The profit a company earns is the revenue the company makes minus the expenses. The
revenue the company makes in a month is represented by the equation R(x) = 5,000 - 2x²,
while the expenses of the company for the month are represented by the equation
E(x) = 15x + 1,000.

The perimeter of a shape is the sum of its side lengths

Becca, Lucas, and Christian are correct

The side lengths of the triangle are x, 3x - 4 and 3x - 4

So, the perimeter (P) is:

P = x + 3x - 4 + 3x - 4

The above equation can be rewritten as:

P =2(3x - 4) + x

P = 6x + x - 4

P = (3x - 4) + (3x - 4) + x

P = 7x - 4

Hence, Becca, Lucas, and Christian are correct

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Answer:

c

Step-by-step explanation:

Answer:

378 people ordered fries

Step-by-step explanation:

60% of 630 is

60/100 × 630

= 3/5 × 630

= 3 × 126

= 378

The lengths equal to 3 yards 16 inches are 3 yards, 108 inches, 3.44 yards (approximately), and 108.44 inches (approximately).

To determine the lengths that are equal to 3 yards 16 inches, we need to convert the measurements into a consistent unit. Since both yards and inches are units of length, we can convert the inches into yards or the yards into inches to find the equivalent lengths.

1 yard is equal to 36 inches (since 1 yard = 3 feet and 1 foot = 12 inches).

Therefore, 3 yards is equal to 3 * 36 = 108 inches.

Now, we can compare 108 inches to 3 yards 16 inches.

108 inches is equal to 3 yards, so it matches the given length.

To convert 16 inches into yards, we divide it by 36 since 1 yard = 36 inches. 16 inches / 36 = 0.44 yards.

Therefore, 3 yards 16 inches is equivalent to:

3 yards

108 inches

3 yards 0.44 yards (or approximately 3.44 yards)

108 inches 0.44 yards (or approximately 108.44 inches)

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Therefore , the solution of the given problem of angles comes out to be

∠I < ∠J <∠K is the increasing order of angle.

A skew greatest and smallest walls are located where the roads leading to its ends meet. A crossroads could be where two paths converge. Angle is another outcome of two things interacting. They mimic dihedral shapes more than anything. A two-dimensional curve can be created by arranging two line beams in various ways between their endpoints.

Here,

Using the provided image, we can calculate the angle measures of the IJK in the following order, from smallest to largest:

∠I: This angle seems to be the smallest one in the IJK system.

∠J: This angle seems to be the following bigger angle in IJK.

∠K: This angle seems to be the biggest one in IJK, according to K.

Therefore , the solution of the given problem of angles comes out to be
∠I < ∠J <∠K is the increasing order of angle.

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Answer:

<WXV and <YXZ, <W and <Y

Step-by-step explanation:

ASA stands for Angle Side Angle. You need two corresponding congruent sides and two pairs of congruent corresponding angles that border it.

Looking at XY, we can see the two angles that border it are <YXZ and <Y.

<WXV and <W are the angles that correspond with those two angles.

Approximately 76.5% of the student body at Walton High School loves math.

To determine the percentage of the student body that loves math, we need to consider the proportions of males and females in the Walton High School student body and their respective percentages of loving math.

Given that 45% of the student body are males, we can deduce that 55% are females (since the total percentage must add up to 100%). Now let's calculate the percentage of the student body that loves math:

For the females:

55% of the student body are females.

90% of the females love math.

So, the percentage of females who love math is 55% * 90% = 49.5% of the student body.

For the males:

45% of the student body are males.

60% of the males love math.

So, the percentage of males who love math is 45% * 60% = 27% of the student body.

To find the total percentage of the student body that loves math, we add the percentages of females who love math and males who love math:

49.5% + 27% = 76.5%

As a result, 76.5% of Walton High School's student body enjoys maths.

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Answer:

m=−4/15

Step-by-step explanation:

if my answer right or wrong plz tell me and like and rate plz. THANK YOU

We have proved that the Newton-Raphson iteration formula for solving the equation\(x^k e^x = 0\) is given by \(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n.\)

To prove that the Newton-Raphson method for solving the equation \(x^k e^x = 0\), where k is a constant, is given by the formula

\(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n,\)

we can start by considering the iterative process of the Newton-Raphson method.

Given an initial guess \(x_n\), we want to find a better approximation \(x_{n+1}\)that is closer to the root of the equation \(x^k e^x = 0.\)

The Newton-Raphson method involves the following steps:

Calculate the function value \(f(x_n) = x_n^k e^x_n\) and its derivative \(f'(x_n) = k x_n^(k-1) e^x_n.\)

Find the next approximation x_{n+1} by using the formula:

\(x_{n+1} = x_n - f(x_n) / f'(x_n)\)

Let's apply these steps to our equation \(x^k e^x = 0\):

Calculate the function value and its derivative:

\(f(x_n) = x_n^k e^x_n\\f'(x_n) = k x_n^(k-1) e^x_n\)

Find the next approximation x_{n+1} using the formula:

\(x_{n+1} = x_n - f(x_n) / f'(x_n)\)

Substituting the function value and its derivative:

\(x_{n+1} = x_n - (x_n^k e^x_n) / (k x_n^(k-1) e^x_n)\\= x_n - (x_n^k / k)\)

Simplifying the expression by combining like terms:

\(x_{n+1} = x_n - (x_n^k / k)\\= x_n - x_n^k / k\\= (k - 1) x_n + x_n^2 / k + x_n\)

Therefore, we have proved that the Newton-Raphson iteration formula for solving the equation\(x^k e^x = 0\) is given by \(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n.\)

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Answer:

\(\frac{\sqrt{6} }{4}\), 1.538..., \(\frac{19}{7}\), \(\sqrt{29}\)

Step-by-step explanation:

Solve them each on the calculator and then put in order

\(\frac{\sqrt{6} }{4}\) = 0.6123...

19/7 = 2.714

\(\sqrt{29}\) = 5.385...

Answer:

There are 1, 036 rooms in the hotel.

148×7 = 1, 036

There are 4, 144 people in the hotel.

1, 036×4 = 4, 144

Answer:

All sides are the same length (congruent) and all interior angles are the same size (congruent). if Sqr refers to square

Answer: y = -2x

Step-by-step explanation:

For a line to be perpendicular to another, it must have the opposite reciprocal slope.  In this case, that means 1/2 becomes -2/1 or -2.  For the line to pass through 0,0 the y intercept must be 0.  Thus the line is y = -2x + 0, or y = -2x

If the spread of data set X is greater than the spread of data set Y, and the data sets are normally distributed. The statement that  is true is: C. The standard deviation of data set X is greater than the standard deviation of data set Y.

A data set standard deviation is often used to calculate its spread. As a result the standard deviation of data set X will be higher than the standard deviation of data set Y if the spread of data set X is bigger than the spread of data set Y.

The standard deviation may or may not have the same distribution as the the following :

Therefore the correct option is C.

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Answer:

square root of 338 or 18.38

Step-by-step explanation:

since a² and b² are equal, you would do 13² plus 13² then add those and you end up with 338. then you find the square root of 338 which is 18.38477631, or 18.38

Answer:

Banana = 6, the rest is in the picture

Step-by-step explanation:

The number of lemons is 7, and the number of grapes is 2 after using the concept of the linear equation.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The equations are in the form of fruits.

We can use trial and error method to find the number of fruits for each one.

As we know, the number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

From the first equation:

We can use numbers 7, and 0

The sum of the 7 and 0 is 7

So number of lemons = 0 + 7 = 7

Number of cherries = 0

Number of  grapes = 2

Number of strawberries = 4

Number of oranges = 8

Number of blue fruit = 1

Number of bananas = 6

Number of oranges = 8

Number of Apples = 9

Thus, the number of lemons is 7, and the number of grapes is 2 after using the concept of the linear equation.

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The answer is A. 245 words  can he type in 7 minutes.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Milo types 35 words per minute.

words can he type in 7 minutes is 35*7

                                                      =245

because I have to multiple the amount of words he can type in one minute by 7.

hence, The answer is A. 245 words  can he type in 7 minutes.

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The ratio of the amount of money Alice has to the amount Bob has is approximately 3.36 : 1.

According to the problem, two equations can be set up:

If Alice receives n dollars from Bob, then she will have 7 times as much money as Bob. This gives us the equation:

A + n = 7(B - n)

If Alice gives n dollars to Bob, then she will have 2 times as much money as Bob. This gives us the second equation:

A - n = 2(B + n)

We can rearrange these equations to make them easier to solve:

8n = 7B - A

3n = A - 2B

Setting these equal to each other, since they are both equal to 24n, gives:

21B - 3A = 8A - 16B

37B = 11A

A / B = 37 / 11

= 3. 36

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Answer:

2962

Step-by-step explanation:

 2 8 8 8

+       7 4

----------------

  2 9 6 2

2962

2888 +

    74

---------

2962

8 + 4 = 12

8 + 1 + 7 = 16

8 + 1 = 9

Answer:

14m

Explanation:

10 ÷ 5 = 2

2 × 7 = 14

Answer:

800

Step-by-step explanation:

Answer:

Step-by-step explanation:

1)

O = center of circle (origin)

we know that the angle at the center of the circle ∠ ROS will be

180= 2(31) + ∠x

180-62 = ∠x

118° = ∠x

The supplemental angle to the 118° will be 62°

62° is the interior angle to  arc QR , so

arc QR is also 62°

3)

b/c the intercepted arc YZ = 2* 68=136

then 136+125+? = 360

? = 99°

arc ZX = 99°

5)

O= center point

we are given the two arcs  120 and 70 for both of these we know that the

interior angles will be the same.  ∠JOX  has a central angle of 120 , then

b/c triangle JOX is an isosceles,  we know that the two angles J and X of

the triangle JOX will be 1/2 of  60 , or 30 each

also for    

also ∠XOY has an interior angle of 70 so the two angle at X and Y will be 1/2 of 110 , or 55°

now add 55+30 to find X for box XYZJ

85° = ∠X  

9514 1404 393

Answer:

  1) 62°

  3) 99°

  5) 85°

Step-by-step explanation:

The relevant relationships are ...

__

1) Arc QR has twice the measure of inscribed angle QSR, so is ...

  QR = 2×31° = 62°

__

3) Arc YZ is twice the measure of angle X, so is 2×68° = 136°. The sum of arcs around a circle is 360°, so ...

  arc XZ = 360° -125° -136° = 99°

__

5) The sum of arcs around a circle is 360°, so ...

  arc JZY = 360° -120° -70° = 170°

Angle X is half the measure of arc JZY, so is ...

  angle X = 170°/2 = 85°

The expanded and simplified form of the expression (x + 5)(x - 1) is  x² - x + 5x - 5.

Given the expression in the question;

(x + 5)(x - 1)

To expand and simplify the expression (x+5)(x-1),

we use the distributive property:

(x + 5)(x - 1)

x(x - 1) + 5(x - 1)

Now we can simplify each term by using the distributive property again:

x(x - 1) = x² - x

5(x - 1) = 5x - 5

Putting these terms back together, we have:

(x+5)(x-1) = x² - x + 5x - 5

Combining like terms, we get:

(x+5)(x-1) = x² + 4x - 5

Therefore, (x+5)(x-1) simplifies to the quadratic expression x² + 4x - 5.

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Answer:

6 sqrt(5)

Step-by-step explanation:

(3√2) ( √10)

We know that sqrt(a) * sqrt(b) = sqrt(ab)

3 sqrt(2*10)

3 sqrt(20)

3 sqrt(4*5)

We know that sqrt(a) * sqrt(b) = sqrt(ab)

3 sqrt(4) sqrt(5)

3 * 2 * sqrt(5)

6 sqrt(5)

The value of the matrix B is \(\left[\begin{array}{cc}-12&5&1&-2\end{array}\right]\)

From the question, we have the following parameters that can be used in our computation:

Matrices A, B and C

Given that

A + B = C, we have

8 + 3x = x

-3 + z + 4 = 2z

3 + w = 4

y + 2 + 1/2y = y

When evaluated for the variables, we have

x = -4

z = 1

w = 1

y = -4

So, the matrix B is

3(-4)   1 + 4

1        1/2(-4)

Evaluate

-12   5

1      -2

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The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.