Answer:
The volume of the cube is of 729 cubic meters.
Step-by-step explanation:
Volume of a cube:
The volume of a cube with edge length a is given by:
[tex]V = a^3[/tex]
In this question:
The edge length is of 9 meters, so [tex]a = 9[/tex]. The volume, in cubic meters, is:
[tex]V = a^3 = 9^3 = 729[/tex]
The volume of the cube is of 729 cubic meters.
Select ALL the sets of three side lengths that will make a triangle.
3, 4, 8
7, 6, 12
5, 11, 13
4, 6, 12
4, 6, 10
Answer:
7 + 6
5 + 11
Step-by-step explanation:
the lengths of the two shorter sides of a triangle must add up to more than the length of the third side.
3 + 4 = 7 ≤ 8 no
7 + 6 = 13 > 12 yes
5 + 11 = 16 > 13 yes
4 + 6 = 10 ≤ 12 no
4 + 6 = 10 ≤ 10 no
===================================================
Explanation:
We'll use the triangle inequality theorem. Recall that this theorem says that a triangle is only possible if and only if adding any two sides leads to a sum larger than the third side.
Let's say we had a triangle with sides a,b,c. Such a triangle is only possible if all three conditions hold true
a+b > cb+c > aa+c > b----------------
Let's go through each answer choice to see if those conditions hold up.
Choice A. We have a = 3, b = 4, c = 8. Note that a+b = 3+4 = 7 which is not greater than c = 8. Therefore a+b > c is false, and we cannot make a triangle here. We don't need to check the other inequalities. I recommend you trying it out by cutting out slips of paper of these lengths. You'll find a triangle cannot be constructed. We can rule out choice A.Choice B. We have a = 7, b = 6 and c = 12. We can see that a+b = 7+6 = 13 which is larger than c = 12. So far, so good. Then note that b+c = 6+12 = 18 which is larger than a = 7. Finally, a+c = 7+12 = 19 which is larger than b = 6. Picking any two sides, adding them up, leads to a sum larger than the third side. A triangle is possible in this case. Choice B is one of the answers.Choice C. This time a = 5, b = 11, c = 13. You should find that a triangle is possible following the same steps as done in choice B above. Adding any two sides leads to a sum larger than the third side. Choice C is one of the answers. Choice D. Now we have a = 4, b = 6, c = 12. Then note a+b = 4+6 = 10 which is too small compared to c = 12. Meaning a+b > c is false. A triangle isn't possible. Cross choice D off the list.Choice E. In this case, a = 4, b = 6 and c = 10. Adding the first two values gets us a+b = 4+6 = 10 which is not larger than c = 10. If you used slips of paper, you'd find that a straight line is formed rather than a triangle. Cross choice E off the list.To wrap things up, only choice B and choice C are possible triangles because adding any two sides leads to a sum larger than the third side.
what is the volume of the rectangular prism
Answer:
1 1/9
I THINK
HOPE IT HELPED
Answer:
30
Step-by-step explanation:
Volume=whl=2·5·3=30
round 98,376 to the nearest thousand
Answer:
98000
Step-by-step explanation:
According to Descartes rule what is the possible number of positive roots and negative roots
Answer:
Step-by-step explanation: There is exactly one positive root; there are two negative roots, or else there are none .
twice y is at most 29
Answer:
2t=29
Step-by-step explanation:
the phrase is at most means we set the constant 29 less than or equal to the term 2t using the (<=) operator
When a number is divided by 6 the answer is 37 with a remainder of 4 what is the number
Answer:
6 × 37 + 4 = 226 is the answer
Answer: 226
Step-by-step explanation: 37 times 6 equals 222 if you add 4 it gives you 226. 226 divided by 6 equals 37 with a remainder of 4. Hope this helps!
ANSWER THIS ASAP DONT SEND A FILE AT ALL !! I NEED SO SUBMIT IN 3 MINUTES HELPP!!
Answer:
(1, -2) is the coordinate of B' after a rotation of 90 degrees
It has been observed that some persons who suffer acute heartburn, again suffer acute heartburn within one year of the first episode. This is due, in part, to damage from the first episode. The performance of a new drug designed to prevent a second episode is to be tested for its effectiveness in preventing a second episode. In order to do this two groups of people suffering a first episode are selected. There are 45 people in the first group and this group will be administered the new drug. There are 75 people in the second group and this group will be administered a placebo. After one year, 12% of the first group has a second episode and 14% of the second group has a second episode. Conduct a hypothesis test to determine, at the significance level 0.1, whether there is reason to believe that the true percentage of those in the first group who suffer a second episode is less than the true percentage of those in the second group who suffer a second episode.
A. [ z < -1.65, RHo].
B. [ z < -1.65 and z > 1.65, FRHo].
C. [z > 1.65, FRHo].
D. [z < -1.65 and z > 1.65, FRHo].
E. [z > -1.65 and z < 1.65, RHo].
F. None of the above.
Answer:
F. None of the above.
Step-by-step explanation:
Let the null and alternate hypothesis be
H0: p1 ≥ p2 against the claim Ha: p1 < p2
the significance level is 0.1
The critical region is z < z∝= 1.28
The test statistic is
Z= ( p^1-p^2)- (p1-p2)/√p1^q1^/n1 + p2^q2^/n2
Here n1= 45 , n2= 75
p1= 0.12 p2= 0.14
q1= 0.88 q2= 0.86
z= 0.12- 0.14/√0.12*0.88/45 +0.14*0.86/75
Z= 0.02/ √0.00235 + 0.00161
Z= 0.02/0.062891
z= 0.318
The calculated value of z= 0.318 lies in the critical region z < 1.28
therefore accept Ha.
All of the options are incorrect as the critical value for one tailed test for 0.1 is 1.28 .
Plz I need help with only the perimeter one
Answer:
I believe the answer is 25.3
Answer:
25.4
Step-by-step explanation:
add em up then put the .3 after you add it up
What is the solution set of the system of equations
x+y = 5 and y=x^2- 25?
1) {(0.5) (11,-6)}
2) {(5,0).(-6,11)
3) {(-5,0),(6,11)
4) {(-5,10).(6.-1)
Suppose that two investors A and B have exhibited the indifference probabilities as shown in table below. Indifference probability Investor A Investor B Net return (RM) -2000 0 0 - 1000 0.70 0.10 0 0.80 0.20 1000 0.85 0.30 2000 0.90 0.50 3000 0.95 0.60 4000 1.00 1.00 a) Determine the utility value (for each monetary value) for each investor and fill it in table above. b) Graph the utility functions for both investors and categorize each investor as either a risk- averse person or a risk seeker. c) Suppose that investor A has the chance to invest in one of two ventures. Venture I can produce a net return of RM3000 with probability 0.40 or a net loss of RM1000 with probability 0.60. Venture II can produce a net return of RM2000 with probability 0.60 and no return with probability 0.40. Based on utility function in (b), use the expected utility criterion to determine the venture investor A should select. What is the expected monetary value associated with the selected venture?
Answer:
Da Answer is Suppose that two investors A and B have exhibited the indifference probabilities as shown in table below. Indifference probability Investor A Investor B Net return (RM) -2000 0 0 - 1000 0.70 0.10 0 0.80 0.20 1000 0.85 0.30 2000 0.90 0.50 3000 0.95 0.60 4000 1.00 1.00 a) Determine the utility value (for each monetary value) for each investor and fill it in table above. b) Graph the utility functions for both investors and categorize each investor as either a risk- averse person or a risk seeker. c) Suppose that investor A has the chance to invest in one of two ventures. Venture I can produce a net return of RM3000 with probability 0.40 or a net loss of RM1000 with probability 0.60. Venture II can produce a net return of RM2000 with probability 0.60 and no return with probability 0.40. Based on utility function in (b), use the expected utility criterion to determine the venture investor A should select. What is the expected monetary value associated with the selected venture?
Step-by-step explanation:
LESSSSSSS GOOOOOOOOOO
a radio costs $40. the tax rate is 7.5%. what is the tax on this radio?
Solve for x . Round to the nearest tenth, if necessary.
D
x
C
1
B
30
Answer: 0.6
Step-by-step explanation:
Pleaseeee helpppppppp!!!
Answer:
x = 46°
Step-by-step explanation:
Appling the principle of supplementary angle in Geomentry.
Supplementary angle: These are angles that sum up to 180°
From the diagram above, x and 134° are supplementry because they sum up to 180°.
Therefore,
134+x = 180 (Supplementary angle)
Solve for x
x = 180-134
x = 46°
Therefore, the value of the missing angle is 46°
If a price decreases by 20%, I can calculate 20% of the price and subtract it
from the original price.
Or I can calculate in one step if I find ____ % of the original price
Answer:
To subtract any percentage from a number, simply multiply that number by the percentage you want to remain. In other words, multiply by 100 percent minus the percentage you want to subtract, in decimal form. To subtract 20 percent, multiply by 80 percent (0.8)
Step-by-step explanation:
The value of all of the quarters and dimes in a parking meter is $6. There are twice as many quarters as dimes. What is the total number of dimes in the parking meter?
Answer:
subject?
Step-by-step explanation:
A cyclist travels 4.9 km in 30 minutes.
What is his average speed in km/h?
Answer:
9.8 km/h
Step-by-step explanation:
Since there are 60 minutes in an hour, we can find his speed in km/h by multiplying 4.9 by 2.
4.9(2)
= 9.8
This means that he will travel 9.8 km in 60 minutes (1 hour).
So, his average speed is 9.8 km/h
Choose all the numerals that when you multiplied by 58 equal a product greater than 58.
Plz help find the rule 50 points
Answer:
1², 2²,3², 4², 5², 6², 7², 8², 9², 10², 11², 12², 13², 14², 15², 16², 17², 18², 19², 20²,........
Each number is multiplied by itself.
The Unit Circle
What is sin 90°?
a. 0
b. 1
c. -1
d. 1/2
Please select the best answer from the choices provided
Answer:
B. 1
Step-by-step explanation:
I calculated logically
A bag contains 7 red marbles, 8 blue marbles and 4 green marbles. If three marbles
are drawn out of the bag, what is the probability, to the nearest 100oth, that all three
marbles drawn will be blue?
Answer:
Step-by-step explanation:
A bag contains 8 red marbles, 3 blue marbles and 7 green marbles.
Total = 18 marbles.
Probability of drawing three red marbles = probability of drawing one red without replacement + probab of drawing another without reeplacement + probab of drawing a third without replacement.
Probability of drawing three red marbles = 8/18 + 7/17 + 6/16 = 0.4444 + 0.4118 + 0.3750 = 1.2312.
Plz help me well mark brainliest if correct.....???
Answer:
A) 18 students
Step-by-step explanation:
Find the sum of the interior angle measures of a 5-gon.
Answer:
540°
Step-by-step explanation:
The sum of interior angles in a polygon is equal to 180(x-2) where x is the number of sides. Since there are 5 sides, 180(5-2)=540°.
I’m not sure what the answer is
Answer:
biosphere then ecosystem then community populations then organisms
A family eats at a restaurant and leaves a tip that
increases the cost of the meal by 20%. The cost of the
meal before the tip is $41.27. How much is the cost of the
meal with the tip included?
Answer:
49.52
Step-by-step explanation:
Answer:
49.52 !!
Step-by-step explanation:
They’re correct ⬆️
Help please!!!! will Brainly!!!
Answer:
true
Step-by-step explanation:
.................
All of the following are equivalent except _____.
7.5:4.5
5 is to 3
15/5
45/27
Answer:
15/5
Step-by-step explanation:
because 7.5 ÷ 4.5 = 1.66667
5 ÷ 3 = 1.66667
and 45 ÷ 27 = 1.66667
but 15 ÷ 5 = 3 therefore it's the off one out.
Thiago is saving to buy a new bike that costs $90. He has saved $75. What fraction of the cost has Thiago already saved?
Answer:
5/6
Step-by-step explanation:
Total cost - $90
Saved - $75
Fraction ( before simplifying ) - 75/90
Fraction ( after simplifying ) - 5/6
There you go :)
the minute hans on the clock shown below has a length of 7.5 cm. which of the following is closest to the distance that the tip of the hand travels as it moves from 12 to 4
Answer:
16
Step-by-step explanation:
The following is closest to the distance that the tip of the hand travels as it moves from 12 to 4 should be considered as the 16 cm.
Calculation of the distance:
Since the minute hans on the clock shown below has a length of 7.5 cm
And, the tip of the hand travels as it moves from 12 to 4
So,
For full rotation it should be like [tex]2\pi[/tex] radians
Since angle turned by minute hand in 5 minutes so it should be like [tex]= 2\pi \div 12[/tex] radians
So
[tex]= 7.5 \times 2.094[/tex]
= 15.7 cm
Learn more about distance here: https://brainly.com/question/13448007
Write a exponential growth word problem and a exponential decay word problem
Answer:
Step-by-step explanation:
Growth:
You put 100 dollars into a fund which accumulates at a rate of 5% per annum. How much will be in the fund at the end of 10 years (to the nearest cent)?
answer: 100(1.05)¹⁰=162.89
Decay:
You buy a car for 10,000, and each year its value decreases by 5%. What is the car worth 10 years from now (to the nearest cent)?
answer: 10000(.95)¹⁰=5987.37