MATHEMATICS HIGH SCHOOL

Jerry paid $99.30 for 6 shirts. How much did Jerry pay for each shirt?

A.
$9.93

B.
$15.35

C.
$16.55

D.
$595.80

Answers

Answer 1
Answer: In order to get the answer, you have to divide $99.30 by 6. The answer is C) $16.55
Answer 2
Answer: your answer is c i promise you

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What are the real and imaginary parts of the complex number?

9+7i

Answers

Answer:

9 is the real part and 7i is the imaginary part

Step-by-step explanation:

A complex number is written in the form a+bi where a is the real part and bi is the imaginary part

9 = real part

7i is the imaginary part

Refer to the figure and find the volume V generated by rotating the given region about the specified line.R3 about AB

Answers

Answer:

Hence, volume is: (34\pi)/(45) cubic units.

Step-by-step explanation:

We will first express our our equation of the curve and the line bounded by the region in terms of the variable y.

i.e. the curve is rex=(1)/(16)y^4

and the line is given as:  x=(1)/(2)y

Since after rotating the given region R_(3) about the line AB.

we see that for the following graph

the axis is located at x=1.

and the outer radius(R) is: (1)/(16)y^4

and the inner radius(r) is:  (1)/(2)y

Now, the area of the graph= area of the disc.

Area of graph=\pi(R^2-r^2)

Now the volume is given as:

Volume=\int\limits^2_0 {Area} \, dy

On calculating we get:

Volume=(34\pi)/(45) cubic units.

The volume V generated by rotating the given region about the specified line R3 about AB is \boxed{\frac{{34\pi }}{{45}}{\text{ uni}}{{\text{t}}^3}}.

Further explanation:

Given:

The coordinates of point A is \left( {1,0} \right).

The coordinates of point B is \left( {1,2} \right).

The coordinate of point C is \left( {0,2} \right).

The value of y is y = 2\sqrt[4]{x}.

Explanation:

The equation of the curve is y = 2\sqrt[4]{x}.

Solve the above equation to obtain the value of x in terms of y.

\begin{aligned}{\left( y \right)^4}&={\left( {2\sqrt[4]{x}} \right)^4} \n{y^4}&=16x\n\frac{1}{{16}}{y^4}&= x\n\end{aligned}

The equation of the line is x = (1)/(2)y.

After rotating the region {R_3} is about the line AB.

From the graph the inner radius is {{r_2} = (1)/(2)y and the outer radius is {{r_1}=\frac{1}{{16}}{y^4}.

{\text{Area of graph}}=\pi\left( {{r_1}^2 - {r_2}^2} \right)

Area = \pi\left( {{{\left({\frac{1}{{16}}{y^4}} \right)}^2} - {{\left({(1)/(2)y} \right)}^2}}\right)

The volume can be obtained as follows,

\begin{aligned}{\text{Volume}}&=\int\limits_0^2 {Area{\text{ }}dy}\n&=\int\limits_0^2{\pi \left( {{{\left({\frac{1}{{16}}{y^4}} \right)}^2} - {{\left( {(1)/(2)y} \right)}^2}} \right){\text{ }}dy}\n&= \pi \int\limits_0^2 {\left( {\frac{1}{{256}}{y^8} - (1)/(4){y^2}} \right){\text{ }}dy}\n\end{aligned}

Further solve the above equation.

\begin{aligned}{\text{Volume}}&=\pi \left[ {\int\limits_0^2 {\frac{1}{{256}}{y^8}dy - } \int\limits_0^2{(1)/(4){y^2}{\text{ }}dy} } \right]\n&= \frac{{34\pi }}{{45}}\n\end{aligned}

The volume V generated by rotating the given region about the specified line R3 about AB is \boxed{\frac{{34\pi }}{{45}}{\text{ uni}}{{\text{t}}^3}}.

Learn more:

1. Learn more about inverse of the functionbrainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Volume of the curves

Keywords: area, volume of the region, rotating, generated, specified line, R3, AB, rotating region.

12. Daniel scored a 90% on his first math test. If Daniel worked 18 problems correctly, how many problems were on the test?​

Answers

Answer:

20

Step-by-step explanation:

Simplifies to 9/10 which is 90%. Hope this helps!

Given the function y = 5x – 7, how does the y-value change as x increases by 1 A. The y-value decreases by 7. B. The y-value decreases by 2. C. The y-value increases by 12. D. The y-value increases by 5.

Answers

when will this ever be useful in life ever

which of the following is not an example of a graph of a single variable? a. a pie chart b. a bar graph c. a time-series graph

Answers

I think the answer would be a bad graph

In a version of the game of roulette, a steel ball is rolled onto a wheel that contains 19 red, 19 black and 2 green slots. If the ball is rolled 25 times, the probability that it falls into the green slots two or more times:___________.

Answers

Answer:

The probability is 0.3576

Step-by-step explanation:

The probability for the ball to fall into the green ball in one roll is 2/1919+2 = 2/40 = 1/20. The probability for the ball to roll into other color is, therefore, 19/20.

For 25 rolls, the probability for the ball to never fall into the green color is obteined by powering 19/20 25 times, hence it is 19/20^25 = 0.2773

To obtain the probability of the ball to fall once into the green color, we need to multiply 1/20 by 19/20 powered 24 times, and then multiply by 25 (this corresponds on the total possible positions for the green roll). The result is 1/20* (19/20)^24 *25 = 0.3649

The exercise is asking us the probability for the ball to fall into the green color at least twice. We can calculate it by substracting from 1 the probability of the complementary event: the event in which the ball falls only once or 0 times. That probability is obtained from summing the disjoint events: the probability for the ball falling once and the probability of the ball never falling. We alredy computed those probabilities.

As a result. The probability that the ball falls into the green slot at least twice is 1- 0.2773-0.3629 = 0.3576
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