Geometry Unit 2 Lesson 2 Homework

In questions 1-5, determine the type of reasoning for each statement.

In order to participate in school sports, students must have a minimum GPA of a 2.0. Jim has a GPA of 2.75, therefore he can participate in school sports.

Every Tuesday that Yolanda's family has visited a specific local restaurant, the kids' meals have been free. When Yolanda's family visits that restaurant next Tuesday, the kids' meals will be free.

A new movie director has grossed over 250 million for each of his first three movies. When his fourth movie is released, it will gross over 250 million.​

Step-by-step explanation:

u find 2 percent of 15000 which is 2/100×15000 to find the annual interest then divide it by 2 to find 6 months 300 is the yearly interest so 6 months will be 150

(b) here u add the 150 gotten from a to 15000 giving u 15150

The number of  mozzarella sticks that will be in the larger sample will be 5.

Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained within other value(s). The sign used to express ratios is :.

The first step is to determine the ratio of mozzarella sticks to pretzel bites in the smaller sample. This can be done by dividing the quantity of  mozzarella sticks by the number of pretzel bites.

Number of mozzarella sticks / number of pretzel bites = 2 : 8  or 1 : 4.

Now, divide the number of pretzel bites in the larger sample by the ratio of mozzarella sticks and pretzel bites in the smaller sample.

The ratio of mozzarella sticks in the larger sample = 20 / 4 = 5

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Answer:

6 to the 3rd power ÷ 4 + 2 ×9(256-17×4)

6 to the 3rd power ÷ 4 + 2 ×9(256-68)

6 to the 3rd power ÷ 4 + 2 ×9×188

216 ÷ 4 + 2 × 1692

216 ÷ 4 + 3384

54 + 3384

=3438

Answer:

374.99 or rounded up to 375

Step-by-step explanation:

First we need to take 47,000 and divide it by 12 to find the monthly income.

47,000/12 is 3916.66

now subtract 3541.67 from 3916.66

The value of the expression in scientific notation is 1.2913 * 10^5

The expression is given as:

(1.28 × 105) + (1. 13 × 10³)

Rewrite properly as

(1.28 × 10^5) + (1. 13 × 10^3)

Express 10^3 as 10^-2 * 10^5

So, we have

(1.28 × 10^5) + (1. 13 × 10^3) = (1.28 × 10^5) + (1. 13 × 10^-2 * 10^5)

Factor out 10^5

So, we have:

(1.28 × 10^5) + (1. 13 × 10^3) = (1.28 + 1. 13 × 10^-2) * 10^5

This gives

(1.28 × 10^5) + (1. 13 × 10^3) = (1.28 + 0.0113) * 10^5

Evaluate the sum

(1.28 × 10^5) + (1. 13 × 10^3) = 1.2913 * 10^5

Hence, the value of the expression in scientific notation is 1.2913 * 10^5

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The scientific notation of (1.28 × 105) + (1. 13 × 10³) is  1.2913 × 10⁵

Scientific notation is a form of presenting very large numbers or very small numbers in a simpler form.

The proper format for scientific notation is a × 10ᵇ

where

Therefore, let's evaluate (1.28 × 10⁵) + (1. 13 × 10³)

(1.28 × 10⁵)  = 128000

(1. 13 × 10³)  = 1130

Hence,

(1.28 × 10⁵) + (1. 13 × 10³) = 128000 + 1130 = 129130

In scientific notation,

(1.28 × 10⁵) + (1. 13 × 10³) = 129130 = 1.2913 × 10⁵

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Sophia will be twice as old as Maya in 3 years  

From the question, we are to determine the number of years when Sophia will be twice as old as Maya

From the given information,

"Maya is 12 years old"

and

"Sophia is 15 years older than Maya"

Thus,

Sophia is 12 + 15 years

Sophia is 27 years

Let the number of years when Sophia will be twice as old as Maya be x

Then,

27 + x = 2(12 + x)

Solve for x

27 + x = 24 + 2x

27 - 24 = 2x - x

3 = x

x = 3

Hence, Sophia will be twice as old as Maya in 3 years  

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Answer:

Step-by-step explanation:

12(5m-n)

The slope of the line represented by the graph of a linear function is  -2/3.

The general equation of a straight line is -

y = mx + c

where -

m → slope of line

c → y - intercept of line

Given in a question a linear function that decreases from left to right passing through the coordinates A(2, 0) and B(5, -2).

A linear function is a function of general equation → y = ax + b which is same as y = mx + c. So, it represents a straight line.

The line passes through the points A (2, 0) and  B (5, -2). The Slope of the given line can be calculated using the following formula -

m = (y[2] - y[1]) / (x[2] - x[1])

m = (- 2 - 0) / (5 - 2)

m = -2/3

Therefore, the slope of the line represented by the graph of a linear function is  -2/3.

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The slope of the line represented by the graph of a linear function is  -2/3.

What is the general equation of a straight line?

The general equation of a straight line is -

y = mx + c

where -

m → slope of line

c → y - intercept of line

Given in a question a linear function that decreases from left to right passing through the coordinates A(2, 0) and B(5, -2).

A linear function is a function of general equation → y = ax + b which is same as y = mx + c. So, it represents a straight line.

The line passes through the points A (2, 0) and  B (5, -2). The Slope of the given line can be calculated using the following formula -

m = (y[2] - y[1]) / (x[2] - x[1])

m = (- 2 - 0) / (5 - 2)

m = -2/3

Therefore, the slope of the line represented by the graph of a linear function is  -2/3.

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Answer:

Step-by-step explanation:

we now that [tex]\sqrt[n]{x} *\sqrt[n]{y} =\sqrt[n]{xy}[/tex]

so:

[tex](\sqrt[3]{5} )(\sqrt[5]{25} )= \sqrt[3]{125} = 5[/tex]

The probability that it has a mass of more than 120 g is 13/40.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution.

Given,

frequency = 5   9   13   7   6

sum of frequency = 40

P(120<m<=180) = 13/40

P(180<m<=240) = 7/40

P(240<m<=300) = 6/40

Probability that it has a mass of more than 120 g = [P(120<m<=180) + P(180<m<=240) + P(240<m<=300) ]

⇒ 13/40 + 7/40 + 6/40

= 26/40

= 13/20

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Answer:

2years 6 months

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year.

I = P × R × T/100

Solving our equation:

$350 = $3500 × 4 × T /100

Let's solve your equation step-by-step.

350=(3500)(4)t/100

Step 1: Multiply both sides by 100.

350=(3500)(4)t/100

(350)*(100)=((3500)(4)t/100)*(100)

35000=(3500)(4)t

Step 2: Simplify both sides of the equation.

35000=14000t

Step 3: Flip the equation.

14000t=35000

Step 4: Divide both sides by 14000.

14000t/14000=35000/14000

t=5/2

t = 2.5 years

2.5 years = 2years 6 months

The stretch length is 27/8 inches

The given parameters are

Unstretch = 1 1/8 inches

Stretch = 4 1/2 inches

The length of stretch is calculated using

Length = Stretch - Unstretch

So, we have

Length = 4 1/2 - 1 1/8

Evaluate the difference

Length = 3 3/8

Express as improper fraction

Length = 27/8

Hence, the stretch length is 27/8 inches

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Height =15cm

Width=2cm

Length=5cm

The area of the rectangle Infront =15×5=75cm ²

1 determine the area of the rectangle on the left side of the rectangular prism

2 determine the area of the rectangle at the bottom of the rectangular prism

3 determine the total surface area (TSA) of the rectangular prism.

Step-by-step explanation:

Given that

To find

So, according to the question

Let's assume,

height = h = 15cm

length = l = 2cm

width = w = 5cm

So, from question,

    Area of rectangle in front = 15 cm x 5 cm

That's mean

   Rectangle in front have h = 15cm and l = 5cm.

We know the width from question w = 2cm.

So,

   Area of the rectangle to the left = h x w

                        = 15 x 2

                        = 30 cm²

Also,

 There is no height to the rectangle at the bottom.

So, l and w make up the bottom rectangle.

Now,

the area of rectangle at the bottom  = l x w

                        = 5 x 2

                        = 10 cm²

Now,

  The total surface area (TSA) of the rectangular prism = 2(lw + wh + lh)

                        = 2 ( 75 + 10 + 30)

                        = 2 x (115)

                        = 230cm²

So,

Answer:

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Answer:

132

Step-by-step explanation:

.....................................

Answer:

15.4a + (-14)

Step-by-step explanation:

I had the same test :3

Answer:

Neither is correct

Step-by-step explanation:

Look at each side of the smaller figure and compare it to the larger figure. That will give you the scale: (Larger figure length)/(Smaller figure length)

Let's take the base
Smaller figure is 6 units
Larger figure is 9 units

Scale = 9/6 = 1.5

Take the vertical height
Smaller figure = 4

Larger figure = 8
So here the scale is 2

Scaling is inconsistent for different sides of the figure

So neither of them is right. For a figure to be scaled, all its sides must be scaled by the same number

Step-by-step explanation:

To know wgich scale factore the Original sketch was increased with Compare the measurements of the original sketch and the student's sketch.

HOW?

do the proportion with relations to each and every side to see by how much each side increased.

For the bases it will be>>>>>>> The base of the student's sketch/ The base of the Original sketch(distance)

=10/7

10/7Adjacent side of the Student's Sketch/Adjacent side of the Original sketch

10/7Adjacent side of the Student's Sketch/Adjacent side of the Original sketch=9/5

upper side os student's sketch / upper side of original sketch

upper side os student's sketch / upper side of original sketch =4/3

Before I go any further you can see that for any side there is no certain(constant) scale factor whuch was used to increase the original Sketch to the Student's Sketch. Fir each and every side the Scale factor keeps on Changing This brings us to a conclusion that NEITHER OF SASHA AND RANDY IS CORRECT.

HOPE THIS HELPS

Answer: The judge did not follow the speed limit of 65mph because if she did she would have not gotten there in 2 hours. The judge was actually going at 85 mph.

Step-by-step explanation:

Answer:

  m∠B = 53°

Step-by-step explanation:

You want the measure of the acute angle, given that consecutive interior angles of the trapezoid have measures (32x-1) and (14x-3).

Consecutive interior angles between the bases of a trapezoid are supplementary:

  (32x -1) +(14x -3) = 180

Simplifying the equation, we get ...

  46x -4 = 180

  46x = 184 . . . . . . add 4

  x = 4 . . . . . . . . divide by 46

The smaller angle is ...

  14(4) -3 = 56 -3 = 53

The measure of angle B is 53°.

__

Check

The measure of angle C is 32(4) -1 = 127. This is the supplement of the measure of angle B, as it should be.

Answer:

Try no solution

Step-by-step explanation:

Solving for the solution the answer is 4

Solving for x the answer is no solution

Array A = [1, 0, 0, 1, 0, 0], there are four coins showing heads and two showing tails.

def solution(A):

n = len(A)

dp = [[0 for x in range(2)] for y in range(n)]

if A[n-1] == 0:

  dp[n-1][0] = 0

  dp[n-1][1] = 1

else:

  dp[n-1][0] = 1

  dp[n-1][1] = 0

for i in reversed(range(len(A)-1)):

  if A[0] == 0:

    dp[i][0] = dp[i+1][1]

    dp[i][1] = dp[i+1][0] + 1

  else:

    dp[i][0] = dp[i+1][1] + 1

    dp[i][1] = dp[i+1][0]

return min(dp[0][0], dp[0][1])

An array of computer drives is a collection of two or more drives that operate as a single drive. For instance, in a RAID array, a user may make use of numerous drives that are mirror images of one another to help secure the data stored on the drives.

A data structure called an array consists of a set of elements (values or variables), each of which is identifiable by an array index or key. Depending on the language, additional data types that describe aggregates of values, such lists and strings, may overlap (or be associated with) array types.

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No, jacob is not correct.

A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.

We are given that;

Expression= 1/3 + 6sqrt5/7

Now,

The sum of the expression 1/3 + 6sqrt5/7 is not rational, even though it is a fraction. A rational number is a number that can be written as the ratio of two integers, such as 1/3 or -4/5. An irrational number is a number that cannot be written as the ratio of two integers, such as sqrt2 or pi.

The expression 1/3 + 6sqrt5/7 contains an irrational term, 6sqrt5/7. This term cannot be simplified to the ratio of two integers, because sqrt5 is irrational. Therefore, adding this term to 1/3 does not make it rational. The sum of a rational and an irrational number is always irrational.

Therefore, by the fraction the answer will be No.

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Answer: 5x+6y=13

               6x-12y=14

Answer:

8.7*10^12

Step-by-step explanation:

An equation that models the balance y after x months​ y = 1070 - 172.5x.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

Zachary purchased a computer for $1070. The first step is to calculate the purchase he paid after 2 months.

= 1070 - 725

= $345

Then the purchase after 1 month is

= $345/2

= $172.5 per month

The equation can be written as:-

y = mx + c

y = 1070 - 172.5x.

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Step-by-step explanation:

Given that

To find

So, according to the question

we have,

So, we know that

The equation of parabola, that reflected over the  y axis, and horizontally compressed by a factor of m and translated up c units:

                  x = - my² + c ---------------(1)

Where,

    m show the a factor, c showing translation.

    And - sign show the compression.

Now, put the all given values in equation (1),

So, we will get

                  x = - my² + c ---------------(1)    

                   x = - [tex]\frac{1}{2} y^2[/tex] + 6          

Answer:

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Answer:

x=|4/3|

Step-by-step explanation:

3|2x|=12-4

|2x|= 8/3

x=4/3

Answer:

It's 366. 53*7=371 | 371-5 because the 0th term is -5

Answer:

131232- This is the answer

Answer:

3,1,2,1,3,2

Step-by-step explanation:

3,1,2,1,3,2