what is wrong with 4x3 7/10 = 12 7/10

Answers

Answer 1

The value of the fraction expression 4 x 37/10 is 14 8/10 not 12 7/10

How to determine the mistake in the computation?

The equation is given as:

4 x 3 7/10 = 12 7/10

Remove the result

So, we have

4 x 3 7/10

Express 3 7/10 as an improper fraction

So, we have

4 x 37/10 = 4 x 37/10

Evaluate the product of 4 and 37

So, we have

4 x 37/10 = 148/10

Evaluate the quotient of 148 and 10

So, we have

4 x 37/10 = 14 8/10

Hence, the value of the fraction expression 4 x 37/10 is 14 8/10 not 12 7/10

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Related Questions

l
Use the graph for Exercises 1-3.
1. Quadrilateral J is reflected across the x-axis.
What is the image of the reflection?
2. Which two quadrilaterals are reflections of each
other across the y-axis?
3. How are quadrilaterals Hand J related?
Draw the image of the figure after each reflection

Answers

Answer:

explain why a mission statement should not include monetary amount numbers percentages ratios or objectives

Which equation would be used to generate the data in the following table?

Answers

Answer:

D. y = 8x

Step-by-step explanation:

[tex]\mathrm{y(out put) = x(in put) \times 8}[/tex]

Question 7A: Keisha has $585.43 in her checking account. She must maintain a balance of $300 to avoid a fee. She wrote a check for $302.05 today. Write an inequality, using x for the variable, that would be used for the least amount of money she needs to deposit to avoid a fee.

Question 7B: Using your inequality from question 7A, solve the inequality to find the least amount of money Keisha can deposit to avoid a fee.

Answers

The least amount of money she needs to deposit to avoid a fee is;  $16.62

How to Solve Inequality Word Problems?

We are given;

Amount Keisha has in her checking account = $585.43

Minimum balance to be maintained = $300

Check written = $302.05

Now, if x represents the variable, that would be used for the least amount of money she needs to deposit to avoid a fee, then the inequality is;  $585.43 - $302.05 + x ≥ $300

$283.38 + x ≥ $300

Subtract 283.38 from both sides to get;

x ≥ $16.62

Thus, the least amount of money she needs to deposit to avoid a fee is;  $16.62

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Alice says because 7 and 17 are both prime numbers, all whole numbers that end in 7 are prime numbers

Answers

Alice is wrong. Not all numbers that end with 7 is a prime numbers. an example is 57.

Prime numbers are numbers that are divisible by 1 and themselves alone. Examples are 2, 3, 7,17, and 11. However, 7  and 17 being prime numbers does not make any other number ending with 7 a whole number. E.g 57, a number that ends with 7 but it is not a prime number because it is divisible by 3.

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Calculate the percent increase or decrease between the starting and ending quantities below. Round your answer to one decimal place. Continue on the following page.
1. Start: 3 End: 10
2. Start: 9 End: 20
3. Start: 100 End: 85
4.Start: 45 End: 20
5. Start: 30 End: 60

Answers

The percent increase and decrease between the given starting and ending quantities above are as follows:

Percentage increase = 233.3%.Percentage increase = 122.2%.Percentage decrease = 17.7%.Percentage decrease = 125%.Percentage increase = 100%.

The types of percentage.

In Mathematics, there are two main types of percentage and these include the following:

Percentage decreasePercentage increase

Mathematically, percentage increase can be calculated by using this formula:

Percentage increase/decrease = [Final value - Initial value]/Initial value × 100

Substituting the given parameters into the formula, we have;

Percentage increase = [10 - 3]/3 × 100

Percentage increase = 7/3 × 100

Percentage increase = 233.3%.

Start: 9 End: 20.

Percentage increase = [20 - 9]/9 × 100

Percentage increase = 11/9 × 100

Percentage increase = 122.2%.

Start: 100 End: 85.

Percentage decrease = [100 - 85]/9 × 100

Percentage decrease = 15/85 × 100

Percentage decrease = 17.7%.

Start: 45 End: 20.

Percentage decrease = [45 - 20]/20 × 100

Percentage decrease = 25/20 × 100

Percentage decrease = 125%.

Start: 30 End: 60.Percentage increase = [60 - 30]/30 × 100

Percentage increase = 30/30 × 100

Percentage increase = 100%.

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Scores on an exam follow an approximately normal distribution with a mean of 76. 4 and a standard deviation of 6. 1 points. What is the minimum score you would need to be in the top 7%?.

Answers

If the scores on an exam follow an approximately normal distribution with a mean of 76.4 and a standard deviation of 6.1 points, then the minimum score needed to be in the top 7% is calculated to be 85.404.

This type of problem can be categorized as a normal distribution problem and can be solved with the help of z-score.

If we consider Z = standard score,

μ = mean

σ = standard deviation

Then the z-score to figure out the lowest score to be in the top 7% is given as,

Z = x - μ / σ

If the p-value is known, the z-score can be found with the help of the standard table.

As the minimum score to be in the top 7% is to be determined, p-value = 0.07

The z-score that corresponds to the p-value of 0.07 is 1.476 in the standard table.

Hence,

1.476 = x - 76.4 ÷ 6.1

1.476 × 6.1 = x - 76.4

1.476 × 6.1 + 76.4 = x

9.004 + 76.4 = x

x = 85.404

Therefore, 85.404 is the minimum score that is needed to be in the top 7%.

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What is the y -coordinate of the vertex of the parabola y=-3(x-4)²+5 ?

Answers

y -coordinate of the vertex of the parabola y=-3(x-4)²+5 is -5.

What is a parabola?

A parabola is an approximately U-shaped, mirror-symmetrical planar curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. A parabola may be described using a point and a line.

Given,

y=-3(x-4)²+5

⇒ y = - 3x² - 48 + 24x + 5

⇒ y =  - 3x² + 24x - 43

⇒ a = -3, b = 24, c = -43

⇒ x = -b/2a

x = -24 /- 6 = 4

⇒ y = - 48 + 96 - 43

⇒  y = - 5

x= 4, y = -5

The coordinates of vertex will be - (4,-5)

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I keep getting Bs on these and its driving me crazy

Answers

The correct answers are:

The range of packages shipped to  Rare Vinyl is greater than the range of packages shipped to  Rare Vinyl .

The distribution of packages shipped to both businesses are approximately symmetrical.

What is the range and distribution of the plot?

A line plot is a graph that is made up of a number line and check marks. A line plot is a graph that is used to show the frequency of data points in a data set using check marks above a number line.  The greater the frequency of the data point, the greater the number of marks above the number on the number line.

Range is used to measure the variation of a data set. It is the difference between the maximum number and the minimum number.

Range = maximum number - minimum number

Range of Rare Vinyl  = 13 - 8 = 5

Range of Aquarium World = 6 - 0 = 6

A line plot is symmetrical if the opposite sides of the line plot are identical in shape. It can be seen that opposite sides of both line plots are identical.

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Which function has a domain of x ≥5 and a range of y≤3?
y=√x-5+3
y=√x+5-3
y=-√x-5+3
y=-√x+5-3

Answers

The function has a domain of x ≥5 and a range of y≤3

y = - [tex]\sqrt{x-5}[/tex] +3, this function has a domain of x ≥5 and a range of y≤3

Given that

The domain of function is x ≥5, andThe range of function is y≤3.

To find

The function that have domain x ≥5 and range y≤3.

So, according to the question

We have

Domain of function = x ≥5.Range of function = y≤3.

A square root can only be calculated in values equal to or greater than zero, so keep that in mind.

So, if we want the domain to be x > 5, then we must have:

[tex]\sqrt{x-5}[/tex].

Now that we also want the range to be equal to or less than 3, we need a constant term with a value of 3 and a negative coefficient before the square root, which gives us:

y = - [tex]\sqrt{x-5}[/tex] +3

Answer:

y = - [tex]\sqrt{x-5}[/tex] +3 is have a range y≤3 and domain x ≥5.

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Answer:

C.

[tex]y = - \sqrt{x - 5 + 3} [/tex]

Which names are correct for EN?

Answers

All except for the second one

If eight bottles of shampoo is $20 how much money is one bottle of shampoo?

Answers

Answer:

Step-by-step explanation:

ik u already know this.. im still gonna answer for points.

In order to find how much is 1 bottle of shampoo you just divide the $20 by 8.

Just use a calculator and you will get $2.50

Answer:

The answer will be $2.50

Step-by-step explanation:

All you do is divide 20 by 8 and you will get 2.5 and if you need to check the answer you can multiply 2.5 by 8

Hope this helps and may God bless you<3

Calculate the derivative of the function. (3x-6)^3 /(2x-2)^3

Answers

Applying the quotient rule, the derivative of the function is given by:

[tex]f^{\prime}(x) = \frac{3(3x - 6)^2(3(2x - 2) - 2(3x - 6))}{(2x - 2)^4}[/tex]

What is the derivative of a quotient?

Suppose a quotient function defined as follows:

f(x) = g(x)/h(x).

The derivative of the function is defined according to the following rule:

f'(x) = [g'(x)h(x) - h'(x)g(x)]/(h(x))²

For this problem, the function is given by:

f(x) = (3x-6)³ /(2x-2)³.

Hence the parameters are:

g(x) = (3x - 6)³.h(x) = (2x - 2)³.

Applying the power rule and the chain rule, the derivatives of the functions are:

g'(x) = 9(3x - 6)².h'(x) = 6(2x - 2)².

Hence the derivative of the function is:

[tex]f^{\prime}(x) = \frac{9(3x - 6)^2(2x - 2)^3 - 6(2x - 2)^2(3x - 6)^3}{(2x - 2)^6}[/tex]

[tex]f^{\prime}(x) = \frac{3(3x - 6)^2(2x - 2)^2(3(2x - 2) - 2(3x - 6))}{(2x - 2)^6}[/tex]

[tex]f^{\prime}(x) = \frac{3(3x - 6)^2(3(2x - 2) - 2(3x - 6))}{(2x - 2)^4}[/tex]

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Here is a sequence
5,10,20,40,80
a) What is the term-to-term rule for this sequence?
b)The 10th term in the sequence is 2560. What is the 11th term in the sequence?

Answers

the term to term rule is that every next term becomes 2 times of the previous term and the 11th term is 5120 for the sequence 5, 10, 20, 40, 80.

We have a sequence:

5, 10, 20, 40, 80

We need to find the term to term rule of the sequence.

We get that:

10 / 5 = 2

20 / 10 = 2

40 / 20 = 2

80 / 20 = 2

Term to term rule is that every next term becomes 2 times of the previous term.

10th term = 2560

11th term = 2 × 2560

11th term = 5120

Therefore, we get that, the term to term rule is that every next term becomes 2 times of the previous term and the 11th term is 5120 for the sequence 5, 10, 20, 40, 80.

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Give an example of an exponential function that models exponential growth and an example of an exponential function that models exponential decay.

Answers

The exponential function that models exponential growth is y = 5(3)ˣ.

The example of an exponential function that models exponential decay is y = 2(0.8)ˣ

What is termed as exponential growth?

Exponential growth is the process by which quantity increases over time. It happens whenever the instantaneous rate of change of a volume with respect to time has been proportional to the volume itself.

Bacteria are one of the finest examples of exponential growth. Prokaryotic fission takes bacteria about an hour to reproduce. We would see exponential growth if we placed 100 bacteria in a surroundings and recorded this same population size every hour.

Consider exponential function; y = a(b)ˣ.

For the exponential growth a > 0 and b > 0.

Suppose a = 5 and b = 3.

Then, the function will become after substituting the both values.

y = 5(3)ˣ which is the exponential growth of the exponential function.

What is termed as exponential decay?

According to the law, exponential decay would be the decrease in a quantity (1) where is the exponential function and the initial value, for a parameter as well as constant (known as the decay constant).

In arithmetic, exponential decay refers to the process of decreasing an amount by a constant percentage rate over time. It can be expressed as y=a(1-b)ˣ, where y is the final amount, an is the initial amount, b is the decay factor, & x is the time elapsed.

Now, as per the question.

For the exponential decay a > 0 only.

Consider exponential function; y = a(b)ˣ.

Let, a = 2 and b = 0.8.

Then,

y = 2(0.8)ˣ

Therefore, the exponential function in the form of exponential decay is y = 2(0.8)ˣ.

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The temperature dropped 24 degrees in 4 hours. What was the average drop in temp per hour?

Answers

Answer:

6

Step-by-step explanation:

You have to divide 24 by four.

Marc mixes blue and yellow paint to make his favorite shade of green, which he'll use to paint his house. He has 14 cans of blue paint and 20 cans of yellow paint when he starts.

He wants the same green color every time he mixes, so the amounts of blue and yellow must always be proportional to the original mixture.

On day 1, he mixes 4 cans of blue and 6 cans of yellow.
On day 2, he mixes 6 cans of blue and 9 cans of yellow.

Fill in the blanks to find the highest number of cans of each color Marc can mix to make the same shade of green on day 3.




1 On days 1 and 2 how much blue paint did Marc use? How much yellow paint?

2 How many cans of each type of paint does Marc have left for day 3?

3 Day 2's mixture must use the same simplified ratio of blue to yellow as the other two days. What is the greatest number of cans of blue and yellow paint Marc can mix on day 2? Assume he mixes only whole cans of paint.

Answers

By respecting the given ratio:

1) 10 of blue paint and 15 of yellow.

2) 4 of blue paint and 6 of yellow.

3) 2 cans of blue paint and 3 of yellow.

On days 1 and 2 how much blue paint did Marc use? How much yellow paint?

We know that on day 1 he uses:

4 cans of blue paint.6 cans of yellow paint.

On day 2 he uses:

6 cans of blue paint.9 cans of yellow:

Adding that we get:

Cans of blue paint used: 4 + 6 = 10Cans of yellow paint used: 6 + 9 = 15

How many cans has he left on day 3?

He initially has 20 cans of yellow, so he has left:

20 - 15 = 5 cans of yellow.

He initially has 14 cans of blue, so now he has:

14 - 10 = 4

4 cans of blue paint.

3) How many cans should he use?

The original ratio is:

6 yellow to 4 blue.

The quotient gives: 6/4 = 3/2

So if she has 5 cans of yellow paint and 4 cans of blue paint, the maximum amount that he can use that respects that ratio is 3 cans of yellow paint and 2 cans of blue paint.

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Find all the zeros of each function.
y=3x³-7x²-14 x+24

Answers

All the zeros of each function y=3x³-7x²-14 x+24 are

X₁ = -2, X₂≈ 1.33333, X₃ = 3

What is root of Polynomial?

Polynomial roots are the answers to any polynomial for which we need to determine the value of the unknowable variable. Knowing the roots will allow us to evaluate the polynomial's value to zero. A polynomial of degree "n" in variable x is an expression with the following formula: anxn + an-1xn-1 +...... + a1x + a0.

The greatest power of a variable in a polynomial is referred to as the polynomial's degree.

A monomial is a polynomial with a single term. A monomial is referred to as a polynomial of zero degrees if it simply has a constant term.

According to the given data,

y=3x³-7x² -14x + 24

Substitute y = 0

0=3x³-7x²- 14x + 24

Move the expression to the left

0-3x³+7x² +14x-24=0

Remove 0

Rewrite

- 3(x³+8) +7x(x+2)=0

Factor the expression

-3(x+2) x(x²-2x + 4) +7x(x+2)=0

Remove the parentheses

-(x+2)x(3x²-6x+12-7x) = 0

Collect like terms

-(x+2)x (3x²-13x+12) 13x+12=0

Rewrite the expression

(x+2)x(3x-4)x(x-3)=0

Separate into possible cases

x+2=0

3x-4=0

X 3=0

Solve the equations

x = -2

X=4/3

X = 3

The equation has 3 solutions

Solution

X₁ = -2  , X₂=4/3 , X₃ = 3

Alternative Form

X₁ = -2, X₂= 1.33333, x₃ = 3

Hence ,all the zeros of each function y=3x³-7x²-14 x+24 are

X₁ = -2, X₂≈ 1.33333, X₃ = 3

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Evaluate the Function at each specified value ​

Answers

1. (a) The answer to the given part is 12.56

(b)the answer to the given part 50.24

(c) the answer to the given part153.86

2. (a)the answer to the given part ₋1

(b)the answer to the given part 2

(c) the answer to the given part4

3. (a)the answer to the given part 12

(b) the answer to the given part5

(c) the answer to the given part1

Given,

1. A(r) = πr²

a. A(2) = π(2)²

= π4

= 3.14 ₓ 4

= 12.56

b. A(4)

A(r) = πr²

= π(4)²

= π16

= 50.24

c. A(7)

A(r) = πr²

= π(7)²

=  π(49)

= 153.86

2. s(t) = t² ₋ 2t ₊ 1

a. S(0) = 0² ₋ 2(0) ₋ 1

= ₋1

b. S(3) = 3² ₋ 2(3) ₋ 1

= 9 ₋ 6 ₋ 1

= 2

c. S(₋1) = (₋1)² ₋ 2(₋1) ₊ 1

= 1 ₊ 2 ₊ 1

= 4

3. (a) f(₋3) which means x ≤ ₋1

therefore, f(₋3) = 4 ₋ 3x

= 4 ₋ 3(₋3)

= 4 ₊ 9

= 12

(b) f(0) which means ₋1<x<1

therefore, value of f(0) = 5.

(c) f(2) which means x≥ 1

therefore, value of f(2) = x² ₋ 3

= 2² ₋ 3

= 4 ₋ 3

= 1

hence, we get the desired results.

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There is electric toothbrush rotate the brush 125 times per second brushes her teeth for 2 minutes twice a day how many rotations does high electric toothbrush make in one week

Answers

Answer: 210,000

Step-by-step explanation:

there are 120 seconds in 2 minutes.

125 times 120= 15,000

15,000 times 2= 30,000

so it spins 30,00 times in a day.

30,000 times 7=210,000

so it spins 210,000 times in a week.

Back it man’s begging you like right now

Answers

Answer:

3

Step-by-step explanation:

I can figure this out by counting, I just imagine its a rectangle, count the 6 squares, the cut it in half

Answer:

3

Step-by-step explanation:

Translate it 3 units left, then turn it 180 degrees starting from its right side to its left side. Now, the triangle is mirrored.

exercise 8 module 3 Describe the graph of the celsius-fahrenheit relationship

Answers

Answer: Exercise 8 module 3 Describe the graph of the Celsius - Fahrenheit relationship is    F =  8C + 3  and     C = (F-3) / 8

Step-by-step explanation:

Celsius and Fahrenheit are two scales used to measure temperature. The temperature in the centigrade scale will be expressed in degrees Celsius. The temperature in the Fahrenheit scale will be expressed in degrees Fahrenheit. The relation between Celsius and Fahrenheit is proportional. Both have a different freezing point of water and both follow the varied unit difference between each scale.

Celsius to Fahrenheit

The conversion from Celsius to Fahrenheit can be mathematically expressed as-

                            F = [ (9/5) x C ] + 32

Where,

F is the temperature in Fahrenheit.

C is the temperature on the Centigrade scale.

Fahrenheit to Celsius

The conversion from Fahrenheit to Celsius can be mathematically expressed as-

                          C = (5/9) [ (F-32) ]

Where,

F is the temperature in Fahrenheit.

C is the temperature on the Centigrade scale.

Units of Celsius and Fahrenheit :

The units of temperature scale are useful in differentiating temperatures from one scale to another.

The temperature on the Celsius scale is denoted by °C

The temperature on the Fahrenheit scale is denoted by °F

Using linear function concepts, the graph of the Celsius-Fahrenheit relationship is linear with an intercept of 3 and slope of 8 module.

A linear function is modeled by:

                    y = mx + b

where,    m is the slope

so, we can write,

                    F =  8C + 3

we can also express the Celsius in terms of Fahrenheit :

                     8C = F - 3

                      C = (F-3) / 8

Therefore,

Exercise 8 module 3 Describe the graph of the Celsius - Fahrenheit relationship is    F =  8C + 3  and    C = (F-3) / 8.

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The elevator in a downtown skyscraper goes from the top floor down to the lowest level of the underground parking garage. If the building is 450 feet tall and the elevator descends 530 feet from top to bottom, how far underground does the parking garage go?
A) 970 feet
B) 980 feet
C) 70 feet
D) 80 feet

Answers

Answer:

530-450=80

Answer = 80 feet

the answer is D !!!!

Please solve the perimeter (I know the answer, please explain steps)!!

Answers

Step-by-step explanation:

The perimeter of a trapezoid is All the sides combined. We already know two of the sides. You can simplify the square roots to be 2[tex]\sqrt{2}[/tex]+6+x. We know that two sides (or the ones we don't know) are equal, and we see an altitude. This shows that we can make a right triangle be a^2+b^2=c^2. Once we substitute everything, we find [tex]2\sqrt{2}[/tex]^2(or 8)+x^2+c^2. This means that we now need to find x. Also, sorry, but I don't know what to do after this so I hope you can solve it from here. The things you need to find out are c^2 and x.


A certain refrigerator requires 170 watts of electricity when it is running. It typically runs about 20 minutes per hour. How much does it cost to run this refrigerator for one year if the cost per kWh is $0.11?

Answers

If  certain refrigerator requires 170 watts of electricity when it is running. It typically runs about 20 minutes per hour. The amount it cost to run this refrigerator for one year if the cost per kWh is $0.11 is:  $53.856.

Cost

Given:

Electricity watts = 170 watts

Minutes run = 20 minutes

Cost per KWh =$0.11

Hence,

170 watts = 1.7×10^-1

20 min = 1/3 h

Now let calculate the cost of running the refrigerator for one year  

1.7×10^-1 × 1/3 × 24 ×360 × $0.11

= $53.856

Therefore If  certain refrigerator requires 170 watts of electricity when it is running. It typically runs about 20 minutes per hour. The amount it cost to run this refrigerator for one year if the cost per kWh is $0.11 is:  $53.856.

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Help ASAP!!!!!!!!!!!! 10 Points

Answers

The symbolic notation are;

a. Atlanta is the capital of Georgia, or there are 3 feet in a yard.

2. ⇒ p ∧ q

b. Atlanta is the capital of Georgia and there are not 3 feet in a yard.

6. ⇒ p ∨ ~ q

c. Atlanta is not the capital of Georgia, or there are 3 feet in a yard.

5. ⇒ ~ p ∧ q

d. Atlanta is the capital of Georgia, and there are 3 feet in a yard.

1. ⇒ p ∨ q

What is Symbolic notation?

Symbolic notation is a way of representing the counting numbers by writing a simple symbol.

Now,

For the false statement we use the symbol ( ~ ).

If in the statement the word ''or'' is present then we use the symbol ''∧'' and for the word ''and'' we use the symbol ''∨''.

Hence,

For the statement;

a. Atlanta is the capital of Georgia, or there are 3 feet in a yard.

Both are truth and with the word ''or'', then the symbolic notation,

⇒ p ∧ q

For the statement;

b. Atlanta is the capital of Georgia and there are not 3 feet in a yard.

One statement is truth and second is false , then the symbolic notation,

⇒ p ∨ ~ q

For the statement;

c. Atlanta is not the capital of Georgia, or there are 3 feet in a yard.

First statement is false and second is truth , then the symbolic notation,

⇒ ~ p ∧ q

For the statement;

d. Atlanta is the capital of Georgia, and there are 3 feet in a yard.

Both are truth and with the word ''and'', then the symbolic notation,

⇒ p ∨ q

So, The symbolic notation are;

a. Atlanta is the capital of Georgia, or there are 3 feet in a yard.

2. ⇒ p ∧ q

b. Atlanta is the capital of Georgia and there are not 3 feet in a yard.

6. ⇒ p ∨ ~ q

c. Atlanta is not the capital of Georgia, or there are 3 feet in a yard.

5. ⇒ ~ p ∧ q

d. Atlanta is the capital of Georgia, and there are 3 feet in a yard.

1. ⇒ p ∨ q

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What is the value of y in this figure?

Enter your answer in the box.

PLS HURRY ILL GIVE BRAINLIEST!!!!!

Answers

Answer:

163 degrees

Step-by-step explanation:

163 degrees is equal to y

Z = x

The measure of angle y is 163° and the measure of angle x and z is 17 degrees.

Given that:

Two lines are intersected with each other.

It is required to find the measure of angles x, y, and z.

The angles formed on the opposite side of the intersecting line are called vertical angles.

Also, by the Vertical Angles Theorem, the vertical angles formed are always equal.

Here, y is vertical to the given measure of 163°.

So, y = 163°.

Now, x and y are the angles formed along a line.

So, they are linear pair of angles.

Linear pair of angles are supplementary.

So, x + y = 180

x = 180 - 163

  = 17°

Also, x and z are vertical angles.

So, z = 17°

Hence, x = 17°, y = 163°, and z = 17°.

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Due tonight ‼️‼️‼️‼️ The following graph shows a proportional relationship.
What is the constant of proportionality between y and x in the graph?

Answers

The constant of proportionality between y and x in the graph is 1.

From given graph we can see that

When x=2 then y=2

When x=4 then y=4

When x=6 then y=6

when x=10  then  y= 10

It means when x increases then y also increases .

It is in direct proportion.

Direct proportion:y/x=k.

Where k=Proportionality constant

Using the formula

y/x=10/10=2/2=1

Hence, the value of proportionality constant=1

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you want to make six dozen cookie for a bake sale if you follow the recipe one bach makes 2 dozen cookie let b be the number of batches you need to bake

Answers

You need to make 3 batches if you want to get 6 dozen cookies.

How many batches do you need to bake?

Here we know that you need to make a total of 6 dozen cookies, and we know that each batch you make gives 2 dozen.

Then if you make b batches, the number of dozens of cookies that you get is given by the linear equation:

d = 2*b

So, if you want to get 6 dozens, you need to replace d by 6, we will get:

6 = 2*b

Solving that for b, we get:

6/2  =b = 3

You need to make 3 batches if you want to get 6 dozen cookies.

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For a given calendar year, Mrs. Terry pays the first $2,500 of her medical expenses plus 20% of all medical expenses
over $2,500. In the equation shown, y represents the amount that she pays when x is the total dollar amount of her
medical expenses for the year.
V = 2,500 + 0.2 (x - 2,500)
for x ≥ 2,500
If y = $2,632 for this year, what is x, Mrs. Terry's total medical expenses?

Answers

Using proportions, Mrs. Terry total medical expenses are of $2,526.4.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For this problem, her expenses are divided as follows:

All of the first $2,500.20% of the remaining 2632 - 2500 = $132.

Hence her total medical expenses are given as follows:

2500 + 0.2 x 132 = $2,526.4.

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Simplify. 4√32 m⁷n⁹

Answers

   The simplification of the given expression can be expressed as: 8√2m⁷n⁹

What is simplification?

Simplification is defined as a final operation that shows the result of a reduction of a number or set without altering its value.

 In other words, when we simplify we express the same value in a shorter or summarized form.

  The algebraic expression that we must simplify to its minimum expression is:

4√32 m⁷n⁹,  we can see that it is an expression that has two variables

we reduce the value of the square root

√32 = √4x4x2 = √4²x2 = 4√2

4(4√2)m⁷n⁹  Variables are irreducible

8√2m⁷n⁹

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