Which of the following is equivalent to the expression (9x’y) (12x+y)(2xy)?

Answer:

Step-by-step explanation:

12.

13. Yes it is propoitinal because they are even

The requried, exponent of the p in the simplified expression is 3.

To reduce the fraction, we can cancel out any common factors in the numerator and denominator.

So the fraction becomes:

(-5p⁵ q⁴) / (8p² q²)

To simplify this fraction further, we can cancel out a factor of p in the numerator and denominator.

This leaves us with:

-5/8 * p³q²

Now we can see that the exponent on the remaining p is 3 because we canceled out one factor of p from the denominator.

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Answer:

D $376.20

Step-by-step explanation:

The monthly membership fee at a gym increased by 10% this year. Last year, the cost of a monthly membership was $28.50. What is the total yearly cost for a membership at the gym this year?

A $307.80

C $334.20

B $319.20

D $376.20

28.50 × 1.10 = $31.35 per month this year

there are 12 months per year so:

$31.35 × 12 =  $376.20

Answer: 12 cups

Step-by-step explanation:

Answer:

12 cups

Step-by-step explanation:

1 pint = 2 cups

6 pints = 6 × 2 cups = 12 cups

eu não sei

espero ter ajudado muito

espero ter ajudado muito

Answer:

cos(11π/3) = 1/2

Explanation:

To find the value of cos(11π/3), we first need to find a coterminal angle. This is because 11π/3 is greater than 2π, which is the angle of the complete circle. Then, we can find the coterminal angle as

11π/3 - 2π = 5π/3

Now, we need to find cos(5π/3), so we will use the unit circle as follows

Therefore, the value of cosine is the first coordinate of the point in the unit circle. It means that

cos(5π/3) = 1/2

Then, cos(11π/3) = 1/2

So, the answer is

cos(11π/3) = 1/2

Answer:

4(2x+3)

Step-by-step explanation:

Because 4 is the GCF

Answer:

9 spoons knives =12

9 spoons cost= £ 82.80

total no of 1 knife = 12x9 = 108

1 knife = 82.80 x 108 = 8,94, 240

so, 1 knife Cost's =£ 8,94,240

It is worth noting that there are many other possible choices for a and b that satisfy ab=0. This is because there are many ways to construct matrices with a row or column of zeros, and many ways to choose the nonzero entries in the other positions.

To find nonzero 2x2 matrices a and b such that ab=0, we need to find matrices a and b whose product is the zero matrix. A matrix multiplication is a combination of dot products between rows and columns of the two matrices. In order for the product of two matrices to be zero, one or both of the matrices must have a row of zeros or a column of zeros.

One way to construct such matrices is to set one of the matrices to have a row of zeros and the other to have a column of zeros. Let a be a matrix with a row of zeros and b be a matrix with a column of zeros, but with a nonzero entry in a different position. For example, we could choose:

a = [0 0; 1 0]

b = [0 1; 0 0]

Then, the product ab is:

ab = [0 0; 1 0] * [0 1; 0 0] = [0 0; 0 0]

So, we have found two nonzero 2x2 matrices a and b such that ab=0.

It is worth noting that there are many other possible choices for a and b that satisfy ab=0. This is because there are many ways to construct matrices with a row or column of zeros, and many ways to choose the nonzero entries in the other positions.

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Answer:

c)3/2(8/7)^x

Step-by-step explanation:

Evaluate the functions. 

1. Because 7/4 > 1 and the exponent is positive,

  the function does not decay.

2.Because 4/5 < 1 and the exponent is negative,

   the function does not decay.

3. Because 8/7 > 1 and the exponent is negative,

   the function decays.

4. Because 9/2 > 1 and the exponent is positive,

   the function does not decay.

A composite plot the functions verifies the answer.

If all the x's are exponents, then 3/2 (8/7)^-x is the only one that decays as x gets bigger.  That's because the base is greater than 1 and the x is negative.

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The only expression that is a decay function is f(x) = 2/3(4/5)^-x since 4/5 is less than 1

The standard form of an exponential equation is expressed as:

y = a(b)^x

where

a is the base

x is the exponent

b is the rate (determine whether the rate is growth or decay)

If the value of b is less than 1 then it is a decay function. The only expression that is a decay function is f(x) = 2/3(4/5)^-x since 4/5 is less than 1

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Answer:

-3,8

Step-by-step explanation:

Answer:

z=500

Step-by-step explanation:

since we know that the whole equation is equal to 250, we can substitute values in.

250=150/1/5 -z

250=750-z

-500=-z

z=500

The value of z for the function f(x)=150/x-z is z=500.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the function f is defined by f(x)=150/x-z where z is a constant. The value of the function at x = 1/5 is 250.

The value of the constant z will be calculated as,

The whole equation is equal to 250, we can substitute values in.

250=150/1/5 -z

Simplify the equation and solve for the value of z,

250=750-z

-500=-z

z=500

Therefore, the value of z for the function f(x)=150/x-z is z=500.

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The value of a = -2 and b = 3.

What is a system of equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

Here, we have

Given: 3a - 5b = -26, a + 2b = 6

We have to solve this equation.

3a - 5b = -26...(1)

a + 2b = 6...(2)

Now we multiply equation (1) by 2 and equation (2) by 5 and we get

6a - 10b = -52....(3)

5a + 10b = 30....(4)

After solving equations (3) and (4), we get

11a = -22

a = -2

Now we put the value of 'a' in equation(3) and we get

6(-2) - 10b = -52

-10b = -52 + 12

-10b =  -30

b = 3

Hence, the value of a = -2 and b = 3.

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The Weibull distribution is a continuous probability distribution. It is often used in reliability engineering to model time-to-failure data.

A Weibull distribution is described by two parameters, the shape parameter (B) and the scale parameter (λ).The Weibull probability density function is given by

f(x) = (B / λ) * (x / λ)B-1 * exp(- (x / λ)B) where x > 0, B > 0, and λ > 0.(a) P(X < 10,000)

Given X has a Weibull distribution with B = 0.2 and λ = 100 hours

We have to find P(X < 10,000)P(X < 10,000) = F(10,000)

where F is the cumulative distribution function of X.

F(x) = 1 - exp(-(x/λ)B)

Substituting the values of B and λ, we get

F(x) = 1 - exp(-((x/100)^0.2))

Now, substituting x = 10,000 in F(x), we get

P(X < 10,000) = F(10,000) = 1 - exp(-((10,000/100)^0.2))= 1 - exp(-1)= 0.6321

Therefore, P(X < 10,000) = 0.6321

(b) P(X > 5000)

Given X has a Weibull distribution with B = 0.2 and λ = 100 hours

We have to find P(X > 5000)

P(X > 5000) = 1 - P(X ≤ 5000)

P(X ≤ 5000) = F(5000) where F is the cumulative distribution function of X.

F(x) = 1 - exp(-(x/λ)B)

Substituting the values of B and λ, we get

F(x) = 1 - exp(-((x/100)^0.2))

Now, substituting x = 5000 in F(x), we get

P(X ≤ 5000) = F(5000) = 1 - exp(-((5000/100)^0.2))= 0.3935

Therefore,P(X > 5000) = 1 - P(X ≤ 5000) = 1 - 0.3935= 0.6065

(c) E(X) and V(X)

Given X has a Weibull distribution with B = 0.2 and λ = 100 hours

The expected value of X, E(X) is given by

E(X) = λ * Γ(1 + 1/B) where Γ is the gamma function.

Substituting the values of λ and B, we get

E(X) = 100 * Γ(1 + 1/0.2)

Using the value of Γ(6) = 120, we get

E(X) = 100 * 120 = 12,000 hours

The variance of X, V(X) is given by

V(X) = λ^2 * (Γ(1 + 2/B) - (Γ(1 + 1/B))^2) where Γ is the gamma function.

Substituting the values of λ and B, we get

V(X) = 100^2 * (Γ(1 + 2/0.2) - (Γ(1 + 1/0.2))^2)

Using the value of Γ(1.4) = 0.886, we get

V(X) = 10000 * (6.854 - (1.768)^2)= 55,865.6

Therefore,E(X) = 12,000 hours and V(X) = 55,865.6.

The probability that X is less than 10,000 is 0.6321. The probability that X is greater than 5000 is 0.6065. The expected value of X is 12,000 hours, and the variance of X is 55,865.6.

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Answer:Time = 1/9 Hours  0r  0.11111 hours

Step-by-step explanation:

We Know that Speed = Distance / Tim\e

Using the constant rate of the speed given as 27 miles per hour at

Distance = 3miles

Time = Distance  / Speed

Time = 3 miles / 27miles per hour = 1/9 hours

Answer:

5(x-2)-(X+3)=x-8

5x-10-x-3=x-8

4x-13=x-8

4x-x=(-8)+13

3x=5

X=5/3

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Answer:

-5

Step-by-step explanation:

5a+17=87

5a+17-17=87-17

5a=70

a=14

Answer:

87-17=70

70÷5=14

=14 is your answer

we know that

The surface area of a square pyramid is given by the formula

where

B is the area of the square base

LA is the lateral area (area of the four triangular faces)

step 1

Find out the area of the square base B

step 2

Find out the area of one triangular face

the area of one triangular face is given by the formula

where

b=96 m

h=?

Applying the Pythagorean Theorem, find out the value of h

where

H=220 m (height of the building)

b/2=96/2=48 m

substitute

substitute

Multiply by 4 to obtain the Lateral Area

The surface area of the building is equal to

step 3

we know that

one gallon of cleaning solution -----> for every 250 square meters of surface

Applying proportion

1/250=x/52,450.56

solve for x

x=52,450.56/250

x=210 gallons

see the figure below to better understand the calculation to obtain the value of

h (the height of each triangular face)

The value of K is 2.

Let's denote the scale factor as K. The surface area of a solid after dilation is directly proportional to the square of the scale factor.

We are given that the initial surface area of the solid is 50 units^2, and after dilation, the surface area becomes 200 units^2.

Using the formula for the surface area, we have:

Initial surface area * (scale factor)^2 = Final surface area

50 * K^2 = 200

Dividing both sides of the equation by 50:

K^2 = 200/50

K^2 = 4

Taking the square root of both sides:

K = √4

K = 2

Therefore, the value of K is 2.

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Answer:

A

Step-by-step explanation:

The other values are lesser than 5.63

Answer:

5.658-A

Step-by-step explanation:

The probability that the sample mean will be greater than 57.95 is 0.0495.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. This is the basic probability theory, which is also used in the probability distribution.

To solve this question, we need to know the concepts of the normal probability distribution and of the central limit theorem.

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z=\dfrac{X-\mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Central Limit Theorem establishes that, for a random variable X, with mean \(\mu\) and standard deviation \(\sigma\), a large sample size can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(\frac{\sigma}{\sqrt{\text{n}} }\).

In this problem, we have that:

The probability that the sample mean will be greater than 57.95

This is 1 subtracted by the p-value of Z when X = 57.95. So

\(Z=\dfrac{X-\mu}{\sigma}\)

By the Central Limit Theorem

\(Z=\dfrac{X-\mu}{\text{s}}\)

\(Z=\dfrac{57.95-53}{3}\)

\(Z=1.65\)

\(Z=1.65\) has a p-value of 0.9505.

Therefore, the probability that the sample mean will be greater than 57.95 is 1-0.9505 = 0.0495

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Answer:

G 33%

Step-by-step explanation:

17/52 = 0.32692307692

0.32692307692 is about 33 %

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At the upper triple point, solid graphite, liquid carbon, and gaseous carbon dioxide coexist in equilibrium.

In a phase diagram for carbon, the upper triple point represents a specific combination of temperature and pressure where all three phases of carbon—solid (graphite), liquid (carbon), and gas (carbon dioxide)—coexist in equilibrium.

At this point, there is a delicate balance between the three phases, and any deviation from the exact temperature and pressure values would cause one or more phases to dominate.

The upper triple point is a unique set of conditions where solid graphite, liquid carbon, and gaseous carbon dioxide can exist simultaneously.

It's important to note that the precise values of temperature and pressure at the upper triple point may vary depending on the specific phase diagram being referenced.

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Answer:

10x + 24

Step-by-step explanation:

distribute first to remove parentheses:

4x + 12 + 6x + 12

now combine 'like terms':

10x + 24

Answer:

10x + 24

Step-by-step explanation:

Expand the brackets by multiplying each term in the bracket by the expression outside the bracket:

4(x + 3) + 6(x + 2) = 4x + 12 + 6x + 12

Gather like terms:

4x + 6x + 12 + 12

Combine like terms:

10x + 24

Answer:

1437.33

Step-by-step explanation:

Answer:

−38 227/512

Step-by-step explanation:

The rectangle with dimensions 21 m by 21 m has the largest area among rectangles with a perimeter of 84 m.

To find the dimensions of a rectangle with a perimeter of 84 m that maximizes the area, we need to use the properties of rectangles.

Let's assume the length of the rectangle is l and the width is w.

The perimeter of a rectangle is given by the formula: 2l + 2w = P, where P is the perimeter.

In this case, the perimeter is given as 84 m, so we can write the equation as: 2l + 2w = 84.

To maximize the area, we need to find the dimensions that satisfy this equation and give the largest possible value for the area. The area of a rectangle is given by the formula: A = lw.

Now we can solve the perimeter equation for l: 2l = 84 - 2w, which simplifies to l = 42 - w.

Substituting this expression for l into the area equation, we get: A = (42 - w)w.

To maximize the area, we can find the critical points by taking the derivative of the area equation with respect to w and setting it equal to zero:

dA/dw = 42 - 2w = 0.

Solving this equation, we find w = 21.

Substituting this value of w back into the equation l = 42 - w, we get l = 42 - 21 = 21.

Therefore, the dimensions of the rectangle that maximize the area are l = 21 m and w = 21 m.

In summary, the dimensions of the rectangle are 21 m by 21 m, so the answer is A. 21, 21.

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Answer:

39 Points

Step-by-step explanation:

Giants = G

Cowboys = C

Packers = P

Packers scored 39 points

17 * 2 = 34

34 - 9 = 25

25 + 14 = 39

Your welcome!

Kayden Kohl

8th Grade