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2 years ago

What is the common ratio for the following geometric sequence? -500, 100 , -20, 4,....

1 answer:

3 0

The common ratio is -1/5.

Each number is the opposite (negative sign) and one fifth of the last one. This means to get the next term, you multiply by -1/5, so that is your common ratio.

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In ancient egypt, a scribe equated the area of a circle with a diameter of 9 units to the area of a square with a side length of

Rudik [331]

Answer:

$\pi =3.160494$

Step-by-step explanation:

step 1

Find the area of the circle with a diameter of 9 units

we know that

The area of a circle is equal to

$A=\pi r^{2}$

we have

$r=9/2=4.5\ units$ ----> the radius is half the diameter

substitute

$A=\pi (4.5)^{2}$

$A=20.25\pi\ units^2$

step 2

Find the area of a square with a side length of 8 units

we know that

The area of the square is

$A=b^2$

where

b is the length side of the square

we have

$b=8\ units$

substitute

$A=(8)^2=64\ units^2$

step 3

Equate the areas

$20.25\pi=64$

solve for $\pi$

$\pi =\frac{64}{20.25}=3.160494$

5 0

3 years ago

Kelly flies a distance of 2,100 miles. The trip takes 4 2/3 hours.

Ede4ka [16]

Answer:

450 miles per hour

Step-by-step explanation:

Kelly flies at a distance of 2,100 miles

The time taken for the trip is 4 2/3 hours

Therefore the rate of speed can be calculated as follows

= 2,100 ÷ 4 2/3

= 2,100 ÷ 14/3

= 2100 × 3/14

= 150 × 3

= 450 miles per hour

8 0

2 years ago

Read 2 more answers

E line plot below shows the amount of water Rickayla drinks in 10 days. Part a: how many cups of water did Rickayla drink in 10

Levart [38]

Answer:

$Total = 23\frac{1}{4}$ cups

Step-by-step explanation:

Incomplete question.

See attachment for line plot

Required

Total cups drank in 10 days

The number of x at the top of each dataset represent the frequency (i.e. number of cups) drank on that day.

To get the total, we simply multiply this frequency by the accompanying dataset.

So, we have:

$Total = 2 * 1\frac{1}{2} + 1 * 1\frac{3}{4} + 2 * 2 + 2 * 2\frac{3}{4} + 3 * 3$

Express fractions as improper fraction

$Total = 2 * \frac{3}{2} + 1 * \frac{7}{4} + 2 * 2 + 2 * \frac{11}{4} + 3 * 3$

Evaluate each product

$Total = 3 + \frac{7}{4} + 4 + \frac{11}{2} + 9$

Take LCM

$Total = \frac{12+ 7+16+22+36}{4}$

$Total = \frac{93}{4}$

$Total = 23\frac{1}{4}$

6 0

2 years ago

Which of the following are solutions to the equation below? Check all that apply. (3x - 5)2 = 19 O A. x= 19+ olm B. x= 119 +5 I

asambeis [7]

Solution

$(3x-5)^2=19$

For this case we can take square root in both sides and we have:

$3x-5=\pm\sqrt[]{19}$

And solving for x we got:

$x=\frac{5\pm\sqrt[]{19}}{3}$

then the solutions for this case are:

B and E

8 0

5 months ago

Which statement is true about the end behavior of the graphed function?

Sloan [31]

D. As the x-values go to negative infinity, the function's values go to positive infinity.

Step-by-step explanation:

In the diagram you notice as the values of x increase to the far negative value, the function's output values increase to positive infinity.

For example at ;

x=-2, f(x)=0

x=-3, f(x)= 16

x= -4, f(x)= >64

This shows that as x values approach -∞, f(x) approach +∞

Learn More

Behavior of a function:brainly.com/question/12052868

Keywords :statement, true,end behavior, graph, function

#LearnwithBrainly

7 0

3 years ago