Use Guauss-jordan elimination to solve the following linear system:
-3x + 4y = -6
5x - y = 10

Answer:

225w

Step-by-step explanation:

volume formula: w*r²*9

w*5²*9

25*9w

225w

Answer: V=707

Step-by-step explanation:

Answer:

Range= (0,∞) and (-∞,0)

Step-by-step explanation:

Theres no real process to finding this out you just look at what type of function you have, your graph and your asymptote. We can see that the parts above the asymptote go up and towards ∞ and the part below goes down to -∞ but they can not cross 0

Answer:

(-infinity, -32/81] U (0, positive infintiy).

( use the sideways 8 symbol for infinity).

Step-by-step explanation:

The range is all possible y values in a function.

We can find the inverse of the function to find the range.

[tex]y = \frac{8}{ {x}^{2} - 7x - 8 } [/tex]

Replace x with y

[tex]x = \frac{8}{ {y}^{2} - 7y - 8 } [/tex]

Write the LCD as two binomial,

[tex]x = \frac{8}{(y + 1)(y - 8)} [/tex]

Multiply both sides by both binomial

[tex]x(y + 1)(y - 8) = 8[/tex]

[tex](xy + x)(y - 8) = 8[/tex]

[tex]x {y}^{2} - 8yx + xy - 8x = 8[/tex]

[tex]xy {}^{2} - 8yx + xy = 8 + 8x[/tex]

[tex]y( {x}^{2} - 8x + x) = 8 + 8x[/tex]

[tex] \frac{8 + 8x}{ {x}^{2} - 7x } [/tex]

[tex] {x}^{2} - 7x = 0[/tex]

[tex] {x}^{2} - 7x + 12.25 = 12.25[/tex]

[tex](x - 3.5) {}^{2} = 12.25[/tex]

[tex](x - 3.5) = 3.5[/tex]

[tex]x = 3.5[/tex]

Plug that in to the function to find it range.

We get approximately

[tex] - \frac{35}{81} [/tex]

So this means a point on our function must include -35/81.

The vertical asymptote is 0 so our y cannot be zero but it goes infinitely up so our range is

(-infinity, -32/81]U (0, positive infintiy).

( use the sideways 8 symbol for infinity).

Answer:

1/2

Step-by-step explanation:

If you need an explanation then let me know in the comments

Answer:

25%

Step-by-step explanation:

You have a 1/2 chance of getting an even number and a 1/2 chance of getting heads, so you multiply these fractions together and get 1/4, which is equal to 25%

Answer:

Option D (States.......distribution) is the appropriate choice.

Step-by-step explanation:

The superposition principle says that perhaps the sample distribution better reflects the regular distribution.

The latter choices should not affect the situation involved. The reaction, then, is the right one.

Answer:

Step-by-step explanation:

From the given information:

(i)

The domain includes all runners in a race.

x is "R" y if x beats y

Now, in a race; either x beats y or y beats x

So, x"R"y or y "R" x, but here at least two runners tied.

Thus, the relation is not in total order as x"R"y or y"R"x may not happen.

(j)

S = {a,b,c,d}

The domain = Power set of S

x"R"y if |X| ≤ |Y|

Thus, the relation is a partial order.

(k)

S = {a,b,c,d}

The domain = Power set of S

x"R"y if |X| ≤ |Y|

Answer:

Step-by-step explanation:

[tex]\frac{27^{1/3b}}{9^{1/2a}}[/tex]

We know that 27^(2/3) = 9. So:

= [tex]\frac{27^{1/3b}}{27^{1/3a}}[/tex]

note: 9^(1/2a) = 9^((2/3)(1/2)(a)) = 27^(1/3a)

[tex]= 27^{1/3b-1/3a}=27^{1/3(b-a)} = 27^{1/3(2))} = 9[/tex]

9 is the answer

Answer:

Step-by-step explanation:

a - b = 2

Answer:

B

the middle one

Step-by-step explanation:

Answer:

(-3 ;13/2)Step-by-step explanation:

hello :

the midpoint of the line segment is : ((3-9)/2 ;(10+3)/2 )

(-3 ;13/2)

Answer:

1 1/12 ft

Step-by-step explanation:

12 inch per foot

13in - 12in = 1 in

1 in left over

1 1/12

Answer:

1ft. 1in.

6/1 is the answer

Answer:

04:25 is the earliest because it is 4:25 am using 24 hour clock then, 4:30 am, 10:30a.m, 16:05 because 16:05 is the same as 4:05 pm , 4:15 pm, then 22:15 because in 24 hour clock is means 10:15 pm and the latest is 10:45pm

Answer:

There's going to be 3 thirds in one whole sandwich. Hope this helps

Step-by-step explanation:

Answer:

29.71

Step-by-step explanation:

Continuous Compounding Formula =  P x e^(r x t)

= 181.25 x e^(0.29710000000000003 x 7) = 1450.37

Answer:

30

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

mark me brainlest

Answer:

480[tex]in^3[/tex]

Step-by-step explanation:

Volume of a Rectangular Prism = L x W x H

12 x 8 x 5 = 96 x 5 = 480

480 in^3

Answer:

x = 2

Step-by-step explanation:

1. Add 9 to both sides.

6x=3+9

2. Simplify  3+9  to  12.

6x=12

3. Divide both sides by 6.

x=12/6

4.

Simplify 12/6 to 2

x = 2

Answer:

0.0082 = 0.82% probability that a randomly selected person will wait more than 42 seconds.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean wait time of 30 seconds and a population standard deviation of 5 seconds.

This means that [tex]\mu = 30, \sigma = 5[/tex]

What is the probability that a randomly selected person will wait more than 42 seconds?

This is 1 subtracted by the pvalue of Z when X = 42. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{42 - 30}{5}[/tex]

[tex]Z = 2.4[/tex]

[tex]Z = 2.4[/tex] has a pvalue of 0.9918

1 - 0.9918 = 0.0082

0.0082 = 0.82% probability that a randomly selected person will wait more than 42 seconds.

Step-by-step explanation:

VAT = 250*15%

VAT = 250*15/100

VAT = 37.5 therefore

total price add VAT =250+37.5

=287.5

Answer:

B. 0, 1, 2, 3

Step-by-step explanation:

If n were to be 4, the expression would then be incorrect because 36 is not greater than itself. However, if n was 0, 1, 2, or 3, each value would be less than 36, which is what we are looking for.

36 > 9n

36 > 9(0)

36 > 0

Correct!

36 > 9n

36 > 9(1)

36 > 9

Correct!

36 > 9n

36 > 9(2)

36 > 18

Correct!

36 > 9n

36 > 9(3)

36 > 27

Correct!

36 > 9n

36 > 9(4)

36 > 36

Incorrect! This expression would only be correct if the sign was representative of greater than or equal to, rather than just equal to.

I hope this made sense! Have an amazing day. :)

Answer:

D I think, that's the only one that makes since.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Opposite sides of a rectangle are equal and Parallel

Answer:

1) H0: μ₁=μ₂ against the claim Ha: μ₁ ≠μ₂

2)The test statistic is

t= x1`-x2`/ Sp √ ( 1/n₁ + 1/n₂)

where

Sp=  s₁² ( n1-1) + s₂²(n2-1) /(n1-1) + (n2-1)

3) D.f= n1+n2-2= 32+28-2= 58

Step-by-step explanation:

The null hypothesis is that there is no  difference in population means (masterâs degree minus bachelorâs degree)

The claim is that there there is a difference in population means (masterâs degree minus bachelorâs degree)

1) H0: μ₁=μ₂ against the claim Ha: μ₁ ≠μ₂

2)The test statistic is

t= x1`-x2`/ Sp √ ( 1/n₁ + 1/n₂)

where

Sp=  s₁² ( n1-1) + s₂²(n2-1) /(n1-1) + (n2-1)

Putting the values

Sp= 12,250,000( 31)  + 16,000,000(27)/ 31+27

Sp=  379,750,000- 432,000,000/58

Sp= -52,250,000/58

Sp= -900,862.1

Now Putting the values in the t- test

t= x1`-x2`/ Sp √ ( 1/n₁ + 1/n₂)

t= 55,000- 58,000/ -900,862.1 √1/32+ 1/28)

t= -3000/ -233,120.21

t= 0.012868

3) D.f= n1+n2-2= 32+28-2= 58

for 2 tailed test the critical value of t is obtained by

t≥ t∝/2 ( d.f)=t≥ t0.025 (58)= ± 2.0017

4) Since the calculated value of t=  0.012868 does not fall in the critical region t≥ t∝/2 ( d.f)= ± 2.0017 we conclude that H0 is true and accept the null hypothesis.

Answer:

169

Step-by-step explanation:

Larger Number = 196

Smaller Number = 169

Step-by-step explanation:

larger sum = 196/

smaller sum = 169/

hope it helps. :)

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Answer: Graph 3

Explanation: Only one that satisfies both patterns

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

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Answer:

1) D: none of them

2) C: ae^(ax)

3) A: cot x

4) A: (3,0)

Step-by-step explanation:

1) the degree of the denominator is more than that of the numerator, thus as n approaches infinity, the function would approach zero. The answer is not available among the options

2) y = e^(ax)

dy/dx = ae^(ax)

3) y = log(sin x)

dy/dx = (1/sin x) × d(sin x)/dx

dy/dx = cosx/sin x

dy/dx = 1/(sin x/cos x)

We know from trigonometry that sin x/cos x = tan x. Thus

dy/dx = 1/tan x

dy/dx = cot x

4) An inflection point is usually the point where the second derivative is equal to zero.

f(x) = x³ - 9x²

f'(x) = 3x² - 18x

f"(x) = 6x - 18

Equating to zero gives;

6x - 18 = 0

x = 18/6

x = 3

Thus the inflection point is (3,0)

Answer:

1/2, or 50%

Step-by-step explanation:

out of the six possibilities, there are 3 odd numbers: 1, 3, 5

3 out of 6 is 1/2, therefore the probability is 1/2, or 50%

Answer:

it's 1512. you multiply everything together. volume=lengthsxheightxwidth

Answer:

y = -3x + 7

Step-by-step explanation:

Points on the graph: (0, 7) and (3, -2)

Slope:

m=(y2-y1)/(x2-x1)

m=(-2-7)/(3-0)

m=(-9)/3

m = -3

Slope-intercept:

y - y1 = m(x - x1)

y - 7 = -3(x - 0)

y - 7 = -3x

y = -3x + 7

Answer:

Step-by-step explanation:

[tex]\frac{1}{2}b^{2} - 6[/tex]

[tex]\frac{1}{2}(4)^{2} - 6[/tex]

[tex]\frac{1}{2} * 16 - 6[/tex]

[tex]8 - 6[/tex]

[tex]2[/tex]

Answer:

2

Step-by-step explanation:

Plug in the value:

1/2 b² – 6

1/2 (4)² – 6

Use order of operations (PEMDAS):

There are no parentheses:

Do exponent:

1/2 (16) – 6

Then multiplication and division in the order that they come in:

8 – 6

Then addition and subtraction in the order that they come in:

2