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kow [346]
3 years ago
5

Which expression is equivalent to 16^3

Mathematics
2 answers:
Sliva [168]3 years ago
8 0

Answer:

The answer is 4096

Step-by-step explanation:

16^3 is like 16*16*16.

So 16^3= 4096

Semmy [17]3 years ago
7 0
Answer

4096

Step by step
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The equation w = 6m+4, relates how a dog's weight varies with age, where m represents its age in months, and the w represents it
natima [27]

Answer:

<h3>9 months</h3>

Step-by-step explanation:

Given the relationship of the dogs weight ang its age modeled by the equation;

w = 6m+4

m represents its age in months, and;

w represents its weight in pounds

Given

w = 58pounds

Required

number of months m before the dog weigh 58pounds;

Substitute w = 58 into the function and get m as shown;

w = 6m + 4

58 = 6m + 4

subtract 4 from both sides

58-4 = 6m+4-4

54 = 6m

divide both sides by 6

54/6 = 6m/6

9 = m

m = 9

Hence it will take 9months before the dog will weigh 58 pounds

5 0
3 years ago
Suppose that a particle following the given path c(t) flies off on a tangent at t = t0. Compute the position of the particle at
Svetach [21]

Answer:

(30,35,0)

Step-by-step explanation:

We are given that

C(t)=(2t^2,t^3-4t,0)

t_0=3,t_1=4

The velocity of particle,v(t)=c'(t)=(4t,3t^2-4,0)

Substitute t_0=3

C(3)=(2(3)^2,(3)^3-4(3),0))=(18,15,0)

v(3)=(4(3),3(3)^2-4,0)=(12,23,0)

The tangent line at t=3 is given by

l(t)=c(2)+(t-3)v(3)=(18,15,0)+(t-3)(12,23,0)

Now, substitute t=4

l(4)=(18,15,0)+(4-3)+(12,23,0)=(18,12,0)+(12,23,0)

l(4)=(30,35,0)

Hence, the position of particle  at t_1=4=(30,35,0)

4 0
3 years ago
Lines l and k are parallel to each other. A=120 degrees. and C=80 degrees. What is the number of degrees in B??
Aleonysh [2.5K]

Answer:

B = 160°

Step-by-step explanation:

This is how I solved it (I hope the explanation isn't too confusing):

Since L and K are parallel, I drew a straight line from A to B. By doing this, I'm making a triangle: ΔABC

Then I solved for the angles of the triangle. First, we are given that ∠C = 80° and ∠A = 120°. Although, when I drew the vertical line from A to B, it made a 90° (see attachment).

So what we basically did was break ∠A into two parts: an angle inside ΔABC and one outside. To find the interior angle, simply subtract 90° from 120° to get 30°.

There are 180° in a triangle, so add the two interior angles you know:

30° + 80° = 110°

Then subtract 110° from 180° to find the final interior angle which is:

180° - 110° = 70°.

To find the measure of angle B, you must add all of the parts together, so the 90° outside angle and the 70° interior angle:

90° + 70° = 160°

5 0
3 years ago
Robin rolled a die and then flipped a coin. What is the probability she rolled an even number and the coin landed on heads?
aleksandr82 [10.1K]

Answer:

1/4

Step-by-step explanation:

There are 3 even numbers of the 6 numbers on a die.

(1,2,3,4,5,6) are the possible numbers.  2,4,6 are even

P( even number ) = 3/6 = 1/2

P (heads) = 1/2

Since they are independent events, we can multiply the probabilities together

P (even, heads) = 1/2 * 1/2 = 1/4

4 0
3 years ago
If​ Tucson's average rainfall is
S_A_V [24]
You think I know right? yeah so no way boy I'm so sorry not my intencion
4 0
3 years ago
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