Find the slope and the y-intercept of the graph of the linear equation.
y = 6x
The slope is 6 and the y-intercept is

Using the graph given:

1. 1. Initial height of plane A: 4 miles.

2. Plane B was 1 mile.

3. The time both planes fly at exactly the same height is: 20 seconds.

A graph illustrates the relationship between two variables, one plotted on the x-axis upon which the one plotted on the y-axis depends on.

Like in the graph shown above, the time in seconds is plotted on the x-axis as against the height in miles on the y-axis.

Each point on the graph, (x, y) shows the height (y) of the plane after some seconds (x).

Therefore:

1. The initial height of plane A is at 4 miles.

2. After 40 secs, the height of plane B was 1 mile.

3. The point where the two lines intersect shows when the time and height of both planes are the same. Therefore, at 20 seconds, both planes were flying at the same height of 3 miles.

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Answer:

Step-by-step explanation:

Let M(x,y) be the median of ΔABC through A to BC.M will be the midpoint of BC.x1​=5,y1​=3x2​=3,y2​=−1By midpoint formula, x=(x1​+x2​)/2∴x=(5+3)/2=8/2=4By midpoint formula, y=(y1​+y2​)/2∴y=(3+(−2))/2=2/2=1Hence the co-ordinates of M are (4,1).By diatnce formula, d(AM)=[(x2​−x1​)2+(y2​−y1​)2]​x1​=7,y1​=−3x2​=4,y2​=1

The correct description that can made of these graphs is that (b) they have the same x- and y-intercepts.

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

Exponential function f(x)

(-1, 7), (1, 2), (10, -1), (3, 0) (0, 4)

The function g(x)

x -1 0 1 2 3

g(x) 24 4 0

The y-intercept of the functions are

f(0) = 4

g(0) = 4

The x-intercept of the functions are

f(3) = 0

g(3) = 0

Hence statement B is correct. They have the same x- and y-intercepts.

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1.1) The volume of the cube is 27 cubic centimeters. 1.2)the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) the mass of the water cube is 27 grams. 1.4) the weight of the water and the ice would be the same under the same conditions. 1.5)In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

1.1) The volume of the cube can be calculated using the equation: Volume = width x height x length. In this case, the cube measures 3 cm wide, 3 cm tall, and 3 cm long, so the volume is:

Volume = 3 cm x 3 cm x 3 cm = 27 cm³.

Therefore, the volume of the cube is 27 cubic centimeters.

1.2) Density is defined as mass divided by volume. The mass of the ice cube is given as 24.76 grams, and we already determined the volume to be 27 cm³. Therefore, the density of the ice cube is:

Density = Mass / Volume = 24.76 g / 27 cm³ ≈ 0.917 g/cm³.

Therefore, the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) The volume of the water cube is the same as the ice cube, which is 27 cm³. Given the density of liquid water as 1.00 g/cm³, we can calculate the mass of the water cube using the equation:

Mass = Density x Volume = 1.00 g/cm³ x 27 cm³ = 27 grams.

Therefore, the mass of the water cube is 27 grams.

1.4) The weight of an object depends on both its mass and the acceleration due to gravity. Since the volume of the water cube and the ice cube is the same (27 cm³), and the mass of the water cube (27 grams) is equal to the mass of the ice cube (24.76 grams), their weights would also be equal when measured in the same gravitational field.

Therefore, the weight of the water and the ice would be the same under the same conditions.

1.5) Ice floats on water because it is less dense than liquid water. The density of ice is lower than the density of water because the water molecules in the solid ice are arranged in a specific lattice structure with open spaces. This arrangement causes ice to have a lower density compared to liquid water, where the molecules are closer together.

When ice is placed in water, the denser water molecules exert an upward buoyant force on the less dense ice, causing it to float. The buoyant force is the result of the pressure difference between the top and bottom surfaces of the submerged object.

In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

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Answer:

It's all integers x such that -1<=x<=2.

Step-by-step explanation:

The domain is the x values for which the relation exists.

Lets read from left to right.

First point I see from left exists at x=-1, next one at x=0, then x=1, and finally at x=2.

So it's all integers x such that -1<=x<=2.

*<= means less than or equal to

Answer:

-3a + 14c

Step-by-step explanation:

4a+7(2c-a)

4a + 14c - 7a

-3a + 14c

Answer:

-3a + 14c

Step-by-step explanation:

4a + 7(2c - a)

4a + 14c - 7a            <- Distribute

-3a + 14c                  <- Add like terms

Answer:

Step-by-step explanation:

$18-$7.50= $10.50

Answer:

f(x)=3x

f(x)=x+2

f(x)=3√3+x2

Step-by-step explanation:

Answer: 37 degrees

Hope this helps :)

Step-by-step explanation:

(The box in the corner tells you this is a right angle)

A right angle is 90 degrees

90 - 53 = 37

Answer:

37 degrees

Step-by-step explanation:

Angle a is equivalent to 37 degrees because the picture signifies a right angle; all right angles are equal to 90 degrees. The equation to solve this would be: 53+x=90, you would solve this by subtracting 90-53=x; x=37

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Answer:

1) n=±2\(\sqrt{5}\)

2) a=±3\(\sqrt{10}\)

Step-by-step explanation:

1) \(n^{2}\) =20

✰Take the square root of both sides n=±\(\sqrt{20\\}\)

✰ Simplify \(\sqrt{20\\}\) to 2\(\sqrt{5}\)

→ n=±2\(\sqrt{5}\)  

⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆

2) \(a^{2}\) =90

✰ (Same as above) Take the square root of both sides ​a=±\(\sqrt{90\\}\)

✰ Simplify \(\sqrt{90}\) to 3\(\sqrt{10}\)

→ a=±3\(\sqrt{10}\)

Problem N 7

Part A

Find out the measure of angle QRS

we have that

m by form a linear pair

m given

mmm

Part B

Find out the measure of angle Q

we have that

145=y+4y -----> by exterior angle theorem

solve for y

145=5y

y=29

Find out the measure of angle Q

mtherefore

Answer:

See attachment.

Step-by-step explanation:

On attachment.

If Victor took out 30% of his construction paper. The number of sheets of construction paper that Victor  did not take out is C. 56 sheets.

If Victor took out 30% of his construction paper, then he has 70% of his construction paper left.

Let's call the total number of sheets of construction paper that Victor had originally "x".

Then, Victor took out 0.3x sheets of paper, and he has 0.7x sheets of paper left.

If Paul used 6 sheets, Allison used 8 sheets, and Victor and Gayle used the last 10 sheets, then the total number of sheets used is:

6 + 8 + 10 = 24

Since this is the amount that was taken out, we can set it equal to 0.3x and solve for x:

0.3x = 24

x = 80

Therefore, Victor originally had 80 sheets of construction paper, and he took out 0.3x = 0.3(80) = 24 sheets.

So he has 0.7x = 0.7(80) = 56 sheets of construction paper left.

Therefore the correct option is C.

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Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

The correct steps he could use to solve the quadratic equation are;

Steps 2, 3, 5

We are told that Sergey is solving the quadratic equation given as;

5x² + 20x – 7 = 0.

Now, when solving a quadratic equation, we can employ factorization, completing the square of via the use of quadratic formula.

Now, one step that can be taken is to add 7 to both sides to get;

5x² + 20x = 7

Another step is to factorize the left to get;

x + 2 = ±√(27/5)

Another step that can be taken is to complete the square on the left to get; 5(x² + 4x + 4) = 7 + 20

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The options are;

5(x² + 4x + 4) = –7 + 20 x + 2

x + 2 = ±√(27/5)

5(x² + 4x) = 7

5(x² + 4x + 4) = 7 + 20

5(x² + 4x) = -7

Answer: y=-4x/9 + 1/3

Step-by-step explanation:

y=mx + c

**Substitute known variables into the equation**

-1=3m + 1/3

(-1=3m + 1/3)*3      ==> Multiply equation by 3 to get rid of fractions

-3=9m+1

9m=-4

m=-4/9

y=-4x/9 + 1/3

Answer:

2

Step-by-step explanation:

when it returns to the ground , h = 0

32t -16t2 = 0 and solve for t

t = 0, 2   ....0 is the start, 2 is when it returns

Answer:

2

Step-by-step explanation:

Answer:

0.25/6+32=32.0416666667

Step-by-step explanation:

I got this answer because i saw that the 0.25 was at the begining of the equation and i thought that was division and then the ones in perenthisis which was 6+32 and i got my answer buy using a calculater but i got the equation by my self.

Answer:

your answer will be 18.9

Step-by-step explanation:

hope this helps you have a nice day :)

step by step is in the picture

Answer:

(x - 4)(x - 2)²

Step-by-step explanation:

x³ - 8x² + 20x - 16

x³ - 4x² + 4x - 4x² + 16x - 16

x(x² - 4x + 4) - 4(x² - 4x + 4)

(x - 4)(x² - 4x + 4)

(x - 4)(x² - 2x - 2x + 4)

(x - 4)(x(x - 2) - 2(x - 2))

(x - 4)(x - 2)(x - 2)

(x - 4)(x - 2)²

(x - 4)(x - 2)²

Answer:

-96

Step-by-step explanation:

x+2=0 take 2 to the other side which will be -2

the -2 you sub it into the quotient and calculate

a. For the conversion, the chief should multiply 8 by 5,280 to convert the 8 miles to feet. The Option C is correct

b. It will take the crew 440 minutes to paint 8 miles.

One mile is equal to 5280 feet. So, to convert our miles to feet, we need to multiply the length or distance in miles times 5280.

To convert miles to feet, the chief should multiply number of miles by the conversion factor of 5,280 feet per mile.

The measurement in feet will be:

= 8 miles * 5,280 feet/mile

= 42,240 feet.

B. If the crew can paint 96 feet in one minute, we will use unit rate of feet per minute to determine how long it will take to paint 42,240 feet which is:

= 42,240 feet /96 feet

= 440 minutes.

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Answer:

D

Step-by-step explanation:

the odds are less than .24 so it must be 0.12

Answer:

the point form is (-3,-11)

the equation form is x= -3, y= -11

Answer:

6:13

Step-by-step explanation:

The net sales in the department during the month of april is $15960.

Sell-thru perecentage rate = Units sold / Units recieved

In our case:

Net sales = (Sell-thru rate)*(opening inventory)

Net sales = (0.28)*($57000)

= $15960

Net sales refer to the total amount of revenue generated by a company from its primary business operations, minus any returns, allowances, and discounts. This figure reflects the actual revenue earned by a company after accounting for any deductions and is a critical metric for evaluating the financial performance of a business.

Net sales are reported on a company's income statement and are a key component of the top line, which also includes other sources of revenue, such as interest income or gains from the sale of assets. Understanding a company's net sales is essential for assessing its growth potential, profitability, and overall financial health. Investors, creditors, and other stakeholders use net sales as a metric to evaluate a company's ability to generate revenue from its core operations, as well as its ability to compete effectively in its industry.

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\(slope=\dfrac{y2-y1}{x2-x1}\)

Label the coordinates:

(-1, 8)        (3, -4)

point 1     point 2

\(slope=\dfrac{-4-8}{3-(-1)}\)

\(slope=\dfrac{-12}{4}\)

\(\fbox{slope = -3}\)

Answer:

Below

Step-by-step explanation:

Slope , m  is defined as (y1-y2)/(x1-x2)

  it does not matter which point you call one and which you call two ...

m = ( 8 - - 4) / (-1 -3) = 12/ (-4) = - 3 slope

For Fund 1, the expected return is 5% with a standard deviation of 13.42%. For Fund 2, the expected return is 2% with a standard deviation of 24.66%. If risk-averse, Fund 1 is preferred.

To find the expected value and standard deviation of returns for Fund 1, we use the formula

Expected value = Σ(Probability of state of economy × Return for that state)

Standard deviation = sqrt[Σ(Probability of state of economy × (Return for that state - Expected value)^2)]

Expected value of Fund 1 = (0.2 × 20) + (0.5 × 10) + (0.3 × (-10)) = 5%

Standard deviation of Fund 1 = sqrt[(0.2 × (20-5)^2) + (0.5 × (10-5)^2) + (0.3 × (-10-5)^2)] = 13.42%

To find the expected value and standard deviation of returns for Fund 2, we use the same formula

Expected value of Fund 2 = (0.2 × 40) + (0.5 × 20) + (0.3 × (-40)) = 2%

Standard deviation of Fund 2 = sqrt[(0.2 × (40-2)^2) + (0.5 × (20-2)^2) + (0.3 × (-40-2)^2)] = 24.66%

If you are risk-averse, you would prefer a lower-risk investment with a lower standard deviation. Based on the standard deviations calculated above, Fund 1 is the lower-risk option, so you should pick Fund 1.

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The answer to each part is mentioned below →

[1] - The measure of each angle is given as -

∠P = 21°

∠Q = 105°

∠L =  54°

[2] - The measure of each angle is given as -

Larger acute angle = 65°

Smaller acute angle =  25°

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted ΔABC.

In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

Given is ΔQPL, such that the m∠Q is five times the m∠P and m∠L is 12 more than twice the m∠P. It is also the larger acute angle is 10 degree less then three times the measure of smaller acute angle.

[1] - It is given that -

∠Q = 5∠P

∠L = 2∠P + 12

For the triangle ΔQPL, we can write -

∠Q + ∠P + ∠L = 180

5∠P + 2∠P + 12 + ∠P = 180

8∠P = 168

∠P = 21°

∠Q = 5∠P = 5 x 21 = 105°

∠L = 2∠P + 12 = 2 x 21 + 12 = 54°

[2] -

Assume that the larger acute angle is [x] and the smaller angle be [y]. Then -

x = 3y - 10

Then -

x + y + 90 = 180

3y - 10 + y + 90 = 180

4y = 100

y = 25

x = 3 x 25 - 10

x = 65

Therefore, the answer to each part is mentioned below -

[1] - The measure of each angle is given as -

∠P = 21°

∠Q = 105°

∠L =  54°

[2] - The measure of each angle is given as -

Larger acute angle = 65°

Smaller acute angle =  25°

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