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Kamila [148]
3 years ago
7

What two consecutive whole numbers lie between the square root of 55?

Mathematics
2 answers:
Kamila [148]3 years ago
6 0
\boxed{7 \ \textless \  \sqrt{55} \ \textless \  8}\\\\because\ 7^2=49 \ \textless \  55\ and\ 8^2=64 \ \textgreater \  55
Orlov [11]3 years ago
6 0
By using directly calculators that are capable of solving for square roots, we know that the value of the square root of 55 is approximately equal to 7.42. The whole numbers that are directly to the left and right of 7.42 in a number line are 7 and 8. Thus, the answer is 7 and 8. 
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Lelechka [254]
For every negative power you divide by 10

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If you drive your car for 4.5 hours at an average speed at 70 miles per hour how far did you go ?
vodka [1.7K]
I think it would be 315. because 4.5*70..but im not sure
3 0
3 years ago
Billy wants to live in the area defined by y < 3x − 6. Explain how you can identify the houses in which Billy is interested i
Nadusha1986 [10]
Check the picture below.

to graph an inequality, you pretty much first off, need to graph the "equality" or equation, so for y < 3x − 6, first off, graph the line <span>y = 3x − 6.

and then you do a "true" or "false" check.

now, if you look at the line below, it splits the grid in two sections, so, let's check a point in either section, if one is false, the other is true and the other way around.

so, let's check the region on the left-hand-side, hmmmm say point 0,0, the origin.

y < 3x - 6

y = 0,  x = 0  thus

0 < 3(0) - 6

0 < -6   <--- now, is that really true? is 0 lesser than -6? not quite, is false.

recall that on the negative side, the closer to 0, the larger the value, so -1 is much larger than -1,000,000.

because the point 0,0 yielded a false inequality, that region is the "false region" and thus not shaded, therefore, the other side must be the "true region", and thus we shade that then.

we can run a quick check on that btw, say on point 4,4

y =4,   x = 4  thus

4 < 3(4) - 6

4 < 12 - 6

4 < 8    <---- yeap, is true, 4 is lesser/smaller than 8.

hmm ohh yes, the line needs to be dashed for a < or >, because it "has that boundary but it does not include it", unlike </span>⩽ and ⩾, which is a solid line, because it has that boundary and it includes it too.

3 0
3 years ago
Find the equation of an exponential function in the form y = ab^x, given the points (0, 3) and (2, 108/25). Please simplify your
lilavasa [31]

We have the equation:

y=a\cdot b^x

We know two points and we will use them to calculate the parameters a and b.

The point (0,3) will let us know a, as b^0=1.

\begin{gathered} y=a\cdot b^x \\ 3=a\cdot b^0=a \\ a=3 \end{gathered}

Now, we use the point (2, 108/25) to calcualte b:

\begin{gathered} y=3\cdot b^x \\ \frac{108}{25}=3\cdot b^2 \\ 3\cdot b^2=\frac{108}{25} \\ b^2=\frac{108}{25\cdot3}=\frac{108}{3}\cdot\frac{1}{25}=\frac{36}{25} \\ b=\sqrt[]{\frac{36}{25}} \\ b=\frac{\sqrt[]{36}}{\sqrt[]{25}} \\ b=\frac{6}{5} \end{gathered}

Then, we can write the equation as:

y=3\cdot(\frac{6}{5})^x

5 0
1 year ago
you want to deposit $15,000 in a bank at an interest rate of 7% per year what is the future value of this money after 3 years
Assoli18 [71]
AMOUNT DEPOSITED: $15k ($15,000)
INTEREST RATE PER YEAR: 0.07% (7%)

STEPS:
→Multiply the amount deposited ($15k) by the interest rate per year (7%).
15,000 * 0.07
= $1,050 (interest earned in 1 year)

→Multiply the interest earned from the first year ($1,050) by the amount of years that you want to calculate (3 years)
$1,050 * 3
=3,150 (interest earned in 3 years)

→ Add the interest earned (in 3 years, in this particular equation) to the amount that you deposited ($15k)
$15,000 + $3,150
=$18,150

FINAL ANSWER: $18,150
5 0
3 years ago
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