What is the slope of the line that contains the points (-2, 5) and (6, -3)?

Answer:

D

Step-by-step explanation:

you can see can graph intersects the y axis at -3 and it goes upward forever.So minimum for y is

-3 so it is -3<y<infinity.

The original equation formed after factoring out \($-\frac{1}{2}$\) is \($$(x-0)^2 - 2x - 8 = 0$$\).

What is meant by factor?

In mathematics, a factor is a number or expression that divides another number or expression evenly without a remainder. Factoring is the process of finding the factors of a number or expression. In algebra, factoring is used to simplify expressions, solve equations, and find zeros of functions. By factoring, we can rewrite a complex expression or equation as a product of simpler expressions or factors.

To factor out \($-\frac{1}{2}$\) from the equation \($-\frac{1}{2}(x-0)^2+x+4=0$\), we can divide both sides of the equation by \(-\frac{1}{2}$:\)

\($-\frac{1}{2}(x-0)^2 \div -\frac{1}{2} + x \div -\frac{1}{2} + 4 \div -\frac{1}{2} = 0 \div -\frac{1}{2}$$\)

Simplifying each term, we get:

\($$(x-0)^2 - 2x - 8 = 0$$\)

This is the factored form of the original equation, after factoring out \(-\frac{1}{2}$.\)

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Answer:

ok well I usually just add 105, 5 times and I get the answer.

Step-by-step explanation:

105 + 105= 210

210 + 105= 315

315+ 105= 420

420 + 105 = 525

The answer is 525

There is another way to do it ok soo if we multiply 100 x 5 = 500

and 5 x 5 equals 25 and then we add them  together we get 525

Answer:

maybe 20

Step-by-step explanation:

or find it out yourself

Answer:

\(\angle 7=151\textdegree\)

Step-by-step explanation:

Note that ∠7 is the vertical angle to 151°.

Recall that vertical angles are congruent and thus have equivalent measures.

Hence, ∠7 is also 151°.

In conclusion, the measure of ∠7 is 151°.

Answer:

151°

Step-by-step explanation:

Angle 7 and the Angle that measures 151° are congruent and vertical angles.

This means they will be equal to the same angle measure.

Angle 7 = 151°

Best of Luck!

Answer:

To find the volume of a triangular pyramid, we use the formula:

Volume = (1/3) * Base Area * Height

In this case, we have a triangular pyramid with a base that is a triangle with sides of 3 m, 6.6 m, and 8 m. To find the area of this triangle, we can use Heron's formula:

s = (a + b + c) / 2

Area = sqrt(s(s-a)(s-b)(s-c))

where s is the semiperimeter of the triangle.

Using these formulas, we can calculate the volume as follows:

s = (3 + 6.6 + 8) / 2 = 8.8

Area = sqrt(8.8(8.8-3)(8.8-6.6)(8.8-8)) = 12.72 m^2

Height = 6.1 m

Volume = (1/3) * 12.72 * 6.1 = 25.96 cubic meters

Therefore, the volume of the triangular pyramid is approximately 25.96 cubic meters.

Answer:

twelve faces

Step-by-step explanation:

12 sides

The area of a triangle with side lengths 17, 18, and 19 in simplest radical form is 18√7770

The area of the triangle is calculated using the formula

Area of triangle = √[s(s – a)(s – b)(s – c)]

s = perimeter o the triangle

a, b and c are the lengths of the triangle

s = a + b + c = 17 + 18 + 19 = 54

Area of triangle = √[54 * (54 – 17)(54 – 18)(54 – 19)]

Area of triangle = √[2517480]

Area of triangle = 18√7770

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Number of countries would west Virginia be expected to have is  18 countries

The number of campgrounds that North Dakota has = 465 campgrounds

The number of countries = 12 countries

The number of campgrounds that West Virginia has = 711 campgrounds

Given that the North Dakota was proportional to West Virginia in the number of campgrounds to counties.

The proportion will be

465 / 12 = 711 / x

Divide the terms

38.75 = 711 / x

x = 711 / 38.75

Divide the terms

x = 18.4

x ≈ 18 countries

Hence, number of countries would west Virginia be expected to have is  18 countries

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Using the z-score, mean and sample mean, the standard deviation of the sample is 7.57

A z-score describes the position of a raw score in terms of its distance from the mean when measured in standard deviation units. The z-score is positive if the value lies above the mean and negative if it lies below the mean.

The formula is given as;

z = x - μ / σ

Substituting the values into the formula;

-2.13 = 19.3 - 29 / σ

Cross multiply both sides;

-2.13σ = 19.3 - 29

-2.13σ = -9.7

Divide both sides by the coefficient;

-2.13σ / -2.13 = -9.7 / -2.13

σ = 7.57

The standard deviation is 7.57

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Answer:

Kindly check explanation

Step-by-step explanation:

Given the data below:

Time, t (hours)__1.0__1.5__2.0__2.5__3.0

C(t) (mg/mL)__0.35_0.26_0.20_0.14_0.09

Average change of C with respect to t over the interval :

(i) [1.0, 2.0] (ii) [1.5, 2.0] (iii) [2.0, 2.5] (iv) [2.0, 3.0]

Average change = ( change in C / change in t) = C2 - C1 / t2 - t1

1) [1.0, 2.0]

C at t = 1 = 0.35 ; C at t = 2 = 0.20

(0.20 - 0.35) / (2 - 1) = - 0.15 / 1 = - 0.15 mg/mL hr

11) [1.5, 2.0]

(0.20 - 0.26) / (2.0 - 1.5) = - 0.06 / 0.5 = - 0.12 mg/mL hr

111) [2.0, 2.5]

(0.14 - 0.20) / (2.5 - 2.0) = - 0.06 / 0.5 = - 0.12mg/mL hr

iv) [2.0, 3.0]

(0.09 - 0.20) / (3.0 - 2.0) = - 0.11 / 1.0 = - 0.11 mg/mL hr

The required expression is (x / 5) + 9

Given that we have to build an equation for the statement "9 more than the quotient of x and 5,

So,

This expression represents the quotient of x divided by 5, and then adding 9 to the result.

Therefore,

"9 more than the quotient of x and 5" can be written mathematically as:

(x / 5) + 9

Hence the required expression is (x / 5) + 9

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The class width used for the frequency distribution is 6.

The class midpoint for the class 23-29 is 26.

The class midpoint for the class 30-36 is 33.

The class midpoint for the class 37-43 is 40.

To find the class width of the frequency distribution, we need to determine the range of each age class. The range is the difference between the upper and lower boundaries of each class. Looking at the table, we can see that the class boundaries are as follows:

23-29

30-36

37-43

For the class 23-29, the lower boundary is 23 and the upper boundary is 29. To find the class width, we subtract the lower boundary from the upper boundary:

Class width = 29 - 23 = 6

So, the class width for the frequency distribution is 6.

To find the class midpoint for each class, we take the average of the lower and upper boundaries of each class.

For the class 23-29:

Class midpoint = (23 + 29) / 2 = 52 / 2 = 26

For the class 30-36:

Class midpoint = (30 + 36) / 2 = 66 / 2 = 33

For the class 37-43:

Class midpoint = (37 + 43) / 2 = 80 / 2 = 40

So, the class midpoint for the class 23-29 is 26, for the class 30-36 is 33, and for the class 37-43 is 40.

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Answer: 3.46

Step-by-step explanation: Number form of it.

Answer:

3.46

three and forty-six hundreths

Step-by-step explanation:

your answer good luck!

Answer:

w<13

Step-by-step explanation:

Works identically to a normal single-variable equation.
Subtract 7 on both sides in order to isolate w--->w+7-7<20-7
The answer (which cannot be simplified any further) is w<13.

Answer:

w < 1`3

Step-by-step explanation:

Isolate the variable w on one side of the inequality sign.

w+7<20

w<20 - 7

w<13.

Answer:

A)15+12

hope it helps...

Answer:

X=-3

Step-by-step explanation:

2x+15=-3x

15=-5x

x=15/-5

x=-3

Answer:

x = -3

Step-by-step explanation:

2x + 15 = -3x

15 = -5x

x = -3

Answer:

Should be (C). Can't verify.

545

ED2021

Answer:

-6y^4 - 7y^2

Explanation:

Distribute y2 with -4y2 and 7

-4y4 - 7y2 - 2y4

Combine the like terms, -4y4 and 2y4

-6y4 - 7y2

Answer:

x

=

3

2

−

y

2

Step-by-step explanation: just write them in order sorry for how i rote it

Answer:

For 30. the answer is D. For 31 the answer is B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The descriptions of this function that are true include the following:

B. The slope of the function is -3/4 and the y-intercept is 7.

G. The function is linear and continuous.

H. y = -3/4(x) represents this function.

I. The function is decreasing (-infinity, +infinity).

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is represented by this mathematical expression;

y = mx + c

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (4 - 7)/(4 - 0)

Slope (m) = -3/4

At data point (0, 7), a linear equation in slope-intercept form for this line can be calculated as follows:

y = mx + c

y = -3/4(x) + 7

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Answer:

1672.50 = 37.75x + 1068.50

x = 16

There were 16 players brought to the tournament.

Step-by-step explanation:

y = mx + b

y= the total cost

m = cost of each meal

x = the number of players

b = cost of the bus

Plug in what you know and solve for x

1672.50 =  37.75x + 1068.50  Subtract 1068.50 from both sides.

604 = 37.75x  Divide both sides by 37.75

16 = x

Equation: 1068.50 + 37.75x =1,672.50

Answer: X= 16

If 1,672.50 is our total it will go behind the equal sign. 37.75x and 1068.50 must be added together to help us receive our total.

Our written equation should look like this

1068.50 + 37.75x =1,672.50

X is the number of players on the team.To find out we must first subtract the amount of money spent on the bus, from the total amount spent.

1,672.50-1068.50 is 604. This means our equation now looks like this

37.75x=604. The next and final step is to divide 37.75 into 604.

604/ 37.75 is 16. Which means that there are 16 players on the team.

I hope this helps & Good luck.

Answer:

25 milliliters of 25% solution and 75 milliliters of 5% solution should be used.

Step-by-step explanation:

Since the druggist has to prepare 100 ml of a 10% solution, but has only 5% and 25% solutions, to determine the proportion of each solution that he must use to prepare the solution with the desired percentage, it is necessary to perform the following calculation:

25 x 1 + 5 x 0 = 25

25 x 0.9 + 5 x 0.1 = 23

25 x 0.8 + 5 x 0.2 = 21

25 x 0.7 + 5 x 0.3 = 19

25 x 0.6 + 5 x 0.4 = 17

25 x 0.5 + 5 x 0.5 = 15

25 x 0.4 + 5 x 0.6 = 13

25 x 0.3 + 5 x 0.7 = 11

25 x 0.2 + 5 x 0.8 = 9

Therefore, the percentage that the druggist must use will be between 20% and 30% of the 25% solution, and between 70% and 80% of the 5% solution, that is:

25 x 0.25 + 5 x 0.75 = 10

Therefore, the druggist should use a 25% solution at 25%, and a 75% solution at 5%: Thus, since 100 x 0.25 is equal to 25, 25 milliliters of 25% solution and 75 milliliters of 5% solution should be used.

Answer:

48.68% probability that managment is unhappy with the number of complaints in the next eight hours.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\(\mu\) is the mean in the given time interval.

A service center receives an average of 0.6 customer complaints per hour.

This means that \(\mu = 0.6n\), in which n is the number of hours.

Eight hours:

This means that \(n = 8, \mu = 0.6*8 = 4.8\)

Determine the probability that managment is unhappy with the number of complaints in the next eight hours.

They will be unhappy if they receive five or more complaints.

Either they receive less than five complaints, or they receive at least five. The sum of the probabilities of these events is 1. So

\(P(X < 5) + P(X \geq 5) = 1\)

We want \(P(X \geq 5)\).

Then

\(P(X \geq 1) = 1 - P(X < 5)\)

In which

\(P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)\)

So

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

\(P(X = 0) = \frac{e^{-4.6}*4.6^{0}}{(0)!} = 0.0101\)

\(P(X = 1) = \frac{e^{-4.6}*4.6^{1}}{(1)!} = 0.0462\)

\(P(X = 2) = \frac{e^{-4.6}*4.6^{2}}{(2)!} = 0.1063\)

\(P(X = 3) = \frac{e^{-4.6}*4.6^{3}}{(3)!} = 0.1631\)

\(P(X = 4) = \frac{e^{-4.6}*4.6^{4}}{(4)!} = 0.1875\)

\(P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0101 + 0.0462 + 0.1063 + 0.1631 + 0.1875 = 0.5132\)

Finally

\(P(X \geq 1) = 1 - P(X < 5) = 1 - 0.5132 = 0.4868\)

48.68% probability that managment is unhappy with the number of complaints in the next eight hours.

Answer:

b

Step-by-step explanation:

each always has a x

Answer:

20

Step-by-step explanation:

E:S

4:3

4u+3u=140

7u=140

u=20

The different 2-member groups that are possible is 28

From the question, we have

Total number of members, n = 8

Numbers to selection, r = 2

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 8 and r = 2

Substitute the known values in the above equation

Total = ⁸C₂

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 8!/(6! * 2!)

Evaluate

Total = 28

Hence, the number of ways is 28

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