G
Which number line can be used to find the distance between (-1, 2) and (-5, 2)?
--7-6-5
-3-2
0
1
2
3
-2 -1 0
1
2
3
5
6 7
8
-7 -6 -5 4 3 - -
0 1
2
3
1
2
3 4 5

Answer:

1. C. Rotation

-The rectangle rotated clockwise

2. A. Translation

-The shape moved  but it didn't change its appearance in any other way, which concludes to your answer "translation"

Answer:

1) C

2) B

Step-by-step explanation:

1) they rotated the rectangle

2) you see the reflection

Answer: 9 1/8x

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Uninhibited growth can be modeled by exponential functions other than [tex]A(t)=A_{0}e^{kt}[/tex]. for example, if an initial population P₀ requires n units of time to triple, then the function [tex]P(t)=P_{0}(3)^{\frac{t}{n} }[/tex] models the size of the population at time t. An insect population grows exponentially. Complete the parts a through d below.

a) If the population triples in 30 days, and 50 insects are present initially, write an exponential function of the form [tex]P(t)=P_{0}(3)^{\frac{t}{n} }[/tex] that models the population.

b) What will the population be in 47 days?

c) When wil the population reach 750?

d) Express the model from part (a) in the form [tex]A(t)=A_{0}e^{kt}[/tex].

Answer: a) [tex]P(t)=50(3)^{\frac{t}{30} }[/tex]

              b) P(t) = 280 insects

              c) t = 74 days

             d) [tex]A(t)=50e^{0.037t}[/tex]

Step-by-step explanation:

a) n is time necessary to triple the population of insects, i.e., n = 30 and P₀ = 50. So, Exponential equation for growth is

[tex]P(t)=50(3)^{\frac{t}{30} }[/tex]

b) In t = 47 days:

[tex]P(t)=50(3)^{\frac{t}{30} }[/tex]

[tex]P(47)=50(3)^{\frac{47}{30} }[/tex]

[tex]P(47)=50(3)^{1.567}[/tex]

P(47) = 280

In 47 days, population of insects will be 280

c) P(t) = 750

[tex]750=50(3)^{\frac{t}{30} }[/tex]

[tex]\frac{750}{50}=(3)^{\frac{t}{30} }[/tex]

[tex](3)^{\frac{t}{n} }=15[/tex]

Using the property Power Rule of logarithm:

[tex]log(3)^{\frac{t}{30} }=log15[/tex]

[tex]\frac{t}{30}log(3)=log15[/tex]

[tex]t=\frac{log15}{log3} .30[/tex]

t = 74

To reach a population of 750 insects, it will take 74 days

d) To express the population growth into the described form, determine the constant k, using the following:

A(t) = 3A₀ and t = 30

[tex]A(t)=A_{0}e^{kt}[/tex]

[tex]3A_{0}=A_{0}e^{30k}[/tex]

[tex]3=e^{30k}[/tex]

Use Power Rule again:

[tex]ln3=ln(e^{30k})[/tex]

[tex]ln3=30k[/tex]

[tex]k=\frac{ln3}{30}[/tex]

k = 0.037

Equation for exponential growth will be:

[tex]A(t)=50e^{0.037t}[/tex]

Answer:

first use your brain

Step-by-step explanation:

step by step you have to learn first

Answer:

30

Step-by-step explanation:

15 x 2 = 30

he was q5 feet ahead so in another hour he will be 30 feet

Answer:

It is a positive slope.

The slope is 2 over 4 (2/4) or 1/2.

The equation would be Y= 1/2x + 3.

Answer:

C = 94

Step-by-step explanation:

Say the centre point is Y, then the triangle BCY is an isosceles, therefore angle BCY = angle CBY

So the base points of that triangle are both 47, to find the angle of BYC, you just do:

180 - 47 - 47 = 86

and then since x is on a line with 86, and angles on a straight line add up to 180:

180 - 86 = 94

answer is 94 degrees

Answer:

94

Step-by-step explanation:

Answer:

5.888 * 10^2

Step-by-step explanation:

3.56*102=363.12

2.17*104= 225.68

363.12+225.68= 588.8

Answer:

Step-by-step explanation:

X+y=8

X=2y-8

Answer:

8 lions 15 tigers

Step-by-step explanation:

Answer:

(7m+34)

Step-by-step explanation:

Add like terms 3m+4m=7m, 13+21=34

You have to make sure to add like terms.  In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power.

Answer: -3/8

Step-by-step explanation:

Answer:

12 i think?

Step-by-step explanation:

Answer: 476

Step-by-step explanation:

204 miles/3 hours = 68 miles

68 miles x 7 hours = 476 miles

Answer:

[tex]f(x)=6x[/tex] is a direct variation.

Step-by-step explanation:

Given the function

[tex]f(x)=6x[/tex]

We have to determine whether the equation [tex]y=6x[/tex] is a direct variation or not.

As we know that in direction variation, y and x increase or decrease by the same factor by the formula

[tex]y=kx[/tex]

where 'k' is the constant of variation

Given the function

[tex]y=6x[/tex]

Here 6 is the constant of variation            ∵ [tex]y=kx[/tex]

Also y and x increase and decrease by the same factor

For example,

when x=6, y = 6(x)=6(6)=36

when x=8, y = 6(x) = 6(8) = 48

Hence, when x increase, the y increases by the same factor.

Therefore, [tex]f(x)=6x[/tex] is a direct variation.

Answer:

-14 x -4

Step-by-step explanation:

i did the quiz lol

Answer:

A

Step-by-step explanation:

took the quiz, hope this helps.

Answer:

4.500

Step-by-step explanation:

Answer:

Yes, SAS

Step-by-step explanation:

The Triangle Congruence Theorem would be SAS as there are 2 equal sides with lines (AB = xy) and (BC = yz)

And there are is a pair of equal angles as they both have a 90 degree angle

= SAS

Answer:

3750

Step-by-step explanation:

Simple interest (I) is calculated as

I = [tex]\frac{PRT}{100}[/tex] ( P is the principal, R is rate of interest and T time in years )

Here P = 25000, R = 5 and T = 3 , thus

I = [tex]\frac{25000(5)(3)}{100}[/tex]

  = [tex]\frac{375000}{100}[/tex]

  = 3750

Answer:

23

Step-by-step explanation:

7 - 5p + 3q

p = 1, q = 7

Substitute in the values of "p" and "q", and solve;

7 - 5(1) + 3(7)

7 - 5 + 21

2 + 21

23

Answer:c=2m+1.50

Step-by-step explanation:

If you plug in each mile for M that’s how you get the answer .

Answer:

213 acres

Step-by-step explanation:

Answer:

The greatest common factor of 128 and 192 is 64, because 64 is the highest number that is divisible by both numbers.

The greatest common factor of 128 and 192 is 64 because 64 is the highest number that is divisible by both numbers.

The greatest common factor is the largest positive number which can be divided into given numbers evenly.

In mathematics, the largest positive integer that divides each of the integers is known as the greatest common divisor of two or more integers that are not all equal to zero. The greatest common divisor of two integers is x and y.

Given that the two numbers are 128 and 192. The greatest common factor is the largest number which is divided into both numbers.

128 = 2 x 2 x 2 x 2 x 2 x 2 x 2

192 = 2 x 2 x 2 x 2 x 2 x 2 x 3

The greatest common factor is,

GCF =  2 x 2 x 2 x 2 x 2 x 2

GCF = 64

To know more about the greatest common factor follow

https://brainly.com/question/219464

#SPJ2

162 cow-days

Since the initial grass and the grass accumulated over 4 days is equal to 144 cow-days, the initial grass is equal to (144 − 36) or 108 cow-days. Now, to find the answer to the question: in 18 days, the grass accumulation is equal to 18 ∗ 9 or 162 cow-days.

Please consider marking brainliest! :)

Using the principle of proportional relationship, it will take 20 cows 7.2 days.

Setting up the relationship thus :

36 cows = 4 days

Hence, if they eact at the same rate ;

1 cow = 36 × 4 = 144 days

Hence, for 20 cows, it will take;

144 days ÷ 20

= 7.2 days

Hence, 20 cows will feed on the grass for 7.2 days

Learn more : https://brainly.com/question/25677607

Answer:

[tex](x+6)(x-1)[/tex]

Step-by-step explanation:

[tex]x^{2}+5x-6\\[/tex]

ac ⇒ [tex]1*-6[/tex] ⇒ [tex]-6[/tex]

b ⇒ 5

[tex]6*-1=-6\\6-1=5[/tex]

[tex](x+6)(x-1)[/tex]

[tex]x*x=x^2\\x*-1= -x\\6*x=6x\\6*-1=-6\\\\x^2-x+6x-6\\x^2+5x-6[/tex]

Complete question is;

Justin has a crate that is 8 feet long, 2 feet wide, and 3 feet tall. Decide whether each of the crate sizes described below has the same volume as Justin’s crate.

a. 9 feet long, 1 foot wide, 4 feet tall

b. 8 feet long, 2 feet wide, 2 feet tall

c. 4 feet long, 4 feet wide, 3 feet tall

d. 8 feet long, 3 feet wide, 3 feet tall

e. 6 feet long, 2 feet wide, 4 feet tall Answer:

Options C & E have the same volume as Justin's crate.

Step-by-step explanation:

We are told Justin has a crate that is 8 feet long, 2 feet wide, and 3 feet tall.

Thus, original volume is;

V_o = 8 × 2 × 3 = 48 ft³

A) For a dimension of 9 feet long, 1 foot wide, 4 feet tall , volume is;

V_a = 9 × 1 × 4 = 36 ft³

B) For a dimension of 8 feet long, 2 feet wide, 2 feet tall, volume is;

V_b = 8 × 2 × 2 = 32 ft³

C) For a dimension of 4 feet long, 4 feet wide, 3 feet tall, volume is;

V_c = 4 × 4 × 3 = 48 ft³

D) For a dimension of 8 feet long, 3 feet wide, 3 feet tall, volume is;

V_d = 8 × 3 × 3 = 72 ft³

E) For a dimension of 6 feet long, 2 feet wide, 4 feet tall, volume is;

V_e = 6 × 2 × 4 = 48 ft³

Looking at all the options, the only ones that given a volume equal to Justin's original volume are options C & E.

Answer: A' ( -1,4) , B' (-4,4), C'(  -5 ,-1), D'( -1,-5)

Im not 100% sure its correct, its hard without an image or a picture of the problem

Step-by-step explanation: