What are the coordinates of each point after quadrilateral ABCD is rotated 270° about the origin? Drag numbers to complete the coordinates. Numbers may be used once, more than once, or not at all.

Ergonomists conduct a study to examine the effects of lifting speed and the amount of weight lifted on variables such as low back muscle tension, intraabdominal pressure, and vertical ground reaction forces. The independent variables are lifting speed and weight levels, while the dependent variables are low back muscle tension, intraabdominal pressure, and vertical ground reaction forces.

The study design involves testing three lifting speeds and three weight levels, resulting in nine lifting speed/weight combinations. Each subject performs nine lifts, with the lifting conditions ordered randomly. The statistical test used will depend on the specific research questions and the nature of the collected data.

In this study, the independent variables are lifting speed and weight levels. The researchers manipulate these variables to examine their effects on the dependent variables, which include low back muscle tension, intraabdominal pressure, and vertical ground reaction forces. The study design involves testing three different lifting speeds and three weight levels, resulting in a total of nine lifting speed/weight combinations. Each subject performs nine lifts, and the order of lifting conditions is randomized to minimize any potential order effects.

The choice of statistical test will depend on the research questions and the nature of the collected data. Possible statistical tests could include analysis of variance (ANOVA) to compare the effects of different lifting speeds and weight levels on the dependent variables. Post-hoc tests may also be conducted to determine specific differences between groups or conditions.

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Answer:

SOH CAH TOA

Step-by-step explanation:

Okay use the formula above where by for example SOH means sin°=opposite/hypotenuse

in number 18 opposite is =30

and hypotenuse=50

then your answer is=36.87

Answer:

Last option e : X=0

Step-by-step explanation:

X=0

Answer:

x = 0

Step-by-step explanation:

I got it correct on Odyssey.   : )

Answer:

What is the total number

Step-by-step explanation:

The approximate value of -12 + √32  is -6.3 to the nearest tenth.

An approximation is anything that is similar, but not exactly equal, to something else.

The given expression is  −12 + √32

The value of √32 is given as 5.656

Since,after decimal 6 to the right of 5 is greater than 5

To the nearest tenth, we can write as 5.7

∴ √32 = 5.7

For the required value of the expression we can write,

−12 + √32

Put the value of √32

Putting values in expression we have,

-12 + √32 = -12 + 5.7

Solving them

⇒ -12 + √32 = -6.3

Hence,the approximate value of -12 + √32  is -6.3 to the nearest tenth.

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Answer:

B

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

\(x^2-2x \\x=4\\(4)^2-2(4)\\16-8\\8\)

Answer:

x = 3

Question: Find the value of x.

Step-by-step explanation:

Given:

- Triangle R T S is sitting on a horizontal line

- Line S R extends through point Q to form exterior angle T R Q

- m∠RTS is (25 x)°, m∠TSR is (57 + x)° , m∠TRQ is (45 x)°

Lets find the value of x

∠TRQ is an exterior angle of Δ RTS at the vertex R

The opposite interior angles to vertex R are ∠RTS and ∠TSR

∴ m∠TRQ = m∠RTS + m∠TSR

m∠TRQ = (45 x)°

m∠RTS = (25 x)°

m∠TSR = (57 + x)°

Substitute these measures in the equation above

45 x = 25 x + 57 + x

45 x = 26 x + 57

19 x = 57

x = 3

The probability of seeing exactly 2 meteors during the observation period is approximately 0.1465.

The probability of seeing at least one meteor during the observation period is 1 - e^(-16).

The expected number of meteors during the observation period is 4.

The standard deviation of the number of meteors during the observation period is 2.

To find the requested information, we need to use the properties of a Poisson process. Let's calculate each value step by step:

a) The probability of seeing exactly 2 meteors during the observation period can be calculated using the Poisson probability formula:

P(X = k) = (e^(-λ) * λ^k) / k!

where λ is the intensity of the Poisson process. In this case, λ = 4 (since the intensity is given as 4 per hour) and k = 2.

P(X = 2) = (e^(-4) * 4^2) / 2!

P(X = 2) ≈ 0.1465

b) The probability of seeing at least one meteor during the observation period can be calculated using the complement rule:

P(at least one meteor) = 1 - P(no meteor)

Since the intensity is 4 meteors per hour, the probability of no meteor in one hour is:

P(no meteor) = e^(-4)

To calculate the probability of no meteor during the entire 4-hour observation period, we raise the probability of no meteor in one hour to the power of 4:

P(no meteor) = (e^(-4))^4 = e^(-16)

P(at least one meteor) = 1 - e^(-16)

c) The expected number of meteors during the observation period can be calculated using the mean of a Poisson distribution. The mean (expected value) of a Poisson distribution is equal to the intensity (λ).

In this case, the expected number of meteors is 4 (since λ = 4).

d) The standard deviation of the number of meteors during the observation period can be calculated using the square root of the variance of a Poisson distribution. The variance of a Poisson distribution is equal to the intensity (λ).

In this case, the standard deviation is the square root of 4, which is 2.

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It seems there is an error in the given vector field F⃗ = 3(x+z)i⃗ + 2j⃗ + 3zk⃗ as it does not have a component along the y-axis. Please double-check the vector field or provide the correct vector field to proceed with the calculation.

To compute the flux of the vector field F⃗ = 3(x+z)i⃗ + 2j⃗ + 3zk⃗ through the surface S given by y=x^2+z^2, with 0≤y≤16, x≥0, z≥0, oriented toward the xz-plane, we can use the surface integral.

The surface integral of a vector field F⃗ over a surface S is given by the formula:

∬S F⃗ · dS = ∬S F⃗ · (n⃗ dS)

where F⃗ is the vector field, dS is the differential area vector, and n⃗ is the unit normal vector to the surface.

In this case, the surface S is given by y=x^2+z^2, with 0≤y≤16, x≥0, z≥0. We can parameterize this surface as:

r(x, z) = xi⃗ + yj⃗ + zk⃗ = xi⃗ + (x^2+z^2)j⃗ + zk⃗

To find the normal vector n⃗ to the surface, we can take the cross product of the partial derivatives of r(x, z) with respect to x and z:

n⃗ = ∂r/∂x × ∂r/∂z

= (1i⃗ + 2xj⃗) × (0i⃗ + 2zj⃗)

= -2xz i⃗ + 2zj⃗ + 2xk⃗

Now, we can calculate the flux:

∬S F⃗ · (n⃗ dS) = ∬S (3(x+z)i⃗ + 2j⃗ + 3zk⃗) · (-2xz i⃗ + 2zj⃗ + 2xk⃗) dS

= ∬S (-6x^2z - 4xz + 6xz^2 + 6xz) dS

= ∬S (-6x^2z + 2xz + 6xz^2) dS

To evaluate this integral, we need to determine the limits of integration for x, y, and z.

Since the surface is defined by 0≤y≤16, x≥0, z≥0, we have:

0 ≤ y = x^2 + z^2 ≤ 16

Simplifying the inequality, we get:

0 ≤ x^2 + z^2 ≤ 16

From this, we can see that x and z both range from 0 to 4.

Now, we can evaluate the flux:

∬S (-6x^2z + 2xz + 6xz^2) dS = ∫∫ (-6x^2z + 2xz + 6xz^2) dA

where dA is the differential area.

Integrating over the limits 0 ≤ x ≤ 4 and 0 ≤ z ≤ 4, we can calculate the flux.

However, it seems there is an error in the given vector field F⃗ = 3(x+z)i⃗ + 2j⃗ + 3zk⃗ as it does not have a component along the y-axis. Please double-check the vector field or provide the correct vector field to proceed with the calculation.

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Answer: \(y=-\frac{1}{2} x+3\)

Step-by-step explanation:

use the formula y=mx+b

m = slope

b = y-intercept

slope is rice over run

rise 1 run -2       m= -1/2

y- intercept is the point where the line intercepts with the y-axis

b=3

plug into equation

\(y=-\frac{1}{2} x+3\)

Answer:

what she said

Step-by-step explanation:

Answer:

31 and 37

Step-by-step explanation:

Those are the only two numbers

Answer:

The two numbers between 30 and 40 which have only 2 factors are -

31 and 37

Hope it helps you.

Answer:

Answer

Step-by-step explanation:

here

Answer:

3/4 - a/8

Step-by-step explanation:

The difference quotient of the function f(x) = 4x² - 5x is 8x + 4h - 5.

The formula for difference quotient is expressed as:

\(\frac{f(x+h)-f(x)}{h}\)

Given the function in the question:

f(x) = 4x² - 5x

To solve for the difference quotient, we evaluate the function at x = x+h:

First;

f(x + h) = 4(x + h)² - 5(x + h)

Simplifying, we gt:

f(x + h) = 4x² + 8hx + 4h² - 5x - 5h

f(x + h) = 4h² + 8hx + 4x² - 5h - 5x

Next, plug in the components into the difference quotient formula:

\(\frac{f(x+h)-f(x)}{h}\\\\\frac{(4h^2 + 8hx + 4x^2 - 5h - 5x - (4x^2 - 5x)}{h}\\\\Simplify\\\\\frac{(4h^2 + 8hx + 4x^2 - 5h - 5x - 4x^2 + 5x)}{h}\\\\\frac{(4h^2 + 8hx - 5h)}{h}\\\\\frac{h(4h + 8x - 5)}{h}\\\\8x + 4h -5\)

Therefore, the difference quotient is 8x + 4h - 5.

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Answer: q=4

Step-by-step explanation:

Answer:

A difference is that a linear line is straight and a non linear is not

The solution to the equation 9 × (3 ÷ x) = 26 is x = 1.038.

To solve the equation 9 × (3 ÷ x) = 26 for x, we can follow these steps:

Simplify the expression on the left side of the equation:

9 × (3 ÷ x) = 26

27 ÷ x = 26

Multiply both sides of the equation by x to eliminate the division:

(27 ÷ x) × x = 26 × x

27 = 26x

Divide both sides of the equation by 26 to solve for x:

27 ÷ 26 = (26x) ÷ 26

1.038 = x

As a result, x = 1.038 is the answer to the equation 9 (3 x) = 26.

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Answer:

Its infinite solutions because its the same exact thing when you simplify the first half of the problem.

Step-by-step explanation:

Answer:

Infinite Solution

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6(x−1)=6x−6

(6)(x)+(6)(−1)=6x+−6 (Use Distributive Property)

6x+−6=6x+−6

6x−6=6x−6

Step 2: Subtract 6x from both sides.

6x−6−6x=6x−6−6x

−6=−6

Step 3: Add 6 to both sides.

−6+6=−6+6

0=0

Answer: \(\frac{x}{50} > 8\)

Step-by-step explanation:

more than =    >  not ≥

Applying the volume of cylinder, Ramon can pour approximately 697.65 cubic inches of juice into 6 cups.

To calculate the volume of each cup, we can use the formula for the volume of a cylinder: V = πr²h, where V is the volume, r is the radius, h is the height, and π is approximately 3.14.

Given that the diameter of each cup is 4.6 inches, we can find the radius by dividing the diameter by 2: r = 4.6 / 2 = 2.3 inches.

Plugging in the values into the volume formula, we get: V = 3.14 * (2.3)² * 7.

Calculating this expression, we find that the volume of each cup is approximately 116.27 cubic inches.

To find the total amount of juice that Ramon can pour into 6 cups, we multiply the volume of one cup by the number of cups: 116.27 * 6 = 697.62 cubic inches.

Rounding to the nearest hundredth, we get approximately 697.65 cubic inches.

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Answer:

285.50

Step-by-step explanation:

The total for the ratio of 1:4 is 5.  The ratio to the woman to the total is

4:5 or

\(\frac{4}{5}\) = \(\frac{x}{2855}\)  Cross multiply and solve for x

4(2855) = 5x

11420 = 5x  Divide both sides by 5

2284 =x

The woman's portion of the total is 2284.

The woman takes the 2284 and divides it in a ratio of 5:1:2.  The total is 8.

The daughter will receive the ratio of 1:8 of the total.

\(\frac{1}{8}\) = \(\frac{x}{2284}\)  cross multiply and solve for x

8x = 2284    Divide both sides by 8

x = 285.50

The daughter's portion is 285.50

Step-by-step explanation:

=| -9/10|+|7/4|

=9/10 +7/4

\( = \frac{9}{10} + \frac{7}{4} \\ = \frac{53}{20} \\ \)

Option B is the answer

Answer:

perpendicular line: y = -\(\frac{1}{4}\)x - \(\frac{9}{4}\)

parallel line: y = 4x - 15

Step-by-step explanation:

Perpendicular line:

A perpendicular line to y = 4x-3 would have a slope that is the negative reciprocal (flip the fraction and add a negative sign). The negative reciprocal of 4 is - \(\frac{1}{4}\).

Now that we have our slope, we can plug the given point of (3, -3) into the slope-intercept equation to find b.

-3 = - \(\frac{1}{4}\)(3) + b

-3 = - \(\frac{3}{4}\) + b

Add \(\frac{3}{4}\) to each side of the equation to isolate b.

-\(\frac{9}{4}\) = b

Now we can write our equation, y = -\(\frac{1}{4}\)x - \(\frac{9}{4}\)

Parallel Line:

A parallel line to y = 4x-3 has the same slope. To find the equation, plug the slope and given point (3, -3) into the slope intercept equation and solve for b.

-3 = 4(3) + b

-15 = b

Now you can write the equation, y= 4x -15

Answer:

5/80 = 0.0625

Using simple mathematical operations, we know that 8% of sugar is used in 4 cups.

So, % of sugar used in 4 cups:

So, % of sugar Kim used:

Therefore, using simple mathematical operations, we know that 8% of sugar is used in 4 cups.

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Answer: E. Categorical data

Answer:

Step-by-step explanation:

You can fill in the space between 0 and 1/2 with 3 ovals that are of length 1/6.

This tells you that 1/2 ÷ 1/6 = 3.

we have only one outcome that is neither positive nor negative, then the statement is false.

What is square root?

A value known as the square root of a number is one that, when multiplied by itself, yields the original number. An alternative to square rooting a number is to use it. Therefore, the concepts of squares and square roots are connected. The original number is equal to the square root of any integer, which is equivalent to a number.

Let's assume that m is an integer that is positive, such that (m.m) = (m2) = m.

This seems to be true because:

-2*-2 = 2*2 = 4

So √4 = 2 and -2

But particularly the square root of zero is:

√0 = 0

So here we have only one outcome that is neither positive nor negative, then the statement is false.

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