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GuDViN [60]
3 years ago
11

I am less than 80 and greater than 75 if you add the digits the sum is 13 what number am I

Mathematics
2 answers:
spin [16.1K]3 years ago
8 0

Answer:76

Step-by-step explanation:7+6 is 13 and greater that 75 and lower than 80

malfutka [58]3 years ago
3 0

Hello.

The number is 76. Lets figure this out step by step. It is a number less than 80, but greater than 75, so it can be 76, 77, 78, or 79. Now, adding each of numbers digits by themselves, only one adds up to 13. 7 + 6 = 13.

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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

3 0
3 years ago
Given that
VLD [36.1K]

-17/2

Step-by-step explanation:

30-8(8)+4y

30=64+4y

30-64=4y

-34=4y

y= -34/4

y= -17/2

hope it helps!

6 0
3 years ago
An empty water tank is being filled at the rate of 20 liters per minute.
Nataliya [291]

Answer:

230

Step-by-step explanation:

20x11=220

20x0.5=10

220+10=230

3 0
3 years ago
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Answer:

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3 0
2 years ago
Is 4/12 equal to 7/28?
mars1129 [50]

4/12= 1/3

7/28= 1/4

no they are not equal

6 0
3 years ago
Read 2 more answers
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