A cube-shaped box has side lengths of 1.5 m, and it exerts a force of 63 N on the ground. Calculate the pressure, in N/m², that the box exerts on the ground. If your answer is a decimal, give it to 1 d.p.​

Answers

Answer 1

Answer:

28 N/m²

Step-by-step explanation:

Since you are calculating pressure, you want your question in N/m².

Note that the one side of the box has a length of 1.5m, and so to get the area of the bottom face, you need to square 1.5m::

(1.5m)² = 2.25m²

Then you need to use the formula P=F/A

Where P is pressure, F is force, and A is area, plug in your variables::

P = [tex]\frac{63N}{2.25m^{2} }[/tex]

Then you get an answer of:[tex]28 \frac{N}{m^{2} }[/tex]

You always want to make sure that the answer's units align with what you are told to solve for. In this case, they do, so no further steps are needed.

Hope this helps! :)


Related Questions

a. If Ax = b has a solution and Aᵀy = 0, then y is perpendicular to ___.
b. If Aᵀy = c has a solution and Ax = 0, then x is perpendicular to ___.

Answers

The answer to question (a) that is if Ax = b has a solution and [tex]A^{T}[/tex] y = 0 then y is perpendicular to b

Answer to question (b) that is if [tex]A^{T}[/tex] y = c has a solution and Ax = 0 then x is perpendicular to c.

a) As Ax = b has a solution for x this means b lies in the column space of A. We also know that [tex]A^{T}[/tex] y = 0. This means y lies in the orthogonal complement of the column space of A or in the left null space of A. Therefore y is perpendicular to b

b) We see [tex]A^{T}[/tex] y = c has a solution. This tells us that c lies in the row space of A and also from the given Ax = 0 we can deduce that x lies in the null space of A or the orthogonal complement of row space of A. Therefore evidently  x will be perpendicular to c

Determine whether AT has a row space same as column space of A

//brainly.com/question/18994468

#SPJ4

The graph of a function g is shown below.
Find g (0)

Answers

g(0) is equal to -4.

Use the law of cosines to solve the following problem.The robot arm shown in the figure places packages on a conveyer belt. What is the distance x?

Answers

SOLUTION

Using cosine rule it follows:

[tex]x^2=3.00^2+2.25^2-3(2.25)\cos110[/tex]

Simplify the equation for x

[tex]x=\sqrt{3.00^2+2.25^2-3(2.25)\cos110}[/tex]

Therefore the required answer is

[tex]x=\sqrt{3.00^2+2.25^2-3(2.25)\cos(110)}[/tex]

The table below shows the population of the state of Washington for several decades starting in1900.Year1900191019201930194019501960Populationin millions0.521.151.371.571.742.392.86If the population is modeled by an exponential function of the form P(t) = a(b)^t, where t is yearssince 1900, which of the following would be a reasonable value for a?0.522.860.0351900

Answers

a represents the initial value of the function. Since the function starts at 1900, the associated population value for this year should be the answer. The answer is 0.52.

anyone know this one i was having troble

Answers

The zero of the linear function will be at (1, 0).

A linear function is the one which can be represented in the form y = ax + b where a, b are coefficients and x, and y are independent and dependent variables respectively. The zero of a line is the point where the line crossed the x-axis which is also known as the x intercept. The equation of the line in slope intercept form is given as y = mx + c where m is the slope and c is the y intercept. The slope of line from points (0, 5) and (2, -5) can be found by m = -5 - 5/2 -0

m = -10/2

m = -5

Now, putting this and the point (0, 5) in y = mx + c we get

5 = -5×0 + c

=> c = 5

Now, equation of line is y = -5x + 5 and for x intercept we put y = 0

0 = -5x + 5

5x = 5

=> x = 1

=> (1, 0) which is the required point

Learn more about linear function at:

brainly.com/question/4025726

#SPJ1

Juan rented a truck for one day. There was a base fee of $9.00, and there was an additional charge of 7 cents for each mile driven. The total cost, C (in dollars), for driving x miles is given by the following function.
C (x) = 9.00 + 0.07x
What is the total rental cost if Juan drove 30 miles?

Answers

Answer:

$11.10

Step-by-step explanation:

Ez

The midpoint of AB is (2,7) and point A is located at (5,-3).
What are the coordinates of point B?

Answers

The coordinates of point B =(5,10)

what is coordinates?

Coordinates are a set of values which helps to show the exact position of a point in the coordinates plane.

step - by - step  explanation

5-2 = 3

2-3= -1 = the x coordinate of B

-7-3= -10

-7-10 = -13 = the y coordinate of B

(-1, -13) is the point B

A is 3 to the right of the midpoint ,so B is 5 to the left to the midpoint

A is 10 up from the midpoint so B is 10 down from the midpoint.

so the coordinates of point B is (5,10)

to know more about coordinates and midpoints , click here :

brainly.com/question/357686

# SPJ13

find the equation of a parabola with a focus of (0, -1) and directrix y = 1

Answers

Solution

For this case we see that the focus is (0,-1)

And the directrix is y=1

So then we have a parabola that open downwards:

The vertex is given by V= (h,k)

The focus is given by: F = (h, k+p)

And the directrix is given by: y= k-p

So then replacing we got:

1 = k-p (1)

h = 0

k+p = -1 (2)

Using equation (1) we got k:

k = p+1

Replacing into second equation we got:

p+1+p = -1

2p = -2

p= -1

k = -1 +1= 0

Then the vertex is given by: V= (0, 0)

And the formula is given by:

[tex](x-0)^2=4(-1)(y-0)[/tex]

And thats equivalent to :

[tex]x^2=-4y[/tex]

HELP PLS
Do anybody know answer to these problomes?

Answers

you can do this easily by BODMAS Frist open small bracket and slove it then open curly bracket and solve it at last open third bracket and open it then solve

Remember you should always open divide first then multiply then add and then subtract

Practice it is easy.

Step-by-step explanation:

[tex]28 \div (1 + 2 \times (19 - 16))[/tex]

[tex]28 \div (1 + 2 \times 3) [/tex]

[tex]28 \div (1 + 6)[/tex]

[tex]28 \div 7[/tex]

[tex]4[/tex]

Here are two expressions whose product is a new expression, A: 1. What could we put in the boxes to make A be a polynomial?

Answers

We are given the following product:

[tex](-2x{}^3+B)(x^n+15)=A[/tex]

For "A" to be a polynomial the value of the first box "B" must be a constant or a term of the form:

[tex]ax^n[/tex]

We will use a constant. We will substitute the first box for "1":

[tex](-2x^3+1)(x^n+15)=A[/tex]

For the second box, we need to use an exponent that is a positive whole number.

We will use 2:

[tex](-2x^3+1)(x^2+15)=A[/tex]

With these values, the result of the product is a polynomial.

Given the graph above, what is the slope of this line?

Question 2 options:

1.m = -2


2. m = 3


3. m = 0


4. m = -3/2

Answers

Answer:

my answer would be m=-3/2

Step-by-step explanation:

given the coordinates

(0,0) - this is the origin and the first coordinate it will be treated as x1=0,y1=0

(-2,3)- this is the second given coordinate and will be treated as x2=-2,y2=3

To find the slope(m) we use the formula

m=y2-y1/x2-x1

m=3-0/-2-0

m=-(3/2)

m=-3/2

rate as brainliest

Suppose line g is the line with equation y=x. Given A(8,−5), B(7,3), and C(−1,−7), what are the coordinates of the vertices of △A′B′C′ for the reflection?

Answers

The point (x,y) on the reflection about y = x axis changes to,

[tex]A(x,y)\rightarrow A^{\prime}(y,x)[/tex]

Determine the coordinates of the vertices of triangle after reflection.

[tex](6,3)\rightarrow(3,6)[/tex][tex](8,-3)\rightarrow(-3,8)[/tex][tex](-2,-6)\rightarrow(-6,-2)[/tex]

So vertices of triangle after reflection is,

(3,6), (-3,8) and (-6,-2)

what is the slope of a line that passes through (1,3) and (-7,-5)

Answers

[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-5-3}{-7-1} \\ m=\frac{-8}{-8} \\ m=1 \\ \text{So, the slope of the equation is 1.} \end{gathered}[/tex]

10. A 300-room hotel collects $125 per occupied room and does not collect any money for vacantrooms. Which of the following functions best represents how many dollars, d, the hotel generates ifthere are v vacant rooms in the hotel?O d = 125(300 + V)O d = 300(75 - v)O d = 300(75+)O d = 125(300 - V)

Answers

If there are v vacant rooms, the number of occupied rooms is 300-v (in total there are 300 rooms).

As every occupied makes the hotel collect 125, the dollars the hotel generates are:

[tex]d=125(300-v)[/tex]

It means that the correct answer is the last option.

3. Compare the numbers 5/9 and 0.5^- Use the symbols <, >, or =.

Answers

[tex]\frac{5}{9}=\text{ 0.555555555}[/tex]

So 5/9 is equal to 0.5- so the right answer is

[tex]\frac{5}{9}=0.\bar{5}[/tex]

the little line on the top of the number means that this number will be repeated Infinitely is like 0.555555555...

Consider the matrix.[k q h][w p r]Which statement is true?A. The matrix has 2 rows and 2 columns.B. The matrix has 2 rows and 3 columns.C. The matrix has 3 rows and 2 columns.D. The matrix has 3 rows and 3 columns.

Answers

[tex]\begin{gathered} \text{ The number of horizontal values is the number of columns!} \\ \text{the number of vertical values is the number of rows!} \\ \\ \text{thus the matrix has 2 rows and 3 columns!} \end{gathered}[/tex]

Answer and explanation pls​

Answers

Ray is a part of a line that has a fixed starting point but no endpoints.

There is no end point of any of those rays.

The point V labeled in the diagram is not on any of those rays.

What is a ray?

Ray is a part of a line that has a fixed starting point but no endpoints.

We have,

Four rays:

SP, SQ, SU, and SW

A ray has a starting point but does not have an endpoint.

There is no end point of any of those rays.

There are seven points in the diagram.

P, Q, S, V, T, U, and W.

We see that point V does not lie on any of the four rays.

Thus,

There is no end point of any of those rays.

The point V labeled in the diagram is not on any of those rays.

Learn more about rays here:

https://brainly.com/question/17491571

#SPJ1

hello this is all 1 math problem together may I get help with the solve and check .

Answers

The given expression is,

[tex]7n+14=-21[/tex]

So bringing "14" to the other side of the euals,

[tex]\begin{gathered} 7n=-21-14 \\ =-35 \end{gathered}[/tex]

On division,

[tex]\begin{gathered} 7n=-35 \\ n=-\frac{35}{7}=-5 \end{gathered}[/tex]

Now, let us substitute -5 for n,

[tex]7\times(-5)=-35[/tex]

Hence checked.

Can you help me ?
This question has two parts. First, answer Part A. Then, answer Part B.
Part A
Fill in the blank question.
The cost of a school lunch is $2.50.



Complete the table to show the total cost of 1, 2, 3, and 4 lunches.



Lunches Bought 1 2 3 4
Total Cost ($)
Part B
Select the correct choices to complete the sentence.
The total cost is , 1 of 2.
Select Choice
to the number of lunches bought because the ratios between the quantities , 2 of 2.
Select Choice
the same unit rate.

Answers

The cost for the lunches will be:

1 lunch = $2.50

2 lunches = $5

3 lunches = $7.50

4 lunches = $10

How to calculate cost?

From the information, the cost of a school lunch is $2.50. Therefore, the cost of 1 lunch will be:

= 1 × $2.50

= $2.50

The cost of 2 lunches will be:

= 2 × $2.50

= $5.00

The cost of 3 lunches will be:

= 3 × $2.50

= $7.50

The cost of 4 lunches will be:

= 4 × $2.50

= $10

Learn more about cost on:

brainly.com/question/25109150

#SPJ1

Find the range PLEASE HELP!!! EXTRA POINTS

Answers

A is the answer because the graphing and if you put that into graph and measure points and look at function

the domain is the interval or set of all valid values for x (the input variable).

the range is the interval or set of all valid values for y or f(x) (the function result variable).

the functional result values for the first piece :

x - 4 for 0 <= x < 2

for x = 0 we get y = -4

for x = 2 we get y = -2

the range for this piece is [‐4, -2).

we use the round bracket to indicate -2 itself is not included, as we have x < 2 (and not x <= 2).

the functional result values for the second piece :

x² - 3x + 4 for 2 <= x < 4

for x = 2 we get 4-6+4 = 2

for x = 4 we get 16-12+4 = 8

the range for this piece is [2, 8)

again, because of x < 4 we use the ")" for 8 (not included).

the functional result values for the third piece :

5 for 4 <= x < 7

the range is simply [5) = [5] because the set contains only one element.

and 5 is already contained in the range of the second piece.

so, the range is just the combination of the ranges of the first 2 pieces :

[-4, -2) U [2, 8)

LetW = the set of whole numbersF = the set of (non-negative) fractionsI = the set of integersN = the set of negative integersQ = the set of rational numbersSelect each set that is closed under addition.

Answers

Verify each set

W ---------> are closed under addition

F ------> are closed under addition

I ------> are closed under addition

N ----> are closed under addition

Q ----> are closed under addition

I really need help with this question!! How do you solve it?In 1985, they discovered a new sea creature. It was found to have an initial population of 832. Assuming the population was growing at a rate of 2.3% each year, when will the population exceed 1500?

Answers

Solution:

The growth rate is given below as

[tex]r=2.3\%[/tex]

The initial population is

[tex]P_0=832[/tex]

The exponential growth formula is given below as

[tex]\begin{gathered} P=P_0(1+r)^t \\ 832(1+\frac{2.3}{100})^t=1500 \\ 832(1.023)^t=1500 \\ (1.023)^t=\frac{1500}{832} \\ (1.023)^t=1.803 \\ take\text{ ln of both sides} \\ ln(1.023)^t=ln(1.803) \\ tln(1.023)=ln(1.803) \\ t=\frac{ln(1.803)}{ln(1.023)} \\ t=25.9years \\ \end{gathered}[/tex]

Hence,

The final answer is

The population will exceed 1500 in approximately 26 years' time

In the diagram below, if < 2 = 123 °, what would be the measure of < 7?

Answers

Given:

[tex]\angle2=123^{\circ}[/tex]

To find:

The angle 7.

Explanation:

We know that,

The sum of the exterior angles is supplementary.

So, we can write

[tex]\begin{gathered} \angle2+\angle7=180 \\ 123^{\circ}+\angle7=180 \\ \angle7=180-123 \\ \angle7=57^{\circ} \end{gathered}[/tex]

Therefore, angle 7 is 57 degrees.

Final answer:

Angle 7 is 57 degrees.

49. Calculate the limit. Some of these limits are made easier by considering the logarithm of the limit first, and some are not.

lim x^lnx
x→0+

Answers

The limit of xlnx when x is tending towards zero is zero.

What is limit in mathematics?

In mathematics, a limit is the value that a function (or sequence) approaches as the input (or index) approaches a particular value. Without limits, it is impossible to perform calculus or mathematical analysis; limits are also necessary to compute continuity, derivatives, and integrals.

Given limit is:

[tex]\lim_{x \to 0} x lnX[/tex]

Considering f = x, and g = ln x

The limit of f and g are both zero or both ±∞, and the limit f′/g′ exists, then the limit f/g equals it.

The wrong in the expression x lnx is we are individually defining f and g doesn't meet the hypothesis. so, we write it as

[tex]\frac{lnx}{1/x}[/tex]

We now use L' Hospital rule with f(x) = lnx, g(x) = 1/x as

The limits

[tex]\lim_{x \to 0^+} lnx= - \infty[/tex], and

[tex]\lim_{x \to 0^+} \frac{1}{x}[/tex]

The limits  [tex]\lim_{x \to 0^+} \frac{f'(x)}{g'(x)}[/tex] exists as:

[tex]\lim_{x \to 0^+} \frac{1/x}{-1/x^2} = \lim_{x \to 0^+} -x = 0[/tex]

Hence the answer is 0.

To know more about limits, go to link

https://brainly.com/question/23343679

#SPJ9

Coupon A: $25 rebate on $96 shoes coupon B; 40% off of $96 shoes

Answers

Answer: Coupon B is more profitable

I need help on this question?

Answers

By definition, [tex](f \circ g)(x)=\boxed{f(g(x))}[/tex]. So, if [tex]g(2)=6[/tex] and [tex]f(6)=17[/tex], then [tex](f \circ g)(2)=f(g(2))=f(6)=\boxed{17}[/tex].

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. simplify using order of operations. Show all of your work and one operation at a time to receive all possible points. 90 divided by [10 plus (3^2-4)]
Please help!

Answers

the equation you summited is

90÷10+3²-4

Answer:

the answer to the question is 14

Step-by-step explanation:

90÷10+3²-4

Follow the PEMDAS order of operations

3²=9

90÷10+9-4

Multiply and divide from left to right

90÷10=9

9+9-4

Add and subtract from left to right

9+9=18

18-4=14

So the answer to your question is 14

help video
What is the slope of the line that passes through the points (9, -10) and (14, 5)?
Write your answer in simplest form.

Answers

SLOPE

What is the slope of the line that passes through the points (9 , -10 ) and (14 , 5)? Write your answer in simplest form.

From inspection on the given problem:

[tex] \sf{(x_1, y_1) = (9, -10)}[/tex][tex] \sf{(x_2, y_2) = (14, 5)}[/tex]

To calculate the slope of the line passing through the given points, we must use the formula below:

[tex] \sf{m = \dfrac{y_2 - y_1}{x_2 - x_1}}[/tex]

Substitute the given values into the slope formula and solve for m:

[tex] \sf{m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{5 - (-10)}{14 - 9} = \dfrac{15}{5} = \pmb{3}}[/tex]

Therefore, the slope of the line that passes through the given points is 3.

For more information about the Slope, just visit this link: https://brainly.com/question/30918535

what is the distance of (-23, -14 ) and ( -18,2)

Answers

From the given question,

There are given that two point, (-23, -14) and (-18, 2).

Now,

For finding the distance between two point,

Here use distance formula.

From the distance formula,

[tex]d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Where,

[tex]x_1=-23,y_1=-14,x_2=-18,y_2=2[/tex]

Put the all values into the above formula,

Then,

[tex]\begin{gathered} d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ d=\sqrt[]{(-18_{}-(-23_{})^2+(2_{}-(-14)_{})^2} \\ d=\sqrt[]{(-18_{}+23_{})^2+(2_{}+14_{})^2} \end{gathered}[/tex]

Then,

[tex]\begin{gathered} d=\sqrt[]{(-18_{}+23_{})^2+(2_{}+14_{})^2} \\ d=\sqrt[]{(5_{})^2+(16_{})^2} \\ d=\sqrt[]{25+256} \\ d=\sqrt[]{281} \end{gathered}[/tex]

Hence, the distance of given

Are there more buildings that have 10-19 bricks or buildings that have 50-59 bricks ?

Answers

We can see from the graph that there are 10 buildings that have 10-19 bricks and 2 buildings that have 50-59 bricks. So there are more buildings with 10-19 bricks in the neighborhood.

Answer: 10-19 bricks

Other Questions
What are the steps for using a compass and straightedge to construct an equilateral triangle? drag the steps and drop them in order from start to finish. joeita sees on her activity tracker that it took her 58 minutes to run 6.25 hours miles assuming she runs at the same pace how far can she run in 40 minutes? round to the nearest hundredth how far can she run in m minutes What is the THIRD WORD of this text? (In my________ and more vulnerable years...)HINT: Y_____R A simple random sample of 5 months of sales data provided the following information:Month: 1 2 3 4 5 Units Sold: 97 110 89 97 92 a. Develop a point estimate of the population mean number of units sold per month.b. Develop a point estimate of the population standard deviation (to decimals). Why might the government have allowed the famine to worsen? evaluate the expression 2(|3.46|1.8)2 1/2+(2)^3. The LD50 for Allura Red ingested for rats and rabbits is 10,000 mg/kg ( 10,00,g of Allura Red consumed per kg of a rats's or rabbit's mass proves lethal for 50% of test subject). Assuming the LD50 would be about the same for humans, use the results of your experiment to calculate how many candies if consumed in quick succession by a 150-lb.person could potentially kill the person. the segment margin is obtained by deducting the blank fixed costs of a segment from the segment's blank . multiple choice question. traceable; revenues common; revenues common; contribution margin traceable; contribution margin what would be the most important factors to consider for the network channel design What is the value of x? 4x=5x-12 Enter your answer in the box.X= Find the unit rate. It took Timothy four days to finish 1/5 of his book. How much of the book did he read per day?Group of answer choices1/20 of the book4/5 of the book5/3 of the book3/4 of the book R is directly proportional to T. If R = 60 when T = 10, Calculate the value of T when R = 54 A carpenter is building a triangular frame. She has three pieces of wood measuring 5 feet, 6 feet, and 12 feet.The carpenterbuild the triangular frame with the three pieces of wood. She could cut thePiece by To create a triangular frame A baseball team won 16 of their first 20 games. If they win half of the rest of their games, how many moregames will they have to play in order to win 75% of the total number of games? Which of the following elements belong to the s-block of the periodic table? Random Questions 2What Does BCE And BC Means In History? In spite of the effects of the Little Ice Age, European soil retained its nutrients and continued to be very productive. True False In finding the solution of the equation: 5 - 3x = 2 + 9, 3x is added to both sides of the equation first. Which of the following should be done next?add -9add -5add -2x usBelow, the two-way table is given for aclass of students.FreshmenSophomoreJuniorsSeniorsTotalMale4622Female3463TotalIf a student is selected at random, find theprobability the student is a female given that it'sa junior. Round to the nearest whole percent.[?]% Using standard normal table if the area is 0.125 what would the probability be ?