Solve for x in the diagram below.

Complete question :

Polly’s Pasta and Pizza Supply sells wholesale goods to local restaurants. They keep track of revenue earned from selling kitchen supplies and food products. The function K models revenue from kitchen supplies and the function F models revenue from food product sales for one year in dollars, where t represents the number of the month (1 – 12) on the last day of the month.

K(t)=15t^3–312t^2+1600t+1100

F(t)=36t3–720t2+3800t–1600

In which month was her revenue from food products the greatest? The least?

Answer:

greatest revenue = 4384

Leat revenue = 400 ; October

Step-by-step explanation:

Using the model :

Claculating the revenue from. Food sales from January through December :

F(t)=36t^3–720t^2+3800t–1600

Put t = 1, 2, 3,.. 12 for January through December

t = 1

F(1)=36(1^3) - 720(1^2) + 3800(1) - 1600 = 1516

t = 2

F(2) = 36(2^3) - 720(2^2) + 3800(2) - 1600 = 3408

Inputting the t values up to 12 to cover for January thkorugh December :

We have the data:

t1 = 1516

t2 = 3408

t3 = 4292

t4 = 4384

t5 = 3900

t6 = 3056

t7 = 2068

t8 = 1152

t9 = 514

t10 = 400

t11 = 996

t12 = 2528

Hence, greatest revenue = 4384 (month of April)

Least revenue is at t10(October) ; Lowest revenue is at t 10 = 400

Answer:I believe the answer is 34

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

Hope this helps

Answer:

The ratio they are asking for is Model height to actual height. Rewritten that is:

Model Height: Actual Height

So the ratio after plugging in numbers is;

15:605

Ratios can be simplified by dividing both sides.

Both numbers are divisible by 5.

Therefore the ratio is;

3:121

(this is the simplest form of the ratio because 121

is not evenly divisible by 3)

Now, that is not an answer you can select,

however you can also multiply both sides by theKalius Call be simple by uviuiny po siues. Both numbers are divisible by 5.

Therefore the ratio is;

3:121

(this is the simplest form of the ratio because 121 is not evenly divisible by 3)

Now, that is not an answer you can select, however you can also multiply both sides by the same number. Take 4 for example (I'm choosing 4 because 3*4=12)

12:484

Answer:

B. 15

Step-by-step explanation:

We know that we need to make the equation fit for one week. So for Nic we make the equation: 150x+75y. X being the weeks and y being the packages sold. Asia's equation would be 1275x. Make x equal 1, for one week.

150+75y

1275

Then subtract the weekly cash from each other.

1275-150= 1125

Than divide by 75 to see how many packages.

1125/75= 15

15 packages are needed to be sold.

Answer:

eh its 12 because

Step-by-step explanation:

according to my calculations if there are 16 females therefore the ratio is 3 to 4 men to women 3x4=12 and 4x4=16 so the answer is 12

i might be wrong please let me know

To calculate the interest owed after 93 days, we use the formula for simple interest: Interest = Principal x Rate x Time. Substituting the given values, the interest amounts to $624.49.

This is the total interest that Melissa will owe to the bank after 93 days.Melissa took out a loan of $15,400 from a bank for home renovations. The bank charges a simple interest rate of 16% per year If Melissa doesn't make any payments towards the loan, the total amount owed after 93 days is obtained by adding the principal and the interest together.

Therefore, the total amount owed would be $16,024.49. This means that if Melissa does not make any payments during the 93-day period, her loan balance will increase to approximately $16,024.49, including both the original principal amount and the accrued interest.

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Step-by-step explanation:

the question is not understood plz clarify it

Answer:is 2 over 4|/x

Step-by-step explanation:

Answer: Option B

Step-by-step explanation:

Answer:

Step-by-step explanation:

1  is 28

2 is 24

3 is 7

4 is 9

Consequently, the response to the equation 2sin(θ)tan(θ) - 3 = cos(θ) for 0 ≤ θ < 360° is: θ ≈ 83.4° (to one decimal place)

The sine function in mathematics is the relation of the hypotenuse's length to the opposing side's length in a correct triangle. To determine a right triangle's undetermined angle or sides, use the sine formula.

(a) We start with the given equation:

2sin(θ)tan(θ) - 3 = cos(θ)

We know that tan(θ) = sin(θ)/cos(θ), so we can substitute that in to get:

2sin(θ)(sin(θ)/cos(θ)) - 3 = cos(θ)

Simplifying this expression by multiplying both sides by cos(θ), we get:

2sin²(θ) - 3cos(θ) = cos²(θ)

Using the identity sin²(θ) + cos²(θ) = 1, we can substitute sin²(θ) = 1 - cos²(θ) to obtain:

2(1 - cos²(θ)) - 3cos(θ) = cos²(θ)

Simplifying further, we get:

2 - 2cos²(θ) - 3cos(θ) = cos²(θ)

Rearranging terms, we get:

3cos²(θ) + 3cos(θ) - 2 = 0

Therefore, we have shown that the given equation can be written in the form 3cos²(θ) + 3cos(θ) - 2 = 0.

(b) We can solve the equation 3cos²(θ) + 3cos(θ) - 2 = 0 using the quadratic formula:

cos(θ) = [-3 ± √(3² - 4(3)(-2))] / (2(3))

cos(θ) = [-3 ± √(33)] / 6

Using a calculator, we find that cos(θ) ≈ 0.2146 or cos(θ) ≈ -1.5479.

Since 0 ≤ θ < 360°, we know that cos(θ) is positive in the first and fourth quadrants, so we take the positive value of cos(θ):

cos(θ) ≈ 0.2146

To find sin(θ), we can use the identity sin²(θ) + cos²(θ) = 1:

sin(θ) = √(1 - cos²(θ))

sin(θ) ≈ √(1 - 0.2146²) ≈ 0.9763

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Answer:4

Step-by-step explanation:just had this

Answer: -3 is the answer!

Step-by-step explanation:

Answer:

12√2.

Step-by-step explanation:

You can do this by the Pythagoras theorem:

20^2 = x^2 + (4sqrt7)^2    where  x is the distance required.

x^2 = 20^2 - (4sqrt7)^2

      = 400 - 112

      =  288

x  = √288

   =  √144 *√2

   =   12√2.

The value of length of CD is,

⇒ CD = 29.3

Since, The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

We have to given that;

In a circle,

EB = 15 cm

And, m ∠BE = 68°

Now, WE get;

Measure of angle ∠CED is,

⇒ 180° - 68°

⇒ 112°

So, the length of CD is,

CD = 2πrθ / 360°

CD = 2 × 3.14 × 15 × 112° / 360

CD = 29.3

Therefore, We get;

⇒ CD = 29.3

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The probability that a basketball player makes all four of his free throws when the probability of making one is 80% is 0.4096.

This is calculated using the binomial probability formula, which states that the probability of k successes in n trials is given by the following:

P(k successes in n trials) = \((n!/(k!(n-k)!))\timespk(1-p)(n-k)\)

In this case, the probability of making a single free throw is 80% (0.8),

so we can plug this into the formula.

We know that the player is taking 4 free throws, so k is 4 and n is also 4.

Plugging these values into the formula, we get:

P(4 successes in 4 trials) = \((4!/(4!(4-4)!))\times 0.84(1-0.8)(4-4) = 0.4096\)

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Answer:

I would say not here D.

Step-by-step explanation:

Because I found the area of the base first *the square* which is 4 x 11 = 44 and the rectangles are  4 x 14= 56 x 2 since there are 2 rectangles is 112. Then the triangles are 11x14=154/2=77 x 2 since there are 2 triangles is 154. Then we add up all those numbers 44+112+154= 310 not 308 *C*.

Hope I was able to help!

A value that is less than 2 1/5% from the given data is 0. 0215. Option A is the correct answer.

A fraction represents a part of a number or any number of equal parts. There is a fraction, containing numerator and denominator.

To find a value that is less than 2 1/5% we need to find the decimal number of a given fraction. to convert the given fraction into decimal form we need to divide the given fraction by 100.

= 2 1/5% / 100

= (2 + (1/5)) / 100

= 0.022

A value that is less than 0.022 from the given data is 0. 0215.

Therefore, a value less than 2 1/5% is 0. 0215.

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Three angles of the triangle:

\(3x \\ 5x \\ x\)

___________________________________________

3x + 5x + x = 180

9x = 180

x = 180/9

x = 20

this question is related to numbers and the solution is as follows,

Rover eats 3/4 can of cat food in a day.

given

in 60 days it will consume 60 x 3/4 cans = 45 cans of cat food

3 cans cost = $5 and a pack contains 3 cans

45 cans is equivalent to= 45/3

= 15 packs

15 packs cost = 15 x $5 = $75

So it will cost $ 75 to feed Rover for 60 days

Bobo eats 1/2 of a can of cat food per day

in 60 days it will consume 60 x 1/2 cans = 30 cans of cat food

3 cans cost $5 and a pack contains 3 cans

30 cans are equivalent to 30/3 = 10 packs

10 packs will cost = 10 x $5 = $50

So it will cost $50 to feed Bobo for 60 days

In total, in 60 days it will cost $75 +$ 50 = $125 to feed both cats in 60 days.

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As calculated from the data we get the result as that $ 125 is required for the cat food of both the cats in a month.

We are given that in 60 days he will consume  ,

60 x 3/4 cans

= 45 cans of cat food

The cost of 3 cans cost = $5

and one pack has 3 cans in it.

Therefore, 45 cans is equivalent to

= 45/3

= 15 packs

So , the cost of 15 cans will be ,

15 packs cost = 15 x $5 = $75

Therefore ,$75 is used for 60 days of cat food for Rover.

Now , we know that Bobo eats 1/2 of a can food in a day.

Therefore, in 60 days he will  eat,

60 x 1/2 cans

= 30 cans of food

As we know, 3 cans cost $5 and a pack contains 3 cans

Therefore, 30 cans = 30/3 = 10 packs

10 packs will cost = 10 x $5 = $50

So , $50 is spend to feed Bobo , in a month.

Therefore , if will combine their cost we will get that ,

$75 +$ 50 = $125 is required to feed both the cats in one month.

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Answer:

29°F

Step-by-step explanation:

20 - (-9)= 20 + 9

= 29°F

Answer: 4 exercises

Step-by-step explanation:

If we completed 87.5% of the math exercises before dinner, then we have completed 0.875 × total number of exercises.

Let "\(x\)" be the total number of exercises.

\(0.875x = 28\)

Solving for \(x\), we get:

\(\boxed{\begin{minipage}{4 cm}\text{\LARGE 0.875x = 28 } \\\\\\ \large $\Rightarrow$ $\frac{0.875x}{0.875}$ = $\frac{28}{0.875}$\\\\$\Rightarrow$x = 32\end{minipage}}\)

Therefore, the total number of exercises is 32.

We completed 28 exercises before dinner, so we have:  32 - 28 = 4 exercises left to do after dinner.

________________________________________________________

Answer: x^2 + 2x - 2 = 0

Step-by-step explanation:

subtract 2x from both sides to get -2 + 2x + x^2 = 0

arrange terms to get x^2 + 2x - 2 = 0

Answer:

A

Step-by-step explanation:

if x=19, 19x3 =57 and 57+123=180 and straight angle = 180 so A

Answer:

X=19

Step-by-step explanation:

123 and 3x are supplementary/they equal 180 added together.

Let's solve your equation step-by-step.

123+3x=180

Step 1: Simplify both sides of the equation.

3x+123=180

Step 2: Subtract 123 from both sides.

3x+123−123=180−123

3x=57

Step 3: Divide both sides by 3.

3x/3 = 57/3

x=19

Have a splendid day.

PS. I like your bakugo profile picture.

The yield to maturity of a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons, if the =bond is currently trading for a price of $884, is 6.23%. Thus, option a and option b is correct

Yield to maturity (YTM) is the anticipated overall return on a bond if it is held until maturity, considering all interest payments. To calculate YTM, you need to know the bond's price, coupon rate, face value, and the number of years until maturity.

The formula for calculating YTM is as follows:

YTM = (C + (F-P)/n) / ((F+P)/2) x 100

Where:

C = Interest payment

F = Face value

P = Market price

n = Number of coupon payments

Given that the bond has a coupon rate of 5.2%, a face value of $1000, a maturity of ten years, semi-annual coupon payments, and is currently trading at a price of $884, we can calculate the yield to maturity.

First, let's calculate the semi-annual coupon payment:

Semi-annual coupon rate = 5.2% / 2 = 2.6%

Face value = $1000

Market price = $884

Number of years remaining until maturity = 10 years

Number of semi-annual coupon payments = 2 x 10 = 20

Semi-annual coupon payment = Semi-annual coupon rate x Face value

Semi-annual coupon payment = 2.6% x $1000 = $26

Now, we can calculate the yield to maturity using the formula:

YTM = (C + (F-P)/n) / ((F+P)/2) x 100

YTM = (2 x $26 + ($1000-$884)/20) / (($1000+$884)/2) x 100

YTM = 6.23%

Therefore, If a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons is now selling at $884, the yield to maturity is 6.23%.

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