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taurus [48]
3 years ago
10

Convert pounds to ounces to complete the table.

Mathematics
1 answer:
True [87]3 years ago
4 0

1 : 16

2 : 32

4 : 64

6 : 96

12 : 192

You find these by multiplying the pounds by ounces

So, 2 pounds * 16 ounces = 32 ounces.

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Given the two points (0,4) and (2, 6), what would the numerator of the equation for slope be?
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6-4 because the equation for slope is m=y2-y1/x2-x1
6 0
3 years ago
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Solve the following ODE's: c) y* - 9y' + 18y = t^2
Nastasia [14]

Answer:

y = C_1e^{3t}+C_2e^{6t} + \dfrac{1}{18}(t^2+\frac{2t}{6} + \frac{2}{36}+\frac{2t}{3}+\frac{2}{18}+\frac{2}{9})

Step-by-step explanation:

y''- 9 y' + 18 y = t²

solution of ordinary differential equation

using characteristics equation

m² - 9 m + 18 = 0

m² - 3 m - 6 m+ 18 = 0

(m-3)(m-6) = 0

m = 3,6

C.F. = C_1e^{3t}+C_2e^{6t}

now calculating P.I.

P.I. = \frac{t^2}{D^2 - 9D +18}

P.I. = \dfrac{t^2}{(D-3)(D-6)}\\P.I. =\dfrac{1}{18}(1-\frac{D}{3})^{-1}(1-\frac{D}{6})^{-1}(t^2)\\P.I. =\dfrac{1}{18}(1-\frac{D}{3})^{-1}(1+\frac{D}{6}+\frac{D^2}{36}+....)(t^2)\\P.I. =\dfrac{1}{18}(1-\frac{D}{3})^{-1}(t^2+\frac{2t}{6} + \frac{2}{36})\\P.I. =\dfrac{1}{18}(1+\frac{D}{3}+\frac{D^2}{9}+....)(t^2+\frac{2t}{6} + \frac{2}{36})\\P.I. =\dfrac{1}{18}(t^2+\frac{2t}{6} + \frac{2}{36}+\frac{2t}{3}+\frac{2}{18}+\frac{2}{9})

hence the complete solution

y = C.F. + P.I.

y = C_1e^{3t}+C_2e^{6t} + \dfrac{1}{18}(t^2+\frac{2t}{6} + \frac{2}{36}+\frac{2t}{3}+\frac{2}{18}+\frac{2}{9})

7 0
3 years ago
Prove This :<br><br>sin(A+B)+sin(A−B)=2sinA⋅cosB​
MaRussiya [10]

Answer:

We know

sin (A + B) = sin A cos B + cos A sin B

sin (A - B) = sin A cos B - cos A sin B

(A + B) + sin (A - B)

= sin A cos B + cos A sin B + sin A cos B - cos A sin B

= sin A cos B + sin A cos B

= 2 sin A cos B

3 0
3 years ago
Two angle measure of a quadrilateral 90 and 90. What could the measure of the other two angle be?
kompoz [17]
So, I think that your answer will be D because it has to end at a degree of 180
7 0
4 years ago
Two numbers, a and b, have a sum of 24. The
mina [271]

Answer:

a= -12 and b=36

Step-by-step explanation:

a+b=24 and 3a+b

a-3a+b=24

-2a+b-b=24

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a= -12

then substitute the value of a in a+b=24 to get the value of b

so let see -12+b=24

b=24+12

b=36

we can check it by the equation -2a+b-b=24

-2(-12)+36-36=24

24=24 so as you have seen the answer is correct

thanks!!!

7 0
3 years ago
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