Determine the constant of varlation for the direct variation glven. Rvaries directly with S. When S is 16, R Is 80.​

Answer:

y = - 3x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \(\frac{1}{3}\) x - \(\frac{2}{3}\) ← is in slope- intercept form

with slope m = \(\frac{1}{3}\)

Given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{\frac{1}{3} }\) = - 3 , then

y = - 3x + c ← is the partial equation

To find c substitute (1, - 5 ) into the partial equation

- 5 = - 3 + c ⇒ c = - 5 + 3 = - 2

y = - 3x - 2 ← equation of perpendicular line

Answer:

50 – (11n – 5n)

Step-by-step explanation:

Answer:

120 min

Step-by-step explanation:

step 1. divide 100% by 2.5 (=40)

step 2. 40 time 3 minutes = 120!

so by the time it gets to 120 minutes it 100% and guaranteed

Answer:

120 mn

Step-by-step explanation:

100 PTS/// If you have a 2.5% chance of getting something every 3 minutes how long will it take until that's guaranteed?

Step-by-step explanation:

To work out the height of the cuboid, we need to use the formula:

Volume = Length x Width x Height

We have been given the volume and the length, so we can substitute those values into the formula:

540 = 6 x Width x Height

Now we need to convert the width from millimeters to centimeters, so we divide it by 10:

150mm ÷ 10 = 15cm

Substituting this value into the formula:

540 = 6 x 15 x Height

Simplifying:

540 = 90 x Height

Dividing both sides by 90:

6 = Height

Therefore, the height of the cuboid is 6cm.

Answer:

I am not sure but I will say A I guess.

Based on the given data, the probability that exactly 2 insects will survive is 0.1402 rounded to four decimal places.

The probability mass function for the binomial distribution is given by:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

where X is the random variable representing the number of successes (surviving insects), k is the specific number of successes we're interested in (k=2 in this case), n is the total number of trials (n=11), p is the probability of success (p=0.3), and (n choose k) is the binomial coefficient, which is the number of ways to choose k objects from a set of n objects.

Plugging in the values, we get:

P(X=2) = (11 choose 2) * 0.3² * 0.7²

= (55) * 0.09 * 0.02825

= 0.1402

Therefore, the probability that exactly 2 insects will survive is 0.1402 (rounded to four decimal places).

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This question is easy! it's simply asking to plug in -6 instead of the variable x.

h(-6)=-2(-6)+5

       =12+5

       =17

17 is your final answer.

Answer:

-4

Step-by-step explanation:

\(11v-8=3\)

\(11v=11\)

\(v=1\)

Then plug 1 in for v in 4v-8

\(4(1)-8\)

\(4-8\)

\(-4\)

Step-by-step explanation:

11v - 8 = 3

11v = 3 + 8

11v = 11

v = 11/11

v = 1

4v - 8

= 4(1) - 8

= 4 - 8

= -4

In the given equation, We can start by isolating the square root term on one side of the equation. The answer is {-2, 10}.

x + 6 - 9 = \(\sqrt{2x+29}\)

Simplifying the left-hand side:

x - 3 = root(2x + 29)

Squaring both sides of the equation to eliminate the square root:

(x - 3)^2 = 2x + 29

Expanding the left-hand side:

\(x^2\) - 6x + 9 = 2x + 29

Moving all the terms to one side of the equation:

\(x^2\) - 8x - 20 = 0

We can now use the quadratic formula to solve for x:

x = (-b ± sqrt(\(b^2\) - 4ac)) / 2a

where a = 1, b = -8, and c = -20.

Substituting these values into the formula, we get:

x = (-(-8) ± sqrt(\((-8)^2\) - 4(1)(-20))) / 2(1)

Simplifying the equation:

x = (8 ± sqrt(144)) / 2

x = (8 ± 12) / 2

So, we have two possible solutions:

x1 = 10

x2 = -2

Thus, the answer is {-2, 10}.

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Answer:

0.71

Step-by-step explanation:

please mark me brainliest please

Answer:

71%

Step-by-step explanation:

Simplify your fraction.

15/21 can turn into 5/7 when divided by 3.

Second, you'll divide 5/7.

You'll get a decimal like 0.71428 and so on, but you can just use the first 2 numbers.

71%

Kennedy, in their new brick and mortar storefront business selling beach apparel, might wish to focus on the following aspects to help achieve success:

Clear Purpose and Business Plan: Having a clear purpose and well-defined business plan is essential for success.

Making Concise and Timely Decisions: In a competitive retail environment, it is crucial to make timely decisions to stay agile and respond to customer needs.

Understanding Local Customer Base: While ignoring new trends and happenings in Russells Point may not be ideal, it is important for Kennedy to understand the preferences and needs of the local customer base.  

Balancing Quality and Price: While it is important to offer competitive prices, solely focusing on selling the cheapest items may not lead to long-term success.

Thus, by focusing on these aspects, Kennedy can establish a strong foundation for their beach apparel business and increase their chances of achieving success in Russells Point, Ohio.

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259.25π in² is the surface area of the cone

The surface area of a cone can be calculated using the formula SA = πr² + πrl

where r is the radius and l is the slant height.

Given that the diameter is 17 inches, the radius (r) is half of the diameter, which is 17/2 = 8.5 inches.

The slant height (l) is given as 22 inches.

Substituting these values into the formula:

Surface Area = π(8.5)² + π(8.5)(22)

= 72.25π + 187π

= 259.25π

Therefore, the surface area of the cone is 259.25π in²

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The sample size is maximized with the value of p vs the value of p-hat. Thus the correct option is C.

In the given question, when choosing a sample size for a population proportion a practitioner is considering either setting p = 0.5, or, using a preliminary estimate of p-hat=0.7.

We have to check which statement is true:

The formula to compute the sample size for population proportion is given below:

n = \(\frac{z^{2}_{\alpha/2}\times p\times(1-p)}{E^2}\)

where p is the estimated proportion. If prior estimates of proportion is not available, then p is taken as 0.5.

keeping the confidence level and margin of error constant, let \(\frac{z^{2}_{\alpha/2}}{E^2}\) = C

Suppose p=0.5

n = C × 0.5 × (1-0.5)

n = 0.25C

Suppose p-hat = 0.7

n = C × 0.7 × (1-0.7)

n = 0.21C

For any other estimate of p the sample size n will be the smaller as compared to p=0.5.

Therefore the sample size is maximized with the value of p vs the value of p-hat. Thus the correct option is C.

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Answer:

volume=60cm3, surface area=96cm2

Step-by-step explanation:

volume=1/3×(6×6)×5

=60cm3

surface area= 4(1/2×6×5)+(6×6)

=96cm2

Answer:

3.49 for 8 candles

Step-by-step explanation:

2.99/6=.49833

4.49/9=.49888

5.99/12=.49916

3.49/8=.43625

Unit rate is total price divided by quantity. This gives you the cost for 1 item.

Unit costs:

2.99 / 6 = 0.4983 each

4.49 / 9 = 0.4988 each

5.99 / 12 = 0.4991 each

3.49 / 8 = 0.4362 each

The Best Buy would be the one with the lowest unit price.

The Best Buy would be 3.49 for 8 candles.

The final answer is (f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

To find the composite functions (f o g)(x) and (g o f)(x), we need to substitute one function into the other.

(f o g)(x):

To find (f o g)(x), we substitute g(x) into f(x):

(f o g)(x) = f(g(x))

Let's substitute g(x) = x^2 - 8 into f(x) = x^2 + 8:

(f o g)(x) = f(g(x)) = f(x^2 - 8)

Now we replace x in f(x^2 - 8) with x^2 - 8:

(f o g)(x) = (x^2 - 8)^2 + 8

Simplifying further:

(f o g)(x) = x^4 - 16x^2 + 64 + 8

(f o g)(x) = x^4 - 16x^2 + 72

Therefore, (f o g)(x) = x^4 - 16x^2 + 72.

(g o f)(x):

To find (g o f)(x), we substitute f(x) into g(x):

(g o f)(x) = g(f(x))

Let's substitute f(x) = x^2 + 8 into g(x) = x^2 - 8:

(g o f)(x) = g(f(x)) = g(x^2 + 8)

Now we replace x in g(x^2 + 8) with x^2 + 8:

(g o f)(x) = (x^2 + 8)^2 - 8

Simplifying further:

(g o f)(x) = x^4 + 16x^2 + 64 - 8

(g o f)(x) = x^4 + 16x^2 + 56

Therefore, (g o f)(x) = x^4 + 16x^2 + 56.

(f o g)(2):

To find (f o g)(2), we substitute x = 2 into the expression (f o g)(x) = x^4 - 16x^2 + 72:

(f o g)(2) = 2^4 - 16(2)^2 + 72

(f o g)(2) = 16 - 64 + 72

(f o g)(2) = 24

Therefore, (f o g)(2) = 24.

In summary:

(f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

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Answer: $18.75

Step-by-step explanation:

1 - 3/8 = 5/8

12 x 5/8 = 7.5

7.5 x 2.5 = 18.75

Dave spent $18.75, in filling his car's tank of capacity 12 gallons up to the capacity, which was 3/8th filled already, at the unit rate of $2.50 per gallon of gas.

The unit rate is the quantity (cost/distance/time, etc.) for one unit of another quantity (cost/distance/time, etc.).

In the question, we are informed that the gas tank of Dave's car has a capacity of 12 gallons. The tank was 3/8 full before Dave filled it to capacity. It cost him $2.50 per gallon of gas.

We are asked the amount Dave spent.

The unit rate of gas is $2.50 per gallon.

To find the total amount spent by Dave, we need to find the volume of gas he filled and then multiply that volume with the unit rate.

The capacity of Dave's car's tank = 12 gallons.

Gas it already had = 3/8th of capacity,

or, gas it already had = 3/8 * 12 = 4.5 gallons.

Therefore, the volume of gas Dave filled = 12 - 4.5 gallons = 7.5 gallons.

The amount spent by Dave = Volume filled*Unit rate = $ 7.5 * 2.5 = $18.75.

Therefore, Dave spent $18.75, in filling his car's tank of capacity 12 gallons up to the capacity, which was 3/8th filled already, at the unit rate of $2.50 per gallon of gas.

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Being male and preferring Brand A are independent, as:

P(male|Brand A) = P(male).

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

From the table, we are already given the relative frequencies, hence we must simply identify the desired outcomes and the probability of being male is given as follows:

0.5 + 0.15 = 0.65.

The conditional probability of being male, given that the person prefers brand A, is given as follows:

P(male|Brand A) = P(male and Brand A)/P(Brand A) = 0.5/0.8 =  0.625.

As the probabilities are equal, the events are independent.

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Answer:

Your answer will be B. 22

Step-by-step explanation:

Answer:

x = 21

Step-by-step explanation:

As stated in the hint: When angles form a linear pair, their sum is 180° in other words, these are supplementary angles:

3x + 18 + 4x + 15 = 180 add like terms

7x + 33 = 180 subtract 33 from both sides

7x = 147 divide both sides by 7

x = 21

Answer:

just please like

Step-by-step explanation:

dont be rude

Answer:

Step-by-step explanation:So you know Sara had $211 total to spend on her books, so we can set our equation equal to $211. You also know she bought 6 books but you don't know what they each cost. We can assume that they cost the same amount, so we can define this as 6x because you know you bought six books for some unknown amount of money. We also know she didn't spend $13 of the dollars, so we can think that she actually only spend $198 (211-13) on books.

So our equation would look like:

$211 = 13 + 6x   We subtract 13 from each side to solve for x

-13       -13

198 = 6x             We divide each side by 6 to get x alone because any number over itself is 1

 6       6

x = $33               Solve. So Sara spend $33 for each

Answer:

no solutions

Step-by-step explanation:

-2+1=2+5

-1=7

-1 does not equal 7 so there are no solutions

Answer:

To find the average price of all 4 pies, we have to know the price of all 4 pies. You have only given the price of 3 of the pies, so there is no way to figure the average. The best you can do in this case is say that the peach pie costs (6 + 7 + 11 + X) / 4 dollars, where X is the cost of the peach pie.

I think you meant to say that the peach pie cost the average of the prices of the other three pies. In which case, it costs (6 + 11 + 7) / 3, or $8.00.

Step-by-step explanation:

Answer:

option :-a (0,5) is right answer

Answer:

(1,8) is not a solution

Step-by-step explanation:

plug in the ordered pairs to the equations to get the answers.

Answer:

Step-by-step explanation:

Each line has a rise of 4 units for each run of 5 units to the right. That makes the slope be ...

  m = rise/run = 4/5 = 0.8

The top line shows a simple proportional relationship, so its equation is ...

  y = 0.8x . . . . . top line

The bottom line has the same slope and a y-intercept of -3.2. Its slope-intercept form equation is ...

  y = mx +b . . . . . line with slope m and y-intercept b

  y = 0.8x -3.2 . . . . bottom line

Answer:

(4,2)

Step-by-step explanation:

The shape was moved...

4 units in the +x direction

and 2 units in the +y direction

Hence (4,2)

Answer:

b= -4

Step-by-step explanation:

On both sides of the equation has distributive property. We need to solve that first. Let's start with the left side of the equation.

*Positive multiplied by a negative equals a negative

-2b+2(b-10)= 2(10+5b)

-2b+2b-20= 2(10+5b)

-20= 2(10+5b)

Now let's solve the right side of the equation

-20= 20+10b

-20  -20

-40 = 10b

-40/10 = 10b/10

b= -4

Hope this helps!

The solution to the inequality expression is -8/9 ≤ x ≥ 4/9

From the question, we have the following parameters that can be used in our computation:

|3x + 6/9| ≥ 2

Expand the inequality expression

So, we have

-2 ≤ 3x + 6/9 ≥ 2

Subtract 6/9 from both sides

So, we have

-24/9 ≤ 3x ≥ 12/9

Divide through the equation by 3

-8/9 ≤ x ≥ 4/9

Hence, the solution to the inequality expression is -8/9 ≤ x ≥ 4/9

The graph is attached

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Answer:

1. 3 units

2. 4 units

3. 5 units

4. 10 units

Answer:

I think the correct answer is 45.

Step-by-step explanation: