The equation p=100−5t represents the percent p of battery power remaining in a tablet after t hours.

a. Identify the independent and dependent variables. Then describe how the battery power changes over time.

The independent variable is
and the dependent variable is
.

The battery power begins at
% and decreases
% each hour.

Question 2
b. Graph the equation.

Answer:

3 by 1

Step-by-step explanation:

3 row and 1 column

Answer:

2 by 1.

Step-by-step explanation:

Hi.  I just took this quiz, chose 3 by 1 (per the answer above) and got it wrong.  So, my score was an 83.3%.  To save you from earning the same grade, this answer was the correct one.

Hope it helps.

Answer:

f(x)=5x²+2x-5,G(x) =7x+8,H(x)=4x²-10

Answer:

8:11

Step-by-step explanation:

For every 8 apples, there are 11 oranges.

Answer:

8 : 11 = 8 : 11

Step-by-step explanation:

Divide both terms by the GCF, 1:

8 ÷ 1 = 8

11 ÷ 1 = 11

The ratio 8 : 11 cannot be reduced further by dividing both terms by the GCF = 1 :

This ratio is already in lowest terms.

Therefore:

8 : 11 = 8 : 11

Answer:

A is ur answer

Step-by-step explanation:

-12 = a(0+2)²-20

-12=4a -20

4a = 20-12

4a=8

a=2

y = 2x²+ 8x -12

=> y = 2 x² + 8 x + -12

2 , 8 , -12

Answer:

224

Step-by-step explanation:

1st Digit - 9 (1 way)

2nd Digit - 2, 3, 5, 7 (4 ways)

3rd Digit - (10-2) ways

4th Digit - (10-3) ways

Therefore, the number of ways are 1 × 4 × 8 × 7

= 224 ways

Answer:

The slope of a launch ramp cannot be too high or too low.

The length of a landing ramp must be long enough for riders to recover from the jump, but short enough so they do not lose speed for the next jump.

The slope of a ramp is found by dividing the height of the ramp by the length of the ramp.

Step-by-step explanation:

Edg2021

Answer:

The slope of a launch ramp cannot be too high or too low.

The length of a landing ramp must be long enough for riders to recover from the jump, but short enough so they do not lose speed for the next jump.

The slope of a ramp is found by dividing the height of the ramp by the length of the ramp.

Step-by-step explanation: Just did this earlier

Answer:

where is the graph

and what is your question

could you explain

Answer:

aₙ = 1 + 1(n - 1)

Step-by-step explanation:

This is an arithmetic sequence, which will use the equation:

aₙ = a₁ + r(n - 1)

Therefore the expression for the nth term would be:

aₙ = 1 + 1(n - 1)

Hope this helps!

Answer:

¿Cómo comprobar que las razones son proporcionales? ,5

Step-by-step explanation:

Para comprobar si dos o más razones son proporcionales se aplica la propiedad fundamental de las proporciones. 1 * 4 = 1 2 2 4 4 = 4 1 2 3 6 1 * 6 = 6 = 6 = = ? ? 1 2 0,5 1 = Así se concluye que las tres razones son proporcionales. 1 * 1 = 1 = 1 1ra forma. 2 * 2 2 * 3 ? 2 * 0,5

Answer:

The number of trucks required is 17.

Step-by-step explanation:

28.5 kilograms can be transported in a van. How many trucks are needed to transport 484.5 Kg?

For the transportation of 28.5 kg, one truck is required.

Total mass = 484.5 kg

The number of trucks required is

n = total mass/ mass of one

[tex]n=\frac{484.5}{28.5}\\\\n = 17[/tex]

Answer:

(a) Equations for both

[tex]y = 500 + 12x[/tex] --- lifeguard

[tex]y = 15x[/tex] --- camp counselor

(b) Total pay for 5 days

Lifeguard pays $800

Camp counselor pays $375

(c) Which pays more

Lifeguard job pays more

Step-by-step explanation:

Let

[tex]x \to hours[/tex]

[tex]y \to total\ pay[/tex]

Given

Lifeguard job

[tex]Signing\ bonus = \$500[/tex]

[tex]Rate = \$12/hr[/tex]

Camp counselor job

[tex]Signing\ bonus =\$0[/tex]

[tex]Rate = \$15/hr[/tex]

Solving (a): The equation for both

The total pay for each job is calculated as:

Total Pay = Signing Bonus + Rate * Hours

So, we have:

Lifeguard

[tex]y = 500 + 12*x[/tex]

[tex]y = 500 + 12x[/tex]

Camp counselor

[tex]y = 0 + 15 * x[/tex]

[tex]y = 15x[/tex]

Solving (b): Total pay for 5 days

First, we calculate the total hours worked in 5 days

[tex]x = 5hrs/day * 5days[/tex]

[tex]x = 25hrs[/tex]

So, the pay for each is:

[tex]y = 500 + 12x[/tex]

[tex]y =500 + 12*25[/tex]

[tex]y =800[/tex] --- Lifeguard

[tex]y = 15x[/tex]

[tex]y = 15 * 25[/tex]

[tex]y = 375[/tex] --- camp counselor

Solving (c): Which job pays more

By comparing the solution in (b)

[tex]800 > 375[/tex]

Hence, lifeguard job pays more

Answer:

[tex]c=1.25b[/tex]

Step-by-step explanation:

If we know that each band costs $1.25, then we know that 2 bands are $2.50, 3 bands are $3.75 etc. The equation above simply states that each band is $1.25, so $1.25 multiplied by the number of bands gives us a total cost. This follows the formula [tex]y=kx[/tex], for a direct proportion equation. Hope this helped :)

Answer:

37.68

Step-by-step explanation:

circumference= 2πr

= 2 x 3.14 x 6

= 12 x 3.14

= 37.68 approximately 37.7

Answer:

A and C

Step-by-step explanation:

just took the test

Given:

[tex]a=-\dfrac{3}{4}[/tex]

[tex]b=\dfrac{4}{5}[/tex]

To verify:

[tex]a\div b\neq b\div a[/tex]

Solution:

We have,

[tex]a=-\dfrac{3}{4}[/tex]

[tex]b=\dfrac{4}{5}[/tex]

Now,

[tex]a\div b=\dfrac{a}{b}[/tex]

[tex]a\div b=\dfrac{-\dfrac{3}{4}}{\dfrac{4}{5}}[/tex]

[tex]a\div b=-\dfrac{3}{4}\times \dfrac{5}{4}[/tex]

[tex]a\div b=-\dfrac{15}{16}[/tex]               ...(i)

And,

[tex]b\div a=\dfrac{b}{a}[/tex]

[tex]b\div a=\dfrac{\dfrac{4}{5}}{-\dfrac{3}{4}}[/tex]

[tex]b\div a=\dfrac{4}{5}\times (-\dfrac{4}{3})[/tex]

[tex]b\div a=-\dfrac{16}{15}[/tex]               ...(ii)

From (i) and (ii), it is clear that

[tex]a\div b\neq b\div a[/tex]

Hence verified.

y< 3

3 is the correct answer.

Answer:

the answer is 3! :)

hope it helped

have a nice day

Answer:

y = -7/3x + 5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The opposite of -5 is 5. You find this opposite by switching the negative sign to a positive sign.

Answer:

5

Step-by-step explanation:

Just take away the sign or add the sign from the number to get a integer. There you go it's just that easy️‍ enjoy good day

In a pair of similar triangles, the corresponding sides are proportional. ... When the sides are corresponding it means to go from one triangle to another you can multiply each side by the same number. In the diagram of similar triangles the corresponding sides are the same color.

( if this is wrong I apologize)

[tex]a = \frac{d - c}{b} [/tex]

Answer:

a = (d - c)/b

Step-by-step explanation:

ab + c = d

ab = d - c

a = (d - c)/b

Hope that helped! All you need to do is simplify.

Answer:

(n^2)÷2

Step-by-step explanation:

Answer:

x^2+12x+35

Step-by-step explanation:

Answer:

x^2+10x+21 is the correct answer

Step-by-step explanation:

yw :)

Answer:

see image below

Step-by-step explanation:

Answer: c

Step-by-step explanation:

Answer:

Which is the smallest number which leaves remainder 8 and 12 when divided by 28 and 32 respectively? 204.

Step-by-step explanation:

Have a great summer.

Answer:

204 is the smallest number.

Step-by-step explanation:

28 - 8 = 20 and 32 - 12 = 20

The required number will be 20 less than the LCM of 28 and 32.

Prime factorization of 28,

→ 2 × 2 × 7

Prime factorization of 32,

→ 2 × 2 × 2 × 2 × 2

LCM(28, 32) = 2 x 2 x 2 x 2 x 2 x 7 = 224

Hence, the required smallest number,

→ 224 - 20 = 204

Answer:

D = 10.1m

Step-by-step explanation:

We know that the volume of a sphere of radius R is:

V = (4/3)*pi*R^3

where pi = 3.14

A hemisphere is half a sphere, then the volume of an hemisphere is half of the volume of a sphere, then the volume of a hemisphere of radius R is:

V' = (1/2)*(4/3)*pi*R^3

Now, we know that our hemisphere has a volume:

V' = 272m^3

Then we can solve the equation:

272m^3 =  (1/2)*(4/3)*pi*R^3

For R.

(we want the diameter, but remember that the diameter is equal to two times the radius, so finding the radius is a good start)

272m^3 =  (1/2)*(4/3)*pi*R^3

272m^3 =  (4/6)*3.14*R^3

272m^3*(6/4*3.14) = R^3

∛( 272m^3*(6/4*3.14) ) = R = 5.06 m

And the diameter is two times that, so we get:

D = 2*5.06m = 10.12 m

Rounding this to the nearest tenth of a meter (first digit after the decimal dot), we get:

D = 10.1m

Answer:

3 : 7 : 5

Step-by-step explanation:

Given

12 : 28 : 20 ← divide each part by 4 ( the LCM of 12, 28, 20 )

= 3 : 7 : 5

Answer:

The original cost of each ticket will be = $33

Step-by-step explanation:

Number of coupons Tylers mom had = 5

The value of each coupon is = $4

Total value of coupons = 5 x 4 = $20

In order to find the original cost of the ticket, we just have to add the value of coupons to the amount paid for tickets.

The original cost of tickets = $145 + $20

The original cost of tickets = $165

Thus, the original cost of each ticket will be = 165 / 5

Thus, the original cost of each ticket will be = $33

Answer:

x° = 64°

Explaination:

This is a right angled triangle so one of the angle is 90°.

So, x° + 90° = 154° (Exterior angle property)

x° = 154° - 90° = 64°

Therefore x° = 64°