A special machine is used at a construction site to dig holes. A hole is dug to a depth of 4.75 feet when the machine hits rock. The progress slows to 3/5 feet per hour of digging. The depth of the hole must be at least 12 1/2 feet by the end of the day to stay on schedule.

What is the minimum amount of time the machine must continue at its present rate to complete the hole on schedule?

Select from the drop-down menus to correctly complete the statement.

The machine requires at least Choose... hours and Choose... minutes to complete the hole on schedule.

Chose #1: 18 28
Chose#2 9, 15, 45, 55

a) The taxes to be paid for someone with a taxable income of $39,000 are of: $4,680.

b) The piece-wise function is defined as follows:

c) The tax rates are used as the slope for each linear definition of the piece-wise functions, while the bounds of the intervals are used to calculate the intercept.

The amount of taxes owed is obtained applying the proportion of the tax rate relative to the annual salary.

The tax rate for a taxable income of $39,000 is of 12%, hence the amount is given as follows:

0.12 x 39000 = $4,680.

The piece-wise functions for this problem are all derived considering the intervals with the tax brackets,

For the first tax bracket, the proportion is merely applied, as follows:

0.1x, 0 ≤ x ≤ 10275;

For each bracket, starting on the second, the maximum tax rate of the previous rate is calculated, and added to the excess of the income relative to the maximum of the previous tax bracket multiplied by the proportion.

For the first tax bracket, the maximum income is of:

$10,275.

The maximum tax of the first tax bracket is of:

0.1 x 10275 = 1027.5. -> the maximum value of the nth bracket is the starting value of the nth+1 bracket.

Then the function for the second bracket rate is obtained as follows:

f(x) = 1027.5 + 0.12(x - 10275), 10276 ≤ x ≤ 41175.

The same procedure is applied to any of the remaining brackets, taking the previous bracket to obtain the function.

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When gathering data through a survey, companies can save money by surveying 100% of a population. False

Survey an activity in which many people are asked a question or a series of questions in order to gather information about what most people do or think about something.

Survey research has historically included large population-based data collection. The primary purpose of this type of survey research was to obtain information describing characteristics of a large sample of individuals of interest relatively quickly.

Therefore when gathering data through survey there is not 100% sure that companies can make alot of save.

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Answer:

translation down 2 and reflection across x axis

19.1 is the proportionality constant. It shows that Jack makes 19.1 dollars and cents for every hour he works.

Given that e = 19.1 may be used to represent the percentage between Jack's total wages in dollars and cents and the number of hours he works, h, the relationship between these two variables is one of proportionality.

We need to determine the constant of proportionality.

The constant of proportionality in the preceding equation, e = 19.1h, stands for the constant ratio between the total number of hours worked (h) and the total amount earned in dollars and cents (e).

The amount of money Jack makes for each hour he works is determined by this constant.

We can compare the provided equation with the formula for a proportional connection, which is: to determine the constant of proportionality.

e = k × h

Here, "k" represents the constant of proportionality.

We need to identify the value of "k" from the given equation e = 19.1h.

We can see by comparing the two equations that the proportionality constant, "k," is 19.1.

This indicates that Jack makes $19.1 for each hour that he works. The fixed rate of 19.1 (constant) represents the rise in his pay for each additional hour he works.

Hence, the constant of proportionality from the number of hours worked to total earnings is 19.1 dollars per hour.

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The number of cups of hot chocolate drink Nathan made is 12 cups.

According to the given information

number of milk cups 6 cups cooked by Nathan

4 cups of melted chocolate equals the number of cups.

Total number of creams = 1 PINT

Pint to cup conversion: 1 pint = 2 cups

Total number of cups of hot chocolate that were made by nathan

= Cups of milk heated + cups melted + number of cream

As a result, Nathan prepared 12 cups of hot chocolate.

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Answer:

The answer is y = 5x - 2

Step-by-step explanation:

Distribute 5 through the parentheses:

y - 3 = 5x - 5

Move the constant to the right-hand side and change its sign:

y = 5x - 5 + 3

Calculate the sum:

y = 5x - 2

The range of temperatures in the data stream and leaf is  given below.

Tempreture is the physical quantity that expresses quantitatively perception of hotness and coldness.

Combined

Mean:32.785714285714 or rounded 32.8

Median:29

Mode:25 and 29

Range:42

Minneapolis

Mean:28.857142857143 or rounded: 28.9

Median:25

Mode:None

Range:23

Columbus

Mean:36.714285714286 or rounded: 36.7

Median:29

Mode:29

Range:37

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1)  image of the coodinate A(6,2) be A'(-2,6)

image of the coodinate B(3,4) be B'(-4,3)

image of the coodinate C(2,8) be C'(-8,2)

2) A transformation that preserves congruence is called an isometry

3) A dilation would produce a similar figure.

What do you mean by transformation?

Transformation is a collective term for four specific ways of manipulating the shape and position of points, lines, or geometric figures. The original shape of the object is called the master, and the final shape and position of the object is the image under transformation. There are four types of transformations in mathematics

1) When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x).

Therefore, image of the coodinate A(6,2) be A'(-2,6)

image of the coodinate B(3,4) be B'(-4,3)

image of the coodinate C(2,8) be C'(-8,2)

2) A transformation that preserves congruence is called an isometry.  In other words, a transformation in which the Image and Pre-Image have the same side lengths and angle measurements. Translations, reflections, and rotations are isometries.

3) A dilation would produce a similar figure.

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The type of interference is this :

Comparing proportions from 2 independent samples

Given,

In the question:

Complete question is this:

Do upperclassmen (Seniors and Juniors) spend more money on alcoholic beverages then underclassmen (Freshman and Sophomores)? What type of inference is this?

a. Comparing proportions from 2 independent samples

b. One proportion

c. Comparing means from dependent samples

d. Comparing means from 2 independent samples

e. Comparing proportions from dependent samples

f. One mean

Now, According to the question:

Hence, The type of interference is this :

a. Comparing proportions from 2 independent samples

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Answer:

126+20+8h=250

Step-by-step explanation:

Andrew will have $251.91 in his account after 5 years, assuming he does not add or withdraw any money from the account and that interest is compounded semiannually at a rate of 2.9%.

The fee that a lender assesses on a borrower is known as the interest rate, which is expressed as a percentage of the principal, or the loaned amount. Usually, the annual percentage rate (APR), which is how loans' interest rates are expressed, is indicated (APR).

Once your loan is fully repaid, interest will have an impact on the overall cost you pay. For instance, if the interest rate on a $100 loan is 5%, you will have to pay the lender $105 in order to repay the money. $5 will be profit for the lender.

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The equation which represent the following problem is s = 200/5

Average speed of an object refers to the rate of total distance traveled by the total time taken.

Average speed, s = Total distance traveled, d / Total time taken, t

Average speed = Total distance traveled / Total time taken

= 200 miles / 5 hours

= 40 miles per hour

In conclusion, the situation can be represented by the equation s = 200/5

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The kicked football is an example of a projectile. The football's greatest height is 144 m.

A projectile is any object that is launched into space and moves under the influence of gravity and air resistance. A kicked football is a good example of a projectile. Given the height of the kicked football to be:h = -16t² + 96tThus, the height of the kicked football is a function of time taken. So that differentiating the equation of the height with respect to time, we have;0 = -32t + 9632t = 96t = [tex]\frac{96}{32}[/tex]  = 3

Thus the greatest height of the kicked football is attained when the time is 3 seconds.

Thus,h = -16t² + 96t   = -16 (3)² + 96 (3)   = -144 + 288h = 144

Therefore the football's greatest height is 144 m.

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1. ΔMLK ≅ ΔONK by AA similarity theorem.

2. The scale factor is 21/16 .

3. The distance across the lake is, LM ≈ 169.97 m.

The AA similarity theorem states that two triangles are similar to each other if we can show that they both have two congruent angles that are corresponding to each other.

1. In the image given, we have the following:

∠MLK ≅ ∠ONK because they are right angles

∠LKM ≅ ∠NKO based on the reflexive property of congruence.

Therefore, the similarity statement would be: ΔMLK ≅ ΔONK by AA.

2. The scale factor = (50 + 160) / 160 = 210/160 = 21/16

3. LM/NO = MK/OK

LM/129.5 = 210/160

LM = (210)(129.5)/160

LM ≈ 169.97 m

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To determine a mixture that will make the same shade of green but a smaller amount, we can divide both the yellow and blue amounts by the same number.

To solve this problem, we can use the principle of proportionality, which states that if two ratios are equal, then the quantities they represent are proportional.

A. To find a mixture that will make the same shade of green but a smaller amount, we can divide both the yellow and blue amounts by the same number. For example, if we divide both amounts by 2, we get 1 cup of yellow and 1.75 cups of blue. This will create a smaller amount of the same shade of green.

B. To find a mixture that will make the same shade of green but a bigger amount, we can multiply both the yellow and blue amounts by the same number. For example, if we multiply both amounts by 2, we get 4 cups of yellow and 7 cups of blue. This will create a larger amount of the same shade of green.

C. To find a mixture that will make a different shade of green that is bluer, we can increase the amount of blue relative to the amount of yellow. For example, we could use 2 cups of yellow and 4 cups of blue, which would create a green that is bluer than the original shade.

D. To find a mixture that will make a different shade of green that is more yellow, we can increase the amount of yellow relative to the amount of blue. For example, we could use 3 cups of yellow and 2 cups of blue, which would create a green that is more yellow than the original shade.

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Answer: y^7 - 8

Step-by-step explanation:

It is an algebra equation. It can't be factor or solve further!

Answer: the answer is 8

Step-by-step explanation:

The Answer is: 8

Simply divide 149 by the numbers you see,

The likelihood that every girl is on the same team is 1/252.

A probability is a numerical representation of the possibility or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Since the team's student lineup is not crucial, a mixture will be employed.

C(10,5) = 252 is the number of possible methods to choose 5 students from a class of 10.

Rest Team B will consist of 5 students. Consequently, there are 252 items in the sample space.

Let two women join team A. then the number of methods for choosing the final three members from the eight remaining members C(8,3) = 56

Likewise if two girls are in team B then possible number of different groups is 56.

Therefore total number of different groups such that two girls  are in one team is 56+56 = 112.

The required probability is

P(two girls  are in one team) = 112 / 252

Number of ways of selecting all girls in one team and boys in another team is 1. So required probability is

P( girls in one team) = 1/ 252

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Total 241 adult ticket and 220 student ticket are sold.

system of equations, orsimultaneous equations, In algebra, two or more equations to be solved together (i.e., the solution must satisfy all the equations in the system). For a system to have a unique solution, the number of equations must equal the number of unknowns.

a + s = 461       or    s = 461 -a

Value of student tickets sold = s × 3   = 3 × (461-a)

Value of adult ticket sold =  4 a              

Summed they total 1624

System of equations :

s = 461-a3 (461-a) + 4a

  = 16241383 -3a +4a

  = 1624a

  = 241    

then  s = 461 -a = 220 ticket

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Answer:

Should be 1/12

Step-by-step explanation:

7/30x5/14

Simply multiply the numerators and denominators separately:

5/14× 7/30 = 5 × 7/14 × 30 = 35/420

After reducing the fraction, the answer is

1/12

Answer: 30 wpm.

Step-by-step explanation:  

Do 225 divided by 7.5 and you get 30.

30 words in one minute.

Alicia want that 50 % of all people who visited one of the three coffee shops should visit her every week.

Total visitors to the other two coffee shops during one week = 840+1,220 i.e. 2,060

Total visits to Cool Beans should be 50 % of total visits i.e. equal to visits of the other two cafes combined

Visits to Cool Beans should be 2,060

Current Visits =548

Additional visits =2,060-548 i.e. 1,512 visits

Note for better understanding:

same or the demand of coffee will remain same, then the Additional people will be calculated as:

Total number of visits = 584+840+1,220  i.e. 2,608

Target number of visits =50 % of total visits i.e. 1,304 visit

Additional visits = 1,304-548 = 756 visits

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Answer:

ABC is the original

Step-by-step explanation:

The scale factor is 1/2 which means that the triangle would get 2 times smaller. Therefore, triangle ABC is the original because it is the bigger one.

Answer:

The Answer is 20 inches tall

The size of the subculture or group under studied determines the sampling size in ethnography. In this regard, it might not be possible to predetermine the participant count. The complete subculture or group being studied serves as the study sample size in anthropological research.

The non-random sample that best resembles stratified random sampling is quota sampling.

Using the non-probability sampling technique of quota sampling, researchers select a sample of people who are typical of the population. These people are chosen by researchers based on specific traits or qualities. In order to use market research samples for data collecting, they decide on and set sample quotas. These samples accurately reflect the entire population. The interviewer's or researcher's knowledge of the population will be the only factor used to select the final subgroup.

Probability sampling means that every member of the population has a chance of being selected.

There are four main types of probability sample.

Simple random sampling.

Systematic sampling.

Stratified sampling.

Cluster sampling.

For instance, a tobacco company would want to know which age group in a given city loves which brand of smokes. The age groups of 21–30, 31–40, 41–50, and 51+ are subject to survey quotas. Based on these findings, the researcher makes an estimation of the smoking trend in the city's inhabitants.

Therefore,

The size of the subculture or group under studied determines the sampling size in ethnography. In this regard, it might not be possible to predetermine the participant count. The complete subculture or group being studied serves as the study sample size in anthropological research.

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Answer:

The table below shows the distance in miles each of these cars traveled each hour. Let x be the number of hours Car #1 traveled before dropping out. Let y be ...

Step-by-step explanation

Answer:

Step-by-step explanation:

4x+7y=2.15

a dime is worth 10 cents each and because there are 4 dimes then there are 40 dimes. a quarter is worth 25 cents 4 quarters is a dollar, there are 7 quarters, minus 4, your left with 3 quarters so you have $1.75 of quarters but then you add .40 so now you have 2.15. So Santiago has $2.15 dollars.

x+y=2.15

For the 2nd question I think that it is asking a question and I think that this might be the answer but i'm not sure...if wrong I'm sorry.

Answer:

Radius is equal to 2.86 cm

Step-by-step explanation:

C = Perimeter = 18 cm

Perimeter of a circle = 2*PI*r

C = 2*pi*r

18 = (2)*(3.14)*r

18 = 6.28*r

r = 18/6.28

r = 2.86 cm

Answer:

6 sqrt(2)

Step-by-step explanation:

sqrt(50) + sqrt(2)

Rewrite sqrt(50) as sqrt(25*2)  = sqrt(25) * sqrt(2) = 5 sqrt(2)

5 sqrt(2) + sqrt(2)

6 sqrt(2)