select the equation of the line that passes through the point (3,-1) and is parallel to the line on the graph

Answer:

the answer is 4/10

Step-by-step explanation:

Answer:

3, 12, 48, 192, ...

3, 15, 75, 375, ...

2, 10, 50, 250, ...

The monthly cell phone bill when shared data equals zero is given as follows:

$26.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The intercept of the line in this problem is given as follows:

b = 26.

Hence $26 is the monthly cell phone bill when shared data equals zero.

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Answer:

rational

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Since mAB = mCD

So

3x+9 = 11x-71

9+71 = 11x-3x

80 = 8x

So

x = 10

Now

Arc AB = 3x+9

= 3(10)+9

= 39°

The equation of tangent is,

⇒y = -1.4x + 28.8

Given that,

Centre of circle is at origin,

And it passes through (14, 7)

We know that the general equation of a circle is (x - h)² + (y - k)² = r²,

Where (h, k) is the center of the circle and r is the radius.

Since the circle passes through the point (14, 7) and has the origin (0, 0),

Now use the distance formula to find its radius,

radius = √((14 - 0)² + (7 - 0)²)

          = √(14² + 7²)

          = 221

Since the center is equidistant from (14, 7) and (0, 0),

The the midpoint of these two points:

⇒ (h, k) = ((14 + 0)/2, (7 + 0)/2)

            = (7, 3.5)

Substitute the values we found for the radius and center into the general equation of a circle,

⇒ (x - 7)² + (y - 3.5)² = 221

Now the derivative of this circle equation:

⇒ d/dx [(x - 7)² + (y - 3.5²)] = d/dx [221]

⇒ [2(x - 7) + 2(y - 3.5)] dy/dx = 0

⇒ dy/dx = - (x - 7) / (y - 3.5)

Use the point (14, 7) to find the slope of the tangent line:

⇒ dy/dx = - (x - 7) / (y - 3.5)

⇒ dy/dx = - (14 - 7) / (7 - 3.5)

⇒ dy/dx = - 1.4

Use the point-slope form of a line to write the equation of the tangent line:

⇒ y - 7 = (-1.4)(x - 14)

Simplifying this equation, we get:

⇒ y = -1.4x + 28.8

This is the required equation of tangent.

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Answer: buy all the crop tops

Step-by-step explanation:

Answer:

Well with that amount of money u should most definitely buy them, if you liked the of course

Step-by-step explanation:

I'm just saying

Answer:

6 more cupcakes.

Step-by-step explanation:

60% of 15 is 9, so 15-9 is 6.

The number of cupcakes needed to get the order to 100% is 6 cupcakes.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

60% = 9 cupcakes

Multiply 100/60 on both sides.

100/60 x 60% = 100/60 x 9 cupcakes.

100% = 5 x 3 cupcakes

100% = 15 cupcakes

Thus,

6 more cupcakes are needed.

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Answer:

The square root is 1.90

Step-by-step explanation:

Given

\(x = \sqrt{3.6}\)

Required

Find x

Express 3.6 as 36/10

So, we have:

\(x = \frac{\sqrt{36}}{\sqrt{10}}\)

This gives

\(x = \frac{6}{\sqrt{10}}\)

Rationalize

\(x = \frac{6}{\sqrt{10}}*\frac{\sqrt{10}}{\sqrt{10}}\)

\(x = \frac{6\sqrt{10}}{10}\)

Using a calculator

\(\sqrt{10} \approx 3.16\)

So, we have:

\(x = \frac{6*3.16}{10}\)

\(x = \frac{18.96}{10}\)

\(x = 1.896\)

Approximate

\(x = 1.90\)

Answer:

16 cents

Step-by-step explanation:

6 divided by 36 = 0.16666667

Answer:

y=8.50x+0.25

Step-by-step explanation:

She/he starts off with 8.50 and throughout the week she can earn 0.25 per joke. We don't know how many times a joke is made so it would be an x.

Answer:     b  8.50+0.25 divoide it by 0.25 th3n do the eqathion back words

x=3.5 and y=2.5

First, combine the equations in such a way that you can eliminate a variable. Then solve for the variable. Insert this value into one of the original equations and solve for the unknown variable.

See details:

The two considered triangles JKL and MNP are similar by the AA rule of similarity as the two angles that is ∠K = ∠N and ∠L = ∠P are there.

Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion. We denote the similarity of triangles here by ‘~’ symbol.

It is given that two triangles that are JKL and MNP are considered in which:

Now, from ΔJKL and ΔMNP, we have

∠K = ∠N (Given in the question)

∠L = ∠P(Given in the question)

Thus, by AA rule of similarity,

ΔJKL is similar to ΔMNP.

Therefore, the two considered triangles JKL and MNP are similar by the AA rule of similarity as the two angles that is ∠K = ∠N and ∠L = ∠P are there.

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Approximately 17.65% of Ana's salary is withheld for taxes.

To calculate the percentage of Ana's salary that is withheld for taxes, we need to determine the amount of tax withheld and then express it as a percentage of her net salary.

Number of hours worked per week (H) = 25 hours

Hourly wage (W) = $10

Net salary (S) = $212.50

Calculate the total earnings before taxes:

Total earnings = Hours worked * Hourly wage

Total earnings = 25 hours * $10/hour

Total earnings = $250

Determine the amount of tax withheld:

Tax withheld = Total earnings - Net salary

Tax withheld = $250 - $212.50

Tax withheld = $37.50

Calculate the percentage of salary withheld for taxes:

Percentage withheld = (Tax withheld / Net salary) * 100

Percentage withheld = ($37.50 / $212.50) * 100

Percentage withheld ≈ 17.65%

Therefore, approximately 17.65% of Ana's salary is withheld for taxes.

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The equation of the line is y = 2/3x + 1

The graph represents the given parameter

From the graph, we have the following points that can be used in our computation:

(x, y) = (0, 1) and (3, 3)

The equation of the line is then calculated using the following equation

y = (y₂ - y₁)/(x₂ - x₁) * (x - x₁) + y₁

Where

(x, y) = (0, 1) and (3, 3)

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

y = (3 - 1)/(3 - 0) * (x - 0) + 1

Evaluate

y = 2/3 (x - 0) + 1

So, we have

y = 2/3x + 1

Hence, the line equation is y = 2/3x + 1

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Answer:

216 ft

Step-by-step explanation:

you multiply 12 and 18

take father's age as x

if it is doubled i.e 2x .we get the answer as 20 less than 100 which means 100-20=80

accordingly the equation will be 2x=80

x=40

given that ,

son is 1/4 th of his father

hence ,

son = 1/4×(x)

I.e, 1/4×40 =10

Hope it helps

Using a system of equations, it is found that Alex's present age is of 10 years.

For the system, we consider that:

He is one-fourth the age of a his father, hence:

\(x = \frac{y}{4}\)

If the age of the father is doubled, it is 20 years less than 100 years, hence:

\(2y = 100 - 20\)

\(2y = 80\)

\(y = \frac{80}{2}\)

\(y = 40\)

Then:

\(x = \frac{y}{4} = \frac{40}{4} = 10\)

Alex's present age is of 10 years.

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Answer:

\(y=-\frac{4}{5}x-\frac{21}{5}\)

Step-by-step explanation:

The fastest way is to use point-slope form with \(m=-\frac{4}{5}\) and \((x_1,y_1)=(-4,-1)\):

\(y-y_1=m(x-x_1)\\y-(-1)=-\frac{4}{5}(x-(-4))\\y+1=-\frac{4}{5}(x+4)\\y+1=-\frac{4}{5}x-\frac{16}{5}\\y=-\frac{4}{5}x-\frac{21}{5}\)

To graph the line passing through (-4,-1) with slope m = -4/5, we can use the slope-intercept form of the equation of a line, which is:

y = mx + b

where m is the slope and b is the y-intercept.

Substituting m = -4/5, x = -4, and y = -1, we can solve for b:

-1 = (-4/5)(-4) + b

-1 = 3.2 + b

b = -4.2

Therefore, the equation of the line is:

y = (-4/5)x - 4.2

To graph the line, we can plot the given point (-4,-1) and then use the slope to find additional points. Since the slope is negative, the line will slope downwards from left to right. We can find the y-intercept by setting x = 0 in the equation:

y = (-4/5)x - 4.2

y = (-4/5)(0) - 4.2

y = -4.2

So the y-intercept is (0,-4.2).

Using this point and the given point (-4,-1), we can draw a straight line passing through both points.

Here is a rough sketch of the graph:

     |

     |

     |     *

     |    /

     |   /

     |  /

-----*--------

     |

     |

     |

     |

     |

The point (-4,-1) is marked with an asterisk (*), and the y-intercept (0,-4.2) is marked with a dash. The line passing through these two points is the graph of the equation y = (-4/5)x - 4.2.

After 18 years, the investment compounded periodically (quarterly) will be worth $1,230.23 more than the investment compounded annually.

Compounded interest refers to the interest system that charges interest on both principal and accumulated interest.

The period of compounding in a year determines the worth of the future value.

The future value can be ascertained using an online finance calculator as follows:

Interest periods: = 4 times yearly (Quarterly)

Principal = $5,000

Annual interest rate = 9%

Number of years: 18

N (# of periods) = 72 quarters (18 years x 4)

I/Y (Interest per year) = 9%

PV (Present Value) = $5,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $24,815.83

Total Interest = $19,815.83

Interest periods: = Annually

N (# of periods) = 18 years

I/Y (Interest per year) = 9%

PV (Present Value) = $5,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $23,585.60

Total Interest = $18,585.60

Difference in Future Values $1,230.23 ($24,815.83 - $23,585.60)

Thus, an investment compounded periodically earns more than an investment compounded annually.

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Answer: Original price = $43.10, Increase = $19.40, Final price = $62.50

Step-by-step explanation:

Let x represent the original price, then

8x(1.45) < $500

\(x<\dfrac{500}{8(1.45)}\)

x < $43.10

Increase is 0.45x

0.45($43.10)

= $19.40

Final price is Original + Increase

$43.10 + $19.40

= $62.50

The increase in price of a single piece of design is; Increase < $19.395

The new price can be represented as 145% the old price.

Let the initial price be x;

Therefore, the problem statement can be written as;

The former price is therefore 45% of $43.1;

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Answer:

63.44 feet

Step-by-step explanation:

tan(68 degrees)= 85/y  

y tan (68 degrees)=85

y=85/tan(68 degrees) ( cross multiply)

y = 34.34 feet

tan (41 degrees)=85/x+y

(x+y)tan(41 degrees)=85

x+y=85/tan 41 degrees

x=85/tan(41 degrees) - y

x= 85/tan (41 degrees)-(34.34) (cross multiply)

Therefore, Travis stepped back 63.44 feet to gain a better view!

Answer:

Minimum=60

First Quartile(Q1)=79

Median=86

Third Quartile (Q3)=89

Interquartile range (IQR)=10

The total weight of the wall and the average dead load per foot of wall length can be calculated.

The total weight of the wall can be calculated by finding the weight of the bricks and frame, then adding the weight of the glass and sash. The total weight of the wall (W) is calculated as follows:

W = (0.25*40ft*11ft)*(weight of bricks + weight of frame) + (0.75*40ft*11ft)*(weight of glass + weight of sash)

The average dead load (F) per foot of wall length is calculated by dividing the total weight of the wall by the total length of the wall (L):

F = W/L = (0.25*40ft*11ft)*(weight of bricks + weight of frame) + (0.75*40ft*11ft)*(weight of glass + weight of sash) / (40ft)

Using the tables in Hibbeler for weights of materials, the total weight of the wall and the average dead load per foot of wall length can be calculated.

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By concept of capacity and the assumption of constant flow rate, the amount of ounces of juice in the container after 6 seconds is 20 ounces.

Given that the additional juice is added to the container at constant rate. Hence, the final capacity (C'), in ounces is equal to the sum of the initial capacity (C), in ounces, and the product of the flow rate (q), in ounces per second, and time (t), in seconds.

C' = C + q · t     (1)

If we know that C = 9.5 oz, q = 1.75 oz/s and t = 6 s, then the final capacity of the container is:

C' = 9.5 oz + (1.75 oz/s) · (6 s)

C' = 20 oz

By concept of capacity and the assumption of constant flow rate, the amount of ounces of juice in the container after 6 seconds is 20 ounces.

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After analyzing, it can be concluded that the functions f and g are:

A. f(0) is larger than g(0).

B. f(3) is larger than g(3).

To determine which of the two functions is larger at any given point, one must compare the heights of the two functions at the same point on the x-axis. At point x=0, the height of the f(x) function is larger than the height of the g(x) function, so f(0) is larger than g(0).

Similarly, at point x=3, the height of the f(x) function is larger than the height of the g(x) function, so f(3) is larger than g(3).

To compare which of two functions is larger at any given point, we need to compare the heights of the two functions at the same point on the x-axis. For example, at x=0, the height of the f(x) function is larger than the height of the g(x) function, so f(0) is larger than g(0). The same comparison can be made at any other point on the x-axis.

For example, at x=3, the height of the f(x) function is larger than the height of the g(x) function, so f(3) is larger than g(3). This comparison can be done for any point on the x-axis, which will allow us to determine which of the two functions is larger at any given point.

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Answer:

10% or 5%

Step-by-step explanation:

Answer:

1. Triangles HIJ and KML

2. Triangles RST and YXZ

3. Reflexive property and Congruent Property

Step-by-step explanation:

Step-by-step explanation:

for 1 and 2 to find which ones are congruent you have to look at the lines on the angles which show congruence

The measure of the third angle of the triangle is 95°

According to the triangle theorem :

The sum of the angles in a triangle is 180° ; i.e Given a triangle A, B and C ; the sum of it's angles :

A + B + C = 180°

Hence, for a triangle with two of it's sides being ; 35° and 50°

Let the third angle = x

The third angle will be :

180° = (35° + 50° + x)

180° = 85° + x

x = 180° - 85°

x = 95°

Hence, the measure of the third angle is 95°

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