Brianna bought a compact disk for $10. An instant rebate gave her a discount and she only had to pay $7.50 for the CD. What is the discount, as a percent, that the instant rebate gave her?

Answer:

( 5x + 7 ) ²

Step-by-step explanation:

25 x ² + 70 x + 49

Identity Used

= 25 x ² + 35 x + 35 x + 49

= 5 x ( 5x + 7 ) + 7 ( 5 x + 7)

= ( 5x + 7 )

More to know about Algebraic Identities :-

Answer:

(5x + 7)2.

The expression is in the form a2x2 + 2abx + b2, where a = 5 and b = 7.

Thus, it can be factored as a perfect square trinomial.

The approximate standard-deviation for how long she will wait is 3.2 minutes.

To find the approximate "standard-deviation" for how long Alice will wait for the shuttle, we use the formula for the "standard-deviation" of a uniform distribution.

For a continuous uniform-distribution between "a" and "b", the standard deviation is given by the formula:

σ = (b - a) / √12

In this case, the values for X, representing the time before the next shuttle arrives, are uniformly distributed between 6 and 17 minutes.

So, σ = (17 - 6) / √12

= 11 / √12

= 3.175 ≈ 3.2,

Therefore, Rounded to one decimal place, the standard-deviation for time Alice will wait is 3.2 minutes.

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Answer:

42

Step-by-step explanation:

6+8=14x3=42

42/3=14-6=8

Rounding to the nearest tenth of a percent, we find that approximately 65.5% of the data is less than 105.

To find the percentage of the data that is less than 105 in a normal distribution with a mean of 100 and a standard deviation of 15, we can use the standard normal distribution table or a statistical calculator.

Using a standard normal distribution table, we need to calculate the z-score for the value 105, which represents the number of standard deviations away from the mean:

z = (x - μ) / σ,

where x is the value (105), μ is the mean (100), and σ is the standard deviation (15).

Substituting the values:

z = (105 - 100) / 15 = 5 / 15 = 1/3.

Looking up the z-score of 1/3 in the standard normal distribution table, we find that it corresponds to approximately 0.6293.

The percentage of the data that is less than 105 can be calculated by converting the z-score to a percentile:

Percentile = (0.5 + 0.5 * erf(z / √2)) * 100,

where erf is the error function.

Substituting the z-score into the formula:

Percentile = (0.5 + 0.5 * erf(1/3 / √2)) * 100 = (0.5 + 0.5 * erf(1/3 / 1.414)) * 100.

Calculating this value gives us approximately 65.48.

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Answer:

im using my own knowledge hopefully this is helpful

Orion

milky way

life

earth

years

G2V (I'm not sure with this one)

earths

Step-by-step explanation:

Answer: 1600 feet the second answer

hope this helped! :)

Answer:1600

Step-by-step explanation:

Answer:

8x^2+16x+16

Step-by-step explanation:

The combined area is the sum of both expressions.

2x^2-13x+21+6x^2+29x-5

8x^2+16x+16

8(x^2+2x+2)

You're right. The multiple choice is just wrong.

Answer:

uhh that's a negative decimal unsure what you want

If there is orange with a volume of 113.1 cm3, the area of the cross-section when the orange is cut in half is approximately 34.9 sq cm.

If we assume that the orange is a sphere and has a volume of 113.1 cm3, we can use the formula for the volume of a sphere to find the radius of the orange. The formula for the volume of a sphere is V = (4/3) * pi * r^3, where r is the radius of the sphere.

Substituting the given volume of 113.1 cm3 and solving for the radius r, we find that r = (3V / (4 * pi))^(1/3) = (3 * 113.1 / (4 * pi))^(1/3) approximately 3.3 cm.

Next, we can use the formula for the surface area of a sphere to find the area of the cross-section when the orange is cut in half. The formula for the surface area of a sphere is A = 4 * pi * r^2, where r is the radius of the sphere. Substituting the value of the radius that we calculated above, we find that the area of the cross-section is A = 4 * pi * (3.3 cm)^2 approximately 34.9 sq cm.

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Answer:

To find the mean height of all 10 children, we need to find the total height of all the children and divide it by the number of children. The total height of the four girls is 4 * 1.4 = <<41.4=5.6>>5.6m

The total height of the six boys is 6 * 1.7 = <<61.7=10.2>>10.2m

The total height of all 10 children is 5.6 + 10.2 = <<5.6+10.2=15.8>>15.8m

The mean height of all 10 children is 15.8/10 = <<15.8/10=1.58>>1.58m. Answer: \boxed{1.58}.

Step-by-step explanation:

Answer:

slope: 2/3

y intercept: -1

Step-by-step explanation:

slope: rise/run

The total area under a probability density function is always equal to 1.

This means that the probability of any possible outcome occurring in the given probability distribution is 1, or 100%. The area under the probability density function represents the likelihood of a random variable falling within a particular range of values, and the total area represents the probability of all possible outcomes.

The probability density function can be used to calculate the probability of a random variable taking on a specific value, as well as the probability of a random variable falling within a certain range of values. The area under the probability density function can be calculated using integration techniques.

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\(The given function is: $f(x,y)=\sin(x-6y+2)$.\) As the sine function can take any real number as input and give an output between -1 and 1, the domain of \($f(x,y)$ is $\boxed{\textbf{(D)}\ \mathbb{R}^2}$.\)

Therefore, option D is the correct choice.

To find the domain of the function

f(x,y)=sin(x−6y+2), we need to determine the values of

y for which the function is defined.

Since

sin

⁡

sin is a trigonometric function, it is defined for all real numbers.

Therefore, there are no restrictions on the domain of the function in terms of

x. The variable

x can take any real value.

However, the variable

y, there are no restrictions mentioned in the function. Therefore,

y can also take any real value.

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The domain of the function f(x, y) = sin(x − 6, y + 2) is {(x, y) : x, y ∈ R}. Hence the correct option is OD. R².What is the domain.

A domain is the set of all possible values that the input of a function can be, that is, it is the set of all possible x values. The domain of a function determines the values that can be plugged into a function to get an output.The interval (x, y): x, y R is the domain of the function f(x, y) = sin(x 6, y + 2) OD is therefore the right answer. R2.What does domain meanA domain is the collection of all values that may be used as an input to a function, or the collection of all conceivable x values. The values that can be entered into a function to produce an output are determined by the function's domain.

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Answer:

C. 12x

Each box has 12 envelopes.

The number of total envelopes will be the number of envelopes in a box multiplied by the number of boxes. The number of boxes is unknown, so it is replaced by the variable. This gives us 12x

The value of Sin2t is 1/4 and cos2t is (15/16)^1/2  and tan2t is 1/(15)^1/2.

According to the statement

we have given that the sint=1/8 then we have to find the exact value of

sin(2t) , cos(2t) , and tan(2t).

Here the value of Sint = 18

then sin2t becomes

sin2t = 2*1/8 then

sin2t = 1/4.

And

(Cos2t)^2 = 1 - (Sin2t)^2

(Cos2t)^2 = 1 - 1/16

(Cos2t)^2 = (16 - 1)/16

(Cos2t)^2 = 15/16

(Cos2t) = (15/16)^1/2

then

tan2t = sin2t/cos2t

tan2t = (1/4)/(15)^1/2 / 4

tan2t = 1/(15)^1/2

these are the values of given terms.

So, The value of Sin2t is 1/4 and cos2t is (15/16)^1/2  and tan2t is 1/(15)^1/2.

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Answer: No -1 is not an irrational number.

Step-by-step explanation: The number 1 can be classified as a natural number, a whole number, a perfect square, a perfect cube, an integer. This is only possible because it is a rational number, not irrational.

Answer:

it is the 3rd one

Step-by-step explanation:

Answer:

it's e/g

Step-by-step explanation:

adjacent/hypotenuse

the third option, as stated by someone else, is hypotenuse/adjacent, makig it incorrect

The two statements "if it is a triangle, then it has three sides and If it does not have three sides, then it is not a triangle is logically equivalent

A sentence is logically equivalent if the two sentences are true in exactly the same circumstances or false in exactly the same circumstances.

From the question we have two statements

Statement 1: If it is a triangle, then it has three sides.

Statement 2: If it does not have three sides, then it is not a triangle.

Since a triangle only have 3 sides and any contradiction makes the statement false, hence we can conclude that the two statements "if it is a triangle, then it has three sides and If it does not have three sides, then it is not a triangle is logically equivalent

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Answer:

Let x = Kilometers  by bus  

then x + (x + 350) = 1100

2x = 750

x = 375 by bus

x - 350 + x = 1100

2x = 1450

x = 725 by train

i hope this helps a little bit

Answer:

1. 18

2. 5

3. 8

4. 6

5.-12

Step-by-step explanation:

im not really sure how to explain it to you but the first one that were positive numbers you can just subtract them and get the answer which i gave the forst five to you and when you are this is just an example of the adding the negative numbers 4. -15 + n = -9 you can subtract it and you'll get -15 - (-9) = -6

but if you put negative six it's gonna be the wrong answer sooo you just switch it to a positive number 6 because if you put -15 + (-6) = -21 and when its like this -15 + n = -9 the answer is smaller that the bigger number sooo the only right thing to do it put the positive 6

i hope i got you understanding it a little more if i didnt im soory i tried but the 5 answers i gave you correct

Answer:

B

Step-by-step explanation:

A P E X stop posting the wrong answer its annoying  

Answer:

Really you can do that next time send a picture of what it says. :) That would help.

Step-by-step explanation:

Just do what it says maybe show it for help then graph them. Your welcome :)

Answer:

B

Step-by-step explanation:

No matter what value you multiply a, the fraction will remain unchanged. That is because you can divide an a out from the numerator and the denominator. Thus, doubling a has no affect on the fraction, and in fact, u can simplify it to just bc. Now, if you halve b, it will simply just halve the actual value. When you halve b, you are simply executing (1/2)(b)(c). Therefore, you can rearrange the expression to be (1/2)(bc), which is just halving bc. If you decrease by 1/2, it's the same thing as being half of the value it was before. Therefore, the answer is b.

Answer:

2 cups per teaspoon

Step-by-step explanation:

3/4 cups of sugar for every 3/8 teaspoon of cinnamon what is the unit rate of cups per teaspoon

From the question:

3/4 cups = 3/8 Teaspoons of cinnamon

the unit rate of cups per teaspoon is calculated as:

3/4 cups÷ 3/8 teaspoons

= 3/4 ×8/3

= 2 cups per teaspoon

Answer:

Exact fraction: 6/5

Exact Decimal: 1.2

Answer:

  12/5 = 2.4

Step-by-step explanation:

The fraction 6/10 can be reduced to simplify the addition.

  9/5 -(-6/10) = 9/5 +6/10 = 9/5 +3/5

  = 12/5 = 2.4

__

The two minus signs "cancel." The product of any set of numbers with an even number of minus signs will be positive.

The graph of y is vertically compressed by an factor of √8 which is the transformation of the function.

The important technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation. In particular, the change of the various algebraic equations which is a particular  kind of algebraic problem.

The base or parent function is y=√8x³+1.

Here the transformed function is y= x³+1.

Therefore the graph is vertically transformed by the factor of √8 .

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Answer:

Step-by-step explanation:

1.x +y = 1   Yes

2. Power of variable e is 3. So, it is not a linear equation

No.

3) Great than symbol is there. No, it is not a linear equation.

4. 2x -y = 2x + 5

2x - y - 2x = 5

      -y = 5 is not a linear equation with two variable.

No.

5. No.

1) (5,14)  ; (19,7)

\(Slope = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{7-14}{19-5}\\\\=\dfrac{-7}{14}\\\\=\dfrac{-1}{2}\)

2) (-10 , 1)  ; (-10 ,4)

x- coordinate is same for both the points. So, the line is parallel to y-axis

Slope = undefined

\(3) (-3,-3) ; (15,13)\\\\slope=\dfrac{13-[-3]}{15-[-3]}\\\\=\dfrac{13+3}{15+3}\\\\=\dfrac{16}{18}\\\\=\dfrac{8}{9}\)

\(4)(\dfrac{-1}{2},\dfrac{1}{7}) ; (\dfrac{-3}{2},\dfrac{2}{7})\\\\Slope=\dfrac{\dfrac{2}{7}-\dfrac{1}{7}}{\dfrac{-3}{2}+\dfrac{1}{2}}\\\\\\=\dfrac{\dfrac{1}{7}}{\dfrac{-2}{2}}\\\\\\=\dfrac{\dfrac{1}{7}}{-1}\\\\\\=\dfrac{-1}{7}\)

Compare with y = mx + b  ; here m is slope

1. y = -2x - 8

slope = -2

2. x = 3

Line is parallel to y-axis.

So, slope = undefined

3.2x - y = 4

        2x - 4 = y

y = 2x - 4

Slope = 2

4.) 2x + y - 5 = 0

       y = -2x + 5

Slope = -2

the correct answer is 2.39 ft, which corresponds to option 2.

To determine the height of the cylindrical rain barrel, which has a radius of 2 feet and holds 30 cubic feet of water, we need to solve for the height using the given information and the formula for the volume of a cylinder. The answer choices provided are: 1. 58 ft, 2. 39 ft, 3. 57 ft, and 4. 78 ft.

The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height. In this case, we are given the radius as 2 feet and the volume as 30 cubic feet.

Substituting the given values into the formula, we have:

30 = 3.14 * 2² * h

Simplifying the equation:

30 = 12.56 * h

h = 30 / 12.56

h ≈ 2.39 ft

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