What is the measure of the whole angle?

Answer:

9 pounds per hour

Step-by-step explanation:

18 pounds per 2 hours so just divide that by two

18÷2=9

9 pounds per hour

Answer:

11,520

Step-by-step explanation:

192×60

60 is the minute so

192×60=11520

Answer: a

Step-by-step explanation:

The quantity of pounds of dog food that Mrs. Evans should buy that would be enough for her dog = 720 ounces.

The total number of days the food is required to last = 90 days.

The quantity of dog food in ounce the dog eat per day = 4 × 2 = 8 ounces.

Therefore the quantity of pounds that will be enough for the dog for the whole 90 days would be = ?

That is;

1 day = 8 ounces

90 days = X

Make X the subject of formula;

X = 90× 8

= 720 ounces

Learn more about division here:

https://brainly.com/question/29793687

#SPJ1

Answer:

c=a2+b2=102+172≈19.72308

Step-by-step explanation:

a calculator bro its easy

The growth constant is 1.0986 and the trout population will increase to 14600 after 2.1 years. The result is obtained by using the logistic equation.

The increase of population can be found by using the logistic equation. It is

\(P(t) = \frac{K}{1 + Ae^{-kt} }\)

Where

Sunset Lake is stocked with the rainbow trout. We have

Find the growth constant k and time t when P(t) = 14600!

A = (K - P₀)/P₀

A = (28000 - 2800)/2800

A = 25200/2800

A = 9

After 1 year, we have 7000 rainbow trout. The growth constant is

\(7000 = \frac{28000}{1 + 9e^{-k(1)} }\)

\(1 + 9e^{-k} = 4\)

\(9e^{-k} = 3\)

\(e^{-k} = \frac{1}{3}\)

k = - ln (1/3)

k = 1.0986

Use k value to find the time when the population will increase to 14600!

\(14600 = \frac{28000}{1 + 9e^{-1.0986t} }\)

\(1.9178 = 1 + 9e^{-1.0986t}\)

\(0.9178 = 9e^{-1.0986t}\)

\(\frac{0.9178 }{9} = e^{-1.0986t}\)

\(t = \frac{ln \: 0.10198}{-1.0986}\)

t = 2.078

t ≈ 2.1 years

It is in another 1.1 years after t = 1.

Hence, the growth constant k is 1.0986 the population will increase to 14600 when t is 2.1 years.

Learn more about increase of population here:

brainly.com/question/13060148

#SPJ4

2/5 x 1/3 x 7/8 = 7/60, which, 7/60 is already in the simplest form. It can be written as 0.116667 in decimal form (rounded to 6 decimal places).

Answer:

X = - 31

Step-by-step explanation:

The < always faces the largest number so do. -10-20= - 30 so any number bellow that e.g.-31, -45 will be correct I think

By using a linear combination, we can write our number using only hundreds and ones as:

2,857 = 28*100 + 57*1

To write the number using only hundreds and ones we need to write our number as a linear combination of ones and hundreds, so we can write:

2,857 = a*100 + b*1

There are multiple solutions for this, we can use b to cover the ones and the tens, so:

57 = b*1

57 = b

And we can use a to cover the hundreds and thousands, so:

2,800 = a*100

2,800/100 = a

28 = a

Then we can write our number using only hundreds and ones as:

2,857 = 28*100 + 57*1

Learn more about linear combinations:

https://brainly.com/question/4658834

#SPJ1

Answer:

D) 60°

Step-by-step explanation:

Because TV and YZ are parallel, and TY and VZ are equal, angle T is equal to angle V.  Also, Y and Z would each be 120°.

Step-by-step explanation:

diameter is 8•5

radius is d/2

8•5/2

=4•25

surface area = 4πr^2

4×22/7×4•25×4•25

=1589•5/7

=227•1

Volume= 4/3πr^3

4/3×22/7×4•25×4•25×4•25

4/3×22/7×76•76

=321•7

Hope it helps

plz mark as brainliest

Answer: D. The equation has infinitely many solutions.

Step-by-step explanation:

Given equation: \(-9(x + 3) + 12 = -3(2x + 5) - 3x\)

\(\Rightarrow -9(x)+(-9)(3)+12=(-3)(2x)+(-3)(5)-3x\\\\\Rightarrow\ -9x-27+12=-6x-15-3x\\\\\Rightarrow\ -9x-15=-9x-15\\\\\Rightarrow\ -9x+9x=-15+15\\\\\Rightarrow\ 0=0\)

which is true.

This happens when all numbers are solutions.

i.e. The equation has infinitely many solutions.

Correct option : D.

Answer:

\(\frac{dh}{dt} = \frac{216}{1875\pi}\)

Step-by-step explanation:

Given

Represent radius with r and height with h

\(h = 12ft\)

\(r = 10ft\)

\(Rate = \frac{8ft^3}{min}\) when \(h = 10ft\)

Express radius in terms of height

\(\frac{r}{h} = \frac{10}{12}\)

\(\frac{r}{h} = \frac{5}{6}\)

\(r = \frac{5}{6}h\)

First, we need to determine the volume of the cone in terms of height.

\(Volume = \frac{1}{3}\pi r^2h\)

Substitute \(r = \frac{5}{6}h\)

\(V = \frac{1}{3} * \pi * (\frac{5}{6}h)^2 * h\)

\(V = \frac{1}{3} * \pi * \frac{25}{36}h^2 * h\)

\(V = \frac{1}{3} * \pi * \frac{25}{36}h^3\)

\(V = \frac{25}{108} \pi h^3\)

Differentiate both sides w.r.t time (t)

\(\frac{dV}{dt} = 3 * \frac{25}{108} \pi h^{3-1} * \frac{dh}{dt}\)

\(\frac{dV}{dt} = \frac{75}{108} \pi h^{2} \frac{dh}{dt}\)

Solve for \(\frac{dh}{dt}\)

\(\frac{dh}{dt} = \frac{dv}{dt} * \frac{108}{75\pi h^2}\)

At this point, \(h = 10\) and \(\frac{dv}{dt} = \frac{8ft^3}{min}\)

So, we have:

\(\frac{dh}{dt} = 8 * \frac{108}{75\pi 10^2}\)

\(\frac{dh}{dt} = \frac{8 * 108}{75\pi 10^2}\)

\(\frac{dh}{dt} = \frac{864}{7500\pi}\)

\(\frac{dh}{dt} = \frac{216}{1875\pi}\)

Hence:

The rate is \(\frac{216}{1875\pi} ft/min\)

Using implicit differentiation, it is found that the depth of water changes at a rate of -0.0764 feet per minute.

The volume of a cone of radius r and height h is given by:

\(V = \frac{\pi r^2h}{3}\)

Applying implicit differentiation, we can find it's rate of change, thus:

\(\frac{dV}{dt} = \frac{2\pi rh}{3}\frac{dr}{dt} + \frac{\pi r^2}{3}\frac{dh}{dt}\)

In this problem:

Then:

\(\frac{dV}{dt} = \frac{2\pi rh}{3}\frac{dr}{dt} + \frac{\pi r^2}{3}\frac{dh}{dt}\)

\(-8 = \frac{\pi (10)^2}{3}\frac{dh}{dt}\)

\(\frac{dh}{dt} = -\frac{24}{100\pi}\)

\(\frac{dh}{dt} = -0.0764\)

The depth of water changes at a rate of -0.0764 feet per minute.

A similar problem is given at https://brainly.com/question/9543179

Answer:

Step-by-step explanation:

1) 2^2 + 2^2 = c^2

4 + 4 = c^2

8 = c^2

c = sqrt8

2) 2^2 + 3^2 = c^2

4 + 9 = c^2

13 = c^2

c = sqrt13

3) 10^2 + 4^2 = c^2

100 + 8 = c^2

108 = c^2

c = sqrt108

4) 1^2 + 5^2 = c^2

1 + 25 = c^2

26 = c^2

c = sqrt26

5) 3^2 + 1^2 = c^2

9 + 1 = c^2

10 = c^2

c = sqrt 10

6) 9^2 + 9^2 = c^2

81 + 81 = c^2

162 = c^2

c = sqrt162

Answer:

Step-by-step explanation:

As I understand, you want to write a diameter, that currently is in scientific notation, in standard notation.

The standard notation is 0.0000084

First, scientific notation is a way to write really long numbers (particularly those that have a lot of zeros) in a shorter way.

The general form is:

Ax10^n

If n is positive, we add n zeros at the right of our number.

If n is negative, we add n zeros to the left.

Here we have:

8.4x10^-6

So n is negative, meaning that we need to add the zeros at the left (also remember to correctly change the position of the decimal point) we will get:

8.4x10^-6 = 0.0000084

This is the measure in standard notation.

If you want to learn more, you can read:

https://brainly.com/question/1705769

Answer:

6xy

Step-by-step explanation:

GCF of the given monomials consists of 3 parts:

Combined all, the greatest common factor is 6xy

Answer:

200

Step-by-step explanation:

200/10=20

Answer:

219.4

Step-by-step explanation:

Find the number in the tenth place 3 and look at the one place to the right for rounding digit 7. Round up if this number is greater than or equal to 5 and round down if it is less than 5. So the answer is 219.4

Answer:

he has 46.1538462% left

Step-by-step explanation:

7/13 = 0.538461538

1 - 0.538461538 = 0.461538462

Answer:

B

Step-by-step explanation:

A triangular prism is described as a triangle stretched on the third dimension, so the bottom of it will be a square or a rectangle. Two of the sides will also be squares or rectangles. B is the only option that applies to BOTH of these requirements.

Answer:

B

hope it helped !!

Answer:

Your answer is in the screenshot

Step-by-step explanation:

Plz mrk brainliest

The rate at which the depth of the liquid is increasing when it reaches one-third of the height of the bowl is (7/3)π cm³/s.

To ascertain the rate at which the liquid's depth rises, let's find the derivative of the depth function with respect to time.

Let;

The rate of change of the volume of the liquid with respect to time is constant and equal to 7π cm³/s.

To determine the height of the bowl, we can evaluate the curve y = [-4 / (8 - x)] - 1 when x = 4 and y = 7.6 and then find the absolute difference between the values.

h = |[-4 / (8 - 4)] - 1 - [-4 / (8 - 7.6)] - 1|

Let's calculate the rate at which the depth rises when it reaches one-third of the bowl's height.

D = depth of bowl

Using this relationship from the question given;

D = (1/3) * h

In order to determine the rate at which D will change with respect to time, let's differentiate both sides of the equation.

dD/dt = (1/3) * dh/dt

Since dh/dt is the rate at which the depth of the liquid is changing, which is constant and equal to 7π cm³/s, we can substitute it into the equation:

dD/dt = (1/3) * (7π)

Simplifying, we have:

dD/dt = (7/3)π cm³/s

Learn more on rate of change of volume here;

https://brainly.com/question/22716418

#SPJ1

22 x 47,389 = 1,042,558

please give brainliest

Answer:

3zx-15z+12x-60

Step-by-step explanation:

first do parenthesis and distribute (z+4)(x-5) into zx-5z+4x-20

then distribute the 3 to get the answer

The value of tan 2π/3 without calculator is -√3.

The value of tan 2π/3 without calculator is calculated by applying trig identities as follows;

the value of π = 180 degrees

So we can replace the value of π in the function with 180 degrees as follows;

tan ( 2π / 3) = tan (2 x 180 / 3)

tan (2 x 180 / 3) = tan (2 x 60)

tan (2 x 60) = tan (120)

tan (120) if found in the second quadrant, and the value will be negative since only sine is positive in the second quadrant.

tan (120) = - tan (180 - 120)

= - tan (60)

= -√3

Learn more about trig identities here: https://brainly.com/question/7331447

#SPJ1

Answer:

Step-by-step explanation: evagline has 3/5 of box of nuts.she uses it to fill 6 bowls

Answer:

I believe it is (C).

This runner’s time was slower than the mean time by 0.75 standard deviations.

ED2021

Answer:

B) This runner’s time was faster than the mean time by 1.08 standard deviations.

Step-by-step explanation:

The runner is FASTER because of the negative z score