Kenji and Ramon are running cro country. Kenji run at a rate of 150 meter per minute

An equivalent ratio of the given ratio 6/7 is; 12/14

To find equivalent ratios, we will just multiply the given ratio by any number that is equivalent to 1 such as 2/2, 3/3, 4/4, 5/5 e.t.c

Now, we want to find equivalent ratio of 6/7. Applying the procedure above, we can say that;

Equivalent ratio = (6/7) * (2/2) = 12/14

Thus, an equivalent ratio of 6/7 is; 12/14

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500 grams is approximately equal to 1.1023 pounds  ( rounded to four decimal places )

The conversion factor to convert grams to pounds is 0.00220462

1 gram = 0.00220462 pounds

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The mass in pounds = The mass in grams × conversion factor

Substitute the values in the equation

1 gram = 0.00220462 pounds

500 grams =  500 × 0.00220462

Multiply the numbers

= 1.1023 pounds  ( rounded to four decimal places )

Therefore, 250 grams is 0.5511 pounds

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Answer:

m∠Y  = 40°

Step-by-step explanation:

The sum of the three angles of a triangle must equal 180°

Thus

m∠W + m∠X + m∠y = 180°

→   (10x + 17) +  (2x - 9) + (3x + 7) = 180

→   10X + 17 + 2X + 9 + 3X + 7 = 180

Collecting like terms
→  10X + 2X + 3X + 17 - 9  + 7  = 180°

→ 15x + 15 = 180

Subtract constant 15 from both ssides:

→ 15x + 15 - 15 = 180 - 15

→ 15x = 165

Divide both sides by 15

→ 15x/15 = 165/15

→ x = 11

m∠Y = 3x + 7

m∠Y = 3 x 11 + 7

m∠Y  = 33 + 7

m∠Y  = 40°

Not really ready. But will be! FYI that's not really a question.

Answer:

What does this mean?

Step-by-step explanation:

......

Angelina drove for  0.83 hours (or approximately 50 minutes) before her stop.

The equation that could be used to solve for the time $t$ in hours that Angelina drove before her stop is:

$80t + 100(3 - t - \frac{1}{3}) = 250$

Let's break down the information given. Angelina drove at an average rate of 80 kph for a certain amount of time, which we want to find. After that, she stopped for 20 minutes (or $\frac{1}{3}$ of an hour) for gas. Then, she continued driving at an average rate of 100 kph. The total trip time, including the stop, was 3 hours.

To solve for the time Angelina drove before her stop, we can set up an equation based on the distance she traveled. The distance traveled at 80 kph is given by $80t$, where $t$ represents the time in hours. The distance traveled after the stop at 100 kph is $100(3 - t - \frac{1}{3})$, where $3 - t - \frac{1}{3}$ represents the remaining time after the stop.

The sum of these distances should equal the total distance traveled, which is 250 km. Therefore, we set up the equation $80t + 100(3 - t - \frac{1}{3}) = 250$.

By solving this equation, we can find the value of $t$, which represents the time in hours that Angelina drove before her stop.

To solve the equation, we can start by simplifying the expression on the right side:

$80t + 100(3 - t - \frac{1}{3}) = 250$

First, we can simplify the expression $3 - t - \frac{1}{3}$:

$3 - t - \frac{1}{3} = 2\frac{2}{3} - t = \frac{8}{3} - t$

Now, we substitute this expression back into the equation:

$80t + 100(\frac{8}{3} - t) = 250$

Next, we distribute the 100 to both terms inside the parentheses:

$80t + \frac{800}{3} - 100t = 250$

Combining like terms:

$-20t + \frac{800}{3} = 250$

To isolate the variable $t$, we can subtract $\frac{800}{3}$ from both sides:

$-20t = 250 - \frac{800}{3}$

To simplify the right side, we need a common denominator for 250 and $\frac{800}{3}$, which is 3:

$-20t = \frac{750}{3} - \frac{800}{3}$

Subtracting the fractions:

$-20t = \frac{-50}{3}$

Finally, we divide both sides by -20 to solve for $t$:

$t = \frac{\frac{-50}{3}}{-20} = \frac{50}{60} = \frac{5}{6}$

Therefore, Angelina drove for $\frac{5}{6}$ or 0.83 hours (or approximately 50 minutes) before her stop.

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To find the area between two z-scores on a calculator, we use the command "normalcdf" on most scientific calculators.

This command calculates the area under the normal distribution curve between two specified z-scores. We need to input the two z-scores and the mean and standard deviation of the normal distribution, which can be obtained from the problem statement or by calculating them from the given data.

Another command that is used in conjunction with "normalcdf" is "invNorm". This command can be used to find the z-score corresponding to a given area under the normal distribution curve. It is used when we are given the area and we need to find the corresponding z-score.

Together, these two commands are useful for solving problems that involve normal distributions, such as finding probabilities, finding critical values, or constructing confidence intervals. It is important to understand how to use these commands properly in order to perform accurate and efficient calculations.

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The residual life expectancy of a pug is approximately 2.52 years.

To compute the residual, we need to subtract the observed value (life expectancy of a pug) from the predicted value. In this case, the predicted value is 7.48 years.

Let's assume that the observed value is the average life expectancy of pugs. Please note that life expectancies can vary depending on various factors, and this figure is used here for illustration purposes.

Let's say the observed value is 10 years.

The residual can be calculated as follows:

Residual = Observed Value - Predicted Value

Residual = 10 years - 7.48 years

Residual ≈ 2.52 years

Therefore, the residual is approximately 2.52 years.

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Answer:

you use division then add then you get the answer

Step-by-step explanation:

Check the picture below.

to check where the functions intersect, we can simply set them equal to each other so (x-2)² = 2x - 1, anyhow, not to bore you to death with that, it's as the picture shows it, at x = 1 and x = 5, so those are our bounds.

to get the R² part of the washer, what I do is using the "area under the curve" method of f(x) - g(x), where g(x) is the axis of rotation and f(x) is the farthest radius, so to get R² I'd process (x-2)² - (-1), that'd give me R and then I'd square that.

to get r², I do pretty much the same thing, f(x) - g(x) where g(x) is the axis of rotation and f(x) is the closest radius, in this namely (2x - 1) - (-1), and that'd give "r" and then we can square that to get r².

\(\begin{cases} R = 2x\\ r = x^2-4x+5 \end{cases}\hspace{5em} \begin{array}{llll} \stackrel{R^2}{4x^2}~~ - ~~\stackrel{r^2}{(x^4-8x^3+26x^2-40x+25)} \\\\\\ -x^4+8x^3-22x^2+40x-25 \end{array} \\\\[-0.35em] ~\dotfill\\\\ \displaystyle \pi \int\limits_{1}^{5}(-x^4+8x^3-22x^2+40x-25)dx \\\\\\ \pi \left[ -\cfrac{x^5}{5}+2x^4-\cfrac{22x^3}{3} +20x^2-25x\right]_{1}^{5}\implies \cfrac{1408\pi }{15}\)

Answer: No

Step-by-step explanation:

No, it is not possible for the basketballs to collide.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

You shoot a basketball to try to knock your friend’s shot away from the hoop.

The height (in feet) of your friend's basketball t seconds after he shoots is represented by -16t² + 25t + 6.25.

The height (in feet) of your basketball t seconds after you shoot is represented by  -16t² + 25t + 5.5.

You and your friend shoot at the same time.

That means,

-16t² + 25t + 6.25 =  -16t² + 25t + 5.5.

6.25 ≠ 5.5

Hence, no collision is possible.

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The probability that the amount of time Gary takes to assist the next customer is:

To solve this problem, assume that the time it takes Gary to assist a customer follows an exponential distribution with a rate parameter λ = 1/3 customers per minute (since he assists three customers per hour on average).

a) To determine the probability that the time is between 6 and 12 minutes, calculate the cumulative distribution function (CDF) of the exponential distribution at t = 12 and subtract the CDF at t = 6.

P(6 < X < 12) = F(12) - F(6) = (1 - exp(-λ × 12)) - (1 - exp(-λ × 6))

Substituting λ = 1/3:

P(6 < X < 12) = (1 - exp(-(1/3) × 12)) - (1 - exp(-(1/3) × 6))

= 0.4168.

b) To determine the probability that the time is between 26 and 35 minutes, use the same approach:

P(26 < X < 35) = F(35) - F(26) = (1 - exp(-λ × 35)) - (1 - exp(-λ × 26))

Substituting λ = 1/3:

P(26 < X < 35) = (1 - exp(-(1/3) × 35)) - (1 - exp(-(1/3) × 26))

= 0.0404.

c) To determine the probability that the time is either less than 14 minutes or greater than 24 minutes, calculate the complementary probabilities:

P(X < 14) = 1 - exp(-λ × 14)

P(X > 24) = 1 - F(24) = 1 - (1 - exp(-λ × 24))

Substituting λ = 1/3:

P(X < 14) = 1 - exp(-(1/3) × 14)

P(X > 24) = 1 - (1 - exp(-(1/3) × 24))

= 0.6032

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Answer:

1738

Step-by-step explanation:

Melissa has $11 remaining after purchasing 3.6 pounds of candy that cost $2.50 per pound.

Two or more expressions with an Equal sign is called as Equation.

Melissa had $20 to purchase candy for a party.

She purchased 3.6 pounds of candy that cost $2.50 per pound

Melissa spent 3.6 x $2.50

= 9 on candy.

Subtracting this amount from her initial $20, we get:

$20 - $9 = $11

Therefore, Melissa has $11 remaining after purchasing 3.6 pounds of candy that cost $2.50 per pound.

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Answer:jkkjjkj098765

Step-by-step explanation:

iuytrfdghyui8

Answer:

16

Step-by-step explanation:

4×.75=3

8×.75=6

16×.75=12

20×.75=15

Answer:

whaa its the same type of question... 16...

Step-by-step explanation:

again, what grade are you in smh

The probability that this whole shipment will be accepted if a particular shipment of thousands of ibuprofen tablets actually has a 4% rate of defects is 0.9660

This problem can be solved by permutations and combinations. This can also be solved using binomial probability experiment.

Let, then we could reasonably assume that follows a binomial distribution.

Given P = 0.01 and n = 29

P(x) = nCx.px.(1-p)^(n-x)

nCx = n! [x!-(n-x)!]

P = P(X<=1).

X<=1, if X = 0 and X = 1,

P(0) + P(1)

P(0) = 1.(0.01)^(0).(0.99)^(29) = 0.74717

P(1) = 29C1.(0.01)^(1).(1-0.01)^(29-1)

P(1) = 0.21887

P = P(0) + P(1)

P = 0.74717+0.21887 = 0.9660

So, therefore the probability that this whole shipment will be accepted if a particular shipment of thousands of ibuprofen tablets actually has a 4% rate of defects is 0.9660

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Answer:

6 months: 7200

8 months: 9600

Step-by-step explanation:

Given equations:

1200 * 6

1200 * 8

Solve 6 months:

1200 * 6

= 7200

Solve 8 months:

1200 * 8

= 9600.

The value of the variable is 4√5. Then the correct option is C.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The similar triangles are shown in the diagram.

16 / x = x / 5

    x² = 16 × 5

      x = 4 √5

Then the value of the variable is 4√5.

Then the correct option is C.

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Answer: It is one out of ten or 1/10 or 10%

After w weeks, the expression for the total cost of games is 250 + 4000w.

What is Expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

An algebraic expression known as a linear expression has terms that are either constants or variables raised to the first power. Alternatively put, none of the exponents can be greater than 1.

As an illustration, while x is a variable raised to the first power, x2 is a variable raised to the second power. An illustration of a constant is 5.

Linear expressions are what the two expressions are. One variable raised to the power of one makes up a linear expression.

250 + 1000g.

Where: g(w) = 4w.

250 + 1000(4w).

250 + 4000w.

Therefore, number of games produced in w weeks is 250 + 4000w.

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Answer:

−28hw+9w+3

Step-by-step explanation:

5w(1-8h) = 5w-40wh

+12wh = -28hw

-28hw+5w+5w = -28hw+10w

-w = -28hw+9w

+3 = -28hw+9w+3

The rectangle in the example has a 173.70 cm perimeter.

The perimeter of a form is the space surrounding its edge. you can find the perimeter of various forms by summing the lengths of their sides.

Given, In a rectangle, the diagonal amount with the base is 72. The diagonal is 2 cm bigger than the base.

Since the Diagonal is 72 cm

and also given base = diagonal - 2

Base = 70

Because Diagonal ² = base² + height²

height² = 72² - 70²

Height² = 284

Height = 16.85

Thus the perimeter = 2*(base + height)

Perimeter of rectangle = 2 * (70 + 16.85)

the perimeter of the rectangle = 173.70

Therefore, the perimeter of the given Rectangle is 173.70 cm.

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The value of  sin (90° - 9) is 11/15, Option A is correct.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Using the trigonometric identity sin(90° - θ) = cos(θ), we have:

sin(90° - 9) = cos(9)

To evaluate cos(9) in degrees,

cos(θ) = cos(π/2 - θ)

Substituting θ = 9 degrees, we get:

cos(9) = cos(π/2 - 9°)

Using radians, π/2 - 9° = 1.4661

cos(9) = 0.9781

Therefore, sin(90° - 9) = 0.9781, which is equivalent to 11/15 when simplified.

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The rules to plot the graph of the transformed function is explained clearly.

The graph of a function can be transformed by either shifting it in the right, left, up or down.

When the transformation is rightwards, the function becomes as g(x - a).

For left shifting it is g(x + a).

Suppose the function be g(x).

The transformation of g(x) implies change of its position on the coordinate axis as well as its size keeping the shape as the same.

If it is shifted by h units rightwards.

Then, it can be written as g(x - h)

For left shift of h units it is given as g(x + h).

Both the above transformation implies that the function f(x) will have same value at x = 0 and x = h or x = -h.

Similarly, it can be dilated as ag(x).

Which signifies the value of g(x) at any value of x is increased by a factor of a.

Hence, the  graph of a transformed function can be plotted by using the rules explained in the answer.

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To determine the number of points on the curve x^2/5 + y^2/5 = 1 in the xy-plane where the curve has a horizontal tangent line, we can analyze the equation and its derivative.

First, let's differentiate the equation implicitly with respect to x:

d/dx(x^2/5) + d/dx(y^2/5) = d/dx(1)

(2x/5) + (2y/5) * dy/dx = 0

Next, we solve for dy/dx:

(2y/5) * dy/dx = -(2x/5)

dy/dx = -(2x/5) / (2y/5)

dy/dx = -x / y

For a tangent line to be horizontal, the slope dy/dx must equal zero. In this case, we have:

-x / y = 0

Since the numerator is zero, we can conclude that x = 0 for a horizontal tangent line.

Substituting x = 0 back into the original equation x^2/5 + y^2/5 = 1:

0 + y^2/5 = 1

y^2/5 = 1

y^2 = 5

Taking the square root of both sides:

y = ±√5

Hence, there are two points on the curve x^2/5 + y^2/5 = 1 where the tangent line is horizontal, corresponding to the coordinates (0, √5) and (0, -√5) in the xy-plane.

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A factor in analysis of variance is defined as a categorical independent variable that explains variation in a response, or dependent, variable.

This means that the factor is a grouping variable that separates the observations into distinct categories or levels that we believe may have an effect on the response variable. The response variable is a quantitative dependent variable which has variation that we are attempting to explain. We use the factor to explain the differences or variability in the response variable. It is important to note that the factor can only explain differences if there is variation in the response variable to begin with. If there is no variation in the response variable, then the factor will not have an effect. In summary, the factor is a categorical variable that we use to explain the variation in a quantitative dependent variable. This is a long answer but I hope it helps clarify the concept of a factor in analysis of variance.
In analysis of variance, a factor is defined as a categorical independent variable that explains variation in a response, or dependent, variable.

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Hi! To find a set of the smallest possible size that has both {1, 2, 3, 4, 5} and {2, 4, 6, 8, 10} as subsets, follow these steps:

1. List out the given subsets: {1, 2, 3, 4, 5} and {2, 4, 6, 8, 10}.
2. Combine the elements of both subsets without repeating any numbers: {1, 2, 3, 4, 5, 6, 8, 10}.
3. The combined set is {1, 2, 3, 4, 5, 6, 8, 10}, which has a size of 8.

So, the smallest possible set that has both {1, 2, 3, 4, 5} and {2, 4, 6, 8, 10} as subsets is {1, 2, 3, 4, 5, 6, 8, 10}.

The smallest possible set that includes both  {1, 2, 3, 4, 5} and {2, 4, 6, 8, 10}  subsets is {1, 2, 3, 4, 5, 6, 8, 10}.

To find a set of the smallest possible size that has both {1, 2, 3, 4, 5} and {2, 4, 6, 8, 10} as subsets, follow these steps:
1. Identify the given subsets: {1, 2, 3, 4, 5} and {2, 4, 6, 8, 10}.
2. Combine the elements from both subsets without repeating any numbers.
3. Organize the combined elements in ascending order.
Your answer: The smallest possible set that includes both subsets is {1, 2, 3, 4, 5, 6, 8, 10}.

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Hi! To find a set of the smallest possible size that has both {1, 2, 3, 4, 5} and {2, 4, 6, 8, 10} as subsets, follow these steps:

1. List out the given subsets: {1, 2, 3, 4, 5} and {2, 4, 6, 8, 10}.
2. Combine the elements of both subsets without repeating any numbers: {1, 2, 3, 4, 5, 6, 8, 10}.
3. The combined set is {1, 2, 3, 4, 5, 6, 8, 10}, which has a size of 8.

So, the smallest possible set that has both {1, 2, 3, 4, 5} and {2, 4, 6, 8, 10} as subsets is {1, 2, 3, 4, 5, 6, 8, 10}.

The smallest possible set that includes both  {1, 2, 3, 4, 5} and {2, 4, 6, 8, 10}  subsets is {1, 2, 3, 4, 5, 6, 8, 10}.

To find a set of the smallest possible size that has both {1, 2, 3, 4, 5} and {2, 4, 6, 8, 10} as subsets, follow these steps:
1. Identify the given subsets: {1, 2, 3, 4, 5} and {2, 4, 6, 8, 10}.
2. Combine the elements from both subsets without repeating any numbers.
3. Organize the combined elements in ascending order.
Your answer: The smallest possible set that includes both subsets is {1, 2, 3, 4, 5, 6, 8, 10}.

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To determine the probability that Lisa will win the dinner for two, we need to compare the number of cookies she bought to the total number of cookies sold.

The total number of cookies sold is 717, and Lisa bought 31 cookies. Therefore, the probability that Lisa's cookie will be chosen as the winner depends on the ratio of the number of cookies she bought to the total number of cookies sold.

Probability = Number of Lisa's Cookies / Total Number of Cookies Sold

Probability = 31 / 717

Probability ≈ 0.0432

Therefore, the probability that Lisa will win the dinner for two is approximately 0.0432 or 4.32%.

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Functions, graphs, and combining functions are essential concepts in mathematics. Trigonometric, exponential, logarithmic, and inverse functions each have unique characteristics and can be represented graphically

Functions, graphs, and combining functions are important concepts in mathematics.

Trigonometric functions, exponential functions, logarithmic functions, and inverse functions are all types of functions that can be represented graphically.

Trigonometric functions, such as sine, cosine, and tangent, are used to model periodic phenomena and have specific patterns in their graphs.

Exponential functions, on the other hand, grow or decay rapidly and are commonly used to represent population growth, radioactive decay, or compound interest. Logarithmic functions are the inverse of exponential functions and are used to solve equations involving exponential quantities.

When it comes to combining functions, you can perform operations such as addition, subtraction, multiplication, and composition. Addition and subtraction involve adding or subtracting corresponding values of two or more functions.

Multiplication combines the outputs of two functions by multiplying them together. Composition is the process of applying one function to the output of another function.

To understand functions better, it is helpful to graph them. Graphing functions allows you to visualize their behavior, identify key features such as intercepts and asymptotes, and make predictions based on the graph.

In summary, functions, graphs, and combining functions are essential concepts in mathematics. Trigonometric, exponential, logarithmic, and inverse functions each have unique characteristics and can be represented graphically.

Understanding these concepts and their graphs can help solve problems and make predictions in various fields of study.

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Answer:

1. D) Both b) and c)

2. B) Cosine Law

3. B) Find the measures of angles and sides that we can't physically measure.

Step-by-step explanation:

1. To solve non-right triangles we use Sine Law and Cosine Law.

2. If 3 sides lengths were given and you were asked to find an angle, you would use the Cosine Law.

3.Trigonometry is used in real life to find the measures of angles and sides that we can't physically measure.