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3 years ago

The garden is 6 feet wide and has a diagonal length of 10 feet what is the length in feet?

Mathematics

1 answer:

BigorU [14]3 years ago

5 0

Answer:

Step-by-step explanation:

$10^{2}$ - $6^{2}$ = 100 - 36 = 64

$\sqrt{64}$ = 8

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Graph this function: y–3= – (x+10) <br> Click to select points on the graph.

Nikolay [14]

Answer:

See below

Step-by-step explanation:

We can simply use a graphing calculator to graph the function

$\boxed{y-3 = -(x+10)}$

See in the attached file!

7 0

2 years ago

The population, P(t), of China, in billions, can be approximated by1 P(t)=1.394(1.006)t, where t is the number of years since th

vitfil [10]

Answer:

At the start of 2014, the population was growing at 8.34 million people per year.

At the start of 2015, the population was growing at 8.39 million people per year.

Step-by-step explanation:

To find how fast was the population growing at the start of 2014 and at the start of 2015 we need to take the derivative of the function with respect to t.

The derivative shows by how much the function (the population, in this case) is changing when the variable you're deriving with respect to (time) increases one unit (one year).

We know that the population, P(t), of China, in billions, can be approximated by $P(t)=1.394(1.006)^t$

To find the derivative you need to:

$\frac{d}{dt}\left(1.394\cdot \:1.006^t\right)=\\\\\mathrm{Take\:the\:constant\:out}:\quad \left(a\cdot f\right)'=a\cdot f\:'\\\\1.394\frac{d}{dt}\left(1.006^t\right)\\\\\mathrm{Apply\:the\:derivative\:exponent\:rule}:\quad \frac{d}{dx}\left(a^x\right)=a^x\ln \left(a\right)\\\\1.394\cdot \:1.006^t\ln \left(1.006\right)\\\\\frac{d}{dt}\left(1.394\cdot \:1.006^t\right)=(1.394\cdot \ln \left(1.006\right))\cdot 1.006^t$

To find the population growing at the start of 2014 we say t = 0

$P(t)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^t\\P(0)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^0\\P(0)' = 0.00833901 \:Billion/year$

To find the population growing at the start of 2015 we say t = 1

$P(t)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^t\\P(1)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^1\\P(1)' = 0.00838904 \:Billion/year$

To convert billion to million you multiple by 1000

$P(0)' = 0.00833901 \:Billion/year \cdot 1000 = 8.34 \:Million/year \\P(1)' = 0.00838904 \:Billion/year \cdot 1000 = 8.39 \:Million/year$

6 0

2 years ago

What is the range of the function f(x) = 12 − 3x for the domain {-4, -2, 0, 2, 4}?

Sphinxa [80]

Answer:

{24, 18, 12, 6, 0} is the range of the above function

Step-by-step explanation:

solution:

let, x= -4

f(-2) = 12-3*(-2)

= 12+12

=24

let,x= -2

f(-2) = 12-3*(-2)

=12+6

let,x =0

f(0)= 12-3*0

=12-0

=12

let,x=2

f(2) = 12-3*2

=12-6

let,x=4

f(4) = 12-3*4

=12-12

4 0

3 years ago

Troy received a gift of 100 shares of stock from his grandmother on July 1 of the current year. Troy's grandmother had owned the

kumpel [21]

Troy has a basis of $39 per share

total value of shares is $3900

Step-by-step explanation:

On July 1, the date of the gift, the stock was selling for $39 per share.

Troy's basis in the stock = current value of shares

No need to consider the base rate which is in 15 years ago

The current rate of 100 shares = $39 × 100 = $3900

Troy has a basis of $39 per share

total value of shares is $3900

4 0

3 years ago

14/15 minus 1/3 as a fraction in simplest form

eduard

First step: Create a common denominator with 1/3

1/3 x 5/5 = 5/15

Second step: Subtract

14/15

-5/15

_____

a: 9/15

4 0

3 years ago

Read 2 more answers