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Ulleksa [173]
3 years ago
8

In exercises 5–8, determine if the columns of the matrix form a linearly independent set. Justify each answer.

Mathematics
1 answer:
Nataly [62]3 years ago
6 0

we need more information


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How do you do this?<br> Please help
Assoli18 [71]

Answer:

36 pencils

Step-by-step explanation:

Let h and p represent the number of highlighters and the number of pencils, respectively.

Then h + p = 45, and h = 45 - p.

Tom paid a total of $30 for these supplies, with ($2/highligher)(h) + ($0.333/pencil) adding up to that amount.

substituting 45 - p for h in 2h + 0.333p = 30, we get:

2(45 - p) + 0.333p = 30, or

90 - 2p + 0.333p = 30

Combine the constants:  60 = 2p - 0.333p, or 60 = 1.667p

Then p = 60/1.667 = 35.9928, or 36.

Tom bought 36 pencils for $12, and 45-36, or 9, highlighters for $18, for a total purchase of $30.  This shows that these calculations are correct.

7 0
2 years ago
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What's 13/20 converted into a decimal
vivado [14]
.65 

13/20
Just simply divide and you get .65
6 0
3 years ago
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Rational numbers can be ______ or _______
chubhunter [2.5K]

Answer:

whole number or an integer.

Step-by-step explanation: hope this helps.

7 0
3 years ago
Solve and round answer to nearest hundredth please.
MA_775_DIABLO [31]

Answer:

Step-by-step explanation:

Solve this by using natural logs.  Taking the natural log of both sides:

ln(7*16^{8x-8})=ln(3)

To undo the multiplication, we use addition:

ln(7)+ln(16)^{8x-8}=ln(3)

The rule says we can now bring the exponent down in front of the ln:

ln(7)+(8x-8)ln(16)=ln(3)

Now we will subtract ln(7) from both sides:

(8x - 8)ln(16) = ln(3) - ln(7)

Now we will divide both sides by ln(16):

8x-8=\frac{ln(3)-ln(7)}{ln(16)} then add 8 to both sides:

8x=\frac{ln(3)-ln(7)}{ln(16)}+8 which simplifies to

8x = 7.694401895 so

x = .9618002368 or, rounded,

x = .96

(Rest assured I did the math and checked the answer and it checked out perfectly!)  I recommend you learn the laws of natural and common logs cuz they're kinda important!! :)

5 0
3 years ago
I need help :) ( 12 points)
Agata [3.3K]

Answer:

B

Step-by-step explanation:

The graph starts at 15, so that's the y intercept and the Gallons of gasoline is going down so the slope is  negative

3 0
3 years ago
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