what is using cramer method x+y+z=4

The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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Answer:

1372 ft^3

Step-by-step explanation:

Volume of sphere =\(\frac{4}{3}\)πr^3

here π is 3 and radius = 7

4/3 * 3 * 7^3

1372ft^3

Answer:

14ft

Step-by-step explanation:

The slope of the line is negative which is given in the graph. which is the correct answer would be option (B).

The slope of the line is defined as the gradient of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

As per the given graph,

The line passes through the points (−4, 2) and (0, 0)

Let

x₁ = -4, y₁ =2

x₂ = 0, y₂ = 0

∵ Slope m = (y₂ - y₁)/(x₂ -x₁  )

Substitute values in the formula

m = (0 - 2)/(0- (-4))

m = (-2)/(4)

m = -1/2

So, the slope of the line is negative.

Thus, the slope of the line is negative which is given in the graph.

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Answer:

exponential decay

Step-by-step explanation:

The function is in the form

y = ab^x  where a is the initial value and b is the growth or decay rate

If b >1 then it is growth

b < 1 then it is decay

f(x) = 5(2/3)^x

a = 5

b = 2/3

2/3 <1 so it is decay

The probability that a randomly selected point within the circle would fall in the red- shaded area is 45. 833 %

The arc that is covered by the red - shaded area in the circle has a degree measure of 165 degrees. This is out of the total circle angle measure of 360 degrees.

This therefore means that the probability that a randomly selected point within the circle would fall in the red- shaded area can be found to be :

= Angle measure of red - shaped area / Total area x  100 %

= 165 / 360 x 100 %

=0. 45833 x 100 %

= 45. 833 %

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Step-by-step explanation:

A: If there are 2 modes, x can be either 1 or 2.

B: To find the mode of the data set, we need to count how many times each number appears.

- 0 appears 2 times

- 1 appears 4 times

- 2 appears 4 times

- 3 appears 3 times

- 4 appears 1 time

Since both 1 and 2 appear 4 times in the data set, there are two modes.

For x, if we add it to the data set, then the mode must be x plus either 1 or 2.

If we choose x to be 2, then the mode would be 2, since 1 and 2 each appear 4 times, and adding another 2 would make it the mode.

So a possible value for x could be 2, and the mode would be 2.

The graph of the function is attached

The amplitude and the period are 5 and 2π

From the question, we have the following parameters that can be used in our computation:

f(x) = 5cos(θ)

A sinusoidal function is represented as

f(x) = Acos(B(x + C)) + D

Where

So, we have

A = 5

Period = 2π/1

Evaluate

A = 5

Period = 2π

Hence, the amplitude is 5 and the period is 2π

The graph of the function is attached

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a. The areas of the square is 81m² and for rectangle is 72m²

b. The perimeter of the square is 40m

a. To determine the area of the shapes in which we have that have a perimeter of 36m, we can consider rectangle and square.

For a square;

Perimeter of square = 4L

36 = 4L

L = 9m

The area of the square will be L² = 9² = 81m²

For a rectangle;

The perimeter of rectangle is;

P = 2(L + W)

We can assume that two numbers which will represent the length and width are;

L = 12m, W = 6m or L = 6m, W = 12m

A = 12 * 6 = 72m²

b.

The area of the wire is 100m², the perimeter for this can be calculated when we consider square and rectangle;

Perimeter of square = 4L

Area of square = L² = 100m²

L = 10m

The perimeter of the wire is 4(10) = 40m

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Answer:

it  is 24.

Step-by-step explanation:

The value of (3 minus 5) Superscript 4 Baseline (2) minus 16 divided by 2 is 24. This answer is correct and helpful.

Answer:

24

Step-by-step explanation:

Answer: game 1  10 mins game 2 22

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

\(d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ \)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

J(5.4,-3.2) and K(4,-1.2)

The distance between them is

\( |JK| = \sqrt{ ({5.4 - 4})^{2} + ({ - 3.2 + 1.2})^{2} } \\ = \sqrt{( {1.4})^{2} + ({ - 2})^{2} } \\ = \sqrt{1.96 + 4} \\ = \sqrt{5.96} \: \: \: \: \: \: \: \: \\ = 2.44131112\)

We have the final answer as

Hope this helps you

Step-by-step explanation:

where is x in the question

Answer:

yes

Step-by-step explanation:

soory i need points

Answer: 20.864

Step-by-step explanation: 8.15 x 4 = 32.6 divided by 5 = 6.52 x 3.2 = 20.864

Hope this helps  : D

Answer:

38.4

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

3x+6=9

subtract 6 from both sides

3x=3

divide 3 from both sides

x=1

Answer: x =1

Step-by-step explanation:

you have 9 ones on the right and 6 ones on the left. 6 to 9, it needs to be even, 3 is needed and there are three boxes so it’s 1

The correct option regarding the mean of X + Y is given as follows:

a. MX+MY.

The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations.

Hence, when two variables are added, we can add their means, as we add all the observations and divide by the number of observations, considering the two variables.

This means that the correct option is given by option A.

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Answer:

80%, 41/50, 0.83

Step-by-step explanation:

80% = 0.80

41/50 = 0.82

0.83 = 0.83

Answer:

6500

Step-by-step explanation:

1.8 hours is 6,500 seconds

Answer:

3 = -4/3x + 2

Step-by-step explanation:

Slope intercept form: y = mx + b

Standard form: Ax + By = C

y = mx + b

4x + 3y = 6

3y = -4x + 6

3y/3 = -4x/3 + 6/3

3 = -4/3x + 2

Answer:

\(y=-\frac{4x}{3} +2\)

Step-by-step explanation:

Step 1: Remember slope and intercept form

Remember that slope-intercept form is y=mx+b

Step 2: Solve

Rearrage and isolate y

\(4x+3y=6\\3y=-4x+6\\y=\frac{-4x}{3}+2\)

Step 3: Therefore Statement

Therfore the slope intercept form of the equation is \(y=-\frac{4x}{3} +2\)

Yes, an acute triangle less than 90 degrees

what is acute triangle?

An acute angled triangle is one in which all of the angles are fewer than 90 degrees. One such illustration of an acute angled triangle is the one below.

Hence the triangle less than 90 degrees is acute angle

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By using algebra equation, the zeros of f(x)f(x) is ;

x = (-4 + 2i) and x = (-4 - 2i)

Given data :

This is a synthetic division shortcut. Write down the real root, then under a division symbol, the coefficients of the variables, 2, 18, 56, and 40. Drop down the 2 first, multiply by the root (-1) and add it to the next coefficient (18). 2*(-1) = -2, -2 + 18 = 16. Drop that one down. Next multiply 16 by the root, (-1) and add that to the next coefficient, 56 + (-16) = 40, drop down the 40, then lastly repeat this, multiply 40 by the root (-1) and add to the last coefficient 40 + (-40) = 0. If the remainder was not 0, then -1 would not have been a real root.

-1 | 2 18 56 40

......0 -2 -16 -40

--------------------

......2 16 40 0

Put these into another equation, (2x2 + 16x + 40)

Factoring out a 2 we get 2(x2 + 8x + 20)

The factors of 20 are 2*10 and 4*5. 2+10 = 12, 4+5 = 9, so we must use the quadratic equation to find our roots.

-8 ± √(64 - 4(20))/2 = -4 ± √(-16)/2 = -4 ± 4i/2 = -4 ± 2i

So the other two roots are x = (-4 + 2i) and x = (-4 - 2i)

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Answer:

36

Step-by-step explanation:

Any number on top, like 6^2 is multiply the number by itself accordingly to the number on top. For example, if it is 6 to the 4th, then you multiply 6 by itself 4 times, and you will get 1296. Squaring is a number multiplying to itself according to the exponet.

Answer:

6/16

Step-by-step explanation:

Answer:

uoooooohuuuuuuuuuuuihouu

Answer:

The cuberoot of negative 1728 is negative 12. I hope this helps :-)

Answer:

3/5...

Step-by-step explanation:

Just trust me

Answer:

3/5

Step-by-step explanation:

1. The quadratic function for the Area in terms of x: A(x) = 24x.

2. The cross-sectional area is maximized when the depth of the gutter is 0.

3. The maximum cross-sectional area is square inches 0.

To determine the depth of the gutter that maximizes its cross-sectional area and allows the greatest amount of water to flow, we need to follow a step-by-step process.

1. Write a quadratic function for the area in terms of x:

The cross-sectional area of the gutter can be represented as a rectangle with a width of 24 inches and a depth of x. Therefore, the area, A(x), is given by A(x) = 24x.

2. The cross-sectional area is maximized when the depth of the gutter is:

To find the value of x that maximizes the area, we need to find the vertex of the quadratic function. The vertex of a quadratic function in form f(x) = ax² + bx + c is given by x = -b/(2a). In our case, a = 0 (since there is no x² term), b = 24, and c = 0. Thus, the depth of the gutter that maximizes the area is x = -24/(2 * 0) = 0.

3. The maximum cross-sectional area is square inches:

Substituting the value of x = 0 into the quadratic function A(x) = 24x, we get A(0) = 24 * 0 = 0. Therefore, the maximum cross-sectional area is 0 square inches.

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Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.

To determine the average speed at which Sphenathi and the other matriculants must travel to reach Uptington by 09:45, we need to calculate the time available for the journey and the distance between the two locations.

The time available is from 07:25 to 09:45, which is a total of 2 hours and 20 minutes. We need to convert this time to hours by dividing by 60:

2 hours + 20 minutes / 60 = 2.33 hours

Now, let's calculate the distance between Bloemfontein and Uptington. Suppose the distance is 'd' kilometers.

We can use the formula for average speed: average speed = distance / time

In this case, the average speed should be such that the distance divided by the time is equal to the average speed.

d / 2.33 = average speed

Now, let's assume that Sphenathi and the other matriculants must travel a distance of 250 kilometers to reach Uptington. We'll substitute this value into the equation:

250 / 2.33 = average speed

To find the average speed to the nearest km/h, we'll calculate the result:

average speed ≈ 107.3 km/h

Therefore, Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.

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Answer:  Choice B

42°, corresponding angles are congruent

The angles 3 and 7 are in the same bottom left corner (aka southwest corner), which means they are one corresponding pair. Another pair would be angle 1 with angle 5 in the northwest corner. There are two other pairs. Corresponding angles are congruent when we have parallel lines like this.