Help me guys it's due this morning ​

Answer:

D. 3x²

General Formulas and Concepts:

Algebra II

Calculus

Basic Power Rule:

Step-by-step explanation:

Step 1: Define

\(f(x)=e^{3lnx}\)

Step 2: Rewrite

\(f(x) = x^3\)

Step 3: Take Derivative

Answer with step-by-step explanation:

Yes, it is possible to have more that one (x,y) pair because of the distributive property.

6x + 4y = 34. If this is the case, we have to find 2 numbers that sum up to 34.

5x - 27 = 15. If we are going to calculate this equation, you need to reverse the equation. 15 + 27 = 42 = 5x. If 42 = 5x, we have to divide 42 by 5, which is 8.4

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Answer:

x = 5

Step-by-step explanation:

Given

\(\frac{2}{6}\) = \(\frac{x}{15}\) ( cross- multiply )

6x = 30 ( divide both sides by 6 )

x = 5

Answer: 490.63

Step-by-step explanation:

if the family gives up two nights in the hotel, they could afford d) 5 meals

The family has a budget of $800 for meals and hotel accommodations. If they could afford eight nights in a hotel without buying any meals, we can determine the cost of one night at the hotel. To do this, we can divide the total budget by the number of nights:

$800 / 8 nights = $100 per night

Now, let's consider the scenario where the family gives up two nights in the hotel. This would free up $200 from their budget ($100 per night x 2 nights). We can then use this amount to determine how many meals the family can afford by dividing the available funds by the cost of one meal:

$200 / $40 per meal = 5 meals

Therefore, if the family gives up two nights in the hotel, they could afford 5 meals. The correct answer is d. 5.

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Answer:

The equation is 2x + 5.1 = 11.5

Step-by-step explanation:

Given that:

Fiona thinks of a number.

Let,

x be that number.

She doubles the number, therefore

2x

Then she adds 5.1 in the number, thus

2x + 5.1

She gets the answer 11.5, so the equation becomes

2x + 5.1 = 11.5

Hence,

The equation is 2x + 5.1 = 11.5

Answer:

Given that `x=10`, we can find the value of `a` and `b` by substituting the value of `x` into the given expressions for `a` and `b`.

For `a`, we have: `a = 5x^2/2`. Substituting `x=10`, we get: `a = 5(10)^2/2 = 250`.

For `b`, we have: `b = 2x^2(x-5)/10x`. Substituting `x=10`, we get: `b = 2(10)^2(10-5)/10(10) = 100`.

Therefore, when `x=10`, the value of `a` is 250 and the value of `b` is 100.

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The fraction which is equivalent to 6/12 is 1/2

What does a fraction mean?

In the first place, fraction is a numerical quantity or relationship where one number is expressed in terms of another.

In order to determine the equivalence of 6/12 in fraction , we need reduce 6/12 to the lowest term, since 6 is common to 6 and 12 and that 6 divided by gives 1 and 12/6 gives 2, which means that we are left 1/2

The correct fraction which is equivalent to 6/12 is 1/2

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Full question:

A group of 12 students goes on a school field trip, 6 are in third grade. which fraction is equivalent to 6/12?

(A) 1/3

(B)1/4

(C) 1/6

(D) 1/2

Answer:

(a) g(x) has a greater slope

(b) g(x) has a greater y intercept

Step-by-step explanation:

Given

\(x \to -1,0,1\)

\(f(x) \to -5,-1,3\)

\(g(x) = 4x + 3\)

Solving (a): Compare the slopes

Slope (m) is calculated as:

\(m =\frac{y_2 - y_1}{x_2 - x_1}\)

So, for f(x), we have:

\(m =\frac{-1- 0}{-5- -1}\)

\(m =\frac{-1}{-4}\)

\(m =\frac{1}{4}\)

For g(x), we have:

Assume \(g(x) = mx + c\) then the slope is m

Compare the above to \(g(x) = 4x + 3\)

Then the slope of g(x) is 4

g(x) has a greater slope

Solving (b): Function with greater y intercept

Here we set \(x= 0\)

From the table of f(x)

\(f(x) = -1\) when \(x = 0\)

From \(g(x) = 4x + 3\)

\(g(0) = 4 * 0 + 3\)

\(g(0) = 3\)

Hence:

g(x) has a greater y intercept

Yes, there are two possible shapes that fit this description.

Lilly is describing a parallelogram, which is a quadrilateral with two pairs of parallel opposite sides.

A parallelogram has opposite sides that are congruent and parallel, and opposite angles that are congruent. Therefore, it has two pairs of equal opposite sides.

There are two types of parallelograms: a rectangle and a rhombus. A rectangle is a parallelogram with four right angles, while a rhombus is a parallelogram with four congruent sides.

Both shapes have two pairs of equal opposite sides and opposite sides that are parallel.

Therefore, Robin is correct that there are two possible shapes. Depending on whether all four angles are right angles or all four sides are congruent, the shape could be a rectangle or a rhombus. It is also possible for a shape to be both a rectangle and a rhombus, in which case it would be called a square.

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the approximate area of the base of the paint can is 53.5 square centimeters.by using Volume formula is Base Area × Height

To find the approximate area of the base of the paint can, we can use the formula for the volume of a cylinder:

Volume = Base Area × Height

We are given the volume (535 cubic centimeters) and the height (10 cm). We need to solve for the Base Area. Rearranging the formula to solve for Base Area, we get:

Base Area = Volume ÷ Height

Now, substitute the given values:

Base Area = 535 cubic centimeters ÷ 10 cm

Base Area ≈ 53.5 square centimeters

So, the approximate area of the base of the paint can is 53.5 square centimeters.

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The approximate area of the base of the can is 53.5 square centimeters

From the question, we have the following parameters that can be used in our computation:

Volume = 535 cubic centimeters of paint

Height of container = 10 cm

The area of the base of the can is calculated as

Base area = Volume/Height

Substitute the known values in the above equation, so, we have the following representation

Base area = 535/10

Evaluate

Base area = 53.5

Hence, the base area is 53.5 square centimeters

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The equivalent expression of the expression \(\sqrt[3]{\frac{12x^2}{16y}}\) is \((\frac{3x^2}{4y})^\frac 13\)

The expression is given as:

\(\sqrt[3]{\frac{12x^2}{16y}}\)

Divide 12 in the expression by 4

\(\sqrt[3]{\frac{3x^2}{16y}}\)

Divide 16 in the expression by 4

\(\sqrt[3]{\frac{3x^2}{4y}}\)

Apply the power rule of indices

\((\frac{3x^2}{4y})^\frac 13\)

Hence, the equivalent expression of \(\sqrt[3]{\frac{12x^2}{16y}}\) is \((\frac{3x^2}{4y})^\frac 13\)

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The given vector-valued function is\(r(t) = f(t) × g(t)\), where \(f(t) = t^3i − tj − tk\) and\(g(t) = 3ti + t^2j − (t + 8)k.\)

To find the domain of the vector-valued function, we need to determine the values of t for which both f(t) and g(t) are defined.

For f(t), there are no restrictions on the domain since it is defined for all real values of t.

For g(t), we need to consider the denominator (t + 8) in the k-component. To avoid division by zero, we set t + 8 ≠ 0 and solve for t: t ≠ -8.

Therefore, the domain of the vector-valued function r(t) is all real numbers except t = -8.

Main answer: The domain of the vector-valued function

\(r(t) = f(t) × g(t) is (-∞, -8) U (-8, ∞).\)

The domain of the vector-valued function \(r(t) = f(t) × g(t)\)can be found by determining the values of t for which both f(t) and g(t) are defined. The function\(f(t) = t^3i − tj − tk\)is defined for all real values of t since there are no restrictions on its domain.

However, for the function \(g(t) = 3ti + t^2j − (t + 8)k\),

we need to consider the denominator (t + 8) in the k-component. To avoid division by zero, we set t + 8 ≠ 0 and solve for t: t ≠ -8. Therefore, the domain of g(t) is all real numbers except t = -8. Finally, to find the domain of r(t), we need to consider the intersection of the domains of f(t) and g(t), which is (-∞, -8) U (-8, ∞).

The domain of the vector-valued function \(r(t) = f(t) × g(t) is (-∞, -8) U (-8, ∞).\)

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Answer:

24

Step-by-step explanation:

If two angles are supplementary, they add up to 180.

Let's say m∠A = a and m∠B = b.

\(a=5(b+7.2)\)

\(a= 5b + 36\)

\(a-5b = 36\)

We also still have \(a+b=180\)

\(a-5b=36\\a+b=180\)

Subtract,

\(-6b=-144\)

\(b=24\)

Answer:

The numbers are 50, 51, and 52.

Step-by-step explanation:

The consecutive integers are (x-1), x, and (x+1).

6*(x-1+x)-(x+1)=452+2x

6x-6+6x-x-1=452+2x

9x = 459

x=51

The numbers are 50, 51, and 52.

The correct answer is ; D ( for me ) 30

Answer:

30

Step-by-step explanation:

i took the test on edgenuty and got it correct

The mean of a binomial probability distribution with p = 0.32 and n = 150 is 48

The binomial distribution is a probability distribution that describes the number of successes in a fixed number of independent trials, where each trial has the same probability of success, denoted by p. In the case of a binomial distribution with n trials and probability of success p, the mean, or expected value, is equal to the product of the number of trials and the probability of success, which is np.

In this case, the problem provides the values of p and n, which are p = 0.32 and n = 150, respectively. Therefore, the mean can be calculated by multiplying these two values

μ = np = 150 x 0.32 = 48

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Answer:

40 is 4,4,8,8,24

Step-by-step explanation:

40 in the ratio 1:1:2:2:4

X+X+2X+2X+4X=40

10X=40

X=40/10

X=4

So 40 is 4,4,8,8,24

Answer:

1/2

Step-by-step explanation:

let the number be A

A x 4 + 5 = 7

A x 4 = 7 - 5 = 2

A = 2/4

A = 1/2

The equation to represent the scenario is 4x+5=7 and the unknown number is 1/2.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, a number that when you multiply it by 4 and add 5 to the product, you get 7.

Let the unknown number be x.

Now, the product of a number and 4 =4x

Add 5 to the product, that is

4x+5

Result is equal to 7

4x+5=7

So, 4x=2

x=1/2

Therefore, the unknown number is 1/2.

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The total number of red marbles in the vase are 10.

A ratio is described as a comparison between two amounts with the same unit to determine the amount of 1 quantity is contained in the other. Ratios are divided into two sorts.

The first is a part-to-part ratio, and the second is a part-to-whole ratio. The part-to-part ratio expresses the relationship between 2 separate entities or groupings.

Now, according to the question;

Let 'x' be the red marbles in the vase.

Let 'y' be the orange marbles in the vase.

The total number of marbles in the vase are 60

x  + y = 60 (equation 1)

The ratio of red marbles to orange ones is 1:5.

Thus, x/y = 1/5

cross multiplying;

5x = y

or y = 5x

substitute the value of y in equation 1;

x  + y = 60 (equation 1)

x  + 5x = 60

6x = 60

x = 10  (red marbles)

Thus, the number of red marbles in the vase are 10.

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Answer:

8:10 is LESS than 13:15

Step-by-step explanation:

8:10 = 80%

13:15 = 86.7%

$6.60 because 6.00 + 0.60 = 6.60

The probability that the player has all 8 of the number selected by the lottery commission is approximately 1.3 × 10^-9.

There are a total of 40 numbers that can be chosen for the lottery. Out of those 40 numbers, a player must select 8 numbers. The lottery commission will also randomly select 8 numbers from those 40. If a player has all 8 of the numbers selected by the lottery commission, then they will win. The number of ways to choose 8 correct numbers is simply 1, since there is only one set of 8 numbers that the player can choose that matches the 8 numbers selected by the lottery commission.

The number of ways to choose any 8 numbers from 40 is given by the combination formula:

P = (40! / (8! (40 - 8)!) = 769,046,685

Therefore, the probability that the player has all 8 numbers selected by the lottery commission is:

P(all 8 numbers are correct) = 1 / 769,046,685 = 1.3 × 10^-9 (approximately).

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Answer:

{a,c,d,b} = {49/16,29/16,2,-31/48}

Step-by-step explanation:

  [1]    3a + c - 4d = 3

  [2]    -4a + 4c + d = -3

  [3]    -a - 2d + 3b = -9

  [4]     - d = -2

// Solve equation [4] for the variable  d

  [4]    d = 2

// Plug this in for variable  d  in equation [1]

  [1]    3a + c - 4•(2) = 3

  [1]    3a + c = 11

// Plug this in for variable  d  in equation [2]

  [2]    -4a + 4c + (2) = -3

  [2]    -4a + 4c = -5

// Plug this in for variable  d  in equation [3]

  [3]    -a - 2•(2) + 3b = -9

  [3]    -a + 3b = -5

// Solve equation [1] for the variable  c

 [1]    c = -3a + 11

// Plug this in for variable  c  in equation [2]

  [2]    -4a + 4•(-3a+11) = -5

  [2]    -16a = -49

// Solve equation [2] for the variable  a

  [2]    16a = 49

  [2]    a = 49/16

// Plug this in for variable  a  in equation [3]

  [3]    -(49/16) + 3b = -5

  [3]    3b = -31/16

  [3]    48b = -31

// Solve equation [3] for the variable  b

  [3]    48b = - 31

  [3]    b = - 31/48

// By now we know this much :

   a = 49/16

   c = -3a+11

   d = 2

   b = -31/48

// Use the  a  value to solve for  c

   c = -3(49/16)+11 = 29/16

Step-by-step explanation:

so bd/a+c= 3×(-4)/-2 +(-12)= -12/-2+(-12)=6+(-12)=6-12=-6

so the answer is -6

Convertible anti-monotone: Adjusting values allowed, but decreasing violates the constraint. Convertible monotone: Adjusting values allowed, increasing satisfies the constraint. Strongly convertible: Adjusting values allowed, increasing and decreasing satisfy the constraint.

Convertible anti-monotone:

In the case of a convertible anti-monotone constraint, the sum of the values (s) must not exceed a given limit (v). "Convertible" means that it is possible to modify the values of s within certain bounds to satisfy the constraint.

"Anti-monotone" refers to a property where increasing the value of one element decreases the overall sum.

In this scenario, the constraint allows for flexibility in adjusting the individual values of s to stay within the given limit. However, as the values increase, the sum decreases.

Therefore, decreasing the value of any element would result in a larger sum, which violates the constraint.

Convertible monotone:

A convertible monotone constraint is similar to the convertible anti-monotone case, with the primary difference being the monotonicity property. In this case, increasing the value of an element also increases the overall sum.

The constraint still requires the sum of the values (s) to be less than or equal to a given limit (v).

The convertible property allows for adjustments to the values of s to satisfy the constraint, while the monotonicity property ensures that increasing the values of the elements increases the sum.

Decreasing the value of any element would result in a smaller sum, which would comply with the constraint.

Strongly convertible:

A strongly convertible constraint combines the properties of both convertibility and monotonicity.

It allows for adjustments to the values of s to satisfy the constraint, and increasing the value of an element increases the overall sum. The sum of the values (s) must still be less than or equal to a given limit (v).

With the strongly convertible constraint, there is flexibility to modify the values of s while ensuring that increasing the values of the elements increases the sum.

Decreasing the value of any element would lead to a smaller sum, which adheres to the constraint. This provides more options for satisfying the constraint compared to the previous two cases.

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Answer:

The slope would -1

Step-by-step explanation:

When solving these problems we need to know the formula for finding slope between two points which is considered  \(\frac{y2-y1}{x2-x1}\) in which the y-value on the second coordinate (-1) minus the y-value of the first coordinate (4), these would be put on top of the fraction bar while we do the same for the x-value in which we get the x-value from the second coordinate (2) and do minus the x-value of the first coordinate (-3).

Next let's plug-in our values into the equation \(\frac{(-1)-(4)}{(2)-(-3)}\) . With the top part being easy to subtract it would simply be -5 on top. The bottom, however, has a minus on the bottoms with -3 in parentheses, in which case this would then turn into a +3 because distributing the negative to -3 to make it a positive. The bottom of the fraction would then become 2+3 which is 5.

Our final equation would look like \(\frac{-5}{5}\) in which case can be simplified to -1.

Answer:

heres for extra room

Step-by-step explanation:

Data collected over several time periods are called time series data.

Time series data refers to data that is collected over several time periods. It captures a sequence of observations of a variable of interest over time, such as sales figures, stock prices, temperature, and so on. The observations are usually taken at regular intervals, such as daily, weekly, monthly or yearly, and the data reflects the changes in the variable over time.

Time series data is useful for identifying trends, patterns, and seasonality in the data, and for making predictions about future values. It's often used in economic forecasting, weather forecasting, and other fields where understanding how a variable changes over time is important.

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Answer: 160

Step-by-step explanation:

12+37+78

Using percentages, we know that Joey has 37.5% of colored pairs of socks.

%, which is a relative figure used to denote hundredths of any quantity.

Since one percent (symbolized as 1%) is equal to one-hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance.

Finding the percentage of a whole in terms of 100 is what percentage calculation is.

Both manual calculation and the use of internet calculators are options.

So, the percentage of colored pair of socks are:

We know that Joey has a total of 8 pairs of socks.

We also know that 5 pairs of socks are white.

Hence, the colored pair of socks will be:

8 - 5 = 3

Calculate its percentage as follows:

3/8 * 100

0.375 * 100

37.5%

Therefore, using percentages, we know that Joey has 37.5% of colored pairs of socks.

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the volume of the sphere is approximately 85.37π cm³. Rounded to the nearest hundredth, this is approximately 85.36 cm³.

We can start by using the formula for the surface area of a sphere in terms of its radius:

Surface Area = 4π\(r^2\)

where r is the radius of the sphere.

We are given that the surface area is 64π cm², so we can set up the equation:

64π = 4π\(r^2\)

Dividing both sides by 4π, we get:

16 = \(r^2\)

Taking the square root of both sides, we get:

r = 4

Now that we know the radius of the sphere is 4 cm, we can use the formula for the volume of a sphere:

Volume = (4/3)π\(r^3\)

Substituting in the value for r, we get:

Volume = (4/3)π(\(4^3\))

Simplifying, we get:

Volume = (4/3)π(64)

Volume = 256/3 π

So the volume of the sphere is approximately 85.37π cm³. Rounded to the nearest hundredth, this is approximately 85.36 cm³.

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