What is this equation called y=mx+b ?
(got another one removed)

Answer:

hence the midpoint of AB is 1/2,1

Step-by-step explanation:

[tex]midpoint \: of \: ab = ( \frac{ - 2 + 3}{2} )( \frac{5 - 3}{2} ) \\ = ( \frac{1}{2} )(1)[/tex]

If the side length of the pentagon is 19.27 centimeters. Then the area of the pentagon will be 337.225 square cm.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

The apothem of the pentagon is 7 cm.

Then the area of the pentagon will be

[tex]\rm Area = 5 \times \dfrac{1}{2} \times apothem \times side \ length[/tex]

The side length of the pentagon will be

[tex]\rm Side \ length = 2 \times 7 \tan 54^o \\\\Side \ length = 19.27\ cm[/tex]

Then the area will be

[tex]\rm Area = 5 \times \dfrac{1}{2} \times 7\times 19.27\\\\Area = 337.225[/tex]

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7 hours 30 minutes

Sure hope this helps you :D

If Josephine alone can correct test papers in 5 hours and if she takes helps from an assistant takes 3 hours then time taken by assistant alone to try and do the full add 7.5 hours.

An average is basically total sum divided by number whose sum is found. Average= sum/n.

Josephine takes 5 hours to  correct her students test papers.

Josephine and assistant takes 3 hours to correct papers.

Let the test paper contains 100 questions.

In 1 hour Josephine checks 100/5 =20 questions per hour.

In 1 hour Josephine and Assistant checks 100/3=33.33 questions per hour.

In 1 hour assistant checks 33.33-20=13.33 questions.

Time taken by assistant to try to to work alone=100/13.33=7.5 hours.

Hence to try to to the work alone the assistant takes 7.5 hours.

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Answer:

Step-by-step explanation:

(8+1+2)t

t= the amount of tickets Ms. Putnam buys.

Hope this helps!

Answer:

A-19.5

Step-by-step explanation:

You take 39 and times it by 50%

The divide 50 by 100

39 times 50/100

=19,5

Answer:

D. 78

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

5.7 feet

Step-by-step explanation:

Given:

[tex]\text{Height of triagle: 5 ft}[/tex]

Formula;

[tex]\text{Area of triangle}= \dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]

Substitute the height and the area in the formula;

[tex]\implies\text{Area of triangle}= \dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]

[tex]\implies14.25 = \dfrac{1}{2} \times \text{Base} \times 5[/tex]

Use cross multiplication;

[tex]\implies14.25 = \dfrac{1}{2} \times \text{Base} \times 5[/tex]

[tex]\implies14.25 \times 2= \text{Base} \times 5[/tex]

Simplify the left hand side;

[tex]\implies14.25 \times 2= \text{Base} \times 5[/tex]

[tex]\implies28.5= \text{Base} \times 5[/tex]

Divide both sides of the equation by 5;

[tex]\implies\dfrac{28.5}{5} = \dfrac{\text{Base} \times 5}{5}[/tex]

[tex]\implies \text{Base} = \dfrac{28.5}{5} = 5.7 \ \text{ft}[/tex]

Therefore, the measure of the base is 5.7 feet.

Answer:

5.7 feet

Step-by-step explanation:

The area formula for a triangle: A=(1/2) Base x Height

1. What we know: 14.25=(1/2)Base x 5

2. Now isolate "base" to get the answer. First, divide by 1/2. Dividing by 1/2 is the same as multiplying by 2. Leaves us with: 28.5=Base x 5.

3. The last thing we have to do is divide 5: 5.7=base.

4. To make sure, check with the formula: (1/2) 5.7 x 5=14.25

Answer:

3.167

Step-by-step explanation:

Mean = Sum of the number of boxes/ sum of the number of months

Mean number of boxes sold last year = (435+428+437+398+447+426)/6= 428.5

Mean number of boxes sold this year=

(440+416+445+423+420+446)/6 = 431.667

Difference = 431.667-428.5

≈ 3.167

Answer: 10 Slices

Step-by-step explanation:

10 slices of cheese is about $0.24 a slice.

12 Slices of cheese is about $0.26 a slice.

So 10 slices is the better deal.

Answer:

f(x) ≈ 58.20x2 + 18.96x + 34.46

Step-by-step explanation:

Notice that the year data are evenly spaced. Check the first differences between the total number or units to see if the data set is linear.

First Differences

113 − 34 = 79

304 − 113 = 191

615 − 304 = 311

1042 − 615 = 427

1584 − 1042 = 542

Because the first differences are not constant, a linear model is not the best model of the data. Check the second differences to see if the data set can be modeled by a quadratic function.

Second Differences

191 − 79 = 112

311 − 191 = 120

427 − 311 = 116

542 − 427 = 115

The second differences are approximately the same so we will use a quadratic function to represent the data.

Enter the data into a calculator. Plot the data and find the quadratic regression equation that best models the data.

f(x) ≈ 58.20x2 + 18.96x + 34.46

Answer: 8

Step-by-step explanation:

12 cups is a gallon

Answer:275sq

Step-by-step explanation:

210 feet for 1st rectangle

65 for the rectangle

Answer: 20

Step-by-step explanation:

1 candy into 1/4 is 4 pieces
5candy will be 20 pieces

Answer:

k=9

Step-by-step explanation:

Here's how to solve this equation

Step 1: -7(k+9)=9(k-5)-14k

Step 2: -7k-63=(9k-45)-14k

Step 3: -7k-63=-5k-45

Step 4: -7k=-5k+18

Step 5: -2k=18

Solution: k=-9

Good luck on your assignment, hope this helps

Answer:

Step-by-step explanation:

Method

The smallest the third side can be is something just larger than 2

You get 2 by subtracting10 and 8. The third side is just a bit larger. 8 and 2 will make up the length of 10 so you cannot use 2 itself

The largest value possible is just under 18. You get 18 by adding 8 and 10 together. So to get a triangle, you need just under 18.

Answer

2<s<18

A

Answer:

1 ) x = y = 9

2 ) x = 5, y = 25

3 ) x = 15, y = 9

4 x = 30, y = 15

Step-by-step explanation:

1 )

The shape is parallelogram.

In parallelogram, alternate interior angles are equal.

9x and 45 are alternate interior angles.

So,

9x = 45

Divide 9 on both sides,

x = 45 / 9

x = 5

In square, opposite side lengths are equal.

2y = 18

Divide 2 on both sides,

y = 18 / 2

y = 9

2 )

The shape is parallelogram.

In parallelogram, the sum of adjacent angles are 180.

In parallelogram, opposite angles are equal.

5y and 55 are adjacent angles,

5y + 55 = 180

5y = 180 - 55

5y = 125

Divide 5 on both sides,

y = 125 / 5

y = 25

11x and 55 are opposite angles,

11x = 55

Divide 11 on both sides,

x = 55 / 11

x = 5

3 )

The shape is parallelogram.

In parallelogram, alternate interior angles are equal.

2x and 30 are alternate interior angles,

2x = 30

Divide 2 on both sides,

x = 30 / 2

x = 15

x + y and 24 are also alternate interior angles,

x + y = 24

15 + y = 24

y = 24 - 15

y = 9

4 )

The shape is a square.

Square is also a parallelogram.

All the four angles in a square are 90 and are equal.

So,

3x = 90

Divide, 3 on both sides,

x = 90 / 3

x = 60

6y = 90

Divide 6 on both sides,

y = 90 / 6

y = 15

You can turn that ratio into a fraction:

3/5 voted yes

2/5 voted no

You can then multiply the fraction of people that voted yes by the total number of people.

[tex]=\frac{3}{5}(2860)[/tex]

= 1716

1716 people voted yes.

Answer:

1716

Step-by-step explanation:

2860 divided by 5 is 572

572x3 is 1716

572x2 is 1144

1144+1716 is 2860

so 1716 makes sense.

Answer:

x 1 2 3 4 5

y 5 10 15 20 25

in x =n+1

in y=5n

Answer:

Positive corralation

Step-by-step explanation: Algebra 1A-B

Answer:

1, 2 +, 3 | 1, +, + | 1 +, 2 +, +

1, 2, 3, 4 | 2, 3, 5, 6 | 1, 3, 4, 5, 6

Step-by-step explanation:

"+" is the upbeat "and" (eighth notes)

Answer:

x>= -8

Step-by-step explanation:

Hope the above image help..

Visit Quick math if you have problems with inequalities

The value of the derivative of the function g(x) at x = 1 will be 1/3. Then the correct option is A.

A function that may convert into another function is known as an inverse function or anti-function.

If the function is f(x) = sinx + 2x + 1.

Then the derivative of an inverse function g(x) of a function f(x) at a given value (a) will be

[tex]\rm g'(a) = \dfrac{1}{f'(g(a))}[/tex]

The derivative of f(x) will be

f'(x) = cos x + 2

Then the given value of a will be

a = 1

g(x) = f⁻¹(x)

put x = 0, then we have

f(0) = sin 0 + 2(0) + 1

f(0) = 1

Put x = 1, in the function f⁻¹(x). Then we have

f⁻¹(1) = 0

and

g(1) = 0

Then put a = 1, then we have

[tex]\rm g'(a) = \dfrac{1}{f'(g(a))}\\\\g'(1) = \dfrac{1}{f'(g(1))}\\\\g'(1) = \dfrac{1}{f'(0)}\\\\g'(1) = \dfrac{1}{\cos 0 + 2}\\\\g'(1) = \dfrac{1}{1+2}= \dfrac{1}{3}[/tex]

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[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]

Things we need to keep in mind in order to plot a point :

Signs of the coordinates shows which side it lies on.

similarly,

Now, let's proceed ~

First check out its x - coordinate on origin and move up or down according to its y - coordinate and you will get your required point.

So, for point (1 , 0) it has y - coordinate = 0, so it lies on x - axis at the x - coordinate of 1.

Answer:

Map Scale Equivalents

Map Scale Miles to Inches

1:100,000 1.6 miles = 1 inch

1:126,700 2 miles = 1 inch

1:150,000 2.4 miles = 1 inch

1:200,000 3 miles = 1 inch

Step-by-step explanation:

Explanation:

The point (3,a) means that x = 3 and y = a pair up together

Plug in those values and compute 'a'

y = 9-4x

a = 9-4(3)

a = 9-12

a = -3

The point (3, a) updates to (3, -3)

The point (3, -3) is on the line y = 9-4x

The amount of profit the spirit club make on each shirt sold at the end of the year is = $2

The quantity of shirt bought by the club = $8 per shirt

At the end of the year they sold the shirts at discount of %25 each.

That is 25/100 × 8

= 200/100

= $2

Therefore, they made profit of $2 for each shirt they sold at the end of the year.

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The probability of selecting a penny is 4/15

The probability of selecting a nickel is 1/3

The probability of selecting a dime is 7/30

The probability of selecting a dime or a quarter is 2/5

From the formula for probability,

[tex]P(A) = \frac{Number\ of\ favourable\ outcomes\ to\ A}{Total\ number\ of\ possible\ outcomes}[/tex]

Total number of possible outcomes = 30

[tex]P(penny) = \frac{8}{30}[/tex]

[tex]P(penny) = \frac{4}{15}[/tex]

The probability of selecting a penny is 4/15

[tex]P(nickel) = \frac{10}{30}[/tex]

[tex]P(nickel) = \frac{1}{3}[/tex]

The probability of selecting a nickel is 1/3

[tex]P(dime) = \frac{7}{30}[/tex]

The probability of selecting a dime is 7/30

First, we will calculate the probability of selecting a quarter

[tex]P(quarter) = \frac{5}{30}[/tex]

[tex]P(quarter) = \frac{1}{6}[/tex]

Then, the probability of selecting a dime or a quarter is

[tex]P(dime \ or \ quarter) = \frac{7}{30}+ \frac{1}{6}[/tex]

[tex]P(dime \ or \ quarter) = \frac{7+5}{30}[/tex]

[tex]P(dime \ or \ quarter) = \frac{12}{30}[/tex]

[tex]P(dime \ or \ quarter) = \frac{2}{5}[/tex]

The probability of selecting a dime or a quarter is 2/5

Hence,

The probability of selecting a penny is 4/15

The probability of selecting a nickel is 1/3

The probability of selecting a dime is 7/30

The probability of selecting a dime or a quarter is 2/5

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When one event's occurrence or non-occurrence doesn't affect the occurrence or non-occurrence of another event, then such events are called independent events. The correct option is B.

When one event's occurrence or non-occurrence doesn't affect the occurrence or non-occurrence of another event, then such events are called independent events.

Symbolically, we have:

Two events A and B are said to be independent if we have:

[tex]P(A \cap B) = P(A)P(B)[/tex]

Comparing it with the chain rule will give

[tex]P(A|B) = P(A)\\P(B|A) = P(B)[/tex]

Thus, showing that whether one occurred or not, the other one doesn't care about it (independence).

The top shelf of a bookcase holds 6 fiction and 4 nonfiction books. On the bottom shelves, there are 3 fiction and 5 nonfiction books.

When Choosing 2 books that describe a pair of dependent events, one of the fiction books should be chosen from the top shelf, and another one should be a nonfiction book from the top shelf itself.

Hence, the correct option is B.

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Answer: One of the nonfiction books on the bottom shelf, and a second nonfiction book from the bottom shelf

Step-by-step explanation: Answer on Edmentum

Answer:

Step-by-step explanation:

L can be  1/3, 1/3