graph the function rule. y=x+3 y=-2x​

The purpose of this test is to evaluate the effects of rotational acceleration on the semicircular ducts and dynamic equilibrium. This test is called Rotational Acceleration Test.

The purpose of the rotational acceleration test is to assess how the semicircular ducts and the body's dynamic equilibrium respond to rotational movements. The semicircular ducts are part of the vestibular system, which is responsible for detecting changes in head position and rotational movements.

During the test, the individual is subjected to controlled rotational acceleration, usually in a specially designed chair or device. The rotational acceleration induces a sense of spinning or movement, stimulating the semicircular ducts.

By observing the individual's responses, such as eye movements or changes in body posture, healthcare professionals can gather information about the functioning of the vestibular system and the body's ability to maintain balance.

This test is particularly useful in diagnosing disorders of the vestibular system, such as vestibular dysfunction, vertigo, or balance disorders. It helps healthcare providers determine the extent of the impairment and develop appropriate treatment plans or interventions to improve balance and reduce symptoms.

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Answer:

1. Combining like terms

2. Distributive property

3. Subtraction (both sides)

4. Addition(both sides)

5. Division

Step-by-step explanation:

Answer:

8u - 20

Step-by-step explanation:

Answer: x=0 and y=0

Step-by-step explanation:

$14,000 will grow to approximately $19,160 in two years, assuming an interest rate of 16% compounded quarterly. The correct answer is $19,160.

How can we calculate the interest rate of  16% compounded quarterly?
FV = PV(1 + r/n)^(nt)
where:
FV = future value
PV = present value ($14,000)
r = interest rate (0.16)
n = number of times compounded in a year (quarterly = 4)
t = number of years (2)
Step-by-step calculation:
1. Calculate the quarterly interest rate: 0.16 / 4 = 0.04
2. Calculate the total number of compounding periods: 4 * 2 = 8
3. Calculate the factor: (1 + 0.04)^8 = 1.3685 (rounded to 4 decimal places)
4. Multiply the present value by the factor: $14,000 * 1.3685 = $19,159.66 (rounded to 2 decimal places)

So, $14,000 will grow to approximately $19,160 in two years, assuming an interest rate of 16% compounded quarterly. The correct answer is $19,160.

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Answer:

Total number of tile used = 300

Step-by-step explanation:

Given:

Length of floor = 240 inches = 240 / 12 = 20 ft

Width of floor = 180 inches = 180 / 12 = 15 ft

Size of each tile =  1 square foot

Find:

Total number of tile used

Computation:

Area of floor = 20 x 15

Area of floor = 300 square foot

Total number of tile used = Area of floor / Size of each tile

Total number of tile used = 300 / 1

Total number of tile used = 300

Answer:

The correct answer is B. In set B, the input of -2 does not correspond to exactly one output.

To construct an open-topped box with a volume of 1,568 in3, the original piece of cardboard must have dimensions of 20 in. by 20 in

The open-topped box can be constructed from a square piece of cardboard by removing a square of size 2 inches from each corner and turning up the edges. To determine the size of the original piece of cardboard, we can use the formula for the volume of a rectangular prism.

The volume of a rectangular prism is equal to the length times the width times the height. Therefore, we can solve for the original piece of cardboard as follows:

1,568 in3 = \((L - 4)(W - 4)h\)

We can rearrange this formula to solve for the length, width, and height:

\(L = (1,568 + 16) / h\)
\(W = (1,568 + 16) / h\)
\(h = 1,568 / (L - 4)(W - 4)\)

For the open-topped box to hold 1,568 in3, the length, width, and height must all equal 16 in. Thus, the original piece of cardboard must have dimensions of 20 in. by 20 in.

To construct the box, we must remove a square of size 2 inches from each corner of the cardboard. This leaves a square with dimensions of 16 in. by 16 in. To turn up the edges, we must add an additional 2 in. in height to each side, creating a rectangular prism with dimensions of 16 in. by 16 in. by 4 in.

In summary, to construct an open-topped box with a volume of 1,568 in3, the original piece of cardboard must have dimensions of 20 in. by 20 in. To construct the box, we must remove a square of size 2 inches from each corner of the cardboard and turn up the edges to create a rectangular prism with dimensions of 16 in. by 16 in. by 4 in.

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Answer:

n+2 is the next even number as n is an even number so adding 2 will make it an even number again.

The approximate area of the trapezoid is determined as  13.95 unit².

The approximate area of the trapezoid is calculated as follows;

Area = ¹/₂(b₁ + b₂)h

Where;

The y-coordinates of the points on the curve at x=3/2 and x=4 is calculated as follows;

y(3/2) = - (3/2)²/2 + 3/2 + 5

y(3/2) = -9/8 + 3/2 + 5

y(3/2) = 5.375

y(4) = -4²/2 + 4 + 5

y(4) = -8 + 9

y(4) = 1

h = 5.375 - 1 = 4.375

The approximate area of the trapezoid is calculated as;

Area = ¹/₂(5.375 + 1) x 4.375

Area = 13.95 unit²

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The marginal PMFs for X and Y are both uniform distributions, where each outcome has an equal probability of 1/2.

To calculate the joint probability mass function (PMF) of the bivariate pair (X, Y), where X represents the color of the marble sampled from Box A and Y represents the color of the marble sampled from Box B, we need to consider all possible outcomes.

Possible outcomes for X and their probabilities:

- X = Blue: Probability of drawing a blue marble from Box A is 2/4 = 1/2.

- X = Red: Probability of drawing a red marble from Box A is 2/4 = 1/2.

Possible outcomes for Y and their probabilities:

- Y = Blue: If the marble from Box A was blue, the probability of drawing a blue marble from Box B is (2 + 1)/(4 + 1) = 3/5 (since there are now 3 blue and 2 red marbles in Box B).

If the marble from Box A was red, the probability of drawing a blue marble from Box B is 2/5. So, P(Y = Blue) = (1/2) * (3/5) + (1/2) * (2/5) = 5/10 = 1/2.

- Y = Red: If the marble from Box A was blue, the probability of drawing a red marble from Box B is 2/5.

If the marble from Box A was red, the probability of drawing a red marble from Box B is 3/5. So, P(Y = Red) = (1/2) * (2/5) + (1/2) * (3/5) = 5/10 = 1/2.

Now, let's construct the joint PMF table for (X, Y):

|   X/Y   |  Blue |  Red  |

|----------|---------|---------|

|  Blue |   1/4    |   1/4   |

|  Red  |   1/4    |   1/4   |

To calculate the marginal PMFs for X and Y, we sum the probabilities along each row or column.

Marginal PMF for X:

|   X   |   Blue   |   Red |

|--------|-----------|---------|

|  P(X) |   1/2    |   1/2   |

Marginal PMF for Y:

|   Y    |   Blue   |   Red   |

|--------|-----------|----------|

|  P(Y) |   1/2    |   1/2   |

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Dean halverson recently read that full-time college students study 20 hours each week. 0.000519 is the p -value.

Given :

Population mean, μ = 20

Sample mean, xbar = 22.4

Sample standard deviation, s = 3.7

Sample size, n = 31

The hypothesis :

H0 : μ = 20

H0 : μ > 20

The test statistic :

(xbar - μ) ÷ (s/√(n))

T = (22.4 - 20) ÷ (3.7/√(31))

T = 2.4*5.6 ÷ 3.7

Test statistic = 3.632

Using the Pvalue calculator :

df = n - 1 = 31 - 1 = 30

Pvalue(3.632, 30) = .000519.

The p-value is .000519.

The result is significant at p < .05

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Hello !

++ ⇒ +

-- ⇒ +

+- ⇒ -

-+ ⇒ -

(-4.79) + (-0.4)

= -4.79 - 0.4

= -5.19

The answer is -5.19.

Answer:

6y (y + 4)

(pick out the common factors) \

hope its righ!

Hope it helps you ❤️. ❤️❤️❤️❤️

Answer:

redes sociales fff

ffkr

The nth term of the given number sequence is n^2-1.

The first three terms of the sequence are:

1st term: 1^2-1 = 0

2nd term: 2^2-1 = 3

3rd term: 3^2-1 = 8

The tenth term of the sequence is:

10th term: 10^2-1 = 99

Therefore, the first three terms of the sequence are 0, 3, 8 and the tenth term is 99.

A set of numbers organized according to certain patterns or rules is known as a number sequence. Sequence types: Sequence of arithmetic operations: Any two successive numbers' difference is constant. Geometric series: Any two consecutive numbers' ratio is constant.

A series of numbers is an ordered list. The three dots signify moving forward in the set pattern. Each digit in the sequence is referred to as a word. The first term in the list is 1, followed by the second by 3, the third by 5, and so on.

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Answer:

36

Step-by-step explanation:

6:8

27/6 = 4.5

8 · 4.5 = 36

The bearing of how far east of point G is point H is 51.68 m

Bearing is the number of degrees in the angle measured in a clockwise direction from the north line to the line joining the centre of the compass. It is used to describe a particular direction in which an object is traveling.

How to determine this

When point G and point H are 58 m apart

Point H is at a bearing of 63 degrees

i.e At point H = 63°

To calculate how far east of point G is to point H

When North to East is 90°

So, 90° - 63°

= 27°

x meter away from point H to the East

= cos 27° * 58 m

= 0.9114 * 58 m

= 52.86 m

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The statements that must be true are:

B. FH ≅ GH

D. <DHF is a right angle

E.  H is the midpoint of FG

What is a perpendicular bisector?

A perpendicular bisector is a straight line which partitions a given line segment into two equal parts. As such, it is at a right angle to the bisected line segment.

From the given diagram, given that line DE is the perpendicular bisector of line segment FG, then the statements that must be true are:

B. FH ≅ GH

D. <DHF is a right angle

E.  H is the midpoint of FG

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To find e(n n0), you multiply e(n) by p.

To find var(n n0), you calculate var(n) and add n times the difference between var(n0) and p^2.

To find e(n n0) and var(n n0), we need to use the binomial distribution formula.

Let's break it down step by step.

1. The probability of getting heads (h) on any single flip is given as p.
2. The number of tosses (n) on which h turned up is recorded.
3. The coin is then flipped n times and the number of times h showed up, n0, is recorded again.

Now, let's find e(n n0) (the expected value):

1. The expected value of n0 is given by e(n0) = n * p, as the probability of getting heads on any single flip is p.

2. The expected value of n is given by e(n) = n * p, as the probability of getting heads on any single flip is p.

3. Now, we can find e(n n0) by using the formula: e(n n0) = e(n) * p

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Answer:

A hexagon

Step-by-step explanation:

A hexagon - - - the allen wrench has 2 hexagonal heads. See attached pic.

The geometric shape that forms the hole that fits an allen wrench is a hexagon, which is a six-sided polygon with straight sides and angles.

The geometric shape hexagon-shaped hole in an allen wrench, also known as a hex key, is designed to fit tightly over the hexagonal socket of a screw or bolt head. A hexagon is a six-sided polygon, meaning it has six straight sides and angles. In the case of an allen wrench, the hexagon has internal angles of 120 degrees and opposite sides that are parallel.

The hexagonal shape of the hole in the wrench allows for a tight and secure fit onto the corresponding hexagonal socket of the screw or bolt head. This design ensures that the wrench can apply a significant amount of torque to the fastener without slipping, which is essential for many applications in construction, mechanics, and other industries.

The use of a hexagonal shape also allows for greater precision and control when turning the screw or bolt, making it easier to achieve the desired level of tightness. Overall, the hexagon is an ideal shape for the hole in an allen wrench due to its strength, stability, and precision.

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Answer:

jojo reference

Step-by-step explanation:

Answer:

The graphs of all exponential functions have these characteristics. They all contain the point (0, 1), because a0 = 1. The x-axis is always an asymptote. They are decreasing if 0 < a < 1, and increasing if 1 < a.

Answer:

angle

Step-by-step explanation:

An angle consists of two rays joined together.  The rays are joined at the vertex.

Answer:

angle

Step-by-step explanation:

An angle consists of two different rays with a common endpoint.

The differential equation concerning the given question is Q' = -2.5Q Q(0) = 0 . Therefore the required correct answer for the question is Option A.

a) The differential equation expressing the quantity Q(t)  of warfarin in the body, at t hours later when a patient who is suffering from Warfarin  is given a pill containing 2.5 mg of Warfarin then,

dQ/dt = -kQ
here Q(0) = 2.5

b) The differential equation the expressing the quantity Q(t)  of warfarin in the body, at t hours later when a patient who is not suffering from Warfarin  is given a pill containing 0.5 mg/hr then,

dQ/dt = -kQ + r
where Q(0) = 0
Here
k = rate constant
r = rate of administration
The differential equation concerning the given question is Q' = -2.5Q Q(0) = 0 . Therefore the required correct answer for the question is Option A.

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The rate at which Warfarin leaves the body should be proportional to the amount still in the body, not a constant rate of 2.5. So the correct differential equation for part (b) is:

Q' = 0.5 - kQ, where Q(0) = 0

Where k is the proportionality constant for the rate of elimination.

Explanation

(a) Let's denote the rate of elimination as k, where k > 0. Since the elimination rate is proportional to the amount of warfarin, we can write the differential equation as:

Q'(t) = -kQ(t)

Given that the initial condition is a 2.5 mg pill, the initial condition should be:

Q(0) = 2.5

So the differential equation for part (a) is:

Q'(t) = -kQ(t), Q(0) = 2.5

(b) In this case, the patient receives warfarin intravenously at a rate of 0.5 mg/hour. Thus, we should add the rate of administration to our equation:

Q'(t) = 0.5 - kQ(t)

The initial condition is still that the patient has no warfarin in her system:

Q(0) = 0

So the differential equation for part (b) is:

Q'(t) = 0.5 - kQ(t), Q(0) = 0

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Answer:

Interior: 135 degrees

Exterior: 45 degrees

Step-by-step explanation:

The interior angle of a regular octagon is exactly 135 degrees, which can be found using the (n – 2)180 formula. The exterior is simply 180 - the interior, which is 45. :)

Answer:

whadda say

Step-by-step explanation:

interior angle: (n-2)×180°

exterior angle: (n-2)÷180°

Identity properties of addition are known to commutative in nature.

Given A and B, A and B are commutative or possess identity property of addition if;

A+B = B+A

For identity property, the two integers you are summing must include zero. For exmaple, a+0 = 0+a = a

The answer must always give the non-zero integer. Let us use 8 and 0 for example. This two possess the identity property of addition because;

8+0 = 0+8 = 8 (identity property of addition)

The evaluated integral using substitution is (1/2.7)(1 + x^3)^2.7 + C.

We will use a substitution method to evaluate the integral of x^2 (1 + x^3)^1.7 dx.

Step 1: Choose a substitution. In this case, we'll let u = 1 + x^3. This substitution simplifies the integrand, as it directly involves a term inside the integral.

Step 2: Compute the differential du. Differentiating u with respect to x, we get du/dx = 3x^2. Rearranging, we have du = 3x^2 dx.

Step 3: Modify the integral using the substitution. The given integral becomes ∫(1/3)u^1.7 du, where we have divided by 3 to account for the 3x^2 dx term in our substitution.

Step 4: Evaluate the modified integral. To do this, we will use the power rule for integration:

∫u^n du = (1/(n+1))u^(n+1) + C, where n ≠ -1

In our case, n = 1.7, so the integral becomes:

(1/(1.7+1))u^(1.7+1) + C = (1/2.7)u^2.7 + C

Step 5: Replace u with the original expression in terms of x:

(1/2.7)(1 + x^3)^2.7 + C

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