Answer:
1/5
Step-by-step explanation:
Refer to the image for the region. I've chosen to "scan" the region horizontally for convenience sake, so x varies for values between the green and the red line, and y varies from 0 to 1.
The two lines have equations [tex]x=7-6y[/tex] (red line) and [tex]x=7-7y[/tex] (green line). Since we're integrating first with respect to x, it's easier to write the equation like that and not as [tex]y=mx+q[/tex] since they will become our new limits of integration
Our double integral will become
[tex]\int \limits_0^1 \ \ \int \limits_{7-7y}^{7-6y}y^3dxdy = \int \limits_0^1 y^3x|\limits_{7-7y}^{7-6y} dy =\\\int \limits_0^1 y^3[(7-6y)-(7-7y)]dy = \int \limits_0^1y^3(y)dy =\\\int \limits_0^1 y^4dy =\frac15y^5|\limits_0^1=\frac15[/tex]
P: Using your prior knowledge how would you find the area of a rectangle ?
Answer: w * l
To find the area of a rectangle the formula used is width x length
Step-by-step explanation:
For a ride on a rental scooter, Goran paid a $3 fee to start the scooter plus 11 cents per minute of the ride. The total bill for Goran's ride was $23.79. For how many minutes did Goran ride the scooter?
Answer:
Step-by-step explanation:
he paid a 3 dollar fee so we can remove that 23.79-3 = 20,79
now we devide 20,79 by 11 or 189 minutes.
find the midpiont between y and 31 is -5 find y
Answer:
y=-41
Step-by-step explanation:
[tex]\frac{y+31}{2} =-5\\y+31=-5 \times 2\\y+31=-10\\y=-10-31\\y=-41[/tex]
Ayuda porfavor!! E estado intentando y no lo puedo resolver
CURSO: MATEMÁTICAS FINANCIERAS
bro i really dont know this is hard
how many 5 seater taxis do you need for78 people
Step-by-step explanation:
Answer: 78 /5 = 15.6 = 16 taxis. Step-by-step explanation: I HOPE THIS WILL HELP YOU AND MARK IT AS BRAINLIEST ANSWER PLEASE.
I need to solve 5 :(
Answer:
the distance between df is just 2dj so i belive its 12.
Step-by-step explanation:
If Mrs.davis serves each guest 1/6 of a pie what is the greatest number of guests she can serve
How do you know what units to use for Tamara to feed her cats
The units use for Tamara's cats is an illustration of metric units
Tamara's unit of feeding her cats is cups
How to determine the unit of measurement?From the complete question, the amount of feed Tamara gives her cat to be:
Amount = 1/8 cups
This means that the unit of feed Tamara used is cups
Hence, Tamara's unit of feeding her cats is cups
Read more about metric units at:
https://brainly.com/question/2555957
find the measure of angles 2, 3, and 4. input the measures then click done. i-ready
please help i missed a day of class i cant figure this out
Answer:
m∠2 = 95°
m∠3 = 85°
m∠4 = 95°
Step-by-step explanation:
Vertical Angle Theorem:
When two straight lines intersect, the opposite vertical angles formed are always equal (congruent) to each other.
Therefore,
m∠3 = 85°
m∠2 = m∠4
Linear pair:
Two adjacent angles which, when combined, form a line, so the sum of a linear pair is 180°.
Therefore,
85° + m∠2 = 180°
m∠3 + m∠4 = 180°
If 85° + m∠2 = 180°
⇒ m∠2 = 180° - 85°
⇒ m∠2 = 95°
As m∠2 = m∠4 then m∠4 = 95°
the ratio of the length of shantels pool to the length of juan's pool is 3 to 5 shantels pool is 30 meters how long is Juan’s pool
Step-by-step explanation:
the ratio of the pool lengths is 3/5.
that means for every 3 meters of length on Shantel's pool, there are 5 meters of length on Juan's pool.
it the other way around : to get to the size of Shantel's pool, every 5 meters of length on Juan's pool are converted to 3 meters.
x = length of Juan's pool
x × 3/5 = 30
3x = 150
x = 50 meters
you see the relationship ?
3/5 = 30/50 = 300/500 = ...
but it is true for any factor
3/5 = 15/25 = 24/40 = 6/10 = ...
once you see the factor for one part of the ratio, you know there is the same factor for the other part (or parts) of the ratio. otherwise the ratio would not stay the same and keep the relationship.
Using the digits 2, 4, and 6, write a number with a 4 in
the hundred thousands place and a 2 in the hundreds
place.
Answer:
624
Step-by-step explanation:
What is the answer for this question?
Answer:
is this from flvs?
Step-by-step explanation:
The number 2 in the expression 5 + 2x is called the
coefficient of x. How does changing the coefficient to
6 change the meaning of the expression?
Changing the coefficient of x to 6 changes the meaning of the expression as 5 is added to 6 times x
Solution:
Given that number 2 in the expression 5 + 2x is called the coefficient of x
We are asked to find what happens when changing the coefficient to 6 changes the meaning of the expression
In the expression,
5 + 2x
This means 5 is added to 2 times x or 5 is added to twice of x
Number 2 is called the coefficient of x
When we change this coefficient to 6, the expression becomes,
5 + 6x
So now the meaning of expression becomes,
5 is added to 6 times x
So changing the coefficient of x changes the meaning of the expression
Sort all of the following triangle side lengths into if each set would form a right, acute, or obtuse triangle.
Answer:
acute, acute, obtuse*, right, obtuse
Step-by-step explanation:
The Pythagorean theorem is used as a reference for classifying triangles from their side lengths. If the sum of the squares of the short sides is equal to the square of the long side, then the triangle is a right triangle. If the long side is too short, then triangle is acute. If the long side is too long, the triangle is obtuse.
__
The math can be tedious, so it is convenient to let a spreadsheet do it. The results are attached.
The first two triangles are acute; the 4th one is a right triangle, and the remaining two are obtuse.
_____
Additional comment
* Note that triangle #3, with side lengths 2, 4, 6, is classified as "obtuse" because the largest angle is greater than 90°. In fact, with those side lengths, the largest angle is 180°. Some would argue it isn't a triangle at all because its area is 0 and it looks like a line segment.
(Our spreadsheet doesn't care if the triangle inequality is not satisifed. It is only concerned with the Pythagorean theorem.)
CAN SOMEONE GIVE ME A RIGHT ANGLE TRIG WORD PROBLEM JUST MAKE IT UP PLS ILL GIVE BRAINLIEST
Answer:
In a right triangle, the leg adjacent to an angle of 25° is 13 cm long. How long is the leg opposite the 25° angle, to the nearest tenth?
Step-by-step explanation:
1 Susie wants to make some hot cereal for breakfast. The directions say to use 3 cups
of water with 1 cup of cereal to make 4 servings. Susie only wants 1 serving.
a
How much cereal should she use?
b How much water should she use?
Using proportions to relate the amount of cups needed, it is found that she should use:
a) 0.25 cups of cereal.
b) 0.75 cups of water.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, for 4 servings, 3 cups of water and 1 cup of cereal is needed. One serving is one-fourth of the amount, hence:
Item a:
1/4 x 1 = 0.25 cups of cereal.
Item b:
1/4 x 3 = 3/4 = 0.75 cups of water.
More can be learned about proportions at https://brainly.com/question/24372153
An AC generator produces an alternating current with a peak value of 18 V. The resistance of the lamp is 4 ohms. What is the effective current?
The effective current when an AC peak voltage of 18V is applied to a lamp with 4 ohm resistance is 3.18 A.
What is current?Current is the flow of electrons through a conductor when voltage is applied across the conductor.
Given the peak voltage of 18 V, hence:
[tex]V_{rms}=\frac{Peak\ value}{\sqrt{2} } =\frac{18}{\sqrt{2} } =12.73 V\\\\I_{rms}=\frac{V_{rms}}{resistance } =\frac{12.73}{4 } =3.18 A\\[/tex]
The effective current when an AC peak voltage of 18V is applied to a lamp with 4 ohm resistance is 3.18 A.
Find out more on current at: https://brainly.com/question/24858512
Georgia is a coffee enthusiast and drinks three coffee drinks a day from a local coffee shop costing $1.25 each. Being concerned with the expense of her coffee habit Georgia looks into making her own manual brewed coffee. A bag of premium coffee beans costs $70.00, a coffee grinder costs $120.00, and the manual coffee brewer costs $40.00. If a bag of coffee makes enough for 100 cups, how many full bags of coffee does she need to consume before saving money.
She needs to consume 3 full bags of coffee before saving money.
Amount calculationSince Georgia is a coffee enthusiast and drinks three coffee drinks a day from a local coffee shop costing $1.25 each, and being concerned with the expense of her coffee habit Georgia looks into making her own manual brewed coffee, and a bag of premium coffee beans costs $70.00, a coffee grinder costs $120.00, and the manual coffee brewer costs $40.00, to determine, if a bag of coffee makes enough for 100 cups, how many full bags of coffee does she need to consume before saving money, the following calculation must be performed:
70 x 1 + 120 + 40 = 230 / 100 = 2.370 x 2 + 120 + 40 = 300 / 200 = 1.570 x 3 + 120 + 40 = 370 / 300 = 1.23Therefore, she needs to consume 3 full bags of coffee before saving money.
Learn more about amount calculation in https://brainly.com/question/27271814
On a recent math assignment consisting of 32 problems, Wendy had 5 application problems, and the
rest involved only computation. What percent of the problems were only computation?
Answer:
84.375%
Step-by-step explanation:
Total no. of computation problem=32-5=27
Total no. problems in the assignment=32
=) per%= 27/32×100%=84.375%
PLS MARK ME AS BRAINLIEST
Choose the number (X) that should come next in this series (1 4 9 16 X).
20
23
25
27
Answer:
25
Step-by-step explanation:
[tex]1^2=1\\\\2^2=4\\\\3^2 = 9\\\\4^2=16\\\\\text{So the next number should be}~ 5^2=25[/tex]
How do I do this question folks?
Answer:
Correct answer: B
Step-by-step explanation:
Syntax: in piecewise functions such as the one attached, the "if:" section shows the domain, or x-axis values which that function pertains to.
In the graph, you can see that the graph is defined for [tex]-3\leq x < 1[/tex] (not-including 1 because there is an open hole there, indicating it is not part of the domain), and [tex]2\leq x\leq 4[/tex].
Now that we know the domain, we can attach it to the graphs that lie on those domains.
We see that the leftmost line appears to have a positive slope and a negative y-intercept, and that the second line should have a positive y-intercept and a negative slope.
At this point, you can just start crossing off answers that don't meet this criteria.
Cheers!!
Ron has a co-op in the Astor Cooperative development. There are 40,000 shares in the cooperative ownership. If Ron owns 500 shares, what percentage of the cooperative corporation does he own?
Answer:
Ron owns 1.25% of shares.
Step-by-step explanation:
400/50000 comes out to 0.0125 which can be converted into a decimal by moving the decimal two places to the right.
molly makes 70% of her free throws. The random numbers below represent 20 trials of a simulator of two free throws, using the numbers 9 through 0
38 38 21 50 64
71 66 42 47 90
80 82 29 98 27
87 89 89 93 03
let the numbers from --- to ----- represent a successful free throw.
let the numbers from ---- to ----- represent a missed free throw.
based on the simulated results, the probability that molly makes both free throws is
----- or ------%
The random number simulator of Molly's throws is an illustration of probability.
The probability of making both free throws is 30%
How to determine the probability?From the complete question, we understand that:
The simulator is based on numbers 0 to 9
Given that she makes 70% of her free throws, then it means that 7 of the 10 numbers would represent a successful throw, while the other three would represent a missed throw
So, we have:
Let the numbers from 0 to 6 represent a successful free throw.Let the numbers from 7 to 9 represent a missed free throw.From the random numbers, she has two successful free throws in:
21 50 64 66 42 03 --- 6 numbers of 20
The probability of making two free throws is then calculated as:
P = 6/20
Evaluate
P = 30%
Hence, the probability of making both free throws is 30%
Read more about probability at:
https://brainly.com/question/251701
The quadratic function
Answer:
Four and three arithmetic numbers of this equation are then
Step-by-step explanation:
[tex]x = 3 = x = 4 > - 4 > < - 3 = x = 4[/tex]
And the numbers are equal
[tex]x = 4 \\ y = 3 \\ x \times y = 12 = 12 > 4 > 3 = xy = 0 = \\ xy = - 12[/tex]
please help I'm so stuck on this
Answer:
divide the anser in the pasage
Step-by-step explanation:
divide the two numbers
20 POINTS!!!
If A varies directly as B and inversely as C and when A = 6, B = 10 and C = 15. Calculate C when A = 92 and B= 107
Answer:
C = [tex]\frac{963}{92}[/tex]
Step-by-step explanation:
given A varies directly as B and inversely as C then the equation relating them is
A = [tex]\frac{kB}{C}[/tex] ← k is the constant of variation
to find k use the condition A = 6 , B = 10 , C = 15 , then
6 = [tex]\frac{x10k}{15}[/tex] ( multiply both sides by 15 )
90 = 10k ( divide both sides by 10 )
9 = k
A = [tex]\frac{9B}{C}[/tex] ← equation of variation
when A = 92 and B = 107 , then
92 = [tex]\frac{9(107)}{C}[/tex] ( multiply both sides by C )
92C = 963 ( divide both sides by 92 )
C = [tex]\frac{963}{92}[/tex]
Answer:
C = 963/92
Step-by-step explanation:
Given :
A ∝ BA ∝ 1/CFinding the constant of variation, k
A = kB/C6 = k(10)/(15) [Given in 1st part of question]6 = 2k/3 2k = 18k = 9Finding C
Using the same equation, and new values of A and B, we can find CA = kB/CC = kB/AC = 9 x 107 / 92C = 963/921. Suppose you pay back $680 on a $650 loan you had for 75 days. What was your simple annual interest rate?
well, let's assume a year has 365 days, so 75 days is simply 75/365 of a year. We also know that your loan was $650 and you paid back $680 or namely 30 bucks extra, so the interest on those $650 is really 30 bucks.
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill &\$30\\ P=\textit{original amount deposited}\dotfill & \$650\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\to \frac{75}{365}\dotfill &\frac{15}{73} \end{cases} \\\\\\ 30 = (650)(\frac{r}{100})(\frac{15}{73})\implies 30=\cfrac{9750r}{7300}\implies 30=\cfrac{195r}{146}\implies 4380=195r \\\\\\ \cfrac{4380}{195}=r\implies \stackrel{\%}{22.46}\approx r[/tex]
Help help help help math
Answer:
(-8, 12)
Step-by-step explanation:
Dilation of point (-4, 6) about point (0, 0)
Scale factor = 2
Image coordinate:
(-8, 12)
hope this helps and is right!! p.s. i really need brainliest :)
Select all expressions equivalent to
532
20
202
124
55
51.43
5.43
Solve -5(3n + 4) = 40.