A former Olympic platform diver had a kinetic energy of 12,300 J prior to hitting the surface. If the divers speed is 17 m/s, what is their mass?

Answer:

A perfect square is an integer that results in another integer when square rooted.

Step-by-step explanation:

For example:

16 is a perfect square because [tex]\sqrt{16}[/tex] = 4.

16 and 4 are both integers

Also, notice that 4 x 4 = 16

Answer:

A perfect square is a number that can be multiplied together by the same numbers/digits/values.

Step-by-step explanation:

Examples:

√25

5 times 5 is 25 thus √25 is a perfect square

√144

12 times 12 is 144 thus √144 is a perfect square

Hope this helps!

Answer:

A) 49x^2-36 km

Step-by-step explanation:

Remember that speed is equal to distance divided by time. Therefore, if you multiply time with speed, then you get the distance traveled.

So, we will do (7x+6) kph multiplied by (7x-6) hours to get 49x^2-36 km.

Answer:

A.

Step-by-step explanation:

Answer:

Logarithms were invented in the 17th century as a calculation tool by Scottish mathematician John Napier (1550 to 1617), who coined the term from the Greek words for ratio (logos) and number (arithmos

Step-by-step explanation:

Answer:

3) 4x-2y (less than) -8

Answer:

Option 3: 4x - 2y < -8

Step-by-step explanation:

Given the graph of a linear inequality with a dashed line as its boundary line:

To start with, since the graph of the line is dashed, this means that the endpoints are not included as solutions.

It will help to choose a test point that is not on the line, and substitute its values into the given inequality statements. Test points are used to verify whether it will satisfy the given inequality statement.  

Let's use the point of origin as our test point, (0, 0). Substitute its values into the linear inequality statements in Options 1 through 3:

4x - 3y > -12

4(0) - 3(0) > -12

0 - 0 > -12

0 > -12 (True statement).  Hence, the half-plane region that contains the test point must be shaded.

Since the point of origin is not a part of the shaded region in the given graph, then it means that the linear inequality in Option 1 is not the correct answer.

x + 4y > 4

(0) + 4(0) > 4

0 + 0 > 4

0 > 4 (False statement). The half-plane region that doesn't contain the test point must be shaded.  Hence, Option 2 may be a valid solution.  

We must transform the given inequality statement into its slope-intercept form, to see whether its slope matches the graph:

x + 4y > 4

x - x + 4y > - x + 4

4y > -x + 4

Divide both sides by 4 to isolate y:

[tex]\displaystyle\mathsf{\frac{4y}{4}>\:\frac{-x\:+\:4}{4} }[/tex]

y > -¼x + 1  ⇒ This is the slope-intercept form, where it has a negative slope of m = -¼.  Hence, Option 2 is not a valid answer, as the graph has a positive slope.

4x - 2y < - 8

4(0) - 2(0) < - 8

0 - 0 < - 8

0 < -8  (False statement). Thus, the half-plane region that doesn't contain the test point must be shaded.  

We must transform the given inequality statement into its slope-intercept form, to see whether its slope matches the graph:

4x - 2y < - 8

4x - 4x - 2y < -4x - 8

-2y < -4x - 8

Divide both sides by -2 to isolate y:

[tex]\displaystyle\mathsf{\frac{-2y}{-2}>\:\frac{-4x\:-\:8}{-2} }[/tex]  

y < 2x + 4  ⇒ This linear inequality statement in slope-intercept form matches the given graph, as its line has a positive slope of 2.

Therefore, the correct answer is Option 3: 4x - 2y < -8.

Answer:

im a teacher sorry not giving answer only hint

explanation:

To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width.

thank you

Answer:

1. divide 1.50 by 3 to get the unit cost of a yard

of ribbon. the ansvwer is .75.

2. you must multiply .75 by 5 to get 3.75 to find the cost of 5 ribbons

Step-by-step explanation:

final answer $30

Answer:

92

Step-by-step explanation:

t+27-19=100

t+8=100

t=100-8

t=92

Hope this helped u...

Answer:

b, or 1b

Step-by-step explanation:

First of all, you have to combine like terms. In this situation though, they are all b. So start at the beginning. 8-9 is -1. -1 - 5 is -6. -6+7 is 1. So you say, b, because it is the same thing as 1 b.

It can be deduced that the price of the trick cameras will be $5 and the price of the snakes will be $6.25.

Based on the information given, the equation to solve the question will be:

3x + 4y = 40 ...... i

7x + 8y = 85 ...... ii

Multiply equation i by 7

Multiply equation ii by 3

21x + 28y = 280

21x + 24y = 255

Subtract the equations

4y = 25

y = 25/4 = 6.25

Since 3x + 4y = 40

3x + 4(6.25) = 40

3x + 25 = 40

3x = 40 - 25.

3x = 15

x = 15/3 = 5

Therefore, the price of the trick cameras will be $5 and the price of the snakes will be $6.25.

Read related link on:

https://brainly.com/question/25771535

Step-by-step explanation:

no solution as √x is a positive value

no solution as √x is a positive value

#1

If square root is over x only x=3²=9

#2

No solutions as -10 is <0

#3

If root is over x only then no solutions

#4

√x=0.1

x=0.01

Answer:

2(n+3)

Step-by-step explanation:

The sum to 3 = n+3

That sum doubled (~twice) = 2(n+3)

Answer:

2(n+3)

Step-by-step explanation:

Let's look at the statement:

'twice the sum of some number and 3'

Twice means 2 multiplied by something.

What is that something? It is the sum of some number and 3.

Let's replace the some number with variable n.

So it becomes the sum of n and 3, which translates to n+3.

So you put the two parts together:

2 multiplied by (n+3), rewritten as 2(n+3).

Answer:

median = 36

Step-by-step explanation:

The median is the middle value of the data arranged in ascending order.

8   19   36   46   56

            ↑ middle value

median = 36

Answer:

3.333 recurring

Step-by-step explanation:

Add and divide for the mean

Answer:

refer to the pic attached for steps

Answer:

Option: B is the correct

Step-by-step explanation:

Step-by-step explanation:

We are given two matrices A and B as follows:

\begin{gathered}A=\left[\begin{array}{ccc}3&0\\2&-1\end{array}\right]\end{gathered}

A=[

3

2

0

−1

]

and

\begin{gathered}B=\left[\begin{array}{ccc}2&8\\0.6&3\end{array}\right]\end{gathered}

B=[

2

0.6

8

3

]

We know that the multiplication of two matrices of the type:

\begin{gathered}A=\left[\begin{array}{ccc}a&b\\c&d\end{array}\right]\end{gathered}

A=[

a

c

b

d

]

and

\begin{gathered}B=\left[\begin{array}{ccc}a'&b'\\c'&d'\end{array}\right]\end{gathered}

B=[

a

′

c

′

b

′

d

′

]

is given by:

\begin{gathered}AB=\left[\begin{array}{ccc}aa'+bc'&ab'+bd'\\ca'+dc'&cb'+dd'\end{array}\right]\end{gathered}

AB=[

aa

′

+bc

′

ca

′

+dc

′

ab

′

+bd

′

cb

′

+dd

′

]

Hence, here we have:

\begin{gathered}AB=\left[\begin{array}{ccc}3\times 2+0\times 0.6&3\times 8+0\times 3\\2\times 2+(-1)\times 0.6&2\times 8+(-1)\times 3\end{array}\right]\end{gathered}

AB=[

3×2+0×0.6

2×2+(−1)×0.6

3×8+0×3

2×8+(−1)×3

]

i.e.

\begin{gathered}AB=\left[\begin{array}{ccc}6+0&24+0\\4-0.6&16-3\end{array}\right]\end{gathered}

AB=[

6+0

4−0.6

24+0

16−3

]

i.e.

\begin{gathered}AB=\left[\begin{array}{ccc}6&24\\3.4&13\end{array}\right]\end{gathered}

AB=[

6

3.4

24

13

]

Answer:

8 in

Step-by-step explanation:

The radius of the tire is 8.00 inches

The given parameters are:

Revolution, r = 100

Distance, d = 5027

Start by calculating the circumference of the tire using:

C = d/r

This gives

C = 5027/100

Evaluate

C = 50.27

The circumerence of a circle is:

C = 2pi r

This gives

2pi r = 50.27

Make r th subject

r = 50.27/2pi

Evaluate the quotient

r = 8.00

Hence, the radius of the tire is 8.00 inches

Read more about circumference at:

https://brainly.com/question/14283575

Answer: O AAS Congruence Theorem is your answer

Step-by-step explanation:   plz give brainliest

Answer:

why didn't nobody answer this its so many points

Step-by-step explanation:

3.5 + 5 + 4 + 8.5 = 21

Answer:

40p / £0.04

Step-by-step explanation:

£3.30 X 10 = £33

£3.30 X 2 = £6.60

£6.60 + £33 = £39.60

£40 - £39.60 = 40p / £0.04

Answer:

3rd option

Step-by-step explanation:

Given z is inversely proportional to (y - 2)² then the equation relating them is

z = [tex]\frac{k}{(y-2)^2}[/tex] ← k is the constant of proportion

To find k use the condition when y = 5, z = 9 , then

9 = [tex]\frac{k}{(5-2)^2}[/tex] = [tex]\frac{k}{3^2}[/tex] = [tex]\frac{k}{9}[/tex] ( multiply both sides by 9 )

81 = k

z = [tex]\frac{81}{(y-2)^2}[/tex] ← equation of proportion

Answer: Look at the picture ⬇️

Answer:

Explanation: The rate of change between two points on a curve can be approximated by calculating the change between two points. Let be the coordinates of the first point and be the coordinates of the second point. Then the formula giving approximate rate of change is

Step-by-step explanation:

calculating the change between two points.

Answer:

2.45 g/cm3

Step-by-step explanation:

It's a cube, so all the side lengths are the same. It's volume is [tex](5cm)^3[/tex] = [tex]125 cm^3[/tex].

At this point, we apply the definition of density [tex]\rho = \frac mV[/tex] where m is the mass and V the volume.[tex]\rho = \frac{306.25g}{125 cm^3} = 2.45 g/cm^3[/tex]

Answer:

-4 1/4

-4 1/4

-3 1/3

-3.3

3

Step-by-step explanation:

Answer:

The answer it's c. Point C

Answer:

a^4

Step-by-step explanation:

First evaluate the quantity inside the parentheses:  (a^(-3)).

Then raise this result to the power -1:

(a^(-3))^(-1) = a^4

Answer:

a^3

Step-by-step explanation:

1/a^-1 a^-2

a^-1a^-2= a^-3

1/a^-3

1/1/a^3

a^3/1

a^3

Answer:

f(x) = - x - 5

Step-by-step explanation:

- x - y = 5 ( multiply through by - 1 )

x + y = - 5 ( subtract x from both sides )

y = - x - 5 , that is

f(x) = - x - 5

Answer:

the required graph is in the attachment.

Step-by-step explanation:

The answer is

1.1%, 0.1, 1/9, 2/11

Step-by-step explanation:

convert the fractions to decimals, the percentage to decimal.

then just order the numbers from smallest to biggest

1/9= 0.11

2/11=0.18

1.1%/100= 0.011