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forsale [732]
3 years ago
10

Translate the sentence into an equation. Twice the difference of a number and 7 is 5. Use the variable x for the unknown number.

​
Mathematics
1 answer:
goblinko [34]3 years ago
5 0

Answer:

Step-by-step explanation:

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Based on a study of population projections for 2000 to​ 2050, the projected population of a group of people​ (in millions) can b
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Answer:

(a) 0.107 million per year

(b) 0.114 million per year

Step-by-step explanation:

A(t) = 11.19(1.009)^t

(a) The average rate of change between 2000 and 2014 is determined by dividing the difference in the populations in the two years by the number of years. In the year 2000, t=0 and in 2014, t=14. Mathematically,

\text{Rate}=\dfrac{A(2014) - A(2000)}{2014-2000}=\dfrac{11.19(1.009)^14-11.19(1.009)^0} {14}

A(0)=\dfrac{12.69-11.19}{14}=\dfrac{1.5}{14}=0.107

(b) The instantaneous rate of change is determined by finding the differential derivative at that year.

The result of differentiating functions of the firm y=a^x (where a is a constant) is \dfrac{dy}{dx}=a^x\ln a. Let's use in this in finding the derivative of A(t).

A\prime(t) = \dfrac{A}{t}=11.19\cdot1.009^t\ln1.009

In the year 2014, t=14.

A\prime(14) =11.19\cdot1.009^14\ln1.009=0.114

6 0
3 years ago
In which quadrant will θ lie if csc θ > 0 and cos θ < 0?
musickatia [10]

\csc\theta=\dfrac{1}{\sin\theta}

We know:

\sin\theta > 0 in I and II quadrant

\cos\theta < 0 in II and III quadrant

Therefore your answer is:

<h3>θ is in II quadrant</h3>
7 0
3 years ago
A figure was translated 5 units down and 6 to the left and then reflected over the line
aivan3 [116]

Answer:

C

Step-by-step explanation:

only a dilation would make the figures not congruent/similar

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Answer:

84 sq. units

Step-by-step explanation:

<u>Total area is:</u>

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  • 36 + 12*√16=
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5 0
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$330 for 14 ft2 <br><br> round to the nearest hundred if necessary
Solnce55 [7]

Answer:

uh ig 23.57 for 1 square feet.

Step-by-step explanation:

4 0
3 years ago
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