Can someone please tell me how to get from this equation to the standard form of an ellipse?

Answer:

B

Step-by-step explanation:

Answer:

A. 34

Step-by-step explanation:

Angle = 34°

The information will form a right angle triangle. Refer to the picture below for the diagram.

Using trigonometric ratio,

tan Ф = opposite / adjacent

tan Ф = 100 / 150

tan Ф = 0.66666666666

Ф = tan⁻¹ 0.66666666666

Ф = 33.6900672615

Ф ≈ 34°

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Answer:

AC = 8.7 cm (nearest tenth)

Step-by-step explanation:

Given:

To find AC:

\(\implies \tan(30)=\dfrac{5}{b}\)

\(\implies b=\dfrac{5}{\tan(30)}\)

\(\implies b=5\sqrt{3}\)

⇒ b = 8.7 (nearest tenth)

Therefore, the length of AC is 8.7 cm (nearest tenth)

\(\\ \rm\Rrightarrow tan30=\dfrac{5}{b}\)

\(\\ \rm\Rrightarrow 1/\sqrt{3}=5/b\)

\(\\ \rm\Rrightarrow b=5\sqrt{3}\)

\(\\ \rm\Rrightarrow b=8.66=8.7cm\)

The system of equations that models this scenario is:

x + y = 80

10x + 15y = 1000

Let's define the variables:

Let x represent the number of calculators ordered.

Let y represent the number of calendars ordered.

We can set up a system of equations based on the given information:

Equation 1: The total number of items ordered is 80.

x + y = 80

Equation 2: The total cost of the order is $1,000.

10x + 15y = 1000

These equations represent the number of items and the total cost of the order, respectively. Equation 1 states that the sum of the number of calculators (x) and the number of calendars (y) is equal to 80, which represents the total number of employees in the office. Equation 2 states that the total cost of the order, calculated by multiplying the cost of each calculator by the number of calculators (10x) and adding it to the cost of each calendar multiplied by the number of calendars (15y), is equal to $1,000.

Therefore, the system of equations that models this scenario is:

x + y = 80

10x + 15y = 1000

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Answer:

Step-by-step explanation:

Equation: x+6=13

Solution x=7

I hope this helps!

Do well!

Answer:

its kinda hard to explain udisng words but mutiple to get acxorss then plit it and SFF and you should get the asnwer

Step-by-step explanation:

Answer:

y = 1/2x + 7

Step-by-step explanation:

this is it in slope-intercept form hope it helps

(sorry if its wrong)

Answer:

There can be infinetly many numbers including negative and positive number which add up to 31.

Example

31 -1 1

31 -2 2……

But if your question ask for sum of 3 positive integers which give 31, then you can compile following code in C++.

The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.

The given problem is related to percentage discounts and sales tax and can be solved using the following steps:

Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25

Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75

Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79

Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.

Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54

Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!

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Answer:

$45,000

Step-by-step explanation:

Income = percentage of income she receives x income

50% x 90,000

0.5 x 90,000 = 45,000

Answer:

b

Step-by-step explanation:

because it really does depend on the number of bricks

Answer:

It depends on the number of bricks.

Step-by-step explanation:

As b is the number of bricks in the equation then we wouldn't be able to identify the fee per load unless specified with a number.

The reason for each step to justify it is:

Division Property of Equality: This step involves dividing both sides of the equation by 4 to isolate the variable term on one side of the equation.

The step involved here is: (w+25)/4

Multiplication Property of Equality: This step involves multiplying both sides of the equation by 4 to simplify the equation and cancel out the denominator.
The step involved here is: 4*(w+25)

Addition Property of Equality: This step involves subtracting 25 from both sides of the equation to isolate the variable term on one side of the equation.

The step involved here is: w+25

Simplifying: This step involves simplifying the expression by combining like terms and performing arithmetic operations to simplify the equation.

The step involved here is: w+25-25=12-25

Subtraction Property of Equality: This step involves subtracting 25 from both sides of the equation to isolate the variable term and solve for the variable.

The step involved here is: w=-13

What is meant by division?

Division is a mathematical operation that involves splitting a quantity into equal parts or groups. It is represented by the symbol ÷ or / and is the inverse operation of multiplication. Division can be used to solve problems related to sharing, fractions, and ratios.

What is meant by multiplication?

Multiplication is a mathematical operation that involves adding a number to itself a certain number of times. It is represented by the symbol × or * and is the inverse operation of division. Multiplication can be used to solve problems related to scaling, area, volume, and rates.

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Answer:

1) -11/180

2) 52/15

3) -43/72

4) 347/70

5) 11/12

6) 75/8

Step-by-step explanation:

1) -11/180

2) 52/15

3) -43/72

4) 347/70

5) 11/12

6) 75/8

Explanation: You can simplify the numbers to smaller numbers and make the denominator the same, or else just use a calculator.

The expression f(x)=g(x) indicate the points in the graph where the two functions intersect, i.e. when they cross

In this graph, g(x) cuts f(x) in two points (-4,4) and (0,4)

Now f(x) is a contstant, it has no slope and is equal to 4, always.

Since g(x) cuts f(x) in point (-4,4), you can say that f(-4)= g(-4)

Second cut is in point (0,4), this means f(0)= g(0)

The correct option is number 2 f(-4)= g(-4) and f(0)= g(0)

Answer:

The standard deviation is the best measurement of spread for games and movies.

Answer:

Corn Beef = x

Creamed Chipped beef = y

Jan:

2x + 3y = 4.95

Wayne:

3x +2y = 5.95

Graph two equation and find the point where two lines cross and that will be solution.

Point where two lines cross: (1.29, 0.79)

Corn Beef = $1.29

Creamed Chipped Beef = $0.79

Step-by-step explanation:

(a) The doubling time of the population is approximately 13.86 years., (b) It takes approximately 23.10 years for the population to triple in size, (c) It takes approximately 27.72 years for the population to quadruple in size.

To calculate the doubling time of the population, we need to find the time it takes for the population to double from its initial value. In this case, the initial population is 9 million.

(a) Doubling Time:

Let's set up an equation to find the doubling time. We know that when the population doubles, it will be 2 times the initial population.

2P(0) = P(t)

Substituting P(t) = 9e^(0.05t), we have:

2 * 9 = 9e^(0.05t)

Dividing both sides by 9:

2 = e^(0.05t)

To solve for t, we take the natural logarithm (ln) of both sides:

ln(2) = 0.05t

Now, we can isolate t by dividing both sides by 0.05:

t = ln(2) / 0.05

Using a calculator, we find:

t ≈ 13.86

Therefore, the doubling time of the population is approximately 13.86 years.

(b) Time to Triple the Population:

Similar to the doubling time, we need to find the time it takes for the population to triple from its initial value.

3P(0) = P(t)

3 * 9 = 9e^(0.05t)

Dividing both sides by 9:

3 = e^(0.05t)

Taking the natural logarithm of both sides:

ln(3) = 0.05t

Isolating t:

t = ln(3) / 0.05

Using a calculator, we find:

t ≈ 23.10

Therefore, it takes approximately 23.10 years for the population to triple in size.

(c) Time to Quadruple the Population:

Similarly, we need to find the time it takes for the population to quadruple from its initial value.

4P(0) = P(t)

4 * 9 = 9e^(0.05t)

Dividing both sides by 9:

4 = e^(0.05t)

Taking the natural logarithm of both sides:

ln(4) = 0.05t

Isolating t:

t = ln(4) / 0.05

Using a calculator, we find:

t ≈ 27.72

Therefore, it takes approximately 27.72 years for the population to quadruple in size.

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Answer:

\(d=\dfrac{V}{bt}\)

Step-by-step explanation:

It is given that,

V = bdt i.e. V is equal to the product of b, d and t

We need to find the formula for d.

Dividing both sides of the given expression by bt

So,

\(\dfrac{V}{bt}=\dfrac{bdt}{bt}\\\\d=\dfrac{V}{bt},\ \text{bt in both denominator and numerator cancel out}\)

Hence, \(d=\dfrac{V}{bt}\) is the value of d.

Answer:

6 liters

Step-by-step explanation:

The ratio of lemons to water is 4:3. When the amount of lemons is 8, that menas the ratio is doubled, so then it is 8:6. The answer is 6 litres.

Answer:

Q1 = 13.5

Q3 = 17.5

Step-by-step explanation:

6d) ===============

12, 12, 13, 14, 14, 17, 17, 17, 17, 18, 19, 20

I counted 12 numbers in this set. The median is the middle number of a sorted set. It's also the 2nd quartile as it is 2 quarters in, or 50% in.

First, find the median. In an even-numbered set, that's the average of the 2 middle numbers. In this case, it's between 17 and 17:

12, 12, 13, 14, 14, 17 === 17, 17, 17, 18, 19, 20

Now the set is split into 2 sets with 6 numbers each. Now, find the median of each of those sets. Again, the median of an even-numbered set is the average of the 2 middle numbers.

To find the first quartile (Q1), find the median of the lower set.

12, 12, 13 === 14, 14, 17

The median here is the average of 13 and 14, so 13.5.

6e) ==============

Exactly the same process as above.

7, 12, 12, 13, 14, 14, 17, 17, 17, 18, 19, 20

12 numbers again.

7, 12, 12, 13, 14, 14 === 17, 17, 17, 18, 19, 20

Now, to find the third quartile, find the median of the upper set.

17, 17, 17 === 18, 19, 20

The median is the average of 17 and 18, or 17.5.

Answer:

10%

Step-by-step explanation:

if she weight 125 and is 115 pounds now then the percentage would = 10% because 125 - 115 = 10%

half of 36 kg will be 18 kg

The half of the 36 kg is obtained by dividing the quantity by 2 and it is 18 kg.

The division is a mathematical operation that contains decoupling a quantity or number into equal proportions. It is the inverse operation of multiplication. In division, a number called the dividend is divided by another number called the divisor to get the quotient. When a number is not completely divisible by another number, then dividing the number leaves a single digit that cannot be divided further by that number, thus digit is known as the remainder.

Divide 36 kg by 2,

Half of 36 = \(\frac{36}{2} = 18\).

Therefore, half of 36 kg is 18 kg.

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Answer:

9

Step-by-step explanation:

9 (t3+0.5)

his running time is 9

Answer:

1.5 Hrs

Step-by-step explanation:

SWIM:  Time: T    Rate: 2.5mph   Distance: 2.5T

RUN:    Time: T+0.5  Rate: 9mph   Distance: 9T+4.5

BIKE:    Time: 2T+1  Rate: 16mph   Distance: 32T+16

2.5T+9T+4.5+32T+16 =  64

43.5T+20.5=64

43.5T=43.5

T=1

RUN: T+0.5= 1+0.5=1.5      

Answer:

\(\$154\\100+6w\)

Step-by-step explanation:

So, we know that Ava already has $100. This is our constant.

We also know that she saves $6 per week w. In other words, the total money she has after w weeks is:

\(100+6w\)

This is our expression. 100 represents the $100 she already has and the 6w represents the amount of money she will have saved after w weeks.

To find out how much total money Ava would have after 9 weeks, substitute 9 for w. Thus:

\(100+6(9)\)

Multiply:

\(=100+54\)

Add:

\(=\$154\)

So, after 9 weeks, Ava would have $154.

And we're done!

Answer: The expression 100 + 6w  and the amount she will save in 9 weeks is $154.

Step-by-step explanation:

The first statement can be represent by the expression 100 + 6w  where w is the number of week and 100 is the amount that she already had and 6 the amount she can save every week.

To find  how much money she will have after 9 weeks input 9 to into the expression and solve for the amount.

A = 100 + 6w     in this case A is the amount she will save after some period of weeks.  

A = 100 + 6(9)

A = 100 + 54

A = 154  

So in 9 weeks she will have $154

Answer:

1 - 3/14

2 - 10 5/8

3 - 3/8

4 - 12 1/4

Step-by-step explanation:

numbers 1 and 3 are simple, just multiply the numerators and denominators together.

Numbers 2 and 4, you convert the mixed number to an improper fraction and multiply. Don't forget to switch the answer back to a mixed number if needed!

Step-by-step explanation:

on the picture

I hope it's helpful ❤❤❤

THANK YOU.

Answer:

12 10

Step-by-step explanation:

Answer:

1st one, 4th one, and 5th one

Step-by-step explanation:

Answer:

red, blue and purple

hey There!

for the first one

2*2=4

4*2=8

8*2= 16 so blue is correct

8*8=64 so cyan is not correct

2^8=256 so yellow is not correct

4*4=16 so red is correct

2^4 is the same as 2*2*2*2 which equals 16 so purple is also correct

Answer:

B it seems like it's the most suitable answer

30 km far has the athlete run.

A rectangle may be a geometric shape that is characterized by its four sides, where opposite sides are parallel and break even within the length. It has four sides the longer side is named length and the shorter side is named as breadth.

An Athlete runs around a rectangular field = 10 times

The Length of the rectangle = \(1.08 km\)

The Breadth of the rectangle = \(0.42 km\)

 \(1km = 1000 m\\= 420 /1000 m\\= 0.42 km\)

Therefore, perimeter of the rectangle = 2 (length + breadth)

                                                              =  \(2 ( 1.08 + 0.42)\)

                                                              = \(2 (1. 50)\)

                                                              = \(3 km\)

So, the athlete runs around a rectangular housing 10 times = \(3\)×\(10\)

                                                                                                   = \(30 km\)

Therefore, the athlete runs 30 km far.

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