The lines AB and CD are perpendicular to each other. If the slope of line AB is 2/3 then what is the slope of line CD​

Answer:

Domain is: 0 ≤ n ≤ 75 where n is an integer

Step-by-step explanation:

Answer:

4 IS THE ANSWER MATE

Step-by-step explanation:

Absolutely, I can do that!

Let's take a look at each statement:

1) f(x) has a y-intercept at (0,2)

To find the y-intercept, we need to set x to 0 and solve for y. Plugging in x = 0 into the equation for f(x), we get:

f(0) = -log(0+4) + 2

f(0) = -log(4) + 2

f(0) = -0.602 + 2

f(0) = 1.398

Since the y-coordinate of the y-intercept is 1.398, not 2, this statement is false.

2) The function -f(x) has a y-intercept at (0,2)

Since the negative sign in front of f(x) reflects the graph of f(x) across the x-axis, we can determine the y-intercept of -f(x) by taking the opposite of the y-intercept of f(x). Since the y-intercept of f(x) is not 2, this statement is also false.

3) As x approaches positive infinity, the function f(x) approaches negative infinity.

The function f(x) is a logarithmic function with a negative coefficient, which means it approaches negative infinity as x approaches positive infinity. Therefore, this statement is true.

4) As x approaches -4 from the right, the function f(x) approaches negative infinity.

As x approaches -4 from the right, the value of f(x) becomes more and more negative without bound, which means that f(x) approaches negative infinity as x approaches -4 from the right. Therefore, this statement is also true.

In summary, statements (1) and (2) are false, while statements (3) and (4) are true.

You have a total of 288 different combinations of shirts, suits, and ties in your closet.

In your closet, you have 4 blue shirts, 3 plaid shirts, and 2 striped shirts. You have 1 blue suit, 2 black suits, and 1 brown suit. You also have 2 blue ties, 3 red ties, and 3 pink ties. To find the total number of different combinations, you need to multiply the number of choices for each category.

Number of shirt combinations = 4 (blue shirts) + 3 (plaid shirts) + 2 (striped shirts) = 9
Number of suit combinations = 1 (blue suit) + 2 (black suits) + 1 (brown suit) = 4
Number of tie combinations = 2 (blue ties) + 3 (red ties) + 3 (pink ties) = 8

Total combinations = Number of shirt combinations x Number of suit combinations x Number of tie combinations = 9 x 4 x 8 = 288

Therefore, you have a total of 288 different combinations of shirts, suits, and ties in your closet.

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complete question:

You are starting your new job and have to wear a dress shirt, suit, and tie every day. In your closet, you have 4 blue shirts, 3 plaid shirts, and 2 striped shirts. You have 1 blue suit, 2 black suits, and 1 brown suit.

You also have 2 blue ties, 3 red ties, and 3 pink ties. How many different combinations of shirts, suits, and ties do you have in your closet?

You have 288 different combinations of shirts, suits, and ties in your closet.

To find the number of different combinations of shirts, suits, and ties in your closet, we can multiply the number of options for each item.

First, let's consider the shirts. You have 4 blue shirts, 3 plaid shirts, and 2 striped shirts. To calculate the number of combinations of shirts, we add up the number of options for each type:

4 blue shirts + 3 plaid shirts + 2 striped shirts = 9 total options for shirts.

Next, let's look at the suits. You have 1 blue suit, 2 black suits, and 1 brown suit. Again, we add up the number of options for each type:

1 blue suit + 2 black suits + 1 brown suit = 4 total options for suits.

Lastly, we'll consider the ties. You have 2 blue ties, 3 red ties, and 3 pink ties.

Adding up the options for each type gives us:

2 blue ties + 3 red ties + 3 pink ties = 8 total options for ties.

To find the total number of combinations, we multiply the number of options for each item:

9 options for shirts x 4 options for suits x 8 options for ties = 288 different combinations.

Therefore, you have 288 different combinations of shirts, suits, and ties in your closet.

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Not sure about 1 and 4, since there's also a y variable, but:

2) x=2

3) x=4

5) x=7

When we plug these values into the given equation, we get undefined values, such as something divided by 0.

if we use 2 as an example, we have (x³/x²-4)

If we replace 2, we get (2³/2²-4)

Which simplifies to 8/4-4

=8/0

There are 64 degrees of freedom for the test for independence in this contingency table.

To find the degrees of freedom for a test for independence in a contingency table, you can use the following formula:
Degrees of freedom (df) = (number of rows - 1) * (number of columns - 1).
In your case, the contingency table has nine rows and nine columns. Using the formula:
df = (9 - 1) * (9 - 1)
df = 8 * 8
df = 64.

In a contingency table, the degrees of freedom (df) for the test of independence are calculated as:

df = (number of rows - 1) x (number of columns - 1)

In this case, the contingency table has nine rows and nine columns, so the degrees of freedom are:

df = (9-1) x (9-1) = 64

This means that there are 64 degrees of freedom for the test of independence.

Degrees of freedom are important because they determine the critical values for the test statistic, which in turn affects the decision to reject or fail to reject the null hypothesis.

In general, as the degrees of freedom increase, the critical values decrease, making it easier to reject the null hypothesis.

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There are 64 degrees of freedom for the test for independence in a contingency table with nine rows and columns.

To determine the degrees of freedom for the test for independence in a contingency table with nine rows and columns, we use the formula df = (r-1)(c-1), where r is the number of rows and c is the number of columns.

Substituting in the values, we get:df = (9-1)(9-1)df = 8 x 8df = 64A contingency table is a table that shows the frequency distribution of two or more categorical variables.

A test for independence is a statistical test that checks whether the variables are related or not.

Therefore, there are 64 degrees of freedom for the test for independence in a contingency table with nine rows and columns.

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Answer:

-115

Step-by-step explanation:

Using BODMAS

+(-9) = -9

2(-9) = -18

5(-18) = -90

(-90) + (-25) = -90 - 25 =  -115

Answer:

6

0

2

Step-by-step explanation:

I assume we are taking the y-value and dividing it by x, as indicated by the y/x

-6/-1

6

0/1

0

6/3

2

Answer:

f(x) = a·(x + 1)·(x - 3)

f(2) = a·(2 + 1)·(2 - 3) = a·3·(-1) = -3·a = -6 --> a = 2

f(x) = 2·(x + 1)·(x - 3)

f(x) = 2·(x^2 - 3·x + x - 3)

f(x) = 2·(x^2 - 2·x - 3)

f(x) = 2·x^2 - 4·x - 6

Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

Answer:

1050 feet per hour.

Step-by-step explanation:

Going down, the speed was r = d/t

r = the speed.

d = distance which is 2100 feet

t = 2 hours.

r = 2100 / 2

r = 1050 feet per hour.

The parameterization of the ellipse in a counterclockwise manner is x = 3cos(t) y = 2sin(t) where t varies from 0 to 2π.

One common way to parameterize an ellipse is to use trigonometric functions such as sine and cosine. We can write the equation of the ellipse as:

4x² + 9y² = 36

We can then use the following parameterization:

x = 3cos(t) y = 2sin(t)

where t is the parameter that varies between 0 and 2π, traversing the ellipse once in a counterclockwise manner.

To see why this parameterization works, let's substitute x and y into the equation of the ellipse:

4(3cos(t))² + 9(2sin(t))² = 36

Simplifying this equation gives:

36cos²(t) + 36sin²(t) = 36

Which is true for any value of t. This shows that our parameterization does indeed describe the ellipse 4x² + 9y² = 36.

Furthermore, we can see that when t=0, we get x=3 and y=0, which is the starting point (3,0). As t varies from 0 to 2π, x and y will trace out the ellipse exactly once in a counterclockwise manner.

Therefore, the parameterization of the ellipse 4x² + 9y² = 36 that begins at the point (3,0) and traverses once in a counterclockwise manner is:

x = 3cos(t) y = 2sin(t)

where t varies from 0 to 2π.

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The remaining angle of the right triangle is 40°, and the remaining side b is approximately 2.35 (to two significant digits).

Given a right triangle with angles A = 50°, C = 90°, and side a = 3.10, we can find the remaining angle and side using trigonometric ratios.

First, let's find angle B:

Angle B = 180° - angle A - angle C

Angle B = 180° - 50° - 90°

Angle B = 40°

Now, let's find side b using the sine function:

sin(B) = b / a

sin(40°) = b / 3.10

b = 3.10 * sin(40°)

b ≈ 2.35

So, the remaining angle in the right triangle is 40°, and the remaining side b is approximately 2.35 (to two significant digits).

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systematic sampling

The sampling method being used in the given scenario is a systematic sampling method.What is screening?Screening is defined as the procedure for identifying and diagnosing certain medical conditions. Screening tests may be medical examinations or diagnostic procedures that are performed on people who do not have any symptoms, but who may be at risk of developing certain illnesses or diseases. The objective of screening is to detect the condition at an early stage so that treatment can be initiated, reducing morbidity and mortality. The following terms are used to define different sampling methods:Census Stratified Systematic Simple Random ClusterSystematic Sampling Method:Systematic sampling is a statistical method for selecting samples from a population. It is used when the population is too large to be surveyed in its entirety, and a representative sample must be chosen. The systematic sampling technique involves selecting every nth individual in the population to form a sample, where n is a predetermined number. For example, every 10th person, every 100th person, and so on may be selected as a sample member. In this way, the sample is chosen in a systematic manner. Therefore, in the given scenario, the screening method being used is a systematic sampling method.

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Answer:

3 over 8 or 3/8  because, yes

Just trust :)

2022 / 2023

Explanation

To graph, or plot, points we use two perpendicular lines called the x-axis and the y-axes. The horizontal number line is the x-axis and the vertical line is the y- axis

so, a coordinate has this form

where x indicantes the position ( horizonta) and y the vertical position, so

the point (x,y)

hence

Step 1

the, plot the points

Step 2

B)(2, -1.5)

I hope this helps you

The Volume of the Pyramid=19.19in³

Surface Area of  the Pyramid=48.65in²

Volume is a unit of measurement for the area occupied in three dimensions. It is widely quantified and measured using SI-derived units, alternative imperial units, or US standard units (such as the gallon, quart, cubic inch). Volume and length (cubed) have a similar meaning.

First, volume was calculated using naturally occurring vessels with a similar shape, and then using standardized containers. Calculating the volume of numerous common three-dimensional forms is made simple by arithmetic formulas. The volumes of increasingly complicated shapes can be calculated using integral calculus.

Given that,

Height of the pyramid =4.7

Pyramid's slant height= 5.2

Base of pyramid is a square with side=3.5

Volume of the pyramid=(1/3)(3.5×3.5)×(4.7)

=19.19 in³

The surface area of a pyramid=((1/2)×(4×3.5)×5.2)+(3.5×3.5)

=18.65in²

Therefore, the volume of the pyramid=19.19 in³

And the surface area of the pyramid=18.65in²

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The standard deviation in the first sample was $20,00 and the standard deviation in the second sample is $18,000 so the agent's claim cannot be rejected at the 0.05 level of significance.

To test the agent's claim, we can perform a two-sample t-test with a significance level of 0.05. The null hypothesis is that there is no difference in the mean salaries of safeties and linebackers, while the alternative hypothesis is that there is a difference.

We can calculate the t-statistic using the formula:

t = (x1 - x2) / sqrt(s1²/n1 + s2²/n2)

where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.

Plugging in the given values, we get:

t = (501580 - 513360) / sqrt((20000²/15) + (18000²/15))

t = -1.2605

Using a t-distribution table with 28 degrees of freedom (15 + 15 - 2), we find that the critical value for a two-tailed test at a significance level of 0.05 is approximately ±2.048.

Since the absolute value of the calculated t-statistic (1.2605) is less than the critical value (2.048), we fail to reject the null hypothesis. Therefore, there is not enough evidence to conclude that there is a difference in the mean salaries of safeties and linebackers in the NFL.

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Answer:

a. If a polygon is a rectangle, then it is a square

False

b. If a polygon has four 90 degree angles, then it is a rectangle

True

c. If the formula for a shape's area is base time height, it is a rectangle

False

Answer:

A . m = 11/6

its going to be a

The solution to the given initial value problem, obtained using Laplace transforms, is y(x) = 0. This means that the function y(x) is identically zero for all values of x.

To find the solution of the initial value problem using Laplace transforms for the equation d²y/dx² + 9y = 9sin(t)u(t - 3), where y(0) = y'(0) = 0, we can follow these steps:

Take the Laplace transform of the given differential equation.

Applying the Laplace transform to the equation d²y/dx² + 9y = 9sin(t)u(t - 3), we get:

s²Y(s) - sy(0) - y'(0) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))

Since y(0) = 0 and y'(0) = 0, the Laplace transform simplifies to:

s²Y(s) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))

Solve for Y(s).

Combining like terms, we have:

Y(s) * (s² + 9) = 9 * (1/s² + 1/(s² + 1))

Multiply through by (s² + 1)(s² + 9) to get rid of the denominators:

Y(s) * (s⁴ + 10s² + 9) = 9 * (s² + 1)

Simplifying further, we have:

Y(s) * (s⁴ + 10s² + 9) = 9s² + 9

Divide both sides by (s⁴ + 10s² + 9) to solve for Y(s):

Y(s) = (9s² + 9)/(s⁴ + 10s² + 9)

Partial fraction decomposition.

To proceed, we need to decompose the right side of the equation using partial fraction decomposition:

Y(s) = (9s² + 9)/(s⁴ + 10s² + 9) = A/(s² + 1) + B/(s² + 9)

Multiplying through by (s⁴ + 10s² + 9), we have:

9s² + 9 = A(s² + 9) + B(s² + 1)

Equating the coefficients of like powers of s, we get:

9 = 9A + B

0 = A + B

Solving these equations, we find:

A = 0

B = 0

Therefore, the decomposition becomes:

Y(s) = 0/(s² + 1) + 0/(s² + 9)

Inverse Laplace transform.

Taking the inverse Laplace transform of the decomposed terms, we find:

L^(-1){Y(s)} = L^(-1){0/(s² + 1)} + L^(-1){0/(s² + 9)}

The inverse Laplace transform of 0/(s² + 1) is 0.

The inverse Laplace transform of 0/(s² + 9) is 0.

Combining these terms, we have:

Y(x) = 0 + 0

Therefore, the solution to the initial value problem is:

y(x) = 0

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In the given triangle of attached figure , the required value of x and y is given by option d. x=24.0,y=46.4 ( nearest tenth ).

Let us consider triangle name of the attached figure be ABC,

From vertex A perpendicular line intersect BC at point D.

From the attached figure,

Measure of ∠B = 45°

Measure of ∠C = 30°

Side length AC = 34 units

Side length AB = x units

Side length BC = y units

In triangle ADC,

sin C = AD / AC

Substitute the value we have,

⇒ sin 30° = AD / 34

⇒ AD = ( 1/2 )× 34

⇒ AD = 17

And cos C = CD / AC

Substitute the value we have,

⇒ cos 30° = CD / 34

⇒CD = 34 × cos 30°

⇒ CD = 34 × (√3 /2 )

⇒ CD = 29.45 units

In triangle ADB,

sin B = AD/ AB

⇒ sin 45° = 17 / x

⇒ x = 17 / sin 45°

⇒ x = 17 / ( 1/√2)

⇒ x = 17√2

⇒ x= 24.038 units

⇒ x= 24.0 units ( nearest tenth )

Now in triangle ABD,

cos B = BD/ AB

⇒ cos 45° = BD / 24.0

⇒ BD = 24 × cos 45°

⇒ BD = 24× (1/√2)

⇒ BD = 16.97units

y = BD + CD

 = 16.97 + 29.45

 = 46.42

  = 46.4 units ( nearest tenth )

Therefore , the value of x and y from the attached figure is equal to option d. x=24.0,y=46.4.

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The above question is incomplete, the complete question is:

Find the value of x and y to the nearest tenth.

a. x=48.1,y=46.4

b. x=48.1,y=139.3

c. x=24.0,y=139.3

d. x=24.0,y=46.4

Figure is attached.

I just answered something very similar to this haha, but the sum of all exterior angles, regardless of the polygon's sides is always equal to 360 degrees, so our sum is 360°

Answer:

174.6

Step-by-step explanation:

88 kg = 194.007 - 10%

194 * 10% = 194 - 19.4 = 174.6

The length of the fence must be 282.84 ft.

Area of the field =  40,000 ft²,

The length of the fence will be equal to the diagonal of the square.

For a square of side length S, the area is:

A = S²

Substituting the values in the formula -

S² = 40,000 ft

Applying the square root on both sides -

S = √(40,000 ft²)

Calculating, the diagonal of a square of side length S is:

D = S x√2,

Substituting the values -

D = √(40,000 ft²) x √2

= √(80,000 ft²)

= 282.84 ft

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Answer:

An equation of the line with the given information with

m = 4 and point A(-1, -5) is:

Step-by-step explanation:

As the equation of a line in point-slope form is given by:

\(y-y_1=m\left(y-x_1\right)\)

where m is the slope.

Given:

Substituting the values in the equation of a line in point-slope form

\(y-y_1=m\left(x-x_1\right)\)

\(y\:-\:\left(-5\right)\:=\:4\:\left(x\:-\:\left(-1\right)\right)\)

\(y+5=4\left(x+1\right)\)

subtract 5 from both the sides

\(y+5-5=4\left(x+1\right)-5\)

\(y=4x-1\)

Therefore, an equation of the line with the given information

with m = 4 and point A(-1, -5) is:

The factor of the quadratic equation n² + n = 56 is (n + 8)(n - 7). Then the value of the n is 7 and negative 8.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The quadratic equation will be given below.

n² + n = 56

The equation can be written as

n² + n - 56 = 0

On factorization, we have

        n² + n - 56 = 0

n² + 8n - 7n - 56 = 0

      (n + 8)(n - 7) = 0

                       n = 7, -8

The value of the n is 7 and negative 8.

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Answer:

Figure 7 has 56 blocks.

Step-by-step explanation: