Final answer:
The largest volume among the rectangular prisms is 75 cm³, corresponding to the prism with dimensions l = 5 cm, w = 3 cm, and h = 5 cm.
Explanation:
To determine which rectangular prism has the largest volume, we must calculate the volume of each given prism. The volume (V) of a rectangular prism is calculated by multiplying its length (l), width (w), and height (h): V = l × w × h.
For the first prism, V = 4 cm × 5 cm × 3 cm = 60 cm³
For the second prism, V = 6 cm × 3 cm × 3 cm = 54 cm³
For the third prism, V = 2 cm × 6 cm × 6 cm = 72 cm³
For the fourth prism, V = 5 cm × 3 cm × 5 cm = 75 cm³
By comparing the volumes calculated, the prism with dimensions w = 3 cm, l = 5 cm, and h = 5 cm has the largest volume, which is 75 cm³.
Dado el número N = 4752a, averigua qué valor ha de tomar "a" para que: a) N sea divisible por tres. b) N sea divisible por cinco. c) N sea divisible por 15. d) Cuando se divida N por 7 dé de resto 5.
Answer:
I will answer it in English:
a) We have te number N = 4752a
if we want to divide it by 3, then the addition of all the digits must be a multiple of 3.
Sum = 4 + 7 + 5 + 2 + a = 6 + 7 + 5 + a = 18 + a
and 18 is a multiple of 3, then we can have, a = 0, a = 3, a = 6, a= 9
b) A number is divisible by 5 if it ends on 5 or 0, so the possible values of a are 0 and 5.
c) we know that 15*3 = 45
then 15*3000= 45000
now we have:
4752a - 45000 = 252a
15*13 = 2520
then we have that a must be equal to zero, and:
15*(13 + 3000) = 47520
d) We want a number that when we divide it by 7, the surpass is 5.
a number is divisible by 7 if the difference between the number without the units and the double of the units is 0 or a multiple of 7.
in N = 4752x the unit is a, then we have:
D = 4752 - 2*x
now, let's choose a such we have a multiple of 7
we know that 5746 is a multiple of 7, so we can choose x= 3 and get:
D = 4752 - 2*3 = 5746
So the number N = 47523 is a multiple of 7, and when we divide it by 7 we will have a surpass of 0.
Then when we divide N + 5 by 7, we will have a surpass of 7.
This is: N + 5 = 47528
This means that the actual value of a that we need is 8.
The alphabet game costs $.25 to play. Before the game, 26 slips of paper with a different letter of the alphabet on it are put into a bag. A player draws one slip from the bag. If the player draws a vowel (A, E, I, O, or U), he or she wins $1. If a player plays the alphabet game 2 times in a row, replacing the slip of paper after each turn, what is the probability that they win twice? Write as a fraction.
Answer: 25/676
Step-by-step explanation:
Number of possible outcomes = 26
In other to win, one must draw must be either (A, E, I, O or U)
Therefore required drws to win = 5
First draw:
P(win) = Total required outcome / Total possible outcome
P(win) = 5/26
Second draw:
P(win) = Total required outcome / Total possible outcome
P(win) = 5/26
Therefore,
P(winning twice) = (5/26) × (5/26) = 25/676
The probability of winning the alphabet game twice in a row is 25/676.
To calculate the probability of winning the alphabet game twice in a row, we need to consider the probability of drawing a vowel each time and then multiply these probabilities together since the events are independent.
First, we identify there are 5 vowels (A, E, I, O, U) in the alphabet, and there are 26 total letters. So the probability of drawing a vowel in one turn is 5/26.
To win twice in a row, you would need to draw a vowel during your first turn and then replace the slip and draw a vowel again on your second turn. Since the slip is replaced after each turn, the probability for each turn remains the same (5/26).
Therefore, the probability of winning twice is:
(5/26) * (5/26) = (25/676)
So, the probability of winning the alphabet game twice in a row is 25/676.
For every 2 blocks Raevan jogs, she walks
1 block, Raevan wants to cover a distance of
36 blocks today. How many blocks will she jog?
Answer:
I believe she will jog 18 blocks.
Step-by-step explanation:
is the equation y = –16x2 + 20x + 4 a function
Answer: yes
Step-by-step explanation:
I need help can you please help me please I need it
Whatgdhshshsh shsbshe ushe shebe isnsdn
Answer:
yes
Step-by-step explanation:
Answer: yes
Step-by-step explanation:
5rtb rsgfttbh
Which equations explain why Mya's claim must be true?
Answer:
(4) (M∠1 + m∠2) = 180 and (m∠3 + m∠4 + m∠2) = 180
Step-by-step explanation:
The correct equation which represent Mya's claim must be true is,
⇒ m ∠1 + m ∠2 = 180°
And, m ∠3 + m ∠4 + m ∠2 = 180°
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degree.
Given that;
Mya claims that,
⇒ m ∠3 + m ∠4 = m ∠1
We know that;
Sum of all interior angles in triangle are 180 degree.
And, Sum of opposite angles of a triangle is equal to its exterior angle.
Hence, We get;
The correct equation which represent Mya's claim must be true is,
⇒ m ∠1 + m ∠2 = 180°
And, m ∠3 + m ∠4 + m ∠2 = 180°
Learn more about the triangle visit;
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What are the zeros of the quadratic function f(x) = 2x2 + 8x – 3?
Answer:
A
Step-by-step explanation:
The caribou’s spring migration takes 2 weeks. The longest recorded migration was 838 miles. How far did the caribou travel per day?
Answer:
59.85714285714286 miles a day ≈ 60 miles a day
Step-by-step explanation:
To find this, we'd have to make the weeks into days.
2 weeks * 7 days = 14 days
Now we need to divide the miles traveled by the days:
838/14=59.85714285714286 miles a day or about 60 miles per day
Answer:
~ 60 days
Step-by-step explanation:
We have 2 weeks. Since there are 7 days a week, 2 weeks is 14 days.
To find the number of miles walked per day, we need to divide the total number of miles by the total number of days:
838 / 14 ≈ 59.9 ≈ 60 days
How many feathers are 214 inches or shorter?
Answer:
about how many it says
Step-by-step explanation:
Which equation can be used to find the volume of this solid? A rectangular prism with a length of 5 centimeters, width of 4 centimeters, and height of 2 centimeters. V = 2 times 4 times 5 V = 2 + 5 + 4 V = 2 times 5 V = 4 times 5
Answer:A: V= (2)(4)(5)
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Which expression is equal to 2x7x6?
Answers:
(2x7) + (2x6)
(2+7) x (2+6)
7+2+6
7x2x6
what's the answer?
Answer:
Option D is correct.
Step-by-step explanation:
As commutative principle 2x7x6 = 7x2x6
Hope this helps!
:)
The required form of the given expression is obtained as 7 × 2 × 6. The correct option is (D).
What is the commutative property for multiplication?The commutative property for multiplication states that the order of multiplication is not a necessary condition to change the product,
For example the products obtained from both the expressions 2 × 3 and 3 × 2 are the same.
The given expression is 2 × 7 × 6.
As per the commutative property the order of multiplication does not change the product.
Thus, the given expression can be written as,
7 × 2 × 6
Hence, the given expression can be rewritten as 7 × 2 × 6.
To know more about commutative property click on,
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If P(not yellow) = StartFraction 4 over 15 EndFraction, which best describes the probability of the complement of the event?
Answer:
The P(yellow) = 11/15
Step-by-step explanation:
Here, we have;
P(not yellow) = 4/15
Mathematically, the addition of the probability of an event and its complement adds up to be 1
The complement we have here is P(yellow)
Thus, mathematically we have;
P(not yellow) + P(yellow) = 1
P(yellow) = 1 - P(not yellow)
From the question P(not yellow) = 4/15
Plugging this value, we have;
P(yellow) = 1 - 4/15 = 11/15
Answer:
C. 11/15
Step-by-step explanation:
hope this helped!
Which answer explains why the sum of 12+12 is an even number
A.Any number plus 12 is even.
B.Both addends are equal.
C.Any number greater than 12 is even.
D.12+12 is equal to an odd number
Answer:
Even + Even = even
odd + odd = even
Odd + even = odd
even + odd = odd
Rule of thumb in addition.
Answer is B
Step-by-step explanation:
Final answer:
The sum of 12+12 is an even number because both addends are even numbers, and adding two even numbers always results in an even sum.
Explanation:
The question you're asking is about why the sum of 12+12 is an even number. To answer this, we need to understand a property of even numbers. An even number is any integer that can be divided by 2 without leaving a remainder. Adding two even numbers together will always result in another even number because the sum of two multiples of any number is a multiple of that number. Since 12 is an even number (it can be divided by 2 to get 6), adding it to itself (another even number) must result in an even sum.
It's not correct to say that any number plus 12 is even (Option A) because if you add 12 to an odd number, the result is odd. Option B is the closest to a correct explanation because both addends are equal and are even numbers. Saying any number greater than 12 is even (Option C) is incorrect because odd numbers also exist above 12. Finally, 12+12 is not equal to an odd number (Option D), so that choice is incorrect as well.
The system of equations shown below is graphed on a coordinate grid:
3y + x = 4
2y − x = 6
Which statement is true about the coordinates of the point that is the solution to the system of equations?
It is (−2, 2) and lies on both lines.
It is (−5, 3) and lies on both lines.
It is (−5, 3) and does not lie on either line.
It is (−2, 2) and does not lie on either line.
Answer:
A) (-2,2) lies on both lines
Step-by-step explanation:
Your answer would be the first option, (-2, 2).
We can solve this system of equations by adding them together, as the +x and -x will cancel:
3y + x = 4
+2y - x = 6
5y = 10
y = 2
Now we can find the x value by substituting the y value into one of the equations:
3(2) + x = 4
6 + x = 4
x = -2
Therefore your answer is (-2, 2). We know that it is the first option and not the last option because the point (-2, 2) does lie on both lines as it satisfies both equations when substituted in.
I hope this helps!
How do you solve for y?
Damian's famouse punch calls for 6 liters of mango juice. The only mango juice he can find is sold in 500-milliliter cartons. How many cartons of mango juice does Damian need to buy?
Answer:
12 cartons
Step-by-step explanation:
500 millilitres is equal to 0.5 liters, so with this you can divide 6 L by 0.5 L to find that you need 12 cartons in total
If y - 12 = 23, what would you do to solve for x? *
option 1 - add the 12 to both sides
option 2 - subtract the 12 from both sides
option 3 - subtract 23
Answer:
Option 1 - add the 12 to both sides.
Step-by-step explanation:
If you meant solve for the variable, y, then you should:
Option 1 - add the 12 to both sides.
y - 12 = 23
Isolate the variable, y. Add 12 to both sides:
y - 12 (+12) = 23 (+12)
y = 23 + 12
Simplify:
y = 23 + 12
y = 35
~
Solve the equation by completing the square. If necessary, round to the nearest hundredth. x2+10x=18
To solve the quadratic equation x² + 10x = 18 by completing the square, we rearrange the equation, complete the square, solve for x by taking the square root of both sides, and then isolate x. The two solutions are x = -5 + √43 and x = -5 - √43, which can be approximated if necessary.
To solve the equation x² + 10x = 18 by completing the square, we first need to move all terms to one side to get the equation in the form of ax² + bx + c = 0.
Subtracting 18 from both sides, we have x² + 10x - 18 = 0.
To complete the square, we take the coefficient of x, which is 10, divide it by 2 to get 5, and then square it to get 25. We add 25 to both sides of the equation and then subtract it right back to maintain the balance:
x² + 10x + 25 - 25 - 18 = 0
Now we group the perfect square trinomial and simplify:
(x + 5)² - 43 = 0
Next, we add 43 to both sides:
(x + 5)² = 43
Then we take the square root of both sides:
(x + 5) = √43
Subtract 5 from both sides to solve for x:
x = -5 ± √43
The solutions are x = -5 + √43 and x = -5 - √43.
what is the proablity of rolling a 3 and landing on heads
Answer:
2/5
Step-by-step explanation:
[tex]PLEASE HURRY WILL MARK BRAINLEST[/tex]
Answer:
43°.
Step-by-step explanation:
To find the measures of the other two angles, we will need to use various angle properties.
We can use the Supplementary Angles formula to find the adjacent angle to the angle that measures 123°.
180 - 123 = 57°. This is the measure of the first angle.
Now, to find the measure of the second angle, we know that these are vertical angles meaning they are congruent. Therefore, the measure of the angle is 80°.
To find 'x', we will simply need to subtract from 180:
180 - 80 - 57 = 43°.
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Answer:
b =7
Step-by-step explanation:
8b+15=71
Subtract 15 from each side
8b+15-15 =71-15
8b = 56
Divide each side by 8
8b/8 = 56/8
b = 7
Answer:
I believe b equals 7.
Step-by-step explanation:
8b +15= 71
-15. -15
8b = 56
56/8
7
b=7
find the reciprocal of 2 / -5 × 3 / -7
Answer:
[tex] \frac{35}{6} [/tex]
Step-by-step explanation:
[tex] \frac{2}{ - 5} \times \frac{3}{ - 7} \\ = \frac{6}{35} [/tex]
Now turn the answer upside down[tex] \frac{6}{35} = = > \frac{35}{6} [/tex]
Evaluate the expression
7^0
Answer:
1
Step-by-step explanation:
Any number put to the 0 power is equal to 1.
Does that help?
PLEASE HELP I need explanation if you can’t provide it’s ok thanks anyways
Answer:
We have, volume of cone:
V = (1/3) x base area x height
= (1/3) x pi x radius^2 x height
= (1/3) x pi x 2^2 x 4
= 16.76 (mi3)
Option D is correct
Hope this helps!
:)
Answer:
16.76
Step-by-step explanation:
Volume= πr^2 h/3
so its π (2)^2 4/3
which equals 16.76 mi^3
If each dimension of the rectangular prism is doubled, how will its total surface area change?
A rectangular prism. The length is 3 meters, width is 4 meters, and height is 2 meters.
Answer:
In a rectangular prism, all six surfaces are rectangles as shown ... to length X width, ( l⋅w , the surface area of the sides can be calculated by ... Total surface Area = A=2(l+w)h+2lw=2(lh+wh+lw). If we double all three dimensions we get: ... Doubling the dimensions makes the surface area 4 times the original ...
1 answer
Step-by-step explanation:
Answer:
It increases by 4
Step-by-step explanation:
1 5/6 times 2 3/4
it says give the answer as a mixed number in it simplest form
Answer:
5 1/24
Step-by-step explanation:
first you turn the mixed fraction to improper fraction
1 5/6=11/6
2 3/4= 11/4
11/6 times 11/4 = 121/24
121 divided by 24= 5 1/24
Answer is 5 1/24. You have to keep, change, flip
-Dhruva;)
The coordinates A(0,0) B(0,4) and C(2,0)are graphed and connected together. What 3 dimensional shape will be created
A right triangle. The Origin connects 4 blocks up ON the y axis, then connects 2 on the x axis.
-102.75 / -3
Round to nearest tenth
Answer: To approximate a number to the nearest tenth you have to look at the hundredths digit. If it is 5 or more you have to add 1 to the tenths digit, else if it is lower than 5 you leave the tenths digit unchanged.
Step-by-step explanation:
Answer:
34.3
Step-by-step explanation:
i used my brain
Please help me I will mark BRAINLIEST!!! Find the value of x
Answer:
x = 2√3 ≈ 3.464
Step-by-step explanation:
The side marked x is opposite the given 30° angle. The side marked 6 is adjacent to that angle. The trig function relating opposite and adjacent sides of a right triangle is ...
Tan = Opposite/Adjacent
Filling in values, we have ...
tan(30°) = x/6
Multiplying by 6 gives ...
x = 6tan(30°) = 6(√3/3)
x = 2√3 ≈ 3.464