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kkurt [141]
3 years ago
8

Match the expressions given in words with their values when m = 6. 42 3 21 15 2 the difference of the product of 3 and m minus t

he quotient of m divided by 2 arrowRight the sum of 3 times m and 4 times m arrowRight the quotient of 6 divided by the difference of m minus 3 arrowRight the sum of m and 3 divided by the difference of m minus 3 arrowRight
Mathematics
1 answer:
Mama L [17]3 years ago
8 0

Answer:

  • 15
  • 42
  • 2
  • 3

Step-by-step explanation:

When m=6

(1) The difference of the product of 3 and m minus the quotient of m divided by 2

3m-\dfrac{m}{2}\\=3(6)- \dfrac{6}{2}\\=18-3\\=15

(2)The sum of 3 times m and 4 times m

3m+4m

=3(6)+4(6)

=18+24

=42

(3)The quotient of 6 divided by the difference of m minus 3

\dfrac{6}{m-3} =\dfrac{6}{6-3} =\dfrac{6}{3} =2

(4)The sum of m and 3 divided by the difference of m minus 3

\dfrac{m+3}{m-3}= \dfrac{6+3}{6-3}=\dfrac{9}{3}=3

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Given the lengths of two sides of a triangle, find the range for the length of the third side (between what two numbers should t
frozen [14]

Answer:

The length of the third side of given triangle lies between 6.5 and 19.9.

Step-by-step explanation:

The law of cosine is as follows

 c^{2} =a^{2}+b^{2}+2abcos\alpha---------------1

⇒ a and b are the given sides of the triangle and c is the third side, and \alpha is the angle between a and b .

In equation 1 , the maximum and minimum values of cos\alpha are 1 and -1.

 so the value of c  lies in between

⇒ \sqrt{a^{2}+b^{2}-2ab   } and  \sqrt{a^{2}+b^{2}+2ab  }   = |a-b| and |a+b|

Given a=13.2 and b=6.7 so the the side lies in between  |13.2-6.7| and |13.2+6.7|

  so the third side lies between 6.5 and 19.9

3 0
3 years ago
Please help! NO FAKE ANSWERS PLEASE!!!!!
vredina [299]
Ninety nine percent hope this helps!

Sorry if it didn’t :c
8 0
2 years ago
write a linear equation that intersects y=x^2 at two points. Then write a second linear equation that intersects y=x^2 at just o
Liula [17]

We know that y = x^2 is a parabola, concave up, with vertex in the origin (0,0)

So, we may use three horizontal lines for our purpose: any horizontal line above the x axis will intersect the parabola twice. The x axis itself intersects the parabola once on the vertex, while any horizontal line below the x axis won't intercept the parabola.

Here's the examples:

  • The horizontal line y = 4 intercepts the parabola twice: the system y = x^2,\ y = 4 is solved by x^2=4 \implies x = \pm 2
  • The horizontal line y=0 intercepts the parabola only once: the system is y=x^2,\ y=0 which yields x^2=0\implies x=0 which is a repeated solution
  • The horizontal line y=-5 intercepts the parabola only once: the system is y=x^2,\ y=-5 which yields x^2=-5 which is impossible, because a squared number can't be negative.
5 0
3 years ago
A college-entrance exam is designed so that scores are normally distributed with a mean of 500 and a standard deviation of 100.
Crank

Answer: 1.25

Step-by-step explanation:

Given: A college-entrance exam is designed so that scores are normally distributed with a mean(\mu) = 500 and a standard deviation(\sigma) =  100.

A z-score measures how many standard deviations a given measurement deviates from the mean.

Let Y be a random variable that denotes the scores in the exam.

Formula for z-score = \dfrac{Y-\mu}{\sigma}

Z-score = \dfrac{625-500}{100}

⇒ Z-score = \dfrac{125}{100}

⇒Z-score =1.25

Therefore , the required z-score = 1.25

6 0
3 years ago
Alfredo tiene 36 cromos más que Iván, y si comprará 10 más , tendría el triple . ¿Cuantos cromos tiene cada uno?
ololo11 [35]

Respuesta:

Alfredo = 59 pegatinas

Ivan = 23 pegatinas

Explicación paso a paso:

Dejar :

Pegatinas de Alfred = a

Pegatinas de Ivan = b

a = b + 36 - - - (1)

a + 10 = 3b- - - (11)

De 1)

a = b + 36

Ponga a = b + 36 en (11)

b + 36 + 10 = 3b

b + 46 = 3b

46 = 3b - b

46 = 2b

b = 23

a = b + 36

a = 23 + 36

a = 59

Alfredo = 59 pegatinas

Ivan = 23 pegatinas

3 0
3 years ago
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