At a local pumpkin patch you can pick your own pumpkins. There is a $5 charge to enter the patch and then a $0.25 charge per pound of pumpkin. Let p
represent the weight of the pumpkin you choose and C(p)
represent the total cost of the pumpkin in terms of the weight of the pumpkin. Equation, in function notation:

To create a stemplot, we first need to separate the data into "stems" and "leaves." Each stem represents the first digit(s) of each data point, while each leaf represents the last digit(s). For example, if the data point is 12.3, the stem would be 12 and the leaf would be 3.

To make a stemplot, the data should be arranged in increasing order, and then separated into stems and leaves.

However, you can use the data given and arrange it in increasing order and separate it into stems and leaves to make a stemplot. A stemplot is a good way to check if the data follow a normal distribution quite closely, the more the data is spread out and the more symmetric it is, the more likely it is to follow a normal distribution.

Also, it is important to mention that from the given data, it is not possible to conclude if the percent change in this population has standard deviation of 2.5%. This parameter can only be estimated from a sample if it follows a normal distribution which is not clear from the given data.

Learn more about Stemplot here:

https://brainly.com/question/29174445

#SPJ4

The value of x for this problem is given as follows:

x = 5.

Hence the angle measures are given as follows:

We have that angles A and D are congruent for this problem, meaning that they have the same measure.

Hence the value of x is obtained as follows:

7x - 3 = 5x + 7

2x = 10

x = 5.

Hence the angle measures are given as follows:

More can be learned about angle measures at https://brainly.com/question/25716982

#SPJ1

Answer:

x=20

Step-by-step explanation:

i used mathaway, hope this helps

Answer: x=29

Step-by-step explanation: 4.2(9−x)+36=102−2.5(2x+2)

Use the distributive property to multiply 4.2 by 9−x.

37.8−4.2x+36=102−2.5(2x+2)

Add 37.8 and 36 to get 73.8.

73.8−4.2x=102−2.5(2x+2)

Use the distributive property to multiply −2.5 by 2x+2.

73.8−4.2x=102−5x−5

Subtract 5 from 102 to get 97.

73.8−4.2x=97−5x

Add 5x to both sides.

73.8−4.2x+5x=97

Combine −4.2x and 5x to get 0.8x.

73.8+0.8x=97

Subtract 73.8 from both sides.

0.8x=97−73.8

Subtract 73.8 from 97 to get 23.2.

0.8x=23.2

Divide both sides by 0.8.

x=

0.8

23.2

​Expand  

0.8

23.2

 by multiplying both numerator and the denominator by 10.

x=

8

232

​Divide 232 by 8 to get 29.

x=29

GRAPH

ANSWER: The probability is 1/35.

To determine the probability of selecting all yellow envelopes, we need to calculate the ratio of favorable outcomes (selecting three yellow envelopes) to the total number of possible outcomes (selecting any three envelopes without replacement).

The total number of envelopes is 2 red + 1 blue + 1 green + 3 yellow = 7 envelopes.

The number of ways to choose three yellow envelopes from the collection is given by the combination formula:

C(3, 3) = 1

The number of ways to choose any three envelopes from the collection is given by:

C(7, 3) = 7! / (3! * (7 - 3)!) = 7! / (3! * 4!) = (7 * 6 * 5) / (3 * 2 * 1) = 35

Therefore, the probability of selecting all yellow envelopes is:

P(all yellow) = favorable outcomes / total outcomes = 1 / 35

The probability is therefore 1/35.

Learn more about probability:

https://brainly.com/question/25839839

#SPJ11

Answer:

10

Step-by-step explanation:

68 screwdrivers will be leftover at the end of day.

A division is a process of splitting a specific amount into equal parts.

Given that At the Medal Factory, the assembly line produces 98 screwdrivers in a batch.

The screwdrivers are packaged in boxes with 12 each.

If 5 batches are made in one day

We need to find  how many screwdrivers will be leftover at the end of it.

12 screwdrivers in each batch.

So for 5 batches there are 5×12=60 screwdrivers.

The left screwdrivers are 98-60=38

Hence, 68 screwdrivers will be leftover at the end of day.

To learn more on Division click:

https://brainly.com/question/21416852

#SPJ2

Answer:

850 !!

Step-by-step explanation:

Answer: 8.5 as a percentage :

=8.5 * 100 = 850%

Step-by-step explanation: to convert from decimal to percent, just multiply the decimal value by 100

We have (123) different possibilities. Therefore, we can derive from the multiplication principle that there are 13(123) ways.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.

An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

The likelihood that an event will occur increases with its probability. A straightforward illustration is tossing a fair (impartial) coin.

The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half .

According to our question-

Let n be the maximum number of subsets of five elements that can be selected from the first 14 natural numbers,

with at least two of the five numbers being consecutive.

I have made a block of two consecutive numbers (like (1,2),(2,3),(13,14) etc.).

Now we can choose this block in 13 ways. Now we have to choose 3 numbers from the rest 12 numbers.

Hence,  multiplication principle we come to know that there are  13×(123).

learn more about probability click here:

brainly.com/question/24756209

#SPJ4

The ratio of desktops to laptops in the store's inventory is 4:1.

To calculate the ratio, we divide the number of desktops by the number of laptops. In this case, there are 40 desktops and 10 laptops. Dividing 40 by 10 gives us a ratio of 4:1.

This means that for every 4 desktops, there is 1 laptop in the store's inventory. The ratio can also be interpreted as 80% of the computers in the inventory are desktops, while 20% are laptops.

Ratios are commonly used to compare quantities and express their relative sizes or proportions. In this case, the ratio of desktops to laptops provides information about the composition of the store's computer inventory, indicating that there are four times as many desktops as there are laptops.

For more such answers on Ratio

https://brainly.com/question/12024093

#SPJ8

Answer:

43

Step-by-step explanation:

sequence: +5

∴ninth term of sequence = 38+5

                                          = 43

Answer:

a) 12 (Simply divide 4800/5 to get 960.  Then divide 960/80 to get 12)

b) 2100 (Simply multiply 12 by 25 by 7)

Hope it helps <3

Answer:

77

Step-by-step explanation:

9,24,44

The value of the domain for f(2x) is 2 * 4 to 2 * 18 or 8 to 36.

The set of inputs that a function will accept is referred to as the domain of the function in mathematics. It is sometimes represented by the symbol dom(f), where f is the function.

The function f can be graphed in the Cartesian coordinate system in the specific case where X and Y are both subsets of R. In this instance, the graph's x-axis shows the domain as a projection of the function's graph there. It is a partial function in this instance, and the set of real numbers on which the formula may be evaluated to a real number is known as the natural domain or domain of definition of f.

To learn more about domain ,visit:

https://brainly.com/question/28135761

#SPJ4

The point that lies on the terminal arm of an angle of rotation determines its quadrant. In each of the other quadrants, there is a point with the same reference angle as the original point.

The point that lies on the terminal arm of an angle of rotation determines the quadrant in which the angle is located. The terminal arm is the line segment starting from the origin and extending to the point on the coordinate plane that corresponds to the angle.
In each of the other quadrants, there is a point with the same reference angle as the original point. The reference angle is the acute angle formed between the terminal arm and the x-axis.
For example, if the original point lies on the terminal arm in the first quadrant, the point in the second quadrant with the same reference angle would have the same x-coordinate but a negative y-coordinate. Similarly, the point in the third quadrant with the same reference angle would have negative x and y coordinates, and the point in the fourth quadrant would have a negative x-coordinate but a positive y-coordinate.
In summary, the point on the terminal arm of an angle determines the quadrant, and in each of the other quadrants, there is a point with the same reference angle as the original point.

learn more about quadrant here

https://brainly.com/question/29296837



#SPJ11

Answer: 4900

Step-by-step explanation:

Given:

x + 2y = 7

x - y = 7

To solve this simultaneously, let's use elimination method.

Step 1:

Subtract equation 2 from equation 1:

Subtx + 2y = 7

- x - y = 7

_________

3y = 0

Step 2:

Divide both sides by 3:

Since the provided equation is inconsistent, it cannot intersect.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Here,

we can see that the second set of equation,

4x+2y=12

20x+10y=30

4/20=2/10≠12/30

1/5=1/5≠2/5

The given equation is inconsistent so it does not intersect.

To know more about equation,

https://brainly.com/question/2228446

#SPJ1

Answer:

y=c+6

Step-by-step explanation:

this is the only equation I could think that fits the situation

hope this helped!

The lowest point on the graph occurs at point (3π/2,  -1)

One of the three fundamental functions in trigonometry, along with cosine and tan functions, is the sine function.

The ratio of the opposite side of a right triangle to its hypotenuse is known as the sine x or sine theta.

The sine function graph is sinusoidal in nature. This is a sim=ne wave that have smooth periodic oscillation

The attached graph shows sine function graph plotted with the interval [0, 2pi]

The lowest point is observed to occur at  (3π/2,  -1)

Learn more about sine function at:
https://brainly.com/question/21902442

#SPJ1

Answer:

0.02464456

Step-by-step explanation:

Since the exponent is a negative number we know that it is going to be below 1 which is why the answer looks very confusing

Answer: 1680 ft

Step-by-step explanation:

See attachment

The centrifugal compressor discharges 2500 cfm at a compression ratio of 1.2. We need to determine its operating characteristics (pressure and quantity) in the blower position given an atmospheric pressure of 14.5 psi (100 kPa).

To determine the operating characteristics in the blower position, we can use the compression ratio to find the discharge pressure. The compression ratio is the ratio of the discharge pressure to the suction pressure. Given that the compression ratio is 1.2, we can calculate the discharge pressure by multiplying the suction pressure (atmospheric pressure) by the compression ratio. Thus, the discharge pressure would be 1.2 times the atmospheric pressure.

Next, we can calculate the quantity of air discharged by the compressor in the blower position. The quantity of air is given as 2500 cfm (cubic feet per minute), which we can convert to m³/s by multiplying it by a conversion factor. Once we have the quantity of air, we can determine the operating characteristics in terms of pressure and quantity in the blower position.

In summary, given the compression ratio and the discharge quantity, we can calculate the discharge pressure by multiplying the compression ratio by the atmospheric pressure. Additionally, the quantity of air can be determined by converting the given discharge quantity to m³/s. These calculations will provide the operating characteristics (pressure and quantity) in the blower position for the centrifugal compressor.

Learn more about quantity here:

https://brainly.com/question/13968875

#SPJ11

Answer:

60

Step-by-step explanation:

400-160=240

240/4=60

The solution to the given expression 3(1/4 - 2) + |-7| is 7/4.

The expression is given as follows:

3(1/4 - 2) + |-7|

To solve the given expression, we need to follow the order of operations, which is PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

First, we need to simplify the expression inside the parentheses:

1/4 - 2 = -7/4

Next, we can simplify the expression by multiplying 3 by -7/4:

3(-7/4) = -21/4

Finally, we need to evaluate the absolute value of -7:

|-7| = 7

Substituting the values into the original expression, we get:

3(1/4 - 2) + |-7| = -21/4 + 7

Combining like terms, we get:

3(1/4 - 2) + |-7| = -21/4 + 28/4

Simplifying, we get:

3(1/4 - 2) + |-7| = 7/4

Therefore, the solution to the expression 3(1/4 - 2) + |-7| is 7/4.

Learn more about the PEMDAS rule here :

https://brainly.com/question/20876480

#SPJ1

The complete question is as follows:

Solve the below expression

3(1/4 - 2) + |-7|

The statement "double *num2;" declares a pointer variable named num2. Option D) "Declares a pointer variable named num2" is the correct answer.

The asterisk (*) before the variable name indicates that num2 is a pointer variable. Pointers are variables that store memory addresses rather than values directly. In this case, the pointer variable num2 is expected to hold the memory address of a double type variable. However, the statement does not initialize the pointer or assign any specific memory address to it.

Therefore, The statement "double *num2;" declares a pointer variable named num2. Option D) "Declares a pointer variable named num2" is the correct answer.

Learn more about pointer variable here

https://brainly.com/question/32414194

#SPJ4

The statement 'double *num2;' declares a pointer variable named num2.

The statement 'double *num2;' is used to declare a pointer variable named num2. In programming, a pointer is a variable that stores the memory address of another variable. The asterisk (*) is used to indicate that num2 is a pointer variable. The 'double' keyword is used to specify the type of variable that num2 can point to, in this case, a double variable.

About statement here:

https://brainly.com/question/17238106

#SPJ11

Answer:

14/50 or 28%

Step-by-step explanation:

THERE ARE 14 MALES WHO CHOSE INVISIBILITY AND 50 MALES IN TOTAL.

EZPZ

Answer:

15 cents

Step-by-step explanation:

2.25 /15 = .15

Answer:

The base is 1/4

The expanded form is (1/4)(1/4)(1/4)

(1/4)³ = 1/64

Step-by-step explanation:

The base is 1/4

The expanded form is (1/4)(1/4)(1/4)

(1/4)³ = 1/64

Answer:

Step-by-step explanation:

2. The expanded form is ( 1/4 ) ( 1/4) (1/4)

5. ( 1/4 ) to the 3rd power = 1/64

The Taylor series formula in summation notation f(t) = Σ[n=0 to infinity] { (1/n!)f^n(a)(t-a)^n } where f^n(a) denotes the nth derivative of f(t) evaluated at t = a.

Since the functions f(t) and g(t) have not been given in the question, I cannot provide a specific answer to this question. However, I can provide a general approach to finding the power series expansion of a function about a point.

To find the power series expansion of a function f(t) about a point t = a, we can use the Taylor series formula:

f(t) = f(a) + f'(a)(t-a) + (1/2!)f''(a)(t-a)^2 + (1/3!)f'''(a)(t-a)^3 + ...

where f'(a), f''(a), f'''(a), ... are the first, second, third, and higher-order derivatives of f(t) evaluated at t = a.

To find the first four nonzero terms of the power series expansion, we can calculate the values of f(a), f'(a), f''(a), and f'''(a) at t = a, substitute them into the Taylor series formula, and simplify the resulting expression. The first four nonzero terms will be the constant term, the linear term, the quadratic term, and the cubic term.

To find the general term of the power series expansion, we can write the Taylor series formula in summation notation:

f(t) = Σ[n=0 to infinity] { (1/n!)f^n(a)(t-a)^n }

where f^n(a) denotes the nth derivative of f(t) evaluated at t = a. The general term of the power series expansion is given by the expression in the curly braces. We can use this expression to find any term in the series by plugging in the appropriate values of n and f^n(a).

Learn more about Taylor series here

https://brainly.com/question/28168045

#SPJ11

The absolute maximum value of f(x) = -12x + 1 on the interval [1, 3] is -11, and the absolute minimum value is -35.

To find the absolute maximum and minimum values of the function f(x)=-12x + 1 on the interval [1, 3], we need to evaluate the function at the critical points and the endpoints of the interval.

Step 1: Finding the critical points by taking the derivative of f(x) and setting it to zero:

f'(x) = -12

Setting f'(x) = 0, we find that there are no critical points since the derivative is a constant.

Step 2: Evaluating f(x) at the endpoints and the critical points (if any) within the interval [1, 3]:

f(1) = -12(1) + 1 = -11

f(3) = -12(3) + 1 = -35

Step 3: After comparing the values obtained in Step 2 to find the absolute maximum and minimum:

The absolute maximum value is -11, which occurs at x = 1.

The absolute minimum value is -35, which occurs at x = 3.

Therefore, the absolute maximum value of f(x) = -12x + 1 on the interval [1, 3] is -11, and the absolute minimum value is -35.

Learn more about derivatives at:

https://brainly.com/question/28376218

#SPJ4