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Vinvika [58]
3 years ago
11

Find all the real fourth roots of 0.0001.

Mathematics
1 answer:
Viktor [21]3 years ago
7 0

Answer:

-0.1 and 0.1

Step-by-step explanation:

A fourth root is a number which multiplied by itself 4 times gives 0.0001.

Since it is an even root and the result is positive, the answer must include both negative and positive values. This is true since a negative times a negative is a positive.

0.1*0.1*0.1*0.1 = 0.0001

So the real fourth roots are -0.1 and 0.1.

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Nter the equation of the line in slope-intercept form.<br><br> Slope is 6, and (1, 3)
kupik [55]

Answer:

The equation in the slope-intercept form will be:

y=6x-3

Step-by-step explanation:

Given

  • slope = m = 6
  • point = (1, 3)

As we know that the equation of a line in point-slope form is

y-y_1=m\left(x-x_1\right)

substituting the values m = 6 and point = (1, 3)

y-3=6\left(x-1\right)

Writing the equation in slope-intercept form

y=mx+b

where m is the slope, and b is the y-intercept

so the equation of the line in slope-intercept form becomes

y-3=6\left(x-1\right)

add 3 to both sides

y-3+3=6\left(x-1\right)+3

y=6x-3

Therefore, the equation in the slope-intercept form will be:

y=6x-3

6 0
3 years ago
1
bogdanovich [222]

Answer:

12$ an hour

Step-by-step explanation:

60 minutes in an hour 15 times 4= 60 which is one hour, so 4 times 3 equals 12 which is the answer

4 0
2 years ago
Read 2 more answers
A spherical hot air balloon has a diameter of 55 feet when the balloon is inflated the radius increases at a rate of 1.5 feet pe
Nuetrik [128]

Answer: 46.90mins

Step-by-step explanation:

The given data:

The diameter of the balloon = 55 feet

The rate of increase of the radius of the balloon when inflated = 1.5 feet/min.

Solution:

dr/dt = 1.5 feet per minute = 1.5 ft/min

V = 4/3·π·r³

The maximum volume of the balloon

= 4/3 × 3.14 × 55³

= 696556.67 ft³

When the volume 2/3 the maximum volume

= 2/3 × 696556.67 ft³

= 464371.11 ft³

The radius, r₂ at the point is

= 4/3·π·r₂³

= 464371.11 ft³

r₂³ = 464371.11 ft³ × 3/4

= 348278.33 ft³

348278.333333

r₂ = ∛(348278.33 ft³) ≈ 70.36 ft

The time for the radius to increase to the above length = Length/(Rate of increase of length of the radius)

The time for the radius to increase to the

above length

Time taken for the radius to increase the length.

= is 70.369 ft/(1.5 ft/min)

= 46.90 minutes

46.90mins is the time taken to inflate the balloon.

5 0
3 years ago
Name the property used to solve the problem. 7(4x+20)=28x+140 (7∗4x)+(7∗20) 28x+140
ANTONII [103]

Answer:

I think this is how u spell it

Step-by-step explanation:

Disturbtive

7 0
3 years ago
Solve the graphs? Show Your Work?
kari74 [83]

4.\\x\leq10\\\\5.\\x\leq-4\\\\6.\\x\geq4

4 0
3 years ago
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