What’s the distance between (2,-3) and (4,-3)

Answer: Video game club has 37 members and the Pokémon club has 27 members

Step-by-step explanation:

The complete factorization of the polynomial x³ + 2x² -x - 2 is equal to (x + 2)(x + 1)(x - 1)

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

A polynomial is an expression consisting of coefficients and variables forming an equation.

Given the polynomial:

x³ + 2x² -x - 2

Factorizing:

= (x + 2)(x² - 1)

= (x + 2)(x + 1)(x - 1)

The polynomial x³ + 2x² -x - 2 is equal to (x + 2)(x + 1)(x - 1)

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Answer:

m<a=56

m<b=34

m<c=56

Step-by-step explanation:

The rectangle is cut into two triangles. The total of a triangles angles is 180 degrees. The triangles are right triangles which means that the right angle is 90 degrees.

You already have an angle that measures 34 degrees.

Alternate interior angles are congruent. So, the given angle is equal to m<b.

Now add 90+34=124

To get the alternate interior angles (m<a and m<c) subtract 124 from 180 which equals 56 degrees.

Answer:m

Step-by-step explanation:

There is only one different square root of A.(a) To find the square roots of matrix A = [2 2; 2 2]: Let's consider two matrices B1 and B2: B1 = [1 1; 1 1]; B2 = [-1 -1; -1 -1].

Now, let's check if BB = A for each matrix: B1B1 = [1 1; 1 1] * [1 1; 1 1] = [2 2; 2 2] = A; B2B2 = [-1 -1; -1 -1] * [-1 -1; -1 -1] = [2 2; 2 2] = A. Both B1 and B2 satisfy BB = A, so they are two possible square roots of matrix A. (b) For matrix A = [5 0; 0 9], let's consider a matrix B: B = [√5 0; 0 √9] = [√5 0; 0 3] .We can see that BB = [√5 0; 0 3] * [√5 0; 0 3] = [5 0; 0 9] = A.

Thus, there is only one different square root of A. (c) Not every 2x2 matrix has a square root. For a square root of a matrix to exist, the matrix must be positive definite or positive semidefinite. If the eigenvalues of the matrix are negative or complex, there won't be any real square root. Additionally, if the matrix has zero eigenvalues with multiplicities greater than one, it may not have a unique square root. Therefore, the existence of a square root for a 2x2 matrix depends on its eigenvalues and their properties.

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Setting the widths of divs within a div to equal 90% of the page allows each div to take up 90% of its parent div's width, while setting just one div to be 90% of the page causes that div to take up 90% of the width of the entire webpage.

The difference between setting the widths of the divs that are within a div to equal 90% of the page and setting just one div to be 90% of the page is the way the divs will be displayed on the webpage.

When you set the widths of the divs that are within a div to equal 90% of the page, each individual div will take up 90% of the width of its parent div. This means that if you have multiple divs within the parent div, they will each take up 90% of the available space, but will still be contained within the boundaries of the parent div.

On the other hand, when you set just one div to be 90% of the page, that div will take up 90% of the width of the entire webpage, not just its parent div. This means that the div will expand to take up most of the available space, potentially pushing other elements on the webpage to the side.

In summary, setting the widths of divs within a div to equal 90% of the page allows each div to take up 90% of its parent div's width, while setting just one div to be 90% of the page causes that div to take up 90% of the width of the entire webpage.

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Answer:

34 = 35

Step-by-step explanation:

34x35

Answer:

Martina can walk 1 1/4 miles in one hour.

Step-by-step explanation:

Find the reciprocal of 3/5 (by flipping the fraction)

5/3

Multiply 5/3 by 3/4

3/4(5/3)= 15/12= 1 1/4

Answer:

I think it's A

Step-by-step explanation:

the line is going up and the more it goes up it looks like it will be 2.5

Answer:

2e+15

Step-by-step explanation:

I believe the answer is 2e+15. Unless my math is wrong, this is the answer.

The most likely explanation for something being in the middle of a frozen ocean is that it is located on an ice floe or iceberg.

These large pieces of floating ice can break off from glaciers or polar ice caps and drift into the ocean. It is important to note that while the ocean may be frozen,

it is still an active and dynamic environment that can pose dangers and challenges for any structures or vehicles that are located there.

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Answer:

-4 , 3,3-9,12

Step-by-step explanation:

Answer:

-4 , 3,3-9,12

Step-by-step explanation:

im the goat

Answer:

$111.97

Step-by-step explanation:

Answer:4 × 109

+ 3 × 108

+ 6 × 107

+ 5 × 106

+ 4 × 105

+ 2 × 104

+ 1 × 103

+ 0 × 102

+ 0 × 101

+ 6 × 100

Step-by-step explanation:

Answer:

Ok!

Step-by-step explanation:

if you need help with "expanded form" you can always go to calculatorsoup

Answer:

A. \(UPC = 0-03700-80049-9\)

Step-by-step explanation:

Given

\(ID = 037000\)

\(Item\ Number = 80049\)

Required

The valid UPC

First, the UPC is represented as:

UPC = ID followed by item number followed by the checksum

So, we have:

\(upc = 0-03700-80049-X\)

To calculate X (the checksum)

Add up digits at odd positions

\(Odd = (0 + 7 + 0) + (8 + 0 + 9)\)

\(Odd = 24\\\)

Multiply by 3

\(Product = Odd * 3\)

\(Product = 24 * 3\)

\(Product = 72\)

Add up digits at even positions

\(Even = (3 + 0 + 0) + (0 + 4)\)

\(Even = 7\)

Add the product and the sum of even

\(Result = Product + Even\)

\(Result = 72+7\)

\(Result = 79\\\)

The last digit of the UPC is 9.

Hence, the UPC is:

\(UPC = 0-03700-80049-9\)

Answer:

d. No because n·(1 - \(\hat p\)) = 8.96 is less than 10

Step-by-step explanation:

Question options;

a. Yes because the sample sizes of both groups are greater than 5

b. Yes, because in both cases n·\(\hat p\) > 10

c. Yes, because we know that the population is evenly distributed

d. No, because the n·(1 - \(\hat p\)) is less than 10

Explanation;

The given data are;

The number of men in the sample of men, n₁ = 41

The proportion of men who dislike anchovies, \(\hat p_1\) = 0.67

The number of women in the sample of women, n₂ = 56

The proportion of men who dislike anchovies, \(\hat p_2\) = 0.84

The assumptions for an analysis of the difference between means using a T-test are;

1) The data should be from a random sample of the population

2) The variables should be approximately normal (n·\(\hat p\) ≥ 10, and n·(1 - \(\hat p\)) ≥ 10)

3) The scale of the data is a continuous ordinance scale

4) The sample size should be large

5) The sample standard deviations should be approximately equal

From the requirement for normality, we have;

For the sample of men, n₁·\(\hat p\)₁  = 41 × 0.67 = 24.47 > 10

n₁·(1 - \(\hat p\)₁) = 41 × (1 - 0.67) = 13.53 > 10

For the sample of women, n₂·\(\hat p\)₂  = 56 × 0.84 = 47.04 > 10

n₂·(1 - \(\hat p\)₂) = 56 × (1 - 0.84) = 8.96 < 10

Therefore, the for n₂·(1 - \(\hat p\)₂), the sample does not meet the requirement for normality

The correct option is d. No because n₂·(1 - \(\hat p\)₂) = 8.96 is less than 10

Answer:

Here are two data points that can be used to represent this relationship:

(x1, y1) = (8, $320) - this data point represents that when Susan works 8 hours, she gets paid $320.

(x2, y2) = (12, $440) - this data point represents that when Susan works 12 hours, she gets paid $440.

Step-by-step explanation:

In this situation, the independent variable is the number of hours that Susan works, and the dependent variable is the amount of money that she gets paid.

Here are two data points that can be used to represent this relationship:

(x1, y1) = (8, $320) - this data point represents that when Susan works 8 hours, she gets paid $320.

(x2, y2) = (12, $440) - this data point represents that when Susan works 12 hours, she gets paid $440.

We can use these two data points to represent the relationship between the number of hours that Susan works and the amount of money that she gets paid. It shows that, As her work hours increase, her pay increases as well.

The value of the midsegment(SR) of the Triangle KJI  is 7 .

The Mid Segment Theorem states that , the line segment joining the mid points , of the the other two sides of the triangle is parallel to and half the length of the third side .

In the question ,

it is given that

In triangle KJI , SR is the mid segment of the triangle KJI and IK is the base

So , by mid segment theorem ,

we get ( 2x - 5 ) = (1/2)(x + 8)

2*(2x-5) = x+8

4x - 10 = x + 8

3x = 10 + 8

3x = 18

x = 6

so , SR = 2x-5 = 2(6)-5 = 12-5 = 7

Therefore , The value of the midsegment(SR) of the Triangle KJI  is 7 .

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Answer: m = 4

hope thats right .

Step-by-step explanation:

Answer:

Let

Step-by-step explanation:

Let, (8,12) be (x1 and y1)

(10,20) be (x2 and y2)

We know that,

Slope = y2-y1

-----------.

x2-x1

= 20-12

-----------

10-8

= 8

-------

2

= 4 ans

so, the slope between twoo points is 4

Answer:

p = -9

Step-by-step explanation:

4p + 2 = 3p -7 subtract 3p to get p's on the same side

1p + 2 = -7 subtract 2 to get p alone

p = -9

Answer:

p = -9

Step-by-step explanation:

4p + 2 = 3p -7 subtract 3p to get p's on the same side

1p + 2 = -7 subtract 2 to get p alone

p = -9

Answer:

Opposite sides are parallel and congruent

opposite angles are also congruent

Step-by-step explanation:

To solve the initial value problem y'' - 2y' - 3y = 0, with y(0) = 1 and y'(0) = 2, we can use the method of Laplace transforms.

First, we take the Laplace transform of the given differential equation to obtain an algebraic equation in terms of the Laplace transform of the unknown function y(t). Then, we solve the algebraic equation for the Laplace transform of y(t) using standard algebraic techniques. Finally, we take the inverse Laplace transform to obtain the solution y(t) in the time domain.

Applying the Laplace transform to the given differential equation, we have s²Y(s) - sy(0) - y'(0) - 2(sY(s) - y(0)) - 3Y(s) = 0, where Y(s) represents the Laplace transform of y(t). Simplifying this equation, we get (s² - 2s - 3)Y(s) - (s - 2) = s²Y(s) - 3s - 4. Rearranging the equation, we have Y(s) = (s - 2) / (s² - 2s - 3).

To solve this equation for Y(s), we can decompose the expression into partial fractions, which yields Y(s) = 1 / (s - 3) - 1 / (s + 1). Taking the inverse Laplace transform of Y(s), we obtain y(t) = e^(3t) - e^(-t), which is the solution to the initial value problem.

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Answer:

D

Step-by-step explanation:

The function rule for each are:

f(x) = -2x - 6

g(x) = 5x - 4

f(x) is less than g(x), in terms of slope, while in terms of y-intercept, f(x) is greater than g(x).

The rule of a function can be written in slope intercept form as, f(x) = mx + b, where the slope is m and the y-intercept is the value of b.

To write the function rule for f(x), substitute m = -2 and b = -6 into f(x) = mx + b:

f(x) = -2x - 6

Find the slope of the function g(x) whose graph is given:

Slope of g(x) = rise/run = 5/1 = 5

m = 5

The y-intercept is at y = -4, therefore b = -4.

To write the function rule for g(x), substitute m = 5 and b = -4 into g(x) = mx + b:

g(x) = 5x - 4

In terms of slope, f(x) is less than g(x)

In terms of y-intercept, f(x) is greater than g(x).

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Answer:

D. the last one with dots on -3 and 3

Step-by-step explanation:

-2|x| = -6

divide each side by -2

|x| = 3

x = -3 or 3

The correct simplification would be \(18x^4 - 36x^3 + 9x^2\) (option a).

To simplify the expression \(9x^2(4x - 2x^2\) - 1), we need to perform the multiplication and combine like terms.

1. Start by distributing the 9x^2 to each term inside the parentheses:

  \(9x^2 * 4x = 36x^3 9x^2 * (-2x^2) = -18x^4 9x^2 * (-1) = -9x^2\)

2. Now we can combine the terms obtained from the distribution:

\(36x^3 - 18x^4 - 9x^2\)

3. Rearranging the terms in descending order of exponents:

\(-18x^4 + 36x^3 - 9x^2\)

4. However, we can simplify this expression further by factoring out a common factor of \(-9x^2\):

\(-9x^2(2x^2 - 4x + 1)\)

5. Thus, the final simplified expression is:

\(18x^4 - 36x^3 + 9x^2\)

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Answer:

Below

Step-by-step explanation:

Coterminal angles are angles with same terminal angles

Mathematically speaking these angles should have the same coordinates in a trigonomitrical circle

●●●●●●●●●●●●●●●●●●●●●●●●

Angles like 0° and 360° are coterminal since to we made a spin from 0° to 360°

For two angles A and B to be coterminal they should verify this relation :

A = B + k*360° with k an integer

So A-B = k*360°

●●●●●●●●●●●●●●●●●●●●●●●●

7) :

35° and 395°

395° -35° = 360°

360° is a multiple of 360° so these angles are coterminal

8) :

140° and 860°

860° - 140° = 720°

720° is a multiple of 360°

720 = 360° × 2

9) :

350° and -710°

350 -(-710) = 350+ 710 = 1060°

1060° isn't a multiple of 360°

So these angles aren't coterminal

10) :

130° and -230°

130 -(-230) = 130+230 = 360°

So these angles are coterminal

11) :

30° and -690°

30 -(-690) = 30+ 690 = 720°

720 is a multiple of 360 so these angles are coterminal

12) :

210° and 10°

210-10 = 200

200 isn't a multiple of 360 so these angles aren't coterminal

Answer:

The mean of the given numbers is 97.

Step-by-step explanation:

To find the mean, we add up all the numbers and divide the sum by the total count of numbers.

96 + 100 + 100 + 95 + 93 + 98 + 97 + 97 + 98 + 96 = 970

There are 10 numbers

Dividing the sum by the count (10)

970 / 10 = 97

The mean is the average of a set of numbers. To find the mean of these numbers, we add them up and divide by the total number of numbers:

\(\begin{aligned}\text{Mean}& = \dfrac{96+100+100+95+93+98+97+97+98+96}{10}\\& = \dfrac{970}{10}\\& = 97\end{aligned}\)

\(\therefore\) The mean is 97.

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

A quadratic inequality represented by the graph is y≥x²+2x+2.

The vertex from the given graph is (-1, 1) and the coordinate point is (1, 5).

A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line.

The general equation of a parabola is: y = a(x-h)² + k or x = a(y-k)² +h, where (h, k) denotes the vertex.

Substitute (x, y)=(1, 5) and (h, k)=(-1, 1) in y = a(x-h)² + k, we get

5=a(1+1)²+1

⇒ 4=4a

⇒ a=1

Substitute a=1 and (h, k)=(-1, 1) in y = a(x-h)² + k, we get

y=1(x+1)²+1

⇒ y=1(x²+2x+1)+1

⇒ y=x²+2x+2

⇒ y≥x²+2x+2

Therefore, a quadratic inequality represented by the graph is y≥x²+2x+2.

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Answer:

\(\frac{x+9}{x+3}\) , x ≠ - 3 ;

Step-by-step explanation:

f(x) = x³ + 9x² - 25x - 225 = (x + 9)(x + 5)(x - 5)

g(x) = x³ + 3x² - 25x - 75 = (x + 5)(x + 3)(x - 5)

( \(\frac{f}{g}\) )(x) = \(\frac{(x+9)(x+5)(x-5)}{(x +5)(x+3)(x-5)}\) = \(\frac{x+9}{x+3}\) , x ≠ - 3