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Musya8 [376]
4 years ago
12

Is 5 a prime composite or neither

Mathematics
1 answer:
Elden [556K]4 years ago
4 0
<span>5 is a prime number. </span>
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Find the domain for the rational function:
jenyasd209 [6]

Answer:

3rd Option

Step-by-step explanation:

Since the denominator cannot equal 0, x ≠ 5. Therefore, our domain stops and starts again at 5. So our answer is 3rd option.

3 0
4 years ago
Which graph shows the solution set of the compound inequality or 1.5x-1 &gt; 6.5 or 7x+3 &lt; -25 ?
Dmitry [639]
1.
<span>1.5x-1 > 6.5 
1.5x>1+6.5
</span>1.5x>7.5, divide by 1.5

x>5, is represented by the region to the right of the vertical line x=5 

2. 

<span>7x+3 < -25
7x<-25-3
7x<-28, divide by 4:

x<-4

</span>x<-4, is represented by the region to the left of the vertical line x=-4

Answer: check the picture

6 0
3 years ago
Read 2 more answers
I need answers as soon as possible
NARA [144]

so to find 15% of 54,237, we use this equation: (x/54237) = (15/100) where x is the amount of income tax.

cross multiply: 100x = 813555

divide each side by 100 to isolate x: 8135.55

the truck driver will pay $8135.55

5 0
3 years ago
Sea level is considered to be 0 feet. A probe released at sea level dropped at a constant rate for 3.25 minutes, reaching an ele
HACTEHA [7]

d = r * t

d/t = r

-35.75 / 3.25 = r

-11 = r

r = -11 ft / min

d = r*t

d = -11 ft/min * 1 min

d = -11 ft

The probe is 11 feet below sea level after 1 minute

5 0
3 years ago
Find the rate of change of f(x, y, z) = xyz in the direction normal to the surface yx2 + xy2 + yz2 = 3 at (1, 1, 2).
Paladinen [302]

Answer:

Rate of change = 18/√74

Step-by-step explanation:

The rate of change of f at x_o in the direction of the unit vector v is given by: ∇f(x_o) × v

Now, for us to get the direction of the unit vector, since we are told that f(x, y, z) = xyz in the direction normal to the surface yx² + xy² + yz² = 3, we will use; g(x, y, z) = yx² + xy² + yz² = 3 and k =3 to give;

∇g(x,y,z) = (2xy + y², (x² + 2xy + z²), 2yz)

So;

∇g(1, 1, 2) = (2(1 × 1) + 1²) , (1² + 2(1 × 1) + 2²), 2(1 × 2))

This gives;

∇g(1, 1, 2) = (3, 7, 4)

Now,

||∇g(1, 1, 2)|| = √(3² + 7² + 4²)

||∇g(1, 1, 2)|| = √74

Normal vector would be given by the formula;

v = [∇g(1, 1, 2)]/[||∇g(1, 1, 2)||]

Thus;

v = (3, 7, 4)/√74

Let's not forget that our ∇f(1, 1, 2) = (1, 1, 2)

Thus, rate of change is given by;

∇f(1, 1, 2) × v = (1, 1, 2) × (3, 7, 4)/√74

This gives;

Rate of change = [(1 × 3) + (1 × 7) + (2 × 4)]/√74 = 18/√74

7 0
3 years ago
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