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kkurt [141]
3 years ago
7

Write the direct variation function given that y varies directly with x, and y = 6 when x = 10.

Mathematics
1 answer:
ivolga24 [154]3 years ago
4 0
0.6=k
This is your answer because the equation is for direct variation is y=kx
You substitute the numbers
You might be interested in
Cos X<br> Y<br> 12<br> X<br> 16<br> 20<br> Z<br> 4<br> A) 3/4<br> B) 4/3<br> C)3/5<br> D) 5/4
yanalaym [24]

Answer:

C.

\cos X =  \frac{12}{20}  \\  =  \frac{3}{5}

5 0
3 years ago
In a group of 60 students, 20%are girls. How many are boys?
Firlakuza [10]

Answer: About 12 of those 60 students are boys.

To find the percent, you'll convert 20% to a decimal.

20 / 100 = 0.2

Then, multiply 60 by 0.2

0.2 × 20 = 12

That's one way, another way is:

Convert 20% to a fraction.

20% = 1/5

Then multiply 60 by 1/5.

60 × 1/5 = 60/5

Lastly, divide 60 by 5

60 / 5 = 12.

Hence, 12 is the answer.

<em>Any questions? Comment down.</em>

4 0
3 years ago
Please answer. Thanks!​
ahrayia [7]

Answer:

every single option is a deductive reasoning as all the above hypothesis are correct.

4 0
3 years ago
Determine each of the following.
castortr0y [4]

Answer:

(a) \{1,2,3,4,5,6,7,8,9,10\}

(b) 10

(c) \{\}

(d) 0

(e) 1024

Step-by-step explanation:

(a)

A = {x ∈ Z | 0 < x, x² ≤ 100}

We need to find all the elements of given set.

The given conditions are

0                ... (1)

x^2\leq 100

Taking square root on both sides.

-\sqrt{100}\leq x\leq \sqrt{100}

-10\leq x\leq 10             .... (2)

Using (1) and (2) we get

0

Since x ∈ Z,

A=\{1,2,3,4,5,6,7,8,9,10\}

(b)

We need to find the value of  | {x ∈ Z | 0 < x, x² ≤ 100}| or |A|. It means have to find the number of elements in set A.

|A|=10

| {x ∈ Z | 0 < x, x² ≤ 100}| = 10

(c)

B = {x ∈ Z | x > 10, x² ≤ 100}

We need to find all the elements of given set.

The given conditions are

x>10                ... (3)

x^2\leq 100

It means

-10\leq x\leq 10             .... (4)

Inequality (3) and (4) have no common solution, so B is null set or empty set.

B=\{\}

(d)

We need to find the value of |{x ∈ Z | x > 10, x² ≤ 100}| or |B|. It means have to find the number of elements in set B.

|B|=0

|{x ∈ Z | x > 10, x² ≤ 100}| = 0

(e)

We need to find the value of | P(A) |. P(A) is the power set of set A.

Number of elements of a power set is

N=2^n

where, n is the number of elements of set A.

We know that the number of elements of set is 10. So the value of |P(A)| is

|P(A)|=2^{10}

|P(A)|=1024

Therefore |P(A)|=1024.

7 0
3 years ago
Can someone help me with please??​
OverLord2011 [107]

Answer:

The angle is 35 degrees

Step-by-step explanation:

Since this is an isosceles triangle, we know that the two remaining angles must be the same. Set those angles equal to x. Now, we can solve for x by adding those two angles to the third angle and setting equal to 180.

x + x + 110 = 180

2x + 110 = 180

2x = 70

x = 35

6 0
3 years ago
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