PLEASE HELP ME!

An angle is 1/3 the measure of its complement. What is the measure of the angle, the complement and the supplement?

Answer:

a = B/(2R)

Step-by-step explanation:

2Ra = B

a = B / (2R)

The mathematical function that models Autumn's situation of saving $500 that she keeps at home and does not add to the savings is G(x) = 500 + 0x.

A mathematical function is an equation, expression, rule, or law defining the relationship between the independent variable and the dependent variable.

There are many types of mathematical function, including:

The amount that Autumn saved = $500

The amount that Autumn adds to the savings = $0

Let the number of periods that Autumn saves the above amount = x

G(x) = 500 + 0x

Thus, based on the linear function above, the amount that Autumn saved would remain $500 after many periods.

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Step-by-step explanation:

A fraction is in simplest form when the top and bottom cannot be any smaller, while still being whole numbers. To simplify a fraction: divide the top and bottom by the greatest number that will divide both numbers exactly.

I hope this helps.

Step-by-step explanation:

8/3

8-3=6

6/3

6-3=

Answer:

\(4xy + 8x\)

Step-by-step explanation:

\(6xy + 13x - 2yx - 5x\)

Reoder terms

\(6xy + 13x - 2xy - 5x\)

\(4xy + 13 - 5x\)

\( = 4xy + 8x\)

MARNIE OUT!

HOPE THIS HELPS!

Answer:

The \(66\)th term is \(363\).

Step-by-step explanation:

To find the \(n\)th term, the formula is \(7n - 99\). Since we want to find the \(66\)th term, we can plug \(n\) for \(66\). So our expression is now \(7 \cdot 66 - 99 =\) \(66\)th term. Solving this we have

\(462 - 99 = 66\text{th term}\\363 = 66\text{th term}\\\). Therefore, the \(66\)th term is \(\boxed{363}\).

Answer:

a₆₆ = 363

Step-by-step explanation:

the nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = - 92 and d = a₂ - a₁ = - 85 - (- 92) = - 85 + 92 = 7 , then

a₆₆ = - 92 + (65 × 7)

      = - 92 + 455

     = 363

The function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.

To complete the square for the function g(x) = 4x² - 28x + 49, we follow these steps:

Step 1: Divide the coefficient of x by 2 and square the result.

  (Coefficient of x) / 2 = -28/2 = -14

  (-14)² = 196

Step 2: Add and subtract the value obtained in Step 1 inside the parentheses.

  g(x) = 4x² - 28x + 49

  = 4x² - 28x + 196 - 196 + 49

Step 3: Rearrange the terms and factor the perfect square trinomial.

  g(x) = (4x² - 28x + 196) - 196 + 49

  = 4(x² - 7x + 49) - 147

  = 4(x² - 7x + 49) - 147

Step 4: Write the perfect square trinomial as the square of a binomial.

  g(x) = 4(x - 7/2)² - 147

Therefore, the function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.

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The probable question may be:

Rewrite the function by completing the square.

g(x)=4x²-28x +49

g(x)= ____  (x+___ )²+____.

Answer:

y=2(x+3/4) squared -249/8

Highest Common factor of 12, 16 and 48 is 4

Answer:

highest common factor of 12, 16 and 48 is 4.

Answer:

0.5

Step-by-step explanation:

you just need see at one point. i see at point (1, 0.5)

Answer:

49.97% probability of getting one child of each sex

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they are a boy, or they are a girl. The sex of a children is independent of other children, so we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

The probability that a couple’s first child is a boy is 0.512.

This means that \(p = 0.512\)

The will have two children:

This means that \(n = 2\)

(a) What is the probability of getting one child of each sex?

This is P(X = 1).

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 1) = C_{2,1}.(0.512)^{1}.(0.488)^{1} = 0.4997\)

49.97% probability of getting one child of each sex

The number of pork sliders sold is given as follows:

24 pork sliders.

The number of pork sliders sold is obtained applying the proportions in the context of the problem.

The total number of pork sliders is given as follows:

120 pork sliders.

The percentage of pork sliders sold is given as follows:

20%. (proportion of 0.2).

Hence the amount sold is given as follows:

0.2 x 120 = 24 pork sliders.

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Answer:

x=4

Step-by-step explanation:

First subtract by doing 64 minus 36. You are left with 28, divide by 7 and your answer is 4.

Answer: X = 4

Step-by-step explanation:

7x+36=64

7x+36−36=64−36

7x=28

Divide both sides by 7.

7x

7 =

28

7

x=4

HOPE THIS HELPS!!!!!! : )

Answer:

A. \(\frac{5}{8}\) ^2

Step-by-step explanation:

Answer:

Step-by-step explanation: [-2.19] = -3

[3.67] = 3

[-0.83] = -1

The domain of this function is a group of real numbers that are divided into intervals such as [-5, 3), [-4, 2), [-3, 1), [-2, 0) and so on. This explains the domain and range relations of a step function.

This can be generalized as given below:

[x] = -2, -2 ≤ x < -1

[x] = -1, -1 ≤ x < 0

[x] = 0, 0 ≤ x < 1

[x] = 1, 1 ≤ x < 2

Answer:

y = - \(\frac{3}{2}\) x

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (0, 0) ← 2 points on the line

m = \(\frac{0-3}{0-(-2)}\) = \(\frac{-3}{0+2}\) = - \(\frac{3}{2}\) , then

y = - \(\frac{3}{2}\) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (0, 0 )

0 = - \(\frac{3}{2}\) (0) + c = 0 + c , so

c = 0

y = - \(\frac{3}{2}\) x + 0 , that is

y = - \(\frac{3}{2}\) x

Answer:

2/9

Step-by-step explanation:

Any fraction in the form 0.n repeated is in the form n/9

Based on the calculations using unit pricing, Toilet paper B has a lower unit price and is the better deal between the two. Customers will save more money if they purchase toilet paper B rather than toilet paper A because the price per mega roll is lower. (option b)

Saving money while shopping is one of the best ways to reduce your expenses and have more disposable income for other things. Unit pricing is a pricing system that displays prices in standard units, allowing customers to compare prices across different brands and package sizes and save money. To determine which toilet paper deal is better, we can use the unit price method, which divides the price by the number of units in the package. The toilet paper with the lower unit price is the better deal.
The formula for unit pricing is as follows:
Unit price = total price ÷ number of units
Using the above formula, we can calculate the unit price of toilet paper A and toilet paper B as follows:
For Toilet paper A:
Unit price = $4.59 ÷ 6 mega rolls
Unit price = $0.765 per mega roll
For Toilet paper B:
Unit price = $9.02 ÷ 12 mega rolls
Unit price = $0.751 per mega roll
Therefore, based on the calculations, Toilet paper B has a lower unit price and is the better deal between the two. Customers will save more money if they purchase toilet paper B rather than toilet paper A because the price per mega roll is lower. (option b)
Unit pricing is a great way to compare prices, and consumers should always use it to determine the better deal between two products, as this will help them save money and stick to their budget.

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-1/2x > 6

All you have to do is divide 6 by -1/2, which is -3. The answer is x < -3, the sign got flipped because you divide by a negative number.

The volume of the rectangular prism is 208cm³

Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface. The unit of volume is in cubic units such as m3, cm3, in3 etc. Sometimes, volume is also termed capacity.

The volume of a rectangular a prism is expressed as base area × height. The base area is a rectangle and the area of a rectangle is Length × width

length = 2cm

width = 13 cm

height = 8cm

base area = 13× 2 = 26cm²

Volume of the prism = 26× 8 = 208cm³

Therefore the volume of the rectangular prism is 208cm³.

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Answer:

product is right

Step-by-step explanation:

Answer:

Anger.

Step-by-step explanation:

The diameter of the top of the trash ball is 5 inch.

The diameter is the distance along the circle's center that must travel in order to touch two points on its periphery.

solution:

Given that the diameter of top of the trash can is 20 inch.

And the diameter of trash ball is 1/4th of the diameter of trash can.

The diameter of trash ball = 1/4 ( the diameter of trash can )

The diameter of trash ball = 1/4 (20 inch)

The diameter of trash ball = 20/4

The diameter of trash ball = 5 inch.

Therefore, the diameter of the top of the trash ball is 5 inch.

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Step-by-step explanation:

s =   a+b+c  / 2

=   14+6+9  / 2

=  14.5 feet

Area =  √s(s-a)(s-b)(s-c)

=  √14.5×(14.5 - 14)×(14.5 - 6)×(14.5 - 9)

ANSWER: 18.410255294265 feet^2

Answer:

To Protect the egg

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Slope = delta y/delta x

\(slope = \frac{y_1-y_2}{x_1-x_2}\)

Slope = (-3-3)/(1-2)

Slope = -6/-1

Slope = 6

Answer:

6

Step-by-step explanation:

Given :-

And we need to find the slope of the line passing through the two points . The slope of the line passing through two points is the difference of y coordinates divided by difference of x coordinates.

Substituting the respective values :-

\(:\implies\) m = y₁ - y₂/ x₁ - x ₂

\(:\implies\) m = -3 -3 / 1 - 2

\(:\implies\) m = -6/-1

\(:\implies\) m = 6

Hence the slope of the line is 6.

the way you have laid this question out is strange but im assuming you want me to find the mean, range, medium and mode of the numbers provided?

median=order them and find the middle= 6

mean=add them all up and divide by the amount of numbers=(6+13+7+9+5+3+2+5+4+10+12)/11=6.9

range= the difference between the smallest and largest number=13-2=11

mode= the one that appears the most= 5

We need to solve this trigonometry equation for x. To solve it, we can proceed as follows:

Then, we have that:

Then, the value for x with at least two decimal places is x = 0.14134 (in radians).