Answers
Answer:
14,11,8
Step-by-step explanation:
If f(1)= 17
and f(n)= f(n-1) -3
f(2)= f(2-1)-3
f(2)=f(1)-3
f(2)=17-3
f(2)=14
f(3)=f(3-1)-3
f(3)=f(2)-3
f(3)=14-3
f(3)=11
f4)=f(4-1)-3
f(4)=f(3)-3
f(4)=11-3
f(4)=8
Answer:
14, 11, 8
Step-by-step explanation:
Given recursive formula:
[tex]\begin{cases}f(1)=17\\f(n)=f(n-1)-3\end{cases}[/tex]
A recursive formula for an arithmetic sequence allows you to find the nth term of the sequence f(n) provided you know the value of the previous term in the sequence f(n-1).
Therefore, the next 3 terms in the sequence are:
[tex]\begin{aligned}\implies f(2) & =f(2-1)-3\\& = f(1)-3\\& = 17-3\\& = 14\end{aligned}[/tex]
[tex]\begin{aligned}\implies f(3) & =f(3-1)-3\\& = f(2)-3\\& = 14-3\\& = 11\end{aligned}[/tex]
[tex]\begin{aligned}\implies f(4) & =f(4-1)-3\\& = f(3)-3\\& = 11-3\\& = 8\end{aligned}[/tex]
Related Questions
Can someone help me please!!?
Answers
Answer:
AB=21
Step-by-step explanation:
14 is to (14 +12) as AB is to (AB + 18)
14 / 26 = AB / (AB+18) <===== cross multiply
14 (AB + 18) = 26 AB
AB = 21
How do you solve 2. 310x/4y times 8y/5x =
Answers
Answer: 0.924
Step-by-step explanation:
Given
[tex]\frac{2.310x}{4y} *\frac{8y}{5x}[/tex]
Simplify [tex]\frac{2.310x}{4y}[/tex] to [tex]\frac{0.5775x}{y}[/tex]
[tex]\frac{0.5775x}{y}*\frac{8y}{5x}[/tex]
Cancel y
[tex]0.5775x* \frac{8}{5x}[/tex]
Cancel x
[tex]0.5775* \frac{8}{5}[/tex]
Use the rule, [tex]a*\frac{b}{c} =\frac{ab}{c}[/tex]
[tex]\frac{0.5775*8}{5}[/tex]
Simplify
[tex]\frac{4.62}{5}[/tex]
Simplify
0.924
We have a shape that has an area of 112 inches squared. Convert the units to centimeters squared. (HINT: Perform multiple conversions). Don’t forget to show your work.
Answers
Answer:
722.5792 cm²
Step-by-step explanation:
1 in ≈ 2.54 cm
Squaring both sides:
⇒ (1 in)² ≈ (2.54 cm)²
Apply exponent rule (ab)² = a²b²
⇒ (1)² in² ≈ (2.54)² cm²
⇒ 1 in² ≈ 6.4516 cm²
Therefore, to convert an area measured in inches squared to centimeters squared, multiply by 6.4516:
⇒ 112 in² ≈ (112 × 6.4516) cm²
= 722.5792 cm²
given g(x)= cubed root of x-5,on what interval is the function negative?
a. (-infinity,-5)
b. (-infinity,5)
c. (-5,infinity)
d. (5,infinity)
Answers
The cube root function is negative on the interval (-∞, 5), so the correct option is b.
When the function is negative?
Here we have the cube root function:
g(x) = ∛(x - 5)
This is a cube root, and it is negative when the argument is negative. So the function will be negative for the values of x such that:
x - 5 < 0
x < 5
So, we can say that on the interval: (-∞, 5) the function g(x) is negative. Then the correct option is b.
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1/2 of 4/5 as a fraction
Answers
Answer:
4/10 is the answer
4 / 10 = 2 / 5
K is the midpoint of JL if JK =10x and KL = x + 9 what is KL
Answers
Answer:
Step-by-step explanation:
JL = JK + KL
JL = 10x + x + 9
JL = 11x + 9.
PLSS I NEED HELP!!
1). To make a full rotation, 59 days, 19 h, and 45 min goes by for Mercury. It only takes Earth 1 day! How many hours does it take Mercury to complete a full rotation? Show your work using the correct conversion factors.
2). Some plants grow quickly. An invasive weed species can grow quickly. One variety grows up to 0.89 ft per day. How fast in inches per hour can this weed grow? Show your work using the correct conversion factors.
3). David’s watch broke. He decides to get it fixed instead of replacing it. The total cost to repair the watch can be represented by 0.07(45h) + 45h, where h represents the number of hours it takes to repair the watch.
a). What part of the expression represents the cost of the repair before tax?
b) Explain what your answer in Part A means in the context of the problem.
Answers
1) It takes 1435.75 hours for Mercury to complete a full rotation.
2) The weed can grow at 0.445 inches per hour.
Time calculation1) Given that to make a full rotation, 59 days, 19 h, and 45 min goes by for Mercury, to determine how many hours does it take Mercury to complete a full rotation, the following calculation must be performed:
59 x 24 + 19 + 0.75 = X1416 + 19.75 = X1435.75 = X2) Given that a plant grows up to 0.89 ft per day, to determine how fast in inches per hour can this weed grow, the following calculation must be performed:
0.89 / 24 = ft per hour0.037 = ft per hour1 ft = 12 inches0.037 x 12 = 0.445Learn more about time calculation in https://brainly.com/question/14695611
Answer:
1) It takes 1435.75 hours for Mercury to complete a full rotation.
2) The weed can grow at 0.445 inches per hour.
Step-by-step explanation:
Find the area of the window.
Answers
Answer:
2512
Step-by-step explanation:
Formula=πr^2/2
(3.14×40×40)/2
=2512
What is the range of the given function?
{(-2, 0), (-4, -3), (2, -9), (0, 5), (-5, 7)}
{x | x = -5, -4, -2, 0, 2}
{y l y = -9, -3, 0, 5, 7}
O (x | x = -9, -5, -4, -3, -2, 0, 2, 5, 7}
O tyl y = -9, -5, -4, -3, -2, 0, 2, 5, 7}
Answers
Answer:
{-9, -3, 0, 5, 7}
Step-by-step explanation:
Well, you already have the relation of the function. The domain of a function are its x coordinates and the range are all the y coordinates:
0, -3, -9, 5, 7
We write them in ascending order:
-9, -3, 0, 5, 7
And this way we get the range
It is important to check if the coordinates you are given can form a function. In this case they do, but in other cases they might not.
If you have coordinates where for example there are two equal values of x but the y is different in both, for example (1, 2) and (1, 5), this cannot be a function because y can be on two possible destinations for the same value of x.
Eliminate the parameter.
x = 5t, y = t + 8 (2 points)
Answers
Answer: y = [tex]\frac{1}{5}[/tex]x + 8
Step-by-step explanation:
This is asking us to remove the parameter. In other words, we want an equation with only the relation between x and y, so we need to remove the t. There are a few ways to do this, but I am going to set one equation equal to t and then plug it into the next one.
Given:
x = 5t
Divide both sides of the equation by 5:
t = [tex]\frac{1}{5}[/tex]x
-
Given:
y = t + 8
Plug in:
y = ([tex]\frac{1}{5}[/tex]x) + 8
Answer:
y = [tex]\frac{1}{5}[/tex]x + 8
Two sides of a parallelogram are 170 feet and 650 feet. The measure of the angle between these sides is 113°. Find the area of the parallelogram to the nearest square foot.
Answers
The area of the parallelogram is equal to 101716 ft².
QuadrilateralsThere are different types of quadrilaterals, for example: square, rectangle, rhombus, trapezoid and parallelogram. Each type is defined accordingly to its length of sides and angles. For example, the opposite sides of a parallelogram are equal and parallel.
Parallelogram AreaYou can find the parallelogram area from two formulas:
A=b * h , where b=base and h=height;A= a*b* sin(Θ), where a=side 1, b=side 2 and Θ=angle between the sides;The question gives: the length of both sides (170 ft and 650 ft) of the parallelogram and the angle between these sides (113°).
Thus, you can apply the formula: A= a*b* sin(Θ). Therefore:
A= 170 * 650* sin (113°)
A=101716 ft²
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Suppose you are interested in studying whether temperature affects spatial reasoning abilities. You decide to test spatial reasoning using completion time scores for the paper-folding test with five people, repeating the test on each person with three different temperatures (40 degrees, 60 degrees, and 80 degrees Fahrenheit).
In this experiment, the null hypothesis is that:
a. There are no differences in the mean completion times among the temperatures compared
b. There are no individual differences in the completion time means
c. The completion time mean for at least one temperature is different from another
The factor of interest is the ____________, and the dependent variable is the ___________
Answers
The null hypothesis in this situation is "There are no differences in the mean completion times among the temperatures compared".
What is a null hypothesis?This is a hypothesis that states the independent variable or factor being studied has not effect on the dependent variable.
This implies the temperature has no effect on the completion times of the paper-folding test.
What is the factor of interest?It is the effect of temperature because this is the factor being manipulated on purpose.
What is the dependent variable?This refers to the factor being studied, in this case, these are the spatial reasoning abilities, which are tested through a specific test.
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What is the 30th term of the following arithmetic sequences
17, 21, 25, ...
Answers
Answer:
133
Step-by-step explanation:
an = a1 + f × (n-1)
an= 17+4 x (30-1)
an= 17+4 x 29
an= 17+116
an=133
Find the area of a circle with a radius of 21 inches. Use 22/7 for pi .
Answers
Answer:
okay so the area is 1386inches2
Step-by-step explanation:
[tex]area \: of \: a \: circle = \pi {r}^{2} \\ = \frac{22}{7} \times {21}^{2} \\ = \frac{22}{7} \times 441 \\ = 1386 {inches}^{2} [/tex]
Line t is tangent to the circle. Find the measure of arc DEF.
Answers
Answer: 234 degrees
Step-by-step explanation:
Angle formed by a chord and a tangent has half the measure as the arc formed by the chord
The value of measure of arc DEF is,
⇒ 234 degree
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
Line t is tangent to the circle.
Hence, We know that;
The angle formed by a chord and a tangent is equal to 1/2 the measure of the intercepted arc.
Thus, The value of measure of arc DEF is,
⇒ 2 x 117 degree
⇒ 234 degree
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how much would $500 invested at a 4% interest compounded continuosly be worth after 7 years round your answer to the nearest cent
Answers
Answer: F = 661.56
Step-by-step explanation: interest formula: F = Pe^(rt)
F = future value
P = present value = 500
r = interest rate = 0.04
t = years = 7
F = 500e^(0.04 * 7)
Find the missing side of the right triangle.
options:
6.5 ft
7 ft
5.5 ft
6 ft
Answers
Answer:
6ft, the missing side is the base(b), 10ft is the hypotenuse(h) and 8ft is the perpendicular(p). The formula for base is root over h²-p² and root over 10²-8² equals 6.
Find the surface area of a square pyramid with side length 3 cm and slant height 4 cm
Answers
Answer:
Image result for Find the surface area of a square pyramid with side length 3 cm and slant height 4 cm
The surface area of a square pyramid is the sum of the areas of all its 4 triangular side faces with the base area of the square pyramid. If a, h, and l are the base length, the height of the pyramid, and slant height respectively, then the surface area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .
Step-by-step explanation:
What is the approximate area of the shaded region?
Use 3.14 for pi
12.6 units
28.3 units
50 2 units
78.5 units
Answers
Answer:
A
Step-by-step explanation:
what is 1,455.8 x 4,628.9?
Answers
Answer:
6738752.62
Step-by-step explanation:
1,455.8 x 4,628.9=6738752.62
Answer:
6738752.62
hope this helps
Write an expression that is equivalent to 110% of a quantity, n
Answers
Answer:
[tex]\displaystyle 1\frac{1}{10}n[/tex]
Explanation:
Convert [tex]\displaystyle 110\%[/tex]to a mixed number, then set [tex]\displaystyle n[/tex]up next to it.
I am joyous to assist you at any time.
Find YW, would it just be 6?
Answers
Answer:
6
Step-by-step explanation:
AX=1/2XY,. BX=1/2WX
=) AB||WY and AB=1/2WY. [Midpoint theorem]
=) 2AB=WY
=) 2×3=WY
=)6=WY
PLA MARK IT AS BRAINLIEST (•‿•)(•‿•)(•‿•)
This works for triangles with a Midline having two of these properties:
The midline should be parallel to the third sideThe midline is half as long as the third sideThe third side of the triangle (the one parallel to its midline) is twice the length of its midline.
Example:The given question above:
ΔWYX
(Midline) AB = 3
YW = ?
Solution:
[tex]\frac{1}{2}[/tex] YW = AB
[tex]\frac{1}{2}[/tex] YW = 3
YW = (2)3
YW = 6
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The owner of a food cart sells an average of 60 frozen treats per day during the summer. Which graph best shows the relationship between the number of days and the number of frozen treats sold?
A) A
B) B
C) C
D) D
Answers
Answer:
Answer is D
Step-by-step explanation:
Day 1 = 60
Day 2 = 120
Day 3 = 180
Day 4 = 240
Day 5 = 300
Day 6 = 360
Day 7 = 420
Day 8 = 480
The graph D will show the best relationship between the number of days and the number of frozen treats sold.
What is graph?In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.
It is given that he sells 60 frozen treats per day so everyday the frozen treats are multiplied by 60.
We can see the linear relationship between frozen treats and number of days.
Day 1 - 60
Day 2 - 120
Day 3- 180
Day 4- 240
Day 5- 300
Day 6- 360
Day 7- 420
Day 8- 480
Hence the graph D will show the best relationship between the number of days and the number of frozen treats sold.
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The following function represents the production cost f(x), in dollars, for x number of units produced by company 1:
f(x) = 0.15x2 − 6x + 400
The following table represents the production cost g(x), in dollars, for x number of units produced by company 2:
Answers
The function of the production cost is a quadratic function, and the maximum production cost of the company is $340
How to determine the maximum production cost of the company?The function of the production cost is given as:
f(x) = 0.15x² - 6x + 400
Differentiate the function
f'(x) = 0.3x - 6
Set the function to 0
0.3x - 6 = 0
Add 6 to both sides
0.3x = 6
Divide both sides by 0.3
x = 20
Substitute x = 20 in f(x) = 0.15x² - 6x + 400
f(20) = 0.15 * 20² - 6 *20 + 400
Evaluate
f(20) = 340
Hence, the maximum production cost of the company is $340
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what is the area of a trapezoid with coordinated (0.0), (1,3), (4,3), (2,0)? (no picture given)
a. 2
b. 6
c. 9
d. 8
Answers
The area of the trapezoid, to the nearest whole number is: D. 8 units²
What is the Area of a Trapezoid?Area of trapezoid = 1/2(a + b)h, where:
h = height of trapezoida and b = lengths of the bases of the trapezoid.Using the coordinates of the trapezoid, (0,0), (1,3), (4,3), (2,0), the points have been plotted on a coordinate plane as shown in the image attached below, and we have the following dimensions of the trapezoid:
h = 3 unitsa = 3 unitsb = 2 unitsArea of the trapezoid = 1/2(a + b)h = 1/2(3 + 2)3
Area of the trapezoid = 7.5 ≈ 8 units²
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Study the image.
Make a personal connection to the photo. In three to five sentences, write a short essay that explains what type of lighting setup was used and what this image makes you think about. Use specific details in describing what the photo reminds you of personally.
Answers
Answer:
he is on high depression
he is so success ful guy
he makes an advertisement of some thing
he advertises watch
he see going to be a future doing on his life
3 1/4 - 1 3/5 | please help !!
Answers
Answer:
Step-by-step explanation:
Step: 1: Convert mixed fraction to improepr fraction.
Step: 2 : Find the LCM of 4 , 5 = 20
Step 3: Find equivalent fractions with denominator as 20
Step 4: Now subtract.
[tex]3\dfrac{1}{4}-1\dfrac{3}{5}=\dfrac{13}{4}-\dfrac{8}{5}[/tex]
[tex]\sf = \dfrac{13*5}{4*5}-\dfrac{8*4}{5*4}\\\\\\ = \dfrac{65}{20}-\dfrac{32}{20}\\\\\\ = \dfrac{65-32}{20}\\\\\\ = \dfrac{33}{20}\\\\ \\ = 1 \dfrac{13}{20}[/tex]
can someone explain this pls
brainliest
Answers
A triangular swimming area is marked off by a rope.
a. If a woman swims around the perimeter of the swimming area, how far will she swim?
b. What is the area of the roped off section?
Answers
#a
Perimeter=Sum of sides
400+200√6+200+200√3600+200(√6+√3)600+200(2.6+1.7)600+200(4.3)600+8601460m#b
Area:-
1/2×Base×Height1/2(200+200√3)(200√3)(200+200(1.7))100√3(200+340)(170)540(170)91800m²Answer:
Perimeter = 1436.3 m (nearest tenth)
Area = 94641.0 m² (nearest tenth)
Step-by-step explanation:
The perimeter is the sum of the lengths of all the sides.
[tex]\begin{aligned}\sf \implies perimeter & =400+200\sqrt{6}+200\sqrt{3}+200\\ & =1436.30811\\ & = 1436.3 \: \sf m\:(nearest\:tenth)\end{aligned}[/tex]
[tex]\begin{aligned}\textsf{Area of a triangle} & =\sf \dfrac12 \times base \ height\\ & = \sf \dfrac12 \times (200+200\sqrt{3}) \times 200\sqrt{3}\\ & =94641.01615\\ & = 94641.0\: \sf m^2\:(nearest\:tenth)\end{aligned}[/tex]
Answer number 3 pleaseee
Answers
Answer:B=24 in²
B'=12 in²
B^=6 in²
I think the answer is B
Step-by-step explanation: I put the explaination with the answer
Answer:
C
Step-by-step explanation:
24 × 1/2 = 12
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