what is the value of thia expreasion 6(5×5-5)​

The ratios that could be the lengths of the two legs in a 30-60-90 triangle are √3:3 (option E) and 12√3 (option D).

In a 30-60-90 triangle, the angles are in the ratio of 1:2:3. The sides of this triangle are in a specific ratio that is consistent for all triangles with these angles. Let's analyze the given options to determine which ones could be the ratio between the lengths of the two legs.

A. √2:√2

The ratio √2:√2 simplifies to 1:1, which is not the correct ratio for a 30-60-90 triangle. Therefore, option A is not applicable.

B. 15

This is a specific value and not a ratio. Therefore, option B is not applicable.

C. √√√√5

The expression √√√√5 is not a well-defined mathematical operation. Therefore, option C is not applicable.

D. 12√3

This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which simplifies to √3:3. Therefore, option D is applicable.

E. √3:3

This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which is equivalent to √3:3. Therefore, option E is applicable.

F. √2:√5

This ratio does not match the ratio of the sides in a 30-60-90 triangle. Therefore, option F is not applicable. So, the correct option is D. 1 √2.

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The AER corresponding to the nominal rate of discount d^(12) = 7% per annum is 6.87%

In order to determine the AER corresponding to the nominal rate of discount d^(12) = 7% per annum, we can use the formula:

AER = (1 - d/12)^(12) - 1

Where AER stands for Annual Equivalent Rate and d is the nominal rate of discount.

Substituting the given values, we get:

AER = (1 - 0.07/12)^(12) - 1

AER = 0.0687 or approximately 6.87%

Therefore, the annual effective rate (AER) corresponding to the nominal rate of discount d(12) = 7% is 6.87%.

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The length z for this problem is defined as follows:

z = 6.

Similar triangles are triangles that share these two features presented as follows:

Considering the similar triangles and the equivalent side lengths, the proportional relationship for this problem is given as follows:

z/3 = 8/4

Applying cross multiplication, the value of z is obtained as follows:

4z = 8 x 3

4z = 24

z = 24/4

z = 6.

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The slope of the given data of linear function is 3.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope of the line is defined as the ratio of the rise to the run of the line.

Given that the data is,

x             y

4            10

-11          -35

7            13

-23        -47

The slope of the linear function will be calculated as:-

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( -35 - 10 ) / ( -11 - 4 )

Slope = (-45 / -15)

Slope = 3

Therefore, the slope will be 3.

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Answer:

(1,6) and (-4,0)

Step-by-step explanation:

because it has the left unit 2 in resultant image and unit 1 as the upward reaction and both has the 90 degrees clockwise

the answer is B i got it right

Answer:

2.9

Step-by-step explanation:

11.6 divided by 4 equals 2.9

Answer:

2.9 :)

Step-by-step explanation:

Answer:

The least degree of the polynomial that assures an error smaller than 0.001 is 4.

The Lagrange error bound for the Taylor polynomial of degree n centered at x=2 for e^x is given by:

```

|e^x - T_n(x)| < \frac{e^2}{(n+1)!}|x-2|^{n+1}

```

where T_n(x) is the Taylor polynomial of degree n centered at x=2.

We want the error to be less than 0.001, so we have:

```

\frac{e^2}{(n+1)!}|x-2|^{n+1} < 0.001

```

We can solve for n to get:

```

n+1 > \frac{e^2 \cdot 1000}{|x-2|}

```

We know that |x-2| = 0.45, so we have:

```

n+1 > \frac{e^2 \cdot 1000}{0.45} \approx 6900

```

Therefore, n > 6899.

The least integer greater than 6899 is 6900, so the least degree of the polynomial that assures an error smaller than 0.001 is 4.

The fourth-degree Taylor polynomial centered at x=2 for e^x is given by:

```

T_4(x) = 1 + 2x + \frac{x^2}{2} + \frac{x^3}{6} + \frac{x^4}{24}

```

We can use this polynomial to estimate e^1.45 as follows:

```

e^1.45 \approx T_4(1.45) = 4.38201

```

The actual value of e^1.45 is 4.38202, so the error in this approximation is less than 0.001.

Step-by-step explanation:

Answer:

x = - 4

Step-by-step explanation:

Given the 2 equations

y = - 2x - 5 → (1)

y = x + 7 → (2)

Substitute y = x + 7 into (1)

x + 7 = - 2x - 5 ( add 2x to both sides )

3x + 7 = - 5 ( subtract 7 from both sides )

3x = - 12 ( divide both sides by 3 )

x = - 4

Answer:

27 Chairs (See below)

Step-by-step explanation:

A: You will put 9 chairs in each row, and have 3 rows.

For a visual example I will use the symbol "O" for the number of chairs.

OOOOOOOOO

OOOOOOOOO

OOOOOOOOO

B: The multiplication problem, using the information 3 Rows, and 9 Chairs in each row, is 9x3

C: The factors are the numbers you are multiplying with, and the product, is your outcome when you multiply the two factors, 9, and 3.

So your answer is 27.

Hope this helps!

Answer: 50%

Step-by-step explanation:

I'm converting 7kg to grams to make it easier. So £10 = 7000g

£1 = 7000÷10 = 700g

700g÷2 = 350g and if you follow the ratios on top, she payed 50p per 350g

She sells a bag of 350g for 75p.

Percentage profit=\(\frac{Change in cost}{original cost}\) × 100

75p - 50p = 25p = change in cost

Percentage profit= \(\frac{25}{50}\) × 100

= 50%

Answer:

(B) 10

Step-by-step explanation:

Rate of change is basically slope

So the slope here is 10/1 so the rate of change is 10

Answer:

(B) 10

Step-by-step explanation:

P1 = (4, 40)

P2 = (0, 0)

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

= 40/4

= 10

Answer:

i)= 98     ii)= 9602

Step-by-step explanation:

hope it helps

Answer:

US$1 = 0.74 pound

Step-by-step explanation:

518 pounds = 700 dollars

Divide both sides by 700.

518/700 pounds = 700/700 dollars

0.74 pound = 1 dollar

Answer: US$1 = 0.74 pound

1. Inverse of F=9/5C+32 is C=5/9(F-32)

2. 100 F = 37.8 C

3. 30 C = 86 F

To find the inverse of

F = 9/5C+32,

we need to solve for C. First, subtract 32 from both sides of the equation to get

F-32 = 9/5C.

Then, multiply both sides by 5/9 to isolate C, giving us

C = 5/9(F-32).

This is the inverse function.

To find the temperature in Celsius that corresponds to 100 degrees Fahrenheit, we can use the inverse function. Substituting F=100 into

C = 5/9(F-32), we get

C = 5/9(100-32) = 37.8 degrees Celsius.

To find the temperature in Fahrenheit that corresponds to 30 degrees Celsius, we can use the original equation. Substituting C=30 into

F=9/5C+32,

we get

F = 9/5(30)+32 = 86 degrees Fahrenheit.

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Complete Question:

F=9/5C+32, what would be its inverse? What temperature in C corresponds to 100 F? What temperature in F corresponds to 30 C?

Answer:

A ; 21

Step-by-step explanation:

Here, the side facing the right angle is the hypotenuse and it has a measure of length 42

The side facing the missing angle is the opposite and it has a length of 15

The trigonometric ratio that connects the hypotenuse and the opposite is the sine

The sine of an angle is the ratio of the opposite to the hypotenuse

Thus;

sine ? = 15/42

sine ? = 0.357

? = arc•sim 0.357

? = 21 degrees

If the number is rounded to the nearest hundred, then the last two digits of the number are replaced with zeros. For example, if the original number is 456, the rounded number to the nearest hundred would be 500.

If the rounded number has zeros, then this means that the last two digits of the original number were already zeros. In other words, the original number was already a multiple of 100.

For example, if the original number was 200, rounding to the nearest hundred would give 200, which has one zero. Similarly, if the original number was 1,000, rounding to the nearest hundred would give 1,000, which has three zeros.

Therefore, the answer to the question depends on the original number being rounded. If the original number was already a multiple of 100, then the rounded number will have zeros. If the original number was not a multiple of 100, then the rounded number may or may not have zeros, depending on the specific digits in the number.

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If the price is $180 per square foot, the price of the lot will be $3,240,000

To calculate Xavier cost, we need to first calculate the area of the lot (trapezium)

Area of the trapzium = 1/2(a+b)h

Area of the trapezium =  1/2(175+185)*100

Area of the trapezium = 1/2(360)*100

Area of the trapezium = 18000 square foot.

If the price is $180 per square foot, the price of the lot will be 18000 * 180 = $3,240,000

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Answer:

B and c

We can solve for x in the inequality just like you do when solving algebra equations of an = sign.

x + 30 < 60

x + 30 - 30 < 60 -30

x < 30

Step-by-step explanation:

\(x + 30 <60 \\x<60-30\\x<30\)

EXPLAINATION: x < 30

A. x = 1 < 30 <right>

B. x = 29 < 30 < right>

C. x = 45 > 30 <wrong>

D. x = 50 > 30 <wrong>

E. x = 300 > 30 <wrong>

F. x = 30 = 30 <wrong>

ANSWER : A and B

ok done. Thank to me :>

Answer: x=12y/-8-3

Step-by-step explanation: image below

The proportion of patients who died in the treatment group is 65.2% and the proportion of patients who died in the control group is 88.2%.

In the Stanford Heart Transplant Study, the proportions of patients who died in the treatment and control groups are as follows:
Of the 34 patients in the control group, 4 were alive at the end of the study.

For the treatment group, 45 out of 69 patients died.

Therefore, the proportion of patients who died in the treatment group is 45/69, which is approximately 0.652 (65.2%).
For the control group, 30 out of 34 patients died.

Therefore, the proportion of patients who died in the control group is 30/34, which is approximately 0.882 (88.2%).

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40 = 5X

X = 10 dollars

Now divide 40/5 = 8

On average, each girl spends $8 dollars

Now write an inequality ,for this situation

5X ≤ 40

(a + b + c + d + e)/5 = 40

Based on the given side lengths of 8, 11, and 12, none of them are equal. Therefore, we can classify the triangle as a Scalene Triangle.

To classify a triangle by its angles and sides, we can use the properties and definitions of different types of triangles. Let's analyze the given triangle with sides measuring 8, 11, and 12 and angles measuring 45 degrees, 65 degrees, and 70 degrees.

Classification by angles:

Acute Triangle: An acute triangle has all three angles less than 90 degrees.

Obtuse Triangle: An obtuse triangle has one angle greater than 90 degrees.

Right Triangle: A right triangle has one angle exactly 90 degrees.

Based on the given angles of 45 degrees, 65 degrees, and 70 degrees, none of them are greater than 90 degrees, so we can classify the triangle as an Acute Triangle.

Classification by sides:

Equilateral Triangle: An equilateral triangle has all three sides of equal length.

Isosceles Triangle: An isosceles triangle has two sides of equal length.

Scalene Triangle: A scalene triangle has all three sides of different lengths.

Based on the given side lengths of 8, 11, and 12, none of them are equal. Therefore, we can classify the triangle as a Scalene Triangle.

In summary, based on the given measurements, the triangle can be classified as an Acute Scalene Triangle. We determined this by comparing the angles to the definitions of acute, obtuse, and right triangles, and comparing the side lengths to the definitions of equilateral, isosceles, and scalene triangles.

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The amount of simple interest earned on a $970 investment after 2 years at a semi-annual interest rate of 2% is $19.40.

We may use the simple interest formula, which is: to determine how much simple interest was gained on a $970 investment after two years at a 2% semi-annual interest rate.

I = P * r * t

where I equals interest accrued

Principal (P) (the initial investment)

r = annual interest rate (in decimal form)

T is the duration in years.

As the interest rate is stated as a semi-annual rate, we must double the time period by two and divide the interest rate by two to convert them to years.

When we enter the specified values into the formula, we obtain:

I = $970 * 0.02/2 * 2 = $19.40

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The given graph shows the unit rate of 60 kilometers per hour. Option C is correct.

Given that,
The graph shows a proportional relationship.

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

here,
From the graph, the relation is deduced as,
y = 60x
where 60 represents the unit rate in kilometers per hour,

Thus, the given graph shows the unit rate of 60 kilometers per hour. Option C is correct.

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Answer:

I think the final cost would be:

562.86

Step-by-step explanation:

:))

Bryant Industries uses forecasting to estimate the number of orders that will be placed by their customers. The table below gives the sales figures for the last four months.Month2345Sales92491942004There are different forecasting techniques used by companies like Bryant Industries to predict future sales.

One of the most widely used methods is the time-series method. This method is particularly useful when the demand for a product or service changes over time and when there are no external factors that affect the sales. In this case, we can use a time-series method called the moving average to estimate future sales. The moving average is a time-series method that uses the average of past sales data to estimate future sales. It is particularly useful when there are no external factors that affect the sales. In this case, we can use a 3-month moving average to estimate future sales. The 3-month moving average is calculated as follows: (924 + 919 + 420) / 3 = 754.33. This means that we can expect sales of around 754 units next month. The moving average method is easy to use and is a good way to get a quick estimate of future sales. However, it has some limitations. For example, it does not take into account external factors that may affect sales, such as changes in the economy or in consumer behavior.

In conclusion, Bryant Industries can use the moving average method to estimate future sales. However, they should also consider other factors that may affect sales, such as changes in the economy or in consumer behavior. By doing so, they can make more accurate forecasts and improve their overall performance.

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Answer:

x = 26.5

y = 12.0

z = 13.4

Step-by-step explanation:

✔️To find x, apply the leg rule, which is:

Hypotenuse/leg = leg/part

Hypotenuse = 30

Leg = x

Part = 30 - 6 = 24

Plug in the values into the equation

30/x = x/24

Cross multiply

x² = 30*24

x² = 720

x = √720

x = 26.5 (nearest tenth)

✔️Apply the triangle altitude theorem to find y:

Based on the theorem, h = √(ab)

Where,

a = 6

b = 30 - 6 = 24

h = y

Plug in the values

y = √(6*24)

y = √144

y = 12

✔️Apply the leg rule, Hypotenuse/leg = leg/part to find z:

Hypotenuse = 30

Leg = z

Part = 6

Plug in the values into the equation

30/z = z/6

Cross multiply

z² = 30*6

z² = 180

z = √180

z = 13.4 (nearest tenth)

The statement given by Lester is true, he can terminate the contract as Jessie didn't follow the protocol.

What is Contract?

A contract is an agreement between parties, creating mutual obligations that are enforceable by law. The basic elements required for the agreement to be a legally enforceable contract are: mutual assent, expressed by a valid offer and acceptance; adequate consideration; capacity; and legality.

A promise by one party to another that they will or will not perform a specific action in the future. Example: I will pay you $3,500 for the purchase of your vehicle. Acceptance . Usually mirrors the terms of the offer—an expression, through words or deeds, that both parties agree to the terms of the contract

So, the answer is true since Lester have the authority to terminate the agreement due to a substantial breach.

Thus, the given statement is true.

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