a cube of wood exerts a pressure of 2Pa when it is placed on a floor . What is the force exerted by the cube if its surface area is 5m square?​

To determine the vertices of image U′V′W′ after a 180° counterclockwise rotation, we can apply the following transformation rules:

Using these rules, we can find the vertices of image U′V′W′ as follows:

Therefore, the vertices of image U′V′W′ after a 180° counterclockwise rotation are U′(0, -2), V′(1, -3), and W′(3, -3).

So, the answer is option (b) U′(0, −2), V′(1, −3), W′(3, −3).

Answer:

Step-by-step explanation:

Joint density function is as follows: \(f(x, y) = 16y\ x3 , x > 2, 0 \leq y \leq 1\).

We need to find the marginal density function of X. Using the formula of marginal density function, \(f_X(x) = \int f(x, y) dy\)

Here, bounds of y are 0 to 1.

\(f_X(x) =\int 0 1 16y\ x3\ dyf_X(x) \\= 8x^3\)

Now, the marginal density function of X is \(8x^3\).

Marginal density function helps to find the probability of one random variable from a joint probability distribution.

To find the marginal density function of X, we need to integrate the joint density function with respect to Y and keep the bounds of Y constant. After integrating, we will get a function which is only a function of X.

The marginal density function of X can be obtained by solving this function.

Here, we have found the marginal density function of X by integrating the given joint density function with respect to Y and the bounds of Y are 0 to 1. After integrating, we get a function which is only a function of X, i.e. 8x³.

The marginal density function of X is \(8x^3\).

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Let's say the smaller number is x.  Then, we can represent the larger number as x + 1. The +1 means that it's both larger, because adding makes a number larger, and consecutive, because it's 1 greater or less.

Then, we can write an equation. The sum of the two numbers is x + (x + 1), and it's equal to -165.

x + (x + 1) = -165

2x + 1 = -165

2x = -166

x = -83

Since x = -83, the smaller number is -83.

B) Quick Sort is algorithms sorts data by recursively splitting the array into smaller sub-arrays, until eventually reaching single-element sections, and then joins the sub-arrays back together in sorted order

Merge Sort is an effective algorithm for sorting the data items of a list or an array. This algorithm's fundamental idea is to break the unsorted list into many sub-lists until every sub-list contains only one item.

The merging procedure then recombines all of the sublists, resulting in a sorted list. Divide-and-conquer is the name given to this merging process. Merge Sort divides the original list into N sublists, each of which contains one element.

The Merge Sort algorithm is faster than other sorting algorithms when it comes to time complexity. The time complexity of Merge Sort is O (n log n), which is better than Bubble Sort and Insertion Sort.

It is a more efficient sorting algorithm than other algorithms, such as bubble sort, which has a higher time complexity of O (n²).

Therefore, we can say that Merge Sort is the most efficient algorithm to sort an array in ascending or descending order.

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Answer:

b

Step-by-step explanation:

Answer:

c 25

Step-by-step explanation:

The exponents cancel out and leaves you with 5 × 5. which is 25

Answer:

A and B both have an input that has multiple outputs so the answer is C and D.

The length of the vector function F(t) over the interval -6 ≤ t ≤ 8 is  D) L = 14√56.

The length of the vector function F(t) = <3 - 4t, 6t, -(9 + 2t)> from -6 ≤ t ≤ 8, we need to calculate the integral of the magnitude of the derivative of F(t) with respect to t over the given interval.

The magnitude of a vector v = <x, y, z> is given by ||v|| = √(x² + y² + z²).

First, let's find the derivative of F(t):

F'(t) = <-4, 6, -2>

Next, let's find the magnitude of F'(t):

||F'(t)|| = √((-4)² + 6² + (-2)²)

= √(16 + 36 + 4)

= √56

Now, we can calculate the length of F(t) over the interval -6 ≤ t ≤ 8 by integrating ||F'(t)|| with respect to t:

L = ∫(√56) dt

= √56 ∫dt

= √56 × t + C

Evaluating the integral over the given interval:

L = √56 × t + C| (-6)⁸

= √56 × (8 - (-6))

= √56 × 14

= 14√56

Therefore, the length of the vector function F(t) over the interval -6 ≤ t ≤ 8 is 14√56.

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I cant get it can you

explane plz

Answer:

Step-by-step explanation: 3×6+1,3×6 is 18+1 is 19/6 is your answer

Step-by-step explanation:

photo please ......................

Answer:

Step-by-step explanation:

need to see the graph

We can plot in the coordinate plane if an ordered pair is known to us.

The space or plane in where location of points is represented by a pair of numerical terms with respect to some reference lines or reference direction is called coordinate plane.

let we have some pair of numerical terms such as A (4, 9) and B (6, 10)

that is needed to plot in the coordinate plane.

At first, we will plot the point A (4, 9)

we will start from the origin and move horizontally along the direction of X axis up to 4 unit. In the next, start again and move up vertically in the direction of y axis up to 9 unit. And we will draw a point at the final location.

By the same way, we can plot the point B.

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Step-by-step explanation:

five times nine is forty-five

5/x = x/ 9

Cross-multiply

x² =45

Take the square root of both-side

x = 3√5 or 6.7082039325

Answer:

y = x(2.50)+3.25

Step-by-step explanation:

y (total cost )= x (miles rode) * 2.50 (cost per mile) + 3.25 (initial cost)

Answer:

0.7 is a decimal and 70/100 or 70% is the percentage for 35/50.

Step-by-step explanation:

Hope this helps!

The volume of the slice = π(64 - x²) cm³, and the exact volume of the cylinder = 128π cm³.

Explanation:

Given values: Radius of the cylinder = 8 cm height of the cylinder = 6 cmWidth of slice = 1 cmLet us find the expression for the volume of the slice used in the Riemann sum representing the total volume of the cylinder:

Volume of slice = (Area of the slice) × (Width of the slice)

Area of slice = πr² where, r is the radius of the circular slice.

The volume of slice = πr² × (Width of the slice)For a general rectangular slice of the cylinder with a width of 1 cm and radius r, we get:r = 8 - x (since the slice is taken at a distance of x from the end of the cylinder)

Width of slice = Δx = 1 cmArea of slice = π(8 - x)²Volume of slice = π(8 - x)² × (1) = π(64 - 16x + x²) cm³Let us write a definite integral that represents the exact volume of the cylinder:

To evaluate the definite integral, we will use the Riemann sum, with Δx = 0.001.Number of slices, n = (8 - 0)/0.001 = 8000Interval [a, b] = [0, 8]Height of each slice, f(xi) = π(64 - 16xi + x²)Definite integral = \(\large\int\)f(x)dx = \(\lim_{n\to\infty}\sum_{i=1}^n f(xi)Δx\)= \(\lim_{n\to\infty}\sum_{i=1}^n π(64 - 16xi + x²)Δx\)= \(\lim_{n\to\infty}\) π\(\sum_{i=1}^n\) (64 - 16xi + x²)Δx= π\(\large\int\)[64 - 16x + x²]dx= π[(64x - 8x² + (1/3)x³)]8 to 0= π[(64 × 8 - 8 × 8² + (1/3) × 8³) - (64 × 0 - 8 × 0² + (1/3) × 0³)]= 128π cm³

Hence, the volume of the slice = π(64 - x²) cm³, and the exact volume of the cylinder = 128π cm³.

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Answer:

above sea level

Step-by-step explanation:

The equation of line that passes through the point (-8, 5) and perpendicular to y = 4x - 2 is, \(y=-\frac{1}{4}x+3\).

What is point slope form of the line?

The general form of a linear equation is y - y1 = m(x - x1). It draws attention to the line's slope and one of the line's points (that is not the y-intercept).

The equation of a straight line that passes through a particular point and is inclined at a specific angle to the x-axis can be found using the point slope form.

Consider the given equation of line

y = 4x - 2

And the point is (-8, 5).

We have to find the equation of line that passes through the given point and perpendicular to the given line.

First to find the slope of the line.

Since, slope of the perpendicular line is negative reciprocal of the slope of the given line.

Here, slope of the line is 4.

So, the slope of the perpendicular line is -1/4.

Now, consider the point slope form of the line,

\(y-y_1=m(x-x_1)\)

Plug \((x_1, y_1) = (-8, 5), m = -\frac{1}{4}\)

\(y-5=-\frac{1}{4}(x-(-8)) \\y-5=-\frac{1}{4}(x+8)\\ y-5=-\frac{1}{4}x-2\\y=-\frac{1}{4}-2+5\\ y=-\frac{1}{4}+3\)

Hence, the equation of line perpendicular to the given line is, \(y=-\frac{1}{4}x+3\).

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Answer:

Who is gibby

Step-by-step explanation:

Step-by-step explanation:

mean is all the numbers added together, which is 35 and divide by the amount of numbers so 35 divide 5 is 7. Mean= 7

Medial is the number in the middle so 4 is the medial. Because it is in the middle of all the numbers.

Hope this helps.

Answer:

x = 0

Step-by-step explanation:

4x=0

divide both sides of the equation by 4

x=0

so,

x=0

the overall answer to your question is 0

Answer:

Step-by-step explanation:

You are given four responses to a question and are to identify which of those four are correct.  

The first one is FALSE, because the divisor -2 results in a non-zero remainder.

The second one is also FALSE.  The y-intercept is (0, -4).

The third one is TRUE.  Division by -2 results in a remainder of -6, which is the y-value of the function at -2.

The fourth is FALSE.

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

Answer:

The answer is 16.8 cm^ 2.

$3,914 to $9,785  is the range for the closing costs on a $195,700 mortgage.

To calculate the range for the closing costs on a $195,700 mortgage, we can use the percentages provided (2% and 5%) and apply them to the mortgage amount.

First, we find 2% of $195,700:

2% of $195,700 = (2/100) * $195,700 = $3,914

Next, we find 5% of $195,700:

5% of $195,700 = (5/100) * $195,700 = $9,785

Therefore, the range for the closing costs on a $195,700 mortgage is $3,914 to $9,785.

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Answer: The answer is 226.2 feet.

Step-by-step explanation: The formula to find the total surface area of a cylinder is 2\(\pi\) x radius squared x height. If you use the formula you will get 226.19 feet as your answer and I rounded that to 226.2 feet.

UR MOM

Question 4: Laura applies for the position of ambulance medic. To give her a job simulation (behavioral interview) screening test, the interviewer...

This question involves providing a job simulation or behavioral interview, which allows the interviewer to observe how the candidate performs in a simulated work situation. This type of question assesses the candidate's skills, abilities, and behavior in a real or simulated work scenario, providing a more accurate evaluation of their capabilities for the job.

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