How many inches are in 50 centimeters?​

Answer:

a is to b,

a : b

w is to x,

w : x

a is to b as w is to x,

a : b : : w : x

In fraction form,

a/b = w/x

The most appropriate name for the function that takes the length of a race and returns the time needed to complete it would be "time(length)".

When choosing a name for a function, it is important to consider clarity and readability. The name should accurately describe the purpose of the function and provide a clear indication of what it does.

In this case, the function is expected to take the length of a race as input and return the time needed to complete it as output. Among the given options, "time(length)" is the most suitable choice.

a. length(time): This name suggests that the function takes time as input and returns the length. However, in this scenario, we are interested in finding the time needed to complete the race based on its length, so this option is not the best fit.

b. Time(race): This name implies that the function takes a race as input and returns the time. While it conveys the idea of finding the time, it doesn't explicitly mention that the input is the length of the race, making it less clear.

c. time(length): This option accurately describes the purpose of the function, indicating that it takes the length of the race as input and returns the corresponding time. It is concise, clear, and aligns with the conventional naming conventions for functions.

d. cost(time): This name suggests that the function calculates the cost based on time, which is not relevant to the scenario of finding the time needed to complete a race.

Therefore, "time(length)" is the most suitable and appropriate name for the function.

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Answer:

Step-by-step explanation:

You want the left sum and the right sum of the four subinterval areas under the curve f(x) = √(x+3) on the interval [-1, 1].

The Riemann sum is the sum of the subinterval areas. The area of each subinterval is the height of the rectangular area, multiplied by its width. Here, the interval width is (1 -(-1))/4 = 0.5.

The heights of the intervals of interest will be the function values f(-1 +0.5n) for f(x) = √(x+3) and n = 0 .. 3 for the left sum and 1 .. 4 for the right sum.

The attached calculator display shows the function values for n=0 .. 4. The expression Total(Most( )) adds the first four function values; while the expression Total(Rest( )) adds the last four function values of these five. Multiplying by the interval width (1/2) gives the left- and right-Riemann sums, respectively.

__

Additional comment

The actual integral value is about 3.44772.

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Answer:

You can buy exactly 4 fish.

I hope I'm right.

Answer:

g(x) = 3 (x + (-5)) (x + (-9))

Zeros: (5 and 9)

Step-by-step explanation:

3a² -42a +135 = 3 (a² - 14a +45) = 3 (a-5) (a-9)

3 (a-5) (a-9) = 0

a = 5 or a = 9 ..... Zeros

Answer:

c=4x+5y

c-5y=4x

x=[c-5y]/4 is your formula.

The zeros of the function f(x) = 2x⁴ + 11x³ + 16x² + x - 6 are x = -3, x = -2,

x = -1 and x = 1/2 respectively

The zero of a real-, complex-, or generally vector-valued function f, is a member x of the domain of f such that f(x) vanishes at x; that is, the function f attains the value of 0 at x, or equivalently, x is the solution to the equation f(x) = 0. Graphically, the real zero of a function is where the graph of the function crosses the x‐axis; that is, the real zero of a function is the x‐intercept(s) of the graph of the function.

In the given problem, the zero of the function;

f(x) = 2x⁴ + 11x³ + 16x² + x - 6; -3 are

f(-3) = 2(-3)⁴ + 11(-3)³ + 16(-3)² -3 - 6 = 0

f(-2) = 2(-2)⁴ + 11(-2)³ + 16(-2)² - 2 - 6 = 0

f(-1) = 2(-1)⁴ + 11(-1)³ + 16(-1)² - 1 - 6 = 0

f(1/2) = 2(1/2)⁴ + 11(1/2)³ + 16(1/2)² - 1/2 - 6 = 0

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Answer:

Provide the statements please

Step-by-step explanation:

Answer:

1. 2(x2 + 6x + 9) = 3 + 18

2. 2(x2 + 6x) = 3

Let's take a look at the first choice:

2(x² + 6x + 9) = 3 + 18

Now, we will multiply 2 with every member of the other multiplier on the left side:

2·x² + 2·6x + 2·9 = 3 + 18

2x² + 12x + 18 = 3 + 18

2x² + 12x - 3 = 18 - 18

2x² + 12x - 3 = 0

Let's take a look at the second choice:

2(x² + 6x) = 3

Now, we will multiply 2 with every member of the other multiplier on the left side:

2·x² + 2·6x = 3

2x² + 12x = 3

2x² + 12x - 3 = 0

I hope it helps and that you have a great day! :)

Answer:

  1, 3, 4

Step-by-step explanation:

You want to identify the steps used to solve the quadratic equation ...

  2x² +12x -3 = 0

Solving the quadratic by completing the square uses these steps.

  2x² +12x = 3 . . . . . . . . . . separate the constant from the x-terms

  2(x² +6x) = 3 . . . . . . . . . . factor out the leading coefficient (choice 3)

  2(x² +6x +9) = 3 +18 . . . . add the square of 6/2 (choice 1)

  2(x +3)² = 21 . . . . . . . . . . simplify

  (x +3)² = 21/2 . . . . . . . . . . divide by 2

  x +3 = ±√(21/2) . . . . . . . . . take the square root (choice 4)

  x = -3 ±√(21/2) . . . . . . actual solution

By using the rules:

\(cos(-x) = cos(x)\\\\sec(x) = \frac{1}{cos(x)}\)

We have proven the identity. Below you can follow the demonstration.

Here you need to remember two things:

\(cos(-x) = cos(x)\\\\sec(x) = \frac{1}{cos(x)}\)

Here we have the expression:

\(\frac{1 - cos(-x)}{sec(-x) - 1}\)

By using the first rule, we can rewrite:

\(\frac{1 - cos(-x)}{sec(-x) - 1} = \frac{1 - cos(x)}{sec(x) - 1}\)

By using the second rule, we can rewrite:

\(\frac{1 - cos(x)}{sec(x) - 1} = \frac{1 - cos(x)}{\frac{1}{cos(x)} - 1}\)

Now if we multiply and divide by cos(x), we get:

\(\frac{1 - cos(x)}{\frac{1}{cos(x)} - 1} = \frac{1 - cos(x)}{\frac{1}{cos(x)} - 1} *\frac{cos(x)}{cos(x) } = \frac{(1- cos(x))*cos(x)}{1 - cos(x)} = cos(x)\)

In this way, the identity was proven.

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The number 480,000 in scientific notation is 4.8 * 10⁵

From the question, we have the following parameters that can be used in our computation:

Number = 480,000

Multiply the number by 1

So, we have the following representation

Number = 480000 * 1

Express 1 as 10⁵/10⁵

Som we have

Number = 480000 * 10⁵/10⁵

This gives

Number = 4.8 * 10⁵

Hence, the expression is 4.8 * 10⁵

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Thus, the scale factor from circle A to circle B is found to be 2.

The ratio between comparable measurements of just an element and a portrayal of that element is known as a scale factor in mathematics. The copy will be larger if the scaling factor is a whole number. A fractional scaling factor means that the duplicate will be smaller.

You must first choose which direction we are scaling in order to determine the scale factor:

The radius of circle A = 2 units

The radius of circle B = 4 units.

So, there is a dilation with the scale factor of 2 units as 2*2 = 4 units.

Thus, the scale factor from circle A to circle B is found to be 2.

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The volume of the glass must be greater than 9 cubic inches to accommodate the 9 ice cubes.

What is the volume of a cube?

The volume of a cube is given by the formula:

V = s³

where "s" is the length of any side of the cube.

In other words, to find the volume of a cube, we just need to raise the length of any side to the third power.

No, David is not right. If he fits 9 ice cubes, each with a volume of 1 cubic inch, into the glass, then the total volume of the ice cubes is 9 x 1 = 9 cubic inches.

If the glass had a volume of 9 cubic inches, there would be no room for the ice cubes since they would completely fill the glass.

Therefore, the volume of the glass must be greater than 9 cubic inches to accommodate the 9 ice cubes.

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The vertex form of the quadratic function f(x) = 2x^2 + 8x + 7 is f(x) = 2(x + 2)^2 - 25.

Take a look at the quadratic function:

f(x) = 2x^2 + 8x + 7

In this situation, a = 2 and b = 8, yielding:

f(x) = 2(x^2 + 4x) + 7

It shtbe noted that to determine the value to add and subtract, multiply (b/2a)2 by (8/2(2))2 = 42 = 16. Inside the parenthesis, we add and subtract 16:

f(x) = 2(x^2 + 4x + 16 - 16) + 7

The expression inside the parenthesis can now be written as a perfect square:

f(x) = 2((x + 2)^2 - 16) + 7

Finally, the phrase is simplified by spreading the 2:

f(x) = 2(x + 2)^2 - 32 + 7

f(x) = 2(x + 2)^2 - 25

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What is the vertex form of the quadratic function f(x) = 2x^2 + 8x + 7

Answer:

The area of the triangle is 5.875 square units.

Step-by-step explanation:

First, we need to calculate the lengths of the triangle by means of Pythagorean Theorem:

\(a = \|\overrightarrow {QR}\| = \sqrt{(5-4)^{2}+(7-4)^{2}+(-2+1)^{2}}\)

\(a \approx 3.317\)

\(b = \|\overrightarrow {RS}\| = \sqrt{(3-5)^{2}+(2-7)^{2}+(-4+2)^{2}}\)

\(b \approx 5.745\)

\(c = \|\overrightarrow {QS}\| = \sqrt{(3-4)^{2}+(2-4)^{2}+(-4+1)^{2}}\)

\(c \approx 3.742\)

Now, we can use the following formula to fid the area of the triangle (\(A\)), measured in square units:

\(A = \sqrt{s\cdot (s-a)\cdot (s-b)\cdot (s-c)}\)

Where:

\(s\) - Semiperimeter of the triangle, dimensionless.

\(a\), \(b\), \(c\) - Sides of the triangle, dimensionless.

The semiperimeter can be determined by this:

\(s = \frac{a+b+c}{2}\)

If we know that \(a \approx 3.317\), \(b \approx 5.745\) and \(c \approx 3.742\), the area of the triangle is:

\(s = \frac{3.317+5.745+3.742}{2}\)

\(s = 6.402\)

\(A = \sqrt{(6.402)\cdot (6.402-3.317)\cdot (6.402-5.745)\cdot (6.402-3.742)}\)

\(A \approx 5.875\)

The area of the triangle is 5.875 square units.

The exact solutions of the Quadratic equation x^2 - 3x - 5 = 0 are:

x = (3 + √29) / 2 ,x = (3 - √29) / 2. The correct answer choice is:

x = the quantity of 3 plus or minus the square root of 29 all over 2.

The exact solutions of the quadratic equation x^2 - 3x - 5 = 0 using the quadratic formula, we can identify the values of a, b, and c, and substitute them into the formula:

a = 1

b = -3

c = -5

Now, we can apply the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

Substituting the values into the formula:

x = (-(−3) ± √((−3)^2 - 4(1)(−5))) / (2(1))

x = (3 ± √(9 + 20)) / 2

x = (3 ± √29) / 2

Therefore, the exact solutions of the quadratic equation x^2 - 3x - 5 = 0 are:

x = (3 + √29) / 2

x = (3 - √29) / 2

The correct answer choice is:

x = the quantity of 3 plus or minus the square root of 29 all over 2.

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Answer:

6,075

Step-by-step explanation:

Substitute 81 for x

x (x -6)

81(81-6)

81(75)

6075

Helping in the name of Jesus.

Answer: B. 6,075

Step-by-step explanation:

1. Substitute x = 81 into x(x - 6): 81 x (81 - 6)

2. Calculate: 81 x (81 - 6): 6,075

This is a transformation of the parent square root function, and it can be written as:

f(x) = √(-x + 4) - 2

It is ratter easy to identify the shape of the general square root function:

f(x) = √x

The only difference is that now it opens to the left, and it starts at the point (4, -2)

Then:

The sign of the x must be negative.

And with the known vertex we can write the equation:

f(x) = √(-x + 4) - 2

That is the graphed function.

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Answer:

$12

Step-by-step explanation:

becuase 10%=2$

so 40%=$8

and 20-8=12

Answer:

61%

Step-by-step explanation:

First we need to add the two numbers,38 and 23.Then we will get 61.To convert a number into a probability . we will have to take change the value.100 turns into 1 and 61 turns in to 0.61.Then to convert it into a percentage, which will give us our answer 61%.

"s" can be concluded from the premises

To use the rules of inference to show that "s" is a conclusion, we can use modus ponens,

This is a rule that allows us to infer a conclusion from a premise and its conditional statement.

Thus, "s" can be concluded from the premises "p → q", "q → r", "(q → r) → s", and "p".

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Answer: B

Step-by-step explanation:

To find (f-g)(x), you simply subtract f(x) and g(x). With the given functions of f(x) and g(x), we can directly subtract them.

f(x)-g(x)                                              [plug in f(x) and g(x)]

-3x+2-x³                                             [rewrite in the correct order]                

-x³-3x+2

Since there are no like terms for us to combine, B is our correct answer.

Answer:

C. 101 3/4; $1017.50

Step-by-step explanation:

Correct on E2020!

The exact binomial probability that 45 or more people in the survey get enough exercise is 0.0853.

The mean (also called the arithmetic mean or average) is a measure of central tendency that represents the typical or average value of a set of data. The mean is calculated by summing up all the values in the data set and dividing by the number of values.

a. To calculate the probability that 45 or more people in the survey get enough exercise using a normal approximation for p hat, we need to first find the mean and standard deviation of the sample proportion.

The mean of the sample proportion is:

μ = p = 0.20

The sample proportion's standard deviation is:

σ = √[(p(1-p))/n] = √[(0.20)(0.80)/200] = 0.034

Using the normal distribution with a continuity correction, we can find the probability of 45 or more people getting enough exercise:

z = (45 - 0.20200 + 0.5) / √(0.200.80*200) = 1.24

P(Z > 1.24) = 0.1082

Therefore, the probability that 45 or more people in the survey get enough exercise is approximately 0.1082.

b. To find the exact binomial probability that 45 or more people in the survey get enough exercise, we can use the binomial cumulative distribution function (CDF) with n = 200 and p = 0.20:

P(X ≥ 45) = 1 - P(X < 45) = 1 - binomcdf(200, 0.20, 44) = 0.0853

Therefore, the exact binomial probability that 45 or more people in the survey get enough exercise is 0.0853.

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Answer:

I think of A

Step-by-step explanation:

is that right

Answer:

ΔSRQ ∼ ΔVUT

Step-by-step explanation:

i got it correct

Solution:

Given:

Using casting out nines to determine whether the calculation is correct, means crossing out the 9s or components of 9.

To know if the calculation is correct, we add the digits of the multiplicand and take the result to modulus 9. Also, we add the digits of the multiplier and take the result to modulus 9.

We then multiply both results together and take to modulus 9 as well.

The result gotten is now compared to the result of the addition of the digits of the result of the calculation in modulus 9.

If both results are equal, then it is a possible correct solution.

Hence,

For the result side;

Since the result from casting out nines gave the same outcome (6 (mod 9)), then the calculation could be correct.

Based on the information, it should be noted that the difference between the scores of the girls and boys aren't significant.

From the information, the average score for boys was 48.4 with standard deviation 12.96 and the girls had an average score

of 48.9 with standard deviation 11.85.

The computed upper limit = 2.1119

The computed lower limit = -3.1119

Since the interval (-3.1119, 2.1119) contains the between the value 0 thus the difference of boys and girls scores isn't significant.

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Answer:(-(3x^(3)-x-1))/((x^(2)+1)^(2))

Answer:

the answer is 5........

Answer: I rechecked and confirmed the answer. The answer is 5.