Harvey practiced the piano for 5/8 hour.Annika practiced the piano for 5/6 of an hour.

Mathematics

2 answers:

Yuri [45]3 years ago

6 0

1 11/24 is the answer for 5/8 +5/6

Vanyuwa [196]3 years ago

3 0

If you want to know what this is simplified or who did more what you do is you find the least common denominator AKA (LCD) In this case it's 48. This means that Harvey practiced piano for 30/48 of an hour and Annika practiced for 40/48.

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Let f(x) = 1/x . Find the number b such that the average rate of change of f on the interval [2, b] is − 1/8

vekshin1

Answer:

b=4

Step-by-step explanation:

So, we have the function $f(x)=1/x$ . We need to find b such that the average rate of change or the slope is -1/8 between the intervel [2, b]. First, let's find f(2).

f(2) = 1/(2) = 1/2

So, we have the point (2, 1/2)

At point b, f(b) = 1/b.

Let's plug this into the slope formula:

$\frac{y_2-y_1}{x_2-x_1}=\frac{.5-\frac{1}{b} }{2-b} =-1/8$

Now, we just need to solve for b. First, let's multiply both the numerator and denominator by b (to get rid of the annoying fraction in the numerator).

$\frac{.5b-1}{2b-b^2} =\frac{-1}{8}$

Now, cross multiply.

$4b-8=b^2-2b$

$b^2-6b+8=0$

Solve for b. Factor using the numbers -4 and -2.

$=(b-4)(b-2)=0$

Thus, b=4 or b=2.

However, b=2 is not a possible solution since the interval [2,2] means nothing. Thus, b=4.

4 0

3 years ago

Triangles ABC and DEF have the following characteristics B and Eare right angles A = D BC = EF which congruence theorem can be u

kvasek [131]

AAS Angles A and D are one pair of congruent angles, then angles B and E are congruent because they are both right angles, following that you have line BC as congruent to EF so that is an angle, an angle, and a side so AAS

Read more on Brainly.com - brainly.com/question/7297105#readmore

6 0

3 years ago

Solve this problem please :)

zvonat [6]

The Answer is B 8/3 :)

4 0

3 years ago

Daniel wanted to know his approximate score on the final exam for his mathematics class. His professor hinted that his score was

frozen [14]

Answer: 101.69

Step-by-step explanation:

Formula we use to find the z-score :-