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allochka39001 [22]
3 years ago
7

WILL GIVE BRAINLIEST!

Mathematics
2 answers:
Gekata [30.6K]3 years ago
8 0

Answer:

Noah

Step-by-step explanation:

For Andre you would divide 208 words by 4 minutes getting 52 words per minute. Then, for Noah divide 342 words by 6 minutes getting 57 words per minute. Noah types faster because he can type more words per minute.

babymother [125]3 years ago
8 0

Answer: Noah

Step-by-step explanation:

Find Unit rate

208/4= 52 per minute

342/6= 57 per minute

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Ms. Carter has 30 boxes of books. Half of the boxes have 25 books and the other half have 50 books. How many books does she have
Nikitich [7]
15 x 25 = 375
15 x 50 = 750

375 + 750 = 1,125

She has 1,125 books. 
5 0
3 years ago
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Which of the following is equivalent to tan2θcos(2θ) for all values of θ for which tan2θcos(2θ) is defined?
Aloiza [94]

Answer:

2sin²θ - tan²θ

Step-by-step explanation:

Given

tan²θcos(2θ)

Required

Simplify

We start by simplifying cos(2θ)

cos(2θ) = cos(θ+θ)

From Cosine formula

cos(A+A) = cosAcosA - sinAsinA

cos(A+A) = cos²A - sin²A

By comparison

cos(2θ) = cos(θ+θ)

cos(2θ) = cos²θ - sin²θ ----- equation 1

Recall that cos²θ + sin²θ = 1

Make sin²θ the subject of formula

sin²θ = 1 - cos²θ

Substitute sin²θ = 1 - cos²θ in equation 1

cos(2θ) = cos²θ - (1 - cos²θ)

cos(2θ) = cos²θ - 1 +cos²θ

cos(2θ) = cos²θ + cos²θ - 1

cos(2θ) = 2cos²θ - 1

Substitute 2cos²θ - 1 for cos(2θ) in the given question

tan²θcos(2θ) becomes

tan²θ(2cos²θ - 1)

Open brackets

2cos²θtan²θ - tan²θ

------------------------

Simplify tan²θ

tan²θ = (tanθ)²

Recall that tanθ =  sinθ/cosθ

So, we have

tan²θ = (sinθ/cosθ)²

tan²θ = sin²θ/cos²θ

------------------------

Substitute sin²θ/cos²θ for tan²θ

2cos²θtan²θ - tan²θ becomes

2cos²θ(sin²θ/cos²θ) - tan²θ

Open bracket (cos²θ will cancel out cos²θ) to give

2(sin²θ) - tan²θ

2sin²θ - tan²θ

Hence, the simplification of tan²θcos(2θ) is 2sin²θ - tan²θ

Option E is correct

7 0
3 years ago
How do I prepare for the PSAT? Every time I take a practice test, I get stuck on a problem that is within my topic range, but fo
melamori03 [73]

Answer:

Maybe you can have someone read it to you to see if you can answer it that way after you answer it on your own a cupple of times

Step-by-step explanation:

8 0
3 years ago
Natalie consumes only apples and tomatoes. Her utility function is U(x, y) = x 2y 8 , where x is the number of apples consumed a
Kamila [148]

Answer:

16 apples.

Step-by-step explanation:

U(x, y) = x^2y^8

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Ratio of their Marginal Utilities

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Since Natalie’s income is $320

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Since x=16, Natalie will consume 16 apples.

6 0
3 years ago
Find the value of x that makes A || B.<br> x=?
Norma-Jean [14]

Answer:

78

Step-by-step explanation:

a

7 0
3 years ago
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