Solve the simultaneous equations:
4x + 3y = 5
2x - 5y = 9

Preferably use elimination rather than other methods.

Answer & explanation:

A statistical question is one that can be answered by collecting data and where there will be variability in that data. This is different from a question that anticipates a deterministic answer. For example, "How many minutes do 6th grade students typically spend on homework each week?" is a statistical question.

Pls, choose me as brainliest!

Therefore, at the given point (1, 1, 2, 4), ∂u/∂t = (ln(2) / 2) × ∂t/∂u, and ∂t/∂u cannot be determined from the given equation.

To calculate the partial derivatives ∂u/∂t and ∂t/∂u using implicit differentiation of the given equation, we'll differentiate both sides of the equation with respect to the variables involved, treating the other variables as constants.

Let's break it down step by step:

Given equation: (-2ln(-x) = ln(2)(tx - v) × 2ln(w - uv) = ln(2)

We'll differentiate both sides of the equation with respect to u and t, treating x, v, and w as constants.

Differentiating with respect to u:

Differentiate the left-hand side:

d/dt (-2ln(-x)) = d/dt (ln(2)(tx - v))

-2(1/(-x)) × (-1) × dx/du = ln(2)(t × du/dt - 0) [using chain rule]

Simplifying the left-hand side:

2(1/x) × dx/du = ln(2)t × du/dt

Differentiating with respect to t:

2ln(w - uv) × d/dt (w - uv) = 0 × d/dt (ln(2))

2ln(w - uv) × (dw/dt - u × dv/dt) = 0

Since the second term on the right-hand side is zero, we can simplify the equation further:

2ln(w - uv) × dw/dt = 0

Now, we substitute the given values (1, 1, 2, 4) into the equations to find the partial derivatives at that point.

At (1, 1, 2, 4):

-2(1/(-1)) × dx/du = ln(2)(1 × du/dt - 0)

2 × dx/du = ln(2) × du/dt

dx/du = (ln(2) / 2) × du/dt

2ln(w - uv) × dw/dt = 0

Since the derivative is zero, it doesn't provide any information about ∂t/∂u.

Therefore, at the given point (1, 1, 2, 4):

∂u/∂t = (ln(2) / 2) × ∂t/∂u

∂t/∂u cannot be determined from the given equation.

To learn more about partial derivatives, visit:

https://brainly.com/question/31397807

#SPJ11

Answer:

your answer is A. 92.4

Step-by-step explanation:

Diagonal Length = v(92.4² + 50²)

V(8537.76 + 2500)

V(1037:76)

Diagonal Length 105

Answer:

92.3ft

Step-by-step explanation:

Let the con=rners be A,B,C and d

so AC=105 ft and AB=50ft

using Pythagoras theroem: h^2=b^+p^2

105^2=50^2 + p^2

P^2= 11025-2500

p= √8525

p=92.33

Answer:

y=4

Step-by-step explanation:

If x equals 2 then you just do basic math to find out what y equals.

The travel time x is 41.162 min such that 17.36% of the 60 days have a travel time that is at least x.

We have to determine the travel time such that 17.36% of the 60 days have a travel time that is at least.

Total work days to work = 60 days

The travel mean time = 35.6

Standard deviation = 10.3

For normal distribution,

P(X < A) = P(Z < (A - mean)/standard deviation)

P(X > x) = 0.2946

P(X < x) = 1 - 0.2946 = 0.7054

P(Z < (x - 35.6)/10.3) = 0.7054

Take the z value that corresponds to 0.7054 in the table of the standard normal distribution.

(x - 35.6)/10.3 = 0.54

x = 41.162 min

To learn more about standard normal distribution link is here

brainly.com/question/29509087

#SPJ4

The value of the integral is 2/pi. Therefore, the answer is:2/pi

To evaluate this integral in the order dx dy:

We need to determine the limits of integration.

Since there are no explicit limits given, we can look at the function y cos(xy) to see when it is non-zero.

This occurs when cos(xy) is non-zero, which happens when xy is an odd multiple of pi/2.

Therefore, the limits of integration for x are (-pi/2y, pi/2y), and the limits of integration for y are (0, 1).

Now, we can evaluate the integral:

∫∫R y cos(xy) dA = ∫0^1 ∫-pi/2y^pi/2y y cos(xy) dx dy
= ∫0^1 [sin(pi/2y) - sin(-pi/2y)] dy
= ∫0^1 2 sin(pi/2y) dy
= 2/π

Therefore, the answer is 2/pi.

To know more about the Integration:

https://brainly.com/question/18125359

#SPJ11

Vertex (3, 5)   ⇒  h = 3,  k = 5

a is the same as given.

The equation:

The average of the lengths of the wood at the store can be found to be C. 10.344 Inches.

To find the average length, we need to add up the lengths of the 8 pieces of wood and then divide by 8.

10 and 1/16 = 10.0625

10 and 1/8 = 10.125

10 and 1/4 = 10.25

10 and 3/8 = 10.375

Adding these four lengths together, we get:

10.0625 + 10.125 + 10.25 + 10.375 = 40.8125

Dividing by 4, we get the average length:

40.8125 / 4 = 10.344 Inches

Find out more on averages at https://brainly.com/question/20118982

#SPJ1

Given:

3(4y + 4z - 9)​

Using distributive to write an equivalent expression,we have:

3*4y + 3*4z - 3*9

= 12y + 12z - 27

The equivalent expression is:

12y + 12z - 27

\(2^{100} = 16^{25} =32^{20} =1024^{10}\)

P/s: \(2^{100} = 2^{4.25} =16^{25}\) ......

ok done. Thank to me :>

Answer:

$1,800

Step-by-step explanation:

Given

Total revenue last year = $2,800

If they spent 1/4 of their revenues on marketing;

Amount spent on marketing = 1/4 * 2800

Amount spent on marketing = $700

Remaining money = 2800 - 700

Remaining money = $2100

If 1/7 of the remaining money is spent on upgrading their facilities, then;

Amount spent on upgrading facilities = 1/7 * 2100

Amount spent on upgrading facilities = $300

Total amount spent on marketing and facilities  = $700 + $300

Total amount spent on marketing and facilities  = $1000

Amount left = $2,800 - $1,000

Amount left = $1,800

Answer:

10 : 7

Step-by-step explanation:

Deleting 56 songs leaves 136 - 56 = 80 songs, thus

ratio of songs kept : songs deleted = 80 : 56 ( divide both parts by 8 )

80 : 56 = 10 : 7 ← in simplest form

Answer:

Simplify: 8 2 − 1 3 + 2 2

Step-by-step explanation:

Solution: 1 0 2 − 1 3

Answer:

The answer is 138

Step-by-step explanation:

4:92

1:23

23×6=138

Answer:

138

Step-by-step explanation:

92 divided by 4 = 23

Trevor makes 23 toys per hour

23 x 6 = 138

So, Trevor would make 138 toys in 6 hours.

Answer:

\(y<2x-1\)

\(y<\frac{1}{4}x+\frac{5}2\)

Skills needed: Linear Inequalities

Step-by-step explanation:

1) Now, we need to understand the idea of linear inequalities. Linear inequalities have usually a region of points that make up the solution. Check the images I posted for reference.

There are usually 4 symbols used for inequalities: \(<, >, \geq, \leq\)

Important note: If it includes \(\geq\) or \(\leq\), then that means the solution includes points on the line.

2) In this situation, we have two lines:

\(y=2x-1\) (Which is the line that is more steep + Contains BOTH points A and D) and \(y=\frac{1}4x+\frac{5}{2}\) (Which is the line that is less steep + Contains ONLY point A as part of it).

We need to make 2 inequalities so Point C is the only solution.

---> This means we cannot use \(\geq\) and \(\leq\) as those will include points on the line (Points a and d) as solutions.

3) So \(y>2x-1\) or \(y < 2x-1\)

AND \(y>\frac{1}4x+\frac{5}2\) or \(y < \frac{1}4x+\frac{5}{2}\)

----> For the inequality involving the line \(2x+1\), we have two possibilities:

The y-value is greater than twice the x-value plus one

The y-value is less than twice the x-value plus one

----> Let's use Point C to see which one it will fall under. The coordinates of point C are: (3, 1) --> We plug in these values for y and x

1 is the y-value, 3 is the x-value.

\(1 = 2(3)-1 \\ 1=6-1 \\ 1< 5\)

This means that: \(y<2x-1\) for Point C to be a solution

4) The same rules above apply for the next line (2 possibilities):

The y-value is greater than one-fourths the x-value plus five-halves OR

The y-value is less than one-fourths the x-value plus five-halves

---> Let's plus (3, 1) in again

\(1 = \frac{1}{4}*3+\frac{5}{2} \\ 1=\frac{3}{4}+\frac{5}2 \\ 1 < \frac{13}4\)

This means that: \(y<\frac{1}4x+\frac{5}2\) for Point C to be a solution

Answer:

A

Step-by-step explanation:

u can just test them out

Answer:

A. y = 2\((x - 2)^{2}\) + 5

Step-by-step explanation:

positive 2 because the parabola faces upwards, and + 5 because it's vertex is places at (2,5)

Answer:

35°

Step-by-step explanation:

Angles on a straight line add up to 180, so 180-145 is equal to

Answer:

O P=20($1.50)

They will make $3,000 if they sell 100 boxes of chocolates

Step-by-step explanation:

It is multiplication because it is $1.50 per each chocolate bar, and since there is 20 per box, we need to find the profit for the entire box

using that info, we find that each box of chocolates is 30 dollars

multiplied by 100 boxes is $3000.

The process of displaying the large quantities of data in a meaningful way is called Data Visualization .

The Data Visulalization involves presenting data in a graphical or pictorial format to help people understand and analyze the data more easily.

The goal of data visualization is to make complex data sets more accessible, understandable, and actionable by presenting them in a clear and visually appealing way.

The Common types of data visualization include bar charts, line graphs, scatter plots, heat maps, and infographics, among others.

Learn more about Data Visualization here

https://brainly.com/question/29662582

#SPJ4

The function f(x) = \(x^2 e^{(-x^2)}\) has a maximum value at x = 0, which is a relative maximum point.

To find the relative maximum of the function f(x) =\(x^2 e^{(-x^2)}\), we can take its first derivative, set it to zero, and solve for x.

f(x) = \(x^2 e^{(-x^2)}\)

f'(x) = \(2x e^{(-x^2)} - 2x^3 e^{(-x^2)}\)

Setting f'(x) = 0, we get:

\(2x e^{(-x^2)} - 2x^3 e^{(-x^2)} = 0\)

\(2x e^{(-x^2)} (1 - x^2) = 0\)

This equation is true when either \(2x e^{(-x^2)} = 0\) or \(1 - x^2 = 0\).

Solving \(2x e^{(-x^2)} = 0\), we get x = 0.

Solving \(1 - x^2 = 0\), we get x = 1 or x = -1.

Now, we need to determine whether these values of x correspond to relative maximum, minimum, or inflection points.

To do this, we can use the second derivative test. The second derivative of f(x) is:

f''(x) = \(2e^{(-x^2)} - 4xe^{(-x^2)} - 4x^2e^{(-x^2)}\)

At x = 0, f''(0) = 2, which is positive. This means that f(x) has a relative minimum at x = 0.

At x = 1, f''(1) = \(-6e^{(-1)}\), which is negative. This means that f(x) has a relative maximum at x = 1.

At x = -1, f''(-1) = \(-6e^{(-1)}\), which is negative. This means that f(x) has a relative maximum at x = -1.

Therefore, the answer is (D) -1 and 1 only, as these are the only values of x at which f(x) has a relative maximum.

Learn more about equation here:

https://brainly.com/question/12788590

#SPJ4

Answer:

equilateral

Step-by-step explanation:

In an equilateral triangle, all sides and angles are equal.

The true statements for the given function f(x) are:

The value of g(1) is 3 and the y- intercept of g(x) is at the point (0, 1) .

The function g(x) = f( x - 3 )

g (1) = f (1 -3 )

       = f (-2 )

       = 3

g (-1) = f (-1 -3)

       = f (-4)

       = - 1

Substituting , x = 0 to find the y intercept of g(x)

g ( 0 ) = f ( 0 - 3)

          =f (-3)

          =1

The y intercept of g(x) is at the point (0, 1)

Thus, options 1 and 4 are the true statements for the given function.

To learn more about functions, refer:

https://brainly.com/question/25638609

#SPJ1

The values are missing in the question. They are : 16.3,12.8,13,32.2,28.1,34.4,46.4,53,15.4,18.2

16.3,12.8,13,32.2,28.1,34.4,46.4,53,15.4,18.2

We calculate sample mean and std deviation from given data.

Sample Mean,    =269.8/10=26.98

Sample Variance,     =1859.496/9=206.610667

Sample std dev,s==√206.610667≈14.373958

We want to test two tailed hypothesis:

: σ=12

: σ≠12

Given: s=14.373958⇒  =206.610667,n=10

Significance level, a=0.1 Degrees of freedom, df=n-1=9

Since this is two tailed test, we need area of α=0.1 on either side of critical value. This means area of 0.05 on right of positive critical value.

Critical values are given by   with 9 degrees of freedom.

We can use chi-square table or following excel commands:

CHISQ. INV(0.95,9)=3.32511284307

CHISQ. INV (0.05,9)=16.9189776046

Critical Values, =3.325  and =16.919

Since this is two tailed test, the decision rule or rejection criteria is:

Reject null hypothesis if test statistic is less than or equal to left critical value OR more than or equal to right critical value, i.e,

Reject    if ≤3.325  OR ≥16.919

Test statistic is given by  =((9)*206.610667)/144=12.913167    

Test statistic, =12.913

since test statistic is between two critical values, we (do not reject ) (i.e, we fail to reject .

Conclusion: There is (not sufficient) evidence to conclude that standard deviation is not equal to 12 .

Alternatively, we can use p-value approach. The decision rule or rejection criteria is: reject null hypothesis if p-value is less than or equal to significance level (α), i.e, reject  if p-value ≤0.1

P-value is twice the (smaller) tail area of test statistic because this is two tailed test. We can use excel function to find this. 2*M IN (CHISQ.DIST (12.913167,9,  TRUE ) 1-CHISQ.DIST 12.913167,9,  TRUE ) =0.333149809868

P-value =0.3331

since p-value is greater than significance level (α),we (do not reject ) (i.e, we fail to reject ).

Conclusion: There is (not sufficient) evidence to conclude that standard deviation is different from 12 .

Answer| range: {15, 11, 7, -3, -7}

Step-by-step explanation:

Plug in the domain to find the range:

x = 4

2(-4) + y = 7

-8 + y = 7

y = 15

x = -2

2(-2) + y = 7

-4 + y = 7

y = 11

x = 0

2(0) + y = 7

0 + y = 7

y = 7

x = 5

2(5) + y = 7

10 + y = 7

y = -3

x = 7

2(7) + y = 7

14 + y = 7

y = -7

The statement that best describes why ∫₁^∞ ²/(3x + 2)² dx will converge or diverge is option B. It will diverge because the corresponding limit does not exist.

To evaluate the convergence or divergence of the integral, examine the behavior of the integrand as x approaches infinity. In this case, as x gets larger, the denominator 3x + 2 also grows without bound. Therefore, the integrand ²/(3x + 2)² approaches zero as x goes to infinity.

However, the convergence or divergence of the integral is not totally determined by the behavior of the integrand; it also depends on the behavior of the limits of integration.

In this case, the lower limit is 1, and integrating from 1 to infinity. Since the integrand approaches zero but does not tend to a finite value as x goes to infinity, the integral ∫₁^∞ ²/(3x + 2)² dx does not converge. Hence, it diverges.

Therefore, the correct statement is option B. It will diverge because the corresponding limit does not exist.

learn more about integration: https://brainly.com/question/27419605

#SPJ1

The midpoint of the given coordinates of points (0,-10) and (-6,-8) is  ( -3,-9 )

A midpoint is simply a point that divides a line segment into two equal halves.

The midpoint formula is expressed as;

M = ( (x₁+x₂)/2, (y₁+y₂)/2 )

Given the data in the question;

Point 1( 0,-10 )

Point 2( -6,-8 )

Midpoint = ?

To determine the midpoint, plug the given points into the midpoint formula above and simplify.

M = ( (x₁+x₂)/2, (y₁+y₂)/2 )

M = ( ( 0 + (-6) )/2, ( (-10) + (-8) )/2 )

M = ( ( 0 - 6) )/2, ( -10 - 8 )/2 )

M = ( ( -6 )/2, (-18 )/2 )

Midpoint M = ( -3,-9 )

Therefore, the midpoint of the coordinates is ( -3,-9 ).

Learn more about the midpoint formula here: brainly.com/question/14687140

#SPJ1

if dimensions were 5 and 12, that means ratio was 5:12. if we increase wach dimension by the same amount, the ratio is the same.

so:

5x×12x=120

60x²=120

x²=120÷60

x²=2

x=√2

that means each dimension was increased by √2

so dimensions are: 5√2 and 12√2

Answer:

Step-by-step explanation:

expression = (x + 4) / 3

x = 5

(5 + 4) / 3

= 9/3

= 3

Hope this helps

plz mark as brainliest!!!!!!