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Serggg [28]
3 years ago
7

Evaluate 10m+n2/4, when m=5 and n=4

Mathematics
2 answers:
Gnom [1K]3 years ago
7 0

Answer:

10(5)+4(2/4)

50+2+52

Step-by-step explanation

oksian1 [2.3K]3 years ago
4 0

Answer:

52

Step-by-step explanation:

(10*5)+(4*2/4)

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Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?
poizon [28]

3(8-4x)<6(x-5)

24 - 12x < 6x - 30

18x > 54

   x > 3

answer is B. x > 3

<em>Sure hope this helps you! :D</em>

5 0
3 years ago
Recall that the binomial distribution with parameters n, p, and r gives the probability distribution of the number of r successe
dalvyx [7]

Answer:

0.05, 9

Step-by-step explanation:

The probability of success, p = chances of finding a defective syringe = 5%

Hence, probability of success p = 5 /100 = 0.05

The sample size, n = 9, (Given kn yhasrina

8 0
3 years ago
Robbie has 2 times as many apples as Bob. After receiving 35 more, Robbie now has 7 times as many as Bob. How many apples does B
Hoochie [10]

Answer:  18.5 apples

Step-by-step explanation:

7 0
2 years ago
In triangle RST, m∠R &gt; m∠S + m∠T. Which must be true of triangle RST? Check all that apply.
solmaris [256]

Answer:

1. m∠R > 90°

2. m∠S + m∠T < 90°

4. m∠R > m∠T

5. m∠R > m∠S

Step-by-step explanation:

<h3>General strategy</h3>
  1. prove the statement starting from known facts, or
  2. disprove the statement by finding a counterexample

Helpful fact:  Recall that the Triangle Sum Theorem states that m∠R + m∠S + m∠T = 180°.

<u>Option 1.  m∠R > 90°</u>

Start with m∠R > m∠S + m∠T.

Adding m∠R to both sides of the inequality...

m∠R + m∠R > m∠R + m∠S + m∠T

There are two things to note here:

  1. The left side of this inequality is 2*m∠R
  2. The right side of the inequality is exactly equal to the Triangle Sum Theorem expression

2* m∠R > 180°

Dividing both sides of the inequality by 2...

m∠R > 90°

So, the first option must be true.

<u>Option 2.  m∠S + m∠T < 90°</u>

Start with m∠R > m∠S + m∠T.

Adding (m∠S + m∠T) to both sides of the inequality...

m∠R + (m∠S + m∠T) >  m∠S + m∠T + (m∠S + m∠T)

There are two things to note here:

  1. The left side of this inequality is exactly equal to the Triangle Sum Theorem expression
  2. The right side of the inequality is 2*(m∠S+m∠T)

Substituting

180° > 2* (m∠S+m∠T)

Dividing both sides of the inequality by 2...

90° > m∠S+m∠T

So, the second option must be true.

<u>Option 3.  m∠S = m∠T</u>

Not necessarily.  While m∠S could equal m∠T, it doesn't have to.  

Example 1:  m∠S = m∠T = 10°;  By the triangle sum Theorem, m∠R = 160°, and the angles satisfy the original inequality.

Example 2:  m∠S = 15°, and m∠T = 10°;  By the triangle sum Theorem, m∠R = 155°, and the angles still satisfy the original inequality.

So, option 3 does NOT have to be true.

<u>Option 4.  m∠R > m∠T</u>

Start with the fact that ∠S is an angle of a triangle, so m∠S cannot be zero or negative, and thus m∠S > 0.

Add m∠T to both sides.

(m∠S) + m∠T > (0) + m∠T

m∠S + m∠T > m∠T

Recall that m∠R > m∠S + m∠T.

By the transitive property of inequalities, m∠R > m∠T.

So, option 4 must be true.

<u>Option 5.  m∠R > m∠S</u>

Start with the fact that ∠T is an angle of a triangle, so m∠T cannot be zero or negative, and thus m∠T > 0.

Add m∠S to both sides.

m∠S + (m∠T) > m∠S + (0)

m∠S + m∠T > m∠S

Recall that m∠R > m∠S + m∠T.

By the transitive property of inequalities, m∠R > m∠S.

So, option 5 must be true.

<u>Option 6.  m∠S > m∠T</u>

Not necessarily.  While m∠S could be greater than m∠T, it doesn't have to be.  (See examples 1 and 2 from option 3.)

So, option 6 does NOT have to be true.

4 0
1 year ago
For the function F(x) = 1/x, whose graph is shown below, what is the relative value of F(x) when the value of x is close to zero
Serhud [2]
Well think about it. If you divide by something less than 1, your number gets bigger.

2 \div 0.1 = 20

Same thing when it's negative, except now the answer is negative. So, if x gets really close to 0, it will be very big, or a big negative number. Remember, "getting close to 0" could mean from the negative side just as well from the positive.
5 0
3 years ago
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