Which choice correctly shows the line
y = -x?

9514 1404 393

Answer:

  1763.01 m³

Step-by-step explanation:

The height of the cylinder will be ...

  h = (18 m)sin(60°) = 9√3 m

The volume of the cylinder is ...

  V = Bh

where B is the area of the end circle.

  B = πr² = π(6 m)² = 36π m²

Then ...

  V = (36π m²)(9√3 m) ≈ 1763.01 m³

The volume of the cylinder is about 1763.01 m³.

Answer:

For f(x) =  x^2 - 2x + 1, the inverse is g(x) = √x + 1

For f(x) = 2 - 5*x the inverse is g(x) = (2 - x)/5

For f(x) =  5*(x - 2) the inverse is g(x) = x*(1/5) + 2

for f(x) = (x - 2)^2 - 1 the inverse is g(x) = √(x + 1) + 2

Step-by-step explanation:

If we have two functions f(x) and g(x) such that these functions are inverse, then we have:

f( g(x)) = x

and

g( f(x)) = x

Let's start with the function:

f(x) = x^2 - 2x + 1

Notice that we can rewrite this as:

f(x) = x^2 - 2*x + 1 = (x - 1)^2

Because this is a quadratic function, the inverse function needs to have a square root, then the inverse function can be the third or fourth one.

Let's try with the last one:

g(x) = √x + 1

Then:

f( g(x)) = ( √x + 1 - 1)^2 = (√x )^2 = x

g( f(x)) = √(x - 1)^2 + 1 = (x - 1) + 1 = x

Then for the function:

f(x) = x^2 - 2x + 1, the inverse is: g(x) = √x + 1

Now let's find the inverse for the second function:

f(x) = 2 - 5*x

The inverse of this function will be also a linear function, and the slope of the inverse will be the inverse of this slope, then the inverse may be the first or second options.

Let's try with:

g(x) = (1/5)*x - 2

Then:

f( g(x) ) = 2 - 5*((1/5)*x - 2) = 2 - x + 10

Then this g(x) is not the inverse of the function.

Let's try with g(x) = (2 - x)/5

Then:

f( g(x)) = 2 - 5*(2 - x)/5 = 2 - 2 + x = x

g( f(x)) =  (2 - 2 - 5*x)/5 = 5*x/5 = x

For the function f(x) = 5*(x - 2)

The inverse should be the remaining linear function:

g(x) = x*(1/5) + 2

Then:

f( g(x)) = 5*(x*(1/5) + 2 - 2) = 5*x*(1/5) = x

g( f(x)) = (5*(x - 2) )*(1/5) + 2 = (x - 2) +2 = x

For the last function, f(x) = (x - 2)^2 - 1

The inverse function will be:

g(x) = √(x + 1) + 2

The compositions are:

f( g(x)) = (√(x + 1) + 2 - 2)^2 - 1 = (√(x + 1))^2 - 1 = (x + 1) - 1 = x

g(f(x)) = √((x - 2)^2 - 1 + 1) + 2 = √((x - 2)^2 + 2 = x

Answer:

PLATO ANSWER

Step-by-step explanation:

Answer:

Arithmetic Mean: 65

Geometric Mean: 25

Step-by-step explanation:

Arithmetic Mean Formula: Sum / # of values

(5 + 125) / 2

130 / 2

65

Geometric Mean Formula: √Product of the values

√(5*125)

√625

25

Answer:y=6(2)*x

Step-by-step explanation:

Answer: I don't what you are asking it should be in color but if you don't know it is 1/7 of the square

Step-by-step explanation:

Answer:

85

Step-by-step explanation:

Scott took 7* math tests in one semester. His scores were 89 , 73 , 84 , 91 , 87 , 77 , 94.

Find the mean. To solve for the mean, add all the scores together, and divide by the amount of tests he took:

(89 + 73 + 84 + 91 + 87 + 77 + 94)/7

(595)/7 = 85

Scott's mean test score is 85.

~

Answer:

85

Step-by-step explanation:

1. Add up all the numbers

=595

2. Dvivde it by how many numbers their are.

=7

3. Divide

595/7

=85

Answer:

600 square feet

Step-by-step explanation:

I notice it says "Estimate" in bold. Therefore, you would round all of the measurements. They're all pretty simple to round (to the nearest tens place). From here, you subtract the length of the large room from the length of both rooms. So, 50 - 30 = 20. This is the length of the small room. We now multiply this by the width of the small room (since area of a rectangle is length * width) and we get:

20 * 30 = 600, our final answer

Hope it made sense. I would appreciate Brainliest, but no worries.

Answer:

B

Step-by-step explanation:

I am assuming that this ball is a perfect sphere.

The volume of a sphere is [tex]\frac{4}{3} *\pi *r^3[/tex]

We have the diameter, and in order to find the radius, we just have to divide by 2. 6/2=3. Now, we have to plug in the 3 to the equation.

[tex]\frac{4}{3} *\pi *3^3[/tex]

3 cubed is 27, so now we have [tex]\frac{4}{3} *\pi *27[/tex]

27*4/3*pi=36pi

Exact form: (\πcos(2))/(4)

Decimal Form: − 0.32684096

brainliest or a thank you please :)) <3

Answer:

44+54= 98

98-13=85

Step-by-step explanation:

Answer:

85 animals are left.

Step-by-step explanation:

44 + 54 = 98.

98 - 13 = 85.

Answer:

8 cm

Step-by-step explanation:

The formula of circumference is c= πd------(1)

where C = circumference, π = 3.14 and d = diameter

as we know that diameter is equal to d= 2r

put the diameter formula in eq(1)

we get c= π2r-------(2)

from eq (2) separate r means radius

hence, r= c/(π2)------(3)

put the values in eq(3)

and radius is equal to 8 cm.

Answer:

A is wrong. A debit card uses the money you have.

Answer:

III. The mode is 2

Step-by-step explanation:

Mean: (8+2+9+4+2+7+8+0+4+1)/10 =  45/10 = 4.5

Median: (2+7)/2 = 9/2 = 4.5

Mode: There is no mode since 2 and 8 both appear twice (in other words, since they have the same frequency, it's bimodal)

The closest possible choice is III. The mode is 2, but keep in mind that since the data set is bimodal, there is no single mode.

Answer:

5/9 OR 9/5

Step-by-step explanation:

Answer:

XY i think

Step-by-step explanation:

Answer:

15%

Step-by-step explanation:

sodas: 130

hot dogs: 86

there is 130 sodas sold if you subtract 44 from 130 you get how many hotdogs

Answer:

An integer is a whole number that can be either greater than 0, called positive, or less than 0, called negative.

Step-by-step explanation:

Answer:

-28, -19, -18, -15,

Step-by-step explanation Cause -14 is more closer to 0 then all 4 of those negative numbers so that mean all 4 of these negative numbers are greater than -14 :) if that makes sense

Answer:

14 and 16

Step-by-step explanation:

They are the ONLY  consecutive even numbers

And also

x and (x+2)

x(x+2)=224 ( product of a number and the consecutive of that number)

x ²+  2x-224=0

(x+16)(x-14) =0

x=-16 or 14

In this case 14 and (14+2)    14 and 16

The  integers are either 14 and 16 or -14 and -16.

Answer:

Perosnally i think it is not a solution but let me check that for you!

Step-by-step explanation:

Answer:Answer x=15 and the answer for x=6 will be false!

Step-by-step explanation:X=6 is not a solution but the correct answer is 15 .First we know that 5+5=10,then if we add 10+5 that will give us 15.

Answer:

(a) The probability that more than three arrive in one hour is approximately 0.018988

(b) The probability that no interval contains more than 3 arrivals in 30 separate one-hour intervals is approximately 0.56264

(c) The length of time such that the probability of no arrival is 0.1 is approximately 2.30259 hours

Step-by-step explanation:

The distribution of the arrival time of a small aircraft = Exponential distribution

The mean arrival time, μ = 1 hour

The pdf of a exponential distribution, f(x) = λ·e^(-λ·x)

The mean, μ = 1/λ

∴ 1 = 1/λ

λ = 1 hour

∴ For the exponential distribution, f(x) = 1·e^(-x)

(a) The Poisson probability is given as follows;

[tex]P(X = k) = \dfrac{\lambda^k \times e^{-k}}{k!}[/tex]

The probability for more than 3 is given as follows;

[tex]P(X > 3) = 1 - \dfrac{1^0 \times e^{-1}}{0!} - \dfrac{1^1 \times e^{-1}}{1!} - \dfrac{1^2 \times e^{-1}}{2!} - \dfrac{1^3 \times e^{-1}}{3!} \approx 0.018988[/tex]

(b) P(X ≤ 3) for 30 1 hour intervals = P(X ≤ 3)³⁰ = (1 - 0.018988)³⁰ ≈ 0.56264

(c) When the probability that no arrival occurs is 0.1, we have;

0.1 P(X > x) = f(x) = 1·e^(-x) = e^(-x)

-x·ln(e) = ln(0.1)

∴ x = -㏑(0.1) ≈ 2.30259

The length of time such that the probability that no arrival occur during the interval is 0.1, x ≈ 2.30259 hours.

Answer:

(x, y) =([tex]\frac{9}{2}[/tex], -2)

um yuh?

Answer:

2:5 12:30(?)

Step-by-step explanation:

the first ones right I'm not sure about 12:30