Answer:
F(2b-1)=4b^2-8b+7
Step-by-step explanation:
F(x)=x^2-2x+4
F(2b-1)=(2b-1)^2-2(2b-1)+4
F(2b-1)=4b^2-8b+7
[tex]f(x) = x^2 -2x +4\\\\f(2b-1) = (2b-1)^2 -2(2b-1) +4\\\\~~~~~~~~~~~~~= (2b)^2 - 2(2b)+1 - 4b +2 +4 \\\\~~~~~~~~~~~~~=4b^2 -4b +7-4b\\\\~~~~~~~~~~~~~=4b^2 -8b +7\\[/tex]
Do Now 13.2:
Green light has a frequency of 5.71 x 10' Hz.
Calculate the energy of a green light photon.
(SHOW ALL WORK for FULL CREDIT!)
Answer:
Not Step-by-step explanation:
Not enough info
what does relatively prime mean in math?
Answer:
When two numbers have no common factors other than 1.
Step-by-step explanation:
In other words there is no value that you could divide them both by exactly (without any remainder).
21 and 22 are relatively prime:
• The factors of 21 are 1, 3, 7 and 21
• The factors of 22 are 1, 2, 11 and 22
(the only common factor is 1)
But 21 and 24 are NOT relatively prime:
• The factors of 21 are 1, 3, 7 and 21
• The factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24
(the common factors are 1 AND 3)
Relatively Prime is also called "coprime" or "mutually prime".
Here we see that 12 and 16 are NOT relatively prime
The diameters of a circle is 7m. Find its area to the nearest tenth?? Help please
Area =[tex]\pi r^{2}[/tex]
The diameter is double the length of the radius
7 ÷ 2 = 3.5
3.5 × 3.5 = 12.25
[tex]12.25\pi[/tex] = 38.4845100064751
38.4845100064751 rounded to the nearest tenth is 38.5
Answer:
A = 38.5 sq meters
Step-by-step explanation:
A = πr²
since diameter is 7, then radius is 7/2
A = π(7/2)²
A = 38.48
A = 38.5 rounded to nearest tenth
a piece of string 44 centermerters long.Many cuts of a piece that is 15 centermeaters long .how much string is left?
In the figure below, m∠1 = x and m∠2 = x - 4. Which statement could be used to prove that x = 47?
A) m∠1 = m∠2
B) m∠2 = 47
C) m∠1 + m∠2 = 90
D) m∠1 + m∠2 = 180
The answer is C) m∠1 + m∠2 = 90
Explanation: So ∠1 is x and ∠2 is x-4
Basically you know than ∠3 is 90° ... And a straight line is 180° .. So technically we can just find out 180-90 is 90(the other angle 1 + 2).
To get 90° we'll add ∠1 and ∠2 in other ways, like technical thinking-
So you already know adding ∠1 and ∠2 is 90°. So ∠1 + ∠2 = 90°
In other words you can say m∠1 + m∠2 = 90
help me no bots I need help pls give me all 3 answers!
Answer:
y= -10x+70
slope being -10 and y-intersept being 70
Step-by-step explanation:
Answer:
Equation: y=-10x+70
Slope: -10
Y-Intercept: 70
Hope this helps!
Step by step? Just ask.
Doubt? --> comment section.
Happy Holidays! (✿◡‿◡)
dont want to fail gosh please help
Answer:
11X + 3 is correct
Step-by-step explanation:
first add the 9x and 2x= 11x
and then -2 + 5 = 3
Thus 11x + 3
Please Mark as brainliest
add 17 divied by 20 + 7 dived by 20 help
Answer:
1.2
Step-by-step explanation:
17 ÷ 20 + 7 ÷ 20
I hope this helps!
prove that: sin×sec=tan
[tex]L.H.S\\\\=\sin \theta \sec \theta \\\\=\sin \theta \cdot \dfrac 1{\cos \theta } \\\\=\dfrac{\sin \theta}{\cos \theta}\\\\=\tan \theta\\\\=R.H.S\\\\\text{Proved.}[/tex]
the area of a triangle with vertices at (-3,-2),(3,-2),(1,2) is
please provide small explanation
Answer:
12
Step-by-step explanation:
First, you have to graph (which I sadly cannot provide an image of)
Then look at the vertical height which is 4, the how long it is which is 6.
So A=1/2*6*4=12
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer:
C. San Francisco
Step-by-step explanation:
In order to get the speed in km/h, we must divide the km by the h! So, we do 1689/3 to get 563, 913/2 to get 456.5, and 2556/4 to get 639. Now we see that San Francisco has the highest average speed.
Answer:
San Fransisco
Step-by-step explanation:
Take the distance to travel and divide that by the hours it will take to make the full trip there. Your answer will be how far the plane travels per hour. San Fransisco travels farther per hour.
PLZ HELP ME
NO LINKS PLZ
Answer:
the domain is -11,10 but i didnt know if you wanted that or not
Step-by-step explanation:
compare. 2 1/4 and 3 /14
Answer:
[tex]\frac{1}{4}[/tex] is larger than [tex]\frac{3}{14}[/tex]
[tex]\frac{1*14}{4*14}[/tex] = [tex]\frac{14}{56}[/tex]
[tex]\frac{3*4}{14*4}[/tex] = [tex]\frac{12}{56}[/tex]
i cant tell if it is [tex]\frac{1}{4}[/tex] or 2 [tex]\frac{1}{4}[/tex]
but if it is 2 [tex]\frac{1}{4}[/tex] that mean this is a mixed number
and [tex]\frac{3}{14}[/tex] is a proper fraction
PLS ANSWER AS SOON AS POSSIBLE
PLSSSS
Step-by-step explanation:
<B=180°-70°-50°=60°
hope this helps you.
Anyone Can you please check the already done one, and the rest I just need help!!! please:
Answer:
yes your math seems about right but wait for someone else to respond also because im not completely sure
Step-by-step explanation:
Justin spends $15 at the grocery store. He buys a loaf of bread for $3 and buys 112 pounds of cheese. What is the price per pound of cheese?
Answer:
the answer is
Step-by-step explanation:
p, price per pound of cheese
The required price per pound of cheese is approximately $0.11.
What is the definition of simplification?The process of removing unnecessary terms, factors, or operations from an expression using arithmetic and algebraic rules is known as simplification.
Here,
If Justin spent $15 at the grocery store and the loaf of bread cost $3, then the amount he spent on cheese is:
$15 - $3 = $12
To find the price per pound of cheese, we need to divide the total cost of the cheese by the number of pounds. We are given that Justin bought 112 pounds of cheese, so we can set up the following equation:
price per pound of cheese = total cost of cheese/number of pounds of cheese
Plugging in the values we know, we get:
price per pound of cheese = $12 / 112 pounds
price per pound of cheese = $0.11
Therefore, the price per pound of cheese is approximately $0.11.
Learn more about simplification here:
https://brainly.com/question/12501526
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the current temperature in small town is 20 degrees fahrenheit this is 6 degrees less than twice the temperature that it was 6 hours ago
A box of 15 markers cost is $2.40 how much will a box of 40 marker’s cost
Answer:
$6.40
Step-by-step explanation:
Answer:
Step-by-step explanation:
6.4
Can someone Please help me on this easy math problem
Which statement about the slope of the line is true?
It is −2 throughout the line.
It is fraction negative 1 over 2 throughout the line.
The slope from point O to point A is one-half times the slope of the line from point A to point B.
The slope from point O to point A is two times the slope of the line from point A to point B.
Explanation:
Let's say we started at point B (-6, 3). To get to point A(-4,2), we move down 1 and to the right 2. This movement determines the slope.
slope = rise/run = -1/2
rise = -1 and run = 2
A negative rise value means we go downhill when moving to the right.
Six percent of computer chips produced by Cheapo Chips are defective. Each month a random sample of 200 chips manufactured that month are taken. Let X = the number of defective chips in the sample. What are the mean and standard deviation of X?
Using the binomial distribution, it is found that the mean of X is of 12, with a standard deviation of 3.36.
For each chip, there are only two possible outcomes, either it is defective, or it is not. The probability of a chip being defective is independent of any other chip, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The mean of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
In this problem:
Six percent of computer chips produced by Cheapo Chips are defective, hence [tex]p = 0.06[/tex].Each month a random sample of 200 chips manufactured that month are taken, hence [tex]n = 200[/tex]Then:
[tex]E(X) = np = 200(0.06) = 12[/tex]
[tex]\sqrt{V(X)} = \sqrt{np(1 - p)} = \sqrt{200(0.06)(0.94)} = 3.36[/tex]
The mean of X is of 12, with a standard deviation of 3.36.
A similar problem is given at https://brainly.com/question/12473640
Simplify the question
In Circle P, m EA=58, m BC=42, m CD=90, find:
1. m∠EDA
2. m∠BDC
3. m∠BEC
4. m arc AB
5. m∠AEB
6. m∠ECA
7. m∠BAC
8. m arc ED
9. m∠ECD
10. m∠ACB
11. m∠EBD
12. m∠ADB
13. m∠CAD
14. m∠EAB
15. m∠EBC
PLEASE HELP AHHHHH
Applying the inscribed angle theorem, the missing measures are:
1. m∠EDA = 29°
2. m∠BDC = 21°
3. m∠BDC = 21°
4. measure of arc AB = 80°
5. m∠AEB = 40°
6. m∠AEB = 29°
7. m∠BAC = 21°
8. measure of arc ED = 90°
9. m∠ECD = 45°
10. m∠ACB = 40°
11. m∠EBD = 45°
12. m∠ADB = 40°
13. m∠CAD = 45°
14. m∠EAB = 111°
15. m∠EBC = 90°
What is the Inscribed Angle Theorem?The inscribed angle theorem states that, if ∠a is an inscribed angle, that intercepts arc AB, therefore: m∠a = ½(measure of arc AB).
The diagram showing circle P is attached below. We are given the following:
measure of arc EA = 58°
measure of arc BC = 42°
measure of arc CD = 90°
Thus:
1. m∠EDA = ½(measure of arc EA)
m∠EDA = ½(58)
m∠EDA = 29°
2. m∠BDC = ½(measure of arc EA)
m∠BDC = ½(42)
m∠BDC = 21°
3. m∠BEC = ½(measure of arc BC)
m∠BDC = ½(42)
m∠BDC = 21°
4. measure of arc AB = 180 - 58 - 42
measure of arc AB = 80°
5. m∠AEB = ½(measure of arc AB)
m∠AEB = ½(80)
m∠AEB = 40°
6. m∠ECA = ½(measure of arc EA)
m∠AEB = ½(58)
m∠AEB = 29°
7. m∠BAC = ½(measure of arc BC)
m∠BAC = ½(42)
m∠BAC = 21°
8. measure of arc ED = 180 - 90
measure of arc ED = 90°
9. m∠ECD = ½(measure of arc ED)
m∠ECD = ½(90)
m∠ECD = 45°
10. m∠ACB = ½(measure of arc AB)
m∠ACB = ½(80)
m∠ACB = 40°
11. m∠EBD = ½(measure of arc ED)
m∠EBD = ½(90)
m∠EBD = 45°
12. m∠ADB = ½(measure of arc AB)
m∠ADB = ½(80)
m∠ADB = 40°
13. m∠CAD = ½(measure of arc CD)
m∠CAD = ½(90)
m∠CAD = 45°
14. m∠EAB = ½(180 + 42)
m∠EAB = ½(222)
m∠EAB = 111°
15. m∠EBC = ½(measure of arc EDC)
m∠EBC = ½(180)
m∠EBC = 90°
Learn more about the inscribed angle theorem on:
https://brainly.com/question/14267250
is zero a rational number?
Answer:
yes
Step-by-step explanation:
we know that every integer is a rational number and Zero can be represented as the ratio of two integers.
find the sequence 5n+1
Answer:
Their are many answers for that seqence such as
1,6,11,16,21, etc..
Answer:
6,11,16,21,26,31,36...
Step-by-step explanation:
5x1=5 +1=6
5x2=10+1=11
...
What’s the definition of coefficient
Answer:
a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x).
Step-by-step explanation:
Q: What is the coefficient in 6x^2
A: 6
Note: It is USUALLY a number
PLEASE HELP!!! TRIG
The three solutions of the equation
f(x)=0 are 0°, 180°, and 360°.
Therefore, the three solutions of the equation f(x-30°)=0 are:
Answer:
30°, 210°, 390°
Step-by-step explanation:
Given
f(x ) = 0 has solutions 0°, 180°, 360° , then
f(x - 30) = 0
Add 30° to each of the solutions of f(x) = 0
(0 + 30)° = 30°
(180 + 30)° = 210°
(360 + 30)° = 390°
John had one piece of rope that was 176 feet long. He cut the rope into as many 9-foot pieces as possible. The last piece of rope was less than 9 feet long.
Answer:
The ninth piece is 0.5 feet long
Step-by-step explanation:
176 divided by 9
Hope this helps!
Which system of equations is equivalent to the following system? 3x 5y = 29 x 4y = 16 3x 5y = 29 â’x â’ 4y = 16 3x 5y = 29 â’3x â’ 12y = â’48 â’3x â’ 5y = 29 x 4y = 16 â’9x â’ 15y = 87 x 4y = 16.
The correct option is (B). [tex]3x+5y=29[/tex] And [tex]-3x-12y=-48[/tex].
Given Equations,
[tex]3x + 5y = 29......(1)[/tex]
[tex]x + 4y = 16.......(2)[/tex]
We have to find out Which system of equations is equivalent to the Given system of Equations.
1). System of equation are,
[tex]3x+5y=29\\-x-4y=16[/tex]
taking - common and transposing to R.H.S we get,
[tex]x+4y=-16[/tex]
This equation is not equal to equal (2), so the option (1) is not the system of equation equivalent to given Equations.
Similarly, on checking other options,
2. system of equation,
[tex]3x+5y=29\\-3x-12y=-48[/tex]
Taking -3 common from L.H.S. we get,
[tex]-3(x+4y)=-48\\\\x+4y=\dfrac{-48}{-3}[/tex]
[tex]x+4y=16[/tex].
Hence the Above system of equation is equivalent to the given system of equation.
So, there is no need to check option (3) and option (4).
Hence the correct option is (B).
For more details on Equations follow the link:
https://brainly.com/question/11897796
please please help i beg ill give brainlist
Answer:
[tex]a_{15}=-268,435,456[/tex]
Step-by-step explanation:
First, find what factor each term is multiplied by to get to the next. To do this, divide the second term by the first, the third term by the second, etc
[tex]4\div-1=-4\\-16\div4=-4\\64\div-16=-4[/tex]
The common factor is 4. Using that, you can now write the equation for the geometric sequence in the form of:
[tex]a_n=a_1x^{n-1}[/tex]
It looks scarier than it is. aₙ is the nth term in the sequence, x is the factor, and n is the index in the sequence, that's all it is.
Plug in the information we have to get the equation for this sequence:
[tex]a_n=(-1)(-4)^{n-1}[/tex]
Then, you can solve for the 15th term:
[tex]a_{15}=(-1)(-4)^{15-1}\\a_{15}=(-1)(-4)^{14}\\a_{15}=(-1)(268,435,456)\\a_{15}=-268,435,456[/tex]
Basically, just raise the scale factor to the power of the term you want minus 1, then multiply that by the first number.