Answer:
[tex]a_n=\frac{1}{8} (2^{n-1})[/tex]
Step-by-step explanation:
This is a geometric sequence. You start with the first term, 1/8, then multiply it by 2 to get 1/4, then double that to get 1/2, etc.
The number you multiply by is called the common ratio. In this case, the common ratio is 2.
A formula for the general (nth) term is: [tex]a_n=a_1 r^{n-1}[/tex].
[tex]a_1=1/8\\r=2[/tex]
So the nth term is [tex]a_n=\frac{1}{8} (2^{n-1})[/tex]
Felix’s Feed Mill sells chicken feed for $8. 00 per bag. This price is no longer high enough to create a profit. Felix decides to raise the price. He is considering four different plans. Plan A: Raise the price by $0. 10 each week until the price reaches $12. 0. Plan B: Raise the price by 10 percent each week until the price reaches $12. 0. Plan C: Raise the price by the same amount each week for 8 weeks, so that in the eighth week the price is $12. 0. Plan D: Raise the price by $0. 25 each week until the price reaches $12. 0. Which plan will result in the price of the feed reaching $12. 00 fastest? plan A plan B plan C plan D.
The plan will result in the price of the feed reaching $12.00 fastest is Plan B because it reaches within 5 weeks.
What is decision-making?The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.
Felix’s Feed Mill sells chicken feed for $8. 00 per bag.
This price is no longer high enough to create a profit.
Felix decides to raise the price. He is considering four different plans.
The plan will result in the price of the feed reaching $12.00 fastest will be
Plan A: Raise the price by $0. 10 each week until the price reaches $12. 0.
⇒ $0.10 × 20 = $2
This plan will take 20 weeks to reach at a price of $12.
Plan B: Raise the price by 10 percent each week until the price reaches $12.0. The price of this plan will be in t weeks is
[tex]12 = 8 *1.1^t\\\\t = 4.25 \approx 5[/tex]
This plan will take less than 5 weeks.
Plan C: Raise the price by the same amount each week for 8 weeks, so that in the eighth week the price is $12.0. The amount will be
Amount = 2/8 = $0.25
Plan D: Raise the price by $0.25 each week until the price reaches $12. 0.
⇒ 0.25 × 8 = $2
This will take 8 weeks.
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Answer quick and show work!
Aj and his two friends went out to dinner and the meal's total was $100. They decided to give the server a 20% tip. How much money will the total bill be?
Answer:
$120
Step-by-step explanation:
Sharlotta's favorite candy is pixie sticks. A packet of 6 pixie sticks cost $ .42. How many packets of pixie sticks can Sharlotta buy for $13.02
the answer is 29.02
first I had to find out if it was cents or dollars I just thought of cents
so I did 42 cent minus 13.02 and that equals to 29.02
Evaluate f(2) for the function f(x)=5(x-3)+17
Answer:
12.
Step-by-step explanation:
Replace the x by 2 and evaluate:
f(2) = 5(2 - 3) + 17
= -5 + 17
= 12.
The value of function f (2) is, 12
We have to give that,
The function is defined as,
f (x) = 5 (x - 3) + 17
Substitute x = 2 in the above function,
f (x) = 5 (x - 3) + 17
f (2) = 5 (2 - 3) + 17
f (2) = 5 × - 1 + 17
f (2) = - 5 + 17
f (2) = 12
Thus, The value of a function at x = 2 is,
f (2) = 12
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7. Find the volume of a rectangular prism if the height is 14 inches and the area of the base is 30 square inches. Type your answer without units.
Answer:
420
Step-by-step explanation:
V = whl is the volume of a rectangular prism. w*h is the area, so V is area times height.
This gives us: V = 30 * 14 = 420.
The size of the rat population of a wharf area grows at a rate of 5% monthly. If there are
200 rats in June, find how many rats should be expected by next June.
Answer:
200+10×12=320
Step-by-step explanation:
1. Find the length of the arc shown in red:
2. Find the area of the circle:
Answer:
Step-by-step explanation:
what is the solution of the system of equations 4x+2y=-1 and 3x+4y=3
Answer:
7x+6y=2
Step-by-step explanation:
All you have to do is add both of the equations together.
what do you call the statements that are assumed to be true and do not need proof?
Answer:
A postulate :)
Step-by-step explanation:
This is because a postulate is a statement that is assumed true without proof, while a theorem is a true statement that can be proven.
Hope this helps!
Jimmy just left the movies. The
movie ended at 4:47 p.m. The
movie was two hours long.
What time did the movie start?
?
Please help me ASAP
Answer:
12 -9
Step-by-step explanation:
Look to the ends of each arrow and you will see each number the arrow is on. Hope this helps.
Answer:
[tex]y=-x+3[/tex]
Step-by-step explanation:
Let's start by defining what slope-intercept form is. Slope-intercept form is:
y=mx+b
Where...
"y" = y-coordinate of any point on the line
"m" = slope of the line
"x" = x-coordinate of any point on the line
"b" = y-intercept (where the line intercepts the y-axis)
Let's start by finding the y-intercept. As stated above, the y-intercept is where the line intercepts the y-axis. Looking at the graph, we can tell that in this case, it is (0, 3).
Note that the y-intercept (b) is represented by ONLY the y-value, which in this case is 3.
Now, let's find the slope. Start by taking ANY two points on the line. Let's use (0, 3) and (1, 2).
The formula for slope is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]y_1, y_2:$ Values for the two y-coordinates\\x_1, x_2:$ Values for the two x-coordinates[/tex]
Substitute the given points into the equation:
[tex]m=\frac{2-3}{1-0}=\frac{-1}{1}=-1[/tex]
The slope is -1.
Finally, we substitute our slope and y-intercept back into the equation and get:
[tex]y=-x+3[/tex]
How do I right 62% as a decimal
Answer:
0.62
Step-by-step explanation:
=> 62% = 62/100
=> 62/100 = 0.62
Dion bought 3 pounds of oranges and 2 pounds of grapefruit . Write an expression to represent the amount of money Dion spent on fruit. Then evaluate the expression. How much did Dion Spend?
Fruit Prices: Lemons : $0.79
Oranges : $ 0.99
Limes : $ 1.09
Grapefruit : $ 1.59
The expression to represent the amount of money Dion spent on fruit is 3x + 2y.
The amount of money Dion spent is $6.15
How to represent mathematical expression?Expression are numbers, symbols and operators grouped together that show the value of something.
Dion bought 3 pounds of oranges and 2 pounds of grapefruit.
The expression to represents the amount of money Dion spent on fruit is as follows:
let
x = cost of each pounds of oranges
y = cost of each pounds of grapefruit
Therefore,
total cost = 3x + 2y
Let's evaluate the expression
total cost = 3(0.99) + 2(1.59)
total cost = 2.97 + 3.18
total cost = 6.15 dollars
Therefore, Dion spent $6.15
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Regan measured a neighborhood park and made a scale drawing. the scale she used was 7 inches = 5 yards. what is the scale factor of the drawing?
Answer:
fgy8errrbtthy333eeeee[tex]x^{2} 33\pi \sqrt[n]{x} \int\limits^a_b {x} \, dx[/tex]r4g344myngívr3vh57744kpuiv2224gpo48
Step-by-step explanation:
uyrooou
What is origin? Write down the coordinates of origin.
Answer:
(0, 0)
Step-by-step explanation:
Origin is the center of the coordinate plane which is located where the x-axis and y-axis meet
I need help will give 20 points
Answer:
x=136 degrees
Step-by-step explanation:
A quadrilateral inscribed in a circle has opposite angles that add up to 180 degrees. So x + 44 deg = 180 deg. We can solve this to get x = 136 deg.
I hope this solution was helpful. Happy mathing!
pls answer yessirrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr
Answer:
150
Step-by-step explanation:
this first side is 6 by 5, (6 x 5 = 30) and 4 sides have these measurements so (30 x 4 this = 120) to find the surface area of all these sides.
The second type of side is 3 by 5, (3 x 5 = 15) and 2 sides have these measurements so we have to do (15 x 2 = 30) to find the surface area of all these sides.
Now that we have all the surface area of all the sides we have to add them up (30 + 120) the surface area of the rectangular prism is 150.
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
What is the approximate length of the apothem? 0. 4 cm 0. 8 cm 1. 5 cm 1. 9 cm.
The length of apothem for a regular hexagon with radius of 18 cm and side of 18 cm is 15.6 cm
What is apothem?
The apothem of a regular polygon is a line segment from the center to the midpoint of one of its sides.
Let a represent the length of the apothem. Hence half of the side = 18/2 = 9 cm.
Using Pythagoras:
18² = a² + 9²
The length of apothem for a regular hexagon with radius of 18 cm and side of 18 cm is 15.6 cm
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A huge Ping-Pong tournament is held in Beijing with 65,536 participants at the start of the tournament. Each round of
the tournament eliminates half the participants.
a.
If p(r) represents the number of participants remaining after r rounds of play, write a formula to model the
number of participants remaining.
Answer:
[tex]P(r)=65536(\frac{1}{2})^{r}[/tex]
Step-by-step explanation:
Since the total number of participants in the tournament is 65,536 people, and the exponential decay is [tex]\frac{1}{2}[/tex], using [tex]P(r)[/tex] as the representative of the number of people after [tex]r[/tex] rounds, the formula to represent the model would be [tex]P(r)=65536(\frac{1}{2})^{r}[/tex].
Answer:
[tex]p_r = 65\ 536 \div 2^r = 65\ 536 \div 2^-^r = 2^{16-r}; r\ \in \{0,1,2,3...16\}[/tex]
Step-by-step explanation:
Pet peeve of mine: let's call it [tex]p_r[/tex] (read p sub r)since it's a representation over the natural numbers and not over [tex]\mathbb{R}[/tex].
Old man yelling at clouds moment gone, we know that the number of people gets halved every time so
At round 0, we do not halve, so [tex]p_0 = 65\ 536\div 1[/tex]
At round 1, we halve once, so [tex]p_1 = 65\ 536\div 2[/tex]
At round 2, we halve twice, so [tex]p_2 = 65\ 536\div 4 = 65\ 536\div 2^2[/tex]
At round 3, we halve three times, so [tex]p_3 = 65\ 536\div 8 = 65\ 536\div 2^3[/tex]
...
At round k, we halved k times, so [tex]p_k = 65\ 536 \div 2^k[/tex]
...
At round 16 we [tex]2^1^6 =65\ 536[/tex] so we have a winner.
That allows us to write a formula. I personally find the last one to be the neater, but any of the three is formally correct.
[tex]p_r = 65\ 536 \div 2^r = 65\ 536 \div 2^-^r = 2^{16-r}; r\ \in \{0,1,2,3...16\}[/tex]
A pizza box is 20 inches wide, 18 inches long, and 2 inches tall.
How many square inches of cardboard were used to create the box?
Answer:
872 square in.
Step-by-step explanation:
The formula for the surface area of a rectangular prism is:
[tex]A=2(wl*wh*lh)[/tex]
Where w is the width of the prism, l s the length of the prism, h is the height of the prism, and A is the surface area.
Plugging in the numbers given, you get the following equation:
[tex]A=2((20*18)*(20*2)*(18*2))[/tex]
Which when calculated out, is 872 square in.
six hundred kilograms of tea were packed in 500 g packets. how many packets of tea were there?
Answer:
1200 packets of tea
Step-by-step explanation:
Its because theres 1000 grams in 1kg so it would be 600000 grams and you would divided 600000 over 500 and get 1200
Can you mark brainlyist?
Answer:
1,200 packets of tea
Step-by-step explanation:
1. First, convert 600 kilograms into grams.
1 kilogram = 1,000 grams
So,
600 kilograms = 600,000 grams.
Now divide the previous value by 500.
[tex]\frac{600,000 g}{500 g} = 1,200[/tex]
Therefore, there are 1,200 packets of tea.
The graphs of the functions (f) and (g) are shown where..
[tex]f(x) = 4.5 \sqrt{x} [/tex]
[tex]g(x) = \frac{1}{9} {x}^{2} [/tex]
Select the TWO closest approximations for solutions to the equations f(x) - g(x) = 0
A.x=0
B.x=5.0
C.x=11.7
D.x=13.5
E.x=20.0
Answer:
[tex]\red{ \rule{10pt}{999999pt}} \pink{ \rule{10pt}{999999pt}} \blue{ \rule{10pt}{999999pt}} \purple{ \rule{10pt}{999999pt}} \\ \red{ \rule{10pt}{999999pt}} \pink{ \rule{10pt}{999999pt}} \blue{ \rule{10pt}{999999pt}} \purple{ \rule{10pt}{999999pt}} \\ \red{ \rule{10pt}{999999pt}} \pink{ \rule{10pt}{999999pt}} \blue{ \rule{10pt}{999999pt}} \purple{ \rule{10pt}{999999pt}}[/tex]
\orange{ \rule{100pt}{999999pt}} < /p > < p > [tex]at < /p > < p > at</p><p>[tex]at</p><p>
Step-by-step explanation:
f(x) - g(x) = 0
f(x) = g(x)
4.5√x = ⅑ x²
4.5 × 9 = x√x
40.5 = x√x
square it on both side
1640.25= x².x
1640.25 =x³
x=11.7
Name any two timber plans found in the Terai region of Nepal? Where is Red panda found? Why is it called an endangered bird?
Step-by-step explanation:
red Panda is found in langtang national park and makalu-barun national park in Nepal .
timber planks for in the religion of Nepal sal, sissoo& Khair.
I'm injured birds are any bird fishing that is at risk of extinction because of a sudden rapid increase in population or a loss of its critical habitat .
what is 5x15= what help me please to hard
Answer:
75
Step-by-step explanation:
Brainliest if correct
Answer:
box 1 = 6,080
box 2 = 6,169
box 3 = 18,219
box 4 = 19,151
Step-by-step explanation:
What is the value of the expression 3+(8-4)x2-4
Answer:
7
Step-by-step explanation:
First, do what's inside the parentheses.
Second, do the multiplication
Third, add.
Lastly, subtract
3+(8-4)x2-4
3+4x2-4
3+8-4
11-4
72a=11.4 a= b-5=7.2 b= 3.4+c =10 c= 5.7divided by d= 1.9 d=
Hey there!
2a = 11.4
DIVIDE 2 to BOTH SIDES
2a/2 = 11.4/2
CANCEL out: 2/2 because it give you 1
KEEP: 11.4/2 because it give you the value of a-value
NEW EQUATION: a = 11.4/2
SIMPLIFY IT!
a = 5.7
Therefore, your answer is: a = 5.7
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Subway creates a paid promotion featuring a different 6-inch sub of the day each day of the week. The sub of the day is only $3. 50. Subway utilizes the radio to spread the word. Which promotion method is subway using?.
Based on the information provided, the promotion method subway is using is sales promotion.
What is promotion?It is a marketing tool that involves letting know potential customers about a product that a company wants to sell.
What are the promotion methods?Most common methods include:
Direct selling.Public relations.Sales promotion.What is sales promotion?This involves promoting or advertising products through sales, which means customers are offered special discounts or lower prices. This is the method used by the subway because the sub of the day is a sales.
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From her window 5 m above the ground, Sherri spots a turtle on the ground at a 34° angle of depression.
To the nearest tenth of a meter, how far is the turtle from the base of the Sherri’s building?
7.4 m
4.8 m
4.1 m
3.4 m
Answer:
7.4 m it's because toes are yummy
A long solenoid with radius r = 7 cm and n = 3,170 turns/m carries a current i = 6. 7 a. What is the magnitude of the magnetic field in the central area inside the solenoid, in t?
The magnitude of the magnetic field in the central area inside the solenoid, in T is 0.0267 T
Magnetic field inside solenoidThe magnetic field inside the central area of the solenoid is given by B = μ₀ni where
μ₀ = permeability of free space = 4π × 10⁻⁷ Tm/A, n = number of turns per unit length = 3,170 turns/m and i = current in solenoid = 6.7 ASince B = μ₀ni
Substituting the values of the variables into the equation, we have
B = μ₀ni
B = 4π × 10⁻⁷ Tm/A × 3,170 turns/m × 6.7 A
B = 4π × 10⁻⁷ Tm/A × 21239 A-turns/m
B = 84956π × 10⁻⁷ T
B = 266897.15 × 10⁻⁷ T
B = 0.026689715 T
B ≅ 0.0267 T
So, the magnitude of the magnetic field in the central area inside the solenoid, in T is 0.0267 T
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The magnitude of the magnetic field in the central area inside the considered solenoid (assuming in vaccum), is approx 2.67 × 10^{-2} T
What is the measurement of the magnetic field inside a long solenoid?Magnetic field = permeability constant x relative permeability x turn density x current
B = [tex]k\mu_0nI = \mu nI[/tex]
where turn density is calculated as:
n = N/L
Where N represents the number of turns of the wire and
L represents the length of the solenoid.
Assuming that the solenoid is placed in vaccum, we have:
[tex]\mu = k\mu_0 = \mu_0 = 4\pi \times 10^{-7} \: \rm T m/A[/tex]
And it is given that:
n = 3174 turns/mI = 6.7 amperesThus, we get:
[tex]B = \mu n I = 4\pi \times 10^{-7} \times 3170 \times 6.7 \approx 2.67 \times 10^5 \times 10^{-7} \\\\B = 2.67 \times 10^{5 + (-7)}B = 2.67 \times 10^{-2} \: \tm T[/tex]
Thus, the magnitude of the magnetic field in the central area inside the considered solenoid (assuming in vaccum), is approx 2.67 × 10^{-2} T
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