Find a basis for the orthogonal complement of the subspace of R4 spanned by the vectors. v1 = (1, 4, -5, 3), v2 = (4, 15, 0, 5), v3 = (1, 3, 15, -4)

The basis for the row space is

W1 = ( ... , ... , 1, 0)
W2= (..., ..., 0, 1)

True

Divide by -4 on both sides and you're left with x=7

Answer: Shade 6 pieces

Step-by-step explanation:

Because 2/5 of 15 is 6

The maximum amount you can finance is $896.

We are given that;

The monthly gross income = $3,200

Now,

28% of your gross monthly income on your mortgage, including taxes and insurance

The percentage = 28%

3200* 28/100

=32*28

=896

Therefore, by percentage the answer will be $896.

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Answer:

4

Step-by-step explanation:

2+2 is 4

Answer:

Step-by-step explanation:

let x be the price of ticket,then

120-x=3(80-x)

120-x=240-3x

3x-x=240-120

2x=120

x=120/2=60

Price of ticket=$60

Mr.Chandra has 80-60=20 $ after buying the ticket.

Answer:

35

Step-by-step explanation:

This shape has 6 sides.

Sum of interior angles of a 6 sided shape is 720.

117 + 4x - 5 + 4x - 3 + 118

+ 3x + 6 + 3x - 3 = 720

4x + 4x + 3x + 3x

+ 117 + 118 + 6 - 5 - 3 - 3 = 720

14x + 241 - 11 = 720

14x + 230 = 720

14x = 720 - 230

14x = 490

x = 490/14

x = 35

Answer:

Step-by-step explanation:

sin (B) = \(\frac{2}{5}\)

Answer:

a

The null hypothesis is  \(H_o : \sigma^2_1 = \sigma^2 _2\)

The alternative hypothesis is \(H_a : \sigma_1 ^2 > \sigma^2_2\)

b

\(F_{critical} = 1.8608\)

c

\(F = 2.9085\)

d

    The decision rule is  

Reject the null hypothesis

e

There is sufficient evidence to support the researchers claim

Step-by-step explanation:

From the question we are told that

 The first sample size is  \(n_1 = 30\)

 The sample variance for elementary school is  \(s^2_1 = 8324\)

 The second sample size is  \(n_2 = 30\)

  The sample variance for the secondary school is  \(s^2_2 = 2862\)

   The significance level is  \(\alpha = 0.05\)

The null hypothesis is  \(H_o : \sigma^2_1 = \sigma^2 _2\)

The alternative hypothesis is \(H_a : \sigma_1 ^2 > \sigma^2_2\)

Generally from the F statistics table  the critical value of \(\alpha = 0.05\) at first and  second degree of freedom \(df_1 = n_1 - 1 = 30 - 1 = 29\) and  \(df_2 = n_2 - 1 = 30 - 1 = 29\) is  

         \(F_{critical} = 1.8608\)

Generally the test statistics is mathematically represented as

       \(F = \frac{s_1^2 }{s_2^2}\)

=>   \(F = \frac{8324 }{2862}\)

=>   \(F = 2.9085\)

Generally from the value obtained we see that  \(F > F_{critical }\) Hence

   The decision rule is  

Reject the null hypothesis

    The conclusion is  

  There is sufficient evidence to support the researchers claim

Answer:

4/5 times 40 = 32

1/6 times 48= 8

5/8 times 64= 40

Step-by-step explanation:

Hope this helps chu! Credit to the person below as well!

According to the data, the number of different possibilities Howard has is: 3,628,000.

To find the number of possibilities that Howar has for the routes of the stages of the race we must use the formula that is in the attached image. Additionally, we must take into account that the values of n and x correspond to the total of possible routes and the routes that he needs.

In this case, we only have to replace the values and obtain the result:

Based on the information, it can be inferred that Howard has 3,628,000 chances to combine the routes in the 5 available stages of his career.

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Answer:

12:20 because for ever 12 fruite pies 20 cream pies are made so it would look like the following!

12:20

Step-by-step explanation:

Hope it helps! =D

Answer:

64

Step-by-step explanation:

The value of the function f(x) = x² −4x−19 at the value x = -9 will be 98.

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Given function is f(x) = x² −4x−19. The value of the function at f(-9) will be calculated as:-

f(x) = x² −4x−19

f(-9) = ( -9 )² - ( 4 x --9 ) - 19

f(-9) = 81 + 36 - 19

f(-9) = 98

Therefore, the value of the function f(x) = x² −4x−19 at the value x = -9 will be 98.

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Therefore, in response to the given query, we can state that R(-1)'s inequality possible spectrum is thus: [0, 10]

A connection between two expressions or numbers that is not equivalent in mathematics is referred to as an inequality. Thus, disparity results from inequity. In mathematics, an inequality establishes the connection between two non-equal numbers. Egality and disparity are not the same. Use the not equal sign most frequently when two numbers are not identical. (). Values of any size can be contrasted using a variety of disparities. By changing the two sides until only the factors are left, many straightforward inequalities can be answered. However, a number of factors support inequality: Both parts' negative numbers are divided or added. Exchange the left and the right.

The equation can be used to describe the candle's length, R(t):

R(t) = 11 - 1.1t

where t represents how long the light has been burning, in hours.

We must determine t in terms of R in order to determine the negative of R(t):

R = 11 - 1.1 t = (11 - R)/1.1 t = (11 - R)

R(t)'s inverse function is thus:

\(R^{(-1)}(R) = (11 - R)/1.1\)

0 ≤ R ≤ 11

So, R(-1)'s scope is as follows:

[0, 11]

0 ≤ R ≤ 11

Inputting these limits into the equation for R(-1) yields the following results:

\(R^{(-1)}(0) = 11/1.1 = 10\\R^{(-1)}(11) = 0/1.1 = 0\)

R(-1)'s possible spectrum is thus:

[0, 10]

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Without explicitly solving for x, we can conclude that the solution to the equation 2^x - 2 = 8^4 is x = 12.

To solve the equation 2^x - 2 = 8^4 without explicitly solving for x, we can simplify the equation using exponent rules and observe the relationship between the numbers.

First, let's simplify the equation:

2^x - 2 = 8^4

We know that 8 can be expressed as 2^3, so we can rewrite the equation as:

2^x - 2 = (2^3)^4

Applying the exponent rule (a^m)^n = a^(mn), we can simplify further:

2^x - 2 = 2^(34)

Simplifying the right side of the equation:

2^x - 2 = 2^12

Now, we can observe that both sides of the equation have the same base, which is 2. In order for the equation to hold true, the exponents must be equal:

x = 12

Therefore, we may deduce that the answer to the equation 2x - 2 = 84 is x = 12 without having to explicitly solve for x.

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Answer: b = 11.62

Step-by-step explanation:

We can use this formula to solve for b:

\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)

\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)

\(b^2= \sqrt{144-9}\)

= 11.61895004

We can round that to 11.62.

Hope this helped!

Answer:

(2) 6x^2+40x +50

Step-by-step explanation:

(4x+10)*(2x+5) = 8x^2 +40+50

minus 2x^2

=6x^2 +40 +50

Answer:

17.8

Step-by-step explanation:

You have to add 9.2 and 63 and the subtract from 90. Hope this helped! <3

Complete Question

The options for the above question is  

a There is not sufficient evidence to warrant rejection of the claim.    

b  There is sufficient evidence to warrant rejection of the claim.

c There is sufficient evidence to support the claim.    

d There is not sufficient evidence to support the claim.

Answer:

Option A is correct

Step-by-step explanation:

From the question we are told that

     The  population mean is  \(\mu =\)$47,500

     The sample size is \(n = 86\)

      The sample  mean is  \(\= x =\)$48,061

      The standard deviation is \(\sigma =\)$2,351

       The  level of significance is  \(\alpha = 0.02\)

The null hypothesis  is  

     \(H_o : \mu =\)$47,500

 The  alternative hypothesis is

      \(H_a : \mu \ne\) $47,500

The critical value of  \(\alpha\) from the t-Distribution table is  \(Z_{\frac{\alpha }{2} } = 2.326\)

Now the test statistics is mathematically evaluated as

       \(t = \frac{\= x - \mu }{ \frac{\sigma }{\sqrt{n} } }\)

substituting values

      \(t = \frac{48061 - 47500 }{\frac{2351}{\sqrt{86} } }\)

      \(t = 2.21\)

Now from the values  obtained we can see that

        \(Z_{\frac{\alpha }{2} } > t\)

hence we fail to reject the null hypothesis

Hence there is not sufficient evidence to warrant rejection of the claim

The expression equivalent to the expression -3x²-24x-36 is -3(x+6)(x+2)

An expression in maths, a statement involving at least two different numbers (known or unknown) and at least one operation.

Given an expression, -3x²-24x-36;

Factorizing, we get,

-3x²-24x-36 = -3(x²+8x+12)

= -3(x²+6x+2x+12)

= -3[x(x+6)+2(x+6)]

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

Hence, The expression equivalent to the expression -3x²-24x-36 is -3(x+6)(x+2)

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Answer:

5/6

Step-by-step explanation:

1/2x3= 3/6

1/3x2=2/6

3/6+2/6=5/6

(i) The first term (a) is 24 and the common difference (d) is -2.

(ii) The sum of the progression is 2520.

i) Finding the first term and common difference:

Given that the number of terms in the arithmetic progression is 40 and the last term is -54, we can use the formula for the nth term of an arithmetic progression to find the first term (a) and the common difference (d).

The nth term formula is: An = a + (n-1)d

Using the given information, we can substitute the values:

-54 = a + (40-1)d

-54 = a + 39d

We also know that the sum of the first 15 terms added to the sum of the first 30 terms is zero:

S15 + S30 = 0

The sum of the first n terms of an arithmetic progression can be calculated using the formula:

Sn = (n/2)(2a + (n-1)d)

Substituting the values for S15 and S30:

[(15/2)(2a + (15-1)d)] + [(30/2)(2a + (30-1)d)] = 0

Simplifying the equation:

15(2a + 14d) + 30(2a + 29d) = 0

30a + 210d + 60a + 870d = 0

90a + 1080d = 0

a + 12d = 0

a = -12d

Substituting this value into the equation -54 = a + 39d:

-54 = -12d + 39d

-54 = 27d

d = -2

Now we can find the value of a by substituting d = -2 into the equation a = -12d:

a = -12(-2)

a = 24

Therefore, the first term (a) is 24 and the common difference (d) is -2.

ii) Finding the sum of the progression:

The sum of the first n terms of an arithmetic progression can be calculated using the formula:

Sn = (n/2)(2a + (n-1)d)

Substituting the values:

S40 = (40/2)(2(24) + (40-1)(-2))

S40 = 20(48 - 39(-2))

S40 = 20(48 + 78)

S40 = 20(126)

S40 = 2520

Therefore, the sum of the arithmetic progression is 2520.

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Answer:

its option 2 because the y values don't repeat

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

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A box-and-whisker plot which represent the given data set is shown in the image attached below.

The five-number summary for the given data set have been listed correctly below.

In Mathematics, a box-and-whisker plot is sometimes referred to as a box plot and it can be defined as a type of chart that is used for the graphical or visual representation of the five-number summary of a data set with respect to locality, skewness, and spread.

By using an online box-and-whisker plot calculator, the five-number summary for the given data set include the following:

By critically observing the box-and-whisker plots (see attachment), we can logically deduce that all of the five-number summary for the given data set are correctly listed.

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Answer:

Step-by-step explanation:

2(3n-5)-4n+7=

6n-10-4n+7=

-3+2n

Answer:

2n-3

Step-by-step explanation:

2(3n-5)-4n+7

6n-10-4n+7

6n-4n-10+7

2n-10+7

2n-3

Please mark me as Brainliest if you're satisfied with the answer.

The simplified Stirling's approximation of the expression is  Ω ≈ (Ne/N↓)^N ↓ ​  

Stirling's approximation is a method to approximate factorials of large numbers. It is given by the formula:

n! ≈ (√2πn) (n/e)ⁿ, where e is the mathematical constant approximately equal to 2.71828.

The two-state paramagnet has N spins, each of which can be either up or down. The number of possible arrangements of the N spins is 2ⁿ. However, we need to account for the fact that the energy of the system is dependent on the number of spins in the up state.

Let M be the number of spins in the up state. The energy of the system is given by E = -μBM, where μB is the Bohr magneton, and B is the magnetic field. The multiplicity of the system is given by the number of ways we can arrange the N spins such that M spins are in the up state.

Using Stirling's approximation, we can approximate the factorials involved in the multiplicity expression as follows:

Ω = (N!/(M!(N-M)!)) ≈ \(((N/e)^N / ((M/e)^M ((N-M)/e)^{N-M}))^{1/2}\)

We can simplify this expression in the limit N↓​≪N, which means that the number of spins is much smaller than the total number of particles in the system. In this limit, we can make the approximation that (N-M) ≈ N.

Ω ≈ \(((N/e)^N / ((M/e)^M ((N-M)/e)^{N-M}))^{1/2}\)

Ω ≈ \(((N/e)^{N-M} / (M/e)^M)^{1/2}\)

Ω ≈ ((Ne/N↓​)^ⁿ↓​)

This is similar to the result obtained in Problem 2.17, which was for a system of N distinguishable particles distributed among g energy levels. In the limit where the number of particles in each energy level is much smaller than the total number of particles in the system, we obtain a similar formula for the multiplicity.

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Answer:

2

Step-by-step explanation:

the line meets the y axis at (0,2)

Answer:

you need this ?

the y is

y=-x+2

Answer:

- 2x + 24

Step-by-step explanation:

- 3(2x - 8) + 4x ← distribute parenthesis by - 3

= - 6x + 24 + 4x ← collect like terms

= - 2x + 24 or 24 - 2x

Hey there!

-3(2x - 8) + 4x

DISTRIBUTE -3 within the parentheses

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

= -6x + 24 + 4x

COMBINE the LIKE TERMS

= (-6x + 4x) + (24)

= -6x + 4x + 24

= -2x + 24

Therefore, your answer should be:

-2x + 24

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

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