I really need the work and answer to these problems, i wish to understand it better

Answer: $5400

Step-by-step explanation:

x =  amount raised so far

13500 - x = amt. still needed

x/3 = (13500 - x)/2

2x = 3(13500 - x)

2x = 40500 - 3x

5x = 40500

x = 40500/5 = 8100 (amt. raised so far)

13500 - 8100 = 5400 (amt. still needed)

The probability of a sporting event being cancelled due to rain or lightning  is 6/25

This is the likelihood or chance that an event will occur.

Probability = Expected/Total

Given the following

The probability of a sporting event being canceled due to rain or lightning = 3/5 * 2/5

The probability of a sporting event being canceled due to rain or lightning = 6/25

Hence the probability of a sporting event being cancelled due to rain or lightning  is 6/25

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Answer:

To find out how much change Luke should receive if he pays the cashier $20 for a Helmond that costs $19.67, we can subtract the cost of the Helmond from the amount of money Luke pays:

$20.00 - $19.67 = $0.33

Therefore, Luke should receive $0.33 in change.

Answer:

y=1.6x-8.4

Step-by-step explanation:

First, find the slope which is  y 2 minus y 1 divided by x 2 minus x 1

Slope= 16/10 or 1.6

So now it is y=16/10x + b or y=1.6x+b

Now pick a random coordinate and substitute to find y intercept we can use the first one (29,38)

38=1.6(29)+b

y intercept = -8.4

Equation is y=1.6x - 8.4 or y=16/10x - 8.4

Hoped this helped :)

Answer:

Step-by-step explanation:

Vertex at (3, -2) means h = -3 and k = -2

f(x) = a(x - 3)² - 2  

plug in the desired point (2, 3) to find (a)

3 = a(2 - 3)² - 2

3 = a - 2

a = 5  

f(x) = 5(x - 3)² - 2  

we can expand it to get standard form

f(x) = 5(x - 3)² - 2

f(x) = 5(x² - 6x + 9) - 2

f(x) = 5x² - 30x + 45 - 2

f(x) = 5x² - 30x + 43

The Solution:

Given the graph of f(x) in the Question Section, we are required to determine the limiting value of f(x) as x tends to - 4.

That is,

From the given graph of f(x), we have that the function f(x) is 2 as x tends to - 4.

Therefore, the correct answer is 2 [option 2]

Answer:

x = 14

Step-by-step explanation:

The length of side CB to one decimal place is 89.3.

To find the length of side CB in the given triangle, we can use the sine rule. The sine rule states that in a triangle, the ratio of the length of a side to the sine of its opposite angle is constant.

In this case, we have the angle C as 53° and the side opposite to it, side CB, as the unknown. Let's denote the length of side CB as x.

According to the sine rule:

sin(C) / x = sin(A) / AB

We know that angle A is 37° and AB is 120 units. Plugging in the values:

sin(53°) / x = sin(37°) / 120

To find x, we can rearrange the equation:

x = (120 * sin(53°)) / sin(37°)

Calculating this expression gives us:

x ≈ 89.32

Rounding this value to one decimal place, the length of side CB is approximately 89.3.

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The reciprocal of 4/7 is 7/4

Answer: the answer is 2

Step-by-step explanation:

1. 5 x 2 = 10

2. 12 -10 = 2

hope this helps!!

Answer:

  8

Step-by-step explanation:

You want to know the measure of segment XY if ∆XYZ ≅ ∆MNL and MN = 8.

Segment XY is named using the first two vertices listed in the name of ∆XYZ. That means the segment is the same length as the one named by the first two vertices listed in the name of congruent ∆MNL, segment MN.

Segment MN is given as 8 units long. Segment XY is congruent, so is also 8 units long.

  XY = 8 units

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Answer:

A, C, and D

Step-by-step explanation:

Let's analyze each option:

A) As supply rises, prices generally decrease. This is true as supply and demand have an inverse relationship. The supply curve has a positive slope, showing that as the quantity supplied increases, the price increases. So, shifting the curve to the right does decrease the equilibrium price (assuming the demand curve doesn't fluctuate).

B) As demand decreases, costs generally increase. This is false because a demand curve shows that as the quantity of demand increases, the price decreases for the product. So, shifting the curve to the left only decreases the equilibrium price (assuming the supply curve doesn't fluctuate).

C) As supply decreases, prices increase. This is true because the supply curve has a positive slope, showing that as the quantity supplied increases, the price increases. So, shifting the curve to the left does increase the equilibrium price (assuming the demand curve doesn't fluctuate).

D) The average rate of change describes how much a quantity changes as price increases. This is true because the supply curve measures how much the quantity supplied increases as the price increases, while the demand curve measures how much the quantity demanded increases as the price decreases.

E) As demand rises, the price of the product decreases. This is false because a demand curve shows that as the quantity of demand increases, the price decreases for the product. So, shifting the curve to the right only increases the equilibrium price (assuming the supply curve doesn't fluctuate).

I've attached an example graph to help you visualize all of these factors.

7) The  probability that the two numbers have an even sum is: 0.5

8) The probability that the two are even is: 0.25

7) We want to find the probability that the two numbers have an even sum.

The only combinations that produces an even sum are:

(1, 3), (3, 1), (1, 1), (2, 2), (2, 4), (4, 2), (4, 4), (3, 3)

The other combinations of numbers are:

(1, 2), (1, 4), (2, 1), (4, 1), (2, 3), (3, 2), (3, 4), (4, 3)

Thus, we have a total of 16 combinations and the  probability that the two numbers have an even sum is:

P(two numbers with even sum) = 8/16 = 0.5

8) The probability that the two are even is:

4/16 = 1/4

= 0.25

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Answer:

The equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) is y = (-4/5)x + (8/5) + π.

Step-by-step explanation:

o find the equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) using implicit differentiation, we can follow these steps:

Differentiate both sides of the equation with respect to x:

cos(x+y) * (1 + dy/dx) = 4 - 4dy/dx

Simplify by grouping the terms with dy/dx on one side and the rest on the other side:

cos(x+y) * (1 + dy/dx) + 4dy/dx = 4

Substitute x = π and y = π, since we want to find the equation of the tangent line at the point (π,π):

cos(2π) * (1 + dy/dx) + 4dy/dx = 4

Simplify:

-5dy/dx = 4 - cos(2π)

dy/dx = -4/5

Use the point-slope form of the equation of a line to write the equation of the tangent line:

y - π = (-4/5)(x - π)

Simplify:

y = (-4/5)x + (8/5) + π

The equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) is y = (-4/5)x + (8/5) + π.

The percentage of the sample selected at random that would be expected to be afflicted by stress would also be = 80%

The percentage of a data set is when part of the data is represented per 100 with a symbol of %.

It was stated in the question that 80% of Americans report being afflicted by stress.

Therefore when a sample is randomly selected from an American population, the percentage that is expected to be afflicted by stress should also be 80%.

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The appropriate scale of measurement for an investor collecting data on the weekly closing price of gold throughout the year is:

a. Ratio

A ratio scale of measurement allows for meaningful comparisons of absolute differences between two values and the computation of ratios.

In the scenario of collecting weekly closing price data of gold, values such as "$1,000 per ounce" or "$2,000 per ounce" can be meaningfully compared to determine the ratio of change.

Using the ratio scale of measurement, it is possible to perform various statistical operations, such as mean, median, and standard deviation, which are meaningful and give us insights into the data.

For example, you can calculate the mean closing price for gold over a given period.

Additionally, the ratio scale allows for meaningful comparisons of magnitudes, such as "twice the value" or "half the value." Thus, a ratio scale is the most appropriate measurement scale in this scenario.

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Answer:

Step-by-step explanation:

\(3w-3=3\left(w+16\right)\)

\(3w-3+3=3w+48+3\)

\(3w=3w+51\)

\(3w-3w=3w+51-3w\)

\(0=51\)

Sides aren't equal so there is no solution.

The polynomial 3x^4 - 3x^2 - 7x is classified as a Cubic Trinomial.

The polynomial 3x^4 - 3x^2 - 7x can be classified as a Cubic Trinomial.

Here's the breakdown of the classification:

Degree: The highest power of the variable x is 4, so the degree of the polynomial is 4. Since the degree is 4, the polynomial is not cubic (which would have a degree of 3) or quintic (which would have a degree of 5).

Number of terms: The polynomial consists of three terms: 3x^4, -3x^2, and -7x. A polynomial with three terms is called a trinomial.

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Answer:Quartic trinomial

Step-by-step explanation:

Don't listen to the other guy, I put cubic and I got the answer wrong thanks to the other guy.

The conclusion that the diagram supports using the line transversal theorem is; AB/BC = FE/DE

The line transversal theorem states that If two lines and a transversal form corresponding angles that are congruent, then it means that the lines are parallel.

The question tells us that the theorem that two transversals cut by three or more parallel lines are proportionally divided by the transversals is true.

Line CD, line BE, and line AB are the given parallel lines.

Meanwhile, Line AC and line DF are the transversal lines.

Therefore, using the line transversal theorem, we have;

BC/AB = ED/FE, BC/DF = AB/FE, CA/AB = DF/FE

From BC/AB = ED/FE.

Rearranging this gives;

AB/BC = FE/DE

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Answer: B.A point is a location, and a line has many points located on it.

Step-by-step explanation:

Answer:

The answer is 60 hours.

Step-by-step explanation:

We could use proportions to solve.

\( \frac{1 \: hour \: on \: earth}{4hours \: on \: planet \: s} = \frac{x}{240hours \: on \: planet \: s} \)

\(4 \times x = 4x \\ 1 \times 240 = 240\)

\( \frac{4x}{4} = \frac{240}{4} \\ x = 60\)

Answer:

She drove 384 miles, because 48 x 8 = 384! :)

Step-by-step explanation:

The distance driven by krista is 384 miles.

If the object is going linearly, and at constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.

If the object traveled D distance in T units time, then that object's speed is

\(Speed = S = \dfrac{\: Distance \: traveled}{\: Time \: taken} = \dfrac{D}{T} \: \rm unit \: length/unit \: time\)

Given;

       speed = 48 miles per hour

       time = 8 hours

Speed= distance/time

           distance= speed x time

                          = 48 x 8

                           = 384 miles

Krista drove 384 miles of distance in 8 hours.

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The ranking from the lowest to highest APR for the given companies is A, B, D, C.

The correct option is b.

To rank the companies from the lowest to highest Annual Percentage Rate (APR) based on a $600 loan amount, we need to calculate the APR for each company. The formula to calculate APR is APR = (Fees / Loan Amount) * (365 / Terms of Loan).

Let's calculate the APR for each company:

For Company A:

APR_A = ($60 / $600) x (365 / 18) = 0.1 x 20.28 = 2.028%

For Company B:

APR_B = ($80 / $600) x (365 / 12) = 0.1333 x 30.42 = 4.054%

For Company C:

APR_C = ($90 / $600) x (365 / 10) = 0.15 x 36.5 = 5.475%

For Company D:

APR_D = ($110 / $600) x (365 / 14) = 0.1833 x 26.07 = 4.79%

Now, we can rank the companies from the lowest to highest APR:

Company A - APR: 2.028%

Company B - APR: 4.054%

Company D - APR: 4.79%

Company C - APR: 5.475%

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Answer:

x = 41.81°, 138.19°, 210°, 330°

Explanation:

3cos(2x) + sin(x) = 1

subtract one from both sides

→ 3cos(2x) + sin(x) − 1 = 0

rewrite using trigonometry identities

→ 2 + sin(x) − 6sin²(x) = 0

solve x by substitution

f(x) = 2 + sin(x) − 6sin²(x)

= 2 + 4sin(x) - 3sin(x) − 6sin²(x)

= −2sinx(3sinx −2) − (3sinx−2)

= (3sinx −2)(−2sinx−1)

= −(3sinx −2)(2sinx+1)

f(x) = 2 + sin(x) − 6sin²(x) = 0

= −(3sinx −2)(2sinx+1) = 0

(3sinx −2) = 0 (2sinx+1) = 0

→sinx = 2/3 →sinx = −1/2

x = 41.81°, 138.19° x = 210°, 330°

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Answer: Inductive reasoning.

Step-by-step explanation:

         This is an example of inductive reasoning. Inductive reasoning means going from a specific observation (these 10 red roses) to a general conclusion ("all roses are red").

Answer:

  5/10

Step-by-step explanation:

An equivalent fraction will have the numerator and denominator multiplied by the same value.

The denominator of 2 must be multiplied by 5 to get a denominator of 10. Then the equivalent fraction is ...

  \(\dfrac{1}{2}=\dfrac{1}{2}\cdot\dfrac{5}{5}=\dfrac{1\cdot5}{2\cdot5}=\boxed{\dfrac{5}{10}}\)

Answer:

52500

Step-by-step explanation:

first do 5*105 to get 525 then mutiply by 100 to get 52500

Answer:

Executive summary describes the 'big picture behind your business, what your business has to offer the consumer, and why

Step-by-step explanation:

B is right

Answer:

The entire clock measures 360 degrees. As the clock is divided into 12 sections. The distance between each number is equivalent to 30 degrees (360/12)

I hope this helps you!