Select the polynomials that are a difference of squares.

y^4-2
25m^2n^4-1
p^8-q^4
16x^2-24

The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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Answer:

Step-by-step explanation:

the student buys a total of 8 magazines for $14.00

x+y = 8

x = 8-y

2x+1.6y = 14

2(8-y)+1.6y = 14

16-2y+1.6y = 14

16-0.4y = 14

0.4y =16-14 = 2

y = 2/0.4 = 5

x = 8-y = 3

The correct equation best represents the situation is,

⇒ x + y = 8

And, 2x + 1.60y = 14.00

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A student buys (x) fashion magazines and (y) sports magazines.

And, Each fashion magazine costs $2.00 and each sports magazine costs $1.60.

Here, The student buys a total of 8 magazines for $14.00.

Hence, We can formulate;

⇒ x + y = 8

And, 2x + 1.60y = 14.00

Thus, The correct equation best represents the situation is,

⇒ x + y = 8

And, 2x + 1.60y = 14.00

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Answer:

1.94

Step-by-step explanation:

you first do 2.91 divided by 3 then you should get .97 then multiply that by 2

On dividing 28.5 by 10 we get 2.85.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is 28.5 divided by 10.

Assume that on dividing 28.5 by 10, we get [x]. Then -

10x = 28.5

x = 28.5/10

x = 2.85

Therefore, on dividing 28.5 by 10 we get 2.85.

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Answer:

C IS THE ANSWER

Step-by-step explanation:

plz tell me if I am right plZ

Answer:

c

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

There are 4 numbers and 6 possible values the spinner can land on

P(even) = 4/6 = 2/3

Answer:

C. Yes, there is an outlier at 110. This means that one person's age was 110, which is 25 years older than the next closest age.

Step-by-step explanation:

An outlier is a data point that sticks out like a sore thumb. It's so different from the rest of the data that it makes you wonder if it's a mistake or a miracle. One way to spot an outlier is to use the 1.5IQR rule, where IQR stands for interquartile range. The interquartile range is the gap between the third quartile (Q3) and the first quartile (Q1) of the data. The 1.5IQR rule says that any data point that is more than 1.5*IQR above Q3 or below Q1 is an outlier.

In this case, the first quartile (Q1) is 75, the third quartile (Q3) is 85, and the interquartile range (IQR) is 10. So, any data point that is more than 1.5*10 = 15 above 85 or below 75 is an outlier. The only data point that does this is 110, which is 25 above 85. That means 110 is an outlier.

What does this outlier mean in this situation? It means that one person who came to the senior center that afternoon was way older than the rest of the folks. The average age of the visitors was not changed by this outlier, since it was just one out of 12 data points. But, the outlier does mess up the range and the standard deviation of the data, making them bigger than they would be without the outlier.

Answer:The answer is C

Step-by-step explanation:I did the test.

AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .

What is congruent ?

Congruent refers to having the same shape and size. In mathematics, two objects are said to be congruent if they are identical in shape and size, and can be superimposed onto one another. The symbol used to represent congruence is ≅. Congruence applies to various geometric objects, such as triangles, rectangles, circles, and more. When two objects are congruent, they have all corresponding angles equal and all corresponding sides equal in length.

Step 1: Statement: \($\angle DBE = \angle EBC$\)

Reason: Given that overline BE bisects \($\angle DBC$\)

Step 2: Statement: \($\angle DBC + \angle EBC = 180^\circ$\)

Reason: Angle sum property of a straight line.

Step 3: Statement: \($\angle ABC + \angle EBC = 180^\circ$\)

Reason: Angles on a straight line sum to \(180^\circ$, and $\overline{BE} || \overline{AC}$\) implies that \(\angle ABC$ and $\angle EBC$\) are co-interior angles.

Step 4: Statement: \($\angle ABC = \angle DBC$\)

Reason: From step 2 and step 3, \($\angle ABC + \angle EBC = \angle DBC + \angle EBC = 180^\circ$\). Thus, \($\angle ABC = \angle DBC$\).

Step 5: Statement: \($\triangle ABE \cong \triangle CBE$\)

Reason: By the angle-angle-side congruence criterion, since \($\angle DBE = \angle EBC$\) (from step 1) and \($\angle ABC = \angle DBC$\) (from step 4), and \($\overline{BE}$\) is common to both triangles.

Step 6: Statement: \($AB = BC$\)

Reason: By step 5, \($\triangle ABE \cong \triangle CBE$\), so corresponding sides are congruent, including \($\overline{AB} \cong \overline{BC}$\).

Therefore, AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .

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Answer:

h(4) = 43

Step-by-step explanation:

h(4) = 7(4) + 15

h(4) = 28 + 15

h(4) = 43

Answer:

h(4) = 43

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define

h(x) = 7x + 15

x = 4

Step 2: Evaluate

the answer is 8^(-3)

The given system of equations to have a Unique solution, the value of k must be any real number except 1 (k ≠ 1).

The value of k for which the given system of equations has a unique solution, we can use the concept of determinants. The system of equations is as follows:

kx + 2y = 3   -- (1)

3x + 6y = 10  -- (2)

To have a unique solution, the determinant of the coefficients of x and y must not be zero.

The determinant of the coefficient matrix for the system is:

D = | k   2 |

       | 3   6 |

By calculating the determinant, we have:

D = (k * 6) - (2 * 3)

D = 6k - 6

For the system to have a unique solution, the determinant D must not equal zero.

6k - 6 ≠ 0

Simplifying the inequality:

6k ≠ 6

Dividing both sides by 6:

k ≠ 1

Therefore, for the given system of equations to have a unique solution, the value of k must be any real number except 1 (k ≠ 1).

In other words, if k is not equal to 1, the system of equations will have a unique solution. If k is equal to 1, the system will either have infinitely many solutions or no solution.

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Answer:

The two trees will be 36 inches tall when they are the same height. It will take 3 months for the trees to reach the same height.

Answer:

c 0.28 m

Step-by-step explanation:

A construction worker uses a tape measure to find that a pipe is 28/100 of a meter long. Select the decimal that represents the same length.

a 1.28 m

b 2.8 m

c 0.28 m

d 0.028 m

Given:

Length of the pipe in fraction = 28/100

What is the equivalent length in decimal?

28/100

How many hundred can you get in 28

= 0. Remainder 28

Add 0 to 28 which makes it 280

How many hundred can you get in 280

= 2 remainder 80

Add 0 to 80 which makes it 800

How many hundred can you get in 800

= 8 remainder 0

Bring all the quotient together

Therefore,

28/100 m = 0.28 m

The average time Americans spend watching TV per day is reported to be approximately 300 minutes, following a normal distribution with a standard deviation of 26 minutes.

To address this question, we can use the provided information to describe the distribution of minutes per day spent watching TV by Americans.

Given that the distribution follows a normal distribution, we can assume that the data is symmetrically distributed around the mean. The mean of the distribution is given as 300 minutes.

The standard deviation, which measures the spread of the data, is stated as 26 minutes. This indicates that most people fall within one standard deviation of the mean.

Using the properties of a normal distribution, we can make various probabilistic statements. For example, approximately 68% of Americans would spend between 274 minutes (mean - 1 standard deviation) and 326 minutes (mean + 1 standard deviation) watching TV per day.

By understanding the characteristics of the normal distribution and the provided parameters (mean and standard deviation), we can analyze and make predictions about the amount of time Americans spend watching TV on a daily basis.

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Answer:

A) Reflection over the y-axis

Step-by-step explanation:

The graph is given as : f(x) = | x |

As attached, the graph open upwards originating from the origin.

A reflection on the y-axis will map the points on the right to points on the left. For example, a point (4,4) will map to point  (-4,4) and vice versa to maintain the same graph with no effect.

Answer choice B is incorrect in that a point   (-2,2) will be mapped to  (2,-2) which has an effect on the -ve sign which will shift from the x-coordinate to the y coordinate.

Answer choice C is incorrect because a point (2,2)  will be mapped to a point (-2,-2) which has an effect in that the transformation has introduced a  -ve sign in its object coordinates for the image coordinates.

Answer choice D is incorrect because the graph formed for the image will open downwards unlike the graph for the object.

The slope of the line that passes through the points (-5, 6) and (-9, -6) is 3

What is slope ?

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

Let the given points as shown:

(x1,y1)= (-5, 6) and (x2,y2)= (-9, -6)

Slope = m = (y2-y1) /( x2-x1)

                 = (-6-6) /(-9-(-5))

                 = -12/-4

                 = 3

So, the slope of the line that passes through the points (-5, 6) and (-9, -6) is 3

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The volume of the cone is \(\frac{1}{3} \pi r^{2}h\)

Volume = \(\frac{1}{3} \pi (6)^{2} *6=226.08ft^{3}\)

Hope that helps!

The correct answer is: To express each individual outcome when repeatedly rolling a die until getting a 3, you can create a list using the numbers rolled and an ellipsis (...) to indicate repetition.

To express each individual outcome when repeatedly rolling a die until getting a 3, you can create a list using the numbers rolled and an ellipsis (...) to indicate repetition. Your answer would be:

Individual outcome: {1, 2, 4, 5, 6, 3}, {1, 2, 4, 5, 6, 1, 2, 4, 5, 6, 3}, {1, 2, 4, 5, 6, 1, 2, 4, 5, 6, 1, 2, 4, 5, 6, 3}, ...

In each list, you roll the die until you get a 3, and you can repeat this process infinitely. The ellipsis indicates that this pattern continues indefinitely.

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Answer:

46 minutes

Step-by-step explanation:

Teresa purchased a prepaid phone for $15

Long distance calls cost 24 cents a minute using this card

She used the card just once to make a long distance call

The remaining credit on her card was $3.96

Therefore the minutes in which her call lasted can be calculated as follows

Let x represent the minutes

15 - 24/100x= 3.96

15-0.24x= 3.96

-0.24x= 3.96-15

-0.24x= -11.04

x= 11.04/0.24

x = 46

Hence Teresa call lasted for 46 minutes

Answer:

\(\frac{31}{(5x+2)^2}\)

Step-by-step explanation:

See image for quotient rule

f(x)= numerator = 3x-5

g(x)= denominator = 5x+2

so we have

\(\frac{(5x+2)(3x-5)'-(3x-5)(5x+2)'}{(5x+2)^2}\\(3x-5)'=3\\(5x+2)'=5\\\frac{(5x+2)(3)-(3x-5)(5)}{(5x+2)^2}\\\frac{15x+6-(15x-25)}{(5x+2)^2}\\\frac{31}{(5x+2)^2}\)

The equation of the exponential model is f(x) = 3 * 0.2^x

The table of data is given as:

x(-2,-1,0,1,2)

f(x)(71,13,3,0.6,0.1)

An exponential model is represented as:

f(x) = ab^x

When x= 0 and f(x) = 3;

We have:

ab^0 = 3

This gives

a = 3

When x= 1 and f(x) = 0.6

We have:

ab^1 = 0.6

This gives

ab = 0.6

Substitute 3 for a

3b = 0.6

Divide both sides by 3

b = 0.2

Substitute b = 0.2 and a =3 in f(x) = ab^x

f(x) = 3 * 0.2^x

Hence, the equation of the exponential model is f(x) = 3 * 0.2^x

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1st. since we are adding whats in the ( ), ignore them. If we were multiplying or dividing it would not be that easy, but we arent. 2nd, add your like terms.... so (4-2x)+(3x-2) would become 4 - 2x + 3x - 2..... which by adding like terms we can simplify that by adding (-2x) + (3x) which gives us 1x or just x. then 4 - 2 is just 2... sooooo,.... x -2 is your answer.

Credit to: sma51664 for getting the right answer

Answer:

x^3y^2√xy

Step-by-step explanation:

First, you calculate what's in the square root. x^2 becomes x and y^4 becomes y^2.

Then you distribute the 1/2 to the x^5 and the y so they become x^5/2 and y^1/2.

Next, you combine the like terms. x and x^5/2 becomes x^7/2. y^2 and y^1/2 become y^5/2.

So you have x^7/2 y^5/2

To get rid of the 2 on the bottom of the exponents you square root both variables.

So you get √x^7 y^5 (square rooted x^7 and y^5)

Simplify the square rooted problem to x^3 y^2 √xy

You get x to the third power y to the second power and square rooted xy.

Answer:

87

Step-by-step explanation:

So there are 5 numbers listed. You can obviously see the two small sides are 9. They are the same size. Then you have the three 9s on the top. This is important. So far we are at 75ft. The complication comes in at what is the unknown side. Well if you see the three 9s on top. Two are going horizontal along with the 30. So 9+9 is 18. 30-18 is 12. So that side is 12. Answer is 87.

Hope this helps

Answer:

$1.720.34

Step-by-step explanation:

to do this problem we can use the exponential growth formula A=p(1+r)^t

substituting our values we get

A = 1,557.00(1+0.02)^5

after solving the equation for A we get that

A after 5 years will be $1,720.34

Answer:

CA ≈ 3.1 ft

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan40° = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{CA}\) = \(\frac{2.6}{CA}\) ( multiply both sides by CA )

CA × tan40° = 2.6 ( divide both sides by tan40° )

CA = \(\frac{2.6}{tan40}\) ≈ 3.1 ft ( to the nearest tenth )

Answer:

i think the answer is D. there are no solutions

Answer:

A. x ≤ -3 or x > 7

Step-by-step explanation:

Solve the first equation.

-6x + 14 < -28

Subtract 14 from both sides.

-6x < -42

Divide both sides by -6. REMEMBER: when dividing an inequality by a negative number, flip the sign.

x > 7.

Solve the second equation.

9x + 15 ≤ -12

Subtract 15 from both sides.

9x ≤ -27

Divide both sides by 9.

x ≤ -3.

Your answer is A.