Paula is working as a sales executive in a store. Her total earnings per month are modeled by the expression 5 x + 350 , where x represents the number of items she sells within that month. If she wants to earn at least $950 this month, which inequality represents the number of items she must sell?

Answer:

The numbers are --> x = -4 + √21 i and  x = -4 — √21 i

See the attachment for my step-by-step explanation

(solution is in red box)

The number that would have to be added in the given quadratic equation to complete the square is '-21' and this can be determined by using the factorization method.

Given :

Quadratic equation  --  \(x^2+8x+37 = 0\)

The following steps can be used in order to determine the number that would have to be added to complete the square:

Step 1 - The factorization method can be used in order to determine the number that would have to be added to complete the square.

Step 2 - Write the given quadratic equation.

\(x^2+8x+37 = 0\)

Step 3 - Now, if '-21' is added in the above quadratic equation then the above equation becomes the complete square.

\(x^2+8x+37+(-21) = 0\)

\(x^2+8x+16 = 0\)

\((x+4)^2 = 0\)

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Answer:

x=3

y=1

Step-by-step explanation:

We know that y is basically two less than x, so we can plug that into the second equation:

x+ (x-2) = 4

We can now simplify:

2x-2=4

2x=6

x=3

After finding x we can now find y with any equation (both work):

y= 3-2

y=1

Hope this helped!

Answer:

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(  3 , 1 )

The difference between a type II error and a type I error is that a type I error rejects the null hypothesis when it is true (i.e., a false positive). The probability of committing a type I error is equal to the level of significance that was set for the hypothesis test.

The null hypothesis in inferential statistics is that two possibilities are equal. The underlying assumption is that the observed difference is just the result of chance. It is feasible to determine the probability that the null hypothesis is correct using statistical testing.

A statistical hypothesis known as a null hypothesis asserts that no statistical significance can be found in a collection of provided observations. Using sample data, hypothesis testing is performed to judge a theory' veracity. It is sometimes referred to as just "the null," and its symbol is H0.

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Answer:

23.9

Step-by-step explanation:

it just is so right

Answer:

The answer is No, they aren't proportionate

Step-by-step explanation:

Answer:

They are not.

Step-by-step explanation:

Answer:

Since in this option the minute is paid at $0.40, the best option is 10 minutes for $ 4.

Step-by-step explanation:

Since four friends, Abe, Bob, Carl, and Darrel, are going to a fun park, and they want to ride go-karts, and the price to ride the go-karts is $ 2.15 for 5 minutes, $ 4.00 for 10 minutes, or $ 6.75 for 15 minutes, to determine which price is the best deal, the following calculations must be performed:

2.15 / 5 = 0.43

4/10 = 0.40

6.75 / 15 = 0.45

Therefore, since in this option the minute is paid at $ 0.40, the best option is 10 minutes for $ 4.

Answer:

x=$3

Step-by-step explanation:

2x+5=3x+2

-2 from both sides

2x+3=3x

-2x from both sides

3=x

The appropriate z-value to use in the situation given in the question is 1.28.

Given,Total number of adults in the sample = 2092

Number of adults using the internet = 1318

Number of internet users who expect businesses to have websites that give product information = 1041

Probability of internet users who expect businesses to have websites that give product information as per the teacher's statement = 80% = 0.8

To find the appropriate z-value to use in this situation, we need to calculate the standard error of proportion, which is given by:

SEp = √[p(1-p)/n]

where p is the proportion of internet users who expect businesses to have websites that give product information and n is the sample size.

Substituting the given values in the formula,

SEp = √[(1041/1318)(1-1041/1318)/1318]SEp = 0.019

z-value is given by:

z = (p - P)/SEp

where P is the proportion of internet users who expect businesses to have websites that give product information as per the teacher's statement.

Substituting the given values in the formula,

z = (0.8 - 1041/1318)/0.019

z = - 1.28

The appropriate z-value to use in this situation is -1.28.

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In order to apply the chain rule, we need a composite function that involves multiple variables and their relationship.

The chain rule allows us to calculate the derivative of a composite function by multiplying the derivative of the outer function with the derivative of the inner function.

However, without an explicit function or equation involving the variables (,,), (=), (=), and (=), it is not possible to determine their partial derivatives using the chain rule.

Additional information or a specific equation relating these variables is required for further analysis.

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Answer:

a. x > -1

b. x >= -2

c. x <= 3

d. x <= 0

Step-by-step explanation:

The membership of a group of a North American sports team includes 4 American nationals, 9 Canadian nationals, and 8 Mexican nationals. The probability that a randomly selected member of the team is Canadian can be calculated by dividing the number of Canadian nationals by the total number of team members.

Therefore,Probability = Number of Canadian Nationals / Total Number of Team MembersLet's solve this problem below:Total number of team members = 4 (American Nationals) + 9 (Canadian Nationals) + 8 (Mexican Nationals) = 21Probability of a randomly selected member of the team is Canadian = Number of Canadian Nationals / Total Number of Team Members = 9 / 21 ≈ 0.429 (rounded to three decimal places)Therefore, the probability that a randomly selected member of the team is Canadian is approximately 0.429 or 42.9%. This means that there is a 42.9% chance that if a person is selected at random from the team, they will be Canadian.

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The standard form of the line that contains a slope of -3/2 and y-intercept of 6 is y = (-3/2)x + 6.

The slope intercept form of a line is:-

y = mx + c

Where,

m represents the slope of the line,

(x,y) represents the ordered pair of coordinates of each point on the line, and

c is the y-intercept

The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis).

Hence, we have,

m = -3/2

c = 6

Hence, the standard form of the line that contains a slope of -3/2 and y-intercept of 6 is given by:-

y = (-3/2)x + 6

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The interger is closest to 20 is 19 or 21

The width of the waiting area is 95 feet if the length of the area is 120 feet. Thus, option A is correct.

The area of the roller-coaster = 11,400 square feet

Length of area = 120 feet

The shape of Smiler roller coaster is rectangular-shaped. The area of the roller coaster can be calculated by using the product of length and width. The width of the roller coaster is calculated by dividing the total area by length.

Mathematically, the formula is:

width = area/length

width = 11,400 / 120

width = 95 feets

Therefore, we can conclude that the width of the waiting area is 95 feet.

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Answer:

125 questions

Answer:

125 questions

Step-by-step explanation:

Answer: The answer is 6 cm :)

Step-by-step explanation:

120 1/1 (5x4)

=120 1/1 20

=12 1/1 2

=6cm

So the depth of the water is 6 cm

The triangle congruency postulates for the given triangles are;

24) SAS Congruency Postulate

25) None

26) SSS Congruency Postulate

The main triangle congruency postulates are;

24) We can see that this fits the SAS Congruency postulate as we are given two congruent sides and the included angle.

25) We can see that this does not fit any of the congruency postulates as we are only given two sides congruent without any mention of any congruent angles.

26) We can see that this fits the SSS Congruency postulate as we are given three congruent sides.

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The function is increasing on the interval(s): (-∞, 1) and (2, ∞).The function is decreasing on the interval(s): (1, 2).

Given a graphed function to consider, here are the answers to the questions:The domain of the function is: All real numbers except 2, because there is a hole in the graph at x = 2.

The range of the function is: All real numbers except 1, because there is a horizontal asymptote at y = 1.The function has a vertical asymptote of x = 1 at x = 1.

The function is increasing on the interval(s): (-∞, 1) and (2, ∞).

The function is decreasing on the interval(s): (1, 2).

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Answer:

2, 400

Step-by-step explanation:

1) 25 times 40 for how many miles the shark has done, which is 1,000

2) Do 1000 divided by 25, which is 40, so 40 hours.

3) Do 40 times 60 for how many minutes the shark has swam, which is 2, 400.

Answer:

2,400

Step-by-step explanation:

1) 25 times 40 for how many miles the shark has done, which is 1,000

2) Do 1000 divided by 25, which is 40, so 40 hours.

3) Do 40 times 60 for how many minutes the shark has swam, which is 2, 400.

Answer: A, D and F

Step-by-step explanation:

Answer:

a,d,f

Step-by-step explanation:

Answer:

0.20833333333 or 5/24

Step-by-step explanation:

Hope this helps UwU <33

Answer:

-5/24

Step-by-step explanation:

-5/3×(-1/8)

= -5/24

Answer:

40.35

Step-by-step explanation:

to find the amount without tax:

97 x .6 (60%) = 58.2 (the amount that will be taken off)

so 97 - 58.2 = 38.8 (the amount the pole will be WITHOUT tax)

to find the tax:

38.8 (sale price) x .04 (4 percent) = 1.552, rounded 1.55

to find full price:

38.8 (sale price) + 1.552 or 1.55 (tax) = 45.352 or 40.35

2/3 = 0.667 which is less than 1.

part a answer: a. Less than

part b: when a number is multiplied by a number less than one the product would be less than the original number.

answer part b: c. Less than

6(-3x+8)=-3(5x +4)

Distributive property:

-18x + 48 =  -15x -12

Add 15x to both sides:

-3x + 48 = -12

Subtract 48 from both sides:

-3x = -60

Divide both sides by -3:

x = -60 / -3

x = 20

Answer:

first

|a+3|/2=1

|a+3|=1*2

|a+3|=2

a=2-3

so,a=-1

second

2|b+1|=6

|b+1|=6/2

|b+1|=3

b=3-1

so,b=2

now,|a+b|

= -1+2

= 1

therefore,|a+b|= 1

Mr. Red's speed was 10 yards per second when he ran from the 0 line to the finish line, which was a distance of 40 yards.

To find Mr. Red's speed, we need to use the formula

speed = distance ÷ time

We know that Mr. Red ran from the 0 line to the finish line, which is a distance of 40 yards. We also know that he did this in 4 seconds. So, we can plug these values into the formula

speed = 40 yards ÷ 4 seconds

Simplifying, we get

speed = 10 yards per second

Therefore, Mr. Red's speed is 10 yards per second. It's important to note that this is his average speed over the entire 4-second interval.

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