a car is traveling at 35 miles per hour. what is the car's speed per second?


please help :(

Answer:

at 50 minutes both containers will be at 1000 ml having the same amount of water

Step-by-step explanation:

look at the image

The maximum height that the ball reaches is 120.89 ft and as such we can say that the ball reaches a height of both 110 ft and 120 ft.

We are told that;

The ball leaves the player's hand 4 feet above the ground. Thus;

s₀ = 4 ft

Initial velocity; v₀ = 85 ft/s

The general function that represents the height of the ball in this instance is;

h = -16t² + v₀t + s₀

Then plugging in the relevant values gives;

h = -16t² + 85t + 4

The x-coordinate of the vertex is from the formula; x = -b/2a

x = -85/(2 * -16)

x = 2.65625 seconds

Thus;

Maximum height = -16(2.65625)² + 85(2.65625) + 8 = 120.89 ft

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Answer:

15

Step-by-step explanation:

the formula for area is l×w=a so when you multiply the length with the width, you get 15.

Answer:

15 feet

Step-by-step explanation:

Since you are finding the AREA, you always have to multiply length by width. So, 5 ft x 3 ft= 15 ft

Answer:

550, 975, 1400, 1825, and 2250

Step-by-step explanation:

The opportunity cost for the Congo to produce additional diamonds is; 4 thousand units of corn.

Opportunity costs are defined as the benefits of an alternative decision when the decision maker is made to reject the alternative.

For example, the opportunity cost of going to college would be the earnings forgone.

The opportunity cost is calculated as the lost benefit when an alternative decision is not followed up.

Fractionally, we can say that the opportunity cost of producing one product A) to another (B) = Units of B/Units of A.

From the attached table, we can deduce the following;

United States opportunity cost to produce diamonds = 60/10 = 6

United States opportunity cost to produce corns = 10/60 = 1/6

Congo's opportunity cost to produce diamonds = 20/5 = 4

Congo's opportunity cost to produce corn = 5/20 = 1/4

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Answer:

9.333

Step-by-step explanation:

\(19. \: cross \: multiplying \\ 6a = 7 \times 8 \\ 6a = 56 \\ \frac{6a}{6} = \frac{56}{6 } \\ a =9.333\)

25. Cross multiplying

nx1 =0.19x12

n=2.28

Answer:

\(\Large \boxed{{19. \ a \approx 9.33}} \\ \\ \Large \boxed{25. \ n=2.28}\)

Step-by-step explanation:

(19)

\(\displaystyle \frac{6}{8} =\frac{7}{a}\)

Cross multiply.

\((6)(a)= (7)(8)\)

\(6a=56\)

Divide both sides by 6.

\(\displaystyle a = \frac{56}{6}=\frac{28}{3}\)

\(a \approx 9.33\)

(25)

\(\displaystyle \frac{1}{0.19} =\frac{12}{n}\)

Cross multiply.

\((1)(n)=(0.19)(12)\)

\(n=2.28\)

Answer:

B

Step-by-step explanation:

2x^2+8x+8=0

x^2+4x+4=0

(x+2)^2=0

so B, 1 solution

The relative frequency of adults who are engaging in less than the minimum amount of recommended moderate-intensity physical activity weekly is 92.16%.

The term 'relative' refers to an event that is being thought of in relation to or in proportion to another event.

As, per the given question.

The minimum standard for moderate-intensity aerobic activity weekly is 150 min.

All the values which are less than 150 min will be considered as the below specified standard for moderate-intensity aerobic activity.

The relative frequency for 0 - 49 min is 47.54%.

The relative frequency for 50 - 99 min is 32.77%.

The relative frequency for 99 - 149 min is 11.85%.

Thus, the cumulative of all relative frequencies will be;

= 47.54% + 32.77% + 11.85%

= 92.17%

Therefore, the percentage of adults who get less than the recommended amount of moderate-intensity physical activity per week is 92.16%.

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The complete question is -

The center for disease control and prevention (cdc) states that adults should engage in at least 75 min of vigorous-intensity aerobic activity or 150 min of moderate-intensity aerobic activity weekly. researchers gathered data from a random sample of adults who participated in the 2011–2012 national health and nutrition examination survey (nhanes).

What is the relative frequency of adults who are engaging in less than the minimum amount of recommended moderate-intensity physical activity weekly (less than 150 min)? Give your answer to two decimal places.

The highest score is 12794706708

What is mean ?

The average of a set of data is referred to as the mean in statistics and arithmetic. The simple arithmetic mean, geometric mean, and harmonic mean are some of the methods that can be used to calculate the mean. The basic arithmetic mean involves adding the numbers together and dividing the result by the number of observations.

At first (remaining + top player) /888 = 14514514

So remaining + top = 12888888432

Now after removing top

Remaining/777 = 121212

Remaining = 94181724

So top = 12888888432 - 94181724

           = 12794706708

12794706708 is the score of the top player

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We found that the acute angle between the lines l1 and l2 is approximately 47.8°. We then showed that the point A lies on the line l1. The lines l1 and l2 intersect at the point X, with coordinates (0, 1, 6). The distance between points A and X was found to be exactly 0. However, without specific values for B1 and B2, we could not determine the area of the triangle AB1B2 or the exact coordinates of B1 and B2.

To solve this problem, we'll go step by step.

(a) Finding the acute angle between l1 and l2:

The direction vectors of lines l1 and l2 are given by the coefficients of the parameters λ and μ. Let's call these direction vectors d1 and d2, respectively.

d1 = [2, -3, 4]

d2 = [5, -2, 5]

To find the acute angle between these two lines, we can use the dot product formula:

cos θ = (d1 · d2) / (|d1| * |d2|)

where · represents the dot product and |d1| and |d2| represent the magnitudes of the vectors d1 and d2, respectively.

Let's calculate this:

d1 · d2 = (2 * 5) + (-3 * -2) + (4 * 5) = 10 + 6 + 20 = 36

\(|d1| = \sqrt{(2^2) + (-3^2) + (4^2)} = \sqrt{4 + 9 + 16} = \sqrt{29}\)

\(|d2| = \sqrt{(5^2) + (-2^2) + (5^2)} = \sqrt{25 + 4 + 25} = \sqrt{54}\)

cos θ = 36 /( (\(\sqrt{29\)) * (\(\sqrt{54\))) ≈ 0.675

To find the acute angle θ, we can take the inverse cosine (arccos) of cos θ:

θ ≈ arccos(0.675) ≈ 47.8° (rounded to the nearest 0.1°)

Therefore, the acute angle between l1 and l2 is approximately 47.8°.

(b) Showing that A lies on l1:

To show that a point lies on a line, we substitute the coordinates of the point into the equation of the line and check if it satisfies the equation.

Point A has position vector A = [0, 1, 6]. Substituting these values into the equation of l1:

l1: r = [2, -3, 4] + λ[-1, 2, 1]

Substituting A = [0, 1, 6]:

[0, 1, 6] = [2, -3, 4] + λ[-1, 2, 1]

This equation can be rewritten as a system of equations:

2 - λ = 0

-3 + 2λ = 1

4 + λ = 6

Solving this system, we find:

λ = 2

Since λ = 2 satisfies the system of equations, we conclude that A lies on l1.

(c) Finding the coordinates of X:

To find the point of intersection between l1 and l2, we equate their respective equations:

l1: r = [2, -3, 4] + λ[-1, 2, 1]

l2: r = [2, -3, 4] + μ[5, -2, 5]

Equate the x, y, and z components separately:

For x:

2 - λ = 2 + 5μ

For y:

-3 + 2λ = -3 - 2μ

For z:

4 + λ = 4 + 5μ

Solving this system of equations, we find:

λ = 2

μ = 0

Substituting these values into either equation, we get:

X = [2, -3, 4] + 2[-1, 2

, 1] = [0, 1, 6]

Therefore, the coordinates of the point X are (0, 1, 6).

(d) Finding the exact value of the distance AX:

The distance between two points A and X can be calculated using the distance formula:

Distance \(AX = \sqrt{(x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2\)

Substituting the coordinates of A = [0, 1, 6] and X = [0, 1, 6]:

Distance \(AX = \sqrt{(0 - 0)^2 + (1 - 1)^2 + (6 - 6)^2) }= \sqrt{0 + 0 + 0\) = 0

Therefore, the exact value of the distance AX is 0.

(e) Finding the area of the triangle AB1B2:

To find the area of a triangle given the coordinates of its vertices, we can use the Shoelace formula or the cross product of two vectors formed by the triangle's sides. Since we have the coordinates of A, B1, and B2, let's use the cross product method.

Let's say vector AB1 = v1 and vector AB2 = v2.

Vector v1 = B1 - A = [x1, y1, z1] - [0, 1, 6] = [x1, y1 - 1, z1 - 6]

Vector v2 = B2 - A = [x2, y2, z2] - [0, 1, 6] = [x2, y2 - 1, z2 - 6]

The area of the triangle AB1B2 is given by:

Area = 0.5 * |v1 x v2|

The cross product of v1 and v2 is:

v1 x v2 = [y1 - 1, z1 - 6, x1] x [y2 - 1, z2 - 6, x2]

         = [(z1 - 6)(x2) - (y2 - 1)(x1), (x1)(y2 - 1) - (z1 - 6)(y1 - 1), (y1 - 1)(z2 - 6) - (z1 - 6)(y2 - 1)]

Since AX = XB1 = XB2, the vectors v1 and v2 are parallel. Hence, their cross product will be zero:

[(z1 - 6)(x2) - (y2 - 1)(x1), (x1)(y2 - 1) - (z1 - 6)(y1 - 1), (y1 - 1)(z2 - 6) - (z1 - 6)(y2 - 1)] = [0, 0, 0]

Solving these equations, we get:

(z1 - 6)(x2) - (y2 - 1)(x1) = 0

(x1)(y2 - 1) - (z1 - 6)(y1 - 1) = 0

(y1 - 1)(z2 - 6) - (z1 - 6)(y2 - 1) = 0

Since we don't have specific values for B1 and B2, we cannot determine the area of the triangle AB1B2.

(f) Finding the exact coordinates of B1 and B2:

Without specific values for B1 and B2, we cannot determine their exact coordinates.

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Answer:

Step-by-step explanation:

nntsyhjthmtyghmghmghmhmhm

The total pressure of a mixture of two gases is the finalized value of the summation of the total pressure of each of the gases.

The total pressure of a mixture of two gases can be expressed in the form of an equation, as below,

Total Pressure = Pressure of Gas 1 + Pressure of Gas 2

It is noteworthy to be mentioned that the partial pressure of an individual gas is completely in contrast to that of the individual pressure of a gas. It can be expressed in the form of an equation, as below,

Partial Pressure = Total Pressure of Gas x Mole Fraction of Gas

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The finite population correction factor is used in computing the standard error of the sample mean when the sample size is smaller than 5% of the population size.

The finite population correction factor is a adjustment made to the standard error of the sample mean when the sample is taken from a finite population, rather than an infinite population.

It accounts for the fact that sampling without replacement affects the variability of the sample mean.

When the sample size is relatively large compared to the population size (more than half), the effect of sampling without replacement becomes negligible, and the finite population correction factor is not necessary.

In this case, the standard error of the sample mean can be estimated using the formula for sampling with replacement.

On the other hand, when the sample size is small relative to the population size (less than 5%), the effect of sampling without replacement becomes more pronounced, and the finite population correction factor should be applied.

This correction adjusts the standard error to account for the finite population size and provides a more accurate estimate of the variability of the sample mean.

Therefore, the correct answer is option 2: the finite population correction factor is used when the sample size is smaller than 5% of the population size.

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Historical scientists deal with falsification by rigorously analyzing evidence, using peer review and scholarly discourse, and revising hypotheses based on new discoveries and interpretations.



Historical scientists deal with falsification by employing rigorous methodologies and critical analysis of evidence. They strive to gather as much relevant data as possible to test hypotheses and theories. This is done through meticulous research, including the examination of primary sources, archaeological artifacts, historical records, and other forms of evidence. Historical scientists also engage in peer review and scholarly discourse to subject their findings to scrutiny and criticism.

The mechanism used by historical scientists to falsify hypotheses involves a combination of evidence-based reasoning and the application of established principles of historical analysis. They aim to construct coherent and logical explanations that are supported by the available evidence. If a hypothesis fails to withstand scrutiny or is contradicted by new evidence, it is considered falsified or in need of revision. Historical scientists constantly reassess and refine their hypotheses based on new discoveries, reinterpretation of existing evidence, and advancements in research techniques. This iterative process helps to refine our understanding of the past and ensures that historical knowledge remains dynamic and subject to revision.

Therefore, Historical scientists deal with falsification by rigorously analyzing evidence, using peer review and scholarly discourse, and revising hypotheses based on new discoveries and interpretations.

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Answer:

1

Step-by-step explanation:

Twenty-Six is not a multiple of three so you know it won't be 26. Counting by threes goes 3, 6, 9, 12, 15, 18, 21, 24, 27, 30. Twenty-seven is the closest number to 26 which is higher than 26. Twenty-six + 1 = 27. That means that 1 is the answer.

Answer:

1 bottles and the last day

The effective interest on £2000 at a 3% interest rate compounded quarterly over a period of 4 years is approximately £245.15.

To calculate the effective interest, we need to use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the future value of the investment (including interest)

P = the principal amount (initial investment)

r = the annual interest rate (as a decimal)

n = the number of compounding periods per year

t = the number of years

In this case, the principal amount (P) is £2000, the annual interest rate (r) is 3% (or 0.03 as a decimal), the compounding is done quarterly (n = 4), and the investment period (t) is 4 years.

Plugging the values into the formula:

A = £2000(1 + 0.03/4)^(4*4)

= £2000(1 + 0.0075)^16

= £2000(1.0075)^16

≈ £2000(1.126825)

Calculating the future value:

A ≈ £2253.65

To find the effective interest, we subtract the principal amount from the future value:

Effective Interest = £2253.65 - £2000

≈ £253.65

Therefore, the effective interest on £2000 at a 3% interest rate compounded quarterly after 4 years is approximately £253.65.

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Answer:

C. $26 is the closest estimate

Step-by-step explanation:

127.59 rounded is 128

128 x 0.2 = 25.6
25.6 is closest to 26 so C is the answer

so that is the closest estimate
this should be correct! :)

The probability that a 34 square foot metal sheet has at least 9 defects is 0.4308, rounded to four decimals.

Given that the sheet metal has an average of 7 defects per 20 square feet, we can find the rate parameter (λ) of the Poisson distribution as follows:

λ = (7 defects / 20 sq ft) = 0.35 defects per square foot

Let X be the number of defects in a 34 square foot metal sheet. Since X follows a Poisson distribution with rate parameter λ, we can find the probability that X is at least 9 defects using the cumulative distribution function (CDF) of the Poisson distribution:

P(X ≥ 9) = 1 - P(X < 9) = 1 - F(8)

where F(k) is the CDF of the Poisson distribution with rate parameter λ evaluated at k.

Using the Poisson distribution formula for F(k), we have:

F(k) = P(X ≤ k) = ∑(i=0 to k) [(λ^i * e^(-λ)) / i!]

Using a calculator or software, we can find that:

F(8) = P(X ≤ 8) = 0.5692

Therefore, we have:

P(X ≥ 9) = 1 - F(8) = 1 - 0.5692 = 0.4308

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Answer:

You cannot list every single multiple of 15, but some of them are 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, and 195.

Step-by-step explanation:

Answer:

\(2x^2+xy-3y^2\)

Step-by-step explanation:

Start by taking everything out of the parentheses:

\(3x^2-2xy-2y^2-x^2-(-3xy)-(y^2)\)

Note two negatives make a positive:

\(3x^2-2xy-2y^2-x^2+3xy-y^2\)

Combine like terms:

\(3x^2-x^2-2xy+3xy-2y^2-y^2\)

Simplify

\(2x^2+xy-3y^2\)

Answer:

  2. 26.2 m

  3. 117.2 cm

Step-by-step explanation:

You want the perimeters of two figures involving that are a composite of parts of circles and parts of rectangles.

The circumference of a circle is given by ...

  C = πd . . . . . where d is the diameter

The length of the semicircle of diameter 12.6 m will be ...

  1/2C = 1/2(π)(12.6 m) = 6.3π m ≈ 19.8 m

The two lighted sides of the rectangle have a total length of ...

  3.2 m + 3.2 m = 6.4 m

The length of the light string is the sum of these values:

  19.8 m + 6.4 m = 26.2 m

The length of the string of lights is about 26.2 meters.

The perimeter of the figure is the sum of four quarter-circles of radius 11.4 cm, and 4 straight edges of length 11.4 cm.

Four quarter-circles total one full circle in length, so we can use the formula for the circumference of a circle:

  C = 2πr

  C = 2π·(11.4 cm) = 22.8π cm ≈ 71.6 cm

The four straight sides total ...

  4 × 11.4 cm = 45.6 cm

The perimeter of the figure is the sum of the lengths of the curved sides and the straight sides:

  71.6 cm + 45.6 cm = 117.2 cm

The design has a perimeter of about 117.2 cm.

__

Additional comment

The bottom 12.6 m edge in the figure of problem 2 is part of the perimeter of the shape, but is not included in the length of the light string.

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Answer:

20m would be right and correct

Answer:

198

Step-by-step explanation:

rectangular side (9,3)

9x3=27

27x2= 54 (because there's rectangular sides)

Square end(6,3)

6x3=18

18x2=36(two square sides)

top&bottom sides

6x9=54

54xsquared2=108(two sides)

add all together

54+36+108=198cm(squared)

Answer:

d

Step-by-step explanation:

When you exponent an exponent with another exponent, you multiply them together

\(Answer:\ x^\frac{1}{2}\)

Step-by-step explanation:

\((x^\frac{1}{6})^3=\\\\ x^\frac{1*3}{6}=\\\\ x^\frac{3}{2*3} =\\\\x^\frac{1}{2}\)

A team that controls decisions about and execution of a complete range of tasks, including acquisitions, operations, quality control, maintenance, and shipping, is known as a cross-functional team. This type of team consists of individuals from different functional areas or departments within an organization who come together to work collaboratively on specific projects or goals.

Cross-functional teams are designed to break down silos and foster cooperation and communication between different departments or functions. By including representatives from various areas, such as finance, marketing, operations, and logistics, cross-functional teams bring together diverse perspectives, expertise, and skills to address complex issues and achieve common objectives.

These teams are responsible for making decisions related to their assigned tasks, executing plans, and ensuring the successful completion of the project or initiative. Their comprehensive range of responsibilities allows for greater efficiency, coordination, and integration across different functions, leading to improved outcomes and performance.

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Answer:

  D.  -3 must be a root

Step-by-step explanation:

You want to know what it means that dividing 2x² +9x +9 by x+3 leaves a remainder of zero.

The remainder theorem tells you that dividing f(x) = (2x² +9x +9) by (x +3) has a remainder equal to f(-3). When that remainder is zero, it tells you that ...

  f(-3) = 0   ⇒   -3 is a root of the polynomial (2x² +9x +9), choice D.

__

Additional comment

It also tells you that 2x+3 = 0 will give you the other root: x = -3/2.

<95141404393>

The point estimate that can be used to estimate the true mean population is 11.97 inches.

To find the point estimate that can be used to estimate the true population mean, we need to take the sample mean of the given observations. The formula for the sample mean is:

Mod(X)= (Σx) / n

where Mod(X)  is the sample mean, Σx is the sum of all the observations, and n is the size.

Using the given observations, we can calculate the sample mean as follows:

Mod(X) = (11.3 + 10.7 + 12.4 + 15.2 + 10.1 + 12.1 + 16.2 + 10.5 + 11.4 + 11.0 + 10.7 + 12.0) / 12

Mod(X) = 11.97

Therefore, the point estimate that can be used to estimate the true mean population is 11.97 inches.

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