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3 years ago

8

Is

is what" alt="the square root of 196 is what" align="absmiddle" class="latex-formula">

1 answer:

Jet001 [13]3 years ago

6 0

Find the square root of a number is basically finding a perfect square. For example, the square root of 25 is 5 because when 5 is squared, you get 25.

√196 = 14

14^2 = 196

Best of Luck!

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If Adam and his family travel for 8 hr. at a constant rate of 50 mph, how many miles will they drive on the first day of their v

icang [17]

Answer:

B. 400 Miles

Step-by-step explanation:

Just take 8hrs and multiply it by 50mph to get an answer of 400.

Hope this helps :)

8 0

3 years ago

Read 2 more answers

Is it true that: If f"(c) > 0, then the slope of

zheka24 [161]

Answer:

yes

Step-by-step explanation:

the FIRST derivative of a function tells us the slope of a tangent line to the curve at any point. if is positive, then the curve must be increasing. If is negative, then the curve must be decreasing.

the SECOND derivative gives us the slope of the slope function (in other words how fast the slope of the original function changes, and if it is accelerating up - positive - or if it is avengers down - negative).

so, the first derivative would be fully sufficient to get the answer of if the slope of the function at that point is positive or negative.

but because it is only a "if" condition and not a "if and only if" condition, the statement is still true.

there are enough cases, where the slope is positive, but the second derivative is not > 0 (usually = 0).

but if even the second derivative is positive, then, yes, the slope of the original function must be positive too.

3 0

2 years ago

Amanda uses a rectangular canvas for a panting. The length is 6x-3 centimeters The width is 2x+6 centimeters,and is 4/5of the le

julia-pushkina [17]

Answer:

15 cm by 12 cm.

Step-by-step explanation:

Given:

Amanda uses a rectangular canvas for a panting.

The length is $6x-3$ centimeters.

The width is $2x+6$ centimeters, and is 4/5 of the length .

Question asked:

.What are the dimensions of the canvas ?

Solution:

<u>As given that the width is </u> $\frac{4}{5}$ of the length.

$2x+6=\frac{4}{5} (6x-3)\\ \\ 2x+6=\frac{4}{5}\times6x-\frac{4}{5}\times3\\ \\ 2x+6=\frac{24x}{5} -\frac{12}{5} \\ \\$

Adding both sides by $\frac{12}{5}$

$2x+6+\frac{12}{5} =\frac{24x}{5} -\frac{12}{5}+\frac{12}{5}\\ \\ 2x+\frac{42}{5} =\frac{24x}{5}$

Subtracting both sides by $2x$

$2x-2x+\frac{42}{5} =\frac{24x}{5} -2x\\ \\ \frac{42}{5} =\frac{24x-10x}{5} \\ \\ \frac{42}{5} =\frac{14x}{5} \\ \\$

By cross multiplication:-

$5\times14x=5\times42\\ \\ 70x=210\\ \\$

By diving both sides by 70

$x=3$

<u>Now, substituting the value:-</u>

The length = $6x-3$ cm

= $6\times3-3=18-3=15\ cm$

The width = $2x+6$ cm

= $2\times3+6=6+6=12\ cm$

Thus, length and width of canvas are 15 cm and 12 cm.

7 0

3 years ago

You invested $7,000 into a money market account for 10 years at an annual interest rate of 3%. How much is the accrued interest?

steposvetlana [31]

The total interest accrued is $2,407.41 if you invested $7,000 into a money market account for 10 years at an annual interest rate of 3%.

<h3>What is invested amount?</h3>

An investment is a payment made to acquire the securities of other firms with the intention of making a profit.

We are assuming the interest will be compounded annually

$\rm A = P(1+\dfrac{r}{n})^{nt}$

Where A = Final amount

P = Principal amount

r = annual rate of interest

n = how many times interest is compounded per year

t = How long the money is deposited or borrowed (in years)

We have:

P = $7000

r = 3% = 0.03

t = 10 years

n = 1

$\rm A = 7000(1+\dfrac{0.03}{1})^{1\times10}$

After calculating:

A = $9407.41

I = A - P = 9407.41 - 7000 = $2,407.41

Thus, the total interest accrued is $2,407.41 if you invested $7,000 into a money market account for 10 years at an annual interest rate of 3%.

Learn more about the invested amount here:

brainly.com/question/16995381

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4 0

2 years ago

Which value is an input of the function?

MissTica

Answer:

x

Step-by-step explanation:

the value of x is the input and value of y is the output

8 0

3 years ago