Determine the values of y in the equation y2 = 144.

a. y = ±12
b. y = ±72
c. y = 12
d. y = 72

the leters c and d are correct for this equation

The description of the intercepts of the Graph segments passing through the points (0, 4), (4, 8), (4, 8) and (8, 0) is given by the option;

A velocity time graph is a graph that shows how the velocity of an object changes with time

The given information on the graph are;

The coordinates of the points on the Graph of the first line segment = (0, 4) and (4, 8)

On Graph of the second line segment, the coordinates of the points = (4, 8), (8, 0)

The label of the axis of the graph are;

X–axis label = Time in seconds (s)

Y–axis label = Velocity in m/s

Required; The option that gives the description of the intercepts of the graph

Solution; The x and y–intercept are given as follows;

At the x–intercept the y–value is 0, which gives the x–intercept of the graph as the point (8, 0)

Given that the y–value which is the value of the velocity, is 0, it means that the runner stops at the point (8, 0), or after 8 seconds

At the y–intercept, the x–value is 0. The y–intercept is therefore the point (0, 4)

The 0 in the y–intercept means that the time is 0 seconds, which is the starting or initial time, while the 4 means that the velocity is 4 m/s.

Therefore, the y–intercept (0, 4) can be described as the initial velocity of the runner is 4 m/s

The description of the intercepts on the graph are therefore;

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Answer:

The initial velocity of the runner was 4 m/s, and the runner stopped after 4 seconds and then again after 8 seconds. Option A is the correct answer

Step-by-step explanation:

The intercepts on the graph can be described as follows:- The y-intercept is the point at which the line intersects the y-axis, and it represents the initial velocity of the runner. In this case, the y-intercept is at (0, 4), which means that the initial velocity of the runner was 4 m/s.- The x-intercept is the point at which the line intersects the x-axis, and it represents the time at which the runner stopped. In this case, there are two x-intercepts: one at (4, 8) and another at (8, 0).
This means that the runner stopped twice, once after 4 seconds and again after 8 seconds.

Therefore, the correct description of the intercepts on the graph is: The initial velocity of the runner was 4 m/s, and the runner stopped after 4 seconds and then again after 8 seconds. Option A is the correct answer.

Given

Which of the following is NOT equivalent to the formula d=rt?

Procedure

A. d/r=t is equivalent d=rt

B. r=dt is not equivalent

C. d/t=r is equivalent d=rt

D. d/rt=1 is equivalent d=rt

The answer is option B. r=dt that is NOT equivalent to the formula d=rt

Answer:

After 30 weeks me and my sister will have same amount of money

Step-by-step explanation:

let the week be x

then

60+7x = 120+5x

2x=60

x=30

A number line and expression show how to find the distance from 4 to 1 is: B. A number line from -5 to 5 and two points on 1 and 4.

A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numbers (numerical values) that are placed at equal intervals along its length.

This ultimately implies that, a number line can be used to determine the difference between two numbers such as 4 and 1. Also, a number line typically increases in numerical value towards the right and decreases in numerical value towards the left.

In this context, we can reasonably infer and logically deduce that number line C shows the distance from 4 to 1.

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it x/383

i myself i dont even knkw hownto do this brk i just want points so please dont listen to this try you hardest dont give up and keep looking for others but i just want sum piote bro i gotta finish my ezam too man so good luck tho.

Answer:

the value of x is -6

Step-by-step explanation:

1-3x= 3x+1

-3x -3x =1-1

-6x=0

-x=6

x= -6

Answer:

You add similar  fraction by adding the numerators together but since the denominators are the same u keep them as they are

1. Similar fractions are those which have the same denominator. To change dissimilar fraction to similar fractions, you express them as a equivalent with a common denominator. For example 2/12, 3/12

2. To add similar fraction one should ensure that both the numerator are same and then add the numerator and put that on the denominator. If there is need to simply the fraction then you should first simplify the fraction.

For example:- 1/4+4/4= 5/4

Here as we see that bot number denominator are same so it's addition is done easily

Answer: 94.2

Step-by-step explanation:

C = 2 πr

C = 2 x 3.14 x 15

C = 30 * 3.14

C = 94.2

Answer:

the top right graph

Step-by-step explanation:

I assume you mean the function is

f(x) = sqrt(x + 4) - 2

because for your function as you wrote it

f(x) = sqrt(x) + 4 - 2 = sqrt(x) + 2

none of the graphs apply.

to find the correct one we look at some specific points.

like x = 0, and when the square root will be 0 (x = -4).

normally we can see the right graph latest here already, but if not, then we have to pick a few more points.

so,

for x = 0 we get

sqrt(0 + 4) - 2 = 2 - 2 = 0

that means

f(0) = 0

now, when we look at the graphs, we see we are already finished. there is only one graph that goes through (0, 0).

the top right graph.

The equation of the line that passes through these coordinates is 3x-4y= 36

If you have the coordinates of two points on a line, you can use the slope formula to determine that line's slope. m=(y2-y1)/(x2-x1), or the ratio of the change in the y values to the change in the x values, is the slope formula.

To find the equation of the line we first have to find the slope which is represented by m.

The slope or m is given by : y₂ - y₁ / x₂ - x₁

thus, m= 3-(-12)/ 16-(-4)

m= 3+12/ 16+4 = 15/20

m= 3/4

The equation of a slope is y-y₁=m (x-x₁)

y- (-12) = 3/4 (x- (-4))

y+12 = 3/4 (x+4)

On solving it further we get:

4y+48= 3x+12

3x-4y= 36

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Simple interest earned on the principal amount $10,000 for 5 years at 4% interest per year will be $12,000.

As given in the question,

Simple Interest:

The simple interest is an amount that is paid for loan or borrowed money over a certain period at a fixed percentage of borrowed money.

Principal amount:

Principal amount is the money that is taken as loan or borrowed.

Formula of Simple Interest:

Simple interest = Principal amount × Rate × Time

Since,

Principal amount = $10,000

Rate = 4% per year

Time = 5 years

Then,

Simple interest = 10,000 × 4 × 5

Simple interest = $ 12000

Total value after 5 years = $ 12000

Principal amount = $ 10000

Interest Earned = (Total value) - (Principal amount)

Interest Earned = $ 12000 - $ 10000

Interest Earned = $ 2000

Therefore, simple interest earned on the principal amount $10,000 for 5 years at 4% interest per year will be $12,000.

The complete question is:

Fabian is taking out a loan in the amount of $10,000. His choices for the loan are a 5-year loan at 4% rate of interest .What is the amount of simple interest and interest earned Fabian would have to pay?

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The value of the sine of ∠F to the nearest hundredth is 0.72

A triangle is a figure that has 3 sides and angles. Given the following parameters;

∠H=90°

GF = 29

FH = 20

HG = 21.

Using the SOH CAH TOA identity;

sin theta = opposite/hypotenuse

sin ∠F = HG/GF

Substitute the given parameters

sin ∠F= 21/29

sin ∠F = 0.72

This gives the required value of sin ∠F to the nearest hundredth

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The simplified solution for B in the equation -4 ( - 6 - b) = 1/3 (B + 16) is B = 56 + 12b

Given,

The equation: - 4 (- 6 - b) = 1/3 (B + 16)

We have to simplify the equation and find B.

Lets simplify:

-4 ( - 6 - b) = 1/3 (B + 16)

Here,

(- 4 × - 6) - 4 × - b = 1/3 × B + 1/3 × 16

24 + 4b = B/3 + 16/3

24 + 4b = (16 + B) / 3

Multiply 3 to both sides:

(24 + 4b) × 3 = (16 + B) × 3 / 3

72 + 12b = 16 + B

Add -16 to both sides:

72 + 12b - 16 = 16 + B - 16

Then,

B = 72 + 12b - 16

B = 56 + 12b

That is, the simplified solution for B in the equation -4 ( - 6 - b) = 1/3 (B + 16) is B = 56 + 12b

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Interpolation is the process of foretelling the value of a function f at a location inside the observed range of values for and. Predicting the value of y when it is outside the range indicated by the points and areas where the values and have been observed is known as extrapolation.

The values for two different numerical variables are represented by dots in a scatter plot (also known as a scatter chart or scatter graph). Each dot's location on the horizontal and vertical axes represents a data point's values. To view relationships between variables, utilize scatter plots.

Interpolation is the process of foretelling the value of a function f at a location inside the observed range of values for and. Predicting the value of y when it is outside the range indicated by the points and areas where the values and have been observed is known as extrapolation.

For an independent variable that lies outside the range of our data, we use function to forecast the value of the dependent variable. We extrapolate in this situation.

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Answer:

Sample Answer: An interpolation has a result which lies within the scatterplot’s cluster of data points. An extrapolation lies outside the cluster. An interpolation is more reliable than an extrapolation.

Step-by-step explanation:

Answer:

Answer is in fraction.--> 1/289.

Step-by-step explanation:

[tex]17^{-7} =17^{-7+5}=17^{-2} =\frac{1}{17^{2} } = \frac{1}{289}[/tex]

Answer:

128m²

Step-by-step explanation:

separate the two solids.The cube and the cuboid

find the volume of the cube i.e.5³=115m²

find the volume of the cuboid i.e 1×1×3=3m²

add the two volumes

Answer:

128m²

Explanation:

Add all volumes, 5+5+4+6+3, then times that by the volume below.

Answer:

Step-by-step explanation:

The one in blue

Answer:

B

Step-by-step explanation:

The coordinates of the point of intersection is equal to (3, 5).

In Mathematics, a point of intersection can be defined as the location on a graph where two (2) lines intersect, meet, or cross each other, which is typically represented as an ordered pair containing the point, x-axis and y-axis.

Next, we would solve the given equations simultaneously to determine the coordinates of the point of intersection as follows:

y = 1 - 2x

y = x - 5

Re-arranging the equation, we have:

y + 2x = 1

y - x = -5

Subtracting, we have:

3x = 6

x = 6/2

x = 3.

For y-coordinate, we have:

y + 2x = 1

y + 2(3) = 1

y + 6 = 1

y = 1 - 6

y = -5.

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The value of x that makes the equation true is 60/7.

The given equation is:-

4x - 2 + 3x - 7 = 51

The given equation is a linear equation in one variable.

Linear equation in one variable

A linear equation in one variable is of the form of ax + b = 0, where a and b are any two integers and x is an unknown variable having only one solution. Example : 5x + 3 = 10.

We have to find the value of x that makes the equation true.

Simplifying the given equation, we get

(4x + 3x) - (2 + 7) = 51

7x - 9 = 51

7x = 51 + 9

7x = 60

x = 60/7

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Answer:

x = 37 , ∠ P = 17° , ∠ Q = 126° , ∠ R = 37°

Step-by-step explanation:

the sum of the 3 angles in Δ PQR = 180°

sum the 3 angles and equate to 180

x + x - 20 + 3x + 15 = 180

5x - 5 = 180 ( add 5 to both sides )

5x = 185 ( divide both sides by 5 )

x = 37

Then

∠ P = x - 20 = 37 - 20 = 17°

∠ Q = 3x + 15 = 3(37) + 15 = 111 + 15 = 126°

∠ R = x = 37°

The system of inequalities that models the situation is given as follows:

Before we build the inequalities, we have to consider that the variables of the system are given as follows:

Jeremy and his dad worked at least 85 combined hours last week, hence the first inequality is:

x + y ≥ 85.

They collected a total of more than $1000 by charging $20 per hour, hence the second inequality is:

20x + 20y ≥ 1000.

20(x + y) ≥ 1000.

The minimum number of hours that each can work is of 0, that is, they cannot work a negative number of hours, hence the constraints are:

The problem is incomplete, and it asks for the system of inequalities that models the situation.

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Answer:

Well, if we consider [tex]r[/tex] as y and [tex]q[/tex] as x.

Step-by-step explanation:

So, typically, a linear function is either represented using function notation

[tex]f(x)=mx+b[/tex]

Or in slope-intercept form

[tex]y=mx+b[/tex]

This question is oddly using the variables r and q in place of y and x. If we replace them to be y and x, it will be a linear equation (because the slope is constantly changing).

But, if you aren't allowed to replace r and q to be y and x, then it isn't a linear function.

For the given trigonometric function y =16sin1/2 x the graph shows the amplitude of 16 ,  graph of exactly one cycle is with period 4π , with no vertical and phase shift.

As given in the question,

Given trigonometric function :

y = 16sin 1/2 x

Attached graph of the given trigonometric function with

Amplitude = 16

Period = 4π

Vertical shift = None

Phase shift = none

Table for the required trigonometric function values which represent appropriate scale and graph exactly one cycle of the trigonometric function

x : 0        π        2π          3π         4π

y :  0       16        0            -16         0

Therefore,  graph of trigonometric function y =16sin1/2 x shows the amplitude of 16 ,  graph of exactly one cycle is with period 4π , with no vertical and phase shift.

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Answer: y = -6x-2

Step-by-step explanation:

y=mx+b

-2=(-6)(0)+b

b= -2

y=-6x - 2

Answer:3.76 gigabytes

Step-by-step explanation:

You subtract the 5.00 by the 1.24

A polygon with the three edges and three vertices is called a triangle. It is one of fundamental geometric shapes. The symbol for a triangle containing the vertices A, B, and C is ABC, measures of the right triangles are 35, 90 and 55.

A polygon with the three edges and three vertices is called a triangle. It is one of fundamental geometric shapes. The symbol for a triangle containing the vertices A, B, and C is ABC.

In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane (i.e. a two-dimensional Euclidean space). In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle. All the triangles are enclosed in a single plane if all of geometry is the Euclidean plane, however this is no longer true in higher-dimensional Euclidean spaces. Except when otherwise specified, this article discusses the triangles in Euclidean geometry, namely the Euclidean plane.

Which is the smallest angle, which is the right angle, and which is the third angle of the triangle are the three inner angles (A, B, C) of a right angled triangle.

sum of the interior angles of a triangle = 180

ratio 7:18:11

so

7+18+11 = 36

180 / 36 = 5

7 x 5 = 35

18 x 5 = 90

11 x 5 = 55

measures of the right triangles are 35, 90 and 55

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