A car travels in a straight-line path. all displacements are listed relative to the car's starting point. at 2 seconds, the car is found at a position of 30 meters. at 6 seconds, the car is found at a position of 80 meters. at 13 seconds, the car is found at a position of 41 meters

Answer:

The answer is 0.16

Step-by-step explanation:

Just divide 88 (the total number of students that walk) by 550 (total number of juniors+seniors) since its not asking about a certain grade level

ANSWER:

B. For every 1-inch increase in height, walking speed increases by 4.9 m/min

STEP-BY-STEP EXPLANATION:

We have the following expression:

4.9 is the slope of the function, that is, it is the increase in y (walking speed) given by a unit in x (height).

This means that for every 1 inch that the walking speed increases, it increases by 4.9 units.

Therefore, the correct answer is B. For every 1-inch increase in height, walking speed increases by 4.9 m/min

The length of the lake of 4.042 miles in yards is 7113.92 yards

From the question, we have the following parameters that can be used in our computation:

Lake has a length of 4.042 mi.

This means that

Length = 4.042 miles

From the table of values:

To convert inches to feet, we multiply the length value by 1760

So, we have

Length = 4.042 * 1760 yards

Evaluate

Length = 7113.92 yards

Hence, the length is 7113.92 yards

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Answer:

$391.2 per owner

Step-by-step explanation:

find the total price of the items and divide it by five

Answer:

24c+37

Step-by-step explanation:

Answer:

98%

Step-by-step explanation:

"The customer yields $780 per year in profits for this retailer."

Customer lifetime value (CLV) is a prediction of the total value a customer will bring to a business over their entire relationship with the company. Retailer profits refer to the financial gain a retailer makes after subtracting all costs, including the cost of goods sold, operating expenses, and taxes, from the revenue generated by their retail sales.

The customer spends $250 a week, so the retailer profits:

If the shopper visits the store every week for a year, the retailer profits:

If this shopper remains loyal for a 10-year lifespan, the retailer profits:

This is the CLV  without considering inflation or any other factors. To consider inflation, we can apply the 8% annual interest rate to calculate the present value of the future profits. The present value of $7,800 over 10 years with an 8% interest rate is approximately $5,100 (the exact value will depend on the method used to calculate the present value).

This question should be provided as:

Assume that a customer shops at a local grocery store spending an average of ​$250 a​ week, resulting in a retailer profit of ​$15 each week from this customer. Assuming the shopper visits the store all 52 weeks of the​ year, calculate the customer lifetime value if this shopper remains loyal over a​ 10-year life span. Also assume a 8 percent annual interest rate and no initial cost to acquire the customer.

The customer yields ​$_____ per year in profits for this retailer.

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Answer:

C Subtraction property of equality

Step-by-step explanation:

You are subtracting 21 from both sides in step 3

Answer:

I would guess C

Step-by-step explanation:

I hope I'm correct, good luck.

True, we can compare a model before using a transformation on x or y to a mode before using a transformation by using the corresponding values of the sum of squares error SSE.

      For example, to compare two models, one of which has a transformation on the outcome of the variable, that is:

First model\(y=x+z\)

Second model:\(y^{1/k} =x+z\)

The best logical approach might be to look at the comparative performance obviously with predicted transformed values back-transformed and then look at the models sum of squares error of these predictions. It has to be random predictions and comparisons because the error distributions are also transformed.

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Answer:

∠ ELM = 149°

Step-by-step explanation:

∠ KLM = ∠ KLE + ∠ ELM  , substitute values

17x - 1 = 20 + 15x - 1

17x - 1 = 15x + 19 ( subtract 15x from both sides )

2x - 1 = 19 ( add 1 to both sides  )

2x = 20 ( divide both sides by 2 )

x = 10

Then

∠ ELM = 15x - 1 = 15(10) - 1 = 150 - 1 = 149°

The phrases that imply correlation without causation are:

These correlations do not imply a causal relationship, meaning that an increase or decrease in one variable does not directly cause a corresponding change in the other variable.

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Inequality stating that there are 8000 sq. m. of land available: Let B be the number of units of house B and C be the number of units of house C.

Therefore,B+C ≤ 8000/200 [Reason: House C requires 200 sq. m. of land]⇒B+C ≤ 40b. Inequality that the engineer has at most 6400 man-hour available for construction:

160B + 256C ≤ 6400c

Inequality stating that the engineer has at least 12 million pesos to spend for materials:

600B + 800C ≤ 12000d

. Let us write down a table to calculate the cost, income and profit as follows:Units of house BLabor Hours per unit of house BUnits of house CLabor Hours per unit of house CTotal Labor HoursMaterial Cost per unit of house BMaterial Cost per unit of house CTotal Material CostIncome per unit of house BIncome per unit of house C

Total IncomeTotal ProfitBC=8000/200-B160CB+256C600000800000+256C12,000,0003,500,0004,000,0003,500,000B+C ≤ 40 160B + 256C ≤ 6400 600B + 800C ≤ 12000 Units of house B requires 160 man-hour and a unit of house C requires 256 man-hour.

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Answer:

$184

Step-by-step explanation:

85 + 7 = 92

92 x 2 = 184

Answer:

x/65= 7/17.78

Step-by-step explanation:

B or witch  ever one looks like that

The temperature in degrees celcius in which bacteria cannot survive is greater than 3.66

This is a way of representing a variable with another

Given the inequality below;

q/5 C + 32 ≥ 120

Substitute C = 120oF

q/5(120) + 32  ≥ 120

24q + 32 ≥ 120

24q  ≥ 120 - 32

24q  ≥ 88

q ≥ 88/24

q ≥ 3.66

Hence the temperature in degrees celcius in which bacteria cannot survive is greater than 3.66

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Step-by-step explanation:

The height of your chair can be described as 29 - 10 1/4.

We can do this math mentally to get an answer of 18 3/4, or we can write this in decimal form; 18.75 inches.

The height of your chair is 18.75 inches

The indicated critical value for significance level of 0.03 should be approximately 1.88.

In standard normal distribution, the critical value is the mark or point that seperates region of acceptance and rejection. In one-tailed test having significance level of 0.03, it will indicate the probability of getting a value that will be more than or equal to 0.03.

The calculation of critical value can be done in many ways. Either look through the standard table or use calculator for the same. The latter is done by using inverse function on standard normal cumulative distribution function. It should be around 1.88.

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Answer:

\(\tan(A - \frac{\pi}{4}) = \frac{-\sqrt{15}- 1}{1 -\sqrt{15}}\)

Step-by-step explanation:

Given

\(\tan A =-\sqrt{15\)

Required

Find \(\tan(A - \frac{\pi}{4})\)

In trigonometry:

\(\tan(A - B) = \frac{\tan A - \tan B}{1 + \tan A \tan B}\)

This gives:

\(\tan(A - \frac{\pi}{4}) = \frac{\tan A - \tan \frac{\pi}{4}}{1 + \tan A \tan \frac{\pi}{4}}\)

\(tan \frac{\pi}{4} = 1\)

So:

\(\tan(A - \frac{\pi}{4}) = \frac{\tan A - 1}{1 + \tan A * 1}\)

\(\tan(A - \frac{\pi}{4}) = \frac{\tan A - 1}{1 + \tan A}\)

This gives:

\(\tan(A - \frac{\pi}{4}) = \frac{-\sqrt{15}- 1}{1 -\sqrt{15}}\)

Answer:

StartFraction StartRoot 15 EndRoot + 1 Over 1 minus StartRoot 15 EndRoot EndFraction

Step-by-step explanation:

EndRoot EndFraction StartFraction negative StartRoot 15 EndRoot + 1 Over 1 + StartRoot 15 EndRoot EndFraction

Answer:

Step-by-step explanation:

Since T is midpoint, ST and TU have equal length:

Substitute the values and solve for x:

T is the midpoint

Answer:

y= -3/2X + 2

Step-by-step explanation:

we get the gradient by picking any two points from the graph( it a linear graph)

using the point:

(x,y)= (-2,5) , (4,-4)

using M= (y2-y1)/x2-x1)

we get our gradient to be -9/6 which is

-3/2

using the equation of a straight line graph which is

y-y1=m(x-x1) and the point (4,-4)

we get

y-(-4)=-3/2(x-4)

----> y+4= -3/2x + 6

make y subject of the formula to take the form

y=mx+c

we get :

y=-3/2x + 2

Answer:

See below.

Step-by-step explanation:

So first, we can separate the entire figure into a semi-circle and an isosceles triangle.

AREA:

The area for a semi-circle is \(\frac{1}{2}\pi r^2\).

The diameter is 8cm, so the radius is 4cm.

Area of the semi-circle is:

\(\frac{1}{2}(4)^2\pi=\frac{1}{2}(16\pi)=8\pi cm^2\)

The area for a triangle is \(\frac{1}{2}bh\).

The base is the same as the diameter (8), and we are given the height as 10. Thus:

\(\frac{1}{2} (8)(10)=8(5)=40cm^2\)

The total area is \((8\pi +40 )cm^2\)

PERIMETER:

The perimeter of a semicircle is: \(\pi r + 2r\) (this is derived from dividing the circumference by 2 and then adding on the diameter).

Thus, the perimeter is:

\(4\pi +8\)

However, we ignore the 8 since the 8 is not part of the perimeter.

The perimeter of the triangle is the two slant lengths. We know the base and the height, so we can use the Pythagorean Theorem:

\(a^2+b^2=c^2\)

\(4^2+10^2=c^2\)

\(c^2=116\)

\(c=\sqrt{116}=2\sqrt{29\)

Two of them will be \(4\sqrt{29}\)

Thus, the total perimeter is \(4\pi + 4\sqrt{29}\)

Answer:

$1.95

Step-by-step explanation:

10x+12y=23

5x+4y=10

10x+8y=20

4y=3

y=3/4

x=7/5

0.75+1.2=$1.95

Hope this helps :D

Because if the exponent is an even number, x can also be -x. For example, -4^2=4^2 but -4^3 isn't the same as 4^3

Answer:

2cm < BC < 12cm

Step-by-step explanation:

Answer:

Perform an experiment

Step-by-step explanation:

The experiments state that it is the test which is to be carried to confirm or refute the hypotheses they had about a specific subject. Therefore, the study findings will be based on the outcome of these experiments.

Now, according to the given situation, an analysis of the impact of potato chips on the human digestive system with fat replacement is refer to perform an experiment.

So, the right answer is to perform an experiment.

Answer:

Area of square = 289r²

Step-by-step explanation:

Given:

Side of square = 17r

Find:

Area of square

Computation:

Area of square = side²

Area of square = (17r)²

Area of square = 289r²

Answer:

V≈4387.14

Step-by-step explanation:

Answer:

Cost of single pane = 11.75 / 5 = $2.35

Cost of 2 extra panes = 2*2.35 =$4. 7

Answer:

The cost for 2 more glass panes is $4.70

Step-by-step explanation:

1. Fist divide 11.75 by 5 to find out how much one pane costs, you should get 2.35.

2. Next multiply 2.35 by 2 to find out how much it is for 2 more glass panes.

Then you will get our answer ($4.70)

1) The pairs \((x, y) = (2 + \sqrt{7}, 2 - \sqrt{7})\) and \((x, y) = (2 - \sqrt{7}, 2 + \sqrt{7})\) are solutions of the system.

2) The quadratic formula has conjugated complex roots for \(k \in (-36, 36)\).

3) The pairs \((x, y) = (5 + \sqrt{47}, 5 - \sqrt{47})\) and \((x, y) = (5 - \sqrt{47}, 5 + \sqrt{47})\) are solutions of the system.

4) The complex number \(z = \frac{1-i}{2+3\cdot i}\) is equal to the complex number \(-\frac{1}{13}-\frac{5}{13}\cdot i\).

5) \(1.25\) is the smallest value that satisfies the quadratic equation \(8\cdot x^{2}-38\cdot x + 35 = 0\).

We need to solve the following system of equations to determine at least one pair of real numbers that are its solution:

\(x+y = 4\) (1)

\(x^{3} + y^{3} = 100\) (2)

By (1) in (2) we have the following expression.

\((4-y)^{3} + y^{3} = 100\)

\(y^{2}-48\cdot y -36 = 0\) (3)

Whose solutions are: \(y_{1} = 2 + \sqrt{7}\), \(y_{2} = 2 - \sqrt{7}\)

And by (1) we find the respective solutions for \(x\): \(x_{1} = 2-\sqrt{7}\), \(x_{2} = 2 +\sqrt{7}\).

In a nutshell, the pairs \((x, y) = (2 + \sqrt{7}, 2 - \sqrt{7})\) and \((x, y) = (2 - \sqrt{7}, 2 + \sqrt{7})\) are solutions of the system. \(\blacksquare\)

By the Quadratic Formula we understand that roots of

\(12\cdot x^{2}+k\cdot x + 27 = 0\) are conjugated complex if and only if the following condition is observed:

\(d^{2} = k^{2}-1296 < 0\) (4)

Where \(d\) is the discriminant of the quadratic formula.

After some mathematical handling we have the following result:

\(k^{2} < 1296\)

\(-36 < k < 36\)

Hence, the quadratic formula has conjugated complex roots for \(k \in (-36, 36)\). \(\blacksquare\)

By using the approach used in part 1), we find that the resulting polynomial is \(2\cdot y^{2} -20\cdot y -44 = 0\) for \(x = 10-y\), whose solutions are \((x,y) = (5 + \sqrt{47}, 5 - \sqrt{47})\) and \((x,y) = (5-\sqrt{47}, 5+\sqrt{47})\).

In a nutshell, the pairs \((x, y) = (5 + \sqrt{47}, 5 - \sqrt{47})\) and \((x, y) = (5 - \sqrt{47}, 5 + \sqrt{47})\) are solutions of the system. \(\blacksquare\)

Let be \(z = \frac{1-i}{2+3\cdot i}\), we proceed to simplify the expression by means of complex algebra:

\(\frac{1-i}{2+3\cdot i} = \frac{(1-i)\cdot (2-3\cdot i)}{(2+3\cdot i)\cdot (2-3\cdot i)} = \frac{2-5\cdot i + 3\cdot i^{2}}{2^{2}+3^{2}} = -\frac{1}{13} -\frac{5}{13} \cdot i\)

The complex number \(z = \frac{1-i}{2+3\cdot i}\) is equal to the complex number \(-\frac{1}{13}-\frac{5}{13}\cdot i\). \(\blacksquare\)

Let be \(8\cdot x^{2}-38\cdot x + 35 = 0\), whose roots are contained in the following quadratic formula:

\(x = \frac{38\pm \sqrt{(-38)^{2}-4\cdot (8)\cdot (35)}}{2\cdot (8)}\)

Whose solutions are: \(x_{1} = 3.5\) and \(x_{2} = 1.25\). We notice that the latter root is the smallest value of \(x\). In consequence, we conclude that \(1.25\) is the smallest value that satisfies the quadratic equation \(8\cdot x^{2}-38\cdot x + 35 = 0\). \(\blacksquare\)

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