Which form of the adverb is underlined in the sentence?

A wire of length 7x is bent into the shape of a square. Express the area A of the square as a function of z.

Nostrana [21]

7×

4+4+4+4

4+4=8

8+8=16

3 0

2 years ago

What is 315 times 30

tia_tia [17]

9,450
hope I helped....

4 0

2 years ago

Read 2 more answers

What is the equation of a line thats passes through point (10, 5) and is perpendicular to the line whose equation is y=5/4x-2

Sauron [17]

Answer: y = -4x/5 + 13

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

c represents the y intercept

m represents the slope of the line.

The equation of the given line is

y = 5x/4 - 2

Comparing with the slope intercept form, slope = 5/4

If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line.

Therefore, the slope of the line passing through (10, 5) is - 4/5

To determine the y intercept, we would substitute m = - 4/5, x = 10 and y = 5 into y = mx + c. It becomes

5 = - 4/5 × 10 + c

5 = - 8 + c

c = 5 + 8 = 13

The equation becomes

y = -4x/5 + 13

4 0

2 years ago

What are the zeros of the polynomial function: f(x) = x3 – 5x2 -6x

shepuryov [24]

The zeros of the polynomial function: f(x) = x^3 – 5x^2 -6x is -1, 0, 6.

Solution:

Given, polynomial equation is $x^{3}-5 x^{2}-6 x$

We have to find the zeroes of the given polynomial.

So, let us equate it with 0.

$\begin{array}{l}{\text { Then, } x^{3}-5 x^{2}-6 x=0} \\\\ {\rightarrow x\left(x^{2}-5 x-6\right)=0} \\\\ {\rightarrow x\left(x^{2}-(6-1) x-6\right)=0} \\\\ {\rightarrow x\left(x^{2}-6 x+x-6\right)=0} \\\\ {\rightarrow x(x(x-6)+1(x-6))=0} \\\\ {\rightarrow x(x-6)(x+1)=0} \\\\ {\rightarrow x=0 \text { or } x-6=0 \text { or } x+1=0} \\\\ {\rightarrow x=0 \text { or } 6 \text { or }-1}\end{array}$

Hence, the roots of the given polynomial are -1, 0, 6.

6 0

2 years ago

Yolanda invests $30,000 in an account that offers a compound interest rate of 7.9% per year. Which of the following is the corre

sveticcg [70]

To solve this, we are going to use the compound interest formula: $A=P(1+ \frac{r}{n} )^{nt}$
where
$A$ is the final amount after $t$ years
tex]P[/tex] is the initial investment
$r$ is the interest rate in decimal form
$n$ is the number of times the interest is compounded per year
$t$ is the time in years

We know form our problem that the initial invest is $30,000 and the period is ten years, so $P=30000$ and $t=10$ . We also know that the interest is compounded one time per year, so $n=1$ . To convert the interest rate to decimal form, we are going to divide the rate by 100%
$r= \frac{7.9}{100}$
$r=0.079$
Lets replace the values in our formula:
$A=P(1+ \frac{r}{n} )^{nt}$
$A=30000(1+ \frac{0.079}{1} )^{(1)(10)}$
$A=3000(1+0.079)^{10}$
Replacing $A$ with $P_{10}$ :
$P_{10}=3000(1+0.079)^{10}$

We can conclude that the correct answer is D. $P_{10}=3000(1+0.079)^{10}$

Now, to find much Yolanda will have after 10 years, we just need to perform the operations in our equation:
 $P_{10}=3000(1+0.079)^{10}$
$P_{10}=30000(1.079)^{10}$
$P_{10}=64170.54$

We can conclude that Yolanda will have $64,170.54 in her account after ten years of earning a compound interest rate of 7.9% per year.

5 0

3 years ago