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3 years ago

Choose the best definition for the following phrase: combining like terms (1 point)

1 answer:

4 0

combining like terms in a polynomial is adding or subtracting together terms that have the same degree in the exponents.

example. 3x^3 + 5x^6 + 2x^3 +7x + 9x^6

= 7x + 5x^3 + 14x^6

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Help please..........

Ivenika [448]

Arc FE: 76°
arc DEF: 180°
arc CFD: 284°
arc DFE: 256°

4 0

3 years ago

if you place a 5ft ladder against the top of a 4ft building how many feet will the bottom of the ladder be from the bottom of th

nika2105 [10]

Answer:

3 ft.

Step-by-step explanation:

When you imagine the sentence, it is a right angled triangle. In this case, it's a Pythagoras Theorem. The formula for it is:

a²(opposite) + b²(adjacent) = c²(hypotenuse)

The building is the opposite, the distance between the foot of the ladder and the building is the adjacent, while the ladder is the hypotenuse.

We have the measurements except for the adjacent. So it will be:

c² - a² = b²

5² - 4² = b²

25 - 16 = b²

9 = b²

√9 = b

b = 3 ft

The answer is 3 ft.

5 0

3 years ago

A STORY OF RATIOS

larisa86 [58]

Answer:

dddadad

Step-by-step explanation:

7 0

3 years ago

In a survey of adults aged 57 through 85 years, it was found that 86.6% of them used at least one prescription medication. Com

OleMash [197]

Answer:

a) 272 used at least one prescription medication.

b) The 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication is (85.6%, 87.6%).

Step-by-step explanation:

Question a:

86.6% out of 3149, so:

0.866*3149 = 2727.

272 used at least one prescription medication.

Question b:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 3149, \pi = 0.866$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a p-value of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.866 - 1.645\sqrt{\frac{0.866*0.134}{3149}} = 0.856$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.866 + 1.645\sqrt{\frac{0.866*0.134}{3149}} = 0.876$

For the percentage:

0.856*100% = 85.6%

0.876*100% = 87.6%.

The 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication is (85.6%, 87.6%).

7 0

3 years ago

Simplify (4x − 6) + (3x + 6). 7x 7x − 12 x 7x + 12

noname [10]

Answer:

Step-by-step explanation:

$\left(4x-6\right)+\left(3x+6\right)\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=4x-6+3x+6\\Group\:like\:terms\\=4x+3x-6+6\\\mathrm{Add\:similar\:elements:}\:4x+3x=7x\\=7x-6+6\\-6+6=0\\\\=7x$

5 0

3 years ago