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Mila [183]
2 years ago
14

When translating the phrase "twice the quantity of four more than three times a number"on students wrote the expression 2*3x+4

Mathematics
1 answer:
kozerog [31]2 years ago
5 0
It is wrong because the equation is missing parentheses around the sum

When it says "the quantity of..." it always means parentheses. The correct equation is 2(3x+4)
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Verify the identity. cot(x - pi/2) = -tan(x)
gizmo_the_mogwai [7]

Answer:

See below.

Step-by-step explanation:

\cot(x-\frac{\pi}{2})=-\tan(x)

Convert the cotangent to cosine over sine:

\frac{\cos(x-\frac{\pi}{2} )}{\sin(x-\frac{\pi}{2})} =-\tan(x)

Use the cofunction identities. The cofunction identities are:

\sin(x)=\cos(\frac{\pi}{2}-x)\\\cos(x)=\sin(\frac{\pi}{2}-x)

To convert this, factor out a negative one from the cosine and sine.

\frac{\cos(-(\frac{\pi}{2}-x ))}{\sin(-(\frac{\pi}{2}-x))} =-\tan(x)

Recall that since cosine is an even function, we can remove the negative. Since sine is an odd function, we can move the negative outside:

\frac{\cos((\frac{\pi}{2}-x ))}{-\sin((\frac{\pi}{2}-x))} =-\tan(x)\\-\frac{\sin(x)}{\cos(x)} =-\tan(x)\\-\tan(x)\stackrel{\checkmark}{=}-\tan(x)

8 0
3 years ago
I WILL GIVW CROWN NEEP HELP ASAP
cricket20 [7]

Answer:

C. between 5 and 6 days

Step-by-step explanation:

divide 1611 by 305 and the answer is 5.28196721311. meaning it will take a little over 5 days to get to wherever he is going.

4 0
2 years ago
Read 2 more answers
Solve for x with a degree of 30 & side of 300ft
tankabanditka [31]

Answer:

x = 100√3


Step-by-step explanation:

tan(30º) = x/300

x = 300 tan(30º)

x = 300/√3

x = 100√3

3 0
3 years ago
Can someone plz explain to me when to use an open and closed dot
balandron [24]

closed dot is if the number is part of the solution so if it is equal to

 and

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5 0
3 years ago
A rectangle or field is 62 m long and 48 m wide Diana estimate the length of the field to be 60 m and the ways to be 45 m what i
Ostrovityanka [42]

Answer:

To make estimates, we usually round the numbers the nearest integer.

Since 1.9 is closest to 2 than it is to 1, the nearest integer of 1.9 is 2.

Similarly, since 4.4 is closest to 4 than it is to 5, the nearest integer of 4.4 is 4.

Now, to estimate the area of the farm, we are going to multiply our two integers:

Estimated Area of the Farm= x

Since 8 is between 4 and 10, we can conclude that the best estimate of the area of the farm is: between 4 and 10

Step-by-step explanation:

7 0
2 years ago
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