Answers
The value of f(5) is 4375.
What is function?An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given:
f(1)= 7,
f(n) = 5f(n-1)
f(2) = 5f(1)
=5*7
f(2)= 35
f(3) = 5f(3-1)
f(3) = 5f(2)
f(3) = 5*35
f(3) = 175
f(4) = 5f(4-1)
f(4) = 5f(3)
f(4) = 5*175
f(4) = 875
f(5) = 5f(5-1)
f(5) = 5f(4)
f(5) = 5*875
f(5) = 4375
Hence, the value of f(5) is 4375.
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Related Questions
Given the figure above, if m ABC = 68° and m_BCA = 90°, answer the following:
Part I: Find the m DCE.
Part II: Explain the steps you took to arrive at your answer. Make sure to identify any
theorems, postulates, or definitions used to justify your answer.
Answers
I HOPE IT WILL HELP YOU.
Thank you.
^ - ^
plz explain in a paragraph to get brainliest
Answers
Answer:
500 people took the survey.
Step-by-step explanation:
12 divided by 3 is 4 and 15 divided by 3 is 5. that means 4 of every 5 people prefer restaurants. Multiply that by 100 and you get 400 of every 500 people prefer restaurants. Hope this helps!
answer this guys i will give brainliest! have a good day !!!
Answers
The ratios are;
Sin θ = 5/6
Cos θ = √11/6
Tan θ = 5√11/11
Sec θ = 6√11/11
Cosec θ = 6/5
Cot θ = √11/5
What are the six trigonometric ratios?These trigonometric ratios are used to relate the angles of a right triangle to the lengths of its sides
We can see that the hypotenuse is obtained from;
x =√\((10)^2 + (2\sqrt{} 11)^2\)
x = √100 + 44
x = 12
Then;
Sin θ = 10/12 = 5/6
Cos θ = 2√11/12
= √11/6
Tan θ = 10/2√11
= 20√11/44
= 5√11/11
Sec θ = 1/Cos θ
= 6/√11
= 6√11/11
Cosec θ = 1/Sin
θ = 6/5
Cot θ = 1/tan θ
= 11/ 5√11
= 55√11/275
= √11/5
Sinβ = 2√11/12
= √11/6
Cos β = 10/12
= 5/6
Tan β = 2√11/10
= √11/5
Sec β = 6/5
Cosec β = 6√11/11
Cot β = 5√11/11
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pls answer the question attached
Answers
\(\huge\mathfrak{\underline{answer:}}\)
\(\large\bf{\angle ACD = 105°}\)
__________________________________________
\(\large\bf{\underline{Here:}}\)
BCD is an isosceles right triangle , right angled at DABC is an equilateral triangle\(\large\bf{\underline{To\:find:}}\)
∠ ACD\(\large\bf{In\: triangle\:ABC:}\)
❒ Sum of all angles is 180° , since it is an equilateral triangle all the three angles would be same
\(\large\bf{\underline{So}}\)
\(\bf{⟼\angle ACB = \frac{180}{3}}\)
\(\bf{⟼\angle ACB = 60°}\)
\(\large\bf{In\: triangle\:BDC}\)
\(\bf{⟼\angle D = 90°}\)
\(\bf{⟼\angle DBC =\angle DCB }\)(Isosceles triangle)
\(\bf{⟼\angle DBC + \angle BDC + \angle DCB = 180° }\)
\(\bf{⟼2\angle DCB + 90° = 180°}\)
\(\bf{⟼2\angle DCB = 180 -90}\)
\(\bf{⟼\angle DCB = \frac{90}{2}}\)
\(\bf{⟼\angle DCB = 45°}\)
\(\large\bf{\underline{Therefore,}}\)
\(\bf{⟹\angle ACD = \angle ACB + \angle DCB}\)
\(\bf{⟹\angle ACD = 60+45}\)
\(\large\bf{⟹\angle ACD = 105°}\)
Lengths
4, 16, 14
4, 8, 9
14.7, 11.3, 3.4
7, 6, 5
Can be side lengths
of a triangle
Cannot be side
lengths of a triangle
X
S
Answers
The set of length which can be a triangle are:
4, 16, 14 4, 8, 97, 6, 5Triangle inequality theoryAll you have to do is use the triangle inequality theorem, which states that the sum of the lengths of the two sides of a triangle is always greater than the third. If all three combinations are true, you get a triangle.
a + b > c a + c > b b + c > aWe must check one by one
4, 16, 144+14 >16.
4+16>14
16+14>4
4, 8, 94+8=>9
4+9>8
9+8>4
14.7, 11.3, 3.411.3+3.4= 14.7
7, 6, 56+5>7.
6+7>5
7+5>6
That meet the requirements of triangle inequality are
4, 16, 14 4, 16, 14 4, 8, 94, 16, 14 4, 8, 97, 6, 5Learn more about triangle at
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How do we determine the degree of a polynomial in one variable How about in more than two variables?
Answers
The higher power of the polynomial equation is its degree when there is one variable. However, if a polynomial comprises numerous variables, the degree of the polynomial can be calculated by adding the powers of the multiple (more than one variable) variables in any terms in the polynomial expression.
Polynomial: A Polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division.
Examples:
•Constants. Example: 1, 2, 3, etc.
•Variables. Example: g, h, x, y, etc.
•Exponents: Example: 5 in x5 etc.
Degree of one variable polynomial:
Example: 4x^4+6x^2-2
The degree of the polynomial is 4 as the highest power of variable is 4.
Degree of more than two variables polynomial:
Example: 6x^2yz^3+2x^2y+zx
The degree of the polynomial is 6 as the addition of powers of variables is 6.
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Write a fraction that is equivalent to 3/5 that has a denominator of 20.
5
15
20
20
12
12
20
3
20
Answers
Answer:
12/20
Step-by-step explanation:
\(\displaystyle \frac{3}{5}=\frac{3}{5}\cdot\frac{4}{4}=\frac{12}{20}\)
The answer is:
12/20In-depth-explanation:
The denominator of 3/5 is 5. To get from 5 to 20, we multiply it by 4.
We need to multiply both the numerator and the denominator by 4, so we do this:
\(\sf{\dfrac{3\times4}{5\times4}}\)
\(\sf{\dfrac{12}{20}}\)
Hence, the answer is 12/20.Please Help Will Give Points
Answers
Answer:
6.2cm
Step-by-step explanation:
I plotted values in the equation to get the rightful answer.
The approximate radius of the sphere with volume of 998 cm³ is 6.2 cm
Volume of a sphere:
V = 4 / 3πr³where
r = radius
V = 998 cm³
π = 3.14
V = 4 / 3 × 3.14 × r³
V = 12.56 r³ / 3
998 = 12.56 r³ / 3
cross multiply
998 × 3 = 12.56r³
2994 = 12.56r³
divide both sides by 12.56
r³ = 2994 / 12.56
r = ∛238.375796178
r = 6.20041444
r ≈ 6.2 cm
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Find sercises 12.4. plete the following: the intercepts and domain and perform the symmetry test on each parabola with equation: Graph the vertex, focus, and endpoints of the latus rectum; then draw the parabola for each equation in problem 1. on the same axes the parabolas with equation x = 4py using as values of p: -4,-2,-1,0, the effect on the (a) y² = 87 (c) y² = - 4x (b) x2 = 8y (a) x2 = - 4y
Answers
Solutions for 1 & 2 in the same graphs:
a)
The intercept is located at (0, 0).
b)
The intercept is located at (0, 0).
c)
The intercept is located at (0, 0).
d)
The intercept is located at (0, 0).
Solution for point 3:
All the equations are arranged in a respective manner regarding the order given in the problem.
We can see that the closer p is to 0 the parabola is more slime, and the further away the value of p is from 0 the less slim it is. Also, if p changes sign, then the parabola is projected on the opposite axis.
How many solutions does each polynomial have? Equation Number of Solutions y = -6x - 9 y = 2x5 – x4 + 2x3 - 6x2 + 2x + 4 y = -4x3 - 10x2 + 7x + 5( number of solutions (1 2 3 4 5 6)
Answers
a) 1
b) 5
c) 3
Explanation:
To determine the number of solutions in a polynomial, wewould use the degree of the polynomial.
a) y = -6x - 9
The degree of the polynomial is linear (the highest degree is one)
Hence, it has one solution
\(b)\text{ }y=2x^5-x^4+2x^3-6x^2+2x+4\)The degree of the above polynomial is quintic (highest degree is 5)
Hence, it has 5 solutions
\(c_{})\text{ }y=-4x^3-10x^2+7x+5\)The highest degree above is 3. The polynomial is cubic.
Hence, it has 3 solutions
Given points $A(2,3)$, $B(-1,4)$, and $C(-2,-2)$, determine point $D$ so that the slope from $A$ to $B$ equals the slope from $C$ to $D$, and the slope from $A$ to $D$ equals the slope from $B$ to $C$.
Answers
Answer:
D is approximately (-2, -1)
Step-by-step explanation:
\({ \tt{slope \:AB = slope \: CD }} \\ \\ { \tt{ \frac{(4 - 3)}{( - 1 - 2)} = \frac{(y - ( - 2))}{(x - ( - 2))} }} \\ \\ { \tt{ \frac{1}{ - 3} = \frac{y + 2}{x + 2} }} \\ \\ { \tt{x + 2 = - 3y - 6}} \\ { \underline{ \tt{ \green{ \: \: 3y + x = - 8 \: \: }}}}\)
\({ \tt{slope \: AD= slope \: BC}} \\ \\ { \tt{ \frac{y - 3}{x - 2} = \frac{ - 2 - 4}{ - 2 - 1} }} \\ \\ { \tt{ \frac{y - 3}{x - 2} = \frac{6}{3} }} \\ \\ { \tt{ \frac{y - 3}{x - 2} = 2}} \\ \\ { \tt{y - 3 = 2(x - 2)}} \\ { \tt{y - 3 = 2x - 4}} \\ { \underline{ \tt{ \blue{ \: \: y - 2x = - 1 \: \: }}}}\)
Solve the green equation and blue equation simultaneously:
\({ \boxed{ \tt{ \red{ \: y \approx - 2 \: \: }}and \: \: { \red{x \approx - 1}}}}\)
Let the co-ordinates of D be (a,b)
Slope of AB =Slope of CD\(\\ \tt\hookrightarrow \dfrac{4-3}{-1-2}=\dfrac{b+2}{a+2}\)
\(\\ \tt\hookrightarrow \dfrac{-1}{2}=\dfrac{b+2}{a+2}\)
\(\\ \tt\hookrightarrow -a-2=2b+4\)
\(\\ \tt\hookrightarrow a+2b+6=0\dots(1)\)
Slope of AD=Slope of BC\(\\ \tt\hookrightarrow \dfrac{b-3}{a-2}=\dfrac{-2-4}{-2+1}\)
\(\\ \tt\hookrightarrow \dfrac{b-3}{a-2}=6\)
\(\\ \tt\hookrightarrow 6a-12=b-3\)
\(\\ \tt\hookrightarrow 6a-b-9=0\dots(2)\)
Multiplying 2 with eq(2)
\(\\ \tt\hookrightarrow 12a-2b-18=0\dots(3)\)
Add eq(1) and (3)\(\\ \tt\hookrightarrow 13a-12=0\)
\(\\ \tt\hookrightarrow a=12/13=0.9\to 1\)
Put in eq(1)\(\\ \tt\hookrightarrow 12/13+2b+6=0\)
\(\\ \tt\hookrightarrow 90/13=-2b\)
\(\\ \tt\hookrightarrow b=-90/26=-3 4\to 3\)
please help me for 50 points!!
simplify: -3 √84x^3
A. -6x√21x
B. -6√21
C. 6x√21x
Answers
Answer:
C
Step-by-step explanation:
the prime factorization of 84 is 2 x2 x 3 x 7
I can rewrite the problem
-3\(\sqrt{84x^{3} }\)
-3\(\sqrt{(2)(2)(3)(7)xxx}\) pull out the pairs
-3(2)x\(\sqrt{(3)(7)x}\)
-6x\(\sqrt{21x}\)
Helping in the name of Jesus.
The volume of a cylinder is 637 cm³. If the radius is 3 cm, what is the height
of the cylinder?
Answers
If the radius is 3 cm, the height of the cylinder is approximately 7.06 cm, which is closest to option B, 7 cm. The correct option is B.
The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height.
We are given that the volume of the cylinder is 637 cm³ and the radius is 3 cm. Substituting these values into the formula, we get:
637 = π(3²)h
Simplifying:
637 = 9πh
h = 637 / (9π)
h ≈ 7.06
Thus, the height of the cylinder is approximately 7.06 cm, which is closest to option B, 7 cm.
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7x-8y=13 can someone please help me
Answers
Answer:
A
Step-by-step explanation:
Sub in the point given, (3, 1), and check if the equation holds true
7(3) - 8(1) = 13
21 - 8 = 13
13 = 13
The equation held true, therefore, the point (3, 1) is a solution
Solve by graphing
x + 3y = 1
-3 - 3y = -15
Answers
The solution of the given equation is (-11, 4). the graph is attached below.
What are Systems of equations?Simultaneous equations, a system of equations are Two or more equations in algebra that must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.
There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.
Given a system of equation x + 3y = 1 and -3 - 3y = -15
Before solving it with a graph we need to simplify the equation:
From equation 1
=> -3 - 3y = -15
=> -3y = -12
=> y = 4
From substitution in equation 1
x = -11
therefore, The solution of the given equation is (-11, 4).
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If you were the sky, and your thoughts and emotions were the weather, what would the weather look like? Draw and color your weather report.
What comes up for you when you look at your picture? What did you learn about yourself? What do you think you need to do to take care of yourself after looking at your picture? You may share as much, or as little as you like with us below.
Answers
Answer:
It would be sunny because I am a usually happy person
. In a fort, there were provisions for 400 men for 23 weeks. 60 more men joined them. How long will the provisions
last?
Answers
The additional 60 men, the provisions will last for approximately 20 weeks.
To determine how long the provisions will last with the additional 60 men, we need to consider the total number of people and the original duration the provisions were meant to last.
Originally, the provisions were intended to sustain 400 men for 23 weeks. This means that the provisions were estimated to be sufficient for a total of 400 * 23 = 9200 person-weeks.
Now, with the additional 60 men, the total number of men becomes 400 + 60 = 460.
To calculate how long the provisions will last with the increased number of men, we divide the total person-weeks by the new number of men:
Provisions last = Total person-weeks / Number of men
= 9200 / 460
≈ 20 weeks (rounded to the nearest whole number)
The additional 60 men will extend the supply's shelf life to around 20 weeks.
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What is the constant of proportionality for this table?
Time (hr) 2 4 5 9
Pay ($) 16 32 40 72
Question 4 options:
1/8
16
8
2
I WILLMARK BRAINLIEST
Answers
A recent survey showed that exactly 38%
of people in a town buy the local
newspaper. There are 2450 people in the
town.
a) How many people in the town buy the
local newspaper?
b) How many people in the town do not
buy the local newspaper?
Answers
Answer:
a) .38 × 2,450 = 931 people buy the local newspaper.
b) 2,450 - 931 = 1,519 people do not buy the local newspaper.
need help solving these 4 problems
Answers
Answer:
A)5
D) Z
I dunno
D) X
number 68 I dunno sorry
Answer:
66) A) 5
67) D) Z
68) D) T
69) D) X
18+ 4(28) use the properites of operations to evaluate this expressions?
Answers
The value of the expression 18 + 4(28) will be 130.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The expression is given below.
⇒ 18 + 4(28)
Simplify the expression, then the value of the expression will be
⇒ 18 + 4 x (28)
⇒ 18 + 4 x 28
⇒ 18 + 112
⇒ 130
Thus, the value of the expression 18 + 4(28) will be 130.
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Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answers
Answer:
D & E
Step-by-step explanation:
4\(x^{2}\) + 32x + 60 = 0
divide whole eqn by 4
\(x^{2}\) + 8x + 15 = 0
(x + 3)(x + 5) = 0
x = -3 or -5
Pls answer this for brainliest A refrigerator worth Rs.58000 is offered for sale at Rs.45000. What per cent discount is offered during the sale?
Answers
Discounts are used to reduce the price of items
The percentage discount during the sale is 22.41%
How to calculate the percentage discountThe given parameters are:
Worth = Rs 58000
Selling price = Rs 45000
Start by calculating the discount amount
Discount = Worth - Selling Price
So, we have:
Discount = Rs 58000 - Rs 45000
Discount = Rs 13000
The percentage discount is then calculated as:
\(\% Discount = \frac{Discount}{Worth}\)
This gives
\(\% Discount = \frac{13000}{58000}\)
Simplify
\(\% Discount = 22.41\%\)
Hence, the percentage discount during the sale is 22.41%
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ABDE is an isosceles trapezoid. Select all parts that are marked congruent.
Help pls
Answers
The congruent parts of the isosceles trapezoid are:
Side AB and side AEAngle A and Angle BAngle E and Angle DHow to determine the congruent parts of the isosceles trapezoid?From the question, we have the isosceles trapezoid that parameters that can be used in our computation:
To determine the congruent parts, we make use of the parts that have the same marks
The marks could be single or double marks
Using the above as a guide, we have the following:
Side AB and side AEAngle A and Angle BAngle E and Angle DRead more about isosceles trapezoid at
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solve the equation 4-2(x-7)=3(x+5)
Answers
Answer:
.6 or 3/5
Step-by-step explanation:
x = 3/5
Step-by-step explanation:Hi there !
4 - 2(x - 7) = 3(x + 5)
removing parentheses
(-)(-) = +
4 - 2x + 14 = 3x + 15
isolate the variable terms
4 + 14 - 15 = 3x + 2x
solve
3 = 5x
x = 3/5
Good luck !
(2x - 3)2 + 5(3 - 2x) - 14
Answers
Answer:
-6x-5
Step-by-step explanation:
(2x - 3)2 + 5(3 - 2x) - 14
Distribute
2x*2 -3*2 +5*3 -5*2x -14
4x -6 +15 -10x -14
Combine like terms
4x -10x -6 +15-14
-6x -5
algebra domain and range please help
Answers
Answer:
Option 2.
Step-by-step explanation:
Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.
Domain: \((- \infty} ,0)\) ∪ \((0, \infty} )\)
Range: \((- \infty} ,0)\)∪\((0, \infty} )\)
Check all of the expressions that are equal to the one below.
(5+2). 9
A. 5+ (
29)
B. 9.5+ 9.2
O C. (2 + 5). 9
O D. (2 + 9). (5 + 9)
SUBMIT
Answers
Help please!! I’ll give brainliest if you show work as well. Thank you!!!
Answers
Answer:
TWO CRACKERS
Step-by-step explanation:
I'm assuming they want to find x. Here we see that these two are similar triangles, so the sides are reflective. 5x/5 should be equal to 4/x, so 5x/5 = 4/x. If we use cross multiplying we get 5x^2 = 20. divide both sides by 5 and we get x^2 = 4 or x = 2.
Hope this helped
1 mile is equivalent to _ a0 kilometers ( round to the nearest hundredth )
Answers
Answer:
1 mile =1.609 kilometers
Step-by-step explanation: