What is the approximate value of √8?

Step-by-step explanation:

hope you can understand

Solution 1 :-

>> -3 (3 - x) = 2x + 5

>> -3 × (3 - x) = 2x + 5

>> -9 + 3x = 2x + 5

>> 3x - 2x = 9 + 5

>> x = 14

Solution 2 :-

>> -6 - 9p = 3p

>> -9p - 3p = 6

>> -12p = 6

>> p = -1/2

Solution 3 :-

>> -5 (-4 - a) = 3a + 8

>> -5 × (-4 - a) = 3a + 8

>> 20 + 5a = 3a + 8

>> 5a - 3a = 8 - 20

>> 2a = -12

>> a = -12 / 2

>> a = -6

Solution 4 :-

>> s - 6 = -5s

>> s + 5s = 6

>> 6s = 6

>> s = 6 / 6

>> s = 1

Answer:

1) x = 14

2) p = - \(\frac{1}{2}\)  (- 1/2)

3) a = -6

4) s = 1

work shown in image :)

hope this helps!!

To solve for x, we just need to compute the inverse of A (if it exists) and multiply it by b. If A is invertible, then this method will give us the unique solution to the linear system Ax=b.

To solve a linear system of the form Ax=b using inverse matrices, we can first find the inverse of matrix A (if it exists) and then multiply both sides of the equation by \(A^-1\), giving us:

\(A^-1Ax = A^-1b\)

Since\(A^-1A\) is the identity matrix I, we can simplify the left-hand side to just x:

\(x = A^-1b\)

However, it's worth noting that computing the inverse of a matrix can be computationally expensive, particularly for large matrices.

So, while using inverse matrices can be a useful technique for solving small systems, it may not be the most efficient approach for larger systems. In those cases, other techniques such as Gaussian elimination or LU decomposition may be more appropriate.

To know more about linear system refer to-

https://brainly.com/question/27664510

#SPJ11

Answer:

4x + 28

3x - 30

24x + 30

14x - 7y

Step-by-step explanation:

Use M a t h w a y to solve

Answer:

20 sec

Step-by-step explanation:

the average adult male can run 100 m in 18 seconds, you could reasonably assume 20 seconds is a fair answer

Answer:

8 and 1 third.

Step-by-step explanation:

The amount of time that has passed is approximately 19.8 years.

We can use the given equation to find t:

\(y = ae^(kt)\)

Substituting the given values:

50 = \(100e^(-0.035t)\)

Dividing both sides by 100:

0.5 = \(e^(-0.035t)\)

Taking the natural logarithm of both sides:

ln(0.5) = -0.035t

Dividing both sides by -0.035:

t = ln(0.5) / (-0.035)

Using a calculator to evaluate:

t ≈ 19.8

Therefore, the amount of time that has passed is approximately 19.8 years.

Learn more about natural logarithm

https://brainly.com/question/30085872

#SPJ4

The correct answer is option c) infinitely many solutions..

To solve the system of equations using the substitution method, we'll substitute the value of y from the second equation into the first equation and solve for x.

Given:

-6x + 2y = 8 ---(1)

y = 3x + 4 ---(2)

Substitute equation (2) into equation (1):

-6x + 2(3x + 4) = 8

Simplify:

-6x + 6x + 8 = 8

8 = 8

We obtained a true statement (8 = 8), which means the two equations are equivalent. This solution shows that the system has infinitely many solutions.

Therefore, the correct answer is option c) infinitely many solutions..

know more about substitution method

https://brainly.com/question/22340165

#SPJ11

Answer:

£288

Step-by-step explanation:

Kathy bought a TV for the cost of 360 pounds, including VAT (taxes).

Since the taxes are 20% of the TV's value, we can calculate 20% of 360.

20% of 360 = 72

360 - 72 = 288

Therefore, the cost of the TV before taxes was £288.

Therefore, the probability that Smith wins 8 dollars before losing all of his money is approximately 0.0479.

To solve this problem, we can use a probability tree diagram to visualize the different possible outcomes.

At each stage, Smith either wins a dollars or loses a dollars, until he either reaches 8 dollars (and wins) or 0 dollars (and loses). We can calculate the probability of each outcome by multiplying the probabilities of the branches leading to that outcome.

Starting with 3 dollars, there are two possible outcomes:

Smith wins a dollar with probability 0.4, leaving him with 4 dollars.

Smith loses a dollar with probability 0.6, leaving him with 2 dollars.

From 4 dollars, there are three possible outcomes:

Smith wins a dollar with probability 0.4, leaving him with 5 dollars.

Smith loses a dollar with probability 0.6, leaving him with 3 dollars.

Smith wins 4 dollars with probability 0.4 * 0.4 = 0.16, leaving him with 7 dollars.

From 5 dollars, there are two possible outcomes:

Smith wins a dollar with probability 0.4, leaving him with 6 dollars.

Smith wins 3 dollars with probability 0.4 * 0.4 = 0.16, leaving him with 8 dollars.

From 6 dollars, there are two possible outcomes:

Smith wins 2 dollars with probability 0.4 * 0.4 = 0.16, leaving him with 8 dollars.

Smith loses a dollar with probability 0.6, leaving him with 5 dollars.

From 7 dollars, there is one possible outcome:

Smith wins 1 dollar with probability 0.4, leaving him with 8 dollars.

Therefore, the probability that Smith wins 8 dollars before losing all of his money is the sum of the probabilities of the outcomes that lead to winning 8 dollars, which is:

0.4 * 0.6 * 0.4 * 0.4 + 0.4 * 0.6 * 0.4 * 0.6 * 0.4 + 0.4 * 0.6 * 0.4 * 0.4 * 0.6 * 0.16 + 0.4 * 0.6 * 0.4 * 0.4 * 0.4 * 0.4 * 0.16 = 0.047872

To know more about probability,

https://brainly.com/question/13690215

#SPJ11

Number of each type of cards after solving system of equations for given situation of Pedro cards are 29 and68.

Interpretation is Pedro collected 29 football cards and 68 baseball cards.

As given,

Total number of cards=97

Let y=football cards

    x=baseball cards

System of equations are

x + y=97  __(1)

x=y +39    __(2)

Substitute (2) in (1)

y+ 39 +y=97

⇒2y=58

⇒y=29

Substitute y=29 in (2),

x=29 +39

 =68

Therefore, number of each type of cards after solving system of equations are football cards 29 and baseball cards 68.

Interpretation is Pedro collected 29 football cards and 68 baseball cards.

Learn more about system of equations here

brainly.com/question/24065247

#SPJ1

Answer: I think it is 521 inches cubed

Step-by-step explanation:

First, I found the surface area of the shape on the bottom. Then I did the same thing for the shape on the top and added them together. But I noticed there was one side on the top shape that I had to subtract from the total. That is how I got 521. But I'm not sure.

Carolyn made an error in her work because she did not correctly distribute the negative in Step 3.

A system of equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point of the intersection.

You can solve a system of equations by the adding or substitution methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.

The question gives:3x-2y=7 (1)y=x+2The question shows that Carolyn applies the substitution method because she replaces the variable y (equation 2) in equation 1. See the given step 2.

3x – 2y = 7

3x – 2(x + 2) = 7

3x – 2x - 4 = 7 - here it is the mistake. (Carolyn did not correctly distribute the negative).

Read more about solving systems equations here:

brainly.com/question/12691830

#SPJ1

The sampling distribution of the sample mean for samples of size 400 has a mean of 18 and a standard deviation of 0.25.

To find the sampling distribution of the sample mean, we need to calculate the mean and standard deviation of the sample mean for samples of size 400.

The mean of the sample mean is equal to the mean of the population, which is given as 18.

The standard deviation of the sample mean is equal to the standard deviation of the population divided by the square root of the sample size. Therefore, the standard deviation of the sample mean can be calculated as:

standard deviation of the sample mean = standard deviation of the population / sqrt(sample size)

\(= 5 / \sqrt{(400)}\)

= 5 / 20

= 0.25

So the sampling distribution of the sample mean for samples of size 400 has a mean of 18 and a standard deviation of 0.25.

for such more question on sampling distribution

https://brainly.com/question/14298138

#SPJ11

Answer: Food surpluses led to population growth.

Step-by-step explanation:

Food surpluses led to population growth.

Answer: 24

Step-by-step explanation:

The formula for the area of a triangle is (base × height) ÷ 2

Plug in the numbers and we have (12 × 4) ÷ 2

Simplify the equation and we have 48 ÷ 2

Which is 24

Have a good day :)

Answer: It gets ticked off!!

a)There are \(2^m^n\) possible relation

b)Similarly \(n^m\)

c)\(\frac{n^m}{2^m^n}\)

a)Set A has m elements and set B has n elements

Firstly determine the number of elements A*B by using the multiplication rule

Number of elements\(=A*B=m*n=mn\)

For each element, \(A*B\) we have two option

First element 2 ways

Second element 2 ways

mn element 2 ways

By using the multiplication rule

\(2*2*2......=2^m^n }\)

Then there are \(2^m^n\) possible relation

b)Similarly \(n^m\)

c)\(\frac{n^m}{2^m^n}\)

Learn more about relation from

https://brainly.com/question/15395662

#SPJ4

Answer:

\(x = \bf -7\)

Step-by-step explanation:

\(\frac{3}{4} (x + 21) = 10\frac{1}{2}\)

• Divide both sides by \(\frac{3}{4}\) :

⇒ \(x + 21 = 10\frac{1}{2} \space\ \div \frac{3}{4}\)

⇒  \(x + 21 = 10\frac{1}{2} \space\ \times \frac{4}{3}\)

⇒ \(x + 21 = 14\)

• Subtract 21 from both sides:

⇒ \(x = 14 -21\)

⇒  \(\boxed {x = \bf -7}\)

Polynomials are  closed under the operations of addition, subtraction, and multiplication, polynomials constitute a system similar to that of integers.

Polynomial exponents are whole numbers.

The fact that addition is closed for the whole numbers ensures that the resultant exponents will also be whole numbers. Polynomials are hence closed under addition.

Polynomials will be closed under an operation if the operation produces another polynomial.

If we subtract 2 polynomials, the result is a polynomial. Therefore, they are also closed under subtraction.

Polynomials are an algebraic equation that has more than two terms, particularly the accumulation of numerous phrases that each include a different power of the same variable (s).

To learn more about polynomials and closure property

https://brainly.com/question/27287760

#SPJ4

Answer:

Amount left in bag one = 20kg

Amount left in bag 2 = 40 kg

Step-by-step explanation:

We are told that Two bags had 50 kilograms of sugar each.

Let first bag be x and second bag be y.

Now, we are told that After taking out 3 times as much sugar from bag one than bag two, bag one had half as much sugar left as bag two.

Thus, amount taken from bag one is;

3a and amount taken from bag two is a.

Amount left in bag 1 is;

50 - 3a while amount left in bag 2 is 50 - a.

Since bag one had half as much sugar left as bag two, then;

50 - 3a = ½(50 - a)

50 - 3a = 25 - 0.5a

50 - 25 = 3a - 0.5a

25 = 2.5a

a = 25/2.5

a = 10

Thus;

Amount left in bag 1 = 50 - 3a = 50 - 3(10) = 50 - 30 = 20 kg.

Amount left in bag 2 = 50 - a = 50 - 10 = 40 kg

The equation representing the minimum and maximum number of fishes which would fit into the tank is : 5 ≤ x ≤ 9

From the table given ;

To represent the maximum and minimum number of fish that will fit into the tank;

We could use an inequality expression to represent these range :

Let x represent the Number of fishes that would fit into the tank :

Therefore, the equation can be written thus :

Learn more : https://brainly.com/question/24566347

Answer:

10

Step-by-step explanation:

\(\frac{2}{3} /\frac{1}{15} =\\ \frac{2}{3} *\frac{15}{1} =\\ \frac{30}{3} = \\ 10\)

Answer:

\( \frac{19}{4} \)

Step-by-step explanation:

\( \frac{5 + 4 + 6 + 6 + 5 + 5 + 4 + 3}{8} \)

=38/8

=19/4

answer

5+4+6+6+5+5+4+3/8 = 38÷8 19/4 = 35.375

Answer:

37c

Step-by-step explanation:

6c+(7c+7c)+8c+9c

6c+14c+(8c+9c)

6c+(14c+17c)

6c+31c

37c

130 tickets would be needed to sold to make $910 money.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

slope= 280-210/40-30

=70/10

=7

y represents the money made and x represents the tickets

Now let us find the y intercept

70=7(10)+b

b=0

So equation is y=7x

We have to find the  amount that needs to be sold to make $910

910=7x

Divide both sides by 7

x=910/7

x=130 tickets

Hence, 130 tickets would be needed to sold to make $910 money.

To learn more on slope of line click:

https://brainly.com/question/16180119

#SPJ1

The webmail service offered to the general public would be considered a Software as a Service a) SaaS platform.

SaaS is a type of cloud computing where software applications are hosted and delivered by a third-party provider over the internet. In this case, the webmail service provider would host the email application on their servers and users could access it through a web browser or mobile app without having to install any software locally.

SaaS platforms provide a convenient and cost-effective way for businesses and individuals to use software without the need for expensive hardware or IT resources. This makes it an ideal choice for webmail services as it allows users to easily access their email from any device with an internet connection.

For more questions like SaaS click the link below:

https://brainly.com/question/11973901

#SPJ11

The solution to the initial-value problem x(x + 1) dy/dx + xy = 1, y(e) = 1 is y = ln(x + 1) / x.

To solve the given initial-value problem, we can use the method of integrating factors. Rearranging the equation, we have dy/dx + (xy / (x(x + 1))) = 1 / (x(x + 1)).

The integrating factor is given by μ(x) = exp ∫ (xy / (x(x + 1))) dx. Simplifying the integral, we have μ(x) = exp ∫ (1 / (x + 1)) dx = exp(ln(x + 1)) = x + 1.

Multiplying the entire equation by the integrating factor, we obtain (x + 1)dy/dx + xy = (x + 1) / (x(x + 1)).

The left side of the equation can be written as d((x + 1)y)/dx. Integrating both sides with respect to x, we have ∫ d((x + 1)y)/dx dx = ∫ (x + 1) / (x(x + 1)) dx.

Simplifying the right side of the equation, we get ∫ dx / x = ln|x| + C.

Dividing both sides by (x + 1), we have (x + 1)y = ln|x| + C.

Finally, solving for y, we find y = (ln|x| + C) / (x + 1). Using the initial condition y(e) = 1, we can substitute x = e and solve for C to obtain the specific solution y = ln(x + 1) / x.

Learn more about initial-value here:

https://brainly.com/question/17613893

#SPJ11

a) Amount financed is, R164,000

b) Total interest over 60 months is, R98,400

c) The farmer would pay a total of R262,400 after 60 months.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The tractor costs R160 000 excluding VAT

And, He can pay a deposit of R20 000.

Here, He decides to buy the tractor on hire purchase over 60 months at a simple interest rate of 10 %

Hence, We get;

Total price with VAT = R160,000 + 15% of R160,000

                               = R184,000

Hence, We get;

Amount financed = Total price - Deposit

                           = R184,000 - R20,000

                           = R164,000

Thus, Total interest over 60 months = R164,000 x 10% x 5

                                                        = R98,400

Here, Total payment = Amount financed + Total interest

                                = R164,000 + R98,400

                                = R262,400

Therefore, The farmer would pay a total of R262,400 after 60 months.

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ1