Five runners are entered into a competition. Four of the runners have had their turns. Their
completing times are 7.4 s, 7.75 s, 7.09 s, and 7.86 s. What time must the last runner get in order to win
the competition?

Answers

Answer 1

Answer:

Just writing anything above these numbers

Step-by-step explanation:

Answer 2

Answer:

let t be winning time     t < 7.09 seconds

Step-by-step explanation:

let's first order the times from least to greatest:

7.09, 7.40, 7.75, and 7.86

Now, in order to have the winning time, the last runner must have a time less than the fastest runner so far. So, the winning time is less than 7.09 seconds.

Make sure to add units. I know that my teachers are REALLY picky about that, though yours may not care.


Related Questions

I Need to solve it brainliest

Answers

Answer:

h(-5) = (-2)^2 + 5 = 9

h(-1) = (2)^2 + 5  = 9

(9-9)/4 = 0

average rate of change is 0

Step-by-step explanation:

any advice on geometry

Answers

Answer:

Just study and pay attention in class and take good notes. I would say that you should pay more attention when they teach you the trigonometry unit.

an appliance repair p person charges 55 per trip plus 15 per hour for her labor. the cost of fixing a stove was 92.50. write and solve an equation to find how many hours it took to repair the stove​

Answers

(92.50-55)/15 =2.5 hours

Step-by-step explanation:

92.5 (total) -55 (trip charge) = 37.50(hour charge)

37.50(hour charge)/15{per hour charge)=2.5(hours)

The midpoint m of gh has coordinates ( -5, -4) point h has coordinates (-4, -7) find the coordinates of point g

Answers

Answer:

Step-by-step explanation:

The midpoint formula is

[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex] and we have the coordinates of the midpoint and the coordinates of one endpoint. Filling that in we have:

[tex](-5,-4)=(\frac{-4+x_2}{2},\frac{-7+y_2}{2})[/tex] and we will solve for the missing values one at a time. x first:

[tex]-5=\frac{-4+x_2}{2}[/tex] and

-10 = -4 + x₂ so

-6 = x₂ and do the same for y:

[tex]-4=\frac{-7+y_2}{2}[/tex] and

-8 = -7 + y₂ so

-1 = y₂

Thus, the coordinates of point g are (-6, -1)

what is 15% of 71.40$

Answers

Answer:

10.71

Step-by-step explanation:

0.15*71.40

7(3w-3)=-12
HURRY PLEASE

Answers

Answer:

3/7

Step-by-step explanation:

21w - 21 = -12

21w = -12 +21

21w = 9

w = 9/21

i.e w= 3/7

Step-by-step explanation:

21w-21= -12

21w= -12 + 21

w=9/21

Find the sum: -7.5 + (-7.6)
Help me pls someone!!

Answers

Answer:

-15.1

Step-by-step explanation:

Two negative numbers add the same way as positive numbers, so it is -(7.5 + 7.6) or -15.1.

Write a multiplication expression without exponents that is equivalent to 3^3.

Answers

Hi! I'm happy to help!

This expression is an exponent, or repeated multiplication. 3^3 is three multiplied by itself (3), 3 times, or 3×3×3

So, our non-exponent expression will be 3×3×3.

I hope this was helpful, keep learning! :D

13. Write
y = 2x^2 -12x+16 in vertex form.

Please show work if possible so I know how to do it

Answers

First off, we factor out the expression:

[tex] \displaystyle \large{y = 2 {x}^{2} - 12x + 16} \\ \displaystyle \large{y = 2 ( {x}^{2} - 6x + 8) }[/tex]

In the bracket, separate 8 out of the expression.

[tex] \displaystyle \large{y = 2[ ( {x}^{2} - 6x + 8)] }\\ \displaystyle \large{y = 2[ ( {x}^{2} - 6x) + 8]}[/tex]

In x^2-6x, find the third term that can make up or convert it to a perfect square form. The third term is 9 because:

[tex] \displaystyle \large{ {(x - 3)}^{2} = {x}^{2} - 6x + 9}[/tex]

So we add +9 in x^2-6x.

[tex] \displaystyle \large{y = 2[ ( {x}^{2} - 6x + 9) + 8]}[/tex]

Convert the expression in the small bracket to perfect square.

[tex] \displaystyle \large{y = 2[ {(x - 3)}^{2} + 8]}[/tex]

Since we add +9 in the small bracket, we have to subtract 8 with 9 as well.

[tex] \displaystyle \large{y = 2[ {(x - 3)}^{2} + 8 - 9]} \\ \displaystyle \large{y = 2[ {(x - 3)}^{2} - 1]}[/tex]

Then we distribute 2 in.

[tex]\displaystyle \large{y = 2[ {(x - 3)}^{2} - 1]} \\ [/tex]

[tex]\displaystyle \large{y = 2[ {(x - 3)}^{2} - 1]} \\ \displaystyle \large{y = [2 \times {(x - 3)}^{2} ]+[ 2 \times ( - 1)] } \\ \displaystyle \large{y = 2 {(x - 3)}^{2} - 2 }[/tex]

Remember that negative multiply positive = negative.

Hence the vertex form is y = 2(x-3)^2-2 or first choice.

write an equation in slope-intercept form for the line described. passes through (12,0) and is parallel to y=-1/2x-3

Answers

Answer:

y = -1/2x + 6

Step-by-step explanation:

The slope of a parallel line will remain the same. The only thing that is different is the y-intercept but we can solve that using the point given, the slope, and the slope intercept form equation [ y = mx + b ].

0 = -1/2(12) + b

0 = -6 + b

6 = b

Now input the data we were given and solved for back into the formula.

y = -1/2x + 6

Best of Luck!

Can someone please help me with this? You've gotta prove that x=8 in a table graph thing. ​

Answers

Answer:

AB= AC+CB

50 = (2x – 2 ) + 4(x+1)

50 = (2x – 2) + ( 4x+4)

50 = 6x +2

6x = 50 – 2

6x = 48

x= 48/6

x= 8

So; x=8 Q.E.D.

I hope I helped you^_^

Expand the following:
a).
[tex]8(x - 2y)[/tex]
b).
[tex] \frac{6a + 18b - 12c}{6} [/tex]

Answers

Answer:

8x-16y

Step-by-step explanation:

b.6a/6+18b/6-12c/6

Answer:

8x - 16y and a + 3b - 2c

Step-by-step explanation:

(a)

8(x - 2y) ← multiply each term in the parenthesis by 8

= 8x - 16y

(b)

[tex]\frac{6a+18b-12c}{6}[/tex] ← factor out 6 from each term in the numerator

= [tex]\frac{6(a+3b-2c)}{6}[/tex] ← cancel the 6 on numerator/ denominator

= a + 3b - 2c

what is
(3-5i)-(7-8i)

Answers

The answer for your problem is -4 + 3 i

What number would that be??

Answers

That would be 0.026 — I don’t know if you need units, so I’m just guessing that it doesn’t need units.

Mr Guru bought a second hand bike for rupees 125200 he Spent rupees 5302 repair it at what price should he sell it to gain 5% on his total investment​

Answers

Answer:

137027.1 Rupees

Step-by-step explanation:

(125200+5302) * 0.05 = 6525.1

130502+6525.1 =  137027.1

Cant figure this one out help please!

Answers

Answer:x+20

Step-by-step explanation:

Help anyone can help me do this question,I will mark brainlest.​

Answers

Your answer is in the attachment .

Note: I have only done upto q.n d because you haven't clearly uploaded question of no. e. stay blessed !!!!!!

Integration as the Inverse of Differentiation, Integration of ax" and Integration of the Functions of the Sum or Difference of Algebraic Terms
For each of the following, find f(x).
(a) f'(x) = x³ + 4x -1 1
(b) f'(x) = 1/2x² + root x
(c) f'(x) = 3x - 4 / 2x³

Answers

Answer:

The answer is in the image above

Answer:

Step-by-step explanation:

The antiderivative for b is definitely incorrect, as stated in the comments section.

[tex]\int\limits {\frac{1}{2x^2}+\sqrt{x} } \, dx \\\frac{1}{2} \int\limits{\frac{1}{x^2} } \, dx+\int\limits {x^{\frac{1}{2}} } \, dx[/tex]  That's a bit more simplified. One more important simplification and then we can integrate one term at a time:

[tex]\frac{1}{2}\int\limits{x^{-2}} \, dx +\int\limits{x^{\frac{1}{2} } \, dx[/tex]  and here we go:

[tex]\frac{1}{2}(\frac{x^{-2+1}}{-2+1})+(\frac{x^{\frac{1}{2}+\frac{2}{2}} }{\frac{1}{2}+\frac{2}{2} })+C[/tex] and

[tex]\frac{1}{2}(\frac{x^{-1}}{-1})+(\frac{x^{\frac{3}{2}} }{\frac{3}{2} })+C[/tex] and finally,

[tex]-\frac{1}{2x}+\frac{2}{3}x^{\frac{3}{2}}+C[/tex]

Tutorial Charlie is planning a trip to Madrid. He starts with $984.20 in his savings account and uses $381.80 to buy his plane ticket. Then, he transfers 1 4 of his remaining savings into his checking account so that he has some spending money for his trip. How much money is left in Charlie's savings account?

Answers

Answer:

$150.60

Step-by-step explanation:

$984.20-$381.80= $602.40

Take $602.40 and divide by 4 which equals $150.60 which is the 1/4 $ Charlie has in his savings account.

Insert grouping symbols to make each number sentence true 3+8-2*5=45

Answers

Insert grouping symbols to make each number sentence true 3+8-2*5=45

Answer:

3+2+8×5

Pls help on the top question

Answers

Answer:

-13=5×1+5×4m-2m

-13=5+20m-2m

-13-5=18m

-18=18m

18m=-18

m=18÷18

m=1

Answer:

[tex]\frac{55}{4}[/tex]

Step-by-step explanation:

let the number be n the multiply by - 4 is - 4n and add 5 gives

- 4n + 5 = - 50 ( subtract 5 from both sides )

- 4n = - 55 ( divide both sides by - 4 )

n = [tex]\frac{-55}{-4}[/tex] = [tex]\frac{55}{4}[/tex]

The number is [tex]\frac{55}{4}[/tex] or 13.75 if you prefer

Sarah has 5 peppermints. Chase has p fewer peppermints than Sarah. Write an expression that shows how many peppermints Chase has.

Answers

5-p i think? How many peppermints are there in actual?

Which expression represents the number of sides in the polygon for the nth member of the sequence?
A) n+2
B) 2n + 1
C) 4n-3
D) 3n+2

Answers

Answer:

The answer is n+2.

Step-by-step explanation:

I hope U like my answer and my answer helped U....

Answer:

n+2 represemts the number of sides in the polygon for the nth member of the sequence

Which of the following is the equation for the line of symmetry in this figure?

Answers

The line of symmetry is horizontal through -2 on y-axis.
y = -2

Shawn says that 3.22 is a rational number. Leah says 3.22 is a repeating decimal. Who is correct and why?

Answers

Answer:

Hi, There! Leah Is Correct

Step-by-step explanation:

A fraction is a repeating decimal if the prime factors of the denominator of the fraction in its lowest form do not only contain 2s and/or 5s or do not have any prime factors at all.

____________________________________________________________

-Darkspirit-

Answer:

Both are correct.

Step-by-step explanation:

Repeating decimals are rational.

final grades are often computed using weighted averages. Some college professors Us complicated weighted averages. Your college professor tells you he will give a 33%-67% split on grades between test and homework where whichever average is higher will be 67%. What will your final grade be if your homework average is 78 and your test average is 79?

Answers

Answer:

Your final grade will be 78.67 %

Step-by-step explanation:

67% of your grade will be from your test average which is 79 (higher)

33% of your grade will be from your homework average which is 78.

Calculating:

(67×79+33×78) / (67+33) = 7867 / 100 = 78.67

Solve for c:
9x + 72°
4x + 112°

Answers

Answer:

x = 8

Step-by-step explanation:

9x + 72° = 4x + 112°

112° - 72° = 9x - 4x

40 = 5x

x = 40/5

x = 8

HELP ASAP!!!!!!!!!

Ollie is investing $15000 in an account that earns 4.75 simple interest. About how many years will it take to have a balance of $23550 his account?

Answers

Answer:

Step-by-step explanation:

23550=15000(1+.0475t)

t=12

If AB=2x BC=x+20 and AC=50 what is the value of x

Answers

Answer:

x = 10

Step-by-step explanation:

AC = AB + BC

Substitute the values for the line segments:

50 = (2x) + (x + 20)

50 = 2x + x + 20

Combine like terms:

50 = 3x + 20

Subtract 20 from both sides:

30 = 3x

Divide both sides by 3:

10 = x

Check your work:

50 = 2(10) + 10 + 20

50 = 20 + 30

50 = 50

Correct!

A certain forest covers an area of 5000 km². Suppose that each year this area decreases by 5%. What will the area be after 10 years?
Use the calculator provided and round your answer to the nearest square kilometer.

Answers

Answer:

The forest will cover an area of approximately 2994 square kilometers after 10 years.

Step-by-step explanation:

A forest covers an area of 5000 square kilometers. Each year, the area of the forest decreases by 5%. We want to determine its area after 10 years.

We can write an exponential function to represent the situation. The standard exponential function is given by:

[tex]\displaystyle f(x) = a(r)^x[/tex]

Where a is the initial value, r is the rate, and x is the time that has passed (in this case in years).

Since the original area is 5000 square kilometers, let a = 5000.

Each year, the area decreases by 5%. In other words, for each subsequent year, the forest's area will be 100% - 5% = 95% = 0.95 of its previous year. Hence, r = 0.95.

Thus, our function is:

[tex]\displaystyle f(x) = 5000(0.95)^x[/tex]

Then after 10 years (x = 10), the area will be:

[tex]\displaystyle f(10) = 5000(0.95)^{(10)}= 2993.6846...\approx 2994\text{ km}^2[/tex]

In conclusion, the forest will cover an area of approximately 2994 square kilometers after 10 years.

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