1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vlada-n [284]
2 years ago
15

Christine runs 6 miles in 50 minutes. At the same rate, how many miles would she run in 35 minutes?

Mathematics
1 answer:
goldenfox [79]2 years ago
5 0

6/50 = X/35 =

50x/210

210/50 =4.2

 she can run 4.2 miles in 35 minutes

You might be interested in
Please help I have attached photo would appreciate any help
Dafna1 [17]

Answer:

the answer is (D) zero .

5 0
3 years ago
Read 2 more answers
Hey uh can anyone help me with this? This is a test and I dont need an explanation since its the last day of the marking period,
Archy [21]

Answer:

Look at explanation.

Step-by-step explanation:

<em><u>Dilation of scale factor of 5, because it would become more wide and open by a factor of 5. Reflection over y-axis, because it makes the shape double the size. Dilation of scale factor of 1/2, because it makes the shape half it's size.</u></em> The rotating 90 degrees would only change the shapes position, not the size. The translation would only move the shape to a different area, and not change the size.

8 0
2 years ago
Read 2 more answers
What is the midline of the function?<br> A. Y=0<br> B. Y=2<br> C. Y=1<br> D. Y=4pi
navik [9.2K]

Answer:

C

Step-by-step explanation:

The trig equation

a \sin(bx)  + d

where d represent the midline.

D is represented by positive 1 so y=1 is the midline.

4 0
2 years ago
99 POINT QUESTION, PLUS BRAINLIEST!!!
VladimirAG [237]
First, we have to convert our function (of x) into a function of y (we revolve the curve around the y-axis). So:


y=100-x^2\\\\x^2=100-y\qquad\bold{(1)}\\\\\boxed{x=\sqrt{100-y}}\qquad\bold{(2)} \\\\\\0\leq x\leq10\\\\y=100-0^2=100\qquad\wedge\qquad y=100-10^2=100-100=0\\\\\boxed{0\leq y\leq100}

And the derivative of x:

x'=\left(\sqrt{100-y}\right)'=\Big((100-y)^\frac{1}{2}\Big)'=\dfrac{1}{2}(100-y)^{-\frac{1}{2}}\cdot(100-y)'=\\\\\\=\dfrac{1}{2\sqrt{100-y}}\cdot(-1)=\boxed{-\dfrac{1}{2\sqrt{100-y}}}\qquad\bold{(3)}

Now, we can calculate the area of the surface:

A=2\pi\int\limits_0^{100}\sqrt{100-y}\sqrt{1+\left(-\dfrac{1}{2\sqrt{100-y}}\right)^2}\,\,dy=\\\\\\= 2\pi\int\limits_0^{100}\sqrt{100-y}\sqrt{1+\dfrac{1}{4(100-y)}}\,\,dy=(\star)

We could calculate this integral (not very hard, but long), or use (1), (2) and (3) to get:

(\star)=2\pi\int\limits_0^{100}1\cdot\sqrt{100-y}\sqrt{1+\dfrac{1}{4(100-y)}}\,\,dy=\left|\begin{array}{c}1=\dfrac{-2\sqrt{100-y}}{-2\sqrt{100-y}}\end{array}\right|= \\\\\\= 2\pi\int\limits_0^{100}\dfrac{-2\sqrt{100-y}}{-2\sqrt{100-y}}\cdot\sqrt{100-y}\cdot\sqrt{1+\dfrac{1}{4(100-y)}}\,\,dy=\\\\\\ 2\pi\int\limits_0^{100}-2\sqrt{100-y}\cdot\sqrt{100-y}\cdot\sqrt{1+\dfrac{1}{4(100-y)}}\cdot\dfrac{dy}{-2\sqrt{100-y}}=\\\\\\

=2\pi\int\limits_0^{100}-2\big(100-y\big)\cdot\sqrt{1+\dfrac{1}{4(100-y)}}\cdot\left(-\dfrac{1}{2\sqrt{100-y}}\, dy\right)\stackrel{\bold{(1)}\bold{(2)}\bold{(3)}}{=}\\\\\\= \left|\begin{array}{c}x=\sqrt{100-y}\\\\x^2=100-y\\\\dx=-\dfrac{1}{2\sqrt{100-y}}\, \,dy\\\\a=0\implies a'=\sqrt{100-0}=10\\\\b=100\implies b'=\sqrt{100-100}=0\end{array}\right|=\\\\\\= 2\pi\int\limits_{10}^0-2x^2\cdot\sqrt{1+\dfrac{1}{4x^2}}\,\,dx=(\text{swap limits})=\\\\\\

=2\pi\int\limits_0^{10}2x^2\cdot\sqrt{1+\dfrac{1}{4x^2}}\,\,dx= 4\pi\int\limits_0^{10}\sqrt{x^4}\cdot\sqrt{1+\dfrac{1}{4x^2}}\,\,dx=\\\\\\= 4\pi\int\limits_0^{10}\sqrt{x^4+\dfrac{x^4}{4x^2}}\,\,dx= 4\pi\int\limits_0^{10}\sqrt{x^4+\dfrac{x^2}{4}}\,\,dx=\\\\\\= 4\pi\int\limits_0^{10}\sqrt{\dfrac{x^2}{4}\left(4x^2+1\right)}\,\,dx= 4\pi\int\limits_0^{10}\dfrac{x}{2}\sqrt{4x^2+1}\,\,dx=\\\\\\=\boxed{2\pi\int\limits_0^{10}x\sqrt{4x^2+1}\,dx}

Calculate indefinite integral:

\int x\sqrt{4x^2+1}\,dx=\int\sqrt{4x^2+1}\cdot x\,dx=\left|\begin{array}{c}t=4x^2+1\\\\dt=8x\,dx\\\\\dfrac{dt}{8}=x\,dx\end{array}\right|=\int\sqrt{t}\cdot\dfrac{dt}{8}=\\\\\\=\dfrac{1}{8}\int t^\frac{1}{2}\,dt=\dfrac{1}{8}\cdot\dfrac{t^{\frac{1}{2}+1}}{\frac{1}{2}+1}=\dfrac{1}{8}\cdot\dfrac{t^\frac{3}{2}}{\frac{3}{2}}=\dfrac{2}{8\cdot3}\cdot t^\frac{3}{2}=\boxed{\dfrac{1}{12}\left(4x^2+1\right)^\frac{3}{2}}

And the area:

A=2\pi\int\limits_0^{10}x\sqrt{4x^2+1}\,dx=2\pi\cdot\dfrac{1}{12}\bigg[\left(4x^2+1\right)^\frac{3}{2}\bigg]_0^{10}=\\\\\\= \dfrac{\pi}{6}\left[\big(4\cdot10^2+1\big)^\frac{3}{2}-\big(4\cdot0^2+1\big)^\frac{3}{2}\right]=\dfrac{\pi}{6}\Big(\big401^\frac{3}{2}-1^\frac{3}{2}\Big)=\boxed{\dfrac{401^\frac{3}{2}-1}{6}\pi}

Answer D.
6 0
3 years ago
Read 2 more answers
The right rectangular prism shown below is made of equal-sized cubes. The side length of each cube is 2 1/2 inches. What is the
mr_godi [17]

The image of the right rectangular prism is missing, so i have attached it.

Answer:

volume of the right rectangular prism = 625 in³

Step-by-step explanation:

The rectangular prism is made of equal-sized cubes. Thus, let's first find the volume of 1 cube.

Formula for volume of one cube is;

V = a³

where

a is the length of one side of the cube

We are told that this length is 2½ inches

Thus;

a = 2½ = 5/2 inches

>> V = (5/2)³

>> V = 125/8 in³

Now, in the rectangular prism attached, if we count the number of cubes we have, it is equal to 40 cubes

Therefore, the volume of the prism is;

Volume of one cube × 40

>> volume of the prism = (125/8) × 40

volume of the prism = 625 in³

6 0
3 years ago
Other questions:
  • A 10-foot ladder leans against a wall with its foot braced 3 feet from wall’s base. How far up the wall does the ladder reach? S
    6·2 answers
  • The blue dot is at what value on the number<br> line?<br> ?<br> -16<br> -10
    5·1 answer
  • What is the surface area of a sphere with a radius of 5 in
    11·1 answer
  • A microscope can magnify the object it is looking at 10×4 times. How many times is that? (MCC.8.EE.3) A. 40,000 times B. 40 time
    7·1 answer
  • Denver is about 5,200 feet above sea level. Which number line best represents this integer?
    5·1 answer
  • 1/7 (x-3) = 5/7 ? solve for x.
    10·1 answer
  • Which of the following terms is not a monomial
    12·1 answer
  • Help with this question please thank you so much
    13·1 answer
  • After the new admission to the school, there is an increase of 30 percent of students. If the total number of students is now 12
    11·1 answer
  • I need to figure out which ones are irrational. please help
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!