So confused on the last question! Could somebody help me? :)

We should be cautious about making predictions that are far outside the range of the data used to create the line of best fit.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

Based on the line of best fit shown in the scatterplot, we can see that there is a positive linear relationship between the high temperature and the number of hot cocoas sold.

The equation of the line of best fit appears to be y = 23.25x - 705.5, where y represents the number of hot cocoas sold and x represents the high temperature.

To make a prediction for a high temperature of 54, we substitute x = 54 into the equation and solve for y:

y = 23.25x - 705.5

y = 23.25(54) - 705.5

y = 694.5 - 705.5

y = -11

According to this prediction, if the high temperature is 54, Josue would sell approximately -11 hot cocoas. However, this result doesn't make sense, as we can't sell a negative number of hot cocoas.

It's possible that the line of best fit is not an accurate model for the data at very high or very low temperatures, or that there are other factors besides temperature that affect hot cocoa sales.

Therefore, we should be cautious about making predictions that are far outside the range of the data used to create the line of best fit.

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Since the electorate have decided that Senator Wiggins is the best candidate for the position. The  logical form of this argument is option b. Disjunctive Syllogism

The argument is presented in the form of a disjunctive syllogism, which involves a logical form that states that either one of two alternatives must be true, and one of them has been found to be true; therefore, the other must be false.

In this case, the two alternatives are:

Thus, the logical form of the argument is:

Either A or B.

Not A.

Therefore, B.

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Option C i.e. number line with closed circle on negative 2 with arrow shaded right represents the solution to the inequality.

What is inequality?

An inequality is a comparison relationship between two or more mathematical expressions.

We are given an inequality as 0.5 is greater than or equal to the product of a number and −0.25.

Let the number be x.

So, from the above information, we get the inequality as

0.5 ≥ -0.25x

Now, on solving the above inequality, we get the following

0.5 ≥ -0.25x

On multiplying by -1, we get

⇒-0.5 ≤ 0.25x

On dividing both sides by 0.25, we get

⇒-2 < x

Hence, Option C i.e. number line with closed circle on negative 2 with arrow shaded right represents the solution to the inequality.

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The cash discount is $353.20 and the net amount due is $17,306.80.

Conditions of sale are the rules that govern a business transaction, including the cost, the method of payment, the delivery, and any other pertinent information. Normally, they are specified in a sales contract or invoice and acknowledged in advance of the transaction. The conditions of sale might alter based on the type of products or services being exchanged, the volume and complexity of the deal, and other elements.

We know that,

Cash discount = amount x discount rate

Net amount due = amount - cash discount

For 2/10:

Cash discount = $17,660 x 2% = $353.20

Net amount due = $17,660 - $353.20 = $17,306.80

Hence, the cash discount is $353.20 and the net amount due is $17,306.80.

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Answer:x=18

Step-by-step explanation:

12/x=16/24

12/x=2/3

x=12*2/3

x=18

Answer:

8

Step-by-step explanation:

4 + 2 (5 - 3) = 8

hope this helps :))

The value of c is given as follows:

c = -1.235.

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

For this problem, we have that P(z > c) = 0.8914, meaning that Z when X = c has a p-value of 1 - 0.8914 = 0.1086, hence the value of c is given as follows:

c = -1.235.

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Answer:

1 term (monomial).

Step-by-step explanation:

A term includes at least either a number, a variable, or both together, and can have more than one.

In this case, there is 1 term, which denotes that a variable, has an exponent of 9.

[tex]b^9[/tex] is one term.

Examples of more than 1 term can include:

[tex]b^9 + 1[/tex] , which is two terms (Binomial).

[tex]a^2 + b + 3[/tex] is three terms (Trinomial).

* One thing to note is to always simplify when possible.

~

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The value representing the lower quartile of the data is given as follows:

17.5.

From left to right, the five features of the box and whisker plot are listed as follows

For the plot described in this problem, the features are given as follows:

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Step-by-step explanation:

factors of 14: 1, 14, 2, 7

factors of 22: 1, 22, 2, 11

factors of 30: 1, 30, 2, 15, 3, 10, 5, 6

factors of 25: 1, 25, 5, 5

Answer:

Factors 14 : 1, 14, 2, 7
Factors 22 : 1, 22, 2, 11
Factors 30 : 1, 30, 2, 15, 3, 10, 5, 6
Factors 25 : 1, 25, 5

Answer:

pemdas

Step-by-step explanation:

pemdas means Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction

you always want to go left to right

when using pemdas.

example 4^5 • (9-8)

you start from left to right

we would work in parentheses because that is what pemdas said to do.

Answer:Let's convert hours to minutes:

Now we have:

44 minutes to 300 minutes

We write the ratio as a fraction:

We can reduce both the numerator and denominator by 4, to get:

The correct answer is:

Step-by-step explanation:

The side lengths from least to greatest are HJ, HI, IJ, JK and IK

A triangle is a three-sided polygon that consists of three edges and three vertices.

Angle H is 67 degrees

∠HIJ is 51 degrees

∠HJI is 61 degrees

Angle K is 63 degrees

∠KJI is 70 degrees

∠KIJ is 57 degrees

From least to greatest

HJ<HI<IJ<JK<IK

Hence, the side lengths from least to greatest is HJ, HI, IJ, JK and IK

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Answer:

D or B

Step-by-step explanation:

from my perspective, that doesn't look like a or b, and it looks like it's 90 degrees. But it could also be "We need more information to solve this problem, due to it all being x. i hope I'm correct, sorry if I'm not, and Goodluck!!!!!

The Area would be 4ft because 2x2=4 its basic multiplication,

And I don't really understand why you also put 6ft but if you're saying 2ft x 6ft then that would be 12ft.

Hope that helps <3

Answer: 9 and 3

Step-by-step explanation: Depends the signs +/- and the problem.

Answer:

the answer is 28
4+62 = 66
66x2 = 132
132-20 = 112
112 divided by 4 = 28

hope this helps <3

Answer:

28

Step-by-step explanation:

i hope this helps

If 4 men, each working an 8-hour day, have to complete 224 hours of work, then the number of days required to complete the work is:

Total number of hours of work / Number of hours of work done by 4 men in a day

= 224 / (4 x 8)

= 7

So, it will take 4 men, each working an 8-hour day, 7 days to complete the project.

II. Each of the 4 men will work for 7 days, and each man works 8 hours a day. So, the total number of hours worked by all the men is:

Total number of men x Total number of days x Number of hours worked by each man per day

= 4 x 7 x 8

= 224 hours

Therefore, the total cost of employing all 4 men is:

Total number of hours x Rate per hour

= 224 x $57.50

= $12,880

III. If the 4 men have to complete the project in 4 days, then the number of hours of work they have to do each day is:

Total number of hours of work / Total number of days to complete the project

= 224 / 4

= 56 hours

Each man works 8 hours a day, so the total number of hours of overtime they have to put in per day is:

Number of hours of work per day - Number of hours worked by each man per day

= 56 - 8

= 48 hours

Therefore, each man must put in 6 hours of overtime per day to complete the project in 4 days.

IV. If the overtime rate of payment is l times as much as the regular hourly rate, then the overtime rate of payment is:

l x $57.50

= $57.50l

Let the overtime rate of payment be $r per hour. Then:

r = $57.50l

The cost of the project is the sum of the cost of regular hours and the cost of overtime hours. The cost of regular hours is:

Number of regular hours x Regular hourly rate

= 4 x 8 x 7 x $57.50

= $16,240

The cost of overtime hours is:

Number of overtime hours x Overtime hourly rate

= 4 x 6 x 7 x $57.50l

= $12,180l

So, the total cost of the project is:

Total cost = Cost of regular hours + Cost of overtime hours

= $16,240 + $12,180l

Answer:

Step-by-step explanation:

(i) To complete the project, 4 men will need to work a total of 224 hours. Each man works for 8 hours per day. Therefore, the number of days it will take to complete the project is:

Number of days = 224 total hours / (4 men x 8 hours/day) = 7 days

So it will take 4 men, each working 8 hours per day, 7 days to complete the project.

(ii) Each man is paid $57.50 per hour, and they will work for a total of 7 x 8 = 56 hours altogether. Therefore, the total cost of employing them all is:

Total cost = 4 men x $57.50/hour x 56 hours = $12,320

(iii) If the project is to be completed in 4 days, each man will need to work for a total of:

224 total hours / (4 men x 4 days) = 14 hours per day

Since each man already works for 8 hours per day, they will need to put in an additional 6 hours of overtime per day to complete the project in 4 days.

(iv) The regular hourly rate is $57.50 per hour, and the overtime rate is 1.5 times the regular hourly rate (150% of the regular hourly rate). Therefore, the overtime rate is:

Overtime rate = $57.50 x 1.5 = $86.25/hour

To find the total cost of the project, we need to add the cost of the regular hours and the cost of the overtime hours. The cost of the regular hours is:

Regular hours cost = 224 regular hours x $57.50/hour = $12,880

The cost of the overtime hours is:

Overtime cost = (4 men x 6 overtime hours/man/day x 4 days) x $86.25/hour

= 96 x $86.25

Therefore, the total cost of the project is:

Total cost = Regular hours cost + Overtime cost

= $12,880 + $8,280

= $21,160

where the overtime rate is 1.5 times the regular hourly rate.

The slope of the linear function is given as follows:

3/2.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The slope represents the rate of change of a linear function, meaning that it is calculated as the change in y divided by the change in x.

Considering points (-4,-4) and (-2, -1), we have that when x increases by 2, y increases by 3, hence the slope is given as follows:

m = 3/2.

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Accordingly, if Britta only paid the interest during her two years of education, she would accrue about $33,782 in interest over the course of her loan.

The sum of money that a borrower must give a lender as interest is compensation for the use of borrowed funds. It is typically computed as a percentage of the principal, which is the amount borrowed, and is repaid alongside the principal over a predetermined amount of time. The cost of the lender, the likelihood of a default, and the desire for credit in the economy are just a few of the variables that affect the interest rate, or the percentage charged for borrowing the money.

given

We can use the following method to determine the total interest paid:

Principal x Interest Rate x Duration equals total interest.

where Principal denotes the sum borrowed, Interest Rate denotes the annual interest rate (in decimal form), and Time denotes the number of years over which interest will accrue.

Assume Britta took out a $50,000 loan to pay for her schooling.

Therefore, the amount of her loan at the conclusion of that time frame would be:

$50,000 x 1.06^2 = $56,420

The interest that will be charged on this balance for the remaining 10 years and 6 months of the loan period needs to be calculated now. Using the above method, we obtain:

$56,420 multiplied by 0.06 times 10.5 equals the total interest, or $33,782.

Accordingly, if Britta only paid the interest during her two years of education, she would accrue about $33,782 in interest over the course of her loan.

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By answering the supplied question, we may infer that the response is square  Because 1 cm³ = 1 mL, one of the new juice cartons has a capacity of 264 cubic centimeters or 264 milliliters.

What is a square?

According to Euclidean geometry, a square is an equilateral quadrilateral having four equal sides and four equal angles. It is sometimes referred to as a rectangle with two adjacent sides of the same length.

A square is an equilateral quadrilateral because it has four equal sides and four equal angles. Square angles are those that are 90 degrees or straight.

The diagonals of the square are also equally spaced and divided at a right angle. a nearby rectangle with two sides of identical length.

a quadrilateral with four equal-length sides and four right angles. two neighboring, equal sides that create a right angle in a parallelogram. an equilateral rhombus.

By dividing the base area by the height, one may get the volume of a square-based box. Thus, we can use the following formula to determine the juice box's volume:

Volume equals base area times height.

We may enter the numbers 22 cm² for the base area and 12 cm for the height into the formula to obtain the following results:

Volume equals 22 x 12 cm²

These values are multiplied together to produce:

Size = 264 cm³

Hence, Because 1 cm³ = 1 mL, one of the new juice cartons has a capacity of 264 cubic centimeters or 264 milliliters.

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As a result, there is roughly 0.4664 of an area under the standard normal curve between Z= -1.83 and Z= 0.

Area is the overall space occupied by a three-dimensional object's surface. Square units like square meters or square feet are used to quantify it. By adding up the areas of all an item's faces or surfaces, the surface area of the object can be calculated. For instance, since a cube has six faces, the surface area of a cube can be determined by finding the area of one face and multiplying it by six. Similar to this, one can determine the surface area of a sphere by calculating the area of its surface using the formula 4r2, where r is the sphere's radius.

given

To determine the region under the standard normal curve between Z=-1.83 and Z=0, we can use a standard normal chart or a calculator.

Using a normalised standard table:

Z=-1.83 corresponds to a region of 0.0336. (from the table).

The region is 0.5 to the west of Z= 0. (from the table).

Therefore, 0.5 - 0.0336 = 0.4664 is the region between Z= -1.83 and Z= 0.

Calculator usage

Calculator's normalcdf algorithm can be used to determine the region between Z=-1.83 and Z=0. We calculate normalcdf(-1.83, 0) = 0.4664 using the tool.

As a result, there is roughly 0.4664 of an area under the standard normal curve between Z= -1.83 and Z= 0.

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Answer:

0

Step-by-step explanation:

2(1)*(1-(1))²=0

plug in 0 for everywhere you see x

the answer is r6 because of the end result

The value of x for the given expression is x = 7 and x = 3.

A mathematical expression with the form ax² + bx + c, where a, b, and c are constants and x is a variable, is known as a quadratic expression. The graph of a quadratic expression can be represented by a U-shaped parabola. The y-intercept of the parabola is determined by the constant term c, whereas the coefficient a decides whether the parabola opens up or down.

The given expression is:

1.5x² - 15x + 31.5x = 0

The quadratic formula is given as:

x = -b ± √b² - 4ac / 2a

x = 15 ± √(15)² - 4(1.5)(31.5) / 2(1.5)

x = 15 ± 6 / 3

x = 15 + 6 / 3 and x = 15 - 6/3

x = 7 and x = 3

Hence, the value of x for the given expression is x = 7 and x = 3.

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Answer: 15

Step-by-step explanation: to find a percent of a number you use the formula :  ( % x N )/100 where N is the number you are trying to find the percent of. So here 15x100= 1500 and this divided by 100 is 15

Answer:

15

Step-by-step explanation:

of means "x"

15% of which were well done

who is the which they refer here?

15% of 100 burgers were well done

15% x 100 burgers

15/100 x 100 burgers = ans

The features of the rational function are listed below:

Domain: All real numbers except x = 5.

Range: All real numbers except f(x) = 3.

Vertical asymptote: x = 5

Horizontal asymptote: f(x) = 3

x-Intercept: x = 16 / 3

y-Intercept: f(0) = 16 / 5

In this problem we find the definition of a rational function:

f(x) = - 1 / (x - 5) + 3

Whose features introduced below must be derived:

Domain

Domain of rational functions are all real numbers expect when x - 5 = 0.

Dom {f(x)} = R - {5}

Range

Range of rational functions are all real numbers except horizontal asymptote.

Ran {f(x)} = R - {3}

Vertical asymptote

x = 5

Horizontal asymptote

f(x) = 3

x-Intercept

- 1 / (x - 5) + 3 = 0

1 / (x - 5) = 3

1 = 3 · (x - 5)

1 = 3 · x - 15

3 · x = 16

x = 16 / 3

y-Intercept

f(0) = - 1 / (0 - 5) + 3

f(0) = 1 / 5 + 3

f(0) = 16 / 5

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Answer:

The volume of the ice cream scoop is less than the volume of the cone. So, when the ice cream melts, it will fit in the cone without overflowing.

Answer:

points cuzo

but if i find it out i will edit

Step-by-step explanation:

Answer:

Step-by-step explanation:

14.7 N