The number of termites in a nest in any given month can be represented by the
function f(t) = 4(3)^t where t represents the number of months.

The number of ants in a box can be represented by the function represented by the
table:

Months
0-1-2-3-4
Number 20-45-101-228-513

What is the positive difference in the number of termites and the number of ants in
the fourth year?

Answer:

x=2/3

Step-by-step explanation:

Answer:

that's hard

Step-by-step explanation:

Answer:

The probability of turning over E would be 1/5

Step-by-step explanation:

since there are 5 cards and there is an equal chance you could get any one of them, the probability is one (the amount of cards drawn) over five (the amount of cards total.)

Hope this helps :)

Answer:

43 degrees

Step-by-step explanation:

The angles are vertical angles. All vertical angles are congruent meaning that these 2 expressions can be set equal to each other. Then, solve for x and finally plug x back in to get the answer.

(4x+19)=(6x+7)

4x+12=6x

12=2x

x=6

Now, we can plug 6 into the expression given to show that both angles are 43 degrees.

Answer:

$4

Step-by-step explanation:

Because 16*.25 is 4

Answer:

See below.

Step-by-step explanation:

First question:

Think of the x-axis as a mirror. Quadrilateral is above the x-axis. Quadrilateral is below the x-axis. Quadrilateral ABCD was reflected across the x-axis. Quadrilateral A'B'C'D' is a mirror image of quadrilateral ABCD.

Quadrilateral ABCD undergoes a reflection across the x-axis to form quadrilateral A'B'C'D'.

Second question:

Quadrilaterals ABCD and A"B"C"D" are both turned the same way. Quadrilateral A"B"C"D" is just moved left and down from quadrilateral ABCD. That transformation is called a translation.

Quadrilateral ABCD undergoes a translation 7 units left and 1 unit down to form quadrilateral A"B"C"D".

Answer:

(-4, -2)

Step-by-step explanation:

When trying to find a translation left or right, add or subtract the X. Left would be subtraction so, subtract 4 units and this is what you get. (-4, -2)

Answer:

C

Step-by-step explanation:

first of all since the line is solid then we know that the answer is not D or B.

so it has to be either A or C.

now to graph it let's start with A.

you would go up 5 on the y axis and since there isn't enough space go down 4 and to the left 1. the line doesn't match with the one in the picture so A is not the answer.

now let's try with C.

you would go down 5 on the y axis and then go up 4 and to the right 1. the line matches up so C is your answer.

Answer:

Point form:

(4,-1)

x=4,y=-1

Step-by-step explanation:

Graph:

Answer:

x = 4 , y = -1

Step-by-step explanation:

Note that both equations equal y. Set the two equations equal to each other.

x - 5 = y = -x + 3

x - 5 = -x + 3

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other.

First, add x and 5 to both sides of the equations:

x (+x) - 5 (+5) = -x (+x) + 3 (+5)

x + x = 3 + 5

2x = 8

Next, divide 2 from both sides of the equation:

(2x)/2 = (8)/2

x = 8/2

x = 4

Plug in 4 for x in the given equations and solve:

y = x - 5

y = (4) - 5

y = -1

y = -x + 3

y = -(4) + 3

y = -1

x = 4 , y = -1 are your answers.

~

~

Answer:

3744:\p=11756.16 m^2

Step-by-step explanation:

[tex] {12}^{2} \pi(18 + 9) - {4}^{2} \pi \times 9 = 3744\pi \: \: {m}^{2} [/tex]

The auditorium will be full after 80 minutes

The total number of seats in the auditorium is the sum of all the people in the auditorium when it is full

Total number of people in the auditorium = 300

Every 10 minutes,15 people leave and 40 people sit down

Number of people joining the room every 10 minutes = 40 - 15

Number of people joining the room every 10 minutes = 25

The number of people originally in the room = 100

Number of people remaining for the auditorium to get full = 300 - 100

Number of people remaining for the auditorium to get full =  200

Number of times 25 people join the auditorium = 200/25

Number of times 25 people join the auditorium = 8

Since 25 people join every 10 minutes for 8 different times:

Time taken for the auditorium to be full = 10(8)

Time taken for the auditorium to be full = 80 minutes

Therefore, the auditorium will be full after 80 minutes

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Answer:57

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

1/4 of 168 is 42 which is how many Boxes of Candy they sold

42 x 1.50 = 63

Answer:

From the sale of boxes of candy, the team made $63

Explanation:

We know that 3/4 of the sold items were chocolate bars. A fast trick to find 3/4ths, or 75%, of a number is to multiply it by 3 and divide by 4.

168 * 3 = 504

504 ÷ 4 = 126

Now, we do 168 - 126 to find the number of candy boxes.

168 - 126 = 42

So, the soccer team sold 42 boxes of candy. Since each box was $1.50, we just multiply

42 * 1.50 = 63

The soccer team made $63 dollars by selling candy boxes.

Note: This is just my way that I did quickly, there are many many other ways to do this. Try to find what's best for you.

(D) {-4, -1, 0, 1, 4 }

is the correct answer

Answer:

-$50.00

Step-by-step explanation:

Answer: 1/3

Step-by-step explanation: 2/3 - 1/3 = 1/3

Answer:The given information is 24 total chocolates.  You have a 2 to 1 ratio, so 24 ÷ # of milk chocolate = 2 ÷ 1.  

24⁄x = 2⁄1    solve for x, milk chocolate = 12.

milk chocolate (12) + plain chocolate (24)= 36 Total

Hope this helps!

Answer:

x=18

Step-by-step explanation:

the sum of all the angles in a triangle is 180 degrees.

we can use this to get an equation:

5x-6 + 3x+13 + 2x-7 = 180

combine the x's to get:

10x-6-7+13=180

combine the numbers to get:

10x=180

divide both sides by 10 to get your answer:

x=18

Answer:

[tex]10^{4}[/tex]

Step-by-step explanation:

4 x 10^7 is 40000000

4 x 10^3 is 4000

We are told that 4x10^7 is something times as much as 4x10^3

So we will work backwards to find the answer,

If you divide 40000000 by 4000 you will get 10000

10000 is the same as 10^4

Answer:

10^4

Step-by-step explanation:

10^7-3

Hahaha that's all

Answer:

[tex]\sf\longmapsto \: 550[/tex]

Step-by-step explanation:

[tex]\sf\longmapsto \: 50 \times 11[/tex]

[tex]\sf\longmapsto \: 550[/tex]

Answer:

[tex]\sf 550[/tex]

Step-by-step explanation:

[tex]10 \times 5 = 50 \\ [/tex]

[tex]50 \times 11 = 550[/tex]

Answer:

4284in

Step-by-step explanation:

Because 14*18*17 is 4284

Answer:

wrong

Step-by-step explanation:

The division property states that when we have an equation in the form [tex]ax=b[/tex], then [tex]x=b/a[/tex](i.e. we "divide" by [tex]a[/tex] on both sides).

So, Mark was supposed to get [tex]x=9/23[/tex], which is not equal to [tex]6[/tex].

So, Mark solved it [tex]\boxed{wrong}[/tex]

No, Mark solve the equation correctly.

because, Mark was supposed to get x = 27/2 , which is not equal to x= 6.

The division property of equality applicable.

The division property of equality is a property that tells us if we divide one side of an equation by a number, we must also divide the other side by the same number so that our equation stays the same. The formula for this property is if a = b, then a / c = b / c.

We have the following information available from the question is:

The equation is:

[tex]\frac{2}{3}x=9[/tex]

It solved by using the Division Property of Equality and get x = 6

If we solved for x: then,

x = 27/2

No, Mark solve the equation correctly.

So, Mark was supposed to get x = 27/2 , which is not equal to x= 6.

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Answer:

7/4

Step-by-step explanation:

x and y are exchanged for each other, and the sign is flipped.

Answer:

As follows,

Step-by-step explanation:

a) Completely wrong,

Correction

x^2-7x+12

x^2-4x-3x+12

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

(x-3)(x-4)

b)Partially wrong

Correction

35x^2-5x

5x(7x-1)

Answer: im wrong dont give me anything

Answer:

250,000÷100 is equal to 2,500

Answer:

2500 is the answer

hope it helps u

mark as brainlist

Answer:

30mph

Step-by-step explanation:

i forgot how to show the problem....

Answer:

-9

Step-by-step explanation:

domain is the x numbers so -9 is the only one that is under x

I'm pretty sure the answer to y=−x. Write equation for (8,2) is y=x-6. The opposite of the x is -8, hence, (-8,2) is y=-x-6 is the answer

1. The equation of the line which is parallel and goes through the point (-8, 2) is,

y = x + 10

2. The equation of the line which is parallel and goes through the point (8, 2) is,

⇒ y = x - 6

What is Equation of line?

The equation of the line in slope-intercept form is expressed as:

y - y₁ = m(x - x₁)

where: m is the slope.

and (x₁, y₁) is the point on the line.

1. Given that;

Equation of the line as y = -x

Get the slope of the line,

y = -x

m = -1

Since, The required line is parallel to this line,

So, the required slope will be -1

Now, Get the required equation as,

y - y₁ = m(x - x₁)

y - 2 = 1 ( x - (-8) )

y - 2 = x + 8

y = x + 8 + 2

y = x + 10

Hence, The equation of the line which is parallel and goes through the point (-8, 2) is,

⇒ y = x + 10

2.  Given that;

Equation of the line as y = -x

Point as (8, 2)

Get the slope of the line,

y = -x

m = -1

Since, The required line is parallel to this line,

So, the required slope will be -1

Now, Get the required equation as,

y - y₁ = m(x - x₁)

y - 2 = 1 ( x - 8 )

y - 2 = x - 8

y = x - 8 + 2

y = x - 6

Hence, The equation of the line which is parallel and goes through the point (8, 2) is,

⇒ y = x - 6

Thus,

1. The equation of the line which is parallel and goes through the point (-8, 2) is,

y = x + 10

2. The equation of the line which is parallel and goes through the point (8, 2) is,

⇒ y = x - 6

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