what are all the commom factors of 15, 45, & 90? :l

Answer:

x = 2

y = 3

Step-by-step explanation:

if you add the equations together you get:

11x = 22

x = 2

substitute '2 in for x' to get value of 'y':

5(2) - 7y = -11

10 - 7y = -11

-7y = -21

y = 3

Check:

6(2) + 7(3) should equal 33

12 + 21 = 33

33 = 33

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The value of x is 4.

The value of y = 9/7.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

3x + 4 = 4 is an equation.

3x + 4y = 7 is an equation.

We have,

5x - 7y = 11 ______(1)

6x + 7y = 33 _______(2)

We will find the value of x and y.

From (1) we get,

5x - 7y = 11

5x = 11 + 7y

x = (11 + 7y) / 5 ______(3)

Substituting (3) in (2) we get,

6x + 7y = 33

6 [(11 + 7y) / 5] + 7y = 33

66 + 42y + 35y = 165

66 + 77y = 165

77y = 165 - 66

77y = 99

y = 99/77

y = 9/7 ______(4)

Putting (4) in (3) we get,

x = (11 + 7y) / 5

x = (11 + 7 x 9/7) / 5

x = (11 + 9) / 5

x = 20/5

x = 4

Thus,

The value of x is 4.

The value of y = 9/7.

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Answer:

D

Step-by-step explanation:

i did it

Answer:

It is D

Step-by-step explanation:

The way to find the perimeter is to add the side lengths and then simplify by combining like terms.

Answer:

Step-by-step explanation:

slope-intercept form is y=mx+b

m = slope = change in y/change in x

  change in y/change in x = 2/1

  m = 2

b = y intercept = y value when x = 0

  using the slope, go left 2 units and down 4

  when x = 0, y = 0

  b = 0

y = mx+b when m = 2 and b = 0

y = 2x+0

y = 2x

To solve for x at an angle, you must first understand what type of angle you are working with. If the angle is a right angle, you can use the Pythagorean theorem to solve for x. If the angle is an obtuse angle, you can use the law of cosines to solve for x. If the angle is an acute angle, you can use the law of sines to solve for x.

To solve for x at a right angle using the Pythagorean theorem, you must have the lengths of the two neighboring sides of the triangle. The sum of the squares of the two sides is equal to the square of the hypotenuse, according to the Pythagorean theorem. By rearranging the components and solving for x, this equation may be used to find x.

To use the law of cosines to solve for x at an obtuse angle, you must know the lengths of all three sides of the triangle. According to the law of cosines, the square of one side's length equals the sum of the squares of the other 2 sides minus twice the product of the other 2 sides multiplied by the cosine of the obtuse angle. You can use this equation to solve for x by rearranging the terms and solving for x.

To apply the law of sines to solve for x in an acute angle, you should first know the lengths of the triangle's two sides as well as the acute angle's measurement. According to the law of sines, the ratio of one side's length to the sine of the opposite angle equals the ratio of the other side's length to the sine of the acute angle. By rearranging the terms and solving for x, you may use this equation to solve for x.

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Answer:

Step-by-step explanation:

First of all the angles lie on a right angle which means that they are complementary.

Complementary angles are angles that add up to 90°

To find x add up all the angles and equate it to 90° and solve for x

We have

x + 42 + 3x = 90

4x + 42 = 90

Subtract 42 from both sides

4x + 42 - 42 = 90 - 42

4x = 48

Divide both sides by 4

That's

We have the final answer as

Hope this helps you

Answer:

\(f(x)=-x^2 + 11x - 24\)

Step-by-step explanation:

Well for this problem, you want to start off by writing it in factored form.

In factored form, you can represent a quadratic as: \(f(x)=a(x-b)(x-c)\), where x=b, and x=c are zeroes of the function, since plugging them into the function makes one of the factors zero, and multiplying zero by the other factors will just give you zero.

The "a" in front of the two factors generally defines the stretch/compression of the function.

So let's start by plugging in the zeroes into the function, and then we can solve for "a" later: \(f(x) = a(x-3)(x-8)\)

Now let's use one point on the graph, which is not a root/zero to solve for "a". It's important to not use a zero/root since if we use that point the entire thing will be zero regardless of the value of "a"

Luckily we have one point provided that is not a zero and is: (4, 4)

So let's plug it in: \(4=a(4-3)(4-8)\\4=a(1)(-4)\\4=-4a\\a=-1\)

So now let's plug this into the factored form to get: \(f(x)=-(x-3)(x-8)\)

using foil to multiply these two factors you get: -[x^2 -8x - 3x + 24]

Now combine like terms

-[x^2 - 11x + 24]

distribute the negative sign

-x^2 + 11x - 24

\( \large \bf \implies{y = { - x}^{2} + 11x - 24}\)

Let standard form of quadratic equation be

If passes through (3,0) , (8,0) and (4,4)

Answer:

42

Step-by-step explanation:

Hey There!

Angle 3 and Angle 4 are a pair of supplementary angles meaning that added together they will equal 180

So if angle 4 is given to find angle 3 all we have to do is subtract the angle that is given from 180

180-138=42

Therefore angle 3 = 42

Answer:

8,010,005

Step-by-step explanation:

eight million ten thousand and five

hope this helps

The statement "An estimator is consistent if as the sample size decreases, the value of the estimator approaches the value of the parameter estimated" is False.

Consistency is an important property of estimators in statistics. An estimator is consistent if its value approaches the true value of the parameter being estimated as the sample size increases.

In other words, if we repeatedly take samples from the population and compute the estimator, the values we obtain will be close to the true parameter value.

This is an essential characteristic of a good estimator, as it ensures that as more data is collected, the estimation error decreases.

However, as the sample size decreases, the value of the estimator is more likely to deviate from the true value of the parameter. The reason for this is that a small sample size may not be representative of the population, and as a result, the estimation error may increase.

As a consequence, the statement is false. In conclusion, consistency is a property that an estimator possesses when its value converges to the true value of the parameter as the sample size grows.

As the sample size decreases, the estimator may become less reliable, leading to an increase in the estimation error.

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Answer:

Part A

y =($50 - ($23 × 2 + $5)+ $22)

y = $21

Part B

Clay can get his balance to zero by withdrawing or writing another check for $21

Step-by-step explanation:

Last week, Clay had a beginning balance of $50 in his account. He wrote 2 checks for $23 each from his checking account , withdrew another $5, and finally made a deposit of $22.

Part A: Write an expression and your answer to show his final account balance at the end of the week 23 * 2 = 46

Let his final Account Balance = y

y =($50 - ($23 × 2 + $5)+ $22)

y =$72 - $51

y = $21

Part B: Explain in words, what Clay should do to get his account balance to zero?

Clay can get his balance to zero by withdrawing or writing another check for $21

= $21 - $21

= $0

Adult tickets costs $63.8

Children tickets costs $13.2

Let x represent the adult tickets and y to represent the cost of children tickets

x + y= 77..........equation 1

36x + 17y= 2,297........equation 2

From equation 1

x= 77-y

Substitute 77-y for x in equation 2

36(77-y) + 17y = 2297

2772 - 36y= 2297

-36y= 2297-2772

-36y= -475

y= 475/36

y= 13.2

Substitute 13.2 for y in equation 1

x + 13.2 = 77

x= 77-13.2
x= 63.8

Hence adult tickets costs $63.8 and children tickets costs $13.2

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The span of a set of vectors is the set of all possible linear combinations of those vectors. So, if we have vectors v1, v2, …, vm in Rn, then the span of these vectors will be the set of all possible linear combinations of these vectors. This means that any vector in the span can be expressed as a linear combination of v1, v2, …, vm.

Now, to determine whether the span of these vectors is necessarily a subspace of Rn, we need to check the three subspace axioms: closure under addition, closure under scalar multiplication, and contains the zero vector.
Closure under addition: Let u and v be two vectors in span(v1, v2, …, vm). This means that u and v can be expressed as linear combinations of v1, v2, …, vm. Therefore, their sum u + v can also be expressed as a linear combination of v1, v2, …, vm, and so u + v is also in the span. Thus, the span is closed under addition.
Closure under scalar multiplication: Let c be any scalar and let u be any vector in span(v1, v2, …, vm). This means that u can be expressed as a linear combination of v1, v2, …, vm. Therefore, cu can also be expressed as a linear combination of v1, v2, …, vm, and so cu is also in the span. Thus, the span is closed under scalar multiplication.
Contains the zero vector: Since the zero vector can always be expressed as a linear combination of the vectors v1, v2, …, vm (by taking all coefficients to be zero), it follows that the span contains the zero vector.
Therefore, since the span of v1, v2, …, vm satisfies all three subspace axioms, it is necessarily a subspace of Rn.

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SOLUTION

The set {p, q, r, s} is linearly dependent if `a = -31` is found for the given linear combination of functions.

A set of functions is said to be linearly dependent if one or more functions can be expressed as a linear combination of the other functions.

Consider the given functions:

`p(x) = x³x²+2x+3,

q(x) = 3x³ + x²-x-1,

r(x) = x³ + 2x + 2`, and

`s(x) = 7x³ + ax² + 5`.

To show that these functions are linearly dependent, we need to find constants `c₁, c₂, c₃, and c₄`, not all zero, such that

`c₁p(x) + c₂q(x) + c₃r(x) + c₄

s(x) = 0`.

Let `c₁p(x) + c₂q(x) + c₃r(x) + c₄s(x) = 0`... (1)

We can substitute the given functions in this equation and obtain the following:

`c₁(x³x²+2x+3) + c₂(3x³ + x²-x-1) + c₃(x³ + 2x + 2) + c₄(7x³ + ax² + 5) = 0`... (2)

Let's simplify and rearrange the above equation to obtain a cubic equation in terms of `a`.

This is because we need to find the value of `a` for which there are non-zero values of `c₁, c₂, c₃, and c₄` that satisfy this equation.

`(c₁ + c₂ + c₃ + 7c₄)x³ + (c₁ + c₂ + 2c₄)x² + (2c₁ - c₂ + 2c₃ + ac₄)x + (3c₁ - c₂ + 5c₄) = 0`

The coefficients of this cubic equation should be zero for all `x` in the domain.

So, we have:

`c₁ + c₂ + c₃ + 7c₄ = 0` ...(3)

`c₁ + c₂ + 2c₄ = 0` ...(4)

`2c₁ - c₂ + 2c₃ + ac₄ = 0` ...(5)

`3c₁ - c₂ + 5c₄ = 0` ...(6)

Solving equations (3) to (6), we obtain:`

c₁ = -7c₄`

`c₂ = -2c₄`

`c₃ = -13c₄`

`a = -31`

Hence, the set {p, q, r, s} is linearly dependent if `a = -31`.

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Over a period of 8 years, with monthly deposits starting at $50 and increasing by $5 each month, and an annual effective interest rate of 10%, we can calculate the accumulated balance at the end of the 8-year period.

To calculate the accumulated balance at the end of 8 years, we need to consider the monthly deposits, the interest earned, and the compounding effects. The annual effective interest rate of 10% needs to be converted to a monthly interest rate.

First, we can calculate the monthly interest rate by dividing the annual effective interest rate by 12 (since there are 12 months in a year). In this case, the monthly interest rate would be (10% / 12) = 0.00833.

Next, we can calculate the accumulated balance using the formula for the future value of an ordinary annuity:

Accumulated Balance = P * [\((1 + r)^n\) - 1] / r

Where:

P = Monthly deposit amount

r = Monthly interest rate

n = Number of compounding periods (in this case, 8 years * 12 months = 96 months)

Plugging in the values, we have:

P = $50 (initial deposit)

r = 0.00833 (monthly interest rate)

n = 96 (number of compounding periods)

Using the formula, we can calculate the accumulated balance at the end of 8 years.

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Answer:

35 x 14 = 490

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

the angles of a triangle add up to 180°

17x+13x+6x=180

36x = 180

x = 5

Answer: 5

Step-by-step explanation:

To start off, the angles of a triangle add up to 180.

Therefore, you would find he answer by adding all the angles together and making it equal to 180.

13x+17x+6x=180

When you solve the equation, you will get X=5.

To check your work:

13 times 5=65

17 times 5=85

6 times 5=30

65+85+30=180

2,111 is the Santan Flowers she picked.

Step-by-step explanation:

Subtract the total flowers Elly picked which the 3953 flowers to the 1,086 daisy and 756 roses.

Add the 1,086 and 756 the sum of it is 1,842

Subtract the 3,953 to 1,842 and the difference is 2,111.

Answer:

first add 390 to 29 then, divided it to the sequence and there's your answer

Answer:

The numbers are 282,291,300,309,318,327,336,345,354,363,372,381,

Common rhg\(t(29) = 21 + (29 - 1)9\)

\( = 21 + (28)9\)

=21+252

=273

The numbers are 282,291,300,309,318,327,336,345,354,363,372,381

Answer:

y>-2

Step-by-step explanation:

that is the answer

The Probability that the system does not fail for 2 days is 0. 053

Given ,

Mean (u) = 37 hours .

Step  1 : Calculate the rate parameter, λ.

λ = 1/ mean

λ = 1/ 37 = 0.02703

Step 2 : Find the probability that the system does not

fall for two days, P ( x\(\leq\)2 )  

P ( x\(\leq\)2 ) .= 1 - e power (lamda(x))

       = 1 - e - 2(lamda)

        = 1 - e power  -2(0. 02703 )

By solving,

P ( x\(\leq\)2 ) = 0.05263

P ( x\(\leq\)2 ) = 0. 053 [ upto three decimals]

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The value of the constant k when the value of x and y is 7 and 3 respectively in the equation xy=k is 21.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The value of the constant k when the value of x and y is 7 and 3 respectively in the equation xy=k can be written as,

\(xy=k\\\\(7) \times (3 ) =k\\\\k= 21\)

Hence, the value of the constant k when the value of x and y is 7 and 3 respectively in the equation xy=k is 21.

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Answer:

D

Step-by-step explanation:

K=21

since r is so widely used, it is appropriate to calculate r for nonlinear data: False.

The calculation of r (Pearson's correlation coefficient) is based on the assumption that the relationship between the two variables is linear. Therefore, it is not appropriate to calculate r for nonlinear data as it may give misleading results.

In summary, it is not appropriate to calculate r for nonlinear data as it assumes a linear relationship between the variables. Other methods such as Spearman's rank correlation or Kendall's tau may be used for nonlinear data.


n: The correlation coefficient 'r' is specifically designed to measure the strength and direction of a linear relationship between two variables. While it is widely used, calculating 'r' for nonlinear data is not appropriate, as it will not accurately capture the true nature of the relationship between the variables.

When dealing with nonlinear data, it is better to use other statistical methods designed for such data, rather than relying on the correlation coefficient 'r'.

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Answer:

5+9=9+5

Step-by-step explanation:

Because ethier way it will be 14, but idl dont take my word yet...

Answer:

The answer is C

Step-by-step explanation:

21+21=42

The probability that the same proportion will be between 0.915 and 0.946 is 0.0819

The normal distribution is useful for solving problems related to different types of distributions. In some cases, it is necessary to calculate the mean or standard deviation according to the characteristics of the data or the related distribution.

We have p=0.85, q=1-p=0.15

Standard error of the sample proportion

\(\sigma_{\bar{p}} = \sqrt{\dfrac{p(1-p)}{n}} =\sqrt{\dfrac{0.85 \times 0.15}{51}}=0.05\)

We will use the normal distribution with the following data

μ=0.85

σ=0.05

x1=0.9115

x2=0.946

We want to calculate P( 0.9115 < x < 0.946)

\(\text{The z-value for } \, x_1 = 0.9115 \, \text{is} \\ z_1=\dfrac{ 0.9115 - 0.85 }{ 0.05 } = 1.23\)

\(\text{Using a Table of Areas Under the Normal Curve, we have that the probability under} \, z_1= 1.23 \, \text{is} \, 0.8907\)

\(\text{The z-value for } \, x_2 = 0.946 \, \text{is} \\ z_2=\dfrac{ 0.946 - 0.85 }{ 0.05 }= 1.92\)

\(\text{The probability under} \, z_2= 1.92 \, \text{is} \, 0.9726\)

Therefore,

P(0.9115<x<0.946)=P(1.23<z<1.92)

=P(z<1.92)−P(z<1.23)

=0.9726−0.8907

= 0.0819

So, the probability for the same is 0.0819

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Answer:

jrbfbfbfbxbcvdvdgv

Step-by-step explanation:

bvdbdhdhwofftreytugete

Answer:

median = 95

Step-by-step explanation:

the median is indicated by the line inside the box.

each interval on the number line is 5 units.

median = 75 + 4 units = 75 + 20 = 95

Answer:

The answer to Y/X is 4/1

In summary, the first four terms of the sequence defined by the equation an = 2 + 5(n - 1), starting with n = 1, are: a1 = 2, a2 = 7, a3 = 12, a4 = 17

The equation is:
an = 2 + 5(n - 1)
To find the first four terms, we need to plug in n = 1, 2, 3, and 4 into this equation and simplify. Let's start with n = 1:
a1 = 2 + 5(1 - 1)
a1 = 2 + 5(0)
a1 = 2

So the first term of the sequence is 2. Now let's find the second term by plugging in n = 2:
a2 = 2 + 5(2 - 1)
a2 = 2 + 5(1)
a2 = 7

So the second term is 7. Now let's find the third term by plugging in n = 3:
a3 = 2 + 5(3 - 1)
a3 = 2 + 5(2)
a3 = 12

So the third term is 12. Finally, let's find the fourth term by plugging in n = 4:
a4 = 2 + 5(4 - 1)
a4 = 2 + 5(3)
a4 = 17
So the fourth term is 17.

In summary, the first four terms of the sequence defined by the equation an = 2 + 5(n - 1), starting with n = 1, are:
a1 = 2
a2 = 7
a3 = 12
a4 = 17

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