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Dennis_Churaev [7]
2 years ago
7

Help please !!!! This is really hard

Mathematics
1 answer:
ankoles [38]2 years ago
4 0

Answer:

Option -c  :5^ -12  .  2^ 40

Step-by-step explanation:

(  5^6 . 2^8    )( 5^-2  . 2^5 )

(  5^6 . 5^-2  )   ( 2^8  . 2^5 )

5^ -12  .  2^ 40

Option -c :  5^ -12  .  2^ 40

I hope im right!!  

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Vijay’s wages were increased from £115 per week to £130 per week.
suter [353]

Answer:

13%

Step-by-step explanation:

Increase = (New Number - Old Number) / Old Number

(130 - 115) / 115

15/115 = 0.130434783.

0.130434783 * 100 (to get the percentage) = 13.0%

8 0
3 years ago
Find three consecutive even integers such that the product of the first and second is 8 more than 38 times the third.
BigorU [14]

Answer:

40, 42 and 44

Step-by-step explanation:

Mark these even consecutive integers as (2n-2), 2n and (2n+2)

Note that since they are integers, n > 0 and 2n is always even

Writing the equation

(2n-2) * 2n = 38 * (2n+2) + 8

// divide both sides by 2

(2n-2) * n = 19 * (2n+2) + 4

2n^{2} - 2n = 38n + 38 + 4

2n^{2} - 2n - 38n - 38 - 4 = 0

2n^{2} - 40n - 42 = 0

// divide both sides by 2

<u />n^{2} - 20n - 21 = 0

// rewrite the equation

<u></u>n^{2} + n - 21n - 21 = 0

n * (n+1) - 21n - 21 = 0

n * (n+1) - 21 * (n+1) = 0

(n+1) * (n-21) = 0

// separate the two possible cases

n + 1 = 0 and n - 21 = 0

n = -1              n = 21

Note that here n has to be an integer, so case n = -1 can't be a solution. Therefore we use n = 21

Calculating the consecutive even integers

2n - 2 = 2 * 21 - 2 = 40

2n = 2 * 21 = 42

2n + 2 = 2 * 21 + 2 = 44

4 0
3 years ago
A line has a slope of -3 and a y-intercept of 3.
Schach [20]

Answer: the answer is B

Step-by-step explanation:

3 0
3 years ago
Describe how the Commutative and Associative Properties of Addition can make adding mixed numbers easier.
Sloan [31]
Because both properties just switch around, and you get the same answer
3 0
3 years ago
Read 2 more answers
How long is the arc intersected by a central angle of startfraction pi over 2 endfraction radians in a circle with a radius of 4
Nimfa-mama [501]

<u>7.1 cm  long is the arc</u><u> intersected by a central angle .</u>

What is length of an arc?

  • The arc length of a circle can be calculated with the radius and central angle using the arc length formula.
  • Length of an Arc = θ × r, where θ is in radian. Length of an Arc = θ × (π/180) × r, where θ is in degree.

Given,

Central angle = π / 2

radius = 4.5 cm

we apply formula of length of arc.

length of the arc = angle ×  radius

                              = (π/2) × (4.5 cm)

Now put value of π = 3.14

length of the arc = (3.14 / 2) × (4.5) cm

                            = 7.065 cm ≈ 7.1 cm

Therefore, 7.1 cm  long is the arc intersected by a central angle .

Learn more about<u> </u> length of an arc

brainly.com/question/16991078

#SPJ4

7 0
1 year ago
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