Answers
Answer:
f(1) = 12
Step-by-step explanation:
We know that f(x)=f(x-1)+2x+1
We are told that f(2) = 17
Use the first equation to calculate f(1). Since f(2) is known and f(x-1) will become f(1) after f(2-1) is simplified to f(1).
17 = f(2-1)+2*2+1
f(2-1) = 17 - 5
f(1) = 12
Related Questions
What is the approximate length of the apothem? 0. 4 cm 0. 8 cm 1. 5 cm 1. 9 cm.
Answers
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
Find out more on apothem at: https://brainly.com/question/369332
The triangle is not necessarily drawn to scale, and the angles can vary. Create a compound inequality for the side length x using the Triangle Inequality.
A. 2 < x < 12
B. 5 < x < 7
C. 5 < x < 12
D. 2 < x < 7
Answers
Answer:
A
Step-by-step explanation:
given 2 sides of a triangle then the third side x is in the range
difference of 2 sides < x < sum of 2 sides , that is
7 - 5 < x < 7 + 5
2 < x < 12
Please help me ASAP
Answers
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]
What is the distance from L1 to D? That is, what is the measure of the line segment L1D? Hint: review the diagram in "The Race Course" section of the Performance Task
there are no images.
Answers
A line segment in geometry is the part of a line which is bounded by two distinct end points.
What is line segment?Your information is incomplete. Therefore, an overview will be given. A line segment simply means a part of a line that has two endpoints.
A line segment contains end points and the points if the line that's between them. A segment is typically named by two endpoints like AB.
Learn more about line segments on:
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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.
Answers
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.
How do I right 62% as a decimal
Answers
Answer:
0.62
Step-by-step explanation:
=> 62% = 62/100
=> 62/100 = 0.62
What is the value of x?
x20=58
A. 0.625
B. 2.5
C. 12.5
D. 32.0
Answers
The value of x is not one of the options listed. However, if we round to the nearest tenth, we get x = 2.9, which is closer to option B, 2.5. But none of the options match the exact value of x.
What is an arithmetic operation?
Arithmetic operations is a branch of mathematics, that involves the study of numbers, the operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication, and Division.
To solve for x, we need to isolate it on one side of the equation.
We can isolate x by dividing both sides of the equation by 20:
x(20) / 20 = 58 / 20
Simplifying:
x = 2.9
Therefore, the value of x is not one of the options listed. However, if we round to the nearest tenth, we get x = 2.9, which is closer to option B, 2.5. But none of the options match the exact value of x.
To learn more about the arithmetic operation visit,
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pls answer yessirrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr
Answers
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!
six hundred kilograms of tea were packed in 500 g packets. how many packets of tea were there?
Answers
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.
Solve the following equations and check your solution using substitution.
5−x=−2
(BTW can you show the working out for the question)
Answers
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
We can add the same quantity to both sides of the equations, and still have an equivalent equation. Let's add [tex]x+2[/tex] to both sides, then sum like terms
[tex]5-x +x+2 = -2 +x+2\\5+2 = x\\7=x[/tex]
(this is the rule that allows us to move items from one side do the other of the equal sign by changing its sign)
At this point we have a solution, let's replace it to verify
[tex]5-(7) = -2\\-2=-2[/tex]
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
Answers
Answer:
7.4 m it's because toes are yummy
Write the expression. Then, check all that apply.
a number cubed increased by four
Answers
Answer: C and B
Step-by-step explanation: because its rational.
-LearnWithBrainly
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.
Answers
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 pew research poll asked u.s. adults whether fathers today were doing as good a job of fathering as fathers of 20-30 years ago. the table shows their responses. if we select a respondent at random from this sample, what is the probability that the person responded "same" or "better"?
Answers
Using it's concept, it is found that there is a 0.4901 = 49.01% probability that the person responded "same" or "better".
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Researching the problem on the internet, it is found that 424 + 566 = 990 out of 2020 respondants said that they were doing the same or better, hence:
p = 990/2020 = 0.4901
0.4901 = 49.01% probability that the person responded "same" or "better".
More can be learned about probabilities at https://brainly.com/question/14398287
Evaluate f(2) for the function f(x)=5(x-3)+17
Answers
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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I need help will give 20 points
Answers
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!
Given the function f(x) = –0. 5|2x 2| 1, for what values of x is f(x) = 6? x = 6, x = –5 x = 5, x = –5 x = 7, x = –6 no solution.
Answers
There is no solution for the given function [tex]\rm f(x) = -0.5|2x+2|+1[/tex] when f(x) = 6 option fourth is correct.
It is given that the function [tex]\rm f(x) = -0.5|2x+2|+1[/tex]
It is required to find the values of x when f(x) = 6
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function.
We have a function:
[tex]\rm f(x) = -0.5|2x+2|+1[/tex]
And f(x) = 6
Putting the value of f(x) in the above equation, we get:
[tex]\rm 6 = -0.5|2x+2|+1[/tex] or
[tex]\rm -0.5|2x+2|+1= 6\\\\\rm -0.5|2x+2|= 6-1\\\\\rm -0.5|2x+2|+5\\\\\rm |2x+2|= \frac{5}{-0.5} \\\\\rm |2x+2|= -10[/tex]
Here we can see the mod function values is negative which is not possible, hence there is no solution for the above equation for any 'x'
Thus, there is no solution for the given function [tex]\rm f(x) = -0.5|2x+2|+1[/tex] when f(x) = 6.
Learn more about the function here:
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2a=11.4 a= b-5=7.2 b= 3.4+c =10 c= 5.7divided by d= 1.9 d=
Answers
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:)
Chris wants to create a rectangular rose garden in his yard. He has 40 meters of garden fencing to go around the garden and he has to use it all. Pick two different ways in which he could construct the garden.
Answers
Answer:
Dimension 1 = 12 x 8
Dimension 2 = 14 x 6
Chris should choose Dimension 1
Step-by-step explanation:
Perimeter of a rectangle = 2 × width + 2 × length
= 2(width + length)
Given:
perimeter = 40m⇒ 40 = 2(width + length)
⇒ width + length = 20 m
Therefore, possible dimensions:
Dimension 1 = 12 x 8 (as 12 + 8 = 20)Dimension 2 = 14 x 6 (as 14 + 6 = 20)We need to calculate the area of both choices. The choice with the greatest area will allow the most vegetables to be planted.
Area of Dimension 1 = 12 x 8 = 96 m²Area of Dimension 2 = 14 x 6 = 84 m²Therefore, Chris should choose Dimension 1 (12 x 8).
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?
Answers
Answer:
fgy8errrbtthy333eeeee[tex]x^{2} 33\pi \sqrt[n]{x} \int\limits^a_b {x} \, dx[/tex]r4g344myngívr3vh57744kpuiv2224gpo48
Step-by-step explanation:
uyrooou
What are the center and the radius of a circle with the equation (x + 5)² + (y - 4)² = 81
Answers
Step-by-step explanation:
We know that if the equation of the circle is (x-h)^2 + (y-k)^2 = r^2, it has a center of (h,k) and a radius of r.
Matching this up with the given equation, we get the center is (-5, 4) and the radius is 9.
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
Answers
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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What is the value of the expression 3+(8-4)x2-4
Answers
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
7A 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?
Answers
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.
can someone help me with this please
Answers
Answer:
40 ft^2
Step-by-step explanation:
Composite shapes make a square and rectangle
4 x 4 = 16
6 x 4 = 24
24 + 16 = 40
Answer:
24 unless my mind died
Step-by-step explanation:
8+16 :D
What is origin? Write down the coordinates of origin.
Answers
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
Brainliest if correct
Answers
Answer:
box 1 = 6,080
box 2 = 6,169
box 3 = 18,219
box 4 = 19,151
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
Answers
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
For the holiday blockbuster movie
premier, the Acme theater ran 16
showings for opening day. If each
theater room holds 115 people and each
showing was filled, how many people
viewed the movie on the first day?
A 99 people
B 131 people
c 1,725 people
D 1,840 people
Answers
Answer:
1 theater room holds 115 people, it says that each showing was filled so that means that there were 115 for every 1 showing. There were 16 showings, so you multiply 115 x 16 which equals to 1,840 people.
Which of the following two characteristics are typical features of a less-developed country? high percentage of employed population high percentage of the population engaged in agricultural activity lower life expectancy due to limited access to healthcare high literacy rate due to funds available for higher education high gross domestic product per capita
Answers
Answer:
two characteristics are typical features of a less-developed country are:-
2- High percentage of the population engaged in agricultural activity
3- Lower life expectancy due to limited access to healthcare
Step-by-step explanation:
1 -false
2- true
3- true
4- false
5- false
~Kandy~
hope this helped!
Brainliest please!