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Mars2501 [29]
3 years ago
10

There are 25 students in Ms. Nguyen's second-grade class. In the class election, 4 students voted for Benjamin, 12 voted for Sah

il, and 9 voted for Maria. What percentage of the class voted for Maria?
Mathematics
1 answer:
fgiga [73]3 years ago
3 0
It is 36%, because a percent is defined as a part to a whole, so in this scenario the part is the number of votes for maria and the whole is the number of kids in the class, so if we put it into fraction form we'll 9/25, which can be increased to 36/100 or you can input it into a calculator and convert to percent form
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Let f(x) = x2 − 2x − 3. The secant line through (2, f(2)) and (2 + h, f(2 + h)) for f(x) has slope h + 2. Use this formula to co
Mkey [24]

Answer:

a) slope of secant line = 3

b) slope of tangent line = 2

Step-by-step explanation:

Given:

- The function:

                           f(x) = x^2 -2*x - 3

- The slope for f(x) @ x = 2 is:

                           slope = h + 2

Find:

a) The slope of the secant line through (2, f(2)) and (3, f(3))

b) The slope of the tangent line at x = 2

Solution:

- Since we are given the slope of the line computed via secant method. All we need to do is evaluate the slope given for respective question.

- The slope of secant line between points ( 2 , f(2) ) and ( 3 , f(3) ) is:

                             slope = h + 2

Where,  h is the step size between two points. h = 3 - 2 = 1

                             slope = 1 + 2 = 3

Hence, the slope of the secant is 3.

- The slope of tangent line @ points ( 2 , f(2) ) is:

                             slope = Lim _ h-->0 (h + 2)

Where,  h step size is reduced to infinitesimal small number. Hence, h = 0

                             slope = 0 + 2 = 2

Hence, the slope of the tangent is 2.

5 0
3 years ago
Which transformations map the strip pattern onto itself?
NemiM [27]

Answer:

C

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3 0
2 years ago
You need to cover the playground of a child development center with mulch. The playground is 125 feet long and 60 feet wide. You
alexira [117]
Volume of this child development center=long x width x deep.
we expressed all magnitudes (long, width and deep) in yards.
Data:
long=125 ft=125 ft * (1/3 yd/ft)=125/3 yd
width=60 ft=60 ft * (1/3 yd/ft)=20 yd
deep=6 in * (1 yd / 36 in)=1/6 yd

We calculate the volume:
volume=(125/3 yd)*(20 yd)*(1/6 yd)=138.8888....yd³≈139 yd³

Answer: 139 yd³
6 0
3 years ago
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