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Inga [223]
4 years ago
15

For the given decimal −0.009, find the two integers closest to it.

Mathematics
1 answer:
asambeis [7]4 years ago
7 0

Answer:

The two integers closest to -0.009 are -1 and 0

Step-by-step explanation:

we have the number

-0.009

Convert to fraction number

-0.009=-\frac{9}{1,000}

In a number line

-\frac{1,000}{1,000} < -\frac{9}{1,000}

Remember that

-\frac{1,000}{1,000}=-1\\\frac{0}{1,000}=0

so

-1 < -\frac{9}{1,000}

therefore

The two integers closest to -0.009 are -1 and 0

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There was no snow on the ground when it started falling at midnight at a constant rate of 1.5 inches per hour. At
anyanavicka [17]

Answer:

The depth of snow at 9:00 am was 19 inches.

Step-by-step explanation:

Consider the provided information.

Let x represents the number of hours and S(x) represents the depth of snow.

There was no snow on the ground when it started falling at midnight at a constant rate of 1.5 inches per.

That means the depth of snow will be:

S(x)=1.5x\ \ \ 0\leq x< 4

At  4:00 a.m., it starting falling at a constant rate of 3 inches per hour,

S(x)=3(x-4)+6\ \ \ 4\leq x

7:00 a.m. to 9:00 a.m., snow was  falling at a constant rate of 2 inches per hour.

S(x)=2(x-7)+15\ \ \ 7\leq x\leq 9

The required piece-wise linear function is

\left\{\begin{matrix}1.5x & 0\leq x

We need to find the how deep was the snow at 9:00 am

For 9:00 am we will choose the function which can take the value of x=9

Substitute the value of x=9 in S(x)=2(x-7)+15

S(x)=2(9-7)+15

S(x)=2(2)+15

S(x)=19

Hence, the depth of snow at 9:00 am was 19 inches.

3 0
3 years ago
The vertices of ΔGHI are G(-3,0), H(-5,-5), and I(1,-5). What are the coordinates of the image after being reflected over the y-
s2008m [1.1K]
After reflecting the points of triangle GHI over the y axis, the new points will be:
G' (3,0)
H' (5,-5)
I' (-1,-5)


6 0
3 years ago
Explain how you would determine if these amounts are the same or
Inga [223]

Answer: they are he same as 75%

Step-by-step explanation:

onvert 3/4 to a percent. Begin by converting the fraction 3/4 into decimal. Multiply the decimal by 100 and write the result with the percentage sign: 0.75 × 100 = 75%.

6 out of 8 can be written as 6/8 and equals to 75%. Let's understand the conversion of a fraction to a percentage. To find the percent for this fraction, we have to find the number of parts that would be shaded out of 100. To convert a fraction to percent, we multiply it by 100/100.

3 0
3 years ago
the function h(t)=-16t^2+110t+72 models the height h, in feet, of an object above ground t seconds after being launched straight
Anettt [7]

Answer:

The initial height of an object above ground before being launched straight up in the air

Step-by-step explanation:

we have

h(t)=-16t^{2}+110t+72

we know that

The number 72 represent the y-intercept of the function

The y-intercept is the value of y when the value of x is equal to zero

In this problem

The value of h when the value of t is zero

Therefore

The initial height of an object above ground before being launched straight up in the air

7 0
3 years ago
An ice cream shop uses 4 pints of ice cream to make 6 sundaes how many pints of ice cream are used for each sundae
dsp73
0.666• To get the answer you divided 4 by 6.

4÷6=0.6666
3 0
3 years ago
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