PLEASE HELP WITH THIS AND SHOW WORK.

Answer:

x^2 + 3x

Step-by-step explanation:

just add like terms so 3x^2 - 2x^2 = x^2 and 11x - 8x = 3x

Answer:

Step-by-step explanation:

Total Depreciation: 60.24%

Total depreciation: $9,759.50

Car Value after 6 years: $6,440.50

The element is remaining 146.6 grams after 7 minutes, to the nearest 10th of a gram.

An exponential function's curve is created by a pattern of data called exponential decay, which exhibits higher decreases over time.

The exponential decay function:

Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.

Given:

An element with mass 630 grams decays by 18.8% per minute.

That means, 18.8% = 0.188

Here, we will use the exponential decay function.

Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.

Here,

A₀ = 630 grams

r = 0.188

x = 7 minutes

Substituting the values to the formula,

A₇ = 630(1-0.188)⁷

A₇ = 630(0.812)⁷

A₇ = 630(0.23275134787)

A₇ = 146.633

A₇ = 146.6 grams.

Therefore, element is remaining 146.6 grams.

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Answer:

a.

capacity of car = 14 gallons

consumption of fuel in one day = 0.6 gallons

consumption of fuel in 14 days = 14 x 0.6 = 8.4 gallons

fuel remaining in car = 14 - 8.4 = 5.6 gallons

so they can drive the car without warning.

b.

consumption of fuel in one day = 0.6 gallons

consumption of fuel in 25 days = 25 x 0.6 = 15 gallons

fuel remaining in car = 14 - 15 = -1 gallons

so they can't drive the car without warning.

c.

the expression 14 - 0.6t represents remaining fuel in the vehicle, where t represents number of days.

d.

14 - 0.6t = 1.5

or - 0.6t = 1.5 - 14 = - 12.5

or t = -12.5 / - 0.6

or t = 20.8333 days

so he can drive 20 days without warning.                                                                                         E.

14 - 0.6t < 1.5

or t < 20.8333

here t represents number of days car can drive without warning light.

Step-by-step explanation:

The inequality is  

The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days

14 gallons-1.5 gallons=12.5 gallons  

we know that

If the remaining fuel is greater than  1.5 gallons Diego's father can drive the car without the warning light coming on  

so

Let

x ----> the number of days

 ----> inequality that represent the situation

Solve for x

The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days

Answer:

136.2

Step-by-step explanation:

Plugin x = 18 in the polynomial.

P(x) = 0.02x³ + 0.04x² + 0.3x + 1.2

P(18)= 0.02*(18)³ + 0.04*(18)² + 0.3*18 + 1.2

      = 0.02 * 5832  + 0.04*324 + 5.4 + 1.2

      = 116.64 + 12.96 + 5.4 + 1.2

      = 136.2

Answer:

1

Step-by-step explanation:

when dividing numbers with exponents with the same base, subtract the exponents.

[tex]\frac{8^{7} }{8^{7} }[/tex]

7 - 7 = 0

[tex]\frac{8^{7} }{8^{7} }[/tex] = [tex]8^{0}[/tex]

anything to the power of 0 is 1

[tex]8^{0}[/tex]= 1

Answer:

1

Step-by-step explanation:

Any number divided by itself equals 1 with the exception of 0 since 0/0 is undefined.

8^7 is not equal to zero, so without doing any calculations or using any other rules, we know that

8^7/8^7 = 1

We can use the rule of exponents for dividing powers.

Rule:

[tex] \dfrac{a^m}{a^n} = a^{m - n} [/tex]

Here we have a = 8, m = 7, and n = 7.

Applying the rule, we get

[tex] \dfrac{8^7}{a^7} = 8^{7 - 7} = 8^0 [/tex]

Another rule of exponents:

[tex] a^0 = 1 [/tex]

We the zero power rule now:

[tex] 8^0 = 1 [/tex]

Therefore,

[tex] \dfrac{8^7}{a^7} = 1 [/tex]

Answer: 1

Answer:

(-3, 4)

It doesn't show any coordinates so I assume that the origin is where the x and y axes intercept

one piece is 2m

one is 8m

Answer:

The inverse  is ±sqrt(100-x)

Step-by-step explanation:

To find the inverse, exchange x and y

x = 100 -y^2

Solve for y

Subtract 100 from each side

x - 100 = -y^2

Divide by -1

-x +100 = y^2

Take the square root of each side

±sqrt(100-x) = sqrt(y^2)

±sqrt(100-x) =y

The inverse  is ±sqrt(100-x)

Answer:

Jose stretched the taffy the farthest and Maria stretched it the least

Step-by-step explanation:

Distance stretched by George = 3 feet

Distance stretched by Jose is [tex]1\dfrac{1}{3}[/tex] times as much as George so

[tex]3\times 1\dfrac{1}{3}=3\times\dfrac{4}{3}=4\ \text{feet}[/tex]

Distance stretched by Jose is [tex]4\ \text{feet}[/tex]

Maria streched the taffy [tex]\dfrac{2}{3}[/tex] times as George

[tex]3\times \dfrac{2}{3}=2\ \text{feet}[/tex]

Maria stretched the taffy by [tex]2\ \text{feet}[/tex]

Sally stretched it [tex]\dfrac{6}{6}[/tex] so [tex]1\ \text{feet}[/tex]

So, Jose stretched the taffy the farthest and Maria stretched it the least.

Answer:

4(x+7)=38

4x+28=38

4x=38-28

4x=10

(divide by 4)

x=2whole number 2/4

=2whole number 1/2

or x=2.5

Answer:

Part A

D

Part B

76

Step-by-step explanation:

I don't know how to explain it

Answer:

C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

hope this helps lovely! <3

Answer:

1 and 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Option 1

Option 2

Option 3

Option 4

Answer:

7

Step-by-step explanation:

if the stick is 7.5 divide that by 3 and you get 2.5 so divide 17.5 by 2.5 and you get 7 .

Answer: Picture is blury for me I can not see it well enough

Step-by-step explanation:

All i see is the 8 ft and 17ft cant see any of the other numbers

Answer:

The decrease from 20 to 11 is 9, and that is 45% of 20.

Hope this helps!

Answer:

C

Step-by-step explanation:

Volume of a cylinder is πr²h

V = π * 5² * 8

V = π * 25 * 8

V = π * 200

V = 200π

Answer:

d

Step-by-step explanation:

^u^

The amount of units that must be sold to a number yields a maximum profit is 600. Hence 600 units will be the correct option.

To find the maxima of any function it needs to differentiate with respect to the dependent variable and equate with zero to get stationary points.

After achieving the stationary points it needs to put on the double derivative of that function to check whether it's maxima or minima.

If the double derivative got negative then it will be maxima.

Given that function

f(x) = -0.001(x-600)² + 90

By differentiation

[tex]$f'(x)$[/tex] = -0.002(x - 600) + 90

Now equate with zero

-0.002(x - 600) + 90 = 0

x - 600 = 0

x = 600

Now checking the x at double derivative

[tex]$f''(x)$[/tex] at x = 600 it is coming out to -0.002 which is negative Hence, the 600 units will be the correct answer.

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Answer:

C. $126

Step-by-step explanation:

Let us say x is the amount of money Sky makes for babysitting 7 hours.

[tex]\frac{72}{4} =\frac{x}{7}[/tex]

[tex]\frac{72}{4} = 18[/tex]

[tex]18=\frac{x}{7}[/tex]

x=$126

Answer:

5,0

10,0

( I'm sorry if this wasn't helpful to you) ;(

Answer:

0.39

Step-by-step explanation:

7/18= 3.888888888

round up

0.39

Answer:

2. 8x

3. (12/2)*(10/2)

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

A(-1,2)

B(-4,4)

C(-3,1)

Step-by-step explanation:

simply reflect across the y-axis. pls give brainliest

Answer:

equation: 55 + (2x + 3) + 90 = 180

55 + 2x + 3 + 90 = 180

2x + 148 = 180

2x = 32

x = 16

Answer:

55 + 50 + 2x+3 + 2x+8 = 180

x = 16

Step-by-step explanation:

55 + 50 + 2x+3 + 2x+8 = 180

113 + 4x = 180

4x = 64

x = 16