A right rectangular prism has a length of 5 centimeters, a width of 8 centimeters, and a height of 4 centimeters. What is the volume of the prism? ​

Answers

Answer 1

Answer:

volume of prism is 160 cm


Related Questions

help me please ineed your help

Answers

I can’t see the problem

Find the direction in which the function is increasing most rapidly at the point Po.

f(x, y,z)= xy -lnz , Po (1,1,1)

Answers

The largest rate of change occurs in the same direction as the gradient of f at the point.

f(x, y, z) = (∂f/∂x, ∂f/∂y, ∂f/∂z) = (y, x, -1/z)

==>   ∇f (1, 1, 1) = (1, 1, -1)

In other words, f changes at the highest rate in the direction of the vector (1, 1, -1).

I don’t think I got the right answer?

Answers

Answer:

it's third option the one who says 10 units up

its the third answer 10units

Please help me with solving these. I’d really appreciate your help. Thank you very much.

Answers

Answer:

Problem 17)

[tex]\displaystyle y=-\frac{5}{2}x+\frac{7}{2}[/tex]

Problem 18)

[tex]\displaystyle y=\frac{3}{2}x-\frac{3}{2}+\frac{\pi}{4}[/tex]

Step-by-step explanation:

Problem 17)

We have the curve represented by the equation:

[tex]\displaystyle 4x^2+2xy+y^2=7[/tex]

And we want to find the equation of the tangent line to the point (1, 1).

First, let's find the derivative dy/dx. Take the derivative of both sides with respect to x:

[tex]\displaystyle \frac{d}{dx}\left[4x^2+2xy+y^2\right]=\frac{d}{dx}[7][/tex]

Simplify. Recall that the derivative of a constant is zero.

[tex]\displaystyle \frac{d}{dx}[4x^2]+\frac{d}{dx}[2xy]+\frac{d}{dx}[y^2]=0[/tex]

Differentiate. We can differentiate the first term normally. The second term will require the product rule. Hence:

[tex]\displaystyle 8x+\left(2y+2x\frac{dy}{dx}\right)+2y\frac{dy}{dx}=0[/tex]

Rewrite:

[tex]\displaystyle \frac{dy}{dx}\left(2x+2y\right)=-8x-2y[/tex]

Therefore:

[tex]\displaystyle \frac{dy}{dx}=\frac{-8x-2y}{2x+2y}=-\frac{4x+y}{x+y}[/tex]

So, the slope of the tangent line at the point (1, 1) is:

[tex]\displaystyle \frac{dy}{dx}\Big|_{(1, 1)}=-\frac{4(1)+(1)}{(1)+(1)}=-\frac{5}{2}[/tex]

And since we know that it passes through the point (1, 1), by the point-slope form:

[tex]\displaystyle y-1=-\frac{5}{2}(x-1)[/tex]

If desired, we can simplify this into slope-intercept form. Therefore, our equation is:

[tex]\displaystyle y=-\frac{5}{2}x+\frac{7}{2}[/tex]

Problem 18)

We have the equation:

[tex]\displaystyle y=\tan^{-1}\left(x^3\right)[/tex]

And we want to find the equation of the tangent line to the graph at the point (1, π/4).

Take the derivative of both sides with respect to x:

[tex]\displaystyle \frac{dy}{dx}=\frac{d}{dx}\left[\tan^{-1}(x^3)][/tex]

We can use the chain rule:

[tex]\displaystyle \frac{d}{dx}[u(v(x))]=u'(v(x))\cdot v(x)[/tex]

Let u(x) = tan⁻¹(x) and let v(x) = . Thus:

(Recall that d/dx [arctan(x)] = 1 / (1 + x²).)

[tex]\displaystyle \frac{d}{dx}\left[\tan^{-1}(x^3)\right]=\frac{1}{1+v^2(x)}\cdot 3x^2[/tex]

Substitute and simplify. Hence:

[tex]\displaystyle \frac{d}{dx}\left[\tan^{-1}(x^3)\right]=\frac{1}{1+v^2(x)}\cdot 3x^2=\frac{3x^2}{1+x^6}[/tex]

Then the slope of the tangent line at the point (1, π/4) is:

[tex]\displaystyle \frac{dy}{dx}\Big|_{x=1}=\frac{3(1)^2}{1+(1)^6}=\frac{3}{2}[/tex]

Then by the point-slope form:

[tex]\displaystyle y-\frac{\pi}{4}=\frac{3}{2}(x-1)[/tex]

Or in slope-intercept form:

[tex]\displaystyle y=\frac{3}{2}x-\frac{3}{2}+\frac{\pi}{4}[/tex]

3. L = 5 cm
W = 30 cm
H= 14
V=____ ​

Answers

Answer:

Step-by-step explanation: as the formula to find volume is L*W*H

so v=lwh

=   5*30*14

= 2100cm^3

Bond is 20 years older than Jude and 10 years older than John. If the sum of the ages of Bond,Jude and John is 90,how old is Bond?

Answers

Answer:

hey hi mate

Ur answer is

bond 40John 20Jude 30

Step-by-step explanation:

u have to think

hope u like it

plz mark it as brainliest

tiene 40 años de edad

bond 40

jude 20

joh 30

40+20+30 = 90

Examine the following expression.

p squared minus 3 + 3 p minus 8 + p + p cubed

Which statements about the expression are true? Check all that apply.
The constants, –3 and –8, are like terms.
The terms 3 p and p are like terms.
The terms in the expression are p squared, negative 3, 3 p, negative 8, p, p cubed.
The terms p squared, 3 p, p, and p cubed have variables, so they are like terms.
The expression contains six terms.
The terms p squared and p cubed are like terms.
Like terms have the same variables raised to the same powers.
The expression contains seven terms.

Answers

Answer:

the terms in the expression are p squared, negative 3,3p, negative 8,p,p cubed

Step-by-step explanation:

hope that helps

To teach computer programming to employees, many firms use on the job training. A human resources administrator wishes to review the performance of trainees on the final test of the training. The mean of the test scores is 72 with a standard deviation of 5. The distribution of test scores is approximately normal. Find the z-score for a trainee, given a score of 82.

Answers

Answer:

The z-score for the trainee is of 2.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The mean of the test scores is 72 with a standard deviation of 5.

This means that [tex]\mu = 72, \sigma = 5[/tex]

Find the z-score for a trainee, given a score of 82.

This is Z when X = 82. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{82 - 72}{5}[/tex]

[tex]Z = 2[/tex]

The z-score for the trainee is of 2.

Use the graph to find the y-intercept and axis of symmetry

Answers

Answer:

axis of symmetry=-2

y intercept=(0,-1)

Situation:
You invest $4,000 in an account that
pays an interest rate of 5.5%,
compounded continuously.
Calculate the balance of your account after 15
years. Round your answer to the nearest
hundredth.

Answers

Answer:

[tex]{ \bf{A=(P + \frac{r}{100} ) {}^{n} }} \\ { \tt{ = (4000 + \frac{5.5}{100} ) {}^{15} }} \\ \\ { \tt{ = \: 1.074 \times {10}^{54} \: dollars}}[/tex]

Forces of 9 lbs and 13 lbs act at a 38º angle to each other. Find the magnitude of the resultant force and the angle that the resultant makes with each force.

Answers

Answer: [tex]R=20.84\ lb\quad 22.57^{\circ},15.43^{\circ}[/tex]

Step-by-step explanation:

Given

Two forces of 9 and 13 lbs acts [tex]38^{\circ}[/tex] angle to each other

The resultant of the two forces is given by

[tex]\Rightarrow R=\sqrt{a^2+b^2+2ab\cos \theta}[/tex]

Insert the values

[tex]\Rightarrow R=\sqrt{9^2+13^2+2(9)(13)\cos 38^{\circ}}\\\Rightarrow R=\sqrt{81+169+184.394}\\\Rightarrow R=\sqrt{434.394}\\\Rightarrow R=20.84\ lb[/tex]

Resultant makes an angle of

[tex]\Rightarrow \alpha=\tan^{-1}\left( \dfrac{b\sin \theta}{a+b\cos \theta}\right)\\\\\text{Considering 9 lb force along the x-axis}\\\\\Rightarrow \alpha =\tan^{-1}\left( \dfrac{13\sin 38^{\circ}}{9+13\cos 38^{\circ}}\right)\\\\\Rightarrow \alpha =\tan^{-1}(\dfrac{8}{19.244})\\\\\Rightarrow \alpha=22.57^{\circ}[/tex]

So, the resultant makes an angle of [tex]22.57^{\circ}[/tex] with 9 lb force

Angle made with 13 lb force is [tex]38^{\circ}-22.57^{\circ}=15.43^{\circ}[/tex]

Answer:

Step-by-step explanation:

HELPPP PLEASEEE! I tried everything from adding to dividing, subtracting, multiplying but still no correct answer. Can someone help me out here please? I am not sure where to start either now. Thank you for your time.

Answers

36 jersey with green

Suppose the composition of the 107th Senate is 45 Republicans, 50 Democrats, and 5 Independents. A new committee is being formed to study ways to benefit the arts in education. If 3 senators are selected at random to head the committee, find the probability of the following:
Part 1. The group of 3 consists of all Republicans.
Part 2. The group of 3 consists of all Democrats.
Part 3. The group of 3 consists of 1 from each party, including the Independent.

Answers

Answer:

1 : 0.088

2 : 0.12

3 : 0.07

Step-by-step explanation:

45 Rebullicans

50 Democrats

5 independents

Total = 100

Selection =  3

Part 1:

(45 C 3) / (100 C 3) = 0.088

Part 2:

(50 C 3) / (100 C 3) = 0.12

Part 3:

(45 C 1) x (50 C 1) x (5 C 1) / (100  C 3) = 0.07

4 mangoes and Pears cost $24 while to Mangos in three pears cost $16. Write a pair of simulataneous equations in x and y to represent the information given. State clearly what x and y represent​

Answers

Answer:

x- cost of mango, y- cost of pear, 4x+4y=24 and 2x+3y=16

Step-by-step explanation:

For this, you first must assign variables. In this case, let's say x is the cost of a mango and y is the cost of a pear.

Therefore the total cost for the first part can be given by 4x+4y=24.(or 4 × the cost of a mango + 4 × the cost of a pear = $24).

Following this method, the second equation can be given by 2x+3y=16.

** building upon this knowledge (extension)**

To solve simultaneous equations, we need like terms. To make like terms, we can multiply the entire second equation by 2. This gives 2 equations of 4x+4y=24 and 4x+6y=32.

We solve this by subtracting one equation from another, giving (4x-4x)+(6y-4y)=(32-24), or 2y=8.

We can divide by 2 to get y=4, meaning a pear costs $4.

By substituting y with 4, we can work out x. 4x+4×4=24, also known as 4x+16=24.

We can subtract 16 to get 4x=8, and divide by 4, giving x=2, or a mango costs $2.

**This content involves writing simultaneous equations, which you may wish to revise. I'm always happy to help!

9.
For a normal distribution with mean 20 and standard deviation 5, approximately what percent of
the observations will be between 5 and 35?
A. 50%
B. 68%
C. 95%
D. 99.7%

Answers

Answer: D. 99.7%

Step-by-step explanation:

Scores that lies within the first deviation(1σ) =

(20 - 5) to (20 + 5) → 15 to 25

Scores that lies within the second deviation(2σ) =

(20 - 5 - 5) to (20 + 5 + 5) → 10 to 30

Scores that lies within the third deviation(3σ) =

(20 - 5 - 5 - 5) to (20 + 5 + 5 + 5) → 5 to 35

As shown by the distribution graph below, 99.73% of the scores lies within the third deviation(3σ).

An experimental drug is administered to 130 randomly selected individuals, with the number of individuals responding favorably recorded. Does the probability experiment represent a binomial experiment

Answers

Answer:

Yes, as for each trial there are only two possible outcomes, the trials are independent, and the number of trials is fixed.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they respond favorably, or they do not. The probability of a student responding favorably is independent of any other student, and the number of trials is fixed. Thus, this probability experiment represents a binomial experiment.

What is the value of x?

Answers

Answer:

22

Step-by-step explanation:

3x-14= 4(x-9)

3×-14= 4x-36

4x-36-3x+14=0

×-22÷0

x=22

Jordan rides a bike from Clovis to Millerton Lake. On the flatland Jordan travels at 36 mph for 1 hour, and in the mountains rides for 3 hours traveling at 20 miles per hour. Which of the following choices is the average speed for the trip?

Answers

Answer:

24 mph

Step-by-step explanation:

1 hour of 36 mph

3 hours of 20 mph

(36 + 20 + 20 + 20)/4

96/4

24

Answer:

24 mph

Step-by-step explanation:

36 miles = 1 hour

60 miles = 3 hours

36+60= 96

1+3+4

96/4= 24

Please help :)

Solve 3(m-4)=33

Thanks so much :)

Answers

Answer:

3(m-4)=33

3m-12=33

3m=45

m=15

Check:

3(15-4)=33

3(11)=33

33=33

Hope This Helps!!!

Answer:

m = 15

Step-by-step explanation:

3 ( m - 4 ) = 33

Solve for m

3 ( m - 4 ) = 33

Divide both side by 3

[tex]\small \sf \frac{3(m-4)}{3} = \frac{33}{3} \\ [/tex]

m - 4 = 11

Add 4 to both side

m - 4 + 4 = 11 + 4

m = 15

simple equation:
6m=12​

Answers

Step-by-step explanation:

Divide both sides of the equation by the same term

6m/6 =12/6

Cancel terms that are in both the numerator and denominatorDivide the numbers

m=2

Answer:

m=2

Step-by-step explanation:

Divide 6 on both sides

6m / 6 = 12/6

m= 12/6 = 2

So, m=2

Verification:

LHS = 6m   m=2

6 * 2 = 12

RHS = 12

Both the LHS and RHS are same, so our answer is correct

Write the sum of three odd consecutive integers if the last one is m-2

Answers

Answer:

the sum is 3m-12

Step-by-step explanation:

The nunbers are:

[tex]m-2\\m-4\\m-6\\the~sum~is:\\sum=(m-2)+(m-4)+(m-6)\\sum=m-2+m-4+m-6=m+m+m-2-4-6\\sum=3m-12[/tex]

The sum of three odd consecutive integers is 3m - 12

What are odd integers?

"These are the integers which are not divisible by 2."

For given question,

We need to find the sum of three consecutive odd integers.

Let x, x + 2, x + 4 be three consecutive odd integers.

We have been given the last one is m - 2

This means x + 4 = m - 2

So, the second odd integer would be,

x + 2 = m - 4

and the first odd integer would be,

x = m - 6

, we find the sum of the three odd consecutive integers.

⇒  (m - 6) + (m - 4) + (m - 2)

= m + m + m - 6 - 4 - 2

= 3m - (6 + 4 + 2)

= 3m - 12

Therefore, the sum of three odd consecutive integers is 3m - 12

Learn more about the odd integers here:

https://brainly.com/question/18365251

#SPJ2

calculate the value of X in the diagram​

Answers

Answer:

that is the answer

Step-by-step explanation:

use triangle RSQ

from pythogrus theorem

a² + b² = c²

4² + 5² = RQ²

16 + 25 = RQ²

41 = R

Question 5 Multiple Choice Worth 1 points)
(01.03 MC)
Bunny Hill Ski Resort charges $35 for ski rental and $10 an hour to ski. Black Diamond Ski Resort charges $40 for ski rental and $5 an hour to ski. Create an equation to determine at what point
the cost of both ski slopes is the same.

Answers

Answer:

Bunny Hill Ski Resort:

y = 10x + 35

Diamond Ski Resort:

y = 5x + 40

Point where the cost is the same:

(1, 45)

Step-by-step explanation:

The question tells us that:

$35 and $40 are initial fees

$10 and $5 are hourly fees

This means that x and y will equal:

x = number of hours

y = total cost of ski rental after a number of hours

So we can form these 2 equations:

y = 10x + 35

y = 5x + 40

Now we are going to use System of Equations to find what point the cost of both ski slopes is the same.

Because they both equal y, we can set the equations equal to each other:

10x + 35 = 5x + 40

And we use basic algebra to solve for x:

10x + 35 = 5x + 40

(subtract 5x from both sides)

5x + 35 = 40

(subtract 35 from both sides)

5x = 5

(divide both sides by 5)

x = 1

Remember, x equals the number of hours.

That means when your rent out the skis for 1 hour, you will get the same price of $45 (you find the price by plugging in 1 into both of the equations)

Hope it helps (●'◡'●)

An urn contains 2 small pink balls, 7 small purple balls, and 6 small white balls.
Three balls are selected, one after the other, without replacement.
Find the probability that all three balls are purple
Express your answer as a decimal, rounded to the nearest hundredth.

Answers

Answer:

The probability is P = 0.08

Step-by-step explanation:

We have:

2 pink balls

7 purple balls

6 white balls

So the total number of balls is just:

2 + 7 + 6 = 15

We want to find the probability of randomly picking 3 purple balls (without replacement).

For the first pick:

Here all the balls have the same probability of being drawn from the urn, so the probability of getting a purple one is equal to the quotient between the number of purple balls (7) and the total number of balls (15)

p₁ = 7/15

Second:

Same as before, notice that because the balls are not replaced, now there are 6 purple balls in the urn, and a total of 14 balls, so in this case the probability is:

p₂ = 6/14

third:

Same as before, this time there are 5 purple balls in the urn and 13 balls in total, so here the probability is:

p₃ = 5/13

The joint probability (the probability of these 3 events happening) is equal to the product between the individual probabilities, so we have:

P = p₁*p₂*p₃ = (7/15)*(6/14)*(5/13)  = 0.08

HELP! AAHHHHH SOMEBODY HELP!

If each square of the grid below is $0.5\text{ cm}$ by $0.5\text{ cm}$, how many square centimeters are in the area of the blue figure?

Answers

Answer:

8.50 cm²

Step-by-step explanation:

The dimension of each square is given as 0.5cm by 0.5cm

The area of the a square is, a²

Where, a = side length

Area of each square = 0.5² = 0.25cm

The number of blue colored squares = 34

The total area of the blue colored squares is :

34 * 0.25 = 8.50cm²

Can someone help me with me? Thanks!

Answers

Answer:

(0.38, 4.79)

Step-by-step explanation:

Write the equation of the line with the given conditions. passing through (-1, -7) and perpendicular to the line with equation 4x + 5y = 31

Answers

Answer:

y = 5/4 x - 23/4

Step-by-step explanation:

4x + 5y = 31

5y = - 4x +31

y = -4/5 x + 31/5

⊥ slope = 5/4

-7 = 5/4 (-1) + B

-28 = -5 + 4b

-23 = 4B

b = -23/4


x °
68°
26 °
Find the measure of x (Hint: The sum of the measures
of the angles in a triangle is 180°

Answers:

6 °
86 °
90 °
180 °

Answers

Answer:

86°

Step-by-step explanation:

180° is the sum of all angles in a triangle

The two angles given are 68° and 26°

The equation is : 180° - 68° - 26° = x°

180° - 68° - 26° = 86°

x° = 86°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

solve this fast please… and thank you so much :)

Answers

Answer:

hi

Step-by-step explanation:

The answer is the second one !

The total number of labor hours for a construction project by week x is given by: Week 1 4 7 10 13 16 19 Total hours 25 158 1254 5633 9280 10,010 10,100 Look at its scatter plot, an appropriate model for this data is:

Answers

Answer:

Logistic model

Step-by-step explanation:

A scatter plot is a mathematical representation or diagram which is used to shoe the relation between two given variables. It uses the Cartesian coordinates which is used to display the values for a typically two variables for the given set of data.

In the context, a scatter plot is made between two variables. The two variables are the total number of hours and the number of weeks.

From the graph shown, we can say that model is a logistic model as the shape of the graph is S shaped.

Therefore, the appropriate model for the data given is logistic model.

Other Questions
company reports the following beginning inventory and two purchases for the month of January. On January 26, the company sells 350 units. Ending inventory at January 31 totals 150 units. Units Unit Cost Beginning inventory on January 1 320 $ 3.00 Purchase on January 9 80 3.20 Purchase on January 25 100 3.34 Required: Assume the periodic inventory system is used. Determine the costs assigned to ending inventory when costs are assigned based on the weighted average method. (Round per unit costs to 2 decimal places. Amounts to be deducted should be indicated with a minus sign.) NEED THIS ASAP I AM TIMED WILL MARK BRAINLIST 10 POINTSRead the passage from Sugar Changed the World.Sugar is different from honey. It offers a stronger sweet flavor, and like steel or plastic, it had to be invented. In the Age of Sugar, Europeans bought a product made thousands of miles away that was less expensive than the honey from down the road. That was possible only because sugar set people in motion all across the worldmillions of them as slaves, in chains; a few in search of their fortunes. A perfect taste made possible by the most brutal labor: That is the dark story of sugar.How do the details in this passage support the authors purpose?A. The comparison of honey to sugar production helps persuade readers that honey is better than sugar.B. The details about sugars dependency on slavery help inform readers about why sugar was inexpensive.C. The details about the sugars strong flavor entertain the reader with stories of how people invented sugar.D. The comparison of the invention of sugar to steel helps persuade readers that sugar is easier to make than steel. A student takes an exam containing 16 true or false questions. If the student guesses, what is the probability that he will get exactly 14 questions right find the least common denominator for these fraction 4/8 and 1/4 Janie can stuff 30 envelops in one minute. Find an expression for the number of envelopes she can stuff in n hours? Why is lowering the interest rate on reserves considered an expansionary monetary policy? A. It encourages banks to lend money instead of keeping it in reserve. B. It pressures investors to spend more money on treasury securities. C. It prevents investors from withdrawing too much money from banks. D. It causes banks to increase their prime interest rate in response. provide three critical evaluations of your own contribution to environmental health and safety in your community Can someone help me with this math homework please! alguien que me ayude porfavor !!!!! What impact does mixed migration have on migrants? help please (ignore my answer i just put whatever) Is the function g(x)= 5x+4 linear or nonlinear a body and spirit, he repeated, the body lady is like ahouse En qu consiste eso prejuicios por el color de pies o textura de cabello the least value of x-3x+5 is.. Your dashboard should show the sum and average as two separate columns. If you use measure names as the column field, what should you use for the marks TAKE 50 POINTS!!!!! Please help.Writing about two pages any topic that you want, such as story, project, event, idea, .etc.please Do not copy and paste from the Internet. Explain the difference in the following two limits: Be nice to everyone and Keep your hands to yourself during circle time. Phng php cng ty Samsung xc nh gi, phn tch u/ nhc im:help me The March 1 inventory of finished units at the Kay Company is 5,000. During March the company plans to sell 40,000 units and desires a March 31 inventory of 10,000 units. The number of units that the company should plan on producing in March is: A. 60,000 units B. 50,000 units C. 45,000 units D. 40,000 units E. 35,000 units