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2 years ago

What is 10x7 thousands in unit form

1 answer:

4 0

Give the unit form of 10 x 7 thousands
Unit form also means the place value form of the given equation.
=> 10 = the unit form is 1 tens
=> x = multiply or times
=. 7 thousands = 7 thousands is already in unit form but the standard value of this is 7 000
Thus, the unit value of this is:
=> 1 tens times 7 thousands
=> 7 ten thousands
Thus, the unit value of the given number is 7 ten thousands.

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The mass of a colony of bacteria, in grams, is modeled by the function P given by P(t)=2+5tan^−1.(t/2), where t is measured in d

ira [324]

Answer:

1.21 g/day

Step-by-step explanation:

We are given that

The mass of a colony of bacteria (in (grams) is given by

$P(t)=2+5tan^{-1}(\frac{t}{2})$

Where t=Time(in days)

Differentiate w.r.t t

$P'(t)=5(\frac{1}{1+\frac{t^2}{4}}\times \frac{1}{2})$

By using the formula $\frac{d(tan^{-1}(x)}{dx}=\frac{1}{1+x^2}$

$P'(t)=\frac{5}{2}(\frac{4}{4+t^2})$

$P'(t)=\frac{10}{4+t^2}$

We are given P(t)=6

Substitute the value

$6=2+5tan^{-1}(\frac{t}{2})$

$5tan^{-1}(\frac{t}{2})=6-2=4$

$tan^}{-1}(\frac{t}{2})=\frac{4}{5}$

$\frac{t}{2}=tan(\frac{4}{5})$

$t=2tan(\frac{4}{5})$

Substitute the value of t

$P'(2tan\frac{4}{5})=\frac{10}{4+4tan^2(\frac{4}{5})}$

$P'(2tan\frac{4}{5})=\frac{10}{4}\times \frac{1}{1+tan^2(\frac{4}{5})}$

We know that $1+tan^2\theta=sec^2\theta$

Using the formula

$P'(2tan(\frac{4}{5})=\frac{5}{2}\times \frac{1}{sec^2(\frac{4}{5})}$

$P'(2tan\frac{4}{5})=\frac{5}{2}\times cos^2(\frac{4}{5})$

By using $cos^2x=\frac{1}{sec^2x}$

$P'(2tan\frac{4}{5})=\frac{5}{2}\times (0.696)^2=1.21$ g/day

Hence,the instantaneous rate of change of the mass of the colony=1.21g/day

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2 years ago

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The Revenue for the week is $2000, and labor cost consists of two workers earning $8 per hour who work 40 hours each, what is la

kkurt [141]

8*40 = 320 * 2 = $640 for the 2 workers

640/2000 = 0.32

labor cost is 32% of the revenue

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2 years ago

Sammie bought just enough fencing to border either a rectangular plot or a square plot, as shown. The perimeters of the plots ar

Gekata [30.6K]

Perimeter of square : p = 4a.....
p = 4(x + 2)
p = 4x + 8

perimeter of rectangle : p = 2(L + W)
p = 2(3x + 2 + x - 1)
p = 2(4x + 1)
p = 8x + 2

so if the perimeters are te same, lets set them equal to each other and solve for x

4x + 8 = 8x + 2
8 - 2 = 8x - 4x
6 = 4x
6/4 = x
1.5 = x

the square : p = 4x + 8.....p = 4(1.5) + 8.....p = 14 meters
the rectangle : p = 8x + 2....p = 8(1.5) + 2.....p = 14 meters

so she bought 14 meters of fencing <==

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Jorge solves the equation 4x-(x+2)+6

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Answer:

Step-by-step explanation:

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Use the formula t=ln2/k that gives the time for a population, with a growth rate k, to double, to answer the following question.

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Answer:

k = 0.005
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Step-by-step explanation:

Matching the form

A = A0·e^(kt)

to the given equation

A = 8·e^(.005t)

we can identify the value of k as being 0.005.

k = 0.005

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The doubling time is given by the formula ...

t = ln(2)/k = ln(2)/0.005 ≈ 138.63

It will take about 139 years for the population to double.

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