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2 years ago

Simplify: = (answer here) ^a0

Mathematics

1 answer:

kari74 [83]2 years ago

7 0

Answer:

Step-by-step explanation:

1) Using n√a^m = (n√a)^m, rewrite the root like (3√27)^2

2) Write the number in exponential form with a base of 3: (3√3^3)^2

3) Calculate the cube root: 3^2

4) Evaluate the power: 3^2=9

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You row a canoe x miles per hour down a river for 20 minutes. On the return trip, you travel 1 mile per hour slower. The return

ozzi

Answer:

Total Distance = 2 miles

Step-by-step explanation:

We know D = RT where

D is distance

R is rate (speed)

T is time

First Leg:

Rate = x mph

Time = 20/60 = 1/3 hour

Hence, D = RT, Distance = x * 1/3 = x/3 miles

Second Leg:

Rate = x - 1

Time = 30/60 = 1/2 hour

Distance = (x - 1) * 1/2 = (x-1)/2

Total distance is the sum of both the legs, hence,

Total distance = $\frac{x}{3}+\frac{x-1}{2}=\frac{2x+3(x-1)}{6}=\frac{2x+3x-3}{6}=\frac{5x-3}{6}$ miles

Since both the distance are equal we can equate and solve:

$\frac{x}{3}=\frac{x-1}{2}\\2x=3x-3\\x=3$

Plugging this x = 3 into the total distance expression, we get:

$\frac{5x-3}{6}\\\frac{5(3)-3}{6}\\=2$

Total distance, 2 miles

5 0

2 years ago

PLEASE SOLVE THeSE QUESTIONS

g100num [7]

Heya!

Question #15:

To find the perimeter of the object, you can count the amount of squares that are on the outside of the object. After you country all around the object, the perimeters is 22 units (Option D)

Question #16:

Since we know the total perimeter, we can divide by the amount of sides a hexagon has because all of the sides are the same length. A hexagon has 6 sides. 42 / 6 = 7 inches (Option A)

Question #17:

To calculate the perimeter of the rectangle, you can add all the sides together. First, find common denominators.

6 1/2 = 6 2/4 and 3 1/4

Now, add all the sides together.

6 2/4 + 6 2/4 + 3 1/4 + 3 1/4 = 19 1/2 cm (Option B)

Question #18:

We can find the perimeter of the semi circle and square separately. Only take the perimeter of the square using 3 sides since the fourth sides is in the semi circle.

8 + 8 + 8 = 24 inches

Circumference of a semi circle formula: C = πd

C = (3.14)(8)

C = 25.12

Now, add both perimeters together.

24 + 25.12 = 49.12 inches (Option D)

Best of Luck!

3 0

2 years ago

Read 2 more answers

(x^2+x-17)/(x-4) solve this

sergij07 [2.7K]

Answer:

$\displaystyle x + 5 + \frac{3}{x - 4}$

Step-by-step explanation:

Since the divisor of $\displaystyle x - 4$ is in the form of $\displaystyle x - c,$ we use what is called Synthetic Division. Now, in this formula, −c gives the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:

4| 1 1 −17

↓ 4 20

_________

1 5 3 → $\displaystyle x + 5 + \frac{3}{x - 4}$

You start by placing the c in the top left corner, then list all the coefficients of your dividend [x² + x - 17]. You bring down the original term closest to c then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an x, the 5 follows right behind it, and bringing up the rear, $\displaystyle \frac{3}{x - 4},$ giving you the quotient of $\displaystyle x + 5 + \frac{3}{x - 4}.$ However, in this case, since you have a remainder of 3, this gets set over the divisor.