You were asked to simplify the following algebraic expression:

1/4+5x+1/4

The set of solutions for the linear system is x1 = 6, x2 = 3, and x3 = -4.

The linear system is given as follows:

x1 + x2 - x3 = 6

2x1 + x2 + 2x3 = 8

3x1 + 2x2 + 3x3 = 14

To solve this system, we will use the Gauss-Jordan elimination method. First, we will subtract twice the first equation from the second equation and three times the first equation from the third equation.

2x1 + x2 + 2x3 = 8

- 2(x1 + x2 - x3 = 6)

2x1 + x2 + 2x3 = 8

3x1 + 2x2 + 3x3 = 14

- 3(x1 + x2 - x3 = 6)

0x1 + 3x2 + 5x3 = 6

Next, we will subtract three times the second equation from the third equation.

3x1 + 2x2 + 3x3 = 14

- 3(0x1 + 3x2 + 5x3 = 6)

3x1 + 2x2 - 2x3 = 8

Finally, we will divide the first equation by 1, the second equation by 3, and the third equation by -2.

x1 + x2 - x3 = 6

/ 1

x1 + (1/3)x2 + (5/2)x3 = 3

(-1/2)x1 + x2 + x3 = -4

The set of solutions for the linear system is x1 = 6, x2 = 3, and x3 = -4.

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Answer:

12 feet

Step-by-step explanation:

This example can be solved using a proportion. The ratio between the height of the girl and her shadow is equal to the ratio of the height of the tree and its shadow.

Ratio of girl height to shadow length: \(\frac{3}{7}\)

Ratio of the tree height and its shadow: \(\frac{x}{28}\)

The proportion can be written: \(\frac{3}{7}=\frac{x}{28}\)

The relationship between the denominators happens to be obvious, so this can be solved easily. 7 times 4 is 28, and since the ratios are equal, 3 times 4 must be X.

\(3\times4=12\\x=12\)

The tree is 12 feet tall!

The equation of line containing vertices (8,4) is y = 4.

Y = mx+b, where m is the slope and b is the y-intercept, is the formula for the slope-intercept form (the point where the line crosses the y-axis). Using y=mx+b to graph a line is typically simple. The standard form and the point-slope form are other formats for linear equations.

Equation of line in slope - intercept form is

y = mx + c

where m= slope

c = y - intercept

As it is given that equation of line is horizontal,

this implies

x = 0

y = m (0) + c

y = c

Now, the given coordinates are (8,4)

Slope of the equation equals 0 As the line is horizontal.

⇒ y = 0 (8) + 4

⇒ y = 4

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Answer:

nei prossimi giorni, che si è svolto il convegno

Answer:

x = 15

Step-by-step explanation:

the segment inside the triangle is an angle bisector and divides the side opposite the bisected angle into segments that are proportional to the other two sides, that is

\(\frac{x}{21-x}\) = \(\frac{25}{10}\) ( cross- multiply )

10x = 25(21 - x)

10x = 525 - 25x ( add 25x to both sides )

35x = 525 ( divide both sides by 35 )

x = 15

Answer:

17 Dimes 68 Pennies

Step-by-step explanation:

If I'm right could I get brainiest I need it for my rank

The length of the marked portion of line segment A is 25, B is 45 and C is 30.

What is line segment?

A line segment in geometry is a section of a straight line that is enclosed by two clearly defined end points and contains all of the points on the line that lie inside those endpoints. The distance between two ends of a line segment is its length. Half-open line segments contain exactly one of the endpoints while other end point is open, while closed line segments have both the endpoints closed. Open line segments do not contain any of the endpoints.

Calculation of line segment A,

75 ÷ 3 = 25

25 × 1 = 25

Therefore, the length of the marked portion of line segment A is 25

Calculation of line segment B,

75 ÷ 5 = 15

15 × 3 = 45

Therefore, the length of the marked portion of line segment B is 45

Calculation of line segment C,

50 ÷ 5 = 10

10 × 3 = 30

Therefore, the length of the marked portion of line segment C is 30

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Answer:

You're both learning the same stuff, only in different environments.

Step-by-step explanation:

It doesn't matter about the different environments you are in, you are still learning the same schoolwork that you are required to do.

Answer:

The similarity between online school and in- person is the material learned and how it is taught.  

Step-by-step explanation:

Answer:

The answer is 340 ft²

To find the total area we make two squares and a big rectangle.

1st square

3x5=15

2nd square

5x5=25

Rectangle

20x15=300

Total Area

15+25+300 = 340ft²

The value of k is 0.32 .

What is an exponential function?

The exponential function is one of the most important functions in mathematics (though it would have to admit that the linear function ranks even higher in importance). To form an exponential function, we let the independent variable be the exponent.

An exponential function is a function that usually takes the form f(x) = bˣ.

The exponential curve depends on the exponential function and it depends on the value of the x.

where;

b = base

ˣ = power

The general exponential function that models  the data given is:

\(y = ce^{kt}\)

According to the (5,5c)

\(ce^{5k} = 5c\\\\e^{5k} = 5\\\\5k = ln5\\\\k = \frac{ln5}{5} \\\\k = 0.32\)

Hence , the value of k is 0.32 .

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Answer:

15.7 km

Step-by-step explanation:

arc length = 2πr(θ/360)

= 2 × 3.14 × 10 × (90/360)

= 15.7 km

The length of the arc of the sector will be 15.7 km.

Curve restoration is the task of evaluating the length of such an uneven arc component by approximating the arch segment as linked line segments.

Let r is the radius of the sector and θ be the angle subtended by the sector at the center. Then the arc length of the sector of the circle will be

Arc = (θ/360) 2πr

The radius of the sector will be 10 km and the angle at the center is 90°. Then the length of the arc will be given as,

Arc = (90/360) 2π(10)

Arc = (1/4) 20π

Arc = 5 × 3.14

Arc = 15.7 km

The length of the arc of the sector will be 15.7 km.

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Answer:

Time taken by the un powered raft to cover this distance is T = 192.12 hr

Step-by-step explanation:

Let speed of boat = u

Speed of current = v

Let distance between A & B = 100 km

Time taken in downstream = 32 hours

u + v = 3.125 ------ (1)

Time taken in upstream = 48 hours

u - v = 2.084 ------- (2)

By solving equation (1) & (2)

u = 2.6045

v = 0.5205

Now the time taken by the un powered raft to cover this distance

Because un powered raft travel with the speed of the current.

T = 192.12 hr

Therefore the  time taken by the un powered raft to cover this distance is

T = 192.12 hr

Answer:

\(6\text{ mph}\)

Step-by-step explanation:

To find the the distance between A and B, use \(d=rt\), where \(d\) is distance, \(r\) is rate/speed, and \(t\) is time.

The raft travels from A to B in 6 hours at a rate of 3 mph. Thus, the distance from A to B must be:

\(d=3\cdot 6=18\) miles.

Since the motorboat travels the same distance in 2 hours, its rate/speed must be:

\(18=2r,\\r=\frac{18}{2}=9\text{ mph}\)

Because the raft is drifting, the speed of the current must be \(3\text{ mph}\) in the direction of the raft (from A to B). Thus, let the motorboat's speed be \(m\):

\(m+3=9,\\n=\boxed{6\text{ mph}}\)

The expressions that will correctly calculate what percent 19 is of 20 are:

A.19/20 .100

D.19.100/20

The concept that will be used here is percentage. A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means.

From the options we can see that to find the percentage of 19  of 20, iot can be expressed mathematically as :

(19/20) *100 and this can as well be expressed as (19*100)/20 becausethey will still give use the same value which is 95%

Therefore, option A and D are correct.

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Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

The mean is 0.477514 (rounded to 6 decimal places).

The standard deviation is 0.288919 (rounded to 6 decimal places).

To calculate the mean and standard deviation, we will use the following formulas:

Mean = (sum of all values) / (number of values)

Standard deviation = sqrt[(sum of (value - mean)^2) / (number of values)]

Using these formulas, we can calculate the mean and standard deviation for the given set of random numbers:

Mean = (0.937776 + 0.270012 + 0.243785 + 0.590701 + 0.824982 + 0.131805 + 0.879337 + 0.741998 + 0.254683 + 0.080259 + 0.419321 + 0.928220 + 0.958430 + 0.980182 + 0.263900 + 0.063119 + 0.762096 + 0.485612 + 0.662900 + 0.362242 + 0.724796 + 0.307736 + 0.305021 + 0.417052 + 0.054337 + 0.323357 + 0.069662 + 0.843387 + 0.353107 + 0.074262 + 0.735596 + 0.175095 + 0.390508 + 0.668932 + 0.029861 + 0.205228 + 0.387740 + 0.962169 + 0.646565 + 0.423914 + 0.754782 + 0.156719 + 0.773113 + 0.546335 + 0.323573 + 0.649740 + 0.214082 + 0.382383 + 0.383982 + 0.030539) / 50 = 0.477514

Therefore, the mean is 0.477514 (rounded to 6 decimal places).

Now we will calculate the standard deviation:

Standard deviation = sqrt[((0.937776 - 0.477514)^2 + (0.270012 - 0.477514)^2 + (0.243785 - 0.477514)^2 + ... + (0.382383 - 0.477514)^2 + (0.383982 - 0.477514)^2 + (0.030539 - 0.477514)^2) / 50] = 0.288919

Therefore, the standard deviation is 0.288919 (rounded to 6 decimal places).

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Answer:

gh(b)

Step-by-step explanation:

Answer:

shifted to the right

Step-by-step explanation:

Answer:

32.5 feet long and 20 feet wide

Step-by-step explanation:

To solve for the length first, you have it measured as 26 in long and each 4 in is 5 ft so you can go ahead and divide 26 in by 4 in and that gives you 6.5 in so what we did was figure out how many 4 in were in 26 in and therefore we have a 6.5 and so just to match that to the 5 ft per each 4 in (in this case we have 6.5) so we multiply 6.5*5 and that equals 32.5 ft which is the length of the garden bed.

Next we are going to solve for the width which is 16 in wide in the scale and so again each 4 in is 5 ft so here again we're going to divide 16 in by 4 in and that equals 4 in and so again each 4 in is 5 ft so we're going to go ahead and multiply 4 * 5 and that gets you 20 ft which is the width of the garden bed.

Answer:

3/4(n)+1

3/4(8)+1=

6+1=7

3/4(12)+1=

9+1=10

3/4(14)+1=

10.5+1=11.5

3/4(20)+1=

15+1=16

I hope this helps:

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

To find out how many of the 39 practice trials would be faster than 62 seconds, we need to calculate the proportion of trials that fall within the range of more than 62 seconds.

We can use the z-score formula to standardize the values and then use the standard normal distribution table (also known as the z-table) to find the proportion.

The z-score formula is:

z = (x - μ) / σ

Where:

x = value (62 seconds)

μ = mean (61 seconds)

σ = standard deviation (1.5 seconds)

Calculating the z-score:

z = (62 - 61) / 1.5

z ≈ 0.6667

Now, we need to find the proportion of values greater than 0.6667 in the standard normal distribution table.

Looking up the z-score of 0.6667 in the table, we find the corresponding proportion is approximately 0.7461.

To find the number of trials faster than 62 seconds, we multiply the proportion by the total number of trials:

Number of trials = Proportion * Total number of trials

Number of trials = 0.7461 * 39

Number of trials ≈ 29.08

Rounding to the nearest whole number, approximately 29 of the 39 practice trials would be faster than 62 seconds.

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Answer:

44 dollars

Step-by-step explanation:

28 minus 5 is 23

67 minus 23 is 44

Answer:

It takes one minute for both of them to eat one scoop.

Step-by-step explanation:

How long does it take them to eat 1 scoop of ice cream working together?

Jada: 2/5 = 0.4 per minute

Noah: 3/5 = 0.6 per minute

0.4+0.6 = 1 scoop per minute

How long does it take for Noah to eat his 3 scoops of ice cream in 5 minutes?

5 minutes???

Answer:

The answer is increased by 9

Step-by-step explanation:

Answer:

Step-by-step explanation:

this triangle is regular one

Answer:

obtuse scalene triangle

Answer:

292.4 you just times them

Step-by-step explanation:

83 x 3.4=292.4

Hello !

Answer :

Explanation :

\( \to \boxed{ ({x}^{a}) {}^{b} = {x}^{ab} } \)

\( \to \boxed{ {x}^{ \frac{1}{n} } {}^{} = \sqrt[n]{x} } \)

\( ({x}^{4} ) {}^{ - \frac{2}{3} } = {x}^{- \frac{2}{3} \times 4} \\ \boxed{= {x}^{ - \frac{8}{3} } } \\ \boxed{= \sqrt[3]{ {x}^{ - 8} }} \\ \boxed{ = \sqrt[3]{ ({x}^{ 4}) {}^{ - 2} }}\)

Have a nice day ;)

Answer: 0.771 you are welcome