Answer:
[tex]\boxed {\boxed {\sf 750 \ Joules}}[/tex]
Step-by-step explanation:
Kinetic energy can be found using the following formula.
[tex]E_k=\frac{1}{2}mv^2[/tex]
where m is the mass and v is the speed.
We know this is a15 kilogram mass moving with a speed of 10 meters per second. Therefore:
[tex]m= 15 \ kg \\v= 10 \ m/s[/tex]
Substitute the values into the formula.
[tex]E_k=\frac{1}{2}(15 \ kg)(10 \ m/s)^2[/tex]
Solve the exponent first.
(10 m/s)²= 10 m/s* 10 m/s= 100 m²/s²[tex]E_k=\frac{1}{2}(15 \ kg)(100 \ m^2/s^2)[/tex]
Multiply 100 m²/s²and 15 kg.
[tex]E_k=\frac{1}{2}(1500 \ kg*m^2/s^2)[/tex]
Multiply by 1/2 or divide by 2.
[tex]E_k= 750 \ kg*m^2/s^2[/tex]
1 kilogram square meter per square second is equal to 1 Joule. Our answer of 750 kg*m²/s² is equal to 750 J[tex]E_k= 750 \ J[/tex]
The kinetic energy is 750 Joules.
Engineers are playing a new bridge to cross a small river. Surveyors created the diagram to show where the bridge across the river.
What is the distance across the river where the new bridge will be built?
A. 36 feet
B. 56.25 feet
C. 100 feet
D. 101.25 feet
Answer:
I believe it was B.
Step-by-step explanation:
PLEASE HELP! A chemist is estimating the volume of a solution in a test tube. The actual volume of the solution is 33.4 ml. The chemist's estimate is 35 ml.
Find the absolute error and the percent error of the chemist's estimate. If necessary, round your answers to the nearest tenth.
Absolute error is actual- estimate=33.4-35=-1.6 that in percent can be found using a rule of three, we say that 33.4 is the 100% and we find the % for -1.6
33.4ml -------- 100%
-1.8ml-----------x
x=(-1.8)(100)/33.4
x=-5.4
the percentage error is -5.4%
write a story to represent the equation 1/2÷3 solve the equation and complete the story
Answer: ↓↓
Step-by-step explanation:
Fred, Ben, and George bought a pizza. George's sister and her friends ate some of the pizza, they left 1/2 of the whole pizza. Fred decided that they should share the remaining pizza equally. How much of the pizza will they each get?
1/2 ÷ 3 = 1/6
The three boys will each get 1/6 of the pizza.
Hope this is good! :3
Do all of them for cookie idek
Step-by-step explanation:
slope.
1.2x
2.-x
3.1/4x
4.6x
5.3/4x
y intercept:
1.4
2.-2
3.1
4.12
5.1/2
If f(x) = x2 + 1 and g(x) = x - 4, which value is equivalent to (fºg)(10)?
Answer:
2x - 3..... 2*10 - 3 = 17
Step-by-step explanation:
Fog) = g(fx)) = f(x) - 4 => 2x - 3
Answer:
37
Step-by-step explanation:
Substitute x = 10 into g(x), then substitute the result into f(x)
g(10) = 10 - 4 = 6 then
f(6) = 6^2 + 1 = 36 + 1 = 37
The price of shares of Nadir Explorations Ltd. fell by 76% in the past year, to the current price of $0.45 per share. In dollars and cents, how much did the price of each share drop in the past year?
Answer:
$0.342 ; 34.2 cents
Step-by-step explanation:
Given that:
Share price fell by 76% in past year :
current price per share = $0.45
Drop in price of share in past year :
76% of current price
0.76 * $0.45
= $0.342
Price dropped by $0.342 per share
In cent, 0.342 * 100 = 34.2 cents
What type of number is -296.2i
it is a negetive integer
HOPE THIS HELPS
PLEASE MARK ME AS BRAINLIEST.
Given the function y=2x and the domain (-1, 0, 1, 2), the corresponding range is (-2,
0.2, 6).
True
False
an one hour mathematcis class ks divided up into the schedule shown jn the table below how many mintyee of class are allowed for independent pratice?
Answer:
i got 15
Step-by-step explanation:
On what interval(s) of x does f have positive concavity?
On what interval(s) of x does f have negative concavity?
Answer:
Step-by-step explanation:
Concavity of a quadratic function is determined the leading coefficient.
If the leading coefficient is positive, graph will entirely concave upwards.
If the leading coefficient is negative, graph will concave downwards entirely.
So in the interval (-∞, ∞) function has the positive concavity.
There is no interval in which the given function has the negative concavity.
6 is _______________ % of 30. fill in the blank
Answer:
6 is 20% of 30
Step-by-step explanation:
6 × 5 = 30
take one of the five parts and you get 20% of the full product
7 1/2 / (4 1/2 - 5 1/8) =
Answer:
-4 11/16
Step-by-step explanation:
Somebody please help me :(
Find the percent change from the first value to the second. 32; 56
Answer:
75%
Step-by-step explanation:
Percentage change = (change) ÷ (first value) × 100
Change = second value - first value = 56 - 32 = 24
∴ Percentage change = [tex]\frac{24}{32} * 100 =[/tex] 75%
1 3/8 minus 1/2 thanks
Answer:
0.833
Step-by-step explanation:
Find the length of side x in simplest radical form with a rational denominator
Answer:
rggsktvvg gggggggggggg yyyhhhhg
Write the ratio of 3/5 miles to 1/2 miles as a fraction in simplest form
Answer:
Three over Ten
Find the missing side lengths. WILL GIVE BRAINLIEST
which is the correct answer?
(Note): (If you give a silly or absurd answer I will report you)
Answer:
lolooollollolololo-
jk
The answer is
J) 334.06
Step-by-step explanation:
We know the rate is 1.5 inch an hour
So 1.5*2.54 is 3.81
Now 3.81 cm every hour
24 hours a day
3.81*24=91.44
Now 91.44 cm A day
1 Year or 365 days
91.44*365= 33375.6cm a year
now we also need to add the extra 12 inches in the beginning
12*2.54=30.48cm
Now add those 2
33375.6+30.48= 33406.08
now the answer asked for meters so we divide 33406.09/100
you’ll get 334.06 or J
J) 334.06
This is your answer
The kittens, Annie and Josie, are pushing a ball, Annie with a force magnitude of 80 N in a direction of 133 degrees, and Josie with a magnitude of 95 N in a direction of 290 degrees. If a third cat wants to prevent the ball from moving, with what magnitude and direction of force must she push?
Answer: Then the magnitude of the force is 37.86N, and the direction is 54.35°
Step-by-step explanation:
We can write the forces as vectors.
We know that Annie pushes with a magnitude of 80N in a direction of 133° (Remember that the angles are always measured from the x-axis)
The components of this force, (Ax, Ay), are then:
Ax = 80N*cos(133°)
Ay = 80N*sin(133°)
And we know that Josie pushes with a magnitude of 95N in direction of 290°
The components of this force, (Jx, Jy), are:
Jx = 95N*cos(290°)
Jy = 95N*sin(290°)
When we add these forces, the total force acting on the ball is:
F = (80N*cos(133°) , 80N*sin(133°)) + (95N*cos(290°), 95N*sin(290°))
F = (80N*cos(133°) + 95N*cos(290°), 80N*sin(133°) + 95N*sin(290°))
Now, the third kitten wants to do a force K, in a direction θ, such that the net force acting on the ball is zero.
Then we must have that, each component of the force of the third cat (K*cos(θ) on the x-axis and k*sin(θ) on the y-axis), is such that:
K*cos(θ) + 80N*cos(133°) + 95N*cos(290°) = 0
k*sin(θ) + 80N*sin(133°) + 95N*sin(290°) = 0
Now we need to solve that system for k and θ
if we simplify the equations we get:
k*cos(θ) - 22.07N = 0
k*sin(θ) -30.76N = 0
Now we can rewrite them as:
k*cos(θ) = 22.07N
k*sin(θ) = 30.76N
Now we can take the quotiet between both equations to get:
(k*sin(θ))/(k*cos(θ)) = 30.76N/22.07N
Tan(θ) = 1.394
θ = Atan(1.394) = 54.35°
Now that we know the angle, we can find the value of the magnitude k, by using one of the two equations of the system:
k*cos(54.35°) = 22.07N
k = 22.07N/cos(54.35°) = 37.86N
Then the magnitude of this force is 37.86N, and the direction is 54.35°
Question 7
1 pts
8. Tianna worked 45 hours last week. Her employer pays time and a half for hours over 40. Her gross pay was $451.25. What is her
hourly rate?
Answer:
$9.50
Step-by-step explanation:
40x + (5*1.5*x) = 451.25
40x + 7.5x = 451.25
47.5x = 451.25
x = 9.50
please answer the question below
Answer: 220
Step-by-step explanation:
Will already has 148 he bought 8 packages that contains 9 in each so 8 x 9 = 72 then add 148 to 72 and you will have your total which is 220.
Pls pls help it is due todayyy:)))
Answer:
a dilation is different from a translation because it enlarges an image or shrink them instead of moving them. it's also different from rotation since it doesn't rotate but enlarge or shrink. it's way far from reflection because it enlarges or shrinks.
Answer: A diliation is a non rigid transformation, whereas reflections, transitions and rotations are rigid transformations. This means that dilations do not preserve the size of the shape.
Pls help with math ASAP pls
i do not think the order matters, so the answer should be the first two.
Which fraction is equivalent to the decimal 0.68 with the line on top?HELP FAST
A. 31/45
B. 682/999
C. 62/99
D. 2/3
Answer:
A 31/45
Step-by-step explanation:
A 31/45=0.6888 (this is the awnser as the line on top means repeating)
B 682/999=0.682 (0.68 rounded)
C 62/99=0.62626 (repeating)
D 2/3=0.66666 (Or 0.67 rounded)
How do percents show the relationship between quantities?
9514 1404 393
Explanation:
A percentage is a representation of a fraction. Just as any fraction relates a quantity to a whole, so does a percentage.
Example:
3/5 represents 3 parts out of 5.
Its equivalent as a percentage is ...
3/5 · 100% = 60%
which also represents 3 parts out of 5, or 6 parts out of 10, or 60 parts out of 100.
__
Note that the percent symbol (%) can be considered to be a shorthand way to write /100. Similarly, the "mils" symbol (‰) can be considered a shorthand way to write /1000. That is, 60% is fully equivalent to 60/100, and vice versa.
any help
please
thanks
Answer:
n=54
Step-by-step explanation:
Since this is a proportion problem, you have cross mulitply.
7n=9x42
7n=378
n=54
Answer:
cross multiply
9×42=378
7×n=7n
n=378/7
n=54
simplifly the expression 2(x - 5)
Answer:
2x - 10
Step-by-step explanation:
2(x - 5)
distribute
2*x - 2*5
2x - 2*5
2x - 10
Answer:????? Math (O-O)
Answer: the first one is 30. The second is .294. The third is 2/3.
Step-by-step explanation:
How do the graphs of the functions differ from the graph of f(x)=3.5x^3?
For each function, select Steeper, Less steep, or Reflected over the x-axis to describe the differences between the graph of the function and the graph of f(x).
Select all answers that are correct.
Answer:
First, let's do some general definitions:
We start with:
f(x) = 3.5*x^3
A general equation of this form is:
g(x) = a*x^3
if:
IaI > 3.5 the function will be steeper.
IaI < 3.5 the function will be less steep.
a < 0, means that we have a reflection over the x-axis.
Then:
p(x) = 4.5*x^3
bassed on what we wrote above, this function is steeper than f(x)
q(x) = -x^3
This is less steep ( a = -1 in this case) and we also have a reflection over the x-axis.
r(x) = 3*x^3
In this case 3 < 3.5, this means that this will be lees steep than f(x)