I need help with this proof

Answer:

A.9^2+15^2=x^2

Step-by-step explanation:

Pythagorean Theorem

a^2+b^2=c^2

The expression -3(-3v^3+3-4w^2) after using the distributive property is  9v³ - 9 + 12w²

The distributive property of multiplication over addition is a mathematical method of expanding bracket mostly applied when you need to multiply a value by a sum.

This property of multiplication explains how to solve expressions that are in the form of a(b + c).

From the information given, we have the expression;

-3(-3v^3+3-4w^2)

To carry out the distributive multiplication , we need to remove the parentheses of the expression by taking the following steps, we have;

expand the bracket and take note of the mathematical signs, we get

-3(-3v³ + 3 - 4w²)

9v³ - 9 + 12w²

Note that we can no longer add the terms because they are not like terms.

Hence, the expression is 9v³ - 9 + 12w²

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AS per the concept of reasoning, the statement written symbolically is ~Q

The term reasoning in math is defined as a drawing logical conclusions based on evidence or stated assumptions

While we looking into the statement P and Q, then we can  get it as

p: Brad Pitt is governor.

q: There are not 51 states in the U. S.

Here we have to know that the we have to write the following in the symbolic form, that is written as,

=> There are 51 states in the U. S.

While we looking into the statement, we have identified that the  statement is write as the inverse form of the previously given one.

So, the symbolic form is ~Q.

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Number of quarters is 6 and number of nickels are 42.

One eighth of Al's coins are quarters, so if we let x be the total number of coins, then x/8 is the number of quarters Al has.

We know that:

Quarters are worth $0.25 and nickels are worth $0.05 and total value of the coins is $3.60

so, x/8 * $0.25 + (x-x/8) * $0.05 = $3.60

=> x/8 * 0.25 + 7x/8 * 0.05 = 3.60

multiplying both sides by 8 to cancel out 8, we get

=> x*0.25 + 7x * 0.05 = 28.8

=> x/4 + 7x/20 = 28.8

=> (5x + 7x)/20 = 28.8

=> 12x = 576

=> x= 48

x/8 = 6 and (x-x/8) = 42

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I year of weekends= 105days therefore 105, therefore you need 105 ice cream bars? hoped this helped

Answer: 4 in

Step-by-step explanation:

Answer:

X= 7 1/6

Step-by-step explanation:

-3/4x-5=3/8

-Add 5 on both sides

-3/4x=43/8

-Divide 3/4 on both sides

-X= 7 1/6 (there is no way for this not to be a fraction or decimal.)

The value of w in the rhombus is 19 degrees

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

Angle CFD = 2w

Angle FED = 52 degrees

The figure is a rhombus

using the above as a guide, we have the following:

2w + 52 = 90

This is so because the angles in the base of the individual triangle are equal

Evaluate the like terms

2w = 38

Divide by 2

w = 19

hence, the solution is w = 19

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62 points, he would need to improve his credit score in order to take a mortgage for $150,000.

What is a mortgage?

It is an agreement between you and a lender that allows you to borrow money to purchase or refinance a home and gives the lender the right to take your property if you fail to repay the money you've borrowed. A mortgage is a type of loan that's used to finance the property. A mortgage is a type of loan, but not all loans are mortgages. Mortgages are “secured” loans.

To calculate the monthly payment, we can use the formula:

M = P [i(1 + i)^n] / [(1 + i)^n – 1]

Where M is the monthly payment, P is the loan amount, i is the interest rate, and n is the number of payments (in this case, the number of months in 30 years)

Plugging in the values,

M = 150000 * (0.0929 / 12) / [ (1 + (0.0929 / 12))^(12 * 30) - 1]

This gives a monthly payment of $1238.

To find out how many points he needs to improve his credit score, we can compare this monthly payment to the maximum monthly payment he can afford, which is $14,000.

If $1238 is more than $14,000, he would need to improve his credit score to a point where the monthly payment would be less than $14,000. By looking at the table, we can see that the interest rate for credit score of 620-674 is 7.40%.

Hence, (D) option is the correct answer.

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Answer:

780

Step-by-step explanation: The answer is 780!

Answer:(8 x r)+(8 x 1)

Step-by-step explanation:

[tex]8(r+1)[/tex]

Distribute:

[tex](8)(r)+(8)(1)[/tex]

[tex]\fbox{8r + 8}[/tex]

The total dinner bill was $177.90 including a tip of 20%.

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%"

Given that, a restaurant adds a 20% gratuity (or tip), a dinner bill for a large party comes to $148.25, we need to find the total dinner bill with tip.

The total bill will be = 148.25 + 20% of 148.25

= 148.25 + 20/100 × 148.25

= 148.25 + 0.2 × 148.25

= 148.25 + 29.65

= 177.90

Hence, the total dinner bill was $177.90 including a tip of 20%.

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Answer:

Step-by-step explanation:

[tex]\dfrac{k}{0.1} =36[/tex]

Multiply both sides by 0.1:

[tex](\dfrac{k}{0.1} )\times0.1=(36)\times0.1[/tex]

[tex]\fbox{k = 3.6}[/tex]

The number line which best conveys Gregg's situation is B.

line B is the answer and the image is attached,

Since Greg has calculated that his least or minimum speed should be 50 miles per hour ,

Then the line starts at 50 with the starting point shaded due to the at least notation.

Then at least means that,

Gregg may need to travel at a higher speed than 50, so the direction of the arrow moves to the right of the number line depicting a possible increase in Gregg's speed.

Therefore, the number line which best conveys Gregg's situation is B.

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Approximately 81.5% of the respondent will be between 64.29 and 93.54 years old.

Given that:

Mean u = 74.04

Standard deviation S.D. = 9.75

Distribution of ages is mound-shaped and symmetric.

We have to find percentage of the respondent between 64.29 and 93.54 years old.

For 93.54

z-score = [tex]\frac{x-u}{S.D}[/tex]

Z score = (93.54 – 74.04)/9.75 = 19.5/9.75 = 2

For 64.29

Z score = (64.29 – 74.04)/9.75 = -9.75/9.75 = -1

Now p-value from z-table:

P(x<93.54) = p(z<2) = 0.97725

P(x>64.29) = p(z>-1) = 0.15866

Probability between 64.29 and 93.54 year old = .97725 – 0.15865

= 0.8186

Percentage of the respondent = 0.8186 * 100 = 81.8%

Therefore, approximately 81.5% of the respondent will be between 64.29 and 93.54 years old.

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Part A:

Find m∠2,

Since ∠1 and ∠2 are alternate interior angles, they are equal. So, m∠2=60°

Part B:  

Find m∠3,

Since ∠2 and∠3 are supplementary, the sum of their measures is 180°. So, m∠3=180°-60° which is 120°.

As per the collinear point, the common endpoint is called the vertex of the angle, and the rays are called the sides of the angle.

The term collinear point in math is defined as a set of three or more points that exist on the same straight line

Here we have given that an angle is two collinear rays with a common endpoint.

And we need to find an example that contradicts this definition.

Here we also know that an angle is the union of two noncollinear rays with a common endpoint.

Then the common endpoint is called the vertex of the angle and the rays are called the sides of the angle.

And it is measure of an angle is a number representing the spread of the two arms of the angle.

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The length of the longest side is solved to be 3.76 cm

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0.

The perimeter o the quadrilateral have a formula that add all the sides together, assuming the factor of the original length is x, the perimeter is solved by

9.6 = 3x + 5x + 6x + 9x

9.6 = 23x

x = 9.6 / 23

x = 0.4174

The length of the longest side

= 9x

= 9 * 0.4174

= 3.76 cm

3.76 cm is the length of the longest side

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The test-statistic (z-score) is 1.19984.

To find the test statistic (z-score) using the p-value, you will need to use the inverse of the standard normal cumulative distribution function (CDF), also known as the inverse normal function or the "normal inverse function." This function can be found using a calculator or a spreadsheet program with built-in functions, or you can use a table of standard normal probabilities to find the corresponding z-score for a given p-value.

For example, if the p-value is 0.05, you would look up the corresponding z-score in a table of standard normal probabilities and find that it is approximately 1.645. This means that the test statistic (z-score) for a p-value of 0.05 is 1.645.

It's important to note that this method only works for a one-tailed test, for a two-tailed test you need to divide your p-value by 2 and then use the inverse normal function.

so, the p-value is 0.1151, you would look up the corresponding z-score in a table of standard normal probabilities and find that it is approximately 1.19984.

Therefore, the test-statistic (z-score) is 1.19984.

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Answer:

58

Step-by-step explanation:

error: 64+2p = 180.  he missed 1 p.

so 2p =180-64

p = 58

Answer: 599 times

Step-by-step explanation: 3594/6=599

If the pizza is divided in to four equal parts , then each equal part is named as "one fourth" .

The fraction is defined as a numerical value that is part of a whole. Fraction is evaluated by dividing a whole into number of parts.

For Example : 1/2 represents the half part of the whole .

The pizza is divided into four equal part ;

So , the total number of parts in the pizza is = 4 parts ,

one part of the pizza will be written in fraction form as : 1/4 ;

We can say that each pizza slice is 1/4 of whole pizza and  1/4 is read out  as "one fourth".

The given question is incomplete , the complete question is

What fraction names the 4 equal parts of the whole pizza ?

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The number of cups of soda Sidney will use for 15 cups of ice cream is 45 cups of soda.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

From the table,

3.5 cups of ice cream = 10.5 cups of soda.

This means,

1 cup of ice cream = 3 cups of soda.

Multiply 15 on both sides.

15 cups of ice cream = 45 cups of soda.

Thus,

45 cups of soda are used.  

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Linear function would better model the data because as x increases, the y values change additively. The common difference of this function is approximately 159.

A function is classified as exponential if when the input variable is changed by one, the output variable is multiplied by a constant.

A function is classified as linear if when the input variable is changed by one, the output variable is increased/decreased by a constant.

For this problem, the function is classified as linear, as the difference between consecutive terms is of approximately 159, while the ratios are different.

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The length of the room are y2 – 5y = 750 , y(y – 5) + 750 = 0 and (y + 25)(y – 30) = 0

it is important to note that the formula for calculating the area of a rectangle is expressed as;

A = lw

Such that;

From the information given, we have that;

Length = y

Width = y - 5

Area = 750 square feet

Substitute the values into the formula

750 =y(y - 5)

expand the bracket

750 = y² - 5y

y² - 5y- 750 = 0

This is factorized to give;

(y + 250 (y - 30)

Hence, the expression is y² - 5y- 750 = 0

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Answer: The formula for population growth of bacteria with a constant doubling time is P = Po*2^(t/d), where P is the population after t hours, Po is the initial population, t is the time in hours, and d is the doubling time.

Given the initial population of 8600 bacteria and a doubling time of 5 hours, we can substitute these values into the formula:

P = 8600 * 2^(7/5)

To find the population after 7 hours, to the nearest whole number, we can use a calculator to calculate 2^(7/5) which is approximately 3.7 and then multiply it with the initial population.

P = 8600*3.7

P = 31420

So, the population of bacteria in the culture after 7 hours will be around 31420.

Step-by-step explanation:

Answer:

b) 30°

Additional information:-

Step-by-step explanation:

We know that,

→ The other two angles of the isosceles triangles are equal.

Formula we use,

→ <A + <B + <C = 180°

Forming the equation,

→ 120° + x + x = 180°

Now the value of x will be,

→ 120° + x + x = 180°

→ 120° + 2x = 180°

→ 2x = 180° - 120°

→ 2x = 60°

→ x = 60°/2

→ [ x = 30° ]

Hence, option (b) is correct.