Question 5 of 25
Which of these figures has rotational symmetry?
O. A
O. B
O. C
O. D

Answer:

y-intercept : 3

x-intercepts are 1 and 2

Vertex is at (2,-1)

Axis of symmetry is at x = 2

Step-by-step explanation:

See attached graph.

The equation y = x² – 4x + 3 represents a parabola

y-intercept at is at B(0,3); y-intercept is 3

x-intercept points at C(1,0) and D(3,0) so x-intercepts are 1 and 3

The vertex is the lowest point on this parabola (2-1)

Axis of symmetry is a line passing through the vertex and dividing the parabola into two equal halves. This is the vertical line x = 2

The equation that can be used to determine the radius of the can isr = √(v/πh)

For example, Y is the subject of the following equations. Y = x + 1, Y = 4 + 2x, Y = 2(2x – 3). In the relation v=u + at, v is said to be the subject. When a formula is rearranged so that a different letter becomes the subject, this process is referred to as changing the subject of the relation.

Similar making r the subject in V= π r^2 h

divide both sides by πh

V/πh = r²

r² = V/πh

r = √(V/πh)

therefore the radius of the can be obtained from

r = √(V/πh)

learn more about change of subject from

https://brainly.com/question/28640952

#SPJ1

There are 30 films entered in a movie festival, and a team of judges must pick the first, second, and third place winners. The number of possibilities for the winners is the subject of this question.

The number of ways to choose the first place winner is 30. After that, there are 29 films remaining to choose the second place winner, and 28 films left to choose the third place winner. However, the order in which the second and third place winners are chosen does not matter, since the two winners will still have the same ranks. Therefore, the number of ways to choose the second and third place winners is the number of ways to choose two out of the remaining 28 films, which is 28 choose 2 or (2827)/(21) = 378.

To find the total number of possibilities, we multiply the number of ways to choose the winners for each place: 303781 = 11,340. Therefore, there are 11,340 ways to choose the first, second, and third place winners from 30 films entered in the movie festival.

Learn more about possibilities here:

https://brainly.com/question/28265329

#SPJ11

The given statement would be False.

What is Mean and Median ?

Mean: A data set's mean (average) is calculated by summing all of the numbers in the set and then dividing by the number of values in the set. Median: When a data collection is ordered from least to largest, the median is the midway value.

If there are a few very small values in a data set compared to the rest of the data, the median will be larger than the mean.

The median is the middle value in a set of data and is not affected by extreme values, while the mean is the average of all values in the data set and is influenced by extreme values.

Therefore, The given statement would be False.

To know more about Mean and Median visit,

https://brainly.com/question/14532771

#SPJ4

Answer:

B

Step-by-step explanation:

-34x-(-3)=6

-34x+3=6

-34x+3-3=6-3

-34x/-34=3/-34

x=3

Answer:

153

Step-by-step explanation:

$255 multiplied by 40% gives the product. You then subtract 102 from 255, giving you the final answer.

L((7,8)) = (-9,23).  To find the value of L((7,8)), we can use the linearity property of the linear operator L.

Since L is a linear operator, we can express any vector in R² as a linear combination of the basis vectors (1,0) and (0,1).

We have L((1,2)) = (-2,3) and L((1,-1)) = (5,2). Therefore, we can express (7,8) as (7,8) = 7(1,2) + 1(1,-1).

Using the linearity property, we can distribute the linear operator L over the linear combination:

L((7,8)) = L(7(1,2) + 1(1,-1))

= 7L((1,2)) + L((1,-1))

= 7(-2,3) + (5,2)

= (-14,21) + (5,2)

= (-9,23)

Know more about linearity property here:

https://brainly.com/question/28709894

#SPJ11

The null hypothesis for the data will be 21.62 and the alternate hypothesis is 2.02 for the p-value for the data is 0.2253 .

The charge at which anything happens is referred to as the velocity at which it happens.

The required details for mean rate :

(a) H0: µ = 21.62

Ha: µ ≠ 21.62

(b) t = -1.231

p-value = 0.2253

(c) Stop rejecting H0 right now. No longer significantly different from the domestic water tariff in Tulsa, the suggested household water charge per five CCF for the entire USA.

(d) H0: µ = 21.62

Ha: µ ≠ 21.62

t = -1.231

check statistic ≥ 2.020

Don't dismiss H0 any longer. The suggested five CCF residential water charge for the entirety of the USA is no longer significantly different from the five CCF residential water tariff in Tulsa.

The P-value is higher at 0.05, the level of significance. The impact in this instance is negligible. The attempt to reject the null hypothesis failed.

The conclusion is that there is insufficient statistical support to determine whether other American cities have a different mortality rate than Tulsa.

The crucial values for t at this level of significance are t=2.019.

Given that the statistic t = -1.15 is inside the acceptance range in this case, the null hypothesis is not disproved.

to learn more about null hypothesis visit:

https://brainly.com/question/16261813

#SPJ4

The intersection of this sphere with the -plane is (y+6)²+(z-4)²=21

The equation of a sphere centered at (h,k,l) and radius r is given by:

(x−h)²+(y−k)²+(z−l)²=r²

where x,y, and z represent the coordinates of the points on the surface of the surface.

so if the center is (-3,2,5) and radius r=4 then we can plug the values in the above formula:

consider the points  h=-3 k=2 l=5 and r=4.

(x−(-3))²+(y−2)²+(z−5)²=4²

(x+3)²+(y−2)²+(z−5)²=16.

If the sphere intersects the yz-plane then x=0

The resulting equation is an equation of a circle with a radius r=√21

and at the center with (6,-4) on the yz-plane

with yx-plane:

⇒(x−2)²+(y+6)²+(z−4)²=25

⇒ (0−2)²+(y+6)²+(z−4)²=25

⇒4+(y+6)²+(z−4)²=25

⇒(y+6)²+(z−4)²=25-4

⇒(y+6)²+(z−4)²=21

To know more about the intersection of the sphere:

https://brainly.com/question/4536228

#SPJ4

Answer:

A. 74

Step-by-step explanation:

777/3 = 259

2/7 of 259 is 2/7 times 259 and that is 74

74 people are going to an art or design institute

Answer:

157°

Step-by-step explanation:

We can see that the angle here is an alternate angle, this means it is an opposite angle that has the same value as each other.

Knowing this, we can see that if the angles are alternated the missing angle should be 157 as well.

Hope this helps have a lovely day! :)

Answer:

.........it equals 60.52200

Answer:

None.

Step-by-step explanation:

Where are the graphs? We need the extra information to complete this problem.

Answer:

x = -2.5 or -5/2

Step-by-step explanation:

Answer:

Kind Note:

This question is incomplete. You need to provide the question in order to get the best answer on brainly. In this answer, I will tell you how many solutions are in this system of equations.

Step-by-step explanation:

This question involves the use of 'system of equations'.

             3x - 2y = 44

Since the y-intercept is valid, the system of equations has one solution.

Hence, this system of equations has one solution.

Hoped this helped!

Let's solve graphically.

Graph attached

Answer:

18.87 square cm.

Step-by-step explanation:

The area of the rectangle will be (4 + 4) * 4, since the length of the rectangle would be the diameter of the circle, and the width of the rectangle would be the radius. (4 + 4) * 4 = 8 * 4 = 32 square cm.

Then, we can calculate the area of the semicircle. The area of a circle is pi * r^2, so the area of a semicircle will be half of that. pi * (4^2) / 2 = pi * 16 / 2 = 8pi. 8 * 3.14159265 = 25.1327412 square cm.

The shaded area of the middle of the shape will then be 32 - 25.1327412 = 6.8672588 square cm.

The two triangles will have the same area. Their bases will be 14 minus the diameter of the circle, then divide that by 2 to get each separate base. 14 - 8 = 6 / 2 = 3. The heights of the triangles will be the radius of the circle, or 4 cm.

1/2 * 3 * 4 = 1/2 * 12 = 12/2 = 6. That is the area of one triangle, so the area of both triangles would be 6 * 2 = 12 square cm.

6.8672588 + 12 = 18.8672588, or 18.87 square cm.

Hope this helps!

Answer:

(44 - 8(pi)) cm^2    Exact area

18,9 cm^2    Approximate area

Step-by-step explanation:

The shaded area is the area of the trapezoid minus the area of the semicircle.

area of trapezoid = (b1 + b2)h/2

area of semicircle = (pi)(r^2)/2

The triangles at both sides are right triangles. Each of the horizontal legs has length (14 cm - 8 cm)/2 = 3 cm. Each of the vertical legs is congruent to the radius of the semicircle.

b1 = lower base = 14 cm

b2 = upper base = 14 cm - 3 cm - 3 cm = 8 cm

shaded area = (b1 + b2)h/2 - (pi)(r^2)/2

= (14 cm + 8 cm)(4 cm)/2 - (pi)(4 cm)^2 / 2

= 44 cm^2 - 8(pi) cm^2

= (44 - 8(pi)) cm^2    Exact area

= 18.9 cm^2    Approximate area

As per the Empirical Rule and the properties of a Normal distribution , 99.7% of the data lies within three standard deviation not 100%.

What is Empirical Rule?

According to the empirical rule, also known as the three-sigma rule or 68-95-99.7 rule, practically all observed data for a normal distribution will lie within three standard deviations of the mean or average.

In specifically, the empirical rule predicts that 68 percent of observations will fall within the first standard deviation, 95 percent will fall within the first two standard deviations, and 99.7 percent will fall within the first three standard deviations.

Hence, as per the Empirical Rule and the properties of a Normal distribution , 99.7% of the data lies within three standard deviation not 100%.

Learn more about Empirical Rule from the given link

https://brainly.com/question/28873888

#SPJ1

Step-by-step explanation:

REM PROGRAM TO DISPLAY SQUARE ROOT OF INPUT NUMBERS

CLS

INPUT “ENTER ANY NUMBER”; N

INPUT "ENTER ANOTHER NUMBER "; K

S = N ^ (1 / 2)

P = N ^ (1 / 2)

PRINT “SQUARE ROOT OF NUMBER ”; S,P

END

Answer:

The answer would be 8.

Step-by-step explanation:

Meiosis is comparable to flipping thousands of coins and acquiring one gene for each head or tail result (one allele).

Sexual reproduction involves a significant amount of chance in how genes are passed down. Meiosis is the process through which homologous chromosomes split and go to distinct poles. Each gene in the haploid daughter cells has one allele, but the specific allele that each cell possesses is random. Meiosis can be compared to flipping thousands of coins and getting either a head or a tail (one allele) for each one. Each parent at a single locus has a 50% chance of passing either a head or a tail. Every allele in a population should be transmitted proportionally to its frequency.

In other words, if 10% of a population's alleles are allele A, then 10% of the gametes should also have allele A. Results, particularly for small sample sizes, don't always follow probability, though. The outcome of one coin flip does not affect the outcome of the following coin flip. It is not improbable that a coin will come up heads or tails after being flipped twice. It is extremely unlikely that 10 coin flips will produce 10 heads or 10 tails.

And since it is highly unlikely that all 100 flips of the coin will result in heads (or tails), it can be viewed as impossible. In a small population, random chance can also quickly and significantly alter the frequency of alleles. Genetic drift only has a very little impact on a generation at a time in a huge population. To check your understanding of the idea, watch the animation below and then answer the questions.

The complete question is:

Why is genetic drift a more powerful force in small populations?

To learn more about genetic drift refer to;

https://brainly.com/question/1027688

#SPJ1

g(x) = x - 3

f(x) = 2x³

to find g(4), replace x = 4 in g(x) formula, as follows:

g(4) = 4 - 3 = 1

(f+g)(x) = f(x) + g(x) = 2x³ + x - 3

f(0)+g(2) = 2(0)³ + (2) - 3 = 2 - 3 = -1

f(3)+g(0) = 2(3)³ + (0) - 2 = 2(27) - 2 = 54 - 2 = 52

f(-1) -f(1)+g(2) = 2(-1)³ - 2(1)³ + 2 - 3 = 2(-1) - 2(1) + 2 - 3 = -2 - 2 + 2 - 3 = -5

The correct answer is it will stretch far 59.3 lakh miles .

Given that,

If a billion 10-dollar bills were placed side by side, the total value would be $1.

To find :What amount of dollars would you use? How far would the trail stretch?

A dollar bill is 2.61 inches wide.

The dimensions of a billion dollar bill are 2.61 x 1,000,000,000 inches.

Divide this by 12 to convert to feet: 2.61 x 1,000,000,000 / 12.

Divide that by 5280 to convert it to miles: 2.61 x 1,000,000,000 x 12 /5280.

(Instead of 2.61 inches, use 6.14 inches if you meant to say it from end to end, the long way.)

To learn more about dimensions click here :

brainly.com/question/28688567

#SPJ4

Answer:

f= −5

Step-by-step explanation:

i. The wind power is calculated to be approximately 10.44 MW.

ii. The mechanical power that could be achieved by the wind turbine rotor is approximately 9.58 MW.

iii. The electrical power output of the wind turbine is approximately 8.77 MW.

To determine the wind power, we need to use the formula: P_wind = 0.5 * ρ * A * V^3, where ρ is the air density, A is the swept area of the turbine rotor, and V is the wind speed. Given the air flow rate and speed, we can calculate the wind power to be approximately 10.44 MW. The mechanical power that could be achieved by the wind turbine rotor is calculated by multiplying the wind power by the power coefficient, which is the maximum possible efficiency of the wind turbine according to the Lanchester-Betz limit. In this case, the mechanical power is approximately 9.58 MW. Finally, the electrical power output of the wind turbine is determined by considering the efficiencies of the gear, generator, and electric system. By multiplying the mechanical power by the product of these efficiencies, we can find the electrical power output, which is approximately 8.77 MW. Overall, based on the given data and the mentioned efficiencies, the wind power is converted into mechanical power by the rotor and further into electrical power by the generator and other components of the wind turbine system.

Learn more about wind power here:

https://brainly.com/question/29833874

#SPJ11

Since none of the 13 classmates had been given math homework between the original survey and Kelly's second survey, the sum of the values in the second data set is the same as the sum of the values in the original data set. Therefore, the change in the means can be determined without calculating the mean of either data set by considering the number of data points in each set.

Since both data sets have the same number of data points, the change in the means will be zero. This is because the mean is calculated by dividing the sum of the values by the number of data points, and since the sum of the values is the same in both data sets, the means will also be the same.

In other words, if the mean of the first data set is x, then the sum of the values in the first data set is 13x (since there are 13 classmates), and the sum of the values in the second data set is also 13x (since none of the values have changed). Therefore, the mean of the second data set will also be x, and the change in the means will be zero.

The desirable heart rate for a 46 year old women is 115.1

Expression means a number, a variable, or a combination of numbers and variables and operation symbols.

Given:

The medical researchers has found the desirable heart rate of the person through the following expression

For men the expression is

r = 165 - 0.75a

For women the expression is

r = 145 - 0.65a

Here r represents the heart rate and a represents the person's age.

Here we need to find the desirable heart rate of the 46 year old women

So, the value of a is 46,

Now we have to apply the value on the given expression in order to solve it,

So,

r = 145 - (0.65 x 46)

r = 145 - 29.9

r = 115.1

To know more about expression here

https://brainly.com/question/13947055

#SPJ4

Answer:

x=-2.5

Step-by-step explanation:

Move the 13 to the other side making it a negative. 4.8x=1-13. simplify 4.8x=-12. 12 divided by 4.8 is 2.5.

The legal context and definitions are (a) Negligence - Establishes the link between the defendant's actions and the plaintiff's harm. (b) Negligence defenses - Plaintiff voluntarily accepts known risks, relieving the defendant of liability. (c) Invasion of privacy - Unjustified intrusion into private affairs that would offend a reasonable person. (d) Negligence - Accident itself suggests defendant's negligence without direct evidence (e) Defamation - False spoken statements harming someone's reputation (f) Monetary awards to punish and deter egregious behavior. (g) Defamation defenses - Immunity for certain statements made in specific contexts.

(a) Cause-in-fact

Legal context: Negligence.

Definition: Cause-in-fact refers to the actual cause or link between the defendant's conduct and the plaintiff's harm, establishing that the harm would not have occurred without the defendant's actions.

(b) Assumption of risk

Legal context: Negligence defenses.

Definition: Assumption of risk is a defense in negligence cases where the plaintiff voluntarily and knowingly accepts the risks associated with a certain activity, relieving the defendant of liability for any resulting harm.

(c) Seclusion

Legal context: Invasion of privacy.

Definition: Seclusion refers to the intentional and unjustified intrusion into an individual's private affairs or seclusion, which would highly offend a reasonable person.

(d) Res ipsa loquitur

Legal context: Negligence.

Definition: Res ipsa loquitur is a doctrine where the occurrence of an accident or injury itself suggests that the defendant was negligent, allowing the plaintiff to establish a prima facie case without direct evidence of negligence.

(e) Slander

Legal context: Defamation.

Definition: Slander is a form of defamation that involves making false spoken statements about someone that harm their reputation.

(f) Punitive damages

Legal context: Various tort subject areas.

Definition: Punitive damages are monetary awards beyond compensatory damages, awarded in certain cases to punish the defendant for particularly egregious behavior and to deter others from similar conduct.

(g) Absolute privilege

Legal context: Defamation defenses.

Definition: Absolute privilege is a defense in defamation cases that grants immunity from liability for statements made in certain contexts, such as during legislative or judicial proceedings, regardless of their truth or intent.

To know more about legal context:

https://brainly.com/question/28437027

#SPJ4

--The given question is incomplete, the complete question is given below " For each term (1) identify the legal context in which it arises; and (2) define the term.

For the legal context part of your answer for each term, indicate which tort subject area the term relates to (e.g., "fraud," “false imprisonment,” “defamation,” “defamation defenses,” “invasion of privacy,” “interference with contract,” “interference with prospective economic advantage,” “negligence,” “negligence defenses,” “strict liability,” or, if and where appropriate, “intentional torts” generally).

In addition, the definition portions of your answers need not be more than one sentence for each term. Your answer for each term is worth a maximum of 2 points.

(a) cause-in-fact

(b) assumption of risk

(c) seclusion

(d) res ipsa loquitur

(e) slander

(f) punitive damages

(g) absolute privilege"--