Evaluate the expression 4q(q + 3w)^2 when q = 2 and w = 3

Step-by-step explanation:

1) [tex](-4)^2{\cdot}(-4)[/tex]

We know that, [tex]a^x{\cdot}a^y=a^{x+y}[/tex]

[tex](-4)^2{\cdot}(-4)=(-4)^{2+1}\\\\=(-4)^3\\\\=64[/tex]

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

Again using above property,

[tex](-2)^5{\cdot} (-2)^3=(-2)^8\\\\=256[/tex]

3) [tex]5^{-3}[/tex]

We know that,

[tex]a^{-x}=\dfrac{1}{a^x}[/tex]

So,

[tex]5^{-3}=\dfrac{1}{5^3}\\\\=\dfrac{1}{125}[/tex]

4) [tex]2.5^2=2.5\times 2.5\\\\=6.25[/tex]

Hence, this is the required solution.

Answer:

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Step-by-step explanation:

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Answer:

13.25 years

Step-by-step explanation:

Take the number of booklets and divide by the number of booklets per year

159/12

13.25 years

Answer:

48.4 volts

Step-by-step explanation:

by using the formula :

V = I × R, we get :

V = 4.0 × 12.1 = 48.4 volts

Answer:

________________________________

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Answer:

Hope this helps!

Please mark brainliest!

x-intercept(s):  

(1/log(36),0)

y-intercept(s):

(0,−1)

BD = 2x-4

But it's also BE - CE + CD

BE is 3x-1

CE is 2x-3

CD is 2

so

BD = 3x-1 -(2x-3) +2

simplified

BD = 1x +4

since BD = BD (obviously), we can also say that the righthand sides of the two equation must be equal

2x -4 = 1x +4

let's solve for x and that put it into either of the 2 equations.

2x -4 = 1x +4

subtract 1x on both sides

x -4 = 4

add 4 on both sides

x = 8

substitute x for its value in 2x -4 = 1x +4

(this way we double check BD in two expressions at once. the equation should come out true, meaning same value for BD in each expression. both sides should be equal).

2*8 -4 = 1*8 +4

12 = 12

seems true

BD is safely 12

Step-by-step explanation:

it might be the last one

may it helped u

Pen : $3

Pencil : $0.50

Answer:

f⁻¹(x) = (x+1)/2

Step-by-step explanation:

Given the function f(x) = 2x - 1, we are to find its inverse;

Let y = f(x)

y = 2x - 1

Replace y with x

x = 2y - 1

Make y the subject of the formula

2y = x + 1

Divide both sides by 2

2y/2 = (x+1)/2

y = (x+1)/2

Replace y with f⁻¹(x)

f⁻¹(x) = (x+1)/2

Hence the required inverse is (x+1)/2

Answer:

The answer is D (6).

hope this helps!

Answer:

Cecily's claim is true for all values of b.

Step-by-step explanation:

Cecily's claim is true for all values of b.

If she graphs y = mx, and then y = mx + b, and then y = mx + c, and so on, she will find that her graphs are all straight lines that are parallel to each other (as they will all have the same slope, m).

Answer:

i can not get the answer

Answer:

Step-by-step explanation:

for the right side :

its a triangular prism and the volume is 4 x 8 x 10 = 320.

the SA is 10x4 divided by 2 x 2which is just 40.

8x5x2= 80 and

10x10= 100,  so

the SA of the right figure is 220 in^2

Answer:

A) 2 inches

Step-by-step explanation:

Answer: 14.99

Step-by-step explanation:C=2πr

d=2r

Solving ford

d=C

π=47.1

π≈14.9924

Answer: 237,500 total decrease

Step-by-step explanation:

Answer:

The percent decrease is 80%. or C.

Step-by-step explanation:

Hope this helps! (:

Answer:

16.

Step-by-step explanation:

n - 7 = 9

Add 7 to both sides

n = 9 + 7 = 16.

Answer:

16

Step-by-step explanation:

Given

n - 7 = 9 ( add 7 to both sides )

n = 16

Answer:

b . may be

may it helped u ....

Answer:

slope(m)=6

Step-by-step explanation:

(2 , -1)=(x1 , y1)

(3 , 5)=(x2 , y2)

use formula : y2 - y1/x2 - x1

=5-(-1)/3-2

=5+1/1

=6/1

=6

therefore slope of a line is 6.

Answer:

3/4

Step-by-step explanation:

2 problems consist 8 choices of answers.

the events for the correct answer are 2

and the events for incorrect answer are 6

so, the probability that she answered neither of the problems correctly = 6/8 = 3/4

Answer:

h = 6.05 cm

Step-by-step explanation:

Volume of a cylinder = πr²h

Where,

Pi, π = 3.14

Radius, r = diameter/2 = 6 cm/2

= 3 cm

Height, h = ?

Volume if the cylinder = 171 c ³

Volume of a cylinder = πr²h

171 = 3.14 * 3² * h

171 = 3.14 * 9 * h

171 = 28.26 * h

171 = 28.26h

h = 171/28.26

h = 6.0509554140127

Approximately,

h = 6.05 cm

Answer:

two times

Step-by-step explanation:

ΔM:  let 'h' = height; let '4b' = base

ΔN:  let 'h/2' = height; let 'b' = base

Area (ΔM) = 2bh

Area (ΔN) = bh

Answer:

o really sis/bro hsgsmhsndjd

Answer:

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 8214808651 3282306647 0938446095 5058223172 5359408128 4811174502 8410270193 8521105559 6446229489 5493038196

Step-by-step explanation:

1 4 1 5 9 2 6 5 3 5 8 9 7 9 3 2 3 8 4 6 2 6 4 3 3 8 3 2 7 9 5 0 2 8 8 4 1 9 7 1 6 9 3 9 9 3 7 5 1 0 5 8 2 0 9 7 4 9 4 4 5 9 2 3 0 7 8 1 6 4 0 6 2 8 6 2 0 8 9 9 8 6 2 8 0 3 4 8 2 5 3 4 2 1 1 7 0 6 7 9 8 2 1 4 8 0 8 6 5 1 3 2 8 2 3 0 6 6 4 7 0 9 3 8 4 4 6 0 9 5 5 0 5 8 2 2 3 1 7 2 5 3 5 9 4 0 8 1 2 8 4 8 1 1 1 7 4 5 0 2 8 4 1 0 2 7 0 1 9 3 8 5 2 1 1 0 5 5 5 9 6 4 4 6 2 2 9 4 8 9 5 4 9 3 0 3 8 1 9

Given:

The logarithmic equation is:

[tex]\log_618=x[/tex]

To find:

The exponential equation of this logarithmic equation.

Solution:

According to the properties of logarithm:

[tex]\log_bm=x\Leftrightarrow m=b^x[/tex]

We have,

[tex]\log_618=x[/tex]

Here, [tex]b=6, m=18[/tex]. Using the above property of logarithm, we get

[tex]18=6^x[/tex]

Therefore, the required exponential equation is [tex]18=6^x[/tex].

Answer:

the awnser is acctully 6^x =18

Step-by-step explanation:

Answer:

3.98 x 10^7

Step-by-step explanation:

Answer:

3.98x10^7Step-by-step explanation:

Answer:

[tex]x^{8}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then

[tex]x^{4}[/tex] × [tex]x^{4}[/tex] = [tex]x^{(4+4)}[/tex] = [tex]x^{8}[/tex]