Select all solutions that are equivalent to the following expression 3^-5 x 3^2

Answer:

D

Step-by-step explanation:

7x+12+40=11x+6

7x+52=11x+6

48=4x

12=x

Answer:

12

Step-by-step explanation:

(11x + 6)° = (7x + 14)° + 40°

11x + 6 = 7x + 14 + 40

4x = 48

x = 12

Answer:

Step-by-step explanation:

1) For complex numbers addition, add the real parts and imaginary party separately.

(2 +5i) - (-6 + 3i) = 2 + 5i + 6 - 3i

                          = 2+ 6 + 5i - 3i

                          = 8 + 2i

2)Use FOIL method

(-4 +2i)(3 - 7i) = -4*3 + (-4)*(-7i) + 2i* 3  + (2i)*(-7i)

                    = -12 + 28i + 6i -14i²                 {i² = -1}

                   = -12 + 28i + 6i - 14*(-1)

                   = -12 + 28i + 6i + 14             {Combine like terms}

                 = -12 + 14 + 28i + 6i

                 = - 2 + 34i

3)Hint:

[tex]a^{mn} = (a^m)^{n}\\\\a^{m}*a^{n}= a^{m+n}[/tex]

[tex]\sqrt[4]{144x^{12}y^{7}} =\sqrt[4]{2*2*2*2*3*3*x^{3*4}*y^{4+3}} \\\\=\sqrt[4]{2^{4}*9*(x^{3})^{4}*y^{4}*y^{3}}\\\\=2*x^{3}*y\sqrt[4]{9y^{3}}\\\\ =2x^{3}y\sqrt[4]{9y^{3}}[/tex]

4)

[tex]\sqrt[3]{\frac{320a^{10}}{27b^{6}}}= \sqrt[3]{\frac{8*8*5a^{3+3+3+1}}{3*3*3b^{3+3}}}\\\\=\sqrt[3]{\frac{2^{3}*2^{3}*5a^{3}*a^{3}*a^{3}*a}{3^{3}b^{3}*b^{3}}}\\\\=\frac{2*2*a*a*a}{3b*b}\sqrt[3]{\frac{5a}{1}}\\\\=\frac{4a^{2}}{3b^{2}}\sqrt[3]{5a}[/tex]

5) 4x² + 28x + 49 = 4x² + 14x +14x + 7*7

                            = 2x(2x + 7) + 7(2x + 7)

                            =(2x+ 7)(2x + 7)

6) 2x² + 3x - 20 =  2x² +8x - 5x - 5 *4

                         =2x(x + 4) - 5(x + 4)

                       = (x + 4)(2x - 5)

Answer:

There were 130 hamburgers sold on Friday

Step-by-step explanation:

Assume that the number of hamburgers sold is x

∵ The number hamburgers sold = x

∵ The number of cheeseburgers sold was two times the number of

   hamburgers sold

∴ The number of cheeseburgers sold = 2x

∵ On Friday, the shop sold a combined total of 390 hamburgers and

    cheeseburgers

→ Add x and 2x, then equate the sum by 390

∴ x + 2x = 390

→ Add the like terms

∴ 3x = 390

→ Divide both sides by 3

∵ [tex]\frac{3x}{3}[/tex] = [tex]\frac{390}{3}[/tex]

∴ x = 130

∵ x represents the number of hamburgers

∴ There were 130 hamburgers sold on Friday

Answer:

4.666 repeat robuxxx vegtebles hulk

Answer:

X=2

Step-by-step explanation:

-2x+10=12-3x

-2x+3x=12-10

X=2

Answer:

3 in by 4 in

Step-by-step explanation:

The blueprint scale is 1 in : 6 ft

This means

1 in : 72 in

1 : 72

For the living room

18 ft by 24 ft can be written as : 18/6 by 24/6

3 in by 4 in -------- units in inches where 1 in : 6 ft

Answer:

The answer is 18 x 24

Step-by-step explanation:

Answer:

No

Step-by-step explanat

Answer:

5.25

Step-by-step explanation:

15% × 35 =

(15 ÷ 100) × 35 =

(15 × 35) ÷ 100 =

525 ÷ 100 =

5.25

Multiply people per square km by total square km.

45 x 33 = 1,485 total people.

Answer:

B. It will be the tens place because 6 is greater than 3.

Step-by-step explanation:

Since the question said "quotient," then I believe we have 362 ÷ 6 and not "362 + 6."

If we work on the quotient we have

[tex]60\frac{1}{3}[/tex]

Obviously, the first digit in the quotient is 6 and it takes the place of tens.

Looking at the options, option B fits the most because 6 is actually greater than 3.

Therefore, the answer is option B, It will be the tens place because 6 is greater than 3.

Answer:

x-(-1)=6

-x=6

-x/-1 6/-1

x=-6

Answer:

Therefore, the solution of the system of equations will be:

[tex]x=5,\:y=-1[/tex]

Step-by-step explanation:

Given the system of equations

[tex]x-y=6;\:y=-1[/tex]

solving

[tex]\begin{bmatrix}x-y=6\\ y=-1\end{bmatrix}[/tex]

[tex]\mathrm{Subsititute\:}y=-1[/tex]

[tex]\begin{bmatrix}x-\left(-1\right)=6\end{bmatrix}[/tex]

[tex]\begin{bmatrix}x+1=6\end{bmatrix}[/tex]

Isolate x for [tex]x+1=6[/tex]

[tex]x+1=6[/tex]

[tex]x=5[/tex]

Therefore, the solution of the system of equations will be:

[tex]x=5,\:y=-1[/tex]

Answer:

6.25 dont fake ur grade plz

Step-by-step explanation:

Answer:

3 oz

Step-by-step explanation:

Let x represent the number of oz. of the medal with 40% gold:

Set up an equation and solve for x:

0.4x + 7(0.9) = 0.75(x + 7)

0.4x + 6.3 = 0.75x + 5.25

6.3 = 0.35x + 5.25

1.05 = 0.35x

3 = x

So, you will need 3 oz. of the metal with 40% gold

Answer:

are u indian ¿

:).... ........ :)

Answer:

30 dollars

Step-by-step explanation:

multiply 5 by 6 and its 30

Answer:

[tex]7+w \ge 21[/tex]

remove the line under the arrow

Answer:

w>14

Step-by-step explanation:

"sum" means adding together. So, the sum of 7 and w would be 7+w. The equation states that this sum is greater than 21, so:

7+w>21

if you want a simplified version, subtract 7 from both sides to get w>14

Answer:

I'm going to answer in the comments so no one steals this answer

Step-by-step explanation:

Answer:

divide

50 divided by 2000

Step-by-step explanation:

Answer:

40 meters per minute

Step-by-step explanation:

Answer:

232.00 hahshdoejnchbw

Answer:

They each get 1/8 of the brownie

Step-by-step explanation:

Hurry up! don't want you getting a zero!

Answer:

8.4375

Step-by-step explanation:

multiply the sides by eachother

it helps me to translate it to decimal format :)

Answer:

20 times

Step-by-step explanation:

30/6 = $5 per time

100/5 = 20 times

Answer:

B

Step-by-step explanation:

The tangent of an angle is the ratio of the opposite side to the adjacent.

With respect to Angle A, the opposite side is 12.

And the adjacent side is 5.

Therefore:

[tex]\displaystyle\tan(A)=\frac{\text{opp}}{\text{adj}}=\frac{12}{5}[/tex]

The answer is B.

Answer:

Step-by-step explanation:

CG = [tex]\frac{2}{3}[/tex] CF

8x = [tex]\frac{2}{3}[/tex] (9x + 6)

8x = 6x + 4

2x = 4

x = 2

Based on the information given about the combination, the number of different parts of fruits that can be selected from the bowl will be 6.

Since the bowl contains an apple, a plum, a pear, and a banana, the different pairs of fruit that can be selected from the bowl will be 4C2.

We can solve this further which will be:

= 4C2

= 4! /2! (4 - 2)!

= 4! / 2!2!

= (4 × 3 × 2)/ 2 × 2

= 24/4

= 6

Therefore, 6 different pairs of fruit can be selected.

Learn more about combinations on:

https://brainly.com/question/11732255

Answer:

4p^3 (4p + 1)

Step-by-step explanation:

All we can do with this equation is factor it.

16p^4 + 4p^3  

When we look at the coefficients, there is a common factor of 4 with 16 and 4. The p's are also common factors, and we can take out a common factor of x^3. We can combine these common factors and take them out of the equation at the same time.

4p^3 (4p + 1)

Answer:

The answer is "confidence interval".

Step-by-step explanation:

The trust period is a set of values that may include confidence intervals unspecified. Whenever a representative selection is collected numerous times, its sample parameter would be a certain percentage of its confidence intervals. It shows how likely the position of a statistical parameter will be estimated.