Olympi
During the 1996 Summer Olympics in Atlanta, Georgia
the American athlete Michael Johnson set an
and world record in the men's 200-meter run. He finishe
the race in 19.32 seconds, breaking the previous Olympi
record of 19.75 seconds. By how much did Micha
Johnson break the previous Olympic record?

Answer:

Length of one side of the container = 5 feet

Step-by-step explanation:

Given:

V = s³

Where,

V = volume of the container

s = side length of the container

V = 125 cubic feet

Find s?

V = s³

125 = s³

Find the cube root of both sides

3√125 = 3√s³

5 = s

s = 5 feet

Length of one side of the container = 5 feet

Answer:

(a) The coordinates of the inflection point are (1; 8) and, being the value of a less than zero, then these coordinates indicate the maximum of the function.

(b) The y-intercept has a value of 6

(c) The coordinates of the x-intercepts have a value of x=3 and x=-1

Step-by-step explanation:

You know y= -2*(x-1)² + 8

(a) Every quadratic function can be expressed by the canonical form:

f(x)=y= a*( x- h)² + k

where a is the principal coefficient and the ordered pair (h; k) are the coordinates of the vertex of the parabola.

The quadratic function will have a maximum or minimum value at the vertex. If a> 0, the parabola is concave, that is, it will have its branches upwards, therefore the vertex will indicate the minimum of the function. But if a <0 the parabola is convex and the vertex will indicate the maximum of the function.

Comparing the given equation with the canonical form of a quadratic function you can see that:

Then, the coordinates of the inflection point are (1; 8) and, being the value of a less than zero, then these coordinates indicate the maximum of the function.

(b)  The y-intercept arises from evaluating the function at x = 0. So, in this case:

y= -2*(0-1)² + 8

Solving:

y= -2*(-1)² + 8

y= -2*1 + 8

y= -2+8

y= 6

The y-intercept has a value of 6

(c)   The roots or coordinates of the x-intercepts arise from evaluating the function at y = 0. So, in this case:

0= -2*(x-1)² + 8

Solving:

-8= -2*(x-1)²

[tex]\frac{-8}{-2} =(x-1)^{2}[/tex]

4= (x-1)²

√4= |x-1|

⇒ 2=x-1 → 2+1=x → 3=x

⇒ -2=x-1 → -2+1=x → -1=x

The coordinates of the x-intercepts have a value of x=3 and x=-1

Answer:

For example, if the function h(n) gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function.

he put away 91% of the candy for later because 100 divided by 53 is 1.89 and 1.89 multiplied by 48 equals 90.72 which rounds up to 91. hope you get a good grade!

Answer:

2

Step-by-step explanation:

The multiplicative inverse of 1/2 is 2. To determine the multiplicative inverse of a number, we use the following rule: The multiplicative inverse...

Answer:

Q.1 - 10

Q.2 - −54

Step-by-step explanation:

Answer:

This Ratio Division Calculator allows you to divide an amount by a specific ratio (with multiple ratio values, for example 2:5:9:11:18, click on the "Example" buttons for ratio division examples), if you are new to ratio division or want to understand the formulas used in ratio division you should use our Divide Ratio Calculator as this ratio division calculator assumes you already understand the basics of ratio division, you may also find our Equivalent Ratio Calculator useful. A ratio is a numerical comparison of 2 or more quantities and indicate the relative size of each quantity. Ratios are used in a number of daily activities and business markets, the Ratio Division Calculator can be used to divide a specific ratio, you can also access additional Ratio Calculators for application in math, engineering and other every day scenarios.

Step-by-step explanation:

d =   c × b a  ,

d =   3 × 8 4  = 6

If we divide £42 in the ratio of 1:5 so it comes 7 and 35.

Given that,

Based on the above information, the calculation is as follows:

[tex]= 42 \times 1 \div (1 + 5)[/tex]

= 7

And

[tex]= 42 \times 5 \div (1 + 5)[/tex]

= 35

Therefore we can conclude that If we divide £42 in the ratio of 1:5 so it comes 7 and 35.

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Answer:

10:30PM on the next day

Step-by-step explanation:

First movie = 85mins

intermission = 5mins

  Total time = 90mins which is 1:30PM

so the first movie will start again at  1:30PM, which is at the interval of 90minutes and it will run continuously.

Similarly the second movie is 110 minutes long + 5mins intermission which is 115minutes

Time = 1:55PM

so the second movie starts again at 1:55PM and runs continuously at an interval of 115minutes.

We are interested to find when both the movie will start again at the same time, this will be least common multiple of 90 and 115.

LCM of 90,115 = 2070

Therefore after 2070minutes movie will start again at the same time.

2070mins = 34hours and 30 minutes

adding this with noon

10:30PM on the next day.

Answer:

If it needs to be factored by grouping the answer would be (3x+7) and (x+10).

Step-by-step explanation: I don't know how to explain but I hope this helped.

Answer:

[tex]\dfrac{27}{100}[/tex]

Step-by-step explanation:

The number [tex]0.27[/tex] can be attained by the following expression

[tex]0.27=\dfrac{k27}{k100}[/tex]

Where

[tex]k[/tex] = any positive positive integer.

Let us take the minimum ratio

[tex]0.27=\dfrac{1\times 27}{1\times 100}[/tex]

[tex]=\dfrac{27}{100}[/tex]

where [tex]k = 1[/tex]

So, the probability estimate in ratio form is [tex]\dfrac{27}{100}[/tex].

Answer:

Step-by-step explanation:

y = mx + b , "m" is a slope and "b" is y-intercept (0, b)

~~~~~~~~~~

G(- 4, - 4)

Slope [tex]m_{DF}[/tex] = 2

y + 4 = 2(x + 4)

y = 2x + 4 ⇒ (0, 4)

Answer:

3948 members

Step-by-step explanation:

SInce a is the initial amount, a = 2000. b represents growth factor, and the amount increases by 12% every year, so b = 1.12. Since you want to find the value in 6 years, x= 6. Therefore your equation is y = 2000 • 1.12 ^ 6. Plug it into your calculator and you get y =  3947.64, and since they are people you round up to 3948 members.

Answer:

SAS

Step-by-step explanation:

We have 2 sides that are congruent and the angle between them

We can use SAS ( side angle side) to prove congruency

Answer:

hope it helps..

Step-by-step explanation:

If this helps please comment on my answer...

Answer:

Answer:

21 birds and 7 dogs

Step-by-step explanation:

Represent Birds with B and Dogs with D

[tex]B + D = 28[/tex] ----- Total Animals

A bird has 2 legs and a dog has 4, so:

[tex]2B + 4D = 70[/tex] ---- Legs

Required

Solve for D and B

Make D the subject in the first equation

[tex]D = 28 - B[/tex]

Substitute 28 - B for D in the second

[tex]2B + 4(28 - B) = 70[/tex]

[tex]2B + 112 - 4B = 70[/tex]

Collect Like Terms

[tex]2B - 4B = 70 - 112[/tex]

[tex]-2B = -42[/tex]

Solve for B

[tex]B = -42/-2[/tex]

[tex]B = 21[/tex]

Recall that: [tex]D = 28 - B[/tex]

[tex]D = 28 - 21[/tex]

[tex]D = 7[/tex]

Hence, there are 21 birds and 7 dogs

hi i think the answers C     z<=16.1    good luck:)

pls don't hate on me if im wrong:(

Answer:

Your answer will be C z<=16.1

Step-by-step explanation:

How to solve this would be to divide -4 from both sides and because you are dividing a negative you have to flip the sign.

Answer:

I got you lol

Step-by-step explanation:

Let's say you want to calculate the GCD and LCM of two numbers: 12 and 28. First, determine the prime factorizations of 12 = 2 × 2 × 3 and 28 = 2 × 2 × 7. The GCD is the string that is present in both sets of factorizations, i.e., 2 × 2 = 4. The LCM is the greatest power of all exponents;  2 × 2 × 3 × 7 = 84.

simply put, The Least Common Multiple (LCM) of two integers a and b, usually denoted by LCM (a, b), is the smallest positive integer that is divisible by both a and b.

GCD is the largest number that divides 2 numbers equally and gives remainder 0.

Answer:

y = 15

Step-by-step explanation:

-1/3 y -6 = -11

Add 6 to each side

-1/3 y -6+6 = -11+6

-1/3 y = -5

Multiply each side by -3

-1/3 y * -3 = -5*-3

y = 15

Check

-1/3 *15 -6 = -11

-5 -6 = -11

-11=-11

After substituting the given values of x and y in the equation, all that can apply are (0, 2), (3, 0), and (6, -2).

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given information in the question,

The given equation is,

2x + 3y = 6

Now, substitute the corresponding points and check,

1. For points (0, 2)

2(0) + 3(2) = 6

6 = 6, this is correct.

2. For points (0, 6)

2(0) + 3(6) = 18

6 ≠ 18, this is incorrect.

3. For points (2, 3)

2(2) + 3(3) = 6

13 ≠ 6, this is incorrect.

4. For point (3, -2)

2(3) + 3(-2) = 6

0 ≠ 6, this is incorrect.

5. For point (3, 0)

2(3) + 3(0) = 6

6 = 6, this is correct.

6. For point (6, -2)

2(6) + 3(-2) = 6

6 = 6, this is correct.

To know more about equation:

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Answer:

i did not understant your question

i think u want the definition of relation

A relation between two sets is a collection of ordered pairs containing one object from each set. If the object x is from the first set and the object y is from the second set, then the objects are said to be related if the ordered pair (x,y) is in the relation. A function is a type of relation.

Step-by-step explanation:

plssssssssssss markkkk meee brainlist

A relation is a collection of Ordered pairs where each x-value is paired with only one y-value.

For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of x for which [y] exists.

Given is the graph of a equation

A relation between two sets is a collection of ordered pairs containing one object from each set. If the object x is from the first set and the object y is from the second set, then the objects are said to be related if the ordered pair (x, y) is in the relation.

Therefore, a relation is a collection of Ordered pairs where each x-value is paired with only one y-value.

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Answer: N/A

Step-by-step explanation: you would need K in order to find the value of X,Y,Z

Answer:

If k = 99

then

x = 8

y = 27

z = 64

Step-by-step explanation:

You have to use a different number for each letter so you can but in any combination the answer just has to make sense as in you added up x, y, and z to get k.

Answer:

I = √(P/R)

Step-by-step explanation:

Given the formula for electric power, we want to rewrite the formula in terms of I

What this means is that we want to make I the subject of the formula;

From ;

P = I^2R

I^2 = P/R

I = √(P/R)

Answer:

4. y = 2x -6

5. y = -x + 3

6. y = -[tex]\frac{1}{3}[/tex]x - 1

7. m= -4 and b=3

8. m= 1 and b=-7

9. y = 0.08x + 3

10. y= 3x - 19

11. y= -3x + 5

Step-by-step explanation:

Use the equation y = mx + b; where m is the slope and b is the y-intercept

4. given: m = 2 and y-int = -6; plug into equation

y = mx + b

y = 2x -6

5. given: m = -1 and y-int = 3; plug into equation

y = mx + b

y = -x + 3

6. given: m = -1/3 and y-int = -1; plug into equation

y = mx + b

y = -[tex]\frac{1}{3}[/tex]x - 1

7. given: y=-4x+3; slope m and y-intercept b are

m= -4

b=3

8. given: y=x-7; slope m and y-intercept b are

m= 1

b=-7

9.  the monthly of $3 is fixed or starts the month; which is the y-intercept (another way to say is it is at 0 minutes) so b = 3.  Now the rate is $0.08 per minutes and the rate is the same as the slope, m= 0.08

Using equation y=mx+b; substitute

y = 0.08x + 3

10.  Given: (6,-1) and m= 3

use y=mx+b; substitute the y point into equation

-1 = 3x + b; substitue the x point into equation

-1 = 3(6) + b; solve for b

b = -19; now plug back into equation

y = mx + b or y= 3x - 19

11.  Given: (2,-1) and m= -3

use y=mx+b; substitute the y point into equation

-1 = -3x + b; substitue the x point into equation

-1 = -3(2) + b; solve for b

b = 5; now plug back into equation

y = mx + b or y= -3x + 5

Answer:

it simplify is [tex]x[/tex]²+4[tex]x[/tex]

Step-by-step explanation:

Answer:

the number of unique versions of the Grand Touring bike is 56

Step-by-step explanation:

The computation of the number of unique versions of the Grand Touring bike is shown below:

Here there are 14 color choices

Now each color could be with or without phone mount so it would be

= 14 × 2

= 28

And, each model could be sidecar or without sidecar so it would be

= 28 × 2

= 56

Hence, the number of unique versions of the Grand Touring bike is 56

Answer:

y=4x+1

Step-by-step explanation:

7=4(2)+c

c=1

y=4x+1