Use mathematical induction to prove that, for n ≥ 1, n³ – n is divisible by 3.

Answer:

Slope is 1/5
y intercept is (0,0)

Answer:

1. The answer for the first one is 7/8

2. the 1/4 is larger

3. the 1/2 inch tadapole is larger (note: the smaller the number is in fraction, the larger it is. If the number is larger in the bottom, the number in terms of fraction is smaller.

4. 3 inchies(sorry mispelling)

Step-by-step explanation:

3/8(total)+4/8 = 7/8

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Answer:

equate the two euations

y = 2x - 1 multiply by 4

4y = 8x - 4 equate with the second equation

5x - 4y = 1

5x = 8x - 4 + 1

8x - 5x = 3

3x = 3

x = 1

substitute for x in any of the two equations

y = 2x - 1

y = 2(1) - 1

y = 2 - 1

y = 1

Therefore, according the solution we have got.

Yes, (1,1) is a solution to the system.

The format of the desmos that is used to make one histogram showing the time played (minutes) and the # of goals scored is given in the iimaged attached.

This is known to be a kind of graphical depiction that helps one to organizes a set of data points into a given ranges.

Note that the desmos given below can be used to make one histogram for the time played (minutes) and the # of goals scored when you follow the example that is given in the image attached. You can attached the  time played and the number of goals by following the image description.

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Answer: Step 1

A mistake first happens in Step #1. PEMDAS is not followed correctly.

(PEMDAS = parentheses, exponents, multiplication, division, addition, subtraction)

When solving 8÷2+(3x3-2), you first move left to write and solve the problems working through the correct order of operations.  

Correct Steps:

1)  8÷2 + (3x3-2)

2) 4 + (9-2)

3) 4 + 7

4) 4+7 = 11

Answer:131

Step-by-step explanation:

hope this helps <3

Answer:

39

Step-by-step explanation:

[tex]\sqrt{100-36}+32-1\\\sqrt{64}+31\\8+31\\39[/tex]

Hey there!

√(100 – 36) + 32 – 1

= √(64) + 32 - 1

= 8 + 32 – 1

= 40 – 1

= 39

Therefore, the answer should be: 39

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

x = 66

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

x + 35 + 79 = 180 , that is

x + 114 = 180 ( subtract 114 from both sides )

x = 66

Answer:

I think it would be x<5

Step-by-step explanation:

hope this helps if not let me know have a blessed day

Answer: The answer is d

Step-by-step explanation:

Answer:

A plane is a flat surface that extends endlessly in all the directions.

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Answer:

Yes, you subtract 5 every time

Answer:

no answer

Step-by-step explanation:

1, -2 ; 1, -4 : -4-2/1-1 = no solution

Answer:

The answer is below.

Step-by-step explanation:

Elk: Total elk is 225

Mountain Goat: Total Goat is 164

Deer: Total Deer is 105

Moose: Total Moose is 86

The answer is

for parallel : y= 4/7-5x/7

for perpendicular: y=10+7x/5

The slope-intercept form is written as y = mx+b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis). It's usually easy to graph a line using y=mx+b.

Given line: 5x+7y=9

when our intersection point is (5,-3) the constant

5x+7y

= 5(5)+7(-3)

= 25-21

=4

hence, 5x+7y=4

slope intercept form

7y= 4-5x

y= 4/7-5x/7

Now, for perpendicular lines:

swap the coefficients on x and y with negative sign of x in  5x+7y=9

7x-5y= constant

again, when our intersection point is (5,-3) the constant must be

7x-5y

= 7(5)-5(-3)

=35+15

=50

7x-5y=50

slope intercept form so we solve for y:

y= (50+7x)/5

y=10+7x/5

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Answer:

see the attachment.

i hope this can help you!

Correct answer is B. Very Unlikely

Hope this helps :P

A rectangular fence is to a total perimeter of 200 feet. If the length is twice the width, find the measurements of the length and width of the rectangular fence.

In this question we are provided with the perimeter of a rectangle fence that is 200 feet. It is also given that the length of the fence is twice its breadth. We are asked to calculate it's dimensions.

First we will form an equation.

Let us assume the breadth as x

Then, length = 2x

It is given that the perimeter is 200 feet.

We know,

[tex] \bull \: \small\boxed{ \rm{ Perimeter_{(rectangle)} = 2(length + breadth)}}[/tex]

Substituting the values we get

[tex] \small\sf{ 200 = 2(2x + x)}[/tex]

Now we will solve this equation and find out the value of x.

[tex] \small\sf{ 200 = 2(2x + x)}[/tex]

[tex] \longmapsto \small\rm{ 200 = 2(3x )}[/tex]

[tex] \longmapsto \small\rm{200 = 6x} [/tex]

[tex] \longmapsto \small\rm{ \dfrac{ \cancel{200} \: \: 33.33}{ \cancel{6}} = x } [/tex]

[tex] \small\sf{x = 33.33} [/tex]

We will substitute the value of x = 33.33.

Length = 2x = 2 × 33.33 = 66.66 feet

Breadth = x = 33.33 feet

Answer:

total cost = given hours × rate per hour

Answer:

401.5

Step-by-step explanation:

Answer:

g

Step-by-step explanation:

Based on the treasure map, a person standing at the cup cakes table must walk in the North direction to find the swings​.

A compass simply refers to a scientific instrument that is made up of a magnetized pointer (needle), which is typically used to show and find the following four (4) main cardinal directions on a map:

Based on the treasure map in the image attached below, a person standing at the cup cakes table must walk in the North direction to find the swings​.

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x= V2 x-1

x-V2 x= -1

x+x = 1/V2

2x = 1/V2

x = 1/2V2

x = V2/4

Answer: The final cost would be 68.64

Explanation: Step 1) Convert 22% to a decimal: 0.22

Step 2) Multiply that by the amount (0.22×88=19.36)

Step 3) Subtract from the amount (88−19.36)=$68.64

 Answer $68.64

Answer:

36 different combinations

Answer:

C is the answer

Step-by-step explanation:

C. is only saying how farming seasons would be longer and is not an example of how climate change has impacted the Earth.

Answer:

I believe the answer to your question is the third answer (C).

Step-by-step explanation:

The reason why I chose the third answer is because the destruction of coral reefs is bad because multiple organisms in the water rely on them and if it's destroyed there will be a chain reaction with the ecosystem in a bad way. In addition, it is also not an extinction risk for animals because it is also a disadvantage because biodiversity will decrease and that will also cause problems. I believe a longer farming season is the answer because food and other things that farmers have to grow will last for longer periods of time and won't really disrupt anything going on in the ecosystem I think. I hope this helps although it may be wrong. I am not an expert when it comes to this type of stuff.

a) Angles ACB in ∆ABC and ECD in ∆EDC are congruent, since they form a vertical angle pair.

Angles ABC and EDC are clearly congruent, since they are both right angles.

The legs AB and ED are parallel, so angles BAC and DEC are congruent alternating interior angles.

Then ∆ABC is similar to ∆CDE by the angle-angle-angle postulate.

b) Because they're similar, corresponding sides occur in a fixed ratio, which tells us that

CD/BC = ED/AB

p/(5 cm) = (4 cm)/(6 cm)

p = 10/3 cm