In how many ways can 9 different pizza toppings be chosen from 23 available toppings?

Please answer i need help

Answer:

x = 9.4m

Hope this helps...Have a good day!!

The correct value of inverse of the function f(x) = 8√x is f^(-1)(x) = x^2/64.

The inverse of the function f(x) = 8√x, we can follow these steps:

Replace f(x) with y: y = 8√x.

Swap the x and y variables: x = 8√y.

Solve the equation for y: Divide both sides by 8 to isolate the square root of y: x/8 = √y.

Square both sides to eliminate the square root: (x/8)^2 = (√y)^2.

Simplify: x^2/64 = y.

Replace y with f^(-1)(x): f^(-1)(x) = x^2/64.

Therefore, the inverse of the function f(x) = 8√x is f^(-1)(x) = x^2/64.Let's go through the steps again and provide more explanation:

Start with the original function: f(x) = 8√x.

Replace f(x) with y to obtain the equation: y = 8√x. This step is done to represent the function in terms of y.

Swap the x and y variables: Instead of y = 8√x, we now have x = 8√y. This step is done to isolate the variable y on one side of the equation.

Solve the equation for y: Divide both sides of the equation by 8 to isolate the square root of y. This gives us x/8 = √y.

Square both sides of the equation: By squaring both sides, we eliminate the square root and obtain (x/8)^2 = (√y)^2.

Simplify the equation: Simplify the right side of the equation to get x^2/64 = y. This step is done by squaring the square root, resulting in the elimination of the square root symbol.

Replace y with f^(-1)(x): The equation x^2/64 = y represents the inverse function of f(x). To denote this, we replace y with f^(-1)(x) to get f^(-1)(x) = x^2/64.

Therefore, the inverse of the function f(x) = 8√x is f^(-1)(x) = x^2/64. This means that for any given value of x, applying the inverse function will yield the corresponding value of y that satisfies the equation.

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Answer:

Step-by-step explanation:

assuming you meant -4(-3x-3y)=15, it can be simplified by multiplying -4 with the inside of the parenthesis, 12x+12y=15, divide by 12 and x+y=15/12 or 1.25, x+y=1.25

The likelihood of finding that the sample mean is between 59,050 and 60,950 miles can be determined by calculating the probability using the normal distribution with a sample size of 90, a population mean of 60,000 miles, and a population standard deviation of 4,000 miles.

To find out the probability of getting a sample mean between 59,050 and 60,950, a simulator is used to determine the tread life of tires mounted on light-duty trucks that follows a normal probability distribution.

Here, the population mean is 60,000 miles and the standard deviation is 4,000 miles. The given sample size is 90.

We can use the formula for standardizing the score. The standardized score for the lower limit of 59,050 is -2.78, and that of the upper limit of 60,950 is 2.78. Now, we need to find the probability of getting the mean value between -2.78 and 2.78.

We can use the standard normal distribution table to find the value, which is 0.9950 for z = 2.78 and 0.0050 for z = -2.78. Hence, the required probability is 0.9900.

Therefore, the likelihood of finding that the sample mean is between 59,050 and 60,950, for a sample size of 90 tires, is 0.9900.

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Step-by-step explanation:

Using Pythagorean theorem for right triangles, c^2 = a^2 + b^2 .

Solving for a results in a = sqrt ( c^2 - b^2) .

Solving for b results in b = sqrt (c^2 - a^2) .

Solving for c results in c = sqrt (a^2 + b^2)

Answer:

Step-by-step explanation:

I am supposing that this is a right triangle.

1) Length of side a

a² + b² = c²

a² = c² - b²

√a² = \(\sqrt{c^{2} - b^{2} }\)

2)

a² + b² = c²

b² = c² - a²

√b² = \(\sqrt{c^{2} - a^{2} }\)

3

a² + b² = c²

\(\sqrt{a^{2} + b^{2} }\)   = \(\sqrt{c^{2} }\)

Answer:

I believe we are solving for b. b<5

Step-by-step explanation:

Answer:

She would have $1080 dollars in 48 months.

Step-by-step explanation:

So she earned 8% interest in 48 months.

So you find 8% of 1000 and that would be 80 and add 80 to 1000 because she gained 80 dollars in interest over 48 months so in 48 months she has $1080 dollars.

we have shown that the expression ρ(x,t) = [1/(1 + t^2)] ρ0 [(x/(1 + t^2)) - t] satisfies the advection equation ∂ρ/∂t + v ∂ρ/∂x = -ρ ∂v/∂x.

The density of radioactive material, denoted by ρ(x,t), evolves according to the equation:

∂ρ/∂t + v ∂ρ/∂x = -ρ ∂v/∂x

This equation describes the transport of a substance by a moving medium, where the rate of movement of the radioactive material is influenced by the velocity of the wind, determined by the function v(x,t).

To solve the equation, we use the method of characteristics. We define the characteristic equation as:

x = ξ(t)

and

ρ(x,t) = f(ξ)

where f is a function of ξ.

Using the method of characteristics, we find that:

∂ρ/∂t = (∂f/∂t)ξ'

∂ρ/∂x = (∂f/∂ξ)ξ'

where ξ' = dξ/dt.

Substituting these derivatives into the original equation, we have:

(∂f/∂t)ξ' + v(∂f/∂ξ)ξ' = -ρ ∂v/∂x

Dividing by ξ', we get:

(∂f/∂t)/(∂f/∂ξ) = -ρ ∂v/∂x / v

Letting k(x,t) = -ρ ∂v/∂x / v, we can integrate the above equation to obtain f(ξ,t). Since f(ξ,t) = ρ(x,t), we can express the solution ρ(x,t) in terms of the initial value of ρ and the function k(x,t).

Now, let's solve the advection equation using the method of characteristics. We define the characteristic equation as:

x = x(t)

Then, we have:

dx/dt = v(x,t)

ρ(x,t) = f(x,t)

We need to find the function k(x,t) such that:

(∂f/∂t)/(∂f/∂x) = k(x,t)

Differentiating dx/dt = v(x,t) with respect to t, we have:

dx/dt = (2xt)/(1 + t^2) + 1 + t^2

Integrating this equation with respect to t, we obtain:

x = (x(0) + 1)t + x(0)t^2 + (1/3)t^3

where x(0) is the initial value of x at t = 0.

To determine the function C(x), we use the initial condition ρ(x,0) = ρ0(x).

Then, we have:

ρ(x,0) = f(x,0) = F[x - C(x), 0]

where F(ξ,0) = ρ0(ξ).

Integrating dx/dt = (2xt)/(1 + t^2) + 1 + t^2 with respect to x, we get:

t = (2/3) ln|2xt + (1 + t^2)x| + C(x)

where C(x) is the constant of integration.

Using the initial condition, we can express the solution f(x,t) as:

f(x,t) = F[x - C(x),t] = ρ0 [(x - C(x))/(1 + t^2)]

To simplify this expression, we introduce A(x,t) = (2/3) ln|2xt + (1 + t^2)x|/(1 + t^2). Then, we have:

f(x,t) = [1/(1 +

t^2)] ρ0 [(x - C(x))/(1 + t^2)] = [1/(1 + t^2)] ρ0 [(x/(1 + t^2)) - A(x,t)]

Finally, we can write the solution to the advection equation as:

ρ(x,t) = [1/(1 + t^2)] ρ0 [(x/(1 + t^2)) - A(x,t)]

where A(x,t) = (2/3) ln|2xt + (1 + t^2)x|/(1 + t^2).

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The Laplace of the given equation is \(y=-\frac{15e^2}{8}e^{2t}+\left(-3e^2+\frac{15e^2}{4}\right)e^{2t}t+\frac{e^2t^4}{4}+e^2t^3+\frac{9e^2t^2}{4}+3e^2t+\frac{15e^2}{8}\).

According to the statement

we have given that the equation and we have to solve this problem with the help of the Laplace transform.

So, According to the statement

the given equation is

y'' − 4y' + 4y = t^3e^2t, y(0) = 0, y'(0) = 0

And the Laplace transform is an integral transform method which is particularly useful in solving linear ordinary differential equations.

Firstly fill the value of the Laplace of the second order derivative and put x = 0 in the equation

And same it with the first order of the derivative.

And then the Laplace of the equation become

\(y=-\frac{15e^2}{8}e^{2t}+\left(-3e^2+\frac{15e^2}{4}\right)e^{2t}t+\frac{e^2t^4}{4}+e^2t^3+\frac{9e^2t^2}{4}+3e^2t+\frac{15e^2}{8}\)

So, The Laplace of the given equation is \(y=-\frac{15e^2}{8}e^{2t}+\left(-3e^2+\frac{15e^2}{4}\right)e^{2t}t+\frac{e^2t^4}{4}+e^2t^3+\frac{9e^2t^2}{4}+3e^2t+\frac{15e^2}{8}\)

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Answer:

(-1, -10) and (-2,0) lmk if I made an error

Answer:

D. 13

Step-by-step explanation:

You just have to plug in numbers then solve.

(1,9) and (1,-4). Every coordinate is placed as (x,y)

(1,9) is labeled as (x1, y1)

(1,-4) is labeled as (x2,y2)

Now plug in the numbers.

d= Square root of (1-1)^2 + (-4-9)^2

d= Square root of 1^2 +-13^2

d= Square root of 1+169

d= Square root of 170

d= 13.04

Rounded to a whole number, the answer is 13

Answer:

D

Step-by-step explanation:

you have to substitute the values in the distance formula,in this case x2 is 1,x1 is 1,y2 is -4 and y1 is 9

d=√(x2-x1)²+(y2-y1)²

=√(1-1)²+(-4-9)²

=√(0)²+(-13)²

=√169

=13

I hope this helps

Answer:

B isa the answer for me it might be wrong for you or switch them

Step-by-step explanation:

I don't think I'm wrong but the answer 90

Answer:

lo siento no se lo siento

Answer:

plot $30 on the line above one and plot $50 on the line above two and keep doing the same thing

Step-by-step explanation:

Plot the data first using the results above, so u can draw the line,

Then u can answer the questions, if the line goes through all the points its proportional, vice versa

Answer:

1) NAME OF CIRCLE : CIRCLE ABDE

2) CHORD : SEGMENT DE

3)DIAMETER: SEG DB

4)TANGENT LINE : RAY E

5) SECANT LINE : SEGMENT AB

HOPE IT HELPS!

MARK AS BRAINLIAST.

The defect length of a corrosion defect in a pressurized steel pipe follows a normal distribution with a mean value of 32 mm.

This means that the majority of defect lengths will be centered around the mean value, with a bell-shaped curve describing the distribution. However, the given information does not provide the standard deviation or any other parameters necessary to fully describe the distribution.

A normal distribution, also known as a Gaussian distribution or bell curve, is a common statistical distribution that is often observed in natural phenomena.

It is characterized by a symmetric shape, with the majority of data points clustering around the mean value and becoming less frequent as they deviate further from the mean.

In this case, the defect length of a corrosion defect in a pressurized steel pipe is assumed to follow a normal distribution. The mean value of the defect length is given as 32 mm. This means that the most common or typical defect length is 32 mm.

However, without additional information about the standard deviation or other parameters, it is difficult to provide more specific details about the distribution.

The standard deviation is a measure of the spread or dispersion of the data points around the mean. It indicates how much the defect lengths are likely to vary from the mean value of 32 mm. Without knowing the standard deviation, it is not possible to provide a complete description of the normal distribution for the defect lengths.

Additional information, such as the standard deviation or a range of defect lengths, would be needed to fully characterize the distribution and make more precise predictions or calculations related to the defect lengths in the pressurized steel pipe.

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If a unit vector lies in the xy plane, at an angle of 158 degrees from the x-axis, with a positive y component. The unit vector is ( -0.927,  0.374).

The unit vector is defined as a vector that points in the same direction as our vector (158 degrees from the x-axis) and has a magnitude of 1.

As we know that for a radius R and an angle A, the rectangular coordinates can be written as:

x = R × cos(A)

y = R × sin(A)

And if we want that the magnitude/modulus of our vector to be 1, then R = 1, and we know that A = 158°

x = 1 × cos(158°) = -0.927

y = 1 × sin(158°) = 0.374

Then the unit vector is: ( -0.927,  0.374)

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At the end of the weekend, Elisa had the most biscuits (168). So, the answer is (E) Elisa baked the most biscuits on Saturday.

To determine who baked the most biscuits on Saturday, we need to calculate how many biscuits each child had at the end of the weekend.

Anna had 24 biscuits, Berta had 25, Charlie had 26, David had 27, and Elisa had 28.

Let's start with the child who had twice as many biscuits as on Saturday. We can divide their total number of biscuits by 2 to get the number they had on Saturday.

If we try this calculation for each child, we find that only Elisa's total number of biscuits (28) is evenly divisible by 2. Therefore, Elisa must be the child who had twice as many biscuits as on Saturday, meaning she had 14 biscuits on Saturday.

We can use a similar process to determine how many biscuits each child had on Saturday:

- The child who had three times as many biscuits as on Saturday must have had a total of 42 biscuits, which means they had 14 biscuits on Saturday.
- The child who had four times as many biscuits as on Saturday must have had a total of 56 biscuits, which means they had 14 biscuits on Saturday.
- The child who had five times as many biscuits as on Saturday must have had a total of 70 biscuits, which means they had 14 biscuits on Saturday.
- The child who had six times as many biscuits as on Saturday must have had a total of 84 biscuits, which means they had 14 biscuits on Saturday.

Now we can add up the number of biscuits each child had on Saturday:

- Anna had 24 biscuits.
- Berta had 25 biscuits.
- Charlie had 26 biscuits.
- David had 27 biscuits.
- Elisa had 14 biscuits.

Therefore, David baked the most biscuits on Saturday with 27.
To determine who baked the most biscuits on Saturday, we need to consider the information given about the multiplication factors (twice, 3 times, 4 times, 5 times, and 6 times) and the initial number of biscuits baked by each child.

1. Anna baked 24 biscuits.
2. Berta baked 25 biscuits.
3. Charlie baked 26 biscuits.
4. David baked 27 biscuits.
5. Elisa baked 28 biscuits.

Now, let's apply the multiplication factors and see which child had the most biscuits at the end of the weekend:

1. Anna: 24 x 2 = 48
2. Berta: 25 x 3 = 75
3. Charlie: 26 x 4 = 104
4. David: 27 x 5 = 135
5. Elisa: 28 x 6 = 168

At the end of the weekend, Elisa had the most biscuits (168). So, the answer is (E) Elisa baked the most biscuits on Saturday.

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The equation of a circle having endpoints of diameter as (4,9) and (4,-3) is (x - 4)² + (y - 3)² = 36.

The "center" of circle is called as midpoint of diameter.

The "x-coordinate" of "mid-point" is = (4+4)/2 = 4, and

The "y-coordinate" of "mid-point" is = (9+(-3))/2 = 3.

So, center of circle is (4,3),

The radius of circle is half the length of the diameter, which is distance between two endpoints of diameter. We find distance using distance formula:

⇒ distance = √((x₂ - x₁)² + (y₂ - y₁)²), where (x₁,y₁) and (x₂,y₂) are "end-points" of diameter.

⇒ distance = √((4 - 4)² + (9 - (-3))²)

⇒ √(144) = 12.

So, radius is 6.

The equation of circle with center (h,k) and radius "r" is : ⇒ (x - h)² + (y - k)² = r²,

Substituting the values

We get,

⇒ (x - 4)² + (y - 3)² = 6²,

⇒ (x - 4)² + (y - 3)² = 36,

Therefore, the equation of the circle is (x - 4)² + (y - 3)² = 36.

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Answer: The percent was 12.5%

Answer:

Check pdf

Step-by-step explanation:

Answer:

$56 or $4 left over from $60

$ 56 o $ 4 sobrantes de $ 60

Step-by-step explanation:

4 2/3 pizzas would cost $56

4 2/3 pizzas costarían $ 56

The number the teacher gave Ross is 5127

From the question, we are to determine the number that the teacher gave Ross

From the given information,

Mr. David gave Ross a number and asked him to divide it by 15.

Let the number be x

That is,

x/15

The quotient and remainder obtained by ross are 341 and 12 respectively

That is,

x/15 = 341 + 12/15

Now, we will solve the equation for x

x/15 = 341 + 12/15

Multiply through by 15

x = 15×341 + 12

x = 5115 + 12

x = 5127

Hence, the number the teacher gave Ross is 5127

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Step-by-step explanation:

now, let's turn the triangle, so that the angle (60°) is at the bottom left vertex, and the 90° angle is at the bottom right vertex.

now we see the trigonometric triangle again that we have to imagine to be inscribed into a circle, with the 60° angle being at the center of that circle.

8×sqrt(6) is then the radius of that circle.

x is sin(60)×radius

y is cos(60)×radius

sin(60) = sqrt(3)/2

cos(60) = 1/2 = 0.5

x = 8×sqrt(6)×sqrt(3)/2 = 4×sqrt(6)×sqrt(3) = 4×sqrt(18)

y = 8×sqrt(6)/2 = 4×sqrt(6)

Answer:

Yes

Step-by-step explanation:

You are using the x values once, so it will pass the vertical line test.

{(3,4), (5,0), (2,4), (-5,-5)} the relation is a function.

A relation is a function if it has only One y-value for each x-value.

The relation is {(3,4), (5,0), (2,4), (-5,-5)}

Relation on a set may, or may not, hold between two given set members.

Three comma four comma five comma zero two comma four comma minus five comma minus five.

{(3,4), (5,0), (2,4), (-5,-5)} the relation is a function, because in (x,y) the x terms are not repeated.

For every y value there is a unique x value.

Hence, {(3,4), (5,0), (2,4), (-5,-5)} the relation is a function.

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The function to show how quickly the weeds grow each day is "f(x) = 4(1.02)7x; spreads at a rate of approximately 2% daily. Option B

f(x) = 4(1.15)x = 4(1+ 0.15)x ................... (1)

Given that there are seven days in a week, the daily growth rate of the weeds may be estimated using equation (1) by dividing 0.15 (which stands for the 15% weekly growth rate) in the following manner:

f(x) = 4(1.15)x = 4(1+ 0.15/7)x

f(x) = 4(1 + 0.02)x

f(x) = 4(1.02)x

Since 0.02 is the same as 2%, this implies that the rate at which the weeds grow each day is 2%.

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Answer:

d=-9

Step-by-step explanation:

Answer:

15=6-d

-d=15+6=9

d=-9

Step-by-step explanation:

Answer:

The area of a rectangle is 5/4

Step-by-step explanation: