Question 9 of 10
How many terms are in the algebraic expression 3x² + 4y - 1?
OA. 3
OB. 4
C. 5a

.✎let's answer it :3

question ⇩

✎ The area of a newspaper page (opened up) is about 640.98 square inches. Determine the length and width of the page if its length is about 1.25 times its width.

The area of a newspaper page (opened up) is about 640.98 square inches. Determine the length and width of the page if its length is about 1.25 times its width.The width of the page is ___ inches.

hope it helps

correct me if I am wrong

Answer: $2100

Step-by-step explanation:

Since 12.5 percent of 2400 is 300, Just subtract 300 from 2400 to get the selling price with no sales tax. And the final answer is $2100.

Answer:

y = √25 - x

y = -√25 - x

Step-by-step explanation:

x + y² = 25

-x                -x

----------------------

y² = -x + 25

√y² = √-x + 25

y = √25 - x

y = -√25 - x

I hope this helps!

46

Step-by-step explanation:

Answer:

I hope this helps!

Answer:

Step-by-step explanation:

17.98 don't ask

Answer:

45

Step-by-step explanation:

1. 3.4 + 6.6 can be simplified to 3 + 6 and 0.4 + 0.6

2. 3 + 6 = 9

3. 0.4 + 0.6 = 1

4. 9 + 1 = 10  (3.4 + 6.6 = 10)

1. 1.8 + 2.7 can use the same thing

2. 1 + 2 = 3

3. 0.8 + 0.7 = 1.5

4. 3 + 1.5 = 4.5 (1.8 + 2.7 = 4.5)

End: 10 x 4.5 = 45!

Hope this helped!

On solving the provided question, we cans ay that P(A∩B) \(\neq\) P(A)P(B), A, b are not independent sets.

A collection of several objects is represented mathematically as a set. Any form of mathematical object can be one of the elements or terms in a set such as variables, other values, points in space, lines, other geometric forms, and symbols. In mathematics, a set is a logically arranged group of things that may be represented by a list or set builder. Curly brackets are typically used to denote sets. An illustration of a set is A = 1, 2, 3, 4. Among the various types of sets are empty sets, finite sets, equivalence sets, equivalence subsets, universal sets, supersets, and infinite sets.

P(A∩B) \(\neq\) P(A)P(B)

A, b are not independent sets

To know more about sets visit:

https://brainly.com/question/8053622

#SPJ4

Answer:

7 each

Step-by-step explanation:

-21a + 35

7(-3a) + 7(5)

Answer:

6400π

Step-by-step explanation:

Because we know the circumference and we need to know the radius, we can divide 2π out of 16π, leaving us with a radius of 8.
The area of a circle can be calculated with πr^2, so plugging in the radius we get an area of 64π.
Lastly, to calculate the volume of the tree we will simply multiply the area of the circle by the height of the tree: 64π*100, leaving us with an answer of 6400π.

Answer:

6400π

Step-by-step explanation:

Answer:

937.82 i think

Step-by-step explanation:

The number of ways can joey select 1 that will run on his operating system and 1 that will not = 42ways

Given that,

Joey finds video games that he would like to have = 13

Will run on his operating system = 7

Will not run on his operating system = 6

Number of ways can joey select 1 that will run on his operating system and 1 that will not,

So,

We can write,

Joey Will run on his operating system = 7 = \(7C_{1}\)

Joey Will not run on his operating system = 6 = \(6C_{1}\)

Then,

\(nC_{k}\) = n ! / k !(n-k) !

\(7C_{1}\) = 7 ! / 1  ! ( 7-1) !

\(7C_{1}\) = 7 ! / 1 ! 6 !

\(7C_{1}\) = \(\frac{1*2*3*4*5*6*7}{1*2*3*4*5*6}\)

\(7C_{1}\) = 7

Then also,

\(6C_{1}\) = 6

So,

7 * 6 = 42

Therefore,

The number of ways can joey select 1 that will run on his operating system and 1 that will not = 42ways

To learn more about Probability visit :

brainly.com/question/29381779

#SPJ4

series: 125, 25, 5, ...

We can identify geometric series by:

√first term x third term = second term

√125 x 5 = 25

Hence this is a geometric series.

Common difference:

25 ÷ 5      or     125 ÷ 25

5                            5

The common difference is equal to 5.

Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

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

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).

Answer: C

Step-by-step explanation:

The solution is Option A.

The value of the equation is 6x³ - 12x² - 48x is A = 6x ( x + 2 ) ( x - 4 )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 6x³ - 12x² - 48x   be equation (1)

On simplifying the equation , we get

Taking 6x as the common factor , we get

A = 6x ( x² - 2x - 8 )

On simplifying the equation , we get

A = 6x ( x + 2 ) ( x - 4 )

Therefore , the value of A is 6x ( x + 2 ) ( x - 4 )

Hence , the equation is 6x ( x + 2 ) ( x - 4 )

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

The distance between points A and B is 5 units.

Remember that the distance between two points (a, b) and (c, d) is:

distance = √( (a - c)² + (b - d)²)

In this case the two points are A(7, -4) and B (4, -8), replacing these values in the distance equation we get:

distance = √( (7 - 4)² + (-4 + 8)²) = √(9 + 16) = 5

The distance between the two points is 5 units.

Learn more about distance between points:

https://brainly.com/question/7243416

#SPJ1

Answer: Because it's winter therefore he can't enjoy the gift. or he can't walk

Step-by-step explanation:

The matrix can be diagonalized, and the correct choice is B. For P= ⎡⎣​3−110​11​⎤⎦, D= ⎡⎣​393​000​⎤⎦.

To diagonalize a matrix, we need to find its eigenvectors and use them to construct a matrix P, where the columns of P are the eigenvectors. The diagonal matrix D is formed by placing the eigenvalues on the diagonal.

First, we find the eigenvalues λ by solving the characteristic equation det(A - λI) = 0, where A is the given matrix and I is the identity matrix. By calculating the determinant, we have (33 - λ)(9 - λ) - (-3)(18) = 0, which simplifies to λ^2 - 42λ + 315 = 0. Solving this quadratic equation gives λ = 3 and λ = 9.

Next, we find the corresponding eigenvectors. For λ = 3, we solve the equation (A - 3I)v = 0, where v is the eigenvector. This leads to the eigenvector v = ⎡⎣​3−110​⎤⎦. For λ = 9, we solve (A - 9I)v = 0, which gives v = ⎡⎣​11​1​⎤⎦.

We construct matrix P by using the eigenvectors as columns: P = ⎡⎣​3−110​11​⎤⎦. The diagonal matrix D is formed by placing the eigenvalues on the diagonal: D = ⎡⎣​393​000​⎤⎦.

Therefore, the correct choice is B. For P= ⎡⎣​3−110​11​⎤⎦, D= ⎡⎣​393​000​⎤⎦.

Learn more about diagonalization of matrices here: brainly.com/question/32422878

#SPJ11

The system of equations is:

2b + 4.25s = 53.75

b - s = 5  

The number of bagels bought is 12 and the number of sandwiches bought is 7.

2b + 4.25s = 53.75 equation 1

b - s = 5  equation 2

Where:

The elimination method would be used to determine the required values.

Multiply equation 2 by 2

2b - 2s = 10 equation 3

Subtract equation 3 from equation 1 :

6.25s = 43.75

Divide both sides of the equation by 2.25

s = 43.75 / 6.25

s = 7

Substitute for s in equation 1:

2b + 4.25(7) = 53.75

2b + 29.75 = 53.75

2b = 53.75 - 29.75

2b = 24

b = 24 / 2

b = 12

To learn more about system of equations, please check: https://brainly.com/question/25875552

#SPJ1

Answer:

m = - 2

Step-by-step explanation:

( \(x_{1}\) , \(y_{1}\) )

( \(x_{2}\) , \(y_{2}\) )

m = \(\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)

Answer:

90

Step-by-step explanation:

90/10= 9

90/5= 18

No number larger than 90 would work.

Without specific information about the data set, it is not possible to determine which equation is the best fit.

To determine the linear function equation that best fits the data set, we need more information about the data set itself. Without the data points or any other details, we cannot accurately determine which linear function equation is the best fit.

However, I can provide a general explanation of the four options:

y = -2x + 5: This is a linear equation with a negative slope of -2. It represents a line that decreases as x increases. The y-intercept is 5.

y = 2x + 5: This is a linear equation with a positive slope of 2. It represents a line that increases as x increases. The y-intercept is 5.

y = -1/2x + 5: This is a linear equation with a negative slope of -1/2. It represents a line that decreases at a slower rate as x increases. The y-intercept is 5.

y = 1/2x - 5: This is a linear equation with a positive slope of 1/2. It represents a line that increases at a slower rate as x increases. The y-intercept is -5.

Without specific information about the data set, it is not possible to determine which equation is the best fit. The best fit would depend on how well the equation aligns with the actual data points.

for such more question on data set

https://brainly.com/question/27358262

#SPJ8

Answer:

x>1

Step-by-step explanation:

20 < 5x +15

20 - 15 < 5x

5 < 5x

1< x

x>1

Answer:

(x+3)(x^2+2x-2)

Step-by-step explanation:

rewrote the expression

then factor out common numbers, variables, and exponents

Tukey's procedure to investigate significant differences between brands is x3. and x5.

x4. and x5.

To use Tukey's procedure to investigate significant differences between brands, we need to calculate the value of W and compare it with the critical value from the Studentized Range Distribution.

The formula for W is:

W = q(α, 5, 15) * √(MSE/4)

where q(α, 5, 15) is the critical value from the Studentized Range Distribution with α = 0.05, k = 5 (number of brands), and df = 15 (total degrees of freedom). Using a table or calculator, we find:

q(0.05, 5, 15) = 3.07

Plugging in the given values, we get:

W = 3.07 * √(450.8/4) ≈ 17.99

Since the computed value of F was found to be significant at level α = 0.05, we can conclude that there are significant differences between at least some of the brands. To determine which brands differ significantly from one another, we can use the formula:

|xi. - xj.| ≥ W / √(2MSE/4)

where xi. and xj. are the sample averages for any two brands i and j. If this inequality is satisfied, then we can say that the two brands differ significantly from one another.

Calculating the absolute differences between all pairs of sample averages and comparing them with the right-hand side of the inequality above, we get:

|462.0 - 502.8| = 40.8 ≥ 8.99 → Significant

|462.0 - 427.5| = 34.5 < 8.99 → Not significant

|462.0 - 469.3| = 7.3 < 8.99 → Not significant

|462.0 - 532.1| = 70.1 ≥ 8.99 → Significant

|502.8 - 427.5| = 75.3 ≥ 8.99 → Significant

|502.8 - 469.3| = 33.5 < 8.99 → Not significant

|502.8 - 532.1| = 29.3 < 8.99 → Not significant

|427.5 - 469.3| = 41.8 ≥ 8.99 → Significant

|427.5 - 532.1| = 104.6 ≥ 8.99 → Significant

|469.3 - 532.1| = 62.8 ≥ 8.99 → Significant

Using the critical value W, we can conclude that brands 1, 2, 4, and 5 differ significantly from one another. Therefore, the correct answer is:

x1. and x2.

x1. and x5.

x2. and x3.

x3. and x4.

x3. and x5.

x4. and x5.

To learn more about Calculating visit:

https://brainly.com/question/12633131

#SPJ11

Answer:

Step-by-step explanation:

As you can see from the attached picture below, the only figure that is equal to 5 whole units would be the final triangle. That is because it has 2 whole units in the middle, two half units in the top which equal 1 whole unit. And 2 units in each side corner which when combined would equal 2 whole units making it a total of 5. The rest of the shapes either hold more than 5 or less than 5 units. In the picture below, the top 3 shapes hold more than 5 units while the bottom two triangles hold less than 5.

The radical of the quotient is the product of the radicals of the numerator and denominator.

A product's radical equals the sum of the radicals of each factor, according to this statement. "The quotient of the radicals of the numerator and denominator is the radical of the quotient."

The power of the base serves as the numerator of the fractional exponent represented by a radical, while the radical's index serves as the denominator. A product's nth root is the sum of the nth roots of all its components. You must have the same indices.

We can rewrite radical expressions by applying the first factor of the expression that is under the root, creating perfect power, for instance, by using the exponentiation properties. Alternately, we may apply the property of products of powers, then evaluate after exponentiating. To simplify an equation, we can also use the Quotient of Powers Property.

To learn more about quotient rule refer to:

https://brainly.com/question/29142167

#SPJ4

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (2, 2) ← 2 ordered pairs from the table

m = \(\frac{2-1}{2-1}\) = \(\frac{1}{1}\) = 1

Hi!

We can use point-slope form to solve this.

\(y-y_{1} =m(x -x_{1})\)

\(y_{1}\) and \(x_{1}\) will be from one of the points.

First, we have to find \(m\), the slope. We can use the slope equation to get this.

\(\frac{y_{1} -y_{2} }{x_{1} -x_{2} }\)

Plug in your points:

\(\frac{4-0}{8-(-8)} =\frac{4-0}{8+8} =\frac{4}{16} =\frac{1}{4}\)

Your slope is \(\frac{1}{4}\)

Now plug points and slope into point-slope equation. We will use (8, 4).

\(y-4=\frac{1}{4} (x-8)\)

Now, if you want to get it into y = mx + b form, you have to solve for y:

\(y-4=\frac{1}{4} (x-8)\)

\(y-4=\frac{1}{4} x-2\)

\(y=\frac{1}{4} +2\)

Your equation is \(y=\frac{1}{4} +2\)

For more information on how to get the equation of a line when given two points, see here:

https://brainly.com/question/986503

Answer:

Graphing the derivative with the function can illustrate how to find these turning points. The function is increasing exactly where the derivative is positive, and decreasing exactly where the derivative is negative. On the graph of the derivative find the x-value of the zero to the left of the origin.