refer to exhibit 1-3. based on the data provided in this table, what type of relationship exists between variables x and y?

x ≈ 5,62

Step-by-step explanation:

3 log (x) + log (x⁴) - log (∛x) = 5

log (x³) + log (x⁴) - log (∛x) = 5

log (x³ · x⁴ ÷ \(\rm x^{\frac{1}{3}}\)) = 5

log \(\left(\rm x^{3+4-\frac{1}{3}}\right)\) = 5

log \(\left(\rm x^{7-\frac{1}{3}}\right)\) = 5

log \(\left(\rm x^{\frac{21-1}{3}}\right)\) = 5

20/3 · log x = 5

log x = 5 · 3 ÷ 20

log x = 15 ÷ 20

log x = 3/4

x = \(10^\frac{3}{4}\)

x ≈ 5,62

Cultural sensitivity is crucial in elder care. Cultural beliefs impact elderly care. A foreign-raised nursing student desires to care for her mother and sisters until her mother's passing.

Consider cultural values: Students from certain backgrounds may see caring for their elderly parents as a moral duty. Respecting elder beliefs is critical in discussing care options. Have open, non-judgmental communication with the nursing student. Show empathy and listen to her perspective.

Educate the nursing student about caring for a loved one with medical and psychiatric problems. Explain physical, emotional, and financial consequences, including effects on relationships and responsibilities.

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Answer:

Below

Step-by-step explanation:

A cube has SIX sides of equal area

  each side has area = L x W       and L and W are the same = 4.5 m

      so:   Area =   six   X   ( 4.5  X 4.5)  =   6 * 4.5 * 4.5 = 121.5 m^2

Answer:

Hope the picture will help you...

The relationship that the black keys have with each other in piano keyboard has a total of 88 keys is that there are 9 blacks keys for every 22 keys.

It should be noted that in a piano keyboard that has a total of 88 keys, the number of black keys that are in the piano is 36 black keys.

Therefore, the appropriate ratio between the black keys and total keys will be:

= 36 / 88

= 9 / 22

= 9:22

Therefore, the relationship is that there are 9 blacks keys for every 22 keys.

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The solution of the system of equation -6x + 2 = -2^{x + 2} + 6 is equal to the ordered pair (0, 2).

In order to to graph the solution to the given system of equations on a coordinate plane, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;

f(x) = -6x + 2     ......equation 1.

g(x) = -2^{x + 2} + 6     ......equation 2.

Based on the graph (see attachment), we can logically deduce that the solution to the given system of equations is the point of intersection of the lines on the graph representing each of them, which lies in Quadrant I and it is given by the ordered pair (0, 2)

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The unknown measures are from right angle triangle is

KM = 10.68

∠m = 35 and ∠k = 55

Given that

KL =6.2

LM =8.7

KM = x

The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle. Therefore, trig ratios are evaluated with respect to sides and angles.

The triangle that is presented is a right angle triangle.

\(KM^{2}\) = \(LM^{2}\) + \(KL^{2}\)

KM = \(\sqrt{(8.7)^{2} + (6.2)^{2} }\)

KM = \(\sqrt{114.13}\)

KM = 10.68

Now figure out the angles.

∠m = sinm

     = P/H

     =6.2/10.2

∠m = 35

Again,

∠k = sink

     =P/H

    = 8.7/10.6

∠k = 55

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As a percentage, a card at random 5, 6, 7, 8 9, 7.5, 6.42, 5.62. Per cent is derived from the Latin adverbial phrase per centum, which means "by the hundred." The Latin phrase made its way into English in the 16th century.

Therefore,

45/5 = 9

45/6 = 7.5

45/7 = 6.42

45/8 = 5.62

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The radian measure of an angle is directly proportional to the length of the arc intercepted by that angle on the unit circle.

Proportional is a mathematical concept that describes the relationship between two or more values that have a constant ratio. It is commonly used to describe the relationship between two or more variables, such as the size of an object in relation to another or the amount of a certain item in relation to the total amount. In proportionality, the ratio of the amounts remains consistent, no matter what the size of the values.

This means that as the angle increases, so does the length of the arc. This is because the length of an arc is determined by the angle measure of the central angle created by the arc, and the radian measure of an angle is the ratio of the arc length to the radius of the circle. Therefore, if the angle measure increases, so does the arc length.

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Answer:

1. sub total $37.17 total $85.54

2. sub total $69.03 total $158.86

3. sub total $100.89 total $232.18

4. sub total $132.75 total $305.5

5. sub total $175.23 total $403.26

Step-by-step explanation:

Answer:

Only 3 students scored between 90 and 99.

13 students earned a C

25 Students scored 70 or better on the exam.

There are 40 Students in the date.

Step-by-step explanation:

Answer:

it's \(\\\frac{4}{13} +\frac{7}{13}i\)

Step-by-step explanation:

The right response is 400%. In other words, Johnny moves at four times the pace of Jane.

We must compare the speeds of Johnny and Jane in relation to one another in order to get their ratio. According to the issue, Jane moves at a pace that is 1/4 that of Johnny. In other words, Jane moves at a speed that is one-fourth that of Johnny.

We may compare the speeds as a fraction to figure out the ratio:

Johnny's speed divided by Jane's speed equals 4/1.

This indicates that Johnny is moving at a speed that is four times that of Jane. We can express Johnny's speed as 400% of Jane's speed in percentage terms.

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Answer:

30

Step-by-step explanation:because you are adding 5 by every minute and it gets you to 30

22>x>36 is the range for the third side's measurement when two sides of a triangle are measured at 7 km and 29 km.

Given that,

When the other two sides of a triangle are measured at 7 km and 29 km.

We have to determine the range for the third side's measurement.

We know that,

Take the measured sides.

7 km and 29 km

So, we can write as

The two sides added together are greater than the third side.

So, take one side as x

We get,

7+x>29

Taking 7 to the right side we get negative 7
x>29-7

x>22

Now taking 29 to left side and x to sides

7+29>x

36>x

Therefore, 22>x>36 is the range for the third side's measurement when two sides of a triangle are measured at 7 km and 29 km.

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The calculated value of the probability of B is (c) 0.25

From the question, we have the following parameters that can be used in our computation:

P(A or B) = 0.3

P(A and B) = 0.2

P(A/B) =0.8

First, we have

P(A/B) = P(A and B)/P(B)

Substitute the known values in the above equation, so, we have the following representation

0.2/P(B) = 0.8

So, we have

P(B) = 0.2/0.8

Evaluate

P(B) = 0.25

Hence, the probability of B is 0.25

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Answer:

A. The zeroes are -3 and -2/3 because y= (x + 3) (3x + 2)

Step-by-step explanation:

-19.99; The line of best fit underpredicts the student's science test score.

So correct option is A.

A prediction is an estimation or forecast about future events or conditions, based on past data and trends, current information, and/or mathematical models. Predictions can be made in various fields, such as finance, weather, sports, social sciences, and natural sciences. The accuracy of predictions depends on many factors, including the quality of the data used, the assumptions made, the complexity of the system being analyzed, and the reliability of the methods used. Predictions are not always accurate and are often subject to revision as new information becomes available.

The predicted science score for the student with IQ 100 can be calculated using the line of best fit:

ŷ = −20.3 + 0.7489 * 100 = 71.59

The residual is the difference between the actual science test score and the predicted science score:

residual = actual score - predicted score = 52.6 - 71.59 = -19.99

So the line of best fit underpredicts the student's science test score by 19.99 points.

Therefore, the residual is:

-19.99; The line of best fit underpredicts the student's science test score.

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The equation of the line having slope 0 and passing through (-3,-2) is f(x) = -2.

Any horizontal line has the same y-value for every point on the line. We are given that the line passes through the point (-3,-2). This means that f(-3) = -2, since the y-value of the point (-3,-2) corresponds to the value of the function at x = -3.

This is because no matter what x-value we plug into the function, the output (y-value) will always be -2. Therefore, the equation of the line in function notation is f(x) = -2.

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Answer:

  a) x = 1 ± (3/7)√7

  b) (-∞, -5) ∪ [-2, 5) ∪ [6, ∞)

Step-by-step explanation:

You want solutions to the relations ...

We like to solve these in the form f(x) = 0. It helps avoid extraneous solutions.

  \(7+\dfrac{1}{x} -\dfrac{1}{x-2}=0\\\\\\\dfrac{7x+1}{x}-\dfrac{1}{x-2}=0\\\\\\\dfrac{(7x+1)(x-2)-x}{x(x-2)}=0\\\\\\ \dfrac{7x^2-14x-2}{x(x-2)}=0\)

The roots of the numerator quadratic are found by ...

  x² -2x -2/7 = 0 . . . . . divide by 7

  x² -2x +1 -9/7 = 0 . . . . add and subtract 1

  (x -1)² = 9/7 . . . . . . . . . . write as a square, add 9/7

  x -1 = ±√(9·7/49) = ±(3/7)√7 . . . . take the square root

  x = 1 ± (3/7)√7

Rational inequalities are best solved by identifying the roots of numerator and denominator. These tell you where the function changes sign. The end behavior of the rational function tells you what the signs are changing from.

  \(\dfrac{x^2-4x-12}{x^2-25}\ge 0\\\\\\\dfrac{(x+2)(x-6)}{(x+5)(x-5)}\ge0\)

This has a horizontal asymptote at y=1 for |x|→∞. It has vertical asymptotes at x=±5.

The sign changes occur at x ∈ {-5, -2, 5, 6}. The rational expression is positive (approaching +1) for x < -5 and for x > 6. It is negative in the adjacent intervals, so positive again for -2 < x < 5.

The inequality is satisfied for ...

Therefore, the solution to the given problem is that the upper bound for P(X>15) is 3/25

The variance is the difference between the numbers in a set of data, to put it simply. Each number's variability is a statistical statistic that indicates how far off from the mean and from each other number in the set it is.

Here,

Given : mean = 10

varience = 3

Using chebyshevs inequality we have

P(|X-u| ≥ k)≤ \(\sigma^{2}\)/\(k^{2}\)

hence we can have,

=> P(X>15)  ≤ 3/\(5^{2}\)

=> P(X>15)  ≤ 3/25

Therefore, the solution to the given problem is that the upper bound for P(X>15) is 3/25

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a. In interval notation, Increasing intervals: (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm). Decreasing intervals: (8am, 9am) U (11am, 12pm). Constant intervals: (9am, 10am) U (10am, 11am)

b. The increase in cost between 12 noon and 3 pm is $2.

c. Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

Interval notation is used to represent continuous intervals of numbers or values, like ranges on a number line.

The graph shows that from 8-9am, and 11-12pm, the cost from Swift Ride decreases.

We can represent it as (8am, 9am) U (11am, 12pm).

It increases at these times (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm).

And stays constant at : (9am, 10am) U (10am, 11am)

We simply deduct the 12pm's cost from 3pm's cost.

So, we have

Cost increase = $3.5 - $1.5

Evaluate the difference

Cost increase = $2

Hence, the cost increase is $2

When you plot the points provided for Yellow cab, you'll notice that Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

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Here's the complete chart:

Month  Balance Interest Payment New Balance

0  $1,357.56     -            -          $1,357.56

1 $1,383.54 $23.98 $150 $1,257.52

2 $1,409.62 $26.08 $150 $1,266.06

3 $1,435.81 $27.19 $150 $1,473.61

Percent is a way of expressing a fraction or a ratio as a number out of 100. The word "percent" comes from the Latin per centum, which means "per hundred." Percentages are commonly used in many areas, including finance, economics, and statistics. For instance, interest rates, inflation rates, and stock market returns are often expressed as percentages. In addition, percentages are used to calculate discounts, markups, and taxes.

Here,

To calculate the new balance by the end of the 3rd month, we need to use the formula for the balance after n months with monthly payments:

B(n) = (1 + r)ⁿ * B(0) - (PMT/r) * [(1 + r)ⁿ-1]

where B(0) is the initial balance, r is the monthly interest rate, PMT is the monthly payment, and n is the number of months.

In this case, we have:

B(0) = $1357.56

r = 1.7% per month = 0.017

PMT = $150

n = 3 months

Plugging these values into the formula, we get:

B(3) = (1 + 0.017)³ * $1357.56 - ($150/0.017) * [(1 + 0.017)³ - 1]

= $1473.61

Therefore, the new balance by the end of the 3rd month is $1473.61.

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Answer:

8x-7y

Step-by-step explanation:

(–2y – x) – (5y – 9x)

Distribute the minus sign

-2y -x -5y +9x

Combine like terms

-x +9x - 2y -5y

8x-7y

Answer:

\(8x-7\)

Step-by-step explanation:

\((-2y - x) - (5y - 9x)\)

Distribute the negative sign.

\((-2y - x)-5y+9x\)

\(-2y - x-5y+9x\)

\(-2y -5y+9x- x\)

Add or subtract like terms.

\(-7y+8x\)

Answer:

5

Step-by-step explanation:

she brought 4 boxes of 8 therefore

4 × 8 = 32 she brought 32 pork chop

she put 12 aside

32- 12= 20 and pack the remaining 20 into pack of 4, 20÷4 =5.

therefore she had 5 freeze pack of pork chops

brainliest is appreciated

Answer:

The answer is $118

Step-by-step explanation:

There is 12 months in a year so $118 x 12 = $1416

Step-by-step explanation:

mean of 20 lb and a standard deviation of 9. If 9 fish are randomly selected,

what is the probability that the mean weight will be between 17.6 and 23.6

Ib? Write your answer as a decimal rounded to 4 places

Answer:

use a calculater multiply them

2 over 9 would just be 9 x 9= 81

4 over 2 would just be 2 x 2 x 2 x 2 = 16

do NOT do 2 x 4 bec that will be 8

its c because i already did that and got it right

Answer:

60

Step-by-step explanation: