Determine two unique values of 0 in the interval [0, 2pi)such that sin 0 = 1/2. ( picture included)

Answer:

D

Step-by-step explanation:

[tex]100(1 + \frac{016}{12}) ^{12(20)}[/tex]

331.02

Answer:

D. $220.00

Explanation :

Pt(1+r/n) n

The required answers are,

a) 675.75 [tex]ft^2[/tex]

b) 9.46 gallons or we can say that 10 gallons needed.

c) $183.2

The amount of unit squares that cover a closed figure's surface is its area. Area is measured in square units like cm² and m². Area of a shape is a two dimensional quantity. The term “area” refers to the space inside the boundary or perimeter of a closed shape.

Now in the given question,

Area of Walls:

[tex]A(walls)=2(11*8)+2(20*8)\\A(walls)=2(88)+2(160)\\A(walls)=176+320\\A(walls)=496 ft^2[/tex]

Area of 2 windows:

[tex]A(windows)=2(3*4)\\A(windows)=2*12\\A(windows)=24 ft^2[/tex]

Area of door:

[tex]A(door)=2.5*6.5\\A(door)=16.25 ft^2[/tex]

Area of walls to be painted:

[tex]=A(walls)-A(windows)-A(door)\\=496-24-16.25\\=455.75ft^2[/tex]

Area of ceiling:

[tex]A(ceiling)=11*20\\A(ceiling)=220ft^2[/tex]

(a) Now total area to be painted:

A(walls to be painted)+ A(ceiling)=A(total)

[tex]A(total)=455.75 ft^2+220ft^2\\A(total)=675.75 ft^2[/tex]

(b) Number of Gallons:

coverage=71.41 ft^2 /gallon

675.75 ft^2/71.41 ft^/gal=gallons needed

9.46 gal= 10 gallons needed(approx)

(c) Cost of Paint:

You would need to buy 10 gallons at $18.32/gallon to have sufficient paint

cost=10 gallons x $18.32/gallon

=$183.2

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Answer:

k = 48.4

Step-by-step explanation:

[tex] \frac{k - 16}{6} = 5.4 \\ 6 \times \frac{(k - 16)}{6} = 5.4 \times 6 \\ k - 16 = 32.4 \\ k = 32.4 + 16 \\ k= 48.4 [/tex]

The value of the expressions are;

a. 2x² + 6

b. 3x² - 6x + 2x -6

c. y = 3

d. x = 2

From the information given, we have

a. 2x(x + 3)

expand the bracket

2x² + 6

b. (3x + 2)(x-3)

expand the bracket

3x² - 6x + 2x -6

c. 4y -2(6-y) = 6

expand the bracket

4y - 12 + 2y = 6

collect like terms

6y = 18

Then,

y = 3

d.  x(2x-4)= (2x + 1)(x-2)

expand bracket

2x² - 4x = 2x² - 4x + x - 2

collect like terms

x = 2

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Answer: 4 people

Step-by-step explanation:

As you can see the money spent is on one side of the graph and the people attending on the other. Try to go along the line of where 60 is and find where the line meets the line on 60. Look down and you can see 4.

Answer:

Step-by-step explanation:

First, add 7 to all parts of the inequality to isolate x.

-10+7 < 3x-7+7 ≤ 5+7

-3 < 3x ≤ 12

Then divide all sides by 3.

-1 < x ≤ 4

So x is greater than -1 but less than or equal to 4.

This can be written as (-1, 4] in interval notation.

If number of pencils are triple the number of pens, then the number of pens is 30

Total number of pens and pencils = 120

Number of pencil is triple the number of pens

Consider the number of pens as x

Number of pencils = 3x

Sum of the pens and pencils = 120

Then the equation will be

Number of pens +  Number of pencils = Sum of number of pens and pencils

Substitute the values in the equation

x + 3x = 120

Add the like terms

(1 + 3)x = 120

4x = 120

Move 4 to the right hand side of the equation

x = 120 / 4

x = 30

Therefore, the number of pens is 30

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Answer:

Right cylinder

Step-by-step explanation:

Right cylinder

Answer: 140

Step-by-step explanation:

Measure of each angle in a regular polygon can be determined by the equation 180(n-2)/n, where n is the number of sides. Plug in 9 to get 140 degrees.

Answer:

6x-3 - (x-1) is the expression.

You want to make sure to bring the - over both the "x" and the "-1". You end up with the expression 5x-2. I need more info to "evaluate the expression", it is not possible to evaluate it currently because of limited information on what the expression would equal.

In the linear equation y=2x+3, if x increases by 4 points, the y will increase by 8 points.

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation's graph will always be a straight line. A linear equation is expressed using the linear equation formula. There are numerous ways to accomplish this. A linear equation, for instance, can be written in standard form, slope-intercept form, or point-slope form. 

According to that,

y=2x+3 is the linear equation.

x will now rise by 4 points.

According to the data given, the calculation is as follows:

x = x + 4

So = 2(x)

= 2(x + 4) + 3

= (2x + 3) + 8

= y + 8

Eight points should be added to the y.

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Using the distributive property, we can write (z-5)(z+3) is equal to  [tex]z^2[/tex] - 2z - 15.

Let us expand the expression (z-5)(z+3).

We will distribute the terms in the first set of parentheses (z-5) to the terms in the second set of parentheses (z+3) as follows -

(z-5)(z+3) = z(z+3) - 5(z+3)

Now, we will simplify the expression by distributing z to both terms inside the first set of parentheses, and then distributing -5 to both terms inside the second set of parentheses as follows -

z(z+3) - 5(z+3) = [tex]z^2[/tex] + 3z - 5z - 15

Combining the like terms, we get,

(z-5) (z+3) = [tex]z^2[/tex] - 2z - 15

Therefore, (z-5)(z+3) is equal to  [tex]z^2[/tex] - 2z - 15.

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The height of the hill in the painting 3 inches from the left side of the picture is 30 Inches. Option C

From the information given, we have that;

We also have that the function is;

h(x) =-(x)(x-13)

Given that the distance is 3 inches

Substitute the values, we have;

h(3)= -(3)(3-13)

substract the values

h(3) = (-3)(-10)

multiply the values

h(3) = 30 inches

Hence, the value is 30 inches

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In the beginning, Sita had Rs. 64 to start with.

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

Addition and subtraction of exponents is only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.

From the given information the equation can be formed as,

4ˣ + 128 = 3.2⁽ˣ⁺³⁾.

2²ˣ + 2⁷ = 3.2⁽ˣ⁺³⁾.

Putting some arbitrary values of 'x' we gey at x = 3,

64 + 128 = 3.64.

So, In the beginning, she had 4³ rs which is 64 rs.

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Answer: 5/12

Step-by-step explanation:

- For the ease of the problem, turn them into improper fractions, so it would be:

13/3 divided by 14/5 divided by 26/7

- Next, let's turn the equation from division to multiplication. This can be done by flipping the fractions of everything being divided, so:

13/3 times 5/14 times 7/26

- We can cross out some parts of the fraction, like 13 and 26, 14 and 7, which simplifies our equation to:

1/3 times 5/2 times 1/2 = 5/12

Answer:

[tex]\dfrac{5}{12}[/tex]

Step-by-step explanation:

Given equation:

[tex]4 \frac{1}{3} \div 2 \frac{4}{5} \div 3 \frac{5}{7}[/tex]

Convert the mixed numbers into improper fractions:

[tex]\dfrac{4 \times 3+1}{3} \div \dfrac{2 \times 5+4}{5} \div \dfrac{3 \times 7+5}{7}[/tex]

[tex]\dfrac{13}{3} \div \dfrac{14}{5} \div \dfrac{26}{7}[/tex]

[tex]\textsf{Apply the fraction rule:} \quad \dfrac{a}{c}\div\dfrac{b}{d}=\dfrac{a}{c}\times \dfrac{d}{b}[/tex]

[tex]\dfrac{13}{3} \times \dfrac{5}{14} \times \dfrac{7}{26}[/tex]

Multiply the fractions:

[tex]\dfrac{13\times5\times7}{3 \times14 \times 26}[/tex]

[tex]\dfrac{455}{1092}[/tex]

The greatest common factor of 455 and 1092 is 91.

Therefore, divide the numerator and denominator by the GCF:

[tex]\dfrac{455 \div 91}{1092\div 91}=\dfrac{5}{12}[/tex]

Most data is likely to be skewed following a particular trait because when considering real life data, it is likely that it may concentrate on one end of the values on the real line as there is high uncertainty that exists with real life.

There is very little confidence that the population would behave in expected ways.

The skewed distribution implies the distribution that is not symmetrical. If a distribution is skewed it can be skewed to the left i.e. mean lies to the left of the center or skewed to the right i.e. mean lies to the right of the center of the distribution.

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Answer:

the answer will be based on which is the base and height, the area of a parallelogram is base×height(bh) so, all you have to do is multiply the base with the height. For example if the base is 7cm, height is 12cm, and the other side is 3cm. The area of the parallelogram from the question will be 84cm²

I- uhm, it makes one but, I think that's just an equation...

The areas of the scale factors 2, 3, 5, 1/2 and 2/3 are 144, 324, 900, 9 and 16 square units respectively.

The area of the right triangle = 36 square units

Scale factor of each scaled copies of the right triangles are given

Scale factor = 2

Then the area will be = Area at scale factor 1 × square of scale factor

Substitute the values in the equation

Area = 36 × 2^2

= 36 × 4

= 144 square units

Scale factor = 3

Area = 36 × 3^2

= 36 × 9

= 324 square units

Scale factor = 5

Area = 36 × 5^2

= 36 × 25

= 900 square units

Scale factor = 1/2

Area = 36 × (1/2)^2

= 36 × 1/4

= 9 square units

Scale factor = 2/3

Area = 36 × (2/3)^2

= 36 × 4/9

= 16 square units

Therefore, area of the each scale factor has been found

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The given question is incomplete, the complete question is :

A right triangle has an area of 36 square units if you draw scaled copies of this triangle using the scale factor in the table, what will the areas of these scaled copies be?

[tex] \frac{1}{8} < \frac{3}{4} [/tex]

Equity is generally defined as the difference between the value of a company’s assets and its liabilities, and is typically expressed as a dollar amount.

The formula for equity is: Equity = Assets - Liabilities To calculate equity, you would first need to calculate the value of all of the company’s assets, such as cash, investments, inventory, property, and equipment. Then, you would need to calculate the value of all of the company’s liabilities, such as accounts payable, short and long-term debt, and any other financial obligations. Once the value of the assets and liabilities have been calculated, the difference between them is the company’s equity. For example, if a company has total assets of $4,000 and total liabilities of $2,500, the equity can be calculated as follows :Equity = Assets - Liabilities Equity = $4,000 - $2,500  Equity = $1,500

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Answer:

A

Step-by-step explanation:

For any given point on a parabola,

(x,y)

If we know the axis of symmetry x=a.

We can find the other point

If the given point x value is less than the axis of symmetry

(x+2a,y)

if the given point y value is greater than axis of symmetry

(x-2a,y)

Here, since 0<3, we use the first formula to find the new point

(0+2(3),-5)=(6,-5)

So the point is A.

Answer:

Period is [tex]\mbox{\huge {\boxed{\pi }}}[/tex]

Step-by-step explanation:

Each gridline marker on the horizontal axis is π/4

The period of this function is the horizontal displacement at which the function starts to repeat itself

Looking at the function we see that the minimum value of the function is 1 and occurs first at -π/4 and then at 3π/4

So the period is 3π/4 - (-π/4) = 3π/4 + π/4 = (3/4 + 1/4)π = π

We could also double check this using another point of reference

let's take the peaks of the function
The first peak visible is at -3π/4 and the next peak at π/4

So the period = π/4 - (-3π/4) = π/4 + 3π/4 = π

Answer:

50) i. C 800cm^2

50)ii. B 120cm

Step-by-step explanation:

Use the picture in its given 2-d to mark the unknown measures. Such as, the gray rectangle on top has a bottom that is also 20 and the left side is 15.

The small horizontal jutting out on the left mid-way down is 5cm same as the 5cm just below.

When you mentally "unfold" the shape to its full rectangular shape and size, all the lengths are marked.

Use:

Area=length×width

and,

Perimeter

=L + w + L + w

There are lots of perimeter formulas, for perimeter, you just add up all the sides all the way around the shape.

see image.

The best measure of center for this data is the median, and its value is 49.

What is the median in statistics?

In statistics, the median is a measure of central tendency that represents the value separating the higher half of a dataset from the lower half.

To find the median of a dataset, the values must first be arranged in order of magnitude. If the dataset has an odd number of values, the median is the middle value. If the dataset has an even number of values, the median is the average of the two middle values.

To determine the best measure of center for this data, we need to consider the shape of the distribution. Looking at the histogram, we can see that the data is skewed to the right, with a long tail of higher values.

In this case, the median is the best measure of center, because it is not affected by the extreme values in the dataset. The median is the middle value of the dataset when it is arranged in order, and in this case, the middle value is between 49 and 50. Since there are an even number of data points, we take the average of the two middle values, which gives a median of 49.

We are given that;

The list of donation is as follows

11, 18, 35, 39, 45, 45, 46, 47, 49, 49, 50, 50, 50, 50, 56, 57, 58, 59

Now,

Mean is the middle term of the data

Here,

Middle term of data = 49

Therefore, the mean of the given list will be 49.

Therefore, the best measure of center for this data is the median, and its value is 49.

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Answer: The median of 49 is the most accurate to use, since the data is skewed.

Step-by-step explanation:

The probability of selecting a person who is either a Democrat or a woman is 0.8, or 80%.

Probability is a branch of mathematics that deals with the study of random events. It is used to predict the likelihood of an event occurring.

Let's start by finding the probability of selecting a Democrat. We are given that there are 60 Democrats in the group of 100 people. Therefore, the probability of selecting a Democrat at random is:

P(Democrat) = 60/100 = 0.6

Next, let's find the probability of selecting a woman. We are given that there are 60 women in the group of 100 people. Therefore, the probability of selecting a woman at random is:

P(Woman) = 60/100 = 0.6

Now, we need to find the probability of selecting both a Democrat and a woman. We are given that 40 of the Democrats are women. Therefore, the probability of selecting a woman who is also a Democrat is:

P(Democrat and Woman) = 40/100 = 0.4

To find the probability of selecting a person who is either a Democrat or a woman, we add the probabilities of selecting a Democrat and selecting a woman, and then subtract the probability of selecting both a Democrat and a woman. Therefore, the probability of selecting a person who is either a Democrat or a woman is:

P(Democrat or Woman) = P(Democrat) + P(Woman) - P(Democrat and Woman)

= 0.6 + 0.6 - 0.4

= 0.8

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The probability that the department store will get at most 3 calls in a 55 minute period is 0.066

The Poisson distribution is a discrete probability function that means the variable can only take specific values in a given list of numbers, probably infinite. A Poisson distribution measures how many times an event is likely to occur within “x” period of time.

It is given that a department store gets an average of 16 calls in a 2 hour or 161055 = 223 calls per minute

Find the probability by Poisson distribution with parameter

λ = 223

P(X = x) = λˣе - λx!

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

   = (223)⁰е - 223(0!) +(223)¹е - 223(1!) +(223)²е - 223(2!) +(223)³е - 223(3!)

  = 0.0006 + 0.004 + 0.018 + 0.043

P(X ≤ 3) ≈ 0.066

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Not sure but i think it's 6.3.

Pythagoras theorem

a²+b²=c²

6.9 is the hypotenuse (c)

2.9 is the base (b)

a is the altitude of the wall or the height of the wall (a)

a²+2.9²=6.9²

a= 6.3

Answer:its a graph

Step-by-step explanation:

Answer:

Step-by-step explanation:

a. Fishman, Goron, Smith, other.

b. 98 people

Use the percent formula:

P% of number = x in this case it's 35/100 * 280 = x

x = 98

c. No because it is estimated. I typed it into my calculator and when I did the percentage formula with other and used 280 as my other number, I get 28, when it says 40 people had voted for other.