2017, 1.20. 1ST
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A pole 5 feet tall is used to support a guy wire for a tower, which runs from the tower
to a metal stake in the ground. After placing the pole, Liam measures the distance
from the pole to the stake and from the pole to the tower, as shown in the diagram
below. Find the length of the guy wire, to the nearest foot.
Spr
Answer:
(Diagram is not to scale.)
5 ft
9 ft-
4 ft
ft
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Answer:

Step-by-step explanation:

Answer:

To solve the inequality |h + 3| < 5, we need to consider two cases, depending on whether the expression inside the absolute value bars is positive or negative:

Case 1: h + 3 >= 0

If h + 3 >= 0, then we can remove the absolute value bars without changing the inequality:

h + 3 < 5

Subtracting 3 from both sides, we get:

h < 2

So the solution for this case is h < 2.

Case 2: h + 3 < 0

If h + 3 < 0, then the inequality becomes:

-(h + 3) < 5

Multiplying both sides by -1 (and reversing the inequality), we get:

h + 3 > -5

Subtracting 3 from both sides, we get:

h > -8

So the solution for this case is h > -8.

Putting these two solutions together, we have:

-8 < h < 2

Therefore, the solution set in set-builder notation is:

{h | -8 < h < 2}

Answer:

The mean is 190

Step-by-step explanation:

To solve this problem you need to add up the 3 weights (160,215 and 195) after doing so you should get 570 then to get the mean divide 570 by 3.

The geometric mean of two numbers is the square root of their product. Hence, the geometric mean 'a' of 2 and 1/4 is approximately equal to 0.70710678118.

Recall that the geometric mean of two numbers is the square root of their product. This means that we need to multiply the two numbers (2 and 1/4) and then take the square root of the result.

Multiply 2 and 1/4:

2 × 1/4 = 1/2

Take the square root of the result:

a = √(1/2)

Simplify the square root:

a = √(1/2) = √(1)/√(2) = 1/√(2)

Rationalize the denominator by multiplying the top and bottom by √(2):

a = (1/√(2)) × (√(2)/√(2)) = √(2)/2

Approximate the result to a desired level of accuracy, if necessary. In this case, rounding to 11 decimal places gives:

a ≈ 0.70710678118

Therefore, the geometric mean 'a' of 2 and 1/4 is approximately equal to 0.70710678118

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The option that is not available to Jacob is: He can purchase the computer now using his debit card, even though he does not have enough money in his bank account to cover the cost.

Using a debit card requires that there are sufficient funds in the linked bank account to cover the transaction. If there is not enough money available, the transaction will be declined. Therefore, Jacob cannot purchase the computer using his debit card unless he has enough funds in his account. The other options, including saving up to purchase the computer with cash, using a credit card, or putting more money in his bank account to use his debit card at a later date, are all valid options for Jacob.

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Converting a 941 Schedule B can be broken down into a few simple steps are include the employee's names, Social Security numbers, and total wages paid during the pay period.

First, you'll need to gather all the necessary information required for the conversion process.

Once you have this information, you'll need to calculate the total amount of taxes withheld from each employee's paycheck. This is where mathematical calculations come into play. To calculate the tax withheld, you'll need to use the tax withholding tables provided by the IRS.

These tables will help you determine how much tax to withhold based on each employee's income and filing status. The total amount of tax withheld from each employee's paycheck is then added up to get the total amount of tax withheld for the entire pay period.

Finally, you'll need to transfer this information onto the 941 Schedule B. This document is used to report the total amount of tax withheld for each pay period, and it's essential that the information is accurate.

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If the p-value is less than the chosen level of significance (usually 0.05), then the null hypothesis would be rejected in favor of the alternative hypothesis.

What is null hypothesis ?

A null hypothesis is a statement or assumption that there is no significant difference between two groups or no significant relationship between two variables.

The appropriate null hypothesis for this study would be that there is no significant linear relationship between time spent meditating and time spent studying. Symbolically, this can be written as:

H0: There is no significant correlation between time spent meditating and time spent studying.

The alternative hypothesis, in this case, would be that there is a significant linear relationship between the two variables, which is represented as:

Ha: There is a significant correlation between time spent meditating and time spent studying.

To test this hypothesis, the researcher could conduct a correlation analysis using statistical software, which would provide a correlation coefficient and a p-value.

Therefore,  If the p-value is less than the chosen level of significance (usually 0.05), then the null hypothesis would be rejected in favor of the alternative hypothesis.

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Limiting reagent calculator provides you the most reliable results in a fraction of seconds without any error that arises in the manual calculation.

A limiting reactant calculator online is a tool used to calculate the amount of reactant needed to produce a specific product. The calculator helps you determine the limiting reactant in a chemical reaction, which is the reactant that will be completely consumed in the reaction.

It does this by calculating the amount of reactant needed to produce the desired amount of product. Once the limiting reactant is known, the amount of excess reactant can be determined.

This calculator can be used to optimize chemical reactions, helping to maximize the amount of product produced while minimizing the amount of reactants used. This can help reduce costs and material waste.

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Increasing the concentration of reactants typically increases the reaction rate

What is the rate of reaction?

The rate of the reaction indicates the speed with which the reaction is completed or product is formed.

Increasing the concentration of reactants typically increases the reaction rate because it increases the frequency of collisions between the reactant molecules.

In a chemical reaction, the reactant molecules must collide with each other with sufficient energy and proper orientation for the reaction to occur. If the concentration of reactants is low, there will be fewer reactant molecules present in a given volume, and therefore, fewer collisions will occur. As a result, the reaction rate will be slower.

On the other hand, if the concentration of reactants is high, there will be more reactant molecules present in a given volume, and therefore, more collisions will occur. This increased frequency of collisions leads to a higher probability that reactant molecules will have sufficient energy and proper orientation to react, and thus, the reaction rate will be faster.

It's important to note that increasing the concentration of reactants will only increase the reaction rate up to a certain point. Beyond a certain concentration, the reaction rate will not increase further, as the reactant molecules will already be colliding with each other at a high enough frequency to produce the maximum possible reaction rate.

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The possible value of x are + √15 and - √15

Angles who are of same measurement are called congruent.

Suppose that two angles ∠A and ∠B are of same measure, then

[tex]m\angle A = m\angle B[/tex]

is the notation to say that they are of same measurement, where the small m shows that its the measurement of the angles they're preceding.

Then the congruency between them as;

[tex]\angle A \cong \angle B[/tex]

angle EAB  = 2x² + x

angle EDA =  x + 30

Here we can see the angle EAB and angle EDA are equal

So,

2x² + x = x + 30

2x² + x - x = 30

2x² =  30

x² = 15

x =±√15

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The expected temperature on February 15 would be 77.72 °F.

Temperature is a physical quantity that expresses quantitatively the perceptions of hotness and coldness.

Given is that the average daily temperature in Peoria, Illinois, can be predicted using the formula T = 50 - 28cos[2π(x−31)365], where {x} is the number of the day in the year.

The value of {x} for February 15 would be -

{x} = 46

So, we can write the temperature as -

T{46} = 50 - 28 cos[2π(46−31)365]

T{46} = 50 - 28 cos[2π x 15 x 365]

T{46} = 50 - 28 cos[2π x 15 x 365]

T{46} = 50 - 28 cos[34383]

T{46} = 50 - 28 x -0.99

T{46} = 77.72

Therefore, the expected temperature on February 15 would be 77.72 °F.

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Answer:

Based on the given information, the value of the stock is 1.75 less than the original value since the plotted value is located 1.75 units to the left of the 0 mark. Therefore, the correct statement is: "The stock is 1.75 less than the original value, and the absolute value is 1.75."

Answer: 5:50 PM

Step-by-step explanation:

5:15 PM + 0:35 minutes = 5:50 PM

Answer:

87.92 m

Step-by-step explanation:

Circumference = pi*diameter

3.14*28m = 87.92 m

The y-intercept of the graph of this line is equal to 1.

Mathematically, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

In Mathematics, the y-intercept is sometimes referred to as an initial value and the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).

In this context, we can logically deduce that the y-intercept as shown in the image attached below is at point (0, 1).

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Answer:-4x - 80z

10x^2=100-10z=90z  -2x^2=4x-10z-90z

                                                   -90z

                                                    =--4x80z

The factor tree shows how 216 can be factored into its prime factors.

216 = [tex]2^3 \times 3^3[/tex]

In order to construct a factor tree for 216, we first identify any two of its components before further decomposing those factors into other factors until we arrive at the prime factorization. One potential factor tree for 216 is shown below:

   216

    /   \

   6    36

  / \    / \

 2   3  6   6

    / \    / \

   1   3  2   3

Beginning with 216, we can see that it can be divided into two components of 6 and 36, making it divisible by 6. These factors are then further dissected until their prime factorizations are reached, which are:

6 = 2 x 3

36 = 2 x 2 x 3 x 3

We obtain the prime factorization of 216 by combining these prime factors:

216 = 2 x 2 x 2 x 3 x 3x 3

216 = [tex]2^3 \times 3^3[/tex].

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Answer: 2 trapezoids

Step-by-step explanation: so 1 trapezoid has the same angles and edges as a hexagon, you get 2 and put them together 1 upside one one forward side up, it makes a hexagon

To draw the different views of this figure we must simulate its rotation to see it from different angles. In the attached image are the different views.

To draw the different views of this figure we must take into account its shape. In this case we have a figure made up of four squares. Three of them are aligned and one of them is in the middle zone.

According to the above, to draw the views we must simulate rotations of this figure to establish its views. In the attached image are the views. In the top view you would only see two squares, in the front view you would see three squares and in the side view you would see all four squares.

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On converting the weight of 140 lbs to Kilogram , we get that 140 lbs is equivalent to 63.49 Kg .

The Conversion Factors is used to convert the weight between pounds and kilograms. that means :  To convert 1 pound to kilograms , We multiply the number of pounds by 0.4535  .

In this case , we have to convert 140 pounds to kilograms ;

So , we multiply the given weight in pounds with 0.4535 .

On multiplying ,

We get ;

⇒ 140 pounds = 140 × 0.4535 Kg ;

⇒ 140 pounds = 63.49 Kg .

Therefore , 140 lbs is approximately equal to 63.49 Kg .

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Answer:

t= -3r

Step-by-step explanation:

Answer:

[tex]\frac{9(7-\sqrt{2}) }{47}[/tex]

Step-by-step explanation:

The superposition is the imposing of one wave on the other and resulting in the change of the amplitude of the final wave.

When two or more waves travel through the same space in superposition, their combined amplitudes equal the amplitudes they would have produced individually. For instance, two waves moving in the same direction will pass through each other without causing any distortion on the other side.

The pattern you see when shining light through two slits, the sounds you hear in acoustically sound rooms and music halls, the interference radios receive when moved close to other electronic devices, and any tone produced by a musical instrument are all examples of the superposition principle in action.

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The value of 15 percent after converted into decimal is given by 0.15.

Convert percent into decimal :

One percent represents the one part by converting it into hundred equal parts.

⇒ 1 percent = ( 1 / 100 ) part

⇒ 1 percent = ( 0.01 ) in decimals

Substitute the value of 15 percent to get it into decimals we get,

⇒ 15 percent = ( 15 ) × ( 0.01 ) in decimals

⇒ 15 percent = ( 15 × 0.01 ) decimals

⇒ 15 percent = ( 0.15 ) decimals

Therefore, after converting 15 percent into decimals it is equal to 0.15.

The above question is incomplete , the complete question is :

What is 15 percent in a decimal ?

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A danger that is associated with using extrapolation when making predictions is assuming that the underlying patterns will continue into the future.

One danger of using extrapolation when making predictions is that it assumes that the underlying patterns observed in the data will continue into the future.

However, there may be external factors or other variables that are not accounted for in the data that could cause the patterns to change or break down. For example, if there is a major economic or political event that affects the housing market, the trend observed in previous data may not hold up in the future.

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Answer:

100-0.095x

Step-by-step explanation:

The area of the carpet is [tex]2 7/20[/tex] square meters.

The size of a patch on a surface is determined by its area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

To find the area of the carpet, we need to multiply its length by its width.

The mixed numbers must first be transformed into improper fractions:

Length: 21/4 = 9/4

Width: 11/5 = 6/5

Then we can multiply:

Area = length x width

Area = (9/4) x (6/5)

Area = 54/20 or 27/20 square meters

Therefore, the area of the carpet is 27/20 square meters.

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Answer:

The builder has 28,200m^2 left to build the houses.

Step-by-step explanation:

For the roads,

They are 3m wide and they stretch 200m.

We must find the area for one road and multiply by three.

Area = Length * Width

Area = 200m * 3m

Area = 600m^2

600 * 3 = 1800m^2

1800m^2 is taken up by the three roads.

Next, we must find the total area of the field.

Area = Length * Width

Area = 200m * 150m

Area = 30,000m^2

30,000m^2 is the total area of the field, and we need to subtract the area the roads take up to determine the area left for the houses.

30,000m^2 - 1800m^2 = 28,200m^2

The builder has 28,200m^2 left to build the houses.

Answer:

The builder has 28,200m^2 left to build the houses.Step-by-step explanation:For the roads,They are 3m wide and they stretch 200m.We must find the area for one road and multiply by three.Area = Length * WidthArea = 200m * 3mArea = 600m^2600 * 3 = 1800m^21800m^2 is taken up by the three roads.Next, we must find the total area of the field.Area = Length * WidthArea = 200m * 150mArea = 30,000m^230,000m^2 is the total area of the field, and we need to subtract the area the roads take up to determine the area left for the houses.30,000m^2 - 1800m^2 = 28,200m^2The builder has 28,200m^2 left to build the houses.

Step-by-step explanation: hope this helps0^0

The exponential function that defines the number of teams remaining after n rounds is given as follows:

y = 64(0.5)^x, 0 ≤ x ≤ 6.

The standard definition of an exponential function is given as follows:

y = a(b)^x + c.

In which:

The initial number of teams is of 64, hence the parameter a is given as follows:

a = 64.

Each round, the number of teams is cut by half, as the losers of each game are eliminated, hence the parameter b is given as follows:

b = 0.5.

Hence the function is defined as follows:

y = 64(0.5)^x.

The domain is 0 ≤ x ≤ 6 as:

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3/8 in a decimal, divide the denominator by the numerator to get 3/8 as a decimal 3/8 is 0.375.

We divide the numerator by the denominator to convert a fraction to a decimal number. This results in a decimal value because, when dividing, we add the decimal place and then add the necessary number of zeros to finish the division.

3/8

3[1/2 x 1/2 x 1/2]

3[0.5 x 0.5 x 0.5]

3 x 0.125

0.375

To convert a fraction to a decimal, all you have to do is divide the numerator by the denominator. We position the number over its place value when converting a decimal to a fraction.

Just dividing the numerator by the denominator is all that is required to convert a fraction to a decimal.

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