given that a=2 and b=3, what is (ab)^2

Answers

Answer 1

Answer:

(ab)² = 36

Step-by-step explanation:

Plug in 2 for a and 3 for b:

(2·3)²

Multiply 2 and 3:

Square the number:

36

Answer 2
(ab)² is the same as writing:

(a x b)²

We know that a is 2 and that b is 3, so we substitute these into the expression:

(2 x 3)²

Then because of the Order of Operations we multiply INSIDE the brackets first:

(6)²

And when we square (²) a number we are simply multiplying it by itself:

(6)² = 6 x 6

So our final answer is:

6 x 6 = 36

Related Questions

2) What is 75% of $20.00? *
A. 1,500
B. $15.00
C. $0.15
D. $150.00

Answers

The answer is B $15.00

Answer:

It is $15.00

Step-by-step explanation:

It is B because A is not even money, C is fifteen cents which is not correct because the question is asking for 75% of $20.00, and finally D is incorrect because it is more than the amount of money asked in the question.

Ezra wants to buy a toy car that was 50% off. The original price is $4. How much will Ezra pay if he buys it during the sale?​

Answers

Answer:

She will pay $2.

Step-by-step explanation:

what have the same value as 15 percent of 20

Answers

Answer:

3

Step-by-step explanation:

cause its a pretty simple question

Find the lengths of the sides of the triangle PQR. P(3, â3, â3), Q(9, 0, 3), R(12, â6, â3) |PQ| = |QR| = |RP| = Is it a right triangle?

a. Yes
b. No
c. Is it an isosceles triangle?

Answers

Answer:

a. Yes

Step-by-step explanation:

Find the first six terms of the sequence defined by each of these recurrence relations and initial conditions.
a) an=6an-1, a0=2
b) an=a2n-1, a1=2
c) an=an-1+3an-2, a0=1 , a1=2
d) an=nan-1+n2 an-2 a0=1 ,a1=1
e) an= an-1+an-3 , a0=1, a1=2 , a2=0

Answers

Answer:

See explanation

Step-by-step explanation:

Solving (a):

[tex]a_n = 6a_{n-1}[/tex] where [tex]a_0 = 2[/tex]

n = 1

[tex]a_n = 6a_{n-1}[/tex]

[tex]a_1 = 6a_{1-1}[/tex]

[tex]a_1 = 6a_{0}[/tex]

Substitute 2 for [tex]a_0[/tex]

[tex]a_1= 6 * 2[/tex]

[tex]a_1= 12[/tex]

n = 2

[tex]a_n = 6a_{n-1}[/tex]

[tex]a_2 = 6a_{2-1}[/tex]

[tex]a_2 = 6a_{1}[/tex]

Substitute 12 for [tex]a_1[/tex]

[tex]a_2= 6 * 12[/tex]

[tex]a_2= 72[/tex]

n = 3

[tex]a_n = 6a_{n-1}[/tex]

[tex]a_3 = 6a_{3-1}[/tex]

[tex]a_3 = 6a_2[/tex]

Substitute 72 for [tex]a_2[/tex]

[tex]a_3= 6 * 72[/tex]

[tex]a_3= 432[/tex]

n = 4

[tex]a_n = 6a_{n-1}[/tex]

[tex]a_4 = 6a_{4-1}[/tex]

[tex]a_4 = 6a_{3}[/tex]

Substitute 432 for [tex]a_3[/tex]

[tex]a_4 = 6 * 432[/tex]

[tex]a_4 = 2592[/tex]

n = 5

[tex]a_n = 6a_{n-1}[/tex]

[tex]a_5 = 6a_{5-1}[/tex]

[tex]a_5 = 6a_4[/tex]

Substitute 2592 for [tex]a_4[/tex]

[tex]a_5 = 6 * 2592[/tex]

[tex]a_5 = 15552[/tex]

n = 6

[tex]a_n = 6a_{n-1}[/tex]

[tex]a_6 = 6a_{6-1}[/tex]

[tex]a_6 = 6a_{5}[/tex]

Substitute 15552 for [tex]a_5[/tex]

[tex]a_6 = 6 * 15552[/tex]

[tex]a_6 = 93312[/tex]

[tex]a_1= 12[/tex]   [tex]a_2= 72[/tex]   [tex]a_3= 432[/tex]   [tex]a_4 = 2592[/tex]   [tex]a_5 = 15552[/tex]   [tex]a_6 = 93312[/tex]

Solving (b):

[tex]a_n = a^2_{n - 1[/tex] where [tex]a_1 = 2[/tex]

We have

[tex]a_1 = 2[/tex] which serves as the first term

n =2

[tex]a_n = a^2_{n - 1[/tex]

[tex]a_2 = a^2_{2-1}[/tex]

[tex]a_2 = a^2_{1}[/tex]

Substitute 2 for [tex]a_1[/tex]

[tex]a_2 = 2^2[/tex]

[tex]a_2 = 4[/tex]

n = 3

[tex]a_3 = a^2_{3-1}[/tex]

[tex]a_3 = a^2_{2}[/tex]

[tex]a_3 = 4^2[/tex]

[tex]a_3 = 16[/tex]

n = 4

[tex]a_4 = a^2_{4-1}[/tex]

[tex]a_4 = a^2_3[/tex]

[tex]a_4 = 16^2[/tex]

[tex]a_4 = 256[/tex]

n =5

[tex]a_5 = a^2_{5-1[/tex]

[tex]a_5 = a^2_4[/tex]

[tex]a_5 = 256^2[/tex]

[tex]a_5 = 65536[/tex]

n = 6

[tex]a_6 = a^2_{6-1[/tex]

[tex]a_6 = a^2_{5[/tex]

[tex]a_6 = 65536^2[/tex]

[tex]a_6 = 4294967296[/tex]

[tex]a_1 = 2[/tex]   [tex]a_2 = 4[/tex]   [tex]a_3 = 16[/tex]   [tex]a_4 = 256[/tex]   [tex]a_5 = 65536[/tex]   [tex]a_6 = 4294967296[/tex]

Solving (c):

[tex]a_n=a_{n-1}+3a_{n-2};[/tex] [tex]a_0=1[/tex]  ; ;  [tex]a_1=2[/tex]

[tex]a_1=2[/tex] ---- First term

n = 2

[tex]a_n=a_{n-1}+3a_{n-2};[/tex] becomes

[tex]a_2=a_{2-1}+3a_{2-2}[/tex]

[tex]a_2=a_1+3a_0[/tex]

Substitute values for a1 and a0

[tex]a_2=2+3 * 1[/tex]

[tex]a_2=2+3[/tex]

[tex]a_2=5[/tex]

n = 3

[tex]a_n=a_{n-1}+3a_{n-2};[/tex] becomes

[tex]a_3=a_{3-1}+3a_{3-2}[/tex]

[tex]a_3=a_{2}+3a_{1}[/tex]

[tex]a_3=5+3 * 2[/tex]

[tex]a_3=5+6[/tex]

[tex]a_3=11[/tex]

n = 4

[tex]a_n=a_{n-1}+3a_{n-2};[/tex] becomes

[tex]a_4=a_{4-1}+3a_{4-2}[/tex]

[tex]a_4=a_{3}+3a_{2}[/tex]

[tex]a_4=11+3 * 5[/tex]

[tex]a_4=11+15[/tex]

[tex]a_4=26[/tex]

n = 5

[tex]a_n=a_{n-1}+3a_{n-2};[/tex] becomes

[tex]a_5=a_{5-1}+3a_{5-2};[/tex]

[tex]a_5=a_{4}+3a_3[/tex]

[tex]a_5=26+3 * 11[/tex]

[tex]a_5=26+33[/tex]

[tex]a_5=59[/tex]

n = 6

[tex]a_n=a_{n-1}+3a_{n-2};[/tex] becomes

[tex]a_6=a_{6-1}+3a_{6-2}[/tex]

[tex]a_6=a_{5}+3a_4[/tex]

[tex]a_6=59+3*26[/tex]

[tex]a_6=59+78[/tex]

[tex]a_6=137[/tex]

[tex]a_1=2[/tex]   [tex]a_2=5[/tex]   [tex]a_3=11[/tex]   [tex]a_4=26[/tex]   [tex]a_5=59[/tex]   [tex]a_6=137[/tex]

Solving (d):

[tex]a_n=na_{n-1}+n^2a_{n-2}[/tex];     [tex]a_0=1[/tex]; [tex]a_1=1[/tex]

[tex]a_1=1[/tex] --- First term

n = 2

[tex]a_n=na_{n-1}+n^2a_{n-2}[/tex] becomes

[tex]a_2=2 * a_{2-1}+2^2a_{2-2}[/tex]

[tex]a_2=2 * a_1+4*a_0[/tex]

[tex]a_2=2 * 1+4*1[/tex]

[tex]a_2=2 +4[/tex]

[tex]a_2=6[/tex]

n = 3

[tex]a_n=na_{n-1}+n^2a_{n-2}[/tex] becomes

[tex]a_3=3 * a_{3-1}+3^2 * a_{3-2}[/tex]

[tex]a_3=3 * a_{2}+9 * a_{1}[/tex]

[tex]a_3=3 * 6+9 * 1[/tex]

[tex]a_3=18+9[/tex]

[tex]a_3=27[/tex]

n = 4

[tex]a_n=na_{n-1}+n^2a_{n-2}[/tex] becomes

[tex]a_4=4*a_{4-1}+4^2*a_{4-2}[/tex]

[tex]a_4=4*a_{3}+16*a_{2}[/tex]

[tex]a_4=4*27+16*6[/tex]

[tex]a_4=204[/tex]

n = 5

[tex]a_n=na_{n-1}+n^2a_{n-2}[/tex] becomes

[tex]a_5=5 * a_{5-1}+5^2 * a_{5-2}[/tex]

[tex]a_5=5 * a_{4}+25 * a_{3}[/tex]

[tex]a_5=5 * 204+25 *27[/tex]

[tex]a_5=1695[/tex]

n = 6

[tex]a_n=na_{n-1}+n^2a_{n-2}[/tex] becomes

[tex]a_6=6 * a_{6-1}+6^2*a_{6-2}[/tex]

[tex]a_6=6 * a_{5}+36*a_{4}[/tex]

[tex]a_6=6 * 1695+36*204[/tex]

[tex]a_6=17514[/tex]

[tex]a_1=1[/tex]   [tex]a_2=6[/tex]   [tex]a_3=27[/tex]   [tex]a_4=204[/tex]   [tex]a_5=1695[/tex]   [tex]a_6=17514[/tex]

Solving (e):

[tex]a_n= a_{n-1}+a_{n-3};\ a_0=1; a_1=2; a_2=0[/tex]

First term: [tex]a_1=2[/tex]

Second Term: [tex]a_2=0[/tex]

n = 3

[tex]a_n= a_{n-1}+a_{n-3}[/tex] becomes

[tex]a_3= a_{3-1}+a_{3-3}[/tex]

[tex]a_3= a_{2}+a_0[/tex]

[tex]a_3= 0+1[/tex]

[tex]a_3= 1[/tex]

n = 4

[tex]a_n= a_{n-1}+a_{n-3}[/tex] becomes

[tex]a_4= a_{4-1}+a_{4-3}[/tex]

[tex]a_4= a_{3}+a_{1}[/tex]

[tex]a_4= 1+2[/tex]

[tex]a_4=3[/tex]

n = 5

[tex]a_n= a_{n-1}+a_{n-3}[/tex] becomes

[tex]a_5= a_{5-1}+a_{5-3}[/tex]

[tex]a_5= a_{4}+a_{2}[/tex]

[tex]a_5= 3 + 0[/tex]

[tex]a_5= 3[/tex]

n = 6

[tex]a_n= a_{n-1}+a_{n-3}[/tex] becomes

[tex]a_6= a_{6-1}+a_{6-3}[/tex]

[tex]a_6= a_{5}+a_{3}[/tex]

[tex]a_6= 3 + 1[/tex]

[tex]a_6= 4[/tex]

[tex]a_1=2[/tex]   [tex]a_2=0[/tex]   [tex]a_3= 1[/tex]   [tex]a_4=3[/tex]   [tex]a_5= 3[/tex]   [tex]a_6= 4[/tex]

In City​ A, 4,099 of 5,289 ​residents, have reliable​ high-speed internet access. In City​ B, 15,798 of 20,868 residents have reliable​ high-speed internet access. In which town are residents more likely to have reliable​ high-speed internet​ access?

Answers

Answer:

4,099 and 5,011

Step-by-step explanation:

The answer is 4,099 and 5,011

find the missing side lengths. leave ur answers as radicals

Answers

Because of the 45 45 90 theorem since the hypotenuse is 9√2 x and y are both 9


Explain to me in words how you would find the slope of this line and then tell me the answer and how u got it












......

Answers

Explanation:

The slope of the line is found by the method: rise/run

You calculate how much the slope rises(goes up) and divide it by run(goes horizontal).

One more thing to note is that: the slope is negative BECAUSE ITS DECREASING.

Your answer:   -3/2

How did the National Woman Suffrage Association (NWSA) differ from the American Woman Suffrage Association (AWSA)?

Answers

Answer:

The National Woman Suffrage Association advocated for a range of reforms to make women equal members of society, such as the right to own property, etc. The American Woman Suffrage Association lobbied state governments to enact laws granting or expanding women's right to vote in the United States.

Answer:

C: The NWSA wanted to address the voting rights of both women and formerly enslaved people.

Step-by-step explanation:

The NWSA wanted to address and justify the rights of both former slaves and women, while the AWSA only wanted to either help women or former slaves, not simultaneously.

A star patterned quilt has a star with the angels shown. What is the value of x? Explain your answer.

Answers

Answer:

81°

Step-by-step explanation:

x° and 24° are interior angles of a triangle that are opposite to an exterior angle of measure 105°. According to the exterior angle theorem of a triangle, thus:

[tex] x + 24 = 105 [/tex]

Subtract 24 from both sides

[tex] x + 24 - 24 = 105 - 24 [/tex]

[tex] x = 81 [/tex]

Value of x = 81°

what is the perimeter of a rectangle

Answers

Answer:

p=2 (l+w)

Step-by-step explanation:

What is an equation of the line that passes through the points (6, 4) and (4,1)?

Answers

Answer:

3/2 x-5

Step-by-step explanation:

Answer:

y=3/2x-5

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=1-4/4-6

m=-3/-2

m3/2

y-y=m(x-x1)

y-1=3/2(x-4)

y-1=3/2x-6

+1 +1

y=3/2x-5

will give branlist

The sum of two numbers is 107, the difference is 51. Find the numbers.

Answers

Answer:

Answer is 79 and 28

Step-by-step explanation:

Let two numbers be x and y.

x + y = 107. --> 1

x - y = 51 -->2

solving above equations,

2x = 158

x =79

y = 28

Please answer the 2 questions if you can? (This is my math from 8th grade)

Answers

Answer:

8.no answer A. x=8

Step-by-step explanation:

10.no answer B. x= -3

Answer:

8. (A) x = 8 , 10. (C.) x = 3

Step-by-step explanation:

Number 8 you could do 75 - 35 = 40

so what can you multiply 5 by (x) to get 40? you would multiply 5 by 8 or (x) and get 40

then add 35 + 40 to get 75 degrees which is the parallel angle to the other 75 degrees.

Number 10 you just want to get them to the same number.

so you would do ( 97 - 3 ) to get the ANSWER 87.

so x = 3

What is the result when the number 63 is decreased by 1.3%?

Answers

Answer:

61.7

Step-by-step explanation:

A package of 4 pairs of insulated socks costs $26.36. What is the unit price of the pairs of socks?
The unit price is $
per pair of socks

Answers

Answer: The unit price is $6.59 per pair of socks

Step-by-step explanation: 26.36. divided by 4 = 6.59

The answer is $6.59 for each unit.

A baseball is 1.75 times the size of a golf ball. If the golf ball is 1.68 inches in
diameter, what is the diameter of the baseball?

Answers

Answer:

2.94 in

Step-by-step explanation:

Lilly was shopping and saw the following prices on different packages of the same item

Answers

Answer:

What's the question?

Step-by-step explanation:

Write the hypothesis: If the pen is not blue then today is Friday.

a. The pen is not blue
b. If the pen is not blue
c. If today is Friday
d. today is not Friday

Answers

The answer is b. If the pen is not blue

HELPPPPP PLEASEEEEE!!!!!!!!!

Answers

The x intercept is (9/2,0) or (4.5,0). The y intercept is (0,-1):)

A card is drawn from a deck of 52 cards.
Find the probability of drawing a black 8:

Answers

Answer:

1/26

Step-by-step explanation:

There are two sets colors; red and black.

13 ranks, each rank has 2 black cards and 2 red

but there are only 2 black eights

2/52

Recall information from the previous task. A snack-size bag of carrots has a mean weight of 1.75 ounces and a
standard deviation of 0.1 ounce.
Kendra bought a snack-size bag of carrots to measure and found that her bag of snacks weighed 1.68 ounces. The Z-
score of Kendra's bag of carrots is -0.70.

Complete the statement interpreting the Z-score.
Kendra's bag of carrots is 0.70 —standard deviations—below—the mean weight.

Put the right answers up ^

Answers

Answer:

Standard Deviation and Below are, in fact, the right answer.

Step-by-step explanation:

Edge. :)

Answer:

The person above is right, they deserve brainliest.

-standard deviations

-below

ED2021

A ball has a diameter
8 inches what is the surface area

Answers

Answer:

diameter ÷ 2 = 8 ÷ 2 = 4

Step-by-step explanation:

What are the solutions of 3(x – 4)(2x - 3) = 0? Check all that apply. -4 -3 win w bo 3 m/N 3 4​

Answers

Answer:

Option (4) and Option (6)

Step-by-step explanation:

By the zero product property,

If (x - a)(x - b) = 0

Then, (x - a) = 0 ⇒ x = a

(x - b) = 0 ⇒ x = b

By following the zero product property,

From the given equation,

3(x - 4)(2x - 3) = 0

x - 4 = 0 ⇒ x = 4

2x - 3 = 0 ⇒ x = [tex]\frac{3}{2}[/tex]

Therefore, options (4) and (6) will be the correct options.

Answer:

4 and 6 :)

Step-by-step explanation:

edge

which of the following is not equivalent to the rational number 12/5
1) 2.4
2) 9/4
3) 2 2/5
4) 36/15​

Answers

Answer:

2) 9/4

Step-by-step explanation:

12/5 in decimal form is 2.4. As a mixed number, 12/5 is 2 2/5. And, 12/5 is just a reduced form of 36/15. So, the only answer it can be is answer 2: 9/4

Identify the coefficient in 0.50(m)-0.20(g)+9.00

Answers

Answer:

-0.2 + 0.5m + 9

Step-by-step explanation: simplify

Complete the equation that represents the total value of the nickels and p pennies

Answers

Answer:

Answers below

Step-by-step explanation:

Equation

Let's call:

p = number of pennies Janesa has in her pocket

n = number of nickels Janesa has in her pocket

She has 24 coins in total, thus:

[tex]p + n=24\qquad\qquad [1][/tex]

Since each penny is worth $0.01 and each nickel is worth $0.05, and Janesa has $1 in total:

[tex]0.01p+0.05n=1[/tex]

Multiplying by 100:

[tex]p+5n=100\qquad\qquad [2][/tex]

A. Completing the equation:

[tex]5n+p=100[/tex]

B.

From [1]:

[tex]p=24-n[/tex]

Substituting into [2]:

[tex]24-n+5n=100[/tex]

Simplifying:

[tex]24+4n=100[/tex]

Rearranging:

[tex]4n=100-24=76[/tex]

[tex]n=76 / 4= 19[/tex]

[tex]p=24-19=5[/tex]

B. There are 5 pennies in Janesa's pocket

C. Since each penny is worth $0.01, the total value of pennies is 5*$0.01=$0.05

The total value of the pennies is $0.05

D. The total value of the nickels is 19*$0.05 = $0.95

E. Jackson should say she has 19 nickels and 5 pennies

janesa has 24 coins in her pocket worth exactly $1.00. she tells her younger brother jackson that he can have the coins if he correctly guesses how many of each coin she has. she gives him the hint that there are only nickels and pennies. complete the equation that represents the total value of the nickels and p pennies 5( blank ) + p = 100 The type of coins that Janessa has = nickels and pennies.

Janessa has a total number of 24 coins

The sum of the nickels and pennies = $1.00

Let us represent the number of nickels as x

The number of pennies as y

Mr. Yen and Mrs. Barnes both have beautiful flower gardens. Mr. Yen has 7 rose bushes for every 3 lilac bushes. Mrs. Barnes has 9 rose bushes for every 4 lilac bushes. Whose garden has a higher lilac to rose ratio?

Answers

Answer:

Mrs Barnes has the highest

HELP PLEASE ASAP
Which of the following is not equivalent to the following expression 2x^2 -16

Answers

Answer:

Option C. 2(x + 8)

Step-by-step explanation:

To know which option is the correct answer, let us simplify each expression given in the options to know which will not result to 2x² – 16. This is illustrated below:

For Option A:

2x² + 4x – 4x – 16

= 2x² – 16

For Option B:

2(x² – 8)

Clear bracket

2x² – 16

For Option C:

2(x + 8)

Clear bracket

2x + 8

For Option D:

(4x² – 32) /2

4x²/2 – 32/2

2x² – 16

From the above illustration, option C did not result to 2x² – 16.

Therefore, option C is the answer to the question.

Determine weather the following is real or complex
i^6-122-7i^2

Answers

Answer:

Real

Step-by-step explanation:

i^6-122-7i^2

(i^2)^3-122-7i^2

(-1)^3-122-7×(-1)

-1-122+7

-123+7

-116

So the final answer is -116

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