The sum of two consecutive even numbers is 38. Find the bigger number.

Answer:

25

Step-by-step explanation:

If one box of rice feeds 5 students, then 5 boxes of rice will feed:  5 x 5 = 25 students

There is a totaly of 50 students, and only enough rice for 25 students.  Therefore, the number of students who will not get rice = 50 - 25 = 25

Answer:

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Step-by-step explanation:

The surface area of the rectangular prism given is 396 inches².

Given a rectangular prism.

We have to find the total surface area of the rectangle.

A rectangular prism consists of the dimensions length, width and height.

It contains three pairs of identical rectangular shapes.

We have to find the total surface area.

Total surface area of the prism is,

Surface area = 2lw + 2wh + 2lh

                      = 2 [lw + wh + lh]

Here l, w and h are length, width and height respectively.

Here, l = 7 inches, w = 6 inches and h = 12 inches

Surface area = 2 [(7 × 6) + (6 × 12) + (7 × 12)]

                      = 2 [42 + 72 + 84]

                      = 2 × 198

                      = 396 inches²

Hence the surface area is 396 inches².

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Answer:

36 x^3 - 32 x^2 + (x + 4) (x^2 - 6 x + 3).x^3 - 62 x + 12

Step-by-step explanation:

Answer:

x^6-2x^5-21x^4+48x^3-32x^2-62x+12

Step-by-step explanation:

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Answer:

Step-by-step explanation:

We can use the equation:

4x - 1.9 = 22.2

where x is the price of one tire patch.

This equation represents the total cost of four tire patches minus the amount remaining on the gift card after the purchase. Solving for x, we get:

4x = 22.2 + 1.9

4x = 24.1

x = 24.1 / 4

x = 6.025

Therefore, the price of one tire patch is $6.025.

None of the other equations listed are appropriate for solving this problem.

Answer:

-1.33333 < x

Step-by-step explanation:

subtract 5 from both sides

get -4<3x

divde 3 by both sides

-1.33< x

Hi, there!

 _______

The first step is:

» Subtract both sides by 5

\(\sf{-4 < 3x}\)

Now divide each term by 3:

\(\sf{-\dfrac{4}{3} < x}\)

We can flip it over:

\(\sf{x > -\dfrac{4}{3}}\)

Hope the answer - and explanation - made sense,

happy studying!!

Answer:

1605

Step-by-step explanation:

Answer:

x = 5, y = 12

Step-by-step explanation:

Substitute y = 2x + 2 into 3x - y = 3, and then solve for x.

\(3x - (2x + 2) = 3\)

\(3x - 2x - 2 = 3\)

\(x - 2 = 3\)

\(x = 5\)

From this:

\(y = 2(5) + 2 = 10 + 2 = 12\)

Answer:

Step-by-step explanation:

=mean=sum of data /no of data

=2+3+4/3

=9/3

=3

f(x) has a point of inflection at x = 0 and x = 1/2.To find the values of x where the graph of the function\(f(x) = x^4 - x^3\) has a point of inflection, we need to find where the second derivative of the function changes sign from positive to negative or vice versa.

The first derivative of the function is:

\(f'(x) = 4x^3 - 3x^2\)

The second derivative of the function is:

\(f''(x) = 12x^2 - 6x\)

Setting f''(x) equal to zero and solving for x gives:

\(12x^2 - 6x = 0\)

6x(2x - 1) = 0

This equation has two solutions:

x = 0, or x = 1/2

To determine whether these values of x correspond to points of inflection, we need to look at the sign of the second derivative on either side of each value.

When x < 0, f''(x) is positive because both \(12x^2\) and -6x are positive. When 0 < x < 1/2, f''(x) is negative because \(12x^2\)is positive but -6x is negative. When x > 1/2, f''(x) is positive again because both \(12x^2\) and -6x are negative.

Therefore, f(x) has a point of inflection at x = 0 and x = 1/2.

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The 36th derivative of f(x) = cos(2x) is \(2^{17}\)* cos(2x).

To find the 36th derivative of the function f(x) = cos(2x), we can apply the chain rule repeatedly. The chain rule states that if we have a composite function y = f(g(x)), then its derivative is given by dy/dx = f'(g(x)) * g'(x).

Let's start by finding the first few derivatives of f(x) = cos(2x):

f'(x) = -2sin(2x)

f''(x) = -4cos(2x)

f'''(x) = 8sin(2x)

f''''(x) = 16cos(2x)

We observe a pattern where the derivatives of cos(2x) alternate between sin(2x) and cos(2x), with the signs changing accordingly.

Based on this pattern, we can see that the 36th derivative will be:

f^(36)(x) =\((-1)^{17} * 2^{17} *\) cos(2x)

Simplifying this expression, we have:

f^(36)(x) = \(2^{17} * cos(2x)\)

Therefore, the 36th derivative of f(x) = cos(2x) is\(2^{17\) * cos(2x).

It's important to note that in this case, the number 36 is even, and since the derivatives of cos(2x) follow a repeating pattern every 4 derivatives, the sign (-1) raised to the power of 17 accounts for the change in sign in the 36th derivative.

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Answer:

6 Cranes

Step-by-step explanation:

Given

Animals: Zebra & Cranes

\(Heads = 18\)

\(Legs = 60\)

Required

Determine the number of Cranes

Represent Zebra with Z and Cranes with C

A Zebra has 1 head and 4 legs

A Crane has 1 head and 2 legs

So:

\(Z + C = 18\)

\(4Z + 2C = 60\)

Make Z the subject in the first equation

\(Z = 18 - C\)

Substitute 18 - C for Z in the second

\(4(18 - C) + 2C = 60\)

\(72 - 4C + 2C = 60\)

Collect Like Terms

\(- 4C + 2C = 60 - 72\)

\(- 2C = -12\)

\(2C = 12\)

Solve for C

\(C= 12/2\)

\(C = 6\)

Answer:y=Mx+b

Step-by-step explanation:

Answer:

Undefined

Step-by-step explanation:

The slope of a horizontal line is zero.  The slope of a vertical line is undefined.

Answer: 275,400

Step-by-step explanation:

- First we do 18 multiplied by 20 which would get us the answer of 360

- Next we do 45 multiplied by 17 which would get us the answer of 765

- Now we multiply both 360 and 765 and get the answer of 275,400

Answer:

actually I am sorry I dont rly know but I need some points

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

32/2 x 100% = 1600 %

Answer:

Step-by-step explanation:

A function f(x) has an inverse, or is one-to-one, if and only if the graph y = f(x) passes the horizontal line test. A graph represents a one-to-one function if and only if it passes both the vertical and the horizontal line tests.

Answer:625 dollars

Step-by-step explanation:

Answer:   m=-10,4

Step-by-step explanation:

Hence, last weekend, Anjie earned $178.75.

Hoped this helped.

\(BrainiacUser1357\)

Answer: You would need to sell $66,667 worth of electronics.

Step-by-step explanation:

We can use equations:

Option A - 20,000 + 0.12x

Option B - 26,000 + 0.03x

If we set them equal to each other, we can find the x value at which the electronics sold give us equal income

20000+0.12x = 26000+0.03x

0.9x = 6,000

x = 66,666.67

10 × 6 × 4

= 60 × 4

= 240 cm³

50 × 4 × 3

= 200 × 3

= 600 cm³

= 600.000 dm³

600.000 ÷ 240

= 2.500

The number that belongs in the green box using sine rule is 13.96.

The rule of sine or the sine rule states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.

To calculate the number that belongs in the green box, we use the formula below

Formula:

From the diagram,

Given:

Substitute these values into equation 1

Solve for x

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Johannes will need to pay $8.61 for 5 pounds of ground beef

Since Johannes needs 5 pounds of ground beef, and the available pounds are 1.5, 2, 3, and 3.75 pounds.

To reduce the cost, he need to select the package with the lowest cost per pound.

The cost per pound for each package is:

Package 1: $5.58 / 1.5

              = $3.72 per pound

Package 2: $7.44 / 2

              = $3.72 per pound

Package 3: $1.16 / 3

              = $0.39 per pound

Package 4: $13.95 / 3.75

                = $3.72 per pound

Therefore, the package with the lowest cost per pound is Package 3 and package 2  which will give us 5 pounds

So he can do it as:

$1.16 + $7.44

= $8.6

Or

(1 package of 3 pounds x $0.39 per pound) + (1 package of 2 pounds x $3.72 per pound)

= $1.17 + $7.44

= $8.61

Therefore, Johannes will need to pay $8.61 for 5 pounds of ground beef.

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My recommendation to Carlos and Clarita would be to prepare for 3 cats and 3 dogs. This combination offers the highest profit potential based on the given prices and costs.

In order to maximize their profit, Carlos and Clarita should choose the combination of cats and dogs that yields the highest total profit.

In order to make a reasonable recommendation, we can create a profit table based on different values of x and y:

x y Total Profit

0 0 0

1 0 6

0 1 15

1 1 21

2 1 27

1 2 30

2 2 36

3 2 42

2 3 45

3 3 51

From the table, we can see that the highest total profit is achieved when they accommodate 3 cats and 3 dogs. This combination would result in a daily profit of $51.

Therefore, my recommendation to Carlos and Clarita would be to prepare for 3 cats and 3 dogs.

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Robert's dimes are anywhere between 17 and 19.

Nickels

are worth 5 cents, and

dimes

are worth 10 cents. Since Robert has 10 nickels, he already has 50 cents. To reach a minimum of $2.20, or 220 cents, Robert needs at least 170 more cents. Because each dime is worth 10 cents, he needs a minimum of 17 dimes. If he has a maximum of 29 coins in total, subtracting the 10 nickels means that he can have up to 19 dimes. So, Robert could have anywhere between 17 and 19 dimes.

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