A line contains the two points plotted in the coordinate plane below.
What is the slope of the line?

Answer:

8

Step-by-step explanation:

To calculate the greatest common factor of 24 and 32, we need to factor each number (factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24; factors of 32 = 1, 2, 4, 8, 16, 32) and choose the greatest factor that exactly divides both 24 and 32, i.e., 8.

Answer:

8

(factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24; factors of 32 = 1, 2, 4, 8, 16, 32)

https://www.flocabulary.com/unit/gcf-lcm/

Answer:

Step-by-step explanation:

[tex]\mathrm{Critical\:Points\:of}\:45\frac{x^4}{5}+\frac{x^9}{5}:[/tex] [tex]x=-\sqrt[5]{20},\:x=0[/tex]

Critical Point Definition:

Find where [tex]f'(x)[/tex] is equal to zero or undefined

[tex]x=-\sqrt[5]{20},\:x=0[/tex]

Identify critical points not in [tex]f(x)[/tex] domain

Domain of [tex]45\frac{x^4}{5}+ \frac{x^9}{5}: -{ \infty} < x < { \infty}[/tex]

All critical points are in domain

[tex]x=-\sqrt[5]{20},\:x=0[/tex]

Answer:

He bought 32 sketchbooks

Step-by-step explanation:

E equals 32

Answer:

17

Step-by-step explanation:

We know:

The total bill was $241

The paint sets cost $105

Each sketchbook is $8

First, subtract the cost of the paint sets from the total bill. That leaves the entire cost of all of the sketch books.

241-105=136

Next, divide the cost of the sketch books by 8 to find the cost of one sketchbook.

136/8=17

Therefore, Mr. Benito bought 17 sketchbooks.

Answer:

rounded = 170 in^3 and 2nd question =2.772 in^3

Step-by-step explanation:

h: 12 1/8 = 12.125

w: 1 3/4 = 1.75

l: 8

----------------------------------

h*w*l = 169.75 in^3

rounded = 170 in^3

oh there's another.. wait

same with this question

.----------------------------------

h*w*l

10.5 * 12 * 22 = 2.772 in^3

Answer:

24.49 units

Step-by-step explanation:

It si NOT a right triangle, so you'll have to use law of sines

angle C = 180 - 45-75 = 60 degrees

30 / sin60 =  AC / sin 45

AC = 30 * sin 45 / sin 60 = 24.49 units

Answer:

  x = 3°

Step-by-step explanation:

The external angle where secants/tangents meet is half the difference of the intercepted arcs.

__

Here, that means ...

  18x = (1/2)(194° -86°)

  18x = 1/2(108°) = 54° . . . . . simplify

  x = 3° . . . . . . divide by 18

Answer:

A minimum of 21250 packets per day.

Step-by-step explanation:

If Monday produced 15,000 packets, and Tuesday was closed they produced 15,000 packets in 2 days.

The factory is open 6 days a week.

They need 100,000 packets.

They have 15,000 packets.

6 subtract 2 is 4.

100,000 subtract 15,000 is 85,000.

They need 85,000 packets in 4 days.

That is a minimum of 21250 packets per day.

21250 is minimum equal number of packets that must be packed per day for the remaining days

Two or more expressions with an Equal sign is called as Equation.

Given that packaging factory is open from Monday to Saturday.

On monday 15,000 packets were packed.

On tuesday the factory is closed.

The factory has to pack in that week of 100000 packets.

As already 2 days completed by packing 15000

The remaining packets should be packed within 4 days.

The remaining packets are 100000-15000

85000

This should be done with in four days of time.

We need to find the minimum equal number of packets that must be packed per day for the remaining days.

Divide 85000 by 4

85000/4

21250

Hence, 21250 is minimum equal number of packets that must be packed per day for the remaining days

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Answer:

QR = 5.9

Step-by-step explanation:

QR = √(RP^2 - QP^2)

QR = √((7.6)^2 - (4.8)^2) = √(57.76 - 23.04) = √34.72 ≈ 5.9

Answer:

Question 3: [tex]b \geq 2[/tex]

Question 4: [tex]r < -5[/tex]

Question 5: [tex]y \leq -6[/tex]

Step-by-step explanation:

Question 3:

[tex]b + 2 \geq 4\\b + 2 -2 \geq 4 - 2\\b \geq 2\\[/tex]

Question 4:

[tex]13 > 18 + r\\13 - 18 > 18 -18 + r\\\\-5 > r\\ r < -5[/tex]sign flips when r switches sides

Question 5:

[tex]3y \leq 2y - 6\\3y - 2y \leq 2y - 2y - 6\\\\y \leq - 6\\[/tex]

Answer:

y = -4

Step-by-step explanation:

8 = 3y - 12 - 8y

Combine like terms

8 = -5y -12

Add 12 to each side

8+12 - 5y-12+12

20 = -5y

Divide each side by -5

20/-5 = -5y/-5

-4 =y

Using the t-distribution, it is found that the desired measures are given as follows:

At the null hypothesis, it is tested if the mean GPA of the students is of 3.3, that is:

[tex]H_0: \mu = 3.3[/tex]

At the alternative hypothesis, it is tested if the mean GPA is different than 3.3, hence:

[tex]H_1: \mu \neq 3.3[/tex].

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

The values of the parameters are given as follows:

[tex]\overline{x} = 3.33, \mu = 3.3, s = 0.08, n = 55[/tex]

Hence, the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{3.33 - 3.3}{\frac{0.08}{\sqrt{55}}}[/tex]

t = 2.78.

We are testing if the mean is different of a value, hence we have a two-tailed test. Using a t-distribution calculator, with 55 - 1 = 54 df and t = 2.78, the p-value is of 0.01.

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Answer:

7.85

Step-by-step explanation:

Arc Length Formula

[tex]\text{arc length} = 2 \pi r (\frac{\text{angle in degrees}}{360^\circ})[/tex],
where r is radius.

Given information:

m<JKL = 30°

JK = r = 15 units

Substitute in equation and solve.

[tex]\text{arc length} = 2 \pi r (\frac{\text{angle in degrees}}{360^\circ})\\\text{arc length} = 2 \pi (15) (\frac{30^\circ}{360^\circ})\\\text{arc length} = \frac{5}{2} \pi \approx 7.85398\\\text{arc length} = 7.85 \text{ units}[/tex]

Answer:

t (based on the information you have given)

Step-by-step explanation:

d is dependent on the equation and 43 will probably change

Answer:

43

Step-by-step explanation:

In the expression d = 43t, two variables are visible. One represents constants and the other represents the dependent variable. X is often used to represent the independent variable which is the one that is always manipulated ( I CHANGE ). The 43 represents the variable that is always changing and being manipulated. 43 represents X as it is the representing the manipulated variable.

Answer:

x = 5

Step-by-step explanation:

Volume of Rectangular Prism: Volume = Length*Width*Height

300 = x * x * 12

300 = x^2 * 12

25 = x^2

x = 5

Answer:

For this case we have the following polynomial.

We note that the polynomial graph cuts only the vertical axis at one point.

The graph has no other cut points on the x axis

Therefore, the polynomial has:

6 complex solutions

0 real solution

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

The population P will increase by a factor of 1.32 each year.

The function is

P = 415(1.32)^t  where t is the time in years.

After 5 years:

P = 415(1.32)^5  = 1663.

Answer:

The distance between the points (2, 7) and (2, 15) is 8.

Step-by-step explanation:

What is the Distance between Two Points?

For any two points there is exactly one line segment connecting them. The distance between two points is the length of the line segment connecting them. Note that the distance between two points is always positive. Segments that have equal length are called congruent segments.

How to Solve:

Putting Values:

[tex]=\sqrt{(2-2)^2+(15-7)^2}[/tex]

[tex]=\sqrt{(0)^2+(8)^2}[/tex]

[tex]=\sqrt{0+64}[/tex]

[tex]=\sqrt{64}[/tex]

[tex]=8[/tex]

Answer:

x = 9

Angle B = 40°

Step-by-step explanation:

Angle A = Angle B

[tex]5x-5=3x+13[/tex]

[tex]5x-3x=13+5[/tex]

[tex]2x=18[/tex]

[tex]x=18/2=9[/tex]

Angle B = 3x + 13 = 3(9) + 13 = 27 +13 = 40°

Hope this helps

Answer:

true

Step-by-step explanation:

2log2 6- log2 9+ 1/3log2 27 =

= log2 6² - log2 9 + log2 27^(1/3)

= log2 36 - log2 9 + log2 3

= log2 [(36 × 3)/9]

= log2 12

The statement is true.

Answer:

from what i got it is 65% have terriers

Step-by-step explanation:

13 / 20 = 0.65 meaning there is 65%

Hope This Helped

Answer:

[tex]38.47 {m}^{2} [/tex]

Step-by-step explanation:

The formula to find the area of a circle is

[tex] a= \pi {r}^{2} [/tex]

We know that

[tex]\pi = 3.14 \: \: \: \: \: \: r = 3.5[/tex]

Therefore the area is

[tex] a= \pi {r}^{2} \\ \\ a = (3.14) {(3.5)}^{2} \\ \\ a = 3.14 \times 12.25 \\ \\ a = 38.47 {m}^{2}[/tex]

[tex] \Large{\boxed{\sf x = 14}} [/tex]

[tex] \\ [/tex]

Given equation:

[tex] \sf x + 14 = 28 [/tex]

[tex] \\ [/tex]

Subtract 14 from both sides :

[tex] \sf x + 14 - 14 = 28 - 14 \\ \\ \\ \boxed{\boxed{\sf x = 14}} [/tex]

[tex] \\ \\ [/tex]

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the solution to a system of equation is the point where they intersect. This occurs at (0, -2) and (2, 0).

Step-by-step explanation:

x=36/12

x=2

12x = 36

x = 36÷12

x = 3

Hope it helps......

Answer:

wait who you again have we met before wait what

Step-by-step explanation:

I dont know you I dont help strangers oh yea can i get the 4 for 4 from wendys

The statement regarding the expansion of (x + y)" that is correct is D. The coefficients of yn - 1 and yn – 1 both equal 1.

It should be noted that for any positive integer, n, the expression of (x + y)^n will be C(n,0)x^n + C+n, 1)x^n-1 .... C(n, n)y^n.

Here, the statement regarding the expansion of (x + y)" that is correct is that the coefficients of yn - 1 and yn – 1 is both equal to 1.

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Based on the fact that the distance of the fishing line is the sample space being classified, we can say that it is Infinite and Continuous.

Distance is said to be a continuous variable because it can be described as an unlimited value between the objects being measured.

As a result, the distance of the fishing line in this case must be continuous which means that it is infinite by nature.

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Answer:

20 New professors

Step-by-step explanation:The current ratio is 1200%2F80 = 15.

The new ratio/proportion should be %281500%29%2Fx = 15.

From here, find x = 1500%2F15 = 100 professors.

They must hire 100-80 = 20 new professors.

Answer: N=40

r=4

Step-by-step explanation:

We use the notation

�

P

�

nPrn, start text, P, end text, r to describe permutations. This notation represents the number of unique arrangements that exist when we select

�

rr objects without replacement from a set of

�

nn distinct objects.

In this scenario, how many students are we selecting to fill positions? How many students are we selecting from?

Hint #22 / 3

The student government is electing

4

44 of its

40

4040 members to fill the positions of president, vice president, secretary, and treasurer. So

�

nn should be

40

4040 and

�

rr should be

4

44.

Hint #33 / 3

These are the appropriate values of

�

nn and

�

rr:

�

=

40

�

=

4

n

r

​

=40

=4

​

Answer:

1 day = 1440min

so 36min of a day = 36/1440 = 1/40