Answer:
I will show all the steps to lead to the solution.
1) 10b = 5 (√c + 2) <---- starting equation
2) divide by 5 => 2 b = √c + 2
3) subtract 2 => 2b - 2 = √c
4) raise to the power 2 => (2b - 2)^2 = c, which is the expression given.
Now these are two equivalent forms:
1) extract 2 from the parentheses: c = 4 (b -1)^2
2) expand the parentheses: c = 4b^2 - 8b + 4)
Step-by-step explanation:
Choice D
An equivalent equation to find c is [tex]4 (b-1)^{2}[/tex]
Here, given that
When 10 b = 5 ([tex]\sqrt{c}[/tex] + 2) is solved for c, one equation is c = (2b minus 2) squared.
What is equivalent equation?
Equivalent equations are algebraic equations that have identical solutions or roots.
Now,
For finding the solution, all steps are
⇒[tex]10 b = 5 (\sqrt{c} + 2)[/tex]
Divide both side by 5;
⇒[tex]2b = \sqrt{c} + 2[/tex]
subtract 2 from both sides,
⇒ [tex]2b - 2 = \sqrt{c}[/tex]
⇒ [tex](2b - 2)^2 = c[/tex]
⇒[tex]4 ( b-1 )^2 = c[/tex]
So, An equivalent equation to find c is [tex]4 (b-1)^{2}[/tex]
Learn more about the equivalent equation visit:
https://brainly.in/question/33387704
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Someone bless my day with answering this math question I’m stuck on it (photo)
Answer:
The answer is B.
Step-by-step explanation:
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
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
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%
Measure of angle R =49 find the measure of angle O
Answer:
angle O is equal to 41°
I hope it's helps you
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.
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.
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.
What is the product of (2x+1) and (2x-1)? O 4x2 0 4x2 - 4x-1 0 4x2 - 2x + 1 0 4x2.1
Answer:
Step-by-step explanation:
hello :
use identity : a²-b²=(a-b)(a+b)
(2x+1) (2x-1)= (2x)²-1 =4x²-1
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]
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
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
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
A circle has diameter of 17 meters. What is its radius?
This is Delta Math
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
What is the perimeter of the triangle?
Answer:
this triangle is a acute angel so it 3
The question is in the image i provided. I will mark brainliest!
Answer:
B
Step-by-step explanation:
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 ?
please help
me on this math problem
Answer:
12 feet
Step-by-step explanation:
[tex] \sin(41.5) = \frac{8}{x} [/tex]
[tex]x \sin(41.5) = 8[/tex]
[tex]x = \frac{8}{ \sin(41.5) } [/tex]
[tex]x = 12 [/tex]
(rounded to the nearest whole foot)
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
6 (n-3) - 2n = 10
Pleasee help
Answer: n = 7
(this website may help: https://www.symbolab.com/)
Step-by-step explanation:
Add one set of parentheses to the expression 2x² + 4 - 5 so that the value of the expression is 75 when x = 6.
Answer:
2(x^2 +4)-5
Step-by-step explanation:
6^2= 36
36+4= 40
40x2=80
80-5=75
6(6^2 + 4) -5
Approximate, in feet, the circumference of a circle with radius = 6 ft. (Round your answer to one decimal place.)
Answer:
37.7
Step-by-step explanation:
Circumference of circle =2pir
I took pi=3.14
C=2xpix6=37.7square ft
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.
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
What are the values of X, Please give me an in-depth explanation so that I can answer similar problems on my own
Step-by-step explanation:
a line is 180°
180-90 (given) = 90
so the two angles x and 2x added together equal 90
2x + x = 90
3x = 90
x = 30
the angles are 30 and 2(30)= 60
8 x 10 to the 5th power is how many time as great as 8 x 10 to the - 1 power
Answer:
B
Step-by-step explanation:
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!
if I have the numbers 8,4,11,13 and need a 5th number to make my mean 10 what would the blank number be?
Answer:
14
Step-by-step explanation:
If you want to solve this question, you would need to know the sum of your number right now and after you add the blank number.
First one is: 8 + 4 + 11 + 13 = 36.
Second one: Sum = mean x [how many numbers there are], which means:
sum = 10 x 5 = 50.
Then, subtract the 36 from 50, and you get the answer: 14.
The manufacturer of a new kind of granola bar needs to find the surface area in order ti design the wrapper the granola bar is the shape of a rectangular prism it is 12.0 long and 6.5 cm wide and 1.25 hight. To the nearest tenth, which is the surface area of the granola bar?
A. 97.5 cm
B. 101.1 cm
C. 118.5 cm
D. 202.3 cm
Answer: D
Step-by-step explanation: I just did this