An object moves 100 m in 4 s and then remains at rest for an additional 1 s.What is the average speed of the object?
Answers
Answer:
20 m per second
Step-by-step explanation:
100 / 5 = 20
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How to reduce fractions
Every week, Hector works 20 hours and earns $210.00. He earns a constant amount of money per hour.Part AWrite an equation that can be used to determine the number of hours, h, Hector works given the number of weeks, W.Enter your equation in the space providedPart BWrite an equation that can be used to determine Hector's earnings, in dollars, m, for h hours of work.Enter your equation in the space provided.
Answers
Answer:
9
Step-by-step explanation:
Draw a Venn diagram.
+------------------------------------------------------------+
| N |
| +--------------+ +-----------+ |
| / P /\ S \ |
| / / B \ \ |
| \ \ / / |
| \ \ / / |
| +------------+ +------------+ |
| |
+------------------------------------------------------------+
The Venn diagram is set up as above. The two circles insiode the rectangle look like two hexagons and they overlap.
The overlap is labele B, for people who both play and sing. The left circle is P for people who play, and the right circle is S for people who sing.
Now we begin to fill it in.
5 people both play and sing, so we place a 5 in the overlap section.
+------------------------------------------------------------+
| N |
| +--------------+ +-----------+ |
| / P /\ S \ |
| / / B \ \ |
| \ \ 5 / / |
| \ \ / / |
| +------------+ +------------+ |
| |
+------------------------------------------------------------+
20 people sing. Subtract the 5 who both sing and play, and you have 15 who can only sing.
12 people play. Subtract the 5 who both sing and play, and you have 7 who only sing.
Place the numbers 15 and 7 in the correct places.
+------------------------------------------------------------+
| N |
| +--------------+ +-----------+ |
| / P /\ S \ |
| / / B \ \ |
| \ 7 \ 5 / 15 / |
| \ \ / / |
| +------------+ +------------+ |
| |
+------------------------------------------------------------+
Now add all the people already placed.
15 + 5 + 7 = 27
Subtract that number form the total.
36 - 27 = 9
Place the 9 in the correct area.
+------------------------------------------------------------+
| N 9 |
| +--------------+ +-----------+ |
| / P /\ S \ |
| / / B \ \ |
| \ 7 \ 5 / 15 / |
| \ \ / / |
| +------------+ +------------+ |
| |
+------------------------------------------------------------+
Answer: 9
A more normal looking Venn diagram looks like this:
Answers
Answer:
The answer in the procedure
Step-by-step explanation:
Let
x-----> amount corresponding to 75%
we know that
using proportion
N =?
Answers
n^2 - n - 90 = 0
(n - 10)(n + 9) = 0
n - 10 = 0
n = 10
n + 9 = 0
n = -9
answer is : n = 10 and n = -9
Answers
Change the word form to fraction form
92/100
Find the GCF and divide both sides by it
get 23/25
Answers
Note: 10 to the power of zero is 1.
Answers
Answer:
dx/dt= 0.2608 at h= 3.1 m
Step-by-step explanation:
a is the length of the ladder. a=5
by pythagorus theorem
differentiating with respect to t we get
......1
The variable h is the height of the ladder's top at time t, and x is the distance from the wall to the ladder's bottom
At h= 3.1
x^2= 6^2-3.1^2 = 9.1×2.9
x= 5.1371 m
given
putting values in 1 to get dx/dt
.
dx/dt= 0.2608 at h= 3.1 m
Answer:
= 0.3
Step-by-step explanation:
The given situation forms a right triangle. We have to use the Pythagorean theorem's statement to solve this problem.
The theorem states that the sum of the squares of the legs is equal to the square of the hypotenuse.
Here Hypotenuse = length of the ladder (a)
Legs are h and x.
So, using the Pythagorean theorem, we get
-------------(1)
We are given a = 5 meters, = 0.4
Now plug in a = 5 in the above equation, we get
25 = -----(2)
To find the . Differentiate the above equation with respective to the time t, we get
-------(3)
We know that h = 3.1 and = 0.4.
We can find x, by plug in h = 3.1 from the equation (2)
25 =
x = 3.9
Now plug h = 3.1, x = 3.9 and = -0.4 in the derivative (3) and find dx/dt
Here we represents = -0.4 because it is sliding down
2(3.1)(-0.4) + 2(3.9) = 0
-2.48 + 7.8 = 0
7.8 = -2.48
= -2.48 ÷ -7.8
= 0.3179
When we rounding off to the nearest tenths place, we get
= 0.3