consider the three circles, where R represents the radius of each circle which statement is true?

step 1

Find the slope

we need two points

take the points (0,3) and (1,0)

m=(0-3)/(1-0)

m=-3

step 2

Find the equation of the line in slope intercept form

y=mx+b

we have

m=-3

b=3

substitute

step 3

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

m=-3

point (0,3)

y-3=-3(x-0)

step 4

standard form

AX+By=C

we have

y=-3x+3

Answer: The line parallel to y = -2x + 5 that passes through the point(1,1)

Has the same slope, m but a different y intercept (0,b)

So lets start by using the given point (1, 1) and the slope intercept form of the line to calculate b

y = mx + b

m = -2

1 = -2(1) + b

1 = -2 + b

Add 2 to both sides of the equation to solve for b

1 + 2 = b

3 = b

The line is

y = -2x + 3

Step-by-step explanation:

Answer

B) y = 3

Step-by-step explanation

Given the system of equations:

Isolating x from equation 1:

Substituting equation 3 into equation 2 and solving for y:

Answer:

y=3

Step-by-step explanation:  

Got it right :/

Answer:

look my photo. hope it can help

The relative frequency of an event is the quotient of the division between the event and the total number of the sample

From the given table

Add the numbers of males to find their total

Then add the numbers of females and males to find the total of the sample

Now, divide the number of males by the total to find the relative frequency

Round it to 2 decimal places, then

The relative frequency of the male students = 0.49

The number of beads he used to make 21 necklaces is 315 beads.

He sells jewellery online. He can make 25 necklaces from 375 beads.

This means Jared uses 375 beads to make 25 necklaces.

Yesterday he made 21 necklaces.

Therefore, the number of beads he used to make the 21 jewellery can be calculated as follows:

Hence,

25 necklaces = 375 beads

21 necklaces = ?

cross multiply

number of beads used to make the necklaces = 21 × 375 / 25

number of beads used to make the necklaces = 7875 / 25

Therefore,

number of beads used to make the necklaces = 315

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when w = 18 then z =2

take ratio,

k = 18/2

k = 9

when w =45 then z = 5

take ratio

k = 45/5

k = 9

now it is clear that the constant of proportionality is k = 2

so, the relation between w and z is

w = k z

put k = 9

w = 9z

so, the relation between w and z is w = 9z

Answer: x<2 or (−∞,2)

Step-by-step explanation:

In the picture, there is table with functions. g(x)=-f(x)

The graph of g is negative 1 times of graph of f.

Given that,

In the picture, there is table with functions.

We have to find the transformation from the graph of f to the graph g.

The table has functions with the numbers.

x values as -2,-2,0,1

Function f(x) as 4,1,0,1

Function g(x) as -4,-1,0,-1

The f(x) function we can write as

f(x)=x²

And the g(x) function we can write as

g(x)=-x²

Therefore, g(x)=-f(x)

The graph of g is negative 1 times of graph of f.

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Answer:

68

Step-by-step explanation:

Based on the location of 0 in the bottom distribution (meaning no difference in the means), the best conclusion is:

A- The distribution of differences between the sample means of each group has a mean at or near zero making it likely the two groups are not statistically different.

In mathematics, distribution describes the probability that a system or a data set will take on a specific value or set of values.

Probability distribution shows how data values are distributed.  It is also known as statistical distribution because it demarcates values into common and uncommon (left and right), making a bell-shaped normal distribution.

Thus, when there is no difference in the means, the best conclusion of the statistical distribution is Option A.

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A- The distribution of differences between the sample means of each group has a mean at or near zero making it likely the two groups are not statistically different.

B- The distribution of differences between the sample means of each group has a mean at or near 325 making it likely the two groups are not statistically different.

C- The distribution of differences between the sample means of each group has a mean at or near zero making it likely the two groups are statistically different.

D- The distribution of differences between the sample means of each group has a mean at or near 325 making it likely the two groups are statistically different.

The value of y when y = y = 0.25sin(4(x+2π))-4. and x = 2pi is -4.

Some functions (like Sine and Cosine) repeat forever and are called Periodic Functions.The Amplitude is the height from the center line to the peak (or to the trough).The Phase Shift is how far the function is shifted horizontally from the usual position.The Vertical Shift is how far the function is shifted vertically from the usual position.

We can have all of them in one equation:

y = A sin(B(x + C)) + D

amplitude is A

period is 2π/B

phase shift is C (positive is to the left)

vertical shift is D

So, for the given question we have amplitude is 0.25, period is 2π/4, phase shift is 2π, vertical shift is -4

So,

y = 0.25sin(4(x+2π))-4.

when x = 2π

y = 0.25sin(16π)-4

y = 0-4

y = - 4

Therefore,  y = 0.25sin(4(x+2π))-4, and its y - value when x = 2π is -4.

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The measure of the given polygon's angle is 2340°

Polygons are two-dimensional closed objects in geometrical mathematics where n number of line segments cross each other to generate n number of vertices. A triangle is a polygon with three sides, for instance.

In an n-sided polygon, there are n inner angles.

The total of all interior angle measurements in a polygon is always constant and is denoted by the notation "n" for the number of sides in the polygon.

the formula is ;

Sₙ = ( n - 2 ) 180°

Here in question n is given as 15

Thus Sₙ = ( n - 2 ) 180° becomes

Sₙ = ( 15 - 2) 180

13 × 180

= 2340 °

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Answer:

it is really A 156 i took the test and got an 100%

Step-by-step explanation:

The expression as a sum and/ or difference of logarithms is [tex]\frac{In8}{2} + 2 . In t + In v[/tex]

Given,

Write the expression as a sum and/or difference of logarithms with all variables to the first degree.

[tex]In\sqrt{8t^4v^2}[/tex]

Convert to exponential form

= [tex]In(8t^4v^2)^\frac{1}{2}[/tex]

Simplify using exponent rule with same exponent [tex](ab)^n = a^n . b^n[/tex]

= [tex]In (8^\frac{1}{2} . (t^4)^\frac{1}{2}(v^2)^\frac{1}{2} )[/tex]

Apply laws of logarithms to simplify the expression.

= [tex]In 8^\frac{1}{2} + In(t^4)^\frac{1}{2} + In(v^2)^\frac{1}{2}[/tex]

Express the logarithm of a power of an expression as the power times the logarithm of the expression.

= [tex]\frac{1}{2} . In8 + In(t^4)^\frac{1}{2} + In(v^2)\frac{1}{2}[/tex]

=[tex]\frac{1}{2} . In8 + \frac{1}{2} . In(t^4) + \frac{1}{2} .In(v^2)[/tex]

Multiply the monomials

[tex]\frac{In8}{2} + \frac{1}{2} . 4 . In t + \frac{1}{2} . 2 . In v[/tex]

= [tex]\frac{In8}{2} + 2 . In t + \frac{1}{2} . 2 . In v[/tex]

= [tex]\frac{In8}{2} + 2 . In t + In v[/tex]

Hence, The expression as a sum and/ or difference of logarithms is [tex]\frac{In8}{2} + 2 . In t + In v[/tex]

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The equation of the line is  y-2x= 6.

Here the problem we are dealing with is related to the slope of the line, where, a slope of a line is the alter in the y coordinate about the alter in the x coordinate. The net change in the y-coordinate is spoken to by Δy and the net change in the x-coordinate is spoken to by Δx. The equation for the slope of a straight line is given by y − y1 = m(x − x1), where m is the slope and (x1,y1) are the points that pass through it,whereas the slope-intercept form of the line is given by y = mx + b, where b is the y-intercept. Since if two lines are parallel at that point it said the slope of both those lines are equal  i.e m₁= m₂

Since it is given that the coordinates (-2,2) and the slope of the parallel to it, m=2

so the equation for the line is

=>y − y1 = m(x − x1)

=>y − 2 = 2(x +2)

=>y − 2 = 2x+4

=>y-2x= 6

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Find the eqaution of the line that passes through the coordinates -2,2 parallel to the line whose slope is -1.

The price of the lined jacket at discount heaven is 32.

To find the price of the lined jacket at the house of denim we use the rule of three.

Then the discount is:

Hence, the price of the lined jacket at house of denim is:

Therefore, the price of the lined jacket at house of denin is $31.73.

The scale factor which is being used by this drawing is 1 : 12.

A scale factor can be defined as the ratio of two (2) corresponding length of sides or diameter in two similar geometric figures such as equilateral triangles, river, planets in our solar system, etc.

Mathematically, the scale factor of a geometric figure can be calculated by using tis formula:

Scale factor = Dimension of image/Dimension of original figure

Generally speaking, an appropriate conversion factor to an equal value must be used when it is necessary to perform any mathematical conversion.

Conversion:

1 inch = 1 foot

12 inches = 1 foot

Therefore, the scale factor for this drawing is 1 : 12.

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We want to calculate the sticker price. The sticker price is given by the formula

We are told that the destination charge is 476. We should determine the base price and the options to find the price sticker.

We are told that the dealer's cost of the base price is 92% of the pase price. So we have the equation

so if we divide both sides by 92 and multiply by 100 we get

Now, applying the same principal for the options, we have

which means that

Replacing these values in the original equation we have that

so the sticker price would be 19169

The average rate of change of the function at the interval x = -3 to x = 5 has a value of (b) 0

From the question, we have the following points

Parabola going through (-3, -1) and (5, -1).

Also from the question, the interval is given as

x = −3 to x = 5

This interval can also be represented as

(a, b) = (-3, 5)

The points in the question can be expressed as

f(a) = f(-3) = -1

f(b) = f(5) = -1

The value of the average rate of change of the graph at the interval is then calculated as

Rate = [f(b) - f(a)]/[b - a]

Substitute the known values in the above equation

So, we have the following equation

Rate = [f(5) - f(-3)]/[5 + 3]

So, we have the following equation

Rate = [-1 + 1]/[5 + 3]

Evaluate the above quotient

Rate = 0

Hence, the average rate of change of function f is (b) 0

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Answer:

Step-by-step explanation:

gee girls generation

Answer:

y= -7x-11

Step-by-step explanation:

m= -7 (gradient)

b= -11 (y-intercept)

write in the form of y=mx+b

y=-7x-11

The cost of the meal before the sales tax and tip= $689

Sales tax = 8%

The family then tipped 20% on the ammount after the sales was added

PART A

The amount of the sales tax can be calculated as follows

Amount of sales tax = sales tax * the amount of the meal

Amount of sales tax = 8% x $689

Amount of sales tax = 8/100 x 689

Amount of sales tax = 0.08 x 689

Amount of sales tax = $55.12

Therefore, the amount of sales tax is $55.12

PART B

What is the total amount paid by the family after adding the tax sales and 20% tipping

The cost of the meal = $689

Amount of sales tax = $55. 12

20% tipping on the amount after the sales tax was added

Amount of the meal after the sales has been added = $689 + $55.12

Amount of the meal after the sales tax has been added = $744. 12

20% tipping of the total amount = 20% x 744.12

= 20/100 x 744.12

= 0.2 x 744.12

= $148.82

The total amount paid by the family = 689 + 55.12 + 148.82

The total amount = $892.94

Therefore, the family paid a total amount of $892.94

The solution:

Given the functions:

Required:

To find the value of g(f(4))

Step 1:

Substitute 4 for x in f(x).

Step 2:

Substitute -64 for x in g(x).

Therefore, the correct answer is 9 [option C]

Solution:

Given the graph:

Using two points on the line to find the slope, m:

Thus, the y-intercept and slope, m of the line respectively are:

we know that

The formula of simple interest is equal to

In this problem

we have

I=$170

P=$8,500

r=4%=4/100=0.04

t=?

substitute given values in the formula

therefore

0.5 years=6 months

Answer:

y = 4·0.5^x

Step-by-step explanation:

If x is increased by 1, y is multiplied by 0.5.

x | y

0 | 4

1 | 4·0.5

2 | 4·0.5·0.5

3 | 4·0.5·0.5·0.5

Answer:

  B: (3, 4, 5)

Step-by-step explanation:

You want to know which segment lengths could be used to form a triangle.

The triangle inequality requires the sum of the two short sides of a triangle exceed the length of the longest side.

A: 1+2 = 3 . . . not a triangle

B: 3+4 > 5 . . . forms a triangle

C: 1+10 < 100 . . . not a triangle

D: 1+2 < 5 . . . not a triangle

E: 1+3 = 4 . . . not a triangle

F: 1+20 < 100 . . . not a triangle

__

Additional comment

The above expression of the triangle inequality seems to be the one most commonly used in algebra and geometry courses.

The triangle inequality can also be seen to be expressed as ...

  a + b ≥ c . . . . . . where a, b, c are side lengths in any order

The "equal to" case allows triangles of zero height. (They look like a line segment.) Using that formulation, triples A and E in your answer list will also be considered to form a "triangle."

ANSWER

Amount = $3102.75

Interest = $1598.75

EXPLANATION

The annuity pays 6.6% compounded monthly.

The formula for an Amount compounded at a rate of r after t years is given as:

where P = principal (amount deposited) = $1,504

r = rate = 6.6% = 0.066

n = 12 (12 months in a year)

t = number of years = 11 years

Therefore, the amount in the account after 11 years is:

That's the amount in the account after 11 years.

This means that the amount of interest after 11 years is the amount after 11 years minus the amount that was there initially:

Interest = 3102.75 - 1504

Interest = $1598.75

Sheldon is 16 4/7 years old, while Leonard is 21 1/7.

We are given the correlations between two numbers in this sort of query, specifically the data when their ages are contrasted now and in the future.

Let x represent Leonard's age.

We can infer Sheldon's age from the question as being 4x - 68.

The following equation results from the question:

x + 12 = 2((4x - 68) + 12) - 24

Fix x,

=> x + 12 = 2(4x - 68 + 12) - 24

x + 12 = 2(4x - 56) - 24

x + 12 = 8x - 112 - 24

x - 8x = -136 - 12

-7x = - 148

x = 148 / 7 or 21 1/7

Now, simply multiply 4x by 68 to get Sheldon's age.

=> 4x - 68

=> 4 * 148/7 - 68

=> 592/7 - 68

=> 116/7 or 16 4/7

Leonard is therefore 21 1/7 years old, while Sheldon is 16 4/7.

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-5/4 can be shown as -1 1/4, and plotted on the number line as the first quarter tick past -1. Its opposite, 1 1/4, is the same way, the first quarter tick past 1.

Answer: On the plot line 5/4 is 5 tic marks passed 0 so -5/4 would be 6 tic marks before. Hope this helps

If this is wrong I am deeply sorry.