Write an equation of the line in slope-intercept form that
passes through each pair of points.
a) (-2, -1) and (5, 13)
b) (0, -3) and (5,-5)

Answer:

$135

Step-by-step explanation:

Given data

Principal= $1,500

Time= 18 months = 1.5 years

Rate= 6%

The formula for simple interest is given as

SI= PRT/100

Substiute

SI= 1500*6*1.5/100

SI= 13500/100

SI= $135

Hence the simple interest after 18months(1.5 years) is $135

Answer:

1/12

Step-by-step explanation:

Simpliy divide 1/4 by 3

(1/4)/3=1/12

Answer:

1.6

Step-by-step explanation:

since it is 5 days and you are splitting the traik mix

divided the amount of trail mix by the day

Answer:

The answer is D

Step-by-step explanation:

We know that,

→ Area of circle = πr²

→ Area of circle = π × (6)²

→ Area of circle = π × 36

→ Area of circle = 36π

What is the area of a circle with a radius of 6 inches?

We know,

Radius = 6 inches (Given)

So, Area of circle = π(6)² = 36π in²

The area of a circle with a radius of 6 inches is 36π in².

Hence, option (c) 36π in² is correct. [Answer]

Step-by-step explanation:

First you gotta write it in standard form

y - 3 = -5(x-1)

distribute -5(x-1) = -5x + 5

y - 3 = -5x + 5

  +3           +3

y = -5x + 8

I used desmos graphing caculator to graph

Answer:

[tex]\bar x =29.7[/tex]

[tex]\sigma = 6.81[/tex]

[tex]Median = 30.5[/tex]

Step-by-step explanation:

Given

[tex]Data:20,38,24,39,27,40,28,37,29,35,30,31,32,19,33,18,34,21,36,23[/tex]

[tex]n = 20[/tex]

Solving (a): The sample mean

This is calculated as:

[tex]\bar x =\frac{\sum x}{n}[/tex]

[tex]\bar x =\frac{20+38+24+39+27+40+28+37+29+35+30+31+32+19+33+18+34+21+36+23}{20}[/tex]

[tex]\bar x =\frac{594}{20}[/tex]

[tex]\bar x =29.7[/tex]

Solving (b): The standard deviation

This is calculated as;

[tex]\sigma = \sqrt{\frac{\sum(x-\bar x)^2}{n}}[/tex]

So, we have:

[tex]\sigma = \sqrt{\frac{928.2}{20}}[/tex]

[tex]\sigma = \sqrt{46.41}[/tex]

[tex]\sigma = 6.81[/tex]

Solving (c): The median

First, sort the data in ascending order

[tex]Sorted:18,19,20,21,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,40[/tex]

The position of the median is calculated as:

[tex]Median = \frac{n+1}{2}[/tex]

[tex]Median = \frac{20+1}{2}[/tex]

[tex]Median = \frac{21}{2}[/tex]

[tex]Median = 10.5th[/tex]

The 10.5th item represents the mean of the 10th and 11th item.

So, median is:

[tex]Median = \frac{30+31}{2}[/tex]

[tex]Median = \frac{61}{2}[/tex]

[tex]Median = 30.5[/tex]

Answer:

S(t) = 4.725t + 478.25

S(t) = 4.725(42)+478.25

S(t) = 676.7

Step-by-step explanation:

In the question, score is a function of time, that means time is the x-axis, while score is the y-axis.

Order the pairs to get:

(30,620) and (70, 809)

With these values, you use the the equation [tex]\frac{x2-x1}{y2-y1}[/tex] to get the slope m.

[tex]\frac{70-30}{809-620} = 4.725[/tex]

Use this equation and input any ordered pair to get the final function.

y-y1 = m(x-x1)

y-620 = 4.725x-141.75

y = 4.725x + 478.25

Replace x with t and y with S(t) to fit the x & y axis of the question.

Answer:

D) LM=12; QP=8

Step-by-step explanation:

12/18=(x-1)/(x+3)

cross multiply

12x+36=18x-18

36+18=18x-12x

54=6x

9=x

LM = x+3 = 9+3 = 12

QP = x-1 = 9-1 = 8

9514 1404 393

Answer:

Step-by-step explanation:

A graphing calculator shows the points of interest nicely.

  The rocket splashes down after 48.0 seconds.

  The maximum height is 2833 meters above sea level.

__

The equation for the motion is ...

  h(t) = -4.9t^2 +235t +15 . . . . launch at 235 m/s from height of 15 m

The vertex (maximum height) is found at ...

  t = -(235)/(2(-4.9)) = 235/9.8 ≈ 23.980 . . . seconds

Then the maximum height is ...

  h(23.980) = (-4.9(23.980) +235)(23.980) +15 ≈ 2833 . . . meters

The value of t when h(t) = 0 can be found using the quadratic formula.

  t = (-235 -√(235² -4(-4.9)(15)))/(2(-4.9)) = (-235 -√55519)/-9.8

  t ≈ 48.023 ≈ 48.0 . . . seconds

Answer:

C

Step-by-step explanation:

Supplementary angles because their sum is 180 degrees

Answer:

f(x) = -x -3

Step-by-step explanation:

if c is a irrational number that means a or b is also an irrational number or both of them are irrational numbers but they are different then each other

i hope that will help

There are two possible answers:

You can only pick one of those two cases. In short, exactly one of the 'a' or b is irrational and the other is rational. Both 'a' and b cannot be rational together, and they both cannot be irrational together.

================================================

Explanation:

For a moment, let's say that 'a' and b are both rational numbers. This means they would be ratios of integers. So,

a = p/q

b = r/s

where p,q,r,s are integers. The denominators q & s cannot be zero.

Multiplying those rational numbers 'a' and b leads to

a*b = (p/q)*(r/s) = (p*r)/(q*s)

We get a result in the form of integer/integer. Recall that multiplying any two integers leads to some other integer. Since (p*r)/(q*s) is a ratio of integers, it is rational and that makes a*b = c to be rational. However, your teacher said that c is irrational which is the opposite of rational.

In short, if both 'a' and b are rational, then a*b = c is rational. This means we know for certain that both 'a' and b cannot be both rational for c to be irrational.

------------------------

Next, we'll consider 'a' and b to both be irrational. Is it possible to have a*b = c to be irrational as well? It depends.

If we have the following

a = sqrt(3)

b = sqrt(12)

then,

a*b = sqrt(3)*sqrt(12) = sqrt(3*12) = sqrt(36) = 6

Showing that a*b is rational because 6 = 6/1 is a ratio of integers. This is a bit strange considering how 'a' and b themselves were irrational, but they led to a rational product.

This doesn't always happen since something like

sqrt(3)*sqrt(5) = sqrt(3*5) = sqrt(15)

is irrational. So if both 'a' and b are irrational together, then a*b could be rational or it could be irrational. We would need more information about the values of 'a' and b.

Therefore, we know that we can rule out the case that 'a' and b are irrational together.

------------------------

Lastly, we'll consider the case when one of 'a' or b is rational while the other is irrational. The order doesn't matter. So we'll make 'a' to be irrational and b to be rational.

Since b is rational, this means b = p/q for some integers p,q where q is nonzero. The value of 'a' cannot be written as a ratio like this because it is irrational.

Multiplying any nonzero rational number with an irrational one always leads to an irrational result. If a*b was rational, then we could say

a*b = r/s

a*(p/q) = r/s

a = (r/s)*(q/p)

a = (r*q)/(s*p)

Showing that 'a' is rational, but this contradicts the fact we made 'a' to be irrational at the top of this section. Therefore, a*b is always irrational if exactly one of 'a' or b is irrational and the other is rational.

In other words, if,

then a*b = c is irrational

Answer: GJ= 27.23

i dont know how to explain this lol sorry but that answer is right

The length of arc GJ is equivalent to 26π/3 units.

Circumferance is defined as the length of the boundary of any two dimensional shape. Mathematically, we can write circumferance as -

C = ∫F(x) dx

Given is that in circle H with m ∠GHJ = 104 and GH = 15 units.

The length of the arc subtending an angle θ at the center is -

L = θ/360 x 2πr

L = 104/360 x 2π x 15

L = 13/45 x 2π x 15

L = 26π/3 units

Therefore, the length of arc GJ is equivalent to 26π/3 units.

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Answer:

$0.41

Step-by-step explanation:

1 ice cream cone: $2.75

2 ice cream cones: 2 * $2.75 = $5.50

7.5% of $5.50 =

= 0.075 * $5.50

= $0.4125

Answer: $0.41

Answer:

x = 11

Step-by-step explanation:

ΔLKM is an equilateral because a triangle with all 3 sides that are congruent is an equilateral triangle.

Angles in an equilateral triangle are all 60°.

Thus, ∠L = 60°.

=> 3x + 27 = 60

=> 3x = 33

=> x = 11

[tex]x=11[/tex]

Step-by-step explanation:

[tex]∠L=(3x+27)°[/tex]

Value of x.

[tex]∠L= ∠K= ∠M=(3x+27)°[/tex]

[All sides of triangle are equal]

[tex]∠L+ ∠K+ ∠M= 180°[/tex]

[Sum of all of triangle is 180°]

[tex]=>3x+27°+3x+27°+3x+27°=180°[/tex]

[tex]=>9x+81 =180°[/tex]

[tex]=>9x=180°-81[/tex]

[tex]=>9x=99[/tex]

[tex]=>x=\frac{99}{9}[/tex]

[tex]=>x=11[/tex]

Answer:

D

Step-by-step explanation:

6 and 3 can both be divided by 3, which gives u 2/1

Answer:

D. 2 cups of flour/1 cup of milk.

Step-by-step explanation:

Here's the definition of unit rate:

the ratio of two different units, with the denominator as 1. For example, kilometer/hour, meter/sec, miles/hour, salary/month, etc.

Since we need to find the unit rate, find the GCF of 6 & 3 (3). Now divide both values by 3.

(6/3)/(3/3)

2/1

The unit rate between cups of flour to cups of milk is 2:1, which is D.

Answer:

Weak Positive Correlation

Step-by-step explanation:

The r value of 0.15 indicates a weak positive correlation value because a weak correlation value is less than 0.3, anything between 0.3 and 0.7 are a moderate correlation, and anything greater than 0.7 would be a string correlation. So, since this is less than 0.3, this is a weak correlation. A positive correlation is a positive value and a negative correlation value is a negative number, so this would be a weak positive correlation value.

A value of r = 0.15 suggests a weak positive correlation, indicating a slight tendency for the variables.

As per the question, the value of r is positive (greater than 0), which suggests a positive correlation between the variables.

However, the value of 0.15 is close to 0 and relatively small, indicating a weak correlation.

This means that there is a weak tendency for the variables to increase or decrease together.

Thus, a value of r = 0.15 suggests a weak positive correlation, indicating a slight tendency for the variables to increase or decrease together, but the relationship is not strong.

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Answer:

x = 7 1/2

Step-by-step explanation:

x + 2 1/2 = 10

subtract 2 1/2 from both sides of the equation:

x = 7 1/2

Answer:

x=15/2

Step-by-step explanation:

x+2 1/2=10

x+2×2+1/2=10

x+4+1/2=10

x+5/2=10

x=10-5/2

x=15/2

decimal form: 7.5

Answer:

38.8%

Step-by-step explanation:

This is a very famous computer solution called the Monte Carlo Method. It's like throwing darts at an enlarged diagram. You will always be inside the circle.

The red triangle has an area = 1/2 h * b

The red triangle has an area = 1/2 * (2.5 + 4) * (3 + 3)

The red triangle area = 1/2 6.5 * 6

The red triangle area = 19.5

The area of the circle = pi * r^2

pi = 3.14

r = 4

The area of the circle = 3.14 * 4^2

The area of the circle = 50.24

% = (19.5/50.25) * 100

% = 38.8%

Answer:

IF THERE IS A LINK DON'T CLICK ON IT

Step-by-step explanation:

IT IS A COMPUTER TABLET AND PHONE VIRUS

Answer:

2 cans

Step-by-step explanation:

1/2 + 1/4 + 4/5 = 1.55

2 is the best answer since we know the cat eats more than 1 and a half cans so the closest thing would be 2 cans

The coordinates of vertex G are (2,0). I did this.

Step-by-step explanation:

a)U={1,3,4,5}

b)={1,3,5}

Answer:

1.83

Step-by-step explanation:

Answer:

I'm not good with models and modeling but the answer will be 1.83.

Answer:

Step-by-step explanation:

x^2 - 17x - 60

(x - 20)(x + 3)

x^2 + 3x - 20x - 60

x^2 - 17x - 60

(x + 20) is not one of the factors

using F.O.I.L., it would have been

x^2 + 17x - 60

Answer:

D) If WX = XY and XY = YZ, then WX = YZ.

Step-by-step explanation:

The transitive property states that if a=b and b=c, then a=c. So, if two different values equal to the same, separate value, then they are also congruent. The answer choice, d, represents this idea because WX and YZ both equal XY and are shown to be equal.

Answer:

OD) If WX = XY and XY = YZ, then WX = YZ.

Step-by-step explanation:I took the test

Answer:

40 because every hour he charges 40 dollas so its 40x+75=y

Step-by-step explanation:

The slope is 40 because every hour he charges 40 dollars so its 40x+75=y

We have given that,

An electrician charges $40 per hour plus an initial service fee of $75. He charges a customer $195 for 3 hours of work.

We have to determine,

When this linear relationship is graphed, which value represents the slope.

The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as a rising overrun.

The slope is 40 because every hour he charges 40 dollars so its 40x+75=y

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