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2 years ago

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A 5 inch bamboo shoot doubles in height every 3 days. if the equation y=ab^x , where x is the number of doubling periods, repres

ents the height of the bamboo shoot, what are the values of a and b?

1 answer:

Eddi Din [679]2 years ago

6 0

Answer = a = 5 b = 3

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Alvin takes pictures with his smartphone. Of the pictures 5/6 are animals. 3/4 of the animals are dogs. What fraction of the pic

ollegr [7]

Answer:

$\dfrac{5}{8}$

Step-by-step explanation:

Alvin takes pictures with his smartphone.

Of the pictures $\frac{5}{6}$ are animals.

$\frac{3}{4}$ of the animals are dogs.

To find which fraction of all pictures are pictures with dogs, you can simply multiply two fractions:

$\dfrac{5}{6} \times \dfrac{3}{4} =\dfrac{15}{24} =\dfrac{5}{8}$

<u>Another way</u> to solve this question:

Let the number of all pictures be 24 (divisible by both 4 and 6).

Then the number of pictures with animals is

$\dfrac{5}{6} \times 24=5\times 4=20$

and the number of pictures with dogs is

$\dfrac{3}{4} \times 20=3\times 15$

Hence, the fraction of pictures with dogs of all pictures is

$\dfrac{15}{24}=\dfrac{5}{8}$

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2 years ago

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What is 2 2/3 x 15 plz help for my hw

SIZIF [17.4K]

The answer is 40.You should change the 2 2/3 to improper fraction and the times it with 15.

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3 years ago

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) How many kilowatt hours would the model predict on a day that has 14 hours of possible daylight?

eimsori [14]

Question:

A solar power company is trying to correlate the total possible hours of daylight (simply the time from sunrise to sunset) on a given day to the production from solar panels on a residential unit. They created a scatter plot for one such unit over the span of five months. The scatter plot is shown below. The equation line of best fit for this bivariate data set was: y = 2.26x + 20.01

How many kilowatt hours would the model predict on a day that has 14 hours of possible daylight?

Answer:

51.65 kilowatt hours

Step-by-step explanation:

We are given the equation line of best fit for this data as:

y = 2.26x + 20.01

On a day that has 14 hours of possible daylight, the model prediction will be calculated as follow:

Let x = 14 in the equation.

Therefore,

y = 2.26x + 20.01

y = 2.26(14) + 20.01

y = 31.64 + 20.01

y = 51.65

On a day that has 14 hours of daylight, the model would predict 51.65 kilowatt hours

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2 years ago

What does object in geometry mean

agasfer [191]

Answer:

It is the value of a variable

Step-by-step explanation:

In usual language of mathematics, an object is anything that has been (or could be) formally defined

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2 years ago

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According to the Rational Root Theorem, which function has the same set of potential rational roots as the function g(x) = 3x5 –

SVETLANKA909090 [29]

We have to identify the function which has the same set of potential rational roots as the function $g(x)= 3x^5-2x^4+9x^3-x^2+12$ .

Firstly, we will find the rational roots of the given function.

Let 'p' be the factors of 12

So, p= $\pm 1, \pm 2, \pm 3, \pm 4, \pm 6$

Let 'q' be the factors of 3

So, q= $\pm 1, \pm 3$

So, the rational roots are given by $\frac{p}{q}$ which are as:

$\pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm \frac{1}{3}, \pm \frac{2}{3}, \pm \frac{4}{3}$ .

Consider the first function given in part A.

f(x) = $3x^5-2x^4-9x^3+x^2-12$

Here also, Let 'p' be the factors of 12

So, p= $\pm 1, \pm 2, \pm 3, \pm 4, \pm 6$

Let 'q' be the factors of 3

So, q= $\pm 1, \pm 3$

So, the rational roots are given by $\frac{p}{q}$ which are as:

$\pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm \frac{1}{3}, \pm \frac{2}{3}, \pm \frac{4}{3}$ .

Therefore, this equation has same rational roots of the given function.

Option A is the correct answer.

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2 years ago

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