Writing a mixed number and an improper fraction for a shaded...
Each circle counts as one whole

Answer:

∠ x = 58°

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠  BAD is an exterior angle of the triangle , then

x + 56° = 114° ( subtract 56° from both sides )

x = 58°

we have:

statement

1.

2.

3.

4.

5.

reason

1. Given

2. Given

3. Definition of angle bisector

4. Reflexive property

5. SAS

Answer:

1.7$

Step-by-step explanation:

Given

original price = $2.87

New price = $2.82

Percentage decrease = original price-New price/New price × 100

Percentage decrease = 2.87-2.82/2.87× 100

Percentage decrease = 0.05/2.87 × 100

Percentage decrease = 5/2.87

Percentage decrease = 1.7%

Answer:

a. 1,323,002

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

(3xy)^2 = 9x^2y^2

36/9 = 4  

x^4 - x^2 = x^2

y^5 - y^2 = y^3

= 4x^2y^3

Answer:

Follows are the python code to this question:

import math as m #import package  

n=int(input('Enter the number of sides:'))#defining n variable for input number of side

s= float(input('Enter the side: '))#defining s variable for input side value

area = (s*s *n)/(4 * (m.tan(m.pi/n)))#defining formula for calcaulting area

print (area)#print area

Output:

please find the attached file.

Step-by-step explanation:

In the above code, firstly, we import the math package as m, and after that, two-variable "n and s" is defined, which uses for input integer and float value from the user end.

EXPLANATION

The unit rate is given by the division between both fractions:

The monthly PMI Payment for Christina's loan is $37.50.The correct answer is option B.

To determine Christina's monthly PMI (Private Mortgage Insurance) payment, we need to find the corresponding interest rate for her loan-to-value (LTV) ratio. The LTV ratio is calculated by dividing the loan amount by the property value.

The loan amount can be calculated by subtracting the down payment from the property value:

Loan amount = Property value - Down payment

           = $170,000 - $20,000

           = $150,000

Now we can calculate the LTV ratio:

LTV ratio = Loan amount / Property value * 100

         = $150,000 / $170,000 * 100

         = 88.24%

Since Christina is obtaining a 30-year mortgage, we need to look at the interest rates for LTV ratios between 85.01% and 90%. According to the table, the interest rate for this range is 0.30%.

To calculate the PMI payment, we multiply the loan amount by the PMI rate and divide it by 12 months:

PMI payment = (Loan amount * PMI rate) / 12

           = ($150,000 * 0.30%) / 12

           = $450 / 12

           = $37.50

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The Probable question may be:
Christina is buying a $170,000 home with a 30-year mortgage. She makes a $20,000 down payment.

Use the table to find her monthly PMI payment

Base to loan% = 95.01% to 97%,90.01% to 95%,85.01% to 90%,80.01% to 85%.

30-year fixed-rate loan = 0.55%,0.41%,0.30%,0.19%

15-year fixed-rate loan = 0.37%,0.28%,0.19%,0.17%.

A. $51.25

B. $37.50

C. $23.75

D. $42.50

The graph is attached, the point (2, 3) included in the solution area for the system and (4, 0) is the solution of area for the system.

a relationship between two expressions or values that are not equal to each other is called 'inequality.

Given that Michael has $16 and wants to buy a mixture of cupcakes and fudge to feed at least 4 siblings.

Each cupcake costs $4, and each piece of fudge costs $2.

4x + 2y ≤ 16

x + y ≥ 4

The graph for system of inequalities is attached.

The point (2, 3) included in the solution area for the system

4(2)+2(3)≤ 16

14≤ 16 is true.

2+3≥ 4 is true.

Point (2, 3) included in the solution area for the system.

From the graph (4, 0) is the solution of area for the system.

Hence, the graph is attached, the point (2, 3) included in the solution area for the system and (4, 0) is the solution of area for the system.

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\(x-3 = 12\\\\\implies x = 12 +3 = 15\)

Answer:

3, 5, 9, 15

Step-by-step explanation:

Just find all the factors

Using the concept of permutation, the company can generate 108,927 different employee ID codes.

To know the number of employee ID codes that's generated, we can check the number of possibilities of each component and multiply them together.

Given:

- Two letters can be chosen from 23 letters (excluding D, G, and Z).

- One digit can be chosen from 9 digits.

- One letter can be chosen from 23 letters (excluding D, G, and Z).

Number of possibilities for the first letter = 23

Number of possibilities for the second letter = 23

Number of possibilities for the digit = 9

Number of possibilities for the third letter = 23

To calculate the total number of employee ID codes, we multiply these possibilities together:

By using the concept of permutation;

Total number of ID codes = 23 × 23 × 9 × 23

Total number of ID codes = 108,927

Therefore, the company can generate 108,927 different employee ID codes.

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Answer:

The region where the inequality is valid is (x>-5) and (x<-9).

The graph is attached.

Step-by-step explanation:

We have a inequality and we have to determine the region in the xy-plane that inequality.

\(|x+7|-2>0\\\\|x+7|-2+2>0+2\\\\|x+7|>2\)

We divide the inequality in two regions:

1) When (x+7)>0, we have:

\(x+7>2\\\\x+7-7>2-7\\\\x>-5\)

2) When (x+7)<0, we have:

\(-(x+7)>2\\\\-x-7+7>2+7\\\\-x>9\\\\(-x)(-1)<9(-1)\\\\x<-9\)

Then, the region where the inequality is valid is (x>-5) and (x<-9).

The graph is attached.

Answer:

B

Step-by-step explanation:

edg 2020

Answer:    ∡PRS=61°

Step-by-step explanation:

As known the following equity is valid for the rhombus:

∡PQR+∡QRS = 180°

So  ∡QRS=180°- ∡PQR

∡QRS=180°- 58°= 122°

From another hand we know that PR is bisector of ∡QRS.

So ∡PRS=∡QRS:2= 122°:2=61°

∡PRS=61°

The regression equation that correctly models the data is: y = 5.71x + 27.6.

The correct answer to the given question is option D.

Regression equations are mathematical models that relate two or more variables to find the relationship between them. One variable, denoted as y, is considered the dependent variable. The other variable, denoted as x, is considered the independent variable.

In this case, the independent variable is the size of the outdoor deck, while the dependent variable is the estimated cost to construct it.

There are different types of regression equations. The one that fits this scenario is the linear regression equation, which has the form y = mx + b, where m is the slope of the line and b is the y-intercept.

The slope represents the change in y for each unit change in x, while the y-intercept represents the value of y when x is zero. To find the regression equation that correctly models the data, we need to calculate the slope and the y-intercept using the given values.

We can use the following formulas:

Slope:  m = [(n∑xy) - (∑x)(∑y)] / [(n∑x2) - (∑x)2]

Y-intercept: b = (∑y - m∑x) / n Where n is the number of data points, which is 6 in this case.

Using the given values, we get: Slope: m = [(6)(2,010,500) - (1,193)(6,950)] / [(6)(346,337) - (1,193)2] = 5.71

Y-intercept: b = (6,950 - (5.71)(1,193)) / 6 = 27.6

Therefore, the regression equation that correctly models the data is: y = 5.71x + 27.6

The answer is option D.

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The equation that represents a quadratic relationship is y = 4x^2. Option A.

A quadratic relationship is a mathematical relationship where the variable y is a function of the variable x raised to the power of 2. In other words, it is an equation in which the highest power of the variable is 2.

Let's analyze the given equations:

1. y = 4x^2: This equation represents a quadratic relationship because the variable x is raised to the power of 2. The term 4x^2 indicates that the relationship between x and y is quadratic.

2. y = 4x^4: This equation represents a quartic relationship, not a quadratic relationship. The variable x is raised to the power of 4, which indicates a higher degree relationship than quadratic.

3. y = 4x^3: This equation represents a cubic relationship, not a quadratic relationship. The variable x is raised to the power of 3, indicating a higher degree relationship.

4. y = 4: This equation represents a linear relationship, not a quadratic relationship. It is a constant equation where y is always equal to 4, regardless of the value of x. In a quadratic relationship, the variable x should have a power of 2. Option A.

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Answer:

5.1

Step-by-step explanation:

we have

5.1436

since 4 is less than five we cannot pass the 1 to 2

so it stays like

5.1

Answer:

The expected flight time is 2 hours 10 minutes

Step-by-step explanation:

Given

\(a = 2\ hours\)

\(b = 2\ hours\ 20\ mins\)

Required

The expected flight time

To do this, we simply calculate the mean using:

\(Mean = \frac{a + b}{2}\)

So, we have:

\(Mean = \frac{2\ hours + 2\ hours\ 20\ mins}{2}\)

\(Mean = \frac{4\ hours\ 20\ mins}{2}\)

\(Mean = 2\ hours\ 10\ mins\)

Answer:

D

Step-by-step explanation:

In geometry, a branch of mathematics, perpendicular lines are defined as two lines that meet or intersect each other at right angles (90°).

Answer:

3/4

Step-by-step explanation:

there was 4/5 you just had to minis 3and 4

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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The volume of the given three dimensional figure is 14352 cubic inches.

From the given three dimensional figure, dimensions in rectangular prism are Length = 23 inches, Breadth = 16 inches and Height = 18 inches.

So, volume of rectangular prism = Length×Breadth×Height

= 23×16×18

= 6624 cubic inches

Volume of triangular prism = Area of base × Height

= (23×16) × Height

= 368 × Height

= 368 × 21

= 7728 cubic inches

Total volume = 6624 + 7728

= 14352 cubic inches

Therefore, the volume of the given three dimensional figure is 14352 cubic inches.

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Answer:

Step-by-step explanation:

i am working on the assumption that nobody does all three of them

i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.

the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.

so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4

Answer:

26 < d < 30

Step-by-step explanation:

D is greater than 26 but less than 30.

Someone older than 26​, but less than 30 years of age will be written as 26 < x < 30.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

A certain population demographic may be defined as someone older than 26​, but less than 30 years of age.

Let 'x' be the age of someone.

If the age of someone is greater than 26, then the inequality is written as,

26 < x            ...1

If the age of someone is smaller than 30, then the inequality is written as,

x < 30           ...2

Combine both inequalities, then we have

26 < x < 30

Someone older than 26​, but less than 30 years of age will be written as 26 < x < 30.

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The value of angle ABC is 26°

What is a value ?

Depending on where it is in the number, each digit has a different value, which is referred to as value. We figure it out by multiplying the digit's place value by its face value. Place value plus face value equals value.

Values are the benchmarks or ideals by which we judge the acts, traits, possessions, or circumstances of others. Values that are embraced by many include those of beauty, honesty, justice, peace, and charity.

Depending on where it is in the number, each digit has a different value, which is referred to as value. We figure it out by multiplying the digit's place value by its face value. Place value plus face value equals value.

to find the ∠ABC

we know ∠CAB = 64° and ∠BCA = 90°

let ∠ABC be x

x + 64 + 90 = 180

x = 180 - 64 - 90

  = 26°

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Yes, 7/56 and 6/48 are proportional because 7×48 = 56×6. Therefore, the correct answer is option B.

Given that, a truck needs 7 gallons of fuel to travel 56 miles.

The truck travel 48 miles with 6 gallons of fuel.

Here, the proportion is

7:56::6:48

We know that, the proportion is product of extremes = product of means

7×48 = 56×6

336 = 336

Therefore, the correct answer is option B.

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