All categories

3 years ago

Find the slope (or grade) of the treadmill shown. The grade of the treadmill is___%

Mathematics

1 answer:

prisoha [69]3 years ago

6 0

Answer:

grade=15%

Step-by-step explanation:

For 2 ft on x-axis it has elevated 0.3 ft on y-axis

m=0.3/2=0.15 ft

grade=m x 100

grade=15%

You might be interested in

HELP PICTURE IS SHOWN

Vedmedyk [2.9K]

The answer is c) 45 times PI cubed.

4 0

3 years ago

Construct a line through R that is perpendicular to the line

Tems11 [23]

Answer:

Can you retake the picture please, of the entire Problem?

Step-by-step explanation:

8 0

3 years ago

Kenneth has 2,000$ to invest

Katarina [22]

The calculations for 2, 4, 8 year can be derived as follows,

For simple interest:

S.I = $\frac{P*T*R}{100}$

P= principle

T= Time

R= Rate

For 2 year;

S.I = $\frac{2000*2*5.6}{100}$ = $224

Amount = $2224

For 4 year;

S.I = $\frac{2000*4*5.6}{100}$ = $448

Amount = $2448

For 8 year;

S.I = $\frac{2000*8*5.6}{100}$ = $896

Amount = $2896

7 0

3 years ago

Find the sum of the geometric series 512+256+ . . .+4

mario62 [17]

$\bf 512~~,~~\stackrel{512\cdot \frac{1}{2}}{256}~~,~~...4$

so, as you can see above, the common ratio r = 1/2, now, what term is +4 anyway?

$\bf n^{th}\textit{ term of a geometric sequence}\\\\a_n=a_1\cdot r^{n-1}\qquad \begin{cases}n=n^{th}\ term\\a_1=\textit{first term's value}\\r=\textit{common ratio}\\----------\\r=\frac{1}{2}\\a_1=512\\a_n=+4\end{cases}$

$\bf 4=512\left( \cfrac{1}{2} \right)^{n-1}\implies \cfrac{4}{512}=\left( \cfrac{1}{2} \right)^{n-1}\\\\\\\cfrac{1}{128}=\left( \cfrac{1}{2} \right)^{n-1}\implies \cfrac{1}{2^7}=\left( \cfrac{1}{2} \right)^{n-1}\implies 2^{-7}=\left( 2^{-1}\right)^{n-1}\\\\\\(2^{-1})^7=(2^{-1})^{n-1}\implies 7=n-1\implies \boxed{8=n}$

so is the 8th term, then, let's find the Sum of the first 8 terms.

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}\\\\S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases}n=n^{th}\ term\\a_1=\textit{first term's value}\\r=\textit{common ratio}\\----------\\r=\frac{1}{2}\\a_1=512\\n=8\end{cases}$

$\bf S_8=512\left[ \cfrac{1-\left( \frac{1}{2} \right)^8}{1-\frac{1}{2}} \right]\implies S_8=512\left(\cfrac{1-\frac{1}{256}}{\frac{1}{2}} \right)\implies S_8=512\left(\cfrac{\frac{255}{256}}{\frac{1}{2}} \right)\\\\\\S_8=512\cdot \cfrac{255}{128}\implies S_8=1020$

7 0

3 years ago

What number should be added to both sides of the equation to complete the square?<br> x2 + 12x = 11

makkiz [27]

given:

x² + 12x = 11

perfect square:

a² + 2ab + b²

a² = x² ⇒ x * x

2ab = 12x ⇒ 2(6)x

b² = 6² ⇒ 36

x² + 12x + 36 = 11 + 36

(x+6)(x+6) = 47

Both sides must be added with 36.

6 0

3 years ago

Read 2 more answers