Order from least to greatest:
-5/6,0.567,-0.11,-1/4

Answer:

0.624

Step-by-step explanation:

The required value of the F in the matrix is given as -8. Option B is correct.

Given that,
A system of equations is given, convert the equation into matrix form, and determine the corresponding value of the F.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
-2x + 5y -3z = -25
-4x - 3y - 8z = -39
6x + 8y - 5z = 14

Converting the above system of equations in the matrix form,
\(\left[\begin{array}{ccc}-2&5&-3\\-4&-3&-8\\6&8&-5\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}-25\\-39\\14\end{array}\right]\)
Now compare the above matrix with the given matrix, where F = -8

Thus, the required value of the F in the matrix is given as -8. Option B is correct.

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The correct option for the expression (5 + 9) + 10 showing the associative property is  5+ (9 + 10) = 5 + 19 = 24

The associative property of addition states that the sum of three or more numbers remains the same regardless of how the numbers are grouped.

Given that, an expression, (5 + 9) + 10

According to associative property of addition, (a+b)+c = a+(b+c)

Therefore,

(5 + 9) + 10 = 5+(9+10)

= 5+19

= 24

Hence, the correct option for the expression (5 + 9) + 10 showing the associative property is  5+ (9 + 10) = 5 + 19 = 24

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Answer:

C: EAF Is the correct answer

Answer:

WR ≈ 13.862

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

WR² + RT² = WT²

WR² + 12.1² = 18.4²

WR² + 146.41 = 338.56 ( subtract 146.41 from both sides )

WR² = 192.15 ( take the square root of both sides )

WR = \(\sqrt{192.15}\) ≈ 13.862 ( to the nearest thousandth )

Answer:

C

Step-by-step explanation:

D: {-3,0,1,3}

R: {-5,-4,1,5}

9514 1404 393

Answer:

  1. f'(x) = 0

  3. f'(x) = -2x^-3

  9. f'(x) = 10/9∛x

  12. 2/3x^(-1/3) +5 +5x^7

Step-by-step explanation:

The two basic rules being used here are ...

  d(au)/dx = a(du/dx) . . . . . multiplication by a constant

  d(u^n)/dx = n·u^(n-1)·du/dx . . . . . power rule

In each case, u can be any function of x.

__

When radicals are involved, it is often useful to write the root as an exponent. Then application of the power rule is more obvious.

In problem 14, it is convenient to do the multiplication before the differentiation. Otherwise the product rule gets involved, and the answer is a bit messy before being simplified.

Since these all use the power rule, we have shown a few examples. Where fractional or negative exponents are involved, you can simplify in the usual way, and write using radicals as you may choose. Here, we're really only concerned with a proper expression of the derivative.

  1. f'(x) = 0

  3. f'(x) = -2x^-3 . . . . . . . . . compare to problem 7

  9. f'(x) = 10/9∛x

  12. 2/3x^(-1/3) +5 +5x^7

_____

Additional comment

Another way to write the power rule is ...

  d(x^n)/dx = (n·x^n)/x

This can be useful when n is a fraction or less than 1. For example, in problem 12, it keeps the radical out of the denominator, effectively eliminating a simplification step.

Answer:

on the sheet

2) 3x^2

4) 24x^2

5) 2

6) 5/12x^1/4

7) -10x^-6 or -10/x^6

8) 4/3x^1/3

10) 2x+5

11) 2x

13) 1/2x or x/2

14) 42x^6

Step-by-step explanation:

Scores between 23 & 59 will give Paul a C for the semester (an average between 70 and 79).

The sum of the scores on the first three, hundred point tests

= 82 + 88 + 87 = 257.

The total score required in four 100-point tests to get an average score of 70 = 70X4= 280.

The total score required in four 100-point tests to get an average score of 79 = 79X4= 316.

Therefore, the score on the fourth test should be between (280-257) & (316-57) i.e, 23 & 59 to get an average score of 70 & 79.

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Answer:

2. Definition of Midpoint

3. Vertical Angles Theorem

Step-by-step explanation:

Definition of Midpoint is the middle point of a line segment

Vertical Angles Theorem is proving angles that are opposite each other and formed by two intersecting straight lines, are congruent.

Answer:

5216.844

Step-by-step explanation:

Let x be the fourth number.

We know that the sum of the four numbers is 20500:

2341.578 + 10690 + x + 2341.578 = 20500

Simplifying and solving for x:

x = 20500 - 2341.578 - 10690 - 2341.578

x = 5216.844

Answer:

first one is A second on is C third is B fourth is B HOPE THIS HELPS

Answer:

1. A

2.C

3.B

4.B

Step-by-step explanation:toke test

Joey's actual speed is 143.59 mph, and his actual direction is slightly west of northwest.

Given that Joey's aircraft speed: 188 mph

Wind speed: 60 mph

Wind direction: 150 degrees (measured clockwise from due north)

We can consider the wind as a vector, which has both magnitude (speed) and direction.

The wind vector can be represented as follows:

Wind vector = 60 mph at 150 degrees

We convert the wind direction from degrees to a compass bearing.

Since 150 degrees is measured clockwise from due north, the compass bearing is 360 degrees - 150 degrees = 210 degrees.

Joey's aircraft speed vector = 188 mph at 0 degrees (due northwest)

Wind vector = 60 mph at 210 degrees

To find the resulting velocity vector, we add these two vectors together. This can be done using vector addition.

Converting the wind vector into its x and y components:

Wind vector (x component) = 60 mph × cos(210 degrees)

= -48.98 mph (negative because it opposes the aircraft's motion)

Wind vector (y component) = 60 mph×sin(210 degrees)

= -31.18 mph (negative because it opposes the aircraft's motion)

Now, we can add the x and y components of the two vectors to find the resulting velocity vector:

Resulting velocity (x component) = 188 mph + (-48.98 mph) = 139.02 mph

Resulting velocity (y component) = 0 mph + (-31.18 mph) = -31.18 mph

Magnitude (speed) = √((139.02 mph)² + (-31.18 mph)²)

= 143.59 mph

Direction = arctan((-31.18 mph) / 139.02 mph)

= -12.80 degrees

The magnitude of the resulting velocity vector represents Joey's actual speed, which is approximately 143.59 mph.

The direction is given as -12.80 degrees, which indicates the deviation from the original northwest direction.

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The value of x in the triangle is 10

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted by triangle ABC.

The sum of the three angles in a triangle is 180°.

Therefore

(5x - 5)° + 8x + (6x - 5) =180

5x-5+8x+6x-5 = 180

collect like terms

5x+8x+6x-5-5 = 180

19x = 180+10

19x = 190

divide both sides by 19

x = 190/19

x= 10

therefore the value of x is 10

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The required percentage of a 50-year-old woman have a systolic blood pressure between 130 mmHg. and 170 mmHg is 95.44%.

Given that,
The systolic blood pressure of women is normally distributed with a mean of 150 mmHg. and a standard deviation of 10 mmHg.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
z = [ x - μ]/σ
Accoding to the question,

= p[z < (170-150)/10] -  p[z < 130-150/10]
= p [z <2] - p [z < -2]
= 0.9772 - 0.0228
= 95.44%

Thus, the required percentage of a 50-year-old woman have a systolic blood pressure between 130 mmHg. and 170 mmHg is 95.44%.

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The product obtained by multiplying the numbers 0.102 and 7.3 is 0.7446.

Multiplication is one of the most elementary mathematical operations along with addition, subtraction, and division. Two numbers on being multiplied yield a number known as their product.

The multiplication of two decimal numbers always results in a decimal number.

The given numbers are 0.102 and 7.3.

The decimal 0.102 can be written as a fraction as follows:

\(0.102 = \dfrac{102}{1000}\)

        \(= \dfrac{51}{500}\)

The decimal 7.3 can be written as a fraction as follows:

\(7.3 = \dfrac{73}{10}\)

The product of both numbers is obtained as follows:

\(0.102 \times 7.3 = \dfrac{51}{500}\times \dfrac{73}{10}\)

                 \(= \dfrac{51\times73}{500\times10}\\= \dfrac{3723}{5000}\\= 0.7446\)

Thus, the given numbers on multiplication give 0.7446.

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Answer:

he would be able to ride 4 miles

Step-by-step explanation:

20/5=4

The biker ride 4 miles in one hour.

The slope of a line can be calculated using the formula:

Slope = (change in y-coordinates) / (change in x-coordinates)

We can take two point from the graph as (0, 0) and (2, 8)

So, Slope = (change in y)/ (change in x)

Now, putting the values as

Slope= (8-0)/ (2-0)

Slope= 8/2

slope= 4

Thus, the biker ride 4 miles in one hour.

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Answer:

the are so many numbers but here's one of them

Step-by-step explanation:

Since the number is less than 700, it cannot begin with a 7 or an 8.

So the hundreds digit can only be a 2 or a 5.

Now the tens digit can be any digit not occupying the hudreds digit. So there would be 3 possibilities, and there remain two possibilities for the units digit.

Hence, the number of such numbers is 2x3x2 which is 12.

The number of two-digit or three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 will be 150.

A sample is a group of clearly specified components. The number of items in a finite set is denoted by a curly bracket.

The number of two-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,

⇒ 5 x 5

⇒ 25

The number of three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,

⇒ 5 x 5 x 3

⇒ 125

The number of two-digit or three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,

⇒ 125 + 25

⇒ 150

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Answer:

2,100 sec

Step-by-step explanation:

Answer:

2100seconds

Step-by-step explanation:

♪＼(*＾▽＾*)／＼(*＾▽＾*)／

Given statement solution is :-

1) Gather your electricity bills from the period before the summer break.

2) Create a comprehensive list of all the electrical appliances used in your home.

Include major appliances like air conditioners, refrigerators, washing machines, and smaller devices like televisions, computers, and lights.

3) Research or locate the power consumption information for each appliance.

4) Identify areas where energy consumption can be reduced, such as:

Turning off lights when not in use.

Setting air conditioner temperatures at an optimal level.

Using energy-efficient appliances.

5) After the summer break, collect your electricity bill for the corresponding period.

6) Include details about your energy reduction plan, the changes implemented, and the resulting impact on energy consumption and cost.

Provide recommendations for further improvements or adjustments to achieve even greater sustainability.

To conduct a comparative study of consecutive electric bills and analyze the impact of a reduction plan, you can follow the steps below:

Examine your electricity bills of pre-summer break:

Gather your electricity bills from the period before the summer break.

Look for details such as total energy consumption (in kilowatt-hours or kWh), billing period, and the cost per unit of electricity.

List the various electrical appliances used in your home:

Create a comprehensive list of all the electrical appliances used in your home.

Include major appliances like air conditioners, refrigerators, washing machines, and smaller devices like televisions, computers, and lights.

Find out the power consumption and duration for each device in use:

Research or locate the power consumption information for each appliance.

This information is typically provided on the appliance itself or in the user manual.

Note down the power rating of each device in watts (W) or kilowatts (kW).

Estimate the average duration each device is used daily in hours (e.g., 2 hours for a television, 8 hours for a refrigerator).

Calculate the estimated electricity consumption and cost:

Multiply the power rating (in kW) of each device by its average daily usage (in hours) to find the daily energy consumption (in kWh).

Multiply the daily energy consumption by the number of days in the billing period to get the total energy consumption for that period.

Multiply the total energy consumption by the cost per unit of electricity to calculate the estimated cost for each appliance.

Sum up the estimated costs for all appliances to get the total estimated electricity bill.

Make an energy reduction plan and determine implementation:

Identify areas where energy consumption can be reduced, such as:

Turning off lights when not in use.

Setting air conditioner temperatures at an optimal level.

Using energy-efficient appliances.

Unplugging devices when not in use.

Determine the feasibility of implementing these energy reduction measures in your home.

Re-examine your electricity bill of post-summer break:

After the summer break, collect your electricity bill for the corresponding period.

Calculate the actual energy consumption and cost using the same method as in step 4.

Compare the actual post-summer break bill with the estimated pre-summer break bill.

Note any changes in energy consumption and cost, and analyze the effectiveness of your energy reduction plan.

Document your reduction plan and changes in the bill:

Write a report summarizing your findings and observations.

Include details about your energy reduction plan, the changes implemented, and the resulting impact on energy consumption and cost.

Provide recommendations for further improvements or adjustments to achieve even greater sustainability.

By following these steps, you can conduct a comparative study of consecutive electric bills, analyze the effectiveness of your energy reduction plan, and track changes in energy consumption and costs.

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Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

Answer:

\(C = 2\pi r\\\)

Step-by-step explanation:

\(Circumference = 2\times \pi \times r\)

Let's denote the amount Jolene invested at 3 percent interest as 'x' dollars. Since she put twice as much in the lower-yielding account, the amount she invested at 9 percent interest would be '2x' dollars.

To calculate the interest earned from each account, we'll use the formula: Interest = Principal × Rate × Time.

For the 3 percent interest account:

Interest_3_percent = x × 0.03

For the 9 percent interest account:

Interest_9_percent = 2x × 0.09

We know that the total annual interest is $3120, so we can set up the equation:

Interest_3_percent + Interest_9_percent = 3120

Substituting the above equations, we have:

x × 0.03 + 2x × 0.09 = 3120

Simplifying the equation:

0.03x + 0.18x = 3120

0.21x = 3120

Dividing both sides of the equation by 0.21:

x = 3120 / 0.21

x = 14857.14

Therefore, Jolene invested approximately $14,857.14 at 3 percent interest and twice that amount, $29,714.29, at 9 percent interest.

Answer:

Step-by-step explanation:

X is the amount invested at 6%

Y is the amount invested at 9%

0.06X + 0.09Y = 4998

X = 2Y

0.06(2Y) + 0.09Y  = 4998

.12Y + 0.09Y = 4998

0.21Y = 4998

21Y = 499800

Y = 499800/21 = 23800

So X = 2*23800 = 47600

$47,600 is invested at 6% and $23800 is invested at 9%

Answer:

50,000 millimeters

Step-by-step explanation:

Hope this helps : ) I have no explanation but it's correct

Step-by-step explanation:

\(0 \leqslant b \leqslant - 4\)

it should look like that

The possible rational zeros of the given polynomial are given by: p/q = ±1, ±2, ±3, ±6

What is a polynomial ?

Polynomial can be defined as expression in which combination of variables and coefficients

A rational zero of a polynomial is a rational number that, when plugged into the polynomial, results in zero. To find all possible rational zeros of a polynomial, we can use the Rational Root Theorem.

According to the Rational Root Theorem, if a rational number "p/q" is a zero of a polynomial, where p and q are integers and q ≠ 0, then p must be a factor of the constant term (in this case, 6) and q must be a factor of the leading coefficient (in this case, 2).

So, the possible rational zeros of the given polynomial are given by:

p/q = ±1, ±2, ±3, ±6

We can then test each of these values to see if they are actually zeros of the polynomial. To do this, we simply plug in the value and simplify. If the result is zero, then the number is indeed a zero of the polynomial.

For example, plugging in p/q = -1, we get:

2(-1)^5 + 4(-1)^4 - 3(-1)^2 + (-1) - 6 = 2 - 4 - 3 + 1 - 6 = -14,

which is not equal to zero, so -1 is not a zero of the polynomial.

By testing each of the possible rational zeros in a similar way, we can determine which ones are actually zeros of the polynomial.

Therefore,  The possible rational zeros of the given polynomial are given by: p/q = ±1, ±2, ±3, ±6

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Answer:

Oh it's common in all countries.

Answer:

345

Step-by-step explanation: