2. What is the x-intercept of the line that passes
through the point (-5,-9) and has a slope of 3?
A. (2,0)
B. (-2,0)
C. (6,0)
D. (-6,0)

The rental cost in dollars per square foot is $11,00

Cost of renting 1.250 square feet = $13, 750 per month

Rental cost per square foot = Total renting cost / total renting area

= $13, 750 per month / 1.250 square feet

= $11,000

Hence, $11,000 is the rental cost in dollars per square foot.

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Answer:

Annette should plan to spend 2.25 hours walking back.

Step-by-step explanation:

To solve this problem, we can use the formula:

Time = Distance / Speed

Let's assume the distance of the race is D miles.

Annette spends her time running the distance of the race, which takes:

Time running = D / 9 hours

She then walks back the same distance, which we need to find the time for:

Time walking = D / 3 hours

Since Annette has a total of 3 hours for her training, the sum of the running time and walking time should equal 3 hours:

D / 9 + D / 3 = 3

To simplify the equation, we can multiply all terms by 9 to eliminate the denominators:

D + 3D = 27

Combining like terms:

4D = 27

Dividing both sides of the equation by 4:

D = 6.75

So, the distance of the race is 6.75 miles.

To find the time Annette should spend walking back, we substitute the distance into the time-walking formula:

Time walking = D / 3 = 6.75 / 3 = 2.25 hours

Therefore, Annette should plan to spend 2.25 hours walking back.

Answer:

Step-by-step explanation:

4x6 meaning the length is 4 and the width is 6 while as the thickness all around is 31 1/2 inches.

4x6=24

the area is 24 inches

He should use a 24 inch wide nail and the length should be 33/2 so it doesnt unloosen.

Answer:

Exactly one the first option is correct

Step-by-step explanation:

In the figure we can see that both the lines intersect each other at one point so the solution is exactly one

If the lines would have intersected at two points then it would be exactly two

If the lines wouldn't have intersected each other at all there would be no solution so none.

If the lines were on top of each other there would be infinitely many solutions.

Since m_MN = m_AB, we can conclude that the segment joining the midpoints of two sides of a triangle is parallel to the third side.

Triangle is a three-sided polygon with three angles. It is one of the basic shapes in geometry and is usually considered the simplest type of polygon. Triangles are distinguished by their sides, angles, and whether or not they are equilateral, isosceles, or scalene. The sides of a triangle are always connected, and the angles of a triangle always add up to 180°.

Let A(x1, y1), B(x2, y2), and C(x3, y3) be the vertices of a triangle. Then the point M, which is the midpoint of the side AB, coordinates M(x1 + x2 / 2, y1 + y2 / 2). Similarly, the point N, which is the midpoint of the side AC, has coordinates N(x1 + x3 / 2, y1 + y3 / 2).

The slope of the segment MN is given by:
m_MN = (y1 + y3 / 2 - (y1 + y2 / 2)) / (x1 + x3 / 2 - (x1 + x2 / 2))

The slope of the segment AB is given by:
m_AB = (y2 - y1) / (x2 - x1)

Substituting the coordinates for M and N into the equation for m_MN, we get:
m_MN = (y1 + y3 / 2 - (y1 + y2 / 2)) / (x1 + x3 / 2 - (x1 + x2 / 2))
= (y3 - y2) / (x3 - x2)

Substituting the coordinates for A and B into the equation for m_AB, we get:
m_AB = (y2 - y1) / (x2 - x1)
= (y3 - y2) / (x3 - x2)

Since m_MN = m_AB, we can conclude that the segment joining the midpoints of two sides of a triangle is parallel to the third side.

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Answer:

x=4+root6x

Step-by-step explanation:

Answer:

His team can buy 8 uniforms, and $8 will be left over.

Step-by-step explanation:

168(total amount of money) divided by 20(cost of each uniform) is 8 with a remainder of $8.

Answer:

See below.

Step-by-step explanation:

Y-intercept - 1

Asymptote - 0

Range - y>0

-hope it helps

Answer: 171 attendees

Step-by-step explanation:

I answered another similar question by you earlier, so I really hope you read through this explanation, as I will go far in depth.  It's important you learn to do this so as not to simply skate through homework, then struggle with assessment.

For this problem, you have to find something called a unit price.

A unit price is the price in dollars per thing.

In this case, the price in dollars for the whole group is $132 for many things, 66 attendees.

Because 66 attendees costs $132, to find out how much money a single attendee costs, simply divide $132 by 66 to get 2$ for 1 attendee.

With this information, it is very straightforward to determine the number of attendees for $342.  Simply divide $342 by $2 to get 171 attendees.

I really hope it helps :) and please, let me know if you want me to explain in more depth, the unit you are currently in is a fundamental part of early math, and it is important you understand it.

Answer:

d

Step-by-step explanation:

As you can tell by the graphs the relative minimum is -14 since that is where the curve ends and -3 is the maximum due to the top curve being at -3

Answer:

d)  relative minimum = −14, relative maximum = −3

Step-by-step explanation:

The relative minimum and maximum values are the minimum and maximum y-values of the points in the domain of the function.

From inspection of the given graph, the minimum y-value in the interval [1, 5] is -14 and the maximum y-value in the interval [1, 5] is -3.

Therefore:

\(f(g(13)) = f( \alpha ) \\ where \: \alpha = g(13)\)

As shown in the output of g when we want to input 13 is shown in the second figure.

\( \alpha = g(13 )= 16\)

Now we want to solve for f(g(13)),now that we know what g(13) is

\(f(g(13)) = f( \alpha ) = f(16) = 32\)

Answer:

C=32

Step-by-step explanation:

This mapping is both one to one mapping and onto mapping

f(g(13))=f(ã)

since we know that g(13),we proceed to the codomain of g which is g(16)

That will be

f(16)=32

From the text, we get two equations that relates the rate of the Smith family sprinkler and the Figueroa family sprinkler. Let's call the rate of water of the Smith family sprinkler "S" and the rate of water of the Figueroa family sprinkler "F".

Since the the Smith family sprinkler was used for 25 hours and the Figueroa family sprinkler was used for 35 hours, and the combined output was 1850L, we have the following equation:

And since the sum of both rates equals 60L/h, we have the following:

Now, we just have to solve this system.

First, we can simplify the first equation by dividing every term by 5.

This lead us to this system

If we multiply the second equation by five, and subract it from the first equation, we get an equation only with F.

This tell us that the rate of the water output for the Figueroa family sprinkler is 35L/h. With this value, we can just substitute in any equation of our system and get the other rate.

And this is the rate for the Smith family sprinkler. 25L/h.

Answer:

120

Step-by-step explanation:

120 copies sold yesterday

Answer:

\(y = \sqrt{x^2+4}\)

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Find the solution of the differential equation that satisfies the given initial condition. dy/dx = x/y, y(0) = -2

Using the variable separable method.

Step 1: Separate the variables

dy/dx = x/y

x dx = y dy

Step 2: Integrate both sides of the resulting equation

\(\int\limits {x} \, dx = \int\limits{y} \, dy\\\frac{x^2}{2} = \frac{y^2}{2} \\ \frac{y^2}{2} = \frac{x^2}{2} + C\\y^2 = x^2 + 2C\\y^2 = x^2 + K; K = 2C\)

Note that the constant of integration added to the side containing x

Step 3: Apply the initial condition y(0) = -2

This means when x = 0, y = -2. From step 2:

\(y^2+x^2 = K\\(-2)^2+0^2 = K\\4 = K\)

Step 4: Substitute K = 4 into the resulting differential equation above

\(y^2=x^2+4\\y = \sqrt{x^2+4}\)

This gives the solution to the differential equation.

Answer:

20 times

Step-by-step explanation:

2/6

she rolls it 60 times so it turns into

2/6 = x/60

60*2 = 120

60/120 = 20

so

2/6 = 20/60

The Present value is $6,139.132.

We have,

FV=100000, pmt = 4000, I =5%, n=10

So, The present value formula is

PV=FV / (1 + \(i)^n\)

So, PV =  100, 000 / (1+ 5/100\()^{10\\\)

PV = 100,000 / (1+ 0.05\()^{10\\\)

PV = 100, 000/ (1.05\()^{10\\\)

PV = 100,000 / 1.6288946

PV= $6,139.132

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Answer:

-65a -21 "that is the simplified version"

Answer:

-65a - 21

Step-by-step explanation:

7 ( -9a - 3 ) -2a

Distribute, multiply every term in the parenthesis by the term right outside of the parenthesis,

7 ( -9a - 3 ) - 2a

-63a - 21 - 2a

Simplify

-65a - 21

The concept given is Graphs. A graph is a chart showing the relationship between magnitudes of variables, usually two variables, each measured along a pair of orthogonal axes.

Charts and tables are powerful visual tools because they present information quickly and easily. that graphics are commonly used in print and electronic media.

Sometimes data is easier to understand in a chart than in a table because a chart can show a trend or comparison.

A) bar graph and pie chart.

B) histogram, stem plot, and box plot.

C) histogram, stem plot, and box plot.

D) time plot.

E) bar graph and pie chart.

F) normal quantile plot.

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The economic investment will be $415.

It should be noted that an investment is simply used to generate further wealth.

Therefore, the investment will be the addition of the values given. This will be:

= $125 + $200 + $20 + $70

= $415

Therefore, the economic investment will be $415.

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Answer:

73-2n

Step-by-step explanation:

After solving the given equation, the values obtained will be equal to 210° and 330°. Hence, option B is correct.

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given equation in the question,

2 sin x + 1 = 0

2 sin x = -1

sin x = -1/2

So, the coordinates will be \((\frac{-\sqrt{3} }{2},\frac{-1}{2} )\) and \((\frac{\sqrt{3} }{2},\frac{-1}{2} )\) Have y values of -1/2.

So, The coordinates have the following radian correspondents (7 π)/6 and (11π)/6.

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The grams of cocoa does it contains is 36.57 grams

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

Weight of the chocolate bar = 69

Proportion = 53%

This implies that

Grams of cocoa = weight of the chocolate bar * Proportion

Substitute the known values in the above equation, so, we have the following representation

Grams of cocoa = 53% * 69

Evaluate the products

Grams of cocoa = 36.57

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Answer:

12-4r

Step-by-step explanation:

4r<12 because r<3 so you flip it.

Answer:

$15.4

Step-by-step explanation:

The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.

The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.

For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.

Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

So we have derived p as the result using the Power of a Power Property.

In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.

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Based on the set of transformations for trapezoid ABCD, the location of point A after the transformations are complete is: D. (−5, 1).

In Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has the coordinates (-x, -y).

By applying a rotation of 180° to the given point, the coordinates of its image is given by:

(x, y)                           →               (-x, -y)

Points A = (-5, 1)        →     Points A' = (-(-5), -(1)) = (5, -1).

Next, we would reflect the given point over the x-axis as follows;

(x, y)                           →              (x, -y)

Points A' = (5, -1)        →     Points A' = (5, -(-1)) = (5, 1)

Lastly, we would reflect the given point over the y-axis as follows;

(x, y)                           →              (-x, y)

Points A' = (5, 1)        →     Points A' = (-(5), 1) = (-5, 1)

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Answer:

1291962 golf balls

Step-by-step explanation:

golf ball: 4/3П(0.8)^3=2.14 in^3

storage unit: 120(240)(96)=2764800 in^3

2764800/2.14=1291962 golf balls

Number of golf balls that will fit inside of a storage will be 1291962 golf balls

diameter of golf ball = 1.6 in³

radius will be = 0.8 in³  

it is known that 1 ft = 12 in

What is volume ?

Volume is a three dimensional space occupy by the body of particular shape  such as here :

volume (V) of sphere golf ball with radius r : \(\frac{4}{3}\pi r^{3}\)

\(\begin{aligned}V&= \frac{4}{3}\pi r^{3} \\&=\frac{4}{3}\pi (.8)^{3}\\&\approx 2.14 \text{\:in}^{3}\end{aligned}\)

Volume of rectangle (\(V_{1}\)) with length (l= 10x12 in.), breadth (b =20x12 in.) and height (h = 8x12 in.) : lbh

\(\begin{aligned}V_{1}&=lbh\\&=120\cdot240\cdot96\\&=2764800 \text{\:in}^3\end{aligned}\)

therefore, number of golf balls will fit inside of a rectangular storage

will be : \(\frac{V_{1}}{V}\)

\(\begin{aligned}\text{no. of golf ball}&= \frac{V_{1}}{V}\\&=\frac{2764800 \text{\:in}^3}{2.14}\\&\approx 1291962\end{aligned}\)

number of golf balls will be 1291962.

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