1) A stone is dropped from a tower that is 790 feet high. The formula h = 790 - 16t2 describes the
stone's height above the ground, h, in feet, t seconds after it was dropped. What is the stone's height
3 seconds after it is released?
A) 656 ft
B) 646 ft
C) 671 ft
D) 621 ft

The cost of the house is $562000

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”

Given here Laurie  charges her customers a commission fee of 2.5% on the selling price of the house. Let the selling price of the house be x then according to the question we have

2.5% of x = 14,050

             x=  14,050 × 100/2.5

               = $562000

Hence, the cost of the house is $562000

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The ratio relationship of a car's fuel efficiency can be expressed as equivalent rates of miles per gallon and gallons per mile, or as a unit rate of either 30 miles per gallon or 1/30 gallons per mile.

A real-world situation involving a ratio relationship could be the fuel efficiency of a car. For example, suppose a car travels 60 miles using 2 gallons of gas.

To express this ratio relationship as equivalent rates, we can write:

60 miles ÷ 2 gallons = 30 miles per gallon

2 gallons ÷ 60 miles = 0.0333 gallons per mile

To express the ratio as a unit rate, we can divide the numerator and denominator by the same amount to simplify the fraction. Let's choose to divide by 2 to get:

60 miles ÷ 2 gallons = 30 miles per gallon

2 gallons ÷ 60 miles = 1/30 gallons per mile

In both cases, the ratio represents the same relationship between miles traveled and gallons of gas used, but it is expressed in different units or rates.

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Answer:

138/3

46

Step-by-step explanation:

Answer:

414

Step-by-step explanation:

138+138+138=414

Answer:

  D. Square

Step-by-step explanation:

You want the best name for the quadrilateral with vertices (-3, 0), (-3, -3), (0, -3), and (0, 0).

A graph of the points is shown in the attachment. We notice the vertices are aligned with the grid, so the corner angles are all right angles.

The differences of x-coordinates and y-coordinates are both 3, so the side lengths of this rectangle are all 3 units.

The figure is all of a rectangle, rhombus, and square.

The most specific name for the figure is Square.

__

Additional comment

A trapezoid has one pair of parallel sides. This figure has two pairs of parallel sides, so is not a trapezoid.

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Answer:

1 and -3

Step-by-step explanation:

Answer:

1 and -3

Step-by-step explanation:

that's. the right answer

Answer:

17.5

Step-by-step explanation:

Two points which lie on the line are : (0, 0) and (4, 70)

Constant of proportionality :

Answer: 11

Step-by-step explanation:

area = 121 pi  = pi r^2      Divide both sides by pi

            121 = r^2

               r= 11

Answer:

The total compound interest is $1,047,130.76.

Step-by-step explanation:

The amount of the money received after 1 year is $31384283.7672.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest = \(A=P(1+\frac{r}{100})^{nt}\).

Given that, principal = $10,000,000, rate of interest =10% and time period = 1 year

Here, A=10,000,000(1+10/100)¹²

= 10,000,000(1.1)¹²

= $31384283.7672

Therefore, the amount of the money received after 1 year is $31384283.7672.

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Answer:

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.

Step-by-step explanation:

We have the following function:

we can see that x can't be equal to 9 because we will get

therefore, the domain is

The fractions are 15/24 < 16/24, 6/36 < 8/36, and 14/24 < 20/24. This can be found using LCM.

Finding the smallest common multiple between any two or more integers is done using the least common multiple (LCM) approach. A number that is a multiple of two or more other numbers is said to be a common multiple.

The given fractions are:

A:

5/8 and 2/3

Using the least common multiple take a common denominator:

Here LCM = (8)(3) =24

5/8 multiply the numerator and denominator by 3.

5/8 = 15/24

Similarly, 2/3 multiply the numerator and denominator by 8.

2/3 = 16/24

15/24 < 16/24

B: Using LCM:

1/6 and 2/9

6/36 and 8/26

6/36 < 8/36

C: 7/12 and 5/8

Using LCM:

14/24 < 20/24

Hence, the fractions are 15/24 < 16/24, 6/36 < 8/36, and 14/24 < 20/24. This can be found using LCM.

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Answer:

\(48x^{13}\ ft^2\)

Step-by-step explanation:

Step 1:  Determine the area of the rectangle

To find the area of the rectangle we just need to do Length * Width which will give us the area in square feet (it really depends on the units that they are giving the L and W in).

\((8x^6) * (6x^7)\)

\(((8*6)(x^6*x^7))\)

\((48*x^{6+7})\)

\(48x^{13}\)

Answer:  \(48x^{13}\ ft^2\)

Answer:

step two added the 9 to each side :)

Answer:

Step-by-step explanation:

The correct answer is true. If you know that the relationship between quantities is proportional, you can use proportions to find missing quantities.

Answer:

$700 a 30%

Step-by-step explanation:

hope it help :)

The correct solution set for the given graph include the following: D. {infinite set of points on the line}.

In Mathematics, a quadrant can be defined as the area that is occupied by the values on the x-coordinate (x-axis) and y-coordinate (y-axis) of a cartesian coordinate.

This ultimately implies that, there are four (4) major quadrants in any graph and these include the following:

Generally speaking, the solution set of a graph simply refers to all of the points that lie on its line. By critically observing the graph of lines a and b, we can reasonably infer and logically deduce that they both have the same slope, solution set, as well as increasing and decreasing infinitely.

In this context, the correct solution set lies in both Quadrant II and Quadrant III because both lines move towards negative and positive infinity i.e [-∞, ∞].

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Answer:

30 in

Step-by-step explanation:

subtract 5 inches from 8 inches and you get 3 inches (the height)

then we already have the given 4 inches (the width)

then finally we can see from figure b that the depth is 5 inches

you multiply all of them together and get 60, before dividing that in half to get 30.

(not certain about units)

Answer:

148

Step-by-step explanation:

a line (cd) is 180°

cba + and must be 180°

180-33=148

4.5 units

6) The formula for finding the distance between two points is expressed as:

Given the coordinate points (1, 5) and (3, 1). Substitute into the formula to have:

Therefore the distance between the coordinate points (1, 5) and (3, 1) is 4.5 units

Answer:

Step-by-step explanation:

first you start off at the tright side of the paper you go two stops down you should end up at two you stay there at the bottom of the heet you start from two then go to two then you will go left go to negitive 3

Given:

Segment AD is perpendicular to segment BC.

D is the midpoint of segment BC.

To prove:

\(\Delta BDA\cong \Delta CDA\)

Solution:

The two column proof is shown below:

Statements                                                      Reasons

1. \(\overline{AD}\perp \overline{BC}\), D is the midpoint of \(\overline{BC}\)         1. Given

2. \(\overline{BD}\cong \overline{CD}\)                                                 2. Definition of midpoint

3. \(m\angle ADB=90^\circ \text{ and }m\angle ADC=90^\circ\)         3. Definition of perpendicular lines

4. \(m\angle ADB=m\angle ADC\)                                4. Substitution

5. \(m\angle ADB\cong m\angle ADC\)                                5. Definition of congruence

6. \(\overline{AD}\cong \overline{AD}\)                                                 6. Reflexive property

7. \(\Delta BDA\cong \Delta CDA\)                                      7. SAS congruence postulate

Hence proved.

First is similar

∆XYZ and ∆MNO are congruent

Polygons are similar

The square one is congruent

First one on right side is similar

Rugs are similar

rectangles are similar

Answer:

0.9851 = 98.51% probability that the person is actually infected.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Positive test

Event B: Infected

Probability of a positive test:

99% of 25%(People have the disease).

0.5% of 100 - 25 = 75%(People do not have the disease). So

\(P(A) = 0.99*0.25 + 0.005*0.75 = 0.25125\)

Probability of a positive test and being infected:

99% of 25%, so:

\(P(A \cap B) = 0.99*0.25 = 0.2475\)

What is the probability that the person is actually infected?

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2475}{0.25125} = 0.9851\)

0.9851 = 98.51% probability that the person is actually infected.

The total value of the loan with quarterly compounded interest is approximately $45,288.38, while the total value of the loan with monthly compounded interest is approximately $45,634.84. The difference in total interest accrued is approximately $346.46.

Part A: To determine the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:

A = P(1 + r/n)^(nt),

where:

A is the total value of the loan,

P is the principal amount (initial loan amount),

r is the interest rate (in decimal form),

n is the number of times interest is compounded per year,

and t is the number of years.

Given:

P = $20,000,

r = 9% or 0.09,

n = 4 (quarterly compounding),

t = 10 years.

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/4)^(4*10).

Calculating this value, we find:

A ≈ $45,288.38.

Therefore, the total value of the loan with quarterly compounded interest is approximately $45,288.38.

Part B: To determine the total value of the loan with monthly compounded interest, we follow the same formula but with a different value for n:

n = 12 (monthly compounding).

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/12)^(12*10).

Calculating this value, we find:

A ≈ $45,634.84.

Therefore, the total value of the loan with monthly compounded interest is approximately $45,634.84.

Part C: The difference between the total interest accrued on each loan can be calculated by subtracting the principal amount from the total value of each loan.

For the loan with quarterly compounding:

Total interest = Total value - Principal

Total interest = $45,288.38 - $20,000

Total interest ≈ $25,288.38.

For the loan with monthly compounding:

Total interest = Total value - Principal

Total interest = $45,634.84 - $20,000

Total interest ≈ $25,634.84.

The difference between the total interest accrued on each loan is approximately $346.46.

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Answer:

-3.2

Step-by-step explanation:

Hope this helps!

Answer:

Graph uploaded!

Step-by-step explanation:

First, let's simplify the inequality before graphing it on the line.

Now, let's graph it on the line. Please consider looking at my graph.

Hoped this helped!

Answer:

d

Step-by-step explanation:

Answer:

12 + 15y

Step-by-step explanation:

Multiply 3 by all the variables inside the ()