============================================
Explanation:
The notation f(1) = -12 tells us that the first term is -12.
The equation f(n) = 2*f(n-1) indicates that we're multiplying the (n-1)th term by 2 to get the nth term. Basically we multiply each term by 2 to get the next term.
-12*2 = -24
-24*2 = -48
-48*2 = -96
So the first four terms are -12, -24, -48, -96.
-----------------------------------
Alternative Approach
f(1) = -12 .... first term
f(n) = 2*f(n-1) ... nth term recursive formula
f(2) = 2*f(2-1) ... plug in n = 2
f(2) = 2*f(1)
f(2) = 2*(-12) ... plug in f(1) = -12
f(2) = -24 ... second term
f(n) = 2*f(n-1) .... resetting for the next computation
f(3) = 2*f(3-1) ... plug in n = 3
f(3) = 2*f(2)
f(3) = 2*(-24) ... plug in f(2) = -24
f(3) = -48 .... third term
f(n) = 2*f(n-1) ... one more reset
f(4) = 2*f(4-1) .... plug in n = 4
f(4) = 2*f(3)
f(4) = 2*(-48) ... plug in f(3) = -48
f(4) = -96 ... fourth term
We get the first four terms to be -12, -24, -48, -96, which was the same as earlier.
Solve -3(5x-9) please
Answer:
12
Step-by-step explanation:
Please help me please and fast
Answer:
b
Step-by-step explanation:
sorry if wrong
Please help ASAP!!
What is the sum of the square root of 676 and square of 24
Step-by-step explanation:
square root of 676 is equal to 26
square of 24 is equal to 576
576+26 = 602
Step-by-step explanation:
[tex] \sqrt{676 } = 26[/tex]
[tex] {24}^{2} = 576[/tex]
576+26=602
Please help it’s due
1 = 70
2 = 20
3 = 70
4 = 20
5 =110
Solve the equation 7 − 2x = 19.
Question 11 options:
x = −13
x = −6
x = 6
x = 13
Answer:
-6
Step-by-step explanation:
firstly arrange whole equation,
-2x+7=19
Now, Transpose 7 to RHS (right hand side)
-2x=19-7
-2x=12
Further, seperate coefficient -2 from x
and transpose it to RHS and divide them
x=12/-2
Hence, x= -6
produstof 2/4 ×1/2 is
Answer:
1/4
Step-by-step explanation:
2/4 *1/2
(2/4 = 1/2)
1/2 * 1/2
1/4
what is the correct standard form for 30+2+0.1+0.005
Answer:
32.105
Step-by-step explanation:
30
2
+ 0.1
0.005
32.105 so answer is 32.105
A school is installing a flagpole in the central plaza. The plaza is a square with side length 100 yards as shown in the figure below. The flagpole will take up a square plot in the middle of the plaza and its base will have an area of x^2−6x+9 yd^2.
Area of the flagpole plot: x^2−6x+9
Find the length of the base of the flagpole by factoring. (Hint: Because the area of the flagpole is an expression that involves the variable x, the length of the base will also involve the variable x.)
The length of the base of the flagpole is
Answer:
[tex]x-3[/tex]
Step-by-step explanation:
The area of the flagpole base is [tex]x^2-6x+9\ \text{yd}[/tex]
where the factor of the equation is the length of the base.
In order to find the length we need to factorize the equation
[tex]x^2-6x+9[/tex]
[tex]=x^2-3x-3x+9[/tex]
[tex]=x(x-3)-3(x-3)[/tex]
[tex]=(x-3)(x-3)[/tex]
The length of the base of the flagpole is [tex](x-3)\ \text{yd}[/tex].
The area of a square base is the product of the side lengths.
The length of the base is x - 3
The area is given as:
[tex]\mathbf{Area =x^2 - 6x + 9}[/tex]
Expand
[tex]\mathbf{Area =x^2 - 3x - 3x + 9}[/tex]
Factorize
[tex]\mathbf{Area =x( x- 3) - 3(x - 3)}[/tex]
Factor out x - 3
[tex]\mathbf{Area =( x- 3) (x - 3)}[/tex]
Express as squares
[tex]\mathbf{Area =( x- 3)^2}[/tex]
Rewrite the area as:
[tex]\mathbf{Length^2 =( x- 3)^2}[/tex]
Take square roots of both sides
[tex]\mathbf{Length =x- 3}[/tex]
Hence, the length of the base is x - 3
Read more about area of squares at:
https://brainly.com/question/1658516
Help please thank you.
Answer: pick the third one
Step-by-step explanation:
1. How many terms are in 7y-2+9x-4?
Answer:
2 and they are x and y
Step-by-step explanation:
Graph the line y=-3/4x+1
Step-by-step explanation:
That is what your line should look like :)
The equation of line is y = ( -3/4 )x + 1 , where the slope is m = ( -3/4 )
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Substituting the values in the equation , we get
y = ( -3/4 )x + 1 be equation (1)
On simplifying the equation , we get
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And , the line is plotted in the graph
Hence , the equation of line is y = ( -3/4 )x + 1
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Which of the following is the solution to the equation 25(z − 2) = 125? (6 points)
z = −0.5
z = 5.5
z = 3.5
z = −2.5
Answer:
z=7
Step-by-step explanation:
25(−2)=125
25−50=125
Answer:
z=3.5
Step-by-step explanation:
took test
The diameter of a circle is 4 miles. What is the circle's circumference?
Answer:
C ≈ 12.56 mi
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASGeometry
Diameter: d = 2rCircumference: C = 2πrStep-by-step explanation:
Step 1: Define
d = 4
Step 2: Find Circumference
Rewrite formula: C = πdSubstitute: C = 4πEvaluate: C ≈ 12.56In the year that this exercise was written, there were 611 challenges made to referee calls in professional tennis single ppay. Among these challenges, 172 were upheld with the cell overturned. Assume that 30% of the challenges were successfully upheld with the cell overturned. Find the probability amonng the 611 challenges the number of overturned calls is exactly 172.
Answer:
i use this formula at school but when i simply calculate at my calculator, it says "math error" . i am sorry but i hope this formula helped
Help!! Please thanks
Answer:
i think you have chosen the right answer i don't really know its tricky for me
Step-by-step explanation:
Approximately 1 in 28 people of Ashkenazi Jewish descent are Tay-Sachs carriers. In randomly sampling one man and one woman from this population, what is the probability neither is a Tay-Sachs carrier? What is the probability both are carriers?
Answer:
a) probability that neither is Tay-Sachs carrier is 0.9298
b) the probability that both are carriers is 0.001276
Step-by-step explanation:
Given that;
1 in 28 people of Ashkenazi jewish descent are Tay-Sachs carrier.
so P(Carrier) = 1/28 =
also P( Not a carrier) = 1 - 1/28 = 0.9643
Now After Sampling 1 man and 1 woman from the population;
a)
the probability neither is Tay-Sachs carrier
P( Neither is a Carrier) = 27/28 × 27/28 = 0.9298
Therefore probability that neither is Tay-Sachs carrier is 0.9298
b)
the probability both are carriers
P( Both are Carriers) = 1/28 × 1/28 = 0.001276
Therefore the probability that both are carriers is 0.001276
Which choice is equivalent to the expression below √50-√2
Step-by-step explanation:
Hope this is correct and helpful
HAVE A GOOD DAY!
A bicycle is traveling at 14 miles per hour.
How many feet will it cover in 35 seconds?
Answer:
The answer is 31 how that help
What is the Inverse Point of (1,5)?
Answer:
The Inverse point of (1,5)=(5,1)
Find an equation of the line described. Write the equation in slope-intercept form when possible. Through (2,9) and (0,0)
Answer:
y=9/2x
Step-by-step explanation:
I used my notes.
Paulina sells beef in a competitive market where the price is $5 per pound. Her total revenue and total costs are given in the table below.
9514 1404 393
Answer:
see below
Step-by-step explanation:
Perhaps you want the table filled in.
Profit is the difference between revenue and cost.
Marginal anything is the change in that divided by the change in the number of units (pounds of beef). As you'd expect, the marginal profit is the difference between marginal revenue and marginal cost.
It is convenient to let a spreadsheet do these repetitive calculations.
HELPPPPPP MEEEEEE PLEASEEEEEE!!!!!!
In the exam 45% students failed and 550 students were successful. Find the total number of students appeared in the exam .
Here,
Let the total number of students be x,
Then,
55% of x=550
x=1000
Answer:
i like to do the box method which would look like
x% l x - original number
---------------
100% l x
which would look like for this equation
45% l 550
---------------
100% l x
so you would times 550 by 100 and get 55000 then divide by 45 which is 1222. 22 repeating but there is no one half of a person so rounded up to 1222.00
1222 is your answer
Step-by-step explanation:
You are beautiful. You are amazing. You are wonderful. You are perfect just the way you are. Never worry about the way people think about you. Only worry if you like you. You are the most important person to yourself. Just be yourself. No can tell you who you can be. You are truly perfect just the way you are. Never tell yourself you are not good enough, you are enough. Never tell yourself "I'm ugly" you are beautiful. Never let yourself down.
Death. Hate. Blood. Sorrow. Regret. Judgement. Disgusted. Disrespect. Threats. Murder. Darkness. Sadness. Fearfulness. Tortured. Humiliated. Worry. Hopelessness. Depressed. Lost. Lonely. Suffering. Disappointment. Shame. Lies. Miserable.
There are so many words that can describe our world today. We are stuck in a world a darkness, we are stuck in a world of death. The is hat going everywhere, even if we try to get out of this hate, we are still living in hate. We can try over and over again to change, but there is always something that is going to stop us. There is always something that is going to keep us from moving forward.
We need to find a way to break away the things that stop us from becoming better, we need to learn better wats to live. It does not matter who you are, what you look like, just remember you are perfect just the way you are. We can be amazing, we can be change to our society.
We are acting like everything is alright, when we actual want to break down and cry. We are acting like we are brave, when we are scared and afraid. We are acting like when can do anything, when we think we can't do anything. We are acting like we love those who hate us because we are to afraid to say the truth. We are acting like people who are to afraid to show who they really are. We are acting like life is a fairytale, but it's actual a nightmare. We are acting like we are the most happiest people, but really we just want to curl up inside. We are acting like we want to stay, when we want to run away. We are acting like we a doing just fine, When we are about to give up. We need to change, don't worry about those who hate. Don't worry about the way you look. Don't worry about who you really are. Just be yourself. Just relax. Just the real person you our. It doesn't matter what they say. The only thing that matters is if you like you the real you, not someone you are trying to pretend to be, but the real you.
There is always love, when there's only hate. There is always hope, when hope seems lost. There is always someone, when we have no one. There is always a light, when in there is darkness. There is always a way out, when we are stuck. There is always happiness, when we feel only sadness. There is always angels, when we only see demons. There is always someone to talk to, when there seems no one to talk to. There is always beauty, when things get ugly. There is always hope. There is always love. There is always someone. There is always a light. We might want to give up. We might want to lose the fight. We might want to stop trying. We might want to run away. No matter what, no matter what's happening right now, no matter if there seem like everything is falling apart or there is just a feeling that you need to give up. Always remember there is someone out there who needs you. There is always someone to talk to. There is always hope. Don't give up, don't give up. As there is always love, hope and happiness.
Sometimes in life we need a dose of happiness, sometimes we need someone to talk to, sometimes we need someone to hold on to, but sometimes we just wanna be alone, sometimes we need no one to talk to or hold. Their are those with nothing at all and there are those who have everything, but sometimes we have nothing but still everything, sometimes we have everything but nothing. Sometimes we wonder, sometimes we don't. Sometimes we try but fail and sometimes we don't try but yet succeed. Sometimes we cry, sometimes we get mad. Sometimes we do wrong, sometimes we do right. Sometimes we hate, sometimes we love. Sometimes we get our heart broken, sometimes we break peoples heart. Sometimes we tell the truth, but we are still lying. Sometimes we just need to relax but yet we can't. Sometimes we need quiet in a big city. Sometimes we are afraid of the unknown and sometimes we are not. Sometimes we discover. Sometimes we challenged. Sometimes we fall in love. Sometimes we find joy in a room of sadness. Hope this helps, have a wonderful day.
Georgia said she could make 11 out of 20 blankets for a craft show. She has already made 3 blankets. What percent of the 20 blankets does she still have to make? helppppppppppppppppppppp pleaseeeeeeeeeeeeeeeeeeeeeeeeeee i wil give you 100 0point i swerare
Answer:
Step-by-step explanation:
Total she can make = 11
Amount she has already made = 3
Amount she still have to make = 11-3 = 8
% of the 20blanket she still have to make = 8/20×100
= 8×5
= 40%
Hence she Still need to make 40% of the 20blanket
Answer:
11-3=8
40% of 20 is 40/100*20 = 8
Step-by-step explanation:
brainliest please
1 Which expression is equivalent to 1/3y?
• 1/3(y+12)-12
1/6y+1/3(y+3
1/6y+1/6(y+12)-2
1/3y+1/3(6-y)
Answer:
The answer is 1/6y+1/6(y+12)-2
Answer:
1/6y+1/6(y+12)- 2
Step-by-step explanation:
Distribute [tex]\frac{1}{6}[/tex] through the parentheses : [tex]\frac{1}{6}[/tex]y + [tex]\frac{1}{6}[/tex]y + 2 - 2Remove the opposites and calculate ( since two opposites add up to zero remove them from the expression) : [tex]\frac{1}{6}[/tex]y + [tex]\frac{1}{6}[/tex]yCalculate the sum : [tex]\frac{1}{3}[/tex] ySolution : [tex]\frac{1}{3}[/tex] y
-4 2/3 x -1 1/2 with work shown pls
Answer:
g
Step-by-step explanation:
e
Which ordered pair is a solution to the equation y=5x-25?
(12,50)
(5,10)
(2,25)
(10,25)
Answer:
c bye
Step-by-step explanation:
Matthew went to a amusement park during his summer vacation. He went
with four of his best friends. The admission fee for the park was $10.50. The cost of each ride
ticket is $5.50. His favorite ride was the tilt-O-whirl. Matthew had $36.75 to spend at the
amusement park. How many ride tickets can Matthew buy?
Answer:
4 rides
Step-by-step explanation:
36.75-10.5= 26.25 cost of admission
26.25 divded by 5.5= 4.7777777
so 4 rides with left over change
Answer:he can buy 4 tickets
The ages of the winners of a cycling tournament are approximately bell shaped. The mean age is 27.9 years, with a standard deviation of 3.3 years. The winner in one reason year was 26 years old
Answer:
200
Step-by-step explanation:
what is the slope of an equation of the line that passes through the point (3,-5) and has a slope of 0
Answer:
y=0x-5
Step-by-step explanation:
hope this helps :3
if it did pls mark brainliest
