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Lubov Fominskaja [6]
2 years ago
6

Which expression is equivalent to (5³) ‐²? (4 points)

Mathematics
1 answer:
miss Akunina [59]2 years ago
3 0

Answer:

1. 2³ × 2² = (2 × 2 × 2) × (2 × 2) = 23+2 = 2⁵

2. 3⁴ × 3² = (3 × 3 × 3 × 3) × (3 × 3) = 34+2 = 3⁶

3. (-3)³ × (-3)⁴ = [(-3) × (-3) × (-3)] × [(-3) × (-3) × (-3) × (-3)]

= (-3)3+4

= (-3)⁷

4. m⁵ × m³ = (m × m × m × m × m) × (m × m × m)

= m5+3

= m⁸

Step-by-step explanation:

exponential law

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50 POINTS PLUS BRAINLIST
MAVERICK [17]

Answer:

20.

As P is the mid point so

2x + 3 = x + 7

transpose

2x - x = 7 -3

x = 4

21.

4x + 3 = 8x - 11

transpose

4x - 8x = -11 -3

-4x = -14

x = 14/4

x = 7/2

x can also be 3.5

22.

7x - 3 = 5x + 2

transpose

7x - 5x = 2 + 3

2x = 5

x = 5/2

x can also be 2.5

6 0
2 years ago
Read 2 more answers
Rewrite the conditional statement in if-then form. Today is Friday, and tomorrow is the weekend
sladkih [1.3K]

If today is Friday, then tommorow is the weekend

8 0
3 years ago
Two similar cylinders have radii of 15 inches and 6 inches. What is the ratio of the surface area of the small cylinder to the s
Levart [38]

Answer:

4:25

Step-by-step explanation:

Given that,

r₁ = 15 inches, r₂ = 6 inches

The area of the cylinder is given by :

A=2\pi rh+2\pi r^2

The ratio of surface areas of two cylinders,

\dfrac{S_2}{S_1}=\dfrac{2\pi r_2h_2+2\pi r_2^2}{2\pi r_1h_1+2\pi r_1^2}\\\\\dfrac{S_2}{S_1}=(\dfrac{r_2}{r_1})^2\\\\=\dfrac{6}{15}^2\\\\=\dfrac{4}{25}

Hence, the required ratio is 4:25.

8 0
3 years ago
A population of insects increases at a rate of 1.5% per day. About how long will it take the population to double?
never [62]

The <em><u>correct answer</u></em> is:

46.6 days

Explanation:

The general form for exponential growth is

A=p(1+r)^t, where A is the total amount, p is the initial amount, r is the percent of growth, and t is the amount of time (in this case, days).

We do not know the initial amount, the total amount, or the amount of time.  We do know that r, the percent of growth, is 1.5%; 1.5% = 1.5/100 = 0.015:

A=p(1+0.015)^t

We also know we want the total amount, A, to be twice that of the initial amount, p:

2p = p(1+0.015)^t&#10;\\&#10;2p=p(1.015)^t

Divide both sides by p:

\frac{2p}{p}=\frac{p(1.015)^t}{p}&#10;\\&#10;\\ 2=1.015^t

Using logarithms to solve this,

\log_{1.015}(2)=t&#10;\\&#10;\\46.6=t

8 0
3 years ago
Read 2 more answers
I NEED HELP WITH THIS. PLEASE HELP. I'M GETTING GRADED ON IT TODAY.
choli [55]

Answer:

Point P = (-9,11)

Step-by-step explanation:

Point M: (1,3)               X and Y have the 2 on the bottom right of them

Midpoint N: (-5,7)

Point P: (X*2, Y*2)

( 1 + X*2          3  + Y*2 )

( _______     ________ )     =     (-5 , 7)

(      2         ,          2          )

( 1 + X*2 )

( _____ )     = -5  

(      2     )

Then multiply the left equation above by 2, and that cancels out the 2 being

divided on the bottom. Also, multiply the -5 by 2 and you get -10

1 + X*2 = -10

+1             +1

__________

X*2 =       -9    

X = -9

( 3 + Y*2 )

( ______ )       =  7

(      2       )

Then multiply the left  equation above by 2, and that cancels out the 2 being divided on the bottom. Also, multiply the 7 by 2 and you get 14

3 + Y*2 = 14

-3             -3

_________

Y*2 =       11

Y = 11

Hope this helps, good luck! :)

3 0
3 years ago
Read 2 more answers
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