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Lana71 [14]
3 years ago
10

18. What is the value of j in the equation √ j + √ j + 14 = 3√ j + 10? A. 16 B. √ 2 C. 4 D. 2

Mathematics
1 answer:
Rudik [331]3 years ago
4 0

Answer:

  A. 16

Step-by-step explanation:

The equation can be simplified to ...

  2√j +14 = 3√j +10

  4 = √j . . . . . add -2√j -10

  16 = j . . . . . . square both sides

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A boat sails on a bearing of 77 degrees for 135 miles and then turns and sails 207 miles on a bearing of 192 degrees. Find the d
Andrew [12]

Answer:

193.53 miles

Step-by-step explanation:

Please see the diagram for understanding of how the angles were derived,

Applying Alternate Angles, ABO =77 degrees

The bearing from B to C is 192=180+12 degrees

Subtracting 12 from 77, we obtain the angle at B as 65 degrees.

We want to determine the boat's distance from its starting point.

In the diagram, this is the line AC.

Applying Law of Cosines:

b^2=a^2+c^2-2acCosB\\b^2=207^2+135^2-2(207)(135)Cos65^\circ\\b^2=37453.8654\\b=\sqrt{37453.8654} \\b=193.53\: miles

The distance of the boat from its starting point is 193.53 miles (correct to 2 decimal places).

6 0
3 years ago
Is 5 in the solution of x+3>8?
Ivan

Answer: D) No; If x is 5, the expression on the left simplifies to 8, making the inequality false.

In other words, if x = 5, then x+3 becomes 5+3 which ultimately becomes 8, but this is not greater than 8 on the right side.

Your steps could look like this

x+3 > 8

5+3 > 8 ... replace x with 5

8 > 8 ... this is a false inequality

8 0
3 years ago
Brainlist<br> Please help me
creativ13 [48]

Answer:

Yes she made an error. Explanation is below.

Step-by-step explanation:

Let the sample space for a six sided number cube be S

n(S) = \{1,2,3,4,5,6\}\\n(S) = 6

Let the event of a number getting greater than two be B

n(B) = \{3,4,5,6\}\\n(B) = 4

To find:

the probability of complement of B that is

p(~B) = ?

Solution"

First we need to solve probability for number getting greater than two

p(B) = \frac{n(B)}{n(S)}

Now substituting the values we get

p(B) = \frac{4}{6}

p(B) = \frac{2}{3}

but we need complement of B so

p(\textrm{complement of B)} = 1 - p(B)\\p(\~B) = 1 - p(B)\\p(\~B) = 1 - \frac{2}{3}\\ =\frac{1}{3} \\

P(complement of rolling a number greater than two) = \frac{1}{3}

3 0
3 years ago
6. The expected life of a calculator varies inversely with the amount of times a student
loris [4]

9514 1404 393

Answer:

  250 days

Step-by-step explanation:

If the number of drops increases by a factor of 20/8, the expected life will decrease by the inverse of that factor: 8/20.

The expected life is (8/20)(625 days) = 250 days.

6 0
3 years ago
Solve x1/6+3/4=1/4 i have to add 20 characters
dangina [55]
X=-3
It won't let me do short anwser
8 0
3 years ago
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