a seed company sells two grades of grass seed. And hundred pound bag of a mixture of rye and Bluegrass sells for $255, and a hundred pound bag of Bluegrass sales for $348. How many bags of each are sold in the week when the receipts for 18 bags are $5334?​

the length of the rope is approximately 11.9 feet.

What is right angle triangle?

The term "right-angled triangle" refers to any triangle with an internal angle that is either a right angle or 90 degrees in value. The right triangle or the 90-degree triangle are other names for this triangle because of this. Right triangles have "opposite" and "adjacent" sides, which refer to the sides that are across from and next to respective angles, respectively. When a right triangle is formed, the hypotenuse is its longest side.

We can consider the flagpole, the ground, and the rope as forming a right triangle. The angle between the flagpole and the rope is 90 degrees, and the angle between the rope and the ground is 35 degrees. Therefore, the angle between the flagpole and the ground is 90 - 35 = 55 degrees.

Let's call the length of the rope "r". We can use the trigonometric function tangent to find r:

tan(35°) = opposite/adjacent = r/20

Multiplying both sides by 20, we get:

r = 20 tan(35°)

Using a calculator, we get:

r ≈ 11.9 feet

Therefore, the length of the rope is approximately 11.9 feet.

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Answer:

The only answer should be C and D

Step-by-step explanation:

C and D are the same answer. For example you have the ordered pair (?, -9) Negative nine would be the Y value. ON the graph the Y value here is Positive one. So far you have  (?, 1). If you look at the graph again Those lines that touch the X-axis  are infinite. You don't have a positive infinite on one of the answer choices. The only infinite you have if the Negatives ones. Therefore you final answer should come to (Negative Infinite, 1).

Hope this helped!!

Answer:

Step-by-step explanation:

[-3,0)

Answer:

0.5

Step-by-step explanation:

10/5=0.5, or one half.

All the values are,

sin π = 0

cos π = - 1

tan π = 0

sin π/2 = 1

cos π/2 = 0

tan π/2 = ∞

We have to given that;

⇒ θ = π

⇒ θ = π/2

Hence, All the values of sine, cosine and tangent of θ are,

At θ = π;

sin θ = sin π

      = 0

cos θ = cos π

         = - 1

tan θ = tan π

        = 0

At  θ = π/2;

sin θ = sin π/2

      = 1

cos θ = cos π/2

         = 0

tan θ = tan π/2

        = ∞

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The set of points related to an exponential function and matched with set of translated points are, respectively:

(x, y) = (- 1, 0.5) → (x', y') = (2, - 1.5)

(x, y) = (0, 1) → (x', y') = (3, - 1)

(x, y) = (2, 4) → (x', y') = (5, 2)

(x, y) = (3, 8) → (x', y') = (6, 6)

(x, y) = (1, 2) → (x', y') = (4, 0)

(x, y) = (- 2, 0.25) → (x', y') = (1, - 1.75)

According to statemente, we find the case of set of points related to an exponential function and a set of translated points, after a quick inspection we derive the transformation rule:

Horizontal translation: 3 units right, vertical translation: 2 units down.

Now we check the statement on each ordered pair:

(x, y) = (- 1, 0.5):

(x', y') = (- 1, 0.5) + (3, - 2) = (2, - 1.5)

(x, y) = (0, 1):

(x', y') = (0, 1) + (3, - 2) = (3, - 1)

(x, y) = (2, 4):

(x', y') = (2, 4) + (3, - 2) = (5, 2)

(x, y) = (3, 8):

(x', y') = (3, 8) + (3, - 2) = (6, 6)

(x, y) = (1, 2):

(x', y') = (1, 2) + (3, - 2) = (4, 0)

(x, y) = (- 2, 0.25):

(x', y') = (- 2, 0.25) + (3, - 2) = (1, - 1.75)

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Answer:

0.41

Step-by-step explanation:

p (A) = 0.2

P (B) =?

P (A or B) = 0.61

but P (A or B) = P (A) + P (B)

therefore P(B) = P (A or B) - P(B)

= 0.61 - 0.2

= 0.41

Answer: A triangle that only has two congruent sides is called an isosceles triangle. Two equal sides and two equal angles.

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

x = 1.08547955

The probability of randomly selecting a male student and female student are non-smokers is 0.6771

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

Probability = (Number of possible outcomes)/(Total number of outcomes)

According to the given question:

Number of male students are smokers = 61

Number of male students are non smokers = 549

Total number of male students = 610

Number of female students are smokers = 156

Number of female students are non smokers = 444

Total number of female students = 600

Probability that both are non smokers is given by

P (non-smoker males) x P (non-smoker females)

= \(\frac{549}{610} . \frac{444}{600}\)

= 0.915 x 0.74

= 0.6771

Therefore the probability that both male and female are non-smokers is 0.6771.

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Answer:

(From left to right) 2  5  8

Step-by-step explanation:

1. Find the gap (between the first and last terms) 11 - (-1) = 12

2. Divide by the number of times the linear term is added: 12/4=3

3. Use the common difference to find the missing values.

Answer:

here,

15 pound bag =$6.30

or, 1 pound bag = 6.30/15

or, 1 pound bag = $0.42

or,29 pound bag = 29 X $ 0.42

or, 29 pound bag = $ 12.18

Hence, a 29 pound bag of apple cost $12.18

Answer:

Let x be the number of chocolate chips in each cookie according to the company's claim.

Then, according to the problem, if there are ccc chips in each cookie, there will be a total of 200 chips in 10 cookies. We can express this relationship as:

10x = 200

Solving for x, we can divide both sides of the equation by 10:

x = 20

Therefore, the company claims that there are 20 chocolate chips in each cookie.

I Hope This Helps!

Answer:

Step-by-step explanation:

This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.

\(\begin{array}{llll} f(x)~from\\\\ x_1 ~~ to ~~ x_2 \end{array}~\hfill slope = m \implies \cfrac{ \stackrel{rise}{f(x_2) - f(x_1)}}{ \underset{run}{x_2 - x_1}}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array} \\\\[-0.35em] ~\dotfill\\\\ f(x)= 2x^2 + x -3 \qquad \begin{cases} x_1=0\\ x_2=2 \end{cases}\implies \cfrac{f(2)-f(0)}{2 - 0} \\\\\\ \cfrac{[2(2)^2 + (2) -3]~~ - ~~[2(0)^2 +(0) -3]}{2}\implies \cfrac{7-(-3)}{2}\implies \cfrac{7+3}{2}\implies \text{\LARGE 5}\)

The rate of change for the interval between 0 and 2 for the quadratic equation will be 5. Then the correct option is C.

It is the average amount by which the function varied per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph depicting the function.

Average rate = [f(x₂) - f(x₁)] / [x₂ - x₁]

The function is given below.

f(x) = 2x² + x - 3

The rate of change of the function for the interval between 0 to 2 is calculated as,

Average rate = [f(2) - f(0)] / [2 - 0]

Average rate = [(2(2)² + 2 - 3) - (2(0)² + 0 - 3)] / 2

Average rate = 10 / 2

Average rate = 5

The rate of change for the interval between 0 and 2 for the quadratic equation will be 5. Then the correct option is C.

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The worker B has a higher variance of σ² = 9 and standard deviation of 3

The standard deviation refers to a measurement of the data dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

Standard Deviation is calculated by

Each number's deviation from the mean must be determined, and then squared.

Next, add up all of these values.

Divide the result by the quantity of numbers.

Then calculate its square root.

Given data ,

Let the data of worker A = { 5, 4, 4, 6, 7, 5, 6, 3 }

Let the data of worker B = { 4, 8, 1, 9, 2, 9, 4, 3 }

Now , the mean of worker A = 5

The mean of worker B = 5

So , the standard deviation of worker A is calculated as

The sum of the difference of the data from mean is

SD = √ ( 5 - 5 )² + ( 5 - 4 )² + ( 5 - 4 )² + ( 5 - 6 )² + ( 5 - 7 )² + ( 5 - 5 )² + ( 5 - 6)² + ( 5 - 3 )² / 8

On simplifying the equation , we get

SD = √ ( 12/8 )

SD = √1.5

Standard deviation σ = 1.2247449

And , the variance of worker A is σ² = 1.5

Now ,

The standard deviation of worker B is calculated as

The sum of the difference of the data from mean is

SD = √ ( 5 - 4 )² + ( 5 - 8 )² + ( 5 - 1 )² + ( 5 - 9 )² + ( 5 - 2 )² + ( 5 - 9 )² + ( 5 - 4)² + ( 5 - 3 )² / 8

On simplifying the equation , we get

SD = √ ( 72/8 )

SD = √9

Standard deviation σ = 3

And , the variance of worker A is σ² = 9

Hence , the worker B has higher standard deviation

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Answer:

5.5 liters of each i believe

Step-by-step explanation:

im so sorry if im wrong im only trying to help :)

Answer:

No

Step-by-step explanation:

Because

14.99 + 1.50 = 16.49

16.49 + 6% = 17.4794

17.4794 + 20% = 20.97528

Now if you round 20.97528

It becomes 20.98

I hope this is correct!

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Answer: 1.2 miles a day

Step-by-step explanation:

Answer:

17. no 18. yes 19. no 20. yes 21. yes 22. no

Answer:

Step-by-step explanation:

You haven't answered any questions, yet…

Answer:

$8.78

Step-by-step explanation:

first you need to find 20% of $175.50

which is 35.10

then you divide 35.10 by 4 leaving you with 8.78

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Answer:

y=3x-2

Step-by-step explanation:

Since we already know the slope, all we need to find is the y-intercept

The equation for a line is:

y=mx+b where m is the slope and b is the y-intercept. x and y are the x and y coordinates. We can use the numbers given in the problem and plug them into the equation...

y=mx+b

-8=3(-2)+b

-8=-6+b

b=-2

So the equation would be...

y=3x-2

this is the answer:

y-3x+2=0

The amount of the sale of the home is $2090181.82

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

Commission = 5.5% on the sale of a home

Also, we have

Commission  = 114960

using the above as a guide, we have the following:

5.5% on the sale of a home = 114960

So, we have

5.5% * sale of a home = 114960

Divide both sides by 5.5%

sale of a home = 114960/(5.5%)

Evaluate

sale of a home = 2090181.82

Hence, the sale of the home is $2090181.82

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Answer:

In50=3.912023005

Step-by-step explanation:

press it on your calculator

1a. The percentage total return is -19.56%

1b. The dividend yield is 2.42%.

1c. The capital gains yield is -21.98%.

2a. The arithmetic average annual return on large-company stocks in nominal terms is 14.5%.

2b. The arithmetic average annual return on large-company stocks in real terms is 9.67%.

3a. The real return on long-term government bonds is 3.195%

3b. The real return on long-term corporate bonds is 3.291%

In Financial accounting, the percentage total return (P) can be calculated by using this formula;

P = [(Ending price - Initial price) + Dividend] ÷ Initial price

P = [(71 - 91) + 2.20] ÷ 91

P = -0.1956 or -19.56%

1b. For the dividend yield, we have:

Dividend yield = Dividend ÷ Initial price

Dividend yield = 2.20 ÷ 91

Dividend yield = 0.0242 or 2.42%

1c. For capital gains yield, we have:

Capital gains yield = (Ending price - Initial price) ÷ Initial price

Capital gains yield = (71 - 91) ÷ 91

Capital gains yield = -0.2198 or -21.98%.

Part 2.

a. The arithmetic average of annual return on large-company stocks in nominal terms is equal to 14.5%.

b. For arithmetic average annual return in real terms, we have:

(1 + 0.145) = (1 + r)(1 + 0.044)

r = (1.145/1.044) - 1

r = 9.67%

Part 3.

a. For real return on the long-term government bonds, we would apply Fisher equation:

(1 + i) = (1 + r)(1 + h)

Where:

(1 + 0.066) = (1 + r)(1 + 0.033)

1 + r = 1.066/1.033

r = 3.195%

b. For real return on long-term corporate bonds:

(1 + 0.067) = (1 + r)(1 + 0.033)

1 + r = 1.067/1.033

r = 3.291%

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Answer:

Step-by-step explanation:

I think it’s 36 servings, but I am not sure

Answer:111.94

Step-by-step explanation:

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

25% = 25/100 = 25 ÷ 100 = 0.25.

100% = 100/100 = 100 ÷ 100 = 1.

New value =

149.25 - Percentage decrease =

149.25 - (25% × 149.25) =

149.25 - 25% × 149.25 =

(1 - 25%) × 149.25 =

(100% - 25%) × 149.25 =

75% × 149.25 =

75 ÷ 100 × 149.25 =

75 × 149.25 ÷ 100 =

11,193.75 ÷ 100 =

111.9375 ≈

111.94

This mathematical statement shows symmetric property of equality,

The given mathematical statement is,

If AB = CD, then CD = AB.

So proceed the given equation:

AB = CD.

Apply the symmetric property of equality,

This property states that if a = b, then b = a.

Therefore,

In this case, we can rewrite the equation as,

⇒  CD = AB.

Therefore,

We have shown that if

⇒  AB = CD, then CD = AB.

Hence, we can see that the symmetric property of equality allows us to switch the order of the two quantities in the equation without changing its truth value.

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