terminating decimals are sometimes,never,always rational numbers ​

ANSWER

A reflection over the x-axis.

EXPLANATION

Both triangles are at the same distance from the x-axis: 1 unit. Triangle DEF has the same size as triangle ABC, but its position is upside-down. Therefore, triangle ABC was reflected over the x-axis to obtain triangle DEF.

Answer:

x=1

Step-by-step explanation:

The value of x is 1. So, the correct answer is d. x = 1.

To find the value of x, we can use the fact that the corresponding sides of congruent triangles are equal.

In triangle ABC, side AB is labeled 4x - 1, side BC is labeled 4, and side AC is labeled 5.

In triangle CDE, side CD is labeled 5, side DE is labeled x + 2, and side CE is labeled 4.

Since triangle ABC is congruent to triangle CDE, we can set up the following equations:

4x - 1 = 5
4 = x + 2

Simplifying these equations, we get:

4x = 6
x = 1

Therefore, the value of x is 1. So, the correct answer is d. x = 1.

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The percentage of Spencer's average monthly net pay that is left over for savings after monthly expenses is B. 16 %.

To find the percentage of Spencer's money that goes to savings, you first need to find his monthly pay :

= Weekly pay x 4 weeks per month

= 231. 25 x 4

= $ 925. 00

Then find the amount left for savings :

= Monthly pay - Monthly expenses

= 925 - 771. 60

= $ 153. 40

The percentage is therefore:

= 153. 40 / 925 x 100%

= 16. 6 %

= 16 % approx.

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0.688 will be the probability of getting a nickel from the jar.

Given,

Probability;-

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Here,

The number of fortunate situations divided by the total number of coins would be the product between the probability of each occurrence and the likelihood of each event.

Therefore,

P(nickel) = 19/69

P(penny) = 17/68

That is,

P = 19/69 × 17/68

P = 323/4692

P = 0.0688

That is,

The probability of getting nickel from the jar is 0.06888

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Step-by-step explanation:

-4x-10 willl be the answer I think question is not complete it should be equal to 0 or something

-4x - 10

The properties of equality allow us to simplify algebraic expressions.

Distributive Property

In order to simplify the expression, the first thing we need to do is simplify the parentheses. One of the properties of equality is the distributive property. The distributive property states that we can multiply each term inside the parentheses individually. This means that:

So, we can rewrite the expression as -4x - 4 - 6.

Combining Like Terms

The next step in simplifying the expression is combining like terms. Like terms are terms that contain the same variable to the same power. By this definition, all constants are like terms. So, we can combine -4 and -6 in order to rewrite the equation.

The fully simplified expression is -4x - 10. This expression can also be factored into the form -2(2x + 5).

Mine is not heating up I don't know about others

Answer:6

Step-by-step explanation:If jayden made 5% of his free throws and he shot 120 free throws you have to find 5% of 120.

5% of 120 = 6  

So Jayden shot a total of 6 free throws during the season

The Volume of cylinder represented by the option B.

According to the statement

we have given that the volume formula of cylinder is V= (pi)r^2h, and we have to find that the which expression verify the volume formula for the cylinder given in diagram.

So,

We know that height of the cylinder is given by h = 2x + 7 and

radius r = x - 3.

We know that the formula of volume of cylinder is:

Volume of a cylinder = (pi)r^2h

and Substituting the given values in the above formula

And the volume becomes

Volume = (pi)r^2h

Volume = (pi)( x-3 )^2 (2x+7)

Volume = (pi) ( x^2 + 9 - 6x ) (2x+7)

Volume = (pi) ( 2x^3 + 7x^2 +18x +63 - 42x)

So, The Volume of cylinder represented by the option B.

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Disclaimer: This question is incomplete. Please find the full content below.

Question:

The volume of a cylinder is given by the formula V= pi^2h, where r is the radius of the cylinder and h is the height: which expression represents the volume of this cylinder?

a) Volume = (pi) ( 3x^3 + 7x^2 +14x +63 - 42x)

b) Volume = (pi) ( 2x^3 + 7x^2 +18x +63 - 42x)

c) Volume = (pi) ( 7x^3 + 7x^2 +11x +63 - 42x)

d) Volume = (pi) ( 11x^3 + 7x^2 +13x +63 - 42x)

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The 95% confidence interval for the average amount of money spent on food by professional football fans at a single game is $52 ± $10.02.

To calculate the 95% confidence interval, we need to use the formula:

Confidence Interval = Sample Mean ± (Critical Value * Standard Error)

The critical value is obtained from the t-distribution table for a 95% confidence level with n-1 degrees of freedom. Since the sample size is 10, the degrees of freedom is 10 - 1 = 9.

Looking up the critical value in the t-distribution table, we find that it is approximately 2.262 for a 95% confidence level with 9 degrees of freedom.

The standard error is calculated by dividing the sample standard deviation by the square root of the sample size:

Standard Error = Sample Standard Deviation / √n

Plugging in the values, we have:

Standard Error = $17.50 / √10 ≈ $5.52

Finally, we can calculate the confidence interval:

Confidence Interval = $52 ± (2.262 * $5.52) ≈ $52 ± $10.02

Therefore, the 95% confidence interval for the average amount of money spent on food by professional football fans at a single game is approximately $41.98 to $62.02.

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a random variable can have any value that is possible within the range of -infinity and infinity.So a. can have any value between -infinity and infinity.

A random variable from an experiment with outcomes that are normally distributed can take on any value between -infinity and infinity. This means that it can take on any real number, including fractions and decimals. It is not limited to only a few discrete values, nor does it have to be positive.

A random variable from an experiment with outcomes that are normally distributed can take on any real value between -infinity and infinity. This means that the variable is not limited to a few discrete values, nor does it have to be positive. Instead, it can have any value, no matter how small or large, and including fractions and decimals. Such a random variable can have any value that is possible within the range of -infinity and infinity.

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The amount you will pay for the digital downloads is $6.50

In this question, we have the following parameters

Mark up proportion = 30%

Cost of digital download = $5.00

This means that

New price = cost of digital downloads x (1 + Mark up)

Substitute the known values in the above equation, so, we have the following representation

New price = $5.00 x (1 + 30%)

Evaluate the product

New price = $6.50

Hence, the new price is $6.50

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Therefore, The Coordinates of the THIRD VERTEX is:  ( 5, -3 )

        Calculate the midpoint of the given vertices:

        MidPoint = ( -5 + 5/2,  3 + 3/2 )

        MidPoint = ( 0, 3 )

        Distance = √( -5 -5 )^2 + ( 3 - 3 )^2

        Distance = √( -10 )^2  +  (0)^2

        Distance = √100

        Distance =  10

        Side Length =  10/√3

        Side Length = 10/1.7

        Side Length = 5.88

        Height = √3/2  *  Side Length

        Height  = 1.7/2  *  5.88

        Height  =  5

Since the origin lies inside the triangle, The Third Vertex will have a Positive  X-Coordinate and a Negative Y-Coordinate.

       ( x, y )

        x  =  -5 + x/2

        y   =  3 + y/2

       x  =  5

       y  = -3

        Hence, The Coordinate  of the Third Vertex is:  ( 5, -3 )

I hope this helps!

Answer:

the answer to the question is 57.... please give me brainliest

Step-by-step explanation:

\(19 =r \div 3 \\ 19 \times 3 = r \div 3 \times 3 \\ 57 = r \\ therefore \\ r = 57 \)

Only 1 solution because you pass through the x-axis only once. Here is an example image below.

Compound Interest

The final value (FV) of an investment P after t years is calculated with the formula:

Where r is the annual interest rate and m is the number of compounding periods per year.

We are given the following data:

P = $7000

t = 13 years

r = 7% = 7 / 100 = 0.07

The compounding period varies from part to part.

a) Annually

In this case, m = 1 because the money compounds once per year. Applying the formula:

Calculating:

The final value is $16868.92

b) Semiannually. The money compounds twice a year, so m = 2. Applying the formula:

The final value is $17121.71

c) Quarterly. The money compounds 4 times a year, so m = 4. Applying the formula again:

The final value is $17253.92

d) Daily (calendar year). In this case, we use m = 365:

The final value is $17388.74

e) Continuously. We use a slightly different formula here:

Applying the formula:

The final value is $17390.26

Answer:

5x

Step-by-step explanation:

The natural log of 5x is the exponent to give e to get 5x as a result.  You are simply applying the definition of logarithm

The expression \(e^{ln(5x)\) evaluates to 5x after simplification.

Option: A is correct.

Here, we have,

The expression \(e^{ln(5x)\) involves two important mathematical properties:

\(e^{ln(x)} = x\):

This is a fundamental property of the natural logarithm and the base of the natural exponential function, e.

When the natural logarithm (ln) and the natural exponential function \((e^x)\) are composed, they "cancel out," and the result is the argument inside the ln function (x).

\(e^0 = 1\):

The natural exponential function raised to the power of 0 is equal to 1.

Now, let's simplify the expression step by step:

\(e^{ln(5x)\)

Using property 1,\(e^{ln(5x)\) simplifies to:

5x

Therefore, the correct option is "5x."

The expression \(e^{ln(5x)\) evaluates to 5x after simplification.

Option: A is correct.

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Answer:

5.82.384.8+9×8=8×99+8×6×8+9×

Answer: They are equivalent

Step-by-step explanation:

2.2x+3.8x=6x

5.5-4.1=1.4

Answer:

(14, - 3 )

Step-by-step explanation:

Under the translation < 6, 0 >

Add 6 to the x- coordinate and 0 to the y- coordinate, that is

B(8, - 3 ) → B'(8 + 6, - 3 + 0 ) → B'(14, - 3 )

To solve the problem of a vibrating string with damping using numerical methods and time steps, follow these steps:

1. Discretize the string into a set of points along its length.

2. Use a finite difference method, such as the central difference method, to approximate the derivatives in the equation.

3. Apply the difference equation to each point on the string, considering the damping force and given parameters.

4. Set up the initial conditions for the string's displacement and velocity at each point.

5. Iterate over time steps to update the displacements and velocities at each point using the finite difference equation.

6. Compute and store the values of the solution at selected points for analysis.

7. Compare the numerical solution with the analytical solution, if available, to assess accuracy.

8. Plot the results to visualize the behavior of the vibrating string over time.

9. If using MATLAB, write a script to implement the numerical method and generate plots.

Note: The specific equation and initial conditions are missing from the given question, so adapt the steps accordingly.

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Answer:

\( - 13107\)

Step-by-step explanation:

We would like to evaluate the following Geometric Series ,

\(\displaystyle\longrightarrow \sum _{n=1}^8 (-4)^{n-1 }\)

In a geometric series, a common number is multiplied to the previous term in order to find the next term . And that common number is called common ratio (r) .

As we know that ,

\(\displaystyle\longrightarrow \sum_{x = 1}^n f(x) = f(1) + f(2) + \dots + f(n) \)

So , we can write the series as ,

\(\displaystyle\longrightarrow (-4)^{1-1}+(-4)^{2-1}+\dots +(-4)^{8-1} \)

Simplify,

\(\displaystyle\longrightarrow (-4)^0 + (-4)^1+(-4)^2+\dots +(-4)^7 \)

We can find the common ratio by dividing and successive term by its preceding term , as ;

\(\displaystyle\longrightarrow r =\dfrac{-4}{1}=-4 \)

Again , here ;

And we can find the sum of geometric series using the formula , ( this is used when the value of r is less than 1 , here it is -4 ) .

\(\displaystyle\longrightarrow \Bigg[ Sum = \dfrac{a(1-r^n)}{1-r}\Bigg] \)

On substituting the respective values, we have;

\(\displaystyle \longrightarrow\rm{ Sum }=\dfrac{ 1\{1-(-4)^8\}}{1-(-4)}\\ \)

Simplify ,

\(\displaystyle\longrightarrow \rm{Sum} = \dfrac{1-65536}{1+4}\\\)

\(\displaystyle\longrightarrow \rm{Sum} = \dfrac{-65535}{5} \)

Simplify by dividing ,

\(\displaystyle\longrightarrow \underline{\underline{ \rm{Sum} = -13107}} \)

And we are done !

Answer:

Answer: 21

Step-by-step explanation:

If cost is the same

\({ \rm{C_{r} =C _{b} }} \\ \\ { \rm{175 + 12(n - 10) = 125 + 14(n - 8)}} \\ \\ { \rm{50 + 12n - 120 = 14n - 112}} \\ \\ { \rm{n = 21}}\)

The polynomial equation representing the situation is 4x² + 56x = 93  .

In the question ,

it is given that

the length of the rectangular garden is = 16 feet

the width of the rectangular garden is = 12 feet

we have to surround the border by mulch ,

the width of the border with mulch is = x

So the new length with mulch = 16 + x + x = 16 + 2x

and the new width with mulch is = 12 + x + x = 12 + 2x

also given that the area of garden plus border is = 285 square feet

we know that the area is = length × width

On substituting the values length and breadth , we get

285 = (16 + 2x)×(12 + 2x)

285 = 192 + 32x + 24x + 4x²

4x² + 56x + 192 = 285

4x² + 56x = 285 - 192

4x² + 56x = 93

Therefore , The polynomial equation representing the situation is 4x² + 56x = 93  .

The given question is incomplete , the complete question is

Garden a rectangular garden is 12 feet across and 16 feet long. it is surrounded by a border of mulch that is a uniform width x. the maximum area for the garden, plus border, is 285square feet . Write a polynomial equation to represent the situation ?

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Answer:

$12

Step-by-step explanation:

100% of x = x. This would be the same no matter what number used. 100% of 294 = 294.

Answer:

100% of $12 = $12

Step-by-step explanation:

\(100 \% \: of \: \$12 \\ \\ = \frac{100}{100} \times 12 \\ \\ = \$12 \)

Answer:

15/19

Step-by-step explanation:

Nesta pergunta, queremos calcular a probabilidade de que uma bola retirada da urna não seja preta.

Existem três cores, uma vez que a bola removida não é preta, então é uma das outras duas cores.

Isso significa que a bola é branca ou vermelha. Observe que a probabilidade de a bola não ser preta é 1 menos a probabilidade de a bola ser preta Vamos descobrir a probabilidade de que a bola seja preta;

Matematicamente, isso seria;

número de bolas pretas / número total de bolas.

O número total de bolas é; 10 + 5 + 4 = 19 número de bolas pretas = 4

A probabilidade de a bola ser preta é de 4/19

Portanto, a probabilidade de que a bola não seja uma bola preta é

1 - 4/19 = 15/19

Answer:

25

Step-by-step explanation:

Answer: 25

Step-by-step explanation:

The value x in the formula represents the value of each observation of the data-set.

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Answer: Rotation

Step-by-step explanation:

     If we look at the shapes, we can see that TSVU is rotated around point U into shape YWXU.

     Reflection means the point is directly reflected, like a mirror.

     Translation means the shape is moved in a direction (like up or down).

     Rotation means the shape is spun around, like a clock. Here, the shape is rotated.

Answer:

A. 4

Step-by-step explanation:

B is the variable. C is not apart of the function. I Hope this helps. Im trying to level up so I'd appreiciate it if you marked me as brainliest. Thank you!

Answer:

D ($28)

Step-by-step explanation:

-12 + -9 + -7 = -28