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Ann [662]
3 years ago
11

Please helppp can someone please help me I am so confused on how to answer these

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
3 0

Answer:

A; D; A; C; C

Step-by-step explanation:

1. S29 means the sum of the first 29 terms. Because it's an arithmetic sequence, the sum of the first x terms is (the first term + xth term)(x)/2

That means the answer to the first question is (7+70)(29)/2 = 1116.5 (A)

2. The sum of the first 18 terms is (56 + 5)(18)/2 = 549 (D)

3. The common difference is 3.5, making the 26th term 87.5. That makes the sum of the first 26 terms (7+94.5)(26)/2 = 1319.5 (A)

4. The question is asking for the sum of the first 28 terms. The first term is 50-4(1) = 46. The 28th term is 50-4(28) = -62. That makes the sum of the first 28 terms (46+(-62))(28)/2 = -224 (C)

5. The first x terms of a geometric sequence is the (first term - (x+1)th term)/(1-(ratio)).

That makes the sum ((1/3)-(729))/(1-3) = -(2186/3)/-2 = 1093/3 = 364 1/3 (C)

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A truck can be rented from Company A for $120 a day plus $0.80 per mile. Company B charges $50 a day plus $0.90 per mile to rent
Jlenok [28]

Answer:

700 miles driven in a day

Step-by-step explanation:

Create an equation to represent the situation, where x is the number of miles.

0.8x + 120 = 0.9x + 50

Solve for x:

120 = 0.1x + 50

70 = 0.1x

700 = x

So, the rental costs will be the same at 700 miles driven in a day.

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3 years ago
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Three side lengths of a right triangle are given. Use the drop-down menus to explain why matters where you substitute the length
SVEN [57.7K]

Answer:

The Pythagorean Theorem is used for right triangles only, because it's a mathematical relation between the legs of the triangle and the hypothenuse, where each leg must be less than the length of the hypothenuse.

It's important to correctly identify each element of the triangle, that is, which sides are legs, and which side is the hypothenuse, because the Pythagorean Theorem has a specific order, that means, if we make a mistake identifying each element, then the result will be wrong.

For example, the expression c^{2}=a^{2}  +b^{2} is the theorem, where c is the hypothenuse. This theorem states that the square of the hypothenuse (longest side) is equal to the sum of the square of the legs. So, if we call c a leg instead of the hypothenuse, the theorem won't work.

5 0
3 years ago
Find inverse of <br><img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%7Cx%7C%20" id="TexFormula1" title="f(x) = |x| " alt=
andre [41]

Answer:

Inverse of the function does not exist.

Step-by-step explanation:

Inverse of a function: Inverse of a function f(x) is a function that brings range to domain of f(x).

f(x)=y\ inverse\ function\ is\ f^{-1}(y)=x.

Given f(x)=|x|

This function is not one-one map because f(x)=f(-x)

f(2)=2,\ f(-2)=2 \Rightarrow f(2)=f(-2)

Inverse function exists only if the function is one-one map.

Hence here inverse function does not exist.

3 0
4 years ago
Which equations represents a line that is parallel to 3x-4y=7 and passes through the point (-4,-2)
insens350 [35]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 3x - 4y = 7 into this form

Subtract 3x from both sides

- 4y = - 3x + 7 ( divide all terms by - 4 )

y = \frac{3}{4} x - \frac{7}{4} ← in slope- intercept form

with slope = \frac{3}{4}

• Parallel lines have equal slopes, hence

y = \frac{3}{4} x + c ← is the partial equation of the parallel line

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Multiply all terms by 4

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4y - 4 = 3x ( subtract 4y from both sides )

- 4 = 3x - 4y, that is

3x - 4y = - 4 ← in standard form

6 0
4 years ago
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mafiozo [28]

Answer:

24 interest after 4 years

Step-by-step explanation:

I just took 400 and multiplied it to 1.5%(.015) to get 6 and then multiplied that to 4 to get 24 and you could it if you want. Ask if you have a question.

6 0
4 years ago
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