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Step2247 [10]
4 years ago
10

Scott is using a 12-foot ramp to help load furniture into the back of a moving truck. If the back of the truck is 3.5 feet from

the ground, what is the horizontal distance fom where the ramp reaches the ground to the truck?
Mathematics
1 answer:
Vika [28.1K]4 years ago
7 0

Answer:

I'm not exactly sure but I think it is 8.5

Step-by-step explanation:

I did 12-3.5=8.5

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Explain how solving 8+2 can help you solve 80+20.
katrin [286]
Becuase 80 is the same as 8 but has an extra 0 at the end (which makes it 80) and same for 20 to 2. 8 + 2 = 10 (now add a zero at the end). The answer should be 100.
5 0
3 years ago
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Select the correct answer.
castortr0y [4]

Answer:

The correct option is (B)58.41.

Step-by-step explanation:

The exponential decay function is as follows:

y=a(1-r)^{t}

Here,

<em>y = </em>final value

<em>a</em> = initial value

<em>r</em> = decay rate

<em>t</em> = time taken

It is provided that:

<em>a = </em>150 mg

<em>r</em> = 9% = 0.09

Then the next hour the amount of caffeine in the body will be:

y=a(1-r)^{t}\\=150\times (1-0.09)^{1}\\=136.5\ \text{mg}

Then after two hours the amount of caffeine in the body will be:

y=a(1-r)^{t}\\=150\times (1-0.09)^{2}\\=124.215\ \text{mg}

Similarly after 10 hours the amount of caffeine in the body will be:

y=a(1-r)^{t}\\=150\times (1-0.09)^{10}\\=58.4124\ \text{mg}\\\approx 58.41\ \text{mg}

Then the inequality representing the range of the exponential function that models this  situation is:

58.41

Thus, the correct option is (B).

6 0
4 years ago
Find the point slope equation the line that passes through the points (-3, 2) and (2, 12). use the first point in your equation
Nikitich [7]

Answer:

y-2=2(x+3)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(12-2)/(2-(-3))

m=10/(2+3)

m=10/5

m=2

y-y1=m(x-x1)

y-2=2(x-(-3))

y-2=2(x+3)

4 0
3 years ago
3(x-3)+4=3x-5<br> This question has how many solutions
Licemer1 [7]
All real numbers are solutions, let me know if you need an explanation luv
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3 years ago
Which function has a greater rate of change?
LiRa [457]

Given:

Graph of function 1.

The equation of function 2 is y=\dfrac{1}{2}x+7.

To find:

The function which has a greater rate of change.

Step-by-step explanation:

From the given graph it is clear that, the function 1 passes through two points (0,0) and (1,2). So, slope of function is

m=\dfrac{y_2-y_1}{x_2-x_1}

m=\dfrac{2-0}{1-0}

m=\dfrac{2}{1}

m=2

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On comparing the equation y=\dfrac{1}{2}x+7 with y=mx+b, where m is slope and b is y-intercept, we get

m=\dfrac{1}{2}

So, rate of change of function 2 is \dfrac{1}{2}.

Since, 2>\dfrac{1}{2}, therefore, function 1 has a greater rate of change.

7 0
3 years ago
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