Find the constant rate of change for each graph.​

Answer:

(a) 3x+28+5x+52+2x-10=180 (∠ sum of Δ)

                          10x+70=180

                                 10x=110

                                     x=11

(b) ∠C = 2x-10

           = 2(11)-10

           =  12°

Answer:

Step-by-step explanation:

probability ≤|1|

or -1≤ probability ≤1

Answer:

No

Step-by-step explanation:

The sum of the probabilities in a probability distribution is always 1.

Answer:

Step-by-step explanation: well, you will more than likely get it at least 60%-80% of the time! If this doesn't help i can try to explain in a lot more detail unless someone does for me!

The area of the triangle is 97.07 units².

Given is a triangle we need to find the area,

So, let the triangle be ABC and the altitude be AD.

Using the trigonometric ratios,

Sin 52° = AB / AD

Sin 52° = 9 / AD

AD = 9 / Sin 52°

AD = 11.42

Now,

Tan 26° = DC / AD

Tan 26° = DC / 11.42

DC = 5.56

Also,

Cos 26° = AD / AC

Cos 26° = 11.42 / AC

AC = 12.7

BC = 11.42 + 5.56

BC ≈ 17

Now, the sides are BC = 17, AC = 12.7 and AB = 9,

The area of the triangle = 1/2 x BC x AD = 1/2 x 17 x 11.42

= 5.71 x 17

= 97.07

Hence the area of the triangle is 97.07 units².

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The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

0.0006s2+0.0096

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

Answer for this question as follows

2–2=0

5–2=3

13–5=8

28–13=15

As we observe the difference of the difference is

3–0=3

8–3=5

15–8=7

Here the differnce is increasing by two

X-15=7+2=9

X=24

So the required answer is 28+24=52

Answer:

neither

Step-by-step explanation:

Given:

The height of the rocket after t second taking off is given by the formula,

Required:

We need to find the time when the rocket hit the ground.

Explanation:

We know that the greatest height is zero when the rocket hit the ground.

Substitute h =0 in the given equation to find the time when the rocket hit the ground.

Divide both sides of the equation by (-2).

Taking out the common term.

The time should not be of negative value.

Answer:

- sinu

Step-by-step explanation:

using the difference identity for sine

sin(a - b) = sinacosb - cosasinb

then

sin(u - π )

= sinucosπ - cosusinπ

= sinu(- 1) - cosu(0)

= - sinu - 0

= - sinu

Answer:

B and E

Step-by-step explanation:

the graph (Justine) shows the line

y = 2x

the line for Velma is

y = 4x

now we need to remember that the slope (inclination) of a line is the factor of x (so, 2 and 4 in the two line equations).

a slope is expressed as y/x and indicates how many units y changes when x changes a certain amount of units (like 1).

as described (and also confirmed by the graph) the x units are minutes, and the y units are meters.

so, as per her slope, Velma moves 4 meters in 1 minute.

and Justine moves 2 meters in 1 meter.

so, Justine is half as fast as Velma.

and therefore, Justine moves a shorter distance than Velma each minute.

Answer:

Step-by-step explanation:

B and E

Using our equation y = 6x + 2, we were able to write out values for our table of function.

A function table is a table that shows which coordinates should be plotted in the coordinate system, so that you can draw the graph of the function.

Since we have our equation, we can proceed to find what values of y we would have when x is in a certain condition.

Using from -2 to + 5, we can have a good table of function.

When x = -2

y = 6x + 2

y = 6(-2) + 2 = -10

When x = -1

y = 6(-1) + 2 = -4

When x = 0

y = 6(0) + 2 = 2

When x = 1

y = 6(1) + 2 = 8

When x = 2

y = 6(2) + 2 = 14

When x = 3

y = 6(3) + 2 = 20

When x = 4

y = 6(4) + 2 = 26

When x = 5

y = 6(5) + 2 = 32

Using the values above, we have a good function table and can proceed to plot a graph if needed.

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Step-by-step explanation:

4x^2  = 2 * 2 * x * x

10 x = 2 * 5 * x

LCD will be     2 * 5 * 2 * x  * x = 20x^2

Answer:

1/2 and 1/6

Step-by-step explanation:

The tables which shows a proportional relationship between x and y are table 3 and table 4.

Using ratio to find the proportional relationship

Table 1

x : y = 8 : 8

= 1 : 1

x : y = 12 : 10

= 6 : 5

Not proportional

Table 2:

x : y = 2 : 3

x : y = 3 : 8

Not proportional

Table 3:

x : y = 5 : 3

x : y = 10 : 6

= 5 : 3

Proportional

Table 4:

x : y = 4 : 1

x : y = 16 : 4

= 4 : 1

Proportional

Ultimately, table 3 and table 4 shoes a proportional relationship between x and y.

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Answer:

12 ounces

Step-by-step explanation:

.17×12=2.04

Answer:

Area of square = (side)^2 = 5476 sq.cm

side = √5476 sq.cm

side = √(74 cm)^2

side = 74 cm

Step-by-step explanation:

Answer:

74

Step-by-step explanation:

Since it's a square, all the sides are the same. Just square root 5476.

Answer: z = 6

This illustrates the rule of large numbers, according to which the sample mean approaches the population mean as the sample size rises.

The likelihood or chance of an occurrence occurring is measured by probability. It is expressed as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty of the occurrence. Additionally, probabilities can be stated as percentages, with 0% denoting an improbable event and 100% denoting a specific event. By dividing the number of favourable outcomes by the total number of potential outcomes, the probability of an occurrence is determined.

given

Since there are six potential outcomes and only one of them is a 5, the theoretical probability of rolling a 5 on a fair die is 1/6.

Mya's experimental chance of rolling a 5 after 100 trials is 25/100, which can be expressed as 1/4. Her experimental probability after 200 attempts is 30/200, which can be expressed as 3/20.

This implies that the experimental probability moves closer to the theoretical probability as the number of trials rises.

In other words, Mya's experimental findings get closer to the anticipated theoretical probability the more times she rolls the die.

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The complete question is :-   Communicate and Justify Mya rolls a fair die and counts the number of times she rolls a 5. She rolls a 5 on 25 of the first 100 trials. She rolls a 5 on 30 of the first 200 trials. Compare the experimental probability to the theoretical probability after 100 trials and 200 trials. What do you notice? Explain.

According to the given data the equation of the new function is (D) f(x) = 2x - 4.

An equation is a mathematical statement that indicates that two expressions are equal. It contains an equals sign "=" and may involve variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, etc.

If we translate the function h(x) = 2x - 9 up by 5 units, the new function f(x) will have the form:

f(x) = h(x) + 5

Substituting the definition of h(x) into this equation, we get:

f(x) = 2x - 9 + 5

Simplifying, we have:

f(x) = 2x - 4

Therefore, the equation of the new function is (D) f(x) = 2x - 4.

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Answer:

12.25

Step-by-step explanation:

There are 36 outcomes in a throw of 2 dice throws here.

The amount we would be willing to pay is computed here as the expected product value for the 2 dice as we are risk neutral, therefore we would be using the expected value.

The expected values here are computed as:

X P(X = x) xP(X =x)

1 1 1

2 2 4

3 2 6

4 3 12

5 2 10

6 4 24

8 2 16

9 1 9

10 2 20

12 4 48

15 2 30

16 1 16

18 2 36

20 2 40

24 2 48

25 1 25

30 2 60

36 1 36

36 441

Using the above table, the expected amount here is computed as:

\(E(X) = \frac{441}{36} = 12.25 \)

Therefore 49/4 is the required expected value here.

The expected value represents the amount you are willing to pay.

The amount you are willing to pay is #12.25

Let the dice be A and B.

So, we have:

\(A = \{1,2,3,4,5,6\}\)

\(B = \{1,2,3,4,5,6\}\)

The sample space of the product of the outcomes of the dice is:

\(S = \{1,2,3,4,5,6\\2,4,6,8,10,12\\3,6,9,12,15,18\\4,8,12,16,20,24\\5,10,15,20,25,30\\6,12,18,24,30,36\}\)

The sample size is:

\(n(S) = 36\)

The amount you are willing to pay is the expected value of the sample space.

This is calculated using:

\(Expected = \frac{\sum(S)}{n(S)}\)

\(Expected = \frac{1+2+3+4+5+6+.......+36}{36}\)

\(Expected = \frac{441}{36}\)

\(Expected = 12.25\)

Hence, the amount you are willing to pay is #12.25

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If g(t) is cut in half, then t is doubled. Halving the growth factor halves the rate of growth, reducing the time required for a generation to develop to full size.

Growth factor refers to a mathematical expression or a metric that measures the rate of increase or growth of a quantity over time. It is used in many fields such as biology, economics, finance, and others to quantify the increase in size, population, revenue, or any other variable of interest. The growth factor can be represented as a ratio, percentage, or an exponential function and is used to predict future growth based on past trends.

3 potential points

Three tries are permitted.

If g(t) is divided in half, t is also divided in half. This is because the growth factor is a measure of the rate of growth, and halving it equals halves the rate of growth. As a result, the time required for a generation to develop to full size is cut in half.

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Answer:

1/9

Step-by-step explanation:

The probability of picking a even number is 1/3

The probability of picking another even number is 1/3(if u put the first one back)

So u multiply 1/3 times 1/3 which gives u 1/9 which is ur answer hope this helps

Answer:

1/9

Step-by-step explanation:

3 cards total

1 even number

P(even) = even/total

                1/3

Put the card back

3 cards total

1 even number

P(even) = even/total

                1/3

P(even, replace, even) = P(even) * P(even) =1/3*1/3 = 1/9

Answer:

see below

Step-by-step explanation:

when you divide a fraction, it's better to use multiplication of its reversed fraction = flip the y fraction upside down & multiply the first one

then you'll cancel the y & x and result in

y/x

Answer:

432

Step-by-step explanation:

Use the values of A, B, C to find the discriminant

The rational function graphed in this problem is defined as follows:

y = -2(x - 1)/(x² - x - 2).

The vertical asymptotes of the rational function for this problem are given as follows:

x = -1 and x = 2.

Hence the denominator of the function is given as follows:

(x + 1)(x - 2) = x² - x - 2.

The intercept of the function is given as follows:

x = 1.

Hence the numerator of the function is given as follows:

a(x - 1)

In which a is the leading coefficient.

Hence:

y = a(x - 1)/(x² - x - 2).

When x = 0, y = -1, hence the leading coefficient a is obtained as follows:

-1 = a/2

a = -2.

Thus the function is given as follows:

y = -2(x - 1)/(x² - x - 2).

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Answer:

Step-by-step explanation:

I used x instead of ()

The initial function is:

● x = 1

The function after the changes is

● (1/2)x + 7

The function was shifted 15 unit to the left

Answer:

if they are similar then their sides are

proportional and the following would be true:

40/30 = 48/36

reduce both sides:

4/3 = 4/3

so, yes, they are similar.

Step-by-step explanation: