Suppose that you are headed toward a plateau 37.9 meters high. If the angle of elevation to the top of the plateau is ​38.5 degrees, how far are you from the base of the​ plateau?

Answer:

12x + 12  

Step-by-step explanation:

2x+4-3x+2+3x(2)+x+ 4 − 3 x + 2 + 3 x

Solve 3x(2) = 6x

Next combine like terms

Like terms:

2x + 3x + 6x + 1x + (-3x) + 3x = 12x

4 + 2 + 4 + 2 = 12

Rewrite simplified

12x + 12  

^^This is the correct answer assuming that 3x2 x is 3x(2) + x

Answer:

Step-by-step explanation:

subtract 3 from each

8-3≤3-5z-3<12-3

or 5≤-5z<9

divide by 5

5/5 ≤ -5z/5<9/5

or 1≤-z<1.8

multiply by -1

-1 ≥z>-1.8

or -1.8≤z<-1

Answer:

  -1 ≥ z > -1.8

Step-by-step explanation:

Maybe you want to find the solution set.

__

Subtract 3 from the inequality:

  5 ≤ -5z < 9

Divide by -5:

  -1 ≥ z > -1.8

_____

Personally, I like to write these with the inequality symbols pointing to the left. That way, the elements of the expression are in number-line order.

  -1.8 < z ≤ -1

Answer:

x is less than 6

Step-by-step explanation:

Answer:

5 units

Step-by-step explanation:

5 is less than 6 so therefor the answer is x=5 and 6 is more.

Answer:

5

Step-by-step explanation

Answer: 5

Step-by-step explanation:

aₙ = a + (n - 1) d

n = the term of the sequence that you're looking for (2)

a = 1st term of sequence (2)

d = common difference (3)

a₂ = 2 + (2 - 1) 3

a₂ = 2 + (1 × 3)

a₂ = 2 + 3

a₂ = 5

It's also given btw but in case you wanted to find other terms of the sequence.

The slope and the y-intercept of the linear function represented by the graph is given as follows:

The slope is two-thirds, and the y-intercept is –2.

A linear function is modeled by:

y = mx + b

In which:

Looking at the graph, when x = 0, y = -2, hence the y-intercept is of -2. The slope is given by change in y divided by change in x, hence considering that the graph also goes through (3,0), it is given by:

\(m = \frac{0 - (-2)}{3 - 0} = \frac{2}{3}\)

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Answer:  £ 3675.79

Step-by-step explanation:

A = P(1 + r)^t

A = final amount = x

P = initial principal balance = 3200

r = interest rate = 0.02

t = number of years elapsed = 7

x = 3200(1.02)^7

x = 3200 * 1.14868567

x = 3675.79414

x = 3675.79

The total value of the income stream would be $187,500.

WE are given that integral of R(t) with respect to t ∫[0,5] R(t) dt = ∫[0,5] (30,000 + 3,000t) dt

To determine the total value of the income stream, we need to evaluate the definite integral of the function R(t) over the given interval. The integral of R(t) with respect to t is:

∫[0,5] R(t) dt = ∫[0,5] (30,000 + 3,000t) dt

Evaluating this integral gives:

∫[0,5] R(t) dt = (30,000t + 1,500t²) [0,5]

= (30,000(5) + 1,500(5²)) - (30,000(0) + 1,500(0²))

= 187,500

Therefore, the total value of the income stream is 187,500.

Learn more about integral here;

https://brainly.com/question/31433890

#SPJ4

Answer:

B *second one down.

Step-by-step explanation:

EF = 1/2(AB + CD)

x+5 = 1/2 (2x + 2 + 2x+4)   Combine the like terms on the right.

x+5 = 1/2 (4x + 6)                Remove the brackets.

x+5 = 1/2*4x + 1/2*6

x+5 = 2x + 3                       Subtract x from both sides

5 = 2x-x + 3

5 = x + 3                            Subtract 3 from both sides

5-3 = x

x = 2

EF = x + 5

EF = 2 + 5

EF = 7

The answer is B

The total number of hands with a full house of aces and fives is 36 * 10 = 360.

(a) To find the number of hands with only black cards:
Step 1: There are 26 black cards in a standard 52-card deck (13 spades and 13 clubs).
Step 2: We need to choose 5 black cards from the 26 available.
Step 3: Use the combination formula: C(n, k) = n! / (k!(n-k)!) where n is the total number of items and k is the number of items we want to choose.
Step 4: Calculate C(26, 5) = 26! / (5!(26-5)!) = 26! / (5!21!) = 65,780.

Answer (a): There are 65,780 hands with only black cards.

(b) To find the number of hands with a full house of aces and fives:
Step 1: There are 4 aces and 4 fives in a standard 52-card deck.
Step 2: Choose 3 aces from the 4 available (C(4, 3)).
Step 3: Choose 2 fives from the 4 available (C(4, 2)).
Step 4: Multiply the combinations from steps 2 and 3: C(4, 3) * C(4, 2).
Step 5: Calculate C(4, 3) = 4! / (3!(4-3)!) = 4.
Step 6: Calculate C(4, 2) = 4! / (2!(4-2)!) = 6.
Step 7: Multiply the results from steps 5 and 6: 4 * 6 = 24.

Answer (b): There are 24 hands with a full house of aces and fives.

to learn more about number click here:

brainly.com/question/30752681

#SPJ11

Answer:

12.5

Step-by-step explanation:

-3\4÷[-0.06]

convert -0.06to fraction

-3\50

then divide

-3\4÷-3\50

sign changes

-3\4 ÷ 50\3

=50\4

=12.5

Answer: $225

Step-by-step explanation:

Let the value of the bond at the purchase price be x.

Based on the information in the question, the equation to solve the question will be:

x + (8% × x) = $243

x + (8/100 × x) = $243

x + 0.08x = $243

1.08x = $243

x = $243/1.08

x = $225

Taylor's mom purchased the bond at $225

Answer:

The first graph is (-8,1). The second graph has no solution. The third graph is (1,3). The last graph has infinite solutions. Taking the graphs from left to right.

Step-by-step explanation:

The solution of a graph is determined at where the two lines of the graph intersect. When there is no intersection, but there are two graphs, then there is no solution but when there is only one line in the graph, the graph has infinite solutions.

Answer:

Answer in image

Step-by-step explanation:

Graph 1: Graph 1 is matched with (-8,1) because it intersects the other line only once, and they intersect at (-8,1).

Graph 2: Graph 2 has no solution because the lines never intersect. They're Parallel, and parallel lines never intersect. (We can't conclude they are parallel, but since they do not intersect in the picture, they have no solution.)

Graph 3: Graph 3 is matched with 1 sol. (1,3) because the lines intersect once, and they intersect at (1,3).

Graph 4: Graph 4 is matched with infinitely many solutions because the two lines are the same line. They are on top of each other meaning that at any point on the graph they will always be intersecting.

-Hope this helped

Answer:

If point is three grid squares to the right and two grid squares up from then the dilation with center of with scale factor 4 can be found by counting grid squares: it will be twelve grid squares to the right of and eight grid squares up from.

Step-by-step explanation:

You're welcome

Answer:

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Parent Function: f(x)=(3)x

Horizontal Shift: Right 8 Units

Vertical Shift: None

Reflection about the x-axis: Reflected

Vertical Stretch: Stretched

Step-by-step explanation:

BRAINLIEST?

The required answer is the all of the given points (A, B, C, and D) are on the unit circle.

The unit circle is a circle with a radius of 1 unit centered at the origin of a coordinate plane. Points on the unit circle can be represented by their coordinates (x, y), where x is the cosine of the angle and y is the sine of the angle.

To determine which of the following points is on the unit circle, we need to check if the coordinates satisfy the equation x^2 + y^2 = 1. If the coordinates satisfy this equation, then the point is on the unit circle.

consider the points given and check if they are on the unit circle:

- Point A: (1, 0)
- Point B: (0, -1)
- Point C: (-√2/2, √2/2)
- Point D: (0, 1)

Checking each point:

- Point A: (1, 0)
   - 1^2 + 0^2 = 1 + 0 = 1
   - The coordinates satisfy the equation, so point A is on the unit circle.

- Point B: (0, -1)
   - 0^2 + (-1)^2 = 0 + 1 = 1
   - The coordinates satisfy the equation, so point B is on the unit circle.

- Point C: (-√2/2, √2/2)
   - (-√2/2)^2 + (√2/2)^2 = 2/4 + 2/4 = 4/4 = 1
   - The coordinates satisfy the equation, so point C is on the unit circle.

- Point D: (0, 1)
   - 0^2 + 1^2 = 0 + 1 = 1
   - The coordinates satisfy the equation, so point D is on the unit circle.

In conclusion, all of the given points (A, B, C, and D) are on the unit circle because their coordinates satisfy the equation x^2 + y^2 = 1.

To know about unit circle . To click the link.

https://brainly.com/question/11987349

#SPJ11

Answer with Step-by-step explanation:

7x+x=90 [Being complementary angles]

8x=90

x=90/8

x=11.25

x-38+x=180 [Being supplementary angles]

2x=218

x=109

Answer: 29

Step-by-step explanation:

1) We can find algebraically the vertex of that Absolute Value inequality, by doing this procedure:

2) Since the vertex is where the absolute value is equal to zero, let's solve as an equation, and then treat it back as an inequality to write the answer:

Now let's plug the quantity of "x" we just found to find the y-coordinate:

So the answer is:

Correct option is 1 experiment with 500 trials.

The possibility or chance of an event occurring is measured by probability. It is a number between 0 and 1, where 0 denotes the impossibility of the occurrence and 1 denotes its certainty.

In this case, conducting one experiment with 500 trials would provide a large sample size that would help to reduce the effects of random variation, producing a more accurate estimate of the experimental probability.

Conversely, the other methods described (combined data with 3 experiments with 1 trial each, combined data with 10 experiments with 5 trials each, and 1 experiment with 1 trial) would not provide as much data as the 1 experiment with 500 trials. As a result, they would not produce as reliable or accurate of an estimate of the experimental probability.

To know more about trials, visit:

https://brainly.com/question/12255499

#SPJ1

Answer:

C.  3/2x

Step-by-step explanation:

Firstly, we know that the slopes are the same because parallel lines have the same slope. Then we can find the y-intercept by using the slope and point in slope-intercept form.  

y = mx + b ---> plug in known values

3 = (3/2)(2) + b ---> Multiply

3 = 3 + b ---> Subtract 3 from both sides.  

0 = b

Since the intercept is 0, you will not see a number after the slope and x.

Answer:

You need to figure out how many minutes per kilometer.

Lynda ran 22 divided by 5 = 4.4 minutes per kilometer

Janet ran 8.5 divided by 2 = 4.25 minutes per kilometer

Therefor, Janet ran the faster race.

Step-by-step explanation:

The value of p(0) is the same as the value of q(0) since p and q are both polynomials.

Polynomials are mathematical expressions that are composed of variables and constants and involve only non-negative integer powers of the variables. In this case, p and q are both polynomials. This means that they have the same degree, or highest power of the variable, and the same coefficients. As a result, p(0) will have the same value as q(0). To find the value of p(0), substitute 0 into the function for p. This will give the value of p(0). For example, if p(x) = 3x2 + 2x + 1, then p(0) = 3(0)2 + 2(0) + 1 = 1. This means that p(0) = 1.

Learn more about value here

https://brainly.com/question/6975587

#SPJ4

Answer:

Step-by-step explanation:

the answer is 5]

The volume of oil exiting the pipe is approximately 100 cu in/hr, 2,400 cu in/day, and 1.39 cu ft/day when converting cu in/day to cubic feet per day.



To calculate the volume of oil exiting the pipe every hour, you would need to know the flow rate of the oil in cubic inches per hour. Let's assume the flow rate is 100 cubic inches per hour.To find the volume of oil exiting the pipe every day, you would multiply the flow rate by the number of hours in a day. There are 24 hours in a day, so the volume of oil exiting the pipe every day would be 100 cubic inches per hour multiplied by 24 hours, which equals 2,400 cubic inches per day.

To convert the volume from cubic inches per day to cubic feet per day, you would need to divide the volume in cubic inches by the number of cubic inches in a cubic foot. There are 1,728 cubic inches in a cubic foot. So, dividing 2,400 cubic inches per day by 1,728 cubic inches per cubic foot, we get approximately 1.39 cubic feet per day.

Therefore, the volume of oil exiting the pipe is approximately 100 cubic inches per hour, 2,400 cubic inches per day, and 1.39 cubic feet per day.

To learn more about volume click here

brainly.com/question/22907480

#SPJ11

The number indicated on the number line is -0.896

what is number line ?

The visual representation of numbers on a straight line is called a number line. On an endless line that extends on both sides, either horizontally or vertically, this line is used to compare numbers that are spaced at equal intervals. The numbers on a horizontal number line grow as we approach towards the right side and drop as we move towards the left.

Each spacing = 0.0005

Exact middle between -0.895 and -0.896 is -0.8955

But, there is a slight more distance

So, it is -0.8956

Rounded to 3 decimal places -0.896 ( Because 6 at last is > 5, add 1 to 5)

The number indicated on the number line is -0.896

To learn more about the number line from the given link

https://brainly.com/question/24644930

#SPJ1

Answer: (–∞, –6)

Step-by-step explanation:

From the given information, the function is never non-negative over (-8,-6), which is the only subset of the interval that is given.

Answer:

3 hours :)

Step-by-step explanation:

5 km x 3 = 15km

also i hope you can catch up on ur work :)

The correct sampling method described in the question is a stratified random sample among the simple random sample,  stratified random sample, cluster random sample and  Voluntary random sample

The sampling method described in the question is a stratified random sample.

In a stratified random sample, the population is divided into subgroups or strata based on certain characteristics or criteria. Then, a random sample is selected from each stratum. The key idea behind this method is to ensure that each subgroup is represented in the sample proportionally to its size or importance in the population. This helps to provide a more accurate representation of the entire population.

In the given sampling method, the population is divided into subgroups, and a fixed number of units is taken from each group. This aligns with the process of a stratified random sample. The sample selection is random within each subgroup, but the number of units taken from each group is fixed.

Other sampling methods mentioned in the question are:

Simple random sample: In a simple random sample, each unit in the population has an equal chance of being selected. This method does not involve dividing the population into subgroups.

Cluster random sample: In a cluster random sample, the population is divided into clusters or groups, and a random selection of clusters is included in the sample. Within the selected clusters, all units are included in the sample.

Voluntary random sample: In a voluntary random sample, individuals self-select to participate in the sample. This method can introduce bias as those who choose to participate may have different characteristics than those who do not.

Therefore, the correct sampling method described in the question is a stratified random sample.

Learn more about sampling methods here:

https://brainly.com/question/15604044

#SPJ4