For the given set of numbers:
<span>{1,2,3,4, 5, 6, 7, 8, 9, 10}
the number of elements
n=10
the total number of subsets is given by:
2^10=1024
</span>
Answer:
w = 11
Step-by-step explanation:
<u>Step 1: Subtract 4 from both sides</u>
15 = w + 4
15 - 4 = w + 4 - 4
11 = w
Answer: w = 11
By apply the distributive property of multiplication, the value of k which makes the statement true is 1.
<h3>What is the
distribution property?</h3>
Mathematically, the distributive property of multiplication is given by tis expression:
x(y + z) = xy + xz.
Next, we would apply the distributive property of multiplication to the given equation by distributing to the left-hand side using xy⁴:
k(2x⁴y⁴ + 7x³y⁸) = 2x⁴y⁴ + 7x³y⁸
Dividing both sides by the common factor, we have:
k = (2x⁴y⁴ + 7x³y⁸)/(2x⁴y⁴ + 7x³y⁸)
k = 1.
In conclusion, the value of k which makes the statement true is 1.
Read more on distributive property here; brainly.com/question/2807928
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<u>Complete Question:</u>
What value of k makes the statement true?
y⁴(2x³ + 7x²y⁴) = 2x⁴y⁴ + 7x³y⁸
Divide each side by 2 1/4 to get x by itself. The answer is -24 < x and the sign didn't change because we didn't divide by a negative.
<u>Complete Question:</u>
Corinne is taking a train into the city. The train travels at a rate of 45 miles per hour. Which quantity depends on the other?
A. The distance traveled depends on the number of hours traveled.
B. The number of hours traveled depends on the speed of the train.
C. The speed of the train depends on the distance traveled.
D. The speed of the train depends on the number of hours traveled.
<u>Answer:</u>
Corinne is taking a train into the city. The train travels at a rate of 45 miles per hour. The distance traveled depends on the number of hours traveled
<u>Step-by-step explanation:</u>
As we know the velocity can de defined as the rate of change of position of objects in a particular time. The formula is given by,

Here, in the question, rate of speed of train is given as 45 miles per hour. if we keep the velocity as constant one, then distance is directly proportionate to the travelled time

If 'v' is constant,

By this we can conclude that, the distance travelled by the train depends on the time taken to travel to it. Hence option A would be the correct one.