Need answer plz help

Answer:

6 different paving stones could be made.

Each paving stone would cost $16.90.

Step-by-step explanation:

Divide the volume by the height to find the area of the base.

360 cu in. / 4 in. = 90 sq in.

The area of the base is 90 sq in.

Now we need to find all the pairs of positive integers whose product is 90 to find the number of different possible combinations of length and width of the base.

90 =

= 90 * 1

= 45 * 2

= 30 * 3

= 18 * 5

= 15 * 6

= 10 * 9

Answer: 6 different paving stones could be made.

Cost:

$2.50 + $0.16 * 360 cu in. / 4 cu in. = $16.90

Answer: Each paving stone would cost $16.90

Answer:

Step-by-step explanation:

According to question

    \(4ax^{2} +9x+c < 0\)

This means that the coefficient of the highest degree term

(\(4ax^{2}\)) must be positive

And the constant term (c) must be negative

So, the according to condition

   4a must be positive,

    which means a must be positive

And, c must be negative

          \(a > 0\\c < 0\)

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The 5th value of the 60% percentile is 47 when for each test score in the data set is 12, 28, 35, 47, 49, 50.

Given that,

For each test score in the data set, the percentile rank is determined. 12, 28, 35, 42, 47, 49,  

We have to find what number represents the 60% of the population.

We know that,

So,

Percentile rank =[(Number of values below x)+0.5]/ total number of values × 100

For 12,

Percentile rank = [0 +0.5]/7×100

= 7th

For 28,

Percentile rank = [1 +0.5]/7×100

= 21st

For 35,

Percentile rank = [2 +0.5]/7×100

= 36th

For 42,

Percentile rank = [3 +0.5]/7×100

= 50th

For 47,

Percentile rank = [4 +0.5]/7×100

= 64th

For 49,

Percentile rank = [5 +0.5]/7×100

= 79th

For 50,

Percentile rank = [6 +0.5]/7×100

= 93rd

Now,

n = 7

60th percentile = 60% of n

So,

60% of n = 60/100×7

= 0.6×7

= 4.2

Therefore, The 5th value of the 60% percentile is 47 when for each test score in the data set is 12, 28, 35, 47, 49, 50.

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Answer:

10+7t

Step-by-step explanation:

Because when you substitute t = 1, you'll get 17; t=2, you'll get 24 and so on.

The current price of the clarinet and the various discounts and markups illustrate that the amount the store paid was $90.

First find out the selling price of the clarinet:

= Discounted price / ( 1 - discount rate)

= 93.60 / ( 1 - 20%)

= $117

This selling price is 30% more than what the store paid so the price the store paid was:

= Selling price / ( 1 + rate of increase)

= 117 / ( 1 + 30%)

= $90

In conclusion, the amount the store paid was $90.

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Complete question

A music store buys instruments and then sells them for 30% more than they paid. During a 20% off sale, the store offers a clarinet for $93.60.

How much did the store pay for the clarinet?

Answer:

$1551 needed to cover the costs and 141 shirts will be sold.

Step-by-step explanation:

If a shirt costs $10 and the council is selling the shirt for $1 more ($11), after selling 141 shirts, they would have made a profit of $1*141=$141. Since there is also a setup fee of $141, the profit would actually be $0. This is when the costs are covered.

C = 10s + 141 (C is cost and s in no. of shirts sold)

s = 141

C = 141*10 + 141 = 1551

Hope this helps!

The given rational and irrational numbers can be ordered from least to greatest as follows; -2 3/5 < 10/3 < 3 7/8 < 3.9 < √20.

It follows from the task content that the numbers given are rational and irrational numbers.

To order the numbers, they should be converted to decimal numbers as follows;

-2 3/5 = -2.6

√20 = 4.47

3.9 = 3.9

10/3 = 3.33

3 7/8 = 3.875

Hence, the order from least to greatest is; -2 3/5 < 10/3 < 3 7/8 < 3.9 < √20.

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The given quadratic function `f(x) = -3x² - 6x` has a maximum value of `-9`, which is obtained at the point `(1, -9)`.

A quadratic function can either have a maximum or a minimum value depending on the coefficient of the x² term.

If the coefficient of the x² term is positive, the quadratic function will have a minimum value, and if the coefficient of the x² term is negative, the quadratic function will have a maximum value.

Given function is

f(x) = -3x² - 6x.

Here, the coefficient of the x² term is -3, which is negative.

Therefore, the function has a maximum value, and it is obtained at the vertex of the parabola

The vertex of the parabola can be obtained by using the formula `-b/2a`.

Here, a = -3 and b = -6.

Therefore, the vertex is given by `x = -b/2a`.

`x = -(-6)/(2(-3)) = 1`.

Substitute the value of x in the given function to obtain the maximum value of the function.

`f(1) = -3(1)² - 6(1) = -3 - 6 = -9`.

Therefore, the given quadratic function `f(x) = -3x² - 6x` has a maximum value of `-9`, which is obtained at the point `(1, -9)`.

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The accounts receivable turnover is approximately 3.65 times.

We can use the formula:

Accounts Receivable Turnover = Net Credit Sales / Average Accounts Receivable

However, we need additional information to calculate this. Specifically, we need to know the net credit sales and the average accounts receivable.

The average collection period is a measure of how long it takes for accounts receivable to be collected. It is calculated as:

Average Collection Period = (Accounts Receivable / Net Credit Sales) x 365

We can rearrange this formula to solve for the accounts receivable:

Accounts Receivable = (Average Collection Period / 365) x Net Credit Sales

We are given that the average collection period is 100.0 days. Assuming a 365-day year, we have:

Accounts Receivable = (100.0 / 365) x Net Credit Sales

Accounts Receivable = 0.27397 x Net Credit Sales

Now we can use the accounts receivable turnover formula:

Accounts Receivable Turnover = Net Credit Sales / Average Accounts Receivable

Accounts Receivable Turnover = Net Credit Sales / (0.27397 x Net Credit Sales)

Accounts Receivable Turnover = 1 / 0.27397

Accounts Receivable Turnover ≈ 3.65

Therefore, the accounts receivable turnover is approximately 3.65 times.

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The difference between the amount of paper within the waste stream before and after composting or recycling is 11.2%.

The waste stream is the entire life cycle of the garbage produced by people, from its source through to disposal, recovery, or recycling. Waste streams can be divided into two categories: material-related (such as paper, metals, plastics, and wood) and product-related (such as packaging).

Generally, paper (and paperboard) represent a big portion of the solid waste stream. In 2012, EPA noted that paper and paperboard products accounted for around 27% of all materials in the waste stream. To reduce the amount of the waste stream, the best thing you can do is to recycle and compost whenever possible.

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\(\tt{Hey~there!\)

\(\tt{5\frac{7}{10}\times\frac{-5}{9}\)

\(\tt{Multiply:\)

\(\tt{5\frac{7}{10}\times\frac{-5}{9}=\frac{-19}{6}\)

\(\tt{Now~simplify~-19/6:\)

\(\tt{\frac{-19}{6} =-3\frac{1}{6}\)

\(\boxed{\tt{-3\frac{1}{6}}}\)

\(\tt{Hope~this~helps!\)

\(\boxed{\tt{-TestedHyperr}}\)

Answer:

57/18 or 3 1/6

Step-by-step explanation:

Step 1:

5 7/10 × - 5/9       Equation

Step 2:

57/10 × - 5/9    Change to Improper Fraction

Answer:

57/18 or 3 1/6

Hope This Helps :)

Answer:

OoP

Step-by-step explanation:

Therefore, 65% of all nurses have a starting salary, z = invNorm(0.35) ≈ -0.3853 and z = (41861.5 - 67694) / 10333 ≈ -2.49.

b) We need to find P(X ≥ 78371.8). To do this, we can standardize the value using the formula z = (x - μ) / σ, where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation. Then we can look up the probability in a standard normal distribution table or use a calculator.

\(z = (78371.8 - 67694) / 10333 \approx 1.04\)

Using a standard normal distribution table or calculator, we find that P(Z ≥ 1.04) ≈ 0.1492. Therefore, the probability that a randomly selected nurse has a starting salary of 78371.8 dollars or more is about 0.1492.

c) We need to find P(X ≤ 91407.1). Again, we can standardize the value and look up the probability in a standard normal distribution table or use a calculator.

\(z = (91407.1 - 67694) / 10333 \approx 2.30\)

Using a standard normal distribution table or calculator, we find that P(Z ≤ 2.30) ≈ 0.9893. Therefore, the probability that a randomly selected nurse has a starting salary of 91407.1 dollars or less is about 0.9893.

d) We need to find P(78371.8 ≤ X ≤ 91407.1). We can standardize the values and use a standard normal distribution table or calculator to find the probability.

z1 = (78371.8 - 67694) / 10333 ≈ 1.04

z2 = (91407.1 - 67694) / 10333 ≈ 2.30

Using a standard normal distribution table or calculator, we find that P(1.04 ≤ Z ≤ 2.30) ≈ 0.4657. Therefore, the probability that a randomly selected nurse has a starting salary between 78371.8 and 91407.1 dollars is about 0.4657.

e) We need to find P(X ≤ 41861.5). Again, we can standardize the value and use a standard normal distribution table or calculator.

z = (41861.5 - 67694) / 10333 ≈ -2.49

Using a standard normal distribution table or calculator, we find that P(Z ≤ -2.49) ≈ 0.0062. Therefore, the probability that a randomly selected nurse has a starting salary that is at most 41861.5 dollars is about 0.0062.

f) Yes, a starting salary of 41861.5 dollars is unusually low for a randomly selected nurse. This is because the probability of getting a starting salary at or below this value is very small, as we calculated in part (e).

g) We want to find the value x such that 65% of all nurses have a starting salary greater than x. This means we need to find the 35th percentile of the distribution, which we can do using a standard normal distribution table or calculator.

z = invNorm(0.35) ≈ -0.3853

Using the formula z = (x - μ) / σ, we can solve for x:

-0.3853 = (x - 67694) / 10333

x - 67694 = -0.3853 * 10333

x ≈ 63757.72

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Answer:

Let's write the equation of the line that passes through the points (0,3)(0,3)left parenthesis, comma,, right parenthesis and left parenthesis,  comma, right parenthesis in slope-intercept form.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

12:1,2,3,4,6,12

18:1,2,3,6,9,18

32:1,2,4,8,16,32

h.c.f = 2

The volume of the tank can be found using the given information as:\(Volume=\int\limits^b_a {\pi f(x)^2} \, dx\)

Assuming that the area bounded is given by a function f(x), the volume of the oil storage tank can be calculated using the formula for the volume of a solid of revolution:

\(Volume=\int\limits^b_a {\pi f(x)^2} \, dx\)

where a and b are the limits of integration. In this case, the axis of revolution is the x-axis, so we are revolving the area about the x-axis.

Therefore, the volume of the tank can be found using the given information as:

\(Volume=\int\limits^b_a {\pi f(x)^2} \, dx\)

We need more information about the function f(x) or a curve that bounds the area in order to find the limits of integration and calculate the volume.

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The volume of the gas approximately directly proportional to its number of moles of gas when both temperature and pressure are constant.

V∝ n at constant P and T

V = constant × (n)

Vn = constant

This can be mathematically stated as follows: As before, we can anticipate what will change to the volume of the a sample of gas as we adjust the number of moles using Avogadro's law.

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Replace x with 3:

9.96(5)^3 + 6.38

Simplify

9.96(125) + 6.38

Do the multiplication then addition

1245 + 6.38 = 1251.38

Answer: 1251.38

Answer:

im not positive but if i did it right it is 1,248.38

Step-by-step explanation:

calculate

The answers are:

Note that the graph depict the depth, y, in meters, of a shark that moves from the surface of an ocean for a given amount of time, x, in minutes.

So:

Part A :

We  look at the two right triangles:  Δ ABD and Δ BCE, and where D(2,100) and E(1,60) points.

Since the  triangle are the same and thus, the slope of line segment AB: tan θ = AD/BD

= 140 - 100 / 2 - 1

= 40

Since the the slopes of line segment BC will be:

tan a = BE/CE

= 100 - 6 / 1 - 0

= 40

So, θ = α and the slope of AB and BC are similar.

Part B :

Using the graph, one can see that  the initial value of the graph is 60 m and it stands for the initial position of the shark

e.g.  at point t = 0 min, the shark was seen at a depth of 60 m from the water surface.

So therefore, since the slope of the graph is 40 it implies that the rate of change of distance from the Ocean surface of the shark in regards to the  time in minutes have to be 40 m per min.

Therefore, The answers are:

Part A: The slope of AB and BC are the same.

Part B :The initial value is 60 m and the slope is 40 m/min.

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A polar equation of a circle with a center at (a, b) and a radius is r = sqrt [(x-a)^2 + (y-b)^2].To write a polar equation for a circle, you can use the Pythagorean Theorem to determine the radius in terms of θ.

A circle with center (a, b) and radius r has equation(x - a)² + (y - b)² = r².We want to convert this to polar coordinates.

We will use x = r cos θ and y = r sin θ. So, substitute x and y, and we get:

r² cos² θ + r² sin² θ - 2ar cos θ - 2br sin θ + a² + b² = r², which simplifies tor² - 2ar cos θ - 2br sin θ + a² + b² = 0.To eliminate the trigonometric functions, we'll use the double-angle identity:

cos 2θ = 2 cos² θ - 1, and sin 2θ = 2 sin θ cos θ.

We obtain

r² - 2ar cos θ - 2br sin θ + a² + b² = 0r² - 2ar cos θ - 2br sin θ + a² + b² - r² cos 2θ - r² sin 2θ = 0,r² - 2ar cos θ - 2br sin θ + a² + b² - 2r² cos θ cos θ - 2r² sin θ cos θ - 2r² sin θ cos θ + 2r² sin² θ = 0,r² - 2ar cos θ - 2br sin θ + a² + b² - 2r² cos θ cos θ - 4r² sin θ cos θ + 2r² sin² θ = 0,r² - 2r (a cos θ + b sin θ) + a² + b² - 2r² sin θ cos θ = 0.

Therefore, the polar equation of a circle of radius centered at (a,b) is given by the expression r² - 2r (a cos θ + b sin θ) + a² + b² - 2r² sin θ cos θ = 0.

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Answer:

27.6%

Step-by-step explanation:

See the attached worksheet. Find the total number of marbles (29) and then take the green marbles and divide by the total and multiply by 100%.  (8/29)*(100%) = 27.6% to the nearest tenth.

Answer:

\(\text{C. }21.39\:\mathrm{units^2}\)

Step-by-step explanation:

The area of a triangle with sides \(a\) and \(b\) and angle \(\gamma\) between them is given by \(A=\frac{1}{2}ab\sin \gamma\).

Therefore, in the given triangle, we want to find two sides with the angle between them given. In this case, the angle between the two sides 7.39 and 9.75 is marked as \(36.43^{\circ}\). Assign values:

Substituting these values into our area formula, we get:

\(A=\frac{1}{2}\cdot 7.39\cdot 9.75\cdot \sin (36.43)^{\circ},\\A=21.3938371858,\\A\approx \boxed{21.39\:\mathrm{units^2}}\)

Answer: No.

Step-by-step explanation:

3 x 5 = 15,

but 10 x 5 = 50.

In order for the ratios to be equivalent, they would have to be written like this:

3/10 = 15/50

Therefore, it is not equivalent.

Hope this helps!

The correct answer is A) Domain: (-∞, ∞) Range: [0, ∞).the range is [0, ∞), indicating that y can take any value greater than or equal to zero.

The given function is y = -5x^2, For the domain, since there are no restrictions or limitations on the input x, the domain is all real numbers, represented as (-∞, ∞), indicating that x can take any value from negative infinity to positive infinity.

For the range, notice that the coefficient in front of x^2 is -5, which is negative. This means that as x increases or decreases, the value of y will be negative. However, the range is not (-∞, 0) because the function is not defined for any negative value of y.

Instead, the range includes zero and all positive values. Hence, the range is [0, ∞), indicating that y can take any value greater than or equal to zero. Therefore, the correct answer is A) Domain: (-∞, ∞) Range: [0, ∞).

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Answer:

302in cubed

Step-by-step explanation:

equation 2(5x11+6x11+5x6)

Answer:

do 11x6 four times and do 6x5 two times

Step-by-step explanation:

The complete table will be;

For Kristy;

Distance (miles) = 6   12   18   24   30

Time (min) =       40  80  120  160  200

For Jax;

Distance (miles) =  4    8    12    16    20

Time (min) =        30   60   90  120   150

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

Given that;

Kristy rides 6 miles on her bicycle in 40 minutes.

Jax rides 4 miles on his bicycle in 30 minutes.

Now,

By the definition of ratio, we get;

For Kristy;

⇒ 6 : 40 = x : 80

⇒ 6 / 40 = x / 80

⇒ x = 12

And, 6 : 40 = x : 120

6 / 40 = x / 120

x = 18

And, 6 : 40 = x : 200

6 / 40 = x / 200

x = 30

For Jax;

4 : 30 = 8 : x

4 / 30 = 8/x

x = 60

And, 4 : 30 = x : 90

4 / 30 = x / 90

x = 12

And, 4 : 30 = x : 120

4 / 30 = x / 120

x = 16

And, 4 : 30 = x : 150

4 / 30 = x / 150

x = 20

Thus, The complete table will be;

For Kristy;

Distance (miles) = 6   12   18   24   30

Time (min) =       40  80  120  160  200

For Jax;

Distance (miles) =  4    8    12    16    20

Time (min) =        30   60   90  120   150

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