please answer this TSA of prism and also Volume of it​

3\(x^4\) + 1 is equivalent to \(x^{(4/2)}\) in terms of asymptotic growth rate. The value of 3\(x^4\) + 1 is O(\(x^{(4/2)}\)) and \(x^{(4/2)}\) is O(3\(x^4\) + 1).

To show that 3\(x^4\) + 1 is O(\(x^{(4/2)}\)), we need to find a constant C and a value of x such that:

|3\(x^4\) + 1| <= C|\(x^{(4/2)}\)|

For x >= 1, we can say that:

3\(x^4\) + 1 <= 4\(x^4\)

Taking the square root of both sides, we get:

sqrt(3\(x^4\) + 1) <= 2x²

Thus, we can choose C = 2 and x0 = 1, and we have:

|3\(x^4\) + 1| <= 2|\(x^{(4/2)}\)| for all x >= 1

Therefore, 3\(x^4\) + 1 is O(\(x^{(4/2)}\)).

To show that \(x^{(4/2)}\) is O(3\(x^4\) + 1), we need to find a constant C and a value of x such that:

|\(x^{(4/2)}\)| <= C|3\(x^4\) + 1|

For x >= 1, we can say that:

\(x^{(4/2)}\) <= x²

Thus, we can choose C = 1 and x0 = 1, and we have:

|\(x^{(4/2)}\)| <= |3\(x^4\) + 1| for all x >= 1

Therefore, \(x^{(4/2)}\) is O(3\(x^4\) + 1).

Since both 3\(x^4\) + 1 is O(\(x^{(4/2)}\)) and \(x^{(4/2)}\) is O(3\(x^4\) + 1).

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Answer:

-32

Step-by-step explanation:

((−4)(4))(2)

=−32

Answer:

-32

Step-by-step explanation:

hope this helps you out

There would be 63,273,600 and 43,524,000 license plates, if repetition is allowed, and not, respectively that can be made using either three uppercase English letters followed by three digits or four uppercase English letters followed by two digits.

Based on the given information, a license plate may either be:

1. three uppercase English letters followed by three digits

26 ways to fill in the first, second, and third letter and

10 ways to fill in the first, second, and third digit

2. four uppercase English letters followed by two digits

26 ways to fill in the first, second, third, and fourth letter and

10 ways to fill in the first and second digit

Thus, by Fundamental Principle of Counting, there are 63,273,600 possible license plates, if repetition is allowed, and 43,524,000 possible license plates, if repetition is not allowed.

(with repetition)

1.  26 x 26 x 26 x 10 x 10 x 10 = 17,576,000

2. 26 x 26 x 26 x 26 x 10 x 10 = 45,697,600

17,576,000 + 45,697,600 = 63,273,600

(without repetition)

1.  26 x 25 x 24 x 10 x 9 x 8 = 11,232,000

2. 26 x 25 x 24 x 23 x 10 x 9 = 32,292,000

11,232,000 + 32,292,000 = 43,524,000

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Hi there!

We are given two exterior angles. Don't panic! We know that exterior angles form a linear pair, which means they add up to 180 degrees.

180-130=50

180-96=84

Now that we have those angles, how can we work out the value of x?

Turns out that all the angles in any triangle add up to 180 degrees.

So

180-84-50=46 degrees.

So the value of x is 46 degrees.

Now let's work out the value of x in the next problem.

180-126=54

180-54-43=83 degrees

So the value of x in this problem is 83 degrees.

Let's move on to the third problem.

At first, it seems like we do not have enough information.

If we know that the right angle is 90 degrees (it is shown by a little square), then we have enough information.

180-90-43=47 degrees

So the value of x is 47 degrees.

Hope this helps you!

~Just an emotional teen who listens to her favorite song "Try Everything"

\(SilentNature\)

The equation of the line tangent to the curve y = 2x² - 4x + 2 at the point (3, 8). y=8x−16.

To find the equation of the line tangent to the curve

−4x+2 at the point (3, 8), we need to determine the slope of the tangent line at that point and then use the point-slope form of a linear equation.

Find the derivative of the given function

Taking the derivative, we have:

Substitute the x-coordinate of the given point (3, 8) into the derivative to find the slope of the tangent line.

Evaluating the derivative at

x=3, we get:

(3)=4(3)−4=8

Use the point-slope form of a linear equation with the given point (3, 8) and slope

m=8 to write the equation of the tangent line.

The point-slope form is given by:

m=8, we have:

y−8=8(x−3)

Simplify the equation to obtain the final equation of the tangent line.

Expanding and rearranging the equation, we get:

y−8=8x−24

y=8x−16

Therefore, the equation of the line tangent to the curve

2

−4x+2 at the point (3, 8) is

y=8x−16.

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Therefore, the compass heading of the plane is 200 degrees.

To determine the compass heading, we need to consider the reference direction of north as 0 degrees on the compass.

Since the plane is traveling 20 degrees east of south, we can calculate the compass heading as follows:

Compass heading = 180 degrees (south) + 20 degrees (east)

= 200 degrees

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The lamp is 2.80 feet and 3.00 inches tall. To determine the total height of the lamp in feet, we need to convert the inches to feet and add it to the given measurement in feet.

Given that the lamp is 2.80 feet and 3.00 inches tall, we need to convert the inches to feet and then add it to the given measurement in feet.

To convert inches to feet, we divide the number of inches by 12 since there are 12 inches in a foot. In this case, we have 3.00 inches, so dividing it by 12 gives us 0.25 feet.

Now, let's add this converted value to the given measurement in feet. The lamp's height is 2.80 feet. Adding 0.25 feet to 2.80 feet gives us the total height of the lamp.

2.80 feet + 0.25 feet = 3.05 feet

Therefore, the lamp is 3.05 feet tall.

In the imperial system, measurements are typically expressed using both feet and inches. The given height of 2.80 feet indicates that the lamp is 2 feet and 0.80 feet. Adding the additional 3.00 inches, which is equivalent to 0.25 feet, brings the total height to 2 feet and 0.80 feet + 0.25 feet = 3.05 feet.

To summarize, the lamp is 2.80 feet tall, and after converting the additional 3.00 inches to 0.25 feet and adding it, the total height is 3.05 feet.

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Answer:

930 is equivalent to 310 because 9 x 10 = 30 x 3 = 90. 1240 is equivalent to 310 because 12 x 10 = 40 x 3 = 120.

Answer:

I DONT KNOW IM VERY SORRY PLEASE GIVE ME 5 STARS I WOULD REALLY APPRECIATE IT...

Step-by-step explanation:

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Answer:

w =12

Step-by-step explanation:

He has 12 dollars

He saves 3 dollars a week

12  + 3 w  where w is the number of weeks

He needs 48

12 + 3w = 48

Subtract 12 from each side

12+3w -12 = 48-12

3w = 36

Divide by 3

3w/3 = 36/3

w = 12

Answer:

12

Step-by-step explanation:

48 - 12 equal 36 and divide that by 3 to show how many weeks johhny took

Answer:

The answer is 1

Step-by-step explanation:

Answer:    D the function is nonlinear

Step-by-step explanation:I took the test

Answer: D.

Step-by-step explanation: The function is nonlinear

I took the quiz

This graph does not show a proportional relationship because the line is not straight and does not go through the origin.

Answer:

This graph does not show a proportional relationship because the line is not straight and does not go through the origin

Step-by-step explanation:

There are 720 different ways can a race with 6 runners be completed.

What is a combination?

The process of combining or the condition of combining. a combination of things; an amalgamation of concepts. a grouping of notes: A chord is a grouping of notes. a grouping of people or entities acting together to impede commerce.

Here, we have

The winner can be chosen from all 6 runners, the second person can be chosen from 5 people, the third - from 4, and so on.

So the total number of possible results can be calculated as:

n = 6×5×4×3×2×1= 6!

= 720

Hence, there are 720 different ways can a race with 6 runners be completed.

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The equation of line that has a slope of 2 and passes through the point (-3,4) will be;

⇒ y = 2x + 10

Option B is true.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line = (-3, 4)

Slope of the line = 2

Since, The equation of line that has a slope of 2 and passes through the point (-3,4) will be;

⇒ y - y₁ = m (x - x₁)

⇒ y - 4 = 2 (x - (-3))

⇒ y - 4 = 2 (x + 3)

⇒ y - 4 = 2x + 6

Add 4 both side;

⇒ y - 4 + 4 = 2x + 6 + 4

⇒ y = 2x + 10

Thus, The equation of line that has a slope of 2 and passes through the point (-3,4) will be;

⇒ y = 2x + 10

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Answer:

Below in bold.

Step-by-step explanation:

Vertex form.

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

The point (h, k) is the vertex so from the graph:

y = a(x - 1)^2 - 8

From the x -interesect we see that x = 6 when y = 0 so

0 = a(6 - 1)^2 - 8

25a - 8 = 0

a = 8/25

So the vertex form is

y = (8/25)(x - 1)^2 - 8.

Factored form:

y = (8/25)(x + 4)(x - 6)  

- as -4 and 6 are the zeros of the equation.

Standard form:

From the factored form we have

y = (8/25)(x^2 - 2x - 24)

y = 8/25 x^2 - 16/25 x - 192/25

or (in decimal form):

y = 0.32x^2 - 0.64x - 7.68.

A manufacturer of compact fluorescent light bulbs advertises have a standard deviation of 1,000 hours so the values are:

A normal distribution with,

μ = 9000

σ = 1000

a) The standardized score is the value x decreased by the mean and then divided by the standard deviation.

x = 105000 - 9000 / 1000 ≈ 1.50

Determine the corresponding probability using the normal probability table in appendix,

P(X>10500) = P(Z>1.50) = 1 - P(Z<1.50)

= 1 - 0.9332 = 0.0668.

b) n = 15

The sampling distribution of the mean weight is approximately normal, because the population distribution is approximately normal.

The sampling distribution of the sample mean has mean μ and standard deviation σ/√n

μ = 1000/√15 = 258.19

c) The sampling distribution of the sample mean has mean μ and standard deviation σ/√n

The z-value is the sample mean decreased by the population mean, divided by the standard deviation:

z = x-u/σ/√n = 10500-9000/1000√15 = 5.81

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The given expressions, when A=1, B=0, and C=1, X evaluates to 1.001; when A=B=C=1, X evaluates to 1.111; and when A=B=C=0, X evaluates to 0.000. These evaluations are based on the given values of A, B, and C, and the notation ¯¯¯¯¯¯BC represents the complement of BC.

To evaluate the expression X = A.¯¯¯¯¯¯BC, we substitute the given values of A, B, and C into the expression.

(a) For A = 1, B = 0, and C = 1:

X = 1.¯¯¯¯¯¯01

To find the complement of BC, we replace B = 0 and C = 1 with their complements:

X = 1.¯¯¯¯¯¯01 = 1.¯¯¯¯¯¯00 = 1.001

(b) For A = B = C = 1:

X = 1.¯¯¯¯¯¯11

Similarly, we find the complement of BC by replacing B = 1 and C = 1 with their complements:

X = 1.¯¯¯¯¯¯11 = 1.¯¯¯¯¯¯00 = 1.111

(c) For A = B = C = 0:

X = 0.¯¯¯¯¯¯00

Again, we find the complement of BC by replacing B = 0 and C = 0 with their complements:

X = 0.¯¯¯¯¯¯00 = 0.¯¯¯¯¯¯11 = 0.000

In conclusion, when A = 1, B = 0, and C = 1, X evaluates to 1.001. When A = B = C = 1, X evaluates to 1.111. And when A = B = C = 0, X evaluates to 0.000. The evaluation of X is based on substituting the given values into the expression A.¯¯¯¯¯¯BC and finding the complement of BC in each case.

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The real distance between the ship and the base is 35 km and the measure of the bearing of B from S would be; 70 degrees.

Scale factor is the factor which is used to enlarge or smaller the original figure. Scale factor is the ratio of representation measurement of the figure to the original figures.

The figure represent the position of the ship(S) and the marine base(B).

a) Real distance between the ship and the base is;

When the distance from ship and the base is measured by rules. It comes out 3.5 cm.

The scale of the diagram is 1 cm, represents 10 km. Thus,

BS = 10/ 1 x 3.5

BS = 35 km

b) Measure the bearing of B from S

With the help of compass, the bearing angle of B from S is measured as the given;

Angle BSN = 70 degree

Thus, the real distance between the ship and the base is 35 km and the measure of the bearing of B from S would be; 70 degrees.

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Answer:

A)1050

B)8050

Step-by-step explanation:

to find interest we use the formula A= P(1+rt) where P is the initial investment, r is the rate percent, and t is the time interval

for this question we have A=7000(1+3(5)) which gives 8,050 dollars which is the answer to part B

for part A we simply subtract the answer from B from the initial investment so 8050 - 7000 = 1050 made from interest

Answer:

31.5576

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

cuz

Answer:

ASA, ASA, SAS, SSS

Step-by-step explanation:

i think this is it

Answer:

AsA

Step-by-step explanation:

1) In this question, we need to remember that in any boxplot the line in the middle of the box indicates the median.

Based on that, we can tell the Median is 140

2) In the Interquartile Range, we need to find the range between the lower quartile and the upper one, based on that boxplot. We can tell the IQR is:

Note that the boundaries of the box show us the lower and the upper quartile:

Answer:

30, C

Step-by-step explanation:

√36 = 6

√25 = 5

6 * 5 = 30

Answer:

BD = 14units

Step-by-step explanation:

To get the distance of the line connecting the two points, we will use the formula for calculating the distance between two points

D = √(x2-x1)²-(y2-y1)²

D = √(10-(-4))²-(4-4)²

D = √(10+4)²

D = √(14)²

D = 14unit

Hence the distance between the two points is 14units

The volume of the reduced container will be 4m^3.

The scale factor of 1/2 means that each dimension of the container will be reduced by half.

Therefore, the new volume will be 1/2 x 1/2 x 1/2 = 1/8 of the original volume.

To calculate the new volume, we simply multiply the original volume by the scale factor cubed:
32m^3 x (1/2)^3 = 32m^3 x 1/8 = 4m^3

So, the volume of the reduced container will be 4m^3.
In summary, the volume of the reduced container will be 4m^3.

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Answer:

Question 13: is Side-Side-Angel

Question 14:  laws sines.

Question 15: is 1 (which b.)

there my brother tried his best, have a great day TwT