(5x3)+(nx4)=5(3+4) write each missing number.

Answers

Answer 1

Answer:

5

Step-by-step explanation:

5 x 3 = 15

n x 4 = 4n

3 + 4 = 7

(5 x 3) + (n x 4) = 5(3 + 4)

15 + 4n = 5*7

15 + 4n = 35

4n = 35 - 15

4n = 20

n = 20/4

n = 5

Hence, the value of missing number (n) is 5.


Related Questions

Which of the following statements must be true based on the diagram below?
Select all that apply. (Diagram is not to scale.)

Answers

The following statements are true based on the diagram below

I is a vertex of right angleK is a vertex of right angle

What is vertex?

When two or more curves, lines, or edges come together, it is called a vertex (plural: vertices or vertexes) in geometry. As a result of this definition, polygonal and polyhedral corners as well as the intersection of two lines to form an angle are referred to as vertices.

The vertex of an angle is the point at which two rays start or meet, where two line segments join or meet, where two lines intersect (cross), or any other suitable arrangement of rays, segments, and lines that results in two straight "sides" coming together at one location.

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You buy 4 pounds of steak at Store A for $25.50. Your friend buys 6 pounds
of steak at Store B for $40.25. Which store is cheaper?
O No answer text provided.
O They're the same
O Store A
O Store B
Question 3

Answers

Answer: To determine which store has the cheaper steak, you need to compare the price per pound of steak at each store. To do this, divide the total price by the number of pounds of steak at each store.

At Store A, the price per pound of steak is $6.38 because 25.50 / 4 = <<25.50/4=6.375>>6.375.

At Store B, the price per pound of steak is $6.71 because 40.25 / 6 = <<40.25/6=6.708>>6.708.

Therefore, Store A is cheaper because it has a lower price per pound of steak. The correct answer is Store A.

Step-by-step explanation:

Select all the relations which represent a function.
- (1,3), (2,5), (2,7), (4,9) (1,3), (1,5), (1,7), (4,9) 0 (1,2), (2,5), (2,1), (4,5)
(1,3), (2,5), (3,7), (4,9) (1,3), (2,3), (3,3), (4,3)

Answers

Therefore , (1, 3), (2, 5), (3, 7) (4, 9) and (1, 3), (2, 3), (3, 3) (4, 3) are the relations that represent a function.  

Function is what?

According to a function's rule, every x value in the domain has one and only one range of y values. Definition. A one-to-one function exists when there is just one and only one value of x such that f(x) = y.

Here,

The relationship is (1, 3), (2, 5), and (2, 7) (4, 9)

Given that 2 is repeated, the connection is not a function.

The relationship is (1, 3), (2, 5), and (3, 7) (4, 9)

Since there are no repeating numbers, the relation is a function.

The relationship stated is (1, 3), (1, 5), and (1, 7). (4, 9)

The relationship is not a 1 repeated function.

The relationships are (1, 3), (2, 3), and (3, 3). (4, 3)

Since there are no repeating numbers, the relation is a function.

The relationship stated is (1, 2), (2, 5), and (2, 1) (4, 5)

As 2 repeated, the relationship is not a function.

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A group of children played a balloon dart game at the county fair. The children took turns at the game, and the first 9 players scored

230, 540, 420, 430, 540, 560, 275, 50, 250

Joey is the 10th player, and his score is recorded with the first 9 scores after his turn. If Joey wants his score to be higher than the 70th percentile of all 10 scores, at least how many points does Joey need to score?

Answers

Joey needs to score more than 540 points, to be higher than

70th percentile of all scores.

What is percentile?

Percentile is defined as the value below which a given percentage falls under.  

Example: In a group of 20 children, Ben is the 4th tallest and 80% of the children are shorter than you. Hence, it means that Ben is at the 80th percentile.

The percentile formula determines the performance of a person over others. The percentile formula is used in finding where a student stands in the test compared to other candidates. A percentile is a number where a certain percentage of scores fall below the given number.

Given,

Scores of first 9 players:

230, 540, 420, 430, 540, 560, 275, 50, 250

let the score of joey be x.

Scores of all 10 players

230, 540, 420, 430, 540, 560, 275, 50, 250

Dataset in ascending order =

50, 230, 250, 275, 420, 430, 540, 540, 560

70th percentile of the dataset

k = 70

i = the index

n = total number of given data values = 10

i = k/100(n+1)

i = 70/100 (9+1)

i = 70 × 10/100

i = 7

The index of 70th percentile = 7

value of 70th percentile = value of data on index 7.

value of 70th percentile = 540.

Hence, To be higher than 70th percentile of all scores,

Joey should score more than 540.

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Please help me please

Answers

…………………………………………..,……
the answe is the second one I think

ABC is an equilateral triangle. A circle with radius 1 is tangent to the line
AB at the point B and to the line AC at point C. What is the side length of
ABC? Show your work?

Answers

The equilateral triangle ABC have a side length of 2 units of the radius length of the circle tangent to the line AB.

How to evaluate for the side length of the triangle

An equilateral triangle have all its side lengths equal so;

line AB = line BC = line AC

At points B and C where the lines AB and AC are tangent to the circle is the a side length BC of the equilateral triangle

Line BC form the diameter of the circle which is 2 radius of the circle so;

line BC = 2 × radius of the circle

line BC = 2 × 1

line BC = 2

Therefore, the side length of the equilateral triangle is 2 units of the radius of the circle tangent at point B and C.

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Determine if each of the following statements are true or false (HELP!!! ARE MY ANSWERS CORRECT?)

Answers

Answer:

yes

Step-by-step explanation:

find the order pairs for y=-5x-4

Answers

Answer:

(0,-4),(1,1)(2,6)

Step-by-step explanation:

what is the evaluation for 4-4y+y-3


Answers

Answer:

1-3 y

Step-by-step explanation:

Subtract the numbers 4 AND 3 WHICH WOULD EQUAL REWRITING THE ADDITON SO IT CHANGES THE MINUS SIGN TO A PLUS.

Name the image of p (9, 1.5) after being translated along the vector <3, -0.5>

Answers

The image for P(9, 1.5) after Translation is P'( 12, 1).

What is Translation?

Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.

For example, this transformation moves the parallelogram to the right 5 units and up 3 units. It is written ( x , y ) → ( x + 5 , y + 3 ) .

Given:

P(9, 1.5) with Translating Vector (3, -0.5).

So, Applying the Translation we get

P(9 + 3, 1.5 + (-0.5))

= P(12 , 1.5- 0.5)

= P(12, 1)

hence, the image is P'( 12, 1).

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What are the origins of matrices?

Answers

Answer: The origins of matrices can be traced back to the 18th century, with the work of mathematicians such as Gabriel Cramer, Leonhard Euler, and Joseph-Louis Lagrange. These mathematicians developed the idea of using arrays of numbers to represent systems of linear equations, which led to the development of the concept of matrices.

The term "matrix" itself was first used by James Joseph Sylvester in 1850, although it had been in use informally for some time before then. In 1858, the English mathematician Arthur Cayley first published a systematic theory of matrices, which further developed the field.

Matrix theory was primarily used in the early days to solve systems of linear equations, but it soon found applications in areas such as linear algebra, multivariate statistics, and even quantum mechanics.

In summary, the origins of matrices can be traced back to the 18th century as an idea to represent systems of linear equations, which developed over time with contributions of many mathematicians over the centuries, and now it plays an important role in many field of mathematics and science.

Step-by-step explanation:

a) calculer: f(1,5); f(2,5); f(2)

Answers

Answer:

Step-by-step explanation:

you should give the function, if i haven't it, how can i help you.

i can give u some tips, put 1.5, 2.5, 2 in function respectively. then calculate them, u will get the answer.

Solve 7 cos(2x) = 7 cos² (x) - 4 for all solutions

Answers

value of x for all solution is  49.11° or 50° and  230°

Which trigonometry topics should I learn first?

Before mastering trigonometry, you should have a working knowledge of algebra and geometry. You ought to be able to work with algebraic expressions and equations without any trouble. The Pythagorean theorem, similar triangles, and a few other concepts from geometry should be familiar to you, but not a lot.

7 cos(2x) = 7 cos² (x) - 4

7 cos² (x) - 7 (2cos² (x)-1)- 4=0

7 cos² (x)- 14 cos² (x)+7-4=0

cos² (x)= 3/7

range given from 0 to 360°.

x=49.11° or 50° and  230°

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4-56 Determine the magnitude of the moments of the force F about the x. y, and z axes Solve the problem (a) using a Cartesian vector approach and (b) using a scalar approach

Answers

(a) As of the Cartesian vector approach, Moment about axes are [tex]M_x = 13\ Ft-lb[/tex], [tex]M_y = 4\ Ft-lb[/tex] and [tex]M_z = 36\ Ft-lb[/tex].

(b) Using a scalar approach, Moment about axes are [tex]M_x = 13\ Ft-lb[/tex], [tex]M_y = 4\ Ft-lb[/tex] and [tex]M_z = 36\ Ft-lb[/tex].

What is a vector?

Vector is defined as the quantities that have both magnitude and direction is called a vector quantity and the nature of the quantity is called a vector.  

here,
[tex]\vec F = 4 \hat i + 12\hat j -3 \hat k\\ \vec B = 4 \hat i + 3\hat j - 2 \hat k\\[/tex]

Scalar approach,
moment about the x-axis is given by,
[tex]M_x = B_yF_z - ZF_y\\M_x = 3(-3)-(-2)(12)\\M_x = 13\ Ft-lb[/tex]

Similarly,
[tex]M_y = 4\ Ft-lb,[/tex] and [tex]M_z = 36\ Ft-lb[/tex]

Vector approach,
Moment about the x-axis is given by,
[tex]M_x = U_x \times[ {\vec B \times \vec F]}\\M_x = \left[\begin{array}{ccc}1&0&0\\4&3&-2\\4&12&-3\end{array}\right][/tex]

The above expression given is of determinate, when solving the above determinate,
[tex]M_x = 13\ Ft-lb[/tex]

Similarly,
[tex]M_y = 4\ Ft-lb[/tex] and [tex]M_z = 36\ Ft-lb[/tex],

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Find the range of values of k for which the equation 4x² + 12x + k = 0 has no real roots.

Answers

Hello there!

Answer:

[tex](9, +\infty)[/tex]

Step-by-step explanation:

It has no real roots only if

[tex] \sqrt{b {}^{2} - 4ac } [/tex]

has no roots. That means that b² - 4ac is smaller than 0:

[tex]b {}^{2} - 4ac < 0 \\ 12 {}^{2} - 4 \times 4 \times k < 0 \\ 144 - 16k < 0 \\ 144 - 144 - 16k < - 144 \\ - 16k < - 144 \\ k > 9 \\ k \: \: \: in \: \: \: (9, +\infty)[/tex]

we can approach this from the standpoint of the discriminant, if the discriminant is negative then we only get complex roots or namely "imaginary" solutions or values, well, let's check before that happens, when the discriminant is 0.

[tex]\qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ y=\stackrel{\stackrel{a}{\downarrow }}{4}x^2\stackrel{\stackrel{b}{\downarrow }}{+12}x\stackrel{\stackrel{c}{\downarrow }}{+k} ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} 0&\textit{one solution}\\ positive&\textit{two solutions}\\ negative&\textit{no solution} \end{cases}[/tex]

[tex]0=(12)^2 - 4(4)(k)\implies 0=144-16k\implies 16k=144 \\\\\\ k=\cfrac{144}{16}\implies k=9\hspace{5em} \stackrel{if~k > 9\textit{, then we land on negative territory}}{{\Large \begin{array}{llll} k > 9 \end{array}}}[/tex]

19,22,25,28 the 11nth term

Answers

Answer:

31 hecause the èattern is adding 3

Step-by-step explanation:

Factor the expression y^2+8x+12

Answers

Answer: y^2+8x+12

Step-by-step explanation:

Visually estimate the location of the centroid of the region shown. Then find the exact coordinates of the centroid.
y=49-x², y = 0

Answers

Therefore exact coordinates of Centroid  = (0,3/2)

Define Centroid.

The centroid of a flat figure or solid figure, also known as the geometric center or center of figure, in mathematics and physics, is the arithmetic mean position of all the points on the figure's surface. Any n-dimensional Euclidean object is included by the same definition.

What is Triangle?

A polygon having three edges and three vertices is called a triangle. It is one of the fundamental geometric forms. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

This region is a parabola opening downward, with vertex at (0, 49) and a range of y values from 0 to 49. The region is symmetric about the y-axis, This means that the x-coordinate of the centroid is at 0.

To find the y-coordinate:

Integral from -√(49) to √(49) of (49-x²) x dx = [x²(49-x²)/3] from -√(49) to √(49) = (492√(49))/3 = (98√(49))/3

The area is integral from -√(49) to √(49) of (49-x²) dx = [x(49-x²)/2] from -√(49) to √(49) = (49*(2√(49)) - (2/3)(49^(3/2)))/2 = (49*(2*√(49)) - (98√(49))/3)/2

Therefore Centroid = (0, (98√(49))/(49*(2*√(49)) - (98√(49))/3)) = (0,3/2)

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PLEASE HURRY BE FAST
A fishing map is laid out on a coordinate plane with each unit equal to 1 mile. The boat is launched from the point (−3, 0) and goes to point (−3, 3) to fish. From there, the boat travels to (0, 0) to fish and then goes back to the launch point.

Determine the total number of miles traveled. Round to the nearest mile.

3 miles
6 miles
10 miles
24 miles

Answers

Answer:

24 miles

Step-by-step explanation:

each distance between points is 6.

6+6+6+6=24 miles

To prevent deer from running across highways, researchers are investigating sound-emitting devices that would frighten deer before they reach the highway. As part of the investigation, the researchers set up 20 devices along a two-mile stretch of road. When a deer approached a device, the device would activate and emit a sound. The researchers recorded whether the deer moved toward the highway (positive response), away from the highway (negative response), or did not move (neutral response).

The researchers kept the loudness of the sound constant at 60 decibels. However, they varied the pitch of the sound. There were 6 treatment levels, all measured in kilohertz (kHz): 0, 0.28, 1, 8, 15, and 28. The order of the treatments was randomly assigned.

(a) The control in the experiment was 0 kHz, or no sound. What information is gained by using the control with no sound that could not be obtained if no control were used?
(b)(i) What is one advantage to keeping the loudness at a constant 60 decibels for all treatments?

(b)(ii) What is one disadvantage to keeping the loudness at a constant 60 decibels for all treatments?

(c) The results of the experiment are shown in the following bar chart.
Based on the results, would you recommend using a sound-emitting device to keep deer from running across highways? Explain your answer.

Answers

Answer: a) The control in the experiment, 0 kHz, or no sound, serves as a baseline against which to compare the other treatments. By using the control with no sound, researchers can determine whether the deer's response to the sound-emitting devices is due to the sound itself or some other factor. Without the control, it would be unclear what caused any differences in the deer's responses to the different sound treatments.

(b)(i) One advantage to keeping the loudness at a constant 60 decibels for all treatments is that it allows researchers to directly compare the deer's responses to the different sound pitches without the added variable of loudness.

(b)(ii) One disadvantage to keeping the loudness at a constant 60 decibels for all treatments is that loudness may also play a role in deer's response. So, it would be unclear if the different in deer's responses are due to sound frequency only or also caused by sound loudness

(c) Based on the results shown in the bar chart, it can be seen that the deer's response to the sound-emitting devices varies depending on the pitch of the sound. At lower pitches, around 0.28 kHz, the deer's response is more likely to be negative or neutral, indicating that they move away from or don't move towards the highway. At higher pitches, around 15 kHz, the deer's response is more likely to be positive, indicating that they move towards the highway. It suggests that the frequency of sound has an impact on the deer's response. So, based on this data, we cannot recommend using a sound-emitting device to keep deer from running across highways without further research on the optimal frequency and loudness that should be used to make sure that it is effective and safe for the deer.

Step-by-step explanation:

Final answer:

The sound-emitting device may have both advantages and disadvantages depending on the pitch. More research is necessary to find the optimal frequency and volume for the device to be effective and safe.

Explanation:

Based on the results of the experiment, it would not be advisable to use a sound-emitting device to prevent deer from running across highways without further research. The experiment showed that the deer's response varied depending on the pitch of the sound. Although the device showed some advantages, such as moving deer away from the highway at lower pitches, it also presented potential disadvantages. At higher pitches, the deer had a tendency to move towards the highway, which could increase the risk of accidents. More research would be needed to determine the optimal frequency and volume to use for the device to be both effective and safe for the deer.

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can anyone help me out with this question

Answers

Answer:

[tex] \sf \: b) \: 45[/tex]

Step-by-step explanation:

The values given are,

→ u = 7

→ d = 10

→ e = 3.2

Now the expression is,

→ 15(d - u)

Evaluating the expression,

→ 15(d - u)

→ 15(10 - 7)

→ 15 × 3

→ 45

Hence, option (b) is correct.

Answer:45

Step-by-step explanation:

15(10-7)

15(3)

multiply and get 45

1.) The acceleration of a particle moving along the x-axis at time t is given by a(t) = 6t-2. If the position is 10 when
t= 1, then which of the following could be the function for position x(t) = ?

Answers

The function for position x(t) could be x(t) = 3t^2 - 2t + 10.

What is function?

In mathematics, a function is a relation between two sets that assigns to each element of the first set exactly one element of the second set. In other words, it is a rule that describes how one set of values is related to another set of values. Functions are used to model real-world scenarios and to solve mathematical problems. Examples of functions include linear equations, polynomials, and trigonometric functions.

This is determined by using the equation x'(t) = a(t). Differentiating both sides of the equation, we get x'(t) = 6t - 2. Integrating this equation, we get x(t) = 3t^2 - 2t + C, where C is the constant of integration. Since x(1) = 10, we can substitute this value into the equation and solve for the constant of integration. Therefore, we get x(t) = 3t^2 - 2t + 10.

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type an (x,y) ordered pair to put a point on this line.​

Answers

The ordered pair (x, y) for the given line can be obtained from the graph as (-4, 1).

What is the equation for a straight line?

A straight line can be written in the form of an equation as, y = mx + c.

Two straight lines intersect each other only at one point.

When two straight lines are parallel to each other the angle between them is zero.

The graph of the line is given.

In order to find the coordinate of a point do as follows,

Draw a perpendicular line from any point on the line to the x-axis.

The intersection of this line with the x-axis will give the x-coordinate.

Similarly, find the y-coordinate by drawing a perpendicular line to the y-axis.

Applying the above procedure, a point is obtained as (-4, 1).

Hence, the ordered pair for the line shown in the graph is (-4, 1).

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Please help me solve

Answers

[tex]~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill[/tex]

[tex](-6x^3 y^5 + 11x^3 y^2) \div (-2x^2 y^3)\implies \cfrac{-6x^3 y^5 + 11x^3 y^2}{-2x^2 y^3} \\\\\\ \cfrac{-6x^3 y^5}{-2x^2 y^3}+\cfrac{11x^3 y^2}{-2x^2 y^3}\implies \cfrac{-6}{-2}\cdot \cfrac{x^3 y^5}{x^2 y^3}+\cfrac{11}{-2}\cdot \cfrac{x^3 y^2}{x^2 y^3} \\\\\\ 3\cdot x^3 x^{-2}y^5 y^{-3}+\cfrac{11}{-2}\cdot \cfrac{x^3 x^{-2}}{y^3 y^{-2}}\implies 3x^{3-2}y^{5-3}-\cfrac{11}{2}\cdot \cfrac{x^{3-2}}{y^{3-2}} \\\\\\ ~\hfill {\Large \begin{array}{llll} 3x y^2 -\cfrac{11x}{2y} \end{array}}~\hfill[/tex]

what is the domain of y=2(x+1)-(3x-2)​

Answers

Answer:

Domain is all real numbers (basically any number)

Step-by-step explanation:

Step 1: Simplify the expression first

y = 2(x+1)-(3x-2)

y = 2x + 2 -3x + 2

y = -x + 4

Step 2: Observe the graph

y = -x + 4 is simply a linear graph with a negative fixed gradient of -1, with a y-intercept of 4.

Step 3: Identify the domain

For linear graphs, domain is all real numbers.

(No restrictions on the graph according to question)

Please help with homework

Solve

2(x+4)=3(-2+x)

Answers

Answer:

x = 14

Step-by-step explanation:

2(x + 4) = 3( -2 + x)  distribute the 2 and the 3.

2(x) + 2(4) = 3(-2) + 3(x)

2x + 8 = -6 + 3x  Subtract 2x from both sides

2x - 2x + 8 = -6 +3x -2x

8 = -6 +x  Add 6 to both sides

8 + 6 = 6 - 6 + x

14 = x

A rope 15 inches long has been divided into the greatest possible number of pieces in such a way that each piece has a different length, and each of these lengths in inches is expressed by a whole number. How many cuts were made?

A.3
B.4
C.5
D.6
E.7

Answers

Answer:

Below

Step-by-step explanation:

1+2+3+4+5 =15       5 lengths will require   4 cuts

A line passes through the point (-10,1) and has a slope of 3/2. Write an equation in point-slope form for this line.

Answers

The line passes through the point (-10,1) and has a slope of 3/20 has the equation as: y - 1 = 3/2 (x + 10)

How to write the equation of the line

The general form of a linear equation is y - y₁ = m (x - x₁).

It draws attention to the line's slope and one of the line's points (that is not the y-intercept)

The point slope formula is given by y - y₁ = m (x - x₁), where:

y = output value

y₁= the given y coordinate point

m = slope

x = input value

x₁ = the given x coordinate

substituting the point (-10,1) and slope 3/2

y - y₁ = m (x - x₁)

y - 1 = 3/2 (x + 10)

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While taking a hike 80% or 20 of the participants wore hiking boots. How many participants were on the hike?

Answers

20 beacuse you need hiking boots to hike

Answer:

25

Step-by-step explanation:

let x = # of participants on the hike

(.80)x = 20

x = 20/0.80 = 25

WHAT IS THE RECIPOCAL OF 6/5

Answers

Answer: 5/6

Step-by-step explanation:

The reciprocal of a number is 1 divided by that number. The reciprocal of 6/5 is 5/6.

Answer:

5/6

Step-by-step explanation:

Well to find a fraction's reciprocal all you need is to flop it like this

6/5 => 5/6

so 5 takes the place of 6 and 6 takes the place of 5

that's how 6/5 turns into 5/6

hence, the reciprocal is 5/6 .
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a nurse is reinforcing teaching with an older adult client who has osteoporosis. which of the following instructions should the nurse include in the teaching?take calcium supplements with meals*take calcium carbonate supplements with or following meals to increase absorption and effectiveness.Other considerations:-weight-bearing exercises-recommend that the client perform weight-bearing exercises, such as walking, or low-impact aerobic exercises, three to four times per week to promote bone formation. Swimming is not a weight-bearing exercise.-Take Vit D - to improve calcium absorption If G-H-I, and if GH = 2x - 9 , HI = 14 , and GT = 3x - 8 , then find GI. Yoshi is standing on top of a building, looking at a park in the distance. The angle of depression is53. If the building he's standing on is 100 feet tall, how far away is the park to the nearesthundredth of a foot?10553Park For each set of values for a and b evaluate the given expressions and record your answers in the table. ( I only need this one). A = -1/2 B =6A divided by -bPLEASE HELP If the formula for the reorder point is lead time X maximum daily usage, and given the information below; what would be the reorder point Graph the following linear function. f(x)= 5/2x+5 FIRST TO ANSWER GETS BRAINLIEST!! Melanies bank account balance is . She needs to pay $55 to her cell phone carrier and $80 to the landscaper. She also expects $250 from her sister to be added to her account.(a) Write an expression Melanie can use to determine her bank account balance after paying these bills and receiving money from her sister. (b) What is Melanies bank account balance after paying her bills and receiving money? Show any necessary work. Answer in a complete sentence. The Barker family just left the local pet store with Lucky, their new family dog. The pet store owner told the Barker family that for the next 6 months, Lucky would grow at an average rate of 9 pounds per month. Currently, Lucky is 2 months old and weighs 3 pounds. Age, in months 2 3 4 5 6 7 8 Weight, in pounds 3 at 2 months old Part A: Complete the given table that represents Lucky's current weight, in pounds, as a function of his age, in months. Part B: Graph the data in the table from Part A. Be sure to label the graph and all data points. Part C: Create a linear model that represents the Lucky's current weight, in pounds, as a function of his age, in months. Part D: If Lucky continues to grow at the rate of 9 pounds per month beyond the expected six months, how much will Lucky weigh by the time he is one year old? Why would Web citation 1 be a more useful source of evidence for an essay about the effects of violent video games onyoung people than Web citation 2?Because Web citation 1 (2005) was published more recently than Web citation 2 (1996) it would more likely be used by scientists whoare less interested in the long-lasting effects of video game use.Because Web citation 1 was published outside the U.S. and is cited by a company whose mission is to accelerate the world'sresearch it is a more favorable source than Web citation 2 which is cited from an online library with a goal of providing world accessto scientists's files.Both are cited in an online open encyclopedia (Wikipedia) article about the California law designed to fine video game vendors;however, Web citation 1 includes an excerpt from the full article while Web citation 2 includes only a summary of the article.Web citation 1 contains information that reviews the physical effects of playing video games while Web citation 2 is limited to theeffects on users' self-esteem.NEXT QUESTIONASK FOR HELPTURN IT IN what is the mole fraction of ethanol c2h5oh in an aqueous solution in which the ethanol concentration is 4.6 molal Why are tax policies that cut taxes called trickle-down economics?1. because the benefits are supposed to filter down to workers2. because the benefits become less pronounced at every level3. because the benefits are intended to help only the wealthy4. because the benefits quickly cause a positive effec Marlena is putting together a focus group to obtain feedback on the new juice product her company plans to launch next year. A focus group is a type of research. (Qualitative or Quantitative) write a linear equation that passes through the points (2,-7) and (4,-9) and has a slope "-5" Which step in photosynthesis does not need light? PLEASE ANSWER ASAP IF YOU CAN!!! This is due soonWhen should you use the title of the original text as the title of a found poem?when you cannot think of a different title for the poemwhen the original title suggests something newwhen no lines in the found poem sound like a titlewhen the original title sounds like the title of a poem Write a system of equations modeling the given conditions. Then solve the system by the substitution method and find the two numbers. The sum of two numbers is 71. One number is 27 more than the other. Find the numbers. D Let x be the smaller number and y be the larger number. Write an equation that represents the fact that the sum of the numbers is 71. =71 (Simplify your answer.) Suppose that consumers become more pessimistic about the economy. This causes the price level to decrease as represented by the GDP deflator dropping to 98. Nominal GDP also decreases to $28,000. What is real GDP What effect would cyanide have on the electron transport chain ? What is the symbol for and in logic? A patient presents with malaise, a fever, and joint pain. If a systemic lupus erythematosus (SLE) diagnosis is being considered, which additional assessments should the nurse perform