Answer:
13, I believe :)
Step-by-step explanation:
3(4)-5(5)
multiply by the coefficient
=12-25
=-13
Use a double integral to find the area of the following regions. The region bounded by all leaves of the rose r=2cos3θ
Answer:
Hence the area of the region bounded by all leaves of the rose is [tex]\pi[/tex].
Step-by-step explanation:
Here,
[tex]2 cos (3\Theta )=0\\\Rightarrow cos(3\Theta)=0\\\Rightarrow cos(3\Theta )=cos\left (\frac{\pi }{2} \right )\\\Rightarrow \Theta =\left (\frac{\pi }{6},-\frac{\pi }{6} \right )[/tex]
Now consider for one leaf of rose:-
[tex]Area = 3\int_{-\frac{\pi }{6}}^{\frac{\pi }{6}}\frac{r^{2}}{2}d\Theta \\\\ = \frac{3}{2}\int_{-\frac{\pi }{6}}^{\frac{\pi }{6}}4 cos^{2}\left ( 3\Theta \right ) d\Theta \\\\ = \frac{12}{2}\int_{-\frac{\pi }{6}}^{\frac{\pi }{6}} \frac{cos(6\Theta +1)}{2}d\Theta\\\\ =\frac{6}{2}\left [ \frac{sin(6\Theta +\Theta )}{6} \right ]_{-\frac{\pi }{6}}^{\frac{\pi }{6}}\\\\ =3\times \left [ \frac{\pi }{6}+\frac{\pi }{6} \right ]\\\\ =3\times \frac{2\pi }{6}\\\\ = \pi[/tex]
Find the distance between the pair of points: (6,−3) and (1,0
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\sqrt{34}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\text{\underline{The distance formula is:}}\\\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the answer....}}\\\\d = \sqrt{(1-6)^2+(0-(-3))^2}\\--------------\\\rightarrow d = \sqrt{(-5)^2+(3)^2}\\\\\rightarrow d = \sqrt{(25+9)}\\\\\rightarrow d =\boxed{ \sqrt{34} }[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
To purchase $14.400 worth of machinery for his business, Greg made a down payment of $1400 and took out a business loan for the rest. After 2 years of
paying monthly payments of $576.18, he finally paid off the loan.
Answer:
below
Step-by-step explanation:
cost of the machinery = $14,400
he paid a deposit of $1400
then later paid $576.18 for two years
two years = 24 months
= $576.18 *24
=$13,828.32
total amount paid
= initial deposit + amount paid in two years
= $1,400 + $13,828.32
=$15,228.32
so he finally paid $15,228.32
interest = selling price - original cost
= $15,228.32 - $14,400
=$828.32
therefore interest = $828.32
Show Intro/Instructions
A wire 15 centimeters long is cut into two pieces. The longer piece is 3 centimeters longer than
the shorter piece. Find the length of the shorter piece of wire.
Answer:
Let the length of the 2 pieces = L and S
Let L = the longer piece and S = the shorter piece
A wire 26 cm is cut into 2 pieces. This equates to......L + S = 26
The longer piece is 6 cm longer than the shorter piece. This equates to.....L = 6 + S. Substitute this equation into the first one, you get
L + S = 26
6 + S + S = 26
2S = 20
S = 20/2 = 10 cm
L = 6 + S = 6 + 10 = 16 cm
To confirm, L + S = 26
16 + 10 = 26!
Hope the above was helpful.
Step-by-step explanation:
Please HELP!
Given this graph of function f(x), find f (-2)
Answer:
4
Step-by-step explanation:
f(x) is just the y value for a given value of x
When x = -2 y = 4
f(-2) = 4
In 2015, Tamya spent 100 hours reading. In 2016, she has only read 9.5 hours. How many more hours does she have to read in order to also read 100 hours in 2016?
Answer:
90.5 hours or 90 hours and 30 minutes
Step-by-step explanation:
100-9.5=90.5
Three consecutive integers have a sum of 30. Which equation can be used to find x, the value of the smallest of the three numbers? (x + 1) + (x + 2) = 30 x + (x + 1) + (x + 2) = 30 x (x + 1) (x + 2) = 30 3 x (x + 1) (x + 2) = 30
Answer:
X+(X+1)+X+2)=30
Step-by-step explanation:
Dave and Busters charges 2.50 per game in the arcade plus a one-time entrance fee of $10.
Which equation could be used to find the total.
A) y=2.50x
B) y=12.50x
C) y=2.50x + 10
D) y=2x-10
Answer:
C) y = 2.50x + 10
Step-by-step explanation:
Equation C is saying:
total cost = 2.50(number of games) + $10 entery fee
Hope this helps :)
Sherri chose 1 marble at a time from a bag of 50 marbles, recorded its color, and returned it to the bag. She repeated this experiment 20 times.
how many blue marbles are in the bag?
Select one:
6
30
15
20
Answer:
20 is it's right answer I think ok
Sketch a graph that has the following characteristics. (8 points: 2 points for each characteristic)
a. Crosses the y-axis at (0, 4)
b. Increases in the interval –12 ≤ x ≤ –2
c. Constant in the interval –2 ≤ x ≤ 2
d. Decreases in the interval 2 ≤ x ≤ 12
87 Step-by-step explanation:
Ill answer when i get the result
FACTOR b2 – 18b + 81
Answer:
(b-9)^2
Step-by-step explanation:
b^2-18b+81
=b^2-(9+9)b+81
=b^2-9b-9b+81
=b(b-9)-9(b-9)
=(b-9)(b-9)
=(b-9)^2
Hope this helps u!!
what additional piece of information do we need to prove that MLN ≅ OPN
Answer:
N is the midpoint of MO
Step-by-step explanation:
Given
See attachment for triangles
Required
Additional information to prove [tex]MLN \cong OPN[/tex]
From the attachment, we already have:
[tex]LM \simeq OP[/tex] and [tex]LN \simeq ON[/tex]
The additional information that must be true for [tex]MLN \cong OPN[/tex] to be true is: N is the midpoint of MO
Because this piece of information proves that:
[tex]MN \simeq ON[/tex]
Which in other words makes [tex]MLN \cong OPN[/tex]
What is the domain of the relation given by the set of ordered pairs shown?
{ ( - 3, 2 ), ( - 1, 0 ), ( - 3, 5 ), ( 2, - 3 ) }
List the domain as a set, in increasing order.
Step-by-step explanation:
the domain = {-3, -1, 2}
_____
The domain, as a set in increasing order, will be {-3, -1, 2}.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
The set of ordered pairs shown below.
{(-3, 2), (-1, 0), (-3, 5), (2, -3)}
Then the domain, as a set in increasing order, will be
⇒ {-3, -1, 2}
More about the domain and range link is given below.
https://brainly.com/question/12208715
#SPJ2
Rounding in the calculation of monthly interest rates is discouraged. Such rounding can lead to answers different from those presented here. For long-term loans, the differences may be pronounced.
To buy a car, you borrow $28,000 with a term of five years at an APR of 5%. What is your monthly payment? (Round your answer to the nearest cent.)
$
How much total interest is paid? (Round your answer to the nearest cent.)
$
9514 1404 393
Answer:
monthly payment: $528.39interest paid: $3,703.40Step-by-step explanation:
The monthly payment is given by the amortization formula:
A = P(r/12)/(1 -(1 +r/12)^(-12t))
where the annual interest rate is r for t years on loan value P.
Filling in the given information, we find the monthly payment to be ...
A = $28000(0.05/12)/(1 -(1 +0.05/12)^(-12·5)) ≈ $528.39
The monthly payment is $528.39.
__
The total amount repaid is ...
($528.39/mo)(60 mo) = $31,703.40
The interest paid is the difference between this and the loan amount:
interest paid = $31,703.40 -28,000 = $3,703.40
The total interest paid is $3,703.40.
Solve for x in the equation x squared + 14 x + 17 = negative 96.
Does anyone know the answer to this?
4. Type of data that is given as individual data points.
a grouped
c. research
b. questionnaire
d. un grouped
Answer:
Ungrouped
Step-by-step explanation:
Data given as individual data points are usually called Ungrouped data, this is because the data given is raw and not arranged in intervals to form a group of data. This data are usually worked on without having to work with the class size or the midpoint of the intervals. Examples of Ungrouped data could be given as a list of values such as :
Ages of 10 randomly chosen children :
5, 4, 2, 2, 4, 5, 7, 6, 3, 4
What is the value of k?
9514 1404 393
Answer:
k = 10
Step-by-step explanation:
The exterior angle is equal to the sum of the remote interior angles.
115° = (4k +5)° +(6k +10)°
115 = 10k +15 . . . . . . . . . . . divide by °, simplify
100 = 10k . . . . . . . . . . . . subtract 15
10 = k . . . . . . . . . . . . . . divide by 10
Find the area of a regular
polygon with 5 sides that has a
side length of 6 inches and an
apothem of 9 inches.
Answer:
area of polygon : 120in²
What is the true solution to In 20+ In 5= 2 In x?
x=5. A
X= 10 b
X=50 c
X= 100 d
ln(20) + ln(5) = 2 ln(x)
ln(20×5) = ln(x ²)
ln(100) = ln(x ²)
100 = x ²
x = 10
what is 2.5 = 75 please help
Answer: 3.333333333333% as a percent 3.25 as a decimal
Hi, I need help creating a graph for this math question. Here goes -
It is the end of the semester, and the clubs at school are recording their profits. The Science Club started out with and has increased its balance by an average of per week. The Math Club has saved per week after starting out with at the beginning of the semester.
Answer: Science Club y = 10x + 20 and Math Club y = 5x + 50.
Question: Graph both lines on one set of axes. When do the clubs have the same balance?
Answer:
(6,80)
Step-by-step explanation:
To check
Substitute (6,80) for x & y value
Y = 10x + 20
80 = 10(6) + 20
80 = 60 + 20
80 = 80
Y = 5x + 50
80 = 5(6) + 50
80 = 30 + 50
80 = 80
Answer:
(6.80) is the correct answer
A.)55
B.)38
C.)70
D.)20
Answer:
D) 20
Step-by-step explanation:
4x - 10 and x together equal 90
Set your formula up as
90 = 4x - 10 + x
90 + 10 = 4x + x
100 = 5x
100 / 5 = x
20 = x
Willl mark brainlest!
help pls
Answer:
g(-1)=-1
Step-by-step explanation:
g(-1)=[tex](-1)^{3} + (-1)^{2} - (-1) -2[/tex]=- 1
g(2) = [tex]2^{3} + 2^{2} -2-2=8[/tex]
g(1) =[tex]1^{3} +1^{2} -1-2=-1[/tex]
⇒g(2)+g(1)=8+(-1)=7
20 points
Evaluate the function graphically find f(-6)
Answer:
Five
Step-by-step explanation:
Just look at the point where x=-6
Which expression represents "5 times the sum of 4 and y?"
A) 5•4 + y
B ) 5(4 + y)
C ) 4+5•y
D ) 4(5 + y)
Which number is rational?
Answer:
D. Square root of 16
Step-by-step explanation:
Rational numbers are numbers that have simple answers. It is also considered as fractions, Integers, and possible square roots.
- If you chose the square root of 2 = 1.41
- Pi has a value of 3.14, It's not a fraction nor an integer so it's an Irrational number
- Square root of 10 is 3.16
- So Square root of 16 is 4 which is a regular number and a possible square root.
Thank you!
Answer:
last option- square root of 16 is a rational number
"the quotient of nine times a number and seven"
Answer:
[tex]9n \div 7[/tex]
Step-by-step explanation:
"the quotient of nine times a number and seven"
Hope it is helpful...Simplify the radical completely.
Answer:
the answer would be A , I hope this helps
X2-8x+15=(ax+b)(cx+d)
Answer:
(x-5) (x-3)
Step-by-step explanation:
x^2-8x+15
What two numbers multiply to 15 and add to -8
-5*-3 = 15
-5+-3 = -8
(x-5) (x-3)
Answer:
Step-by-step explanation:
-5