Valentina is choosing cutlery with which to eat dinner. There are 2 knives and 10 forks to
choose from. How many different cutlery sets can Valentina choose?
cutlery sets

Answer:

Since the leading coefficient is negative and the exponent is to a degree of 4...

The graph will be down on both ends.

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.

Answer: 18.1666666667

Step-by-step explanation:

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:

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:

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

Step-by-step explanation:

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:

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

Answer:

nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn

Step-by-step explanation:

sssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss

Answer:

product is 432

Step-by-step explanation:

(-2)(-4)=8

(-6)(-9)=54

(8)(54)=432

Answer:

There could be 12 red pens and 21 black pens

Step-by-step explanation:

The value of x = 9, y = 4, m∠C = 25 and m∠A' = 23.

What is the triangle translation?

In mathematics, a triangle translation refers to the geometric transformation in which a triangle is moved to a new position without rotating or scaling it. The triangle is simply slid along a straight line in a certain direction, and the new position of the triangle will be parallel to the original one.

Given that ΔABC translates to ΔA'B'C', we can assume that the measures of the angles are the same in both triangles. Therefore, if we know the measure of an angle in one triangle, we can assume that the measure of the corresponding angle in the translated triangle is the same.

Given:

m∠A = y

m∠A' = 2x + 5

m∠C = 3x-y

m∠C' = 4

Since opposite angles in a rectangle are congruent, m∠A=m∠C' and m∠C = m∠A'

Therefore,

y = 4

3x-y = 2x + 5

Solving this equation gives us:

x = y + 5 = 4 + 5 = 9

y=4

m∠C = 3x - y = 3(9) - 4 = 25

m∠A' = 2x + 5 = 2(9) + 5 = 23

Hence, the value of x = 9, y = 4, m∠C = 25 and m∠A' = 23.

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

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:

Area is 195 in

Step-by-step explanation:

I did this assignment :D

Answer:

141

Step-by-step explanation:

calculator

Answer:

141

Step-by-step explanation:

22+125=147

147-6=141

therefore

the answer is 141

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:

Fahrenheit.

Step-by-step explanation:

In the given formula, the variables given stand for:

C = Celsius

F = Fahrenheit

~

In this case, you plug in the temperature in Fahrenheit into F, and then use the equation to obtain the temperature in Celsius.

~

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.

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

Answer:

IM pretty sure b) and c)

Step-by-step explanation:

Answer:

Using substitution method

x=2

y=3

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:

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:

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]

Answer:

The 0

Step-by-step explanation:

the answer is 10bshsjwjjwjs

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:

I think its 3,600... plz let me know if I'm wrong

Step-by-step explanation:

300,000 x 0.012 or %1.2 (they're the same thing) = 3,600

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