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3 years ago

HELP!!!! If a scale of 2 in:10 ft is used, how long is an object that is 14 in. long

Mathematics

1 answer:

dedylja [7]3 years ago

3 0

Answer: 70 feet
explanation: 14/2=7 7x10=70

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A triangle has 2 sides of lengths 6 and 9. what value could the 3rd length be

Tpy6a [65]

Anything greater than 4 but less than 9

5 0

3 years ago

Find the solution of the initial value problem<br><br> dy/dx=(-2x+y)^2-7 ,y(0)=0

Leokris [45]

Substitute $v(x)=-2x+y(x)$ , so that $\dfrac{\mathrm dv}{\mathrm dx}=-2+\dfrac{\mathrm dy}{\mathrm dx}$ . Then the ODE is equivalent to

$\dfrac{\mathrm dv}{\mathrm dx}+2=v^2-7$

which is separable as

$\dfrac{\mathrm dv}{v^2-9}=\mathrm dx$

Split the left side into partial fractions,

$\dfrac1{v^2-9}=\dfrac16\left(\dfrac1{v-3}-\dfrac1{v+3}\right)$

so that integrating both sides is trivial and we get

$\dfrac{\ln|v-3|-\ln|v+3|}6=x+C$

$\ln\left|\dfrac{v-3}{v+3}\right|=6x+C$

$\dfrac{v-3}{v+3}=Ce^{6x}$

$\dfrac{v+3-6}{v+3}=1-\dfrac6{v+3}=Ce^{6x}$

$\dfrac6{v+3}=1-Ce^{6x}$

$v=\dfrac6{1-Ce^{6x}}-3$

$-2x+y=\dfrac6{1-Ce^{6x}}-3$

$y=2x+\dfrac6{1-Ce^{6x}}-3$

Given the initial condition $y(0)=0$ , we find

$0=\dfrac6{1-C}-3\implies C=-1$

so that the ODE has the particular solution,

$\boxed{y=2x+\dfrac6{1+e^{6x}}-3}$

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B1000%7D%20%2B%20%5Csqrt%5B3%5D%7B0.027%7D%20-%20%5Csqrt%5B3%5D%7B125%7D" id="

e-lub [12.9K]

Step 1: calculate the cube roots, convert the decimal into a fraction, and calculate the cube roots again

10 + 3 square root 27/1000 - 5

Step 2: calculate the cube root

10 + 3/10 -5

Step 3: subtract the #’s

5 + 3/10

Step 4: calculate and you get

53/10

Answer: 53/10

3 0

3 years ago

PLssssss only need help with questions 2 and 4. I Will also give brianlist

inessss [21]

Answer:

First oneB Second one A

Step-by-step explanation:

3 0

3 years ago

I need help finding the area

Kitty [74]

Make drawing (see attachment)
do big rectangle minus triangle

big rectangle area=lenght timess width=22 times 33=726 square feet
triangle=1/2 times base times height=1/2 times 9 times 10=45 square feet

rectangle-triangle=726-45=681 square feet

4 0

3 years ago