A wheelchair access ramp has an angle elevation of 23 degrees. If the ramp reaches to the top of a 23 inch high porch, how long is the ramp.

Answer:

\(m=1.5\)

Step-by-step explanation:

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Simply plug in the 2 coordinates into the slope formula to find slope m:

\(m=\frac{6.5-2}{7-4}\)

\(m=\frac{4.5}{3}\)

\(m=1.5\)

Answer:

the graph appears to show an increase in price of about $ 10 over 5 year(s) or about $ 2 per year .

Step-by-step explanation: The slope is 10/5 or 2/1. The graph has the points graphed.

Answer:

(b1+b2)h divided by 2 is the formula for a trapezoid

Step-by-step explanation:

ANSWER: 468 ft (squared?)

The constant percent rate of change per year 33.5 %. So the correct option is A.

Growth factor is a mathematical concept that represents the amount by which a quantity increases or decreases over a period of time. It is usually expressed as a decimal or a percentage. A growth factor greater than 1 indicates an increase in the quantity, while a growth factor less than 1 indicates a decrease. A growth factor of 1 indicates no change in the quantity.

For example, if the population of a city is growing by 2% per year, the growth factor would be 1.02, since the population is increasing by 2% (0.02) every year. If the population was decreasing by 3% per year, the growth factor would be 0.97, since the population is decreasing by 3% (0.03) every year.

To find the constant percent rate of change per year, we need to rewrite the function D(m) in terms of years, and then find the annual growth factor.

First, we can divide m by 12 to get the time in years:

m/12 = y

Substituting this into the function D(m) gives:

D(m) = 845,000(\(1.013^{m}\)) = 845,000(\(1.013^{12y}\))

Now we have D(y) in terms of the annual growth factor b:

D(y) = 845,000(\(b^{y}\)), where b = 1.013¹²

To find the constant percent rate of change per year, we need to find the value of b-1 as a percent:

(b-1)*100

= (1.013¹² - 1)*100

= 33.5% (rounded to the nearest tenth)

Therefore, the answer is (A) 33.5%.

To know more about function visit:

https://brainly.com/question/16142287

#SPJ1

Answer: y=x/3 + 4

Step-by-step explanation:

Answer:

161ft^2 is answer

Step-by-step explanation:

area of rectangle = l ×b

=7ft ×23ft

=161ft^2

Answer:

x = 2

Step-by-step explanation:

Answer: (2,5)

Step-by-step explanation: set the numbers equal to each other x+3=5, x=2, so (x,y) = (2,5)

Answer:

11, 13, 17, and 19!

Step-by-step explanation:

Answer:

11, 13,17 and 19

Step-by-step explanation:

prome numbers are natural numbers that are greater than 1 and not a product of two natural numbers eg 2×5 =10 so it's not a prime number 2×6 or 3×4 =12 it's not also a prime number e.t.c

It's important to note that this calculation assumes that the items in each category are distinct and that Soo Jin can select any item from each category without any restrictions or dependencies.

To determine the number of different possible characters Soo Jin can create for the video game, we need to consider the combinations of items from each category.

Let's assume there are n1 items in Category 1, n2 items in Category 2, n3 items in Category 3, and n4 items in Category 4. To find the total number of possible characters, we multiply the number of options in each category:

Total number of characters = n1 * n2 * n3 * n4

For example, if Category 1 has 5 items, Category 2 has 3 items, Category 3 has 2 items, and Category 4 has 4 items, the total number of possible characters would be:

Total number of characters = 5 * 3 * 2 * 4 = 120

So Soo Jin can create 120 different characters by selecting one item from each of the four categories.

For such more questions on Dependencies:

https://brainly.com/question/31247294

#SPJ11

9x² - 225 = 0

(3x - 15)² = 0

or

(3x + 15) (3x - 15) = 0

The function h(x) = 1/x^6 can be written as f(g(x)), where g(x) = (x^6) and f(x) = 1/x.

What is a function?

A function is a relationship or expression involving one or more variables.  It has a set of inputs and outputs.  Each input has only one output.  The function is the description of how the inputs relate to the output.

This means that we are representing h(x) as the composition of two functions, g(x) and f(x), such that the output of g(x) is plugged into f(x) to give us h(x).

In this case, g(x) = (x^6) takes in x and returns x^6, while f(x) = 1/x takes in x^6 and returns 1/(x^6).

When we plug the output of g(x) into f(x), we get h(x) = 1/(x^6).

So, in essence, we have expressed h(x) = 1/x^6 as f(g(x)), where g(x) = (x^6) and f(x) = 1/x.

Hence, The function h(x) = 1/x^6 can be written as f(g(x)), where g(x) = (x^6) and f(x) = 1/x.

To learn more about the function visit,

https://brainly.com/question/11624077

#SPJ1

The point after 30, 000 km will they first have to change the oil, rotate the tires and replace the wiper blades all at once.

Arithmetic Progression (AP) is a numerical series in which the difference between any two consecutive numbers is a constant value. Arithmetic Sequence is another name for it.

The First term is an "oil change" with a step d = 3000 km;

and, the second term is tire rotation = 10, 000 Km

and, the third term is replacement of wiper blades = 15, 000 Km

Now, we know from the formula of Arithmetic Progression is

\(a_n\) = \(a_1\)+ d(n-1)

So, 15,000 = 10,000 + 10,000 (n-1)

15, 000 = 10,000 + 10, 000n- 10,000

150000 = 10000n

n = 1.5

This means that at the point 15 000 km and all three progressions will not intersect.

Now, We take the second term of the progression as \(a_n\) = 30,000 km

So, 30,000 = 10,000 + 10,000 (n-1)

20,000 = 10,000n - 10,000

30, 000 = 10,000n

n= 3

Similarly, check this intersection point for the first progression with a step of d = 3 000 km we get n =9.

Learn more about Arithmetic Progression here:

https://brainly.com/question/30364336

#SPJ1

Answer:

Step-by-step explanation:

Sum of supplementary angles is 180°

Find the value of x

Find the measure of ∠B

Supplementary angles have sum 180°

<B

Answer:

Point the point on the graph (3,-7) by find 3 on the x axis (horizontal line) and than going down -7 coordinates. and then start plotting points that are at a slope of 1/3 so you would go up 1 from the point (3,-7) and than go 3 right and then plot a point, and keep doing that to make a lot of points that create a straight line at the end when you connect them!

hope it helped!

Answer:

Step-by-step explanation:

1) (x+2)(x+2)=-x-2

\(x^{2}\) +2x +2x +4+=-x-2

\(x^{2}\)+4x+4+x+2

\(x^{2}\)+5x+6

2) \(x^{2}\) +4x +12 -16x +24=0

\(x^{2}\) -12x+36=0

3) (x-4)(x+1)

x=4 and/or x=-1

4) (x-5)(x-6)

x=5 and/or x=6

5) (x-7)(x+2)

x=7 and/or x=-2

6) \(x^{2}\)+3x-10=0

(x-5)(x+2)

x=5 and/or x=2

7) \(x^{2}\)+x-20

(x-5)(x+4)

x=5 and/or x=-4

Answer:

first

Step-by-step explanation:

Answer:

Step-by-step explanation:

If two angles are complementary, then their sum is 90°.

So we can build an equation using this information.

The angles are 3x + 23 and 3x + 25, respectively.

\(\bf{3x+23+3x+25=90}\)

Combine the like terms

\(\bf{6x+48=90}\)

Now just solve for x

\(\bf{6x=90-48}\)

\(\bf{6x=42}\)

\(\bf{x=7}\)

Knowing that x = 7, we can plug it into the expressions

3x + 25

3(7) + 25

21 + 25

46

Now the other angle is:

3x + 23

3(1) + 23

21 + 23

44

Hence, the measures of  \(\angle A\) and \(\angle B\) are 44 and 46, respectively.

The correct answer is 2 (C) - 2 days is the total slack for activity F. To determine the total slack for activity F, we need to calculate the slack for each activity in the network. Slack refers to the amount of time an activity can be delayed without affecting the project completion time.

1. First, let's draw the network using the information provided:
  - A is the start node and G is the stop node.
  - Activity A has a duration of 5 days and has no predecessor.
  - Activities B, C, and D have durations of 8, 7, and 6 days respectively, and their predecessors are A.
  - Activity E has a duration of 9 days and its predecessors are B, C, and D.
  - Activity F has a duration of 10 days and its predecessors are B, C, and D.
  - Activity G has a duration of 5 days and its predecessors are E and F.

                 A
                /|\
               / | \
              /  |  \
             B   C   D
              \  |  /
               \ | /
                \|/
                 E
                 |
                 F
                 |
                 G

2. Now, let's calculate the slack for each activity:
  - Slack is calculated by subtracting the earliest start time of an activity from the latest start time without delaying the project completion time.
  - The earliest start time for activity F is 17 days.
  - The latest start time for activity F is 19 days (project completion time is 22 days).
  - Total slack for activity F = latest start time - earliest start time = 19 - 17 = 2 days.

To know more about the slack, visit:

https://brainly.com/question/31577110

#SPJ11

Answer:

the CORRECT answers for this are B,D,E.

Step-by-step explanation:

just did it <3.

Answer:

B,D,E

Step-by-step explanation:

i just took the assignment  and got it correct!

Answer:

11^5

Step-by-step explanation:

11^5 because your multiplying 11 by itself 5 times

Answer:5/8

Step-by-step explanation:

\(\begin{gathered} \boxed{ \sf \frac{3}{4} - \frac{1}{8}} = \\ \\ \sf \frac{8 \div 4 \times 3 - 8 \div 8 \times 1}{8} = \\ \\ \sf\frac{6 - 1}{8} = \\ \\ \sf \boxed{ \sf\frac{5}{8}} \end{gathered}\)

Therefore, the result of this subtraction of fractions is five eighths.

How to subtract unlike fractions:

Heterogeneous fractions are fractions that have different denominators.

To subtract heterogeneous fractions we follow these steps:

Answer:

3.85%????

Step-by-step explanation:

Answer:0.96%

Step-by-step explanation:

The probability of randomly selecting a heart from a standard deck of 52 playing cards is 13 out of 52, because there are 13 hearts in the deck (one for each rank). Therefore, the probability is:

Probability of selecting a heart card = (Number of heart cards) / (Total number of cards) = 13 / 52 = 1 / 4 = 0.25

So, the probability of randomly selecting a heart card from a deck of cards is 0.25, or 25%.

The probability of randomly selecting the letter "J" from a list of letters in the English alphabet is 1 out of 26, since there are 26 letters in the alphabet. Therefore, the probability is:

Probability of selecting the letter "J" = (Number of "J" letters) / (Total number of letters) = 1 / 26 ≈ 0.0385

So, the probability of randomly selecting the letter "J" from a list of letters in the alphabet is approximately 0.0385, or about 3.85%.

Multiply these 2 percentages together to get the combined probability:

To find the product of 25% and 3.85%, you can multiply these percentages together:

0.25

×

0.0385

=

0.009625

0.25×0.0385=0.009625

So,

25

%

25% times

3.85

%

3.85% equals

0.009625

0.009625, which is approximately

0.9625

%

0.9625%.

(scroll to bottom for answer)

514 19 = 27.0526315789

27.0526315789 = 270.526315789 to the nearest tenth

27.0526315789 = 27.05 to the nearest hundredth

27.0526315789 = 27.053 to the nearest thousandth

= 0 to the nearest tenth

= 0 to the nearest hundredth

= 0 to the nearest thousandth

Other Divisions Math homework are

514 divide by half plus 20

Homework answers: (514/2) + 20 = 277

514 divide by half plus 40

Homework answers: (514/2) + 40 = 297

514/19 divided by 2

Answer: (514/19) ÷ 2 = 13.5263157895

Answer:

Slope = -16/11

Step-by-step explanation:

(-40-8)/(87-54)

= -48/33

= -16/11

Answer:

the solution is c. perpendicular lines

Step-by-step explanation:

the slopes: 1/4 and -4 are perpendicular and intersecting

To determine Bob's expected utility for each option, we calculate the utility for each outcome and weigh them by their respective probabilities.

Option A:

Expected utility = 0.5v(316 - 30) + 0.5v(4 - 0)

= 0.5v(48) + 0.5v(4) = 0.548 + 0.54 = 26.

Option B: Expected utility = v(8) = 8.  

Bob would choose Option A as it has a higher expected utility.

ii. Option A: Expected utility = 0.5v(-16) + 0.5v(-4) = 0.5*(-32) + 0.5*(-8)

= -20.

Option B: Expected utility = v(-12) = -24. Bob would choose Option B as it has a higher expected utility.

iii. Option A: Expected utility = 0.5v(8) + 0.5v(-4) = 0.58 + 0.5(-8) = 0. Option B: Expected utility = v(1) = 1.  Bob would choose Option B as it has a higher expected utility.

 (b) If Bob buys the hammer for $2, his utility would be v(-2) = -4. If he does not buy the hammer, his utility would be v(0) = 0. Bob would prefer not to buy the hammer since the utility is higher at 0.

(c) If Bob sells the hammer for $2, his utility would be v(2) = 2. If he does not sell the hammer, his utility would be v(0) = 0. Bob would prefer to sell the hammer since the utility is higher at 2. (d) Bob's buying price is not the same as his selling price.

This concept is known as loss aversion, where individuals tend to value losses more than equivalent gains. One study that demonstrates a similar concept is the "Prospect Theory" by Daniel Kahneman and Amos Tversky, which shows how people's decision-making is influenced by the potential for gains and losses and how they weigh them differently.

The study revealed that individuals are generally more averse to losses and are willing to take greater risks to avoid losses compared to the risks they are willing to take for potential gains of equal value.

To learn more about probabilities click here: brainly.com/question/32004014

#SPJ11

Answer:

2,007,000,000,000

Step-by-step explanation:

The numbers from left to right here are:

2 trillion

0 hundred billion

0 ten billion

7 billion

0 hundred million

0 ten million

0 million

0 hundredthousand

0 ten thousand

0 thousand

0 hundreds

0 tens

0 ones

To fill in each blank so that the values are in order from smallest to largest, we have;

4° , 1⁴ = 4, 2² , 3³ , 4³ , 2⁹

We need to know that index forms are defined as mathematical forms used to represent numbers or variables that are too large or too small in more convenient forms.

These index forms are also known as scientific notation or standard forms.

Some examples of index forms are;

3²

4³

2³

From the information given, we have that;

To arrange the numbers;

4° = 1

1⁴ = 4

2² = 4

3³ = 27

4³ = 64

2⁹ = 512

Learn more about index forms at: https://brainly.com/question/15361818

#SPJ1