X
I ㅗ
]
Factor: -2/3
out of -3X
- 12

Answer:

1,8586

Step-by-step explanation:

Given data:

Vincent turned his head 30° to the side.

The figure in the option b is the angle that he turned his head.

Answer:

3

Step-by-step explanation:

annie has 3 left. 5-2=3

Answer:

it depends

Step-by-step explanation:

if your talking about Annie then she has THREE apples.

if your talking about the person she gave the apples to, then that person has TWO apples.

Answer:

Answer given below

Step-by-step explanation:

When we calculate the LCM, you get it as 6.

So both the fractions should have a denominator 6.

For that, in 2/3 we should multiply both numerator and denominator with 2 so that denominator becomes 6.

When we convert to like fraction, 2/3 becomes 4/6.

Now both the fractions have common denominator

Hope it helps.

Carrying value on June 30, 2024  is $176 million, total  Interest revenue  is $12.44 million

To calculate the interest revenue for the first six months, we need to find the carrying value of the bonds on June 30, 2024.

The carrying value is the purchase price plus the accrued interest, which is calculated as follows:

Accrued interest = Face value x Coupon rate x Time

where Time = 6/12 = 0.5 (since interest is paid semiannually)

Accrued interest = $200 million x 6% x 0.5 = $6 million

Carrying value on June 30, 2024 = Purchase price + Accrued interest

= $170 million + $6 million

= $176 million

The interest revenue for the first six months is calculated as follows:

Interest revenue = Carrying value x Market rate x Time

= $176 million x 8% x 0.5

= $7.04 million

For the second six months, the carrying value is the fair value of $180 million, since the bonds were revalued at December 31, 2024.

The interest revenue for the second six months is calculated as follows:

Interest revenue = Carrying value x Coupon rate x Time

= $180 million x 6% x 0.5

= $5.4 million

Total interest revenue = Interest revenue for first six months + Interest revenue for second six months

= $7.04 million + $5.4 million

= $12.44 million

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There are several ways to divide numbers, one of them is by using long division.

The question is incomplete, so I will given a general explanation on how to perform long division.

Take for instance:

\(\mathbf{56 \div 9}\)

First, divide 56 by 9; the result is 6 (ignore the remainder)

\(\mathbf{56 \div 9 = 6}\)

Multiply 6 by 9

\(\mathbf{6 \times 9 = 54}\)

Subtract 54 from 56

\(\mathbf{56 - 54 = 2}\)

Next, divide 2 by 9; the result is 0 (ignore the remainder)

\(\mathbf{2 \div 9 = 0}\)

A division that gives 0, means that: the dividend of the division is the remainder.

So, the result of \(\mathbf{56 \div 9}\) is 6 with a remainder of 2.

i.e.

\(\mathbf{56 \div 9 = 6\ R 2}\)

To know if the result is correct, we make use of the following formula:

\(\mathbf{Dividend = Quotient \times Divisor + Remainder}\)

In this case:

\(\mathbf{Dividend = 56}\)

\(\mathbf{Quotient = 6}\)

\(\mathbf{Divisor = 9}\)

\(\mathbf{Remainder = 2}\)

So, we have:

\(\mathbf{Dividend = Quotient \times Divisor + Remainder}\)

\(\mathbf{56 = 6 \times 9+ 2}\)

\(\mathbf{56 = 54+ 2}\)

\(\mathbf{56 = 56}\)

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The surface area of a rectangular prism is 48 5/6 mi².

In Mathematics and Geometry, the surface area of a rectangular prism can be calculated and determined by using this mathematical equation or formula:

Surface area of a rectangular prism = 2(LH + LW + WH)

Where:

By substituting the given side lengths into the formula for the surface area of a rectangular prism, we have the following;

Surface area of rectangular prism = 2[6 × 2 1/3 + (1 1/4 × 6) + (1 1/4 × 2 1 /3)]

Surface area of rectangular prism = 2[14 + 15/2 + 35/12]

Surface area of rectangular prism = 48 5/6 mi².

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Value of an exterior angle of a triangle is equal to the sum of values of two opposite interior angles of a triangle.

\(\qquad\displaystyle \tt \dashrightarrow \: 5x + 10 = 40 + 70\)

\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 110 - 10\)

\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 100\)

\(\qquad\displaystyle \tt \dashrightarrow \: x = 100 \div 5\)

\(\qquad\displaystyle \tt \dashrightarrow \: x = 20\)

Value of x = 20°

Hey! there . Thanks for your question :)

Answer:

Step-by-step explanation:

In this question we are given with two interior angles of the triangle that are 40° and 70° , also we are given an exterior angle that is (5x + 10)°. And we are asked to find the value of angle x.

Solution :-

For finding the value of angle x , we have to use exterior angle property of triangle which states that sum of opposite interior angles of triangle is equal to the given exterior angle. So :

Step 1: Making equation :

\( \longmapsto \: \sf{40 {}^{°} + 70 {}^{°} = (5x + 10) {}^{°} }\)

Solving :

\( \longmapsto \: \sf{110 {}{°} = (5x) {}^{°} +10 {}^{°} }\)

Step 2: Subtracting 10 on both sides :

\( \longmapsto \sf{ 110 {}^{°} - 10 {}^{°} = 5x + \cancel{10 {}^{°}} - \cancel{10 {}^{°} } }\)

We get ,

\( \longmapsto \sf{(5x ){}^{°} = 100 {}^{°} }\)

Step 3: Dividing both sides by 5 :

\( \longmapsto \dfrac{ \cancel{5}x {}^{°} }{ \cancel{5}} = \dfrac{ \: \: \: \: \cancel{ 100} {°}^{} }{ \cancel{5} }\)

On cancelling , we get :

\( \longmapsto \underline{\boxed{\red{\sf{ \bold{ x = 20 {}^{°} }}}}} \: \: \bigstar\)

Verification :-

For verifying sum of both the interior angles is equal to given exterior angles. As we get the value of x as 20 we need to substitute it's value in place x and then L.H.S must be equal to R.H.S :

Therefore , our answer is correct .

Answer:

Both A and B

Step-by-step explanation:

Both a and b. A three-way intersection can be referred to as a T-intersection or a Y-intersection, depending on the shape of the intersection. In a T-intersection, one road intersects another road perpendicularly, forming a T-shape. In a Y-intersection, one road splits into two branches, forming a Y-shape.

Answer:

Step-by-step explanation:

Let's break down the expression step by step:

Nine raised to the power of 1/3:

9^(1/3) = ∛9 = 2.0801

Twenty-seven raised to the power of 1/2:

√27 = 5.1962

Two raised to the power of 1/6:

∛2 = 1.1225

Combining the previous results:

(2.0801 * 5.1962) / 1.1225

Three raised to the power of 1/3:

∛3 = 1.4422

Combining the final result:

(2.0801 * 5.1962) / 1.1225 * 1.4422

(2.0801 * 5.1962) / 1.1225 * 1.4422 ≈ 9.7085

Therefore, the value of the given expression is approximately 9.7085.

Step-by-step explanation:

to control fever a doctor recommend that a child should be given one mg of certain medicine for every 0. 07 kg body weight if the those is proportional to the body weight of the child then the quantity of medicine for a child of body weight to 24.92 kg

The term "100 points" usually indicates a high level of achievement or success in a particular area.

The term "100 points" can refer to a number of different things depending on the context. For example, in sports, it could refer to a team scoring 100 points in a game.

In wine tasting, it could refer to a perfect score given to a wine by a critic or judge. In school, it could refer to receiving a perfect score on an exam or assignment worth 100 points.

It's important to note that while a perfect score of 100 points is often seen as the ultimate goal, it's not always necessary or even possible in some situations. In many cases, simply doing your best and striving for improvement is enough to be considered successful.

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Answer:

1-   1+2+3+4+5 = 15

Step-by-step explanation:

The minimum point on the graph is \((-6,25)\), which confirms that the function has a minimum at\(-6\).

In mathematics, a graph is a diagram that shows the relationship between different sets of data. It is made up of points, which are also called vertices or nodes, that are connected by lines or curves called edges or arcs.

In mathematics, a function is a relation between two sets of data, such that each input in the first set corresponds to exactly one output in the second set. In other words, a function maps each input value to exactly one output value.

According to given information:

Let's start by writing the quadratic function in factored form, given that it has zeros at \(-1\) and \(-11\):

\(f(x) = a(x- (-1))(x- (-11))\)

Simplifying, we get:

\(f(x) = a(x+1)(x+11)\)

To find the value of a, we need to use the fact that the function has a minimum at \(-5\). Since the vertex of the parabola is at the minimum point, we know that the x-coordinate of the vertex is \(-5\). Therefore, we can use this information to find the value of a as follows:

\(-5 = (-1+(-11))/2\\-5 = -6\)

This tells us that the axis of symmetry of the parabola is \(x =-5\). Since we know that the function has zeros at \(-1\) and \(-11\), we can deduce that the vertex must lie halfway between these two zeros, at\(x = -6\). Therefore, the value of a is:

\(f(-6) = a((-6)+1)(-6) +11) = a(5) (-1) = -5a\)

We also know that the function has a minimum at this point, so we can use this to find the value of a:

\(f(-6) = -5\\-5= -5a\\\\a = 1\)

Therefore, the quadratic function that satisfies these conditions is:

\(f(x) = (x+1) (x+11)\)

We can check that this function has zeros at \(-1\) and \(-11\), and that it has a minimum at\(x =-6\) by finding its vertex:

x-coordinate of vertex = \((-1 +(-11))/2 =-6\)

y-coordinate of vertex =\(f(-6) = (-6+1)(-6+11) = 25\)

Therefore, the minimum point on the graph is \((-6,25)\), which confirms that the function has a minimum at -6.

Which of the following function has zeros at \(-1\) and\(-11\) and a minimum of \(-5\) ?

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Answer:

y = 3x - 10

Step-by-step explanation:

Starting with 3x - y = 10, add y to both sides:

3x = 10 + y

Then subtract 10 from both sides:

3x - 10 = y

If you switch the sides of the equation, it can also be written as:

y = 3x - 10

Answer:

Top left should be the answer.

Answer:

the answer is 84

hope this helped

The following could sufficiently display the data if only the two given categories are to be included is either a pie chart or a bar graph.

Any chosen person may fall into one of the categories. Consequently, a bar graph or a pie chart might both depict the data effectively.

So, the choice is between a pie chart and a bar graph.

In order to show mathematical issues, the "pie chart," often referred to as a "circle chart," divides the circular statistical visual into sectors or portions. A proportionate amount of the entire is indicated by each sector. The Pie-chart is now the most effective method for determining the composition of something. 

Bar graphs or bar charts are visual depictions of groups of data that are made up of vertical or horizontal rectangular bars with lengths that are equal to the data's measure.

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The answer to the parts are a function that would be shown in the main body.

What is a function?

A function is an association between inputs in which each input has a unique value to one or more outputs.

Main body:

Let the selling price of the car be x to represent it as a function.

A. f(x)= x-(20/100)x

   f(x)  =(4/5)x

B. f(x)= x-500 as the rebate is $500.

C. f(x) = x-500-x/5

    f(x) = (4/5)x -500

Hence the answer is as follows.

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The number of workers that is closest to but not more than the point of highest MPL is 3. and the number of workers resulting in the highest level of average product of labor is also closest to 3.

To find the marginal product of labor, we need to calculate the additional output produced by each additional unit of labor.

We can calculate this by finding the change in the total product (TP) for each additional unit of labor. The table gives us the following information:

When there are 0 workers, TP = 0

When there is 1 worker, TP = 150

When there are 2 workers, TP = 320

When there are 3 workers, TP = 510

When there are 4 workers, TP = 660

When there are 5 workers, TP = 800

Using this information, we can calculate the marginal product of labor (MPL) as follows:

MPL of the 1st worker = TP of 1 worker - TP of 0 workers = 150 - 0 = 150

MPL of the 2nd worker = TP of 2 workers - TP of 1 worker = 320 - 150 = 170

MPL of the 3rd worker = TP of 3 workers - TP of 2 workers = 510 - 320 = 190

MPL of the 4th worker = TP of 4 workers - TP of 3 workers = 660 - 510 = 150

MPL of the 5th worker = TP of 5 workers - TP of 4 workers = 800 - 660 = 140

We can see that the highest marginal product of labor is 190, which occurs when there are 3 workers. Therefore, the number of workers that is closest to but not more than the point of highest MPL is 3.

complete question:

1. Using the data in the table, the number of workers resulting in the highest level of average product of labor is closest to:

Group of answer choices

3

4

5

Cannot be determined from the information given.

2. Using the data in the table, the marginal product of labor is highest if the number of workers is closest to but not more than:

Group of answer choices

3

4

2

Cannot be determined from the information given.

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Answer:

A=0.9

B=0.855

C=198

Step-by-step explanation:

Let X be the binomial random variation with parameters given bellow as

n=200

p=1-0.9=0.1

Note that the value of Z is approximate standard random normal variable with the values of Ф gotten from table

Kindly find attached a detailed solution of the problem with the right annotation and symbols

Answer:

128.08 in^2

Step-by-step explanation:

A=1/2 ab SinC

=1/2×11×24×Sin 76

The area of given triangle is 128.1 square inches.

The area of a SAS triangle is the total amount of space it encloses in a 2-dimensional plane. "SAS" which means "Side, Angle, Side", is the property of a triangle whose 2 sides and the angle between these sides is given.

The formula to calculate the area of a triangle using SAS is given as,

1. When sides 'b' and 'c' and included angle A is known, the area of the triangle is: 1/2 × bc × sin(A)

2. When sides 'b' and 'a' and included angle B is known, the area of the triangle is: 1/2 × ab × sin(C)

3. When sides 'a' and 'c' and included angle C is known, the area of the triangle is: 1/2 × ac × sin(B)

Given

a = 24 inches

b = 11 inches

∠C=76°.

Area of SAS triangle = \(\frac{1}{2} absinc\)

Area = \(\frac{1}{2}(24)(11)sin76^{0}\)

Area = 128.079 ≅ 128.1 (nearest  tenth)

Hence, the area of given triangle is 128.1 square inches.

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wait...what?

im lost. lol

Answer:

Step-by-step explanation:

Therefore, a sample size of 68 is required to estimate the population mean with 90% confidence and a margin of error of 1, based on the given information.

The population is the total number of people who reside in a specific area. By assessing the population, we can determine the number of organisms and the appropriate course of action. For instance, if we are aware of a city's exact population, we may estimate how many resources are required there.

To calculate the sample size required to estimate a population mean with a certain level of confidence and margin of error, we can use the following formula:

n = [(z*σ)/E]^2

Where:

n = sample size

z = the z-score associated with the desired level of confidence (90% confidence corresponds to z = 1.645)

σ = the population standard deviation

E = the desired margin of error (in this case, E = 1)

Substituting the given values into the formula, we get:

n = [(1.645*5)/1]^2 = 67.65

Rounding up to the nearest whole number, we get a sample size of n = 68.

Therefore, a sample size of 68 is required to estimate the population mean with 90% confidence and a margin of error of 1, based on the given information.

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Therefore, a sample size of 68 is required to estimate the population mean with 90% confidence and a margin of error of 1, based on the given information.

The population is the total number of people who reside in a certain area. We can figure out how many organisms there are and what the best course of action is by looking at the population. For example, if we are aware of a city's exact population, we may calculate the amount of resources needed there.

To calculate the sample size required to estimate a population mean with a certain level of confidence and margin of error, we can use the following formula:

n = [(z*σ)/E]²

Where:

n = sample size

z = the z-score associated with the desired level of confidence (90% confidence corresponds to z = 1.645)

σ = the population standard deviation

E = the desired margin of error (in this case, E = 1)

Substituting the given values into the formula, we get:

n = [(1.645*5)/1]² = 67.65

Rounding up to the nearest whole number, we get a sample size of n = 68.

Therefore, a sample size of 68 is required to estimate the population mean with 90% confidence and a margin of error of 1, based on the given information.

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First, we need to find the discount. 10% of $20 is computed as follows:

Applying the discount, the price is $20 - $2 = $18

In taxes, you have to pay 1.5% of the cost, that is,

Therefore, the total cost is $18 + $0.27 = $18.27

After answering the provided question, we can state that As a result, 145.62 square feet of glass are required to cover the entire pyramid.

A pyramid is a polygon formed by connecting points known as bases and polygonal vertices. For each hace and vertex, a triangle known as a face is formed. A cone with a polygonal shape. A pyramid with a floor and n pyramids has n+1 vertices, n+1 vertices, and 2n edges. Every pyramid is dual in nature. A pyramid contains three dimensions. A pyramid is made up of a flat tri face and a polygonal base that come together at a single point known as the vertex. A pyramid is formed by connecting the base and peak. The base's edges form triangle faces known as sides that connect to the top.

To determine how much glass is required to cover the entire pyramid, we must first determine the total surface area of the pyramid, including the base.

The formula for calculating the surface area of each triangular face is:

(1/2) x width x height

27.31 square feet = (1/2) x 7 feet x 7.79 feet

24 square feet = (1/2) x 6 feet x 8 feet

Simply multiply the length and width to find the area of the rectangular base:

7 feet by 6 feet equals 42 square feet

As a result, the total surface area of the pyramid is:

145.62 square feet = 2 (27.31 square feet) + 2 (24 square feet) + 42 square feet

As a result, 145.62 square feet of glass are required to cover the entire pyramid.

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Answer: 102.53

Step-by-step explanation:  I calculated all the numbers you gave me and then added them to get 102.53

Answer:

solve 7+x-15=-2 2/3

Step-by-step explanation:

7+x-15=-2 2/3 -8+x=-8/3 x=-8/3+8 x=16/3 first question answer second question answer 5 1/3 5*3+1/3 15+1/3 16/3 3rd questiin answer 10 2/3 10*3+2/3 30+2/3 32/3 solve by this method another question