Let O , P , and Q be distinct collinear points with PQ=3 . Let P′ and Q′ be the images of points P and Q under dilation from point O with scale factor 4 .

What is the length of the image segment P′Q′ ?

Responses

1. 1

2. 7

3. 9

4. 12

The given signal, \(x(t) = 5cos(\omega t+\pi/3)+ 7cos(\omegat-5\pi/4)+3cos(\omega t)\), can be expressed in the form x(t)=Acos(ωt+ϕ), where A represents the amplitude and ϕ represents the phase.

To express the given signal x(t) in the form x(t)=Acos(ωt+ϕ), we need to combine the cosine terms and simplify the expression. Let's start by rewriting the given signal:

\(x(t) = 5cos(\omega t+\pi/3)+ 7cos(\omegat-5\pi/4)+3cos(\omega t)\)

Using the trigonometric identity cos(a+b)=cos(a)cos(b)−sin(a)sin(b), we can simplify the expression:

\(x(t) = 5cos(\omega t+\pi/3) - 5sin(\omega t)sin(\pi/3) + 7cos(\omegat-5\pi/4)-7sin(\omega t)sin(-5\pi/4)+3cos(\omega t)\)

Simplifying further:

\(x(t) = (5cos(\pi/3)+7cos(\omegat-5\pi/4)+3)cos(\omega t) - (5sin(\pi/3) +7sin(-5\pi/4))sin(\omega t))\)

We can rewrite the constants as

\(A=5cos(\pi/3)+7cos(-5\pi/4)+3\) and \(\theta= -arctan(\frac{5sin(\pi/3)+7sin(-5\pi/4)}{5cos(\pi/3)+7cos(-5\pi/4)+3})\)

Therefore, the given signal x(t) can be expressed in the form x(t)=Acos(ωt+ϕ), where A is the amplitude and ϕ is the phase.

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Answer:

Your answer is 12!

Step-by-step explanation:

The number of servings of oatmeal are there in the package are 12.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, a package contains 4 cups of oatmeal.

There is 1/3 cup of oatmeal in each serving.

Now, total number of servings = 4 ÷1/3

= 4×3

= 12

Therefore, the number of servings of oatmeal are there in the package are 12.

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Answer: C

Step-by-step explanation: Because I said soooaiahi

ANSWER

STEP-BY-STEP EXPLANATION

Given information

To graph the above function, we need to find the y-intercept and x-intercept

Step 1: Make y = 0 to find the x-intercept

Step 2: Make x= 0 to find y-intercept

Step 3: Graph the solution

Yes, if matrix A is symmetric positive definite, then \(B^T\) AB is also symmetric positive definite.  By properties of symmetric positive definite matrices and the properties of matrix transposition and multiplication.

A symmetric positive definite matrix is a square matrix that is symmetric (A = \(A^T\)) and has the property that for any non-zero vector x, \(x^T\) Ax > 0. Now, let's consider the matrix \(B^T\)AB, where B is any matrix.

First, let's address the symmetry of B^T AB. Taking the transpose of \(B^T\) AB, we get\((B^T AB)^T = B^T A^T (B^T)^T\)= \(B^T\)AB, which shows that \(B^T\) AB is symmetric.

Next, let's examine the positive definiteness of\(B^T\) AB. For any non-zero vector y, we have\(y^T (B^T AB) y = (B^T y)^T A (B^T y)\). Since A is symmetric positive definite, we know that \((B^T y)^T A (B^T y)\) > 0 for any non-zero vector \(B^T\)y. Thus, \(B^T\) AB is also positive definite.

In conclusion, if A is a symmetric positive definite matrix, then\(B^T\) AB is also symmetric positive definite, as it satisfies both the properties of symmetry and positive definiteness.

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Answer:

Step-by-step explanation:

1) find 8% of 420 = 33.6 ( assume you round this up as you have to have a whole number ! )

2) minus 34 ( rounded ) from 420 = 386

3) find 8% of 386 = 30.88 ( 31 )

4) 386 - 31 = 355

5) find 8% of 355 = 28.4 ( 28 )

6) 355 - 28 = 327

7) you get where im going - find 8% of the number of animals and minus it from the total number - keep doing this until you have done it 9 times

8) you should get the answer of 183

move all terms to the left side and set equals to zero. then set each factor equal to zero

If Arianna decides to sell the rental property in the future, the gain or loss will be calculated based on the $270,405 gain basis.

The gain basis for Arianna's converted personal residence to rental property can be calculated by determining the lower value between the adjusted basis and the fair market value.

In this case, the adjusted basis is $300,450 and the fair market value is $270,405.

The gain basis is the lower of the two values, which in this case is $270,405. This means that the gain basis for Arianna's rental property is $270,405.

The gain basis is important for tax purposes as it is used to calculate the taxable gain or loss when the property is eventually sold.

If the property is sold for a higher price than the gain basis, there will be a taxable gain.

On the other hand, if the property is sold for a lower price than the gain basis, there will be a deductible loss.

In Arianna's case, if she decides to sell the rental property in the future, the gain or loss will be calculated based on the $270,405 gain basis.

It is important to note that there may be additional factors and adjustments that could affect the final tax calculations, such as depreciation deductions and any improvements made to the property.

Consulting a tax professional would provide more accurate and detailed information regarding the tax implications of selling the rental property.

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Answer:

19 m x 5.5 m.

Step-by-step explanation:

The length of a rectangle is 7m more than double the width, and the area of the rectangle is 99m^2. What are the dimensions of the rectangles? The dimensions are 19 m x 5.5 m.

Answer:

Step-by-step explanation:

length= 2x+7

width = 2x

area= 99m²

area=L×W

2x(2x+7)= 99

4x²+14x-99=

solve the quadratic equation to find the value of x

and replace on the dimensions to find the exact measurements

The equation describing the relationship is:

y = 10 / (∛x)

The relationship between the variables y and x can be described by the following equation:

y = k / (∛x)

where k is a constant of proportionality.

To determine the value of k, we can use the given information when x = 125 and y = 2. Substituting these values into the equation:

2 = k / (∛125)

To simplify the equation, we can express the cube root of 125 (∛125) as 5, since 5³ = 125. Substituting this value:

2 = k / 5

To solve for k, we can multiply both sides of the equation by 5:

2  5 = k

k = 10

Therefore, the equation describing the relationship is:

y = 10 / (∛x)

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Answer:

exactly 8 hours to travel 3400 miles

what is the additive inverse of -1/8 ?

Answer:

the additive inverse of -1/ 8 is 1/ 8

Step-by-step explanation:

the additive inverse of a number means to change the number into its positive form

( whether it is positive or negative , it will always change to positive number

Answer:

$1290

Step-by-step explanation:

1250x3.2%=40

1250+40=1290

Step-by-step explanation:

100:1250

103.2:x

(103.2x1250)/100

=1290

he made additional $40

We need to write an inequality from statement "The amount of water is not exceed 300 liters".

We call x the litters of water, so the inequation is:

Answer:

0.6x - 0.6y.

Step-by-step explanation:

0.2 (3x - 3y)

= 0.2*3x - 0.2*3y

= 0.6x - 0.6y.

Answer:

I believe it should be 5.882%

Step-by-step explanation:

This is how i got tought to do it

85-80=5

5/85=0.05882

0.05882 times 100=5.882%

and that's your answer hope you get it right.

Step-by-step explanation:

15*8= 120

120/2= 60

60*13= 780

So its B.  

I can't answer all of these for you but I will give you insight on how to complete them on your own.

Item 2:

Calcuate the surface area for each side of the box.

5ft by 6ft by 7ft

There are two sides with 5 x 6, two with 5 x 7, and two with 6 x 7.

Calcuate the area of each side and add them up.

Then check which paint bucket is the right one.

Total Surface Area = Paint Can

Item 3:

Do the same exact thing as stated in item two. Find the surface area of each side and add them all together.

Item 4:

Do the same exact thing as stated in item two. Find the surface area of each side and add them all together.

Item 5:

Use this equation:

   1 * base * length * height

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

                     2

Then you will get your solution cubed.

Hope this helps :D

The formula of height h = (3v) / (π * r^2)To find the height (h) of a cone given the volume (v) and the radius of the base (r), we can rearrange the equation v = (π * r^2 * h) / 3.

By multiplying both sides by 3 and dividing by π * r^2, we isolate the variable h and obtain the formula h = (3v) / (π * r^2). Substituting the appropriate values for volume and radius into this equation allows us to calculate the height of the cone.

To solve for the height (h) in the equation v = (π * r^2 * h) / 3, we first multiply both sides by 3 to eliminate the fraction. This results in the equation 3v = π * r^2 * h. Next, we isolate the variable h by dividing both sides of the equation by π * r^2, giving us the formula h = (3v) / (π * r^2). By substituting the known values for volume (v) and radius (r) into this equation, we can calculate the height (h) of the cone. It is important to ensure that the units for volume and radius are consistent and compatible to obtain the correct result.

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Answer:

CD = x = 4 units

Step-by-step explanation:

Answer:

slope = 0.5

Step-by-step explanation:

\(slope=\frac{-5-1}{-6-6} =\frac{-6}{-12} =\frac{1}{2} =0.5\)

Hope this helps

The slope of the graph through points (6,1) and (-6,-5) is 0.5.

The slope formula can be expressed as:

\(Slope (m) = \frac{y_2 - y_1}{x_2 - x_1}\)

Given the coordinates of the points through which the graph passes through:

Point 1 ( 6,1 )

x₁ = 6

y₁ = 1

Point 2( -6,-5 )

x₂ = -6

y₂ = -5

Plug the coordinates into the slope formula and simplify.

\(Slope (m) = \frac{y_2 - y_1}{x_2 - x_1}\\\\Slope (m) = \frac{-5 - 1}{-6 - 6}\\\\Slope (m) = \frac{-6}{-12}\\\\Slope (m) = \frac{1}{2}\\\\Slope (m) = 0.5\)

Therefore, the slope of the line is 0.5.

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Answer:

The formula for the point biserial correlation coefficient is:

point biserial correlation formula

M1 = mean (for the entire test) of the group that received the positive binary variable (i.e. the “1”).

M0 = mean (for the entire test) of the group that received the negative binary variable (i.e. the “0”).

Sn = standard deviation for the entire test.

p = Proportion of cases in the “0” group.

q = Proportion of cases in the “1” group.

Most people won’t work this formula by hand as most statistical software packages can calculate the coefficient for you.

Answer: 7.07

Step-by-step explanation:

To find the distance, you need to use the distance formula.

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

\(d=\sqrt{(-3-4)^2+(5-4)^2}\)           [parenthesis]

\(d=\sqrt{(-7)^2+(1)^2}\)                       [exponent]

\(d=\sqrt{49+1}\)                                 [add]

\(d=\sqrt{50}\)

\(d=7.07\)

Now, we know the distance is 7.07.

Answer:

764

Step-by-step explanation:

12x22=264+500=764

hope this helps

a) If Kristin has traveled 4 meters along the path of the Ferris wheel then the angle has swept out 0.5 radians.

b) If Kristin has traveled 45 meters along the path of the Ferris wheel then the angle has swept out 5.625 radians.

c) The formula that expresses the number of radians θ the angle has swept out in terms of the number of meters is θ = s / r.

a. To determine the angle in radians, we can use the arc length formula for a circle. The formula is given by θ = s / r, where θ is the angle in radians, s is the arc length, and r is the radius of the circle.

In this case, Kristin has traveled 4 meters along the path of the Ferris wheel, and the radius is 8 meters.

Thus, the angle swept out is

θ = 4 / 8 = 0.5 radians.

b. Following the same approach, if Kristin has traveled 45 meters along the path of the Ferris wheel, the angle swept out is

θ = 45 / 8 ≈ 5.625 radians.

c. The formula that expresses the number of radians θ the angle has swept out in terms of the number of meters Kristin has traveled since the ride started is given by

θ = s / r,

where θ is the angle in radians, s is the arc length traveled by Kristin, and r is the radius of the Ferris wheel.

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Answer:

1 over 36

Step-by-step explanation:

Answer:

1 over 36 or A

Step-by-step explanation:

Trust me bro;)

Answer:

I found this. Will this help??

Step-by-step explanation:

In the given triangle RSQ and ΔRST it is given that

∠RTS ≅ ∠SRQ ≅ 90°

∠RSQ is common in two triangles Δ RSQ and Δ RST.

Therefore two angles are equal so both the triangles are common.

From this property we opposite sides of the corresponding angles will be in the same ratio.

SR/SQ = ST/SR

x/(9 + 16) = 9/x

By cross multiplication on each side of the equation

x² = 25×9 = 225

x = √225 = 15

Therefore measurement of x is 15 units.

The value of x from the given right triangle is 20 units. Therefore, option C is the correct answer.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

From the given right triangle, we have ST = 9, TQ = 16 and RQ = x

From similar triangles,

Δ SRQ ⩭ Δ STR ------(1) {∵ RT 丄 Hypotenuse SQ}

Δ SRQ ⩭ Δ RTQ ------(2) {∵ Δ SRQ, Δ STR and Δ RTQ are similar triangles}

⇒ SR/ST = SQ/SR = RQ/TR

⇒ SR/9 = 25/SR = x/TR

⇒ SR² = 25 × 9

⇒ SR = 5 × 3 = 15

SR² + RQ² = SQ²

RQ² = SQ² - SR²

RQ² = 25² - 15²

RQ = x = √(625 - 225)

= √400

x = 20 units

Therefore, option C is the correct answer.

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The Paired Samples t Test is commonly used to test the following: Statistical difference between two time points. Statistical difference between two conditions. Statistical difference between two measurements.

A paired samples t-test is used to compare the means of two samples when each observation in one sample can be paired with an observation in the other sample.

This test is also known as:

Dependent t Test

Paired t Test

Repeated Measures t Test

The variable used in this test is known as:

Dependent variable, or test variable (continuous), measured at two different times or for two related conditions or units

The Paired Samples t Test is commonly used to test the following:

To compare unpaired means between two independent groups on a continuous outcome that is normally distributed, choose the Independent Samples t Test.

To compare unpaired means between more than two groups on a continuous outcome that is normally distributed, choose ANOVA.

To compare paired means for continuous data that are not normally distributed, choose the nonparametric Wilcoxon Signed-Ranks Test.

To compare paired means for ranked data, choose the nonparametric Wilcoxon Signed-Ranks Test.

Hypotheses:

The hypotheses can be expressed in two different ways that express the same idea and are mathematically equivalent:

H0: µ1 = µ2 ("the paired population means are equal")

H1: µ1 ≠ µ2 ("the paired population means are not equal")

                                         OR

H0: µ1 - µ2 = 0 ("the difference between the paired population means is equal to 0")

H1: µ1 - µ2 ≠ 0 ("the difference between the paired population means is not 0")

where,

µ1 is the population mean of variable 1, and

µ2 is the population mean of variable 2.

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