Alyssa works as a sales representative in an electronics store. She earns a fixed daily wage plus a commission on the sales she makes. The table shows her earnings based on the amount of sales she makes in a day.

Total Sales ($) Daily Earnings ($)
0 80
200 110
500 155
800 200
1,200 260
The equation that gives Alyssa's daily earnings based on her total sales is .
When this data is plotted on a graph with a line connecting all the points, the y-intercept of the line represents and the slope of the equation represents .
In this scenario, the y-intercept is .

Answer:

unlimited is the weight

Step-by-step explanation:

Weight : 58283624946946784640469267619046404.4691649469464846404694956596894

The values that are a solution to the inequality are x<-1/4.

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.

Given:

The inequality are

7x +6/2 < 3x +2

According to given question we have

The expression is :

7x +6/2 < 3x +2

compare like terms we get

7x +6/2 < 3x +2

7x-3x<2-3

4x<-1

Divide both sides by 4 we get,

x<-1/4

Hence, the values that are a solution to the inequality are x<-1/4.

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From the set given, the variables we look is as follows

Cricket only

let the number of children for cricket be c = 15

cricket only = 15 - (8 - 5) - (6 - 5) - 5

= 15 - 3 - 1 - 5

= 6

neither cricket tennis nor swimming

tennis only = 18 - (8 - 5) - (9 - 5) - 5

= 18 - 3 - 4 - 5

= 6

swimming only = 17 - (6 - 5) - (9 - 5) - 5

= 17 - 1 - 4 - 5

= 7

tennis and swimming only = 9 - 5 = 4

tennis and cricket only = 8 - 5 = 3

swimming and cricket only = 6 - 5 = 1

tennis cricket and swimming = 5

cricket only = 6

neither cricket tennis nor swimming = all the children - sum of the variables found

= 32 - (6 + 6 + 7 + 4 + 3 + 1 + 5)

= 32 - (32)

= 0

tennis and cricket but not swimming

= tennis and cricket only + cricket only + tennis only

= 3 + 6 + 6

= 15

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The maximum value of f(4) will be 23.

What is Mean value theorem?

Mean value theorem states that if a function f is continuous on the closed interval [a ,b] and differentiable on the open interval (a ,b), then there exists a point c in the interval (a, b) such that f'(c) is equal to the function's average rate of change over [a, b].

That is;   [tex]f'(c) = \frac{f((b) - f(a)}{b - a}[/tex]

Given that;

⇒ f(0) = -1 and f′(x) ≤ 6 for all values of x.

Now, According to Mean value theorem;

[tex]f'(x) = \frac{f(4) - f(0)}{4 - 0}[/tex]

Since, f′(x) ≤ 6

Hence,

[tex]f'(x) \leq 6\\\\ \frac{f(4) - f(0)}{4 - 0}\leq 6\\\\ f(4) -(-1) \leq 24\\\\f(4) \leq 23[/tex]

So, The maximum value of f(4) will be 23.

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Based on the rate of the production of yeast packets by the two shifts of Fleischmann’s, the packets produced in each shift were:

Assuming that the number of yeast packets produced in the second shift is x, the number produced in the first shift would be:
= 1½ × x

= 1.5x

The number of yeast packets in the second shift is:

x + 1.5x = 5,600

2.5x = 5,600

x = 5,600 / 2.5

= 2,240 packets

The number of yeast packets in the first shift is:

= 2,240 x 1.5

= 3,360 packets

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Answer:

x = −10

Step-by-step explanation:

8x−2(x+1)=7x+8

Step 1: Simplify both sides of the equation.

8x−2(x+1)=7x+8

8x+(−2)(x)+(−2)(1)=7x+8(Distribute)

8x+−2x+−2=7x+8

(8x+−2x)+(−2)=7x+8(Combine Like Terms)

6x+−2=7x+8

6x−2=7x+8

Step 2: Subtract 7x from both sides.

6x−2−7x=7x+8−7x

−x−2=8

Step 3: Add 2 to both sides.

−x−2+2=8+2

−x=10

Step 4: Divide both sides by -1.

−x/−1 = 10/−1

x=−10

Part A: Yes, there is a correlation between the number of hours students spent studying and the score on the music test because  As we increase the hours of studying by 0.5 hours, then the music score increases by 2.

Part B: A function that best fits the data is; y = 60 + 4x

Part C: The slope and y-intercept of the plot indicates that Y is the score obtained in music test and number of hours spent on studying.

We have given the table below showing the data:

Number of hours spent studying (x) 0 0.5 1 1.5 2 2.5 3 3.5 4

Score on music test (y) 60 62 64 66 68 70 72 74 76

A) As we increase the hours of studying by 0.5 hours, then the music score increases by 2.

B) The function which best fits the data for the correlation from the above is; y = 60 + 4x

C) The slope and y-intercept of the plot indicates that Y is the score obtained in music test and number of hours spent on studying.

The slope of the above equation represents the rate of increase in music score with respect to an increase in the number of hours spent on studying.

The y-intercept gives the music score when the number of hours spent on studying is zero.

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Answer:

I got y= no solution

Step-by-step explanation:

Hope this helps and sorry if I'm wrong

The value of the mean is a 33.75 in the normal distribution.

According to the statement

We have to find that the students' favorite color was red.

So, For this purpose, we know that the

A mean is simply defined as the average of the given set of numbers.

From the given information:

On a test that has a normal distribution, a score of 45 falls two standard deviations above the mean, and a score of 30 falls three standard deviations below the mean.

Then

The interval for score = 45- 30= 15

If we divide it by the 4 standard deviations; the interval result into

= 15/4

= 3.75

Then, the standard deviation is 3.75, and

The mean = 30+ 3.75

The mean = 33.75

So, The value of the mean is a 33.75 in the normal distribution.

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Answer:

The bench costs $388.

Step-by-step explanation:

Let the cost of the bench be x

The cost of the garden table = x + 87

x + (x + 87) = 863

2x + 87 = 863

2x = 776

x = 388

The bench costs $388 and the garden table costs 388 + 87 = $475

475 + 388 = 863

Answer:

Step-by-step explanation:oooooooooooooooooooo

Answer:Move all terms not containing

x

to the right side of the inequality.

x

>

−

5

r

+

20

Step-by-step explanation:

Answer:

5/18

Step-by-step explanation:

1/2 × 9/9 = 9/18

2/9 × 2/2 = 4/18

This means we have 9/18 and 4/18 left in the circle. Because these fractions have a common denominator, we can now subtract them from the whole to find the shaded portion:

18/18 - 9/18 - 4/18 = 5/18

The shaded portion is 5/18, which is already in simplest form.

Answer:(x−3)2+ (y−5)2=5 8

Step-by-step explanation:

Answer:

11/10 and 3/4

Step-by-step explanation:

To find the better cost, you need to determine which options has a lower cost per bagel.

The volume of the glass jar is 87.96 cubic inch.

Volume is a unit used to express how much three-dimensional space is occupied. It is usually represented quantitatively in different imperial measures, such as the gallon, quart, and cubic inch, or in SI-derived units like the cubic meter and liter. The cubic concept of length and volume are connected.

Volume is a three-dimensional measurement that's used to gauge a solid shape's capacity. It implies that the volume of a closed form determines how much space it may occupy in three dimensions.

The capacity of the jar is calculated as

Volume of cylinder = [tex]\pi r^{2}h[/tex] = [tex]\pi (2^{2})7[/tex] = [tex]28\pi[/tex] = 87.96 cubic inch.

Hence the capacity of the glass jar is 87.96 cubic inches.

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Answer:

3/2

Step-by-step explanation:

29-8=21

9-(-5)=14

21/14 =3/2

The length of the first, second, third pieces of sidings are 8 ft, 24ft and 32 ft respectively.

The 64 ft piece of siding is cut into three pieces so that the second piece is  three times as long as the first piece and the third piece is four times as long as the first piece.

The length of the three pieces of siding can be found as follows:

x = length of the first piece

Therefore,

Second piece = 3x

Third piece = 4x

Hence,

x + 3x + 4x = 64

8x = 64

divide both sides by 8

x = 64 / 8

x = 8

Therefore, the length of all the pieces are as follows;

First piece = 8 ft

Second piece = 3(8) = 24 ft

Third piece = 4(8) = 32 ft

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Based on the fact that Sean made a dozen brownies with 3/4 cups of sugar, the amount of sugar in each brownie is 1 / 16 cups of sugar

A dozen brownies were made with 3/4 cups of sugar. This means that 12 brownies were made by using 3/4 cups of sugar.

To find the amount of sugar used per brownie, the formula is:
= Number of cups of sugar / Number of brownies made

Solving for the cups of sugar per brownie gives:
= 3/4 ÷ 12

= 0.75 / 12

= 0.0625

= 1 / 16 cups of sugar

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Type of rotation of Anticlockwise and clockwise .

A point in coordinate geometry can be rotated through 180 degrees around the origin by drawing an arc with a radius equal to the distance between the provided point's coordinates and the origin, and then extending an angle of 180 degrees at the origin.

The point must be rotated around the origin with regard to its location in the cartesian plane. It is nicely explained in the next part of the 180-degree rotation formula.

The formula for 180-degree rotation of a given value is as follows: if R(x, y) is a point that has to be rotated around the origin, then coordinates of R(x, y) .

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Answer:

3. 252

4. 3192

5. 12.80364072

Step-by-step explanation:

3. use PEMDAS so division first 63÷9=7

36*7=252

4. -3*-8=24

24*-7=-168

-168*-19=3192

5. Simply multiply and add decimal places

The required solution of the given expression is F(3)=16.

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given:

The given in the function

F(x)=x²+7

According to given question we have

The function

F(x)=x²+7

At x=3 we get

F(3)=3²+7

F(3)=9+7

F(3)=16

Therefore, the required solution of the given expression is F(3)=16.

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The equation of a line that passes through the given point (4, 3) and is perpendicular to y = 2x + 2 is given by: y = -x/2 + 5.

The slope of a line simply refers to the gradient of a line and it's typically used to describe both the ratio, direction and steepness of an equation of a straight line.

Mathematically, the standard form of the equation of a straight line is given by;

y = mx + c

Where:

y = mx + c ≡  y = 2x + 2

m₂ = 2

For perpendicularity, we have:

m₁ × m₂ = -1

m₁ × 2 = -1

m₁ = -1/2.

Next, we would use the point-slope form to write the equation of this line at point (4, 3):

y - y₁ = m(x - x₁)

y - 3 = -1/2(x - 4)

y - 3 = -x/2 + 2

y = -x/2 + 2 + 3

y = -x/2 + 5.

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Complete Question:

Write an equation for a line perpendicular to y = 2x + 2 and passing through the point (4, 3).

The probability that no one in a family of five will be hospitalized in a year 0.2373 .

Let P(E) denote the probability of being hospitalized during a year and P'(E) the probability of not being hospitalized during a year

Then , using equation (1) , we get

          [tex]0.25+P'(E)=1\\P'(E)=1-0.25\\P'(E)=0.75[/tex]

The probability that no one in a family of five will be hospitalized in a year is equal to [tex](P'(E))^n[/tex] where n is the number of member .

   [tex](P'(E))^n=(0.75)^5\\(P'(E))^n=0.2373[/tex]

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Answer:

628/1300

Step-by-step explanation:

Answer:

C: 88

Step-by-step explanation:

There is a triangle that contains y, 53°, and 39°. So by this, you know that y + 53 + 39 = 180 (sum of triangle angles).

y = 180 - 53 - 39

y = 88°

Hope this helps! :)

A number system is defined as the representation of numbers by using digits or other symbols in a consistent manner. The missing numbers in the given number sentence are 4000 and 20.

A number system is defined as the representation of numbers by using digits or other symbols in a consistent manner.

The given number is

24321

This we can express in standard form as,

20000+4000+300+20+1.

The given expression is 20 000 +x+300+y+1.

If we compare the above expression with standard form of 24321 we get the values of x and y. so x is 4000 and y is 20.

The missing numbers in number sentence are 4000 and 20.

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The final answer in scientific notation with the correct number of significant digits, and label with the correct units is 4.1 * 10^6 square ft

The dimensions of the field are given as

Length = 3.3 * 10^3

Width = 2.5 * 10^3

From the question, we have

Half of the field is used to grow crops

This means that the area of the portion of the field that has crops growing is

Area = 1/2 * Length * Width

So, we have

Area = 1/2 * 3.3 * 10^3 * 2.5 * 10^3

Evaluate the product

Area = 4.125 * 10^6

In (a), we have

Area = 4.125 * 10^6

The units are 2 significant digits

So, the result must also have 2 significant digits

This means that

Area = 4.1 * 10^6 square ft (when approximated)

The units are 2 significant digits

So, the result must also have 2 significant digits

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