1. Write as a base with a positive exponent, then evaluate. Write your final answer as a
fraction where required.

a) 4^-2

Answer:

B = 40 - 8t

Step-by-step explanation:

Given that:

Rate at which battery life discharges = 8% per hour ;

Battery life left after 3 hours = 16%

t = hours after Lucy left hiuse

Equation B will be ;

Amount of charge before leaving home - (Discharge rate * number hours)

Amount of charge before leaving home :

Charge left after 3 hours + discharge rate * 3

16% + 8*3

16% + 24% = 40%

Hence,

B = 40 - 8t

Answer:

probably B = 40 - 8t

Step-by-step explanation:

Answer:

e) 9, 15, 21

Step-by-step explanation:

First you multiply each number in the ratio by x and set it equal to the perimeter or 45 in this case.

3x + 5x + 7x = 45

Then you add the like terms and get

15x = 45

Solve for x

x = 3

Now multiply 3 by each number

3•3= 9

3•5= 15

3•7= 21

Answer: 9, 15, 21

Answer:

4/9

Step-by-step explanation:

Answer:

21 degrees

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

took the testisk...........

Answer: 92

Step-by-step explanation:

Here's our set-up:

(70 + 75 + 80 + 83 + x) / 5 = 80

Simplify:

(308 + x) / 5 = 80

Multiply both sides by 5:

308 + x = 400

Subtract 308 from both sides:

x = 92

Answer:

92

Step-by-step explanation:

In order to get an 80 in 5 tests, he needs to accumulate 400 points.

If he accumulated 80+70+75+83 points, 308, he would need a 92 on the next test to get an 80 average.

Answer:

I think it's B

...........

Answer:

d

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = (- 2, - 3) and (x₂, y₂ ) = (1, [tex]\frac{1}{2}[/tex] ), thus

midpoint = ( [tex]\frac{-2+1}{2}[/tex], [tex]\frac{-3+\frac{1}{2} }{2}[/tex] ) =  ( [tex]\frac{-1}{2}[/tex], [tex]\frac{-3+\frac{1}{2} }{2}[/tex] ) = ( - [tex]\frac{1}{2}[/tex], [tex]\frac{-\frac{5}{2} }{2}[/tex] ) = ( - [tex]\frac{1}{2}[/tex], - [tex]\frac{5}{4}[/tex] ) → d

Given : 56 men can do a work in 42 days .

To Find : In how many men will do the same work in 14 days .

Solution : We will use Unitary method here to solve the above problem . This is a case of inversely proportional that is when one will increase the other will decreases . Here if the number of men will increase then the number of days will decrease and vice - versa .

If in 42 days 56 men can do the work ,

Then in 1 day 42 × 56 men can do the work .

Then in 14 days , [tex]\sf \dfrac{42\times\cancel{56}}{\cancel{14}}[/tex] will do the work = 168 .

Hence 168 men will do the work in 14 days .

[tex]\Large\boxed{\red{\bf Answer = 168 \:men}}[/tex]

Answer: 3,486,784,401

Step-by-step explanation:

9 raised to the 11th power is 31,381,059,609

Then divide that by 9 to get 3,486,784,401

Answer:

27ft

Step-by-step explanation:

Answer:

its simple you will need 5ft of carpet

Step-by-step explanation:

Answer:

4√3cm^2

Step-by-step explanation:

we know that the area of equilateral triangle is √3/4a^2

Answer:his balance will be between 0 and 28

Step-by-step explanation:

the first option is the correct answer

Answer:

2 ≤y+3 <6

Step-by-step explanation:

y+3 ≥2  and y+3 <6

Let y+3 = x

x ≥2  and x <6

2 ≤x and x<6

2 ≤x <6

Replace x with y+3

2 ≤y+3 <6

[tex]f(x) = ( \frac{1}{4} ) {}^{x} [/tex]

[tex]f(0) = ( \frac{1}{4} ) {}^{0} [/tex]

[tex]f(0) = 1[/tex]

[tex]f(1) = ( \frac{1}{4} ) {}^{1} [/tex]

[tex]f(1) = \frac{1}{4} [/tex]

[tex]f(2) = ( \frac{1}{4} ) {}^{2} [/tex]

[tex]f(2) = \frac{1}{16} [/tex]

#IfWrongPleaseReport

Answer:

Maggie is 13

Step-by-step explanation:

Honestly, I just kept trying ages starting from 10 because I knew it wasn't going to be less than that. Then I did whatever age, in this case 13, and multiply it by  4. Then minus 11 from that number. Then take that end number and add it to the beginning number(maggies age) and you should get 54.

Math Equation Explanation:

13*4 = 52                           (Maggies Age) x 4

52-11= 41                            The question stated that Maggie's brother was 11                                             -------------------------------------years younger than her age times 4.

41 + 13 =54                          The sum of both their ages.

Answer:

F(-3)= -14

Step-by-step explanation:

f(x)= -5x-1

f(x)=-5(-3)-1

f(x)= -15-1

f(x)=-14

Answer:

[tex]280 \: dollars[/tex]

Step-by-step explanation:

[tex]3500 \times .08 = 280[/tex]

Simple as that ^^^ Just find 8% of 3500

280,00$

8% of 3500$ equals to

(8/100)*3500=

280,00$=

Answer:

sure ill help

Step-by-step explanation:

Answer:

a+b=f

Step-by-step explanation:

180-f= c

180-(a+b)= c

SO

a+b= f

Answer:

y=5x+31

Step-by-step explanation:

y=mx+b

1=(-6*5)+b

1=-30+b

31=b

y=5x+31

(5*-6)+31

-30+31

1

you can also graph a line on desmos

Answer:

( 4 x − 1 ) ( x − 3 )

Step-by-step explanation:

Factor by grouping.

Answer:

Your answer is: x = 3 , 1/4

Solve the equation for  x  by finding  a ,  b , and  c  of the quadratic then applying the quadratic formula.

Step-by-step explanation:

Hope this helped : )

Answer: division :3

Step-by-step explanation:

The line in a fraction that separates the numerator and the denominator represents division.

To convert a fraction to a decimal, divide the numerator by the denominator.

Answer:

x=8

Step-by-step explanation:

I am assuming you need to find which x value fits this.

So set the two equations equal to each other

158=70+11x, subtract 70 from both sides

88=11x, now, divide by 11 to get x by itself,

8=x, to find these answers, use a calculator or any other method you want.

Answer: 2 seconds

Step-by-step explanation:

An object take 2 seconds to reach to the ground. option A is correct.

An object that is projected straight downward with initial velocity v feet pee second.
s = vt + 16t2
s = 84 feet and v = 10

Velocity is ratio of displacement to the time.

We have equation.
s = vt + 16t2
Now, put s =  84 and v = 10
84 = 10t+16t2
8t2+10t-42=0
Taking roots of equation.
We get t = 2 and -21/8
Since time couldn't be negative.
So,
t = 2  

Thus, An object take 2 seconds to reach to the ground.

Learn more about Velocity here:
https://brainly.com/question/18084516

#SPJ2

Answer:

No

Step-by-step explanation:

x=5 produces y=3 and y=5 so the relation is not a function.

Yes that is function by looking that this

y

Answer:

x=11

Step-by-step explanation:

take 90+35 = 125

then take 180-125=55

then take 55 divided by 5 to get the answer of 11

Answer:

13x + 5= -12

hope this helps :)