Answers
Answer:
A = 12√3
Step-by-step explanation:
first find the limits by finding the zeros
0 = 9 − 3x²
3x² = 9
x² = 3
x = ±[tex]\sqrt{3}[/tex]
[tex]A = \int\limits^a_b ({9 - 3x^2\\}) - 0\, dx[/tex]
where b = [tex]-\sqrt{3}[/tex] and a = [tex]\sqrt{3\\}[/tex]
A = 9x - x³ [tex]\left \{ {{\sqrt{3} } \atop {-\sqrt{3} }} \right.[/tex]
[tex]A = 9\sqrt{3} - \sqrt{3} ^3 - (9(-\sqrt{3)} - (-\sqrt{3} )^3)[/tex]
[tex]A = 9\sqrt{3} -3\sqrt{3} +9\sqrt{3} - 3\sqrt{3}[/tex]
[tex]A = 12\sqrt{3}[/tex]
Related Questions
Through what angle does the minute hand of a clock turn in 45 minutes?
Answers
Answer:
2700Step-by-step explanation:
A clock is a circle, and a circle always contains 360 degrees. Since there are 60 minutes on a clock, each minute mark is 6 degrees.
so
45 * 6 =
2700
Choose the symbol that correctly compares the fractions below.
Answers
Answer:
[tex] \frac{2}{5} > \frac{1}{6} [/tex]
Answer: B. >
#CarryOnLearning
Justin is making cookies, using a recipe in which the ratio
of flour to chocolate chips to sugar is 4: 2: 1 for each
batch.
a. If he is using 8 cups of flour how many cups of sugar
does he need?
b. To make 3 batches of cookies, what is the ratio of flour
to chocolate chips to sugar?
Answers
Answer:
Part A - he will need 2 cups of sugar
Part B - 12 : 6 : 3
Step-by-step explanation:
Part A :
8 divided by 4 is 2
Part B :
Multiply all the numbers by 3
Hope this helped! :)
Michael drove 638 miles in 11 hours.
At the same rate, how many miles would he drive in 8 hours?
Answers
she will drive 754 miles in 13 hrs.
Isaac bought 7 chicken wings for $12.60. How much does each wing cost?
Answers
Answer:
Each chicken wing costs $1.80.
Explanation:
To find the cost for each wings, you need to split the money by 7 which is: 12.60/ 7
this gives us:
1.80
write 321.51 to the nearest whole
Answers
Answer:
322.
Hope that helped. x
Step-by-step explanation:
We have 321.51,
So what we need to do is check the number straight after the decimal point and see if it is less than 5 or 5 and above. (5 and above mean increasing the number, less than 5 means decreasing the number.)
Since the number is 5 we change the 1 to a 2. So the answer is 322.
f(x)=5x+4, g(x) square root of x find the domain of gof
Answers
If you do not include the imaginary plane, the square root can only take in values bigger than or equal to zero. So we just need to fix when 5x+4=0. That is when x=-4/5. So, the domain is [-4/5,inf)
Determine the probability of the event.
A survey found that about 90% of the junior class is right handed. If 2 juniors are chosen at random out of
100 juniors, what is the probability that at least one of them is not right handed?
Give an exact answer as a decimal.
Answers
Answer:
The probability is 1/100
Step-by-step explanation:
This is because there are only ten left-handed juniors (on average). Therefore there isn't a great chance that you would end up with one.
PLLLZZZ NO ONE WILL HELP ME!!!
Given this equation in slope-intercept form…
y = 2x + 5
Identify or solve for the following:
Slope
y-intercept
x-intercept
Independent variable
Dependent variable
Domain
Range
We would like to represent a line passing through the point (5,0) with a slope of 2. Please write the equation for this line in slope-intercept form and in point-slope form.
What is the rate of change of the function above?
Answers
Answer:
y = m x + b standard form of straight line
y = 2 x + 5
The slope is m and = 2
the y intercept is 5 because when x = o y = 5
if y = 0 then x = -2/5 and would be the x intercept
x is the independent variable and y is the dependent variable
I am not familiar with your definitions for domain and range but
both x and y can vary from -∝ to = ∝
50 POINTS
What is the slope-intercept form of the linear equation 2x + 3y = 6? Drag and drop the appropriate number, symbol, or variable to each box.
Answers
3y = -2x + 6
Dividing through by 3 gives us
y = -2x/3 + 2
To check out a customer, a grocery store cashier needs 2 seconds to scan each item being purchased, as well as 30 seconds to process payment. If it takes 44 seconds to ring up a particular customer, how many items is the customer purchasing?
Answers
Answer:
7
Step-by-step explanation:
Let's say the customer has x items. For each item, we add 2 seconds. For 3 items, we need 2 + 2 + 2 = 2*3 seconds. For x items, we need 2 * x seconds. Then, we add the processing payment time of 30 seconds, so for x items, the total amount of time = 30 + 2 * x
Here, the total amount of time is 44, so we have
44 = 30 + 2x
subtract 30 from both sides to isolate the variable and its coefficient
14 = 2x
divide both sides by 2 to isolate x
x = 7
#10) Mrs. Sommer states that angle I is 65 degrees. Is she correct? why or why not
Answers
Answer: Mrs. Somner is correct.
Step-by-step explanation: In a triangle, the angles add up to 180 degrees. Since we know that Triangle ABC is equal to Triangle RST, we can assume that their angle values are equal as well. Angle A is 41 degrees, and Angle B is 74 degrees. This adds up to 115 degrees. If we subtract 115 from 180, we get 65. Therefore, Mrs. Somner is correct.
After eating 75% of the chocolates in a box, Dev found 6 chocolates remaining. How many chocolates were there in the box originally?
Answers
Answer:
24
Step-by-step explanation:
Let total number of the chocolates be x.
25% of x = 6 (because 100 - 75 = 25% of chocolates left).
25/100 x x = 6
x = 600/25
x = 24
Hence, 24 is the total amount of chocolates.
Hope it helps :)
Help me please I would really apparated it thanks.
Answers
Solve 3-x/2<18.
A. X>-42
B. x > -30
C. X< -30
D. X<42
Answers
The solution of the given equation will be C -x< 30
What does it mean to solve an equation?An equation represents the equality of two or more mathematical expressions.
A Solutions to an equation are those values of the variables, involved in that equation for which the equation is true.
We have been given the equation as 3-x/2<18.
Now solving for x
3-x/2<18.
Eliminate 3
-x/2 < 18 - 3
-x/2 < 15
Multiply by 2 on both sides;
-x/2 < 15 (2)
-x< 30
Therefore, the solution of the given equation will be C -x< 30
Learn more about solving equations here:
https://brainly.com/question/18015090
#SPJ1
What is Jada‘s vertical jump
Answers
It's probably 52 or 40.
The table shows a linear relationship between x and y. how can you tell that x and y are NOT porportianal
Answers
The price of gas on Wednesday was $2.03/gallon. On Friday, the price of gas was $2.26. What is the percent change in the price of gas?
Answers
Answer:
Percent change in the price of gas is [tex]9.85\%[/tex]
Step-by-step explanation:
Percentage change equals the change in value divided by the absolute value of the original value, multiplied by [tex]100[/tex] .
[tex]\text { Percentage Change }=\frac{\Delta V}{\left|V_{1}\right|} \times 100[/tex]
Here
[tex]\Delta V=2.26-2.03\\\\=0.23\$/gallon[/tex]
[tex]V_{1}=2.03\$/gallon[/tex]
The percent change in the price of gas
[tex]=\frac{0.23}{2.03} \times100\\\\=9.85\%[/tex]
Percent change in the price of gas is [tex]9.85\%[/tex]
Please help me understand
Answers
Step-by-step explanation:
A=2(wl+hl+hw)=2x(14x7+7x7+7x14)=490
Option B is the correct answer
Joshua cashed a check for $16.79he asked the teller to give him as many quarters as possible .how many quarters did he get
Answers
Answer:
67 quarters
Explanation:
Given that
P
=
x
+
y
.
Find
P
when:
x
=
3
and
y
=
−
11
Answers
Answer:
-8
Step-by-step explanation:
3-11=-8
Answer:
8
Step-by-step explanation:
3. Chris rode his bike along the same route every day for 60 days. He logged that he had gone exactly 127.8 miles.How many miles did he bike over the course of two weeks
Answers
Step-by-step explanation:
2wks = 24 days
If he spent 60days going 127.8 miles
He will spend 14 days going X miles
60/14 =127.8/X cross multiply
60X= 14×127.8
X=( 14×127.8)÷60
X= 29.82 miles
Hello can anyone help me with these problems please and ty
Answers
12. x= 4
13. x= 4
14. x= -1
Check the steps in the picture above
A student concludes that the solution to the equation ( 2×+1+3=0 is×=4
Answers
Answer:
x = -2
Step-by-step explanation:
2x + 1 + 3 = 0
2x + 4 = 0
x = -2
Adelle starts a savings account with $250. If the interest rate is 3%, find the total amount in the account after 2 years.
Answers
Answer:
265
Step-by-step explanation:
Directions: Compare the sides and angles by filling in the blank with a < or > symbol.
Answers
The correct comparison as shown in the figures are:
QR < QSAB > CDm<FJG > m<HJGm<QSP > m<QSRFrom the given diagram, we are to fill in the blank spaces with a < or > symbol.
21) The measure of the angles is a function of the measure of the sides.
Since the angle facing the side QR is less than that of QS, hence QR < QS
22) Similarly for this figure, the angle facing the side AB is greater than that of CD, hence AB > CD
23) Also, for this figure, the side facing the angle m<FJG is greater than the side facing the angle m<HJG, hence m<FJG > m<HJG
24) Also, for this figure, the side facing the angle m<QSP is greater than the side facing the angle m<QSR, hence m<QSP > m<QSR
Learn more on angles here: https://brainly.com/question/16281260
Luis wants to but a skateboard that usually sell for $79.64. All merchandise is discounted by 12%
Answers
Answer:
$79.64
Step-by-step explanation:
I think it's still 79.64
Answer:
it will be equal 70.08 $
A B C or D? please help
Answers
Answer:
(x-1) and (x-5)
Step-by-step explanation:
option a .......
What is another way to write 54?
5×5×5×5
4+4+4+4+4
4×4×4×4×4
5+5+5+5
IT CANT BE NONE OF THE ABOVE
Answers
Answer: 5^2.48 is honestly as close as you can get.
So 5x5x5x5
Hope this helps
2 and 5/6 divided by 1 and 2/3 find the solution and write it in simplest form
Thanks for the help!!!!
Answers
Answer:
1 7/10
Step-by-step explanation:
= 17/6 ÷ 5/3
= 17 x 3
= 6 x 5
= 51/30
= 1 7/10