Charlie drove 495 miles in 9 hours. How long would it take to drive 715 miles?

Answer:

572/55 = $10.4

or

(572 * 2)/ 55 = $20.8

Step-by-step explanation:

You divide the amount earned over the number of hours worked.

Or

if the paycheck is given monthly, the second option fits. Because $572 is half what they earned that month.

Answer:

Step-by-step explanation:

The y-intercept of the equation is -8.

You can test this by making X = 0 and solving algebraically. Similarly, if you make y = 0, you can solve the X value. This means X = 8/5

Co-ordinates (8/5, -8)

Parameterize this surface by

r (u, v) = 9 cos(u) sin(v) i + 9 sin(u) sin(v) j + 9 cos(v) k

with 0 ≤ u ≤ 2π and 0 ≤ v ≤ arccos(4/9)

See the attached sketch to see how we arrive at the upper limit for v.

Take the normal vector to the surface to be

n = ∂r/∂u × ∂r/∂v

n =  -81 cos(u) sin²(v) i -  81 sin(u) sin²(v) j - 81 sin(v) cos(v) k

which has magnitude

||n|| = 81 sin(v)

Then the surface area is

[tex]\displaystyle \iint_S \|\mathbf n\| \,\mathrm du\,\mathrm dv = 81 \int_0^{2\pi} \int_0^{\arccos(4/9)} \sin(v)\,\mathrm dv\,\mathrm du \\\\ = 162\pi \int_0^{\arccos(4/9)} \sin(v)\,\mathrm dv \\\\ = -162\pi (\cos\left(\arccos\left(\frac49\right) - \cos(0)\right) \\\\ = 162\pi \left(1 - \dfrac49\right) \\\\ = \boxed{90\pi}[/tex]

If you're not familiar with surface integrals, you can instead use what's sometimes called the projection method. Let

z = f(x, y) = √(81 - x ² - y ²)

(where we take the positive square root because we're looking at a part of the top half of the sphere)

Projecting the surface down onto the (x, y)-plane, we see that it casts a "shadow" of a disk with radius √(9² - 4²) = √65. (Use the Pythagorean theorem to solve for the missing side of the triangle in the sketch.)

Then the surface S considered above is hovering over the set in the (x, y)-plane,

D = {(x, y) : x ² + y ² ≤ 65}

The area is then

[tex]\displaystyle \iint_D \sqrt{1 + \left(\dfrac{\partial f}{\partial x}\right)^2 + \left(\dfrac{\partial f}{\partial y}\right)^2} \,\mathrm dx\,\mathrm dy[/tex]

It's easier to compute this integral in polar coordinates, so we take

x = r cos(t )

y = r sin(t )

dx dy = r dr dt

and the region D is given by the set

{(r, t ) : 0 ≤ r ≤ √65 and 0 ≤ t ≤ 2π}

Then the integral would be

[tex]\displaystyle \iint_D \sqrt{1 + \left(\dfrac{\partial f}{\partial x}\right)^2 + \left(\dfrac{\partial f}{\partial y}\right)^2} \,\mathrm dx\,\mathrm dy = \iint_D \sqrt{1 + \frac{x^2+y^2}{81-x^2-y^2}}\,\mathrm dx\,\mathrm dy \\\\ = \iint_D \sqrt{\frac{81}{81-x^2-y^2}}\,\mathrm dx\,\mathrm dy \\\\ = \int_0^{2\pi} \int_0^{\sqrt{65}} r \sqrt{\frac{81}{81-r^2}}\,\mathrm dr\,\mathrm dt[/tex]

Substitute s = 81 - r ² and ds = -2r dr :

[tex]\displaystyle \int_0^{2\pi} \int_0^{\sqrt{65}} r \sqrt{\frac{81}{81-r^2}}\,\mathrm dr\,\mathrm dt = 2\pi \int_0^{\sqrt{65}} r \sqrt{\frac{81}{81-r^2}}\,\mathrm dr \\\\ = -9\pi \int_{81}^{16} \frac{\mathrm ds}{\sqrt s} \\\\ = 9\pi \int_{16}^{81} s^{-1/2}\,\mathrm ds \\\\ = 18\pi \left(\sqrt{81} - \sqrt{16}\right) \\\\ = \boxed{90\pi}[/tex]

Answer:

7x3=21

Step-by-step explanation:

7+7+7=21, 7x3=21

Answer:

(n^3)/12

Step-by-step explanation:

1/12 * n^3

= (n^3)/12

Answer:

[tex]\sqrt[3]{\frac{1}{12} }[/tex] * n

Step-by-step explanation:

You want to get the n alone. In order to do that, you need to get rid of the 3rd power. The opposite of a power is a radical. So do:

[tex]\sqrt[3]{\frac{1}{12} }[/tex] * [tex]\sqrt[3]{n^3}[/tex]

This cancels out the n and turns the problem into:

[tex]\sqrt[3]{\frac{1}{12} }[/tex] * [tex]n[/tex]

I can't solve for n since I haven't been given the entire problem (what they're equal to), but you can solve for [tex]\sqrt[3]{\frac{1}{12} }[/tex].

Answer: The answer is steak's temperature = chicken's temperature since they are both -5.7°C

Answer:

B（1.4,0.4）

write x axis then y axis

it have 5line between 1 and 2

so 1/5＝0.2

one line mean0.2

Answer:

B（1.4,0.4）

write x axis then y axis

it have 5line between 1 and 2

so 1/5＝0.2

one line mean0.2

Answer:

It was on for 12.4 minutes

Step-by-step explanation:

Answer:

12.4

Step-by-step explanation:

rate of water = 1.5x

x = amount of time

18.6 = 1.5x

x = 12.4

Answer:

Step-by-step explanation:

x = 3

7=2

3-2=5

slope is 4/5

9514 1404 393

Answer:

  5.7×10^6 mi

Step-by-step explanation:

(1.9×10^5 mi/s) × (3.0×10^1 s) = 5.7×10^6 mi

_____

Additional comment

When I can see that the product will have a mantissa that has a value greater than 10 or less than 1, I like to adjust the factors so the mantissa of the product comes out in the range 1-10. Here, we could adjust 1.9 to 0.19, or 30 to 3.0. We chose the latter.

Moving the decimal point of 30.0 1 place to the left means we increase the corresponding exponent by 1 (from 0 to 1).  30.0×10^0 = 3.00×10^1

Answer:

-3

Step-by-step explanation:

hope it helps

The probability is equal to 0.9788.

We have given that,

Sociologists say that 85% of married women claim that their husband's mother is the biggest bone of contention in their marriages (sex and money are lower-rated areas of contention). Suppose that six married women are having coffee together one morning.

We have to find the probability

Probability all dislike is

[tex]0.85^8= 0.27[/tex]

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.

The probability that none dislike is,

[tex]0.15^8= 2.6 \times 10^{(-7)}[/tex]

At least 5 dislike

5 dislike 8C5

[tex](0.85)^5(0.15)^3= 0.0839[/tex]

6 dislike 8C6

[tex](0.85^6 0.15)^2= 0.2376[/tex]

7 dislike

[tex]8*(0.85^7) (0.15)=0.3848[/tex]

8 dislike

[tex]0.85^8= 0.2725[/tex]

Therefore the probability is equal to 0.9788.

To learn more about the probability visit:

https://brainly.com/question/25870256

#SPJ1

Answer:

$4.47

Step-by-step explanation:

If one pound is $1.49 then you would multiply it by 3 ro get how much 3 pounds would be.

$1.49 x 3 = $4.47

Hope this was helpful =D

If it was, maybe I could be brainiest?

No pressure! :)

Answer:

7 1/7 square mm

Step-by-step explanation:

Convert the two mixed numbers into improper fractions ( 3 1/3= 10/3 and 2 1/7= 15/7) and multiply, which gives the answer as 50/7, and then, convert them into mixed numbers again, which is 7 1/7 square mm.

The length of the shadow, h, to the nearest tenth of a foot is 86.6feet

To get the length of the shadow from the given question, we will use the trigonometry SOH CAH TOA

The required setup will give a right-angled triangle.

If a vertical pole, 75 feet tall, casts a shadow onto the ground, the opposite side of the triangle as shown will be 75 feet

The angle of elevation is 60 degrees

The length of the shadow will be the hypotenuse of the triangle as shown:

According to the trigonometry identity:

[tex]sin \theta = \frac{opp}{hyp}\\sin60^0 = \frac{75}{h}\\h = \frac{75}{sin60^0}\\h =\frac{75}{0.8660}\\h= 86.6feet[/tex]

Hence the length of the shadow, h, to the nearest tenth of a foot is 86.6feet

Learn more here: https://brainly.com/question/15580615

Answer:

1) 8 3/5

2) Option 3

Answer:

36 cm

hope it helps have a great day

Answer:

16:18

Step-by-step explanation:

4 * 4= 16

2*4=8

Therefore

The ratio is 16:8

Hope this helps

Have a nice day! :D

Give brainliest if possible pls :)

Answer:

40 Apples

Step-by-step explanation:

3/5 of the apples are good so divide 24 by 3 which is 8, then multiply 8 by 2 which is 16, add 24 and 16 together to get 40. Let me know if I'm wrong.

Answer: 250

Step-by-step explanation:

Answer:

I know this isn't really help but Desmos is a good place to help you with stuff like this.

Answer:

y-intercept = 34/5 (6.8), eqn, y = 0.4x +0.6

Step-by-step explanation:

Slope (m) = 0.4

(8-y)/(3-x) = o.4

8-y = 1.2 - o.4x

6.8 - y = -0.4x

y = 0.4x + 6.8

From y = mx + c , where c is the y-intercept

hence 6.8

Cost  $425.00

Markup  200 %

Revenue  $1,275

Profit  $850

To find markup percentage, businesses use the markup percentage formula:

Markup Percentage = (Markup / Cost) x 100% Determine markup. Markup is the difference between selling price and cost:

Markup = Selling Price - Cost. Divide markup by cost. ...

Markup Percentage = (Markup / Cost) Convert to a percentage.

Step-by-step explanation:

s=9×8/6

s=12.

hope this helps you.

Answer: 12

Step-by-step explanation:

using ratio;

[tex]\frac{6}{9}=\frac{8}{x}[/tex]

[tex]\frac{2}{3}=\frac{8}{x}[/tex]

[tex]x=\frac{(8)(3)}{2}[/tex]

[tex]x=\frac{24}{2}[/tex]

[tex]x=12[/tex]

please give me a brainliest answer

Using the normal distribution and the central limit theorem, it is found that there is a 0.0028 = 0.28% probability that the manufacturing line will be shut down unnecessarily.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The probability of being shutdown is the probability of a sample mean less than 0.73 inches or more than 0.77 inches. They are the same distance to the mean(0.02), thus, considering the Central Limit Theorem:

[tex]z = \frac{0.02}{s}[/tex]

[tex]z = \frac{0.02}{0.0067}[/tex]

[tex]z = 2.99[/tex]

The probability is P(|z| > 2.99), which is 2 multiplied by the p-value of z = -2.99.

z = -2.99 has a p-value of 0.0014.

2(0.0014) = 0.0028

0.0028 = 0.28% probability that the manufacturing line will be shut down unnecessarily.

A similar problem is given at https://brainly.com/question/25212662

Answer:

How

Step-by-step explanation:

You want to put picture in

Step-by-step explanation:

The value of g is already given. Replace g by 1 and find the value of x which is a negative two. After that, substitute and find that g is indeed equal to 1.

thankyou

Answer:

Slope of PQ

m

r

=

y

Q

−

y

P

x

Q

−

x

P

=

1

−

5

−

1

−

(

−

2

)

=

−

4

Slope of QR

m

p

=

y

R

−

y

Q

x

R

−

x

Q

=

3

−

1

7

−

(

−

1

)

=

1

4

Slope of RP

m

q

=

y

R

−

y

P

x

R

−

x

P

=

3

−

5

7

−

5

=

−

1

Since slopes PQ & PR,

m

r

=

−

1

m

p

, it's a right triangle