Answer:
r = 5
Step-by-step explanation:
70 = 10 + 12 r
-10 -10
____________
60 = 12r
/12 /12
_______
5 = r
Answer:
5
Step-by-step explanation:
70-10=60
60=12r
60/12=5
r=5
Find the volume of the sphere on the right. Use 3.14 for
The volume is
(Simplify your answer. Type a whole number or a decimal. Round to the nearest
hundredth needed)
64 in
What is the answer ?
How many solutions does the system of equations below have?
y = -9x - 9
y = -9x - 9
no solution
one solution
infinitely many solutions
Submit
Answer:
infinitely many solution
Step-by-step explanation:
HOPE IT HELPS
If xy + y² = 6, then the value of dy/dx at x= -1 is
Hi there!
[tex]\large\boxed{\text{At (-1, -2), }\frac{dy}{dx} = -\frac{2}{5}}}[/tex]
[tex]\large\boxed{\text{At (-1, 3), }\frac{dy}{dx} = -\frac{3}{5}}}[/tex]
We can calculate dy/dx using implicit differentiation:
xy + y² = 6
Differentiate both sides. Remember to use the Product Rule for the "xy" term:
(1)y + x(dy/dx) + 2y(dy/dx) = 0
Move y to the opposite side:
x(dy/dx) + 2y(dy/dx) = -y
Factor out dy/dx:
dy/dx(x + 2y) = -y
Divide both sides by x + 2y:
dy/dx = -y/x + 2y
We need both x and y to find dy/dx, so plug in the given value of x into the original equation:
-1(y) + y² = 6
-y + y² = 6
y² - y - 6 = 0
(y - 3)(y + 2) = 0
Thus, y = -2 and 3.
We can calculate dy/dx at each point:
At y = -2: dy/dx = -(-2) / -1+ 2(-2) = -2/5.
At y = 3: dy/dx = -(3) / -1 + 2(3) = -3/5.
Which property is being shown in this equation?
4(2n - 5) = 8n - 20 *
Commutative
Associative
Identity
Distributive
Transitive
Answer:Distributive
Step-by-step explanation:
Find the magnitude and direction of the vector.
<-10, 13>
Use the formula for magnitude of vector, which is [tex]m = \sqrt{a^2 + b^2}[/tex].
[tex]m = \sqrt{(-10)^2 + 13^2} = 16.401[/tex] units
In terms of direction, you can see that it is in the second quadrant because of a negative x-value and positive y-value. If you are looking for the angle of the vector, you need to use the formula,Ф = [tex]arctan(y/x)[/tex]. But because the x, value is negative, the rule is that we add π to this value.
Plug in the values:
arctan(13/-10) + π = 127.56° or 2.226 radians
Please help if you can !!!!!!!!
Answer:
D 51.3%
Step-by-step explanation:
Number of students who bought popcorn: 80
Total number of students: 156
percent = 80/156 * 100% = 51.3%
Find the perimeter of the figure. Round your answer to the nearest hundredth.
12 m
15 m
12 m
21 m
Answer:
68.56 m
Step-by-step explanation:
circumference of semi-circle: 15π/2 = 23.56
23.56 + 12 + 12 + 21 = 68.56
Where are my smart friends?? I had $370.00. My Mom gave $150.00. My Dad gave $150.00. My Aunt and Uncle gave me $100.00. I had another $30.00. How much did I have?
Answer:
$800.00
Step-by-step explanation:
370+150+150+100+30= 800
Answer:
You have $430 dollars .
Step-by-step explanation:
you had $370 dollars.
The degree of the root is called the
Answer:
In mathematics, an nth root of a number x is a number r which, when raised to the power n, yields x.Where n is a positive integer, sometimes called the degree of the root.
Answer:
positive integer
Step-by-step explanation:
Jess wants 180 cupcakes for her party. Jess has already made 60 berry cupcakes, and 48
cocoa cupcakes. How many more cupcakes does Jess need to make?
Answer:
Hi! The answer to your question is 72 Cupcakes
Step-by-step explanation:
[tex]60+48 = 108[/tex]
[tex]180 - 108 = 72[/tex]
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
plzz help i will give brainliest plzzzz
Answer:
B
Step-by-step explanation:
B gives you 8/12, which can be simplified down to 2/3.
The graph shows the function?
Answer:
The graph shows the function
✔ y = sin(x) – 6
.
The function rule y = cos(x) + 2 describes graph
✔ b shown here.
A line has a slope of -3 and a y intercept of 5. Write the equation of the line jn slope intercept form and explain how you use the slope and y intercept to graph the equation
Answer:
Slope-intercept form y = mx + b
m = slope (-3)
b = y-intercept (5)
hence, the slope-intercept form is:
y = -3x + 5
This gives us one point the line goes through, and the direction we should continue from that point to draw the entire line.
54,872 in expanded form
Answer:
54,000+800+70+2
Step-by-step explanation:
Answer:
Here is an answer
54,000+800+70+2
Use the distributive property to create an equivalent expression to 6(3j + 4 +j)
Answer:
24j + 24
Step-by-step explanation:
6(3j + 4 +j)
6(4j + 4)
24j + 24
Measure of angle R =49 find the measure of angle O
Answer:
angle O is equal to 41°
I hope it's helps you
In AABC, AB, AC, and BC are called
A sides
B. interior angles
C. vertices
D. exterior angles
Answer:
sides.
Step-by-step explanation:
What is (2x^2+ 9x + 7) = (x + 1)?
A. 2x+11
B. 7x+7
C. 2x+7
D. X+1
What is (2x² + 9x + 7) = (x + 1) ?
Solution:-2x² + 9x + 7 = x + 1
2x² + 9x - x + 7 - 1 = 0
2x² + 8x + 6 = 0
2(x² + 4x + 3) = 0
x² + 4x + 3 = 0
x² + 3x + x + 3 = 0
x( x + 3) + 1(x + 3) = 0
(x + 3)(x + 1) = 0
So, option (D) x + 1 is correct. [Answer]
[tex] \bf Hope \: it \: helps \: you [/tex] .A large insurance company maintains a central computing system that contains a variety of information about customer accounts. Insurance agents in a six-state area use telephone lines to access the customer information database. Currently, the company's central computer system allows three users to access the central computer simultaneously. Agents who attempt to use the system when it is full are denied access; no waiting is allowed. Management realizes that with its expanding business, more requests will be made to the central information system. Being denied access to the system is inefficient as well as annoying for agents. Access requests follow a Poisson probability distribution, with a mean of 40 calls per hour. The service rate per line is 18 calls per hour.
Reqiured:
a. What is the probability that 0, 1, 2, and 3 access lines will be in use?
b. What is the probability that an agent will be denied access to the system?
c. What is the average number of acess lines in use?
Answer:
Part A:
[tex]P_0=0.13298\\P_1=0.29547\\P_2=0.328320\\P_3=0.24321[/tex]
Part B:
[tex]P_3=0.24321[/tex]
Part C:
[tex]Average\ Number:=1.6817[/tex]
Step-by-step explanation:
Given data:
Mean =μ= 40 calls
Service Rate=λ=18 calls
Solution:
Formula:
[tex]P_i=\frac{\frac {(\frac{\mu}{\lambda}) ^{i} }{i!} }{\sum \frac {(\frac{\mu}{\lambda}) ^{i} }{i!}}[/tex]
Where i is access lines
Part A:
Probability of 0 access line, i=0:
[tex]P_0=\frac{\frac {(\frac{40}{18}) ^{0} }{0!} }{\frac {(\frac{40}{18})^{0} }{0!}+\frac {(\frac{40}{18})^{1} }{1!}+\frac {(\frac{40}{18})^{2} }{2!}+\frac {(\frac{40}{18})^{3} }{3!}}[/tex]
[tex]P_0=\frac{1}{1+2.222+2.4691+1.8290}[/tex]
[tex]P_0=0.13298[/tex]
Probability of 1 access line, i=1:
[tex]P_1=\frac{\frac {(\frac{40}{18}) ^{1} }{1!} }{\frac {(\frac{40}{18})^{0} }{0!}+\frac {(\frac{40}{18})^{1} }{1!}+\frac {(\frac{40}{18})^{2} }{2!}+\frac {(\frac{40}{18})^{3} }{3!}}[/tex]
[tex]P_1=\frac{2.222}{1+2.222+2.4691+1.8290}\\P_1=0.29547[/tex]
Probability of 2 access line, i=2:
[tex]P_2=\frac{\frac {(\frac{40}{18}) ^{2} }{2!} }{\frac {(\frac{40}{18})^{0} }{0!}+\frac {(\frac{40}{18})^{1} }{1!}+\frac {(\frac{40}{18})^{2} }{2!}+\frac {(\frac{40}{18})^{3} }{3!}}[/tex]
[tex]P_1=\frac{2.4691}{1+2.222+2.4691+1.8290}\\P_2=0.328320[/tex]
Probability of 3 access line, i=3:
[tex]P_3=\frac{\frac {(\frac{40}{18}) ^{3} }{3!} }{\frac {(\frac{40}{18})^{0} }{0!}+\frac {(\frac{40}{18})^{1} }{1!}+\frac {(\frac{40}{18})^{2} }{2!}+\frac {(\frac{40}{18})^{3} }{3!}}\\P_3=\frac{1.8290}{1+2.222+2.4691+1.8290}\\P_3=0.24321[/tex]
Part 2:
Only 3 users can access simultaneously, denied Probability is P_3(4th access line)
[tex]P_3=0.24321[/tex]
Part 3:
Average Number:
[tex]Average\ Number:\frac{\mu}{\lambda} (1-P_3)\\Average\ Number:\frac{40}{18} (1-0.24321)\\\\Average\ Number:=1.6817[/tex]
Someone bless my day with answering this math question I’m stuck on it (photo)
Answer:
The answer is B.
Step-by-step explanation:
A triangle, ABC, has angle measures of 60, 60, and 60 and three congruent (equal) sides. How would this triangle be classified?
Equilateral acute
Equilateral obtuse
Scalene acute
Isosceles acute
Answer:
equilateral acute. Because it is less than 90 and all equal
give proof and show work and ill give brainliest
Answer:
c because if you remove the food the squirrels the are limited to what they get. Which means they need to find more.
Step-by-step explanation:
brainliest
∩｡• ᵕ •｡∩ ♡
Answer:
D
Step-by-step explanation:
Less population is what we are wanting
Name a chord shown in the diagram. Answer in this format, "Segment EK"
9514 1404 393
Answer:
Segment AB
Segment AC
Step-by-step explanation:
A chord is a line segment whose ends are on the circle. In this circle segments AB and AC are chords.
__
Segment AC is a special chord, the longest possible. It is a diameter of the circle.
How many times greater is the value of the 7 in 171,889 than the value of the 7 in 117,889. Please help me!
Really need help right answer gets it
Step-by-step explanation:
-7 is in the domain
0 is in the domain
7 is not in then domain
Answer:
7
Step-by-step explanation:
x=7 is the vertical asymptote, it is not in the domain
How much will you pay for an item that is $28.55 on sale for 60% off?
$17.13
$11.42
$17.00
$11.50
Answer: That would be $11.42
Step-by-step explanation: Hope this helped!! :)
Kelly sells vitamins. She made this chart to calculate her total earnings for the month of April.
Base Salary $2,500
Percent of Sales Commission 4%
What's Kelly's total earnings if she sold $6,000 worth of vitamins for April?
Answer:
2740
Step-by-step explanation:
earnings from commission is 240 (6000x.04). Her base salary 0f 2500 plus commission of 240 = 2740
plss help me with this question pls and with whole procedure pls
Answer:
S45°E
Step-by-step explanation:
45° south east, not 100% sure though
Have the conditions for inference been met?
A varsity swimmer at a large high school wants to
estimate the amount of time (in hours), on average,
athletes at this school train or practice each day. This
swimmer selects 10 members of her swim team and
asks them how many hours they typically train or
practice. Use the data to construct a 90% confidence
interval to estimate the true mean number of hours
athletes at this school train or practice each day.
No, the sample is not random.
No, the graph of the data shows skewness and has
outliers.
No, the 10% condition cannot be verified, because it
is not known how many seniors are in the
population.
Yes, the student selected a random sample; 10 is
less than 10% of the population of athletes, and the
graph of the data shows no clear skewness or
outliers.
0.5, 1, 1, 2, 2, 2, 2.5, 2.5, 3, 3
Answer: the answer is A
Step-by-step explanation: because the original question does not state that the swimmer “randomly selected” the members. It only says the swimmer “selects” 10 members. Therefore, it is A (The sample is not random)
youre welcome
PLS HELP URGENT
In triangle PQR.
Sis the point on PR such that angle RSQ = 90°
RQ = 14 cm
RS -- 10 cm
SP - 5 cm
Work out the length of PQ.
PQ=11
PS^2+SR^2=QR^2
PS^2+PS^2=PQ^2
9514 1404 393
Answer:
11 cm
Step-by-step explanation:
The law of cosines can be helpful here. In order to find PQ, we must know the cosine of the angle R. Fortunately, SOH CAH TOA reminds us it is ...
Cos = Adjacent/Hypotenuse
cos(R) = 10/14 = 5/7
__
The law of cosines gives us the relation ...
PQ^2 = PR^2 +QR^2 -2·PR·QR·cos(R)
PQ^2 = 15^2 +14^2 -2(15)(14)(5/7) = 121
PQ = √121 = 11
The length of PQ is 11 cm.
_____
Alternate solution
This can be solved using the Pythagorean theorem twice.
QS^2 = QR^2 -SR^2 = 14^2 -10^2 = 96
PQ^2 = PS^2 +QS^2 = 5^2 +96 = 121
PQ = √121 = 11