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Mashutka [201]
3 years ago
8

the temperature was 78°f at 3pm. each hour for the next ғoυr hours, the temperature decreased by 3°f. what was the temperature a

t 7 pm?
Mathematics
2 answers:
Bad White [126]3 years ago
4 0
At 7 pm, the temperature was 66*F

Temp = 78 - 3x where x = number of hours
78 - 3(7-3)
78 - 12 = 66
Inga [223]3 years ago
4 0
Use x in an equation

x=66
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A skull cleaning factory cleans animal skulls and other types of animals using flesh eating Beatles. The factory owner started w
shtirl [24]

Complete question is;

A skull cleaning factory cleans animal skulls and other types of animals using flesh eating Beatles. The factory owner started with only 13 adult beetles.

After 35 days, the beetle population grew to 26 adult beetles. How long did it take before the beetle population was 13,000 beetles?

Answer:

349 days.

Step-by-step explanation:

We are given;

Initial amount of adult beetles; A_o = 13

Amount of adult beetles after 35 days; A_35 = 26

Thus can be solved using the exponential formua;

A_t = A_o × e^(kt)

Where A_t is the amount after time t, t is the time and k is a constant.

Plugging in the relevant values;

26 = 13 × e^(35k)

e^(35k) = 26/13

e^(35k) = 2

35k = In 2

35k = 0.6931

k = 0.6931/35

k = 0.0198

Now,when the beetle population is 12000,we can find the time from;

13000 = 13 × e^(k × 0.0198)

e^(k × 0.0198) = 13000/13

e^(k × 0.0198) = 1000

0.0198k = In 1000

0.0198k = 6.9078

k = 6.9078/0.0198

k ≈ 349 days.

5 0
3 years ago
Find the average rate of change for the function f(x)=3.2 + 25
wel

The average rate of change of the function is: 3.2.

<h3>What is the Average Rate of Change for a Function?</h3>

Average rate of change = \frac{f(b) - f(a)}{b - a}

Given the function, f(x) = 3.2x + 25, the average rate of change over the interval of x = 2 to x = 6 would be calculated as shown below:

a = 2

b = 6

f(a) = f(2) = 3.2(2) + 25 = 31.4

f(b) = f(6) = 3.2(6) + 25 = 44.2

Average rate of change = (44.2 - 31.4)/(6 - 2) = 3.2.

Learn more about average rate of change on:

brainly.com/question/11627203

3 0
2 years ago
NEED HELP DUE IN 10 MINUTES!!!
slavikrds [6]
Where is the question? I would be more than happy to help you but you did not post a question
3 0
2 years ago
<img src="https://tex.z-dn.net/?f=if%20%5C%3A%20%28%20%5Cfrac%7B3%7D%7B4%7D%20%29%5E%7B6%7D%20%20%5Ctimes%20%28%20%5Cfrac%7B16%7
zhenek [66]

Answer:

2

Step-by-step explanation:

(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{x+2}

\frac{3^6}{4^6} \cdot \frac{16^5}{9^5}=\frac{4^{x+2}}{3^{x+2}}

\frac{3^6}{4^6} \cdot \frac{(4^2)^5}{(3^2)^5}=\frac{4^{x+2}}{3^{x+2}}

\frac{3^6}{4^6} \cdot \frac{4^{10}}{3^{10}}=\frac{4^{x+2}}{3^{x+2}}

\frac{3^6}{3^{10}} \cdot \frac{4^{10}}{4^6}=\frac{4^{x+2}}{3^{x+2}}

3^{-4} \cdot 4^{4}=4^{x+2}3^{-(x+2)}

This implies

x+2=4

and

-(x+2)=-4.

x+2=4 implies x=2 since subtract 2 on both sides gives us x=2.

Solving -(x+2)=-4 should give us the same value.

Multiply both sides by -1:

x+2=4

It is the same equation as the other.

You will get x=2 either way.

Let's check:

(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{2+2}

(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{4}

Put both sides into your calculator and see if you get the same thing on both sides:

Left hand side gives 256/81.

Right hand side gives 256/81.

Both side are indeed the same for x=2.

4 0
3 years ago
Find the slope of a line whose equation is 3X+6Y=9
Lisa [10]

To find the slope of the above equation, it is easiest to put it into slope-intercept form, y=mx + b, where the variable m represents the slope. To do this, we must isolate the variable y on the left side of the equation by using the reverse order of operations. First, we should subtract 3x from both sides of the equation.

3x + 6y = 9

6y = -3x + 9

Next, we should divide both sides of the equation by 6 to undo the coefficent of 6 on the variable y.

y = -1/2x + 3/2

Therefore, the slope of the line is -1/2 (the coefficient of the variable x in slope-intercept form).

Hope this helps!

8 0
3 years ago
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