Plz Help The function shown models the total number of insects in a colony x months after a small number of the insects are brought into a region.

What was the total number of insects in the colony when they were first brought into the region ? Enter your answer in the box​

Answer:

The distance between the two points is [tex]\sqrt{26}[/tex]

Step-by-step explanation:

The formula of the distance between two points (x1, y1) and (x2, y2) is

d = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]

∵ The points are (-1, 3) and (4, 2)

∴ x1 = -1 and x2 = 4

∴ y1 = 3 and y2 = 2

→ Substitute them in the formula of the distance above

∵ d = [tex]\sqrt{(4--1)^{2}+(2-3)^{2}}[/tex]

∴ d = [tex]\sqrt{(4+1)^{2}+(-1)^{2}}[/tex]

∴ d = [tex]\sqrt{(5)^{2}+1}[/tex]

∴ d = [tex]\sqrt{25+1}[/tex]

∴ d = [tex]\sqrt{26}[/tex]

∴ The distance between the two points is [tex]\sqrt{26}[/tex]

Answer:

y=2x+5

because y is the final cost, x is the amount of miles times 2 since each mile costs $2, and an addition $5 for the taxi-pickup

Answer:

The transformation is (x,y) to (x-2,y-6)

Step-by-step explanation:

First of all, we note the coordinates of the point G

The coordinates of the point G is (2,6)

To bring this to the origin, we are looking at bringing it to the point (0,0)

To do this, we subtract 2 from the x-value and 6 from the y value

So what we have is that;

(x-2) and (y-6)

(x-2, y-6)

Answer:

im pretty sure its b

Step-by-step explanation:

Answer:

it is c

Step-by-step explanation:

because it has +4 with f(x)

Answer:

0.07m + 30 = 59.40

Mr Gonzalez used 420 minutes last month

Step-by-step explanation:

To represent how much money Mr. Gonzales was charged for using minutes, use the term 0.07m.

Then, add 30 to this to represent the monthly fee:

0.07m + 30

Lastly, set this equal to 59.40 because that was his total bill for the month:

0.07m + 30 = 59.40

So, the equation for the situation is 0.07m + 30 = 59.40

Solve for m in the equation:

0.07m + 30 = 59.40

0.07m = 29.40

m = 420

So, Mr Gonzalez used 420 minutes last month.

Answer:59.40

Step-by-step explanation:

Answer:

4.8

Step-by-step explanation:

Answer:

48 miles per hour

Step-by-step explanation:

first I would convert everything to hours It makes it easier. That means that 3 hours and 45 mins becomes 3 3/4 hours So now you have 180/3.75 = the rate. To find the answer, simply divide that, and you get 48. 48 miles per hour

Answer:

ASK

DISTANCE DISTANCE FORMULA DISTANCE WORD PROBLEMS DISTANCE, RATE, TIME SPEED DISTANCE TIME DISTANCE WORD PROBLEM

Michaela B. asked • 09/02/15

A car travels 180 miles in t hours at a speed of r mph. If the car travels half as fast but three times as long, how far does it travel?

Use the fact that distance equals speed times time.

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2 Answers By Expert Tutors

By:

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Michael J. answered • 09/02/15

TUTOR 5 (5)

Effective High School STEM Tutor & CUNY Math Peer Leader

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d = vt

where:

v = speed

d = distance

t = time

Based on the formula, each quantity is directionally proportional to each other. Since we don't have enough numbers to work with, we will utilize our concept skills.

If the car travels half the speed, then the car is slowing down and covers a short distance in a certain amount of time than it did originally. So we divide the default distance by 2.

180 / 2 = 90

The new distance so far is 90 miles.

But now it takes the car 3 times as long to get to its destination. The longer it takes, the more distance you will cover. Multiply the current distance by 3.

90 * 3 = 270

The car travels 270 miles.

Answer:

B

Step-by-step explanation:

3x + 4(x-1) = 10

3x+4x-4=10

7x-4=10

+4     +4

7x=14

/7   /7

x=2

y=(2)-1

y=1

Answer:

1 inch equals 8 feet

Step-by-step explanation:

Given that;

Abigail drew a scale drawing of the oldest house in her town.

The actual  length of the house = 64 feet long

Abigail scale drawing =  8 inches long

The scale he used in drawing the house is determined by choosing a perfect scale:

i.e

If 8 inches is used to draw an actual length of a house which is 64 feet long,

Then 1 inch should be able to draw (64 feet * 1 inch)/ 8 inches

So, 1 inch should be able to draw 8 feet long

The scale used to draw the given house is required.

The scale used to draw the diagram is 1 inch equals 8 feet.

Actual length of the house = 64 feet

Scale drawing length = 8 inches

So,

[tex]64\ \text{feet}=8\ \text{inches}[/tex]

Now, the inches to feet is required.

So, we divide both sides with 8.

[tex]\dfrac{64}{8}\ \text{feet}=\dfrac{8}{8}\ \text{inches}\\\Rightarrow 8\ \text{feet}=1\ \text{inch}[/tex]

So, 1 inch in the diagram is 8 feet of actual length.

Learn more about scale diagrams:

https://brainly.com/question/3489790

Answer:

2. x=5

y=10

3. x=21

y=4

Step-by-step explanation:

2. 13y=20x+3y    10y=20x

8x+y=180-13y      14y=180-8x

y=2x    plugging that into 14y=180-8x   28x=180-8x     36x=180   x=5

plug x into 10y=20x    10y=100    y=10

3. 3(x+y)=(4x-9)    3x+3y=4x-9   x=3y+9

5x=180-4x+9        9x=189          x=21

plug 21 into x=3y+9     21=3y+9    12=3y    4=y

Answer:

Here x=10° ,2x=20° ,5x=50°

Answer:

Answer:

Let x be the number of hits Ricky has. Then x+277 is the number of hits Pedro has. Adding Ricky's and Pedro's hits give you 2685 hits. Therefore, x+(x+227)=2685 2x+227=2685 2x=2408 x=1204 x+277 1481 Therefore, Ricky has 1204 hits and Pedro has 1481 hits.

Step-by-step explanation:

Answer:

The super market offers the best deal

Step-by-step explanation:

Answer:

Its the super market  ~your friendy neighborhood austrailain~

Step-by-step explanation:

Answer:

g(x) has a minimum

Step-by-step explanation:

Given a quadratic in standard form

g(x) = ax² + bx + c ( a ≠ 0 )

• If a > 0 then vertex is a minimum

• If a < 0 then vertex is a maximum

Given

g(x) = x² - 5x + 2 ← in standard form

with a > 0 , thus

g(x) has a minimum

Answer:

0.75

Step-by-step explanation:

Answer:

A. 6

[tex] \frac{8}{ - 4} \div \frac{ - 3}{9} = 6[/tex]

Explanation:

[tex] = \frac{8}{ - 4} \div \frac{ - 3}{9} [/tex]

[tex] = \frac{2}{ - 1} \div \frac{ - 1}{3} [/tex]

[tex] = \frac{2}{ - 1} \times \frac{3}{ - 1} [/tex]

[tex] = \frac{2 \times 3}{ - 1 \times - 1} [/tex]

[tex] = \frac{6}{1} [/tex]

[tex] = 6[/tex]

Answer:

ummm

Step-by-step explanation:

Answer:

29.50

Step-by-step explanation:

Answer:

f(2)=1

f(2) means that 2 is being plugged in for x so look for the y value when x is 2

in this case y is 1 when x is 2

Step-by-step explanation:

Answer:

b:-15

Step-by-step explanation:

There are 9 num in the set sowe add all the num and the we divide the answer we got

Answer:

The answer is:

b) - 15

Hope it helps:D

Answer:

A

Step-by-step explanation:

Step-by-step explanation:

6cm : 48km

=> 1cm : 48km * (1/6) = 1cm : 8km. (C)

Answer:

8 km

Step-by-step explanation:

Answer:

answer will be 67

Step-by-step explanation:

f(x) = 61 - x

x = -6

hence we substitute the value of x in f(x)

f(-6) = 61 - (-6)

= 61 + 6

= 67

The value of the function f(x) = 6(1 - x) at x = -6 will be given 42.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The function is given below.

f(x) = 6(1 - x)

The value of the function at x = -6 will be given as,

f(-6) = 6[1 - (-6)]

Simplify the equation, then we have

f(-6) = 6[1 - (-6)]

f(-6) = 6(1 + 6)

f(-6) = 6 × 7

f(-6) = 42

The value of the function f(x) = 6(1 - x) at x = -6 will be given 42.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ2

Answer:

222mm

Step-by-step explanation:

The perimeter of a triangle is the sum of all of the sides. This triangle is equilateral, which means that all sides are equal and in this case, each side is 74mm. So to find the perimeter of this triangle add each, 74+74+74, which equals 222. Therefore, the answer must be 222mm.

Answer:

the answer is 222 mm.

hope it works

Answer:

S(w)=120+4w

Step-by-step explanation:

The function has a base constant of 120 songs. Then for each week, 4 songs are added. On week 1, w=1, and thus it is 120+1(4). On week 2, w=2, and thus it is 120+2(4).

Answer:

4.1

Step-by-step explanation:

√17= 4.12310562561

the nearest tenth is 4.1

Answer:

4.1

Step-by-step explanation:

√17

4.1 (to nearest tenth)

Answer: A. -3/4x - 3

Answer:

$652.50

Step-by-step explanation:

1740*0.375=652.5

Answer:

Area = 1/2 (a + b )h

area = 1/2 ( 22.2 + 8.52 ) 9.86

area = 1/2 ( 30.72) 9.86

area = 1 x 30.72 x 9.86 ÷ 2

area = 151. 4496cm²

Answer:

The area of the trapezoid is 151.45cm sq