Solve for v. 9 2 V-2 > 6
Answer:
V>[tex]\frac{2}{23}[/tex]Step-by-step explanation:
A body of mass 2 kg moves in a (counterclockwise) circular path of radius 3 meters, making one revolution every 5 seconds. You may assume the circle is in the xy-plane, and so you may ignore the third component.
A. Compute the centripetal force acting on the body.
B. Compute the magnitude of that force.
Answer:
a) [tex]\vec{F_{c}}=mR\omega^{2}[/tex]
[tex]\vec{F_{c}}=9.53 \: N \vec{r}[/tex]
b) [tex]|\vec{F_{c}}|=9.53 \: N [/tex]
Step-by-step explanation:
a) The centripetal force equation is:
[tex]\vec{F_{c}}=m\vec{a_{c}}[/tex]
[tex]\vec{F_{c}}=mR\omega^{2}[/tex]
Now, we know that the body makes one revolution every 5 seconds, so we can find the angular velocity:
[tex]\omega=\frac{1 rev}{5 s}=0.2\: \frac{rev}{s}=1.26\: \frac{rad}{s}[/tex]
[tex]\vec{F_{c}}=2*3*1.26^{2}=9.53 \: N \vec{r}[/tex]
The centripetal force is a vector in the radius direction.
b) The magnitude of that force will be:
[tex]|\vec{F_{c}}|=9.53 \: N [/tex]
Gas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car results in 460 miles o. 20 gallons of gas. How far could you drive on 70 gallons of gas.
Answer:
1,610 miles
Step-by-step explanation:
If you do 460/20 you get the gas mileage. The gas mileage is 23. If you do 23*70 you get 1610 miles out of 70 gallons of gas. (Double-check to make sure I'm correct)
Please help anyone im begging
Answer:
A- Root 16
B- Root 27
C- Root 32
Step-by-step explanation:
So A is root 16 because root 16 is equal to 4.
B is root 27
And C is root 32
WILL MARK BRAINLYIST
Answer:
PK=15
RJ=9
Step-by-step explanation:
PK and RJ are angle bisector because they also bisect their side lengths.
QK=2(PQ)=10
PK=5+10=15
QJ=2(QR)=6
RJ=6+3=9
RJ=9
4.0681 to the nearest thousand
Which fraction has a terminating decimal?
- 11/19
- 4/7
- 1/3
- 3/150
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Explanation:
With the use of a calculator, we see that,
11/19 = 0.57894736842106...., the decimals eventually repeat; but unfortunately my calculator ran out of room to show the repeating portion4/7 = 0.5714285714285714..., the block "571428" repeats forever1/3 = 0.333333.... the 3s go on forever3/150 = 0.02So 3/150 converts to the terminating decimal 0.02
The word "terminate" means "stop". In the other decimal values, the decimal digits go on forever repeating the patterns mentioned.
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A non-calculator approach will have us simplify 3/150 into 1/50 after dividing both parts by the GCF 3. Then notice how 50 has the prime factorization of 2*5*5. The fact that the denominator 50 can be factored in terms of only 2's and 5's is enough evidence to conclude that the fraction converts to a terminating decimal.
If the denominator factors into some other primes, other than 2s and 5s, then we don't have a terminating decimal. So that's why 11/19, 4/7 and 1/3 convert to non-terminating decimals.
Buffy ate 10 hot dogs every 35 minutes. At that rate, how long, in minutes will it take to eat 6 hot dogs
Answer:
21 minutes
Step-by-step explanation:
35 ÷ 10 = 3.5
3.5 × 4 = 14
35 - 14 = 21
=21
Consider the expressions 3x(x − 2) + 2 and 2x2 + 3x − 18.
Part 1 out of 2
Evaluate each expression for x = 4 and for x = 5. Based on your results, do you know whether the two expressions are equivalent? Complete the explanation.
For x = 4, each expression has a value of
26
. For x = 5, each expression has a value of
. These results suggest that the expressions
(select)
equivalent, but
(select)
the expressions are equivalent.
Answer:
See answer below
Step-by-step explanation:
For the first expression
3 x (x - 2) + 2 = 3 x^2 - 6 x + 2
evaluated at x= 4 we get: 26
and for x = 5 we get 47.
For the second expression
2 x^2 + 3 x - 18
we get the exact same values when doing the evaluation at these two points.
Based on those results, one may think the expressions may be equivalent, but they are not equivalent. Because at any other x-value, their results are different. See for example that for x = 0 the first one gives "2" while the second one gives -18.
In the figure below, if sin x= 5/13, what are cos x and tan x? PLZ HELP FOR THE LOVE OF GOD AND WHTS GOOD IN THE WORLD HELPPP
Answer:
Step-by-step explanation:
cos²x = 1-sin²x = 1-(5/13)² = 144/169
cosx = √(144/169) = 12/13
tanx = sinx/cosx = (5/13)/(12/13) = (5/13)×(13/12) = 5/12
Please help ! 1. Kenken puzzle 3x3
Answer:
Step-by-step explanation:
It costs $14.50 to rent a canoe and $6 to use the canoe for an hour. You have $32.50. Write an equation that represents the number h of hours you can rent the canoe. An equation is BLANK =32.50.
Answer:
The answer would be, you have 3 hours to use the canoe
What is the integer?
Sally lost 40 dimes because she did not put the money in her piggy bank.
Answer:
-40
Step-by-step explanation:
This is because she LOST 40 dimes making it a negative number, so the integer to represent this would be -40.
John's ordinary step covers 18 inches. How many steps does he take in walking 10 yards?
Answer:
John takes 20 steps in 10 yards.
Step-by-step explanation:
1 yard = 36 inches
10 yards = 36 x 10 = 360 inches
Since John's step covers 18 inches, divide 360 by 18.
360/18 = 20 steps
if x^2/3=2 what is x^2
Diane is starting a business selling handmade necklaces. She has decided to invest an initial
amount of $203 for advertising, and materials cost $2 for each necklace she makes. Diane
can sell her creations for $31 per necklace. Once she makes and sells a certain number of
necklaces, she will break even, with identical expenses and sales. What would the total
expenses and sales be then? How many necklaces would that take?
What is the b term of the product of (x – 4) and (2x + 3) ?
Answer:
the "b" term is the term "-5 x" in the final quadratic expression
Step-by-step explanation:
Normally the "b" is the "linear term" in a quadratic equation.
So, perform the product of binomials and combine like terms to identify the final "b" term of the quadratic expression you get:
[tex](x-4)*(2x+3)=2x^2 +3x-8x-12=2x^2-5x-12[/tex]
Therefore the "b" term is the term "-5 x" in the final quadratic expression.
A company is expanding its building area from 13,500 square feet to 19,440 square feet. What is the percentage increase of the area of the building space?
A.
4.4%
B.
44%
C.
59.4%
D.
56%
three positive numbers form an arithmetic progression with d=8 If 7 is subtracted from the first number, 3 is subtracted from the second number, and the third numbers is first decreased by 1 and then the result is multiplied by 3, the resulting numbers form a geometric progression find the original three numbers
Answer:
10, 18, 26
Step-by-step explanation:
Classify each pair of numbered angles as corresponding, alternate interior, alternate exterior, or none of these.
Drag and drop the choices into the boxes to correctly complete the table.
Check the attachment below, it's self explanatory.
HELP ASAP! I need help with 11 and 12 please!! Thank you!
Answer:
Q11 part 4 is the correct option
Q12 part 4 is also the correct option
Can someone help me?
use the volume formula to find the volume of the prism.
Answer:
Step-by-step explanation:
Answer:12 1/2
Step-by-step explanation:
5) Graph the following inequality. (3 points) 6x-2y>8
Answer:
Step-by-step explanation:
The University of South Texas is interested in determining if there is a difference in the average weight gain between male students (group 2) and female students (group 1) during their freshman year. They take a random sample of 10 male students and 10 female students. Find the confidence interval with 95% confidence. The 95% confidence interval is (2.4, 20.4). A. We are 95% confident that the population mean weight gain for male University of South Texas students is 2.4 more to 20,4 more than female University of South Texas students. B. We are 95% confident that the population mean weight gain for female University of South Texas students is 2.4 more to 20.4 more than male University of South Texas students. C. We are 95% confident that the sample mean weight gain for female University of South Texas students is 2.4 more to 20.4 more than male University of South Texas students. D. We are 95% confident that the sample mean weight gain for male University of South Texas students is 2.4 less to 20.4 more than female University of South Texas students.
Answer: A. We are 95% confident that the population mean weight gain for male University of South Texas students is 2.4 more to 20,4 more than female University of South Texas students.
Step-by-step explanation:
Given a 95% confidence interval of : (2.4, 20.4)
The lower boundary of the interval = 2.4
The upper boundary of the interval = 20.4
Male = group 2, Female = group 1
P2 - P1 is between lower boundary more and upper boundary more ;
Hence
Population mean weight for male is 2.4 more to 20.4 more than female
an online photo service charges 20 to make a standard photo book with 16 pages. each extra page costs 1.75 write an exspression to determine the total cost of in dollars to make a standyard photo book with p extra pages
Answer:
$20 + (1.75 * p)
Step-by-step explanation:
This is just a guess hope this is correct.
Hope this helps! :)
guys i need help on this problem I'm stuck
Answer:
y=mx+b is slope intercept form
Step-by-step explanation:
letter B :)
If you are the sole owner of a company with a net worth of $2.35 million dollars and are sued for $4 million dollars what is the amount that you must pay in the lawsuit? Why do you have to pay the amount that you stated?
Explanation: Well in my opinion.... Your networth doesn't matter its just showing how much money you spent...
Soo if you had $4 Million you'd pay it automatically.
Graph x < or = to -4.5 on the number line
HELP ME PLS ASAP PLS PLZ PLS HELP
Answer:
it would be a closed circle and to the right
Step-by-step explanation:
I have a little tip whenever the greater or less than sign is underlined it will always be closed, and when x is greater than -4.5 all the numbers that are greater than -4.5 will be on the right side so that will be your answer.
answer thismath......
Answer:
you can travel 150 miles
Step-by-step explanation:
Answer:
570 miles
Step-by-step explanation:
325.5 - 240 = 85.5
85.5 / 0.15 = 570