i need help with this uwu​

Using differentiation on  y = √(2x + 1), dy/dt = -8

Differentiation is the process of finding the derivative of a function.

Since  y = √(2x + 1)  where x and y are functions of t. (a) if dx/dt = 12, we need to find dy/dt when x = 4.

So, we differentiate y with respect to t

So,  y = √(2x + 1)

Let u = 2x + 1

So, y = √u

dy/dt = d√u/dt

= d√u/du × du/dx × dx/dt

= -1/√u × 2 × dx/dt (since du/dx = d(2x + 1)/dx = 2)

= -2/√u × dx/dt

= -2/√(2x + 1) × dx/dt

Given that

Substituting the values of the variables into the equation, we have that

dy/dt = -2/√(2x + 1) × dx/dt

= -2/√(2(4) + 1) × 12

=  -24/√(8 + 1)

= -24/√9

= -24/3

= -8

So, dy/dt = -8

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The question is incomplete. Here is the complete question

Suppose y = √(2x + 1) , where x and y are functions of t. (a) if dx/dt = 12, find dy/dt when x = 4.

The point elasticity of demand (ϵ) can be calculated using the formula :

ϵ = (dq/dp) * (p/q)Given the demand function q = 5300 - 3p,

we can differentiate it with respect to p to find dq/dp :  dq/dp = -3

Substituting the given values p = 1600 and dq/dp = -3 into the formula, we get:

ϵ = (-3) * (1600 / (5300 - 3 * 1600))

ϵ = (-3) * (1600 / (5300 - 4800))

ϵ = (-3) * (1600 / 500)

ϵ = -9.6

The absolute value of ϵ is |ϵ| = 9.6. Since |ϵ| > 1, the demand is elastic. A demand is considered elastic when the absolute value of the elasticity is greater than 1.

Therefore, the point elasticity of demand is |ϵ| = 9.6 > 1, indicating that the demand is elastic. Hence, the correct answer is a. |ϵ| = 9.6 > 1 and demand is elastic.

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Answer:

18

Step-by-step explanation:

7, 17, 27, 37, 47, 57, 67

70, 71, 72, 73, 74, 75, 76, 77, 78, 79

Answer:

\(3x + 2 < - 4 \\ 3x < - 4 - 2 \\ 3x < - 6 \\ x < \frac{( -6)}{3} \\ \boxed{x < - 2}\)

Answer:

x < −2

Step-by-step explanation:

Let's solve your inequality step-by-step.

3x + 2 < −4

Step 1: Subtract 2 from both sides.

3x + 2 − 2 < − 4 − 2

3x<−6

Step 2: Divide both sides by 3.

3x / 3 < −6 / 3

x < −2

Answer:

x < −2

Hope this helps :)

When a thesis test is being performed for a population mean, the probability of a type II error isn't dependent on the sample mean. Option B is the right answer.

A type II error occurs when a null thesis isn't rejected despite it being incorrect. It's worth noting that the threat of making a type II error is affected by several factors, including the sample size, the true population mean, the position of significance, and the variability of the data.

As a result, the larger the sample size, the lower the threat of making a type IIerror.The true population mean also has an impact on the liability of a type II error. As the difference between the true mean and the hypothecated mean grows, the threat of a type II error decreases.

The position of significance is also pivotal in determining the threat of a type II error. As the significance position increases, the threat of a type II error decreases.

So, the correct answer is B

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The number of gallons of water that the pool will be able to hold would be = 24,600 gallons.

To calculate the number of gallons of water, the volume of the pool should first be calculated as follows:

The pool is divided into two shapes to obtain a trapezium and a rectangular prism.

Volume of rectangular prism= lwh

length= 30ft

width= 4ft

height= 20ft

Volume= 30×4×20= 2,400ft³

Volume of trapezoid prism;

= 1/2(a+b)hl

where;

a= 8ft

b= 30-16= 14ft

h= 8-4= 4ft

l= 20ft

Volume= 1/2(8+14)4×20

= 1/2(22)80

= 880ft³

The volume of structure;

= 2,400ft³+880ft³

= 3,280ft³

But 1ft³ = 7.5 gallons

3,280ft³ = X gallon

make X gallons the subject of formula;

X gallons= 7.5×3280= 24,600 gallons

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Answer:

If real GDP in a particular year is $80 billion and nominal GDP is $240 billion, the GDP price index for that year is: 300.

Step-by-step explanation:

Answer:

the correct results would be 6

Answer:

$31

Step-by-step explanation:

x=cost before tax

$32.55 = x + x * 5%  ==> solve for x

$32.55 = x + x * 5/100  

$32.55 = x + 5x/100

$32.55 = 100x/100 + 5x/100 ==> make common denominators

$32.55 = (100x+5x)/100

$32.55 = 105x/100  ==> simplify

100 * $32.55 = 100 * 105x/100  ==> multiply by 100 on both sides to remove

                                                         fractions

$3255 = 105x

x = $3255/105

x = $31

The expression (xmynzp)q can be written as xq * yq * zq * p*q, where each base is raised to the power of q.

To simplify the expression (xmynzp)q, we can apply the exponent rules. According to the rule (ab)c = aᶜ * bᶜ, we can distribute the exponent q to each term inside the parentheses.

Starting with the expression (xmynzp), we raise each variable to the power of q:

(xmynzp)q = xq * yq * zq * p*q

This means that each base, x, y, z, and p, is raised to the power of q.

The result of simplifying the expression (xmynzp)q is xq * yq * zq * p*q. Each base is raised to the power of q, and the product of these terms gives the final simplified expression.

Therefore, we have simplified the expression (xmynzp)q to xq * yq * zq * p*q.

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Answer:

30

Step-by-step explanation:

2x+5x= 105

7x= 105

x= 105/7

x= 15

First part= 2x= 2(15)= 30

Answer:

5 HOURS

Step-by-step explanation:

Answer:

5 hours

Step-by-step explanation:

Answer:

$ 40.82

Step-by-step explanation:

the sum of the three numbers is 40.82.

Answer:

y = x - 3

Step-by-step explanation:

If the gradient (slope) of the line is m, then the point-slope form of the appropriate equation  is y - k = m(x - h).  If the gradient is 1, then

                                         y - k =   x - h

Since this line passes through (4, 1), we have

                                          y - 1 = x - 4, or

                                            y = x - 3

Answer:

O 4th option : (-4, -2)

Step-by-step explanation:

⇒ 9x - 9y = -18

⇒ -6x + 9y = 6

⇒ (x , y)

⇒ (-4, -2)

Answer:

(-4, -2)

Step-by-step explanation:

When using the elimination method, we combine the equations to get one. To combine them, we have to find a term with a number that is either positive or negative to the other, example : -6y and 6y, or 4x and -4x. We then take them and combine both equations to get one. Becuase they are the same, they simply cancel each other out.

9x - 9y = -18

-6x + 9y = 6

3x = -12

Divide both sides by 3 to get x alone

x = -4

Now, to find the y value, we can now plug in what we found for x.

9(-4) - 9y = -18

-36 - 9y = -18

Add 36

-9y = 18

Divide by -9

y = -2

Therefore making the solution, (-4, -2)

Answer:

$ 3,062.61

Step-by-step explanation:

Account Balance= 2,500(1+ .07/1)^3

a) The selection probability you would assign to each of the package designs is equals to the 0.20.

b) No

c) The probability for assign to each package design ( selecting 1 to 5 packages) are 0.05, 0.15,0.30,0.40,0.10 respectively. Package 4 is the highest probability of selection by a customer.

We have a company that manufactures tooth paste is studying five different package designs.

a) We assume that one design is just as likely to be selected by a consumer as any other design so the selection probability you would assign to each of the package designs for all is same = 1/5 = 0.20

b) No, the data confirm does not belief that one design is just as likely to be selected as another.

c) However, according to the actual experiment total number of consumers

= 100

P(package 1 is selected ) = 5/100 = 1/20

= 0.05

P(package 2 is selected ) = 15/100 = 0.15

P(package 3 is selected ) = 30/100 = 0.30

P(package 4 is selected ) = 40/100 = 0.40

P(package 5 is selected ) = 10/100 = 0.10

clearly, we see that all the probabilities differ from one another according to the actual experiment of 100 samples. So, the data does not confirm the belief that one design is just as likely to be selected by a consumer as any other design. Hence, package 4 has highest probability of selection.

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Complete question:

a company that manufactures toothpaste is studying five different package designs.

a) assuming that one design is just as likely to be selected by a consumer as any other design, what selection probability would you assign to each of the package designs (to 2 decimals)?

b) In an actual experiment, 100 consumers were asked to pick the design they preferred. the following data were obtained. number of design times preferred 1 5 2 15 3 30 4 40 5 10

do the data confirm the belief that one design is just as likely to be selected as another? select

c) based on the actual experiment, what probability would you assign to each package design (to 2 decimals)? design probability 1 2 3 4 5 which package design has the highest probability of selection by a customer? select

The average velocity from t = 2s to t = 4s would be - 48 ft/s.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t) = - 16t² + 48t + 120.

Average rate of change of velocity with time is called average velocity. Mathematically -

v{avg.} = Δx/Δt                                                         .... Eq { 1 }

Δx = x(4) - x(2)

Δx = - 16(4)² + 48(4) + 120 - {- 16(2)² + 48(2) + 120}

Δx = - 96

Δt = 4 - 2 = 2

So -

v{avg.} = Δx/Δt = -96/2 = - 48 ft/s

Therefore, the average velocity from t = 2s to t = 4s would be - 48 ft/s.

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Answer:

Congruent triangles are exact same triangles, but they might be placed at different positions. The corresponding congruent part for each segment or angle can be arranged as shown below.

What are congruent triangles?

Suppose it is given that two triangles ΔABC ≅ ΔDEF

Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.

The order in which the congruency is written matters.

For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.

Thus, we get:

(|AB| denotes the length of line segment AB, and so on for others).

Given the two triangles, ΔDFC and △SNP are congruent to each other, DFC≅△SNP. Therefore, we can write,

Step-by-step explanation:

The pattern of association for the scatter plot is a strong, negative nonlinear association.

We have,

A scatter plot is a type of graph used to display the relationship between two variables. It is also known as a scatter diagram, scatter chart, or scattergram. In a scatter plot, each observation consists of a pair of values, one for each variable, and is represented by a single point on the graph.

Looking at the scatter plot, we can observe that the points do not form a straight line, indicating that there is a nonlinear association between the number of cupcakes and the cost per cupcake.

We can also see that as the number of cupcakes ordered increases, the cost per cupcake generally decreases until it reaches a minimum value, after which it remains relatively constant.

Therefore, the pattern of association for the scatter plot is a strong, negative nonlinear association.

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The point that is -2 on the number line is point B. Option B

We know that the number line can be taken as a representation of the numbers. We ought to know that the numbers that we find on the number line are the numbers that are increasing to the right as shown.

In the question that we have, the task that is before us is that we should be able to locate the point on the number line that has been labelled as -2 on this the point B non the line. This is the point that is read off as -2.

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Answer:

30

Step-by-step explanation:

Dominique should have paid $30

ex: 7.5 x 4.00= 30

Answer:

2/3

Step-by-step explanation:

Answer:

you need to do the math then divide numerator by dumerstor then x 100

The residual sum of Squares (RSS) is 22. Thus, the correct option is d. 22.

To calculate the residual sum of squares (RSS), we need to find the difference between the actual y-values and the predicted y-values (based on the regression line), square those differences, and sum them up.

Given the regression line ŷ = 3 + 2x, we can substitute the x-values from the data points to calculate the predicted y-values. Let's calculate the predicted y-values for each data point:

For the data point (4,8):

ŷ = 3 + 2(4) = 3 + 8 = 11

For the data point (2,5):

ŷ = 3 + 2(2) = 3 + 4 = 7

For the data point (1,2):

ŷ = 3 + 2(1) = 3 + 2 = 5

Now we can calculate the differences between the actual y-values and the predicted y-values:

For the data point (4,8):

Residual = 8 - 11 = -3

For the data point (2,5):

Residual = 5 - 7 = -2

For the data point (1,2):

Residual = 2 - 5 = -3

Next, we square each of the residuals:

(-3)^2 = 9

(-2)^2 = 4

(-3)^2 = 9

Finally, we sum up the squared residuals:

RSS = 9 + 4 + 9 = 22

Therefore, the residual sum of squares (RSS) is 22. Thus, the correct option is d. 22.

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Answer:

B

Step-by-step explanation:

x=12 is the vertical asymptote.

A graph's vertical asymptote is a vertical line with the equation x = a, in which the graph tends to negative or positive infinity as even the inputs get closer to the value of a. A graph's horizontal asymptote is a horizontal line with the equation y = b, where the graph moves closer to the line as even the inputs go closer to 0 or -1.

The function also makes progress toward 12 in the graph but never actually reaches it.

Therefore, x=12 is the vertical asymptote.

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To find the center of a circle, given three points on the circumference, we can use the following steps:

1. Draw the chord connecting two of the given points on the circle.

2. Draw a perpendicular bisector to the chord from the third given point.

3. Repeat steps 1 and 2 using different pairs of points.

4. The intersection of the perpendicular bisectors is the center of the circle.

The reason this method works is that the center of the circle must lie equidistant from all points on the circumference. Each perpendicular bisector we draw from the third point ensures that the center of the circle must lie on that line, which means that the center must be where all the bisectors intersect.

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x=-28......................

1) Rewrite the given differential equation: The given differential equation is y dx - 6(x + y^8) dy = 0. We can rewrite it as: y dx = 6(x + y^8) dy

2. Separate variables:
Now, separate the variables x and y:
(y/6) dx = (x + y^8) dy

3. Integrate both sides:
Integrate both sides of the equation with respect to their corresponding variables:

∫(y/6) dx = ∫(x + y^8) dy

(1/12)xy = (1/2)xy + (1/9)y^9 + C

4. Solve for x(y):
To find the general solution in form x(y), rearrange the equation: x(y) = 3y^8 + Cy^6

5. Find the largest interval:
To find the largest interval over which the general solution is defined, consider the domain of y.

The general solution is defined for all y except y = 0 (since this would result in a division by zero). Therefore, the largest interval is: (-∞, 0) ∪ (0, ∞)

6. Determine transient terms:
Since the general solution does not contain any terms that tend to zero as y approaches infinity, there are no transient terms. So the answer is: NONE

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