if r = 7 and s = 10, find R. Round to the nearest 10th

It will take the town 21 years 4 months to reach 4600 in population

a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.

initial population = 3000

population increase every year = 2.5% of 3000

which is 2.5/100 x 3000 = 75

let the time taken to reach 4600 be d

increment for d number of years = 75d

Total population after d years is 75d + 3000

so 75d + 3000 = 4600

75d = 4600  - 3000

75d = 1600

d = 1600/75

d = 21.33 years which is 21 years 4 months

In conclusion 21 years 4 months is the time taken for the ton tto get tto 4600

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a. The formula B = 703w/h^2 can be solved for w by rearranging the equation as w = B * h^2 / 703.
b. For a person who is 64 inches tall and has a body mass index of 21.45, the weight can be calculated by substituting the values into the formula w = B * h^2 / 703, where B is 21.45 and h is 64 inches.

a. To solve the formula B = 703w/h^2 for w, we can rearrange the equation to isolate w on one side of the equation. Multiply both sides of the equation by h^2, then divide both sides by 703. The resulting equation is w = B * h^2 / 703.
b. To find the weight of a person who is 64 inches tall and has a body mass index of 21.45, we can substitute the values into the formula w = B * h^2 / 703. In this case, B is 21.45 and h is 64 inches. Plugging these values into the equation, we get w = 21.45 * 64^2 / 703. Evaluating this expression will give us the weight in pounds.

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a, b, d, e are arranged from lowest to highest priority when assigning r/s configuration.

Three chemists, R.S. Cahn, C. Ingold, and V. Prelog, developed the approach for clearly identifying the handedness of molecules; as a result, it is sometimes referred to as the Cahn-Ingold-Prelog rules. There are two methods for figuring out an enantiomer's absolute configuration empirically in addition to the Cahn-Ingold system:

1- analysis of X-ray diffraction. Be aware that the structure of a specific enantiomer has nothing to do with the rotation's sign.

2- Chemical correlation with a molecule whose X-ray diffraction structure has previously been established.

Thus, a, b, d, e are arranged from lowest to highest priority when assigning r/s configuration.

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the inequality is

x> 12

all real numbers greater than 12

interval (12, infinite)

Answer:

A = - 6

Step-by-step explanation:

We will multiply everything by 6 we will get

9*6 + 6*a/6 = 8*6, 54 + a = 48, a = 48-54, a = - 6

Answer:

the second one

Step-by-step explanation:

The average speed from A to C (for the entire trip) can be calculated by taking the total distance traveled divided by the total time taken.

To find the total distance, we add the distances from A to B and from B to C: 125 miles + 280 miles = 405 miles.

To find the total time taken, we need to consider the time taken for each segment of the trip. The time taken from A to B can be calculated by dividing the distance (125 miles) by the average speed (50 mph), which gives us 2.5 hours. Similarly, the time taken from B to C can be calculated by dividing the distance (280 miles) by the average speed (70 mph), which gives us 4 hours.

Now, we can calculate the total time taken by adding the times from A to B and from B to C: 2.5 hours + 4 hours = 6.5 hours.

Finally, we can calculate the average speed by dividing the total distance (405 miles) by the total time taken (6.5 hours): 405 miles / 6.5 hours = 62.31 mph.

Therefore, the average speed from A to C (for the entire trip) is approximately 62.31 miles per hour.

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Answer:

both are wrong

Step-by-step explanation:

raj's mistake: he did not multiply -2 by -5a/4

antonia's mistake: she went from -4a/4 to a which is wrong because -4/4 is -1.

Answer:

Respectful ??

Step-by-step explanation:

Answer:

ldlelskekkskek

Step-by-step explanation:

zkmelslelslsps

Part A: The point (2, 80) represents that when the number of hours is 2, the number of miles of water in the tank is 80.

Part B: y = 40x

The theory used in this question is the concept of proportional relationships.

A proportional relationship between two variables is one in which one variable is a constant multiple of the other.

In this case, the number of miles of water in the tank is a constant multiple of the number of hours.

The equation y = mx is used to describe a proportional relation, where m is the constant of proportionality.

The equation for the proportional relationship between hours, x, and number of miles, y, of water in a tank can be written in the form of y = mx. To find the value of m, we can use the point (2, 80) from the graph. We know that when x = 2, y = 80. We can use this information to solve for m.

m = y/x

m = 80/2

m = 40

Therefore, the equation for the proportional relationship is y = 40x.

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Answer:

So the mid-point is (10.5,2)

Step-by-step explanation:

By using mid-point formula

M(x,y)=(x1+x2)/2,(y1+2)/2

Putting the values of the coordinates

M(x,y)=(6+15)/2,(-4+8)/2

M(x,y)=21/2,4/2

M(x,y)=10.5,2

So the mi-point is (10.5,3)

I hope this will help you :)

Answer:

-2xl -2y + 99

Step-by-step explanation:

Answer:

\(-2xl -2y+99\)

Step-by-step explanation:

STEP 1: Subtract 9 from 61.

\(-2xl+52+41-2y+6\)

STEP 2: Add 52 and 41.

\(-2xl+93-2y+6\)

STEP 3: Add 93 and 6.

\(-2xl-2y+99\)

Answer:

\( \frac{8 {a}^{8} }{2 {a}^{2} } = 4 {a}^{6} \)

A is the correct answer.

Step 1. Find the center

Step two

Graph a circle

Remember the radius is 3.5 units in order to know that, we need to have a point of 3.5 units of the center to the left, to the right, up and down and then we can obtain the graph of the circle

The exercise involves finding the product C = AB, where matrix A is given by [2 9] and matrix B is given by [3 6 1]. We need to perform the matrix multiplication to obtain the resulting matrix C.

Let's calculate the matrix product C = AB step by step:

Matrix A has dimensions 2x1, and matrix B has dimensions 1x3. To perform the multiplication, the number of columns in A must match the number of rows in B.

In this case, both matrices satisfy this condition, so the product C = AB is defined.

Calculating AB:

AB = [23 + 912 26 + 94 21 + 95]

[103 + 612 106 + 64 101 + 65]

Simplifying the calculations:

AB = [6 + 108 12 + 36 2 + 45]

[30 + 72 60 + 24 10 + 30]

AB = [114 48 47]

[102 84 40]

Therefore, the product C = AB is:

C = [114 48 47]

[102 84 40]

In summary, the matrix product C = AB, where A = [2 9] and B = [3 6 1], is given by:

C = [114 48 47]

[102 84 40]

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Answer:

35t 125kg

5120x12=61440 kg

10200+9=10209 kg

Step-by-step explanation:

For the outer dimensions: length = 35 inches, width = 25 inches, and height = 15 inches.

Step-by-step explanation:

For the interior;

volume = 6000

length, l = 3h

width, w = 2h

height = h

But,

Volume of a cuboid = length x width x height

So that;

6000 = 3h x 2h x h

6000 = 6

Divide through by 6 to have;

1000 =

h =

 = 10

Thus, the height is 10 inches. Thus;

length, l = 3h = 3 x 10 = 30 inches

width, w = 2h = 2 x 10 = 20 inches

For the outer dimension, since the concrete sides and bottom would be 5 inches thick. Then its dimension are;

length, l = 30 + 5 = 35 inches

width, w = 20 + 5 = 25 inches

height = 10 + 5 = 15 inches

Answer:

18

Step-by-step explanation:

MJ IS 18 RHIS IS YOUR CORRECT ANSWER

Answer:

Step-by-step explanation:

Rounded to the nearest tenth, the height of the neighbouring building is approximately 117.3 feet.

The tangent function is a trigonometric function that relates the angle of a right triangle to the ratio of the length of its opposite side to the length of its adjacent side.

We can use trigonometry to solve this problem. Let h be the height of the neighbouring building in feet. Then, we can use the tangent function, which is defined as the opposite side (height of the neighbouring building) over the adjacent side (distance between the buildings),

to find h:  tan(30°) = h/30

                h = 30 * tan(30°)

                h ≈ 17.3 feet

However, this value is the height from the ground to the top of the neighbouring building. Since we are on a 100-foot tall building, we need to add 100 feet to get the total height from the ground to our line of sight. Therefore, the height of the neighbouring building is approximately:

Rounded to the nearest tenth, the height of the neighbouring building is approximately 117.3 feet.

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Using the normal distribution we can calculate that the clothing store should store 35 t-shirts such that the probability is 16% .

We must first identify the z-score for this percentile. How do we accomplish this? We must determine the precise value of z that resolves the equation shown below.

Pr(Z<z) = 0.84

The value of z that solves the equation above cannot be made directly, it is solved either by looking at a standard normal distribution table or by approximation .

Based on this, we find that that the solution is z = 0.995, because from the normal table we see that

Pr(Z 0.995) = 0.84

Therefore, the percentile we are looking for is computed using the following formula:

P84 = μ + 2 Χ σ

= 30+ 0.995 x 5

= 34.972

≈ 35

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The ratio of boy to girl who play kickball at race is 6 to 2. There are 18 girl on the team. the number of boys who play kickball at race is 12 boys.

The ratio of boy to girl who play kickball at race is 6 to 2

6 boys: 2 girls

Multiply the number of girls by the ratio:

18 girls x (6 boys / 2 girls) = 18 x 3 = 54

Subtract the number of girls from the total to get the number of boys:

54 - 18 = 36

Therefore, there are 12 boys who play kickball at race.

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Based on the right triangle altitude theorem, the term that completes the equation is: a. YZ.

The right triangle altitude theorem state that when an altitude is drawn to from the vertex of a right triangle to intersect the opposite side perpendicularly, the length of the altitude would be equal to the geometric mean of the line segments that are formed by the altitude on the right triangle's hypotenuse.

In other words, the square of the length of the altitude equals the product of the line segments formed, according to the right triangle altitude theorem.

XZ = altitude

WY = hypotenuse

WZ and YZ are the line segments formed.

Therefore, the equation would be:

XZ² = (WZ)(YZ) [right triangle altitude theorem]

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Answer:

l + w = 25 and lw = 136

w(25 - w) = 136

25w - w² = 36

w² - 25w - 136 = 0

(w - 17)(w - 8) = 0

w = 8, so l = 17

The dimensions of the bookmark are 8 cm by 17 cm.

Based on the given side lengths of 8, 11, and 12, none of them are equal. Therefore, we can classify the triangle as a Scalene Triangle.

To classify a triangle by its angles and sides, we can use the properties and definitions of different types of triangles. Let's analyze the given triangle with sides measuring 8, 11, and 12 and angles measuring 45 degrees, 65 degrees, and 70 degrees.

Classification by angles:

Acute Triangle: An acute triangle has all three angles less than 90 degrees.

Obtuse Triangle: An obtuse triangle has one angle greater than 90 degrees.

Right Triangle: A right triangle has one angle exactly 90 degrees.

Based on the given angles of 45 degrees, 65 degrees, and 70 degrees, none of them are greater than 90 degrees, so we can classify the triangle as an Acute Triangle.

Classification by sides:

Equilateral Triangle: An equilateral triangle has all three sides of equal length.

Isosceles Triangle: An isosceles triangle has two sides of equal length.

Scalene Triangle: A scalene triangle has all three sides of different lengths.

Based on the given side lengths of 8, 11, and 12, none of them are equal. Therefore, we can classify the triangle as a Scalene Triangle.

In summary, based on the given measurements, the triangle can be classified as an Acute Scalene Triangle. We determined this by comparing the angles to the definitions of acute, obtuse, and right triangles, and comparing the side lengths to the definitions of equilateral, isosceles, and scalene triangles.

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The distance between the landing pads is approximately 12.82 miles.

A straight line is the shortest distance between two points in a two-dimensional space. It is a one-dimensional geometric object that extends infinitely in both directions.

Let's label the distance between the helicopter and Pad A as "x" and the distance between the helicopter and Pad B as "y". Also, let's label the distance between Pad A and Pad B as "d".

We can start by using the tangent function to find the height of the helicopter above Pad A:

tan(46) = h / x

h = x tan(46)

Similarly, we can find the height of the helicopter above Pad B:

tan(16) = h / (x + d)

h = (x + d) tan(16)

Since the helicopter is flying at a constant height, we can equate the two expressions for h and solve for d:

x tan(46) = (x + d) tan(16)

xtan(46) = xtan(16) + dtan(16)

d = x(tan(46) - tan(16)) / tan(16)

Substituting x = 5 miles and the values for the tangent functions, we get:

d = 5 (0.9851 - 0.2760) / 0.2760

d = 5 (0.7091) / 0.2760

d = 12.82 miles

Therefore, the distance between the landing pads is approximately 12.82 miles.

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The given Angles (4x + 2) and (3x + 3) are forming linear pair, so

now, let's find Angle DCB :