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3 years ago

11

Lana will sew 2 blankets for each of her grandchildren. write an equation to represent how many blankets (b) Lana will sew for (

g) grandchildren?

2 answers:

Elza [17]3 years ago

6 0

The person before me is correct, the answer is: g=2b

juin [17]3 years ago

4 0

Answer:

It is two blankets per grandchild so you just multiply the 2 and the b and it equals g.

Step-by-step explanation:

g=2b

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mojhsa [17]

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3 years ago

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DaniilM [7]

Answer:

17.6

Step-by-step explanation:

19sin(68) = 17.6

5 0

3 years ago

In 2012, the world population was 7.02 billion. The birth rate had stabilized to 134 million per year and is projected to remain

xeze [42]

Answer:

$(a)\ \frac{dP}{dt} = 0.078- 0.000857t$

$(b)\ P = 0.078t- 0.0004285t^2 + 7.02$

$(c)\ 9.37\ billion$

Step-by-step explanation:

Given

In 2012

$P(t) = 7.02\ billion$

$R_1 = 134\ million/year$ --- Birth rate

$R_2 = 56\ to\ 80$ -- Death rate from '12 to '40

Solving (a): Equation for population from 2012

In 2012, we have the addition in population to be:

$\triangle P= Birth - Death$

$\triangle P= 134 - 56$

$\triangle P = 78$ million

From 2012 to 2040, we have the death rate per year to be:

$Rate/yr = \frac{80 - 56}{2040 - 2012}$

$Rate/yr = \frac{24}{28}$

$Rate/yr = \frac{6}{7}$ million/year

So, the differential equation is:

$\frac{dP}{dt} = \triangle P - Rate/yr * t$ where t represents time

$\frac{dP}{dt} = 78 - \frac{6}{7} * t$

$\frac{dP}{dt} = 78 - \frac{6t}{7}$

Express in millions

$\frac{dP}{dt} = \frac{78}{1000} - \frac{6t}{7000}$

$\frac{dP}{dt} = 0.078- 0.000857t$

Solving (b): The solution to the equation in (a)

$\frac{dP}{dt} = 0.078- 0.000857t$

Make dP the subject

$dP = (0.078- 0.000857t)dt$

Integrate both sides

$\int dP = \int (0.078- 0.000857t)dt$

$P = \int (0.078- 0.000857t)dt$

This gives:

$P = 0.078t- \frac{0.000857t^2}{2} + c$

$P = 0.078t- 0.0004285t^2 + c$

Solve for c.

When t = 0; P = 7.02

So, we have:

$7.02 = 0.078*0- 0.0004285*0^2 + c$

$7.02 =0-0 + c$

$7.02 =c$

$c = 7.02$

So:

$P = 0.078t- 0.0004285t^2 + c$

$P = 0.078t- 0.0004285t^2 + 7.02$

Solving (c): The population in 2050

We have:

$P = 0.078t- 0.0004285t^2 + 7.02$

In 2050, the value of t is:

$t = 2050 - 2012$

$t = 38$

So, the expression becomes

$P = 0.078*38- 0.0004285*38^2 + 7.02$

$P \approx 9.37\ billion$

3 0

3 years ago

Help me solve this please

Semenov [28]

$\huge\underline{ \underline{ \bf{Answer࿐} }}$

parallel sides measure :

10 ft -(a)
12 ft. -(b)

Area :

44 ft²

height (h) = x

___________________

$\boxed{Area = \frac{1}{2} \times (a + b) \times h}$

$\dfrac{1}{2} \times (10 + 12) \times x = 44$

$\dfrac{1}{2} \times 22 \times x = 44$

$11x = 44$

$\boxed{ 4 \: \: ft}$

Therefore, height of Trapezoid is 4 ft

_____________________________

$\mathrm{ \#TeeNForeveR}$

5 0

3 years ago

PLEASE AND THANK YOUU, u dont have to draw graph btw

enyata [817]

Answer: sqrt(x+1)+4

This is the same as writing $\sqrt{x+1}+4$

The +4 is not under the square root

==========================================================

Explanation:

g(x) is the same as y, since they're both outputs of a function

So we have the starting equation y = (x-4)^2 - 1

Swap x and y and solve for y to get the inverse.

y = (x-4)^2 - 1

x = (y-4)^2 - 1

x+1 = (y-4)^2

(y-4)^2 = x+1

y-4 = sqrt(x+1) ... see note below

y = sqrt(x+1)+4

Note: Recall that $x \ge 4$ and we swapped x and y. This ultimately means $y \ge 4$ and this only occurs if we picked the positive version of the square root (ignoring the negative version).

8 0

3 years ago