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IrinaK [193]
3 years ago
11

How many terms are in the expansion (a + b)20

Mathematics
2 answers:
il63 [147K]3 years ago
8 0

Answer: 2 when you expand it.

Romashka [77]3 years ago
5 0

Answer:

3, but if you try to simplify 2.

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One gram of a certain health food contains 7 percent of the minimum daily requirement of vitamin E and 3 percent of the minimum
Liula [17]

Answer:

Approximately 34 grams of the healthy food

Step-by-step explanation:

For know the minimum value to be eaten daily to provide the requirement of both vitamins, is necessary to calculate the minimum value for every vitamin, so:

  • vitamin E: We are going to use the rule of three in which 1 gram have 7% of the minimum daily requirement, then how many grams are going to be be the 100% of the daily requirement:

1 gram --------------7%

X grams -----------100%

X=\frac{1 gram* 100}{ 7 } = 14.285 grams

So, it is necessary approximately 15 grams of healthy food to complete th 100% of the minimum daily requirement of vitamin E.

  • vitamin A: We are going to use the rule of three in which 1 gram have 3% of the minimum daily requirement, then how many grams are going to be be the 100% of the daily requirement:

1 gram --------------3%

X grams -----------100%

X=\frac{1 gram* 100}{ 3 } = 33.33 grams

So, it is necessary approximately 34 grams of healthy food to complete th 100% of the minimum daily requirement of vitamin E.

Finally for satisfy with both minimum daily requirement, we need to eat at least 34 grams of healthy food, because it is the maximum between the two X values.

3 0
4 years ago
If you were asked to convert 75 m/s to km/hr, which conversation factors would you need to use. Select all that apply.
Vilka [71]

Answer:

You need to use A, B, and C.

Step-by-step explanation:

Let's treat the units as variables. I'll illustrate why in a moment.

75 m/s =\frac{75m}{1s} \\\\\frac{75m}{1s}*\frac{1km}{1000m}=\frac{75m*km}{1000m*s}\\\\\frac{75m*km}{1000m*s}*\frac{60s}{1min}=\frac{(75*60)m*km*s}{1000m*s*min}\\\\\frac{4500m*km*s}{1000m*s*min}*\frac{60min}{1h}=\frac{4500m*km*s*min}{1000m*s*min*h}

Now, as you can see, we have a giant mess of units to deal with. This is where we can treat the units like separate variables and use a bit of algebra to make our lives easier:

\frac{4500m*km*s*min}{1000m*s*min*h}=\frac{4500}{1000}*\frac{m*km*s*min}{m*s*min*h}\\\\\frac{4500}{1000}*\frac{m*km*s*min}{m*s*min*h}=\frac{4500}{1000}*\frac{m}{m}*\frac{km}{1}*\frac{s}{s}*\frac{min}{min}*\frac{1}{h}\\\\\frac{4500}{1000}*\frac{m}{m}*\frac{km}{1}*\frac{s}{s}*\frac{min}{min}*\frac{1}{h}=\frac{4500}{1000}*\frac{m*km*s*min}{m*s*min*h}=\frac{4500}{1000}*1*\frac{km}{1}*1*1*\frac{1}{h}\\\\\frac{4500}{1000}*1*\frac{km}{1}*1*1*\frac{1}{h}=\frac{4500}{1000}*\frac{km}{h}\\

\frac{4500}{1000}*\frac{km}{h}=\frac{45}{1}*\frac{km}{h}=45 \frac{km}{h}

So, backtracking through that entire mess, we had to use \frac{1km}{1000m} ,\frac{60s}{1min} ,\frac{60min}{1h}.

These correspond to the options of A, C, and B accordingly.

So you need to use A, B, and C.

8 0
3 years ago
On the blueprint of a house, 39 millimeters represents 6 meters. The actual length of the living room is 4 meters. What is its l
Alla [95]
4/6=0.6666666667
0.6666666667×39=26 millimeters
3 0
4 years ago
WILL GIVE BRAINLIEST PLZ HELP I AM TIMED
Elenna [48]

Answer:

C

Step-by-step explanation:

Cause the other one are minus

6 0
3 years ago
Read 2 more answers
While on vacation in Mexico Jeremiah reads a distance marker that indicates he is 89 kilometers from Juarez. If 1 mile is approx
Sedbober [7]

Answer:

Distance  between Jeremiah and  Juarez is 55.3 miles

Step-by-step explanation:

We are given

1 mile is approximately 1.61 kilometers

so,

1.61 km =1 mile

we can divide both sides by 1.61

1km=\frac{1}{1.61}mile

now, to find for 89 km

we can multiply both sides by 89

89\times 1km=89\times\frac{1}{1.61}mile

now, we can simplify it

and we get

89 km =55.2795 mile

so, nearest tenth is

89 km =55.3 mile

So,

Distance  between Jeremiah and  Juarez is 55.3 miles


6 0
3 years ago
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