5. Donte is buying turkey at the deli counter to make sandwhiches for
lunch. He buys11\5bs of turkey at$5.42
per pound, How much
money did Donte spend at the store?

The dimensions that will minimize the cost of constructing this box is length = 56in , depth = 0.13in and height = 46.6inch

According to the question,

Volume of Rectangular box = 350 in³

Let Area of base of box = l × b

Let height of box be h

So , V = lbh

=> 350 = lbh

=> h = 350/lb ------------(1)

To Minimize the cost,

Total Area = base area + front lateral Area

Front lateral Area = lh + (2b + l) h

So, Total area =  lb + lh + (2b + l) h

Substituting value of h from equation (1)

=> TA =  lb + l( 350/lb) + (2b + l) (350/lb)

Cost function =>

C = 5lb + 10(350/ b) + 3(2b + l)(350/lb)

Solving,

C = 5lb + 3500/b + 2100/l + 1050/b

=> C =  5lb + 4550/b + 2100/l is required cost function

Now, To minimize the cost

We will differentiate Cost function w.r.t a and b

C' = 5b - 2100/l² = 0 ----------(2)

C' = 5a - 4550/b² =0 -----------(3)

Solving both using substitution method

=> b = 420/l²

=> 5lb² = 4550

=> lb² = 910

=>176400/l³ = 910

=> l³ = 176400/910

=> l = 56 in

putting value of a,

b = 0.13 in

Therefore ,

height =  350 / 7.5

=> h = 46.67 in

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The profit will be $181.25 if the price is $40 for the given quadratic function.

To find the profit, you need to determine the value of x that gives the maximum profit. To do this, you can use the formula for the vertex of a quadratic function.

The vertex form of a quadratic function is given by:

f(x) = a(x - h)²+ k

where (h, k) is the vertex of the parabola.

As per the question, the quadratic function is given by:

f(x) = (x - 34)(61 - x)

To put this function in vertex form, you can expand the product and rearrange the terms to get:

f(x) = x² - 95x + 2214

Comparing this to the general form of a quadratic function, we can see that a = 1, h = 95/2, and k = 2214.

Therefore, the vertex of the parabola is (47.5, 2214). This is the point at which the profit is maximized.

To find the profit at this point, you just need to substitute x = 47.5 into the original function:

f(47.5) = (47.5 - 34)(61 - 47.5) = 13.5 x 13.5 = 181.25

Thus, the maximum profit is $181.25.

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The total surface area of the solid shape made from the cube and cylinder is approximately 583.31 cm².

The side length of the cube is 8.7 cm, so the surface area of one face is A = 8.7²

= 75.69 cm²

Since there are six faces, the total surface area of the cube is 6 * 75.69 = 454.14 cm²

Since there are two circular bases, the total surface area of the bases is 2 * 22.91 = 45.82 cm².

In this case, the radius of the cylinder is 2.7 cm and the height is 4.9 cm, so the curved surface area is A_curved = 2 * π * 2.7 * 4.9 ≈ 83.35 cm².

Total surface area = surface area of the cube + surface area of the cylinder

Total surface area = 454.14 cm² + 45.82 cm² + 83.35 cm²

Total surface area ≈ 583.31 cm²

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The "ratio" is used as the scale of measure for this variable.

The ratio scale is the highest level of measurement that includes all the properties of the interval scale (equal intervals) and the true zero point. This means that with ratio data, we can not only compare the values but we can also make meaningful statements about the differences between them, and we can perform mathematical operations, such as addition and multiplication.

In this case, the ages of the respondents are recorded as whole numbers, which represent the number of years they have lived. This type of data has a true zero point, meaning that zero years of age represents an absence of the characteristic being measured. Therefore, this scale is considered a ratio scale.

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--The given question is incorrect; the correct question is

"A researcher asks the following question on a survey:

Data are displayed below: Age of respondents 90 80 70 60 50 40 9 10 20 10 0 What scale of measure is being used for this variable?

ratio

ordinal

interval

nominal"--

The linear function that models the situation is given as follows:

d = 0.85t.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:

y = kx.

The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.

The constant ratio for this problem is given as follows:

k = 0.83, as each division of d by t has a result of 0.83.

Hence the equation is given as follows:

d = 0.83t.

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Answer:

a 37

b 90

c 39

d r0

Step-by-step explanation:

Answer:

10.74666666666667 per quart

Step-by-step explanation3 divided 36.24

Answer: 120

Step-by-step explanation: I got it right, hope this helps ✨

Answer:

he has I20 different ways to put the books

Step-by-step explanation:

to solve this you would multiply 5x4x3x2 this is how many different combinations he can but the note book on the shelf. 5x4x3x2 is equal to 120

In the number 556,429, 5 have involve that is ten times the value of the number 5000.

The given numbers are 23,523, 7,508,240, 45,701 and 556,429.

Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.

Option A:

In the number 23,523, 5 is in the hundreds place. So, the value of 5 is 500.

In the number 7,508,240, 5 is in the hundred thousand place. So, the value of 5 is 500,000.

In the number 45,701, 5 is in the thousand place. So, the value of 5 is 5000.

In the number 556,429, 5 is in the ten thousand place and hundred thousand place. So, the value of 5 is 50000 and 500000.

Here, ten times the value of the number 5000 is 50000.

Therefore, in the number 556,429, 5 have involve that is ten times the value of the number 5000.

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Answer: The Gcf Of 4x-7 is equivalent to 1

Step-by-step explanation:

Answer:

B or (0,8)

Step-by-step explanation:

Answer:

(0,8)

Step-by-step explanation:

Answer:

I think it's maybe  -4

Step-by-step explanation:

Answer:

In 2012, the population of a city was 6.03 million. The exponential growth rate was 3.89% per year. Find the exponential growth function. Estimate the population of the city in 2018. When will the population of the city be 8 million? Find the doubling time. The exponential growth function is P(t) = 6.03e^0.0389t, where t is in terms of the number of years since 2012 and P(t) is the population in millions. (Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the equation.) The population of the city in 2018 is 7.6 million. (Round to one decimal place as needed.) The population of the city will be 8 million in about 7.3 years after 2012. (Round to one decimal place as needed.) The doubling time is about years. (Simplify your answer. Round to one decimal place as needed.)

Step-by-step explanation:

^^

Answer:

44

Step-by-step explanation:

Answer: 44

Step-by-step explanation:

This is quite simple, Are you sure you can't do it on your own?

Answer:

1/3

Step-by-step explanation:

P(rolling a number less than 5 by using a 6 sided die) = 4/6

Complement = 1 - 4/6

Complement = 2/6 = 1/3

Answer:

I believe it would be 2/3

Answer:

\(f'(x) = e^{x}(x^{3} + 3x^{2} + 1)\)

and \(f''(x) = e^{x}(x^{3}+6x^{2} + 6x + 1)\)

Step-by-step explanation:

From the question,

f(x) = (x3 + 1)ex

That is,

\(f(x) = (x^{3} +1)e^{x}\)

Then , we can write that

\(f(x) = x^{3}e^{x} +e^{x}\)

To find f'(x), we will differentiate \(x^{3}e^{x}\) and then add it to the differential of \(e^{x}\)

First, we will differentiate \(x^{3}e^{x}\),

Let \(y(x) = x^{3}e^{x}\) (This is a product)

Then,

\(f(x) = y(x) + e^{x}\)

Hence,

\(f'(x) = y'(x) + (e^{x})'\)

Given \(y(x) = u(x) v(x)\), Using the product rule

\(y'(x) = u(x).v'(x) + u'(x).v(x)\)

Hence,

\(y'(x) = x^{3}(e^{x})' + (x^{3})'e^{x}\)

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

and

\((e^{x})' = e^{x}\)

\(f'(x) = y'(x) + (e^{x})'\)

∴ \(f'(x) = x^{3}e^{x} + 3x^{2}e^{x} + e^{x}\)

\(f'(x) = e^{x}(x^{3} + 3x^{2} + 1)\)

For f ''(x)

To find f ''(x), will differentiate f '(x)

\(f'(x) = e^{x}(x^{3} + 3x^{2} + 1)\)

This is also a product, then we will apply the product rule

From the product rule,

Given \(y(x) = u(x) v(x)\), Using the product rule

\(y'(x) = u(x).v'(x) + u'(x).v(x)\)

Here, Let\(u(x) = e^{x}\) and \(v(x) = x^{3} + 3x^{2} + 1\)

Then,

\(f''(x) = e^{x}(x^{3} + 3x^{2} + 1)' + (e^{x})'(x^{3} + 3x^{2} + 1)\)

\(f''(x) = e^{x}(3x^{2} + 6x ) + (e^{x})(x^{3} + 3x^{2} + 1)\)

∴\(f''(x) = e^{x}(x^{3}+6x^{2} + 6x + 1)\)

Hence,

\(f'(x) = e^{x}(x^{3} + 3x^{2} + 1)\)

and \(f''(x) = e^{x}(x^{3}+6x^{2} + 6x + 1)\)

Answer:

Step-by-step explanation:

To write y as a function of x using the given functions, we can substitute the value of "a" in the first equation with the expression "-5x + 1" from the second equation.

Given:

y = -3a + 3

a = -5x + 1

Substituting the value of "a" in the first equation:

y = -3(-5x + 1) + 3

Now, let's simplify this expression:

y = 15x - 3 + 3

y = 15x

Therefore, y can be expressed as a function of x as:

y = 15x

The given sequence is

To find the explicit formula, first, we have to find the difference by subtracting two consecutive terms.

As you can observe, the difference is 4.

From the sequence, we observe that the first term is -7.

The formula for arithmetic sequences is

Now, let's replace the values we've got.

Then, we simplify.

Answer:

c- 44

180-136

Step-by-step explanation:

pls mark brainliest :)

Answer:

c.44

Step-by-step explanation:

∠D+136=180(properties of trapezium)

∠D=44

Answer:

The chance of 18.18 percent.

Step-by-step explanation:

9 red marbles

6 blue marbles

7 green marbles

11 yellow marbles

9+6+7+11=33

33 total marbles.

The chance of getting red marbles of the 33 is 27.27

The chance of getting blue marbles of the 33 is 18.18

The chance of getting green marbles of the 33 is 21.21

The chance of getting yellow marbles of the 33 is 33.33

Answer:

10000.

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hope its useful

Answer:

35

Step-by-step explanation:

35 because the two angles are added 22 and 123 = 145. 145-180=35

Answer:

84

34

27

Step-by-step explanation:

a) The terminal point is 0.896 radius length.

b) The value returned is -0.896.

We have,

The circle's radius is 3 units long and the terminal point is located at (−2.69,−1.33)

a. Since the circle's radius is 3 units long, we divide the x-coordinate by 3:

x-coordinate of terminal point: -2.69

Number of radius lengths to the right: -2.69 / 3 ≈ -0.896

However, since the angle is measured from the 3-o'clock direction, we consider it to be in the clockwise direction.

Thus, the number of radius lengths to the right is

Number of radius lengths to the right: -(-0.896) = 0.896

Therefore, the terminal point is 0.896 radius length.

b. Using Trigonometry

cos(h) = x-coordinate of terminal point / radius length

cos(h) = -2.69 / 3 ≈ -0.896

c. As, θ = h. From the given information, we have:

θ ≈ -0.896 radians

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Answer:

-DE+EF

Step-by-step explanation:

this is because DE is a negative vector because we are moving against the direction

The linear cost function is C(x) = 15x + 3250 and the cost function in marginal cost: $15; 150 items cost $5500 to produce is $ 5500 .

Let C(x) is that the total value, and x is that the range of things.

The slope "m" is named the cost and "b" is named the charge.

The value of m is $15 and the price of "x" is 150.

Total cost of 150 items are $5500

Substitute all the values within the equation (1) , we get

   5500 = 15 (150) + b

    5500 = 2250 + b

    3250 = b

Hence , linear cost function is given by C(x) = 15x + 3250

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Answer:

x = 11

Step-by-step explanation:

3x+1 = 2x+12 (subtract 2x from both sides)

x+1 = 12 (subtract 1 from both sides)

x = 11

So x is equal to 11