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3 years ago

15

If a polynomial is divided by a binomial and the remainder is zero, what does that tell you about the relationship between the b

inomial and the polynomial?

1 answer:

OleMash [197]3 years ago

5 0

Answer:

Step-by-step explanation:

The binomial is a factor of the polynomial.

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Write a division problem that has a quotient of 1/20

alexdok [17]

Answer:

5 divided by 100

Step-by-step explanation

5 divided by 100 is 0.05 but as a fraction, it's 1/20

6 0

3 years ago

Find the distance from A to C

Vedmedyk [2.9K]

Answer: 11 because the distance between A-B is 8 so because it says it on top, then add 3 to it from B to C

5 0

3 years ago

Researchers at the Centers for Disease Control and Prevention have been studying the decay pattern of a new virus with a decay r

koban [17]

The Researcher will find 69 viruses, because 231 viruses are decayed in 7 hours, if a virus with a decay rate of 19% per hour and they start with 300 viruses.

Step-by-step explanation:

The given is,

A new virus with a decay rate of 19% per hour

They start with 300 viruses

Step:1

Formula to calculate the viruses at decay rate,

$y = A(1-r)^{t}$ ............................(1)

Where, y - No of viruses after given time

A - Viruses at initial stage

r - Decay rate

t - No. of hours

From the given,

A = 300

r = 19% per hour

t = 7 hours

Equation (1) becomes,

$y = 300(1-0.19)^{7}$

$= 300(0.81)^{7}$

$= 300(0.228767)$

$= 68.63$

Viruses of 7 hours ≅ 69 viruses

( or )

Step:1

For 1st hour,

= (No.of viruses in hour) - (No,of viruses in last hour × Decay rate )

= (300)-(300 × 0.19)

= 300 - 57

= 243

For 2nd hour,

= (243)-(243 × 0.19)

= 243 - 46.17

= 196.83

For 3rd hour,

= (196.83)-(196.83 × 0.19)

= 196.83 - 37.39

= 159.4323

For 4th hour,

= (159.4323)-(159.4323 × 0.19)

= 159.4323 - 30.2921

= 129.1402

For 5th hour,

= (129.1402)-(129.1402 × 0.19)

= 129.1402 - 24.5366

= 104.6035

For 6th hour,

= ( 104.6035)-( 104.6035 × 0.19)

= 104.6035 - 19.8747

= 84.7288

For 7th hour,

= (84.7288)-(84.7288 × 0.19)

= 84.7288 - 16.0984

= 68.63 viruses

Result:

The Researcher will find 69 viruses, because 231 viruses are decayed in 7 hours, if a virus with a decay rate of 19% per hour and they start with 300 viruses.

7 0

3 years ago

Sorry if it is blurry but can someone help me 14 through 18

garri49 [273]

I believe number 14 is asking where the points are located. If so D (-3,-3) E(-3,-2) G(4,1) F(4,2)

5 0

3 years ago

When Lila conducted an experiment on citywide pond water, all of her samples came from the pond in her uncle's backyard. Explain

liq [111]

Her area of study is too narrow. There are other sources of water in the city that she is not considering. So her sample is too biased leaning toward the Uncle's pond water, and that leaves out every other source. We say that the Uncle's source of water is over-represented while the other sources are completely under-represented.

Let's put it this way: We have a hypothetical city that has 100 acres of pond water either in or surrounding the city limits. If the Uncle's pond only represents 1% of this, then she's ignoring the other 99% of the ponds.

What Lila needs to do to to fix this error is to draw up a map of each major pond and mark those ponds with numbers 001,002,...998,999. In this example, there are 999 ponds. Then she needs to either use a random number table or computer software to help randomly generate values to help select the ponds. Doing so will ensure that she spans a good portion of the city and not stay focused on just the narrow area of her Uncle's backyard.

The reason why she needs to enlarge her area of study is because the results of her Uncle's pond study may lead to the wrong conclusion of the city overall. Let's say his pond is contaminated somehow, and it's only his pond that's the unfortunate one. She would likely see the pond is contaminated and conclude that the whole city's water is ruined as well, which isn't the case. Or we could have nearly the entire city's pond water in trouble, but her Uncle's pond is one of the lucky ponds not to get contaminated. We can see that Lila would likely conclude that no action needs to be taken to clean up the city's water sources, which is also not the case.

If Lila only cared about her Uncle's pond, then that pond (and perhaps immediate close surrounding area) would be her population of study. However, her study is about citywide pond water which is why she needs to extend to other places in the city or in the outer surrounding areas.

8 0

3 years ago