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Firlakuza [10]
3 years ago
7

Function: y=3 sin(x) + 5

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

The function has a maximum value when sinx = 1 , then

y = 3(1) + 5 = 3 + 5 = 8

The function has a minimum value when sinx = - 1, then

y = 3(- 1) + 5 = - 3 + 5 = 2

Thus

range is 2 < y < 8

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What times 1/10 equals 0.047
Zina [86]

Answer:

.47

Step-by-step explanation:

1/10= .1

0.0.47/.1=.47

-1 x .47=0.47

5 0
3 years ago
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Why is 4 4/10 greater than 32/10?
Elena-2011 [213]

Answer:

Because

Step-by-step explanation:

4 4/10 = 4.4  and  32/10 = 3.2

4.4 is bigger than 3.2 so that's why 4 4/10 is bigger.

7 0
3 years ago
If $x$, $y$, and $z$ are positive integers such that $6xyz+30xy+21xz+2yz+105x+10y+7z=812$, find $x+y+z$.
harina [27]

Answer:

10

Step-by-step explanation:

When we simplify we get $$z(6xy+21x+2y+7)+30xy+105x+10y=812.$$

Then we continue to factor to get: (z+5)(6xy+21x+2y+7)&=847.

We then see that we can factor (6xy+21x+2y+7) into (z+5)(3x+1)(2y+7)&=847.

we then do the prime factorization of 847, which i think is,  7*11*11. we have to find the numbers that multiply to 847 and then plug them into z+5, 3x=1,2y+7.

It has to be a positive, non-negative integer, right?

We also see that 3x+1=11 so we see that x=10/3 (which wont work).

So 3x+1=7, so x=2.

So 11 has to be in another term. It has to be in 2y+7=11 so y=2

for the last term we get z+5=11 so z=6

2+2+6=10

Hope this helps and if you want please consider giving me brainliest. :)

8 0
4 years ago
What is the solution to 4+5e^x+2 =11
Nezavi [6.7K]

Answer:

x =0

Step-by-step explanation:

4+5e^x+2 =11

Combine like terms

6 + 5e^x =11

Subtract 6 from each side

6-6 + 5e^x =11-6

5 e^x = 5

Divide by 5 on each side

5 e^x /5 = 5/5

e^x = 1

Take the natural log on each side

ln (e^x) = ln(1)

x = ln(1)

x =0

3 0
3 years ago
Read 2 more answers
Solve in simplest form<br><br> 15 3/5 - 3 2/7
artcher [175]

Answer:

12 11/35

Step-by-step explanation:

Given Data

First term= 15 3/5

To simple fracrion= 78/5

Second term= 3 2/7

To simple fracrion= 23/7

Hence the operation goes thus

= 78/5- 23/7

LCM = 35

=546-115/35

=431/35

=12 11/35

6 0
3 years ago
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