2 points
2) At the sixth-grade school dance, there are 132 boys, 89 girls, and 14
adults. Write the ratio of the number of girls to the TOTAL number of

Answer:

g(x) = f(x) - 5

Step-by-step explanation:

correct on edge

Answer:

The third option

Step-by-step explanation:

I did the math x less than or equal to 0.5

Answer:

For 9 families

Step-by-step explanation:

Answer:

Step-by-step explanation:

a

Step-by-step explanation:

10)

again, drawing the height into a right triangle creates 3 right triangles : the original one, and the 2 on both sides of the height.

all these 3 triangles are similar to each other (the angles must be the same).

therefore the ratio of 2 sides in one triangle must be the same as the ratio of the corresponding 2 sides in the other triangles.

so,

x/36 = 64/x

x² = 64×36

x = sqrt(64×36) = 8×6 = 48

11)

same principle.

x/36 = 100/x

x² = 100×36

x = sqrt(100×36) = 10×6 = 60

12)

same as 11)

x/9 = (16+9)/x = 25/x

x² = 25×9

x = sqrt(25×9) = 5×3 = 15

Answer:

  x = -1/5, x = 1

Step-by-step explanation:

Maybe you want to find x.

Subtract the right side and collect terms.

  6x^2 +4x^2 -6x -4 -(2x -2) = 0

  10x^2 -8x -2 = 0

  5x^2 -4x -1 = 0 . . . . . . divide by 2

  (5x +1)(x -1) = 0 . . . . . . factor

Solutions are the values of x that make these factors zero:

  5x +1 = 0   ⇒   x = -1/5

  x -1 = 0   ⇒   x = 1

Solutions are x = -1/5, x = 1.

Answer:

[-0.2  0.4]

[0.8   -0.6]

Answer:

---------------------------------

Real distance is 4.4 miles and on the map it is 8 inches.

The scale is:

or

Let f(x) = lnx and g(x) = log₂x. for all 0 < x < 1, f(x) < g(x): True.

In this scenario and exercise, we would determine the corresponding output value for the functions f(x) and g(x) under the given mathematical operation and independent variables.

When x = 1, the output value for f(x) based on the table of values is given by;

f(x) = lnx

f(1) = ln(1).

f(1) = 0.

When x = 2, the output value for f(x) based on the table of values is given by;

f(x) = lnx

f(2) = ln(2).

f(2) = 0.69314718

When x = 1, the output value for g(x) based on the table of values is given by;

g(x) = log₂x

g(1) = log₂(1)

g(1) = 0.

When x = 2, the output value for g(x) based on the table of values is given by;

g(x) = log₂x

g(2) = log₂(2)

g(2) = 1.

In this context, we can logically deduce that the function f(x) is less than function g(x) for all 0 < x < 1.

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Answer:

86.47% probability that there is at least one hit in a 30-second period

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\(\mu\) is the mean in the given interval.

Mean rate of four hits per minute.

This means that \(\mu = 4n\), in which n is the number of minutes.

What is the probability that there is at least one hit in a 30-second period

30 seconds is 0.5 minutes, so \(\mu = 4*0.5 = 2\)

Either the site doesn't get a hit during this period, or it does. The sum of the probabilities of these events is 1. So

\(P(X = 0) + P(X \geq 1) = 1\)

We want \(P(X \geq 1)\)

Then

\(P(X \geq 1) = 1 - P(X = 0)\)

In which

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

\(P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353\)

\(P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1353 = 0.8647\)

86.47% probability that there is at least one hit in a 30-second period

Answer:

1

\(-\frac{9}{15}\)

-0.7

Step-by-step explanation:

Both \(-\frac{9}{15}\) and -0.7 are negative so therefore, 1 is the greatest

\(-\frac{9}{15}\) is -0.6 which is greater than -0.7 so it's the 2nd greatest

and -0.7 is the least

Answer:1 -9/15. -0.7

Step-by-step explanation:

The volume of the triangular prism is 140 cubic units.

To do this, we'll use the formula:

Volume = (Base Area) × Height.

The terms in your question (8, 7, and 5) represent the base, height of the triangular base, and height of the prism, respectively.

Find the base area of the triangle.
Base Area = (1/2) × base × height of triangular base = (1/2) × 8 × 7
Calculate the base area.
Base Area = (1/2) × 8 × 7 = 28
Find the volume of the triangular prism.
Volume = Base Area × Height of the prism = 28 × 5
Calculate the volume.
Volume = 28 × 5 = 140

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Answer:

Step-by-step explanation:

The thousand mark is the 4th number when going from right to left. So it would be the {6},976. When it comes to rounding, you go "5 and above, give it a shove, 4 and below, let it go. 6,976 rounded to the nearest thousand is 7,000,  3,983 rounded to the nearest thousand is 4,000,  13,560 rounded is 14,000.

7,000 + 4,000+ 14,000 = 25,000

Answer:

Step-by-step explanation:

J because you mutlyplay 2.5 by 10'6

Answer:

x-int: (-1.5, 0) and (3.5, 0)

y-int: (0, 3)

Increasing Interval: [-2, 1)

Decreasing Interval: (1, 4]

Constant Interval: [-4, -2)

Maximum: (1, 5)

Minimum: (4, -1) or (-4, -1) or (-2, -1) or (-3, -1)

Domain: [-4, 4]

Range: [-1, 5]

Step-by-step explanation:

x-intercepts are where the function f(x) crosses the x-axis when y = 0.

y-intercepts are where the function f(x) crosses the y-axis when x = 0.

Increasing interval is the set of x-values in which the graph f(x) increases in y-value.

Decreasing interval is the set of x-values in which the graph f(x) decreases in y-value.

Constant interval is the set of x-values in which the graph f(x) y-values stay constant.

Maximum is the largest y-value function f(x) can output.

Minimum is the smallest y-value function f(x) can output.

Domain is the set of x-values that can be inputted into function f(x).

Range is the set of y-values that can be outputted from function f(x).

The measure of angle COB is 66 degrees.

In geometry, an angle is the measure of the amount of rotation between two intersecting lines, planes or line segments with a common endpoint, called the vertex. Angles are typically measured in degrees, with a full circle comprising 360 degrees.

An angle is represented by the symbol ∠ and is named by its vertex, such as ∠ABC or ∠P. The size of an angle is determined by the degree of rotation between the two intersecting lines, measured counter clockwise from the initial line to the final line.

Since AOB is a straight line, we know that angle AOC + angle COB = 180 degrees.

We are given that angle AOC is 114 degrees, so we can use the equation above to find angle COB:

angle COB = 180 degrees - angle AOC

= 180 degrees - 114 degrees

= 66 degrees

Therefore, the measure of angle COB is 66 degrees.

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Complete question:

In the figure below, suppose AOB is a straight line and ∠AOC = 114⁰. What is the measure (in degrees) of ∠COB?

Answer:

its D

Step-by-step explanation:

Answer:

Option 2 is correct. The function is increasing on the set of all positive real numbers.

Answer:

A= Wind and water eriosion; B=Water erosion

Why?:

The lesson

Answer:

C - A = erosion by wind and water; B = erosion by water

Step-by-step explanation:

hope this helps anyone that still needs it

Answer:

K=2h

k=0.5h

k=h + 1

k= 0.5h + 10

Answer:

Step-by-step explanation:

4y = -x + 8

y = -1/4x + 2

12y = -3x + 2

y = -1/4x + 1/6

parallel

Answer:

24

Step-by-step explanation:

The formula for area of any triangle is (length * width) * 1/2. This makes the angle of 90 degrees irrelevant.

6 x 8 = 48

48 / 2 = 24

Answer:

y - 11 = -8(x - 1)

Step-by-step explanation:

We are told Hamid’s instruments read 11 ft above his marker 1 hour before.

Where y is tide level and x is time.

Thus, x1 = 1 and y1 = 11

Since graph of yesterday's data is y = -8x - 2,then in slope intercept form, the equation parallel is;

y - y1 = m(x - x1)

m is -8.

Thus; y - 11 = -8(x - 1)

The right angle is 90 degrees.

The 3 inside angles are a total of 180 degrees.

The two acute angles would need to equal 180-90 = 90 degrees.

Using the ratio you have 3x + 7x = 90

Simplify to get 10x = 90

Divide both sides by 10 to get x = 9

Now you have the two angles:

Angle 1 = 3 x 9 = 27

Angle 2 = 7 x 9 = 63

Answer:

23.79

Step-by-step explanation: