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3 years ago

A student evaluated -4 + x for x = 9 1/2 and got an answer of 5 1/2. What might the student have done wrong?

Mathematics

2 answers:

larisa86 [58]3 years ago

8 0

The student did not complete the BEDMAS formula properly

Vikki [24]3 years ago

3 0

-4+x=9.5
x=13.5

The student might have subtracted 9.5-4, which results in the answer 5.5. The correct answer is 13.5.

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A glass is

N76 [4]

Answer:

135ml

Step-by-step explanation:

glass originally 4/12 full

it then became 9/12 full

therefore 75ml = 5/12

75/5= 15ml per 1/12

15x9= 135ml total

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3 years ago

Find a compact form for generating functions of the sequence 1, 8,27,... , k^3

pantera1 [17]

This sequence has generating function

$F(x)=\displaystyle\sum_{k\ge0}k^3x^k$

(if we include $k=0$ for a moment)

Recall that for $|x|$ , we have

$\displaystyle\frac1{1-x}=\sum_{k\ge0}x^k$

Take the derivative to get

$\displaystyle\frac1{(1-x)^2}=\sum_{k\ge0}kx^{k-1}=\frac1x\sum_{k\ge0}kx^k$

$\implies\dfrac x{(1-x)^2}=\displaystyle\sum_{k\ge0}kx^k$

Take the derivative again:

$\displaystyle\frac{(1-x)^2+2x(1-x)}{(1-x)^4}=\sum_{k\ge0}k^2x^{k-1}=\frac1x\sum_{k\ge0}k^2x^k$

$\implies\displaystyle\frac{x+x^2}{(1-x)^3}=\sum_{k\ge0}k^2x^k$

Take the derivative one more time:

$\displaystyle\frac{(1+2x)(1-x)^3+3(x+x^2)(1-x)^2}{(1-x)^6}=\sum_{k\ge0}k^3x^{k-1}=\frac1x\sum_{k\ge0}k^3x^k$

$\implies\displaystyle\frac{x+4x^3+x^3}{(1-x)^4}=\sum_{k\ge0}k^3x^k$

so we have

$\boxed{F(x)=\dfrac{x+4x^3+x^3}{(1-x)^4}}$

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3 years ago

How do you do ratio charts

Alla [95]

Write several instances of the ratio,then plot the ratios as points on the graph

8 0

3 years ago

Read 2 more answers

Paying 20$ cashapp if you get this correct

Ilia_Sergeevich [38]

Answer:

148⁰

Step-by-step explanation:

M< EDF = M< DFE (because the two angles are equal because the triangle has two equal sides)

2x + 8 = 3x + 4

8 – 4 = 3x - 2x

4=x or x=4

So M< EDF= 2x4+8 = 16⁰

So M< EDF + M< DFE= 32⁰

180⁰- 32⁰ = 148⁰

3 0

3 years ago

The ratio of swordfish to marlins caught on a deep sea fishing trip was 20 to 15. If 27 marlins were caught, how many swordfish

Kisachek [45]

20/15=N/27
Do cross multiplication.
20x27=540
540/15=39
So the answer ia 39.

6 0

3 years ago