The segments shown below could form a triangle.
A
5
с
B
8
B
6

The rationalization of the denominator gives 4√3 + 5√ 2/4√3 - 3√2

Rationalization of surds is simply converting the denominator of a fraction from an irrational number to a rational number.

Given that;

\( \frac{4 \sqrt{3} + 5 \sqrt{2} }{ \sqrt{48} - \sqrt{18} } \)

Let's find the perfect squares in 48 and 18

For √48 = √ 16 ×3

√18 = √ 9 × 2

Substitute into the denominator

\( \frac{4 \sqrt{3} + 5 \sqrt{2} }{ \sqrt{16 \times 3} - \sqrt{9 \times 2} } \)

Find the squares

\( \frac{4 \sqrt{3} + 5 \sqrt{2} }{4 \sqrt{3} - 3 \sqrt{2} } \)

Thus, the rationalization of the denominator gives 4√3 + 5√ 2/4√3 - 3√2

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C is the answer!

Step-by-step explanation:

The slope of points P and Q is,

m=y2-y1/x2-x1

substitute the numbers in the equation above,

m=2-3/4-8

m=-1/-4

m=1/4

The slope of points R and S,

m=-2-(-5)/-1-(-5)

m=-2+5/-1+5

m=3/4

Remember, that parallel lines have the SAME SLOPE!

So no, the lines are not parallel!

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Slope of the line passes through the points (8,79.99) and (16,99.99) will be 2.5,here slope is positive means if the memory size of player will increase then the cost will increase too.

Slope of line:

                      The slope of a straight line is the ratio of the change in y to the change in x, generally denoted by m.

                   so for points (x1 , y1)  and  (x2 , y2)

                        slope(m)= (y2 - y1)/(x2 - x1) = rise/run

    Interpretation:- If slope is positive, the graph of a line rises from left to right. If slope is negative, the graph of the line falls from left to right.

given,

            costs  of 8-gigabyte video MP4 player is $79.99

            costs of 16-gigabyte video MP4 player is  $99.99

                   Points are (8,79.99) and (16,99.99)

slope for the given points will be,

                               m = (99.99 - 79.99)/(16 - 8)

                                   = 20/8

                                   = 5/2

                                   = 2.5

slope of the line will be  = 2.5

    here slope is positive means if the memory size of player will increase then the cost will increase too.

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Medium-range forecasts are weather predictions that cover a period of two to four days. These forecasts are critical for planning activities and making decisions that rely on weather conditions.

To produce these forecasts, meteorologists use essentially the same procedures as short-term forecasting, but with the addition of statistical analysis. The statistical approach involves examining past weather patterns and trends to determine the likelihood of similar patterns occurring in the near future. This helps to provide a more accurate forecast than relying solely on numerical models.

Interestingly, medium-range forecasts are longer in Europe than in the United States. This is because Europe has a more dynamic weather system, with greater variations in temperature, pressure, and wind. To account for these complexities, European meteorologists rely on a broader range of data sources and statistical techniques. This includes the use of computer models, satellite imagery, and ground-based observations. In contrast, the weather in the United States tends to be more stable, making it easier to produce medium-range forecasts using numerical models alone.

In summary, medium-range forecasts are an essential tool for predicting the weather in the near future. Meteorologists use a combination of procedures, including statistical analysis, to produce accurate predictions. The length of these forecasts can vary depending on the region, with Europe requiring more sophisticated techniques due to the dynamic nature of its weather system.

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Answer:many

Step-by-step explanation:manymulti- a combining form meaning “many,” “much,” “multiple,” “many times,” “more than one,” “more than two,” “composed of many like parts,” “in many respects,” used in the formation of compound words: multiply; multivitamin.

Answer:

(x+3)^2=147

Step-by-step explanation:

The values of x and y on the triangle are given as follows:

The three trigonometric ratios are the sine, the cosine and the tangent, and they are obtained according to the rules presented as follows:

The side x is adjacent to the angle of 30º, while the opposite side to the angle of 30º is of 5 units, hence:

tan(30º) = x/5

\(\frac{\sqrt{3}}{3} = \frac{x}{5}\)

\(x = \frac{5\sqrt{3}}{3}\)

Considering that side 5 is opposite to the angle of 30º, the hypotenuse y is obtained as follows:

sin(30º) = 5/y

1/2 = 5/y

y = 5 x 2

y = 10.

The triangle is given by the image presented at the end of the answer.

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Answer:

x=-1.5 and -2

Step-by-step explanation:

use the quadratic formula

Tree M most closely reflects how the three species of  the spiny back are related to one another.

The branches of the tree, which are marked with the species names, demonstrate that the three species are all closely related, but still have distinct differences between them. For example, Species 1 and 2 share a relatively recent common ancestor, while Species 3 has a much more distant one. The species are represented as separate branches of the tree to show the different pathways of evolution that each species has taken.

In conclusion, Tree M most accurately reflects the evolutionary history of the three species of the spiny back. It shows that while they are all related, they still have distinct differences between them.

The complete question is:

A single species of fish, the three-species  spiny back, once inhabited a large lake. At some point in the lake's history, lava flowed from a nearby volcano into the lake cutting it into three completely isolated mini-lakes. Despite the heat from the lava, a few individuals from the original population of spiny back survive in each mini-lake. Three million years later, a researcher finds that each mini-lake is inhabited by its own species of spiny back. Which of the following figures MOST closely reflects how the three species of spiny back are related to one another?

A.) tree H B.) tree L C.) tree M D.) tree K.

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For a larger input size of 320,000 elements, it will take 240 ms to sort each half and 24 ms to merge the sorted halves, resulting in a total time of 264 ms.

The given information describes the time required for sorting and merging operations on two different input sizes. For 80,000 elements, it takes 18 ms to sort each half, resulting in a total of 36 ms for sorting. Merging the two sorted halves with 80,000 numbers in each takes 40 - 18 = 22 ms.

When the input size is doubled to 320,000 elements, the sorting time for each half increases to 240 ms, as it scales linearly with the input size. The merging time, however, remains constant at 4 ms since the size of the sorted halves being merged is the same.

Thus, the total time for sorting and merging 320,000 elements is the sum of the sorting time (240 ms) and the merging time (4 ms), resulting in a total of 264 ms.

Therefore, based on the given information, the total time required for sorting and merging 320,000 elements is 264 ms.

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The number formed by the digits 16, 06, and 68 is 160668, which is determined by concatenating them in the given order.

To determine the number formed by the given digits, we concatenate them in the given order. Starting with the first digit, we have 16. The next digit is 06, and finally, we have 68. By combining these three digits in order, we get the number 160668.

When concatenating the digits, the position of each digit is crucial. The placement of the digits determines the resulting number. In this case, the digits are arranged as 16, 06, and 68, and when they are concatenated, we obtain the number 160668. It's important to note that the leading zero in the digit 06 does not affect the value of the resulting number. When combining the digits, the leading zero is preserved as part of the number.

Therefore, the number formed by the digits 16, 06, and 68 is 160668.

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The chain rule is a formula used in calculus to find the derivative of a composition of functions. It is an important tool for solving problems in many areas of mathematics and science.

The chain rule formula can be stated as follows:

If y = f(g(x)), then the derivative of y with respect to x is given by:

dy/dx = (df/dg) * (dg/dx)

In other words, the derivative of y with respect to x is equal to the derivative of f with respect to g, multiplied by the derivative of g with respect to x.

Here, f and g are functions of x, and y is a function of g. The chain rule formula tells us how to find the derivative of y with respect to x, by taking into account the effect of both f and g on the function y.

The chain rule can be extended to more complex compositions of functions, by applying the formula repeatedly. For example, if y = f(g(h(x))), then the chain rule can be applied twice, as follows:

dy/dx = (df/dg) * (dg/dh) * (dh/dx)

This formula tells us how to find the derivative of y with respect to x, by taking into account the effects of all three functions f, g, and h on the function y.

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Answer: Factors are the numbers and/or variables between your transactions (division, multiplication, addition, and subtraction signs). So the answer would be x2, 16x, and 64.

Step-by-step explanation:

You welcome

Can I get brainliest when sun else answers?

Answer:

Step-by-step explanation:

Answer:

256

Step-by-step explanation:

23:9      

9x8=72

23x9=184

184+72

It says in total

Answer:

1.) y=800e^(0.02t)

2.) 957.76 (or 958 if rounding up is required)

Step-by-step explanation:

1.) Since the increase is in years and our time is in years, we can use the function y=Pe^(rt) where P is our beginning value, r is rate (as a decimal) and t is time. Substitute the values P=800, r=0.02 to get y=800e^(0.02)t.

2.) Solving the equation above, we substitute t for 9, we get:

Y=800e^(0.02*9)

Y=800e^(0.18)

Y=800*(1.1972)

Y=957.76

Since it asks for population, you may or may not need to round to 958.

The annual maintenance collected in 2014 will be $1,750,000.

To calculate the annual maintenance collected in 2014, we need to find the number of customers who will renew their maintenance contract and the number of customers who will pay for maintenance as a percentage of product sales in 2013.

Number of customers renewing maintenance in 2014 = 80% of $2,000,000 = $1,600,000

Number of customers paying for maintenance in 2014 = 75% of $2,000,000 = $1,500,000

So, the total annual maintenance collected in 2014 will be:

$1,600,000 + $1,500,000*10% = $1,750,000

Therefore, the annual maintenance collected in 2014 will be $1,750,000.

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Answer:

Step-by-step explanation:

2.72*10^-4

Answer:

When the diameter is known, the formula is Radius = Diameter/ 2.

When the circumference is known, the formula is Radius = Circumference/2π.

When the area is known, the formula for the radius is Radius = ⎷ (Area of the circle/π).

Given the initial expression sin(θ) + cos(θ) * cos(θ) * (1 - cos(θ)), we simplified it to sin(θ) + cos²(θ) - cos³(θ).

Given the expression:
sin(θ) + cos(θ) * cos(θ) * (1 - cos(θ))
Let's simplify this expression step by step:
1. First, recognize that cos(θ) * cos(θ) can be written as cos²(θ). So, the expression becomes:
sin(θ) + cos²(θ) * (1 - cos(θ))
2. Next, we'll distribute cos²(θ) to both terms inside the parentheses:
sin(θ) + cos²(θ) - cos³(θ)
At this point, we have simplified the expression as much as possible. The final expression is:
sin(θ) + cos²(θ) - cos³(θ)
In summary, given the initial expression sin(θ) + cos(θ) * cos(θ) * (1 - cos(θ)), we simplified it to sin(θ) + cos²(θ) - cos³(θ). Remember that this is a general expression and its specific value depends on the angle θ.

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This value represents the present worth below which the probability is 0.5, indicating a negative present worth.

To estimate the probability that the present worth is negative using the NORM.INV function in Excel,

we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.

The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).

Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),

where t is the year. We then sum up these present values for each year.

We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.

Since we have a mean and standard deviation for the present worth,

we can calculate the corresponding probability of a negative present worth using NORM.INV.

This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,

we can estimate the probability that the present worth is negative based on the given data and assumptions.

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Answer:        我不知道你好

Step-by-step explanation:

Answer:

54 : 24

Step-by-step explanation:

Total: 78 students

Part (boys): 24 students

We can find the number of girls in the school by subtracting the number of boys from the total number of students.

Part (girls): Total - Part (boys) = 78 - 24 = 54

We now have the amount of girls and boys, so we can rewrite as a ratio of girls to boys.

Girls: 54

Boys: 24

Girls : Boys = 54 : 24

Let me know if you have any questions!

The perpendicular distance from point P to the line connecting stations Shore and Rock is approximately 668,389.33 feet.

To find the perpendicular distance from point P to the line connecting stations Shore and Rock, we can use the formula for the distance between a point and a line.

The equation of the line connecting stations Shore and Rock can be determined using the slope-intercept form of a straight line: y = mx + b, where m is the slope and b is the y-intercept.

First, let's calculate the slope of the line:

slope = (Y2 - Y1) / (X2 - X1)

     = (392,133.86 - 394,087.52) / (652,531.72 - 654,127.26)

     = -1,953.66 / -1,595.54

     ≈ 1.224

Next, we can find the y-intercept (b) by substituting the coordinates of either station (e.g., Rock) into the slope-intercept form and solving for b:

392,133.86 = 1.224 * 652,531.72 + b

b ≈ 392,133.86 - 799,247.25

b ≈ -407,113.39

So, the equation of the line connecting Shore and Rock is:

y ≈ 1.224x - 407,113.39

Now, let's calculate the perpendicular distance from point P to the line using the formula:

distance = |Ax + By + C| / sqrt(\(A^2\) + \(B^2\))

where A, B, and C are the coefficients of the line equation in the form Ax + By + C = 0. In this case, the equation of the line can be rewritten as:

-1.224x + y + 407,113.39 = 0

Therefore, A = -1.224, B = 1, and C = 407,113.39. Plugging in the coordinates of point P (653,594.81, 393,436.47) into the formula, we get:

distance = |-1.224 * 653,594.81 + 1 * 393,436.47 + 407,113.39| / sqrt((-1.224)^2 + 1^2)

        = |-799,103.63 + 393,436.47 + 407,113.39| / sqrt(1.497)

        = |1,001,446.23| / 1.225

        ≈ 818,003.79 / 1.225

        ≈ 668,389.33

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Answer:

80 sets costing $25/set

120 sets costing $45/set

Step-by-step explanation:

let x = number of sets costing $25/set

let y = number of sets costing $45/set

we have to build eqautions form the info given

(1) . total sets = 200   x + y =200

(2) . total sets = 7400  25x + 45y = 7400

use the substitution method

(rest of work shown below in the picture)

Answer:

in cubic units, of 4 identical boxes with each side equal to s units: V = 4s3 If s = 2.5 units, what is the value of V? (5 points) 25 cubic units 30 cubic units 62.50 cubic units 156.25 cubic units

Step-by-step explanation:

Answer:

f(x)=500+60x

So, B.

Step-by-step explanation:

Opening balance =500

Deposits= 60__ monthly

Write as a function

Represent the number of months with x and the balance at any month with f(x)

f(x) is calculated as thus:

Opening Balance + Deposits * Number of Months

So, we have:

f(x)=500+60*x

So, f(x) = 500+60x