Chris completed a 100-meter breaststroke swimming race in 92.542 seconds.
Michael completed the 100-meter breaststroke swimming race in 95.6 seconds.
How much faster was Chris's time than Michael's? . I don’t need an explanation just tell me the answer it is not a… A B C D Type question just give me an answer

Here, we want to select which of the lengths could not be that of a right triangle

For a set of three numbers to be the sides of a right triangle

They must obey the Pythagoras' theorem

With respect to the question, we can have it restated that the square of the biggest numbers equal the sum of the squares of the two smaller ones

This brings us to the concept of Pythagorean triple

These are three numbers that at any time will form the sides of a right triangle

The correct answer in this case is the first one because the square of 16 is not equal to the sum of the squares of 10 and 4

All other options have the square of the biggest side equal to the sum of the squares of the two smaller ones

The steps that Patel could he use to solve the quadratic equation include:

8(x² + 2x) = –3

8(x² + 2x + 1) = –3 + 8

x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

It is preferred to solve quadratic equations without the use of the known quadratic formula solver. This can be completing squares and solving for x.

The equation given is:

8x² + 16x + 3 = 0

8(x² + 2x) = -3

Completing squares in the brackets and balancing the equation:

8(x² + 2x + 1) = -3 + 8

Factoring the perfect square will give 8(x + 1)² = 5.

This is illustrated in the options picked for the step.

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Answer:

1/4

Step-by-step explanation:

To find the slope given two points

m = (y2-y1) / (x2-x1)

   = (4-3)/(5-1)

   = 1/4

Answer:

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

Step-by-step explanation:

\( \frac{y1 - y2}{x1 - x2} \\ \frac{3 - 4}{1 - 5} \\ \frac{ - 1}{ - 4} \\ = \frac{1}{4} \)

hope this helps

brainliest appreciated

good luck! have a nice day!

Based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid.

The teacher surveyed his homeroom class about their post-graduation plans. He found out that most of his students plan to become soldiers.

An inference is a conclusion that can be drawn from a given set of data. In this case, the inference that can be made is that a significant number of students in the homeroom class plan to become soldiers.Therefore, the inference is valid based on the data provided.

However, it is essential to keep in mind that the sample size in the homeroom class is relatively small and may not be representative of the entire population. If the teacher had surveyed a more extensive and diverse population, the results might have been different.

In conclusion, based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid. However, this may not apply to the entire population, and it is crucial to consider the sample size when drawing inferences.

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The solution for the given system of equations is

x = 3

y = -12

What are linear equations in two variables?

Therefore, a linear equation in two variables is any equation that can be written in the form ax + by + c = 0, where a, b, and c are real values, and a and b are not equal to zero.

Given two linear equations of two variables.

y = -4x .....eq 1

6x - y = 30 .....eq 2

We have to solve them using substitution.

Now,

by substituting eq 1 in eq 2,

6x -(-4x) = 30

6x + 4x = 30

10x = 30

x = 3

from eq 1,

y = -4x = -4*3 = -12

Therefore, x = 3 and y = -12

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Answer:

\(\frac{1}{36} = 0.0278\) = 2.78% probability it will land on both 2 sides.

Step-by-step explanation:

For each trial, there are only two possible outcomes. Either it lands on 2, or it does not. The probability of the spinner landing on two in a trial is independent of any other trial, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

One of the six sides is 2:

This means that \(p = \frac{1}{6}\)

If the spinner is spun two times, what is the probability it will land on both 2 sides?

This is P(X = 2) when n = 2. So

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

\(P(X = 2) = C_{2,2}.(\frac{1}{6})^{2}.(\frac{5}{6})^{0} = \frac{1}{36} = 0.0278\)

\(\frac{1}{36} = 0.0278\) = 2.78% probability it will land on both 2 sides.

The equivalent fraction for 1, using the number line and dividing it into four equal parts, is 1/4.

To find an equivalent fraction using a number line, we need to determine a fraction that represents the same value as the given fraction.

Let's assume the given fraction is 1. On a number line, the fraction 1 can be represented as the distance between 0 and 1. Now, we want to find an equivalent fraction, so let's choose a different representation on the number line.

To find an equivalent fraction that represents the same value, we can divide the number line segment between 0 and 1 into equal parts. Let's say we divide it into 4 equal parts.

Now, we need to determine which of the four equal parts represents the fraction 1. Since we divided the segment into four equal parts, each part represents 1/4 (one-fourth) of the whole segment.

Therefore, the equivalent fraction for 1, using the number line and dividing it into four equal parts, is 1/4.

So, the equivalent fraction for 1 is 1/4.

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Answer:

lo i just gto 100 %

Step-by-step explanation:

lets do dad i love you

Answer:

Length of guy wire is 590.6 ft

Step-by-step explanation:

The complete question is

A radio transmission tower is  210  feet tall. How long should a guy wire be if it is to be attached 8 feet from the top and is to make an angle of  20°  with the ground. Give your answer to the nearest tenth of a foot.

height of tower = 210 ft

8 ft fro the top leaves 210 - 8 = 202 ft to the ground

This is an angle of elevation problem

the opposite is 202 ft

hypotenuse = ?

angle is  20°  

using sin ∅ = opp/hyp

sin  20°  = 202/hyp

0.342 = 202/hyp

hyp = 202/0.342 = 590.6 ft   this is the length of the guy wire

Answer: Right , Scalene

Step-by-step explanation: the picture shows that it is a right triangle. It also has side lengths of 8.66, 7, and 5.1 which are all different making it a scalene triangle.

The equation X^2/2 - 8 = 2X - 2 has two solutions, X = 6 and X = -2. These are the values of X that satisfy the equation and make both equations Y = X^2/2 - 8 and Y = 2X - 2 intersect on the graph.

To find the solutions to the equation X^2/2 - 8 = 2X - 2, we need to set the two equations equal to each other and solve for X.

The equation is:

X^2/2 - 8 = 2X - 2

To simplify the equation, let's multiply both sides by 2 to eliminate the fraction:

X^2 - 16 = 4X - 4

Next, we rearrange the equation to have all terms on one side:

X^2 - 4X - 12 = 0

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. Let's use factoring in this case:

(X - 6)(X + 2) = 0

Setting each factor equal to zero gives us two possible solutions:

X - 6 = 0 --> X = 6

X + 2 = 0 --> X = -2

So the solutions to the equation X^2/2 - 8 = 2X - 2 are X = 6 and X = -2.

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As a result, option two (3.50) is correct.

Step-by-step explanation:                                                    
                                   
The code chunk that allows you to filter the data frame for chocolate bars with at least 70% cocoa and a rating of at least 3.5 pounds is as follows

∴ filter(Cocoa, percent>='70%'&Rating>=3.5)


Therefore, the code you write is facet wrap(Cocoa. Percent). Facet wrap() is a function in this code chunk that allows you to wrap a variable's facets. All of the ingredients are derived from cocoa beans. Cacao solids (the "brown" part, which contains health benefits and the unmistakable chocolatey flavor) and cacao butter (the "white" part, which contains the chocolate's fatty component) are split in proportion.


As a result, 3.5 appears in row 1 of your Tibble.

Other options I (iii), and (iv) are incorrect because the question states that any rating greater than or equal to 3.5 points can be considered a
high rating, and the rating here should be 3.5, not 3.75, 4.25, or 4

So, option (ii) is correct.  


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Answer:

D. y = -5^x – 27

Step-by-step explanation:

Find the negative reciprocal of the slope of the original line and use the point-slope formula  y − y 1 = m ( x − x 1 )  to find the line perpendicular to  − x + 5 y = 14 .

y = − 5 x − 27                         PERPENDICULAAR

...................................................................................................................................................

Find the slope of the original line and use the point-slope formula  y − y 1 = m ( x − x 1 )  to find the line parallel to  − x + 5 y = 14 .

y = 1 /5 x − 1                             PARALLEL

All the solutions are,

⇒ x = 1/2 (w- v)

⇒ x = (b - 9)/(a - 2)

⇒ x = (4 + w) / (7 - v)

⇒ x = 2 / (v + w)

⇒ x = 7v/(3w - 4)

Given that;

Expressions are,

⇒ 6x + v = 4x + w

⇒ ax + 9 = 2x + b

⇒ 7x - w = vx+4

⇒ 6 - wx = vx + 4

⇒ 3(wx - v) = 4(x + v)

We can simplify as;

⇒ 6x + v = 4x + w

⇒ 6x - 4x = w - v

⇒ 2x = w - v

⇒ x = 1/2 (w- v)

⇒ ax + 9 = 2x + b

⇒ ax - 2x = b - 9

⇒ (a - 2)x = b - 9

⇒ x = (b - 9)/(a - 2)

⇒ 7x - w = vx+4

⇒ 7x - vx = 4 + w

⇒ (7 - v) x = 4 + w

⇒ x = (4 + w) / (7 - v)

⇒ 6 - wx = vx + 4

⇒ vx + wx = 6 - 4

⇒ (v + w)x = 2

⇒ x = 2 / (v + w)

⇒ 3(wx - v) = 4(x + v)

⇒ 3wx - 3v = 4x + 4v

⇒ 3wx - 4x = 7v

⇒ (3w - 4)x = 7v

⇒ x = 7v/(3w - 4)

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for KW 1 calculation output are 15,17,19,21,23for KW 2 calculation output are 61,63,65  for KW 3 calculation are   16,23,30,37,114,121,128,  just by substituting to equation we can get answer

what is equation ?

An equation is a mathematical statement that asserts that two expressions are equal. It is typically written using an equal sign (=) between the two expressions. An equation can contain variables, which are symbols that represent unknown values.

In the given question,

for table 1 calculation is as below

output x=0 is  15+2x=15+2*0=15

output x=1 is  15+2x=15+2*1=17

output x=2 is  15+2x=15+2*2=19

output x=3 is  15+2x=15+2*3=21

output x=4 is  15+2x=15+2*4=23

for table 2 calculation is as below

output x=1 is  60+2x=60+2*1=61

output x=2 is   60+2x=60+2*2=63

output x=3 is   60+2x=60+2*3=65

for table 3 calculation is as below

output x=0 is 16+7x=16+7*0=16

output x=1 is  16+7x=16+7*1=23

output x=2 is 16+7x=16+7*2=30

output x=3 is  16+7x=16+7*3=37

output x=14 is 16+7x=16+7*14=114

output x=15 is 16+7x=16+7*15=121

output x=16 is 16+7x=16+7*0=128

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for KW 1 calculation output are 15,17,19,21,23for KW 2 calculation output are 61,63,65  for KW 3 calculation are   16,23,30,37,114,121,128,  just by substituting to equation we can get answer

what is equation ?

An equation is a mathematical statement that asserts that two expressions are equal. It is typically written using an equal sign (=) between the two expressions. An equation can contain variables, which are symbols that represent unknown values.

In the given question,

for table 1 calculation is as below

output x=0 is  15+2x=15+2*0=15

output x=1 is  15+2x=15+2*1=17

output x=2 is  15+2x=15+2*2=19

output x=3 is  15+2x=15+2*3=21

output x=4 is  15+2x=15+2*4=23

for table 2 calculation is as below

output x=1 is  60+2x=60+2*1=61

output x=2 is   60+2x=60+2*2=63

output x=3 is   60+2x=60+2*3=65

for table 3 calculation is as below

output x=0 is 16+7x=16+7*0=16

output x=1 is  16+7x=16+7*1=23

output x=2 is 16+7x=16+7*2=30

output x=3 is  16+7x=16+7*3=37

output x=14 is 16+7x=16+7*14=114

output x=15 is 16+7x=16+7*15=121

output x=16 is 16+7x=16+7*0=128

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Answer:

false

Step-by-step explanation:

1/3 is .3333 going on forever

so 50% is grater than 33%

Answer:

False

Step-by-step explanation:

Because 1 and 1 half/3 would be 50% of a cereal box

Answer:

-32

Step-by-step explanation:

Let the number be x.

\(2(x+8)=-48 \\ \\ x+8=-24 \\ \\ x=-32\)

ANSWERS

a. 1/2

b. 1001

c. 20

d. 8

e. 0.16

EXPLANATION

a. There are 4 women and 4 men on the hiring committee, which is a total of 8 people. The probability that a randomly selected person is a woman is,

Hence, the probability that the person drawing the names from the hat is a woman is 1/2.

b. The applicant pool consists of 6 database administrators and 8 network engineers, which is a total of 14 applicants. We want to choose 4 applicants,

Hence, there are 1001 ways to choose the group to be hired.

c. There is a total of 6 database administrators, and we want to choose 3,

Hence, there are 20 ways of choosing 3 database administrators.

d. There is a total of 8 network engineers, and we want to choose 1,

Hence, there are 8 ways of choosing 1 network engineer.

e. In part b, we found that there is a total of 1001 ways of choosing the 4 people to be hired. Also, in parts c and d, we found that there are 20 ways of choosing 3 database administrators and 8 ways of choosing 1 network engineer. The probability that this is the combination of people hired is,

Hence, the probability that the random selection of four persons to be hired will result in 3 database administrators and 1 network engineer is approximately 0.16.

Answer:

\( \frac{5}{3} \)

~ See attatchment

Step-by-step explanation:

I'm unsure what you want me to do here, so I drew a graph (using Desmos) and the slope.

The slope is given, 5/3. The slope-intercept equation is usually y = mx + b -- m being the slope and b being the y-intercept.

Hi!

Let's check if the equation that we're going to work with is in slope-intercept form.

Remember, the slope-intercept formula is:

                                   \(\diamondsuit~~~\boldsymbol{y=mx+b}\)

Where:

Details:

\(\boxed{\\\begin{minipage} {8cm}\sf{Slope = coefficient \ of \ x, \ or \ the \ number \ before \ x.}\\\sf{Y-intercept = \ a \ number \ added \ to \ or \ subtracted \ from \ the \ slope.} \end{minipage}}\)

Therefore:

\(\stackrel{\heartsuit}{\boxed{\boxed{\textsc{Slope:}\quad\boldsymbol{\displaystyle\frac{5}{3}}}}}\)

I hope I helped, have a wonderful day!

If you need any explanation or clarification, reach out to me, I'm always happy to help. :D

Step-by-step explanation:

Let's call the average speed of the tortoise "t" (in meters per hour) and the average speed of the hare "h" (in meters per hour).

From the problem, we know that:

The tortoise leaves 8 minutes before the hare, so they have a 4-minute head start.

The hare crosses the finish line 4 minutes before the tortoise, so they have a 4-minute lead.

Therefore, the total time it takes for the hare to finish the race is 8 minutes less than the time it takes for the tortoise to finish the race. Let's call this time difference "dt".

The distance the hare runs is 21 meters, and the distance the tortoise runs is also 21 meters, so we have:

h * dt = 21 - t * (dt + 4 minutes)

To solve for the average speeds "t" and "h", we need to convert everything to units of hours. Let's convert 4 minutes to hours:

4 minutes = 4/60 hours = 1/15 hours

So, we can now rewrite the equation in terms of hours:

h * dt = 21 - t * (dt + 1/15 hours)

Rearranging and solving for t, we find:

t = (21 + h * dt) / (dt + 1/15)

Now, the hare runs 0.5 meters per hour faster than the tortoise, so:

h = t + 0.5

Substituting h = t + 0.5 into the equation for t, we get:

t = (21 + (t + 0.5) * dt) / (dt + 1/15)

Solving for t, we find:

t = 40/3 meters per hour

Finally, we can find the average speed of the hare by using h = t + 0.5:

h = 40/3 + 0.5 = 40/3 + 30/60 = 40/3 + 30/3 / 60 = 70/3 meters per hour

So the average speed of the tortoise is 40/3 meters per hour, and the average speed of the hare is 70/3 meters per hour

dummy there is no diagram provided for reference. However, assuming that the dimensions given (5in, 8in, and 3in) represent the length, width, and height of the box respectively, we can use this information to calculate the volume of the box.

The volume of a rectangular box is given by the formula V = lwh, where l, w, and h are the length, width, and height of the box respectively. Using the values given, we have:

V = (5 in) x (8 in) x (3 in) = 120 cubic inches

Since each cube has a volume of 1 cubic inch, the number of cubes needed to completely fill the box is simply equal to the volume of the box. Therefore, 120 more 1-inch cubes are needed to completely fill the box.

Step-by-step explanation:

use brain

The range of the data is the difference between the highest and lowest values, which is 8 inches. Adding another plant with a height of 14 inches would not change the range, so the range would remain 8 inches.

Data is a collection of facts, figures, or information that can be processed and used to draw conclusions or make decisions. It can be stored in a variety of formats, including numerical, text, images, audio, and video. Data can be collected from a variety of sources, such as surveys, observations, experiments, or transactions. It can be used to inform decisions in areas such as business, health care, education, and research. Data can be analyzed to gain insight, develop strategies, identify trends, and make predictions. Data is a valuable resource and is increasingly important in today's digital age.

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Answer:

Minimum population of fish in lake = 2400 - 155 = 2245

Maximum population of fish in lake = 2400 + 155 = 2555

Step-by-step explanation:

population of fish in lake = 2400

Variation of fish = 155

it means that while current population of fish is 2400, the number can increase or decrease by maximum upto 155.

For example

for increase

population of fish can 2400 + 2, 2400 + 70, 2400 + 130 etc

but it cannot be beyond 2400 + 155.

It cannot be 2400 + 156

similarly for decrease

population of fish can 2400 - 3, 2400 - 95, 2400 - 144 etc

but it cannot be less that 2400 - 155.

It cannot be 2400 - 156

Hence population can fish in lake can be between 2400 - 155 and 2400 + 155

minimum population of fish in lake = 2400 - 155 = 2245

maximum population of fish in lake = 2400 + 155 = 2555

The mileage costs for Brand C washer be than the mileage costs for Brand D  washer   is  $16.80, option ( a) is correct.

What's periodic diffrence ?

Periodic difference refers to the difference in a particular volume ( similar as cost or income) between two different options over the course of a time. It's calculated by multiplying the yearly or per- unit difference by 12 ( the number of months in a time). The periodic difference is a useful metric for comparing the long- term costs or benefits of different options over a time.

The difference in cost per cargo between Brand C and Brand D is$0.58-$0.44 = $0.14.

Multiplying this by the number of loads per month gives

0.14/ cargo x 10 loads/ month = $1.40/ month.

The periodic difference in cost would be

1.40/ month x 12 months/ time = $16.80/ time.

thus, the answer is ( a) $16.80.

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Problem

We need to find the y intercept of this function

y=-1/2cos(3/2x)​

Solution

The y intercept correspond to the value of x=0 of the function and we can do this:

y= -1/2 cos (3/2 *0)

y= -1/2 cos (0) = -1/2

And then the best solution it would be:

x=0 and y= -1/2

(0,-1/2)

Answer:

The Given angle is -230° i.e negative 230°

Therefore lies in the second quadrant which is between -180° to -270°

Step-by-step explanation:

For angle to move in ANTICLOCK WISE ( positive angles):

In anticlockwise the terminal side of the angle is moving from first quadrant to second quadrant then to third quadrant then to fourth quadrant and so on.

Quadrant I = 0 to 90°

Quadrant II = 90° to 180°

Quadrant III = 180° to 270°

Quadrant IV = 270° to 360°

For angle to move in CLOCK WISE ( negative angles):

Here, the negative sign tells us we're moving in a clockwise direction, so from the positive x-axis, down into fourth quadrant then to third quadrant then to second quadrant then to first quadrant and so on.

Quadrant IV =  0 to -90°

Quadrant III = -90° to -180°

Quadrant II  = -180° to -270°

Quadrant I   = -270° to -360°

The Given angle is -230° i.e negative 230°

Therefore lies in second quadrant which is between -180° to -270°

Answer #1:

the difference between the PARIMITER and AREA of a shape is

  - PARIMITER is the length of all sides in total

  - AREA is the square ore cubic measurement aka VOLUME of a shape

Answer #2:

the difference between 1in and 2in is 1 in

Step-by-step explanation:

#1:

say we have a square that is 2 by 3 units, to measure the shape in both mediums we will use two easy functions

  ~ PARIMITER = 10

to figure out the outside edge of this shape, we need to measure all single sides and add them together

(2 + 2) + (3 + 3) = 4 + 6 = 10

       ^  note: be sure to add BOTH sides even if they have same measurements, beings there are two sides that have a measurement of 2 units, we add them together, same with the sides of 3, then we add those together

  ~ AREA = 6

to find the area, we just need to take ONE of each axis side (ei only left or right, top or bottum, and in some cases front or back) and lay them as shown

width = 2

height = 3

then we multiply them with each other

2 * 3 = 6

#2

finding the difference between two numbers can be quite easy, all we do is subtract 1 from the other, and depending on the result, we can tell whats greater, lesser or indifferent, take a look here

say we subtract 2in from 1in

2in - 1in = 1in

we are left with 1in from the 2in, meaning that 2in is greater then 1in by 1in, HOWEVER if we subtract 2in from 1in

1in - 2in = (-1in)

the number is in the negative, meaning that there is 1in LESS in 1in then in 2in

NOTE sometimes we find out that one of has no difference or is the same as the other number, heres an example

3in - 3in = 0in

this equation represents that the first 3in is no greater, nor lesser then the second 3in, meaning both values are the same

PS: for real though i know these are easy questions but i figured id earn the crown hehe :3, feel free to fact check this if you want, and if you want to use this as foot notes for your work

Answer:

Water is the only molecule because of which life is possible on Earth. In outer space, the conditions are so hostile that Water cannot be found in its natural form- liquid. This liquid Water has been giving us sustenance throughout billions of years.

Step-by-step explanation:

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