The recursive function is h(n) = -1/3h(n - 1) where h(0) = 63
How to complete the recursive function?The function is given as:
[tex]h(n) = 63* (-\frac{1}{3})^n[/tex]
Set n to 0
[tex]h(0) = 63* (-\frac{1}{3})^0[/tex]
Evaluate
h(0) = 63
This means that the function h(n) has the following parameters:
First term = 63
Rate = -1/3
Hence, the recursive function is h(n) = -1/3h(n - 1) where h(0) = 63
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I will give BRAINILEST
Answer:50%
Step-by-step explanation: there is no real answer to your question because 50%is not there
please help I need this
Answer:
the best answer is B
commending, is the act of praise or approval
C
Answer:
Why because u and the person sharing room, he or she is not slave to you. he or she do 50 percent and you 50 percent to keep peace in the room. steps why if the person say they are moving out then in that case who will clean the room
Identify an equation in slope-intercept form for the line parallel to y = 4x - 9
that passes through (-5,3).
O A. y = 4x - 23
ОВу
O B. y - 1x+45
4x
O c. y = 4x+23
O D. y= - 4x + 7
Answer:
c. y=4x+24
Step-by-step explanation:
To identify the equation, the equation must satisfy the points (-5,3).
putting x as -5 should give us y=3
c. y = 4x + 23
y = 4 * (-5) + 23
y = -20 + 23
y = 3
[tex]\rule{300}{1}\\\dashrightarrow\large\textsf{\textbf{\underline{Given question:-}}}[/tex]
Identify an equation in slope-intercept form for the line parallel to y = 4x - 9
that passes through (-5,3).
[tex]\dashrightarrow\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
If lines are parallel to each other, they have the same slope.
If a line is parallel to [tex]\bold{y=4x-9}[/tex], and the slope of this line is 4, then the slope of the line that's parallel to [tex]\bold{y=4x-9}[/tex] also has a slope of 4.
All right, we know the slope, but that's part of the slope-intercept equation,
We also need to identify the y-intercept; one way to find it (the one I always use) is the point-slope form.
Point-slope form looks like so:-
[tex]\longmapsto\sf{y-y_1=m(x-x_1)}[/tex]
Replace y1 with 3, m with 4, and x1 with -5:-
[tex]\longmapsto\sf{y-3=4(x-(-5)}[/tex]
On simplification,
[tex]\longmapsto\sf{y-3=4(x+5)}[/tex]
On further simplification,
[tex]\longmapsto\sf{y-3=4x+20}[/tex]
On further simplification,
[tex]\longmapsto\sf{y=4x+20+3}[/tex]
Final equation:-
[tex]\longmapsto\sf{y=4x+23}[/tex]
Good luck with your studies.[tex]\rule{300}{1}[/tex]
Three trains are made of identical train cars, so each car has the same number of seats. The first train has 418 seats, the second train has 456 seats, and the third train has 494 seats. How many cars are in each train if no train has more than 25 seats
If no train has more than 25 seats. Then the number of cars in the first, second, and third train will be 17, 18, and 20 respectively.
What is division?Division means the separation of something into different parts, sharing of something among different people, places, etc.
Three trains are made of identical train cars, so each car has the same number of seats.
The first train has 418 seats, the second train has 456 seats, and the third train has 494 seats.
If no train has more than 25 seats.
Then the number of the cars on each train will be
Let x, y, and z be the number of the cars in the first, second, and third train.
Then we have
x = 418 / 25
x = 16.75
x ≅ 17
y = 456 / 25
y = 18.24
y ≅ 18
z = 294 / 25
z = 19.76
z ≅ 20
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Answer:
11 cars in the 1st train, 12 cars in the 2nd train and 13 cars in the 3rd train
Step-by-step explanation:
There is a difference of 38 between the numbers 418, 456 and 494.
[tex]418/38=11\\456/38=12\\494/38=13[/tex]
Trust me, this is 100% the correct answer!
hope this helps!
The first two numbers in a sequence h are h(1)=2 and h(2)=6
If h is an arithmetic sequence, write a definition for the nth term of h explain or show your reasoning.
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The nth term of the arithmetic series can be defined as hₙ = 4n - 2.
What is an arithmetic sequence?An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:
a, a + d, a + 2d, ... , a + (n+1)d, ...
The nth term of an arithmetic sequence is given by the formula,
aₙ = a₁ + (n-1)d
Since the first term of the arithmetic sequence is 2, while the difference is 4. Therefore, the definition for the nth term of arithmetic sequence,h can be written as,
hₙ = 2 + (n-1)4
hₙ = 2 + 4n -4
hₙ = 4n - 2
Hence, the nth term of the arithmetic series can be defined as hₙ = 4n - 2.
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x/13 - 1 = 5x/2 + 1/2
please answer the question pls pls pls pls
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
the given expression can be solved as follows ~
[tex] \frac{x}{13} - 1 = \frac{5x}{2} + \frac{1}{2} \\ [/tex]
taking LCM both the sides ,
[tex] \frac{x - 13}{13} = \frac{5x + 1}{2} \\ [/tex]
on cross multiplying ,
[tex](x - 13)2 = (5x + 1)13 \\ \\ \implies \: 2x - 26 = 65x + 13[/tex]
let's now gather the like terms at either sides of the equation ~
[tex]65x - 2x = - 26 - 13 \\ \\ \implies \: 63x = - 39 \\ \\ \implies \: x = \frac{\cancel{ - 39}}{\cancel{63}} [/tex]
on simplifying the equation ,
[tex] \implies \frac{-13}{21}\\[/tex]
hope helpful ~
Helpppppppppp meeeeeee pleaseeeeeeeee
Answer:
If you are rounding to the nearest tens the smallest number is 45. If you are rounding to the nearest whole number, the smallest number is 49.5
Answer:
49 and 51
Hope it helps
40% of the cars in a parking lot were american made cars. if there are 60
american made cars in the parking lot, how many cars are in the lot?
there are "x" amount of cars in the lot, and oddly enough that's 100%, if we know that 60 is 40% of that, what is "x"?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 60& 40 \end{array} \implies \cfrac{x}{60}=\cfrac{100}{40}\implies \cfrac{x}{60}=\cfrac{5}{2} \\\\\\ 2x=300\implies x=\cfrac{300}{2}\implies x=150[/tex]
A container holds 4800 cubic inches of waste. The dimensions of the container are tripled. How many cubic feet
of waste does the new container hold?
This is a 3-D container and the dimensional factor is F=3. The volume increases by a factor of 33 = 27.
The answer is 4608 x 27 / 123 = 72
14. Which of the following is true about given APQR given in Figure 7.82 to the right? a. p²+q²=² b. q²+r²=p² c. (p+q)²=r² d. p²+r²=q² Q P R T 9 Figure 7.82 P
Which graph represents the polynomial function f(x)=x^3+x^2−2x
By finding the roots of the polynomial, we conclude that the correct graph is the second one.
Which is the graph of the polynomial?
Here we have the polynomial:
[tex]f(x) = x^3 + x^2 - 2x[/tex]
To identify it, we need to find the roots, we can rewrite the equation as:
[tex]f(x) = x*(x^2 + x - 2)[/tex]
And we can rewrite the last part by using the Bhaskara's formula:
[tex]x = \frac{-1 \pm \sqrt{1^2 + 4*2} }{2} \\\\x = (-1 \pm 3)/2[/tex]
Then the roots are:
x = -2
x = 1
Then we rewrite:
[tex]f(x) = x*(x + 2)*(x - 1)[/tex]
So the roots are at x = 0, x = -2, and x = 1.
The graph with these roots is the second graph (top right).
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Find the perimeter of the triangle
Answer:
38cm
Step-by-step explanation:
set 3x-5 and 19-x equal to eachother, since, given as its an isoscles triangle, they should be equal. After you work out the equation, you're left with x=6. So now you plug that it.
3(6)-5=13
19-(6)=13
2(6)=12
Now you add them all together, so the perimeter is 38 cm.
Plsss helppp its worth 20 points
Answer:
a. sides BC & EF
b. <A & <D
2a. A / B, not that sure
HELP NOW PLEASEE
h(x)=x^(2)+x+9
find h (-2)
find h (4)
and find h (0)
Answer:
11, 29, 9
Step-by-step explanation:
substitute x = - 2, 4, 0 into h(x)
h(- 2) = (- 2)² + (- 2) + 9 = 4 - 2 + 9 = 2 + 9 = 11
h(4) = 4² + 4 + 9 = 16 + 4 + 9 = 29
h(0) = 0² + 0 + 9 = 0 + 0 + 9 = 9
Help? It’s for scantron and I have to exempt
Answer:
A. Red/Line C
Step-by-step explanation:
A ramp rises 3.5 feet & has an angle of elevation
of 24 degrees. How long is the ramp?
Check the picture below.
Make sure your calculator is in Degree mode.
please help.... thank you
Answer:
going from left to right
1. 1/2
2. 3/4
3. 1 1/4
4. 1 1/2
5. 1 3/4
6. 2 1/2
7. 2 3/4
8. 3 1/2
9. 3 3/4
since 1/2 is > 1/4
and 3/4 is > 1/2
whenever you have a number in front of a fraction, it goes between the number it is (say 3) and the number after (4)
hope this helps:)
Anyone know the value of x for these
Which step requires revision, and how should it be corrected?
OA. In step 1, the compass width should be set to the length of BC.
B.
In step 2, the fixed part of the compass should be placed at point C.
O. C.
In step 3, the fixed part of the compass should be placed at point C.
OD.
In step 4, it should say to complete step 3 six more times.
The step that requires revision is step 1: set the compass width to the diameter of the circle
How to determine the error in the steps?When a regular hexagon is to be inscribed in a circle, the first step is to place the compass on the circumference of the circle and create an arc.
On no occasion should the width of the compass equal the diameter of the circle.
The step 1 in the question shows that the compass width is set to the diameter of the circle.
This is wrong, and it needs to be revised.
Hence, the step that requires revision is step 1 and the correction is (a) In step 1, the compass width should be set to the length of BC.
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What is the product? assume x greater-than-or-equal-to 0 (startroot 3 x endroot startroot 5 endroot) (startroot 15 x endroot 2 startroot 30 endroot)
The product of the expression assuming x greater-than-or-equal-to 0 is; (30x√30).
What is the product of the expression?The product of the expression assuming the fact that x greater-than-or-equal-to 0 can be evaluated as follows;
(√(3x) × √5) (√15x × 2√30)
(√15x × 2√450x)
(2√6,750x²)
(30x√30)
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please solve this for me ASAP
The correct answer is thermoelectric generator because it transfers heat to electricity directly or converts electrical energy to thermal power for heating or cooling.
What is a thermoelectric generator?Thermoelectric generators are semiconductor solid-state devices that convert a temperature difference and heat flow into a usable DC power source.
The Seebeck effect is used to create voltage in thermoelectric generator semiconductor devices. This voltage is used to drive electrical current and generate usable power at a load.
From the statement given, it is a thermoelectric generator because a thermoelectric power generator transfers heat to electricity directly or converts electrical energy to thermal power for heating or cooling.
Thus, the correct answer is thermoelectric generator because it transfers heat to electricity directly or converts electrical energy to thermal power for heating or cooling.
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A landscape architect used the entire length of an 80-foot rope to lay out a flower bed in the shape of a square. In another area, he used the entire length of the same rope to lay out a second flower bed in the shape of a circle. (Drawings not to scale.)
What is the area of the square?
What is the area of the circle? Round your answer to the nearest square foot?
Which shape should the landscape architect recommend to a client who wants the largest possible area for an 80-foot rope?
A.
Square
B.
Circle
Answer: The area of the square is 400sqf.
Answer 2: Area of circle = 509.31 square feet.
Answer 3: The circle because the circle's are is larger
Answers:
Area of the square = 400 square feetArea of the circle = 509 square feetRecommended shape with largest area = Circle==========================================================
Explanation:
The rope forms the perimeter of each shape. This is the distance around the outer edges.
The square has all four sides the same length. Since we have 80 feet of rope, each side must be 80/4 = 20 feet long.
The area of the square is 20*20 = 400 square feet.
--------------
The circle has a circumference of 80 feet, which leads to a radius of...
C = 2*pi*r
r = C/(2pi)
r = 80/(2pi)
r = 12.732395
which is approximate. I used my calculator's stored version of pi so I could get the most accuracy possible.
Then use this to find the area of the circle
A = pi*r^2
A = pi*(12.732395)^2
A = 509.295782
This value is also approximate.
When rounding to the nearest whole number, we get A = 509
The area of the circle is about 509 square feet.
The circle has the largest area.
HELP!! Which kind of triangle is shown?
(100 points) Match each ordered pair on the left with the functions on the right
Answer:
(6, 1) ⇒ y = 2/4x - 2
(-8, -0.8) ⇒ y = 3/5x + 4
(9, 0.7) ⇒ y = 3/10x - 2
(2, 7.4) ⇒ y = 1/5x + 7
Step-by-step explanation:
Let's substitute each pair in the equations to find the right one :
(6, 1)
⇒ 1 = 2/4 (6) - 2
⇒ 1 = 3 - 2
⇒ 1 = 1
⇒ Equation matched √
(6, 1) ⇒ y = 2/4x - 2
(-8, -0.8)
⇒ -0.8 = 1/5 (-8) + 7
⇒ -0.8 = -8/5 + 7
⇒ -0.8 = -1.6 + 7
⇒ -0.8 = 5.4
⇒ Incorrect equation ×
⇒ -0.8 = 3/5 (-8) + 4
⇒ -0.8 = -24/5 + 4
⇒ -0.8 = -4.8 + 4
⇒ -0.8 = -0.8
⇒ Equation matched √
⇒ (-8, -0.8) ⇒ y = 3/5x + 4
(9, 0.7)
⇒ 0.7 = 3/10 (9) - 2
⇒ 0.7 = 27/10 - 2
⇒ 0.7 = 2.7 - 2
⇒ 0.7 = 0.7
⇒ Equation matched √
⇒ (9, 0.7) ⇒ y = 3/10x - 2
(2, 7.4)
⇒ 7.4 = 1/5 (2) + 7
⇒ 7.4 = 2/5 + 7
⇒ 7.4 = 0.4 + 7
⇒ 7.4 = 7.4
⇒ Equation matched √
⇒ (2, 7.4) ⇒ y = 1/5x + 7
In triangle abc, measure of angle a = 90 degrees and line an is an altitude. if ab = 20 in. and ac = 15 in., find bc, bn, nc, an
Answer:
BC = 25 in
AN = 12 in
BN = 16 in
NC = 9 in
Formulas:
Pythagorean Theorem
[tex]c^2 = a^2 + b^2[/tex]
c ... hypotenuse
a ... one leg
b ... another leg
Pythagorean theorem is used in right triangles (triangles in which one angle is 90°).
Area of triangle
[tex]A = \frac{1}{2}bh[/tex]
A ... area of triangle
b ... base (one of the sides of the triangle)
h ... height perpendicular to base
Step-by-step explanation:
Given:
A = 90°
AB = 20 in
AC = 15 in
See attached picture.
1) BC
To find BC we can use Pythagorean theorem, since ABC is a right triangle. We have the lengths of two legs (AB, AC) and we are finding the hypotenuse.
[tex]c^2 = a^2 + b^2\\\text{BC}^2 = \text{AB}^2 + \text{AC}^2\\\text{BC}^2 = 20^2 + 15^2\\\text{BC}^2 = 625\\\sqrt{\text{BC}^2} = \sqrt{625}\\\text{BC} = 25 \text{ in}[/tex]
2) AN
AN is the height corresponding to base BC. To find it we can use formula for the area of the triangle. But first let's find the area of the triangle.
Notice how AB is perpendicular to AC. We can use AB as base and AC as height.
[tex]A = \frac{1}{2}bh\\\\A = \frac{1}{2} \times \text{AB} \times \text{AC}\\\\A = \frac{1}{2} \times 20 \times 15\\\\A = 150 \text{ in}^2[/tex]
Now that we have area, we can use BC as base and AN as height and solve for AN.
[tex]A = \frac{1}{2}bh\\\\A = \frac{1}{2} \times \text{BC} \times \text{AN}\\\\150 = \frac{1}{2} \times 25 \times \text{AN}\\\\\ 300 = 25 \times \text{AN}\\\\12 = \text{AN}\\\\\text{AN} = 12 \text{ in}[/tex]
3) BN
Let's use Pythagorean theorem in right triangle ABN. Hypotenuse is AB.
[tex]c^2 = a^2 + b^2\\\text{AB}^2 = \text{AN}^2 + \text{BN}^2\\20^2 = 12^2 + \text{BN}^2\\400 = 144 + \text{BN}^2\\256 = \text{BN}^2\\\sqrt{256} = \sqrt{\text{BN}^2}\\16 \text{ in} = \text{BN}[/tex]
4) NC
We know the lengths of BC an BN, so we can just subtract.
[tex]\text{NC} = \text{BC} - \text{BN}\\\text{NC} = 25 - 16\\\text{NC} = 9 \text{ in}[/tex]
Calculator
What is the length
YX₂
Enter your answer as a decimal in the box. Round your final
answer to the nearest hundredth.
m
of
9m
19 m
A•
X
N
Answer:
1. You can solve this problem by applying the Tangent Secant Theorem. Then, you have:
YX²=(YZ)(YV)
YX=√(YZ)(YV)
YZ=9+19
YV=9
2. When you substitute the values of YZ and YV into YX=√(YZ)(YV), you obtain:
YX=√(YZ)(YV)
YX=√(9+19)(9)
YX=√(28)(9)
YX=√252
YX=15.87
What is the length of YX?
The answer is: The lenght of YX is 15.87
Between which two consecutive whole numbers does \sqrt{37}
37
lie? Fill out the sentence below to justify your answer and use your mouse to drag \sqrt{37}
37
to an approximately correct location on the number line.
Natural numbers are those that can be counted and ordered. The two consecutive whole numbers between which √37 lies are 6 and 7.
What are natural numbers?Natural numbers are those that can be counted and ordered. Cardinal numbers are those used for counting, while ordinal numbers are those used for ranking.
The value of √37 is equal to 6.0827 units. Therefore, the two consecutive whole numbers between which √37 lies are 6 and 7.
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How many times can you subtract the number five from 25.
Answer:
one time
Step-by-step explanation:
because after that you would subtract by 20
Can the volume of a cone with the same size base as a cylinder ever have a bigger volume? Explain
Answer:
No, because if a cone and a cylinder have bases with equal areas, and both have identical heights, then the volume of the cone is one-third the volume of the cylinder.
Which graph shows the solution to the system of linear inequalities?
2x – 3y <12
y < –3
On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything below the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything below the line is shaded.
On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything above the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything above the line is shaded.
On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything below the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything above the line is shaded.
On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything above the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything below the line is shaded.
The statement third is correct, which is the first dashed straight line is horizontal to the y-axis at y = -3. Everything below the line is shaded.
The second solid line has a positive slope and goes through (0, - 4) and (3, -2). Everything above the line is shaded.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
We have two inequality:
2x – 3y <12
y < –3
If we draw these two inequalities on the graph, we will see:
On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything below the line is shaded.
The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything above the line is shaded.
Thus, the statement third is correct, which is the first dashed straight line is horizontal to the y-axis at y = -3. Everything below the line is shaded.
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