what is -34÷50+(-12)​

Answer:

no, it is not a proportional relationship.

Step-by-step explanation:

if you divide 315 by 175 you get 1.8

if you multiply 315 by 1.8, you don’t get 420. therefore this is not a proportionally relationship.

hope this helps!

Answer:

f=(x^2/2)+(9x/2)

Step-by-step explanation:

Answer:

The cubic function f(x) = x3 is symmetric about the origin (it is an odd function). Here are some types of functions that are odd: Lines Through The Origin – any line with a zero y intercept (b = 0) and a nonzero slope (m not zero) will have equation f(x) = mx.

Step-by-step explanation:

Answer: No

f(x) = x³ + 2x − 5

Step-by-step explanation:

No

f(x) = x³ + 2x − 5

If you invest $3,750 at the end of each of the next six years at an interest rate of 1.9% per annum, you will have approximately $23,596 after 6 years.

To calculate the total amount accumulated after 6 years, we can use the formula for the future value of an ordinary annuity. The formula is given as:

Future Value = Payment * [(1 + Interest Rate)^n - 1] / Interest Rate

Here, the payment is $3,750, the interest rate is 1.9% per annum (or 0.019 as a decimal), and the number of periods (years) is 6.

Substituting the values into the formula:

Future Value = $3,750 * [(1 + 0.019)^6 - 1] / 0.019

= $3,750 * (1.019^6 - 1) / 0.019

≈ $23,596

Therefore, after 6 years of investing $3,750 at the end of each year with a 1.9% interest rate per annum, you would have approximately $23,596. Hence, the correct answer is $23,596.

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The probability that the weight will be less than 4504 grams is 0.9713.

We need to standardize the value 4504 using the given mean and variance, and then use the standard normal distribution table to find the corresponding probability.

The standard deviation is the square root of the variance: √391876≈626.05

So, the z-score for a weight of 4504 grams is:

z=(4504−3315)/626.05≈1.8974

Using a standard normal distribution table, we find that the probability of a z-score being less than 1.8974 is approximately 0.9713.

Therefore, the probability that a newborn baby boy born at the local hospital will weigh less than 4504 grams is approximately 0.9713.

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Answer:

0.765 km

Step-by-step explanation:

85*9=765 m

765/1000 to get km

0.765 km

Answer: 120

Step-by-step explanation: divide 24 by 5 to get 4.8 so its 4.8 minutes for one question

25 x 4.8 = 120

(first base + second base)x height ÷ 2

Answer:

256x^8

Step-by-step explanation:

Hope this helped

Maybe mark brainiest?

Answer: The mean, which is needed to be rounded to the nearest tenth, would be 10.6.

Step-by-step explanation:

Since this question is asking for the mean weight for eight cats, I will simply tell you what is the mean.

A mean of a data set is when you add the total of all of the numbers in the data plot and divide that number by how many numbers you added up. It is painfully a lot of math to do, so that's why it's really MEAN!

In this case, you will need to add "6, 13, 6, 14, 8, 13, 11, & 14" up together to find the total number which is 85.

Now, since there is eight numbers in this data plot, you divide 85 by 8 and you would get 10.625. To the nearest tenth, it would round to 10.6.

Therefore, the pet store's eight cats have an average weight of 10.6 pounds per cat. Hope this helps! :)

-From A Fifth Grade Honors Student

Answers:  Choice A and Choice E

0.82B  and  B-0.18B

========================================================

Explanation:

B is the cost of the game (some unknown amount). Subtract off 0.18B to indicate a 18% reduction in the price. That's how we get choice E.

Simplifying choice E leads us to choice A. Notice that 1 - 0.18 = 0.82; which represents 100% - 18% = 82%. After the discount, Bo is paying 82% of the original price.

Side note: Choice B indicates an 18% increase. Choices C and D don't represent percentage decreases (rather they're decreasing by a fixed amount regardless of what B is).

Answer:

0.18B is neither of these.  

B-0.18 is neither of these.

0.82B is calculate the percent he pays, then convert it to a decimal and multiply to get the final price.

B-0.18B is calculate the dollar amount of discount and subtract it from the original.

Step-by-step explanation:

0.18B will tell you what 18% of the price, B, is, but does not tell you anything else.

B-0.18 will take the price, B, and subtract $0.18 from it.  It does not find a percentage.

0.82B is the same as taking 82% of B.  We would do this because 100% of the price - 18% discount = 82%; 82% = 82/100 = 0.82.

B-0.18B takes the price, B, and subtracts 18% of B.  18%=18/100 = 0.18, so 0.18B is 18% of B.

The answer that describes the polygon RSTU is as follows:

A quadrilateral is a polygon with 4 sides. Therefore, let's use the properties to find the name of the shape  RSTU as follows:

The polygon has 4 sides therefore, it is a quadrilateral.

The quadrilateral has opposite side parallel to each other. The opposite sides are RS and TU.

A trapezoid is a quadrilateral with only one pair of opposite side parallel to each other.

Therefore, the shapes that defines the polygon are as follows:

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The ability for Nike to manufacture its own shoes and then build stores for distribution is an example of Forward Integration.

What is forward integration ?

In order to lower manufacturing costs and increase efficiency, a sort of vertical integration known as "forward integration" moves up the supply chain.

An operational competency is what?

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The critical t-value is approximately 1.753.

To find the critical value for a 96% confidence interval with a sample size of 15, we need to determine the t-value from the t-distribution table. The t-distribution table is a statistical tool used to determine the probability of a t-value given the degrees of freedom (df) and the desired level of significance (α).

In this case, we have a sample size of 15, which means our degrees of freedom are 14 (n - 1). Looking at a t-distribution table for 14 degrees of freedom and a 96% confidence interval.

This means that if we were to construct a confidence interval from a sample size of 15, the margin of error would be calculated by multiplying the critical t-value of 1.753 by the standard deviation of the sample and dividing by the square root of the sample size. The resulting interval would contain the population mean with 96% confidence.

It's essential to note that the critical value will change as the sample size and confidence level change. Therefore, it's crucial to use the correct table to find the corresponding critical values for a given dataset's sample size and confidence level.

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Answer:

Radius of the circle is 15 inches.

Step-by-step explanation:

Relation between length of arc, radius and the angle subtended by the arc on center is:

\(\theta = \dfrac{l}{r} ..... (1)\)

where \(\theta\) is the central angle in radians subtended by arc

\(l\) is the length of arc

\(r\) is the radius of arc

We are Given the following details:

\(l = \dfrac{5\pi}{4}\ inch\)

\(\theta = 15^\circ\)

We know that \(\pi \ radians = 180 ^\circ\)

Converting \(\theta\) to radians:

\(\theta =\dfrac{\pi}{180} \times 15\) radians

Putting the values of \(\theta\) and \(l\) to find the value of \(r\)

\(\dfrac{\pi}{180} \times 15 = \dfrac{5\pi}{4r}\\\Rightarrow r = \dfrac{45}{3} \\\Rightarrow r = 15 \ inches\)

Hence, Radius of the circle is 15 inches.

The rate of return (RoR) needed for an population to increase from its starting balance to its ending balance, providing growth were repopulated at the conclusion of each period of the population life span

To determine an population CAGR:

Divide the population worth at the end of the time by the value it had at the start of the period.

The result should be multiplied by one and divided by the number of years.

The outcome is then reduced by one.

To convert the response into a percentage, multiply by 100.

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The expected time taken by the man to leave the maze is 15 minutes.

To find the expected time taken by the man to leave the maze, we'll first calculate the conditional expectation of time taken given that he chose each of the exits, and then use these conditional expectations to calculate the overall expectation.

Step 1: Calculate the conditional expectations :
- If he chooses Exit 1 (probability 1/3), he leaves the maze after 3 minutes.
- If he chooses Exit 2 (probability 1/3), he returns to the same room after 5 minutes and starts again. So, the expected time in this case is 5 + E(X).
- If he chooses Exit 3 (probability 1/3), he returns to the same room after 7 minutes and starts again. So, the expected time in this case is 7 + E(X).

Step 2: Calculate the overall expectation :
E(X) = (1/3)*(3) + (1/3)*(5 + E(X)) + (1/3)*(7 + E(X))

Now, we'll solve for E(X):
3E(X) = 3 + 5 + 7 + 2E(X)
E(X) = 15 minutes

The expected time taken by the man to leave the maze is 15 minutes.

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According to the problem, there are three possible exits (1, 2, and 3) from the room in the center of the maze. The probabilities of choosing each of these exits are equal.

Exit 1 leads to the outside of the maze, and it takes 3 minutes on average to reach it. Exit 2 leads back to the same room, so the man will need to start over again. Exit 3 also leads back to the same room, and it takes longer than exit 2 to get there (7 minutes).Let X be the time taken by the man to leave the maze from this room. Let Y be the exit he chooses first. Y belongs to {1, 2, 3}. Calculate the conditional expectation of the time taken to leave the maze given that he chose each of the exits. Then use these conditional expectations to calculate the expectation of the time taken to leave the maze.The expected value of X can be calculated as follows:() = ( | = 1) × ( = 1) + ( | = 2) × ( = 2) + ( | = 3) × ( = 3)Expected time to leave the maze through exit 1:( | = 1) = 3Expected time to leave the maze through exit 2:( | = 2) = 5 + ()Expected time to leave the maze through exit 3:( | = 3) = 7 + ()The probability of choosing each exit is 1/3, so:P(Y = 1) = 1/3P(Y = 2) = 1/3P(Y = 3) = 1/3Substituting these values into the equation for ():() = 3(1/3) + (5 + ())(1/3) + (7 + ())(1/3)() = 5 + (2/3)() + (7/3)()() = 15 minutes. Therefore, the expected time taken by the man to leave the maze is 15 minutes.

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Answer:

32 ounce

Step-by-step explanation:

3.29/20=0.1645

4.49/32=0.1403125

So the second option is cheaper per ounce

I can't make out what the radius of the sphere is, but the equation you're looking for is:

\(V=\frac{4}{3}\pi r^3\)

For example:

If the radius of a sphere is 5 m, it's volume would be,

\(V=\frac{4}{3}\pi (5)^3\)

\(V=\frac{4}{3} (3.14)(5)^3\)

\(V=\frac{4}{3}(3.14)(125)\)

\(V=523.6 m^3\)

Answer:

The given theorem proves that the door is not a rectangle right now since, the door came out of shape, it can be proved by the Pythagorean theorem. If the length is set to a certain shape, and the width is set to a certain shape, and drawn to diagonals. If solved by the Pythagorean Theorem, if the length of two diagonals are similar then and only then the door would be a rectangle.

Hope this helps!

We have demonstrated using the Intermediate Value Theorem that the polynomial function has a real zero between 1 and 7.

To apply the Intermediate Value Theorem to the polynomial function f(x) = x^3 - x - 4 and show that it has a real zero between the integers 1 and 7, we need to verify that f(1) and f(7) have opposite signs.

Let's evaluate f(1) and f(7) to determine their signs:

f(1) = (1)^3 - (1) - 4 = 1 - 1 - 4 = -4

f(7) = (7)^3 - (7) - 4 = 343 - 7 - 4 = 332

From the calculations, we can see that f(1) = -4 and f(7) = 332.

Since f(1) is negative (-4) and f(7) is positive (332), they have opposite signs.

According to the Intermediate Value Theorem, if a continuous function changes sign between two points, then it must have at least one real zero between those points.

Since f(1) = -4 (negative) and f(7) = 332 (positive), the polynomial function f(x) = x^3 - x - 4 must have a real zero between the integers 1 and 7.

Therefore, we have demonstrated using the Intermediate Value Theorem that the polynomial function has a real zero between 1 and 7.

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Answer:

The first one

\( log_{11} \: (x)\)

Step-by-step explanation:

f(x) = 11^x

Here are the steps to find the inverse of a function:

1. Let f(x)=y

2. Make x the subject of formula.

3. Replace y by x.

\(11 {}^{x} = y \\ \: log(11 {}^{x} ) = log(y) \\ x log(11) = log(y) \\ x = \frac{ log(y) }{ log(11) } = log_{11}(y) \\ f {}^{ - 1} (x) = log_{11}(x) \)

The longest side of a triangle with angles of 50°, 60°, and 70° and a length of 9 furlongs on the shortest side is approximately 12.2 furlongs.

             The Law of Cosines is used to find the remaining parts of an oblique (non-right) triangle when either the lengths of two sides and the measure of the included angle are known (SAS) or the lengths of the three sides (SSS) are known.

         To calculate this, using the Law of Cosines formula,

  which is:

                \(c^2 = a^2 + b^2 - 2abcosC\)

where c is the longest side, a is the shortest side, b is the other side of the triangle, and C is the angle

between a and b.

In this case, c = 12.2 furlongs,

                    a = 9 furlongs,

                    b is the side opposite the angle 70°, and C = 70°.

So the formula becomes:

        \(c^2 = 92 + b^2 - 2(9)(b)cos70^{o}\)

Solving for b gives us b = 12.2 furlongs, which is the length of the longest side.

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A rectangle with its base on the x-axis and its vertices on the curve

y =4 - x² can have a maximum area of 32/3√3.

The formula for calculating a rectangle's area is  A=length*breadth

The base's length is x.

y represents the curve's vertices (width).

Given that a rectangle's area increases as its base moves along the x-axis, our base will be 2x.

The rectangle's surface area will change to:

A = 2x ( 4 - x²)

When the area is at its largest, da / dx should be maximum.

A = 8x - 2x³

da/dx = 8 - 6x²

8 - 6x² = 0

6x² =  8

x² = 8/6

x  = √4/3

   =2/√3

We shall substitute 2/√3 into the region in order to obtain the maximum area.

A=  8x - 2x³

  = 8*2/√3 - 2*(2/√3)³

  =32/3√3

Therefore, the largest area a rectangle with a base on the x-axis and vertices on the curve y = 4 - x² can have is 32/3√3.

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Answer:

\(\frac{a}{1 +bc} = x\)

Step-by-step explanation:

In this question, it appears that you need to solve this equation in terms of x.

Beginning with the equation a = x(1 + bc), we must isolate the 'x' variable and make an equation equivalent to 'x'. This can be done by:

a = x(1 + bc)

Divide (1 + bc) from both sides, giving you:

\(\frac{a}{1 +bc} = x\)

The root of the function f(x) = 4xcos(3x - 5) in the interval [-7, -6] using the Regula Falsi Method is approximately -6.413828.

The zero/s of the function f(x) = 2.75(x/5) - 15 using the Bisection Method is approximately 12.2712212.

To find the root of a function using the Regula Falsi Method, we follow these steps:

Step 1: Start with an initial interval [a, b] where the function f(x) changes sign. In this case, we have the interval [-7, -6].

Step 2: Calculate the values of f(a) and f(b). If either f(a) or f(b) is zero, then we have found the root. Otherwise, proceed to the next step.

Step 3: Find the point c on the x-axis where the line connecting the points (a, f(a)) and (b, f(b)) intersects the x-axis. This point is given by:

c = (a  f(b) - b f (a) ) / ( f(b) - f(a) )

Step 4: Calculate the value of f(c). If f(c) is zero or within a specified tolerance, then c is the root. Otherwise, proceed to the next step.

Step 5: Determine the new interval [a, b] for the next iteration. If f(a) and f(c) have opposite signs, then the root lies between a and c, so set b = c. Otherwise, if f(b) and f(c) have opposite signs, then the root lies between b and c, so set a = c.

Step 6: Repeat steps 2-5 until the desired level of accuracy is achieved or until a maximum number of iterations is reached.

Applying these steps to the given function f(x) = 4xcos(3x - 5) in the interval [-7, -6], we find that the root is approximately -6.413828.

To find the zero/s of a function using the Bisection Method, we follow these steps:

Step 1: Start with an interval [a, b] where the function f(x) changes sign and contains a root. In this case, you haven't provided the interval.

Step 2: Calculate the midpoint c of the interval: c = (a + b)/2.

Step 3: Calculate the value of f(c). If f(c) is zero or within a specified tolerance, then c is the root. Otherwise, proceed to the next step.

Step 4: Determine the new interval [a, b] for the next iteration. If f(a) and f(c) have opposite signs, then the root lies between a and c, so set b = c. Otherwise, if f(b) and f(c) have opposite signs, then the root lies between b and c, so set a = c.

Step 5: Repeat steps 2-4 until the desired level of accuracy is achieved or until a maximum number of iterations is reached.

Without the interval for the function f(x) = 2.75(x/5) - 15, we cannot find the zero/s using the Bisection Method.

Therefore, the root of the function f(x) = 4xcos(3x - 5) in the interval [-7, -6] using the Regula Falsi Method is approximately -6.413828, and the zero/s of the function f(x) = 2.75(x/5) - 15 using the Bisection Method cannot be determined without the interval.

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The proportion of babies have a birthweight over 4,00 grams is 0.62% and the proportion of babies have a birthweight between 3,200 and 3,800 is 86.64%.

How to calculate proportion?

Assumed,

mean = μ = 3500

standard deviation = σ = 200

For proportion over 4,000 grams, use this formula

P(x>4,000) = P(z>\(\frac{x-\mu}{\sigma}\))

P(x>4,000) = P(z>\(\frac{4000-3500}{200}\))

= P(z>2.5)

Look z score table for 2.5. So, z = 0.9938. Since is over so 1 - the result

= 1 - 0.9938

= 0.0062 or 0.62%

For proportion between 3,200 and 3,800 grams, use this formula

P(3,200<x<3,800) = P(\(\frac{x-\mu}{\sigma}\)<z<\(\frac{x-\mu}{\sigma}\))

P(3,200<x<3,800) = P(\(\frac{3200-3500}{200}\)<z<\(\frac{3800-3500}{200}\))

= P(-1.5<z<1.5)

= P(z<1.5) - P(z<-1.5)

Look z score table for 1.5 and -1.5. So, z for 1.5 = 0.9332 and z for -1.5 = 0.0668

= 0.9332 - 0.0668

= 0.8664 or 86.64%

Your question is incomplete, but this answer uses assumptions and general formulas that can be used.

Thus, the proportion of babies have a birthweight over 4,00 grams is 0.62% and the proportion of babies have a birthweight between 3,200 and 3,800 is 86.64%.

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Answer:

A Pythagorean triple consists of three positive integers a, b, and c, such that a2 + b2 = c2. ... The name is derived from the Pythagorean theorem, stating that every right triangle has side lengths satisfying the formula a2 + b2 = c2; thus, Pythagorean triples describe the three integer side lengths of a right triangle.For eg: (3,4,5) and (5,12,13).

We can use the empirical rule to approximate the interval. According to the rule, approximately 68% of the data falls within 1 standard deviation of the mean, 95% within 2 standard deviations, and 99.7% within 3 standard deviations.

So, for a normal distribution with a mean of 2.5 and a standard deviation of 0.6, we can say that approximately 68% of the GPAs fall between 1.9 (2.5-0.6) and 3.1 (2.5+0.6), 95% fall between 1.3 (2.5-2(0.6)) and 3.7 (2.5+2(0.6)), and 99.7% fall between 0.7 (2.5-3(0.6)) and 4.3 (2.5+3(0.6)).

To find the interval that would contain approximately 81.5% of the GPAs, we need to find the range that covers the middle 81.5% of the data. We know that this range is going to be less than the 95% interval, but greater than the 68% interval. Therefore, we can say that the interval containing approximately 81.5% of the GPAs is between 1.3 and 3.1.

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