All categories

3 years ago

A 54-kg jogger is running at a rate of 3 m/s. What is the kinetic energy of the jogger? A. 18 J B. 81 J C. 162 J D. 243 J

Mathematics

2 answers:

Mrrafil [7]3 years ago

5 0

Answer:

The answer would be be D.243 j

Step-by-step explanation:

Wewaii [24]3 years ago

4 0

$\displaystyle\bf\\\text{\bf kinetic energy}=\frac{mv^2}{2}=\frac{54\times3^2}{2}=27\times9=\boxed{\bf243~J} \\\\\text{\bf Correct answer: D.}$

You might be interested in

Does anyone know how to do this help please

statuscvo [17]

Answer:

$\boxed{\begin{array}{c|c|c|c|c|c|c|c} \bf x &\rm -3 &\rm -2 &\rm -1 &\rm 0 &\rm 1 &\rm 2 &\rm 3 \\\\ \bf y & \rm 0 &\rm -4 &\rm -6&\rm -6 &\rm -4&\rm 2 &\rm 6 \end{array}}$

Step-by-step explanation:

A quadratic function is given to us . And we need to fill out the table by using the function . The given function is ,

$\rm\implies y = x^2+x - 6$

Here we need to substitute the different values of x , to get the different values of y.

Put x = -3 :-

$\rm\implies y = 3^2-3-6\\$

$\rm\implies y = 9 - 3 - 6 \\$

$\rm\implies y = 0$

Put x = -2 :-

$\rm\implies y = 2^2-2-6\\$

$\rm\implies y = 4 -2-6\\$

$\rm\implies y = -4$

Put x = -1 :-

$\rm\implies y = -1^2-1-6\\$

$\rm\implies y = 1 -1-6 \\$

$\rm\implies y = -6$

Put x = 1 :-

$\rm\implies y = 1^2+1-6\\$

$\rm\implies y = 2 -6$

$\rm\implies y = -4$

Put x = 2 :-

$\rm\implies y = 2^2+2-6\\$

$\rm\implies y = 4 +2-6\\$

$\rm\implies y = 2$

Put x = 3 :-

$\rm\implies y = 3^2+3-6\\$

$\rm\implies y = 9 +3-6\\$

$\rm\implies y = 6$

Final table :-

$\boxed{\begin{array}{c|c|c|c|c|c|c|c} \bf x &\rm -3 &\rm -2 &\rm -1 &\rm 0 &\rm 1 &\rm 2 &\rm 3 \\\\ \bf y & \rm 0 &\rm -4 &\rm -6&\rm -6 &\rm -4&\rm 2 &\rm 6 \end{array}}$

7 0

2 years ago

Find the 8th term of the geometric sequence 5, -15, 45

FrozenT [24]

Answer:

a₈ = - 10935

Step-by-step explanation:

the nth term of a geometric sequence is

$a_{n}$ = a₁ $(r)^{n-1}$

where a₁ is the first term and r the common ratio

here a₁ = 5 and r = $\frac{a_{2} }{a_{1} }$ = $\frac{-15}{5}$ = - 3 , then

a₈ = 5 × $(-3)^{7}$ = 5 × - 2187 = - 10935

6 0

1 year ago

Together teammates pedro and ricky got 2685 base hits last season. Pedro had 277 more than ricky. How many hits did each player

Ksju [112]

Let x be the number of base hits Ricky got. With this representation, the number of base hits Pedro got is x + 277. The sum of their number of hits is equal to 2685. The equation that best represent the scenario is,
x + x + 277 = 2685
The value of x is 1204. Therefore, Ricky got 1204 and Pedro got 1481.

3 0

2 years ago

Geena is meeting her brother at a cafe on Bradford Rd and Blanco Rd. She is currently on the corner of Lafayette Ave. And Blanco

ss7ja [257]

Answer:

Step-by-step explanation:

8 0

2 years ago

I need to simplify this

Korvikt [17]

Hi there!

$3 \sqrt{54} + 2 \sqrt{24} =$
First we split up the square root into two parts.

$3 \times \sqrt{9} \times \sqrt{6} + 2 \times \sqrt{4} \times \sqrt{6} =$
Now we calculate the value of the square roots which have an integer as a solution

$3 \times 3 \times \sqrt{6} + 2 \times 2 \times \sqrt{6} =$
Multiplying the integers gives us our next step.

$9 \sqrt{6} + 4 \sqrt{6} =$
And finally we add up the roots.

$13 \sqrt{6}$

3 0

3 years ago