Five swimmers are entered into a competition. Four of the swimmers have had their
turns. Their swim times are 9.8 s, 9.75 s, 9.79 s, and 9.81 s. What time must the last
swimmer get in order to win the competition?

Answer:

  1.5 seconds

Step-by-step explanation:

The height equation is supposed to be ...

  h(t) = -16t^2 +22t +3

We want to find the positive value of t where h(t) = 0.

  0 = -16t^2 +24t -2t +3 . . . . facilitate factoring

  0 = -8t(2t -3) -1(2t -3) . . . . . factor by pairs

  0 = -(8t +1)(2t -3) . . . . . . . .  complete the factoring

The solutions to this are ...

  t = -1/8, 3/2

The ball will reach the ground in 1.5 seconds.

Answer:

A = $32316.30

Step-by-step explanation:

Simple Interest Rate Formula: A = P(1 + r)ⁿ

Step 1: Define variables

Principal amount P = 27200

Rate r = 9% or 0.09

Number of years n = 2 years

Step 2: Substitute and Evaluate for A

A = 27200(1 + 0.09)²

A = 27200(1.09)²

A = 27200(1.1881)

A = 32316.30

Answer:

y- intercept = 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 4x + 4 ← is in slope- intercept form

with y- intercept c = 4

Answer:

d

Step-by-step explanation:

Answer:B and E

Step-by-step explanation:

Given that the sum of 3 consecutive even integers is 36, we can define the variables to be:

And we can set up the equation as:

[tex]\sf {N + (N + 2) + (N + 4) = 36} \\ \sf{\longrightarrow 3N + 6 = 36} \\ \sf{\longrightarrow 3N = 30} \\ \sf{\longrightarrow N = 10}[/tex]

The first even number which we assumed was N, which is equal to 10.

And hence the answer will be

[tex]\leadsto \underline{\boxed{\sf{\pink{\quad10\quad}}}}[/tex]

Verification:

3 consecutive even no.s :

Their sum = 10 + 12 + 14 = 36

Hence, N = 10 is the solution of the question.

Answer:

(SEE EXPLANATION FIRST)

Answer D is TRUE because on the graph if you were to keep going left even after the picture of the graph ends, the graph will still keep going up infinite

Step-by-step explanation:

If this is the graph you can read the answer

Answer:

A.

As the x-values go to positive infinity, the function's values go to negative infinity.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side c

Using Pythagoras theorem we have

c² = b² + a²

where

c is the hypotenuse

So we have

[tex] {c}^{2} = {5}^{2} + {3}^{2} \\ c = \sqrt{ {5}^{2} + {3}^{2} } \\ c = \sqrt{ 25 + 9} \\ c = \sqrt{34} \: \: \: \: \: \: \: \: \\ = 5.83095189...[/tex]

We have the final answer as

Hope this helps you

Answer:

The answer is -24

Step-by-step explanation:

Because she was 4 feet above to begin with so 4-28=-24

Answer:

Step-by-step explanation:

In order to find the magnitude of the car's final displacement (resultant displacement vector), we need the x and y components of each part of the car's journey. We will call them vector A and vector B. The info for the vectors is as follows:

A: magnitude 32 at an angle of 90.0

B: magnitude 46 at an angle of 40.0

The x components are found in the formula

A(x) = magA*cos(angle)

For A(x):

A(x) : 32cos(90.0) = 0.0 and

For B(x) : 46cos(40.0) = 35.2

For A(y): 32sin(90.0) = 32 and

For B(y): 46sin(40.0) = 3.0 × 10¹

To get the x components of the final vector, add the x components of A and B together:

C(x) : 0.0

       35.2

       35.2

To get the y components of the final vector, add the y components of A and B together:

C(y) :  32

         30

         62

Now to get the magnitude, throw it into the magnitude formula, which is identical to Pythagorean's theorem:

C(mag) = [tex]\sqrt{(35.2^2)+(62^2)}=71.3 km[/tex]

Answer:

y = 5x - 7

Step-by-step explanation:

First point coordinates

x₁

2

y₁

3

Second point coordinates

x₂

-1

y₂

-12

Result

Slope (m)

5

m = -15 / -3 = -5 / -1 = 5

Your function

The entered points belong to an increasing, linear function.

Equation: y = 5x - 7.

Hope i helped :)

Answer: it is B. 5n + m

Step-by-step explanation: it is because 5 is not being multiplied by anything so it is incorrect.

The answer is B

Give thanks to this if ur from the UK

Probaly you all are American

Answer:

v <−1/2 or v >4

Answer:

mxv

Step-by-step explanation:

2.0x2.8=5.6

momentums equation is mass times velocity so 2.0kg is the mass and you multiply it by the velocity which is 2.8m/s and that is how you get your answer. your answer is number 3

Answer:

Part 1) The value of x is 21

Part 2 The value of y is 8

Step-by-step explanation:

step 1

Find the value of x

we know that

------> by supplementary angles (linear pair)

step 2

Find the value of y

we know that

 ----> by vertical angles

substitute the value of x and solve for y

Answer:

-1/2 this is the answer

Answer:

A 72$

and a good day

Answer:

72

explanation:

Just took the test

Answer:  59

Step-by-step explanation:

 +52 + 17 - 10

=       69   - 10

= 59

                        [tex]\huge\boxed{Your\;answer\;is\;59!}[/tex]

First, let's add [tex]52[/tex] and [tex]17[/tex].

[tex]52+17=69[/tex].

Next, we subtract [tex]10[/tex].

[tex]69-10=59[/tex].

Therefore, our final answer is [tex]59[/tex].

Answer: 4

Step-by-step explanation:

There are more than one 4

Answer:

ok

Step-by-step explanation:

7/8 cups of sauce are needed to make 1 pizza.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Domino's can make 4 pizzas using 3 1/2 cups of sauce.

Now, for 1 pizza he needed

= (3 1/2) /4

= (7/2)/ 4

= 7/2 x 1/4

= 7/8 cups of sauce.

Hence, 7/8 cups of sauce needed.

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ2

Answer:

x=5or x=1/3

Step-by-step explanation:

x/r + x/w + x/t = 1

x (1/r + 1/w + 1/t) = 1

x = 1 / (1/r + 1/w + 1/t)

To make the solution a bit cleaner, multiply through the numerator and denominator by the LCM of each fraction's denominator, rwt :

x = 1 / (1/r + 1/w + 1/t) • rwt / rwt

x = rwt / (rwt/r + rwt/w + rwt/t)

x = rwt / (wt + rt + rw)

Answer:

139 quarts

Step-by-step explanation:

Answer:

The mechanic would use 139 quarts for the 17 cars.

Answer:

y = -2x+8

Step-by-step explanation:

First find the slope

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

    = ( -4-4)/(6-2)

    = -8/4

   = -2

The slope is -2

We can use the slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = -2x +b

Using the point ( 2,4)

4 = -2(2) +b

4 = -4+b

Add 4 to each side

4+4 = -4+4+b

8 = b

y = -2x+8

Answer:

-3 is the integer

4 would be greater than -3

Answer:

2=x

Step-by-step explanation:

-20=-4x-6x  combine -4x+(-6x)

-20=-10x   divide by -10

2=x

Answer:

answer is 2

Step-by-step explanation:

-20=-4x-6x  combine like terms

-20=-10x   divide

2=x

Answer:

not necessarily

Step-by-step explanation:

Answer:

by moving x's onto one side and the constants to the other

Step-by-step explanation:

hope that helps

Answer:

x=3

Step-by-step explanation:

2(-x + 4) – 3x + 2 = -5

-2x+8-3x+2=-5

-5x+10=-5

-5x=-15

x=3