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Sedaia [141]
3 years ago
13

If 5²+m × 5⁷ =5¹⁵ ,find the value of mplease answer this question fast thank you!​

Mathematics
1 answer:
rewona [7]3 years ago
4 0

Answer:

m = 6

Step-by-step explanation:

Here, we want to find the value of m

To do this, we use the indices addition property for multiplication

On the left hand side;

5^(2 + m + 7) = 5^15

5^(m + 9) = 5^15

since the bases are equal, we equate the powers

m + 9 = 15

m = 15-9

m = 6

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Compare these two fractions ​
AleksandrR [38]

Answer:

4/6 is more than 5/12

Step-by-step explanation:

First, set the denominators of the fractions equal to eachother to make it easier to compare.  mulitiply 6 and 4 by 2 so that the denominator now equals 12, and you have the new fractions 5/12 and 8/12.  Since 8/12 is more than 5/12, 4/6 is more than 5/12.  

5 0
3 years ago
A point moves in the plane in the following sequence.
dem82 [27]

Answer:

D

Step-by-step explanation:

The answer is point D(-2,1).

1. If the point D was moved down 2 units, then its coordinates became (-2,-1).

2. If point (-2,-1) was reflected over the x-axis, then its coordinates became (-2,1).

3. If the point (-2,1) was moved 4 units to the right, then its coordinates became (2,1).

4. If point (2,1) was reflected over y-axis, its coordinates became (-2,1).

4 0
3 years ago
Rewrite 8 and 1/2 as an improper fraction
7nadin3 [17]

8 and 1/2 as an improper fraction is 17/2


To convert an improper fraction to a mixed fraction, follow these steps:

   Divide the numerator by the denominator.

   Write down the whole number answer.

   Then write down any remainder above the denominator.



7 0
3 years ago
Determine the shaded areas part 2​
shutvik [7]

9514 1404 393

Answer:

  (a) cannot be determined

  (b) 44 cm^2

  (c) 87 m^2

  (d) 180 m^2

  (e) 132 m^2

Step-by-step explanation:

(a) missing a horizontal dimension

__

(b) The difference between the bounding rectangle and the lower-left cutout is ...

  (8 cm)(7 cm) -(3 cm)(4 cm) = (56 -12) cm^2 = 44 cm^2

__

(c) The difference between the bounding rectangle and the center cutout is ...

  (13 m)(7 m) -(4 m)(1 m) = (91 -4) m^2 = 87 m^2

__

(d) The difference between the bounding rectangle and the two cutouts is ...

  (20 m)(25 m) -(16 m)(20 m) = (20 m)(25 -16) m = (20 m)(9 m) = 180 m^2

__

(e) The difference between the bounding rectangle and the two cutouts is ...

  (14 m)(12 m) -(12 m)(3 m) = (12 m)(14 -3) m = (12 m)(11 m) = 132 m^2

3 0
3 years ago
D=vt-(1/2)at^2 to find a. In the formula, d is displacement, v is final velocity, a is acceleration, and t is time
larisa86 [58]

Answer:

  a = 2(vt -d)/t^2

Step-by-step explanation:

Add the term containing "a":

  d + a(t^2/2) = vt

Subtract d:

  a(t^2/2) = vt -d

Multiply by the inverse of the coefficient of "a":

  a = 2(vt -d)/t^2

3 0
3 years ago
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