A nature center displayed 224 insects in 7 equal groups. How many insects were in each group

Answer:

The population of moose after 12 years will be 7,692

Step-by-step explanation:

we know that

In this problem we have a exponential function of the form

[tex]y=a(b^x)[/tex]

where

y ----> population of moose

x ----> the time in years

a is the y-intercept or initial value

b is the base of the exponential function

we have

[tex]a=40[/tex] ----> the y-intercept is given in the table (value of y when the value of x is equal to zero)

substitute

[tex]y=40(b^x)[/tex]

Find the value of b

For x=1, y=62

substitute in the equation

[tex]62=40(b^1)\\b=62/40\\b=1.55[/tex]

therefore

[tex]y=40(1.55^x)[/tex]

What will be the population of moose after 12 years?

For x=12 years

substitute in the exponential equation

[tex]y=40(1.55^{12})[/tex]

[tex]y=7,692[/tex]

Answer: 6

Step-by-step explanation: 12/2 because a pair is 2 people and there are 12 people in total.!

The number of different pairs of people who can have conversations at a round table with 12 people is 66. This is calculated using the combination formula C(n, 2).

The student asks about the number of different pairs of people who can have conversations at a round table with 12 people, assuming that everyone can talk to each other. The problem is a combinatorial one and can be solved by using the formula for combinations. The formula for the number of combinations of pairs from a set of n items is [tex]C(n, 2) = \frac{n! }{2! * (n - 2)!}[/tex], where n! (n factorial) is the product of all positive integers up to n, and C denotes the combination.

To find how many different pairs can have conversations, we plug in n = 12 into the combination formula:

[tex]C(12, 2) = \frac{12! }{2! * (12 - 2)!} = \frac{12 * 11}{2 * 1} = 66[/tex]

So, there are 66 different pairs of people that can have conversations at a round table with 12 people.

Answer:

the 6.192# melebulated by 59 and devide it by 597 your answere is 64

Step-by-step explanation:

Answer:

d 8x+12

Step-by-step explanation:

7x+3x+5-2x+7

combine 7x+3x-2x=8x

and 5+7=12

8x+12

Answer:

Step-by-step explanation:

7x+3x-2x=8x

5+7=12

8x+12

Answer:

2.736

Step-by-step explanation:

5 it more --> round up

4 or less --> leave it how it is

Answer:

i think its 2.74

Step-by-step explanation:

Step-by-step explanation:

[tex]f(x)=3x^2-2x+5\\\\f(-x)=\text{substitute (-x) instead x in f(x)}\\\\f(-x)=3(-x)^2-2(-x)+5=3x^2+2x+5\\\\-f(x)=-(3x^2-2x+5)=-3x^2-(-2x)-5=-3x^2+2x-5\\\\-f(-x)=-(3x^2+2x+5)=-3x^2-2x-5[/tex]

The answers are:

[tex]\begin{aligned}& f(-x)=3 x^2+2 x+5 \\& -f(x)=-3 x^2+2 x-5 \\& -f(-x)=-3 x^2-2 x-5\end{aligned}[/tex]

Let's find f(−x), −f(x), and −f(−x) for the given function [tex]f(x)=3 x^2-2 x+5[/tex].

f(−x):

Replace x with −x in the function:

[tex]f(-x)=3(-x)^2-2(-x)+5[/tex]

Simplify this expression:

[tex]f(-x)=3 x^2+2 x+5[/tex]

−f(x):

Multiply the entire function f(x) by −1:

[tex]-f(x)=-\left(3 x^2-2 x+5\right)[/tex]

Distribute the negative sign:

[tex]-f(x)=-3 x^2+2 x-5[/tex]

−f(−x):

Replace x with −x in the function f(x) and then multiply the whole expression by −1:

[tex]-f(-x)=-\left(3(-x)^2-2(-x)+5\right)[/tex]

Simplify this expression:

[tex]-f(-x)=-\left(3 x^2+2 x+5\right)[/tex]

Distribute the negative sign:

[tex]-f(-x)=-3 x^2-2 x-5[/tex]

Question:

For the function f defined by [tex]f(x)=3 x^2-2 x+5[/tex] find f(−x),−f(x) , and −f(−x).

Answer:

80 is the height of the platform

the rocket didnt launch from the ground so u need to add it in

Answer:

The rocket was launched from a platform 80 feet above the ground.

Step-by-step explanation:

The + 80 is where it starts

Answer:

AC = 52.8

Step-by-step explanation:

33/20 = 1.65

12*1.65 = 19.8

BA = 19.8

CB + BA = AC

33 + 19.8 = 52.8

Answer:

AC = 52.8

Step-by-step explanation:

Since BE is parallel to CD and intersects the 2 sides of the triangle then it divides those sides proportionally, that is

[tex]\frac{BC}{AB}[/tex] = [tex]\frac{DE}{AE}[/tex], substituting values

[tex]\frac{33}{AB }[/tex] = [tex]\frac{20}{12}[/tex] ( cross-  multiply )

20AB = 396 ( divide both sides by 20 )

AB = 19.8

Thus

AC = AB + BC = 19.8 + 33 = 52.8

Answer:

Step-by-step explanation:

10 and 6/10 = 10.6

4 hundredths = 4/100 =  0.04

10.6 / 0.04 = 265 <==

Answer:um where is the constant

Step-by-step explanation:

The expression 'x + 9/2' involves adding a variable 'x' to the fraction 9/2. In an example situation, if you substitute x with the number 5, the result would be 9.5. Remember, x can represent any number.

The expression you provided is x + 9/2. In mathematics, this is an algebraic expression which comprises of a variable x and a fraction 9/2. It means that you're adding the x variable to the fraction 9/2. For example, if you were to substitute x with a number, let's say 5, the answer would then be 5 + 9/2 = 9.5. It's important to remember that variables can represent any number, and in this case, the variable is x.

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There are approximately 745 pages in main story

Solution:

Let "x" be the number of pages in main story

Let "y" be the number of pages in prologue

Given that there are 750 pages in all

Therefore,

number of pages in main story + number of pages in prologue = 750

x + y = 750 ---------- eqn 1

The main story has 150 times as many pages as the prologue

Therefore, a equation is framed as:

number of pages in main story = 150(number of pages in prologue)

x = 150y ----------- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 2 in eqn 1

150y + y = 750

151y = 750

y = 4.967

Substitute y = 4.967 in eqn 2

x = 150(4.967)

x = 745.05

Thus there are approximately 745 pages in main story

Answer:

(20 + n)¢

Step-by-step explanation:

With Company X, it costs 35¢ to connect  and then 5¢ for each minute.

So, for n minutes of calling the company X charges, C(x) = (35 + 5n)¢

Again,  With Company Y,  it costs 15¢ to connect and then 4¢ for each  minute.

So, for n minutes of calling the company Y charges, C(y) = (15 + 4n)¢.

Therefore, the company Y charges for n minutes of calling less than company X is [(35 + 5n) - (15 + 4n)]¢ = (20 + n)¢ (Answer)

To find how much more Company X charges than Company Y for n minutes, subtract the cost of Company Y from the cost of Company X. The expression to represent the difference in charges is 0.2 + 0.01n.

To find how much more Company X charges than Company Y, we need to subtract the cost of Company Y from the cost of Company X for n minutes.

Let's denote the cost of Company X as CX and the cost of Company Y as CY.

For Company X, the cost is $0.35 to connect and $0.05 for each minute. So, the cost of CX for n minutes is given by CX = 0.35 + 0.05n.

Similarly, for Company Y, the cost is $0.15 to connect and $0.04 for each minute. So, the cost of CY for n minutes is given by CY = 0.15 + 0.04n.

To find the difference in charges, we subtract CY from CX:

Company X charges (CX - CY) = (0.35 + 0.05n) - (0.15 + 0.04n) = 0.2 + 0.01n

Answer:

  36 ft

Step-by-step explanation:

Let L represent the length of Louis's basement. The area is the product of length and width, so is ...

  A = L(L/3)

  432 = L²/3 . . . . . fill in area value

  1296 = L² . . . . . . multiply by 3

  36 = L . . . . . . . . . take the square root

The length of Louis's basement is 36 feet.

Answer: 4z (to the 2 power) - 13z + 3

Step-by-step explanation:

Answer:

3.229 revolutions per minute

Step-by-step explanation:

The angular velocity of an object is the rate at which it rotates around a fixed axis. In this case, the hamster wheel is rotating.

To find the angular velocity of the wheel, we need to convert the linear velocity of the hamster into angular velocity.

The linear velocity of the hamster is given as 17 centimeters per second. This means that for every second, the hamster moves 17 centimeters along the circumference of the wheel.

To find the angular velocity, we need to find the distance traveled along the circumference of the wheel in one revolution. The circumference of a circle is given by the formula C = 2πr, where r is the radius of the wheel.

In this case, the radius of the wheel is 10 centimeters. So, the circumference of the wheel is C = 2π(10) = 20π centimeters.

Since the hamster runs at a speed of 17 centimeters per second, in one revolution of the wheel, it covers a distance of 20π centimeters.

Now, we can find the angular velocity by dividing the linear velocity by the distance traveled in one revolution.

Angular velocity = linear velocity / distance traveled in one revolution

Angular velocity = 17 centimeters per second / (20π centimeters per revolution)

Simplifying the expression, we get:

Angular velocity = 17 / (20π) revolutions per second

To convert the angular velocity from revolutions per second to revolutions per minute, we need to multiply it by 60 (since there are 60 seconds in a minute).

Angular velocity in revolutions per minute = (17 / (20π)) * 60

Calculating the value, we get:

Angular velocity in revolutions per minute ≈ 3.229 revolutions per minute

Therefore, the wheel will s

AI-generated answer

The angular velocity of an object is the rate at which it rotates around a fixed axis. In this case, the hamster wheel is rotating.

To find the angular velocity of the wheel, we need to convert the linear velocity of the hamster into angular velocity.

The linear velocity of the hamster is given as 17 centimeters per second. This means that for every second, the hamster moves 17 centimeters along the circumference of the wheel.

To find the angular velocity, we need to find the distance traveled along the circumference of the wheel in one revolution. The circumference of a circle is given by the formula C = 2πr, where r is the radius of the wheel.

In this case, the radius of the wheel is 10 centimeters. So, the circumference of the wheel is C = 2π(10) = 20π centimeters.

Since the hamster runs at a speed of 17 centimeters per second, in one revolution of the wheel, it covers a distance of 20π centimeters.

Now, we can find the angular velocity by dividing the linear velocity by the distance traveled in one revolution.

Angular velocity = linear velocity / distance traveled in one revolution

Angular velocity = 17 centimeters per second / (20π centimeters per revolution)

Simplifying the expression, we get:

Angular velocity = 17 / (20π) revolutions per second

To convert the angular velocity from revolutions per second to revolutions per minute, we need to multiply it by 60 (since there are 60 seconds in a minute).

Angular velocity in revolutions per minute = (17 / (20π)) * 60

Calculating the value, we get:

Angular velocity in revolutions per minute ≈ 3.229 revolutions per minute

Therefore, the wheel will spin at a rate of approximately 3.229 revolutions per minute.

Answer:

[tex] - 10 \div 9 = \frac{ - 10}{9} [/tex]

[tex]10 \div ( - 9) = \frac{10}{ - 9} [/tex]

[tex] - ( - 10 \div ( - 9)) = - (10 \div 9) = - \frac{10}{9} [/tex]

[tex] - \frac{10}{9} = \frac{10}{ - 9} = - \frac{10}{9} [/tex]

A and B are the correct choices.

Answer:

B

Step-by-step explanation:

2x-5y=13.........(1) × 3

-3x+2y=13.......(2) × 2

6x - 15y = 39

-6x + 4y = 26

Adding

6x - 6x - 15y + 4y = 13 + 13

Answer:

Step-by-step explanation:

2x - 5y = 13

-3x + 2y = 13

multiply the top equation by 3 and the bottom one by 2, then add <==

watch...

2x - 5y = 13.....multiply by 3

-3x + 2y = 13....multiply by 2

-----------------

6x - 15y = 39 (result of multiplying by 3)

-6x + 4y = 26 (result of multiplying by 2)

-----------------add

- 11y = 65.....notice how out x terms were eliminated :)

Because there are parentheses we distribute the negative signs:

3 - 20i + (-14) - 6i + (-8) + 2i

Next combine like terms:

3 + (-14) + (-8) and -20i - 6i + 2i

-19 -24i

Answer:

378

Step-by-step explanation:

First: Start with the parentheses

Meaning to add 27 + 36 then divide by 3.

Second: You should have 21 afterwards,

when you have this number you can use the number

outside of the parentheses a.k.a (21 x 18)

Third: You should get the answer "378" unless you do something wrong.

To calculate the expression 18•(27+26/3), follow the order of operations: division, addition, and then multiplication. The result is approximately 642.006.

To calculate the expression 18•(27+26/3), we need to follow the order of operations. First, we perform the division 26/3 which gives us 8.66666... (rounded to the nearest thousandth, this is 8.667). Next, we add 27 and 8.667 which equals 35.667. Finally, we multiply 18 by 35.667 to get the final result of 642.006 (rounded to the nearest thousandth, this is 642.006).

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Answer:

central

Step-by-step explanation:

greetings the correct answer is central odyssey ware

We can model the statement "one-third the sum of eleven and [p]" as y = (1/3)(11 + p)

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have one-third the sum of eleven and [p].

We can model the given question as -

y = (1/3)(11 + p)

Therefore, we can model the statement "one-third the sum of eleven and [p]" as y = (1/3)(11 + p)

To solve more questions on Equation Modelling, visit the link below -

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Answer:

∴ ∠BAD = [tex]sin^{-1}[/tex](0.2044) = 11.8°

Step-by-step explanation:

i) AD = 9 cm

ii) DC = 3 cm

iii) ∠BCD = 35°

iv) Since AB is parallel to DC and ∠ABD = 90°  then we can conclude that ∠BDC = 90°.

v) [tex]\frac{BD}{DC} = \frac{BD}{3\hspace{0.1cm}cm} = tan(35)[/tex] = 0.6128      ∴ BD  = 3 [tex]\times[/tex] 0.6128 = 1.84 cm

vi) ∴ sin(∠ BAD ) = [tex]\frac{BD}{AD}[/tex]      ⇒     sin(∠ BAD ) = [tex]\frac{1.84}{9}[/tex] = 0.2044

     ∴ ∠BAD = [tex]sin^{-1}[/tex](0.2044) = 11.8°

Answer:

Step-by-step explanation:

Explanation: Calculation of the general sales taxes of Connecticut State for 2019 ... combined rates mentioned above are the results of Connecticut state rate (6.35%). There is no county sale tax for Connecticut. There is no city sale tax for the Connecticut cities. ... The Connecticut's tax rate may change depending of the type of purchase.

Answer:

0.84+1.00=1.84 +14=15.

Answer:

Hence (3, -3)   is  on the given line y = -2x + 3

Step-by-step explanation:

For a point on the Line, It must Satisfy the Equation of a line

Therefore for

[tex]y=-2x+3[/tex]

For (-2,-1)

Substitute x = - 2 and y = -1 in above equation

Left Hand Side = y

                         = -1

Right Hand Side = -2 × (-2) +3

                           = 4 +3

                           = 7

Left Hand Side ≠ Right Hand Side

Not Satisfied

Hence (-2,-1)  is NOT on the given line

For (3, -3)

Substitute x = 3 and y = -3 in above equation

Left Hand Side = y

                         = -3

Right Hand Side = -2 × (3) +3

                           = -6 +3

                           = -3

Left Hand Side = Right Hand Side

Satisfied

Hence (3, -3)   is  on the given line y = -2x + 3

For (3, 3)

Substitute x = 3 and y = 3 in above equation

Left Hand Side = y

                         = 3

Right Hand Side = -2 × (3) +3

                           = -6 +3

                           = -3

Left Hand Side ≠ Right Hand Side

Not Satisfied

Hence (3,3)  is NOT on the given line

For (-3,-9)

Substitute x = -3 and y = -9 in above equation

Left Hand Side = y

                         = -9

Right Hand Side = -2 × (-3) +3

                           = 6 +3

                           = 9

Left Hand Side ≠ Right Hand Side

Not Satisfied

Hence (-3,-9)  is NOT on the given line

Only the point (3, -3) lies on the line y = -2x + 3. None of the other points satisfy the equation.

To determine which point lies on the line y = -2x + 3, we need to substitute the coordinates of each point into the equation:

(-2, -1): Substitute x = -2 into y = -2x + 3:

y = -2(-2) + 3 = 4 + 3 = 7. Since y = -1, this point does not lie on the line.

(3, -3): Substitute x = 3 into y = -2x + 3:

y = -2(3) + 3 = -6 + 3 = -3. Since y = -3, this point lies on the line.

(3, 3): Substitute x = 3 into y = -2x + 3:

y = -2(3) + 3 = -6 + 3 = -3. Since y = 3, this point does not lie on the line.

(-3, -9): Substitute x = -3 into y = -2x + 3:

y = -2(-3) + 3 = 6 + 3 = 9. Since y = -9, this point does not lie on the line.

The only point that satisfies the equation is (3, -3).

Complete question:

Which point is on the line y = -2x + 3?

A. (-2,-1)

B. (3, -3)

C. (3, 3)

D. (-3,-9)

SEE IMAGE FOR A, B, C, D REFERENCE

A- 3

B- 3

C- 6

D- 3x+6

On the board you should have 6 of the orange + tiles and 3 of the orange x tiles.

Answer:

[tex]\sqrt[3]{0.000004913}=0.017[/tex]

Step-by-step explanation:

Cubic Root

The cubic root of a number N is M, if

[tex]M^3=N[/tex]

It's usually tedious to manually compute cubic roots, but if we use some basic algebra concepts, the job is easily done.

Let's compute

[tex]M=\sqrt[3]{0.000004913}[/tex]

The argument can be expressed in scientific notation as

[tex]0.000004913= 4913\ 10^{-9}[/tex]

The power of 10 has an exact cubic root since the exponent is a multiple of 3. To find the cubic root of the mantissa, we note it's the triple product of 17, i.e.

[tex]4913=17*17*17=17^3[/tex]

Thus our number is

[tex]M=\sqrt[3]{17^3\ 10^{-9}}=17\ 10^{-3}=0.017[/tex]

We have then

[tex]\boxed{\sqrt[3]{0.000004913}=0.017}[/tex]

Answer:

[tex]\sqrt{10}[/tex]

Step-by-step explanation:

Since this is a right triangle then we can apply the Pythagorean theorem

look at the photo below for the details.

:)

The square root of 25/35, which simplifies down to the square root of 5/7 is an irrational number because the decimal form of the square root doesn't terminate or repeat.

The question is asking about the nature of the square root of the fraction 25/35. To solve it, we first simplify the fraction to its lowest terms, which is 5/7. The square root of 5/7 is a decimal that doesn't terminate or repeat, which means that it is an irrational number. In contrast, 25/35 rational refers to numbers that can be expressed as a ratio of two integers, which the square root of 5/7 cannot be.

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Answer:

14

Step-by-step explanation:

23 - 9 = 14

Answer:

14

Step-by-step explanation:

23-9=14