In this problem, you will explore changing dimensions in circles.

a. Use a compass to draw three circles in which the scale factor from each circle to the next larger circle is 1: 2 .

Answer: me man

Step-by-step explanation:

holy god

Answer:

Step-by-step explanation:

d

The equation in point-slop form of the line line having the slope m=-1 and that contains the point (-2,3)  is y-3=-1(x+2)

Given,

The slope m = -1

The point = (-2,3)

We know the point-slope form,

[tex]y-y_{1}=m(x-x_{1})\\[/tex]

Substitute the values in the equation

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

y-3=-1(x+2)

Hence, the equation in point-slop form of the line line having the slope m=-1 and that contains the point (-2,3)  is y-3=-1(x+2)

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The equation relating T to N  is T = 560N + 750

A function is defined as an expression or rule that explains or compares the relationship between two variables - the dependent and the independent variable.

From the information given, we have that;

This is represented as;

T = A + B

Substitute the values

T = 165N + 750 + 395N

Collect like terms

T = 165N + 395N + 750

Add like terms

T = 560N + 750

Thus, the equation relating T to N  is T = 560N + 750

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Answer:

Step-by-step explanation:

15. True

16. False

17. True

18. True

Answer:

15 )true because they are opposite angles.

16) false 2 and 4 are opposite angles so should be the same value.

17 true ) because angle 4+1=180.

18 true) because the two angles make a 180 degree.

Since each input is mapped to only one output, the best description of the ordered pairs is given by:

A. both a relation and a function.

A relation represents a function if each value of the input is mapped to only one value of the output.

For a point in the format (x,y), we have that:

For this problem, the points are given as follows:

(-3, 2), (3, -10), (5, -14), (10, -24)

Each input is mapped to only one input, that is, there are no repeated values of x, hence the best description of the ordered pairs is given by:

A. both a relation and a function.

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Answer:

[tex] \sf \large \: x= \frac{−5}{2} \: and \: y = \frac{3}{2} [/tex]

Step-by-step explanation:

Let's solve your system by substitution.

y−x=4;6y+2x=4

Rewrite equations:

−x+y=4;2x+6y=4

Step: Solve−x+y=4for y:

−x+y=4

−x+y+x=4+x(Add x to both sides)

y=x+4

Step: Substitute x+4 for y in 2x+6y=4:

2x+6y=4

2x+6(x+4)=4

8x+24=4(Simplify both sides of the equation)

8x+24+−24=4+−24(Add -24 to both sides)

8x=−20

8x/8 = −20/8

(Divide both sides by 8)

x= −5/2

Step: Substitute −5/2 for x in y=x+4:

y=x+4

y=−5/2+4

y=3/2

(Simplify both sides of the equation)

We have proved that the triangle formed is scalene triangle.

It is given that latitude and longitude of three cities is given.

We have to prove that the triangle formed by the three cities is a scalene triangle.

What is a triangle ?

A triangle is a 3-sided shape. There are three sides and three angles in every triangle, some of which may be the same.

As per the question ;

The Δ formed is a scalene triangle.

Raleigh has latitude and longitude (35.82°N , 78.64°W)

Durham has latitude and longitude (35.99°N , 78.91°W)

Chapel has latitude and longitude (35.92°N , 79.04°W)

Let's represent Raleigh as R , Durham as D and Chapel as C.

Let's check it.

Using the distance formula ;

RD = [tex]\sqrt{(35.99-35.82)^2 + (78.91 - 78.64)^2}[/tex]

RD = [tex]\sqrt{( 0.17^2+ 0.27^2)}[/tex]

RD = [tex]\sqrt{0.102}[/tex]

RD = 0.32

Similarly ;

DC = [tex]\sqrt{0.07^2 + 0.13^2}[/tex]

DC = [tex]\sqrt{0.0218}[/tex]

DC = 0.15

And

RC = [tex]\sqrt{0.10^2 + 0.40^2}[/tex]

RC = 0.41

The sides are all of different lengths, so , we can conclude that this is a scalene triangle.

Thus , the triangle formed by given latitude and longitude of three cities is scalene.

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It should be noted that the value of to 3x-4will be -12.

It should be noted that this simply has to do with multiplication.

In this case we have to multiply the values that are given.

Also, it's important note that minus multiplied by plus is minus.

Therefore, (3 × -4) = -12.

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Answer:

time = 6.25 years

Step-by-step explanation:

To calculate the simple interest earned, we can use the following formula:

[tex]\boxed{I = \frac{Prt}{100}}[/tex],

where:

I = simple interest ($500)

P = principal amount ($2000)

r = interest rate (5%)

t = time (? years)

To calculate the amount of time the money must be left, we have to substitute the given values into the equation, and solve for t:

[tex]500 = \frac{2000 \times 4 \times t}{100}[/tex]

⇒ [tex]500 \times 100 = 8000t[/tex]      [Multiplying both sides by 100]

⇒ [tex]50000 = 8000t[/tex]

⇒ [tex]t = \frac{50000}{8000}[/tex]

⇒ [tex]t = \bf 6.25 \ \mathrm{\bf {years}}[/tex]

Therefore, the money must be left in the account for 6.25 years to earn $500 interest.

80 copies could be made from $32 at a local print shop.

For the given question;

$8 is cost for the 20 copies.

Then,

$8 ------> 20 copies.

Divide both side by 8.

$1 -------> 20/8 copies.

For $32, multiply both side by 32.

$32 ------->32×(20/8) copies

$32 -----> 80 copies.

Therefore, 80 copies will be prepared by the amount of $32 at the local print shop.

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Answer:

c = 110.25

(r + 10.5)²

Step-by-step explanation:

Hello!

Perfect Square Trinomial: [tex](a + b)^2 = a^2 + 2ab + b^2[/tex]

21r is basically 2 times r and b, the missing number.

The missing number, b, would be 10.5

Now c is basically b², so we just have to simplify 10.5²:

c should be 110.25 for it to be a Perfect Square Trinomial. The factored form would be (r + 10.5)².

The coefficient is defined as a coefficient is a number multiplied by a variable.

We need to define the term coefficient.

A quantity or number that is combined with a variable is known as a coefficient. The variable is often multiplied by an integer, which is then printed next to it. It is assumed that the variables with no associated number have a coefficient of 1.

For example, in the expression 6x², 6 is the coefficient of x² but in the expression 2y² + 7, 2 is the coefficient of y².

In terms of a polynomial, a series, or any other expression, a coefficient is, in other words, a multiplicative factor.

Therefore, the coefficient is defined as a coefficient is a number multiplied by a variable.

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As the sample size increases, the standard error of the mean decreases.

How does the standard error change as the sample size grows?

Standard error diminishes as sample size grows because sample means tend to cluster more closely around the genuine population mean as sample size approaches the true population size.

What grows as the sample size grows?

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Answer:

What is the probability the marble is yellow? = 1/3

The probability it is blue? = 1/3

The probability it is red? = 1/3

AnAt what rate is the amount of flour decreasing? 270- 180 90- grams per minute 2. As time increases, the amount of flour in the machine increases. Time (minutes)

y-7=-4(x-3)

find the slope first

-1-7/ 5-3= -8/2

m= -4

put the slope into the point slope formula,

y-y1=m(x-x1)

to get

y-7=-4(x-3)

Answer: m= -4 y=-4x + 19

Answer: -8

Step-by-step explanation:

An interior angle of a regular polygon has a measure of 108°. It is a 5 sided polygon known as pentagon.

What shape does the Pentagon have?

What do you call a shape with five sides?

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Based on the price to buy a baker's dozen, the money that the baker will save from buying a Baker's dozen instead of 13 individual rolls is $0.60.

The price per roll is:

= 3.60 / 6

= $0.60

The price of 13 individual rolls is:

= 0.60 x 13

= $7.80

The amount saved is:

= Price of 13 rolls - Price of baker's dozen

= 7.80  - 7.20

= $0.60

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Answer:

11.55

Step-by-step explanation:

Answer:

Step-by-step explanation:

Simplify:

31−(5−3⋅4)*2+26÷4=

31-(5-12)*2+6.5=

31-(-7)*2+6.5=

31+14+6.5=

51.5

I do not agree that the line y = -2x + 3 is perpendicular to the line x + 2y = 8.

Perpendicular lines are lines that form right angles at the point of intersection. The equation of the lines that are in perpendicular with each other have slopes that are negative reciprocal with one another.

If slope of A = a/b, and B is perpendicular to A, then slope of B = -b/a.

To check if the two given equation of the line is perpendicular with each other, get their slopes and see if they're negative reciprocal of one another.

Line 1 : y = -2x + 3

m = -2

slope of perpendicular line to line 1 = 1/2

Line 2 : x + 2y = 8 ⇒ 2y = -x + 8 ⇒ y = -1/2 x + 4

m = -1/2

1/2 ≠ -1/2

Since the negative reciprocal of the slope of the first line is not equal to the slope of the second line, then they are not perpendicular with each other.

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Answer: The answer is 15

Answer:

15 is the solution.

Step-by-step explanation:

Finding the value of expression,

→ 12 + |7 - 10|

→ 12 + |-3|

→ 12 + 3 = 15

Hence, the value is 15.

Answer:

4

Step-by-step explanation:

Since 4 is the nearest whole number in 4.197, we need to look at the number next to it.

1 is less than 5, so 4 stays the same.

The point X on AB such that the ratio is 1.25 units.

XB=AX×3

AX+XB=AB

AX+(AX×3)=AB

AX×4=AB

AX×4=9

AX=2.25

X=-1+2.25

X=1.25 units

Ratio shows how often one number is contained in another. For instance, the proportion of oranges to lemons in a bowl of fruit is eight to six if there are eight oranges and six lemons (that is, 8:6, which is equivalent to the ratio 4:3). The proportions of oranges to the overall amount of fruit are 8:14 for oranges and 6:8 (or 3:4) for lemons (or 4:7).

The quantities in a ratio can be of any form, including counts of people or things, measures of lengths, weights, or times, etc.

Hence , the Coordinate in units: (2,1.25).  In most contexts, both numbers are restricted to be positive.

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The probability that it hits region I is 15%.

Probability:

Probability means the possibility of the required event.

The formula for the probability is written as,

P(E) = n(E)/n(S)

Where,

P(E) is the probability of an required event

n(E) is the number of possible outcomes

n(S) is the total number of events.

Given,

At a carnival, the object of a game is to throw a dart at the board and hit region III.

Here we need to find the probability that it hits region I.

Consider the board was look like the following figure.

Then based on the given figure,

First, we have to find the total area of the board and the area of the required region.

And then we have to compare it to calculate the Probability.

So, the total area of the board is,

=> total area of the board = (10 + 30)(10 + 15)

=> total area of the board = 1000 in²

Now, the The area of the region I is

=> Area = (10)(15)

=> Area = 150 in²

Therefore, the probability that it hits region I is

=> P = 150/1000

=> P = 15/100

=> P = 15%

Therefore, the probability that it hits region I is 15%.

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Answer:

C. $117.88

Step-by-step explanation:

$10.25 per hour

11.5 hours worked

$10.25 * 11.5 = $117.875

round $117.875 to $117.88

C. $117.88