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Katarina [22]
2 years ago
10

fresh+cranberries+have+99%+of+water.+partially+dried+cranberries+have+98%+of+water.+jack+picked+100+pounds+of+cranberries.+how+m

uch+will+they+weight+after+drying?
Mathematics
1 answer:
Mnenie [13.5K]2 years ago
8 0

Answer:

  50 lb

Step-by-step explanation:

Before drying, the cranberries have ...

  (100% -99%)(100 lb) = 1 lb

of "meat."

After drying, that represents (100% -98%) = 2% of the total weight. Then the total weight is ...

  1 lb = 2%·x

  x = (1 lb)/0.02 = 50 lb

The dried cranberries will weigh 50 lb.

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What are all of the real roots of the following polynomial? f(x) = x4 - x3 - 13x2 + x + 12
leonid [27]

We can find roots by setting f(x) = 0 --> x^4 - x^3 - 13x^2 + x + 12 = 0.

Factoring f(x) to make things easier for us gives us (x - 1)(x + 1)(x - 4)(x + 3), which, equal to 0, gives us the ability to set each set of parentheses = 0.

x - 1 = 0 gives us x = 1.

x + 1 = 0 --> x = -1.

x - 4 = 0 --> x = 4.

x + 3 = 0 --> x = -3.

our roots are x = 1, -1, 4, and -3.

3 0
3 years ago
Norma builds a 1/8 scale Model of her own house.Her living room measures 12 feet by 28 feet. What are the dimensions of the mode
Helga [31]

Answer:

1.5 feets by 3.5 feets

Step-by-step explanation:

Scale model = 1/8

Dimension of living room = 12 feets by 28 feets

The dimension of the model using the scale model given :

Scale model * dimension

1/8 * (12 feets by 28feets)

= 1.5 feets by 3.5 feets

6 0
3 years ago
Find the general solution of the nonhomogeneous differential equation x^2y''-2y=3(x^2) -1, (x>0).
Ira Lisetskai [31]

Answer:

G.S=C_1\frac{1}{x}+C_2x^2+x^2logx+\frac{1}{2}

Step-by-step explanation:

We are given that non-homogeneous differential equation

x^2y''-2y=3(x^2)-1

It is Cauchy Euler equation

Substitute x=e^t  x>0

Auxillary equation

D'(D'-1)-2=0

D'^2-D'-2=0

(D'-2)(D'+1)=0

D'-2=0 \implies D'=2

D'+1=0\implies D'=-1

Complementary solution

y=C_1e^{-t}+C_2e^{2t}

y=C_1\frac{1}{x}+C_2x^2

Particular solution

y_p=\frac{3e^{2t}}{D'^2-D'-2}-\frac{e^{0t}}{D'^2-D'-2}

y_p=te^{2t}+\frac{1}{2}=x^2logx+\frac{1}{2}

G.S=C_1\frac{1}{x}+C_2x^2+x^2logx+\frac{1}{2}

Hence, general solution G.S=C_1\frac{1}{x}+C_2x^2+x^2logx+\frac{1}{2}

6 0
4 years ago
The pie chart represents the proportions of how Henry spent the £720 he took on holiday.
Blababa [14]

Answer:

£114

Step-by-step explanation:

Rate brainliest please

\frac{57}{360}  \times 720 = 114

4 0
3 years ago
Find SX if SM=6x-3 and XM=4x-8
Natali [406]

Answer:

10x -11

Step-by-step explanation:

SX =SM + MX

       = 6x-3 + 4x-8

      Combine like terms

        = 10x -11

8 0
3 years ago
Read 2 more answers
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