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Lemur [1.5K]
3 years ago
10

Planes X and Y and points J, K, L, M, and N are shown. Vertical plane X intersects horizontal plane Y. Point L is on the left ha

lf of plane Y. Point N is on the bottom half of plane X. Point M is on the right half of plane Y. Point K is on the top half of plane X. Point J is above and to the left of the planes. Exactly how many planes contain points J, K, and N? 0 1 2 3
Mathematics
1 answer:
____ [38]3 years ago
7 0

Answer:

  1

Step-by-step explanation:

Three points define 1 plane.

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A tree double in weight in three months. How long will it take to be 1600% in weight? (Linear or exponential growth?)
Ray Of Light [21]

Answer: 12 months

Step-by-step explanation:

Given : A tree double in weight in three months.

Since the weight is increasing by growth factor of 2 , therefore its is an exponential growth.

The exponential growth equation is given by :-

y=Ab^x   (1)

, where A is the initial values , b is the growth factor and x is the time period.

As per given , b= 2

Since the tree doubles in weight in three months, so time period x =\dfrac{t}{3} , where t= number of months.

Substitute the value of  b and x in (1) , we get

y=A(2)^{\dfrac{t}{3}} , where y= weight of tree after t months and A is initial weight of tree.

When it will be 1600% of his initial weight , the weight of tree : y= 1600% of A =\dfrac{1600}{100}\times A=16A

At y= 16 A , 16A=A(2)^{\dfrac{t}{3}}

\Rightarrow\ 16=2^{\dfrac{t}{3}}

\Rightarrow\ 2^{4}=2^{\dfrac{t}{3}}

\Rightarrow\ 4=\dfrac{t}{3}\Rightarrow\ t=3\times4=12

Hence,  it will take 12 months to be 1600% in weight.

6 0
3 years ago
The graph of the function y = f(x + 26) can be obtained from the graph of
krek1111 [17]

Answer:

left 26 units

Step-by-step explanation:

inside the parentheses means left or right, and it also means opposite direction.

7 0
3 years ago
Read 2 more answers
Solve the system by the substitution method. Show your work.<br> 2y - x = 5<br> x^2 + y^2 - 25 = 0
Elza [17]
2y - x = 5
x^2 + y^2 - 25 = 0

x = 2y - 5

(2y-5)^2 + y^2 - 25 = 0
(2y-5)(2y-5) + y^2 - 25 = 0
4y^2 - 20y + 25 + y^2 - 25 = 0
5y^2 - 20y = 0
y = 0 , y = 4

x = 2y - 5 , when y = 0
x = - 5

x = 2y - 5 , when y = 4
x = 8 - 5
x = 3
6 0
3 years ago
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Dennis_Churaev [7]

Answer:

Hi

Step-by-step explanation:

Hi

4 0
2 years ago
It takes Lucas 3 hours to cycle from his home to his friends village but if travels 5 mph slower, it will take him 1.5 hours lon
Alika [10]

The distance from friend's village to Lucas's house is 45 miles

Step-by-step explanation:

Lets assume the distance from Lucas home to friend's village is x miles

The time taken to cycle from Lucas home to friend's village is 3 hrs....t₁

The time taken if travelling at a 5 mph reduced speed is 1.5 hrs longer......t₂

t₂=4.5 hrs

t₁= 3 hrs

Speed for cycle in first instance, where t₁=3 hrs and distance is x miles

s₁=d/t = x/3 mph

Speed for cycle if travelling at a slower speed,

s=\frac{x}{3}-5

Time taken in the second instance when travelling at a slower speed

=\frac{x}{\frac{x}{3}-5 }=4.5\\ \\\frac{3x}{x-15} =4.5\\\\\\3x=4.5(x-15)\\\\3x=4.5x-67.5\\\\\\67.5=4.5x-3x\\\\\\67.5=1.5x\\\\\\67.5/1.5=x\\\\\\45=x

The distance from friend's village to Lucas's house is 45 miles

Learn More

Formula for speed:brainly.com/question/13664094

Keywords: cycle,home, village, travels,slower,longer

#LearnwithBrainly

6 0
3 years ago
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