Answer:
1.Formula method(almighty formula）
2.Completing the square method
Step-by-step explanation:
Key features are:
1.They have coefficients
2.Roots
given. Round
The first three terms of a sequence are
to the nearest thousandth (if necessary).
1 , 5/4 , 25/16 find the 7th term.
Answer:
[tex] \frac{15625}{4096} [/tex]
1/tanA-1/tan2A=cosec2A
Answer:
we have to prove it or solve it
Some biology students were checking eye color in a large number of fruit flies. For the individual fly, suppose that the probability of white-eyes is 1/4 and the probability of red-eyes is 3/4. We may treat these observations as independent Bernoulli trials. what is the probability that at least 3 flies have to be checked for eye color to observe a white-eye fly?
Answer:
0.5625 = 56.25% probability that at least 3 flies have to be checked for eye color to observe a white-eye fly.
Step-by-step explanation:
A sequence of independent Bernoulli trials is the binomial probability distribution.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
What is the probability that at least 3 flies have to be checked for eye color to observe a white-eye fly?
This is the probability of no white-eyes during the first two flies, that is, [tex]P(X = 0)[/tex] when [tex]n = 2[/tex]
Probability of white-eyes is 1/4
This means that [tex]p = \frac{1}{4} = 0.25[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{2,0}.(0.25)^{0}.(0.75)^{2} = 0.5625[/tex]
0.5625 = 56.25% probability that at least 3 flies have to be checked for eye color to observe a white-eye fly.
what number is this? 5.2 • 10^2 +3
Solve the equation of N+5/-16=-1
Step-by-step explanation:
N + 5 = -1
-16
N = - 1 + 5
16
N = -16 + 5
16
N = -11
16
N = -0.6875 = -0.7
The water depth of a pond is initially 36 inches and decreases at a rate of 0.2 inches per day through evaporation. Write a linear function that represents the depth of the pond at a given time.
Answer:
36-0.2d
Step-by-step explanation:
d refers to the number of days
This should work for your question if not I'm very sorry
The required expression for the decreasing depth of the pond is y = 36 - 0.2x, Where y is the depth of the pond after x days.
The equation is the relationship between variables and constants represented as y = ax + b is an example of a polynomial equation.
Here,
The water depth of a pond is initially 36 inches
The water depth of a pond decreases at a rate of 0.2 inches per day through evaporation.
Let the number of the days be x , and the depth left be y
According to the question,
Total depth in x days = 0.2x
Total remaining depth = 36 - 0.2x
or
y = 36 - 0.2x
Thus, the required expression for the decreasing depth of the pond is y = 36 - 0.2x, Where y is the depth of the pond after x days.
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If point B has coordinates (-8, 1), what are the coordinates of the point when it is reflected across the y-axis?
Answer:
(8,1)
Step-by-step explanation:
When flipping across the y axis, the y coordinate stays the same, while the x coordinate changes it's sign.
(x,y) - > (-x,y)
(-x,y) -> (x,y)
A line passes through the points (4,15) and (9,20). Right in line your function rule in terms of x and y for this line
Answer:
15
Step-by-step explanation:
help please I need to pass
9514 1404 393
Answer:
33.49 ft³
Step-by-step explanation:
Use the formula for the volume of a sphere and fill in the given numbers. After that, it's all arithmetic. A calculator is usually helpful.
[tex]V=\dfrac{4}{3}\pi r^3\\\\V=\dfrac{4}{3}(3.14)(2\text{ ft})^3=\dfrac{(4)(3.14)(8)}{3}\text{ ft}^3\\\\=\boxed{33.49\text{ ft}^3}[/tex]
Jessie types at the rate of 3 pages every 20 minutes. Find the time it would take Jessie to type a 12 page essay
Please note that this is directly proportional applications and the formula is output unit/input unit times input unit
Answer:
80 min or 1 hour and 20 minStep-by-step explanation:
3 pages ⇔ 20 min12 pages ⇔ x minCross= multiply and solve for x:
3x = 12*203x = 240x = 240/3x = 80 min = 1 hour and 20 minWhich rule should be applied to reflect f(x)=x^3 over the line y=x?
Answer:
if y=x
than f(x)=x³
be
f(y)=y³
Answer:
y = x
f(x) = x³
f(y) = y³
what is bigger 1 yard or 35 inches
Answer:
Step-by-step explanation:
1 yard has 3 feet
1 foot has 12 inches
3 feet have 3 * 12 = 36
36 is greater than 35
1 yard is greater than 35 inches.
The half-life of Palladium-100 is 4 days. After 24 days a sample of Palladium-100 has been reduced to a mass of 7 mg.
A.) What was the initial mass (in mg) of the sample?
B.) What is the mass (in mg) 4 weeks after the start?
You may enter the exact value or round to 4 decimal places.
9514 1404 393
Answer:
A) 448 mg
B) 3.5 mg
Step-by-step explanation:
24 days is 24/4 = 6 half-lives. That is, the mass of 7 mg is 2^-6 times the initial mass.
A) The initial mass is 2^6×(7 mg) = 448 mg
__
B) 4 weeks is 28 days, or 7 half-lives. The remaining mass will be half the amount after 6 half-lives.
(7 mg)/2 = 3.5 mg . . . . remaining after 4 weeks
Plz I need the answer fast
what's 1+1 plese my mom is going to tak away my tablet and I'll even mark yo branlyist
Answer:
2
Step-by-step explanation:
Imagine you have 1 cookie, and then you have another cookie.
1 cookie and then another cookie is 2 cookies.
Find the approximate area of the triangle.
30 square
15 square
21 square
45 square
Answer:
A
Step-by-step explanation:
Hard to explain xD
Select the expression that represents the following statement: add 24 to the quotient of 16 and 8.
a. 16 x 8 + 24
b. (16 ÷ 8) + 24
c. 24 − 8 + 16
d.(16 − 8) + 24
Answer:
Change the minus sign to a plus. 2. ... 24. = 8. 11. 24. Find each quotient. 1. 1. 3. 1. 6. 2. 5. 8. 1. 16. 2. 1. 3 x. 6. 1 = 6 ... Write a variable expression to represent the word phrase.
The correct expression for the given condition is,
⇒ (16 ÷ 8) + 24
What is an expression?An expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division is called mathematical expression.
We have to given that;
The algebraic expression is,
''add 24 to the quotient of 16 and 8.''
Now, We can write the expression as;
Quotient of 16 and 8 is,
⇒ 16 ÷ 8
And, Add 24 to the quotient of 16 and 8.
⇒ (16 ÷ 8) + 24
Thus, The correct expression for the given condition is,
⇒ (16 ÷ 8) + 24
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Please Help Timed Question. Picture provided below.
Answer:
17.67 mpg
Step-by-step explanation:
The fuel efficiency is given by :
[tex]\eta=1.437+0.541\times s[/tex]
We need to find the fuel efficiency for a speed of 30 mph
Put the value of s equals 30 mph in the above equation.
[tex]\eta=1.437+0.541\times 30\\\\\eta=17.67\ mpg[/tex]
So, the required fuel efficiency is equal to 17.67 mpg.
Simplify (3/5x-5)(3/5x+5)
Answer:
9/25x^2 -25
Step-by-step explanation:
plzzzzzzzzzzzzzzzz SOLVE THE PIc
Answer:
The area is 72.
Step-by-step explanation:
2 * 6 = 12
6 * 10 = 60
60 + 12 = 72
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
Answer:
72 units squared
Step-by-step explanation:
6x2=12
10x6=6
60+12=72
Please help asap pretty easy question just stuck
Answer:
Circle Pentagon Triangle Rectangle
Sales tax charged for a wallet was $2.45. The tax rate is 0.05%. Find the cost of the wallet. Show your work, show all of your steps.
Answer:
50
Step-by-step explanation:
giving brainliest !! *easy*
Answer:
25
Step-by-step explanation:
25
A solid sphere is cut into 8 equal wedges. The volume of each wedge is
V= dor? Solve the formula for r.
O A. r =
6V
B. r = 6V – 7
O c. r= = v
OD. r= 16V (11)
Answer:
A) r=∛(6v)/[tex]\pi[/tex]
Step-by-step explanation:
v=1/6[tex]\pi[/tex]r³
v÷1/6=[tex]\pi[/tex]r³
(when dividing by a fraction, invert and multiply)
6v=[tex]\pi[/tex]r³
6v÷[tex]\pi[/tex]=r³
(6v)/[tex]\pi[/tex]=r³
take the cube root of both sides
∛(6v)/[tex]\pi[/tex]=∛r³
∛(6v)/[tex]\pi[/tex]=r
If you jog 8 times around a track that is 600 meters long, how many kilometers have you covered?
Answer:
0.6 km
Step-by-step explanation:
If If you jog 8 times around a track that is 600 meters long, then 4.8 kilometers you have covered
What is Unit of Measurement?A Unit of measure is the actual unit in which the associated values are measured.
Given,
If you jog 8 times around a track that is 600 meters long,
We need to find how many kilometers you have covered.
8 times around a track that is 600
It means we have to multiply eight with six hundred.
8×600
=4800
We know that 1 km is 1000 m
So divide 4800 by 1000 to find in kilometers
4800/1000=4.8km
Hence If you jog 8 times around a track that is 600 meters long, Then 4.8 Kilometers you have covered.
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Please give me the correct answers
Answer:
x = 25°
y = 25°
Step-by-step explanation:
✔️(x + 35)° + 30° + 90° = 180° (sum of triangle)
x + 35 + 30 + 90 = 180
Add like terms
x + 155 = 180
x + 155 - 155 = 180 - 155
x = 25°
✔️(y + 30)° + 35° + 90° = 180° (sum of triangles)
y + 155 = 180
y = 180 - 155
y = 25°
what is the value of x?
2
3
6
7
Answer:
A. 2
Step-by-step explanation:
Given:
DC = 1
CE = x + 4
AB = 11
BE = x + 1
Required:
Value of x
Solution:
(DC + CE) × CE = (AB + BE) × BE
(1 + x + 4) × (x + 4) = (11 + x + 1) × (x + 1)
(x + 5) × (x + 4) = (x + 12) × (x + 1)
x² + 4x + 5x + 20 = x² + x + 12x + 12 (distributive property)
x² + 9x + 20 = x² + 13x + 12
Collect like terms
x² - x² + 9x - 13x = - 20 + 12
-4x = -8
Divide both sides by -4
x = -8/-4
x = 2
Answer
A.2 edg 2021
Step-by-step explanation:
A block of land was available for sale last year at $35,000.
a) if the inflation rate during the year was 3.2%, what would be the value of the land in this year?
b)if the inflation rate this year is reduced 2.7%, what price would the land attract next year??
Answer:
- $36,120
- $35,945
Step-by-step explanation:
This problem is rather pretty simple when breaking it down. We really just need to ask ourselves what the percent is of our whole and then add that to our total. Work shown below.
Step 1:
Move decimal over on both. You should get...
.032 and .027
(You always move it two to the left in these types of cases.)
Step 2:
Multiply our original price by inflation decimal. You should get...
$35,000 x .032 = $1,120
$35,000 x .027 = $945
Step 3:
Add our previous answer to our original price. You should get...
$35,000 + $1,120 = $36,120
$35,000 + $945 = $35,945
- This is our final answer, as the pricing increased due to inflation.
Note: Inflation means their is an increase in price.
Let me know if a further explanation is needed.
Megan wants to spend no more than $300 planning a party. She spent $75 on food and wants to buy decorations that are $10 each. How many decorations can she buy
Answer:
Step-by-step explanation:
10x + 75 ≤ 300
10x ≤ 225
x ≤ 22.50 on decorations
Let a =[2,4,6] b=[3,7,10,13] and c= [3,4,6,7,10,13] Which of the following is true
a. Set A is Subset of Set C
b. Set B is Subset of Set C
c. Both a and b is Subset of Set C
d set B is Subset of Set a
Answer:
I think the answer is A is subset of C