if the markup is 15% and the HATS cost $18 list the retail price of one hat

The m∠ R for m ∠ S=70° is 26.4°.

In the question, it is given that t=7 ft and s=13 ft in ΔRST. To find out what is measure of ∠ R for measure of ∠ S as 70°, we have to make use of a formula which is known as Law of Sines. The law of sine states that, the ratio of the side of the triangle to it's opposite angle is constant.

In this case we have t=7 ft and s=13ft, so the equation becomes:

s / sin(S) = t / sin(R)

13 / sin (70) = 7 / sin (R)

sin(R) = 7/10 * sin (70)

sin(R) = 0.4409

m ∠ R = sin⁻¹(0.4409)

m ∠ R = 26.4°

Therefore, measure of ∠ R when measure of  ∠ S is 70° is 26.4°.

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Answer:

Step-by-step explanation:

Both lines have same slope so the graph of both equation will be same and hence it will overlap each other that is why the Henry  could only see one line.

Step-by-step explanation:

Given  : A system of linear equation 3x - 2y = 4 and 9x - 6y = 12  

We have to show whey when Henry  graphed the equations 3x-2y=4 and 9x-6y=12 he could only see one line.

Consider the given system of linear equation

3x - 2y = 4 ................(1)

9x - 6y = 12   ..................(2)

Since,

Equation (2) is multiple of equation (1),

3 × ( 3x - 2y = 4) = 9x - 6y = 12  

Also the slope of given equations are same

For equation (1),

Differentiate with respect to x, we get,

3-2dy/dx = 0

dy/dx = 3/2

Also for equation (2),

Differentiate with respect to x, we get,

9 - 6dy/dx = 0

dy/dx = 9/6 = 3/2

Since, both lines have same slope so the graph of both equation will be same and hence it will overlap each other.

That is why the Henry  could only see one line.

Answer:

there are 54 buffalos in 150 acres

Step-by-step explanation:

1. determine the rate of buffalos per acres

45 buffalos per 125 acres =

45 / 125 =

0.36 buffalos per 1 acre

now we know the rate of buffalos per 1 acre, we can multiply it by the required amount of acres (in this case 150)

buffalos per 1 acre x total acres = total buffalos per total acres

0.36 x 150 = 54 buffalos

therefore, there are 54 buffalos per 150 acres.

hope this helps :)

Z is in accordance with N(0,1). The probability that Z is between -2.3 and 1.54 is 0.897. The 95th percentile of Z is 1.645. The probability that Z is greater than 1.23 is 0.109.

To calculate this probability, we need to find the area under the standard normal distribution curve between -2.3 and 1.54. This can be done using the standard normal distribution table or a statistical software.

The percentile represents the point below which a given percentage of the distribution falls. In this case, we want to find the Z value such that 95% of the distribution is below it.

We can look up this value in the standard normal distribution table, which provides the Z-scores corresponding to different percentiles. The Z-score for the 95th percentile is 1.645.

The probability that Z is greater than 1.23 is 0.109.

To calculate this probability, we need to find the area under the standard normal distribution curve to the right of 1.23. This can be done using the standard normal distribution table or a statistical software.

In summary:

P(-2.3 ≤ Z ≤ 1.54) = 0.897

The 95th percentile of Z is 1.645

P(Z > 1.23) = 0.109

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Answer:

1. C

2.A

3.A

Step-by-step explanation:

Answer:

what?

Step-by-step explanation:

Answer:

381 in^3

Step-by-step explanation:

The volume of the green block is V1 = length(width)(height), or

                                                         V1 = (16 in)(7 in)(3 in) = 336 in^3, and

the volume of the red triangular prism is V2 = (1/2)(3 in)(5 in)(6 in) =

                                                           V2 = 45 in^3

So the total volume is the sum of these two results:  381 in^3

Answer:

b

Step-by-step explanation:

it's right cause I took the quix

Answer:

{1000, 1100, 1200, 1300, 1400, 1500, 1600}

Step-by-step explanation:

\(\text{Domain is the set of x values}\) (The input)

\(\text{andRange is the set of y values}\) (The output)

\(\text{In this case, y = pay per month}\)

\(\text{so Range = {1000, 1100, 1200, 1300, 1400, 1500, 1600}}\)

Answer: 84 square feet

Step-by-step explanation:

width = x

perimeter = x + x + 12 + 12 = 38

so 2x + 24 = 38....so 2x = 14  so x = 7

Area = length x width = 12 x 7 = 84 square feet

The circumference of the hub cap of a tire is given as 84.47 cm .A = πr²Where A is the area of the circle and r is the radius of the circle.

The circumference of the hubcap is given as: C = 2πr Given the circumference of the hub cap, we can find the radius as follows: C = 2πr84.47 = 2 × 3.14 × r84.47 = 6.28rR = 84.47/6.28R = 13.44 cm Now, the area of the hubcap can be found using :A = πR²A = 3.14 × (13.44)²A = 3.14 × 180.6336A = 567.87 cm²Therefore, the area of the hubcap is 567.87 cm².If the circumference of the hubcap were smaller, the radius of the hubcap would also be smaller, leading to a smaller area of the hubcap. The area of the circle is directly proportional to the square of its radius, which means that if the radius decreases by a factor of x, the area decreases by a factor of x².

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If humans move at the same rate as a cockroach that is 1.5 inches long with 50 body clicks per second, a person who is 70 inches tall will move at 2.1 clicks per second.

The unit rate or speed of the human person compared to the cockroach is determined by proportion.

Unit rate is the quotient of the total value and the number of values involved.

The length of a cockroach = 1.5 inches

The cockroach's body clicks per second = 50

The height of a human person = 70 inches

Proportionately, the person's clicks per second = 2.1 (1.5 x 70/50).

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Answer:

D. (Jesse with a score of 75)

Step-by-step explanation:

Abby has 15/20 on her quiz, and we can convert that to 0.75. We can turn 0.75 into 75 points in her quiz.

Jesse has 18/30 on her quiz, and we can convert that to 0.60. We can turn 0.60 into 60 points in her quiz.

0.75 > 0.60, so Jesse has more.

Answer:

Jesse has the better score

Answer:

x=115°

y=65°

Hope it helped<3

x = 115° [corresponding angles]

y = 180° - x = 180° - 115° = 65° [linear pair]

Answer:

15 4

Step-by-step explanation:

3 x 5 4 = 15 4 So, the answer to the question "what is 3 divided by 4/5" is = 15 4

Answer:

2.3 + w > 18

Step-by-step explanation:

a) Baumol-Tobin model of money demand is based on the transaction costs. b)Milton Friedman argued for a 0% nominal interest rate as he believed that the nominal interest. c)True. Wage growth resulting from an increase in expected inflation is a sign. d)Uncertain. The money supply may not increase by exactly $10 million if the central bank buys $10 million worth of securities. e) False. The Taylor Rule is an explicit rule in central banking that provides guidance on setting the policy  

a) Baumol-Tobin model of money demand is based on the transaction costs of converting non-monetary assets into money and vice versa.

Whereas, the Money in the Utility Function model of money demand is based on the utility of holding money as a store of value and the opportunity cost of holding non-monetary assets.

b) Milton Friedman argued for a 0% nominal interest rate as he believed that the nominal interest rate should reflect the real rate of return and expected inflation, and a 0% nominal interest rate would help stabilize the economy by reducing fluctuations in the nominal interest rate.

c) True. Wage growth resulting from an increase in expected inflation is a sign, not the cause, of inflation. An increase in expected inflation can lead to an increase in nominal wages, but this increase in nominal wages does not cause inflation. Instead, inflation is caused by an increase in the money supply.

d) Uncertain. The money supply may not increase by exactly $10 million if the central bank buys $10 million worth of securities. This is because the central bank may purchase securities from a bank that already has excess reserves, which would not increase the money supply.

e) False. The Taylor Rule is an explicit rule in central banking that provides guidance on setting the policy interest rate based on the output gap and inflation deviation from target.

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The Fourier series of one period a(x) on \(-\pi\) to \(\pi\) is 23.096.

What is Fourier series ?

A fourier series is an expansion of a periodic function f(x) in terms of an infinite sum of sines and cosines. Fourier Series makes use of the orthogonality relationships of the sine and cosine functions. Expand the function f(x) = ex in the interval [ – π , π ] using Fourier series formula.

Have given,

a(x) on domain (\(-\pi ,\pi\))

Let ,

I = ∫\(\pi\) \(e^{x}\) dx

on integration

I = \([e^{x}]^{\pi }_{-\pi }\)

I = \(e^{\pi } - e^{-\pi }\)

I = 23.14 - 0.043

Thus, I = 23.096

The Fourier series of one period a(x) on \(-\pi\) to \(\pi\) is 23.096.

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Answer:

It would be decrease increase

Step-by-step explanation:

Answer:10, decrease

Step-by-step explanation: Ten is the outlier because, for example, the numbers on screen are like close to each other. 10 is not close to any of the numbers, so the answer is 10 and the data set will decrease.

The possible values of x be  4.8, 5.6 and 6.4.

The statement of equality between two expressions consisting of variables and/or numbers.

Given:

5x -4y = 24

when y=0

5x = 24

x = 4.8

when y=1,

5x= 28

x= 5.6

when y=2,

5x= 32

x= 6.4

Hence, the possible values of x is 4.8, 5.6 and 6.4.

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Answer:

To find a, you'll put the value 8.3 as x in the equation to get the value of y which is equal to a. For the second point you'll put -10.2 as the value of y in the equation to get x which is equivalent to b.

Step-by-step explanation:

every point represents an ordered pair of (x, y) values.

if the point is on the given line (or any other form of curve/ function), then these x and y values make the functional equation true. if the equation turns out to be false with these values, then the point is not on that functional curve.

so, we need to find a and b to make the equations true.

(8.3, a)

3×8.3 - 4a + 24 = 0

24.9 + 24 = 4a

48.9 = 4a

a = 48.9/4 = 12.225

(b, -10.2)

3b - 4×-10.2 + 24 = 0

3b + 40.8 + 24 = 0

3b + 64.8 = 0

3b = -64.8

b = -64.8/3 = -21.6

Factoring a quadratic in two variables with a leading coefficient of 1 involves finding two binomial factors that, when multiplied, produce the quadratic expression. The factors can be determined by identifying the common factors of the quadratic terms and arranging them appropriately.

To factor a quadratic expression in two variables with a leading coefficient of 1, we need to look for common factors among the terms. The goal is to rewrite the quadratic expression as a product of two binomial factors. For example, if we have the quadratic expression x^2 + 5xy + 6y^2, we can factor it as (x + 2y)(x + 3y) by identifying the common factors and arranging them in the binomial factors.

The process of factoring a quadratic in two variables may involve trial and error, testing different combinations of factors to find the correct factorization. Additionally, factoring methods such as grouping or using the quadratic formula can also be applied depending on the specific quadratic expression.

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The derivative  of y with respect to x is -2.

To find \(\frac{dy}{dx}\), we first need to express y and x in terms of a common variable, which we choose to be t.

Given x = t^2, we can differentiate both sides with respect to t using the chain rule to obtain:

\(\frac{dx}{dt}\) = 2t

Solving for t, we get:

t = (1/2) \(\frac{dx}{dt}\)

Substituting this value of t into the equation y = 8 - 2t, we get:

y = 8 - 2((1/2) \(\frac{dx}{dt}\))

Simplifying, we get:

y = 8 -\(\frac{dx}{dt}\)

Differentiating both sides with respect to x using the chain rule, we get:

\(\frac{dy}{dx}\) = d/dx(8 - \(\frac{dx}{dt}\))

Using the chain rule again, we have:

\(\frac{dy}{dx}\) = -    \(\frac{d(dx/dx)/dt }\)

Since \(\frac{dx}{dt}\) = 2t, we can substitute this to obtain:

\(\frac{dy}{dx}\) = -\(\frac{d2t}{dt}\)

Taking the derivative of 2t with respect to t, we get:

\(\frac{dy}{dx}\) = -2

Therefore, the derivative of y with respect to x is -2.

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Answer:

18 pounds

Step-by-step explanation:

Here is the full question :

Cecile packages snack mix at a health food store.

She uses 1/3 of her supply of sunflower seeds to make a salted snack mix and 2/9 of her supply to make an unsalted snack mix. If Cecile uses 10 pounds of sunflower seeds, how many pounds of seeds are in her supply?

Let x = Cecile's supply

1/3 of x = 1/3x

2/9 of x = 2/9x

1/3x + 2/9x = 10

adding the fraction together gives 5/9

5/9 x = 10

solve for x = 18 pounds

Answer:

X intercepts: (21,0)

Y intercepts: (0, -15)

Step-by-step explanation:

To find the x-intercept, substitute 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

Step-by-step explanation:

what was the difficulty here ?

supplementary angles fill up to 180°.

complementary angles fill up to 90.

50° complement is 90-50 = 40°.

supplement is 180-50 = 130°.

bisected angle is 50/2 = 25°.

90-34=56° complement is 34°.

supplement is 180-56 = 124°.

bisected angle is 56/2 = 28°.

35×2=70° complement is 90-70 = 20°.

supplement is 180-70 = 110°.

bisected angle is 35°.

180-135=45° complement is 90-45 = 45°.

supplement is 135°.

bisected angle is 45/2 = 22.5° = 22°30'

Circumference = 2 x radius x Pi

Circumference = 2 x 15 x 3.14

Circumference = 30 x 3.14

Circumference = 94.2 feet

Answer:

\( \huge{ \boxed{ \sf{94.2 \: ft}}}\)

Step-by-step explanation:

\( \underline{ \sf{Given}} : \)

\( \star{ \sf{ \: Radius \: of \: a \: circle \: ( \: r \: ) \: = \: 15 \: ft}}\)

\( \star{ \sf{ \: pi \: (\pi) = 3.14}}\)

\( \boxed{ \sf{ \: Circumference \: of \: a \: circle \: = \: 2 \: \pi \: r}}\)

Plug the values and multiply them

\( \mapsto{ \sf{Circumference = \: 2 \:* \: 3.14 \: * \: 15}}\)

\( \mapsto{ \sf{Circumference \: = \: 94.2 \: ft}}\)

Hope I helped!

Best regards! :D

~\( \text{TheAnimeGirl}\)

Summing up all the amount in commission made from the three sales we have

= 5500+3250+3900

=$12,650

Given Data

= 5/100*$110,000

= 0.05*$110,000

= $5500

= 5/100*$65,000

= 0.05*$65,000

= $3250

= 5/100*$78,000

= 0.05*$78,000

= $3900

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Answer:

22.608 units

Step-by-step explanation:

Basically, the circumference of a circle is the distance around a circle, sort of like the perimeter of a figure. It has a unique formula which is \(C=2\pi r\) where \(r\) is the radius, which is the distance between the circle and its center. Using our given information, we can find the circumference:

\(C=2\pi r\\C=2(3.14)(3.6)\\C=22.608\)

Therefore, the circumference of a circle with a radius of 3.6 units is 22.608 units.

Answer:

Circumference is...

Step-by-step explanation:

Multiply the radius by 2 to get the diameter.

Multiply the result by π, or 3.14 for an estimation.

That's it; you found the circumference of the circle.

dont worry I already took this lesson.