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3 years ago

Divide 32 students into 2 groups so the ratio is two to five how many students with be in each group

Mathematics

1 answer:

Valentin [98]3 years ago

5 0

Answer:

they can be divided into

2 groups of 16

4 groups of 8

8 groups of 4

16 groups of 2

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Which correctly describes a cross section of the cube below? Check all that apply.

N76 [4]

Answer:

Only A is correct

Step-by-step explanation:

A is shown in the image below.

For B, a rectangle does not have its lenght and height having the same dimension.

For C, such a cross section will give a square with sides of 4 cm each.

8 0

4 years ago

Verify cot x sec^4x=cotx +2tanx +tan^3x

Tanzania [10]

Answer:

See explanation

Step-by-step explanation:

We want to verify that:

$\cot(x) \: { \sec}^{4} x = \cot(x) + 2 \tan(x) + { \tan}^{3} x$

Verifying from left, we have

$\cot(x) \: { \sec}^{4} x = \cot(x) \: ( 1 + { \tan}^{2} x )^{2}$

Expand the perfect square in the right:

$\cot(x) \: { \sec}^{4} x = \cot(x) \: ( 1 + { 2\tan}^{2} x + { \tan}^{4} x)$

We expand to get:

$\cot(x) \: { \sec}^{4} x = \cot(x) \: + \cot(x){ 2\tan}^{2} x +\cot(x) { \tan}^{4} x$

We simplify to get:

$\cot(x) \: { \sec}^{4} x = \cot(x) \: + 2 \frac{ \cos(x) }{\sin(x) ) } \times \frac{{ \sin}^{2} x}{{ \cos}^{2} x} +\frac{ \cos(x) }{\sin(x) ) } \times \frac{{ \sin}^{4} x}{{ \cos}^{4} x}$

Cancel common factors:

$\cot(x) \: { \sec}^{4} x = \cot(x) \: + 2 \frac{{ \sin}x}{{ \cos}x} +\frac{{ \sin}^{3} x}{{ \cos}^{3} x}$

This finally gives:

$\cot(x) \: { \sec}^{4} x = \cot(x) + 2 \tan(x) + { \tan}^{3} x$

3 0

3 years ago

Part A: Victor is studying for his Finais. He spends 1/3 of an hour studying for History, 2/3 an hour

Elan Coil [88]

Answer:

3 3/4

Step-by-step explanation: all that you have to do is add 1/3 +2/3+11/4 which gives you 3 3/4

4 0

3 years ago

In a video store, a DVD that sells for $15 is marked "10% off." What is the discount? What is the sale price of the DVD?

Margarita [4]

Answer:

it will be 1.50$ off as the discount so sold for 13.50 is the sale price

8 0

3 years ago

Read 2 more answers

Enter the values for m, n, and p that complete the difference:

inessss [21]

Answer:

p = 2

n = 14

m = 3

Step-by-step explanation:

In order to be able combine (either add or subtract) rational expressions we need to write them with a common (similar) denominator. For that reason we first find the Least Common Denominator of both fractions, that way understanding how to express the two fractions using equivalent fractions with like denominator that can be combined.

We see that the denominator of the first fraction contains the factor "x", therefore "x" has to be a factor of that least common denominator.

We also see that the second fraction contains "2" as a factor, therefore 2 has to be a factor as well for our Least Common Denominator (LCD)

So the LCD we need is the product: 2*x which we write as 2x.

Now we write the first fraction as an equivalent one but with denominator "2x" by multiplying top and bottom by 2 (and thus not changing the actual value of the fraction): $\frac{7}{x} =\frac{7*2}{x*2} =\frac{14}{2x}$

Next we do the same with the second fraction, this time multiplying top and bottom by the factor "x":

$\frac{3}{2} =\frac{3x}{2x}$

Now that both fractions are written showing the same denominator , we can combine them as indicated:

$\frac{7}{x} -\frac{3}{2} =\frac{14}{2x} -\frac{3x}{2x} =\frac{14-3x}{2x}$

This expression gives as then the values for the requested coefficients.

p = 2

n = 14

m = 3

5 0

3 years ago

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