please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

The time taken to finish the race is 3.49 hours

Speed is defined as. The rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered.

Given,

The total distance = 500 miles

The speed = 143.187 mph

We know, Speed = Distance / Time

Time = Distance / Speed

Substitute the values

Time = \(\frac{500}{143.187}=3.49\) hours

Hence, the time taken to finish the race is 3.49 hours

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Answer:

The answer is - 17

Step-by-step explanation:

........

A characteristic of a simple random sample is that all samples of the same population have an equal chance to be selected.

A subset of a statistical population called a simple random sample is one in which each member has the same chance of being picked or selected.

A subset of participants is chosen at random by the researcher using this sampling approach from a population.

To make sure that the sample represents the population, simple random sampling is often performed and this technique helps to sample bigger populations more frequently than smaller subpopulations.

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Answer:

G because it doesn't have an angle to the line like it doesnt lose or pick up speed

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

The degree 3 polynomial equation is  1/2(4 - x)(x - 1)(x - 2).

Here given,

With zeros and a coefficient, the function is:

f(x) = a(x - 4)(x - 1)(x - 2)

Regarding the y-intercept:

f(0) = a(0 - 4)(0 - 1)(0 - 2)

4 = a(-4)(-1)(-2)

4 = -8a

a = -1/2

As a result, the function is:

f(x) = -1/2(x - 4) (x - 1)(x - 2)

= 1/2(4 - x)(x - 1)(x - 2)

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the set of numbers in ascending order is: -13, -10, -9, -2, -1, 0, 3, 4, 7, 20.To put the given set of numbers in ascending order, we simply arrange them from smallest to largest.

-13, -10, -9, -2, -1, 0, 3, 4, 7, 20

We start with the smallest number, which is -13, and then move on to the next smallest number, which is -10. The process continues until we reach the largest number in the set, which is 20.

Therefore, the set of numbers in ascending order is: -13, -10, -9, -2, -1, 0, 3, 4, 7, 20.

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The congruent statement for the triangle is ΔVXW ≅ ΔRPQ

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal .

In other words, two triangles are said to be congruent if pairs of their corresponding sides and their corresponding angles are equal.

Therefore, for the two triangles the to be congruent the corresponding sides are and the angles are equals also.

Hence,

∠V ≅ ∠R

∠W ≅ ∠Q

∠X ≅ ∠P

Therefore, ΔVXW ≅ ΔRPQ

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Therefore, the expression (x⁴√2 - x) can be written as the difference of logarithms: 2x log(2) - log(x).

To express the expression (x⁴√2 - x) as a sum and/or difference of logarithms, we can use the properties of logarithms.

First, let's rewrite the expression using exponentiation:

x⁴√2 - x = √2⁴ˣ - x

Now, we can express this as a difference of logarithms:

√2⁴ˣ - x = log(√2⁴ˣ) - log(x)

Since the square root of 2 can be written as 2^(1/2), we can further simplify:

log(√2⁴ˣ) - log(x) = log((√2))⁴ˣ) - log(x)

Using the power rule of logarithms, we can simplify the expression inside the logarithm:

log((√2))⁴ˣ) - log(x) = log(2²ˣ) - log(x)

Finally, applying the power rule of logarithms again, we can write the expression as:

log(2²ˣ) - log(x) = 2x log(2) - log(x)

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Answer:

5

Step-by-step explanation:

Branliest plz

Answer:

\(x \geq 255\)

Step-by-step explanation:

The options are not visible; however the question can still be solved

Given

Least Value = $255

Required

Determine the inequality

When the phrase "at least" is used, the its direct representation is the mathematical symbol \(\geq\)

So: At least 255 means

\(\geq 255\)

Representing the values with variable x, the complete inequality becomes

\(x \geq 255\)

Answer:477.47 revolutions

Step-by-step explanation:

Answer:

B is the correct answer

The other two sides of the board are given by the option presented as follows:

c) 6,8.

The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

The theorem is expressed as follows:

c² = a² + b².

In which:

The sum of the lengths of the two smaller sides must be greater than the length of the greatest side, which removes options a and b from consideration.

The hypotenuse of 10 and the side length of 8 is common to both options c and d, hence the missing side length is given as follows:

x² + 8² = 10²

x² + 64 = 100

x² = 36

x = 6.

The complete problem is given as follows:

"Ben wants to make a triangular board in which he needs the longest side to be 10m. What should be the other sides of the board?

a)5,4 b) 3,4 c) 6,8 d) 5,8​"

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b. A variable annuity.

P did not buy a variable annuity. Variable annuities are investment products that allow individuals to allocate their annuity funds among various investment options. The income stream from a variable annuity is not fixed and can fluctuate based on the performance of the chosen investments.

In this case, P is looking for a lifetime income stream beginning at age sixty, which indicates a desire for a fixed income. Therefore, P most likely purchased a straight life annuity, an immediate annuity, or a deferred annuity, all of which provide a fixed income stream.

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Answer:

9\(\sqrt{2}\)

Step-by-step explanation:

9^2 = 81

81 + 81 = 162 = 9\(\sqrt{2}\)

Answer:

A, C, D, E

Step-by-step explanation:

Input your equations and tables into Desmos graphing to get your answers.

The length of the curve is l = ∫80(1+3(y-9)/(32y))^(1/2) dy

To find the length of the curve, we use the formula:

l = ∫a^b [(1 + [f'(x)]^2)^(1/2)] dx

In this case, we are given the equation for y in terms of x, so we need to find y' to use in the formula.

Starting with x = y√3(y-9)/(32y1/2), we can rearrange to solve for y in terms of x:

y = x^2 / [3(x^2/9 + 1)]

Next, we find the derivative of y with respect to x:

y' = [6x / (9x^2 + 27)] - [2x^3 / (9x^2 + 27)^(3/2)]

Simplifying:

y' = 6x / [9(x^2 + 3)] - 2x^3 / [9(x^2 + 3)^(3/2)]

Now we can substitute y' into the formula for l:

l = ∫0^8 [(1 + [6x / (9(x^2 + 3)) - 2x^3 / (9(x^2 + 3)^(3/2))]^2)^(1/2)] dx

Simplifying:

l = ∫0^8 [(1 + 9(x-9)^2 / (32x^2))^(1/2)] dx

To make the integral easier to solve, we can substitute u = 1 + 9(x-9)^2 / (32x^2), which gives:

l = ∫1.5^5.5 [2/3 * u^(1/2) * (u - 1)^(1/2) / (9(u-1) + 8(u-1)^(3/2))] du

Using integration by substitution and partial fractions, we can solve for l:

l = 16/27 [ (13/16)^{3/2} - (5/16)^{3/2} + 2(13/16)^{1/2} - 2(5/16)^{1/2} ]

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

To convert degrees to radians, we can use the following formula:

Then, for 35 degrees:

Answer:

250

Step-by-step explanation:

190 students = 76%

190/76=2.5

2.5 x 100 =250

Answer:

9/100

Step-by-step explanation:

a percent is 9 out of 100 so it is 9/100

The simplified form of the expression is \(7x^5 - 3x^4 - x^3 - x^2 + 4x.\)

The given expression is a polynomial expression, which can be simplified by combining the like terms. The like terms have the same variable and the same exponent. The given expression can be rearranged and combined as follows:

To simplify the given expression, we need to combine the like terms.

Starting with the x^5 term, we see that there is only one term with \(x^5\)which is \(7x^5.\)

Moving on to the\(x^4\)terms, we have two terms with\(x^4,\) namely \(3x^4\)and \(-3x^4\), which add up to 0. Therefore, we can eliminate the\(x^4 t\)erms from the expression.

\(7x^5 + 2x^3 - 5x^2 + 4x^2 + 6x - 2x - 3x^4 - 3x^3\)

\(= 7x^5 - 3x^4 + 2x^3 - 3x^3 - 5x^2 + 4x^2 + 6x - 2x\) (rearranging the terms)

\(= 7x^5 - 3x^4 - x^3 - x^2 + 4x\) (combining the like terms)

Therefore, the simplified form of the expression is \(7x^5 - 3x^4 - x^3 - x^2 + 4x.\)

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Answer: 17

Step-by-step explanation:

Two negatives make a positive

\(-6+23\)

Which is the same as

\(23-6=17\)

Answer:

Step-by-step explanation:

The answer will be 17:

So since -6 is multiplied to -23 the negative rule needs to be applied ( a - (-b = a+b) so -6 - (-23) will now turn into -6 + 23.

The equation in slope-intercept form of the line that passes through (6, −1) and (3, −7) is:y = 2x − 13.

To write an equation in slope-intercept form of the line that passes through (6, −1) and (3, −7), you will use the point-slope form, as follows:

y − y1 = m(x − x1),

where:

m = slope (or gradient) of the line, and

(x1, y1) = the coordinates of a point on the line.

Let us calculate the slope (gradient) of the line using the given points:

(6, −1) and (3, −7).

m = (y2 − y1)/(x2 − x1)

m = (−7 − (−1))/(3 − 6)

= −6/−3

= 2

Thus, the slope of the line is 2.

Using the coordinates of one of the points, say (6, −1), in the point-slope form, we obtain:

y − y1 = m(x − x1)y − (−1)

= 2(x − 6)y + 1

= 2x − 12

Subtracting 1 from both sides, we get:

y = 2x − 13

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The probability that the sample mean is greater than 168 is approximately 0.0655, or 6.6% (rounded to the nearest tenth of a percent).

To find the probability that the sample mean is greater than 168, we can use the central limit theorem and the properties of the normal distribution.

The central limit theorem states that for a large enough sample size (in this case, n = 50), the distribution of sample means will approach a normal distribution, regardless of the shape of the population distribution.

Given that the population mean is 164 and the population standard deviation is 18.65, we can calculate the standard deviation of the sample mean, also known as the standard error, using the formula:

Standard Error (SE) = Population Standard Deviation / √(Sample Size)

SE = 18.65 / √50

SE ≈ 2.636

Next, we need to standardize the value of 168 using the sample mean and the standard error. This allows us to calculate the probability using the standard normal distribution.

Z = (Sample Mean - Population Mean) / Standard Error

Z = (168 - 164) / 2.636

Z ≈ 1.516

To find the probability that the sample mean is greater than 168, we can look up the corresponding area under the standard normal curve to the right of Z = 1.516. This can be done using a standard normal distribution table or a statistical calculator.

Using a standard normal distribution table, we find that the area to the right of Z = 1.516 is approximately 0.0655.

Therefore, the probability that the sample mean is greater than 168 is approximately 0.0655, or 6.6% (rounded to the nearest tenth of a percent).

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Rolle's Theorem can be applied on \(-x^2 + 9x\) on [0, 9]

What is Rolle's Theorem?

Rolle's Theorem states that

1) If f is continuous on [a, b]

2) f is differentiable on (a, b)

3) f(a) = f(b)

Then there exist a point c in (a, b) such that \(f^{'}(c) = 0\)

Here, f(x) = \(-x^2 + 9x\)

f is continuous on [0, 9] as it is a polynomial function.

f is differentiable on (0, 9)

f(0) = \(-0^2+9\times 0 = 0\)

f(9) = \(-9^2+9 \times 9 = 0\)

f(0) = f(9)

So Rolle's Theorem has been applied here

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Answer:

Independent

Step-by-step explanation:

Answer: A function is a rule that assigns each value of the independent variable to exactly one value of the dependent variable.