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boyakko [2]
4 years ago
9

Simplify (5p^4)^3 · (2p^3)^4

Mathematics
1 answer:
Anuta_ua [19.1K]4 years ago
8 0
<span>(5p^4)^3 · (2p^3)^4
5^3p^12 * 2^4p^12
125p^12 * 16 p^12(in multiplication add the powers 
2000 p^12+12
answer= 2000 p^24</span>
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Find the slope of the line through the points (4, 4) and (-1, 5).
Phoenix [80]
<span>We write pattern linear function
f(x) = ax + b

</span><span>Both points must be in one straight line so they can be used to lay the system of equations .
Points A=(4,4), B = (-1,5)
                x  y            x  y

</span>\left \{ {{f(x)=ax + b  (Point A)} \atop {f(x) = ax +b (PointB)}} \right.  \\  \\  \left \{ {{4 =a*4 + b} \atop {5=a*(-1)+b}} \right.  \\  \\  \left \{ {{b= 4 -4a} \atop {5 = -a + (4 - 4a)}} \right. \\  \\   \left \{ {{b = 4 - 4a} \atop {5 - 4 = - 5a }} \right.  \\  \\  \left \{ {{b = 4 - 4a} \atop {a = -  \frac{1}{5} }} \right.  \\  \\  \left \{ {{ b = 4 - 4*(- \frac{1}{5} )= 4 +  \frac{4}{5} = 4,8} \atop {a = -  \frac{1}{5} }} \right.

<span>We insert the calculated a and b in the equation f(x) = ax + b

</span>y = -  \frac{1}{5} x + 4,8

<span>Since a> 0, the function is decreasing</span>
4 0
3 years ago
Jana hit a golf ball with an initial velocity of 102 ft per second at an angle of 67 degrees with the horizontal. After 2 second
Romashka-Z-Leto [24]
Horizontal distance x(t) = ut cos θ
x(2) = 102 * 2 * cos 67 = 79.7 ft.

Vertical distance y(t) = ut sin θ - 1/2 gt^2
y(3) = 102 * 2 * sin 67 - 1/2 * 9.8 * (3)^2 = 187.78 - 44.1 = 143.7 ft.
6 0
3 years ago
Helpssssssssssssssssssssssssss
Ede4ka [16]

Answer:

2y^3 goes into the blanks

Step-by-step explanation:

5 0
3 years ago
What is {Y=X-1<br> {4x=y+19
Elina [12.6K]
4x=x-1+19 -> 4x=x+18 (then you minus 1x from both sides) -> 3x=18; x=6
5 0
3 years ago
Prove that (x^5)-(x^2)+2x +3=0 has at least one real root.
lutik1710 [3]
The first one is of order 5, so it has either 1, 3 or 5 real roots (unless any coefficent was complex). Proof complete :)
The other one, if it has a solution, it must be in [-1;1]. Because it only gives positive results the solution is further restricted to [0;1]. Because the cosine function is continuous and strictly decreasing on this interval, the difference of x and it's cosine will shrink up to some point within the interval where it gets to 0 (the solution) and then flips sign (the cosine gets less than the number), further decreasing until the end of the interval.
7 0
4 years ago
Read 2 more answers
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