Work out the area of this circle.
Take pie to be 3.142 and write down all the digits given by your calculator.

Answer:

2.4-14.9=12.5

Step-by-step explanation:

The expression √9x³/25y² when simplified gives the result 3x³/25y².

The given expression is √9x³/25y².

In the expression, calculate the square root of 9.

As a result, we have the following expression.

⇒ 3x³/25y²

The above expression cannot be simplified any further.

Therefore, the simplified expression is 3x³/25y².

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The system is consistent and independent.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We have the system of equations:

y = 4x - 4

y = -4x + 4.

Let's take the quotient between both the equations as;

(y/y) = (4x - 4)/(-4x + 4)

1 = (4x - 4)/(-4x + 4)

Solve for x;

1*(-4x + 4) = 4x - 4

-4*x + 4 = 4x - 4

-4x - 4x = -4 - 4

-8*x = -8

x = -8/-8 = 1.

To find the value of y, we can input this value of x in one of the equations:

y = 4 x1 - 4 = 0.

Then we have only one solution, (1, 0).

Therefore, the system is consistent and independent.

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Answer:

4 weeks

Step-by-step explanation:

75-5*x=55

x=4 weeks

Both methods yield the same result, verifying that the maximum value of the function f(x) = -x² + 8 is 9.

To find the maximum or minimum value of the function f(x) = -x² + 8, we can use different methods such as completing the square, the vertex form, or the first derivative test.

Method 1: Completing the Square

Step 1: Rewrite the function in vertex form by completing the square:

f(x) = -(x² - 8)

= -(x² - 2x + 1 - 1 - 8)

= -(x - 1)² + 9

Step 2: The vertex form of a quadratic function is f(x) = a(x - h)² + k, where (h, k) represents the vertex. In this case, the vertex is (1, 9).

Step 3: Since the coefficient of the squared term is negative, the vertex represents the maximum value of the function.

Therefore, the maximum value of the function f(x) = -x² + 8 is 9, and it occurs at x = 1.

Method 2: First Derivative Test

Step 1: Take the derivative of the function f(x) = -x² + 8:

f'(x) = -2x

Step 2: Set the derivative equal to zero and solve for x to find the critical point(s):

-2x = 0

x = 0

Step 3: Determine the sign of the derivative on each side of the critical point(s). This will indicate whether the function has a maximum or minimum at that point.

For x < 0, f'(x) > 0, indicating a positive slope and a minimum value.

For x > 0, f'(x) < 0, indicating a negative slope and a maximum value.

Step 4: Since the critical point x = 0 is in the range of interest, we can conclude that the maximum value occurs at x = 1, as found earlier.

Therefore, the maximum value of the function f(x) = -x² + 8 is 9, and it occurs at x = 1.

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Thus, it is important to interpret the F-ratio in the context of the research question and to consider other factors, such as effect size and practical significance, when drawing conclusions from an ANOVA analysis.

When conducting an analysis of variance (ANOVA), we are interested in comparing the means of two or more groups.

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Answer:

1320 cones

Step-by-step explanation:

1 mile = 5280 feet

For every 4 feet, 1 cone is placed so

5280/4 = 1320

Therefore 1320 cones are used.

Any questions lmk

Answer:

150

Step-by-step explanation:

Answer: 150!

Step-by-step explanation:

i did the edge test, i got it right. trust me, i dont lie. :)  have a nice day<3

proof:

Answer:

Step 3

Step-by-step explanation:

Answer:

step 3

Step-by-step explanation: 2 to the 3rd is 8 not 9

The number that is the odd one out of the given numbers is; 3527

To find the odd one out, let us add each of the individual numbers;

A) 9678; 9 + 6 + 7 + 8 = 30

B) 4572; 4 + 5 + 7 + 2 = 18

C) 5261; 5 + 2 + 6 + 1 = 14

D) 5133; 5 + 1 + 3 + 3 = 12

E) 3527; 3 + 5 + 2 + 7 = 17

F) 6895; 6 + 8 + 9 + 5 = 28

G) 7768; 7 + 7 + 6 + 8 = 28

Looking at all, the only one with an odd sum is 3527.

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Answer

the triangle is a triangle

Step-by-step explanation:

Answer:

Equilateral triangle

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Remember that you are adding an already known negative number since there are two negative signs next to them.  Your answer should be 5.

Answer:

5

Step-by-step explanation:

3-(-2)

-1 × -2

= 2

= 3+2

=5

This sort of plant must be at least 84 cm tall to be on show in the main foyer.

Let H be the desired height; as a result, we obtain,

\($[\mathrm{H}-60.7] / 8.3 \geq 2.75$\)  8.3 times both sides

\($\mathrm{H}-60.7 \geq 22.825$\)  60.07 on both sides

\($\mathrm{H} \geq 83.525 \approx 84 \mathrm{~cm}$\)

Height is defined in mathematics as the vertical distance separating an object's top from its base. On occasion, it is referred to as "height". In coordinate geometry, an object's height is calculated along the y-axis and is referred to as height.

the portion that rises or stretches upward the most: most elevated: summit. at the pinnacle of his abilities, he reached the mountain's height: the highest or most extreme peak of something. Height is a measurement of vertical extension (how "tall" something or someone is), vertical position, or both (how "high" a point is). For instance, "That building is 50 meters high," or "The height of an airplane while it is in flight is roughly 10,000 meters."

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Answer: 57 cm

Step-by-step explanation:

z score - 1.75 multiplied by standard deviation 6.6

1.75 x 6.6= 11.55 + mean of 45.3 cm = 56.85 rounded to nearest cm is 57cm

The factored expression for this problem is given as follows:

q² - r² = (q - r)(q + r).

The expression in the context of this problem is factored using the subtraction of perfect squares notable product, as follows:

a² - b² = (a - b)(a + b).

The parameters a and b for the expression q² - r² are given as follows:

Hence the factored expression is given as follows:

q² - r² = (q - r)(q + r).

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The area of the square is 1/4inches² in square inches

The area of a square is calculated by multiplying its two sides, that is area = s × s, where, 's' is one side of the square.

The square has side of length = 6/12

this can be simplified as 1/2

so

area of the square = (1/2 × 1/2) inches ²

area of the square = 1/4inches²

Thus, the area of the square is calculated using area = s × s, as 1/4inches²

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41/7 is approximately 5.86

5.86 is greater than 1

Therefore, 41/7 as a fraction IS greater than one.

Hopefully, that helped! :)

Among the given options, (C) The maximum of the 9 measurements is less than the maximum of the 10 measurements must be true about the 9 measurements, excluding the outlier, when compared with the 10 measurements.

An outlier is defined as a measurement that significantly deviates from the other measurements in a data set.

In this case, one of the measurements among the 10 is identified as an outlier.

When comparing the remaining 9 measurements with the entire set of 10 measurements, the maximum value of the 9 measurements cannot exceed the maximum value of the 10 measurements because the outlier, by definition, exceeds the upper quartile or lower quartile by at least 1.5 times the interquartile range.

It is important to note that the median of the 9 measurements can be either greater than or less than the median of the 10 measurements, depending on the specific values of the measurements.

The presence of the outlier does not necessarily determine the relationship between the medians of the two sets.

Similarly, the standard deviation of the 9 measurements may or may not be less than the standard deviation of the 10 measurements.

The inclusion or exclusion of the outlier can have an impact on the standard deviation calculation, but it is not guaranteed to be lower or higher in either case.

Therefore, among the given options, the only statement that must be true is (C) The maximum of the 9 measurements is less than the maximum of the 10 measurements.

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Answer:

The value of the car at the end of 3 years will be £5,062.50.

Answer:

Maybe try 'A'..good luck

The perimeter of the quadrilateral is 8 units. Therefore, the answer to the question is 8 units.

The perimeter of a quadrilateral is the sum of the lengths of its sides. To calculate the perimeter, we need to calculate the distances between the points of the quadrilateral.

To draw a quadrilateral with the given points on the coordinate plane, we can draw four lines connecting the given points. The first line will connect the points (–5, –2) and (–4, –2), which is a horizontal line with a length of 1 unit. The second line will connect the points (–4, –2) and (–4, 1), which is a vertical line with a length of 3 units. The third line will connect the points (–4, 1) and (–5, 1), which is a horizontal line with a length of 1 unit. The fourth line will connect the points (–5, 1) and (–5, –2), which is a vertical line with a length of 3 units.

The total length of the sides of the quadrilateral is calculated by adding the lengths of the four lines. Thus, the perimeter of the quadrilateral is 8 units.

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The coach can select the 6 starting players in 20 different ways, as probability are 6 players to choose from and they must consist of 3 boys and 3 girls. There are 7 boys and 6 girls, so each player is eligible to play each position. To calculate this, the formula 6! / (3! * 3!) is used.

1. Calculate 6 factorial (6!) which is 6*5*4*3*2*1 = 720

2. Calculate 3 factorial (3!) which is 3*2*1 = 6

3. Calculate 3 factorial (3!) again which is also 6

4. Divide 6! by (3! * 3!) which is 720 / (6 * 6) = 20

When selecting a starting lineup for an indoor soccer team consisting of 6 players who must be 3 boys and 3 girls, there are 20 possible combinations. To calculate this, the coach must use the formula 6! / (3! * 3!). This formula is used to calculate the number of possible combinations when selecting a certain number of items from a set of items, where all items are unique. 6! is 6 factorial, which is calculated by multiplying the numbers from 6 down to 1 (6*5*4*3*2*1). 3! is 3 factorial, which is calculated by multiplying the numbers from 3 down to 1 (3*2*1). When 6! is divided by the product of 3! multiplied by 3!, the result is 20. This shows that the coach can select the 6 starting players in 20 different ways, as there are 6 players to choose from and they must consist of 3 boys and 3 girls. There are 7 boys and 6 girls, so each player is eligible to play each position.

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Answer:

.....Your answer is D

...

.

Answer:

i dont know

Step-by-step explanation:

Answer:

702in^2

Step-by-step explanation:

First you want to find out the area of each of the squares. So first lets do the two 9x9 squares.

9x9+9x9=81+81= 162in^2

Now lets do the bigger rectangle, we see that the width is 15 and that half of the lenght is 18. So with this information the area equation would be 15x(18+18)= 15x36= 540in^2.

Now that we have both the two smaller squares and the bigger rectangle we just have to add them together.

540+162=702in^2 would be the answer

Answer:

108º

Step-by-step explanation:

subtract outer angle from circle

360º - 252º = 108º

I hope this helps you

find DCG

360-252=108°

angle DBG=1/2(252-108)

angle DBG=72°

Answer:

3

Step-by-step explanation:

Answer:

180 meters squared

Step-by-step explanation:

Answer:

180m²

Step-by-step explanation:

Using the given formula, the sum of S(n) for the arithmetic series is 565.5.

In the given question we have to find the sum S(n) for the arithmetic series

The given formula is S(n)=n/2 {a(1)+a(n)}

The given values are a(1)=12, a(n)=75,n=13

We just have to put values in given formula

S(n)=n/2 {a(1)+a(n)}

S(n)=13/2 (12+75)

S(n)=6.5*87

S(n)=565.5

Hence, the sum of S(n) for the arithmetic series described is 565.5.

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Answer:

z=37

x=105

y=68?

Step-by-step explanation:

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