Marcus and Tony work for​ Lombardo's Pipe and Concrete. Mr. Lombardo is preparing an estimate for a customer. He knows that Marcus lays a slab of concrete in 3 hours. Tony lays the same size slab in 2 hours. If both work on the job and the cost of labor is $48.00 per​ hour, decide what the labor estimate should be.

No, because 3n could be equal to or less than n + 3 (option D)

To determine the correct option, we test with different numbers

let n = -3, -1, 0, 3, 4

From the above, we can see that depending on the value of n, 3n can be greater than or less than n + 3.

No, because 3n could be equal to or less than n + 3 (option D)

The answer is D: no, because 3n could be equal to or less than n + 3. Hope this helps! :)

Answer:

B choice

Step-by-step explanation:

Function is a set of ordered pairs where x-values in a set cannot be the same.

Examples

{(-1,0),(1,3),(2,0),(3,4)}

The set above is a function because there are no same x-values.

{(2,1),(2,5),(3,9),(4,7),(6,9)}

The set above is not a function because in a set, there are two same x-values which are x = 2 from (2,1) and (2,5)

From A choice, there are same -3's which makes it not a function.

From C choice, there are same 0's which makes it not a function.

From D choice, there are same -12's which makes it not a function.

The correct answer is B because there are no same x-values in a set.

Answer:

7 feet long

Step-by-step explanation:

This set up will give a right angle triangle where;

Length of the ladder is the hypotenuse = x

The distance of the ladder to the house is the adjacent = 3 feet

Angle of elevation theta = 72 degrees

Using the CAH in trigonometry identity;

cos theta = adjacent/hypotenuse

cos 72 = 3/hyp

hyp = 3/cos72

hyp = 3/0.4258

hyp = 7.05 feet

Hence the ladder is approximately 7 feet long

To negate the statement "Prices are high if and only if supply is low and demand is high," you would say:

"Prices are not high if and only if either supply is not low or demand is not high."

we are asserting that it is not necessarily true that high prices only occur when supply is low and demand is high. It allows for the possibility that high prices can happen under different circumstances, such as when supply is not low or demand is not high.

These words are very true. In job markets, prices are determined by supply and demand. When the demand for a particular quality or service for their products is high, prices will rise. Conversely, prices will fall when supply exceeds demand.

So if a product is in short supply, the price will be higher because consumers are willing to pay more for that product.

On the other hand, if there is a shortage of products, prices will be low because producers will have to lower their prices to attract buyers.

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Answer:

The results showed that students who took notes by hand scored higher on conceptual questions

Step-by-step explanation:

Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.

Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.

According to the given information, we can form two equations:

Lucy has $7 less than Kristine: L = K - 7

Lucy has $5 more than Nina: L = N + 5

We also know that the three of them have a total of $35: K + L + N = 35

We can solve this system of equations to find the values of K, L, and N.

Substituting equation 1 into equation 3, we get:

K + (K - 7) + N = 35

2K - 7 + N = 35

Substituting equation 2 into the above equation, we get:

2K - 7 + (L - 5) = 35

2K + L - 12 = 35

Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:

2K + (K - 7) - 12 = 35

3K - 19 = 35

Adding 19 to both sides:

3K = 54

Dividing both sides by 3:

K = 18

Now we can substitute the value of K into equation 1 to find L:

L = K - 7

L = 18 - 7

L = 11

Finally, we can find the value of N by substituting the values of K and L into equation 3:

K + L + N = 35

18 + 11 + N = 35

N = 35 - 18 - 11

N = 6

Therefore, Lucy has $11.

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Answer:

I think the answer is collinear

To find the union and intersection of the intervals I₁ = (-2, 2] and I₂ = [1, 5), let’s consider the overlapping values and the combined range.

The union of two intervals includes all the values that belong to either interval. Taking the union of I₁ and I₂, we have:

I₁ U I₂ = (-2, 2] U [1, 5)

To find the union, we combine the intervals while considering their overlapping points:

I₁ U I₂ = (-2, 2] U [1, 5)
= (-2, 2] U [1, 5)

So the union of the intervals I₁ and I₂ is (-2, 2] U [1, 5).

Now let’s find the intersection of the intervals I₁ and I₂, which includes the values that are common to both intervals:

I₁ ∩ I₂ = (-2, 2] ∩ [1, 5)

To find the intersection, we consider the overlapping range between the two intervals:

I₁ ∩ I₂ = [1, 2]

Therefore, the intersection of the intervals I₁ and I₂ is [1, 2].


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The formula to calculate the volume of the brick is given to be:

We have the following dimensions, converted to meters, as follows:

Therefore, the volume is:

Answer:

Step-by-step explanation:

The dimension of the basis is {[1 0 0 2], [-1 1 0 0]}.

To find a basis for the subspace S = span {[1 -1 0 2], [3 -5 4 8], [0 1 -2 -1]}, we can use the same method as in the example. First, we put the vectors in a matrix and row-reduce it:

[1 -1 0 2]
[3 -5 4 8]
[0 1 -2 -1]

R2 - 3R1 -> R2
R3 -> R3 + 2R1

[1 -1 0 2]
[0 -2 4 2]
[0 1 -2 -1]

-1/2R2 -> R2

[1 -1 0 2]
[0 1 -2 -1]
[0 1 -2 -1]

R3 - R2 -> R3

[1 -1 0 2]
[0 1 -2 -1]
[0 0 0 0]

We can see that the last row is all zeros, so we have only two pivots and one free variable. This means that the dimension of the subspace S is 2. To find a basis, we can write the pivots as linear combinations of the original vectors:

[1 -1 0 2] = [1 0 0 2] + [-1 1 0 0]
[0 1 -2 -1] = [0 1 -2 -1]

Therefore, a basis for S is {[1 0 0 2], [-1 1 0 0]}.

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From the graphs we notice that at first both cars show an increase of mpg but at 20 miles per gallon the red line decreases. This means that:

The driver would first notice a decrease in gasoline mileage at 20 mph.

The full size car showed the decrease.

James will fully clear the loan after approximately 12 years when the remaining balance reaches zero.

To determine the number of years it will take for James to fully clear the loan, we need to calculate the remaining balance after each payment and divide the initial loan amount by the annual payment until the remaining balance reaches zero.

The loan amount is 9000 euros, and James pays off 770 euros each year. Since the interest is charged at a rate of 3% of the original amount per annum, the interest for each year will be \(0.03 \times 9000 = 270\) euros.

In the first year, James pays off 770 euros, and the interest on the remaining balance of 9000 - 770 = 8230 euros is \(8230 \times 0.03 = 246.9\)euros. Therefore, the remaining balance after the first year is 8230 + 246.9 = 8476.9 euros.

In the second year, James again pays off 770 euros, and the interest on the remaining balance of 8476.9 - 770 = 7706.9 euros is \(7706.9 \times 0.03 = 231.21\) euros. The remaining balance after the second year is 7706.9 + 231.21 = 7938.11 euros.

This process continues until the remaining balance reaches zero. We can set up the equation \((9000 - x) + 0.03 \times (9000 - x) = x\), where x represents the remaining balance.

Simplifying the equation, we get 9000 - x + 270 - 0.03x = x.

Combining like terms, we have 9000 + 270 = 1.04x.

Solving for x, we find x = 9270 / 1.04 = 8913.46 euros.

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Answer:

Tuesday=81

Step-by-step explanation:

since 4 x 9 = 36, you have to multiply 9 x 9, which equals 81.

for Wednesday, 4 x 11 = 44, so you have to multiply 9 x 11, which = 99.

for the chart, do something like the photo i am showing for Tuesday (i already made it)

Answer:

ready-steady paint

Step-by-step explanation:

if he needs 12 tins, and purchased from paint -O  mine, he would spend (12/3) X 7.50 = 4 x 7.50 = £30

from ready steady, he can buy 4 for £11. he needs 12.

so he will spend (12/4) X 11 = 3 X 11 = £33. but he can get 15% off. 15% off is the same as multiplying by 0.85.

33 X 0.85 = £28.05.

so he his better purchasing from ready steady paint

Answer:

the angle would be 1/2 i did this problem before and got it correct

Step-by-step explanation:

Answer:

y = -1/2x + b  meaning f(x) = -1/2x + b

Step-by-step explanation:

Use two points on the graph that you can find the value of  or use Slope = raise/run

let use points (2,0) and (0, 1)

slope = (change in the y-value)/(change in the x-value.

slope = (1 - 0)/(0 - 2)

slope = 1/-2 or -1/2

Or starting at point (2, 0) the run(x movement) = -2 and the raise is 1.

slope = raise/run

slope =  1/-2 or -1/2

Using one point (2,0) and the slope of -1/2, substitute into the slope intersect form, y = mx + b, and solve for "b" .

y= mx + b

0 = -1/2(2) + b

0 = -1 + b

1 = b

Now write your equation: y = mx +b where m = -1/2 and b = 1

y = -1/2x +b

We cannot determine which of the two options is the best one to get admitted to Yale.

In 2017, the mean of SAT scores in Ohio was 1149 with a standard deviation of 212. To get admitted to Yale, you need to score 1460 in the SAT or 33 in the ACT. So which of the two options is the best one to get accepted to Yale?

Solution: Given that the mean SAT scores in Ohio in 2017 was 1149, with a standard deviation of 212. Therefore, the normal distribution of SAT scores can be written as N (1149, 212).To get accepted into Yale, you need an SAT score of 1460 or an ACT score of 33.Because SAT scores are normally distributed, we can find the probability of scoring 1460 or higher by converting this score to a z-score. Using the formula below;Z = (X - µ)/σwhere X = 1460, µ = 1149 and σ = 212Z = (1460 - 1149)/212Z = 1.47Using the normal distribution table, we can find that the probability of obtaining a z-score of 1.47 or more is approximately 0.429. Therefore, the probability of obtaining a score of 1460 or higher on the SAT is 0.429.However, if you take the ACT instead, you will need to score at least 33. Unfortunately, we don't have enough information to compare the probability of scoring 33 or higher on the ACT to the probability of scoring 1460 or higher on the SAT. Therefore, we cannot determine which of the two options is the best one to get admitted to Yale.

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The given mean and standard deviation can be used to calculate the z-score of a student's SAT score. The z-score will tell us how many standard deviations a student's score is above or below the mean. To find which test score (SAT or ACT) would give you a better chance of getting into Yale, we will need to convert the ACT score to an equivalent SAT score and then compare that to your SAT score converted to a z-score.

SAT scores are normally distributed in Ohio in 2017 with mean = 1149 and standard deviation = 212.To get accepted into Yale, you need an SAT score of 1460 or an ACT score of 33.Z-score of 1460 can be calculated as below:z = (x - μ) / σwhere x = 1460, μ = 1149 and σ = 212.z = (1460 - 1149) / 212z = 1.4747So, a student needs to score 1.4747 standard deviations above the mean to get into Yale.Using the standard normal distribution table, we can find that the probability of a randomly selected student scoring higher than 1.4747 standard deviations above the mean is approximately 7.6%.This means that if a student scores a 1460 on the SAT, they would be in the top 7.6% of all test-takers in Ohio in 2017.Now, we need to find the equivalent SAT score of an ACT score of 33. According to the College Board, the equivalent SAT score for an ACT score of 33 is 1460. So, if a student scores a 33 on the ACT, they would be in the top 1% of all test-takers, and this score would be equivalent to a 1460 on the SAT.Therefore, if a student can score a 33 on the ACT, they would have a better chance of getting into Yale than if they scored a 1460 on the SAT.

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\(\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}\)

\(:\implies\sf{ \frac{36}{x} = - 9} \\ \\ :\implies\sf{ \frac{36}{ 9} = -x} \\ \\ :\implies\sf{4 = -x} \\ \\ :\implies\sf{x = -4}\)

Answer:710.4

Step-by-step explanation:

Answer:

9.33

Step-by-step explanation:

12.44=311/25

(3/4)×(311/25)=(3×311/4×25)=933/100=9.33

Answer:

B. 9.33

Step-by-step explanation:

I go with my gut and my gut tells me this the right answer ( I used a calculator).

In cluster analysis, a method can be used to reduce bias due to the difference in units of measurement. One such method is called standardization.

Cluster analysis is a data mining approach that is widely utilized in data processing, image analysis, and other data-based analytics applications. It groups items that have comparable characteristics into clusters by separating them from other objects that do not share the same features.

Standardization is the process of converting variables with various scales to a common scale so that they can be compared fairly.

Standardization involves transforming all of the variables into comparable units of measurement by converting them into z-scores. This allows for the comparison of values without being affected by the different units of measurement.

The method that can be used to reduce bias due to the difference in units of measurement in cluster analysis is standardization, which converts variables with various scales to a common scale so that they can be compared fairly. This ensures that each variable contributes equally to the distance between the clusters.

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The simplified expression should be 7x² + 4x - 5. option A.

 5x² - 5x + 1

+ 2x² +9x -6 is simply 5x² - 5x + 1 + 2x² +9x -6

To add the two expressions, we simply combine like terms.

(5x² - 5x + 1) + (2x² + 9x - 6)

Combine the like terms for the x² terms: 5x² + 2x² = 7x²

Combine the like terms for the x terms: -5x + 9x = 4x

Combine the constant terms: 1 - 6 = -5

Therefore, the simplified expression is 7x² + 4x - 5.

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Answer:

1 kg, 0.8 kg, 1.6 kg

Step-by-step explanation:

Add up each part in the ratio

5 + 4 + 8 = 17

Divide the mass of the alloy by 17

3.4/17 = 0.2

To find out how much of each metal is in the alloy multiply 0.2kg by how many parts of it are in the alloy.

Nickel - 5 parts

0.2 x 5 = 1 kg

Zinc - 4 parts

0.2 x 4 = 0.8 kg

Copper - 8 parts

0.2 x 8 = 1.6 kg

Answer:

Step-by-step explanation:

5x+4x+8x=3.4

17x=3.4

x=0.2

Nickel 1 kg

Zinc 0.8 kg

Copper 1.6 kg

Hope this helped :D

->period = \(\frac{2\pi }{2} =\pi\)

->a=3, shift \(\frac{\pi }{4}\)

->right 1 unit up

Rest are shown in graph

Answer:

Amount Dan has = $17

Amount Ann has = $27

Amount Pablo has = $34

Step-by-step explanation:

Total amount they have = $78

Let

Amount Dan has = x

Amount Ann has = x + 10

Amount Pablo has = 2x

Total = Dan + Ann + Pablo

78 = x + (x + 10) + 2x

78 = x + x + 10 + 2x

78 = 4x + 10

78 - 10 = 4x

68 = 4x

x = 68/4

x = 17

Amount Dan has = x = $17

Amount Ann has = x + 10

= 17 + 10

= $27

Amount Pablo has = 2x

= 2(17)

= $34

Answer:

------------------------

The horizontal distance is 16 cm and vertical distance is 14 cm.

Therefore the perimeter is:

Answer:

430 > 33.73x + 27      ---->         x < 11

Step-by-step explanation:

The inequality describes the total amount that can be spent for a whole number of days. To solve for the number of days, solve for x (x<11.95). Because she can't rent for only a part of a day, and because she can't spend more than $430, the inequality becomes x<11.

Answer:

Step-by-step explanation:

33.73x + 27 <= 430

0.06 is for every mile. She plans to drive 450 miles. So 0.06 times 450. Which is 27.

Then your have the 33.73 for each day for the rent of the car. We don't know how many days so we'll just put x.

The future value of $7,790 at the end of 7 periods with 8% compounded interest is approximately $13,350.69.

The future value formula is expressed as:

\(FV = P( 1 + r )^n\)

Given that:

Principal amount (initial investment) P =  $7,790

Interest rate per period r = 8%

Number of periods n = 7

The future value FV =?

First, convert R as a percent to r as a decimal

r = R/100

r = 8/100

r = 0.08

Plug these values into the future value formula above:

\(FV = P( 1 + r )^n\\\\FV = 7790( 1 + 0.08 )^7\\\\FV = 7790( 1 .08 )^7\\\\FV = \$ 13,350.69\)

Therefore, the accrued amount is $13,350.69.

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The function g is g(x) = -9x/2 + 6.

To solve for the function g, we can use the fact that (f + g)(x) = f(x) + g(x).

So, we can start by finding f(x):

f(x) = 5x + 1

Next, we can substitute this into the expression for (f + g)(x):

(f + g)(x) = 7 - x/2

f(x) + g(x) = 7 - x/2

Now we can substitute the expression for f(x):

5x + 1 + g(x) = 7 - x/2

We can simplify this equation by subtracting 1 from both sides:

5x + g(x) = 6 - x/2

Finally, we can isolate g(x) by subtracting 5x from both sides:

g(x) = 6 - x/2 - 5x

Simplifying this expression, we get:

g(x) = -9x/2 + 6

Therefore, the function g is g(x) = -9x/2 + 6.

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The probability is 0.0132.

Here we have mean and standard deviations for air samples from large cities.

According to large samples, the law sample average calculated from large samples is approximately equal to the population average.  

As here sample is taken from a large city, the sample is considered a large sample. Hence mean is approximately equal to the population mean. Also, it is considered a random sample is representative of the population and the sample standard deviation is approximate to the population standard deviation. Hence we can say that carbon monoxide concentrations in air samples from this city are normally distributed.

So here we have

μ = 12

σ = 9 , n = 100

Hence here we need to find,

= p (x > 14)

= p((x-μ /(σ/√n)) > 14-12/9/√100)

= p ( z > 2.22 )

= 1 - p ( z < 2.22 )

= 1 - 0.9868 (using excel formula = norm.s.dist(2.22,1))

= 0.0132

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