Triangle p has b en rotated onto triangle Q
How many degrees anticlockwise has triangle P been rotated?
How many degrees clockwise has triangle P been rotated?

From this question, we can deduce he following:

Original value = 60

New value = 72

Let's find the percentage increase.

To find the percentage increase, apply the formula below:

Thus, we have:

Therefore, the percent increase is 20%.

ANSWER:

20%

Subtract the \(x^2\) terms from each other, then the \(x\) terms, then the ones without any \(x\) whatsoever.

\((12x^2 - 8x + 12) - (9x^2 +22x-46)\)

First, we'll subtract \(9x^2\) from \(12x^2\)

\(12x^2-9x^2- = 3x^2\)

Result: \(3x^2\)

Next, we'll subtract \(22x\) from \(-8x\)

\(-8x - 22x = -30x\)

Result: \(-30x\)

Finally, we'll subtract \(-46\) from \(12\)

\(12-(-46) = 12+46 = 58\)

Result: \(58\)

Now, we can add these 3 results together.

First, we had \(3x^2\), then \(-30x\), and finally \(58\).

Thus, our subtraction of

\((12x^2 - 8x + 12) - (9x^2 +22x-46)\)

equals

\(3x^2-30x+58\)

The domain of the given function is {.........-4, -3, -2, -1, 0, 1, 2, 3, 4,....} the interval notation is (-∞,∞),{x|x∈R}.

The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.

The given function is y=2x-6.

Find the domain by finding where the equation is defined. The range is the set of values that correspond with the domain.

Domain: (-∞,∞),{x|x∈R}

Range: (-∞,∞),{y|y∈R}

Therefore, the domain of the given function is {.........-4, -3, -2, -1, 0, 1, 2, 3, 4,....} the interval notation is (-∞,∞),{x|x∈R}.

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The unit rate of the relationship will be 10/3. The correct option is C.

The given equation is,

y = 10/3x + 8

The general form of an equation of the line is,

y = mx +  c

here, the slope will be 10/3

Slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for a given change in the independent variable.

The slope of a line is represented by the ratio of the change in the y-axis (vertical) to the change in the x-axis (horizontal) between any two points on the line. It can also be interpreted as the rate of change of the dependent variable with respect to the independent variable.

A positive slope indicates an upward trend, while a negative slope indicates a downward trend. The slope of a line is often denoted by the letter m.

The unit relationship will be 10/3.

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Answer:

15m^2

Step-by-step explanation:

2m*3m = 6m^2

3m*3m = 9m^2

Answer: 6m^2 + 9m^2 = 15m^2

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Answer and Step-by-step explanation:

\(\frac{-b}{2a}\) is the equation to find the axis of symmetry of a quadratic equation.

\(y = -3x^{2} + 18x + 10\)

-3 = a

18 = b

10 = c

Now we plug the values into the equation.

\(\frac{-(18)}{2(-3)} \\\\\\\frac{-18}{-6} \\\\\\3\)

The axis of symmetry is on the line x = 3.

#teamtrees #WAP (Water And Plant)

To find the missing angle measure, we need to use the fact that the sum of angles in a triangle is 180 degrees. Let's denote the missing angle as x. We know that one angle is 38 degrees and another angle is 12.5 degrees.Therefore, the missing angle measure is 129.5 degrees.

By subtracting these two angles from 180 degrees, we get:

180 - 38 - 12.5 = 129.5

Without additional information, it is not possible to determine the remaining parts of the triangle. We would need the lengths of at least one side or the measures of other angles to solve for the missing parts.

The given information states that AC is equal to AB minus mzB. Without knowing the values of AB and mzB, we cannot determine the exact length of AC. We would need additional information to solve for the length of AC.Therefore, the missing angle measure is 129.5 degrees.

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Correct Question:

Type the correct answer in the box. Use numerals instead of words. Consider this expression. \(\sqrt{a^2} - 7 + |b|\) When a = 2 and b = -4, the value of the expression is​

Answer:

\(\sqrt{a^2} - 7 + |b| = -1\)

Step-by-step explanation:

Given

\(a=2\)

\(b = -4\)

Required

Determine \(\sqrt{a^2} - 7 + |b|\)

To solve this, we simply substitute the values of a in the given expression

\(\sqrt{a^2} - 7 + |b|\)

\(\sqrt{a^2} - 7 + |b| = \sqrt{2^2} - 7 + |-4|\)

Express 2² as 4

\(\sqrt{a^2} - 7 + |b| = \sqrt{4} - 7 + |-4|\)

Express square root of 4 as 2

\(\sqrt{a^2} - 7 + |b| = 2 - 7 + |-4|\)

\(|-4| = 4\)

So, we have

\(\sqrt{a^2} - 7 + |b| = 2 - 7 + 4\)

\(\sqrt{a^2} - 7 + |b| = -1\)

Hence, the result of the expression is -1

Answer:

Step-by-step explanation:

The bell boy added $270 and $20 incorrectly. The $20 bill was something that was returned due to overcharching. On the other hand, $270 was the amount that they paid for their room. This only means that $20 should be deducted from $270 and that's the amount that they paid for their room while $30 and $20 are the amount that the bell boy received as a tip

Total money of the three men: 3($100) = $300

They paid $270 for the room: $300 - $270 = $30

Tip for the bell boy: $30 - $30 = $0

Amount overcharged to them: $0 + $20 = $20

Tip to the bell boy: $20 - $20 = $0

They were left with no more money from the original $300.

Answer:

63

Step-by-step explanation:

If 7 men have 7 wives, that means they have 1 wife each, so that will be 7+7=14. Then each wife has 7 children, so that will be 7×7=49, next we add the children to the men and the wives and get 49+14=63. So the total number of people is 63.

According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

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Answer:

156 M

Reasoning you add How far He has walked from his starting point

Step-by-step explanation:

Answer: 156 m here u go

If Liam has 9/16 gallon, he has enough white paint to make 8 gallons of light green paint

A word problem in mathematics is a maths question written as one sentence or more that requires the application of mathematics knowledge to a 'real-life' scenario.

Given that 6 gallons of light green paint use 3/8 gallon of white paint, this can be expressed as:

3/8 gallons of white paint = 6 gallons of light green

We are to determine if 9/16 gallons will be enough to make 8 gallons of light green paint. This can be expressed as

9/16 gallons of white paint = x

Divide both expressions

3/8 x 16/9 = 6/x

2/3 = 6/x

By cross multiplying

2x = 3 x 6

2x = 18

x = 18/2

x = 9

This shows that if Liam has 9/16 gallon, he has enough white paint to make 8 gallons of light green paint

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The last row of the table will show the total interest paid, which is approximately $243.11.

The correct option is C.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

To calculate the total interest paid,

we need to first find out how many months it will take to pay off the entire balance.

We can use the following formula to calculate the number of months:

N = -log(1-(r×b/p))/log(1+r)

where N is the number of months, r is the monthly interest rate (which is the annual percentage rate divided by 12), b is the balance, and p is the payment.

In this case,

r = 0.1799/12 = 0.01499 (monthly interest rate), b = $1,800, and p = $125.

Plugging these values into the formula, we get:

N = -log(1-(0.01499 × 1800/125))/log(1+0.01499) ≈ 16.24

So it will take about 16.24 months to pay off the entire balance.

Using a spreadsheet, we can create a table with the following columns:

Month: 1 to 16

Balance: starting with $1,800 and decreasing by $125 each month

Interest: calculated as the monthly interest rate times the balance

Payment: $125

Total Interest: calculated as the sum of the interest for all previous months

The last row of the table will show the total interest paid, which is approximately $243.11.

Therefore, the value is (C) $243.11.

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Answer: Option C is correct $243.11

Step-by-step explanation: I got it right On the test!!!

The balance for each value of n is calculated by using the formula A = P(1 + r/n) ^nt. The rounded balance values are shown in the last column of the table above.

To complete the table and find the balance A if $3100 is invested at an annual percentage rate of 4% for 10 years and compounded n times a year.

The formula for calculating compound interest is as follows:

A = P(1 + r/n) ^nt,

where P represents the principal investment amount, r is the interest rate, n is the number of times the interest is compounded, t represents the time in years, and A represents the total amount, which includes the principal amount and the interest earned.

The table is given below:
\(\begin{array}{|c|c|c|} \hline \text{n} &

\text{A = P(1 + r/n) }^{nt} &

\text{Balance (rounded to nearest cent)} \\ \hline \text{1} &

\text{3100(1 + 0.04/1)}^{1*10} &

\text{\$4788.03} \\ \hline \text{2} &

\text{3100(1 + 0.04/2)}^{2*10} &

\text{\$4798.76} \\ \hline \text{4} &

\text{3100(1 + 0.04/4)}^{4*10} &

\text{\$4817.46} \\ \hline \text{12} &

\text{3100(1 + 0.04/12)}^{12*10} &

\text{\$4861.94} \\ \hline \end{array}\)

The balance is obtained by substituting the values of P, r, n, and t into the compound interest formula.

In this case, the investment is $3100, the annual interest rate is 4%, the investment is for 10 years, and n is the number of times the interest is compounded.

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Answer:

is there a picture?

Step-by-step explanation:

That both a and b are equally likely, is also not true since the Probability of option b is higher than that of option a.

Option b is more likely to be true. This is because the given information states that the showerhead heights were designed to be 72 inches, which is well above the mean height of 69.5 inches. Therefore, it is reasonable to assume that the majority of the players' heights are below 72 inches. Since the heights of the athletes are normally distributed, the probability of selecting a player at random with a height above 72 inches is relatively low. On the other hand, option a suggests that the mean height of a sample of 20 players is more than 72 inches, which is less likely than option b. Option c, which suggests that both a and b are equally likely, is also not true since the probability of option b is higher than that of option a.

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Answer:

.73 per pound

Step-by-step explanation:

Take the total cost and divide by the number of pounds

4.38/ 6

.73 per pound

The probability that they both get a red apple is, 15/28

Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The possibility that an event will occur is measured by probability.

Probability of Event = Favorable Outcomes/Total Outcomes = X/n

The probability of Ed's friend grabbing a red apple is,

= 6 red apples / (2 green apples + 6 red apples)

= 6/8

= 3/4.

Then, the probability of Ed grabbing a red apple from the remaining apples is,

= 5 red apples / (2 green apples + 5 red apples)

= 5/7.

So, the probability that both Ed and his friend get a red apple is,

= 3/4 x 5/7

= 15/28

Hence, the probability is 15/28

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Answer:

+1*(11f+105)

 STEP

1

:

           1

Simplify   —

           2

Equation at the end of step

1

:

       27      1

 (((0-(——•f))+(—•f))-15)-6

       10      2

STEP

2

:

           27

Simplify   ——

           10

Equation at the end of step

2

:

          27          f            

 (((0 -  (—— • f)) +  —) -  15) -  6

F(3) occurs when x =3. So lets plug 3 into our equation.

\(f(3) = -4(3)^2 + 4(3)-4\\f(3) = -4(9) + 12- 4\\f(3) = -36 + 12- 4\\f(3)= -28\)

F(3) = -28

I hope this helps! :)

Answer:

True, a cone has an apex which is the point where the sides of the cone meet to form a tip.

The measure of the angles are:: x = 20. so, angles are, 20°, 40°, 120°.

Here, we have,

we know that,

The sum of the angles in a triangle add to 180

x+2x+6x = 180

Combine like terms

9x= 180

Divide by 9

9x/9 = 180/9

x = 20.

Hence, The measure of the angles are:: x = 20. so, angles are, 20°, 40°, 120°.

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complete question:

The sum of the angle measures in a triangle is 180°. The angles of a certain triangle measure x°, 2x°, and 6x°. Solve for x.

Answer:

9. Juanita's recipe.

10. Leon's recipe.

Step-by-step explanation:

9.  All you need to do is convert the numbers into fractions.  

Juanita's recipe: 4 parts lemon, 2 parts sugar.  Lydia's recipe: 5 parts lemon  and 3 parts sugar.  So in order to find the lemon amount in each recipe convert into this fraction:

lemon/sugar

Juanita: lemon/sugar= 4 lemon/2 sugar

Lydia: lemon/sugar= 5 lemon/3 sugar

The LCM is 6 so that is the denominator.

Juanita: 4 lemon/2 sugar= 12 lemon/6 sugar

Lydia: 5 lemon/3 sugar= 10 lemon/6 sugar

The ratio is 4:2= ?:6 and 5:3= ?:6

Juanita has 12 lemon and Lydia has 10, so Juanita has more lemons.

10.  Same as number 9.

Use the fraction peanuts/pretzels because it wouldn't work if peanuts is on the bottom otherwise both Leon and Cisco's peanut amount will be the same.  SO put peanuts over pretzels, so pretzels will be the denominator so we can find the peanut amount.

peanuts/pretzels

Leon: peanuts/pretzels= 3 peanuts/8 pretzels

Cisco: peanuts/pretzels= 2 peanuts/6 pretzels

The LCM is 24 so that is the denominator.

Leon: 3 peanuts/8 pretzels= 9 peanuts/24 pretzels

Cisco: 2 peanuts/6 pretzels= 8 peanuts/24 pretzels

The ratio is 3:8= ?:24 and 2:6= ?:24

Leon has 9 peanuts and Cisco has 8, so Leon has more peanuts.

Answer:

She will have 12 pounds of cheese left

Step-by-step explanation:

Tina starts with 24 pounds , and uses 12 pounds .   24-12=12

Answer:

-3

Step-by-step explanation:

The top left box on the x axis is negitive 3