Answer:
The answer is 2/3 or 0.67 square foot.
Step-by-step explanation:
Given;Length (l) = 1/3 ftTo Find;Surface area of cubeFormula;Area = 6l²Now,
A = 6l²
A = 6 × (1/3)² ft
A = 6 × 1/9 ft
A = 6/9 ft
A = 2/3 square foot
Thus, The surface area of cube is 2/3 or 0.67 square foot.
Given the points (-10, -3) and (4,8) find the slope.
Answer: [tex]\frac{11}{14}[/tex]
Step-by-step explanation:
1) Identify Format
(x1,y1) = (−10,−3)
(x2,y2) = (4,8)
2) Use the Slope Formula
m=y2−y1x2−x1
=8−−3/4−−10
=11/14
=11/14
Bonus: Graph
Answer provided by Education Point
3. Monthly sales figures for January are 5600. This is expected to fall for the following 9 months at a rate of 2% each month. Thereafter sales are predicted to rise at a constant rate of 4% each month. Estimate total sales for the next two years (including the first January).
For a monthly sales figures at 5600 and expected to fall for the following 9 months at a rate of 2% each month, the total sales for the next two years is mathematically given as
A=11968.04
What are total sales for the next two years (including the first January).?Generally, the total sales is mathematically given as
A=5600(1-2/100)^9(1+4/100)^24
A=5600(.98)^9(1.04)^24
A=11968.04
In conclusion, total sales for the next two years
A=11968.04
Read more about Arithmetic
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The area enclosed by the graphs of y = 1/x, y = 1, and x = 3 is rotated about the line y = -1. Find the volume and show steps.
Answer:
[tex]A=\pi\displaystyle\biggr[\frac{16}{3}-2\ln(|3|)\biggr]\approx9.8524[/tex]
Step-by-step explanation:
Use the Washer Method [tex]A=\pi\displaystyle \int\limits_{a}^{b}{\bigr[R(x)^2-r(x)^2\bigr] \, dx[/tex] where [tex]R(x)[/tex] is the outer radius and [tex]r(x)[/tex] is the inner radius.
If we sketch out the graph, we see that [tex]y=1[/tex] intersects points [tex](1,1)[/tex] and [tex](3,1)[/tex], which will be our bounds of integration.
Here, our outer radius will be [tex]R(x)=(-1-1)=-2[/tex] and our inner radius will be [tex]r(x)=-1-\frac{1}{x}[/tex].
Thus, we can compute the integral and find the volume:
[tex]A=\pi\displaystyle\int\limits^{3}_{1} {(-2)^2-\biggr(-1-\frac{1}{x}\biggr)^2 } \, dx\\ \\A=\pi\displaystyle\int\limits^{3}_{1} {4-\biggr(1+\frac{2}{x}+\frac{1}{x^2} \biggr) } \, dx\\\\A=\pi\displaystyle\int\limits^{3}_{1} {4-1-\frac{2}{x}-\frac{1}{x^2}} \, dx\\\\A=\pi\displaystyle\int\limits^{3}_{1} {3-\frac{2}{x}-\frac{1}{x^2}} \, dx\\\\A=\pi\displaystyle\biggr[3x-2\ln(|x|)+\frac{1}{x}\biggr]\Biggr|_{1}^{3}\\[/tex]
[tex]A=\pi\displaystyle\biggr[\biggr(3(3)-2\ln(|3|)+\frac{1}{3}\biggr)-\biggr(3(1)-2\ln(|1|)+\frac{1}{1}\biggr)\biggr]\\\\A=\pi\displaystyle\biggr[\biggr(9-2\ln(|3|)+\frac{1}{3}\biggr)-\biggr(3+1\biggr)\biggr]\\\\A=\pi\displaystyle\biggr[\biggr(\frac{28}{3}-2\ln(|3|)\biggr)-\biggr(4\biggr)\biggr]\\A=\pi\displaystyle\biggr[\frac{16}{3}-2\ln(|3|)\biggr]\\A\approx9.8524[/tex]
In conclusion, the volume of the solid of revolution will be about 9.8524 cubic units. See the attached graph for a helpful visual!
two-digit natural numbers are formed, with replacement, from 0 through 9. how many two-digit odd numbers are possible?
Let's solve this step by step:
The first digit has 9 choices --> 1 through 9The second digit has 10 choices --> 0 through 9*the first digit cannot have '0' as its first digit since it would make the
number one-digit
Total Choice: 9 choices * 10 choices = 90 choices
Hope that helps!
There are 10 questions on a true-false test. A student feels unprepared for this test and randomly guesses the answer for each of these. (a) What is the probability that the student gets exactly 7 correct? (b) What is the probability that the student gets exactly 8 correct? (c) What is the probability that the student gets exactly 9 correct? (d) What is the probability that the student gets exactly 10 correct? (e) What is the probability that the student gets more than 6 correct?
Answer:
Probability getting 7 correct :- 1/10Probability getting 8 correct :- 1/10 Probability getting 9 correct :- 1/10Probability getting 10 correct :- 1/10 → Probability getting more than 6 :- 4/10Chris completes a word search in 3 minutes. Oliver takes
20 seconds longer. How long did Oliver take?
seconds
Answer: 200 seconds
Okay - so then Oliver would take 3 minutes and 20 seconds. There are 60 seconds in a minute so it would be 30 times 60 = 180 + 20 = 200
The population of birds on an island is estimated to increase by 10% every year.The population of birds on the island is 20000.
Calculate an estimate for the population of birds in three years time.
Pls give working out & Explanation
And also can anyone tell me how to answer someone question in Brainly. I am new here
Answer:
26,620
Step-by-step explanation:
1 year: 20,000 x 0.10 = 2000
2 years: 22,000 x 0.10 = 2200
3 years: 24200 x 0.10 = 2420
2420 + 24200 = 26620
Have an amazing day!!
Please rate and mark brainliest!!!!
Theres a button on the question taht you are wanting to answer. Sometimes it will allow one other times it is 2
Find the vertex of this parabola:
y = -x2 - 4x - 2
[tex]===============================[/tex]
In order to find the vertex of a parabola, we use the following formula:
[tex]\bold{\displaystyle\frac{-b}{2a} }}[/tex]
Remember, a parabola looks like so:
[tex]\tt{y=ax^2+bx+c}[/tex]
Now we know what a and b stand for.
In this case, b is -4, and a is -1:
[tex]\hookrightarrow\sf{\displaystyle\frac{-(-4)}{2(-1)}[/tex]
Simplify:
[tex]\hookrightarrow\sf{\displaystyle\frac{4}{-2} }}[/tex]
Divide:
[tex]\hookrightarrow\sf{-2}[/tex]
[tex]===================================[/tex]
Notes:Hope everything is clear.Let me know if you have any questions!Enjoy your day!Always remember: Knowledge is power!Answered by:[tex]\mathbb{DiAmOnD}\\{\boxed{An~Emotional~And~Creative~Helper}}}}[/tex]
Help picture below problem 16
Answer:
40
Step-by-step explanation:
A straight angle is basically just a straight line, and it equals 180 degrees. Angle FPG is a straight angle.
To find the measure of angle DPE, we have to add together the other angles in the straight angle (which would be Angle FPD and Angle EPG) and then subtract that from 180 (measure of a straight angle).
Let's add Angle FPD and Angle EPG.
105 + 35 = 140
Now, let's subtract that from 180.
180 - 140 = 40
So, the measure of Angle DPE is 40. I hope this helps! Have a lovely day! (i basically just copy-and-pasted my answer to problem 17 because it was the same answer as this lol)
MARK AS BRAINLIEST PLS HELP
Below is the table of values of a function. Write the output when the input is n.
input
1
2
8
n
output
5
6
12
?
The outputs are addition of 4 to their inputs therefore,if the input is n then the output will also be an addition of 4 hence n+4
Would like to know how to do this problem.
well it would be very helpful thank you
Pls help im in a hurry
So im in 7th grade and im doing a practice test and you know my brain doesn't work so i need answers.
I have 10 mins to take it
Pls help
Answer:
x = -3.5
y = 1.5
so W = (-3.5, 1.5)
Step-by-step explanation:
solve the equation: 4 x 2 + 8 = - 7
X=
Answer:
Hope the picture will help
[tex]\frac{16}{7}[/tex]Answer:
X = -16/7
Step-by-step explanation:
Multiply the numbers
4 x 2 + 8 = -7x
8 + 8 = -7x
Add the numbers
8 + 8 = -7x
16= -7x
Divide both sides by the same factor
16= -7x
16 divided bu -7x and -7x divided by -7x
Simplify
-16 divided by 7 not negative 7 and -7 divided by -7
Cancel terms that are in both the numerator and denominator
cancel out -7 divided by -7 and you get -16/7 left
so, therefore x= -16/7
Out of 20 friends, 4/5 are going to the party. How many friends are going to the party?
Answer:
16.
Step-by-step explanation:
Multiply 20 and 4/5 to get the result of who is going.
20 * (4/5)
(20*4)/5
80/5
16
16 friends will be going to the party.
Answer:
16 friends
Step-by-step explanation:
Out of 20 friends, 4/5 are going to the party. How many friends are going to the party?
4/5 * 20 or 20 * 4/5
[tex]\frac{4}{5}*20\\\\ \frac{4}{5} *\frac{20}{1} < ==reduce\\\\\frac{4}{1}* \frac{4}{1}\\\\\frac{16}{1} \\\\16[/tex]
Therefore, 16 friends are going to the party.
Hope this helps!
Find the equation for the circle with center (-2,4) and passing through (-1,- 4).
Answer:
(x+2)^2 + (y-4)^2 = 65
Step-by-step explanation:
r^2 = (4-(-4))^2 + (-1-(-2))^2 = 65
center = (-2, 4) so you add 2 to x and subtract 4 from y
please help me solving this question please i want all solve please help
In circle D with m∠CDE = 118 m∠CDE=118 and CD=4 units, find the length of arc CE. Round to the nearest hundredth.
Answer:
CE ≈ 8.24 units
Step-by-step explanation:
The circumference of a circle is given by the formula ...
C = 2πr
Your circle has a radius CD of 4 units, so its circumference is ...
C = 2π(4 units) = 8π units
__
The arc of interest is 118°. The whole circle is 360°, so the length of the arc is 118/360 times the circumference of the circle:
CE = (118/360)(8π units) ≈ 8.24 units
QUICK PLEASE Josiah kept track of how many songs of each genre were played in an hour from his MP3 player. The counts are displayed in the table below. He has a total of 1,500 songs on his player. Josiah predicted the number of rock songs on his MP3 player to be 300 songs. Which statements about his solution are true? Select three choices.
Josiah’s Music
Sample 1
Sample 2
R & B
5
R & B
4
Pop
4
Pop
3
Classical
3
Classical
5
Jazz
2
Jazz
4
Rock
6
Rock
4
Josiah’s work:
StartFraction 10 over 20 EndFraction = StartFraction x over 1,500 EndFraction. StartFraction 10 times 30 over 20 times 30 EndFraction = StartFraction x over 1,500 EndFraction. 300 = x.
Answer:
Sample 1
Step-by-step explanation:
i need someone whos really good at geometry to help with my finals pleaseeeeee
Answer:
8 in
Step-by-step explanation:
A 45-45-90 triangle is a special triangle with side length ratio 1 : 1 : √2
The legs are equal in length.
The length of the hypotenuse is √2 times the length of a leg.
Therefore, if the hypotenuse of a 45-45-90 triangle is 8√2 inches, the leg lengths are 8 inches each in length.
PLEASE HELP
The graph below shows a company's profit f(x), in dollars, depending on the price of pens x, in dollars, sold by the company:
Graph of quadratic function f of x having x intercepts at ordered pairs 0, 0 and 6, 0. The vertex is at 3, 120.
Part A: What do the x-intercepts and maximum value of the graph represent?What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit?
Part B: What is an approximate average rate of change of the graph from x = 3 to x = 5, and what does this rate represent?
Part C: Describe the constraints of the domain.
Answer:
See below ↓
Step-by-step explanation:
Part A
The x-intercepts represents when the profit of the company is 0 dollars. It means they are making no profit when selling the pens at that pricePart B
y-value when x = 3 ⇒ 120y -value when x = 5 ⇒ 60rate of change = Δy/Δx = -60/2 = -30This rate represents the depreciating profit of the company when increasing the price of a pen from $3 to $5Part C
Domain of the graph is only true for positive values of yDomain ⇒ 0 ≤ x ≤ 6Answer:
Part A
The x-intercepts are when f(x) = 0.
Since x represents the price of pens, and f(x) represents the company's profit, the x-intercepts give the price of the pens when the profit is zero.
⇒ the profit is zero when the price of pens are $0 and $6
The maximum value of the graph (vertex) represents the cost of pens when the profit is at its highest. Therefore, the optimal amount to price the pens to get the maximum profit.
⇒ maximum profit of $120 occurs when the pens are priced at $3
Part B
[tex]\sf average \ rate \ of \ change=\dfrac{change \ in \ y}{change \ in \ x}[/tex]
From inspection of the graph, f(3) = 120 and f(5) ≈ 60
[tex]\sf \implies average \ rate \ of \ change=\dfrac{60-120}{5-3}=-30[/tex]
This means that as the price of the pens increases by $1 (between $3 and $5), the average profit decreases by approximately $30.
Part C
The domain is the set of input values (x-values). As the price of a pen cannot be less than zero, the domain will be x ≥ 0
Unless the company is happy to make a loss, the restricted domain should be 0 ≤ x ≤ 6
what number is between 1.3 and 1.45
Step-by-step explanation:
1.3+1.45/2
= 1.75/2
=0.875
Write an inequality for the graph shown below.
User for your variable.
X
o
?
Answer:
3 > x
Step-by-step explanation:
3 is larger than all of the values on the line, of which the arrow is pointing. The circle is open, so it means that it is not greater than or equal to.
I hope this helps!
-No one
Given sin(x + e^x) = y, find dy/dx. ==
Answer:
Step-by-step explanation:
[tex]\frac{dy}{dx}=\frac{dy}{du}\frac{du}{dx}[/tex]
where [tex]u = x + e^{x}[/tex]
So we can obtain: [tex]\frac{dy}{dx}=(1+e^{x})\cos(u)=(1+e^{x})\cos(x+e^{x})[/tex]
12 ounces for
$
8.09
dollars per ounce
ounces per dollar.
Use the following table to find the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in
on-campus housing. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Students on the Student Government Board
Classification
On-Campus Housing Off-Campus Housing
Freshman
1
4
Sophomore
2
0
Junior
1
2
Senior
2
0
Graduate Student
2
3
Prey
Next
Copy Data
Answer How to enter your answer opens in new window) 2 Points
Keypad
Keyboard Shortcuts
56°F
Using it's concept, it is found that there is a [tex]\frac{11}{17}[/tex] probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, a total of 1 + 4 + 2 + 0 + 1 + 2 + 2 + 0 + 2 + 3 = 17 students were sampled.
Of those, 1 + 2 + 1 + 2 + 2 = 8 live in on campus housing, and 3 live off campus but are graduate students, hence there are 11 desired outcomes and the probability is given by:
[tex]\frac{11}{17}[/tex]
More can be learned about probabilities at https://brainly.com/question/14398287
Help me please anybody. And I am in my school iPad
Answer:
(0,5)
Step-by-step explanation:
I'm really not sure but I'm pretty positive that this is the answer if not than my bad
If you could help me out I would appirecate it. The question is 4 (3x + x)
12x. And when ever you see the x you put 6
no. correct answer: 16(x)
using BODMAS rule:
4(3x+x)4(4x)16xAnswer:
no they are not, explanation down.
Step-by-step explanation:
4(3x + x)
4(3×6 + 6)
4(18 + 6)
4(24)
96
12x
12×6
72
hope dis helps!!!!!
Solve for X and Y 1. y = 2x
6x + 3y = 12
2. y = -4x + 2
y = 6x - 8
3. y = x - 4
-4x - 6y = -16
4. x = 3y + 1
2x + 4y = 12
Answer:
Step-by-step explanation:
1. If y =2x
solve for y in (6x +3y) = 12
6x + 3(2x) = 12, 6x + 6x =12
12x = 12 , x= 1
to find y , from y =2x
y = 2(1) , ( x = 1 and y = 2)
2. y = -4x + 2
y = 6x -8
y = (-4x + 2)(6x-8)
= -4x ( 6x -8) + 2(6x-8)
-24[tex]x^{2}[/tex] + 32x + 2(6x-8)
-24x2 + 44x - 16
3. y = x -4
-4x -6y = -16
-4x - 6(x - 4) = -16
-4x - 6x - 24 = -16
-10x - 24 = -16
-10x = -16 + 24, -10x = -8
x = 0.8 , to get y , we input x value into eqn(y = x-4)
y = 0.8 -4, y = -3.2
x = 0.8, y = -3.2.
4. x = 3y + 1
2x + 4y =12
2(3y + 1) + 4y = 12
6y + 2 + 4y = 12
10y + 2 = 12
10y = 12 -2
10y = 10
y = 1, to get x
x = 3y + 1
x = 3(1) + 1 , x = 4
( x = 4 and y = 1).
Find the volume of a box that has a length of 8.9 cm, a
width of 4 cm, and a height of 10.6 cm.
Answer: 377.36cm^2
Step-by-step explanation:
1. find proper equation. to find the volume of any three dimensional cube or box, use: length * width * height
2. plug in given numbers into the equation: 8.9cm * 4cm * 10.6* which gives us our answer, 377.36cm^2
hoped this helped! ♡
How much of a radioactive kind of promethium will be left after 20 days if you start with
9,056 grams and the half-life is 5 days?
in 20 days 4 half life will be completed
so n = 4
formula :-
[tex] \frac{ A\degree}{ {2}^{n} } = \frac{9056}{ {2}^{4} } = \frac{9056}{16} = 566grams[/tex]
The radioactive kind of promethium will have 566 grams left after 20 days.
What is half-life?Half-life is the time required for a quantity to reduce to half of its initial value.
Given, A radioactive kind of promethium with 9,056 grams and a half-life is 5 days.
∴ In the next 5 days, it'll have (9056/2) = 4528 grams.
Next 5 days it'll have (4528/2) = 2269 grams.
As it has a half-life in 5 days and 20 is multiple (4×5).
After 20 days the radioactive material will have (9056/2⁴) grams.
= 566 grams left.
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