Convert 20,000ft = ____ mi. ___

A culture started with 5000 bacteria. after 7 hours, it grew to 6500 bacteria. predict how many bacteria will be present after 1

spin [16.1K]

6500=7x+5000

6500-5000=7x+5000-5000

1500=7x

1500/7≈214

x≈214

y=19·214+5000

y=9066

answer=9066 bacteria

4 0

3 years ago

Which could be the first step in simplifying this expression? Check all that apply. (x cubed x Superscript negative 6 Baseline)

PtichkaEL [24]

Answer:

$(x^{-3} )^{2}$

$x^6 x^{-12}$

Step-by-step explanation:

$(x^{3} x^{-6} )^{2}$ is the expression given to be solved.

First of all let us have a look at 3 formulas:

$1.\ p^a \times p^b = p^{(a+b)}\\2.\ (p^a \times q^b)^c = (p^{a})^c \times (q^{b})^c\\3.\ (p^a)^b = p^{a\times b}$

Both the formula can be applied to the expression( $(x^{3} x^{-6} )^{2}$ ) during the first step while solving it.

Applying formula (1):

$(x^{3} x^{-6} )^{2}$

Comparing the terms of $(x^{3} x^{-6} )$ with $p^a \times p^b$

$p=x, a =3, b=-6$

$\Rightarrow x^{3+(-6)}\\\Rightarrow x^{3-6}\\\Rightarrow x^{-3}$

So, $(x^{3} x^{-6} )^{2}$ is reduced to $(x^{-3} )^{2}$

Applying formula (2):

Comparing the terms of $(x^{3} x^{-6} )^{2}$ with $(p^a \times q^b)^c$

$p=q=x, a =3, b=-6, c=2$

$\Rightarrow (x^{3})^2\times (x^{-6})^2\\\text{Applying Formula (3)}\\x^6 x^{-12}$

So, $(x^{3} x^{-6} )^{2}$ is reduced to $x^6 x^{-12}$ .

So, the answers can be:

$(x^{-3} )^{2}$

$x^6 x^{-12}$

8 0

3 years ago

During the period 1985–2012, the projected enrollment B (in thousands of students) in public schools and the projected enrollmen

Zina [86]

The equation that models the difference in the projected enrollments for public schools and private schools as a function of the number of years since 1985 is B - R = (-18.53t^2 + 975.8t + 48140) - (80.8t + 8049) = -18.53t^2 + 975.8t + 48140 - 80.8t - 8049 = -18.53t^2 + 895t + 40091

3 0

3 years ago

What is 3 1/3 divided by 1/3

saveliy_v [14]

Convert 3 1/3 into a improper fraction:
= 10/3

Then flip the other fraction around and multiply them together:
1/3 -> 3/1
(10*3)/(3*1) = 30/3 = (30/3)/(3/3) = 10/1 = 10

The answer is 10

4 0

3 years ago

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Searching for the Brainliest answers for this question!

vaieri [72.5K]

C because if the line Q is 1,5 and 1,8, it would have to be a vertical line, as the X axis doesn’t change. As i know, a vertical line always has a slope of 0, and a horizontal line (which the x-axis is) always has an undefined slope.

3 0

3 years ago

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Convert 20,000ft = ____ mi. ____ ft. ​

Convert 20,000ft = mi. ft.