13 times what equals 13,000

The sine is defined as the length of the opposite side divided by the length of the hypotenuse, both of which are positive. Since dividing a positive number by a positive number results in a positive number, the sine must be positive.

Also, since the hypotenuse is the longest side of the triangle, the sine is equal to some positive number less than the length of the hypotenuse being divided by the length of the hypotenuse, resulting in a number less than 1.

Answer:

Proved

Step-by-step explanation:

Given

The attached table

Required

Prove that Lydia is incorrect

Firat, calculate the slope (m)

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

Where:

\((x_1,y_1) = (5,19)\)

\((x_2,y_2) = (4,15)\)

So, we have:

\(m = \frac{15 - 19}{4 - 5}\)

\(m = \frac{-4}{-1}\)

\(m=4\)

The equation is then calculated using:

\(y - y_1 = m(x-x_1)\)

Where:

\((x_1,y_1) = (5,19)\) and \(m=4\)

This gives:

\(y - 19 = 4(x-5)\)

\(y - 19 = 4x-20\)

Make y the subject

\(y = 4x-20+19\)

\(y = 4x-1\)

The above shows the equation. Hence, the Lydia is correct

Combinations are a method of calculating the total outcomes of an event where the order of the outcomes is irrelevant. We will use the formula nCr = n! / r! * (n - r)! to calculate combinations.

They can select one  republican from the four  republican by 4 ways, and than select the remaining 4 members

from the 7 republicans by  \(C^{4} _{7}\)= 7 x5 = 35 ways.

In all,  4 × 35= 140 selections are possible.

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The direct labor cost included in the Preble Company's flexible budget for March is $819,000.

To find the direct labor cost included in the company's flexible budget for March, we shall estimate the actual direct labor cost incurred during the period.

Given:

Actual production and sales =n26,600 units

Actual direct labor rate = $13.00 per hour

Actual direct labor hours worked = 63,000 hours

Direct labor cost = Actual direct labor rate × Actual direct labor hours worked

Direct labor cost = $13.00/hour × 63,000 hours

Direct labor cost = $819,000

Hence, the direct labor cost included in the company's flexible budget for March would be $819,000.

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Answer:

x=5 and y=2

Step-by-step explanation:

I hope this helps

Answer:

Step-by-step explanation:

do you happen to know the formula for finding the area of a cone?

V=π*\(r^{2}\)*h/3

does that formula look familiar?

we know the radius ,  r,  is 18 and the height, h is 6  :)  can you figure this out now?   just plug those into the formula above  :)

1 cm = 10 mm. Length of book : 28 cm. Length of book = 280 mm. This shows that measurements in mm are the same but look to have a higher number .

The conversion factor provided states that 1 cm is equal to 10 mm, which means that 1 cm is made up of 10 individual millimeters.

The length of my book in when measured in millimeters is 280 mm.

In centimeters, this is therefore:

= 280 mm / 10 cm /mm

= 28 cm

Although the numerical value appears higher when expressed in millimeters, it is important to note that the actual length of the book remains the same.

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Answer:

it's b

Step-by-step explanation:

just took the test

The amount natalya will spend constructing the patio with concrete and brick is $4320, the correct option is D.

We are given that;

The concrete portion of the patio cost=$3 per square

To construct and the brick portion of the patio cost= $6 per square

Now,

The area of a rectangle is given by length times width. The concrete portion of the patio is a rectangle with length 6 cm and width 3 cm. Using the scale, we can convert these to feet:

6 cm = 6 x 4 ft = 24 ft 3 cm = 3 x 4 ft = 12 ft

Therefore, the area of the concrete portion is:

24 ft x 12 ft = 288 ft^2

The brick portion of the patio consists of two identical rectangles with lenth 3 cm and width 6 cm. Using the scale, we can convert these to feet:

3 cm = 3 x 4 ft = 12 ft 6 cm = 6 x 4 ft = 24 ft

Therefore, the area of one brick rectangle is:

12 ft x 24 ft = 288 ft^2

Since there are two brick rectangles, the total area of the brick portion is:

2 x 288 ft^2 = 576 ft^2

Now we can multiply the areas by their costs per square foot to get the costs of each portion:

Concrete cost = $3 x 288 ft^2 = $864 Brick cost = $6 x 576 ft^2 = $3456

The total cost of constructing the patio is the sum of the costs of each portion:

Total cost = $864 + $3456 = $4320

Therefore, by area the answer will be $4320.

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Answer:

They would produce 14,400 packages of zetsy and the regular profit making would be $11,340.

Step-by-step explanation:

12-ounce

regular = 65%

mild = 35%

extra sharp zesty blend = 75%

extra sharp mild = 25%

8,100 mild for = $1.30

3,500 extra sharp = $1.50

cost blend and package = $0.30

regular sold = $1.8

zesty = $2.10

first we calculate the cost of each product

conversion Of  ounces to pounds:

1 pound = 16 ounces

regular cost:

12/16 pounds x 65% mild x $1.30

= 0.63375

12/16 pounds x 35% sharp x $1.50

= 0.39375‬

+ blend and package $0.30

total = $1.3275‬

contribution: $1.8 – $1.3275

= $0,4725‬

zesty cost:

12/16 pounds x 75% mild x $1.30

= 0.73125‬

12/16 pounds x 25% sharp x $1.50

= 0.28125‬

+ blend and package 0.30

total $1,3125‬

contribution: $2.10 – $1.3125

= $0,7875‬

to maximize profit:

profit = $0.4725Regular + $0.7875zetzy

adding the  constraint:

mild = Regular x $0.4775 + Zetzy x $0.5625 = 8,100

and

sharp = Regular x $0.2625 + Zetzy x $0.1875 = 3,100

contribution generated by each product/pound:

                                 Regular        Zesty

CM                          $ 0.47250 $ 0.47250

Constrain resource

( pounds of mild)         0.48750 0.56250

CM per constrain        $ 0.9692 $ 1.4000

Constrain resource

( pounds of sharp)         0.26250 0.18750

CM per constrain           $ 1.80      $ 4.20

As zesty is better we produce as much as we can:

8,100 pounts / 0.5625 per cheese spreads: 14,400

check for possibilities of other constraint:

14,400 zesty packages x 0.1875 pounds each = 2,700 pounds

because it’s possible we only produce zetsy

profit = $0.4725 (0) + $0.7875 (14,400)

profit =  $ 11,340

Answer:

$27.50 per month

Explanation:

The annual fees paid by Mr. Robledo are listed below:

• $50 on 3 of the cards

• $45 on 4 of the cards

First, determine the total annual fee:

Next, divide by 12 to calculate the monthly budget.

Mr. Robledo should budget $27.50 per month.

Answer:

A. 2 pounds of carrots per $1

Step-by-step explanation:

\(\frac{5 pounds }{2.5 dollars}=\frac{2pounds }{1 dollars}\)

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

$57.52 I believe that is the correct answer.

The expression for the sequence of operations is  3s - u - t .

In the question ,

it is given that ,

the sequence of operation is given as " triple s, subtract u from the result, then subtract t from what you have" .

we have to write an expression for the above operation ,

So ,

first step is : triple s ,

that means the expression is  3s .

next subtract u from the result , that means ⇒ 3s - u .

next we have to subtract t from what we have ,

that means ⇒ 3s - u - t .

Therefore , the final expression is 3s - u - t .

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Answer:

uhhhhhhh you have to figure out what x is then choose wether it is the other variable a dependent variable, and explanatory variable, or a response variable

Step-by-step explanation:

easy as that

Answer:2,440,000,000

Step-by-step explanation:

Answer:

7/10 or 70%

Step-by-step explanation:

Add the number of each color of balls together to get the total

5 + 2 + 3 = 10

Add the number of all the balls that aren't black

5 + 2 = 7

Then divide how many balls that aren't black by the total. This gives us the probability the ball you choose is not black

7/10 = 0.7 or 70%

Answer:

thx for free points

Step-by-step explanation:

The value of m ∠ABC=86° ,because of the cyclic quadrilaterals.

Hence, Option (B) is correct.

Since, We know that,

A cyclic quadrilateral is a four-sided polygon whose vertices all lie on a common circle.

The opposite angles of a cyclic quadrilateral have a total of 180°.

Hence, We can formulate;

m ∠ABC +  m ∠ADC  = 180°

m ∠ABC + 94° = 180°

m ∠ABC = 180° - 94°

m ∠ABC = 86°

Similarly, one can find m∠DCB

m∠DAB +  m∠DCB  = 180°

99° + m∠DCB = 180°

m∠DCB = 180° - 99°

m∠DCB = 81°

Hence, m∠ABC = 86°

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Answer:

x = 4

Step-by-step explanation:

if a line is parallel to a side of a triangle and it intersects the other two sides then id divides those sides proportionally.

DE is such a line , then

\(\frac{BD}{AD}\) = \(\frac{BE}{EC}\)  ( substitute values )

\(\frac{x+2}{x}\) = \(\frac{3}{2}\) ( cross- multiply )

3x = 2(x + 2)

3x = 2x + 4 ( subtract 2x from both sides )

x = 4

Answer:

C

Step-by-step explanation:

the scale factor is the ratio of corresponding sides, image to original, so

scale factor = \(\frac{EF}{BC}\) = \(\frac{11}{66}\) = \(\frac{1}{6}\)

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.

Step-by-step explanation:

6x(x+3)+7x(2x+1)=5x(4x+5)

Let x be the number of pounds of the $2.00 candy and let y be the number of pounds of the $2.85 candy.

We know that in total the grocer wants 21 pounds, this can be express by the equation:

We also know that the grocer wants the mix to cost $2.05 per pound. This condition can be express as:

Hence we have the system of equations:

To solve ithe system we solve the first equation for y:

and we plug this value in the second equation:

Now we plug the value of x in the expression for y we found earlier:

Therefore, the grocer needs 19.76 pounds of the $2.00 candy and 1.24 pounds of the $2.05 candy

The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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a) To re-express the given differential equation as a first-order differential equation using matrix and vector notation, we can rewrite it in the form:

\(x' = Ax\)

where x is a vector and A is a square matrix.

b) To determine the stability of the system obtained in part (a), we need to analyze the eigenvalues of matrix A.

If all eigenvalues have negative real parts, the system is stable.

If at least one eigenvalue has a zero real part, the system is neutrally stable.

If at least one eigenvalue has a positive real part, the system is unstable.

c) To compute the eigenvalues and eigenvectors of matrix A, we solve the characteristic equation

\(det(A - \lambda I) = 0\),

where λ is the eigenvalue and I is the identity matrix.

By solving this equation, we obtain the eigenvalues.

Substituting each eigenvalue into the equation

\((A - \lambda I)v = 0\),

where v is the eigenvector, we can solve for the eigenvectors.

d) Once we have computed the eigenvalues and eigenvectors of matrix A, we can construct the diagonalization relationship as follows:

\(A = PDP^{(-1)}\)

where P is a matrix whose columns are the eigenvectors of A, and D is a diagonal matrix whose diagonal elements are the eigenvalues of A.

To show that this relationship is valid, we can compute \(PDP^{(-1)}\) and verify that it equals A.

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Answer:

A)

Function A: Exponential

Function B: Linear

Function C: Exponential

Function D: Exponential

B) Function A

Step-by-step explanation:

Function A: This is exponential because- (1, 3)(2,9)(3,27)

It is not going up by the same number each time. However, it is multiplying by 3 each time which means it is exponential.

Function B: This is linear because- (1, 64)(1, 80)(1, 96)

It is going up by 16 each time, (a constant number) which means it is linear.

Function C: This is exponential because- there is a curve, linear is always a straight line. But, this has a curve which means it is exponential.

Function D: This is exponential because- It is increasing by a percentage and not a constant number. It is increasing by 1% which means it is exponential.

The function that has the greatest growth factor is Function A because, Function A multiplies by 3 each time. Function B is linear, exponential functions always pass linear functions despite how "steep" they are. Eventually, the exponential function will surpass it. Function C is also exponential but is not as "steep" as Function A. Function A multiplies by 3 each time but Function C increases less. Function D is also exponential, and for the same reasons as Function C, Function A has the greatest growth factor.