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3 years ago

Why is (5+2) to the second power is not equal to 5 to the second power plus 2 to the second power is not equal

2 answers:

7 0

This answer is a lot easier to find if you write out the math. 5 to the second power (or 5X5) is 25 and 2 to the second power (or 2X2) is 4, so they add together for a sum of 29 (25+4=29). As for (5+2) to the second power, both five and two are taken to the second power, however when you distribute there are middle terms that result as well. A good way to approach it is to use the foil method, which stands for First, Outter, Inner, Last.
So (5+2) to the second power can also be written:
(5+2)(5+2)
First: 5X5 =25
Outter: 5X2 =10
Inner: 2X5 = 10
Last: 2X2 =4
And all of that adds up for a total of 49.

Olin [163]3 years ago

3 0

Because 5 +2 is 7 and seven to the second power is 49. On the other hand 5 squared is 25 and 2 to the second power is 4 when you ad them together you get 29 you are taking to completely different numbers to the power of two and that’s why they aren’t equal

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Need help plz answer right pls also pls and thx.

Varvara68 [4.7K]

Answer:

I think it's B

Step-by-step explanation:

750 has to be greater so that eliminates the last two. Then it said the number of weeks after starting his collection. He was purchasing 25 cards of week before starting his collection. It may not make sense so don't trust me whatsoever but I hope it helped?

8 0

3 years ago

You ride your bike at an average of 12 miles per hour on the way to school, and at an average of 15 miles per hour on the way ho

-Dominant- [34]

Answer:

2.44 miles

Step-by-step explanation:

Give the following :

Average miles to school = 12 miles per hour

Average Miles from school = 15 miles per hour

Total ride time : ( time to school + time from school) = 22 minutes = (22/60) = 0.3667

Recall:

Speed = distance / Time

Time = distance / speed

Let distance = d

For the scenario described :

d/12 + d/15 = 0.3667

(5d + 4d) / 60 = 0.3667

5d + 4d = 22

9d = 22

d = 22/9

d = 2.44 miles

6 0

3 years ago

nya wants to buy a sweater that had an original price of 55. the sweater is now discounted 20% and the sales tax rate is 5.5%. h

kondaur [170]

Answer:

Step-by-step explanation:

55 - 20% = 44

5.5% of 44 = 2.42

2.42 + 44 = 46.42

hope this helps. :]

8 0

3 years ago

Round to 2 decimal places *

EleoNora [17]

Answer: The circumference of the dome is therefore 149.15 feet or 47.5π feet

Step-by-step explanation:

A scale is basically referred to as the ratio of the dimensions of an object as represented in a draft to the real or true dimensions of the object being drafted.

The figure(s) on the left of the ratio sign represents the size and dimensions of the model with respect to the actual size or dimensions of the object. On the other hand, the figure on the right hand size represents the actual dimensions and size of the real object.

So, if an object is being drawn with the ratio, 1cm : 5cm it means that the size of the object is being reduced because every 5cm of the actual object will always be represented by 1cm in the drawing. If the object is being drawn with a scale of 5cm : 1cm then the actual size of the object will be increased in the drawing. That is, for every 1cm in the actual dimensions of the object, there will be a 5cm representation in the drawing.

Now, the architect draws with a scale of 0.25 inches : 1 foot. If the diameter of the hemispherical dome is 23.75 inches in the scale model, then the actual diameter of the dome is:

0.25 inches ------- 1 foot

23.75 inches ------- ? feet

= 23.75/0.25 × 1

= 95 feet

Therefore, the actual diameter of the dome is 95 feet. We are now required to find the circumference of this dome.

The dome is a hemisphere which literally means half of a sphere. So, if the formula for finding the circumference of a sphere is πd, that of a hemisphere will then be πd/2. Since the diameter is already known to be 95 feet, the circumference of the hemisphere =

(π × 95)/2

=47.5π feet

If π = 3.14, then the circumference = (3.14 × 95)/2 = 149.15 feet

The circumference of the dome is 149.15 feet or 47.5π feet

5 0

3 years ago

Math help pls, thank you! show steps if needed

Papessa [141]

Answer:

6) y = x^(5/3)

7) B

8) C

10) A

Step-by-step explanation:

6) The fifth root is the same as raising to the 1/5 power, so we can write this in exponent form as:

f(x) = (x^(1/5))³

f(x) = x^(3/5)

To find the inverse, switch x and y and solve for y.

x = y^(3/5)

y = x^(5/3)

7) f(x) = 2√(x − 4) + 8

Switch the x and y and solve for y:

x = 2√(y − 4) + 8

x − 8 = 2√(y − 4)

(x − 8) / 2 = √(y − 4)

(x − 8)² / 4 = y − 4

(x² − 16x + 64) / 4 = y − 4

¼x² − 4x + 16 = y − 4

y = ¼x² − 4x + 20

8) Find the inverse:

x = 5√(y + 3) − 2

x + 2 = 5√(y + 3)

(x + 2) / 5 = √(y + 3)

(x + 2)² / 25 = y + 3

y = -3 + (x + 2)² / 25

The inverse function is an upwards parabola with a vertex at (-2, -3). The best fit is C.

desmos.com/calculator/fbabg5wc8b

10) √(4x − 31) = x − 7

Square both sides:

4x − 31 = (x − 7)²

4x − 31 = x² − 14x + 49

Combine like terms:

0 = x² − 18x + 80

Factor:

0 = (x − 8) (x − 10)

x = 8 or 10

Check for extraneous solutions.

√(4×8 − 31) = 8 − 7

1 = 1

√(4×10 − 31) = 10 − 7

3 = 3

x = 8 and x = 10 are both solutions.

4 0

3 years ago