Ying Yu bought a rectangular box to display her doll collection. She decided


to exchange the box for a similar one that had five times its dimensions.


How does the volume of the larger rectangular box compare to the volume


of the smaller box?

Answer:

x=16

Step-by-step explanation:

if the lines were parallel then that means that (7x+2) = (8x-14) because they are corresponding angles. just isolate the varible so subtract 7x from both sides and add 14 to both sides. and they you get x=16

We know that the probability of getting a head in a single coin is:

Now, we can calculate the probability of X out of N coins landing heads up with the binomal distribution:

With p = 0.5 and N = 4, we get:

Subtituting X = 1 ("getting one head"), we get that:

Answer:

It’s either A or C. However I’m mostly going with C. For C tells us 2 hours and 23 minutes have passed. I hope this helps.

Step-by-step explanation:

Please correct me if I am wrong.

Answer:

the slope is 5. 5/1

Step-by-step explanation:

Use rise over run to find slope. It is the easiest way to find slope

You rise 5 and 1 to the right

Answer:

The slope is 5

Step-by-step explanation:

So you're just trying to find the slop. We're going to choose 2 points to use which are already marked on the graph.

(0, 2) and (-1, -3)

So to find the slope, we have to find (the difference in y) / (the difference in x)

So we're going to do

-3-2/-1-0

Which is

-5/-1

So since there are two negatives, it become positive, and it'll simplify into 5.

So the slope of the line is 5

Answer:

3

Step-by-step explanation:

4200÷25= 168 (bags)

168÷60= 2.8 (boxes)

you cant have 0.8 of a box, so you take 1

The graph of the function y = f(x) can be sketched based on the given information.

The function y = f(x) has an odd symmetry, meaning it is symmetric about the origin. It has x-intercepts at -5 and 5, with the point (5,0) on the x-axis. There are no asymptotes present.

The function is increasing on the intervals (-∞, -2.15) and (2.15, ∞), and it is decreasing on the interval (-2.15, 2.15). This indicates that as x approaches negative infinity or positive infinity, the function's values increase, while it decreases as x approaches -2.15 and 2.15.

The function has a relative maximum at (-2.15, 4.3) and a relative minimum at (2.15, -4.3). The concavity of the function is upward on the interval (0, ∞), meaning the graph curves upward, and it is downward on the interval (-∞, 0), where the graph curves downward.

Taking all these pieces of information into account, we can sketch the graph of y = f(x) accordingly, considering the symmetry, x-intercepts, increasing and decreasing intervals, relative extrema, and concavity.

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Answer:

4.34.

9 - 5 = 4

0.67 - 0.33 = 0.34

Guitar is 4.34 minutes longer than Piano.

To subtract means to take away from a group or a number of things.

Given that, a piano solo is 5.33 minutes long, a guitar solo is 9.67 minutes long.

Therefore, 9.67 - 5.33 = 4.34

Hence, the Guitar is 4.34 minutes longer than Piano.

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Answer:

3.844 x 10 to the power of 5 is the answer i think

Step-by-step explanation:

Answer:

If the other person is correct then it should be 3.844 x 10^5 and 3.844E5 as well

Step-by-step explanation:

Answer:

Hello! The Answer is not proportional. Hope this helps!

Step-by-step explanation:

Answer:

Option (B)

Step-by-step explanation:

By using the property of a triangle → " Sum of interior angles of a triangle is 180°"

Therefore, (4x - 40) + (x + 20) + x = 180°

(4x + x) + (-40 + 20) = 180°

5x - 20 = 180

5x = 180 + 20

5x = 200

x = 40

Therefore, value of x will be 40.

Option (B) will be the correct option.

To find y', we need to use differentiation with respect to x on both sides of the equation 4x + y = 7x. A function f has an absolute minimum at x = c if f(c) is the smallest function value on the entire domain of f, whereas f has a local minimum at c if f(c) is the smallest function value when x is near c.

On the left side, the derivative of 4x is 4. On the right side, the derivative of 7x is 7. Since y is a function of x, we need to use the chain rule to differentiate y. The derivative of y with respect to x is denoted as y'.
Therefore, we have:
4 + y' = 7
Solving for y', we get:
y' = 3
(b) To solve for y explicitly, we need to isolate y on one side of the equation 4x + y = 7x.
Subtracting 4x from both sides, we get:
y = 3x
To find y' in terms of x, we differentiate y = 3x with respect to x:
y' = 3
(c) To check that our solutions for parts (a) and (b) are consistent, we substitute the expression for y from part (b) into y' from part (a):
y' = 3 = y' = 3
Therefore, our solutions are consistent.
6. To find Cy by implicit differentiation, we need to differentiate both sides of the equation cos(xy) = sin(x + y) with respect to x.
On the left side, we need to use the chain rule since we have a function of xy. The derivative of cos(xy) with respect to x is: -(y*sin(xy))

On the right side, we also need to use the chain rule since we have a function of x + y. The derivative of sin(x + y) with respect to x is: cos(x + y)
Therefore, we have:
-(y*sin(xy)) = cos(x + y)
Solving for Cy, we get:
Cy = -cos(x + y)/y
7. The difference between an absolute minimum and a local minimum is that an absolute minimum is the smallest function value on the entire domain of f, while a local minimum is the smallest function value when x is near a specific value c.
Option A is correct: A function f has an absolute minimum at x = c if f(c) is the smallest function value on the entire domain of f, whereas f has a local minimum at c if f(c) is the smallest function value when x is near c.

For the equation 4x + y = 7x, we will find y' by implicit differentiation, solve the equation explicitly for y and differentiate to get y' in terms of x, and check the consistency of the solutions.
(a) To find y' by implicit differentiation, we differentiate both sides of the equation with respect to x:
d/dx(4x) + d/dx(y) = d/dx(7x)
4 + y' = 7
y' = 7 - 4
y' = 3
(b) To solve the equation explicitly for y, we isolate y:
y = 7x - 4x
y = 3x
Now differentiate y with respect to x:
dy/dx = d/dx(3x)
y' = 3
(c) To check the consistency of the solutions, we substitute the expression for y from part (b) into the solution from part (a): y' = 3
Since both parts (a) and (b) give us y' = 3, the solutions are consistent.
For the last part of your question, the difference between an absolute minimum and a local minimum is:
A function f has an absolute minimum at x = c if f(c) is the smallest function value on the entire domain of f, whereas f has a local minimum at x = c if f(c) is the smallest function value when x is near c.

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Answer:

If this isnt right im sorry but i think that it is the last answer

sorry if i got it wrong please tell me

Step-by-step explanation:

Answer:

The answer is A: x<1.

Step-by-step explanation: Let's solve the inequality. x+6<7.

Subtract 6 from both sides.

x+6−6<7−6

x<1

That means that the solution to your question is A: x<1.

There is strong negative between age and resting heart rate.

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To obtain the residuals from the fit in 8.4a and plot them against y and x, as well as prepare a normal plot, we need the specific details of the fit and the data used.

WE know that residuals represent the differences between the observed values and the predicted values from a statistical model or regression analysis.

Since the residuals against y and x can help identify patterns or trends in the data that may indicate issues with the model's fit.

A normal plot, known as a Q-Q plot, compares the distribution of the residuals to a theoretical normal distribution. If the residuals closely follow a straight line in the normal plot, the residuals are normally distributed, which is an assumption of many statistical models.

Interpreting these plots involves examining the patterns and deviations from expected behavior. If the residuals exhibit a consistent pattern, it might indicate that the model does not capture all the relevant information in the data.

Thus if the residuals appear randomly scattered around zero with no discernible pattern, it suggests that the model adequately explains the data. Deviations in the normal plot may indicate departures from the assumption of normality in the residuals, which could impact the reliability of statistical inferences.

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The simplified expression for the volume is 8x³ - 2x² - 3x. The answer is option C.

The length of the rectangular prism be x units. The width of the rectangular prism is given by the expression 2x + 1 units. The height of the rectangular prism is given by the expression 4x - 3 units. The volume of a rectangular prism is given by the formula V = lwh. Therefore the volume of the rectangular prism can be expressed as;V = x(2x + 1)(4x - 3)We can simplify this expression by using algebraic factorization. Hence;V = x(2x + 1)(4x - 3)V = x(8x² - 6x + 4x - 3)V = x(8x² - 2x - 3)V = 8x³ - 2x² - 3xHence, the simplified expression for the volume is 8x³ - 2x² - 3x. The answer is option C.

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The simplified expression is D) 8x3 + 14x2 + 3x.

Edge 2023

Area of triangle:-

Area of rectangle (Including semicircle)

Area of semicircle

TOTAL area:-

Answer:

231.48 cm²

Step-by-step explanation:

Formulae

Area of a rectangle = width × length

Area of a triangle = 1/2 × base × height

Area of a semicircle = 1/2 πr²

To find the shaded area:

Find the area of the rectangle. Subtract the area of the semicircle from the rectangle. Add this to the area of the triangle.

Area of the rectangle:

= 12 x 21

= 252 cm²

Area of the semicircle:

= 1/2 π(12 ÷ 2)²

= 1/2 · 3.14 · 6²

= 1/2 · 3.14 · 36

= 56.52 cm²

Area of the triangle:

= 1/2 x 6 x 12

= 36 cm²

Shaded area:

= area of rectangle - area of semicircle + area of triangle

= 252 - 56.52 + 36

= 194.48 + 36

= 231.48 cm²

Answer:

\(y=\frac{-3}{4} x+2\)

Step-by-step explanation:

First, we can find the slope using the slope equation and two of the points.

Slope equation:

\(m=\frac{y2-y1}{x2-x1}\)

I'm going to use the first two points just so I can avoid the fraction... Substitute the x and y values into the equation.

\(m=\frac{2-5}{0--4}\)

Simplify:

\(m=\frac{-3}{4}\)

Now that we have the slope, all we need is the y-intercept. Luckily, it gives it to us in the table. The x value of y-intercepts will always be 0. Looking at the table, we see that the point where x=0 is (0,2). Thus, the y-intercept is 2. Your final equation is

\(y=\frac{-3}{4} x+2\)

Answer:

y = -3/4x + 2

Step-by-step explanation:

we will choose any two points: (-4,5) and (0,2)

an linear equation should be like this y=ax+b

a is the slope, b is the y intercept

to find the slope we will use this formula: y1 - y2/x2 - x1

2-5/0-(-4) = -3/4

y = -3/4x + b

now you can find the answers by putting the values of x and y from the table

Step-by-step explanation:

Answer. in the attachment

By evaluating the quadratic equations we will get:

3c(a-4)+3d(a+5) =  3*(a^3 - 8a^2 + 102a + 22)

Here we have two quadratic functions:

c(x)=x^3-2x and d(x)=4x^2-6x+8

And we want to find the value of the expression:

3c(a-4)+3d(a+5)

First, let's evaluate the functions in these values:

3*c(a - 4) = 3*[ (a - 4)^3 - 2*(a - 4)] = 3*(a - 4)*[ (a - 4)^2 - 2]

               = 3*(a -4)*(a^2 - 8a + 16 - 2)

               = 3*(a - 4)*(a^2 - 8a + 14)

               = 3*(a^3 - 12a^2 + 46a - 56)

3*d(a + 5) = 3*[ 4*(a + 5)^2 - 6*(a + 5) + 8]

                = 3*[ 4a^2 + 40a + 100  -6a - 30 + 8]

                = 3*[4a^2 + 36a + 78]

Then the expression is:

3c(a-4)+3d(a+5) = 3*(a^3 - 12a^2 + 46a - 56) + 3*[4a^2 + 36a + 78]

                           = 3*(a^3 - 12a^2 + 46a - 56 + 4a^2 + 36a + 78)

                           = 3*(a^3 - 8a^2 + 102a + 22)

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Answer:

The practice of using brass rings to stretch the neck, also known as neck elongation or neck stretching, is traditionally associated with the Padaung ethnic group from Myanmar (formerly known as Burma).

From a sociological perspective, the use of brass rings to stretch the neck can be seen as an example of deviance, which refers to behavior that violates social norms and expectations. Deviance can be either criminal or non-criminal, depending on the specific behavior in question and the cultural context in which it occurs.

In the case of Padaung women, the use of brass rings to elongate the neck is a form of non-criminal deviance, as it does not violate any laws. However, it does violate cultural norms and expectations in many other societies, where elongated necks are not seen as desirable or attractive.

Therefore, the practice of neck elongation among Padaung women can be seen as a form of cultural deviance, in which members of a particular group engage in behavior that is not considered acceptable or desirable by the larger society in which they live. At the same time, it can also be seen as an expression of cultural identity and tradition, as the practice has been passed down through generations and is an important part of Padaung culture and heritage.

Answer:

What are you asking for?

Step-by-step explanation:

If you have a picture or link then its not attached

ill put answer in comments if you make what you want clearer

Answer:

\(\boxed {cot T = -\frac{5}{12}}\)

Step-by-step explanation:

Finding the missing side :

Taking the cot value :

Answer:

csc T =13/12

(cot T)^2=csc^2T -1

Cot T)^2=(13/12)^2-1

(cot. T )^2=169/144-1

(cot T)^2=169-144/144

(cot T)^2=25/144

cot T =√ 25/144

cot T=5/12

where cot is negative in WE

so Cot T=-5/12

Step-by-step explanation:

please mark me as brainlest

Answer:

D) If C lies on AB and is between A and B, then AC + CB = AB.

Step-by-step explanation:

Statements A, B and C are postulates while statement D is a theorem.

A postulate is a statement that is true but cannot be proven, but a theorem is a statement that can be proven.

The statement D is the betweenness theorem for points. It states that If C lies on AB and is between A and B, then AC + CB = AB.

This statement can be proven, so it is a theorem.

The integral for finding the area of the region is:

A = ∫[lower bound]^[upper bound] [rightmost bound] dy

A = ∫[1/6]^∞ [6] dy

To sketch the region enclosed by the curves and determine whether to integrate with respect to x or y, let's analyze the given equations:

y = 1/x

y = 1/x^2

x = 6

To begin, let's plot these curves on a coordinate plane:

First, we can observe that both equations involve hyperbolas. The equation y = 1/x represents a hyperbola that passes through the points (1,1), (2,0.5), (-1,-1), etc. The equation y = 1/x^2 represents a hyperbola that passes through the points (1,1), (2,0.25), (-1,1), etc.

Next, the equation x = 6 represents a vertical line passing through the point (6,0) on the x-axis.

Now, to determine the enclosed region, we need to find the limits of integration.

Since the curves intersect at certain points, we need to find these points of intersection. Equating the two equations for y and solving, we get:

1/x = 1/x^2

Multiplying both sides by x^2 yields:

x = 1

Hence, the curves intersect at x = 1.

Therefore, the region enclosed by the curves is bounded by the following:

The curve y = 1/x,

The curve y = 1/x^2,

The vertical line x = 6, and

The x-axis.

To determine whether to integrate with respect to x or y, we need to consider the orientation of the curves. In this case, the curves are defined in terms of y = f(x). Thus, it is more convenient to integrate with respect to y.

To find the area of the region, we need to set up the integral bounds. Since the region is bounded by the curves y = 1/x and y = 1/x^2, we need to find the limits of y.

The lower bound is determined by the curve y = 1/x^2, and the upper bound is determined by the curve y = 1/x. The vertical line x = 6 acts as the rightmost boundary.

Therefore, the integral for finding the area of the region is:

A = ∫[lower bound]^[upper bound] [rightmost bound] dy

A = ∫[1/6]^∞ [6] dy

Now, we can proceed with evaluating this integral to find the area of the enclosed region.

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Answer:

105 eggs

Step-by-step explanation:

Total eggs they bought = ( 8×12) = 96 eggs

They already had 9 eggs so adding 96 and 9 gives us 105 eggs in total

Answer:

1.)no

2.)yes

Step-by-step explanation:

Answer:46

Step-by-step explanation:

Answer:

8b

Step-by-step explanation:

You can factor the b-term out since b-term exists for all terms in the expression. By factoring out, you are basically dividing the factored term off and put it outside of the bracket, thus:

\(\displaystyle{16b-8b=\left(16-8\right)b}\)

Then evaluate and simplify:

\(\displaystyle{\left(16-8\right)b=8\cdot b}\\\\\displaystyle{=8b}\)

Step-by-step explanation:

8÷2(2+2) = 8.

2(2 + 2)

= 8.

4 + 4

= 8.

8

= 1

Answer:

using BODMAS

The answer is 1

Step-by-step explanation:

Bracket Order Division Multiplication Addition and Subtraction