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2 years ago

What does not represent the quotient of 17 divided by 10?

Mathematics

1 answer:

JulijaS [17]2 years ago

6 0

Answer:

Step-by-step explanation:

The quotient of 17 divided by 10 is the fraction 17/10 or simplified 1 7/10, 1.7 or 1 R 7. It is NOT 10 / 17. C is the correct answer since it does not represent the quotient described.

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How to solve 1/4 - -4/3 - -1 2/9

Ahat [919]

Answer:

2 29/36

Step-by-step explanation:

So circle the two signs., so the problem is now this:

1/4+4/3+1 2/9

Then you find the GCM, or Greatest Common Denominator.

It is 36. Then, you re-write the new answers

9/36+ 48/36+ 1 18/36

Now we have this:

1 65/36

The answer is 2 29/36

8 0

2 years ago

Use algebra to simplify the expression before evaluating the limit. In particular, factor the highest power of n from the numera

bija089 [108]

Answer:

a) {2/n²-7/n+9}/{8+2/n-6/n²}

b) 9/8

c) The sequence converges

Step-by-step explanation:

Given the limit of the function

limn→[infinity]2−7n+9n²/8n²+2n−6

To simplify the function given, we will have to factor out the highest power of n which is n² from the numerator and the denominator. The function will then become;

2−7n+9n²/8n²+2n−6

= n²{2/n²-7/n+9}/n²{8+2/n-6/n²}

The n² at the numerator will then cancel out the n² at the denominator to have resulting simplified equation as;

{2/n²-7/n+9}/{8+2/n-6/n²}

Evaluating the limit of the resulting equation will give;

limn→[infinity] {2/n²-7/n+9}/{8+2/n-6/n²}

Note that limn→[infinity] a/n = 0 where a is any constant.

Therefore;

limn→[infinity] {2/n²-7/n+9}/{8+2/n-6/n²}

= (0-0+9)/(8+0-0)

= 9/8

Since the limit of the sequence gives a finite value which is 9/8, thus the sequence in question is a convergent sequence.

The limit of a sequence only diverges if the limit of such sequence is an infinite value.

5 0

3 years ago

A baker uses 1/2 cup of sugar to make 7/8 of a batch of brownies. How many

Verizon [17]

Answer:

5/8 of a cup

Step-by-step explanation:

8 0

2 years ago

How can I solve this? Please use the simplest format

IgorLugansk [536]

Answer:

option D is true.

Step-by-step explanation:

The right-angled triangle is shown.

From the right-angled triangle,

The angle Ф = 60°

We know that the trigonometric ratio

tan Ф = opposite / adjacent

opposite = 4

adjacent = n

Thus,

tan 60 = 4 / n

√3 = 4/n

n = 4/√3

Thus,

n = 4/√3

= (4 × √3) / (√3 × √3)

= 4√3 / 3

Thus,

n = 4√3 / 3

Using Pythagorean theorem

m = √n²+4²

$m=\sqrt{\left(4\cdot \frac{\sqrt{3}}{3}\right)^2+4^2}$

$m=\sqrt{\frac{4^2}{3}+4^2}$

$m=\sqrt{\frac{64}{3}}$

$m=\frac{8}{\sqrt{3}}$

$m=\frac{8\sqrt{3}}{3}$

Thus,

$m=\frac{8\sqrt{3}}{3}$

n = 4√3 / 3

Therefore, option D is true.

3 0

2 years ago

Suppose that P(A) = 0.25 and P(B) = 0.40 . If P(A|B)=0.20 , what is P(B|A) ?

Ket [755]

Answer:

0.32

Step-by-step explanation:

Use of formula:

P(A and B) = P(A)*P(B|A) and
P(A and B) = P(B)*P(A|B)

According to above and based on given:

P(A)P(B|A) = P(B)P(A|B)
P(B|A) = P(A|B)*P(B)/P(A)
P(B|A) = 0.20*0.40/0.25 = 0.32

8 0

2 years ago