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Ratling [72]
3 years ago
15

Whats the answer how do you simplify this

Mathematics
1 answer:
Margarita [4]3 years ago
7 0
A^(-b) =  1 / (a^b), so

5^(-3) =  1 / (5^3)  = 1 / 125 = 0.008
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the variable z is directly proportional to x. when x is 6, z has the value 18. what is the value of z when x = 10 the variable z
nikklg [1K]
Z\alpha x
Z=kX
When x=6, z=18,
Finding value of z,
18=k*6
k=3
Z=3X
when x=10,
Z=3*10
Z=30

Part B;
Z\alpha  \frac{1}{x}
z=\frac{a}{x}
Where x is a constant of proportionality,
when x=3, z=2
2=\frac{a}{3}
a=3*2
a=6
When x is 13,
Z=\frac{6}{13}
6 0
3 years ago
Subtract 1/2h+1 from 3/4 h+4
damaskus [11]
-h/4+5 is your answer



Hope this helps.
8 0
3 years ago
Read 2 more answers
write an equation of the line with the following information. Through (4,1) and perpendicular to y=1/3x +3
Yakvenalex [24]
Perpendicular means the two lines' slopes are negative reciprocal to each other. the slope of the given line is 1/3, therefore the slope of the perpendicular line is -3/1, which is -3
use the point-slope form: the given point is (4,1), so (y-1)=-3(x-4)
you can stop right here or you can write it into slope intercept form:
y-1=-3x+12
y=-3x+13
5 0
3 years ago
An equilateral ∆ has sides of length 16 cm. Find the length of an altitude.
inn [45]

The length of the altitude is 8\sqrt{3}

Explanation:

Let ABC be an equilateral triangle.

It has sides of length 16 cm

Let AD be the altitude of the triangle.

We need to determine the length of an altitude.

Let AC = 16 cm and CD = 8 cm

Let us consider the right angled triangle ADC

Using the Pythagorean theorem, we have,

AC^2=AD^2+DC^2

Substituting the values, we get,

 16^2=AD^2+8^2

 256=AD^2+64

 192=AD^2

8\sqrt{3}=AD

The length of the altitude is 8\sqrt{3}

5 0
3 years ago
a standard toilet uses 1.6 gallons per flush. If a toilet is flushed four times per day, how much water will be used in a month(
spin [16.1K]

Answer:

192 gallons

Step-by-step explanation:

1.6 gallons x by 4 (the amount of times flushed in a day) = 6.4 gallons a day

6.4x30 (days in a month) = 192

192 gallons of water is being flushed a month

8 0
2 years ago
Read 2 more answers
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