Benjamin bought two pounds of strawberries for 12.80. What is the price, in dollars per ounce of strawberries?

Answer:

58.480766068854

Step-by-step explanation:

hope it will help you

Answer:

  t = x +4.75

Step-by-step explanation:

You want the linear function rule relating t to x, given (x, t) = (4, 8.75) and (9, 13.75).

The slope of the function can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (13.75 -8.75)/(9 -4) = 5.00/5 = 1.00

The y-intercept of the function can be found from ...

  b = y -mx

  b = 8.75 -(1.00)(4) = 4.75

The slope-intercept equation is of the form ...

  y = mx +b

For m=1 and b=4.75, and using t instead of y, we have ...

  t = x +4.75 . . . . linear function rule

To find a plane containing the point (-5, 6, -6) and the line defined by parametric equations x(t) = 7 - 5t, y(t) = 3 - 6t, and z(t) = -6 - 6t, we can use the point-normal form of the equation of a plane.

The equation of a plane in point-normal form is given by Ax + By + Cz + D = 0, where (A, B, C) is the normal vector to the plane, and (x, y, z) are the coordinates of a point on the plane. We can determine the normal vector by taking the cross product of two direction vectors in the plane.

The direction vector of the line can be obtained by taking the coefficients of t in the parametric equations, which gives us (-5, -6, -6). We can choose any two non-parallel direction vectors in the plane, for example, (1, 0, 0) and (0, 1, 0). Taking the cross product of these two vectors, we get the normal vector (0, 0, -1).

Now, we can substitute the values of the point (-5, 6, -6) and the normal vector (0, 0, -1) into the point-normal form equation. This gives us 0*(-5) + 0*6 + (-1)*(-6) + D = 0, which simplifies to D = -6. Thus, the equation of the plane containing the point (-5, 6, -6) and the given line is 0*x + 0*y - z - 6 = 0, or simply -z - 6 = 0.

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If the slope of "fitted-line" is given to be 8.42, then the correct interpretation is Option(c), which states that "On average, every $1 million increase in salary is linked with 8.42 point increase in "winning-percentage".

The "Slope" of the "fitted-line" denotes the change in response variable (which is winning percentage in this case) for "every-unit" increase in the predictor variable (which is salary of head coach, in millions of dollars).

In this case, the slope is 8.42, which means that on average, for every $1 million increase in salary of "head-coach", there is an increase of 8.42 points in "winning-percentage".

Therefore, Option (c) denotes the correct interpretation of slope.

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The given question is incomplete, the complete question is

Abigail gathered data on different schools' winning percentages and the average yearly salary of their head coaches (in millions of dollars) in the years 2000-2011. She then created the following scatterplot and regression line.

The fitted line has a slope of 8.42.

What is the best interpretation of this slope?

(a) A school whose head coach has a salary of $0, would have a winning percentage of 8.42%,

(b) A school whose head coach has a salary of $0, would have a winning percentage of 40%,

(c) On average, each 1 million dollar increase in salary was associated with an 8.42 point increase in winning percentage,

(d) On average, each 1 point increase in winning percentage was associated with an 8.42 million dollar increase in salary.

Option (A) Names of TV shows taped in New York are an example of qualitative data. Qualitative data is descriptive in nature and does not involve numerical values or measurements.

It deals with qualities or attributes that cannot be expressed numerically. In this case, the names of TV shows are characteristics that describe the nature of the data. Quantitative data, on the other hand, is numerical data that can be measured and expressed in numbers. A parameter is a measurable factor or variable that can be used to define a system, while statistics is a branch of mathematics that deals with data collection, analysis, and interpretation. In conclusion, since the names of TV shows are descriptive in nature and do not involve numerical values, they are an example of qualitative data.

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x(4x+y)(16x^2-4xy + y^2)

Answer:

        n{BLUE}  =  4

        n{RED}    =   3

        n{YELLOW}  =  5

        4  +  3  +  5   =  12

I hope this helps you!

The surface area of the part of the plane 10x + 9y + z = 7 that lies inside the elliptic cylinder 16 = 1/49, more specific information is needed.

To express the surface area of the given function z = y^4 cos(x) over the triangle with vertices (-1, 1), (1, 1), (0, 2), we can set up an iterated integral using the following limits of integration:

a = -1

b = 1

g(x) = 1

h(x) = 2 - x

The surface area can be calculated using the formula:

Surface Area = ∬R √(1 + (dz/dx)^2 + (dz/dy)^2) dA

where R represents the region over which the surface area is calculated, dz/dx and dz/dy are the partial derivatives of z with respect to x and y, and dA represents the differential area element.

In this case, the integral can be set up as follows:

Surface Area = ∫(-1)^(1) ∫[1]^(2-x) √(1 + (dz/dx)^2 + (dz/dy)^2) dy dx

Now, let's calculate the surface area using the given equation:

Surface Area = ∫(-1)^(1) ∫[1]^(2-x) √(1 + (-y^4 sin(x))^2 + (4y^3 cos(x))^2) dy dx

Simplifying and evaluating this integral will yield the surface area of the given function over the specified triangle region.

Regarding the second part of your question about finding the surface area of the part of the plane 10x + 9y + z = 7 that lies inside the elliptic cylinder 16 = 1/49, more specific information is needed. The equation provided for the elliptic cylinder seems to be incomplete.

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Answer:

She will lose 24 pounds.

Step-by-step explanation: She loses 4 pounds each month. She does this for 6 months. So, you would do 4 x 6 = 24. Hope this helps ^-^.

Answer:

195 Cm

Step-by-step explanation:

13x15=195

The missing pacing is approximately 0.811.

To determine the missing pacing, we can use the concept of the pace factor. The pace factor is the average distance covered in one pace.

Given data:

- Line AB: Average number of paces = 15

- Line BC: Average number of paces = 18

- Area of the lot: 177.74 \(m^2\)

First, we need to calculate the total distance covered for lines AB and BC. Since we know the pace factor, we can multiply the average number of paces by the pace factor to find the total distance:

Distance AB = Average number of paces (AB) * Pace factor

Distance AB = 15 * Pace factor

Distance BC = Average number of paces (BC) * Pace factor

Distance BC = 18 * Pace factor

Since the lines AB and BC are perpendicular to each other, the area of the lot can be calculated as the product of the distances AB and BC:

Area of lot = Distance AB * Distance BC

Now we can solve for the missing pacing:

177.74 = (15 * Pace factor) * (18 * Pace factor)

177.74 = 270 * \((Pace factor)^2\)

Dividing both sides by 270:

\((Pace factor)^2\) = 177.74 / 270

\((Pace factor)^2\) ≈ 0.658

Taking the square root of both sides:

Pace factor ≈ √0.658

Pace factor ≈ 0.811

Therefore, the missing pacing is approximately 0.811.

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The cost of advance ticket is $35 and same-day ticket is $25.

What is meaning of cost?

The sum paid, levied, or equal amount for something: price. The average price of a college degree has significantly increased. the cost or expense (as in labor or sacrifice) incurred to accomplish a goal.

Given that, there are two types of tickets. One is advance ticket and other is same-day.

Assume that the cost of advance ticket be x and the cost of same-day be y.

The combine cost of advance ticket and same-day ticket is $60.

Therefore,

x + y = 60

y = 60 - x .....(i)

The cost of 25 advance ticket and 35 same-day ticket is 25x + 35y

According to the question,

25x + 35y = 1750 .....(ii)

Substitute y = 60 - x in equation (i)

25x + 35(60 - x) = 1750

25x + 2100 -35x = 1750

-10x = 1750 - 2100

-10x = -350

Divide both sides by -10:

x = 35

Putting x = 70 in equation (i):

y = 60 - 35

y = 25

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First, we can simplify the equation by isolating the variable on one side:

2√x + 6 - 3 = 19

2√x + 3 = 19

2√x = 16

√x = 8

Now we can square both sides of the equation to isolate x:

(√x)² = 8²

x = 64

Therefore, the solution to the equation 2√x + 6 - 3 = 19 is x = 64, which corresponds to answer choice (e).

Hope this helped (:

You will be calculate the function F(G) = f(g(x)) and G(F) = g(f(x)).

What is function ?

A function is a kind of rule that, for one input, it gives you one output. Image source: by Alex Federspiel. An example of this would be y=x2. If you put in anything for x, you get one output for y. We would say that y is a function of x since x is the input value.

Have given ,

Two functions , f(x) and g(x)

The composition of two functions g and f is the new function we get by performing f first, and then performing g. For example, if we let f be the function given by f(x) = x2 and let g be the function given by g(x) = x + 3, then the composition of g with f is called gf and is worked out as gf(x) = g(f(x)) .

So , You will be calculate the function F(G) = f(g(x)) and G(F) = g(f(x)).

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Answer:

The answer should be y = -\(\frac{3}{2}\)\(x\) + 8, but its not one of the answers, so check the question again.

Step-by-step explanation:

If the second line is parallel, then the gradient will be the same:

y = -\(\frac{3}{2}\)\(x\) + c

Find what c is (y-intercept) by inputting the given point into the equation (4,2):

2 =  (-\(\frac{3}{2}\) x 4) + c

2 = -6 + c

c = 8

The probability that a randomly chosen specimen has an acceptable hardness is 0.7887. 

The Rockwell hardness of a metal is determined by impressing a hardened point into the surface of the metal then measuring the depth of penetration of the point. Suppose the Rockwell hardness of a particular alloy is normally distributed with mean 70 and standard deviation 3.

The specimen is acceptable only if its hardness is between 67 and 75.

We need to find the probability that a randomly chosen specimen has an acceptable hardness.

Given that the Rockwell hardness of a particular alloy is normally distributed with mean μ = 70 and standard deviation σ = 3.

Let X be the Rockwell hardness of the alloy.

Then, X ~ N(70, 3)

We need to find the probability that a randomly chosen specimen has an acceptable hardness, i.e.,

P(67 < X < 75) = P((67-70)/3 < (X-70)/3 < (75-70)/3)P(-1 < Z < 5/3)

Using a standard normal table, we get

P(-1 < Z < 5/3) = Φ(5/3) - Φ(-1) = 0.9474 - 0.1587 = 0.7887

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Answer:

9.9\(cm^{3}\)

Step-by-step explanation:

Formula:

1/3(area of the base x height)

1/3 [2.175(2.175)(6.3)]

1/3(4.730625)(6.3)

1/3(29.8029375)

9.9343125

Is the perimeter of the base is 8.7, we need to divide that by 4 (2.175) to find out the side length of the square.  The area of the square, we need to multiply 2.175 by 2.175.

9.9343125 rounded to the nearest tenth is 9.9

Helping in the name of Jesus.

1. (3/4)x = 9. Multiply both sides by the reciprocal of 3/4: (4/3)(3/4)x = (4/3)(9)

x = 12.

2 . -4=4/7*x

        4x/7=-4

             x=-7

3. -1/5*x=6

     -x/5=6

Multiply all terms by the same value to eliminate fraction denominators

Cancel multiplied terms that are in the denominator

x=-30

With an example, what is a reciprocal equation?

An inverse of a number or value is referred to as reciprocal. If x is any real number, then 1/x will be the reciprocal of that number. For instance, 1/8 is the reciprocal of 8, which is 1 divided by 8. 1/8's reciprocal is equal to 8.

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Answer:

27.20seconds

Step-by-step explanation:

hope this helped,brainliest?

Answer:

no there will never have the same amount in their accounts at any point

Step-by-step explanation:

The number A(t) of pounds of salt in the tank at time t is, \(A(t) = 1200(1-e^-^0^.^0^1^t)\).

What is pounds and gallons?

The name of a unit of currency is pound. Both presently and in the past, it was employed in many different nations.

A gallon, which is equal to eight pints or 4.564 liters, is a unit of measurement for liquids.

Let A(t) be the number of pounds of salts at time t.

Input rate = (4 Ib/gal)(3 gal/min) = 12 Ib/min

Output rate = ((a/300) Ib/gal )(3 gal/min) = 0.01a Ib/min

\(\frac{dA}{dt} = 12 - 0.01A\\ \frac{dA}{dt} + 0.01A = 12\\\)

\(I.F = e^\int\limits^{0.01}\, ^d^t = e^0^.^0^1^t\)

Solution:

\(A(e^0^.^0^1^t)=\int\limits{12(e^0^.^0^1^tdt+c}\\= 12(\frac{e^0^.^0^1^t}{0.01} +c\\Ae^0^.^0^1^t = 1200 e^0^.^0^1^t + c\\A = 1200 + ce^-^0^.^0^1^t\\\\A(0) = 0\\So,\\0 = 1200 + c\\c = -1200\\A(t) = 1200 - 1200e^-^0^.^0^1^t\\A(t) = 1200(1-e^-^0^.^0^1^t)\)

This is the number of pounds of salt in the tank at time t.

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(A+B)′(C+D+E)′+(A+B)′ simplified to (A+B)′

AB+ABC+ABCD+ABCDE+ABCDEF simplified to AB

To simplify the expression (A+B)′(C+D+E)′+(A+B)′, we notice that both terms have the factor (A+B)′ in common. By factoring it out, we get (A+B)′[(C+D+E)′+1]. The term (C+D+E)′+1 can be simplified to 1, since any expression ORed with 1 evaluates to 1. Therefore, the expression reduces to (A+B)′.

The expression AB+ABC+ABCD+ABCDE+ABCDEF can be simplified by observing that each term contains the factor AB. By factoring out AB, we get AB(1+C+CD+CDE+CDEF). Similar to the previous step, the terms within the parentheses can be simplified to 1, resulting in AB(1), which is equivalent to AB.

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Answer

• a) Range: (-∞, –1)

• b) Horizontal asymptote when x ≤ 2: y = –3. Vertical asymptote when x > 2: x= 2. Horizontal asymptote when x > 2: y = –1.

• c) When x decreases, it approaches –3, and when x increases, it approaches –1.

Explanation

• Part A: Graph the piecewise function f (x) and determine the range.

Using a graphing tool we can get the following graph:

As the range is all the y-values included in the function, we can see that in this case, the range is:

• Part B: Determine the asymptotes of f (x). Show all necessary calculations.

We have to get the asymptotes from the part where x ≤ 2 and x > 2.

In x ≤ 2 we do not have a vertical asymptote as it is not a rational function, but we do have a horizontal asymptote, which is y = k when we have the function:

Thus, in our case y = –3.

In x > 2, we do have a vertical and horizontal asymptote. We can get the vertical asymptote by setting the denominator of the function to 0:

If we solve the expression by factoring we get two solutions:

Based on our function we can see that the vertical asymptote is x = 2 when x > 2. Then, the horizontal asymptote can be calculated with the limit:

Thus, our horizontal asymptote is y = –1 when x > 2.

• Part C: Describe the end behavior of f (x).

The end behavior of a function is how the function acts when x increases or decreases. Based on our graph we can see that when x decreases, it approaches –3, and when x increases, it approaches –1.

Answer:

m = -3m+3n/-2b

Step-by-step explanation:

Slope is expressed as;

m = y2-y1/x2-x1

Given the coordinates (a+b,4m-n) and (a-b,m+2n)​

m = (m+2n)-(4m-n)/(a-b)-(a+b)

m = m+2n-4m+n/a-b-a-b

m = m-4m+2n+n/a-a-b-b

m = -3m+3n/-2b

Hence the required slope is m = -3m+3n/-2b

Answer:

S = 38 degrees

Step-by-step explanation:

If the sides ST and TU are the same and T equals 38, then S is 38 too.

Answer:

likely ❤️❤️❤️❤️❤️❤️❤️