whats 4 2/5 x 1 1/2 pls help​

Answer:

  ? = 6b

Step-by-step explanation:

You want to find the length of CB from points B(3a, b) and C(-a, -5b).

The distance formula is given.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((-a-3a)² +(-5b -b)²)

  d = √(-4a)² +(-6b)²)

  \(d=\sqrt{(4a)^2+(\boxed{6b})^2}\)

__

Additional comment

The distance expression can be simplified to ...

  d = 2√(4a² +9b²)

However, this is not the form your answer is supposed to take. The value that goes in the green box is 6b.

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When dealing with the simultaneous occurrence of two events A and B, the probability can be determined by using the probability of one event and the conditional probability of the other event given that the first event has occurred. Both P(A) * P(B|A) and P(B) * P(A|B) are valid ways to calculate this probability.

The concept of probability is fundamental in various fields such as mathematics, statistics, and even in everyday life. The probability of the simultaneous occurrence of two events A and B is a critical concept in probability theory. According to the definition, the probability of A and B occurring at the same time is equal to the probability of A multiplied by the conditional probability of B given that A has occurred. This equation is also valid in the reverse case, where the probability of B and A occurring simultaneously is equal to the probability of B multiplied by the conditional probability of A given that B has occurred.

Understanding the relationship between the probability of two events and their conditional probabilities is essential in predicting the likelihood of these events happening together. In real-life situations, this concept can be used to determine the probability of two events such as the success of a product launch and the corresponding increase in sales. The probability of these two events occurring simultaneously can be predicted by analyzing the probability of the product launch's success and the conditional probability of sales increasing given that the product launch is successful.

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The width of the rectangle become 20 cm.

According to the statement

we have to find the width of the rectangle.

So, For this purpose, we know that the

Rectangle is a parallelogram all of whose angles are right angles.

According to the information:

A rectangle has a length of 21 cm and a diagonal of 29 cm.

Here we use the this formula

d² = l² + w²

So, Substitute the values

29² = 21² + w²

841 = 441 + w²

Now, solve it then

w² = 400

Solve the square root then value becomes

w = 20 cm.

The width of the rectangle become 20 cm.

So, The width of the rectangle become 20 cm.

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(a) The slope of an indifference curve at an arbitrary consumption bundle (x0, y0) is given by the negative ratio of the marginal utilities of x and y, i.e., -MUx/MUy.

(b) Taking the derivative of the expression in part (a) gives the second-order derivative of the indifference curve. If the utility function u is quasiconcave on R+2, this second-order derivative will be positive, demonstrating the law of diminishing marginal rate of substitution.

In economics, an indifference curve represents the combinations of two goods (x and y) that provide the same level of utility or satisfaction to an individual.

The slope of an indifference curve measures the rate at which the individual is willing to substitute one good for another while remaining indifferent.

To derive an expression for the slope of an indifference curve at a given consumption bundle (x0, y0), we consider the marginal utilities of x (MUx) and y (MUy).

The slope is determined by the negative ratio of MUx to MUy, which indicates the relative change in x compared to y that maintains the same level of utility.

Taking the derivative of this expression provides the second-order derivative of the indifference curve. If the utility function u is quasiconcave on R+2, which means that indifference curves are convex, the second-order derivative will be positive.

This confirms the law of diminishing marginal rate of substitution, stating that as an individual consumes more of one good, they are willing to give up less of the other good to maintain the same level of satisfaction.

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If the population standard deviation of a sample increases without other changes, the confidence interval is most likely to widen.

This is because the standard deviation is a measure of the spread of the data, so if it increases, the data points are more spread out from the mean. As a result, the range of values that could reasonably contain the true population parameter (i.e., the confidence interval) needs to be wider to account for the increased variability in the sample.
If the population standard deviation of a sample increases without other changes, the confidence interval is most likely to become wider.
When standard deviation increases, it indicates more variability in the data. As a result, the confidence interval, which is a range of values that estimates the true population parameter with a certain level of confidence, needs to be wider to account for the increased variability. This ensures that the true population parameter is still captured within the interval with the same level of confidence.

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The Swiss mathematician who is credited with being the first to use the pi symbol was Johann Lambert

The Swiss mathematician who is credited with being the first to use the pi symbol (π) to represent the mathematical constant that relates the circumference of a circle to its diameter was Johann Lambert (1728-1777).

The symbol caught on among mathematicians and soon became the standard notation for pi. Today, it is widely used in mathematical formulas and equations, and is recognized by people around the world as the symbol for pi.

It's worth noting, however, that the concept of pi has been known and used by mathematicians for thousands of years before Lambert's time, and the value of pi has been calculated to increasingly greater precision over the centuries. The symbol π simply provided a convenient shorthand for representing this important mathematical constant.

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Answer: Subtract 3 from each side of the equation(A)

Step-by-step explanation:

3n2−15n=3

1:Subtract 3n2 from both sides.

-15n=3-3n2

2:Divide both sides by -15.

-15n/-15=3-3n2/-15

3:Dividing by −15 undoes the multiplication by −15.

n=3-3n2/-15

4:Divide 3−3n 2 ​ by −15

n=n2-1/5

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An equation is formed of two equal expressions. The first step in solving the given equation is to Subtract 3 from each side of the equation.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The solution of the equation 3n²-15n=3 can be done as,

3n²-15n=3

3n²-15n-3=3-3

3n²-15n-3=0

(3n²-15n-3)/3=0/3

n²-5n-1=0

Therefore, the first step in solving the given equation is to Subtract 3 from each side of the equation.

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5+(-7)=-2

i hope this helps :)

Answer:

That doesn't make sense! Do you have a picture of the problem?

Step-by-step explanation:

I need more info in order to give a better, more acurate answer!

Answer:

There are 68,640 different ways the runners can finish first, second, and third in the race.

Concept of Permutations

The number of different ways the runners can finish first, second, and third in a race can be calculated using the concept of permutations.

Brief Overview

Since there are 42 runners competing for the top three positions, we have 42 choices for the first-place finisher. Once the first-place finisher is determined, there are 41 remaining runners to choose from for the second-place finisher. Similarly, once the first two positions are determined, there are 40 runners left to choose from for the third-place finisher.

Calculations

To calculate the total number of different ways, we multiply the number of choices for each position:

42 choices for the first-place finisher × 41 choices for the second-place finisher × 40 choices for the third-place finisher = 68,640 different ways.

Concluding Sentence

Therefore, there are 68,640 different ways the runners can finish first, second, and third in the race.

Answer:

the answer is 14

Step-by-step explanation:

10 pluss the 4 makes 14

Answer:

The distance between 10 and -4 is 14

Step-by-step explanation:

Because 10 plus 4 is 14 so the answer is 14,Hope it help you.

The volume of the cone is approximately 37.7 cubic units

What is volume?

A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes.

To find the volume of a cone, we use the formula:

V = (1/3) * π * r² * h

where π is the constant pi, r is the radius of the base of the cone, and h is the height of the cone.

Plugging in the given values, we get:

V = (1/3) * 3.14 * 3² * 4 ≈ 37.7

Therefore, the volume of the cone is approximately 37.7 cubic units (rounded to the nearest tenth).

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Assuming 100% efficiency, the current in the secondary coil will be the same as the current in the primary coil.

The current in the secondary coil is dependent on the voltage ratio of the primary and secondary coils. If the voltage ratio of the coils is the same as the turns ratio, then the current in the secondary coil will be identical to that in the primary coil. Therefore, assuming 100% efficiency, the current in the secondary coil will be the same as the current in the primary coil.

The current in the secondary coil is determined by the voltage ratio of the primary and secondary coils. The voltage ratio is equal to the turns ratio, which is the ratio of the number of turns in the secondary coil to the number of turns in the primary coil. In an ideal transformer with 100% efficiency, the power output in the secondary coil will be equal to the power input in the primary coil. Since power is equal to voltage multiplied by current, and the voltage ratio is equal to the turns ratio, the current in the secondary coil will be the same as the current in the primary coil.

Therefore, assuming 100% efficiency, the current in the secondary coil will be the same as the current in the primary coil.

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Answer:

D.

(DNE)

Step-by-step explanation:

when you plug in 1 to the denominator, 1 minus 1 becomes 0. a fraction with 0 as the denominator does not exist.

The limit of the function f(x)=\(x^{3}-1\)/x-1 as x approaches 1 is 3.

Limit is the value that a function approaches as the value of variable approaches some value. They are essential to calculas and mathematical analysis and are use to define continuity , derivatives and integrals. It can change value of function at different values of x.

We have been given a function f(x)=\(x^{3}-1\)/x-1 and we have to find the limit of function.

F(x)=\(x^{3} -1\) /(x-1) [\(x^{3} -y^{3} =x^{2} +y^{2} +xy\)]

\(\lim_{x \to \0}x^{3}-1/x-1\)

\(\lim_{x \to \0} (x-1)(x^{2} +1+x)\)/x-1

\(\lim_{x \to \0} x^{2} +x+1\)

change limit by putting x=1-h

\(\lim_{h \to \0} (1-h)^{2} +1+1-h\)

Put the value of h=0.

=1+1+1

=3

Hence the limit of the function \(x^{3}-1/x-1\) is 3.

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Answer:

\(5\sqrt{3}\)

Step-by-step explanation:

simplify sqrt(12): \(\sqrt{12} = \sqrt{4 * 3} = \sqrt{4} * \sqrt{3} = 2 * \sqrt{3} = 2\sqrt{3}\)

simplify sqrt(27): \(\sqrt{27} = \sqrt{9 * 3} = \sqrt{9} * \sqrt{3} = 3 * \sqrt{3} = 3\sqrt{3}\)

substitute into original equation: \(\sqrt{12} + \sqrt{27} = 2\sqrt{3} + 3\sqrt{3}\)

factor out sqrt(3): \(\sqrt{3} * (2 + 3)\)

simplify: \(\sqrt{3} * 5 = 5\sqrt{3}\)

Based on the information provided, the archaeological sample's estimated age is = 0.214136  years

Half life given is 5730

t₆.₅ = Ln2/k

k= ln 2/ 5730

The rate constant ,

k = 0.00012 year⁻¹

Given that 23 % of the 14C remains

then |A1|/|A2|  = 0.23

As we know ,

|A1|/|A2| = e ⁻₍kt₎

Hence, on solving the equation we get ,

ln(0.23)= -1.46967

t = -0.31471/ --1.46967

= 0.214136 years

The amount of time needed for a quantity (of substance) to decrease to half of its initial value is known as the half-life (symbol t12). In nuclear physics, the phrase is frequently used to indicate how rapidly unstable atoms decay radioactively or how long stable atoms last. The phrase is also used more broadly to describe any kind of exponential decay (or, very infrequently, nonexponential decay).

The biological half-life of medications and other compounds in the human body, for instance, is a term used in the medical sciences. Half-opposite life's in exponential growth is time's doubling.

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The reason for why the confidence intervals help researchers attain their purpose of using a sample to understand a population is given below .

In the question ,

we have been asked how does the confidence interval help researchers to attain the purpose of using a sample to understand a population ,

we know that , the confidence interval is calculated from an estimate of how far away our sample mean is from actual population mean .

the confidence interval are useful because ,

(i) by calculating the confidence intervals around any data we collect, we have additional information about the likely values we are trying to estimate .

(ii) they make data analyses richer and help us to make more informed decisions about the research questions .

Therefore , the reason how confidence interval helps is mentioned above.

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Answer:

13.5

Step-by-step explanation:

The tenth place is the first number after the decimal. Since the nine is bigger than the 4 it makes the four become a 5.

Step-by-step explanation:

Las ecuaciones dadas son ,

=> x² + 2x -15 = 0

Y necesitamos encontrar la solución de la Ecuación dada.

=> x² + 5x -3x -15 = 0

=> x(x+5) -3(x+15) = 0

=> (x+5)(x-3) = 0

=> x = 3,-5

La segunda ecuación es,

=> x² -4x -12 = 0

=> x² -6x+2x-12=0

=> x(x-6)+2(x-6) = 0

=> (x+2)(x-6) = 0

=> x = 6,-2

Espero eso ayude :)

The partial derivative of 6x^7y^2 = 0 with respect to x is ∂y/∂x = -7/2x.

Assuming you meant to write 6x^7y^2 = 0, we can use implicit differentiation to find ∂y/∂x:

Taking the partial derivative of both sides with respect to x, we get:

(42x^6y^2)dx + (12x^7y)dy = 0

Now we can solve for ∂y/∂x:

(12x^7y)dy = -(42x^6y^2)dx

dy/dx = -(42x^6y^2) / (12x^7y)

dy/dx = -7/2x

So the partial derivative of 6x^7y^2 = 0 with respect to x is ∂y/∂x = -7/2x.

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Answer:

1. -9

2. -2

3. -3

4. 2 (positive)

Step-by-step explanation:

positive + negative= positive

negative + positive =negative

positive +positive =positive

negative +negative =negative

hope you like it ( ' - ' )

The curve y = 8e^x has maximum curvature at the point (0, 8).there is no point where the second derivative equals zero,

To determine the point of maximum curvature on the curve y = 8e^x, we need to find the second derivative of the function and identify the point where it equals zero. The second derivative represents the rate of change of the slope, or the curvature, of the curve.

First, we find the first derivative of y = 8e^x with respect to x:

dy/dx = 8e^x

Then, we differentiate again to find the second derivative:

d²y/dx² = d(8e^x)/dx = 8e^x

Setting the second derivative equal to zero:

8e^x = 0

Exponential functions, such as e^x, are never equal to zero for any value of x. Therefore, there is no point where the second derivative equals zero, indicating that the curve y = 8e^x does not have any inflection points or points of maximum curvature.

However, we can determine the point where the curvature is the greatest by considering the graph of y = 8e^x. Since the exponential function e^x is always positive, the curve y = 8e^x is always concave up. This means that the curvature is positive throughout the curve, but there is no specific point of maximum curvature.    

In conclusion, the curve y = 8e^x does not have a point of maximum curvature but is always positively curved.  

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Answer:

42 acres to 72 acres, there is an increase of 30 acres

percentage wise

72-42=30

30/72=.4166...

therefore there is also a 41.6% increase

Step-by-step explanation:

71.42 Percentage change:×100%

Now, the change is given from 42 acres to 72 acres, therefore

Change= 72-42=30

⇒Percentage change= ×100%

                                   = 71.42

Answer:

number 1: i wont guve you the answee but its either A or C thats the hint because your subtracting becasue it says your losing 950 a year so the adding is not it so its not B neither D it has to be either A or C.

number 2: its A

number 3: u think its D im not sure because its either B or D but im pretty sire its D.

number 4: its D there yiu have it hope it helped.

Answer:

C

Step-by-step explanation:

3x - 9y = 9 → (1)

- 2x +2y = 8 ( subtract 2y from both sides )

- 2x = - 2y + 8 ( divide through by - 2 )

x = y - 4

substitute x = y - 4 into (1)

3(y - 4) - 9y = 9

3y - 12 - 9y = 9

- 6y - 12 = 9 ( add 12 to both sides )

- 6y = 21 ( divide both sides by - 6 )

y = \(\frac{21}{-6}\) = - \(\frac{7}{2}\)

The largest possible side length of the tiles that can be used is `12` inches as it can cover the entire bathroom without any gaps or cutting of tiles.

The largest tile that can be used is a square tile. To calculate the side length of the largest possible tile, divide the length and width of the bathroom by 4.

`48/4 = 12`

`60/4 = 15`

The largest possible side length of the tiles that can be used is `12` inches. Jayla's parents are replacing their bathroom floor with square tiles. The floor is a rectangle that is `48` inches by `60` inches. To cover the entire bathroom with no gaps, and without having to cut any of the tiles, they need to use a tile that is the same size as the largest possible tile that can cover the entire floor without any gaps.

To calculate the side length of the largest possible tile, divide the length and width of the bathroom by 4. This is because a tile needs to cover 4 sides of the floor without any gaps, so the side length of the tile needs to be equal to the length divided by 4, or the width divided by 4.

In this case, the side length of the largest possible tile is `12` inches. This is because `48/4 = 12`, and `60/4 = 15`. As `15` is larger than `12`, the side length of the largest possible tile is `12` inches. This means that the tiles need to be `12` inches by `12` inches in size to cover the entire bathroom without any gaps.

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Answer:

C is actually the correct answer. Cos formula is adjacent/hypotenuse!

Step-by-step explanation:

The cosine ratio for the given figure is cos θ = 12/13. Therefore, option C is the correct answer.

We need to find which is the correct cosine ratio for the given figure.

The cosine of an angle is the ratio of the length of the side adjacent to the angle divided by the length of the hypotenuse of the triangle.
That is cos θ=Adjacent/Hypotenuse.

From the given figure, cos θ = 12/13

The cosine ratio for the given figure is cos θ = 12/13. Therefore, option C is the correct answer.

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Answer:

y = 4*9^x

Step-by-step explanation:

y=ab^x

4 = a*b^0

a = 4

324 = 4*b^2

81 = b^2

b = 9

y = 4*9^x