Find the greatest number of classes kangsonga can afford to take this semester

Answer:

Nice

Step-by-step explanation:

Karma..... ;)

Answer:

The answer is 4

1. Find the graph of the parabola attached below

2. Vertex (-4, 2)   Focus (-7/2, 2)  Directrix (x = -9/2)  Endpoints (-7/2, 1) (-7/2, 3)

For the parabola,  x = 1/2(y-2)² - 4 we will use the equation x = 4p(y-k)² + h,

Vertex → (h, k)

In our given equation, (y - 2) → (y - k), so k = 2. The term on the rightmost side of our equation (-4) → h in the form, so we know h = -4. ∴  vertex (-4, 2).

focus → (h, k) = (-4, 2); P = 1/2

Parabola is symmetric around the x axis and so the focus lies a distance P, from the center, along the x axis.

∴  Focus is (-4 + p, 2)

(-4 + 1/2, 2) ⇒ (-7/2, 2)

directrix → x = d

Parabola is symmetric around the x axis and therefore the directrix is a line paralled to the y axis a distance away from the ceter (-4, 2) x coordinate.

∴ x = -4 - p   ⇒ x = -4 - 1/2

x = 9/2

focal chord endpoints →

The focus of the parabola is (-7/2, 2).

The y-coordinate of the focus is 2, so the y-coordinates of the endpoints of the focal chord are 2 + 1 and 2 - 1, → 3 and 1.

Therefore, the endpoints of the focal chord are:

(-7/2, 3) and (-7/2, 1).

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Answer:

\( \frac{7}{2} \)

Step-by-step explanation:

\( \frac{3! + 0!}{2! \times1! } = \frac{(3 \times 2 \times 1) + 1}{(2 \times 1) \times 1} = \frac{6 + 1}{2} = \frac{7}{2} \)

Answer:

634

Step-by-step explanation:

it started 759 under went up 125 feet

use the equation 759-125=634

Answer: -6a-15b+12y+6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the numbers are x and y.

The equations:

Solve by elimination, add up the equations:

Find y:

The answer is explained below.

In order to be considered a language, a system of communication must have vocabulary, grammar, syntax, and people who use and understand it. Mathematics meets this definition of a language. Linguists who don't consider math a language cite its use as a written rather than spoken form of communication.

Mathematics is pure language - the language of science. It is unique among languages in its ability to provide precise expression for every thought or concept that can be formulated in its terms. In a spoken language, there exist words, like "happiness", that defy definition.

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The cost of 1 bottle of water when sold in a 24-pack case with a case price of $7.50 is $0.3125 or 31.25 cents.

The given equation is 24b = t, where b is the cost of one bottle of water and t is the price of a case of 24 bottles.

We are given that the price of the case is $7.50. Substituting this value in the equation, we get:

24b = 7.50

To solve for b, we need to isolate it on one side of the equation. We can do this by dividing both sides by 24:

b = 7.50/24

Simplifying this expression, we get:

b = 0.3125

Therefore, the cost of 1 bottle of water when sold in a 24-pack case with a case price of $7.50 is $0.3125 or 31.25 cents. In other words, if you were to buy a case of 24 bottles of water for $7.50, each bottle of water would cost you about 31.25 cents.

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For the given linear equation y = (1/4)*x + 5/4.

Here we have the linear equation:

y = (1/4)*x + 5/4.

to check if (1, 1.5) is a solution we need to evaluate this in x = 1 and see if we get 1.5.

y = (1/4)*1 + 5/4

y = 6/4 = 3/2 = 1.5

Then (1, 1.5) is a solution.

For the second point we evaluate in x = 12.

y = (1/4)*12 + 5/4

y = 3 + 5/4 = 4.25

So (12, 4) is not a solution.

Finally, to find the x-intercept, we evaluate in y = 0.

0 = (1/4)*x + 5/4

-4/5 = (1/4)*x

4*(-4/5) = x

-16/5 = x

The x-intercept is (-16/5, 0).

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It would take a total of 20 days to produce the batch of pens.

Let's calculate the work done by the 3 machines for the first 8 days:

Work done by 3 machines in 8 days = (3/12) * 8 = 2 days' worth of work

The remaining work that needs to be done by all 12 machines is:

Remaining work = 1 - (2/20) = 0.9

Now, we can use the work formula to find the total number of days needed to complete the remaining work with 12 machines:

Total work = 0.9

Work done by 12 machines in one day = 12/20 = 0.6

Total number of days needed = 0.9/0.6 = 1.5

Therefore, the total number of days needed to produce the batch of pens is:

8 (days with 3 machines) + 1.5 (days with 12 machines) = 9.5 days

However, we also need to add the 10.5 days it would take for all 12 machines to complete the batch from the beginning:

10.5 + 9.5 = 20 days

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If you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.

To calculate the Social Security tax, we need to know the tax rate for Social Security and the taxable wages. Let's assume the Social Security tax rate is 6.2% for both the employee and the employer.

Given that your taxable wages for Social Security purposes are $1,100, and your previous taxable wages are $102,000, we can determine the Social Security tax amount.

First, we need to calculate the Social Security tax on the previous taxable wages of $102,000. Multiply $102,000 by 6.2% (0.062) to find the Social Security tax for that amount:

Social Security tax = $102,000 x 0.062 = $6,324

Next, we calculate the Social Security tax on the current taxable wages of $1,100. Multiply $1,100 by 6.2% to find the tax amount:

Social Security tax = $1,100 x 0.062 = $68.20

Therefore, if you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.

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The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.

The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.What is the meaning of the inequality symbols?The inequality symbols are mathematical symbols that are used to compare two values.

They indicate the relationship between two values that are not equal to each other. Here are the inequality symbols:

< (less than)≤ (less than or equal to)> (greater than)≥ (greater than or equal to)What is the meaning of the sequence?

A sequence is a set of numbers arranged in a particular order. The order of the numbers in a sequence can be from smallest to largest or largest to smallest.

The sequence D. 2.14 < 2.8 < 3.16227766017 is arranged from smallest to largest because the first number in the sequence, 2.14, is the smallest, and the last number in the sequence, 3.16227766017, is the largest.

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The area of the shaded portion in the equilateral triangle with sides 6 is 9√3 - 36π.

To find the area of the shaded portion in the equilateral triangle, we need to determine the area of the three arcs and subtract it from the area of the equilateral triangle.

First, let's find the area of one arc. Each arc has a radius equal to the length of the side of the equilateral triangle, which is 6. The formula for the area of a sector is A = (θ/360)πr², where θ is the central angle in degrees.

In an equilateral triangle, each interior angle measures 60 degrees, so the central angle of the arc is 120 degrees (360 degrees divided by 3). Plugging these values into the formula, we get A_arc = (120/360)π(6)² = (1/3)π(6)² = 12π.

Since there are three identical arcs, the total area of the arcs is 3 times the area of one arc, which is 3(12π) = 36π.

Now, let's find the area of the equilateral triangle. The formula for the area of an equilateral triangle is A_triangle = (√3/4)s², where s is the length of a side.

Plugging in the value of the side length, we have A_triangle = (√3/4)(6)² = (√3/4)(36) = 9√3.

Finally, we subtract the area of the arcs from the area of the equilateral triangle to find the shaded portion's area: A_shaded = A_triangle - A_arc = 9√3 - 36π.

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Answer:Triangular Pyramid Solved Examples Example 1: Find the surface area of a triangular pyramid with the base area is 28cm.sq., the perimeter is 20cm, slant length is 5cm. Solution: Surface area = [Base area] + ½ × Perimeter × [Slant length] = 28 + ½ × 20 × 5 = 28 + 50 = 78 cm.sq.

Step-by-step explanation:

The midpoint is the point that divide a segment into two equal halves, while the distance between points is the number of units between both points.

The distance between

The coordinate of midpoint of:

The distance in a coordinate geometry is calculated using: \(d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\).

The distance between points is calculated as follows:

(1,-4.6) and (3,7)

\(d = \sqrt{(1 - 3)^2 + (-4.6 - 7)^2}\)

\(d = \sqrt{138.56}\)

\(d = 11.77\)

(-6,-5) and (2,0)

\(d = \sqrt{(-6 - 2)^2 + (-5 - 0)^2}\)

\(d = \sqrt{89}\)

\(d = 9.43\)

(-1, 4) and (1-1)

\(d = \sqrt{(-1 - 1)^2 + (4 - -1)^2}\)

\(d = \sqrt{29}\)

\(d = 5.39\)

(0.-8) and (3,2)

\(d = \sqrt{(0 - 3)^2 + (-8 -2)^2}\)

\(d = \sqrt{109}\)

\(d = 10.44\)

The midpoint (M) is calculated using: \(M = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})\)

The coordinate of midpoint is calculated as follows:

(5, 8) and (-1,-4)

\(M = (\frac{5-1}{2},\frac{8-4}{2})\)

\(M = (\frac{4}{2},\frac{4}{2})\)

\(M = (2,2)\)

(-5,9) and (-2,7)

\(M = (\frac{-5-2}{2},\frac{9+7}{2})\)

\(M = (\frac{-7}{2},\frac{16}{2})\)

\(M = (-3.5,9)\)

(-3,-7) and (13.-5)

\(M = (\frac{-3+13}{2},\frac{-7-5}{2})\)

\(M = (\frac{10}{2},\frac{-12}{2})\)

\(M = (5,-6)\)

(12,-6) and (-8,5)

\(M = (\frac{12-8}{2},\frac{-6+5}{2})\)

\(M = (\frac{4}{2},\frac{-1}{2})\)

\(M = (2,-0.5)\)

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Answer:

hope this helps you out.

Answer:

9%

Step-by-step explanation:

Count the squares side which is 10

Then Count the bootom side of the square which is 10

10 x 10 =100

Now count how many squares are filled. 9

9/100=9%

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

Total value = b

Percentage = a/b x 100

The percent modeled is 9%.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

Total value = b

Percentage = a/b x 100

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Number of cells in the box = 100

Number of shaded cells = 9

The percentage of the shaded cells.

= (Number of shaded cells / Total number of cells) x 100

= 9/100 x 100

= 9%

Thus,

The percentage of shaded cells is  9%

The percent modeled is 9%.

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The expressions are x=9°+n.36° and x= -9°+n36°.

So, options C and D are correct.

A finite combination of symbols that are well-formed in accordance with context-dependent rules is referred to as an expression or mathematical expression in mathematics. Mathematical symbols can represent variables, operations, functions, brackets, punctuation, and grouping to help specify the logical syntax and order of operations. Lambda expressions are a new class of expressions that Alonzo Church and Stephen Kleene introduced in the 1930s for formalizing functions and their evaluation. In mathematical logic and the theory of programming languages, they serve as the foundation for the formal system known as lambda calculus.

Given,

4cos(10x)+2=2

4cos(10x)=0

cos(10x)=0

10x=90°+n360°

x=(90°/10°)+n(360°/10)

x=9°+n.36°

(or)

10x= -90°+n360°

x= -9°+n36°

Therefore, the expressions are x=9°+n.36° and x= -9°+n36°

Hence, options C and D are correct.

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Answer:

16

Step-by-step explanation:

4^2 = 16

4×4=16 thats the answer

The most reasonable unit of measurement for 3) is option (C): \(m^2\), 4) is option (B): \(km^2\), 5) is \(in^2\).

3) The most reasonable unit for the measurement of the baseball field is \(m^2\) because the baseball field covers a large distance which is not accurately measured by small units  \(cm^2\) or \(mm^2\)  where it is not that big to be measured in large units like \(km^2\). So option C is the correct option.

4) The most reasonable unit for the measurement of a lake is \(km^2\) because lakes are generally very large water bodies that cover a large distance and are not accurately measured by small units like \(cm^2\) , \(mm^2\) , and \(m^2\). So option B is the correct option.

5) The most reasonable unit for the measurement of the area of a door is \(in^2\) because doors are relatively small compared to the other options and are often measured in square inches or square feet. So option B is the correct option.

Therefore the correct answers question-wise are:

3) \(m^2\)

4) \(km^2\)

5) \(in^2\)

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If Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.

To represent the number of bags of pears, b, that Natalie sells at the Saturday market, we can use the following equation:

b = total_number_of_pears / pears_per_bag

In this equation, "total_number_of_pears" represents the total quantity of pears Natalie has, and "pears_per_bag" represents the number of pears she puts in each bag.

Given that Natalie has a total of 48 pears, we can substitute the value into the equation:

b = 48 / pears_per_bag

Now, we need to determine the number of pears she puts in each bag. The information provided states that Natalie sells bags of pears, and each bag is sold for $5. However, the specific number of pears per bag is not given. To proceed, we need this information.

Let's assume that Natalie puts 4 pears in each bag. We can substitute this value into the equation:

b = 48 / 4

Simplifying the equation gives:

b = 12

So, if Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.

It's important to note that the specific value of "pears_per_bag" will affect the final result. If Natalie puts a different number of pears in each bag, the equation will yield a different number of bags sold.

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side of rhombus: 2.44 inch

Use the sine rule:

\(\sf \dfrac{sin(A)}{a} = \dfrac{sin(B)}{b}\)

=============                       Let the side be "b"

\(\rightarrow \sf \dfrac{sin(110)}{4} = \dfrac{sin(35)}{b}\)

\(\rightarrow \sf b = \dfrac{sin(35)*4}{sin(110)}\)

\(\rightarrow \sf b = 2.441549178\)

\(\rightarrow \sf b =2.44 \ in\)

Answer:

3.5 in (nearest tenth)

Step-by-step explanation:

Properties of a rhombus:

Therefore, a rhombus is made up of 4 congruent right triangles.

** see attached diagram **

To find the side length of the rhombus, we need to calculate the hypotenuse of the right triangle.

As the shorter diagonal is 4 in, the base of the right triangle is 2 in

The angles that measure 110° are the angles by the shorter diagonal.  Therefore, the base angle of the right triangle is 55°

Using cos trig ratio:

\(\sf \cos(\theta)=\dfrac{A}{H}\)

where:

Given:

\(\implies \sf \cos(55^{\circ})=\dfrac{2}{x}\)

\(\implies \sf x=\dfrac{2}{\cos(55^{\circ})}\)

\(\implies \sf x=3.486893591...\)

Therefore, the side of the rhombus is 3.5 in (nearest tenth)

The unknown angle measures are d = 76, c = 53, a = 51 and b = 76

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

The lines

The sum of angles on a line is 180

So, we have

b = 180 - 51 - 53

b = 76

By vertical angle theorems, we have

d = 76

c = 53

a = 51

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Answer

La respuesta es 264.00

The given function y = 4(3/8)^x represents exponential decay.

As x increases, the value of y decreases at an increasingly rapid rate, reflecting the decay behavior of the function.

The given function is y = 4(3/8)^x. To determine if the function represents growth, decay, or neither, we need to examine the base of the exponent, which is (3/8).

When the base of an exponential function is between 0 and 1, such as (3/8) in this case, it represents exponential decay. This is because as the exponent (x) increases, the value of the function decreases.

In the given function, the coefficient 4 multiplied by the decaying exponential term (3/8)^x indicates that the function starts with an initial value of 4 and then exponentially decreases. The term (3/8)^x represents the decay factor, where x determines the extent of decay.

Therefore, we can conclude that the given function, y = 4(3/8)^x, represents exponential decay. As x increases, the value of y decreases at an increasingly rapid rate, reflecting the decay behavior of the function.

In summary, the given function y = 4(3/8)^x represents exponential decay.

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The domain of a function is the set of x values the function uses as inputs; from a graph the domain is the x-values that the graph take on the x-axis; in this case, since we have an infinite amount of x-valeus the function uses we will write the domain as an interval. The domain is:

Similarly, the range is the set of values the function takes on the y-axis, from the graph we notice that the range is:

we have the equation

Find the first solution

(x-3)=11

adds 3 both sides

x-3+3=11+3

x=14

Find the second solution

-(x-3)=11

Multiply

Answer:

You have for uncooked eggs left.

Step-by-step explanation:

9 (total amount of eggs) - 5 (eggs left after she cooks) = 4 eggs cooked.