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2 years ago

I need help with this what would k be? Or is she correct

Mathematics

1 answer:

charle [14.2K]2 years ago

3 0

Answer:

The value of k=1

So, Maura claim is incorrect. The value of k=1 and not k=1/2

Step-by-step explanation:

We need to determine the value of k if $2^4=16^k$

We are given:

$2^4=16^k$

Exponent rule, if bases are equal the exponents are equal

We can write $16= 2^4$

$2^4=(2^4)^k\\2^4=2^{4k}$

Now since the base is same, i,e 2 so, the exponents will be same

$4=4k\\k=1$

So, the value of k=1

So, Maura claim is incorrect. The value of k=1 and not k=1/2

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You can walk 3 miles per hour, jog 5 miles per hour, or run 10 miles per hour. You go a full hour before changing pace. At the e

Studentka2010 [4]

Answer:

b. How many ways arc there to go 12 miles?

≡ p(12) = 25

c. How many ways arc there to go 20 miles?

≡ p(20) = 131

d. How many ways arc there to go 22 miles?

≡p(22) 199

Step-by-step explanation:

a) supposed you walked for the first hour. Then you would have travelled 3 miles. if you jogged you would have covered 5miles and if you run you would have covered 10miles. now you have to decide how to run the rest miles from the n miles.

Thus, the number of ways one can cover n miles will be given by the recurrence relation

p(n) = p( n-3) + p( n-5) + p( n - 10)

now to solve the rest of the question, let us make a table which provides the number of ways for n = 1 to 22.

check the attachment for the table

b. How many ways arc there to go 12 miles?

≡ p(12) = 25

c. How many ways arc there to go 20 miles?

≡ p(20) = 131

d. How many ways arc there to go 22 miles?

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8 0

2 years ago

one x-intercept for a parabola is at the point (2, 0). use the quadratic formula to find the other x-intercept for the parabola

omeli [17]

Answer:

Step-by-step explanation:

There are 3 ways to find the other x intercept.

1) Polynomial Long Division.

Divide x^2 - 3x + 2 by the binomial x - 2, because by the Factor Theorem if a is a root of a polynomial then x - a is a factor of said polynomial.

2) Just solving for x when y = 0, by using the quadratic formula.

$x^2 - 3x + 2 = 0\\x_{12} = \frac{3 \pm \sqrt{9 - 4(1)(2)}}{2} = \frac{3 \pm 1}{2} = 2, 1$ .

So the other x - intercept is at (1, 0)

3) Using Vietta's Theorem regarding the solutions of a quadratic

Namely, the sum of the solutions of a quadratic equation is equal to the quotient between the negative coefficient of the linear term divided by the coefficient of the quadratic term.

$x_1 + x_2 = \frac{-b}{a}$

And the product between the solutions of a quadratic equation is just the quotient between the constant term and the coefficient of the quadratic term.

$x_1 \cdot x_2 = \frac{c}{a}$

These relations between the solutions give us a brief idea of what the solutions should be like.

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2 years ago

Im so confused pls help

timama [110]

Answer:

a = 49°

Explanation:

You use the rule ‘exterior angle of a triangle’ which states that the exterior angle is equal to the sum of the two opposite interior angles.

To put it mathematically:

a + a = a + 49° (Ext angles of triangle)
a = a - a + 49°
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2 years ago