PLEASE HELP ASAP!!!!!

Rewrite the expression 20x + 25 as the product of two factors.

Answer:

Total Cost = 1.05x

CD Player cost = 110*1.05 = $115.50

Step-by-step explanation:

Answer:

A. Exactly one solution

Step-by-step explanation:

8x+6y=10

-8x+6y=2

0+12y=12 added two equations together

12y=12

y=1

solve for x

8x+6y=10

8x+6(1)=10

8x=4

x=1/2

Answer:

The answer is A

Step-by-step explanation:

This figure is a cylinder and the surface area formula of a cylinder is 2 pi rh + 2pi r^2

The expression is simplified to F⁸. Option C

To determine the value, we have that;

Index forms are described as forms used in the representation of numbers that are too small or large.

Other names for index forms are scientific notation and standard forms.

From the information given, we have that

F² by the power of 4

This is represented as;

(F²)⁴

To simply the index form, we need to expand the bracket by multiplying the exponential values, we get;

F⁸

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Answer:

Its the third option, Mark is wrong, 2/5 converts to .4 which means the anser is 2.4

Step-by-step explanation:

2/5 when divided in a calculator or by mental maths is .4. Since 2 is in front of it, we put it together, giving us 2.4. Mark's answer is 2.25, so he is wrong. Hope this helped :)

1 ball and 3 board games can be chosen by Amanda in option E. 60 ways.

Here it is given that Amanda needs 1 ball and 3 board games.

The toy store only has 3 kinds of balls and 6 types of board games. Hence we will use combinations to determine the no. of ways she can choose the items

ⁿCₓ = n! / (n - r)! X r!

The ball can be chosen in

³C₁ ways

= 3! / 2! X 1!

= 6/2

= 3 ways

The board game can be chosen in  ⁶C₃ ways

= 6! / 3! X 3!

= 720 / 36

= 20 ways

Hence the total number of ways the items can be chosen is

3 X 20 ways

= E. 60 ways.

Complete Question

Amanda goes to the toy store to buy 1 ball and 3 different board games. If the toy store is stocked with 3 types of balls and 6 types of board games, how many different selections of the 4 items can Amanda make?

A. 9

B. 12

C. 14

D. 15

E. 60

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The mean and standard deviation of the probability distribution is:

Y will be 0.4899 and 0.699 respectively.

A mathematical function called a probability distribution explains the likelihood of many alternative values for a variable. Graphs or probability tables are frequently used to represent probability distributions.

A probability distribution is a mathematical function used in probability theory and statistics that estimates the likelihood that various possible outcomes of an experiment will occur. In terms of its sample space and event probability, it is a mathematical description of a random phenomena.

According to the given question,

From the given probability distribution, it should be noted that the probability distribution for y will be:

Y                   0        1.         2

Probability 0.63.   0.25.   0.12

The mean of Y will be:

Mean = (0 × 0.63) + (1 × 0.25) + (2 × 0.12)

Mean = 0 + 0.25 + 0.25

Mean = 0.49

The variance will be 0.4899.

Therefore, the standard deviation will be:

standard deviation = ✓0.4899

Standard Deviation = 0.699.

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Answer:

x=8

Step-by-step explanation:

6²+x²=10²

36+x²=100

x²=100-36

x²=64

square root of 64 is 8

x=8

Answer: experiment

Step-by-step explanation:

A course of perception that has an unsure result is alluded to as an experiment.

The study of mathematical objects by computing in order to discover their properties and patterns is known as experimental mathematics. It has been described as "that mathematical theory that concerns itself ultimately with both the convention and transmission of insights within the mathematical neighborhood through the use of experimental investigation of conjectures and also more irregular beliefs and just a careful analysis of the information acquired in this endeavor (in either the Galilean, Baconian, Aristotelian or Kantian sense).

The nineteenth century saw the reemergence of experimental mathematical concepts as a distinct field of study as the range of calculations that could be performed was greatly expanded by the development of the electronic computer, which could perform calculations at speeds and with levels of precision that were unimaginable to earlier generations of mathematicians.

A course of perception that has an unsure result is alluded to as an experiment.

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Answer:

She will need 10 containers

Step-by-step explanation:

Using long division and converting both solutions to decimals we can use the equation 11.50 divided by 1.25. This will equal 9.20, we then know that she would need 9 containers but we would still have a remainder of .20 so in total to fit everything she would need 10.

I hope this helps have a great day :)

To find the slope of the line tangent to the polar curve r = 9 + 7 cos(theta) at the point (16, 0), we can use the formula:

dy/dx = (dy/dtheta) / (dx/dtheta) = (r' sin(theta) + r cos(theta)) / (r' cos(theta) - r sin(theta))

where r' = dr/dtheta.

First, we need to find r' by taking the derivative of r with respect to theta:

r' = dr/dtheta = -7 sin(theta)

Then, we can plug in the given values to find the slope at (16, 0):

dy/dx = [(r' sin(theta) + r cos(theta)] / [r' cos(theta) - r sin(theta)]

= [(-7 sin(0) sin(0) + (9 + 7 cos(0)) cos(0))] / [(-7 sin(0) cos(0)) - (9 + 7 cos(0)) sin(0))]

= (9 + 7) / (-9) = -2

Therefore, the slope of the line tangent to the polar curve r = 9 + 7 cos(theta) at the point (16, 0) is -2.

To find the slope of the line tangent to the polar curve r = 9 + 7 cos(theta) at the point (2, pi), we can use the same formula as above:

dy/dx = (r' sin(theta) + r cos(theta)) / (r' cos(theta) - r sin(theta))

First, we need to find r' by taking the derivative of r with respect to theta:

r' = dr/dtheta = -7 sin(theta)

Then, we can plug in the given values to find the slope at (2, pi):

dy/dx = [(r' sin(theta) + r cos(theta)] / [r' cos(theta) - r sin(theta)]

= [(-7 sin(pi) sin(2) + (9 + 7 cos(pi)) cos(2))] / [(-7 sin(pi) cos(2)) - (9 + 7 cos(pi)) sin(2))]

= (-2) / (7)

Therefore, the slope of the line tangent to the polar curve r = 9 + 7 cos(theta) at the point (2, pi) is -2/7.

The polar curve r = 9 + 7 cos(theta) intersects the origin when r = 0, which occurs when cos(theta) = -9/7, which is not possible since the range of cosine function is [-1, 1]. Therefore, the curve does not intersect the origin.

Since the curve does not intersect the origin, the answer is "The curve does not intersect the origin" for the equation of the tangent line in polar coordinates.

Answer:

Step-by-step explanation:

The percentage change in the quantity οf οil in the cοntainer is 75%.

First: Find οut the difference between the twο numbers yοu are cοmparing.

Then: Divide the change by the οriginal number and multiply the answer by 100.

Tο find the percentage change, we first need tο find the difference between the initial and final quantities οf οil:

Change in quantity = Final quantity - Initial quantity

Change in quantity = 14 - 8

Change in quantity = 6

Then, we can use the fοrmula fοr percentage change:

Percentage change = (Change in quantity / Initial quantity) x 100%

Plugging in the values we get:

Percentage change = (6 / 8) x 100%

Percentage change = 0.75 x 100%

Percentage change = 75%

Therefοre, the percentage change in the quantity οf οil in the cοntainer is 75%.

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Answer:

y = -2x + 3

Step-by-step explanation:

y2 - y1/ x2 - x1

7 - (-5) / -2 - 4

-2

The slope is -2.

To find the y-intercept, you need to plug the coordinates into the equation.

y = -2x + b

7 = -2(-2) + b

7 = 4 + b

3 = b

y = -2x + 3

Answer:

y=-2x+3

Step-by-step explanation:

To find the equation of the line passing through the points (4, -5) and (-2, 7), we can use the point-slope form of the equation of a line:

y - y₁ = m(x - x₁)

where (x₁, y₁) represents one of the given points, and m is the slope of the line.

Let's calculate the slope (m) using the formula:

m = (y₂ - y₁) / (x₂ - x₁)

Substituting the coordinates of the points (4, -5) and (-2, 7) into the formula:

m = (7 - (-5)) / (-2 - 4)

m = 12 / -6

m = -2

Now we have the slope (m = -2), and we can choose one of the given points (4, -5) to substitute into the point-slope form. Let's use (4, -5):

y - (-5) = -2(x - 4)

Simplifying:

y + 5 = -2(x - 4)

y + 5 = -2x + 8

y = -2x + 3

Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation:

Answer:

IM NOT SURE

Step-by-step explanation:

im not sure, but if the passwords are only letters, here is my reasoning:

26 letters in the alphabet

26 x 26 divided by 4 = 169 (lol) - not case sensitive

26 x 26 x 26  divided by 4= 4,394 - case sensitive

Answer:

the rate of change is 16. 2÷32 = 16

4÷32 is 16 etc

Answer:

1X = 16Y every time the X value goes up by one it increase by 16.

Step-by-step explanation:

If you do 32/2 you will get the answer 16 and if you do 4/64 it also says 16.

The difference between (2,32) and (4,64) 64-32 is 32 4-2 is 2 and you also get 32,2 from that equation.

Answer:

D

Step-by-step explanation:

The parametric equations for the motion of the particle in the xy plane that traces the counterclockwise ellipse are x = 6cos(t) and y = 4sin(t), where t is the parameter. The parameter interval for the motion is 0 ≤ t ≤ 2π.

To find the parametric equations for the counterclockwise motion of the particle along the given ellipse, we can start by parameterizing the ellipse equation  \(16x^2 + 9y^2 =\) 144. We divide both sides of the equation by 144 to normalize it, giving us  \((x^2/9) + (y^2/16\)) = 1. By comparing this equation with the standard form of an ellipse, we can see that a = 3 and b = 4.

We can then use the trigonometric parametrization of an ellipse to obtain the parametric equations. Letting x = acos(t) and y = bsin(t), where t is the parameter, we substitute the values for a and b, resulting in x = 6cos(t) and y = 4sin(t). These equations represent the motion of the particle along the ellipse.

Since we want the particle to trace the ellipse counterclockwise, we need to cover the full circumference of the ellipse. This corresponds to a parameter interval of 0 ≤ t ≤ 2π, which completes one full revolution around the unit circle. Therefore, the parametric equations for the motion of the particle are x = 6cos(t) and y = 4sin(t), with a parameter interval of 0 ≤ t ≤ 2π.

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Answer:

9.57 ft²

Step-by-step explanation:

assuming the diigram attached is similar to the one required to complete the question,

From the diagram

Area of the window = Area of the rectangle+ Area of the semi circle.

A = lw+πr²/2................ Equation 1

Where A = area of the window, l = length of the rectangle, w = width of the rectangle, r = radius of the semi circle.

From the diagram,

Given: l = 4 ft, w = 2 ft, r = w/2 = 2/2 = 1 ft.

Constant: π = 22/7

Substitute these values into equation 1

A = (4×2)+(22/7×1²/2)

A = 8+1.57

A = 9.57 ft²

No, just like the average (mean) it is a mathematical quantity that is determined by its mathematical definition and the everyday meaning of “expected” is only a descriptive hint toward what it represents.

What does the expected value of a random variable mean?

Is the expected value always equal to the mean?

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The measurement of angle DBC is equal to 33°, here we have to know the meaning of angle.

Angle is the measurement distance between two straight line or ray when they meet and it can also say that their one part is opening and other part is joint.

We have given that, ∠ABD = 4x, ∠DBC = 3x and measure of angle ABC is equal to 77°.

So ∠ABD + ∠DBC = ∠ ABC

⇒  4x + 3x = 77°

⇒ 7x = 77°

⇒ x = 11°

So, ∠ ABD = 4x = 4 * 11 = 44°

and, ∠DBC = 3x = 3 * 11 = 33°

Therefore, angle DBC is equal to 33°.

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Complete Question:

What is the measure of angle DBC if the measure of angle ABD is represented by 4x, the measure of angle DBC is represented by 3x and the measure of angle ABC is 77° ?

Answer:

a

   \(P(X <  24 )=  21.186\%  \)  

b

    \(x =  19.78 \  months\)

Step-by-step explanation:

From the question we are told that

 The mean is   \(\mu  =  26 \  months\)

 The standard deviation is  \(\sigma  =  4 \  months\)

 Generally 2 year is  equal to  24 months

Generally the percentage of total production will the company expect to replace is mathematically represented as

      \(P(X <  24 )=  P(\frac{X - \mu }{ \sigma} <  \frac{24 - 26}{4}  )\)

Generally  \(\frac{X - \mu}{\sigma } =Z (The  \ standardized \  value  \  of  \  X )\)

     \(P(X <  24 )=  P(Z <  -0.8  )\)

Generally from the z-table  

       \(P(Z <  -0.8) =  0.21186\)

So

       \(P(X <  24 )=  0.21186\)

Converting to percentage

      \(P(X <  24 )=  0.21186  * 100\)

=>    \(P(X <  24 )=  21.186\%  \)  

Generally the duration that should be the guarantee period if  Accrotime does not want to make refunds on more than 6% is mathematically evaluated as

    \(P(X <  x) =  P(\frac{X - \mu }{\sigma}  < \frac{x - 26}{4} )= 0.06\)

=> \(P(X <  x) =  P(Z < \frac{x - 26}{4} )= 0.06\)

From the normal distribution table the z-score for  0.06 at the lower tail  is

       \(z = -1.555\)

So

    \(\frac{x - 26}{4} = -1.555\)

=> \(x =  19.78 \  months\)  

Answer:

\(x<12\)

Step-by-step explanation:

\(5(x+5)<85\\\\5x+25<85\\\\5x<60\\\\x<12\)

Option A is correct, x<12 represents the solution set of 5(x+5) <85

a relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality is 5(x+5) <85

We have to find the solution set of the given inequality

Five times of x plus five less than eight five.

Apply distributive property

5x+25<85

Subtract 25 from both sides

5x<85-25

5x<60

Divide both sides by 5

x<12

Hence, option A is correct, x<12 represents the solution set of 5(x+5) <85

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Answer:

Reflexive Property

Step-by-step explanation:

Reflexive Property: A quantity is congruent (equal) to itself.

AB = AB

Answer:

Reflexive Property

Step-by-step explanation:

The reflexive property states that any real number, a, is equal to itself. That is, a = a. So, AB=AB

A and D are true since an absolute value can only be equal to a real number.

He can purchase a maximum of 9 soccer balls with his budget of $300.

A soccer ball is a ball used in the game of soccer also known as football in many countries.

Let's start by calculating the total cost of one soccer ball, including shipping and handling:

$24.99 + $6.50 = $31.49

So, each soccer ball costs $31.49.

To find out how many soccer balls Jon can purchase with his budget of $300, we can divide the total budget by the cost of each soccer ball:

$300 ÷ $31.49 = 9.52

Therefore, Since Jon cannot purchase a fraction of a soccer ball, he can purchase a maximum of 9 soccer balls with his budget of $300.

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The function for the model that gives the future value of the investment in dollars after t years is: f(t) = 2000.e⁰·°⁴²t

Give, a lump sum of $2000 is invested at 4.2% compounded continuously.

Hence we have:

P = $2000

rate of interest = 4.2%

years = t

we know that A = Pe^rt

Substitute the above values in the formula.

Amount = f(t)

f(t) = 2000.e⁰·°⁴²t

hence we get the function for the model that gives the future value of the investment is f(t) = 2000.e⁰·°⁴²t

Therefore we get the required function.

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A scale that allows us to rank individuals or objects, but not say anything about the meaning of the differences between the ranks, is an ordinal scale.

Therefore, a scale that allows us to rank individuals or objects, but not say anything about the meaning of the differences between the ranks, is an ordinal scale.

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