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Answer:3x^2-9x/x^2-25

Step-by-step explanation:

Answer:

\( { \tt{ {r}^{2} + 2 {r}^{3} = {r}^{2} (1 + 2r) }}\)

Answer:

We can't add these two terms since they're not like terms

Step-by-step explanation:

We cannot add variables if they have different exponents

The meaning of vertical intercept in this context can be inferred from the options to mean that the helicopter took off from a height of 50 ft.

In a linear problem or a graph, the vertical intercept, which is also known as the y-intercept, refers to the value of y when the value of x is 0.

Assuming y in this problem refers to the height and x refers to the minutes, the vertical intercept would be the height at 0 minutes.

If the vertical intercept is 50 ft then it means that the helicopter took off from 50 feet because at takeoff, the value of x would be 0 minutes.

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Answer:

Step-by-step explanation:

1.

area of triangle=1/2×12×5=30 in²

2.

obtuse scalene triangle.

Answer:

Step-by-step explanation:

1/2×12×5=30 in²

obtuse scalene triangle

Answer:

Sweater = $25

Pants= $42

Step-by-step explanation:

Write an equation for both statements and identify the what each value means

so;

x is for sweater and y is for pair of jeans

Equation for 1st statement;

\(2x + 3y = 176 \\ \)

Equation for 2nd statement

\(5x + 2y = 209\)

Graph these two equations and find the intersection point of it.

Hope this helps.

Answer:

$21.40

Step-by-step explanation:

7% is equal to .07

multiply .07 times 20

=1.40

add the $1.40 sales tax to the meal price to get 21.40

Answer:

Step-by-step explanation:

Remark

The law of chord intersection is that each chord from one point on the circumference to the intersect point when multiplied by the left over amount of the chord = the same thing done to the other chord. It's easier to understand the formula used to solve this problem than it is to work through the definition.

Equation

x*4 = 14 * 2

Explanation

Take x from the chord's end on the circumference to the intersect point and four's length from the intersect point to the circumference. Multiply them

Do the same thing with the other chord.

Solution

4x = 28          Divide by 4

x = 28/4

x = 7

The fair value of the S&P futures contract is approximately 382.80. Since none of the given answer choices match this value, there seems to be a mistake in the provided options.

The fair value of an S&P futures contract that calls for delivery in 106 days can be calculated using the formula F₀ = S₀ * e^(r-q)T. In this case, the S&P 500 index level (S₀) is 1315.34, the dividend yield (q) is 2.89%, the T-bills yield (r) is 0.75%, and the time to delivery (T) is 106 days.

Plugging these values into the formula, we have:

F₀ = 1315.34 * e^(0.0075 - 0.0289) * (106/365)

Calculating the exponent and simplifying, we find:

F₀ ≈ 1315.34 * e^(-0.0214) * 0.2918

Using the value of e ≈ 2.71828, we can calculate the fair value:

F₀ ≈ 1315.34 * 0.9788 * 0.2918 ≈ 382.80

Therefore, the fair value of the S&P futures contract is approximately 382.80. Since none of the given answer choices match this value, there seems to be a mistake in the provided options.

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Answer:

wrong

Step-by-step explanation:

(a+b)^2=(a+b)(a+b)

=a(a+b)b(a+b)

=a^2+ab+ab+b^2

=a^2+2ab+b^2

i hope it helps you

Answer:

a) y = 2x + 12. b) y = -1/2 x  -1/2.

Step-by-step explanation:

a) parallel to will have same gradient, ie gradient of 2.

y - y1 = m(x - x1)

y1 is y-coordinate of point, x1 is x-coordinate of point, m is gradient.

y - 2 = 2(x - -5) = 2 (x + 5) = 2x + 10

y = 2x +10 + 2

y = 2x + 12

b) gradient of perpendicular = -1/m = -1/2.

y - 2 = -1/2 (x - -5) = -1/2 (x + 5) = -1/2 x - 5/2

y = -1/2x  -5/2 + 2

y = -1/2 x  -1/2

Answer:

volume of a cylinder = 536.9 cm³

Step-by-step explanation:

volume of a cylinder, V = πr²h

where π = 3.14

h = 19 cm

r = ?

given is diameter = 6 cm

as we know, r = d/2 = 6/2 = 3 cm

by substituting the values in the formula,

V = 3.14 * 3² * 19

= 536.94 cm³

by rounding off to the nearest tenth place,

volume of a cylinder = 536.9 cm³

Answer:

v = 537.2 cm3

Step-by-step explanation:

volume:

\(v=\pi r^{2} h\)

\(r=d/2=6/2=3cm\)

\(h=19cm\)

\(v=\pi (3)^{2} (19)=171\pi\)

\(v=537.21\)

Rounded nearest tenth:

\(v=537.2cm^{3}\)

Hope this helps

The missing values in the table on the account balance and the change from previous weeks are :

The change in Ariel's account from Week 1 to Week 6 is - $ 365. 80.

The change in Week 3 is :

= Account balance in week 3 3 - Account balance in week 2

= 182. 35 - 337. 50

= - $ 155. 15

Change in week 4 :

= - 41. 40 - 182. 35

= - $ 223. 75

Account balance in week 5 :

= - 41. 40 + 40

= - $ 1. 40

Change in week 5 :

= - 5. 80 - ( - 1. 40 )

= - $ 4. 40

The account change from week 1 to week 6 is :

= Account balance in week 6 - Account balance in week 1

= -5 .80 - 360

= - $ 365. 80

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Answer:

x = 1/4

Step-by-step explanation:

Calculations:

\(7(x-3)+3(4-x)=-8\)

\(7x-21+12-3x=-8\)

\(4x-9=-8\)

\(4x=1\)

\(x=\frac{1}{4}\)

The probability that a household selected at random does not have an individual under the age of 18 in Nassau County in 2000 is 0.999614.

The round-off to the nearest thousands would be 1.000.

To calculate the probability that the selected household did not have an individual under the age of 18, we must determine the number of households without individuals under 18 and divide it by the total number of households in Nassau County in 2000.

We already know that,

The total households = 447,000

The number of households with individuals under 18 = 173

Now,

Number of households without individuals under 18 =

Total households - Households with individuals under 18

Number of households without individuals under 18 = 447,000-173

= 446,827

Probability = Number of households without individuals under 18/Total number of households

Probability = 446,827/447,000

= 0.999614

∴ The probability that the selected household does not have an individual under the age of 18 is 0.999614.

The round-off to the nearest thousand would be 1.000.

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This whole question: There were a total of 447000 households in Nassau County in 200. If one of these households was selected at random, what is the probability that the selected household did not have an individual under age 18? (Express your answer as a decimal rounded to the nearest thousandth)

Answer: x = 3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

8x+6+3x−2=37

8x+6+3x+−2=37

(8x+3x)+(6+−2)=37(Combine Like Terms)

11x+4=37

11x+4=37

Step 2: Subtract 4 from both sides.

11x+4−4=37−4

11x=33

Step 3: Divide both sides by 11.

11x / 11 = 33 / 11

x = 3

Part A: The monthly payment for the truck is $595.07

Part B: Kevin will spend $63.75 when he fills the truck's 25-gallon tank.

Part C: Kevin's cost per mile is $0.304.

An annuity is a financial product that provides a stream of payments to an individual over a specified period of time. An annuity is typically purchased from an insurance company or financial institution in exchange for a lump sum of money.

An average is a mathematical value that represents a typical or central value within a set of data. There are different types of averages, including the mean, median, and mode.The mean, or arithmetic mean, is the most common type of average, and it is calculated by adding up all of the values in a data set and dividing by the number of values.

Part A:

To calculate the monthly payment for the truck, we can use the formula for the present value of an annuity:

Monthly payment = (PV * r) / (1 - (1 + r)⁽⁻ⁿ⁾)

Where:

PV = Present value of the loan (truck cost - down payment)

r = Interest rate per period (annual rate / 12)

n = Total number of periods (5 years * 12 months per year)

Using this formula, we have:

PV = $35,500 - $4,200 = $31,300

r = 6% / 12 = 0.005

n = 5 years * 12 months per year = 60

Monthly payment = ($31,300 * 0.005) / (1 - (1 + 0.005)⁽⁻⁶⁰⁾) = $595.07

Therefore, the monthly payment for the truck is $595.07.

Part B:

To calculate how much Kevin will spend when he fills the truck's 25-gallon tank, we can multiply the number of gallons by the average gas price:

Cost of filling tank = 25 gallons * $2.55/gallon = $63.75

Therefore, Kevin will spend $63.75 when he fills the truck's 25-gallon tank.

Part C:

To calculate Kevin's cost per mile, we need to first calculate how much he spends on gas per mile.

In one year, Kevin fills up his tank 2 times per month, for a total of 24 times per year. If he drives 7,500 miles in the first year, then he drives an average of 7,500 / 24 = 312.5 miles between fill-ups.

So, Kevin spends $63.75 every 312.5 miles on gas, or $0.204 per mile.

In addition to gas, Kevin spends $750 per year on insurance.

Therefore, Kevin's total cost per mile is:

Cost per mile = (gas cost per mile) + (insurance cost per year / miles driven per year)

Cost per mile = ($0.204) + ($750 / 7,500) = $0.304 per mile

Therefore, Kevin's cost per mile is $0.304.

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The correct statement is: The margin of error is plus or minus 3%.

To determine the margin of error based on the given confidence interval, we can calculate half the width of the interval. The margin of error is the maximum likely difference between the true proportion and the sample estimate.

The given confidence interval is (40%, 46%), so the width of the interval is 46% - 40% = 6%.

The margin of error is half of the width of the interval, so the margin of error is 6% / 2 = 3%.

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Answer:

a

Step-by-step explanation:

x² - 3 = 2x ( subtract 2x from both sides )

x² - 2x - 3 = 0 ← in standard form

consider the factors of the constant term (- 3) which sum to give the coefficient of the x- term (- 2)

the factors are - 3 and + 1 , since

- 3 × + 1 = - 3 and - 3 + 1 = - 2 , then

x² - 2x - 3 = (x - 3)(x + 1) = 0 ← in factored form

equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x - 3 = 0 ⇒ x = 3

Answer:

Step-by-step explanation:

i think you just do 7x-10=12x and that will solve for x. You can insert the equation into math-way and it will give you an answer.

Answer:

\( 2x + 3y - 3x = 10\)

Answer:

4x<28

x<7

x;(-infinite,7)

A sampling technique used when groups are defined by their geographical location is cluster sampling. Hence, option A is correct.

Sampling technique refers to the method of selecting or choosing members from the given set of population.

Under cluster sampling method, population is divided or splitted into groups. The key objective is to minimize the cost and time taken.

For example: If a NGO wants to study the rural communities, the state is divided into small groups also known as clusters. Instead of visiting and studying all the locations a random cluster will be choosen and studied. Minimizing time and cost involved. However, it contains more sampling error as it might not represent the entire population accurately.

Therefore, Option A is the correct answer.

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Answer:

12.11

Step-by-step explanation:

Answer:

3.01

+9.10

=12.11

Step-by-step explanation:

good luck

So, Lana gave away 26.32% of he Pokemon cards  to her little brother.

To find the percentage of cards Lana gave away, we can use the formula:(Quantity given away / Total quantity) * 100.

In this case, Lana gave away 125 cards out of her total collection of 475 cards.Plugging these values into the formula, we have:

(125 / 475) * 100 = 0.2632 * 100 = 26.32%.

Lana gave away 26.32% of her Pokemon cards to her little brother.

Alternatively, we can calculate the percentage by subtracting the remaining cards from the total and finding the ratio:

Percentage given away

= (Cards given away / Total cards) * 100

= (125 / 475) * 100

= 26.32%.

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Cost of tjhe donut: D

Cost of the large coffee: C

On Monday Harold picked up six donuts and two large coffees for the office staff, he paid $5.80:

On Tuesday, Melinda picked up four donuts and 5 large coffees for the office staff. She paid $7.02:

Use the next system of linear equations to find the value of D and C:

1. Solve D in the first equation:

2. Substitute the D in the second equation by the equation you get in step 1:

3. Solve C:

4. Use the value of C=0.86 to find D;

The solution fot the system is:

Rotate point A 180 counterclockwise about the origin to get point A'. -2,-3 coordinate is A'

What is counterclockwise rotation?

Rotations that are counterclockwise (CCW) travel in the opposite direction from how a clock's hands move. Positive numerals are used to indicate these rotations.

Rotation in either a clockwise or anticlockwise direction refers to a change in the electrical activity flowing through the heart in a horizontal plane. Consider the observer as being at the bedside of the sufferer. It is known as anticlockwise rotation if the patient's heart's electrical activity has shifted more to their right side. It is known as clockwise rotation if the patient's heart's electrical activity has shifted more to the left.

Our point A(x,y) rotates 180 degrees anticlockwise around the origin to become A' (-x,-y). Making both x and y negative is all we do as a result.

Here we can see in the graph ‘A’ is present on (2,3)

So the -2,-3 coordinate is A’.

Hence the correct answer is c, -2,-3

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