(2x+3)^2-3(x-1)(x + 2)​

Answer:

-1

Step-by-step explanation:

The 3 in the domain points to the -1 in the range

So, approximately 7.71 grams of radium will be present after 100 years.

To calculate the remaining amount of radium after 100 years, we will use the half-life formula:
Remaining Amount = Initial Amount * (1/2)^(time passed / half-life)
Here, the initial amount is 8 grams, the half-life is 1690 years, and the time passed is 100 years.
Step 1: Plug in the values
Remaining Amount = 8 * (1/2)^(100 / 1690)
Step 2: Calculate the exponent
Exponent = 100 / 1690 ≈ 0.05917
Step 3: Calculate the base raised to the exponent
(1/2)^0.05917 ≈ 0.9634
Step 4: Multiply the initial amount by the base raised to the exponent
Remaining Amount = 8 * 0.9634 ≈ 7.7072
So, approximately 7.71 grams of radium will be present after 100 years.
To know more about radium visit:

https://brainly.com/question/19471276

#SPJ11

In this equation we can't complete the square (cause there's no linear term) but we can solve it, so let's do that:

Therefore x=4 or x=-4.

An airplane flying at a constant speed of 600 miles per hour, will travel 1350 miles in 135 minutes.

The average speed of any object is the ratio of the total distance the object travels, and the total time taken by the object to cover that distance.

Thus, Average speed = Total Distance/Time taken.

In the question, we are asked the distance traveled by airplane in 135 minutes at the constant speed of 600 miles per hour.

First, we need to convert the time from minutes to hours as our speed is given in miles per hour.

To convert minutes to hours, we divide it by 60.

Thus, the time = 135/60 hours = 2.25 hours.

Now, we substitute the speed = 600 miles per hour, and time = 2.25 hours in the formula:

Average speed = Total Distance/Time taken

or, 600 = Distance/2.25,

or, Distance = 600*2.25 miles,

or, Distance = 1350 miles.

Thus, an airplane flying at a constant speed of 600 miles per hour, will travel 1350 miles in 135 minutes.

The question is incomplete. The complete question is:

"An airplane flies with a constant speed of 600 miles per hour. How far can it travel in 135 minutes".

Learn more about the average speed at

https://brainly.com/question/4931057

#SPJ4

Answer:

We know,

Distance,d = speed × time

d = 600 × 2.25

d = 1350km

Hence, the airplane can travel 1350km in 135 minutes with a speed of 600 miles.

Answer:

6/11

Step-by-step explanation: If not this try 12/22

This is because 11 is the denominator and both 5 and 6 are numerators. If you were to ask for what the fraction of remaining pie would be cherry, then you would say 5/11

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies a=\sqrt{c^2 - o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{37}\\ a=\stackrel{adjacent}{x}\\ o=\stackrel{opposite}{35} \end{cases} \\\\\\ x=\sqrt{ 37^2 - 35^2}\implies x=\sqrt{ 1369 - 1225 } \implies x=\sqrt{ 144 }\implies x=12\)

Absolute increase in population will be 2050

And percentage increase will be 56.94 %

We have given population in 2005 is 3600

And population in 2011 is 5650

So absolute increase in population = 5650-3600 = 2050

We have to find the percentage increase in population

So relative percentage increase in population will be 2050/3600 *100 = 56.94  %

So population will increase by 60 %

learn more about of population here

https://brainly.com/question/14348251

#SPJ4

The algebraic expression that represents the number of pieces on the chessboard after n pieces are removed is 32 - n.

The algebraic expression 32 - n represents the number of pieces on the chessboard after n pieces are removed. Since there are initially 32 pieces on the chessboard, subtracting n from that value gives us the remaining number of pieces. As pieces are removed, the total count decreases accordingly.

The expression 32 - n allows us to track the diminishing number of pieces as n increases, representing the changing state of the chessboard throughout the game.

You can learn more about algebraic expression at

https://brainly.com/question/4344214

#SPJ11

Answer:

The mean of the 10 sales amounts for store A is $40,000.

Step-by-step explanation:

Given;

yˆ= −3,000 + 1.2x ...................... (1)

Where;

x = sales amounts each day at store A or the mean of the 10 sales amounts for store A = ?

yˆ = sales amounts each day at store B or the mean of the 10 sales amounts for store B = $45,000

Substituting y = 45,000 into equation (1) and solve for x, we have:

45,000 = −3,000 + 1.2x

45,000 + 3,000 = 1.2x

48,000 = 1.2x

x = 48,000 / 1.2

x = 40,000

Therefore, the mean of the 10 sales amounts for store A is $40,000.

Answer:

10/10

Step-by-step explanation:

pretty good looking pup good snout good fur nice colors overall good pup

Answer:

Graph this points u will get the line.

(0,2) (2/5,0)

Step-by-step explanation:

The intercept of line with x-axis is at (0.4, 0) and with y-axis is at (0, 2).

The collection of all coordinates in the planar of the format [x, f(x)] that make up a variable function's graph.

The equation of the line is given below.

y = – 5x + 2

Put y = 0, then the x-intercept will be

0 = – 5x + 2

x = 2/5

x = 0.4

The x-intercept is (0.4, 0).

Put x = 0, the y-intercept will be

y = – 5(0) + 2

y = 2

The y-intercept is (0.4, 0).

Then the equation of line is drawn below.

More about the graph of the function link is given below.

https://brainly.com/question/9834848

#SPJ2

Answer:

Simple Interest =PRT/100

Step-by-step explanation:

P*R*T/100

Torsion refers to the twisting of a structural member due to the application of torque. Pure torsion occurs when a structural member is subjected to torsional loading only. It is analyzed using assumptions such as linear elasticity, circular cross-sections, and small deformations. The torsion equation relates the applied torque, the polar moment of inertia, and the twist angle of the member. However, this formula has limitations in cases of non-circular cross-sections, material non-linearity, and large deformations.

Torsion is the deformation that occurs in a structural member when torque is applied, causing it to twist. In pure torsion, the member experiences torsional loading without any other external forces or moments acting on it. This idealized scenario allows for simplified analysis and calculations. The assumptions made in pure torsion analysis include linear elasticity, which assumes the material behaves elastically, circular cross-sections, which simplifies the geometry, and small deformations, where the twist angle remains small enough for linear relationships to hold.

To analyze pure torsion, engineers use the torsion equation, also known as the Saint-Venant's torsion equation. This equation relates the applied torque (T), the polar moment of inertia (J), and the twist angle (θ) of the member. The torsion equation is given as T = G * J * (dθ/dr), where G is the shear modulus of elasticity, J is the polar moment of inertia of the cross-section, and (dθ/dr) represents the rate of twist along the length of the member.

However, the torsion equation has its limitations. It assumes circular cross-sections, which may not accurately represent the geometry of some structural members. Non-circular cross-sections require more complex calculations using numerical methods or specialized formulas. Additionally, the torsion equation assumes linear elasticity, disregarding material non-linearity, such as plastic deformation. It also assumes small deformations, neglecting cases where the twist angle becomes significant, requiring the consideration of non-linear relationships. Therefore, in practical applications involving non-circular cross-sections, material non-linearity, or large deformations, more advanced analysis techniques and formulas must be employed.

To learn more about torsion click here: brainly.com/question/30612977

#SPJ11

Answer:

2/5 =w

Step-by-step explanation:

4/w = 10

Multiply each side by w

4/w *w = 10*w

4 = 10w

Divide by 10

4/10 = 10w/10

2/5 =w

Hi there!  

»»————-　★　————-««

I believe your answer is:  

\(w=\frac{2}{5}\)

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(\boxed{\text{Calculating the Answer...}}\\\\\frac{4}{w}=10\\-----------\\\rightarrow (\frac{4}{w})w =10*w\\\\\rightarrow 4 = 10w\\\\\rightarrow 10w=4\\\\\rightarrow\frac{10w=4}{10}\\\\\rightarrow w=\frac{4}{10}\\\\-----------------\\\frac{4}{10}\text{ can be simplified.} \\\\\rightarrow\frac{4}{10}=\frac{4/2}{10/2}=\frac{2}{5}\\-----------------\\\\\rightarrow\boxed{w=\frac{2}{5}}\)

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

There are 10,000,000 (10 million) 7-digit combinations. A 7-digit combination is a combination of 7 different numbers (from 0-9). To calculate the total number of combinations, we can use the formula for combinations

A 7-digit combination is a combination of 7 different numbers (from 0-9). To calculate the total number of combinations, we can use the formula for combinations:

n!/(r!(n-r)!)

where n=10 (the number of possibilities for each digit) and r=7 (the number of digits).

10!/(7!(10-7)!) = 10!/7!3! = 10!/(7!3!) = 10 x 9 x 8 x 7 x 6 x 5 x 4/(7 x 6 x 5 x 3 x 2 x 1 x 3 x 2 x 1) = 10 x 9 x 8 x 7 x 6 x 5 x 4/(7 x 6 x 5 x 3 x 2 x 1) = 10 x 9 x 8 x 7 x 6 x 5 x 4/(7 x 6 x 5) = 10 x 9 x 8 x 7 x 6 x 5/7 = 10 x 9 x 8 x 7 x 6 = 10,000,000 (10 million)

Therefore, there are 10 million 7-digit combinations.A 7-digit combination is a combination of 7 different numbers (from 0-9). To calculate the total number of combinations, we can use the formula for combinations

Learn more about combination here

https://brainly.com/question/28720645

#SPJ4

(d) The value of c needs to be approximately $2,641 to the nearest dollar in order to have $15,000 in the savings account at the end of five years.

To find the required value of c, we can use the formula for the future value of a continuous compound interest account:

\(\[FV = P \cdot e^{r \cdot t}\]\)

where FV is the desired future value, P is the initial deposit (which is zero in this case since the account is initially empty), e is Euler's number approximately equal to 2.71828, r is the interest rate per year, and t is the number of years.

Plugging in the given values, we have:

15,000 = \(\[c \cdot e^{0.05 \cdot 5}\]\).

To solve for c, we divide both sides by \(e^{0.05 \cdot 5}\)  :

15,000 / \(e^{0.05 \cdot 5}\) = c.

Evaluating the left side, we find approximately 2,641.

Therefore, c needs to be approximately $2,641 to the nearest dollar. Thus, the correct answer is (d) $2,641.

To know more about interest, refer here:

https://brainly.com/question/26457073#

#SPJ4

Using the arrangements formula, it is found that 907,200 arrangements can be formed using the letters in the word FORGETTING.

The number of possible arrangements of n elements is given by the factorial of n, that is:

\(A_n = n!\)

When there are repeating elements, with the number of times given by \(n_1, n_2, \cdots, n_n\), the number of arrangements is given by:

\(A_n^{n_1, n_2, \cdots, n_n} = \frac{n!}{n_1!n_2! \cdots n_n!}\)

In this problem, the word FORGETTING has 10 letters, of which G and T repeat twice, hence the number of arrangements is given by:

\(A_{10}^{2,2} = \frac{10!}{2!2!} = 907,200\)

More can be learned about the arrangements formula at https://brainly.com/question/25925367

#SPJ1

Answer:

m<YXW = 36 degrees

Step-by-step explanation:

Hi there, Daniel!

To answer this question, the biggest thing you need to know is the definition of the word 'bisect'. To bisect means to cut into equal parts, which means that m<YXV and m<VXW are the same. This is because the problem states that XV bisects <YXW, which means it cuts it in half.

Since the two angles are the same, their equations must equal the same thing. This makes:

3x = 2x + 6

And then from there you subtract 2x from both sides to get x = 6.

But we're not done yet! This is just the X value, and notice how the angles themselves are '3x' and '2x + 6', not just x. All we have to do is multiply x by 6 (you can also plug it into the 2x + 6 equation just to check that it's correct), which gives us 18.

Now, what does the problem ask? It asks us to find m<YXW. For that, we must multiply what we got for m<YXV (18 degrees) by two, since both angles are the same. After doing that, we get 36 degrees, which is our final answer.

Hope this helped!

Here is my work btw:

Answer:

a = 7

b = 7

c = 14             [Correct option is B. 14]

Step-by-step explanation:

Since the shape is a parallelogram, to solve this problem, use some of the properties of a parallelogram:

(i) Opposite sides are parallel and congruent. Being congruent means the sides are identical. In other words, they have the same length.

From the diagram, this means that sides PQ and SR are identical. i.e

=> PQ = SR

=> 6a + 10 = 8a - 4          [collect like terms and solve]

=> 14 = 2a

=> a = 7

(ii) Opposite angles are congruent. Angles PQR and PSR are identical. i.e

<PQR = <PSR = (9b + 2)°

Also,

<SPQ = <SRQ = (18b - 11)°

(iii) Consecutive angles are supplementary. The sum of any two angles that are not opposite to each other is 180°. i.e.

<SPQ + <PQR = 180°

<PQR + <QRS = 180°

<QRS + <RSP = 180°

.

.

.

Also,

<PSR + <SPQ = 180°      

(9b + 2)° + (18b - 11)° = 180°        [expand bracket and solve for b]

9b  + 2 + 18b - 11 = 180

27b - 9 = 180

27b = 189

b = 7

Now, since a = 7 and b = 7;

c = a + b = 7 + 7 = 14

Therefore;

a = 7

b = 7

c = 14

Answer:

X int = 13/5    Y int= -13

Step-by-step explanation:

Answer:

64 poles

Step-by-step explanation:

Given the question :

Fence posts are erected 5m apart (with a post at each corner) to support fencing round a rectangular field. If the field measures 100m by 60m, how many posts are needed?

Dimension of rectangular field = 100m by 60m

Length = 100m ; breadth = 60m

Since it is erected around the corners of the field, we need to calculate the entire perimeter of the rectangular field.

Perimeter of a rectangle : 2( length + breadth)

Perimeter = 2(100 +60) = 2(160) = 320m

Since the posts are erected 5m apart, the number of post needed will be :

Perimeter / 5

= 320 / 5

= 64 poles

Answer:

3 or -3

Step-by-step explanation:

What number multiplied by itself will give you 9

1*1 =1

2*2 =4

3*3 =9

Also note that negative times negative will be positive so

-1*-1=1

That means -3*-3 = 9

Answer:

3^2 0r (-3)^2

Step-by-step explanation:

let the number be x

x^2=9

x=\(\sqrt{9\)

x=\(\sqrt{3*3\)

x=3

there fore x=plus or minus 3.since it is a sqauring a number if u square (-3)^2 along will the number sign also gets multiplied and (-*-)=+ so u we get positive number.

therefore if u square 3 then u will get 9

.........................

Answer: 54 pounds

Step-by-step explanation:

1. Adressing the variables:

x=number of pounds of type A

y=number of pounds of type B

2. Equations:

x+y=147 pounds

5.15x+4.1y=659.40

3. Subsitution:

y=147-x =>5.15x+4.1(147-x)

4. Solve:

5.15x+602.7-4.1x=659.4

=> 1.05x=56.7 => x=54

5. Solution:

x=54; y=93

Answer:

5  1/4

Step-by-step explanation:

3 3/4  / ( 5/7) =

15/4  / ( 5/7) =

15/4  *  7/5  =

(15*7) / (4*5 )

105 / 20  =  5 1/4

Answer:

5.25

Step-by-step explanation:

Turn mixed number into a improper fraction.

Divide fraction by 20.

It doesn’t matter if 5 1/4, or 21/4 or 5.25., they all equal the same.

Answer:

Step-by-step explanation:

Its rectangular prism trust me I did the quiz

Answer: The form of payment that Courtney can lose and not get back would be cash.

Step-by-step explanation:

The reason why cash couldn't be returned back because it doesn't have a piece of U.S money wouldn't have a specific certified owner that they can be returned to.

Other forms of payment like credit cards, debit cards, and checks have specific bank information with the card holder's name on it so if Courtney actually lost one of those, she would be most likely to receive it back without any complicated  verification process.

Therefore, Courtney would not be able to receive her cash back if she accidentally loses it. Hope this helps you with your Imagine Math homework or assignment!

-From Certified 5th Grade Honors Student

Answer:

slope = - \(\frac{3}{2}\)

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (2, 1 ) and (x₂, y₂ ) = (8, - 8 ) ← 2 ordered pairs from the table

note that any 2 ordered pairs may be used to calculate m

m = \(\frac{-8-1}{8-2}\) = \(\frac{-9}{6}\) = - \(\frac{3}{2}\)

Answer: B = B ∈ {70° + n*360° I n ∈ Z  } where Z is the set of the integer numbers.

Step-by-step explanation:

If we have an angle A, the other angles that have the same terminal arm than A can be written as:

B = A + n*360°

Here B is a "coterminal" angle to A. (they have the same terminal side)

where n can be any integer number (if n = 0 we have A = B, which is trivial, this means that any angle can be coterminal with itself.)

So we can write the set as:

B = B ∈ {70° + n*360° I n ∈ Z  }

The set of angles that has the same terminal arm as 70 degrees is B = B ∈ {70° + n*360°, n ∈ Z}.

We have to determine, which set of angles has the same terminal arm as 70 degrees.

According to the question,

Let, The angle A and other angle B that have the same terminal arm as A can be written as,

B  = A + n × 360°

Where the value of angle A is 70 degrees.

B is the coterminal angle, and they have the same terminal,

And n is the number of integers.

Substitute the value of A in the equation,

B  = 70 + n × 360°

Two angles are coterminal if they are drawn in the standard position and both have their terminal sides in the same location.

Since the value of n is equal to 0 then A = B,

Therefore, The angles coterminal with itself is called trivial.

Hence, The set of angles that has the same terminal arm as 70 degrees is B = B ∈ {70° + n*360°, n ∈ Z}.

To know more about Terminal Arm click the link given below.

https://brainly.com/question/20333574