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3 years ago

Factor completely: 10a2 - 15a + 4ab - 6b.

Mathematics

1 answer:

svet-max [94.6K]3 years ago

4 0

Answer:

<em>A</em>

Step-by-step explanation:

$10 {a }^{2} - 15a + 4ab - 6b \\ 5a(2a - 3) + 2b(2a - 3) \\ (5a + 2b)(2a - 3)$

hopefully it makes sense

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According to the National Education Association (NEA), teachers generally spend more than 40 hours each week working on instruct

abruzzese [7]

Answer:

The median number of hours worked per week for the sample of 13 high school science teachers is 52.

Step-by-step explanation:

Median of a data set:

The median of a data set is the element that separates the lower 50% of the set from the upper 50%.

If the cardinality n of the set is odd, the median is the element at the position (n+1)/2 of the sorted sed.

If the cardinality n of the set is even, the median is the mean between the elements at the position n/2 and (n/2)+1 of the sorted sed.

In this question:

Hours worked for the sample of 13 high school science teachers:

55, 58, 52, 52, 56, 59, 48, 63, 52, 52, 50, 52, 56

Sorting in an ascending way:

48, 50, 52, 52, 52, 52, 52, 55, 56, 56, 58, 59, 63

Cardinality of 13, so odd, the median is the element at the 13+1/2 = 7th position of the sorted set, which is 52.

The median number of hours worked per week for the sample of 13 high school science teachers is 52.

8 0

3 years ago

How can I solve this?<br>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

3 years ago

Mai travels 90 miles in 2 hours by boat. At this rate,how far does Mai go in 3 hours?

Marysya12 [62]

Answer:

135 miles in 3 hours

Step-by-step explanation:

5 0

3 years ago

Which of the following is a binomial?. c2 + c + 6. c2 - 16. -8c. c3 + 4c2 - 12c + 7. Which of the following is a monomial?. c2 +

vlabodo [156]

A monomial has one term, binomial has two terms, trinomial has three terms, and a polynomial has four or more terms.

Therefore, in the first question, c2-16 is the binomial while -8c is the monomial in the second question.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

7 0

3 years ago

How to solve n²-10n+22=-2

Aliun [14]

It's almost solved. Just move the -2 to the other side.
n^2-10n+22=-2
n^2-10n+24 done!

7 0

3 years ago