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Deffense [45]
3 years ago
10

A machine in a laboratory is set to steadily increase the temperature inside. The temperature in degrees Celsius inside the mach

ine after being turned on is a function of time, in seconds, given by the equation f(t)=22+1.3t
1. What does f(3) mean in this situation?
2. Find the value of f(3) and interpret the value.
3. What does the equation f(t)=35 mean in this situation?
4. Solve the equation to find the value of t for the question.
Mathematics
2 answers:
vaieri [72.5K]3 years ago
6 0

Answer:

1) f(3) means the temperature after 3 seconds

2) f(3) = 22 + 1.3(3) = 25.9

Temperature after 3 seconds is 25.9°C

3) f(t) = 35 means after t seconds, temperature was 35°C

4) 35 = 22 + 1.3t

1.3t = 13

t = 10 seconds

Semenov [28]3 years ago
5 0

Step-by-step explanation:

<u>Step 1:  Answer the first question</u>

f(3) means the temperature after 3 seconds

<u>Step 2:  Answer the second question</u>

The value of f(3) = 22 + 1.3(3) → 25.9 degrees

The value of f(3) which is 25.9 means that after 3 seconds, the temperature is 25.9 degrees.

<u>Step 3:  Answer the third question</u>

f(t) = 35 means that after a t amount of seconds, the temperature is 35 degrees.

<u>Step 4:  Answer the fourth question</u>

f(t) = 35  so... 35 = 22 + 1.3t

35 - 22 = 22 - 22 + 1.3t

13 = 1.3t

13 / 1.3 = 1.3t / 1.3

10 = t

10 seconds

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viva [34]

The amount that Tonja will save in Federal Income and FICA Taxes if she has her childcare expenses deducted from her check before taxes is: $26.17

<h3>What is Federal Income Tax?</h3>

Federal Income Tax is a tax that is levied by the Federal Government and most states in the United States of America. It comprises of 7 tax rates.

<h3>What is FICA Tax?</h3>

FICA Tax is a Federal Insurance Contributions Act Tax. This tax is levied on every payroll of employees to fund Social Security and Medicare programs. This is divided into two parts:

  • Social Security Tax which is 6.2% and
  • Medicare Tax which is 1.45%. The total is 7.65%

How to calculate Tonja's Tax before deduction

Federal Tax rate first level is 10% on 0$ - $19,900.

1) Hence, the first tax is 10% on $600, which is $60

2) The next tax is FICA. This is applied to the Gross Pay of $600.

Applying both taxed under FICA we have 7.65% * $600 = $45.9

Total Tax before a deduction is:

$60 + $45.9 = $105.6

The Tax Payable if childcare expenses is deducted first will be:

10% on $450     = $45

7.65% on $450 = $34.43

Total                   = $79.43

Hence the tax savings will be:

105.6 - 79.43 = $26.17

Learn more about FICA Tax at:
brainly.com/question/3214345


3 0
2 years ago
PLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE I
Dovator [93]

Answer:

f

Step-by-step explanation:

5 0
3 years ago
Please help i dont know how to solve
den301095 [7]

Answer:

  sum(2^(n+1), for n=1 to 6)

Step-by-step explanation:

To answer this question, you need to know two things:

  • what is an expression for the n-th term
  • how many terms are there

__

The series shown is a geometric series with first term 4 and common ratio 8/4 = 2. The generic form of the n-th term is ...

  an = a1×r^(n-1) . . . . first term a1, common ratio r

You can use this form directly in your summation expression, or you can simplify it a bit.

  an = 4×2^(n-1) = (2^2)(2^(n-1)) = 2^(n-1+2)

  an = 2^(n+1)

__

The value 128 is 2^7, so n+1 = 7, or n=6 for that term

Your summation expression could be ...

  \displaystyle\sum_{n=1}^6{2^{n+1}}

_____

<em>Additional comment</em>

The n-th term can also be written as 2×2^n.

3 0
2 years ago
Find quotient and remainder of 8885/9​
kodGreya [7K]

Answer:

555553338.99991453384857582

3 0
3 years ago
Read 2 more answers
Please Help!
vampirchik [111]

Answer:

Smaller x: 1.20

Larger x: 5

Step-by-step explanation:

The zeros of a function h(x) are the values of x for whom h equals zero.

So, in your problem, we have

h (x) = (-4x -5)(-x +5)

h(x) = 0 when either(-4x+5) = 0 or (-x +5) = 0. So, we solve for both cases

Case 1

-4x+5 = 0

-4x = -5 *(-1)

4x = 5

x = 5/4

x = 1.20

Case 2

-x +5 = 0

-x = -5 *(-1)

x = 5

6 0
3 years ago
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