7 : 8 : 9 = .... : 12 : ....

Answer:

B

Step-by-step explanation:

We want to find RX.

Note that RX is adjacent to ∠X and we also know the side opposite to ∠X.

Thus, we can use the tangent ratio. Recall that:

\(\displaystyle \tan\theta = \frac{\text{opposite}}{\text{adjacent}}\)

Substitute:

\(\displaystyle \tan6^\circ = \frac{8}{RX}\)

Take the reciprocal of both sides:

\(\displaystyle \frac{1}{\tan6^\circ}= \frac{RX}{8}\)

Multiply both sides by 8:

\(\displaystyle RX = \frac{8}{\tan6^\circ}\)

Use a calculator (make sure you're in Degrees mode!):

\(\displaystyle RX\approx 76.1149\)

Hence, our answer is B.

Answer:

Step-by-step explanation:

You need to save 399.99 - 15.28 = £384.71

384.71 / 7 = 54.95

So, you will get the required amount 54 weeks on a Friday, starting from the Friday you start saving,

In this particular scenario, the term "average" mean arithmetic mean.

In this scenario, "average" refers to the arithmetic mean of the prices of PR energy bars sold by eight grocery stores. To determine the average price of the energy bar, Sarah and Andrew added up the prices of the PR energy bar sold at all the eight grocery stores and divided the total by the number of stores which is 8. Sarah calculated that the average price of the candy bar was $1.37, and Andrew calculated that the average price of the energy bar was actually $1.41.

The steps Sarah followed to calculate the average price of the energy bar are shown below:

Add up the prices of the PR energy bar sold at all the eight grocery stores:

1.09 + 1.29 + 1.29 + 1.35 + 1.39 + 1.49 + 1.59 + 1.79 = $11.68

Divide the total by the number of stores, i.e., 8:

$11.68 / 8 = $1.46 (average price)

Therefore, Sarah calculated the average price of the energy bar to be $1.46.

Andrew calculated the average price of the energy bar as shown below:

1.09 + 1.29 + 1.29 + 1.35 + 1.39 + 1.49 + 1.59 + 1.79 = $11.68

Divide the total by the number of stores, i.e., 8:

$11.68 / 8 = $1.46 (average price)

Then add Sarah's value and Andrew's value and divide by 2:

($1.37 + $1.46)/2 = $1.415

Therefore, the average price of the energy bar as per Andrew is $1.415.

The average price difference between Sarah and Andrew’s calculations is not much. It only differs by 4 cents, which is negligible. It will not make much of a difference for most people. However, in situations where large quantities of a product are being sold or purchased, even small differences in price can add up to a significant amount of money. Hence, it is important to use the correct average price. Andrew is correct in this scenario because the value $1.415 lies closer to the price of the energy bars in most stores than $1.37.

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Answer:

18 and 162

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

Answer:

d and e

Step-by-step explanation:

for them to be possible side lengths of a triangle the two shorter sides added together have to be greater than the longest side and an answer D and e 6 + 4 is greater than 9 and 5 + 5 is greater than 9 to so those are possible side lengths

Spherical coordinates are a system of coordinates that describe points in three-dimensional space using a distance from the origin, an angle of inclination from the positive z-axis, and an angle of rotation around the z-axis.

To calculate the triple integral of f(x, y, z)=x2 y2 over the region rho≤2 using spherical coordinates, we first need to express the function in terms of the spherical coordinates.

We know that in spherical coordinates,

x = ρ sin(φ) cos(θ)
y = ρ sin(φ) sin(θ)
z = ρ cos(φ)

where ρ is the radial distance, θ is the azimuthal angle, and φ is the polar angle.

So, f(x, y, z) = x2 y2 can be expressed as

f(ρ, φ, θ) = (ρ sin(φ) cos(θ))2 (ρ sin(φ) sin(θ))2

= ρ4 sin2(φ) cos2(θ) sin2(φ) sin2(θ)

= ρ4 sin4(φ) cos2(θ)

Now, we can set up the triple integral using spherical coordinates.

∫∫∫ f(ρ, φ, θ) ρ2 sin(φ) dρ dφ dθ

= ∫0^2π ∫0^π/2 ∫0^2 f(ρ, φ, θ) ρ2 sin(φ) dρ dφ dθ

= ∫0^2π ∫0^π/2 ∫0^2 ρ4 sin4(φ) cos2(θ) ρ2 sin(φ) dρ dφ dθ

= ∫0^2π ∫0^π/2 ∫0^2 ρ6 sin5(φ) cos2(θ) dρ dφ dθ

= ∫0^2π ∫0^π/2 [ρ7/7 sin5(φ) cos2(θ)]0^2 dφ dθ

= ∫0^2π ∫0^π/2 32/7 sin5(φ) cos2(θ) dφ dθ

= 32/7 ∫0^2π cos2(θ) dθ ∫0^π/2 sin5(φ) dφ

= 32/7 [π sin6(π/2)/6]

= 32π/21

Therefore, the triple integral of f(x, y, z) = x2 y2 over the region rho≤2 using spherical coordinates is 32π/21.

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The profit margins (return on sales) for each division are approximately :Division A = 10.85%,Division B = 9.11% and The calculations for the year would be:Net Income = $85,428,Return on Assets = 18.9%.

To compute the profit margins (return on sales) for each division, we divide the profit by the sales and multiply by 100 to express the result as a percentage.

For Division A:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($230,000 / $2,120,000) * 100

Profit Margin ≈ 10.85%

For Division B:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($34,700 / $381,000) * 100

Profit Margin ≈ 9.11%

To calculate the net income and return on assets for Polly Esther Dress Shops Inc., we use the given information.

Net Income = Profit Margin * Sales

Net Income = 7% * $1,220,400

Net Income = $85,428

Return on Assets = Profit Margin * Asset Turnover

Return on Assets = 7% * 2.7

Return on Assets = 18.9%

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Answer:

each frisbee costs $1.19

Answer:

It should be $1.19 I hope this helps

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

becuase 20+60 is 80

There are 4265526.78 milliliters in a pint

For us to have accuracy and avoid confusion in measurement, we need to convert one unit to another. For instance, we do not measure the length of a pencil in kilometres. In such a case, one has to convert kilometre (km) to centimetre (cm). For example 1000m makes 1km and 100cm makes 1meter

Since 946946946 mililiters equals 1 quart

and 1 quart equals 222pints

This means 222pints = 946946946 milliliters

Therefore 1 pint = 946946946/222

1 pint = 4265526.78 milliliters

Therefore there are 4265526.78 milliliterss in a pint.

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Answer:

x = 84

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

a pentagon has 5 sides , so n = 5

sum = 180° × (5 - 2) = 180° × 3 = 540°

sum the interior angles and equate to 540

x + x + 20 + x + 20 + x + 40 + x + 40 = 540

5x + 120 = 540 ( subtract 120 from both sides )

5x = 420 ( divide both sides by 5 )

x = 84

The value of function at x = 36 is 34.12.

To find the cost of mailing an object that weighs 36 pounds, we can substitute the value of x into the function f(x) = 5.32 + 0.80x.

The function f(x) = 5.32 + 0.80x represents a linear relationship between the weight of the object (x) and the cost (f(x)) with a base cost of $5.32 and an additional cost of $0.80 per pound. By plugging in the value of 36 into the function, we can calculate the specific cost for that weight.

Plugging in x = 36, we have:

f(36) = 5.32 + 0.80 * 36

Simplifying the expression:

f(36) = 5.32 + 28.8

f(36) = 34.12

Therefore, f(36) is equal to 34.12. This means that it would cost $34.12 to mail an object weighing 36 pounds according to the given function.

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a) The value of k for the systematic sample is given as follows: k = 114.

b) The individuals are: 1, 2, 3, 4, 5.

In a systematic sample, every kth element of the sample out of a sample of n elements is taken.

In this problem, we have a total of 5705 employees, and want a systematic sample of 50 employees, hence the value of k is obtained as follows:

k = 5705/50 = 114.

(rounding the value down to the nearest integer, we just divide the number of people by the sample size to obtain the value of k).

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The signof function is defined as follows:

def signof(num):
   if num > 0:
       return 1
   elif num == 0:
       return 0
   else:
       return -1

In the above code snippet, we have defined a function named signof which receives an integer argument named num. The if condition checks if the num is greater than 0, if yes, the function will return 1 as it is positive. Else if the num is equal to 0, then it will return 0, as per the requirement. Otherwise, it will return -1 as the number is negative. This code snippet will give the required output as per the requirement of the problem statement.

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A clockwise rotation of 144° about the origin will map the pentagon onto itself. Option(c) is the correct answer.

The number of sides (n) of the pentagon is:

n =5

The pentagon will not be plotted onto itself when reflected across the x-axis because the pentagon has 5 sides (an odd number of sides).

To draw the pentagon onto itself, the pentagon has to be rotated.

The angle of rotation is:

θ \(= \frac{360}{n}\)

θ  \(=\frac{360}{5} = 72\)

Other possible angles of rotation must be multiple of 72. i.e.

θ= 72, 144, 216, 288...

Hence, a clockwise rotation of 144° about the origin will map the pentagon onto itself.

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The complete question is:

A regular pentagon is centered about the origin and has a vertex at (0, 4). Which transformation maps the pentagon to itself?

a. A reflection across line m

b. A reflection across the x-axis

c) A clockwise rotation of 144 degrees about the origin

Answer:

Step-by-step explanation:

2/5 + 3/7 + 1/4 = 28/140 + 60/140 + 35/140 = 123/140

The correct answer for the degrees of freedom when conducting a t test for the correlation coefficient in a study with 16 individuals is 14.

The degrees of freedom for a t test in a study involving correlation coefficients can be calculated using the formula: df = N - 2, where N represents the sample size. In this case, the sample size is 16, so the degrees of freedom would be 16 - 2 = 14.

Therefore, The correct answer for the degrees of freedom when conducting a t test for the correlation coefficient in a study with 16 individuals is 14.

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Step-by-step explanation:

ahhhhhhhhhhhhhhhhhhhhh

Given that a circle with radius 20 has a corresponding angle of 305°.

To find the coordinates of a point on the circle, we use the formula:`(r cos (θ), r sin (θ))`Here, `r = 20` and `θ = 305°`.

Substituting the values of `r` and `θ` in the formula, we get:`(20 cos (305°), 20 sin (305°))`

Using the values of trigonometric ratios, we can write:cos(305°) = cos(360° - 305°) = cos(55°) ≈ -0.5736sin(305°) = sin(360° - 305°) = sin(55°) ≈ 0.8192

Hence, the coordinates of a point on a circle with radius 20 corresponding to an angle of 305° are approximately `(-11.47, 16.38)`.

The coordinates of a point on a circle with radius 20 corresponding to an angle of 305° are approximately `(-11.47, 16.38)`

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Answer:

$6 tickets:  16; $10 tickets:  45

Step-by-step explanation:

We need a system of equations to find the number of each type of ticket sold.

Thus, we have \(x+y=60\), where x = the number of $6 tickets and y = the number of $10 tickets

We also have \(6x+10y=540\)

We can use the elimination method to find y:

\(x+y=60\\6x+10y=540\\\\-6(x+y=60)\\\\-6x-6y=-360\\6x+10y=540\\\\(4y=180) / 4\\\\y=45\\\\(x+45=60)-45\\\\x=15\)

Answer:

almost.

Step-by-step explanation:

You can write almost every linear equation in slope-intercept form.

Slope-intercept form is:

y = mx + b

So every line except a vertical line can be written in the form y=mx+b.

This form cannot be used when m is undefined.

The ratio of Mary's share to Katherine's share to Alex's share is 5:4:1, which means Mary pays 5/10 of the bill, Katherine pays 4/10 of the bill, and Alex pays 1/10 of the bill.

To find the ratio, we can write their contribution as a fraction of the total parts and then solve the fractions then they'll have the same denominator.

So, Mary's share is 5/10, Katherine's share is 4/10, and Alex's share is 1/10.

To convert this as a ratio, we write 5:4:1, where each number represents the number of parts each person pays, and the colon separates each person's contribution.

Therefore, the ratio of Mary's share to Katherine's share to Alex's share is 5:4:1

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Given the expression:

2.5x

Let's determine the situation which best represents the expression.

Let's start from the first statement:

• A. The total amount of change received to pay for an item that cost $2.50:

The best representation for this is: C = A - 2.50

Where A is the amount paid, C is the amount of change.

• B. The area of a rectangle with side lengths 2.5 and x:

The best representation for this situation is:

2.5x

• C. The total cost of an item that is 2.50 more than x dollars:

T = 2.50 + x

• D. The total square footage of a yard when 2.50 yards is divided into equal parts:

This expression cannot be represented by 2.5x

Therefore, the situation which can be represented by the expression 2.5 is:

The area of a rectangle with side lengths 2.5 and x

ANSWER:

B. The area of a rectangle with side lengths 2.5 and x

Answer: the sum of any number and its opposite is 0.

Step-by-step explanation:

Example: +10-10=0

Sum, then the negative number(or positive)= 0

Answer: $58.50

Step-by-step explanation:

    We will set up a proportion to help us solve.

\(\displaystyle \frac{15\; \text{boxed lunches}}{\$175.50} =\frac{5\; \text{boxed lunches}}{\$x}\)

     Next, we will cross-multiply.

15 * x = 175.5 * 5

15x = 877.5

x = $58.50

Answer:

Exact form: 6Г6

Decimal form simplified: 14.7

Step-by-step explanation:

simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

The only combination you will not find in a valid deductive argument is "false premises and a true conclusion."

A deductive argument is considered valid when the conclusion logically follows from the premises. In other words, if the premises are true, the conclusion must also be true. Therefore, in a valid deductive argument, the premises and conclusion must have a consistent truth value.

Let's examine the given answer choices:

1. True premises and a false conclusion: This combination would result in an invalid deductive argument because the conclusion contradicts the truth of the premises. For example:

Premise 1: All mammals are warm-blooded.

Premise 2: Elephants are mammals.

Conclusion: Elephants are cold-blooded.

2. True premises and a true conclusion: This combination represents a valid deductive argument. If the premises are true and the conclusion logically follows, the argument is valid.

3. False premises and a false conclusion: This combination may or may not represent a valid deductive argument. Although the premises and conclusion have the same truth value, it does not necessarily mean that the argument is valid. It is possible for a deductive argument with false premises and a false conclusion to be valid, as long as the reasoning is sound.

4. False premises and a true conclusion: This combination represents an invalid deductive argument. The truth of the conclusion cannot be guaranteed if the premises are false. Therefore, this combination is the one you will not find in a valid deductive argument.

In a valid deductive argument, you will not find the combination of false premises and a true conclusion. This combination would render the argument invalid because the conclusion would not be guaranteed to follow logically from the false premises.

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Answer:

0, 5%, 1/5, 5

5% is equal to 5÷100=0,05

1/5 is equal to 1÷5=0,2