I don’t know what to do this is the last question!!!

Answer:

20 Times larger

Step-by-step explanation:

8 * 10^3 = 8000

4 * 10^2 = 400

8000/400 = 20

Answer:

Step-by-step explanation: [-2.19] = -3

[3.67] = 3

[-0.83] = -1

The domain of this function is a group of real numbers that are divided into intervals such as [-5, 3), [-4, 2), [-3, 1), [-2, 0) and so on. This explains the domain and range relations of a step function.

This can be generalized as given below:

[x] = -2, -2 ≤ x < -1

[x] = -1, -1 ≤ x < 0

[x] = 0, 0 ≤ x < 1

[x] = 1, 1 ≤ x < 2

Answer:

y = - \(\frac{3}{2}\) x

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (0, 0) ← 2 points on the line

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

y = - \(\frac{3}{2}\) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (0, 0 )

0 = - \(\frac{3}{2}\) (0) + c = 0 + c , so

c = 0

y = - \(\frac{3}{2}\) x + 0 , that is

y = - \(\frac{3}{2}\) x

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

Step-by-step explanation:

Note that |-x| = 1, just as |x| = 1.  Removing the absolute value operator in both cases, we get x = 1.   In two dimensions the graph would be a solid dot at  = 1.

Answer:

Exponential functions

Step-by-step explanation:

:D

Answer:

Exponential Equations

These equations have variables in the exponent. Such as this one:

\(63+5^{x}\)

Answer:

Step-by-step explanation:

The volume of this pyramid in cubic inches is 16.

Given that,

The base and height is 8 and 6.

Based on the above information, the calculation is as follows:

The volume is

= 16

Answer:

Step-by-step explanation:

sp = 504

gain = 12%

in this case

sp =100%+12%=504

112%=504

1%=504/112 =4.5

100%=450

so cost =$450

Hope im correct, if i am im glad to be of service.

Answer:

D

Step-by-step explanation:

was it helful ..........

Answer:

Step-by-step explanation:

Answer:

Hi, it's 19

Step-by-step explanation:

9+10=19   or    10+9=19

The area of the complex figure is 132 square units

From the information given, we have that the composite shape is a combination of a:

The formula for area of a square is given as:

Area = a ²

Where 'a' is the length of it side

Area = 6²

Area of square = 36 square units

The formula for area of a rectangle is given as:

Area = width × length

Area = 8 × 12

Area of rectangle = 96 square units

Area of the complex figure = Area of square + area of rectangle

= 36 + 96

= 132 square units

Thus, the area of the complex figure is 132 square units

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The contractor has a maximum of 29 hours (rounded down) to complete the job while keeping the total cost under $2000.

To find the number of hours the contractor has for the job while keeping the total cost under $2000, we can use the given cost model equation: C = 43H + 750.

Since the owner wants the total cost to be under $2000, we can set up the inequality:

43H + 750 < 2000

Now, let's solve this inequality for H, the number of hours:

43H < 2000 - 750

43H < 1250

Dividing both sides of the inequality by 43:

H < 1250/43

To determine the maximum number of hours the contractor has for the job, we need to round down the result to the nearest whole number since the contractor cannot work a fraction of an hour.

Using a calculator, we find that 1250 divided by 43 is approximately 29.07. Rounding down to the nearest whole number, we get:

H < 29

Using the cost model equation C = 43H + 750, where C represents the total cost and H represents the number of hours, we set up the inequality 43H + 750 < 2000 to satisfy the owner's requirement of a total cost under $2000.

By solving the inequality and rounding down to the nearest whole number, we find that the contractor has a maximum of 29 hours to complete the job within the specified cost limit.

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Answer:

Step-by-step explanation:

Given the equation

\(3x\:-\:6y\:=\:-12\)

We know that x-intercept is obtained when we put y = 0,

so

\(3x\:-\:6y\:=\:-12\)

3x - 6(0) = -12

3x = -12

x = -4

Therefore, x-intercept will be: (-4, 0)

We know that y-intercept is obtained when we put x = 0,

\(3x\:-\:6y\:=\:-12\)

3(0) - 6y = -12

-6y = -12

y = 2

Therefore, y-intercept will be: (0, 2)

Answer:

1. 23

2. 17

Step-by-step explanation:

perimeter is the sum of length of all sides of a figure so if you add up the lengths of the sides you get 23 and 17 respectively.

Answer:

B:  -0.81

Step-by-step explanation:

Choose the r-value with the largest magnitude.

In this case that r-value is B:  -0.81

This signifies a relatively large negative correlation.

Answer:

-9

Step-by-step explanation:

First combine like terms.

-8x+5-2x-4+5x       -8x-2x+5x=-5x

-8x+5-2x-4+5x       5-4=1

Now plug in 2 for x

-5x+1

   ↓

-5(2)+1= -10+1=-9

If this is wrong, I'm sorry for the misguidance.

Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

Answer:

câu này là 500 nhen

Answer:

I have not dealt with slope for a while but if its in the form y=mx+b then the x is the slope so it would be -3/4x and b is the y intercept. the y in the cords is -6

Step-by-step explanation:

y= -3/4x -6

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Guided notes are intended to assist students in actively engaging with course material and enhancing their learning experience. It is recommended that you approach your teacher or instructor for any clarification or additional resources you may need to fully understand the content.

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This approach will not only help you grasp the subject matter more effectively but also promote personal growth and knowledge development.

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The angle that the ramp makes with the ground is approximately 28.07 degrees.

If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.

Here,
The sin of the angle θ is the ratio of the opposite side (height of the ramp) to the adjacent side (length of the inclined portion of the ramp):

Sin(θ) = 8/17

We can use a calculator to find the inverse sin of this ratio to get the angle θ:

θ = sin⁻¹(8/17)

θ ≈ 28.07 degrees

Therefore, the angle that the ramp makes with the ground is approximately 28.07 degrees.

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Answer:

  y = √55

Step-by-step explanation:

All the triangles are similar, so the ratio of short side to hypotenuse is the same for all:

  5/y = y/(5+6)

  y^2 = 55

  y = √55

_____

Comment on the geometry

There are three "geometric mean" relationships that apply to this geometry.

If you were aware of the last of these relationships, you could write down the answer without any "work."

  y = √(5(5 +6)) = √55

__

The geometric mean is the n-th root of the product of n numbers. When there are 2 numbers, it is the square root of their product.

The distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.

The bearing is defined as the angle measured clockwise from the north direction. A ship is anchored off a long straight shoreline that runs north and south.

From two observation points miles apart on shore, the bearings of the ship are 52 degrees and 134 degrees respectively. To find the distance from the ship to each of the observation points, we can use trigonometry.

Let's call the distance from the north observation point to the ship x, and the distance from the south observation point to the ship y. The bearings from the north and south observation points can be drawn as follows:

[asy]

unitsize(1cm);

pair O = (0,0), N = (-2,0), S = (2,0), A = (-2,1), B = (2,-1);

draw(O--N--A,Arrow);

draw(O--S--B,Arrow);

\(label("$52^\circ$", N + 0.3*dir(52), NE);\)

\(label("$134^\circ$", S + 0.3*dir(134), SE);\)

draw(O--A--B--cycle,dashed);

\(label("$x$", (N+A)/2, W);\)

\(label("$y$", (S+B)/2, E);\)

[/asy]

We can use the tangent function to find x and y, since we have the angle and opposite side.

From the north observation point, we have:

\($$\tan(52^\circ) = \frac{x}{2}$$$$x = 2\tan(52^\circ) \approx 2.95$$\)

From the south observation point, we have:

\($$\tan(134^\circ) = \frac{y}{2}$$$$y = 2\tan(134^\circ) \approx 9.88$$\)

Therefore, the distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.

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Answer:

125

Step-by-step explanation:

5^3 = 5 ✕ 5 ✕ 5, and 5 ✕ 5 ✕ 5 = 125

Hope this helps :)

Answer:

125

Step-by-step explanation:

all you have to do is 5*5*5. so multiply the number that many times it tells you on the exponent.

y = 14/11 x is the required equation. Option Cis correct

If the variable y varies directly with x, this is expressed as:

y = kx

where

k is the constant of proportionality

Given that x = 11 and y = 14, hence;

k = y/x

k = 14/11

Substitute k into the original equation

y = kx

y = 14/11 x

Hence the required equation from the given information is y = 14/11 x

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The value of n can be determined by finding the number of visible arcs in the pattern, which is 30 in this case.

To determine the value of n, we need to find the relationship between the total length of visible areas and the number of circles (n).

In the given pattern, each circle contributes to the visible area twice: once as its circumference and once as the overlapping part with the adjacent circles. Since the circumference of each circle is 1 unit, the visible area contributed by each circle is 2 units.

Therefore, the total length of visible areas can be expressed as 2n. Given that the total length is 60 units, we can set up the equation:

2n = 60

Solving this equation, we find:

n = 60/2 = 30

Thus, the value of n is 30.

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A frequency distribution table displays the frequency of each data element in the dataset.

The dataset is given as:

\(\left[\begin{array}{cc}Years & Frequency &Under\ 4& 21.5 & 5-14 & 39.9 &15-19 & 20.3 & 20-24 & 22.3 & 25-34 & 48.4 &35-44 & 37.8 & 45-64 & 75.7 & 65 - over & 54.3\end{array}\right]\)

(a) The frequency distribution table

The frequency distribution table should include, the years, the frequency, and the class midpoint (x)

The class midpoint is the average of each class

For instance;

The midpoint of under 4 is:

\(x = \frac{0 + 4}{2} = 2\)

The midpoint of 5-14 is:

\(x = \frac{5 + 14}{2} = 9.5\)

And so on.....

So, we have:

\(\left[\begin{array}{ccc}Years & Frequency & x & Under\ 4& 21.5 & 2 & 5-14 & 39.9&9.5 &15-19 & 20.3&17 & 20-24 & 22.3 & 22 & 25-34 & 48.4& 29.5 &35-44 & 37.8& 39.5 & 45-64 & 75.7 & 54.5 & 65 - over & 54.3 & 70\end{array}\right]\)

(b) Sample mean and Sample standard deviation

The sample mean is calculated using:

\(\bar x = \frac{\sum fx}{\sum f}\)

So, we have:

\(\bar x = \frac{21.5 \times 2 + 39.9 \times 9.5 + 20.3 \times 17 + 22.3 \times 22 + 48.4 \times 29.5 + 37.8 \times 39.5 + 75.7 \times 54.5 + 54.3 \times 70}{21.5 + 39.9 + 20.3 + 22.3 + 48.4 + 37.8 + 75.7 + 54.3}\)

\(\bar x = \frac{12105.3}{320.2}\)

\(\bar x = 37.81\)

The sample standard deviation is calculated using:

\(\sigma_x = \sqrt\frac{\sum f(x - \bar x)^2}{\sum f - 1}\)

So, we have:

\(\sigma_x = \sqrt{\frac{21.5 \times (2 - 37.81)^2 + 39.9 \times (9.5 - 37.81)^2+..................+ 75.7 \times (54.5 - 37.81)^2+ 54.3 \times (70- 37.81)^2}{21.5 + 39.9 + 20.3 + 22.3 + 48.4 + 37.8 + 75.7 + 54.3 - 1}}\)

\(\sigma_x = \sqrt\frac{154716.23522}{319.2}\)

\(\sigma_x = \sqrt{484.699985025}\)

\(\sigma_x = 22.02\)

Hence, the sample mean and the sample standard deviation are 37.81 and 22.02, respectively.

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Answer:

63

Step-by-step explanation:

Tangents drawn from external point to a circle are congruent.

Therefore,

SG = SD

8x - 9 = 5x + 18

8x - 5x = 9 + 18

3x = 27

\(x = \frac{27}{3} \\ x = 9 \\ SG = 8x - 9 \\ SG =8 \times 9 - 9\\ SG =72 - 9 \\ \huge \red{ \boxed{SG =63}}\)

Answer: 63

Tangents drawn from external point to a circle are congruent.

SG = SD

8x - 9 = 5x + 18

8x - 5x = 9 + 18

3x = 27

Step-by-step explanation: 63