Does the order pair, (2,3) satisfy the following function y=-3x-2 Yes,No

Answer:

59049.

Step-by-step explanation:

It is given that, 2 years later, two years ago, the population of this same city was 81,000 and today it is 65,610.

So, graph passing through (2,81000) and (-2,65610).

The general exponential function is

\(y=ab^x\)

where, a is initial value or present year population and b is growth factor.

Since graph passing through (2,81000) and (-2,65610), therefore the above equation must be satisfied by these points.

\(81000=ab^2\)    ...(1)

\(65610=ab^{(-2)}\)    ...(2)

Multiplying (1) and (2), we get

\(81000\times 65610=ab^2\times ab^{-2}\)

\(5314410000=a^2\)

Taking square root on both sides.

\(72900=a\)

Substitute a=72900 in (1).

\(81000=72900b^2\)

\(\dfrac{81000}{72900}=b^2\)

\(\dfrac{10}{9}=b^2\)

Taking square root on both sides.

\(\dfrac{\sqrt{10}}{3}=a\)

So, the population function is

\(y=72900\left(\dfrac{\sqrt{10}}{3}\right)^x\)

Substitute x=-4 in the above equation, to find the population of four years ago.

\(y=72900\left(\dfrac{\sqrt{10}}{3}\right)^{-4}\)

\(y=72900(0.81)\)

\(y=59049\)

Therefore, the population of four years ago is 59049.

Answer:

A

Step-by-step explanation:

Answer: B: the length of the wooden sides of the garden box

Step-by-step explanation:

because if she is going to plant flowers she will need to know how big the box she would need for her plants

Answer:

$768

Step-by-step explanation:

8 x 12 = 96 m²

1 m² = $8.00

96m² x $8.00 = $768

Jose should invest 44% of his portfolio in the risky market. To determine what percentage of Jose's portfolio should be invested in the risky market, we need to use the formula for calculating portfolio return:

Portfolio Return = Risk-Free Rate + (Risk Aversion x Risk Premium)
Risk Premium = Expected Market Return - Risk-Free Rate
Using the given values, we can calculate the risk premium:
Risk Premium = 12% - 1% = 11%
Then, we can calculate the portfolio return using Jose's level of risk aversion:
Portfolio Return = 1% + (2 x 11%) = 23%
Next, we need to calculate the proportion of Jose's portfolio that should be invested in the risky market. This can be done using the following formula:
Proportion of Portfolio in Risky Market = (Portfolio Return - Risk-Free Rate) / (Risk Premium x Standard Deviation of Market Portfolio)
Plugging in the values, we get:
Proportion of Portfolio in Risky Market = (23% - 1%) / (2 x 25%) = 44%
Therefore, Jose should invest 44% of his portfolio in the risky market.

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The 1 N block at rest will remain at rest unless external force greater than 1 N acts on it.

The 1 N block with 2 N force applied in one horizontal direction, will move in the direction of the 2 N force.

The given parameters:

The model for the 1 N block as rest is given as;

                                                ↑ 1 N (normal reaction)

                                               ⊕

                                                ↓ 1 N (weight of the block)

The model for the 1 N block with 2 N force applied in one horizontal direction is given as;

            (normal reaction)  1 N      ↑      

                                                     ⊕ →     2 N (horizontal force)

     (weight of the block)  1 N       ↓      

The 1 N block at rest will remain at rest unless external force greater than 1 N acts on it.

The 1 N block with 2 N force applied in one horizontal direction, will move in the direction of the 2 N force.

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It should be noted that z^4 will be -32 in rectangular form.

Based on the information, z = r(cos θ + i sin θ), and provided positive integer n, then it is implied that:

z^n = r^n (cos nθ + i sin nθ)

In this instance, we need to solve for z^4 in rectangular form when z = -2 - 2i. Firstly, we must calculate |z| and arg(z):

|z| = √((-2)^2 + (-2)^2) = 2√2

arg(z) = arctan(-2/-2) = π/4

Leveraging De Moivre's theorem, we can effectively deduce the value of z^4 as:

z^4 = (2√2)^4 (cos (4π/4) + i sin (4π/4))

= 32 (cos π + i sin π)

= -32

Concludedly, z^4  resolved in rectangular form is -32.

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Answer:

10 small and 20 large

Step-by-step explanation:

Answer:

The answer is 10 small and 20 large

Step-by-step explanation:

First of all times these by the same number and it would equal 600 sorry for leaving y'all to think a little...

Answer:

Step-by-step explanation:

1.) Find the slope

2.) Use the  slope-point form for a line

\(y-y_0=m(x-x_0)\)

Pick any point (-4,-4) or (4,6) into \(y_0 and x_0\\\)

but your equation is y= 5/4x+1

The situations that can be modeled by uniform distribution include;

Option 2) is: When each discrete value is

equally likely to occur.

Option 3) is:  When each value of a continuous random variable is equally likely to occur.

Since each value has an equal chance of occurrence, thus this situation can be  modelled by Uniform distribution.

Since each value of a continuous random variable is equally likely to occur, that it follows a continuous uniform distribution.

A uniform distribution is a type of probability distribution in statistics in which all outcomes are equally likely. A deck of cards has uniform distributions because the chances of drawing a heart, a club, a diamond, or a spade are all equal. When you sample a random element, you do so according to some distribution.

The term "uniformly" refers to sampling from a uniform distribution, i.e., from a set in which drawing each element is equally likely. In statistics, it is a type of probability distribution in which every possible outcome has an equal chance of occurring. Because each variable has an equal chance of being the outcome, the probability is constant.

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If the original quantity is 8 and the new quantity is 2, then the correct answer is 75%.

For this question we need to subtract and multiply the numbers. We know that 2 = 25% of 8 so:

\(\boxed{8-2=6}\\\boxed{6/2=3}\)

We are going to take that 25% and multiply it with 3 to get are final answer.

\(\boxed{25*3=75}\\\boxed{So,2=75}\)

Therefore, If the original quantity is 8 and the new quantity is 2, then the correct answer is 75%.

Answer:

21

Step-by-step explanation:

21/3 = 7

Given

Arielle plans to purchase hanging baskets for her front porch. There are three businesses in her area that sell hanging baskets and she plans to purchase the baskets from one of these business.

To find: Which answer best describes the sample and population?

Explanation:

It is given that,

Arielle plans to purchase hanging baskets for her front porch. There are three businesses in her area that sell hanging baskets and she plans to purchase the baskets from one of these business.

That implies,

Sample: all available hanging baskets at one of the businesses in town that sells them.

And,

Population: all available hanging baskets at the three businesses in town that sell them.

The roots are located at (2,0) and (4,0)

In short, the roots are x = 2 and x = 4

The term "x intercept" is another way of saying "root". Both describe the location where the graph crosses the x axis.

Answer:

(2,0) and (4,0)

Step-by-step explanation:

Hello!

The roots of the parabola are the coordinates where the graph intersects the x-axis (y = 0).

As you can see, the vertex of the graph is above the x-axis, and opens down, meaning that there are two roots for the graph.

Points of intersection:

Therefore, the coordinates of the roots are (2,0) and (4,0).

Answer:h

Step-by-step explanation:

Answer:

Step-by-step explanation:

8x+47=8(x+5)

8x+47=8x+40

47=40

which is impossible so it has no solution.

Answer:

option A infinite rational values of x greater than 500

Step-by-step explanation:

i just finished the quiz on edge

Their experimental design was Independent variable was contact plates placed on the tile for less than 5 seconds. Option D is the correct answer.

The independent variable is the factor that is being manipulated by the experimenter. In this case, the experimenter is manipulating the length of time the plates are on the tiles. The dependent variable is the factor that is being measured by the experimenter. In this case, the experimenter is measuring the amount of bacteria on the plates.

The control is a group of subjects that are not exposed to the independent variable. In this case, the control group is the floor tiles that have been inoculated with chicken broth. The control group is used to compare the results of the experimental group, which is the group of plates that have been dropped on the tiles.

The standardized variables are the factors that are kept the same for both the experimental group and the control group. In this case, the standardized variables are the type of food, the surface of the tiles, and the temperature of the room. These factors are kept the same so that the only difference between the two groups is the length of time the plates are on the tiles.

This experimental design is a well-controlled experiment because the experimenter has taken steps to ensure that the only difference between the two groups is the length of time the plates are on the tiles. This will allow the experimenter to make accurate conclusions about the effect of the independent variable on the dependent variable. Option D is the correct answer.

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The following question may be like this:

The Myth busters conducted an experiment to test the five second rule. Which of the following represented their experimental design?

Answer:

60 degrees

Step-by-step explanation:

Answer:

C 60*

Step-by-step explanation:

Step-by-step explanation:

18. y-(-2) = -6(x-2)

y+2 = -6x+12

y = -6x+12-2

y = -6x+10

19. y-(-4) = -½(x-4)

y+4 = -½x+2

y = -½x+2-4

y = -½x-2

The probability that exactly one component meets specifications can be found by taking the product of the probabilities. Therefore, P(X = 1) ≈ 0.0019 (rounded to five decimal places).

The probability that a component meets specifications is given by: P(meets specifications) = p

Now, let X be the number of components that meet specifications. Since there are three mechanical components, X can take the values 0, 1, 2 or 3. Now, we need to determine P(X = 1).

The probability that exactly one component meets specifications can be found by taking the product of the probabilities that one component meets specifications and the other two do not meet specifications.

P(X = 1) = P(One component meets specifications)

= P(meets specifications) × P(does not meet specifications) × P(does not meet specifications) + P(does not meet specifications) × P(meets specifications) × P(does not meet specifications) + P(does not meet specifications) × P(does not meet specifications) × P(meets specifications) = p(1 − p)(1 − p) + (1 − p)p(1 − p) + (1 − p)(1 − p)p

= 3p(1 − p)2 = 3(0.95)(0.02)2 ≈ 0.0019

Therefore, P(X = 1) ≈ 0.0019 (rounded to five decimal places).

The above calculation shows that there is only a small probability that exactly one component will meet specifications.

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Answer: 80 Fluid Oz

Step-by-step explanation:

I first have to find out how many fluid Oz there are in one bottle. If there are 16 Oz in 2 bottles, I have to divide 16/2=8. Now I know there are 8 Oz in each bottle. Now I have to multiply 8 by 10. 10*8=80. There is 80 Oz all together.

Hope this helps! :)

Answer:

the answer is -50

hope this helps <3

Answer:

hundredths; 81.73

Step-by-step explanation:

If the number underlined is two, then it will rounding to the hundredths place. Since the number after it is 7, which is greater than 5, we get 81.73.

The flow rate of water in each steel pipe at 25°C is as follows:

Pipe 1: 1.2 ft³/s

Pipe 2: 0.3 ft³/s

Pipe 3: 0.3 ft³/s

Pipe 4: 0.6 ft³/s

To calculate the flow rate of water in each steel pipe, we need to consider the properties of the pipes and the lengths of the sections through which the water flows. The schedule 40 pipes mentioned in the question are commonly used for various applications, including plumbing.

Given the lengths of each pipe section, we can calculate the total equivalent length (sum of all lengths) to determine the pressure drop across each pipe. Since the question mentions ignoring minor losses, we assume that the flow is fully developed and there are no significant changes in diameter or fittings that would cause additional pressure drop.

Using the flow rate formula Q = ΔP * A / √(ρ * (2 * g)), where Q is the flow rate, ΔP is the pressure drop, A is the cross-sectional area of the pipe, ρ is the density of water, and g is the acceleration due to gravity, we can calculate the flow rates.

Considering the given data, we can directly assign the flow rates to each pipe:

Pipe 1: 1.2 ft³/s

Pipe 2: 0.3 ft³/s

Pipe 3: 0.3 ft³/s

Pipe 4: 0.6 ft³/s

The flow rate of water in each steel pipe at 25°C is determined based on the given information. Pipe 1 has a flow rate of 1.2 ft³/s, Pipe 2 and Pipe 3 have flow rates of 0.3 ft³/s each, and Pipe 4 has a flow rate of 0.6 ft³/s. These values represent the volumetric flow rate of water through each pipe under the specified conditions.

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Answer:

128, -512, 2048

Step-by-step explanation:

the next term is calculated by multiplying the previous term by -4

Answer:

the square root of d

Step-by-step explanation:

if \(u^{2} = d\) then the square root property would take the square root of each side of the equation. the square root of \(u^{2}\) would just be \(u\) because it's already squared and its exponent would just be cancelled out, while d would simply turn to \(\sqrt{d}\).

meaning if \(u^{2} =d\) then \(u=\sqrt{d}\), because you've done the same thing to both sides of the equal sign, so they remain equivalent.

The square root property says the value of u²=d is u=±√d

The square root of a number is defined as the value, which gives the number when it is multiplied by itself. The radical symbol √ is used to indicate the square root. For example, √16 = 4. The radical symbol is also called a root symbol or surds.

Given here: The expression u²=d

The square root of a number is a value, which on multiplication by itself, gives the original number. The square root is an inverse method of squaring a number. To indicate that we want both the positive and the negative square root of a radicand we put the symbol ± (read as plus minus) in front of the root.

Thus we have the given expression as u²=d

Taking square root on  both sides we get u=±√d

Hence, The square root property says the value of u²=d is u=±√d

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Answer:

3

Step-by-step explanation:

4*3=12

3*3=9

5*3=15

So you find the number that can be multiplied or divided by each side the same to get the new number

Explanation:

Focus on the horizontal sides. The jump from 3 to 9 is "times 3".

If you focus on the vertical sides, the jump from 4 to 12 is also "times 3".

Lastly, the slanted sides has a jump from 5 to 15 which is also "times 3".

This all shows the scale factor is 3. The larger triangle on the right has its sides 3 times as long compared to the smaller triangle.

Answer:

"An expression that represents repeated multiplication of the same factor is called a power. The number 5 is called the base, and the number 2 is called the exponent. The exponent corresponds to the number of times the base is used as a factor." -wwwmathplanet.com

Answer:

an expression tells hiw many times is base used

Answer

Step-by-step explanation: