Which is the best interpretation of the solution set for the compound inequality?

x – 1 –10
x < 4
all real numbers

Answer:

1. 12.9

2. 14

Step-by-step explanation:

11, 18, 7, 14, 5, 16, 14. 18

Added Together it is 103.

Divided by 8, it is around 12.9

5, 7, 11, 14, 14, 16, 18, 18

Answer:

Step-by-step explanation:

Given data:

Mean is the average:

Put the data in the ascending order, the median is the average of the two middle numbers when number of data is even:

Answer:

Check picture

Step-by-step explanation:

9514 1404 393

Answer:

  1 1/2

Step-by-step explanation:

  \(\dfrac{4\dfrac{1}{8}}{2\dfrac{3}{4}}=\dfrac{\left(\dfrac{4\cdot8+1}{8}\right)}{\left(\dfrac{2\cdot4+3}{4}\right)}=\dfrac{\left(\dfrac{33}{8}\right)}{\left(\dfrac{11}{4}\right)}=\dfrac{\left(\dfrac{33}{8}\right)}{\left(\dfrac{22}{8}\right)}=\dfrac{33}{22}=\dfrac{3}{2}\)

Then the improper fraction 3/2 can be written as the mixed number 1 1/2.

  (4 1/8) / (2 3/4) = 1 1/2

_____

Comment on division of fractions

Fractions can be divided several ways. Two ways that are commonly taught are "invert and multiply", or "match denominators". Here, we have used the second of these methods.

If we were to "invert and multiply", the computation would be ...

  (33/8)(4/11) = (33/11)(4/8) = 3(1/2) = 3/2

Instead, we multiplied 11/4 by 2/2 to make it be 22/8, so having a denominator of 8 matching that of the numerator. Then the value of the compound fraction is the ratio of the numerators:

  (33/8)/(22/8) = 33/22 = (3/2)(11/11) = 3/2

The required equation that represent the hanger is 10 + 5x = 11 and the value of x is 1/5.

Given the diagram of the hanger which one side has 10 + 5x  and other side has 11.

To find the equation, equate the expression of one side to the numerical value of the other side. On solving the equation gives the value of x.

Thus, the equation is 10 + 5x = 11.

Consider the equation 10 + 5x = 11

On subtracting 10 from each side gives,

5x = 1

Divide each side by 5 gives,

x = 1/5.

Hence,  the required equation that represent the hanger is 10 + 5x = 11 and the value of x is 1/5.

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Answer:

62x49

Step-by-step explanation:

take away 16 from both sides

Answer:

Step-by-step explanation: the y would be 50

Answer:

Its normal value would be 50 beats per minute.

Step-by-step explanation:

20% = 10bpm

40% = 20bpm

60% = 30bpm

80% = 40bpm

100% = 50bpm

Answer:

10 and -5

Step-by-step explanation:

x + y = 5

xy = -50

y = 5 - x

x(5-x) = -50

5x - x^2 = -50

x^2 - 5x - 50 = 0

from there on we can solve the classic way

\(\Delta = (-5)^2 - 4\cdot1\cdot(-50) = 25 + 200 = 225\\\sqrt{\Delta} = 15\\x_1 = \frac{5 - 15}{2} = -5\\x_2 = \frac{5+15}{2} = 10\\y_1 = 5 - x_1 = 10\\y_2 = 5 - x_2 = -5\)

Everything checks out.

Answer:

-5 × 10 = -50

-5 + 10 = 5

brainliest

Answer:

12

Step-by-step explanation:

If f(x) = 5 - x

Then f(-7) = 5 - (-7)

f(-7) = 5 + 7

f(-7) = 12

Answer:

well just give it to him

i would yell lol!!

i yell alot lol...............

Answer:

a = x² + 3x - 40

Step-by-step explanation:

a = l * w

a = (x - 5)(x + 8)

a = x(x + 8) - 5(x + 8)

a = (x² + 8x) + (- 5x - 40)

a = x² + 3x - 40

Answer:

Step-by-step explanation:

Answer:

13 out of 16 (13/16)

Step-by-step explanation:

Add all of the items together.

5 stress balls + 3 notepads + 2 gift cards + 6 sticky notes = 16 items

So, now you have to find the probability out of 16.

Since there are 5 stress balls and 2 gift cards, there is a 5 out of 16 chance of passing out stress balls(5/16) and a 2 out 16 chance of handing out gift cards(2/16)

So, she has a 3 out 16 chance of handing out stress balls more than gift cards.

hope this helps and makes sense:)

So the equation is

Based on the information, it can be inferred that the area of the figure is 310 yards²

To calculate the surface area of this figure we must find the area of all the faces of the figure:

Then we must multiply the area of each face by the number of faces with that area.

Finally we must add the areas of the faces

According to the above, the total surface area of this figure is 310 yards ²

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Answer:

iddiduududjdhdhdjdhdjr

Answer:

the value of x that makes the equation true is x = 3.5.

Step-by-step explanation:

To find the value of x that makes the equation 18x + 5 - 3 = 65 true, we need to simplify the equation and solve for x.

Starting with the equation:

18x + 5 - 3 = 65

First, combine like terms:

18x + 2 = 65

Next, isolate the term with x by subtracting 2 from both sides:

18x = 65 - 2

18x = 63

Finally, divide both sides of the equation by 18 to solve for x:

x = 63 / 18

x = 3.5

Therefore, the value of x that makes the equation true is x = 3.5.

The answer is:

Steps & work :

First, I focus only on the left side.

Combine like terms:

\(\sf{18x+5-3=65}\)

\(\sf{18x+2=65}\)

Subtract 2 from each side:

\(\sf{18x=63}\)

Now, divide each side by 18:

\(\sf{x=\dfrac{63}{18}\)

Clearly, this fraction is not in its simplest terms, and we can divide the top and bottom by 9:

\(\sf{x=\dfrac{7}{2}}\)

\(\therefore\:\:\:\:\:\:\stackrel{\bf{answer}}{\boxed{\boxed{\tt{x=\frac{7}{2}}}}}}\)

Answer:

1.

the distance is 6 units

Explanation: you can just count the squares cince the line is straight and even if you use the Distance Formula... you'll get the same answer.

2.

A to B = 6 units

B to C = 4 units

C to D = 3 units

So...

6+4+3 = 13 units

3.

The distance between A to D is = 5 units

You can find the answer by using the Distance Formula.

Answer:

361/900

Step-by-step explanation:

First, multiply 0.6 by (-1/3) to get -0.2 which equals (-1/5).

Now the equation is \((-\frac{1}{6}-0.2+1 )^{2}\)

Next, solve the inside of the parenthesis \(-\frac{1}{6}-\frac{1}{5} +1 = \frac{19}{30}\)

Now the equation is \((\frac{19}{30})^{2}\)

Finally we square this to get the simplified fraction of \(\frac{361}{900}\)

If heteroskedasticity is present, the Ordinary Regression Analysis approximations are not the best linearly unbiased estimators.

Heteroskedastic describes a situation in which a regression model's residual term, or measurement error, variance fluctuates significantly. If this is the case, there may be a factor which can explain why it varies in a predictable manner.

When the variances of a predictor are heteroskedastic (or heteroscedastic), it signifies that the variability of the errors is indeed not constant across data. Particularly, estimated coefficients may influence the variability of the mistakes. Non-constant measures are those that are tracked over a range of independent variable values or in relation to earlier time periods.

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Answer:

0.7805 is a decimal and 78.05/100 or 78.05% is the percentage for 32/41.

Step-by-step explanation:

vwefgwegw

Answer:

6

Step-by-step explanation:

Formula :

Mean = sum of the terms

Number of terms

Sum of terms = 8+5+7+5+9+3+5

= 42

Number of terms = 7

Substitute the vales in the formula :

Mean = 42

7

= 6

Answer:

D) Acceleration is positive and increasing.​

Step-by-step explanation:

In formulae, acceleration is defined as the rate of change of velocity per unit time; for example:

\(a=\frac{v}{t}\)

where Δ V is the variation of velocity and Δ T is the variation in time.

The graph depicts the velocity of a moving item as a function of time. As we can see ΔV is the increment on the y-axis, while ΔT is the increment on the x axis: therefore, the ratio ΔV/ΔT is the curve's slope. In fact, the slope of the curve in a velocity-time graph corresponds to the object's acceleration. In this graph, we can see that the slope of the curve is growing, which means that the acceleration is positive (since the slope is positive and the velocity is increasing) and increasing (because the slope is increasing).

Answer:

\(\frac{12}{\sqrt{10} +\sqrt{7} +\sqrt{3} }=\frac{6\sqrt{147} +6\sqrt{63}-6\sqrt{210} }{21 }\)

Step-by-step explanation:

\(\frac{12}{\sqrt{10} +\sqrt{7} +\sqrt{3} }\)

\(=\frac{12\left( \sqrt{10} -\left( \sqrt{7} +\sqrt{3} \right) \right) }{(\sqrt{10}+(\sqrt{7} +\sqrt{3 } ))( \sqrt{10} -( \sqrt{7} +\sqrt{3}))}\)

\(=\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{\sqrt{10^2} -(\sqrt{7} +\sqrt{3})^2}\)

\(\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{10-(10+2\sqrt{21} )} }\)

\(=\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{-2\sqrt{21} }\)

\(=\frac{-6\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{\sqrt{21} }\)

\(=\frac{-6\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{\sqrt{21} } \times\frac{\sqrt{21} }{\sqrt{21} }\)

\(=\frac{-6\sqrt{21} \left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{21 }\)

\(=\frac{-6\sqrt{210} +6\sqrt{147} +6\sqrt{63} }{21 }\)

\(=\frac{6\sqrt{147} +6\sqrt{63}-6\sqrt{210} }{21 }\)

Remark:

You can simplify moreover if you want to.

The empirical rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.

It is a statistical calculation that provides a way of summarizing how much a set of values deviates from the mean, or average, of those values.

The standard deviation is calculated by first finding the difference between each value in the set and the mean, squaring these differences, summing the squares, and dividing by the number of values in the set. The square root of this result gives the standard deviation.

A low standard deviation indicates that the values in a set are closely clustered around the mean, while a high standard deviation indicates that the values are more spread out. The standard deviation is useful in many applications, including quality control, finance, and social sciences, as it provides a way to quantify the variability of a set of values and to make meaningful comparisons between different sets of data.

We can estimate the answer by using the cumulative distribution function (CDF) of the normal distribution. The CDF gives us the probability that a random variable is less than or equal to a certain value. We would need to use a calculator or software to determine the exact value of the CDF, but we can estimate it using the empirical rule.

Since approximately 68% of regular grade gasoline falls within one standard deviation of the mean, we can estimate that roughly 68% of gasoline is less than 83.75.

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By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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The curl of the vector function A is curl A = -3i + 5k, and ∮C A . dr = 288 √(29).

To find the curl of the vector function A, we will use the curl formula:

curl A = ∇ × A = ∇ × (2xy + 3zy + 5z)

Using the cross-product rule, we get the following:

curl A = (∂A/∂z - ∂A/∂y)i + (∂A/∂x - ∂A/∂z)j + (∂A/∂y - ∂A/∂x)k

Taking partial derivatives, we get:

curl A = (0 - 3)i + (0 - 0)j + (5 - 0)k

= -3i + 5k

Now we will verify both sides of Stokes' theorem on the open surface S and along C.

Stokes' theorem states that:

∮C A . dr = ∬S curl A . n dS

Where n is the surface's normal vector.

For the surface S, the normal vector is:

n = k

The curl of the vector function A is given as follows:

curl A = -3i + 5k

So, the integrand on the right side of Stokes' theorem is:

curl A . n = (-3i + 5k) . k = 5

The surface S is a rectangular region defined by -2 ≤ x ≤ 3, 4 ≤ y ≤ 6, and z = 4.

The surface area is:

dS = (6 - 4) × (3 - (-2)) = 4 × 5 = 20

So, the right side of Stokes' theorem becomes:

∬S curl A . n dS = 20 × 5 = 100

On the left side of Stokes' theorem, C is the boundary of the surface S, which is the rectangle defined by -2 ≤ x ≤ 3, 4 ≤ y = 6, and z = 4.

The boundary can be parameterized as follows:

r(t) = -2i + 4j + 4k + 5ti + 2tj, where 0 ≤ t ≤ 1

The length of C is:

dr = √(5^2 + 2^2)dt = √(29)dt

The vector A along C can be found by substituting x = -2 + 5t, y = 4 + 2t, and z = 4 into A:

A = 2(-2 + 5t)(4 + 2t) + 3(4)(4 + 2t) + 5(4)

= -20t + 40t^2 + 24 + 40 + 20

= 20t^2 + 84t + 84

The line integral along C becomes:

∮C A . dr = ∫_C 20t² + 84t + 84 √(29) dt

= ∫_0^1 (20t² + 84t + 84) √(29) dt

This line integral can be evaluated using the method of your choice, such as substitution or partial fraction decomposition.

The result is:

∮C A . dr = (20/3) √(29) + (84/√(29))(1) + 84 √(29)

= (20/3) √(29) + 84 √(29) + 84 √(29)

= 288 √(29)

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--The given question is incomplete; the complete question is

"You are given a vector function A and an open surface S bounded by C. Determine the curl of each vector function and verify both sides of Stokes's theorem on S and along C.

A = 2xy\(a_{x}\) + 3zy\(a_{y}\) + 5z\(a_{z}\)

S: -2 ≤ x ≤ 3, 4 ≤ y ≤ 6, z = 4"--

The length of the trail is equal to 3mi and the selling price of the item is equal to $120.

In mathematics, a ratio shows how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six. Similarly, the ratio of lemons to oranges is 6:8 and the ratio of oranges to the total amount of fruit is 8:14.

In this question, we have to use the ratio given to determine the length of the trail.

Given that the ratio is 5in : 2mi, we have to convert the values to uniform units.

\(1mi = 63360in\\2mi = x\\x = 126720\)

The ratio is now 5in : 126720in

Given that on the map, the length is 7.5in

\(5 = 126720\\7.5 = x\\x = 190080in\)

Let's convert this into mi.

\(190080in = 3mi\)

The actual length of the trail is 3in.

b)

To find the selling price of the item, let's use the percentage given to do that.

We can find 40% of 200 and then subtract the value from 200.

\(40\% of 200 = 0.4 * 200 = 80\)

The discount price is $80 and we can find the selling price here.

\(selling price = actual price - discount price\\selling price = 200 - 80\\selling price = 120\)

The selling price of the item is $120

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Step-by-step explanation:

First  calculate:  f (x+h) =   -3 (x+h)^2   + 5 ( x+h)     + 4     then expand :

               - 3x^2 -6 xh - 3 h^2   + 5x + 5h   + 4

Now subtract   f(x)     ....and divide the whole thing by h

                 [ -3x^2 - 6 xh - 3h^2 + 5x + 5h + 4  - ( -3x^2 + 5x +4) ]  / h

                          =   (- 6xh - 3h^2 + 5h   ) / h

                            =  -6x - 3h+ 5       <===== difference quotient

Answer:

-3(x + h)^2 + 5(x + h) + 4

-3(x^2 + 2xh + h^2) + 5(x + h) + 4

-3x^2 - 6xh - 3h^2 + 5x + 5h + 4

Now apply the Difference Quotient:

(-3x^2 - 6xh - 3h^2 + 5x + 5h + 4 - (-3x^2 + 5x + 4)) / h =

(-6xh - 3h^2 +5h) / h = -6x - 3h + 5

Answer:

A. 21

B. The age group that are 40

c. 2 participants

D. 33.3% ?

Step-by-step explanation:

Answer:

I think he should plot the point at (4, 2)

The attachment is a repost showing what I see if Jeff attaches the 3rd point to the listed points.