Swimmers best time in event is 53.87 seconds. On average, his best time decreases by 0.28 seconds each of the next five times he swims the event. Does he accomplish his goal of swimming the event in less than 52.5 seconds?

Answers

Answer 1

Answer: Yes. This is because his fifth attempt was 52.47 seconds

Step-by-step explanation:

From the question, we are informed that Swimmers best time in event is 53.87 seconds and that on average, his best time decreases by 0.28 seconds each of the next five times he swims the event.

The time for the fifth time he swim will be:

= 53.87 - 5(0.28)

= 53.87 - 1.4

= 52.47 seconds

This means that he accomplish his goal of swimming the event in less than 52.5 seconds.


Related Questions

What is the equation of the vertical asymptote of h(x)=6log2(x−3)−5?
X=

Answers

Answer:

3

Step-by-step explanation:

i just took the test and put 2 and that was wrong

2n+3 5n-4 work out 2 terms that are in both

Answers

Answer:

(2n 2+5n−4)⋅(n+1)

Step-by-step explanation:

STEP

1:Equation at the end of step 1

 (((4•(n2))+3n)+((2•(n3))-4))+(3n2-2n)

STEP 2:Equation at the end of step 2

 (((4•(n2))+3n)+(2n3-4))+(3n2-2n)

STEP 3:Equation at the end of step 3:

 ((22n2 +  3n) +  (2n3 - 4)) +  (3n2 - 2n)

STEP 4:Checking for a perfect cube

4.1    2n3+7n2+n-4  is not a perfect cube

Hi. I need help with this questions.
See image for question

Answers

Answer:

p = 3, q = 2/3, r = 14/3

Step-by-step explanation:

Given equationy = 3x² - 4x + 6To find

The constants p, q, r when

3x² - 4x + 6 = p(x - q)² + rSolution

The least value is at vertex of the parabola ax² + bx + c, with positive a

x and y -coordinates of the vertex is:

x = -b/2a = - (-4)/(2*3) = 2/3y = 3(2/3)² - 4(2/3) + 6 = 3(4/9) - 8/3 + 6 = 4/3 - 8/3 + 6 = 14/3

The vertex form is:

y = a(x-h)² + k, where (h, k) is the vertex

Applying the same formula to our equation:

3x² - 4x + 6 = 3(x - 2/3) + 14/3

The constants p, q and r are:

p = 3, q = 2/3, r = 14/3

The sum of two numbers is 72, and their difference is 40. Find the numbers.

Answers

Answer:

the answers are 51 and 11

Answer:first number is 51 second number is 11

Step-by-step explanation:

an electrician charges an initial fee of $250 plus and hourly fee of $25. Mr.Scott paid the electrician $400. How many hours did the plumber work

Answers

Answer:

The plumber worked for 6 hours.

Step-by-step explanation:

400-250=150

150/25=6

The function f(x) = x^3 − x + 4, in continuous in the interval [1, 2]. Find the value of ‘x' at which the function takes the value 7. (Hint: Use f(x) = 7)

Answers

Answer:

2

Step-by-step explanation:

Given the function

f(x) = x^3 − x + 4 in the interval [1,2]

We are to find the value of x for which f(x) = 7

Substitute f(x) = 7 into the expression as shown!

f(x) = x^3 − x + 4

7 = x^3 − x + 4

x^3 − x + 4 -7 = 0

x^3 − x - 3= 0

x^3 -x = 3

x(x²-1) = 3

x²-1 = 3 and x = 3

x² = 3+1

x² = 4

x = ±√4

x = ±2

Since x lies within the interval, [1,2] hence the value of x is 2

HELP ME PLEASE!! <3​

Answers

Answer:

Y = 2x + 4

Step-by-step explanation:

The slope (rise / run) is 2 and the y-intercept is 4.

Hope this helps. Pls give brainliest.

In writing a word phrase from an equation, there is only one correct way to do it.
true or false?

Answers

Answer:

False

Step-by-step explanation:

Solve x and y. Plz show work

Answers

Answer:

y = 72°, x = 36°

Step-by-step explanation:

Step 1:

2x + 3x = 180°         Supplementary ∠'s

Step 2:

5x = 180°         Combine Like Terms

Step 3:

x = 180° ÷ 5         Divide

Step 4:

x = 36°      

Step 5:

3x + y = 180°        Supplementary ∠'s

Step 6:

3 ( 36 ) + y = 180°      Input x value

Step 7:

108° + y = 180°       Multiply

Step 8:

y = 180° - 108°         Subtract

Answer:

y = 72°, x = 36°

Hope This Helps :)

Which operation should you perform first in the expression 12×42?

Answers

Answer:

Muitiplication

Step-by-step explanation:

12x42=504

I would perform the multiplication (12 × 16) last.

Unit rate for 321.5 miles in 5 hours

Answers

Answer:

64.3 Per hour

Step-by-step explanation:

If you divide 321.5 miles by 5 you get 64.3 per hour and to check you could times 64.3 by 5 to get 321.5

321.5 / 5 = 64.3

64.3 x 5 = 321.5

Need help with the unit rate and questions!​

Answers

I can’t the picture well enough man
i can’t see the pic bro

How would you find the area of this circle?
9 cm

Answers

Answer:

answer C

Step-by-step explanation:

Answer:

opt B

Step-by-step explanation:

A=pi times radius squared

A=pi times 4.5 squared

4.5 is half of 9

proof 9/2

Expand and simplify (3x-2)^2

Answers

Answer:

The answer is: 9x^2 - 12x + 4

Step-by-step explanation:

Perfect square formula: (a - b)^2 = a^2 - 2ab + b^2 ; a = 3x, b = 2

(3x)^2 - 2 * 3x * 2 + 2^2

Simplify:

9x^2 - 12x + 4

The expanded and simplified form of (3x-2)^2 is 9x^2 - 12x + 4.

To expand and simplify (3x-2)^2, we can use the FOIL method. FOIL stands for First, Outer, Inner, Last and is a systematic way to multiply two binomials.

First, let's square the first term:

(3x)² = 9x²

Next, we multiply the outer terms:

(3x)(-2) = -6x

Then, we multiply the inner terms:

(-2)(3x) = -6x

Finally, we square the last term:

(-2)² = 4

Now, let's combine all the terms:

9x² - 6x - 6x + 4

Combining like terms, we have:

9x² - 12x + 4

So, the expanded and simplified form of (3x-2)² is 9x² - 12x + 4.

To know more about the whole square follow

https://brainly.com/question/30379752

#SPJ6

A fruit punch recipe uses 3/4 cup of carbonated water for every 5 cups of fruit juice. Andy has only 4 cups of fruit juice. To make the same fruit punch, how much carbonated water should Andy use?
A) 3/5 cup
B) 3/10 cup
C)2/3 cup
D) 2/5 cup

Answers

Answer:

3/5 cup

Step-by-step explanation:

I start by changing the initial fraction of 3/4 into its decimal form of .75 so that it's easier to divide. I then divide it by 5 to find how much carbonated water you should use for a single cup of juice, which is .15 cups. Then, I multiply .15 times 4, which comes out to be .6, or 3/5.

Answer:

3/4 cups of carbonated water is needed by Andy to prepare 5 cups of fruit juice that means that he uses

(3/4)/5 = 3/20 cups of carbon. water for one cup of fruit juice for 4 cups he has to use (3/20)4=12/20

or 3/5 cups of carbonated water or in decimal form 0.6 cups

Step-by-step explanation:

There u go

Change to an algebraic expression
Half the sum of p and 9​

Answers

Step-by-step explanation:

1/2 × (p+9) is the algebraic expression.

1/2x(p+9), that’s the equation! Hope this helps! God bless!

Sorry I’m might ask many more questions but I’m trying to finish this tonight so PLS HELP ASAP

Answers

Answer:

14 hours

Step-by-step explanation:

93 / 6 = 15.5 so every hour you drive 15.5 miles

217 / 15.5 = 14 you travel 14 miles overall

Answer :14
Step by step:14

What is the slope of the line represented by the equation 3x+2y=6?

Answers

Make it into y = mx + b
2y = -3x + 6
Divide by 2
Y = -3/2x + 3
The slope is -3/2

SLOPE: negative slope

ANSWER: x = -2/3y + 2

hope this helped

Item 10 The endpoints of the directed line segment AB are A(−1, 2) and B(7, 8). Find the coordinates of point P along AB¯¯¯¯¯¯¯¯ so that the ratio of AP to PB is 1 to 3.

Answers

Answer:

The coordinates of point P along AB is (1,6.5)

Step-by-step explanation:

We shall use the internal division formula to split AB in the ratio 1 to 3

Mathematically, that would be;

(x,y) = (nx1 + mx2)/m + n , (ny2 + my1)/m + n

m = 1 , n = 3

(x1,y1)= (-1,2)

(x2,y2) = (7,8)

(x,y) = (3(-1) + 1(7)/1+3 , (3(8) + 1(2)/1+3

(x,y) = (-3 + 7)/4, (24 + 2)/4

(x,y) = 4/4 , 26/4

(x,y) = (1, 6.5)

What's the equation of the graph shown above?
A) X= -4
B) y = 0
C) x = 2y
D) y= 5

Answers

D because on the Y-axis it’s going to always be 5

Answer:

d

Step-by-step explanation:

whats 3 2/5 divided by 3 1/6?

Answers

Answer:

3 2/5 divided by 3 1/6 = 106/95 = 1 11/95

Step-by-step explanation:

3 2/5 divided by 3 1/6 =

17/5 divided by 19/6 =

17/5 x 6/19 =

106/95 =

1 11/95

what is the location of all the numbers??

Answers

Answer:

Item 1: -3,3.5

Item 2: -3,1

Item 3: -1,-2.5

Item 4: 2.25,-1

Answer:

item 1. (3,3.5 )

item 2. ( 3, 1 )

item 3. (-1 , -2.5)

item 4. ( 2 , -1 )

Step-by-step explanation:

A rectangle has a length that is 7 inches less that twice it's width. The area of the rectangle is 72 square inches. Write an equation that represents this solution.

Answers

Answer: [tex]2x^2-7x=72[/tex] , where  x= width of the rectangle ( in inches).

Step-by-step explanation:

Let x= width of the rectangle ( in inches).

Then its length =  2x-7 ( in inches).

Area of rectangle = Length × width

= (2x-7) × (x)

= 2x × x -7 ×x

= 2x²-7x

The area of the rectangle is 72 square inches.

[tex]\Rightarrow\ 2x^2-7x=72[/tex]

Hence, the equation that represents the given situation :

[tex]2x^2-7x=72[/tex]

guys what is 91u4y27i3uhn b n cnbvvfhhhhhggggggg 0fes

ok bye

Answers

Answer:cxwqashujk

Step-by-step explanation:

ROC and intro to slopes guided notes:
This graph represents the linear relationship between time and distance for both Car 1 and Car 2.
Slope of Car 1 = 1 Speed of Car 1 = 1 mi
min
Speed of Car 2 = 1 mi 2 min
How can you determine by looking at the graph which car is moving at a faster rate? The the line, the the slope.
Car 1 is moving at a speed than car 2.

Answers

Answer:

Step-by-step explanation:

The steeper the line (graph), the greater the slope and the greater the speed of that particular car.  It is instantly obvious that of the two lines shown, the yellow graph has the greater slope and thus the greater speed.

"The steeper the line, the greater the slope(speed).  "Car 1 is moving at a speed than car 2."

Answer:

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Step-by-step explanation:

9 1/5 into an improper fraction

Answers

Answer:

46/5 hope it helps!

Step-by-step explanation:

9x5= 45

45+1= 46

46/5

A circular garden has a radius of 3 meters. What is the area of the garden? Write your answer using π. Show your work.

Answers

Answer: 9[tex]\pi[/tex]

Step-by-step explanation:

Sorry the pi sign looks weird. The formula for area of a circle is [tex]a=\pi r^2[/tex], so we have to substitute the radius with 3. The square of 3 is 9, so the answer is 9pi.

Hi. I need help with these questions. (See image for question).
Answer only (e) and (f)

Answers

i solved the last 3 d is extra

HELP ME NOWWWWWsNNNNNNNNN

Answers

Answer:

h

Step-by-step explanation:

What is 60% of 90? *

Answers

Answer:

54

Step-by-step explanation:

You can use the short cut 0.6 * 90 ( * is another symbol for the multiplication symbol) this works differently for different numbers. If your percent is one digit, like 3%, you want to change it into the decimal 0.03. The reason why you multiply them together is because “of” is another word for multiply in math terminology.

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