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olga55 [171]
3 years ago
13

Unit times for a job exhibit a learning effect. If the second unit took 30 hours, and the fourth unit took 21 hours, roughly how

many hours would you estimate the third unit took?
Mathematics
1 answer:
malfutka [58]3 years ago
6 0

Answer:

The answer is "24 Hours".

Step-by-step explanation:

The calculated time for 2^{nd}unit:

\to T_2 =T_1 \times (2)^{\frac{log(r)}{log(2)}}

        =30 ................(a)

Calculating the time for 4^{th}unit:

T_4=T_1\times (4)^{\frac{log(r)}{log(2)}}

     =21 ..............(b)

On dividing the value from equation (a) to (b):

 r= 0.7

Put the value of r into equation (a)  

T_1=42.8571

Calculating the value of time for 3^{rd} unit:

= 42.8571 \times (3)^{\frac{log(0.7)}{log(2)}} \\\\=24.35 \ Hours\\\\=24

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50 Points What is the value of r? 6.4r−5.9r=−3.25 Question 1 options: A -6.5 B 6.5 C -3
Oliga [24]

Answer:

Option A. -6.5

Step-by-step explanation:

we have

6.4r-5.9r=-3.25

Solve for r

That means ---> isolate the variable r

Combine like terns left side of the equation

0.5r=-3.25

Divide by 0.5 both sides

0.5r/0.5=-3.25/0.5

r=-6.5

4 0
3 years ago
Big ideas math 1.2 Practice A number 19
slega [8]

By applying Segment Addition Postulate, segment FH is equal to 24 units.

<h3>What is a point?</h3>

A point can be defined as a zero dimensional geometric object and it is generally represented by a dot.

<h3>What is a line segment?</h3>

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

<u>Given the following data:</u>

  • Line segment FG = 37.
  • Segment HG = 13.

Since point H lies on line segment FG, we would apply Segment Addition Postulate to determine segment FH as follows:

FG = HG + FH

37 = 13 + FH

FH = 37 - 13

FH = 24 units.

Read more on line segment here: brainly.com/question/17617628

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Complete Question:

Given that line segment FG = 37 and segment HG = 13, find segment FH.

4 0
2 years ago
Solve the equation.check your solution,if possible. 1/2s=4s-21
Sladkaya [172]
S=6

Solution
6/2=3
(6*4)=24
24-21=3
5 0
3 years ago
Nikita invests $2,000 into a bank account with a 4% annual interest rate. In seven years, which is the most expensive item she c
Stella [2.4K]

Answer:

Anything that does not cost more than $2,560.00

Step-by-step explanation:

Provided that Nikita is spending money that she had invested and the amount  she collected over the period of 7 years. She can buy any item that costs no more than $2,560.00 but how?

It is a problem of simple interest:

Here the principal amount (P) = $2,000.00

Interest rate (r) = 4%

Time period (t) = 7 years

So, total amount that she would get by the end of 7 years is:

A=P+SI

SI=\frac{P\times r\times t}{100}

Plugging the values we get:

SI=\frac{2000\times 4\times 7}{100}=560.00

So the interest collected over 7 years is $560.00

Therefore, the total amount after 7 years is:

\$2000.00+\$560.00=\$2,560.00

If Nikita is using this money then the most expensive item that she could buy will cost no more than $2,560.00.

6 0
3 years ago
HELP!!<br> Full Question in picture
drek231 [11]

a. The value of x is 7

b. The measure of ∠1 is 99°

<h3>Calculating angles </h3>

From the question, we are to solve for x

From the given diagram, we can write that

m∠NMQ + m∠MQN + m∠QNM = 180° (<em>Sum of angles in a triangle</em>)

From the given information,

m∠NMQ = 5x +19

m∠MQN = 8x -11

m∠QNM = 11x + 4

Then,

5x + 19 + 8x -11 + 11x + 4 = 180

Collect like terms

5x + 8x + 11x = 180 - 19 + 11 - 4

24x = 168

∴ x = 168/24

x = 7

Hence, the value of x is 7

b.
Measure of ∠1 + m∠QNM = 180° (<em>Sum of angles on a straight line</em>)

∴ Measure of ∠1 = 180° - m∠QNM

But m∠QNM = 11x + 4

∴ m∠QNM = 11(7) + 4

m∠QNM = 77 + 4

m∠QNM = 81°

Then,

Measure of ∠1 = 180° - 81°

Measure of ∠1 = 99°

Hence, the measure of ∠1 is 99°

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5 0
2 years ago
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