Find the first four terms of the sequence using the recursive formula. ​

Answer:

(B) The exponents should be subtracted by the quotient rule of exponents

Step-by-step explanation:

Let's examine how this was solved.

[tex](\frac{4^2 4^3}{4^{-5}})^2[/tex]

He first rose everything in the parentheses to the second power, which is just multiplying all the exponents by 2. This is correct.

[tex]\frac{4^4 4^6}{4^{-10}}[/tex]

He then combined the numerator exponents. Exponent rules say that [tex]a^b \cdot a^c = a^b+c[/tex], so he should have ended up with [tex]4^{10}[/tex], which he did. This is correct.

[tex]\frac{4^{10}}{4^{-10}}[/tex]

Now, what he did in the final step is wrong. He added the exponents. However, exponent rules tell us that when we have [tex]\frac{a^b}{a^c}[/tex], it equals [tex]a^{b-c}[/tex].

[tex]10 - (-10) = 10+10 = 20[/tex]

So the final answer should have been [tex]4^{20}[/tex]

Hope this helped!

Answer:

Slope: [tex]-\frac{1}{2}[/tex]

y-intercept: [tex](0,2)[/tex]

Look below for graph.

Step-by-step explanation:

[tex]y=2-\frac{1}{2}x\\y=\frac{-1}{2}x+2[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

Answer:

Step-by-step explanation:

5x - 3 = 2(x +2)^2

Don't try this. It is a double ugly equation. But you can see that you use the power property. You use the distributive property. You use addition and subtraction and division and multiplication to solve it.

Answer:

[tex]2\sqrt[4]{3}[/tex]

Step-by-step explanation:

[tex]48^\frac{1}{4} = \sqrt[4]{48}[/tex]

Expanding [tex]\sqrt[4]{48}[/tex] gives [tex]\sqrt[4]{2*2*2*2*3}[/tex] which is equal to [tex]2\sqrt[4]{3}[/tex]

Answer:

a) -12

b) -4

c)-2

Step-by-step explanation:

a) pattern is minus 5

b) pattern is minus 8

c) pattern is plus 4

Answer:

Simplify the expression.

−16x

Step-by-step explanation:

Answer:

x=45

Step-by-step explanation:

I did it and got it right

Answer:

the answer is 8 very easy and very simple have a great

day ☺️

Answer:

eliminated, the bedtime increases by one minute. ... Description: This activity requires students to tell time to the half-hour (e.g. 4:00, 5:30, 11:30).

Step-by-step explanation:

Answer:

I think it's A) <1 and <2

Step-by-step explanation:

I am not 100% on this, but Adjacent angles are two angles that have a common vertex and a common side but do not overlap. In the figure, ∠1 and ∠2 are adjacent angles. They share the same vertex and the same common side.

Answer:

Devon, Tasha, Liza, Evan

Step-by-step explanation:

Devon is the fastest with 6.0999

Tasha is second fastest with 6.168

Liza is third fastest with 6.188

and Evan is the slowest with 6.2.

Answer:

≠

Step-by-step explanation:

4[6(2+3)] _____ 125 - 5 * 1

4[6(5)] _____ 125 - 5 * 1

4[30] _____ 125 - 5 * 1

120 _____ 125 - 5 * 1

120 _____ 125 - 6

120 _____ 119

120 ≠ 119

Answer:

119.9

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

C and D

Step-by-step explanation:

i just took the quiz

From the given options, only x² - 4x +4 and x² +10x +25 are perfect square trinomials. The correct options are the third and forth options - x² - 4x +4 and x² +10x +25

Recal that,

An expression is a perfect square trinomial if it takes the form ax² + bx + c and satisfies the condition b² = 4ac

a = 1, b = 0, c = -9

0² ≠ 4(1)(-9)

0 ≠ -36

∴ x² - 9 is NOT a perfect square trinomial

a = 1, b = 0, c = -100

0² ≠ 4(1)(-100)

0 ≠ -400

∴ x² - 100 is NOT a perfect square trinomial

a = 1, b = -4, c = 4

(-4)² = 4(1)(4)

16 = 16

∴ x² - 4x +4 is a perfect square trinomial

a = 1, b = 10, c = 25

(10)² = 4(1)(25)

100 = 100

∴ x² +10x +25 is a perfect square trinomial

a = 1, b = 15, c = 36

(15)² ≠ 4(1)(36)

225 ≠ 144

∴ x² - 4x +4 is a NOT perfect square trinomial

Hence, from the given options, only x² - 4x +4 and x² +10x +25 are perfect square trinomials. The correct options are the third and forth options - x² - 4x +4 and x² +10x +25

Learn more on Determining perfect square trinomials here: https://brainly.com/question/2514855

x = total age of boys

x / 30 = 11yrs

Multiply both sides by 30

x = 330

y = total age of girls

y / 20 = 12

Multiply both sides by 20

y = 240

(240 + 330) / 50 = 11.4 yrs

The average age of the whole class = 11.4 years.

A class has 30 boys and 20 girls.

The average age of boys and girls is 11 and 12 respectively.

The average age of the whole class.

Boys = No. of boys × Age

Boys = 30 × 11 = 330

Girls = No. of girls × Age

Girls = 20 × 12 = 240

Average Age = Boys + Girls / Total no. of boys and girls

Average Age = 330 + 240 / 50

Average Age = 570 / 50

Average Age = 11.4

Average age of of the whole class is 11.4 .

Answer:

C

Step-by-step explanation:

f(0)= 3 - 6 (0)

f(0)= 3 - 0

f(0)= 3

Answer:

9x-4y-87

Step-by-step explanation:

2x-4y+7x-87

9x-4y-87

Answer:

9x-4y-87

Step-by-step explanation:

7x+2x=9x

-4y has no similar variable

-87 has no similar variable

therefore the answer is 9x-4y-87

Answer:

x=4.5

Step-by-step explanation:

pm is equal to mr so you can set the equations to equal each other and solve

Answer: mixed number 327 1/3

Step-by-step explanation:

5892/ 1÷18/ 1=327 1/3

put each number over one to turn it into a fraction.

The answer in fraction form is 982/3 or 327 (1 / 3).

Given,

5892 ÷ 18

We need to divide it in fraction form.

Suppose we have two fractions:

a/b and c/d

Divide a/b by c/d

Now,

a/b ÷ c/d

a/b x d/c

Divide 5892 ÷ 18 in fraction form.

Write 5892 and 18  in fraction form:

- 5892/1

- 18/1

Now,

= 5892 / 1 ÷ 18/1

= (5892/1) / (18/1)

= (5892/1) x (1/18)

= (5892 x 1)  / (1 x 18)

= 5892 / 18

Write it in 6 multiples

= (6 x 982) / (6 x 3)

6 gets cancelled

= 982 / 3

We can write it in mix fraction.

= 327 (1 / 3)

Since,

3 x 327 = 981

981 + 1 = 982

Thus the answer in fraction form is 982/3 or 327 (1 / 3).

Learn more about dividing in dividing a fraction by a fraction here:

https://brainly.com/question/14582918

#SPJ2

Answer:

6,000 feet

Step-by-step explanation:

Answer: 6.84 x 10^-3

Step-by-step explanation:

Answer:

[tex]6.84 \times 10 {}^{ - 3} \: \: \: is \: the \: scientific \: notation.[/tex]

Answer:13

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

let sanjeevs no of oranges be x

rajeevs no of oranges=3x

total=4x=28

x=28/4

=7

sanjeevs oranges=7

while rajeevs oranges=3*7

=21

Answer:

- 1/3

Step-by-step explanation:

-2/-3(-4)=

-2/12=

-1/3

Answer:

Because a range cannot have more than one domain number

Step-by-step explanation:

17 is in the domain twice

Answer:

  x ≥ 6; see below for a graph

Step-by-step explanation:

First inequality

  7x -6 > 8

  7x > 14 . . . . . . add 6

  x > 2 . . . . . . . .divide by 7

Second inequality

  3x+4 ≥ 22

  3x ≥ 18 . . . . . . subtract 4

  x ≥ 6 . . . . . . . . divide by 3

The values of x that will satisfy both inequalities are x ≥ 6. (All of those values are > 2.)

The solution to the inequalities is x ≥ 6.

__

Your graph will have a solid dot at x=6, indicating 6 is part of the solution set. It will be shaded to the right, with an arrow at the right end.

The answer is Sometimes

Answer:

17 ft.

Step-by-step explanation:

just add all the values to get the perimeter.

Perimeter = 3ft +4+3+4+3

=17 feet

Therefore.., 17ft is the perimeter..

Answer:

4

Step-by-step explanation:

log(50×50)×log(2×2)

log (2500)×log(4)

log(2500×4)

log(10000)

log(10^4)

=4