Mouse population is 25,000 and is decreasing at a rate of 20% per year what is the population of mice after 3 years

Answer:

3, - 6 )

Step-by-step explanation:

Since the dilatation is centred at the origin , multiply the original coordinates by the scale factor, that is

(6, - 12 ) → ([tex]\frac{1}{2}[/tex] × 6, [tex]\frac{1}{2}[/tex] × - 12 ) → (3, - 6 )

Answer:

[tex]5x^2+x-5[/tex]

Step-by-step explanation:

[tex](3x^2+2x+1)+(2x^2-4x-5)+(3x-1)= \\\\(3x^2+2x^2)+(2x-4x+3x)+(1-5-1)= \\\\5x^2+x-5[/tex]

Hope this helps!

The answer is 854.5 ft

I havent done surface area in a while so it might be slightly off

Answer:

65.46 meters cubed

Step-by-step explanation:

Answer: the answer is V= 125/6πm^3

Step-by-step explanation: edge 2021

Answer:

The main principle of solving equations is to find the unknown value

Step-by-step explanation:

For example:

 [tex]x + 3 = 6[/tex]

     [tex]-3=-3[/tex]

       [tex]x=3[/tex]

I hope this helps

Answer:

The fundamental principle of equation solving is based on the fact that after applying the same operation on both sides of the equation the solutions of the original equation are also solutions of the new equation.

Step-by-step explanation:

Answer:

60 lemons/ 15 cents=4 lemons so

4 lemons can be bought for 60 cents

Answer:

8 1/8

Step-by-step explanation:

2 4/8 plus 5 5/8

4/8 because it equals to 1/2

Answer:

8 1/8

Step-by-step explanation:

2 1/2+ 5 5/8

2 4/8 + 5 5/8

7 9/8

8 1/8

Answer:9/16

Step-by-step explanation:

Since we know it's 3/4 use

r=(3/4)²  .... [tex](\frac{3}{4} x\frac{3}{4} )[/tex] =[tex]\frac{9}{16}[/tex]

Answer:

Answer = decrease of 22 m/min

I believe the answer is 142 degrees.

38 degrees and 7 are adjacent, meaning adding them up will get you 180 degrees. 180-38=142, so 7 is 142.

Number 7 and 5 are corresponding, so they are equal.

This means that 5 is 142 degrees.

(I think)

Answer:

1764 ways

Step-by-step explanation:

Given:

Men = 9

Women = 7

Required Men: 3

Required Women: 2

'

Required

Total Possible Outcome

The total possible outcome can be determine as follows;

Total = (Selection of Men) and (Selection of Women)

Calculating Selection of Men;

Let n represent total number of men; This implies that n = 9;

Let r represent number of men to select; This implies that r = 3;

The selection can be done in the following ways;

[tex]Male = nCr[/tex]

Where [tex]nCr = \frac{n!}{r!(n-r)!}[/tex]

[tex]Male = 9C3[/tex]

[tex]Male = \frac{9!}{3!(9-3)!}[/tex]

[tex]Male = \frac{9!}{3!(6)!}[/tex]

[tex]Male = \frac{9 * 8 * 7 * 6!}{3!6!}[/tex]

[tex]Male = \frac{9 * 8 * 7}{3!}[/tex]

[tex]Male = \frac{9 * 8 * 7}{3*2*1}[/tex]

[tex]Male = 84 ways[/tex]

Calculating Selection of Women;

Let n represent total number of men; This implies that n = 7;

Let r represent number of men to select; This implies that r = 2;

The selection can be done in the following ways;

[tex]Female = nCr[/tex]

Where [tex]nCr = \frac{n!}{r!(n-r)!}[/tex]

[tex]Female = 7C2[/tex]

[tex]Female = \frac{7!}{2!(7-2)!}}[/tex]

[tex]Female = \frac{7!}{2!(5)!}[/tex]

[tex]Female = \frac{7 * 6 * 5!}{2!5!}[/tex]

[tex]Female = \frac{7 * 6}{2!}[/tex]

[tex]Female = \frac{42}{2*1}[/tex]

[tex]Female = 21 ways[/tex]

Recall that

Total = (Selection of Men) and (Selection of Women)

Hence,

[tex]Total = 84 * 21[/tex]

[tex]Total = 1764 ways[/tex]

Answer: y = 27 degrees

Step-by-step explanation:

x = 90 degrees (right angle)

90 + 63 = 153

180 - 153 = 27

Answer:

Translation (moving the figure) will map figure 1 onto figure 2 and then after this , dilation by a scale factor of "2"

Answer:

The first one is Translation 3 units down and8 units left, then a dialationby a scale factor of 2

Step-by-step explanation:

Answer:

5/10

Step-by-step explanation:

0.5 is 5 tenths which is 5/10

Answer:

depende de del grueso de la cometa

Step-by-step explanation:

Answer:

x= 8in

Step-by-step explanation:

area of kite = diagonal1*diagonal2/2

60. = 15 *x. /2

->x = 60*2/15=8in

i would  C because it the lights didnt bend

it went through

Answer:

Step-by-step explanation:

[tex]\sqrt{-2}=\sqrt{2}i\\\\\sqrt{-18}=\sqrt{2*3*3}i=3\sqrt{2}i\\\\\sqrt{-2}+\sqrt{-18}= \sqrt{2}i+3\sqrt{2}i\\ =(1+3)\sqrt{2}i\\\\=4\sqrt{2}i[/tex]

Answer:

Step-by-step explanation:

-0.75 + 0.4 + 0.4 - 0.75

-1.50 + 0.8

-0.70

82 ÷ 15 = 5.4

Mixed number form: 5 ⁷/₁₅

Answer:

the answer is 5.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

When you multiply two terms with same base, add the exponents.

Example:  x*x² = x* x*x = x³

In short, x*x² = x¹⁺² = x³

[tex]y^{9}*y^{2}=y^{9+2}\\\\ = y^{11}[/tex]

Answer:

3t-21

2t²-6t

-3st-15s

9-x²

16x²-49

Step-by-step explanation:

In general

A(B+C)=AB+AC

(A+B)(D+C)=AD+AC+BD+BC

(A+B)(A-B)=A²+AB-BA-B²=A²-B²

ANSWER:

1) 3(t-7)

= 3t-21

2) 2t(t-3)

= 2t^2-6t

3) -3s(t+5)

= -3st-15s

4) (3+x)(3-x)

= 9-3x+3x-x^2

5) (4x-7)(4x+7)

= 16x^2 -28x+ 28x-49

To find the length of FE subtract t E feom F

FE = 5-2 = 3 units long

Answer:

Your total fare including tip is $20.2

Step-by-step explanation:

Cost for first 0.5 mile = $ 3.20

Now we are given that Additional mileage is charged at the rate of $0.25 for each 0.1 mile.

It is 6.5 miles to your grandmother’s house.

So, remaining distance = 6.5-0.5=6 miles

Cost for 0.1 mile = $0.25

Cost for 1 mile =[tex]\frac{0.25}{0.1}[/tex]

Cost for 6 mile = [tex]\frac{0.25}{0.1} \times 6=15[/tex]

You plan to give the driver a $2.00 tip.

So, Total cost = $2+$3.2+$15=$20.2

Hence your total fare including tip is $20.2

please see the attached picture

hope it helps

good luck on your assignment

Answer:

BE = 3.6 units

BD = 12.4 units

Step-by-step explanation:

From the picture attached,

Since DE║AC, ΔBDE and ΔABC will be similar.

In these similar triangles corresponding side will be in the same ratio.

[tex]\frac{BD}{AB}=\frac{BE}{BC}[/tex]

[tex]\frac{AB-AD}{AB}=\frac{BE}{BC}[/tex]

[tex]1-\frac{AD}{AB}=\frac{BE}{BC}[/tex]  

1 - [tex]\frac{BE}{AB}=\frac{BE}{BC}[/tex] [Since AD = BE]

1 - [tex]\frac{BE}{16}=\frac{BE}{24}[/tex]

1 = [tex]\frac{BE}{16}+\frac{BE}{24}[/tex]

1 = [tex]BE(\frac{3+2}{48})[/tex]

BE = [tex]\frac{18}{5}[/tex]

BE = 3.6 units

Therefore, AD = BE = 3.6 units [given]

Now BD = AB - AD

              = 16 - 3.6

              = 12.4 units

Answer: 9x-20

Step-by-step explanation:

The function is [tex]f(x)=3x-5[/tex], in order to obtain f(f(x)) you have to replace x in the function by the function itself:

[tex]f(f(x))=3(3x-5)-5=9x-15-5=9x-20[/tex]

Answer:

242 integers

Step-by-step explanation:

We have to find the number of integers between 17 and 2678 which are the multiple of 11.

Divide 17 by 11 = [tex]\frac{17}{11}=1.55[/tex]

Smallest multiple of 11 which is greater than 11 = 2nd multiple = 22

Divide the largest number 2678 by 11 = [tex]\frac{2678}{11}=243.45[/tex]

Largest multiple of 11 which is less than 2678 = 443rd multiple

                                                                            = 243 × 11

                                                                            = 2673

Therefore, number of integers between 17 and 2678 multiple of 11

= 243 - 2 + 1

= 242 integers

Answer:

342 ft squared

Step-by-step explanation:

You know how to find the area of a rectangle: Multiply the dimensions together (length x width).

You can also see that the garden is inside the deck, and that it is also a rectangle. Therefore, you can find the area of the deck ONLY by subtracting the area of the small rectangle from the big one.

First, find the area of the big rectangle:

18 * 25 = 450 ft squared

Now, find the area of the small one:

9 * 12 = 108 ft squared

Finally, subtract the area of the small rectangle from the area of the big one:

450 - 108 = 342 ft squared

Hope this helps! Please comment on this answer if you have any questions :)