Please help me with this question.

Khan academy- dilate triangles

Answer:

X=1.899

I think

Step-by-step explanation:

2X+4.899=X+3

X=1.899

Answer:

x=3

Step-by-step explanation:

:)

In the function f(x) = a(b^x), the initial value is always a because a is independent on x. So, when x changes, b^x will change as well but a will remain the same.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. A function is an equation with a single solution for y for each value of x. A function pairs each input of a particular type with exactly one output.

For example, let a = 2, b = 3, and x = 0: f(0) = 2 3^0 = 2 1. If x = 1, then f(1) = 2 3^1 = 2 3. If x = 2, then f(2) = 2 3^2 = 2 9, etc. As you can notice a = 2 remain unchanged as the initial value, because a is independent on x change.

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Answer:

4 only play piano

Step-by-step explanation:

12 + 16 = 28

32 - 28 = 4

Answer:

61 pennies

Step-by-step explanation:

d + p = 99

0.1d + 0.01p = 4.41

d = 99 - p

0.1(99 - p) + 0.01p = 4.41

9.9 - 0.1p + 0.01p = 4.41

-0.09p = -5.49

p = 61

Answer: 61 pennies

Answer:

2.42666666666666666

Step-by-step explanation:

2.56+2.02+2.7 = 7.28

7.28/3 = 2.426666666

Answer: Im not giving answer to that but i will do this one

A water tank holds 256 gallons but is leaking at the rate of 3 gallons per week. A second water tank holds 384 gallons and is leaking at a rate of 5 gallons per week.After how many weeks will the amount of water in the two tanks be the same.

Step-by-step explanation:

you have: one is leaking 3 gallons per week and holds 256 gallons; whereas, the other one is leaking 5 gallons per week and holds 384 gallons.

Set up both the equations....

In y=mx+b form--->>>

y=-3x+256

y=-5x+384

To figure out when they will be equal..set the equations equal to each other....(remember to isolate the variable)

-3x+256=-5x+384

-3x+256=-5x+384

     -256        -256

-3x=-5x+128

-3x=-5x+128

+5x+5x

2x=128

x=64

After 64 weeks the amount of water in both tanks will be the same.

Thus, your answer.

Answer:

1000m is greater than 10000cm

Step-by-step explanation:

centimeter to meters would be

10000cm --) 100m

Answer:

1000 m is greater

Step-by-step explanation:

Hope it helps you:)

If you multiply a certain number by 2.5, add 1.7 the expression is as follows:

2.5x + 1.7

Variables are letters use to represent numbers in a mathematical expression.

Therefore,

let the certain number = x

The certain number is multiplied by 2.5.Therefore,

Then , we add 1.7 to the product of 2.5 and x. Therefore,

The final expression is as follows:

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The minimum sample size is  n = 97

The minimum sample size is define as the sample size used in a study is usually determined based on the cost, time, or convenience of collecting the data, and the need for it to offer sufficient statistical power.

We have the information from the question is:

The margin of error is  E = 1.25

The  standard deviation is  s = 7.5

The confidence level is  90% then the level of significance is mathematically represented as:

\(\alpha =100-90\)

\(\alpha =10%\)%

\(\alpha =0.10\)

Now, The critical value of \(\frac{\alpha }{2}\) from the normal distribution table  

The value is \(Z_\frac{\alpha }{2}=1.645\)

The minimum sample size is mathematically evaluated as:

\(n=\frac{Z_\frac{\alpha }{2}(s^2)}{E^2}\)

Plug all the values in above formula:

\(n=\frac{1.645^2(7.5)^2}{1.25^2}\)

After calculation, we get :

n = 97

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The given question is incomplete, complete question is:

What is the minimum sample size required to estimate a population mean with 90% confidence when the desired margin of error is 1.25? The standard deviation in a pre-selected sample is  7.5

Answer:

Step-by-step explanation:

(x^a)^b=(x)^{a×b}

x¹² would be the answer. The 3 and 4 multiply together. x( ⁴ * ³) = x¹²

If the production of wood tables on an assembly line increases from 1600 tables per shift to 2000 tables per shift, the labor productivity will increase by 25%.We need to determine the percentage change.

To calculate the increase in labor productivity, we need to compare the difference in production levels and determine the percentage change.The initial production level is 1600 tables per shift, and the increased production level is 2000 tables per shift. The difference in production is 2000 - 1600 = 400 tables.

To calculate the percentage change, we divide the difference by the initial production and multiply by 100:

Percentage Change = (Difference / Initial Production) * 100 = (400 / 1600) * 100 = 25%.

Therefore, the correct answer is option C) 25%, indicating that labor productivity will increase by 25% when the production is increased to 2000 tables per shift.

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Answer:

Step-by-step explanation:

Before we begin this, there are a few things that need to be said and a few formulas you need to know. First is that we need to use the work form of a parabola, which is

\(y=a(x-h)^2+k\)

All of the parabolas listed in blue highlight open either up or down, and this work form represents those 2 options. The only thing we need to know is that if there is a negative sign in front of the a, the parabola opens upside down like a mountain instead of up like a cup.

Another thing we need to know is how to find the focus of the parabola. The formula to find the focus for an "up" parabola is (h, k + p) and the formula to find the focus for an upside down parabola is (h, k - p). Then of course is the issue on how to find the p. p is found from the a in the above work form parabola, where

\(p=\frac{1}{4|a|}\) .

In order to accomplish what we need to accomplish, we need to put each of those parabolas into work form (as previously stated) by completing the square. I'm hoping that since you are in pre-calculus you have already learned how to complete the square on a polynomial in order to factor it.  Starting with the first one, we will complete the square. I'll go through each step one at a time, but will provide no explanation as to how I got there (again, assuming you know how to complete the square).

\(y=-x^2+4x+8\) and, completing the square one step at a time:

\(-x^2+4x=-8\) and

\(-(x^2-4x+4)=-8-4\) and

\(-(x-2)^2=-12\) and

\(-(x-2)^2+12=y\)

From this we can see that the h and k values for the vertex are h = 2 and k = 12. Now to find p.

\(|a|=1\), ∴

\(p=\frac{1}{4(1)}=\frac{1}{4}\)

Using the correct focus formula (h, k - p), we get that the focus is

\((2, 12-\frac{1}{4})\) which simplifies to (2, 11.75) which is choice 2 in your options.

Now for the second one (yes, this takes forever...)

\(y=2x^2+16x+18\) and completing the square one step at a time:

\(2x^2+16x=-18\) and

\(2(x^2+8x+16)=-18+32\) and

\(2(x+4)^2=14\) and

\(2(x+4)^2-14=y\)

From this we can see that the vertex is h = -4 and k = -14. Now to find p from a.

\(|a|=2\), ∴

\(p=\frac{1}{4(2)}=\frac{1}{8}\) .

Using the correct focus formula for an upwards opening parabola (h, k + p),

\((-4, -14+\frac{1}{8})\) which simplifies down to (-4, -13.875) which is choice 3 in your options.

Now for the third one...

\(y=-2x^2+5x+14\) and completing the square step by step:

\(-2x^2+5x=-14\) and

\(-2(x^2-\frac{5}{2}x+\frac{25}{16})=-14-\frac{50}{16}\) and

\(-2(x-\frac{5}{4})^2=-\frac{137}{8}\) and

\(-2(x-\frac{5}{4})^2+\frac{137}{8}=y\)

From that we can see the vertex values h and k. h = 1.25 and k = 17.125. Now to find p.

\(|a|=2\), ∴

\(p=\frac{1}{4(2)}=\frac{1}{8}\)

Using the correct focus formula for an upside down parabola (h, k - p),

\((1.25, 17.125-\frac{1}{8})\) which simplifies down to (1.25, 17) which is choice 4 in your options.

Now for the fourth one...

\(y=-x^2+17x+7\) and completing the square step by step:

\(-x^2+17x=-7\) and

\(-(x^2-17x)=-7\) and

\(-(x^2-17x+72.25)=-7-72.25\) and

\(-(x-8.5)^2=-79.25\) and

\(-(x-8.5)^2+79.25=y\)

From that we see that the vertex is h = 8.5 and k = 79.25. Now to find p.

\(|a|=1\), ∴

\(p=\frac{1}{4(1)}=\frac{1}{4}\)

Using the correct formula for an upside down parabola (h, k - p),

\((8.5, 79.25-\frac{1}{4})\) which simplifies down to (8.5, 79) and I don't see a choice from your available options there.

On to the fifth one...

\(y=2x^2+11x+5\) and again step by step:

\(2x^2+11x=-5\) and

\(2(x^2+\frac{11}{2}x+\frac{121}{16})=-5+\frac{242}{16}\) and

\(2(x+\frac{11}{4})^2=\frac{81}{8}\) and

\(2(x+\frac{11}{4})^2-\frac{81}{8}=y\)

from which we see that h = -2.75 and k = -10.125. Now for p.

\(|a|=2\), ∴

\(p=\frac{1}{4(2)}=\frac{1}{8}\)

Using the correct focus formula for an upwards opening parabola (h, k + p),

\((-2.75, -10.125+\frac{1}{8})\) which simplifies down to (-2.75, -10) which is choice 1 from your options.

Now for the last one (almost there!):

\(y=-2x^2+6x+5\) and

\(-2x^2+6x=-5\) and

\(-2(x^2-3x+2.25)=-5-4.5\) and

\(-2(x-1.5)^2=-9.5\) and

\(-2(x-1.5)^2+9.5=y\)

from which we see that h = 1.5 and k = 9.5. Now for p.

\(|a|=2\), ∴

\(p=\frac{1}{4(2)}=\frac{1}{8}\)

Using the formula for the focus of an upside down parabola (h, k - p),

\((1.5, 9.5-\frac{1}{8})\) which simplifies down to (1.5, 9.375) which is another one I do not see in your choices.

Good luck with your conic sections!!!

Answer:

Seasonal allergies

Step-by-step explanation:

She migtht have seaonal allergies

The formula for calculating the sample mean is to take the sum of the values divided by the total number of values.

In this case, the two players would take the sum of the number of rounds they survived in their 101010 attempts, and then divide that sum by 101010. That would give them their individual sample means for the number of rounds survived.

To calculate the difference in the sample means of two players playing 101010 attempts, we can first calculate the sample mean of each player. This can be done by taking the sum of all attempts and then dividing that by the number of attempts. For example, if Player 1 had 5 attempts and survived 3 rounds, the sample mean would be 3/5 or 0.6. If Player 2 had 8 attempts and survived 4 rounds, the sample mean would be 4/8 or 0.5. We can then subtract the sample mean of Player 1 from the sample mean of Player 2 to get the difference in the sample means, which in this example would be 0.6 - 0.5 = 0.1.

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Answer: Estimates True Difference

Step-by-step explanation: The t test estimates the true difference between two group means using the ratio of the difference in group means over the pooled standard error of both groups.

The t-test is a statistical test that is used to test the difference between two population means.

This test is used when the population variances are not known and are assumed to be equal. The t-test for the difference between the means of 2 independent populations assumes that the population distribution of the two groups is normal or nearly normal.The t-test assumes that both populations have the same standard deviation.

It is also assumed that the samples are independent, meaning that the values in one sample are not related to the values in the other sample. Another assumption of the t-test is that the samples are randomly selected from their respective populations. Finally, the t-test assumes that the sample sizes are large enough to assume a normal distribution.

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Answer:

y= 50x + 200

Step-by-step explanation:

Answer:

Step-by-step explanation:

Sorry I only know what general form is, not general formula.

First, subtract 2 from each side of 4x^2+10x=2

4x^2+10x-2=0

Divide by 2

2x^2+5x-1=0

Now use quadratic formula

(-5±√33)/4

You can also complete the square to solve the answer.

Answer:

so whats your question?

Step-by-step explanation:

1WHATS

2YOUR

3QUESTION

4?????

Stars to Circles Ratio: 4 to 3

Circles to Stars Ratio: 3 to 4

Answer:

4to 3

Step-by-step explanation:

because I'm smart an I've all ready learned about this I'm 100% for sure

To find the surface area of the figure, we need to consider the individual surfaces and add them together.

First, let's identify the surfaces of the figure:

The lateral surface area of the larger prism (excluding the base)

The two bases of the larger prism

The lateral surface area of the smaller prism (excluding the base)

The two bases of the smaller prism

The lateral surface area of a prism is given by the formula: perimeter of the base multiplied by the height.

The bases of the prisms are rectangles, so their areas can be calculated by multiplying the length by the width.

To find the missing prism's surface area, we need to consider that it is a smaller prism nested inside the larger prism. The lateral surface area and bases of the missing prism should also be included.

Once we have calculated the individual surface areas, we add them together to find the total surface area of the figure.

Without specific measurements or dimensions of the figure, it is not possible to provide a numerical answer. Please provide the necessary measurements or dimensions to calculate the surface area.

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Answer:

Hello!

___________________-

196 1/12 - 13 9/12 = 547/3

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helped you!

Answer:

547/3 I think :>

Step-by-step explanation:

Answer:

Yes, and if you need extra help try yay math

Step-by-step explanation:

The dimensions of the box that will have the greatest volume are:

Length and width of the base: 2√3 feet

Height: h = (36 - x^2) / 8x = (√3)/2 feet

Let the length and width of the base be x, and let the height be h.

The surface area of the top is x^2, and the surface area of the remaining four sides is \(2(xh + xh) = 4xh\).

The cost of the top is \(x^2\), and the cost of the remaining four sides is \(2(4xh) = 8xh\). Therefore, the total cost is:

\(C(x,h) = x^2 + 8xh\)

We know that the total cost is $36, so we have:

\(x^2 + 8xh = 36\)

Solving for h, we get:

\(h = (36 - x^2) / 8x\)

The volume of the box is given by:

\(V(x,h) = x^2h\)

Substituting h in terms of x, we get:

\(V(x) = x^2 ((36 - x^2) / 8x)\)

Simplifying, we get:

\(V(x) = (1/8) x (36x - x^3)\)

To find the dimensions of the box that will have the greatest volume, we need to find the value of x that maximizes V(x). We can do this by taking the derivative of V(x) with respect to x, setting it equal to 0, and solving for x:

\(V'(x) = (1/8) (36 - 3x^2) = 0\)

Solving for x, we get:

x = 2√3

Therefore, the dimensions of the box that will have the greatest volume are:

Length and width of the base: 2√3 feet

Height: \(h = (36 - x^2) / 8x\) = (√3)/2 feet

The volume of the box is:

\(V = x^2h\)= (2√3)^2 ((√3)/2) = 9√3 cubic feet

Note: To confirm that this value represents the maximum volume, we can check that V''(x) < 0, which indicates a maximum point. We have:

\(V''(x) = (1/8) (-6x) = -3x/4\)

At x = 2√3, V''(x) = -3(2√3)/4 = -3√3/2 < 0, so this is indeed a maximum point.

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Answer:

Step-by-step explanation:

Answer:

Erich planted 7 seeds ...

he had to remove 17 plants ....

he expected to have less or equal 46 plants ...

Step-by-step explanation:

Look at keywords like remove ~ => which indicates that something is being subtracted

Since x represents seed packets, and the amount he planted is a number multiplied by x, we can deduce he planted 7 seeds ( 7 * x)

a) the population cannot be negative, the limiting population is 4300.

b)the population is increasing when 0 < p < 4300 and decreases when p > 4300.

c)the equilibrium solutions are p = 0 and p = 4300.

(a) To determine when the population is increasing or decreasing, we need to look at the sign of dp/dt.

\(\frac{dp}{dt} = 1.2p(1 - \frac{p}{4300})\)

For dp/dt to be positive (i.e. population is increasing),

we need\(1 - \frac{p}{4300} > 0, or \ p < 4300.\)

For dp/dt to be negative (i.e. population is decreasing),

we need\(1 - \frac{p}{4300} < 0, or p > 4300.\)

Therefore, the population is increasing when 0 < p < 4300 and decreases when p > 4300.

(b) To find the limiting population, we need to find the value of p as t approaches infinity.

As t approaches infinity,\(\frac{dp}{dt}\)approaches 0. Therefore, we can set \(\frac{dp}{dt}\) = 0 and solve for p.

0 = 1.2p(1 - p/4300)

Simplifying, we get:

0 = p(1 - p/4300)

So, either p = 0 or 1 - p/4300 = 0.

Solving for p, we get:

p = 0 or p = 4300.

Since the population cannot be negative, the limiting population is 4300.

(c) Equilibrium solutions occur when\(dp/dt = 0.\)We already found the equilibrium solutions in part (b): p = 0 and p = 4300.

Therefore, the equilibrium solutions are p = 0 and p = 4300.

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a)  The population is increasing when 0 < p < 4300, and  decreasing when p > 4300.

b)  The population cannot be negative, the limiting population is 4300.

c)  these are the equilibrium solutions.  At p = 0, the population is not

increasing or decreasing, and at p = 4300,  the population is decreasing

but not changing in size.

(a) To determine when the population is increasing or decreasing, we

need to find the sign of dp/dt. We have:

dp/dt = 1.2p(1 - p/4300)

This expression is positive when 1 - p/4300 > 0, i.e., when p < 4300, and

negative when 1 - p/4300 < 0, i.e., when p > 4300.

Therefore, the population is increasing when 0 < p < 4300, and

decreasing when p > 4300.

(b) To find the limiting population, we need to solve for p as t approaches infinity. To do this, we set dp/dt = 0 and solve for p:

1.2p(1 - p/4300) = 0

This equation has two solutions: p = 0 and p = 4300. Since the population cannot be negative, the limiting population is 4300.

(c) To find the equilibrium solutions, we need to solve for p when dp/dt = 0. We already found that the only solutions to dp/dt = 0 are p = 0 and

p = 4300.

Therefore, these are the equilibrium solutions.

At p = 0, the population is not increasing or decreasing, and at p = 4300,

the population is decreasing but not changing in size.

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\( \sqrt{5612} = \frac{5612 + 5625}{2 \sqrt{5625} } = \frac{11237}{2 \times 75} = 74.913333\)