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2 years ago

Write an arithmetic series for which S5 = 10.

Mathematics

1 answer:

Ludmilka [50]2 years ago

3 0

S5=10 means the 5th number is 10.
So the arithmetic sequence is s1, s2,s3, s4, 10

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Darlene wrote this proof of the identity (x + y)2 - (x - y)2 = 4xy. Which of the following is a justification for Step 3 of her

vodka [1.7K]

Solution:

we are given that

Darlene wrote this proof of the identity (x + y)2 - (x - y)2 = 4xy.

we have been asked to find

Which of the following is a justification for Step 3 of her proof?

Step 3 of her proof is

$Step 3: (x^2 + xy + xy + y^2) - (x^2 - xy - xy + y^2) = (x^2 + 2xy + y2) - (x^2 - 2xy + y^2)$

As we can observe inside each of the paranthesis only like terms have been added. It mean the required justification is

C. Combining like terms

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2 years ago

Group of baseball fans can see home plate from a 40 meter tall building outside the stadium. The angle of vision has a tangent o

dimulka [17.4K]

Answer:

17.78 meters

Step-by-step explanation:

Let

x ----> the horizontal distance, in meters, to home plate

$\theta$ ----> the angle of vision

we know that

$tan(\theta)=\frac{40}{x}$ ----> by TOA (opposite side divided by the adjacent side)

we have

$tan(\theta)=\frac{9}{4}$

substitute

$\frac{9}{4}=\frac{40}{x}$

solve for x

$x=40(4)/9\\x=17.78\ m$

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2 years ago

Color blindness is an inherited characteristic that is more common in males than in females. If M represents male and C represen

DerKrebs [107]

Answer:

The probability that a randomly selected person is not color blind is 0.958

Step-by-step explanation:

Given,

C represents red-green color blindness,

Also, the probability that a randomly selected person is color blind,

P(C) = 0.042,

Thus, probability that a randomly selected person is not color blind,

P(C') = 1 - P(C) = 1 - 0.042 = 0.958

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2 years ago

Quinn and randy both opened savings accounts with $50. Quinn deposited $25 each week for 4 weeks . randy deposited more than $25

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Your answer is D because his line needs to be slightly above +25 each time 50+25=75 so his line would be above 75

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1 year ago

Determine whether each statement is true or false. If a statement is true, give a reason or cite an appropriate statement from t

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Answer:

1) a. False, adding a multiple of one column to another does not change the value of the determinant.

2) d. True, column-equivalent matrices are matrices that can be obtained from each other by performing elementary column operations on the other.

Step-by-step explanation:

1) If the multiple of one column of a matrix A is added to another to form matrix B then we get: |A| = |B|. Here, the value of the determinant does not change. The correct option is A

a. False, adding a multiple of one column to another does not change the value of the determinant.

2) Two matrices can be column-equivalent when one matrix is changed to the other using a sequence of elementary column operations. Correc option is d.

d. True, column-equivalent matrices are matrices that can be obtained from each other by performing elementary column operations on the other.

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1 year ago