Which interval best represents the number of meals Franco's Hotdogs can sell and make a profit?Select the correct answer.

The distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.

The bearing is defined as the angle measured clockwise from the north direction. A ship is anchored off a long straight shoreline that runs north and south.

From two observation points miles apart on shore, the bearings of the ship are 52 degrees and 134 degrees respectively. To find the distance from the ship to each of the observation points, we can use trigonometry.

Let's call the distance from the north observation point to the ship x, and the distance from the south observation point to the ship y. The bearings from the north and south observation points can be drawn as follows:

[asy]

unitsize(1cm);

pair O = (0,0), N = (-2,0), S = (2,0), A = (-2,1), B = (2,-1);

draw(O--N--A,Arrow);

draw(O--S--B,Arrow);

\(label("$52^\circ$", N + 0.3*dir(52), NE);\)

\(label("$134^\circ$", S + 0.3*dir(134), SE);\)

draw(O--A--B--cycle,dashed);

\(label("$x$", (N+A)/2, W);\)

\(label("$y$", (S+B)/2, E);\)

[/asy]

We can use the tangent function to find x and y, since we have the angle and opposite side.

From the north observation point, we have:

\($$\tan(52^\circ) = \frac{x}{2}$$$$x = 2\tan(52^\circ) \approx 2.95$$\)

From the south observation point, we have:

\($$\tan(134^\circ) = \frac{y}{2}$$$$y = 2\tan(134^\circ) \approx 9.88$$\)

Therefore, the distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.

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Answer:

28

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

The formula for area of any triangle is (length * width) * 1/2. This makes the angle of 90 degrees irrelevant.

6 x 8 = 48

48 / 2 = 24

a. To calculate the present value of investment A at a discount rate of 21 percent, we need to find the present value of each cash flow and then sum them up. The present value of each cash flow can be calculated using the formula PV = CF / (1 + r)^n, where PV is the present value, CF is the cash flow, r is the discount rate, and n is the number of years.

Using the given cash flows and the discount rate of 21 percent, we have:

PV = 11,000 / (1 + 0.21)^1 + 11,000 / (1 + 0.21)^2 + 11,000 / (1 + 0.21)^3 + 11,000 / (1 + 0.21)^4 + 11,000 / (1 + 0.21)^5 + 11,000 / (1 + 0.21)^6

Calculating this expression will give us the present value of investment A.

b. Similarly, to calculate the present value of investment B, we use the same formula and substitute the cash flows for investment B:

PV = 11,000 / (1 + 0.21)^1 + 11,000 / (1 + 0.21)^2 + 11,000 / (1 + 0.21)^3 + 11,000 / (1 + 0.21)^4

c. For investment C, we use the formula with the cash flows for investment C:

PV = 16,000 / (1 + 0.21)^1 + 48,000 / (1 + 0.21)^2

Calculating these expressions will give us the present values of investments B and C, respectively.

The present values of investments A, B, and C are $37,461.97, $29,930.99, and $48,003.16 respectively.

To calculate the present value of the cash flows from every investment, we use the present value of annuity formula: PV = C * [(1 - (1 + r)^-n ) / r], where PV is the present value, C is the constant cash flow per period, r is the discount rate, and n is the number of periods.

(a) Investment A: C = $11,000, r = 21% or 0.21, n = 6 years. PV = $11,000 * [(1 - (1 + 0.21)^-6) / 0.21] = $37,461.97.

(b) Investment B: C = $11,000, r = 21% or 0.21, n = 4 years. PV = $11,000 * [(1 - (1 + 0.21)^-4) / 0.21] = $29,930.99.

(c) Investment C has 2 cash flows: $16,000 at end of year 1 and $48,000 at end of year 3. We calculate their present value separately and sum those up. PV = $16,000 / (1 + 0.21)^1 + $48,000 / (1 + 0.21)^3 = $13,223.14 + $34,780.02 = $48,003.16.

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Answer:

the third one is the correct answer

Answer:

124 students

Step-by-step explanation:

Girls participating in the exercise

4/15 x 285 = 76

Boys participating in the exercise

3/20 x 320 = 48

Total students participating

76 + 48 = 124

Answer:

Cadence is flipping her coin 32 times

Step-by-step explanation:

So the fraction is 1/32 which means 32 is the number of times the coin was flipped.

Answer:

~

Step-by-step explanation:

To make it easier to graph using a translation, we can rewrite the given equation as:

y - 5 = √√4x + 16

This is obtained by subtracting 5 from both sides of the equation.

The graph of the original equation y = √√4x+16 +5 can be obtained by taking the graph of y = √√4x + 16 and shifting it upwards by 5 units. The graph of y = √√4x + 16 is a square root function that has a vertical stretch of 2, a horizontal compression of 4, and a vertical translation of 16 units upwards. So the graph of the given equation y = √√4x+16 +5 will be the same as the graph of y = √√4x + 16, but shifted upwards by 5 units.

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer:

side AB

Step-by-step explanation:

Answer:

The company's return on total assets for the current year is 7.4%

Step-by-step explanation:

Here are the step-by-step calculations for determining the return on total assets (ROTA) based on the income statement and balance sheet information provided:

Calculate the average total assets for the year by adding the beginning total assets and ending total assets and dividing by 2:

Average Total Assets = ($5,000,000 + $5,460,000) / 2

= $5,230,000

Use the ROTA formula to calculate the return on total assets:

ROTA = Net Income / Average Total Assets

= $386,760 / $5,230,000

= 0.0739

Round the ROTA to one decimal place:

ROTA = 7.4%

Therefore, the company's return on total assets for the current year is 7.4%.

Answer:

312 , 919 , 281 , 0.  500 , 527

Step-by-step explanation:

Answer:

64°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

let the third angle be x , then

x + 90° + 26° = 180°

x + 116° = 180° ( subtract 116° from both sides )

x = 64°

the other angle is 64°

Answer

2

Step-by-step explanation:

Answer: b = 11.62

Step-by-step explanation:

We can use this formula to solve for b:

\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)

\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)

\(b^2= \sqrt{144-9}\)

= 11.61895004

We can round that to 11.62.

Hope this helped!

If the third term is 31, then let's get the second term. We have to use the rule we were given and work backwards. So, we will add three and then divide by 2.

31 + 3 = 34

34 / 2 = 17

17 is the second term. Let's do the same thing we just did to find the first term: add three, divide by 2.

17 + 3 = 20

20 / 2 = 10

Answer: the first term is 10

Hope this helps!

Undergraduate Majors for Law Students (150)

We need to determine which undergraduate majors are less common among the 150 law students than history.

As we can see in the graph, History has 10 students. The only two majors that have less than 10 students are Communications and Classics

Answer:

The answer is "\(\frac{5\pi}{6}\)"

Step-by-step explanation:

Please find the graph file.

\(h= y=2x-x^2\\\\r= x\\\\Area=2\pi\times r\times h\\\\= 2 \pi \times x \times (2x-x^2)\\\\= 2 \pi \times 2x^2-x^3\\\\volume \ V(x)=\int \ A(x)\ dx\\\\= \int^{x=1}_{x=0} 2\pi (2x^2-x^3)\ dx\\\\= 2\pi [(\frac{2x^3}{3}-\frac{x^4}{4})]^{1}_{0} \\\\= 2\pi [(\frac{2}{3}-\frac{1}{4})-(0-0)] \\\\= 2\pi \times \frac{5}{12}\\\\=\frac{5\pi}{6}\\\\\)

Answer:

\(h(x)=-5x^2+10x-2\)

Step-by-step explanation:

\(h(x) = -5 (x - 1)^2 + 3\\\\\implies h(x) = -5 (x - 1)^2 + 3\\\\\implies h(x)=-5(x^2-2x+1)+3\\\\\implies h(x) = -5x^2+10x-5+3\\\\\implies h(x)=-5x^2+10x-2\)

To determine the equation of a line given that you know its slope and a point you can use the point-slope form:

Where

m represents the slope of the line

(x₁,y₁) represents the coordinates of the point crossed by the line

We know that the slope of the line is m=-4 and the coordinates of the point are x₁=8 and y₁=-10, replace these values in the point-slope form:

To write the equation in slope-intercept form, first, distribute the multiplication on the parentheses term:

Next, pass 10 to the right side of the equation by applying the opposite operation "-10" to both sides of it:

The equation of the line is y=-4x+22

Answer: -2(4xy+z^4)

Step-by-step explanation:  Remove -2 from both coefficients (-8, and -2)

 -2(4xy+z^4)

The right answer is of option C

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

\( = 2 {x}^{3} - 11 {x}^{2} + 16x - 3 \\ \)

Step-by-step explanation:

\((x - 3)(2 {x}^{2} - 5x + 1) \\ x(2 {x}^{2} - 5x + 1) - 3(2 {x}^{2} - 5x + 1) \\ 2 {x}^{3} - 5 {x}^{2} + x - 6 {x}^{2} + 15x - 3 \\ = 2 {x}^{3} - 11 {x}^{2} + 16x - 3\)

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

The sum of two numbers is 14 and their difference is 10

Step-by-step explanation:

"2 numbers (x and y)

x+y = 14

and x-y + 10

If you each equation by positive 2, one gets 2x+2y = 28 and 2x-2y = 20

The 'y-terms' cancel out or equal zero when adding, so 4x = 48, divide by 4 on each side and x or the first number equals 12.

Plug 12 back into the equation for 'x' and subtract 12 on both sides so that y=2

The difference of 12-2=10 and the addition of 12 and 2 equals 14"

hopes this helps

Answer:

278528

Step-by-step explanation:

1st we need to get the 1st 2 values of exponets

4 to the power of 9 is 4x4 9 times and that's 262144,

4 to the power of 7 is 4x4 7 times and that's 16384

16,384 + 262,144 is 278528

Answer: 278,528

Step-by-step explanation:

4⁹+ 4⁷ =

(4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4) + (4 x 4  x 4 x 4 x 4 x 4 x 4)

262,144 + 16,384= 278,528

The graph of the function f(x) = (x - 3)(x + 1) is positive and decreasing for x values between -1 and 3, inclusive.

To determine where the graph is positive, we look for the intervals where f(x) > 0. Since f(x) is a quadratic function that opens upward (positive leading coefficient), the graph will be positive in the intervals where the function is greater than zero.

To find where the graph is decreasing, we look for intervals where the function is decreasing or has a negative slope. In this case, since f(x) is a quadratic function, it is decreasing on the interval (-∞, -1) and (3, ∞).

Combining both conditions, we find that the graph of f(x) = (x - 3)(x + 1) is positive and decreasing for x values between -1 and 3, inclusive. This means that the graph is above the x-axis and getting smaller as x increases from -1 to 3.

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Answer:

one soulution

Step-by-step explanation:

you have 5x 2x and 3x subtract 5 by 3 get 2 divide u get 1 I am not certain but it's an attempt

Answer:

D  y= x+1

Step-by-step explanation:

The line has a positive slope since it goes up from left to right

We can eliminate A and B

3 is a fairly steep slope for line C

Lets check with point x=7

y = 3*7 +2 = 21+2 = 23

Way too steep

Lets check 2

y = 3*2+2 = 6+2 = 8

Still above the points

Checking D

y = x+1

x=7

y = 7+1 =8  A little high

x=2

y = 2+1 =3  A little low    but much better than C

Answer:

\(\huge \boxed{y=x+1}\)

Step-by-step explanation:

Using a graph,

we can see the line y=x+1 is best fit for the data.

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.