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Furkat [3]
3 years ago
10

An expression is shown: martha evaluates the expression using these steps: step 1: step 2: step 3:

Mathematics
1 answer:
earnstyle [38]3 years ago
8 0

Answer:Answer: D Step 3 ; f²k³

Explanation:

(k⁻¹)⁻³ = k³

Step-by-step explanation:

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I need help finding this answer because I am pretty sure it’s C but I don’t know
malfutka [58]

Answer: A) -9

Step-by-step explanation:

If x = -2

Then 3^{x} = 3^{-2}

So, it is -9

5 0
3 years ago
During a school race, Sonic ran around the entire track 5 times in 10 seconds. Everyone was shocked by his speed, which was equa
Aleonysh [2.5K]

Step-by-step explanation:

there is no diagram here.

I assume that the race track is a rectangle in the middle and two half-circles at the left and right ends, and that the length of the rectangle is D = 2R. which makes the rectangle actually a square, as the width is the diameter of the (half-)circles, which is also 2R.

Sonic ran the track 5 times in 10 seconds with a speed of 321 m/s.

that means he ran 10×321 m in 10 seconds = 3210 m.

so, 5 times the track is 3210 m, which means that the track itself is 3210/5 = 642 m long.

and based on the assumptions above the track consists of 2 times the length of the rectangle (or square), and the full circumference of a circle with radius R (2 half-circles make one full circle).

we know the formula for the circumference of a circle :

2×pi×radius

so, we have then

642 = 2×2R + 2×pi×R = R×(4 + 2×pi)

R = 642 / (4 + 2×pi) = 62.43201701...

and when using the requested "cut-off" pi = 3.14, we get

R = 642 / (4 + 2×3.14) = 62.45136187...

and that is rounded 62.5

so, the second answer option is correct.

7 0
2 years ago
Read 2 more answers
Find the sum of first 15 terms of an AP whose 4th and 9th t terms are -15 and -30 respectively.
Serga [27]

Answer:

Sum of the first 15 terms = -405

Step-by-step explanation:

a + 3d = -15 (1)

a + 8d = -30 (2)

Where,

a = first term

d = common difference

n = number of terms

Subtract (1) from (1)

8d - 3d = -30 - (-15)

5d = -30 + 15

5d = -15

d = -15/5

= -3

d = -3

Substitute d = -3 into (1)

a + 3d = -15

a + 3(-3) = -15

a - 9 = -15

a = -15 + 9

a = -6

Sum of the first 15 terms

S = n/2[2a + (n − 1) × d]

= 15/2 {2×-6 + (15-1)-3}

= 7.5{-12 + (14)-3}

= 7.5{ -12 - 42}

= 7.5{-54}

= -405

Sum of the first 15 terms = -405

7 0
3 years ago
The smith family is designing new plans for an in ground pool. mr smith draws a rectangular shape with a length that is 5 feet l
dolphi86 [110]
Answer
Are of the pool = w² + 5w (in square feet)


Explanation

Since the pool is rectangular in shape,
Area of the pool can be calculated using the formula for the area of a rectangle

Area of rectangle = length x width

Given,
Width of pool (Assume is same as height) = w
Length of pool= w + 5

Area = w * (w + 5)
= w² + 5w (in square feet)
where w is the width of the pool
3 0
3 years ago
Irene makes a second batch of 3 and 1/4 cups of pancake batter. She wants to know how much more batter she made in the first bat
Zarrin [17]
4 2/3 is equal to 4 8/12. 3 and 1/4 is equal to 3 3/12. 4 8/12- 3 3/12 = 1 5/12. 1 1/2 would be a better estimate.
8 0
3 years ago
Read 2 more answers
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