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zlopas [31]
2 years ago
13

The table of values represents a continuous function.

Mathematics
1 answer:
lesantik [10]2 years ago
8 0

Answer: the answer is d

Step-by-step explanation:

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Someone please help!!
Monica [59]
I think the correct answer here would be 1.8 units because this is a proportional triangle. Since we know the larger height is 5, and the smaller height is 1, we know that if we divide 9 by 5 (to create the same proportion) we will find that x=1.8. 
3 0
4 years ago
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
generate and solve another division problem with the same quotient and remainder as the two problems below. Explain your strateg
Zarrin [17]

Answer:

The dividend is 51 and the divisor is 13.

Step-by-step explanation:

Since the remainder is 12, so the divisor must be greater than 12.

So, we can choose any number as a divisor which is greater than 12.

Assume the divisor is 13.

So, when we divide the dividend say, x by the divisor 13 then the quotient will be 3 and the remainder will be 12.

Therefore, x = 13 × 3 + 12 = 51

So, the dividend is 51 and the divisor is 13. (Answer)

4 0
4 years ago
Cassie has 10 feet of string to make 15 beaded bracelets. She needs 9 inches
yulyashka [42]

Answer:No

Step-by-step explanation:

10 feet is 120 inches, to make 15 bracelets she needs 15*9= 135 inches, 120 inches is not enough

6 0
3 years ago
Question: You can work 40 hours per pay period while attending school earning $12.50 an hour. There are two pay periods per mont
77julia77 [94]

1) Based on the information, the following taxation calculations can be made:

a) Gross Pay per pay period: $500

b) Taxable Income per pay period: $425

c) Since you pay 11% in federal taxes, the Federal tax withholding per pay period is <u>$46.75</u>.

2) The State tax withholding per pay period is <u>$20</u>.

3) The calculation of FICA, Medicare, and the Net Pay per pay period is as follows:

FICA withholding per pay period: $25.50

Medicare withholding per pay period: $6.16

Net Pay per pay period = $326.59

<h3>Data and Calculations:</h3>

Total hours worked per pay period = 40 hours

Rate per hour = $12.50

Pay periods per month = 2

Gross pay per pay period = $500 (40 x $12.50)

<h3>Deductions per pay period:</h3>

Health care = $25

401K deduction = $50

Total deductions per pay period = $75

Taxable income per pay period = $425 ($500 - $75)

Federal taxes = 11%

Federal tax withholding per pay period: $46.75 ($425 x 11%)

Annual taxable income = $10,200 ($425 x 24)

State withholding tax (annual) = $480 {$120 + ($10,200 - $5,000) x 5%}

State withholding tax per pay period = $20 ($480/24)

FICA withholding per pay period: $25.50 ($425 x 6.2%)

Medicare withholding per pay period: $6.16 ($425 x 1.45%)

<h3>Net Pay per pay period:</h3>

Gross Pay $500

Total deductions $75

Taxable income = $425

Federal Withholding = $46.75

State Withholding = $20

]FICA Withholding = $25.50

Medicare Withholding = $6.16

Net Pay per pay period = $326.59

Learn more about computing the net pay at brainly.com/question/15858747

#SPJ1

6 0
2 years ago
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