calcule abc + bca+cab (a + b + c) =225

The coin purse hit the ground in 3 seconds.

Given :

\($\mathrm{f}(\mathrm{t})=16 \mathrm{t}^2$\) ----- (represent the distance(in feet) a dropped object falls in t seconds)

\($\mathrm{g}(\mathrm{t})=\mathrm{s}_0=144 \mathrm{ft}$\) ------ (represent the initial height (in feet) of the coin purse)

The function that represents the distance a dropped coin purse falls in t seconds,

\($f(t)=144-16 t^2$\)

When the coin purse touches the ground,

\($f(t)=0$\)

\($0=144-16 t^2$\)

\($t^2=\frac{144}{16}=9$\)

t = +3 and t = -3

So we take positive t.

Therefore, the coin purse hit the ground in 3 seconds.

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Determining where to shade when solving a system of inequalities involves graphing each inequality separately, identifying the shaded regions based on test points, and determining the overlapping region as the solution to the system. Remember to follow the rules for graphing and shading inequalities accurately.

When solving a system of inequalities, determining where to shade involves identifying the regions that satisfy the given inequalities. Here are the steps to determine the shaded region:

1. Graph each inequality separately on a coordinate plane. Treat each inequality as an equation and plot the corresponding line or curve. Remember to use a dashed line for strict inequalities (less than or greater than) and a solid line for non-strict inequalities (less than or equal to, greater than or equal to).

2. Identify the shaded region for each inequality. To do this, choose a test point within each region (usually the origin (0,0) is a convenient choice) and substitute its coordinates into the inequality. If the inequality is true, shade the region that contains the test point. If it is false, shade the other region. Repeat this process for each inequality.

3. Determine the overlapping region. If there is a region where the shaded regions of all the inequalities overlap, this represents the solution to the system of inequalities. Shade this region accordingly. If there is no overlapping region, then there is no solution to the system.

It's important to note that the solution to a system of inequalities is typically represented by shading a region, not a single point. This is because there are often infinite solutions that satisfy the system.

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The equation that represent the relationship of the coffees is 3x + 5y = 68.

At a coffee shop, two sizes of coffee are sold. A medium coffee costs $3, and a large coffee costs $5.

The equation that represent the relationship between the number of medium coffees sold, x, and the number of large coffees sold, y, in an hour where sales totalled $68 is as follows:

where

Therefore, the equation is as follows:

3x + 5y = 68

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Answer:

It is always 12 times the number of years.

Step-by-step explanation:

12 months in 1 year, 12:1

24 months in 2 years, 24:2

36 months in 3 years 36:3

and so on

Answer:

$9

Step-by-step explanation:

'Jonathan and 5 friends' would equal 6 people paying

Since the total amount was 54 dollars, the equation will be:

$54 ÷ 6 friends

54 divided by 6 is $9

Check:

6 x 9 = 54

Answer:

The correct option is AAS.

Step-by-step explanation:

Consider the diagram below.

If two angles are congruent it implies that they are same in degrees or radians.

So, the angles ∠XWZ and ∠XYZ are equal.

So, in the diagram below, one of the triangles have two angles that are equal to the corresponding angles on the other triangle and the two triangles share a side.

Then according to the Angle-Angle-Side (AAS) statement the triangles △ WXZ and △ YZX are congruent.

Thus, the correct option is AAS.

The congruence theorem that can be used to prove that △WXZ ≅ △YZX is; AAS

ΔWXZ and ΔYZX share side XZ

∠WXZ and ∠XZY are right angles

∠XWZ and ∠XYZ are congruent

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Answer:

D. \(\frac{(x-7)^2}{8^2} -\frac{(y-2)^2}{7^2}\)

Step-by-step explanation:

hope this helps

Answer:  D has the largest perimeter

Step-by-step explanation:

The top numbers of fractions describe the vertex and  the bottom number square rooted tells you how long each or wide each part of the asymptote rectangle is.

A.

P = 2(11) + 2(3)

P = 22+6

P=28

B.

P = 2(4) + 2(9)

p = 8 +18

P = 26

C.

P = 2(5) + 2(9)

P = 10 +18

P = 28

D.

P =  2(8) + 2(7)

P = 16 +14

P = 30

The area of the figure given, which seems to have two semi - circles removed, is 85. 71 cm ²

The area of the figure can be found by finding the area of the rectangle and then subtracting the area of the two semicircles.

The area of the rectangle is :

= 17 x 8

= 136 cm ²

The area of the two semi circles is :

= ( π x radius ² x 2 semicircles ) x 1 / 2 circle

= π x 4 ² x 2 x 1 / 2

= 50. 29 cm ²

The area of the figure is:

= 136 - 50. 29

= 85. 71 cm ²

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The recent study says 24% wage gap between nonmetropolitan and metropolitan workers can be attributed to differences in job opportunities, education and skill levels, cost of living, and economic development.

According to a recent study, the median earnings of nonmetropolitan workers in the United States was 24% less than the median earnings of metropolitan workers.

The most likely explanation for this phenomenon can be attributed to several factors.
1. Job opportunities: Metropolitan areas tend to have a higher concentration of job opportunities, particularly in higher-paying industries such as finance, technology, and professional services.

In contrast, nonmetropolitan areas often have fewer job options and may be dominated by lower-paying industries such as agriculture, retail, and hospitality.
2. Education and skill levels: Metropolitan areas generally have a larger pool of highly educated and skilled workers, which can lead to higher salaries.

Nonmetropolitan areas may have lower levels of education and skill among the workforce, which can result in lower earnings.
3. Cost of living: The cost of living is generally higher in metropolitan areas, which can lead to higher salaries to offset these expenses.

In nonmetropolitan areas, the cost of living is typically lower, which can result in lower wages as employers do not need to pay as much to maintain a reasonable standard of living for their workers.
4. Economic development: Metropolitan areas tend to have more robust economies with higher levels of economic development.

This can create a more competitive job market, which can lead to higher salaries for workers. Nonmetropolitan areas often have less economic development, which can result in fewer high-paying jobs and lower wages overall.
In summary, the 24% wage gap between nonmetropolitan and metropolitan workers can be attributed to differences in job opportunities, education and skill levels, cost of living, and economic development.

These factors contribute to the higher median earnings of metropolitan workers compared to their nonmetropolitan counterparts.

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The pooled mean standard error is a measure of the variability associated with the difference between two group means in a statistical hypothesis test with equal variances.

The pooled mean standard error is a measure of the variability or uncertainty associated with the difference between two group means in a statistical hypothesis test, where the two groups have equal variances. Specifically, it is the standard error of the difference between the means of two independent samples, calculated by combining the standard errors of the two sample means into a single estimate.

The formula for the pooled mean standard error is:

SEp = \(\sqrt{ [ (s1^2/n1) + (s2^2/n2) ]}\)

where SEp is the pooled mean standard error, s1 and s2 are the standard deviations of the two samples, n1 and n2 are the sample sizes, and sqrt represents the square root function.

The pooled mean standard error is used in the calculation of the t-statistic in a two-sample t-test, which is used to test the hypothesis that there is a significant difference between the means of the two groups. By accounting for the variability of both groups, the pooled mean standard error provides a more accurate estimate of the standard error of the difference between the means, which in turn allows for more precise hypothesis testing.

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The median of a trapezoid is parallel to the bases and equal in length to the average of their lengths. This is due to the midpoint theorem and the definition of the average.

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Answer:

16,800 Liters

Step-by-step explanation:

Convert 3/4 into eighths, because it was already 1/8 full before the 10,500 liters were added:

3/4= 6/8

Subtract 1/8 from that (because it was already 1/8 full):

6/8-1/8= 5/8

Divide 10,500 by the 5 (because you want how many liters each part is):

10,500/5= 2,100

You know can say that every eighth is 2,100 Liters of water.

Multiply that by the 8 total parts it can hold:

2,100x8= 16,800 Liters

Answer:

16800

Step-by-step explanation:

1/8 ÷ 3/4 × 10500/1

1/8 × 4/3 × 10500/1

1/5× 10500/1

= 2100× 8

= 16800

The 99% confidence interval is, ( 314 , 358 )

Given that,

sample mean =  x = 334

sample standard deviation = s = 33

sample size = n = 16

Degrees of freedom = df = n - 1 = 16-1 = 15

At 99% confidence level the t is ,

α = 1 - 99% = 1 - 0.99 = 0.01

α / 2 = 0.01 / 2 = 0.005

t_α /2,df = t0.005,15 = 2.9467

Margin of error = E = t_α/2,df * (s /√n)

                              = 2.9467 * (33 / √16)

Margin of error = E = 24

The 99% confidence interval estimate of the population mean is,

x - E <u< x + E

334 - 24 < u < 334 + 24

310 < u < 358

so, we get,

The 99% confidence interval is,

( 314 , 358 )

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Answer:

C. : 5t

--

Once we find out the number of tables at the reception, we can then multiply the number of tables to 5t.

Answer:

the slope is 5. 5/1

Step-by-step explanation:

Use rise over run to find slope. It is the easiest way to find slope

You rise 5 and 1 to the right

Answer:

The slope is 5

Step-by-step explanation:

So you're just trying to find the slop. We're going to choose 2 points to use which are already marked on the graph.

(0, 2) and (-1, -3)

So to find the slope, we have to find (the difference in y) / (the difference in x)

So we're going to do

-3-2/-1-0

Which is

-5/-1

So since there are two negatives, it become positive, and it'll simplify into 5.

So the slope of the line is 5

The value of x for the congruent sides is determined as 12.

The value of x in the given expression is calculated by applying the following formula.

From the given diagram, we have line AB congruent to line AD;

AB ≅ AD

So we will have the following equation;

15x + 4 = 2x + 160

The value of x is calculated as;

15x - 2x = 160 - 4

13x = 156

x = 156/13

x = 12

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To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with a probability of only 1% (i.e., the worst-case loss that will occur with a 1% chance).

Given that there is a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can express this as:

Loss Amount | Probability

$10 million | 0.5%

$1 million | 99.5%

To calculate the VaR, we need to find the loss amount that corresponds to the 1% probability threshold. Since the loss of $10 million has a probability of 0.5%, it is less likely to occur than the 1% threshold. Therefore, we can ignore the $10 million loss in this calculation.

The loss of $1 million has a probability of 99.5%, which is higher than the 1% threshold. This means that there is a 1% chance of the loss exceeding $1 million.

Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1 million.

The Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.

To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with only a 1% chance.

Given that the investment has a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can calculate the VaR as follows:

VaR = (Probability of Loss of $10 million * Amount of Loss of $10 million) + (Probability of Loss of $1 million * Amount of Loss of $1 million)

VaR = (0.005 * $10,000,000) + (0.995 * $1,000,000)

VaR = $50,000 + $995,000

VaR = $1,045,000

Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.

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Answer:

x = -4

Step-by-step explanation:

The correct representations of the inequality are:

C. -6x + 15 < 10 - 5x

D. the graph that has an open circle that starts at 5 with a solid line extending to the right.

If the inequality sign involved is "< or >" the circle on the number line where the line that marks the solution starts will be an open circle. If the inequality sign is "≤ or ≥" is used, a closed or shaded circle is used.

Given the inequality, –3(2x – 5) < 5(2 – x), solve as follows:

–3(2x – 5) < 5(2 – x)

Apply the distributive property

-6x + 15 < 10 - 5x

Combine like terms

-6x + 5x < 10 - 15

-x < -5

x > 5

The graph of this inequality will show an open circle that starts at 5 and a bold line pointing to the right side from 5.

Therefore, the correct representations are options C and D.

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Answer:

Step-by-step explanation:

Dont do it. Just take the detention

The ratio of phones to people is 83 : 50.

What is mean by Ratio?

A Ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.

Given that;

Number of telephones = 166

Number of people = 100

Now, The ratio of phones to people = 166 : 100

After simplify,

The ratio of phones to people = 166 : 100

                                               = 83 : 50

Hence, The ratio of phones to people is 83 : 50.

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If a line went through a point of 2,5 and the slope of 5/3 what is y-value of the point

Given the gluten ratio of 13 mg/L in the food, the gluten ratio is micrograms per milliliter can be shown as 13 μg/mL.

In the question, we are given that a certain food has a gluten ratio of 13 mg/L.

We are asked to find the gluten ratio in micrograms per milliliter.

We know the conversion rates:

1 milligram (mg) = 1000 micrograms (μg).

1 Liter (L) = 1000 milliliters (mL).

Applying these conversion rates to the given gluten ratio for the food, we get:

13 mg/L

= 13 (1 mg)/(1 L)

= 13 (1000 μg)/(1000 mL)

=  13 μg/mL.

Thus, given the gluten ratio of 13 mg/L in the food, the gluten ratio is micrograms per milliliter can be shown as 13 μg/mL.

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So i think you gotta see where the point is ay and if it isnt rig

We have the following:

solving for x:

Therefore, the answer is 12, because it is a number greater than 9 and it is not in the interval

Answer:

(answer below)

Step-by-step explanation:

3 - 2

4 - 3

5 - 4

6 - 5

The amplitude is 3

for a sine graph, the amplitude is the distance up or down from the midway point. The equation to find the amplitude is (max-min) / 2.

(3 - (-3)) / 2 = 3

Answer:

3:4

Step-by-step explanation:

We know this because the GCD of 21 and 28 is 7

so we divide both numbers by 7 and get 3 and 4

so the answer is 3:4