My teachers key says that it us -2. I was never taught how to evaluate limits that go to infinity or negative infinity so I need to be taught how to solve them.

Answer:

Step-by-step explanation:

If the diameter is 4 meters, then the radius has to be 2 because the radius is half of the diameter.

Answer:

E empty set

Step-by-step explanation:

The answer is empty at

The equation for the parabola will be y = 0.765625(x + 5.25)^2 - 69.390625.

Let us commence with the generalized equation for a parabola:

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

where (h,k) is the vertex of the parabola.

We can now set up august system of equations by integrating the two provided points and their corresponding transformed points:

4 = a(-2 - h)^2 + k (1)

-11 = a(-6 - h)^2 + k (2)

1 = a(1 - h)^2 + k (3)

-5 = a(-3 - h)^2 + k (4)

Comprising four knowns (a, h, k), fostering a viable solution to our problem yet available.

-15 = a(-4h - 32)

Dividing both sides by -4 silences the equation to:

3.75 = ah + 8

Continuing, subtracting equation (3) from (4):

-4 = a(-2h - 12)

Divving and relying on -2 debases the outcome to:

2 = ah + 6

At this juncture, we have two equations compounding two unknowns (a and h). Determining the h value in accordance to a within these equations can be done by setting our solutions equal to each other and solving for a, giving you an answer of 0.765625.

Exploiting one of the previous expressions, we next find h=(2-6)/0.765625=-5.25. By means of various designs, any of the four initial equations come into play when searching for k. Rearranging, 4=0.765625(-2-(-5.25))^2+k, leads to k=-69.390625.

Thus, unto completion of a parabolic, these values grace your presence:

a= 0.765625

h= -5.25

k= -69.390625

And so, the alluring equation of such an inscribed parabola casts itself forthheartedly, incarnating as:

y = 0.765625(x + 5.25)^2 - 69.390625

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Answer:

there are ten hundreds in one thousand

Answer:

0.0001

Step-by-step explanation:

The computation of the probability of experiencing such a drop in water pressure is shown below:

Given that

mean = 519,645 gallons

Standard deviation = 71,564 gallons

Now the probability is

= 1 - p (x - mean ÷ standard deviation <  782,238 - 519,645 ÷ 71,564)

= 1 - p(z<3.67)

= 1 - 0.9999

= 0.0001

Answer:

the answer is c

Step-by-step explanation:

Step-by-step explanation:

you understand how a function works ? you provide an input value, the argument to the function, and by following the calculation rules of the functional expression you get a result value.

here, the functional expression is very simple : multiply the input value by 2.95. that's it.

you can't think of 4 input values (= how many gallons of gas you are buying) ? and then do that simple multiplication with them ?

really ?

let's start with the simplest of all choices.

I buy 0 gallons.

c = 2.95×0 = 0

ha ! who would have thought ? buying no gas costs no dollars ...

so, or first ordered pair is (0, $0).

then 1 gallon

c = 2.95×1 = 2.95

ordered pair (1, $2.95)

then e.g. 10 gallons

c = 2.95×10 = 29.50

ordered pair (10, $29.50)

then e.g. 100 gallons

c = 2.95×100 = 295

ordered pair (100, $295)

Answer:

The answer is D. Natural

Step-by-step explanation:

A subset, mathematically, means a category within another set. This can be shown from the picture below.

As you can see, the subset of whole numbers is, in fact, natural numbers.

The price of each advanced tickets sold  is; $35

The price of each same day tickets sold is; $25

Let x be the cost of each advanced tickets sold

Let y be the cost of each same day tickets sold

We are told that for one performance, 25 advance tickets and 20 same-day tickets were sold. Thus;

x + y = 60  ------(1)

The total amount paid for the tickets was $1325 and as such, we have;

20x + 25y = 1325   ------(2)

Make x the subject in eq 1 to get;

x = 60 - y

Put (45 - y) for x in eq 2 to get;

20(60 - y) + 25y = 1325

1200 - 20y + 25y = 1325

5y = 125

y = 125/5

y = $25

Thus;

x = 60 - 25

x = $35

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Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

A mathematically indication example would be to solve the equation 3x + 2 = 14 for the value of x. The solution would be 4.

Looking for a mathematically indication example, we can consider a simple mathematical equation with one variable and solve it.

The equation would be 3 x + 2 = 14.

So we can solve for the equation to be :

3x + 2 - 2 = 14 - 2

3x = 12

3 x / 3 = 12 / 3

x = 4

In conclusion, the mathematically indication example would be 3x + 2 = 14 and the value of x would be 4.

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The probability of 3 or more deaf people in a sample of 100 is given as follows:

0.3633 = 36.33%.

The mass probability formula, giving the probability of x successes, is of:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are given by:

The values of the parameters for this problem are given as follows:

p = 0.02, n = 100.

The probability of 3 or more deaf people are given as follows:

P(X >= 3) = 1 - P(X < 3).

In which:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2).

Hence:

Thus:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

P(X < 3) = 0.1326 + 0.2707 + 0.2334

P(X < 3) = 0.6367.

P(X >= 3) = 1 - P(X < 3).

P(X >= 3) = 1 - 0.6367.

P(X >= 3) = 0.3633.

We suppose that 2% of the population is deaf, and want to find the probability of 3 or more deaf people in a sample of 100.

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Answer:

first step is to minus 28.7 - 6.7=22 (I did the minus because I want to get the remaining length of the rope )

step 2 : is to divide 22 by 2 (because the question said they should divide it into two pieces )

then the answer you get from the division of 22/2 which is 11 that would be the final answer

meaning each tire swing is 11m

Answer:

x = 13

Step-by-step explanation:

If they are parallel, that means that the angles shown are congruent.

If they are congruent, you can find the unit rate of x.

7x-1

is equal to

8x-14

7x - 1 = 8x - 14

Isolate x

-1 = 8x - 7x - 14

-1 + 14 = 8x - 7x

Simplify

13 = 1x

x = 13

Answer:

I think that the answer may be volume = 169.65

Step-by-step explanation:

The volume of cylinder whose radius 3m and height 6m is 169.56 cm³ ≈ 170 cm³

The volume of a cylinder is the density of the cylinder which signifies the amount of material it can carry or how much amount of any material can be immersed in it. Cylinder’s volume is given by the formula, π\(r^2h\), where r is the radius of the circular base and h is the height of the cylinder.

Here, Radius of Cylinder = 3 m.

         Height of Cylinder = 6 m.

Volume of Cylinder = πr²h

                                 = 3.14 X 3 X 3 X 6

                                 = 169.56 cm³

                                 ≈ 170 cm³

Thus, the volume of cylinder whose radius 3m and height 6m is 169.56 cm³ ≈ 170 cm³.

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Answer:

108

Step-by-step explanation:

So the slope of the tangent line to the graph of y=4x² is:

\(\lim_{x \to 3} \frac{4x^3-108}{x-3}\)

As directed, try values near 3 to estimate the slope. So, using a calculator, I'm going to try 2.9, 2.99, and 2.999:

2.9:

\(\frac{4(2.9)^3-108}{(2.9)-3}\approx104.44\)

2.99:

\(\frac{4(2.99)^3-108}{(2.99)-3}\approx107.6404\)

2.999:

\(\frac{4(2.999)^3-108}{(2.999)-3}\approx107.96\)

And let's also try 2.9999 and 2.99999. So:

\(\frac{4(2.9999)^3-108}{(2.9999)-3}\approx107.9964\)

And:

\(\frac{4(2.9999)^3-108}{(2.9999)-3}\approx107.99964\)

Let's also check by coming from the right with 3.001:

\(\frac{4(3.001)^3-108}{(3.001)-3}\approx108.036\)

Therefore, our limit or slope is:

\(\lim_{x \to 3} \frac{4x^3-108}{x-3}\approx108\)

And we're done!

The answer is 108

Answer:

Step-by-step explanation:

7w + 72 + 24w

31w + 72

We have the following:

The intersection with the x-axis is when the value of y is 0, that is, the computer already has a value of 0 and has no commercial value.

we found it like this

which means that in 10 years, the computer does not represent a commercial value

to calculate the number of years that have passed when the computer has a value of 2000, y = 2000, therefore we replace

This means that in a total of 5 years the value of the computer will be $ 2000

Answer: The profit function P(x) can be found by subtracting the cost function C(x) from the revenue function R(x), so:

P(x) = R(x) - C(x) = (-0.5(x-80)^2 + 3,200) - (30x + 200)

The domain of P(x) is the set of all possible values of x for which the profit calculation makes sense. In this case, the company has a maximum capacity of 130 items, so the domain of P(x) is 0 <= x <= 130.

To calculate the profit when producing 50 items and 60 items, we simply plug in these values for x in the profit function:

Profit when producing 50 items = P(50) = (-0.5(50-80)^2 + 3,200) - (30 * 50 + 200) = $2350

Profit when producing 60 items = P(60) = (-0.5(60-80)^2 + 3,200) - (30 * 60 + 200) = $2280

Since the profit is higher for producing 50 items, the company should choose to produce 50 items.

From our model, we can see that as the production increases, the cost also increases linearly with a slope of 30, while the revenue increases parabolically but with a negative slope, meaning that after reaching a certain point, the increase in revenue becomes slower compared to the increase in cost. This is why the profit decreases as the production increases, and therefore the company makes less profit when producing 10 more units.

Step-by-step explanation:

The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively

Given the function :

Substitute the given value of x to obtain the corresponding f(x) values :

x = -0.6

f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358

x = -0.51

f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350

x = -0.501

f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967

x = -0.5

f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959

x = -0.4999

f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958

x = 0.499

f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951

x = -0.49

f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188

x = -0.4

f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125

Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013

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Answer:

1

Step-by-step explanation:

7+(-6)

7 - 6

= 1

Answer:

Step-by-step explanation:

the recipe called for 3 cups of flour and 4 cups of sugar. That means there is 3/4 cups of flour for each cup of sugar.

She drove 60 miles in 3hrs. This means she drove 60/3 = 20 miles per hr.

hope this helps?

Step-by-step explanation:

The transformation y = sin(2x) affects the graph of y = sin(x) by compressing it horizontally.

The function y = sin(2x) has a coefficient of 2 in front of the x variable. This means that for every x value in the original function, the transformed function will have half the x value.

To see the effect of this transformation, let's compare the graphs of y = sin(x) and y = sin(2x) by plotting some points:

For y = sin(x):

x = 0, y = 0

x = π/2, y = 1

x = π, y = 0

x = 3π/2, y = -1

x = 2π, y = 0

For y = sin(2x):

x = 0, y = 0

x = π/2, y = 0

x = π, y = 0

x = 3π/2, y = 0

x = 2π, y = 0

As you can see, the y-values of the transformed function remain the same as the original function at every x-value, while the x-values of the transformed function are compressed by a factor of 2. This means that the graph of y = sin(2x) appears narrower or more "squeezed" horizontally compared to y = sin(x).

Therefore, the correct statement is: It is compressed horizontally.

Answer:

The p-value of the test is 0.0066 < 0.05, which means that there is sufficient evidence at the 0.05 significance level to conclude that the mean salary differs from $39,385

Step-by-step explanation:

The average salary for public school teachers for a specific year was reported to be $39,385. Test if the mean salary differs from $39,385

At the null hypothesis, we test if the mean is of $39,385, that is:

\(H_0: \mu = 39385\)

At the alternative hypothesis, we test if the mean differs from this, that is:

\(H_1: \mu \neq 39385\)

The test statistic is:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.

39385 is tested at the null hypothesis:

This means that \(\mu = 39385\)

A random sample of 50 public school teachers in a particular state had a mean of $41,680, and the population standard deviation is $5975.

This means that \(n = 50, X = 41680, \sigma = 5975\)

Value of the test statistic:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{41680 - 39385}{\frac{5975}{\sqrt{50}}}\)

\(z = 2.72\)

P-value of the test and decision:

The p-value of the test is the probability that the sample mean differs from 39385 by at least 2295, which is P(|Z| > 2.72), which is 2 multiplied by the p-value of Z = -2.72.

Looking at the z-table, Z = -2.72 has a p-value of 0.0033

2*0.0033 = 0.0066

The p-value of the test is 0.0066 < 0.05, which means that there is sufficient evidence at the 0.05 significance level to conclude that the mean salary differs from $39,385

Answer:

x + 80 =180 (Being sum of 180 degree)

or,x=180 -80

= 100

The values of x and y are given as follows:

The geometric mean theorem states that the length of the altitude drawn from the right angle of a triangle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.

The bases for this problem are given as follows:

2 and x.

The altitude is given as follows:

6.

Hence the length x is given as follows:

2x = 6²

2x = 36

x = 18.

Applying the Pythagorean Theorem, the length y is given as follows:

y² = 18² + 6²

y² = 360

\(y = \sqrt{36 \times 10}\)

\(y = 6\sqrt{10}\)

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Answer: 2,200

Step-by-step explanation:

Answer: 2200

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

Answer:

Theres 2 circles for every square (im not sure)