At Margaret's Bakery, the cost C in dolars, of making x loaves of bread is given by the function C(x) = 30 + 1.2x. According to the function, which of the following is true?
a. The total cost of making 50 loaves is less than the total cost of making 40 loaves. b. The total cost of making 50 loaves is equal to the total cost of making 40 loaves. c. The cost per loaf of making 50 loaves is less than the cost per loaf of making 40 loaves d. The cost per loaf of making 50 loaves is greater than the cost per loaf of making 40 loves

If f(x) = x - 5, then

f(h) = h - 5

f(x + h) = (x + h) - 5

(f(x + h) - f(x))/h = (((x + h) - 5) - (x - 5))/h

(f(x + h) - f(x))/h = (x + h - 5 - x + 5)/h

(f(x + h) - f(x))/h = h/h

(f(x + h) - f(x))/h = 1

since h ≠ 0.

The expressions of the functions are:

f(h) = h - 5

f(x + h) = x + h - 5

[f(x + h) - f(x)] / h = 1

Given the function f(x) = x - 5, let's calculate the following expressions:

f(h):

To find f(h), we substitute h into the function:

f(h) = h - 5

f(x + h):

To find f(x + h), we substitute (x + h) into the function:

f(x + h) = (x + h) - 5

= x + h - 5

[f(x + h) - f(x)] / h:

To find [f(x + h) - f(x)] / h, we substitute (x + h) and x into the function:

[f(x + h) - f(x)] / h = [(x + h) - 5 - (x - 5)] / h

= (x + h - x + 5 - 5) / h

= h / h

= 1

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Answer:

Volume: 512cm

Surface Area: 384 cm

Step-by-step explanation:

Volume formula: V= length x width x height

Surface Area formula: A= 6a^2 ; a = edge

Answer:

x = 20

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180° so we can write the following equation:

2x + 3x + 4x = 180 add like terms

9x = 180 divide bot sides by 9

x = 20

all angles have measures under 90° so it's an acute triangle and if angle measure are different from each oter e all side lengths would have different lengths so it's also a scalene triangle.

The smallest p-value is always associated with the z-score that is furthest away from the mean. This is because the tails of the normal distribution curve have less area and thus represent smaller p-values. The correct answer is option (d) z = -3.24.

In a hypothesis test, there are two hypotheses: the null hypothesis (H0) and the alternative hypothesis (H1).

The null hypothesis is the one we're testing, while the alternative hypothesis is the one we're trying to support or prove.

A two-tailed alternative hypothesis is one in which we are interested in whether a parameter is not equal to a certain value, as opposed to one-tailed alternative hypotheses, in which we are interested in whether the parameter is greater than or less than a certain value.

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Answer:

Her scroll wheel

Step-by-step explanation:

Hope this helped <3

Answer:

Scroll Bar

Step-by-step explanation:

Got this correct on the exam

The measure of variability easiest to compute, but seldom used as the only measure, is the range.

The range is the term that is used to refer to the difference that lies between the highest value and the lowest value in a data set while computing a statistical data.

The measures of variability are 4 in number. These are

Hence we can conclude that The measure of variability easiest to compute, but seldom used as the only measure, is the range.

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The correct equations of the parabola are y² = x, y² = 10x, and y² = 5x, making options C, D, and F the right choices.

A cone and a plane perpendicular to its side cross to form a symmetrical open plane curve known as a parabola. Under the influence of gravity, a bullet will travel along a curve that looks like this.

Lauren defines a parabola with a focus that has a positive, non-zero coordinate value in the posed query.

The parabola's equation of focus is given as:

y = a(x - h)² + k.

Among the given option, only the options:

y² = x,

y² = 10x, and

y² = 5x, satisfies this equation.

This proves that Lauren might be describing options C, D, or F.

Thus, the correct equations of the parabola are y² = x, y² = 10x, and y² = 5x, making options C, D, and F the right choices.

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The provided question is incomplete. The complete question is:

"Lauren describes a parabola where the focus has a positive, nonzero x coordinate. Which parabola(s) could Lauren be describing? Check all that apply.

x2 = 4y

x2 = –6y

y2 = x

y2 = 10x

y2 = –3x

y2 = 5x"

Answer:

Step-by-step explanation:

5/15=y/21

y=7

6/x=5/15

x=18

Answer & Step-by-step explanation:

\(Circumference=d\pi\)

The diameter of the circle is 24 mm. So, let's add in the diameter and find the circumference of the circle.

\(Circumference=(24)\pi\)

We will use 3.14 for pi.

\(Circumference=75.36\)

So, the circumference of the circle is 75.36 mm.

Answer:

The area of the shaded polygon is 31 square units.

Step-by-step explanation:

The procedure to calculate the area of the shaded irregular polygon is described below:

1) Calculate the area of the initial rectangle.

2) Calculate the areas of the four triangles.

3) Subtract the areas of the four triangles from the initial triangle.

\(A = (9)\cdot (6) - \frac{1}{2}\cdot (4)^{2} - \frac{1}{2}\cdot (5)\cdot (2) - \frac{1}{2}\cdot (2)^{2} - \frac{1}{2}\cdot (4)^{2}\)

\(A = 31\)

The area of the shaded polygon is 31 square units.

Answer:

8 ,9,10 they are adding by 4 to get the outputs

Answer:

8,9, and 10

Step-by-step explanation:

Add 4 to them and you get the answer.

The measure of angle A in triangle ABC is approximately 95.59 degrees. By using the dot product formula and the arccosine function, we can calculate the measure of angle A in triangle ABC.

By calculating the vectors AB and AC, finding their dot product, and determining their magnitudes, we can apply the cosine formula to find the cosine of angle A. Taking the inverse cosine (arccos) of the resulting value gives us the measure of angle A in degrees.

In the given case, angle A is approximately 95.59 degrees. This method allows us to determine the measure of an angle in a three-dimensional triangle using vector calculations and trigonometric functions.

To find the measure of angle A in triangle ABC, we can use the dot product formula:

cos(A) = (AB · AC) / (|AB| * |AC|)

where AB represents the vector from point A to point B and AC represents the vector from point A to point C.

First, let's calculate the vectors AB and AC:

AB = B - A = (5 - 1, -2 - 1, -5 - 7) = (4, -3, -12)

AC = C - A = (-2 - 1, 1 - 1, 3 - 7) = (-3, 0, -4)

Next, we calculate the dot product of AB and AC:

AB · AC = (4 * -3) + (-3 * 0) + (-12 * -4) = -12 + 0 + 48 = 36

Then, we calculate the magnitudes of AB and AC:

|AB| = √(4^2 + (-3)^2 + (-12)^2) = √(16 + 9 + 144) = √169 = 13

|AC| = √((-3)^2 + 0^2 + (-4)^2) = √(9 + 0 + 16) = √25 = 5

Now we can plug these values into the cosine formula:

cos(A) = (36) / (13 * 5) = 36 / 65

To find the measure of angle A, we can use the inverse cosine (arccos) function:

A = arccos(36 / 65) ≈ 95.59 degrees

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Answer:

E.24/7 tan(74) = opposite/advanced The length of the side opposite to the 74 degree angle is 24 units*The length of the side adjacent to the 74 degree angle is 7 units*If you substitute the value into the formula to obtain: tan(74) = 24/7 The correct answer is option E

Answer:

y= 9x-7

Step-by-step explanation:

Equation of a straight line:

y = mx + b ------(i)

Step by Step Solution:

Step 1:

y = 2, x = 1

By putting above values in equation (i)

2 = 9 (1) + b

2 = 9 + b

-7 = b

b = -7

y = 9x - 7

To compute the surface integral of a scalar-valued function f over a cone, we need to parameterize the cone's surface, evaluate f at each point, and integrate the product of f and the surface element.

To compute the surface integral of a scalar-valued function f over a cone using an explicit description of the cone, we need to parameterize the surface of the cone.

We need to define the cone explicitly by specifying its equation in terms of the variables x, y, and z. For example, a cone can be described by the equation z = k√(x² + y²), where k is a constant.

We need to parameterize the surface of the cone using two parameters, typically denoted by u and v. This involves expressing x, y, and z in terms of u and v.

Once we have the parameterization of the cone, we can compute the surface integral by evaluating the function f at each point on the surface and multiplying it by the magnitude of the surface element, which is given by the cross product of the partial derivatives of the parameterization.

We integrate the product of f and the surface element over the range of the parameters u and v to obtain the surface integral.

To compute the surface integral of a scalar-valued function f over a cone, we need to parameterize the cone's surface, evaluate f at each point, and integrate the product of f and the surface element.

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Answer:

a) 52

b) 21 + 6.25π

Step-by-step explanation:

Part (a)

the sides which we don't have:

(longer side): 7+6 = 13m

(shorter side): 13—8= 5m

So:

Perimeter = 2P = 13+5+7+8+6+13=52

Part (b)

perimeter of the half circle:

\(\pi \times {r}^{2} = \pi \times {2.5}^{2} = 6.25\pi\)

So:

Perimeter = 2P = 2×8 + 5 + 6.25π = 21 + 6.25π

Based on the given data, it appears to be a time series dataset where the number of games played by a football player is recorded for different years. The data includes two columns: "Year" and "Games Played."

In order to describe this dataset, a simple time series model would be suitable, such as an autoregressive integrated moving average (ARIMA) model. ARIMA models are commonly used for analyzing and forecasting time series data. This model takes into account the temporal order and autocorrelation of the data to make predictions or draw insights.

Other models that could be considered for analyzing this dataset include exponential smoothing models (e.g., Holt-Winters method) or more advanced machine learning models like recurrent neural networks (RNNs) or long short-term memory (LSTM) networks. However, the simplicity of the dataset may not require the complexity of these models, and a basic ARIMA model should suffice.

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Answer:

7, 14,21 28

4,8,12,16

Step-by-step explanation:

Answer:

8, 21, 16

Step-by-step explanation:

The ratio from sugar to cups is 7:4, which is 1.75.

Divide and multiply to solve.

14 / 1.75 = 8

12 * 1.75 = 21

28 / 1.75 = 16

Answer:

4.375

Step-by-step explanation:

2.5mil = 1hr

xmil = 1.75hr

x = 1.75 * 2.5

x = 4.375

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Answer:

(x+2)^2 - 6

Step-by-step explanation:

The fraction of the entire garden space Jenny uses for pink roses is 1/8.

A fraction represents the parts of a whole or collection of objects e.g 3/4 shows that out of 4 equal parts, we are referring to 3 parts.

Since Jenny uses half of the entire garden space to plant roses and She uses 1/4 of that space to plant pink roses. We can say:

fraction for roses = 1/2

fraction for pink roses = 1/4 * fraction of roses  

                                     = 1/4 * 1/2

                                     = 1/8

Therefore she uses 1/8 of the whole garden to plant pink roses.

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Complete Question

Jenny uses half of a garden space to plant roses. She uses 1/4 of that space to plant pink roses. What fraction of the entire space does Jenny use for pink roses?

Answer:

what the answer

Step-by-step explanation:

Answer:

sorry i dont have the answer i just need points

Step-by-step explanation:

-3 < x - 10​

10 is subtracting on the right, then it will add on the left.

-3 + 10 < x

7 < x

Sandra can save $3.48 by doing the oil change herself.

If Sandra does the oil change herself, she needs to purchase 5 quarts of oil and an oil filter.

The cost of the oil filter is $6.47.

The cost of 5 quarts of oil is 5 x $4 = $20.

Thus, the total cost of Sandra doing the oil change herself is $6.47 + $20 = $26.47.

If Sandra uses the coupon for the oil change, she pays $29.95 for the oil change.

The amount Sandra can save by doing the oil change herself is:

$29.95 - $26.47 = $3.48

what is total cost?

Total cost refers to the complete amount of money that must be paid to produce or obtain a good or service. It includes all expenses incurred in producing or acquiring the product or service, such as labor, materials, overhead, and any other costs associated with production or acquisition. Total cost is an important concept in business and economics, as it is used to calculate profitability and determine pricing strategies.

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Answer:

the third one

Step-by-step explanation:

because they both intersect at (4, -3 1/2)

Answer:

The Answer is Third one...

Step-by-step explanation:

Please mark as brainliest

Have a great day !

The negative sign (-) effects is based on some specific expression such as:

When (-) is applied to an exponential function, it may have two effects: it can negate the function's output, such as the example of:

f(x) = eˣ where -f(x) = -eˣ.

In terms of Negation flips function sign,  negative exponent changes base. If f(x) = (-e)ˣ, the base of the exponential function is -e instead of e. The function still grows or reduce based on if the x is positive or negative.

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Cam will have approximately $18,034.48 in his savings account when he finishes his studies.

Explanation:

Cam saved $270 per month for three years while working. Considering that money is worth 4.8% compounded monthly, we can calculate the total amount he will have in his savings account when he finishes his studies.

To find the future value, we can use the formula for compound interest:

FV = PV * (1 + r)^n

Where:

FV is the future value

PV is the present value

r is the interest rate per compounding period

n is the number of compounding periods

In this case, Cam saved $270 per month for three years, which gives us a present value (PV) of $9,720. The interest rate (r) is 4.8% divided by 12 to get the monthly interest rate of 0.4%, and the number of compounding periods (n) is 5 years multiplied by 12 months, which equals 60.

Plugging these values into the formula, we get:

FV = $9,720 * (1 + 0.004)^60

≈ $18,034.48

Therefore, Cam will have approximately $18,034.48 in his savings account when he finishes his studies.

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