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Lelechka [254]
3 years ago
9

What is 68.52 rounded to the nearest whole number?

Mathematics
2 answers:
quester [9]3 years ago
8 0
69...
you don’t want any decimals.
you take away the 2 and just like at the last number of the whole number and the first number of the decimal. if the first number of The decimal is greater than or equal to five, you would round up
goblinko [34]3 years ago
4 0
69 because you take the the 2 and that keeps that 5 the same but the 5 kinda brakes that boarder of going up or down
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G(x)=3x^2+6x−9<br><br> I need the vertex for this please
aleksley [76]

Answer:

-1, -12

Step-by-step explanation:

you take b which is 6 and make it negative, then you take a and multiply it by 2, which is 6. you then take the 2 numbers and put the -b over 2a in this formula -b/2a giving you -1 as your x value

after you do that, you input the -1 into the equation as x and the value you get out of that (-12) is the y value of the vertex

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3 years ago
Edward’s recipe for salad uses a ratio of 214 cups of lettuce to 12 lb of tomatoes. After reading the written response statement
vodka [1.7K]

Answer:

17.8333 OR 0.056074766

Step-by-step explanation:

If the fraction is 214/12, you divide the denominator by the numerator to find your decimal. 214÷12= 17.8333

If the fraction is 12/214, the decimal would be 0.056074766, or 0.06 if you round up.

3 0
3 years ago
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35<br> How do you write as a percentage?<br> 50
DerKrebs [107]

Answer:

0.7 is a decimal and 70/100 or 70% is the percentage for 35/50.

Step-by-step explanation:

Hope this helps!

3 0
3 years ago
For f(x)=4sin(x2) between x=0 and x=3, find the coordinates of all intercepts, critical points, and inflection points to two dec
telo118 [61]

Answer:

Intercepts:

x = 0, y = 0

x = 1.77, y = 0

x = 2.51, y = 0

Critical points:

x = 1.25, y = 4

x = 2.17 , y = -4

x = 2.8, y = 4

Inflection points:

x = 0.81, y = 2.44

x = 1.81, y = -0.54

x = 2.52, y = 0.27

Step-by-step explanation:

We can find the intercept by setting f(x) = 0

4sin(x^2) = 0

sin(x^2) = 0

x^2 = n\pi where n = 0, 1, 2,3, 4, 5,...

x = \sqrt(n\pi)

Since we are restricting x between 0 and 3 we can stop at n = 2

So the function f(x) intercepts at y = 0 and x:

x = 0

x = 1.77

x = 2.51

The critical points occur at the first derivative = 0

f^{'}(x) = 4cos(x^2)2x = 8xcos(x^2) = 0

xcos(x^2) = 0

x = 0 or

cos(x^2) = 0

x^2 = \frac{\pi}{2} + n\pi where n = 0, 1, 2, 3

x = \sqrt{\pi(n+1/2)}

Since we are restricting x between 0 and 3 we can stop at n =  2

So our critical points are at

x = 1.25, y = f(1.25) = 4sin(1.25^2) = 4

x = 2.17 , y = f(2.17) = 4sin(2.17^2) = -4

x = 2.8, y = f(2.8) = 4sin(2.8^2) = 4

For the inflection point, we can take the 2nd derivative and set it to 0

f^[''}(x) = 8(cos(x^2) - xsin(x^2)2x) = 8cos(x^2) - 16x^2sin(x^2) = 0

cos(x^2) = 2x^2sin(x^2)

tan(x^2) = \frac{1}{2x^2}

We can solve this numerically to get the inflection points are at

x = 0.81, y = f(0.81) = 4sin(0.81^2) = 2.44

x = 1.81, y = f(1.81) = 4sin(1.81^2) = -0.54

x = 2.52, y = f(2.52) = 4sin(2.52^2) = 0.27

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Answer: A

Step-by-step explanation:

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