Jamal can run 1 mile in 5.05 minutes. If Jamal maintains this pace during a 5-kilometer (5K) race, he expects to break the course record of 15.25 minutes. Is Jamal's expectation reasonable? Explain.

Answers

Answer 1

Answer:

The expectation is reasonable

Step-by-step explanation:

Since Jamal runs 1 mile in 5.05 minutes, and expected to run 5 km in 15.25 minutes, we need to find if this is true. So, we need to find if he can actually run 5 km in 15.25 minutes.

Now 1 mile = 1609 m and  5 km = 5000 m. So, 5 km = 5000 m × 1mile/1609 m

5 km = 5000/1609 mile

Also since Jamal runs 1 mile in 5.05 minutes, the time it takes to run 5 km = 5000/1609 mile is 5000/1609 mile × 5.05 minutes/1 mile = 25,250/1609 minutes = 15.69 minutes.

Since our calculation shows that Jamal runs a 5 kilometer race in 15.69 minutes, the expectation that he will break the record in 15.25 minutes is reasonable. He can only break the record if he runs faster since there is a difference of 15.69 - 15.25 minutes = 0.44 minutes = 0.44 × 60 = 26.4 seconds which is quite a short time. So the expectation is reasonable.

Answer 2

Answer:

Step-by-step explanation:


Related Questions

Which graph represents an even function?

On a coordinate plane, a hyperbola has a curve in quadrant 1 and a curve in quadrant 3. The curve in quadrant 1 has a vertex at (2, 2) and goes through points (1, 5) and (5, 1). The curve in quadrant 3 has a vertex at (negative 2, negative 2) and goes through points (negative 5, negative 1) and (negative 1, negative 5).

On a coordinate plane, a function has two curves. The first curve is asymptotic to x = negative 3, goes through (negative 2, 0), has a minimum of (negative 1.5, negative 1), goes through (negative 1, 0), and connects with the second curve at (0.5, 3). The second curve starts at (0.5, 3), goes through (2, 0), has a minimum of (2.5, negative 1), goes through (3, 0), and is asymptotic to x = 4.

On a coordinate plane, a parabola opens down. It goes through (negative 2, 0), has a vertex at (0, 4), and goes through (2, 0).

On a coordinate plane, a straight line has a negative slope. It goes through (negative 2, 4), crosses the y-axis at (0, 2), and crosses the x-axis at (2, 0).

Answers

Using the concept of even function, it is found that the graph that represents an even function is the third option, given by:

On a coordinate plane, a parabola opens down. It goes through (-2, 0), has a vertex at (0, 4), and goes through (2, 0).

--------------------------------

For an even function, [tex]\mathbf{f(x) = f(-x)}[/tex] for all values of x.

--------------------------------

For the first option, [tex]f(1) = 5[/tex], and [tex]f(-1) = -5[/tex], thus [tex]\mathbf{f(x) \neq f(-x)}[/tex], and the function is not even.For the second option, there are asymptotes, thus, it is not even.For the third option, from the information given, [tex]\mathbf{f(-2) = f(2)} = 0[/tex], we suppose this extends for all values of x, thus, it is even, and this is the correct option.For the fourth option, [tex]f(-2) = 4[/tex] and [tex]f(2) = 0[/tex], thus [tex]\mathbf{f(-x) \neq f(x)}[/tex], and the function is not even.

A similar problem is given at https://brainly.com/question/16711376

Answer:

c) the parabola

Explanation:

Hope you have a great day!

A swimmer dives to 65 feet below the surface of the ocean. Write the integer that represents the depth of the dive. PLEASE HELP THIS IS A QUIZ!!

Answers

Answer:

-65 feet

Step-by-step explanation:

Answer: -65

Step-by-step explanation:

lets say 0 is the sea level and the swimmer goes down 65 it would be going to the left of zero which would be negatives so you would be going down -65 feet

need it asap please help im lost

Answers

Answer:

A. Hour 0 to 5

Step-by-step explanation:

The question is basically just asking where the temperature decreases. If you look, the temperature value decreases the whole time except from 5 to 8.

Answer:

It's from 0 to 5 hour

Step-by-step explanation:

In these 8 hours, the Fahrenheit from 0 - 5 hours is decreasing and after of it is become higher which is from 5 - 8

7)
Find the slope of the line
O -5/3
0 -3/5
5/3
O 3/5

Answers

Answer: - 5/3

find the rise (-5) and the run (-3) and divide them .

Slop formula is y2-y1
————-
X2-x1
Find the points for each dot
P1 and p2

*EXTRA PTS* can someone explain how to figure out if a graph is a function or not a function

Answers

Answer:

draw a strait line and if it doesn't touch another dot it is a function

Step-by-step explanation:

Answer: Vertical line test

Step-by-step explanation:

Look at one of the graphs you have a question about. Then take a vertical line and place it on the graph. If the graph is a function, then no matter where on the graph you place the vertical line, the graph should only cross the vertical line once.

A fox is traveling at 11.2 m/s (meters per second). How far
will it travel in 2 minutes?

Answers

Answer:

1344 meters in two minutes.

Step-by-step explanation:

since its moving at 11.2 meters per second then you multiply 11.2 times 60. You should get 672 meters per minute. Now you need to multiply 672 by 2 to get the answer 1344

PLZ HELP ME AND THANK YOU: Mr. Miori bought a new tree for his backyard. He bought a red oak that cost $30. Since trees are a sales taxable item, he had to pay a sales tax of 7%. What was the total cost of his tree including tax?

Answers

Answer:

50

Step-by-step explanation:

k;';'kl;'kl;'kl;'kl;'kl;'kl'kl;'kl;'kl;'kl;

Step-by-step explanation:

[tex] \frac{7}{100} \times 30 = 2.10[/tex]

[tex]30 + 2.10 = 32.10[/tex]

Do the ratios 2/4 and 1/5 form a proportion?

Answers

Answer:

yes

Step-by-step explanation:

Answer: no I don’t believe so

t - 27 = 4t
What equals t

Answers

Answer:

-9

Step-by-step explanation:

Answer:

3t=-27

t=-9

Step-by-step explanation:

A tree in the Amazon rain forest grows an average of 2.3 cm per week. Write a sequence that represents the weekly height of the tree if it is 7 meters tall today. Write a recursive formula for the sequence and find the height of the tree after 6 weeks.

Answers

Answer:

Recursive formula

= an = a1 +(n - 1)d

Where

a1 = First term

n = nth term

d = common difference

The height of the tree after 6 weeks = 711.5 centimeters or 7.115 meters

Step-by-step explanation:

Recursive formula

= an = a1 +(n - 1)d

Where

a1 = First term

n = nth term

d = common difference

We are told that the tree is 7 meters tall today = a1

We convert to centimeters

1m = 100cm

7m =

Cross Multiply

= 7 × 100cm

= 700cm

And it grows at an average of 2.3cm per week = 2.3

Hence, an = a1 +(n - 1)d

We are to find the height of the tree after 6 weeks

a6 = 700 + (6 - 1) 2.3

a6 = 700 + (5)2.3

a6 = 700 + 11.5

a6 = 711.5cm.

We can convert to meters if we like

= 100 cm = 1 m

711.5 cm =

711.5cm/100

= 7.115m

The height of the tree after 6 weeks is 711.5 cm or 7.11 meters

which graph represents the table of values?

Answers

Answer:

The answer is A

Step-by-step explanation:

Just pin point each coordinate in order and connect the dots, you will get line A

If there is 3 grams of protein in 1/4 cup of cereal, how mcuh is in 1 cup/ what is the unit rate

Answers

Answer:

12

Step-by-step explanation:

if there's 3 grams in 1/4 cup then add it until there's a whole cup. (I don't know about the unit rate part sorry

passing through point (0,5) and perpendicular to the x-axis

Answers

That means the line goes through a point (0,5) that’s on 0 on the x axis (the ones that’s left to right) and on 5 on the y axis (the one that goes up and down). And perpendicular means it makes a right angle so it might make a t or x with the x axis.

PLZ ANSWER ONLY IF YOU KNOW!!! BRAILIEST 5 STARS AND A THANKS!!!

When Samantha uses her calling card overseas, the cost of a phone call is $0.75 for the first three minutes and $0.12 for each additional minute, thereafter. Samantha plans to spend at most $3.60 to make a call. Find the greatest possible length of talk time. Round your answer to the nearest whole number.

Answers

x = 26.75 min

26 minutes, would = 3.51. if you add .12 to that it is 3.63.

so the most that she could talk would be 26 minutes.

x= 26.25. hope this helps

A bus travels 0.8 mile east every 45 seconds. A second bus travels 0.55 mile west every 30 seconds. The buses start at the same location. Use two methods to determine how far apart the buses are after 15 minutes.

Answers

Answer:

32.5 miles

Step-by-step explanation:

Given that:

Eastbound bus :

0.8 miles every 45 seconds

Speed per second :

0.8 / 45 = 0.0177777 miles per second

Distance after 15 minutes

(15 * 60) * 0.0177777 = 16 miles

Westbound bus:

0.55 miles every 30 seconds

Speed per second :

0.55 / 30 = 0.0183333 miles per second

Distance after 15 minutes :

(15 * 60) * 0.0183333 = 16.5 miles

Distance apart :

16 miles + 16.5 miles = 32.5 miles

METHOD 2:

Distance covered after 15 minutes :

15 minutes = 15 * 60 = 900 seconds

Distance apart after 900 seconds :

[0.8 * (900/45)] + [0.55 * (900/30)]

16 + 16.5

= 32.5 miles

GIVING BRAINLIST!!!

Refer to the figure at the right. What percent of the
area of rectangle PQRS is shaded?
A) 12.5%
B) 25%
C) 30%
D) 40%

Answers

Step-by-step explanation:

B) 30%, if you put the two pieces together it would be 30% of the rectangle that is shaded

The percent of the area of rectangle PQRS is shaded is 25%.

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100.

Given:

The shape is a rectangle and it is cut into half using diagonal.

again cut by another diagonal which 1/4 section.

Now again it is one more time cutted but this time make section of 1/8

As, there are two shaded section

=1/8+1/8

=2/8

=1/4

=1/4 *100

=25%

Hence,  percent of the area of rectangle PQRS is shaded is 25%.

Learn more about percentage here:

https://brainly.com/question/28269290

#SPJ2

Can someone please help me ASAP ill mark brainlist!!!!

Answers

Answer:

45% of 188.94 is 85.023 so we do this 188.94 - 85.023 would equal 103.917

Step-by-step explanation:

THE ANSWER IS 103.917! HOPE THIS HELPS! PLZ GIVE ME BRAINLIEST

PLZ HELP ASAP -34 is the _______th term of 30,22,14,6,...

Answers

Answer:

the ninth term of 30, 22, 14, 6, -2, -10, -18, -26, -34

Step-by-step explanation:

The upper and lower quartiles are the _______________ of each half of the data.
Group of answer choices

mean

none of the above

mode

median

Answers

The answer is median

ABC=40 and Bd is angle bisector of ABC what is ABD= ?

Answers

Answer:

20

Step-by-step explanation:

40 ÷ 2 = 20

its 20 since BD is an angle that bisects " divdes " angles in half.

The measure of angle ABD is 20 degrees and this can be determined by using the properties of the angle bisector.

Given :

ABC = 40 and BD is the angle bisector of angle ABC.

The following steps can be used in order to determine the angle ABD:

Step 1 - According to the given data, BD is the angle bisector of angle ABC.

Step 2 - An angle bisector bisects the angle into two equal parts.

Step 3 - So, the measure of angle ABD is calculated as:

[tex]\angle ABD = \dfrac{\angle ABC}{2}\\\\ \angle ABD = \dfrac{40}{2}\\\\ \angle ABD = 20^\circ[/tex]

So, the measure of angle ABD is 20 degrees.

For more information, refer to the link given below:

https://brainly.com/question/2478436

please help? what does x equal?

Answers

Answer:

Step-by-step explanation:

Sum of all angles in a trapezium equals 360° and we two 90° angles so now,

[tex]90+90+x+(x-60)=360\\180+2x-60=360\\2x=360-180+60\\2x=180+60\\2x=240\\x=240/2\\x=120[/tex]

so now the angles are 90°,90°,120° and 60° i also attached an image so you can understand better.

Li Na is going to plant 636363 tomato plants and 818181 rhubarb plants. Li Na would like to plant the plants in rows where each row has the same number of tomato plants and each row has the same number of rhubarb plants. What is the greatest number of rows Li Na can plant?

Answers

Answer:

9 rows

Step-by-step explanation:

Given that:

Li Na wants to plant 63 tomato plants and 81 rhubarb plants

However, Li Na was hoping with the mindset to plant the plants in rows;

where each row possesses the same number of tomato plants and rhubarb plants.

So;

Suppose we choose a given number, Let's say (9) to be the divisor for both the number of tomato plants and rhubarb plants;

Then

63/9 tomato plants = 7 tomato plants

81/9 rhubarb plants = 9 rhubarb plants

Therefore, the greatest number of rows Li Na can plant 7 tomato plants and 9 rhubarb  plants = 9

Answer:

9

Step-by-step explanation:

khan said so

107. 12ML to L
I need help please

Answers

Answer : 0.10712

Step-by-step explanation: Please give brainliest it helps alot

0.10712 that’s the answer

What is p in p+5=p+6 it doesn’t make sense to me

Answers

Answer:

no solution

Step-by-step explanation:

Given

p + 5 = p + 6 ( subtract 5 from both sides )

p = p + 1 ( subtract p from both sides )

0 = 1 ← not possible

Because it makes no sense the equation has no solution

It’s literally not possible to answer, p+5 is = p+6 but we don’t know whatever p equals cannot be equal to +5 and +6.

What is a possible step when solving for x? Select all that apply.
512x+23x=37
A. x = 37
B. x = 6
C. 37x = 6
D. 376x=37
E. 112x+23x=37

THERE ARE 3 ANSWERS!!!

Answers

Answer:

b

d

e

Step-by-step explanation:

9×10 to the power of two is how many times as much as 3×10 to the power of -2

Answers

(9 x 10^2) / (3 x 10^—2) = 3 x 10^4

A cat spends 2/3 of its life asleep. If a cat lives to be 15 years old, how many years di it spend asleep?

Answers

Answer:

10 years

Step-by-step explanation:

You start by writing an equation:

(2/3) * (15) = x

x being how many years it has been asleep.

Then multiply the two numbers together:

x = 10

Answer:

10 years

Step-by-step explanation:

Divide the cats life by the denominator to find how much it sleeps for 1/3 of its life.

15  3 = 5 years

Multiply 5 by the numerator to find how much it sleeps for 2/3 of its life.

5 * 2 = 10 years

Best of Luck!

Write 23%, 36%, 4%, 1%, and 99% as fractions​

Answers

Answer:

23/100

9/25

1/25

1/100

99/100

Step-by-step explanation:

Converted to fractions over 100 and found GCF of denominator and percentage

Answers: 23/100, 36/100, 4/100, 1/100, 99/100.

There are 15 pieces of fruit in a bowl and 9 of them are apples. What percentage of the pieces of fruit in the bowl are apples?

Answers

Answer:

9 divided by 100 = 0.09 x 15 = 1.35 = 13%

PLs mark me brainliest

Answer:

60%

Step-by-step explanation:

You can first convert 9 out of 15 into 9/15. Then, you can find the percent of 9/15, which is 60% :)

~Happy Halloween!~

If you were to describe a reflection of triangle ABC what information would you need to include in your discription

Answers

Answer:

Step-by-step explanation:

You need to add angle of rotation, direction and center of rotation..

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