7. A herd of 100 caribou was moved to a
new location. The population increased
by 10% the first year and then increased
by 20% the second year.
a) Find the population after the second
year.
b) Explain why there was not a 30%
increase in population over the two years.

Answer:

see explanation

Step-by-step explanation:

From the table

1 → - 2 ⇒ 1 - 3

2 → - 1 ⇒ 2 - 3

3 → 0 ⇒ 3 - 3

The rule is subtract 3 from the input to obtain output , then

4 → 4 - 3 = 1

n → n - 3 ← is the general rule for the table

It takes 6 hours to reach the destination when traveling at 388 mph.

Speed is the ratio of total distance traveled to the total time taken It is given by:

Speed = distance/time

Given that it takes 4 hours to reach a destination when travelling at 582mph, hence the distance is:

582 = distance / 4

distance = 2328 miles

If travelling at 388 mph, the time is:

388 = 2328 / time

time = 6 hours

Hence it takes 6 hours to reach the destination when traveling at 388 mph.

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Answer:

88 trucks

Step-by-step explanation:

Ratio of cars : vehicles = 5:13

Hence, the ratio of trucks : vehicles = 8:13

143/13 = 11

If the number of vehicles is 143,

we have to multiply both sides of the ratio by 11:

8*11 : 13* 11

88 : 143

Hence, there are 88 trucks for every 143 vehicles.

Hope this answers your question... Have a wonderful time ahead at Brainly!

Answer:

I think the answer is c

Step-by-step explanation:

Answer:

z = 4/3 or 1 1/3

Step-by-step explanation:

z−4/9−1/3=5/9

Change 1/3 to have a denominator of 9

1/3 *3/3 = 3/9

z−4/9−3/9=5/9

Combine like terms

z -7/9 = 5/9

Add 7/9 to each side

z-7/9+7/9 = 5/9+7/9

z = 12/9

z=4/3

or as a mixed number

z = 1 1/3

Answer:

absolute value of n - 29

Step-by-step explanation:

n - 29

The converse statement involves switching the hypothesis and the conclusion of a conditional statement.

The correct statement is (d) If B is the midpoint of AC, then AB = BC.

The converse of the given conditional statements are:

From the above statements, (a), (b) and (c) are not the same as the conditional statement, because:

For option (d):

For B to be a midpoint of AC, it means that sides AB and BC are congruent.

Hence, the correct statement is (d)

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Answer:

y= [tex]\frac{5}{6} x[/tex] + 4

Step-by-step explanation:

Pick two points: (-6,-10) and (0,4)

Then solve for m (slope): I picked (0,4)

[tex]m= \frac{4-(-1)}{0-(-6)} =\frac{5}{6}[/tex]

Then put in slope intercept form:

4= [tex]\frac{5}{6} (0)[/tex] + b

4=b

Then put in final form:

y= [tex]\frac{5}{6} x[/tex] + 4

Hope this helps!

Answer:

y=5/6x+4

Step-by-step explanation:

Given :-

To find :-

Solution :-

As we know that ,

Substitute ,

Answer:16/20 equals 4/5

Step-by-step explanation:they are asking what is the probability that it is green so we know that 16 counters is green and total counters is 20 so it’s 16/20 and then you simplify it the answer is 4/5

Answer:

[tex]\sf\longmapsto \: \frac{ - 792}{8} [/tex]

Step-by-step explanation:

[tex]\sf\longmapsto \: (−4− \frac{1}{2} ) {}^{3} [/tex]

[tex]\sf\longmapsto \: (− \frac{9}{2} ) {}^{3} [/tex]

[tex]\sf\longmapsto \: \frac{ - 729}{8} [/tex]

[tex]\sf\longmapsto \: Decimal: -91.125[/tex]

Point M(-6,8) is dilated from the origin with a scale factor of 1/2, hence the new point is M'(-3, 4)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.

If a point A(x, y) is dilated by a factor k, the new point is A'(kx, ky).

Given Point M(-6,8) is dilated from the origin with a scale factor of 1/2, hence the new point is at:

M'(-3, 4)

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Answer:

it is 14

Step-by-step explanation:

if X=14 then Y=84

Answer:

1 hour 36 minutes

Step-by-step explanation:

Amount of time the journey takes = 80km ÷ 50km/h

                                                        = 1.6h

                                                        = 1h 36mins

[tex]x + 18 = 54 \\ = > x = 54 - 18 \\ = > x = 36[/tex]

Option A. x = 36

Hope it helps

ray4918 here to help.

_____________

[tex] \: [/tex]

x + 18 = 54

x = 54 - 18

x = 36✔ (A.)

Answer:

The x and y intercept are (96,30)

Step-by-step explanation:

8y=240-2.5x

y=240/8-2.5x/8

y=30-0.3125x

The y intercept=30

The x intercept=96 thus 30=0.3125x,x=30/0.3125

Answer:

Step-by-step explanation:

V=t+s+u, for the letter u please and thank you

v  = t + s + u

u = v - s - t

Based on the change in the perimeter, the scale factor of the dilation is 3.5.

The scale factor of the dilation refers to the number of times the triangle was dilated such that it went from 12 inches to 42 inches.

This dilation can be found as:

= Increased perimeter / Original perimeter

Solving for it would give:

= 42 / 12

= 3.5

In conclusion, the scale factor of the dilation is 3.5.

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Answer:

I'm not sure from my answer but I'm going to try

A =  { a^2  -  4  = 0 }

A = { a^2  = 0+ 4 }

A = { a^2  = 4}

Take root of both sides

A = {a = 2}

A = {2}

B = { -2, -1, 0, 1, 2}

C = { 1, 2, 3, 4, 5, 6,7}

i) A\B

= {2} \ {-2,-1,0,1,2}

= ⌀ ( "null set" )

ii) (A\B) \C

= ( {2} \ {-2,-1,0,1,2} ) \ C

= ⌀ \ C

= ⌀ \ { 1, 2, 3, 4, 5, 6,7}

= ⌀ ( "null set" )

iii) (A ∪ B) \ C

= ( { 2 } ∪ { -2, -1, 0, 1, 2} ) \ C

= { -2, -1, 0, 1, 2} \C

= { -2, -1, 0, 1, 2} \ { 1, 2, 3, 4, 5, 6,7}

= { -2, -1, 0 }

iv) ( A\B) ∩ ( A\C)

= (  { 2 } \ {-2,-1,0,1,2} ) ∩ ( { 2 } \ { { 1, 2, 3, 4, 5, 6,7} )

= ⌀ ∩ ⌀

= ⌀

v) ( A ∩ B ) \ C

= ( { 2 }  ∩  { -2, -1, 0, 1, 2 } ) \ C

= { 2 } \ { 1, 2, 3, 4, 5, 6, 7 }

= ⌀ "null set"

Answer:

13 2/15

Step-by-step explanation:

Answer:

it would be roughly 24 hours

Step-by-step explanation:

180÷14

12.8571428571

simplify to 12.85

12.85× X = 300

X=24

Answer:

Factor the numerator and denominator and cancel the common factors.

x/4+3/2 or 32/4  or Reduce the expression, if possible, by cancelling the common factors. 8 is your final answer

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

First, you substitute.

x + 6 / 4

26 + 6 / 4

Then, you add.

26 + 6 = 32

Finally, you divide.

32 / 4 = 8

Answer: 8

Answer: 210 grams

Step-by-step explanation:

Given,

One cube= 5 grams of paint

According to question,

There are= (9*2)+(6*4) cubes

               = 18+24 cubes

                =42 cubes

Total paint needed= 5*42 grams

                               =210 grams(answer)

Answer:

Distance is 10

Step-by-step explanation:

distance between y1=2x-3 and y2= 2x+7

y2 - y1 = (2x +7) - (2x - 3) = 10

Answer:

10

Step-by-step explanation:

.

.

.......... ......

Answer:

Step-by-step explanation: