions of the given equation.

Option (E) will be the answer.

Answer:

0

Step-by-step explanation:

if you add both of them together, they cancel out and form the answer 0.

have a great day

Answer:

Hello the answer will be 0

They cancel out with eachother

Step-by-step explanation:

Answer:

[tex]x = \frac{11}{c}[/tex] (x = 11/c)

Step-by-step explanation:

cx - 4 = 7

cx = 7 + 4

cx = 11

[tex]x = \frac{11}{c}[/tex] (x = 11/c)

Hope this helps! :)

Answer:

x=11/c

Step-by-step explanation:

In order to solve for x, we must get x by itself.

cx-4=7

4 is being subtracted from cx. The inverse of subtraction is addition. Add 4 to both sides of the equation.

cx-4+4= 7+4

cx= 7+4

cx= 11

x is being multiplied by c. The inverse of multiplication is division. Divide both sides of the equation by c.

cx/c=11/c

x= 11/c

The equation cx-4=7 solved for x is: x= 11/c

Answer:

Its B!..not much help lol but hope u get it right.

Answer: 33 degrees

Step-by-step explanation: Angle x=angle m

Answer:

the triangle on the left is named XYZ

the triangle on the right is named MNL

therefore ∠X ≅ ∠M, ∠Y ≅∠N, and ∠Z ≅ ∠L

since ∠X = 33º, then ∠M = 33º

hope this helps :)

Answer: B ¥58,110

Step-by-step explanation:

$1 = ¥116.22

$500 = ?

= 500 x 116.22

= 58,110

Answer:

B

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

9

you can always use your fingers or make circcles to count

Answer:9

Step-by-step explanation: how many fingers do you have? 10 Right? so you could cont five on one hand and four on the other to get nine.

Answer:

[tex] \pm \frac{3}{7} [/tex]

Step-by-step explanation:

[tex] \huge \sqrt{ \frac{9}{49} } = \pm \frac{3}{7} \\ [/tex]