a line passes through the point of (4,2) and has a slope of -5/4

Answer:

(b*c+c-1+b)*(-c+b*c-b-1)

or

(b*c + c - 1 + b)*(-c + b*c - b -1)

put both in the same order:

(bc + b + c - 1)( bc - b - c - 1)

Turn the crank:

(bc)2 + b2c + bc2 - bc      -b2c -b2 - bc + b     -bc2 - bc - c2 + c    -bc - b - c + 1

Cancel things....

(bc)2   - bc  -b2 - bc   - bc - c2  -bc   + 1

(bc)2 - 4bc - b2 - c2  + 1

Answer:

450 cubic cm

Step-by-step explanation:

The formula for volume is length*width*height, so 10*5*9=450

Answer:

2x^3-5x^2-28x+15 -------------------------expanded

2x^3-5x^2-28x+15--------------------simplified

Step-by-step explanation:

\left(2x-1\right)\left(x+3\right)\left(x-5\right)

=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)

simplyfied

\left(2x^2+5x-3\right)\left(x-5\right)

=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)

=2x^3-5x^2-28x+15

Based on the information given, the computation shows that the revenue from the customers will be $1300.

The following can be deduced from the information given:

Therefore, the number of visits in an hour will be:

= 60/3

= 20 visits

Therefore, the revenue every hour will be:

= 20 × $5 × 13

= $1300

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Answer:

160 sandwiches/hour

Step-by-step explanation:

To find his unit rate, divide 400 by 2.5, since he can make 400 sandwiches in 2.5 hours:

400/2.5

= 160

This means he can make 160 sandwiches in 1 hour.

So, his unit rate is 160 sandwiches/hour

Answer:

3^2

Step-by-step explanation:

3x3x3 = 27

Because if you have 3^2 then that is 3 to the power of 2 and 3 to the power of 2 is 27.

Answer:

3 by the power of 2

Step-by-step explanation:

The angles that are 118 degrees are ∠1 , ∠3, ∠5 and ∠7.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, vertically opposite angles etc.

Therefore, let's find the angle relationship in the line and find the angles that are 118 degrees.

Hence,

∠3 = 180 - 62 = 118 degrees(angles on a straight line)

∠1 ≅ ∠3 (vertically opposite angles)

∠7 ≅ ∠3 (alternate interior angles)

∠5 ≅ ∠7 (vertically opposite angles)

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a) The volume of topsoil needed to fill the flowerbed is 7.5 cubic meters.

b) The cost of the topsoil needed to fill the flowerbed is $588.75.

a) To calculate the volume of topsoil needed to fill the flowerbed, we need to find the volume of the rectangular prism formed by the flowerbed.

The volume of a rectangular prism is given by the formula:

Volume = Length × Width × Height

In this case, the length of the flowerbed is 3 meters, the width is 5 meters, and the height (depth of topsoil) is 0.5 meters.

Volume = 3 meters × 5 meters × 0.5 meters = 7.5 cubic meters.

Therefore, the volume of topsoil needed to fill the flowerbed is 7.5 cubic meters.

b) To calculate the cost of the topsoil needed, we multiply the volume of topsoil by the cost per meter.

The cost per meter of topsoil is given as $78.50/meter.

Cost = Volume × Cost per meter

Cost = 7.5 cubic meters × $78.50/meter

The cubic meter unit cancels out, leaving us with the total cost in dollars.

Cost = $588.75

Therefore, the cost of the topsoil needed to fill the flowerbed is $588.75.

It's important to note that the calculation assumes a uniform depth of topsoil throughout the entire flower.

If there are variations in the depth or other factors, the calculation may need to be adjusted accordingly.

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Answer:

Step-by-step explanation:

U={x|x∈N and x<10}

or U={1,2,3,4,5,6,7,8,9}

B={x|x∈N and x is even and x<10}

or

B={2,4,6,8}

C={x|x∈N and x<10}

or

C={1,2,3,4,5,6,7,8,9}

(B∩C)={2,4,6,8}

(B∩C)'={1,3,5,7,9}

Answer:

because east to west

Step-by-step explanation:

east to south to north to east

Hello there. To solve this question, we'll have to remember some properties about the unit circle.

Given the unit circle:

Notice we have a right triangle with opening angle theta and hypotenuse equals 1.

Therefore all the points in this unit circle have coordinates (cos(Θ), sin(Θ)).

To find the value of x, we first have to know that it is a point from the third quadrant, so the angle is between pi and 3pi/2.

In this case, cos is negative and so do sin.

We just have to make:

For an angle theta between pi and 3pi/2.

We know that sin(pi/4) = sqrt2/2. Also, from the identity sin(x + pi) = -sin(x), we have that:

sin(pi/4 + pi) = sin(5pi/4) = -sin(pi/4) = -sqrt2/2.

Therefore we say the angle theta is 5pi/4.

Taking its cosine, we have:

Thus we have that the expressions between brackets are:

The number of grams of cocoa is 50.9 grams

This is the mass of an object

Since we have that a chocolate bar contains 53% cocoa and the weight of the chocolate bar is 96 grams.

Let

So, we have that

x = pW

Given that

Substituting the values of the variables into the equation, we have that

x = pW

x = 0.53 × 96 grams

x = 50.88

x ≅ 50.9 grams

So, the number of grams of cocoa is 50.9 grams

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Answer:40

Step-by-step explanation:

1)38/x=95/100

2)cross multiply: 3800=95x

3)divide each side by 95 (3800/95 and 95x/95)

4)simplify to get the answer

Answer: $40

Step-by-step explanation:

vqkrwfvihawdgvcijahbdfljhbasvlkjhabslcvhqsljdvhbaljsdhf

The parabola x = √(y - 9) opens upwards.The given parabolic equation is x = √(y - 9). Let's identify the direction of opening of this parabola.The general form of the equation of a parabola is y = a(x - h)² + k.

Comparing this to the given equation, we can see that h = 0 and k = 9. The vertex is therefore (h, k) = (0, 9). Now, let's determine whether the parabola opens upwards or downwards.

If the coefficient of (x - h)² is positive, the parabola opens upwards, and if it's negative, the parabola opens downwards. In this case, since the coefficient of (x - h)² is 1, which is positive, the parabola opens upwards.

Therefore, the parabola x = √(y - 9) opens upwards.

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Probability of a randomly chosen male applicant that has a graduate degree is 28/175.

Total number of applicants for a job= 350

Number of male applicants having a graduate degree = 56

We have to calculate the probability of a randomly chosen applicant that has a graduate degree, given that they are male.

We know ,

Probability = ( Total Number of favorable outcomes) / (Total Outcomes)

probability of a randomly chosen applicant that has a graduate degree, given that they are male = (Number of male applicants having a graduate degree)/ (Total number of applicants for a job) = 56/350 = 28/175

So, the probability of a randomly chosen applicant that has a graduate degree, that has a graduate degree, given that they are male is 28/175.

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Answer:

  length: 90 ft

  width: 30 ft

Step-by-step explanation:

The sum of length and width is half the perimeter, so is 120 ft. The length is 3/(3+1) = 3/4 of the sum, so is (3/4)(120 ft) = 90 ft. The width is 120 ft -90 ft = 30 ft.

The floor has a length of 90 feet and a width of 30 feet.

Answer:

To mathematically prove that Marc hit the ball near the top of the tower, he could use the equation h(x) = -16x^2 + 120x, where h is the height of the ball and x is the number of seconds the ball is in the air.

First, Marc would need to determine the maximum height the ball reached during its flight. This can be found by using the vertex formula, which is x = -b/2a. In this case, a = -16 and b = 120, so x = -120/(2*-16) = 3.75 seconds.

Next, Marc can substitute this value back into the original equation to find the maximum height the ball reached. h(3.75) = -16(3.75)^2 + 120(3.75) = 135 feet.

Since the tower is 300 feet tall, Marc could conclude that if the ball hit near the top of the tower, it would have reached a height close to 300 feet. Since the ball reached a maximum height of 135 feet, it is unlikely that it hit the top of the tower.

However, this calculation assumes that the tower is directly in line with Marc's shot and that the ball did not have any horizontal movement. In reality, the tower could have been to the left or right of the shot, and the ball could have had some horizontal movement, which would affect its height at impact. Therefore, this calculation can only provide a rough estimate and cannot definitively prove whether or not the ball hit near the top of the tower.

First, you have to know that 5 minutes to 8:00 is 7:55.

"It is 12 minutes slow."

So the clock's 12 minutes behind, let's catch it up a bit. :)

7:55(am) + 12(mins) = 8:07(am)

~pinetree

Answer:

The question is not complete

What do you mean exactly

The surface area of the sphere is 1810 cm²

A sphere is a three-dimensional object that is round in shape. Examples of object with spherical shape is a ball, an egg e.t.c.

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of sphere is expressed as;

A = 4πr². where r is the radius.

A = 4 × 3.14 × 12²

A = 1809.7 cm²

approximately to the nearest whole number

A = 1810 cm²

Therefore the surface area of the sphere to the nearest whole number is 1810 cm².

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Answer:

9 bags

Step-by-step explanation:

2 1/4 ÷ 1/4

9/4 ÷ 1/4

9/4 x 4/1 = 9

Answer:100

Step-by-step explanation:

40+40 =80 +20=100

Answer:

25.12

Step-by-step explanation:

Circumference (C) = 2πr

Where r = radius

We want to find the circumference of a circle with a radius of 4m ( this means that r = 4 )

To do so we simply plug in the value of r into the circumference formula

Formula: C = 2πr

r = 4 ( note that it says use 3.14 for π )

plug in values

C = 2(3.14)(4)

Simplify

C = 25.12

The slope which shows  the cost per guest is $35 per guest

The given cost for 50 guests is $2150.

The cost for 75 guests is $3025.

It can also be represented as:

(Guest, Cost) =(50, $2150) & (75, $3025)

The slope can now be calculated as

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (50, $2150) & (75, $3025)

Substituting the given values in the equation as follows:

Slope = (3025 - 2150)/(75 - 50)

Slope = 35

Hence, the slope is $35 per guest.

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Answer:

Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.

Step-by-step explanation:

hourly pay: $5/hour

number of hours: 24 hours

total pay = hourly pay × number of hours

total pay = $5/hour × 24 hours

total pay = $120

MP3 player costs $100.

Total pay is $120.

Answer: Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.

Answer:

Problem 1. Pikachu is level one and he wants to become level two. But he has to train, so he discovers that his attack swift gives him 1.176 points of experience. But he needs 2.352 points to reach the next level.

How many times does he have to perform the swift attack?

a)1 b)2 c)3 d)4

Problem 2. Snorlax needs to reach level 10 to enter the pokemon gym. But he is currently level 4. However, he discovers that his attack smash gives him .392 experience points and he needs 2.352 to reach level 10. How many times does he have to perform smash?

a)4 b)5 c)6 d)7

Step-by-step explanation:

This is a very easy question if you think the opposite.

1.- The opposite of multiplication is division. So with this knowledge, we can form any amount of problems we want we just need to combine the numbers with our product which is 2.352.

2.- So in the first place, let's make it easy. If we divide 2.352 in 2 then we are going to obtain. 1.176 as a product. Then we combine our product with our divisor and we can multiply them to find our initial product which was 2.352.

3.- In the second place we go more complicate, we divide 2.352 in 6 and we will obtain. .392 then we combine .392 with 6 to multiply them and we obtain back our initial objective. Can you see? it is the easiest thing to do.

4.- We then look for scenarios to put these two processes and we will find our problems.

Problem 1. Pikachu is level one and he wants to become level two. But he has to train, so he discovers that his attack swift gives him 1.176 points of experience. But he needs 2.352 points to reach the next level.

How many times does he have to perform the swift attack?

a)1 b)2 c)3 d)4

Problem 2. Snorlax needs to reach level 10 to enter the pokemon gym. But he is currently level 4. However, he discovers that his attack smash gives him .392 experience points and he needs 2.352 to reach level 10. How many times does he have to perform smash?

a)4 b)5 c)6 d)7