find the constant of variation k for the direct variation x -1 0 2 5 f(x) 2 0 -4 -10

Answer:

this is the correct answer 100% correct dont forget to friend request me bye

Step-by-step explanation:

Answer:

Graphic attached

Step-by-step explanation:

The oblique asymptote of the function has the shape of a line of the form

[tex]y = mx + b[/tex]

We need to find the slope m and the intercept b.

The oblique asymptote is found by these two limits:

[tex]m = \lim_{x \to \infty}\frac{f(x)}{x}\\\\b = \lim_{x \to \infty}[f(x) - mx][/tex]

If [tex]f(x) = \frac{(2x+3)(x-6)}{(x+2)(x-1)}[/tex] then:

[tex]m = \lim_{x \to \infty} \frac{\frac{(2x+3)(x-6)}{(x+2)(x-1)}}{x}\\\\m = \lim_{x \to \infty} \frac{2x^2-9x-18}{x^3 +x^2 -2x}\\\\m = 0[/tex]

The slope is 0. Therefore the function has no oblique asymptote.

Horizontal asymptote:

[tex]y = 2[/tex]

Vertical asymptote

[tex]x = -2\\x = 1[/tex]

Answer:

A) 300 cm2

Step-by-step explanation:

First you have to find height

use Pythagorean theorem: a2 + b2 = c2

[tex]h^{2}+ 8^{2} = 17^{2}[/tex]

h2 + 64 =289

h2 = 289-64

h2 = 225

h= 15

now the area

A = a * h

A = 20 * 15

A = 300 cm2

Answer:

[tex]\large\boxed{A=300\ cm^2}[/tex]

Step-by-step explanation:

The formula of an area of a parallelogram:

[tex]A=bh[/tex]

b - base

h - height

Use the Pythagorean theorem to calculate a height h:

[tex]h^2+8^2=17^2[/tex]

[tex]h^2+64=289[/tex]            subtract 64 from both sides

[tex]h^2=225\to h=\sqrt{225}\\\\h=15\ cm[/tex]

Calculate the area:

[tex]A=(20)(15)=300[/tex]

Answer:

x= 22/15

Step-by-step explanation:

20x-11=5x+11

20x-5x=11+11

15x=22

Answer:

[tex]1\frac{1}{4}\ hours[/tex]

Step-by-step explanation:

we know that

using proportion

[tex]\frac{(1/4)}{(1/5)}\frac{hour}{paper}=\frac{x}{1}\frac{hour}{paper} \\ \\x=5/4\ hours[/tex]

covert to mixed number

[tex]5/4\ hours=1\frac{1}{4}\ hours[/tex]

Answer: Ben could ask his peers or a trusted adult for help, or Ben could use reliable sources to help him with any questions he might have. Ben could also try his best, if he doesn't get a good grade at least he doesn't have a missing assignment.

Step-by-step explanation:

Answer:

3100ft

Step-by-step explanation:

There are 2 sides to the prism that have an area of 50ft * 10ft or 500ft. The total of those will be 500ft * 2 or 1000ft. There are 2 more sides to the prism that have an area of 30ft * 10ft or 300ft. The total would be 300ft * 2 or 600ft. Then the last two sides to the prism have an area of 50ft * 30ft or 1500ft. Since we're imagining this prism to be a house, you can't paint the floor (well, I guess you could but I think they want us to leave that part out because you can't pick the house up to paint the bottom that would be ridiculous). So the surface area is each area added, or 1000ft + 600ft + 1500ft = 3100ft.

Answer:

3,100 ft^2

Step-by-step explanation:

Answer:

a: z = -1.936

b: 0.0265

d: z < -1.645

Reject H0 if z < -1.645

Step-by-step explanation:

We are given:

H0:  µ = 20

HA:  µ < 20

n = 60, sample mean: 19.6, σ = 1.6

Since the alternate hypothesis has a < sign in it, it is a left tailed test.  The < or > sign in the alternate hypothesis points towards the rejection region.

For a:  We need to calculate the test statistic for our situation.  This is done with a z-score formula for samples.  

For b:  we need to use the z-score table to look up the p-value for the score we calculate in part a.  The p-value is 0.0265.  This means that there is only about a 2.65% chance that the sample values were a result of random chance.

For d:  Since the significance level is 0.05, and this is a one tailed test, we have a critical value of z < - 1.645.  This means that if the z-score we calculate in part a is less than -1.645, we will reject the null hypothesis

See attached photo for all the calculations!

The test statistic is approximately -4.84 with a p-value close to 0. The critical value is approximately -1.645. The rejection rule is to reject H0 if z < -1.645.

a. To compute the test statistic, we can use the formula: z = (x - μ) / (σ / √n), where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

Given x = 19.6, μ = 20, σ = 1.6, and n = 60, we can calculate the test statistic as follows:

z = (19.6 - 20) / (1.6 / √60) = -1 / 0.2062 ≈ -4.84

b. The p-value can be determined by looking up the test statistic in the standard normal distribution table. However, in this case, the test statistic is already given as -4.84. The p-value associated with this test statistic is extremely small (close to 0), indicating strong evidence against the null hypothesis.

d. For a significance level α = 0.05, the critical value can be obtained by finding the z-score that corresponds to a cumulative probability of 1 - α = 0.95. Looking up this value in the standard normal distribution table, we find that the critical value is approximately -1.645.

The rejection rule using the critical value is: Reject H0 if z < -1.645.

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➷ 4 : 3

? : 3 : 2

The overall ratio is:

4 : 3 : 2 for apple trees to pecan trees, to peach trees.

24/2 = 12

12 x 4 = 48

There would be 48 apple trees.

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➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

The ratio of any number should be taken in its simplest form only. If there were 24 peach trees, then 48 apple trees you would have.

If 4 apple trees are planted then 3 pecan trees are planted.

If 2 peach trees are planted then 3 pecan trees are planted.

Therefore, the ratio will be:

Apple Trees        Pecan Trees

     4                             3

Peach Trees         Pecan Trees

     2                             3

Thus, the ratio is 4:3:2.

Two values are equal to 24 peach trees.

One value is equal to the 12 trees.

The value of an apple is 4, therefore the number of apple trees will be 48 trees.  

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Answer:

The answer is A. 48 divided by 3 equals 16. Therefore, if you earn $48 for 3 hours, then you are earning $16 per hour.

Step-by-step explanation:

Hey there!

The correct answer is A. $48 for 3 hours

I figured this out by multiplying 16 by 3 which equals 48

Hope this helps you!

God bless ❤️

xXxGolferGirlxXx

There are 67 total people and 28 people on the swim team.

The probability of picking someone on the swim team would be 28/67 which is equal to 41.8%

Answer:

The probability that a randomly selected person is on the swim team is 41.79%

Step-by-step explanation:

The favorable event will be 28

The total no of event will be 67

So The probability will be  =  [tex]\frac{no of favorable events}{Total no of event}[/tex]

                                           =  [tex]\frac{28}{67}[/tex]

                                           =  41.79%

Thus the probability that a randomly selected person is on the swim team is 41.79% .

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Answer:

49.6 square meters

Step-by-step explanation:

first, circumference is 2*pi*r, so we want to find r.  so we take 2*pi*r=24.8 and solve for r which is 4.

Now, area is pi*r^2 so pi*4^2 = pi*16 = 49.6

Answer:

  see below for a graph

Step-by-step explanation:

One point can be plotted at the y-intercept: (0, -2). Since the slope tells you the line drops 3 units for each 2 units to the right, the point (2, -5) will be another point on the line. The graph will go through those two points.

Answer:

[tex]\large\boxed{D)\ y=\dfrac{1}{5}x+5}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

From the graph we have the y-intercept (0, 5) ⇒ b = 5

and the other point (5, 6).

Put the coordinates of the point to the formula of a slope:

[tex]m=\dfrac{6-5}{5-0}=\dfrac{1}{5}[/tex]

Finally we have the equation:

[tex]y=\dfrac{1}{5}x+5[/tex]

so, we have the denominators of 4 and 8, thus our LCD will just be 8, but let's firstly convert the mixed fractions to improper fractions and find their difference.

[tex]\bf \stackrel{mixed}{2\frac{3}{4}}\implies \cfrac{2\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{11}{4}}~\hfill \stackrel{mixed}{1\frac{7}{8}}\implies \cfrac{1\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{15}{8}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{11}{4}-\cfrac{15}{8}\implies \stackrel{\textit{using LCD of 8}}{\cfrac{(2)11~~-~~(1)15}{8}}\implies \cfrac{22-15}{8}\implies \cfrac{7}{8}[/tex]

Answer:

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

We can see Part by Part to get this question.

-8*x + 9

Now we can finally write:

y > -8x + 9

Answer choice B is right.

Answer:

[tex](x+6.2)^2 + (y-5.8)^2 = \frac{16}{81}[/tex]

Step-by-step explanation:

The vertex form of the equation of a circle is [tex](x-h)^2 + (y-k)^2 = r^2[/tex] where (h,k) is the center of the circle and r is the radius. This circle has center (-6.2, 5.8) and r= 4/9. Substitute h = -6.2, k = 5.8 and r = 4/9 into the vertex form. Then simplify for the equation.

[tex](x-h)^2 + (y-k)^2 = r^2\\(x--6.2)^2 + (y-5.8)^2 = \frac{4}{9}^2\\ (x+6.2)^2 + (y-5.8)^2 = \frac{16}{81}[/tex]

Answer:

x = 35

Step-by-step explanation:

Since they are vertical angles, the angles are congruent and therefore you can set them equal to each other.

4x + 20 = 3x + 55

Have x on one side of the equation by subtracting 3x from both sides.

x + 20 = 55

Subtract 20 from both sides of the equation.

x = 35

Answer:

5 cm by 5 cm

Step-by-step explanation:

The perimeter of this rectangle is 20 cm, and the relevant formula is

P = 20 cm = 2W + 2L.  Then W + L = 10 cm, or W = (10 cm) - L.

The area of the rectangle is A = L·W, and is to be maximized.  Subbing (10 cm) - L for W, we get A = L[ (10 cm) - L ], or A = 10L - L²

Note that this is the equation of a parabola that opens down.  With coefficients a = -1, b = 10 and C = 0, we find that the x-coordinate of the vertex (which is the x-coordinate of the maximum as well) is

x = -b / (2a).  Subbing 10 for b and -1 for a, we get:

x = -[10] / [2·(-1)] = 10/2, or 5.

This tells us that one dimension of the rectangle is 5 cm.

Since P = 20 cm = 2L + 2W, and if we let L = 5 cm, we get:

20 cm = 2(5 cm) + 2W, or

10 cm = W + 5 cm, or W = 5 cm.

Thus, choosing L = 5 cm and W = 5 cm results in a square, which in turn leads to the rectangle having the maximum possible area.

The dimensions that give the maximum area is 5 cm by 5 cm.

Given:

The perimeter of this rectangle is 20 cm, and formula for perimeter is

P= 2(W+L)

P = 20 cm = 2W + 2L.  

Then W + L = 10 cm,

or W = (10 cm) - L.

The area of the rectangle is A = L·W, and is to be maximized.  

On substituting the values, we get A = L[ (10 cm) - L ], or A = 10L - L²

Note that this is the equation of a parabola that opens down.  With coefficients a = -1, b = 10 and C = 0, we find that the x-coordinate of the vertex (which is the x-coordinate of the maximum as well) is

x = -b / (2a).  Subbing 10 for b and -1 for a, we get:

x = -[10] / [2·(-1)] = 10/2, or 5.

This tells us that one dimension of the rectangle is 5 cm.

Since P = 20 cm = 2L + 2W, and if we let L = 5 cm, we get:

20 cm = 2(5 cm) + 2W, or

10 cm = W + 5 cm, or W = 5 cm.

Therefore, choosing L = 5 cm and W = 5 cm results in a square, which in turn leads to the rectangle having the maximum possible area.

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I think the answer is x > -8.

Answer:

x > - 8

Step-by-step explanation:

Given

- 2x + 7 < 23 ( subtract 7 from both sides )

- 2x < 16 ( divide both sides by - 2 )

Remembering to reverse the inequality symbol when dividing/ multipkying by a negative quantity, hence

x > - 8 ← reversed symbol

23.5 hours is the anser yeteressdfdsfsjufrhhmrgijfjfxkjvnrtjeigrjiegre

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷The greatest prime factor is 9951 is 107.

You divide 9951 by 3, and you get 3317.

You divide 3317 by 31 (which is a prime number), and you get 107, which is also a prime number.

✽

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TROLLER

Answer:
Raise 3 to the number of days and then multiply this value by 2.

Step-by-step explanation:

TTM/Imagine Math.

The correct answer is:

C. Raise the number of days to the third power and then multiply this value by 2.

Sure, here's a step-by-step solution:

1. Initial Number of Infected People: Start with the initial number of infected people, which is 2 in this case.

2. Exponential Growth Model: Use the exponential growth model to represent the increase in the number of infected people each day. The model is given by the formula [tex]\(I = a \cdot 3^D\)[/tex], where:

  - [tex]\(I\)[/tex] is the number of infected people,

  - [tex]\(a\)[/tex] is the initial number of infected people (which is 2),

  - [tex]\(3\)[/tex] represents the tripling effect each day, and

  - [tex]\(D\)[/tex] is the number of days that have passed.

3. Raise 3 to the Power of Number of Days: Raise 3 to the power of the number of days that have passed. This accounts for the tripling effect each day.

4. Multiply by Initial Number of Infected People: Multiply the result from step 3 by the initial number of infected people (which is 2). This gives the total number of infected people after the given number of days.

So, to determine the number of infected people from the number of days that have passed, raise 3 to the power of the number of days and then multiply this value by 2. Therefore, option C is the correct answer.

The correct question is:

Two people become infected with a virus that spreads quickly. Each day that passes, the number of infected people triples. How can the number of infected people be determined from the number of days that have passed?

A. Raise 3 to the number of days and then multiply this value by 2 .

B. Add the number of days to 2 and then multiply this sum by 3.

C. Raise the number of days to the third power and then multiply this value by 2 .

D. Multiply the number of days by 3 and then add 2 to this product.

Answer:

Option d

Step-by-step explanation:

We know that 52,000 fans can fit into the stadium.

Then the amount of tickets that can be sold must equal 52,000.

If we call H the number of tickets for the home team and call V the number of tickets for the visiting team, then:

[tex]H + V = 52,000[/tex]

Then, we know that the local team has 5 times more fans than the visiting team. So we can write that:

[tex]H = 5V\\H-5V = 0[/tex]

Finally, the system of equations sought is:

[tex]H - 5V = 0\\H + V = 52 000[/tex]

Answer:

do u know the answer??

i think it is The function f is exponential and is growing by equal factors over equal intervals. The growth factor is 245%.

Step-by-step explanation:

The function f is exponential and is growing by equal factors over equal intervals. The growth factor is 245% option (B) is correct.

It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a^x

where a is a constant and a>1

We have a table in which the x, and f(x) data are shown.

As we can see the value of f(x) is increasing rapidly for every x.

The exponential function is:

y = a(1+r)×

After plugging all points and finding the value of a and r

y = 6.9402(2.4495)×

The exponential growth factor = 1 + r = 2.4495 ≈ 2.45 or 245%

Thus, the function f is exponential and is growing by equal factors over equal intervals. The growth factor is 245% option (B) is correct.

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[tex]\widehat{DPR}=\frac{1}{2}(\stackrel\frown{ET}-\stackrel\frown{DR}) = \frac{1}{2} (118 - 26) = \frac{92}{2} = 46°[/tex]

Answer:

1.2 pounds

Step-by-step explanation:

As mentioned in the question,

14.4 pounds of foods is distributed among 24 dogs.

Therefore, each dog gets: [tex]\frac{14.4 (pounds)}{24} = 0.6 pounds[/tex]

6 dogs eat only 0.4 pounds, so the amount left:  ( 0.6 - 0.4 ) = 0.2 pounds

Hence, the total food left in the bowls of six dogs = 6 * 0.2 = 1.2 pounds

Answer:

D

Step-by-step explanation:

Exponential equation takes the form  [tex]y=ab^x[/tex]  where

a is the initial value ( a ≠ 0), and

b is the base ( b ≠ 1)

The equation given can be written as  [tex]y=3.1^x\\y=1*3.1^x[/tex]. Thus, it is an exponential equation.

So a = 1 and b = 3.1

Thus we can say that the initial value = 1 and the base is 3.3