If 2^2x=2^3, what is the value of x?

Step-by-step explanation:

c = 12m - 17

m = 2

c = 12×2 - 17 = 24 - 17 = 7

m = 4

c = 12×4 - 17 = 48 - 17 = 31

m = 8

c = 12×8 - 17 = 96 - 17 = 79

Answer:

There could be 12 red pens and 21 black pens

Step-by-step explanation:

The graph of the system of linear equations is attached with the answer.

The general equation of a straight line is -

y = mx + c

{m} - slope.

{c} - intercept along the y - axis.

Given is the system of linear equations as given -

- 2x + y = 10

x + 2y = 5

The given system of linear equations is -

- 2x + y = 10

x + 2y = 5

Refer to the graph of the system of linear functions attached. The point (-3, 4) is the solution set of this system of equation.

Therefore, the graph of the system of linear equations is attached with the answer.

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Answer:

$28.29

Step-by-step explanation:

1 pound: $6.15
4.6 pounds: 6.15 x 4.6 = $28.29

Answer:

634.2 m²

Step-by-step explanation:

Given:

Angle given = 37°

Radius (r) = 15 m

Required:

Area of the shaded sector

Solution:

Area of the shaded sector = θ/360 * πr²

θ = 360 - 37 = 323°

r = 15 m

Plug in the values

Area of the shaded sector = 323/360 * π * 15²

= 634.209017

≈ 634.2 m² (nearest tenth)

Answer:

f(x)=-6x-3 has a greater y intercept

Step-by-step explanation:

The present value of the tax benefits from depreciation which is a non cash expenditure under capital budgeting decisions is $10432.80

According to the prudence concept of accounting convention, Depreciation is a non cash expenditure that has been charged against the profit. Depreciation is value that amortized over useful life of tangible fixed asset. The absolute decline in the value of asset due to obsolesce, usage of asset, wear & tear of fixed asset is referred as depreciation.

As per accounting standard on property, plant & equipment depreciation can be computed by straight line method and written down value method.

While analyzing the capital budgeting decision from the equipment to be acquired the cash inflows and outflows during the currency of the project shall be accounted for.

The tax benefit from depreciation expenses will be consider as cash inflow. The same shall be calculated by the present value annuity factor for the as follows:

cost of capital = 12 %

Depreciation = $10000

Life of the project = 8 years

Tax rate = 21%

Present value annuity factor (PVAF) at 12% for 8 years will be:

0.893 0.797 0.712 0.636 0.567 0.507 0.452 0.404

Grand total of the (PVAF) at 12% = 4.968

Now multiply the PVAF with depreciation amount

Present Value of Depreciation = 4.968 × 10000 = $49,680

Tax benefit from depreciation = $49,680 × 21% = $10432.8

Thus the tax Tax benefit from depreciation is $10432.80

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Answer:

nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn

Step-by-step explanation:

sssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss

Answer:

C 5a^2 +70a +240

Step-by-step explanation:

We have given these following functions:

[tex]f(x) = 5x, g(x) = -2x + 1, h(x) = x^2 + 6x + 8[/tex]

h(a+4)

This function is:

[tex]h(a+4) = (a+4)^2 + 6(a + 4) + 8[/tex]

[tex]h(a+4) = a^2 + 8a + 16 + 6a + 24 + 8[/tex]

[tex]h(a+4) = a^2 + 14a + 48[/tex]

f[h(a+4)]

[tex]f(x) = 5x[/tex]

Thus

[tex]f(h(a+4)) = f(a^2+14a+48) = 5(a^2 + 14a + 48) = 5a^2 + 70a + 240[/tex]

The correct answer is given by option C.

On solving the provided question we can say that  expression which is equivalent form to 3/2 is (5/2-1).

Expressions that are equivalent do the same thing even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).

Equivalent systems refer to sets of equations with the same solution. We can create an analogous system from a system of two equations by replacing one equation with the total of the two equations or by replacing an equation with a multiple of itself.

When two expressions can be reduced to a single third expression or when one of the expressions can be expressed in the same way as the other, they are said to be equivalent. When values are replaced for the variable and both expressions yield the same result, you may also tell if two expressions are equal.

The number is 3/2

The expression which is equivalent to 3/2 is (5/2-1)

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Answer:

1) 1/10

2) 1/2

3) 1/5

Step-by-step explanation:

1)

1 favorable outcome and 10 total outcomes.

[tex]P(3) = \frac{1}{10}[/tex]

2)

5 favorable outcomes and 10 total outcomes

[tex]P(even) = \frac{5}{10} = \frac{1}{2}[/tex]

3)

2 favorable outcomes and 10 total outcomes

[tex]P(multiples\ of\ 5) = \frac{2}{10} = \frac{1}{5}[/tex]

The Probability of landing spinner on Blue is more likely than Red.

What is the Probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen.

Here, the probability of a spinner landing on red is 0.15 or 15%

The probability of the same spinner landing on blue is 0.45 or 45%

On comapring both the probabilities we can say that,

probability of a spinner landing on red < probability of spinner landing on blue

                 15 %    <    45 %

Thus, the Probability of landing spinner on Blue is more likely than Red.

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Answers:

5. x = 1

6. y = 11.5

Step-by-step explanation:

For question 5, you can use power of a point which describes the relationship of two secants intersecting inside a circle. You get the formula:

AC * CD = BC * CE

You can substitute the values you are given to get:

2 * 4 = x * 8

This gives you x = 1

For question 6, you can use another formula in power of a point that describes two secants intersecting in the exterior of a circle. You get the formula:

GH * GJ = GI * GK

Using segment addition postulate, you get:

GJ = GH + HJ = 5 + 16 = 21

GK = GI + IK  = 6 + y --> y + 6

Now, substitute into the equation from power of a point:

5 * 21 = 6 * (y + 6)

105 = 6 * (y + 6)

17.5 = y + 6

y = 11.5

After 3 years, the price of the house would be $2,494,822.48. After 5 years, the price of the house would be $2,830,530.94.

Price is the value of a product or service that an individual or business is willing to accept in exchange for a good or service. It is typically determined by the market forces of supply and demand. Prices are usually expressed in monetary terms, but can also be expressed in terms of labor time or other resources. Prices can vary widely depending on the availability of a good or service, the amount of competition, and other factors.

To calculate the price of the house after 3 years, the formula is P x (1 + r)^t. P is the initial price of the house, which is $2,300,006. R is the rate of increase each year, which is 6%. T is the number of years, which is 3. Therefore, the price of the house after 3 years is P x (1 + 0.06)^3, which equals to $2,494,822.48.
To calculate the price of the house after 5 years, the formula is P x (1 + r)^t. P is the initial price of the house, which is $2,300,006. R is the rate of increase each year, which is 6%. T is the number of years, which is 5. Therefore, the price of the house after 5 years is P x (1 + 0.06)^5, which equals to $2,830,530.94.

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Answer:

14 bags.

Step-by-step explanation:

20 equal slices, so 20/20.

You eat 3/10 of it. 3/10 is equivalent to 6/20.

20/20 - 6/20 is 14/20.

You need 14 bags.

Answer:

10m

Step-by-step explanation:

It should be 10m because the way to calculate are of a rectangle is length times width equals area (lw=area), and 12 times 10 is 120.

Answer and Step-by-step explanation:

Since this is a rectangle, we know to find the area we would do length times width.

TO find the width, we need to divide the area by the length.

120 divided by 12 equals 10m.

10 = ?

#teamtrees #PAW (Plant And Water)

Answer:

18.75

Step-by-step explanation:

Just add 2.5 and 16.25 :)

Answer:

Lily must live 18.75 miles away

Step-by-step explanation:

If Lily lives 2.5 miles further from school than Dante then the equation is

16.25+2.5 = x

Add them together and you get 18.75

The wood left over after making the frame and the sandbox is 10 inches.

A square is a two-dimensional figure that has four sides and all four sides are equal.

The area of a square is given as side².

We have,

The total amount of wood.

= 4 x 65.5

= 262 inches.

Frame:

Side = 5.25 inches

The perimeter of the frame.

= 4 x 5.25

= 21 inches

Now,

Sandbox:

The wood used for the sandbox.

= 11 x 21

= 231 inches

The remaining wood.

= 262 - (21 + 231)

= 262 - 252

= 10 inches

Thus,

The remaining wood is 10 inches.

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Answer:

70

Step-by-step explanation:

Well -37 plus 70 would give you 33, so therefore 70 is the answer. You can also check your answer by subtracting -37 from 33 which would give you 70.

Answer:

True

Step-by-step explanation:

In particular, for an expression to be a polynomial term, it must contain no square roots of variables, no fractional or negative powers on the variables. So yes this is a polynominal.

Answer: (-3,0) and (0,-2)

Step-by-step explanation:

Answer:

Answer: £272.51

Step-by-step explanation:

First, we need to determine how much money Selma needs to have in her account in order to pay the bill and still have £10 left over. The bill is for £465.20, so Selma needs to have £475.20 in her account in order to pay it.

Next, we need to determine how much money Selma needs to pay into her account in order to reach this total. She starts with £202.69 on Monday, so she needs to pay £475.20 - £202.69 = £<<475.20-202.69=272.51>>272.51 into her account on Tuesday. Answer: £272.51

Answer:

The 0

Step-by-step explanation:

the answer is 10bshsjwjjwjs

Answer:

IM pretty sure b) and c)

Step-by-step explanation:

The fraction of the original passengers remaining on the bus is 11/21.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, A crowded bus makes several stops along a city street, with no passengers boarding the bus at any stop.

.At the 1st stop 1/3 of the passengers exit.

At the 2nd stop, 3/7 of the remaining passengers exit the bus.

Therefore, The fraction of the original passengers who remain on the bus is,

= [(1 - (1×1/3) - (1)×(1/3)×(3/7)].

= [ 1 - (1/3) - (3/21)].

= [ (2/3) - (3/21)].

= [(14 - 3)/21].

= 11/21.

So, 11/21 remains on the bus.

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Answer:

7/12 (seven over twelve)

Step-by-step explanation:

1/3 -1/4 =4/12- 3/12=1/12

1/2+1/12=6/12+1/12=7/12

so the answer is 7/12

hopefully this helps