Your friend says the line y=-2 x+3 is perpendicular to the line x+2 y=8 . Do you agree? Explain.

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.

Answer: me man

Step-by-step explanation:

holy god

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

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.

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.

More can be learned about relations and functions at https://brainly.com/question/12463448

#SPJ1

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%.

To know more about Probability here.

https://brainly.com/question/15729871

#SPJ4

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:

[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)

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

Find out more on solving for cost savings at https://brainly.com/question/9617378

#SPJ1

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)

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

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.

To learn more about the coefficient visit:

https://brainly.com/question/22241464.

#SPJ1

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

Learn more about functions here:

https://brainly.com/question/25638609

#SPJ1

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?

Learn more about Standard error

brainly.com/question/13179711

#SPJ4

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.

To learn more about triangles click here ;

https://brainly.com/question/2773823

#SPJ4

Answer: [tex]\angle APC[/tex] and [tex]\angle CPB[/tex]

Step-by-step explanation:

See attached image.

The required scale factor for the small rectangle is 8.

Given that,
Rectangle a is a 2 by 4 would a be 4 by 8,
To determine the scale factor,

The scale factor is defined as the ratio of modified change in dimensions to original dimensions

Area of the rectangle = product of dimensions = length * width
Area of the former rectangle = 2 * 4

                                                = 8
Area of the later rectangle = 4 * 8 = 32
                                           
Scale factor = area of the later rectangle/area of the former rectangle
                    = 32 / 8
                    = 8

Thus, the required scale factor for the small rectangle is 8.

Learn more about line Scale factors here:

https://brainly.com/question/22312172

#SPJ1

Answer:

Step-by-step explanation:

d

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.

Learn more about multiplication on:

brainly.com/question/10873737

#SPJ1

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.

Answer:

∠ B = 166°

Step-by-step explanation:

since ∠ A and ∠ B are vertical angles then they are congruent, that is

∠ A = ∠ B

6x - 26 = 5x + 6 ( subtract 5x from both sides )

x - 26 = 6 ( add 26 to both sides )

x = 32

Then

∠ B = 5x + 6 = 5(32) + 6 = 160 + 6 = 166°

Answer:

Step-by-step explanation:

can 4 x 2/3 be 2/1 ?

2/1 = 2

solve with an equation

4 * 2/3 = 2

8/3 = 2

or

2.66666666667 = 2

the equation is false, so your answer is no

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

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.

To know more about the unitary method, here

https://brainly.com/question/23423168

#SPJ9

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?

Learn more about Pentagon

brainly.com/question/17054992

#SPJ4

Since the given expression can be factored in the form (2t+1) and (t+2) so 2t² + 5t + 2 cannot be a prime number.

A whole number greater than 1 that has no factor other than 1 and the number itself is called a prime number.

Some examples of prime numbers are 3,11,19 ... all these numbers can only be divided by 1 or the number itself so they are called prime.

In the given expression 2t² + 5t + 2 , it is said that t is positive whole number. So if t is a positive whole number then the expression can be written as another positive whole number.

Now the expression 2t² + 5t + 2  can be factored into two smaller factors.

2t² + 5t + 2

= 2t² + 4t + t + 2

= 2t (t + 2 )+1 (t+2)

= (t+2) (2t+1)

If t is a positive whole number then t+2 is a whole number and 2t+1 is another positive whole number.

Hence these two numbers are factors of 2t² + 5t + 2 . But a prime number does not have any factors.

So 2t² + 5t + 2  is not a prime number.

To learn more about prime numbers visit:

https://brainly.com/question/4184435

#SPJ9

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.

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)

Learn more about point-slope form here

brainly.com/question/24436844

#SPJ4

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.