Step-by-step explanation:
[tex]f(x)=f(x-1)+f(x-3)[/tex]
Substitute x=4,
[tex]f(4)=f(4-1)+f(4-3)=f(3)+f(1)=1+1=2[/tex]
how much time will it take for a bug to travel 5 meters if it is traveling 1 m/s
Answer:
5
Step-by-step explanation:
divide the distance by the rate of speed
5/1=5
Answer:
5 seconds.
Step-by-step explanation:
Help please and please explain how I don’t understand
If 2x minus 4 equals negative 18 what is x with shown work
Answer:
-7
Step-by-step explanation:
Equation: 2x - 4 = -18
First, add 4 to both sides:
2x = -14
Finally, divide both sides by 2:
x = -7
Check (optional):
2(-7) - 4 = -18
-14 - 4 = -18
-18 = -18 so this is correct
If you're confused about any of these steps, just let me know and I'll try to clear it up for you! :)
Simplify: (14^6*15^5)/(35^6*6^5)
Answer:
2/5
Step-by-step explanation:
=(2*7)^6 * (3*5)^5/ (7*5)^6 * (2*3)^5
=(2^6 * 7^6) * ( 3^5 * 5^5) / (7^6 * 5^6) * ( 2^5* 3^5)
=2^5 * 2^1 * 5^5/ 5^5 * 5^1 *2^5
=2/5
The simplified expression of (14^6*15^5)/(35^6*6^5) is 2/5
How to simplify the expression?The expression is given as:
(14^6*15^5)/(35^6*6^5)
Express 14 as 2 * 7, 15 as 3 * 5 and 35 as 5 * 7
[tex]\frac{(2 * 7)^6 * (3 * 5)^5}{(5 * 7)^6 * (2 * 3)^5}[/tex]
Expand the expression
[tex]\frac{2^6 * 7^6 * 3^5 * 5^5}{5^6 * 7^6 * 2^5 * 3^5}[/tex]
Divide the common factors
[tex]\frac{2}{5 }[/tex]
Rewrite as:
2/5
Hence, the simplified expression of (14^6*15^5)/(35^6*6^5) is 2/5
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please help fassttttt
Answer:
Step-by-step explanation:
h = 20 + 1.7 + 50 = 71.7 m
Prove this
sinx/cosecx-cotx = 1+cosx
Answer:
= sin x
1
−
cos
x
(
1
+
cos
x
1
+
cos
x
)
-multiply by the conjugate
=
sin
x
+
sin
x
cos
x
1
−
cos
2
x
-distribute
=
sin
x
sin
2
x
+
sin
x
cos
x
sin
2
x
-use property
sin
2
x
+
cos
2
x
=
1
=
1
sin
x
+
cos
x
sin
x
-simply
=
csc
x
+
cot
x
=
Right Hand Side
Step-by-step explanation:
Identify the rule for the following pattern:
4, 24, 144
Answer:
It is being multiplied by 6 each time.
Step-by-step explanation:4x6, 24x6
when is it hard to show if a set is closed or not closed?
help me plzzzzzzzzzzz
Answer:
x = 18°
Step-by-step explanation:
∠AOB and ∠BOD form linear pair of angles, so they are supplementary, i.e., their sum is 180°.
130° + (2x + 14)° = 180°
=> 130° + 2x° + 14° = 180°
=> 2x° = 180° - 130° - 14°
=> 2x° = 36°
=> x = 36°/2°
=> x = 18°
I neeed helppp please due today
Step-by-step explanation:
y=x+6.......(1)
y=-3X-6....(2)
from eq (1), we get,
x=y-6....(3)
sub eq (3) in eq (2), we get
y= -3(y-6)-6
y= -3y+18-6
y+3y-12=0
4y=12
y=3
sub value of y in eq (3)
x=3-6
x=-3
Answer: (3, 3)
Step-by-step explanation:
There are three general ways of solving a system of equations:
EliminationSubstitutionGraphingWhen solving systems of equations with graphing, look for points that overlap with each other or cross, and that will be the solution for the system. There might be one, two, or more than two solutions.
Please refer to the attachment below for the graph of the two equations.
Red line: y = x + 6Blue line: y = -3x - 6Hope this helps!! :)
Please let me know if you have any questions
Calculate the diameter of a
circle if its area is 113.1cm2.
Answer:
12 cm squared
Step-by-step explanation:
1. Since diameter is twice the radius and what we know is the area, you would divide the area, 113.1 cm, by Pi (3.14):
113.1 cm / 3.14 = 36.00084813
2. What you get is the radius which you have to square:
36.00084813 squared = 6.000070677
3. Now you double the radius in order to get the diameter:
6.000070677 x 2 = 12.00014135
12.0 cm squared
use the diagram on the right. How many planes contain both the line and the point
a. FG and point P
b. EP and point G
Part (a)
Answer: 0-------------------
Explanation:
Point P is part of 3 planes or faces of this triangular prism:
plane PEF (the front slanted plane)plane PEH (the left triangular face)plane PHG (the back rectangular wall)Notice how each three letter sequence involves "P", though this isn't technically always necessary. I did so to emphasize how point P is involved with these planes.
Each of the three planes mentioned do not involve line FG
Plane PEF only deals with point FPlane PEH doesn't have any of F or G involvedplane PHG only involves GSo there are no planes that contain line FG and point P.
==================================================
Part (b)
Answer: 0-------------------
Explanation:
It's the same idea as part (a) earlier. The planes involving point G are
plane GQF (triangular face on the right)plane GFE (bottom rectangular floor)plane GHP (back rectangular wall)None of these planes have line EP going through them.
As an alternative, we could reverse things and focus on all of the planes connected to line EP. Those 2 planes are
plane PEH (triangular face on the left)plane PEF (front slanted rectangular face)None of these planes have point G located in them.
Number x is 10% more than number y. Number y is 10% more than number z. How much percent is number z less than number x?
pls step by step
Answer:
i hope it helped U
stay safe stay happy
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!
URGENT!!!!!!!
For the function h defined by h(x)=2x^2 − 2, find h(0).
Answer:
h(0) = - 2
Step-by-step explanation:
Substitute x = 0 into h(x) and evaluate , that is
h(0) = 2(0)² - 2 = 2(0) - 2 = 0 - 2 = - 2
A triangle has three angles. The first angle measures 20 less than a number. The second triangle is three
times the number. The third is the number. What are the measurements of each of the three angles in this
triangle?
Answer:
first angle is 20, 2nd is 120, 3rd is 40.
Step-by-step explanation:
with these words, "20 less than a number, Three
times the number, is the number." We can set up the equation x-20+3x+x = 180. combine like terms and we get 5x-20=180. add 20 to both sides to get 5x=200 then divide 200 by 5x to get x = 40. We can then plug 40 into each of the expressions, x-20, 3x, x, to get our angles.
Evaluate. 46−[(9+15÷5)×3]
Answer:
10
Step-by-step explanation:
46 - [(9 + 15 ÷ 5) × 3]
~We can simplify everythingusing PEMDAS
46 - [(9 + 3) × 3]
46 - [(12) × 3]
46 - 36
10
Best of Luck!
Answer:
46−[(9+15÷5)×3] = 10
Step-by-step explanation:
46-[(9+3)×3]
46-[12×3]
46-36
10
Given CH with C(2, 1) and H(-2,-15), find
the coordinates of E if E divides CH three
fourths of the way from C to H.
The coordinate of E will be (1, -3) if the coordinates of E if E divides CH three -fourths of the way from C to H
Midpoint of a line is a point that divides a line into two equal parts.
If the line is divided in the ratio a:b, then the midpoint formula will be expressed as:
[tex]M(X,Y) =(\frac{ax_1+bx_2}{a+b}, \frac{ay_1+by_2}{a+b})\\[/tex]
Given the coordinate points, C(2, 1) and H(-2, 15) divided in the ratio of 3:4
[tex]X = \frac{3(2)+1(-2)}{3+1}\\X= \frac{6-2}{4}\\X=\frac{4}{4}\\X = 1[/tex]
Get the coordinates Y:
[tex]Y = \frac{3(1)+1(-15)}{3+1}\\Y= \frac{3-15}{7}\\Y=\frac{-12}{4}\\Y= -3[/tex]
This shows that the coordinate of E will be (1, -3)
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Help help help help help help help help help help help plss
Answer:
$48.
Step-by-step explanation:
60% off
= 120 - 0.60*120
= 120 - 72
= $48.
solve for variable. 3p/5 + 8/5 =1
[tex]\\ \sf\longmapsto \dfrac{3p}{5}+\dfrac{8}{5}=1[/tex]
[tex]\\ \sf\longmapsto \dfrac{3p+8}{5}=1[/tex]
[tex]\\ \sf\longmapsto 3p+8=5[/tex]
[tex]\\ \sf\longmapsto 3p=5-8[/tex]
[tex]\\ \sf\longmapsto 3p=-3[/tex]
[tex]\\ \sf\longmapsto p=\dfrac{-3}{3}[/tex]
[tex]\\ \sf\longmapsto p=-1[/tex]
A number of tourist were interviewed on their
choice of
means
of travell Two-thirds said
they had travel by road, 13 by air. 4
the by
both
air and road. If
20 tourist had not travel
road
Represent the information on
on a Vena
diagram:
by either
air
or road. Represent the information on a venn diagram
Answer:
A number of tourists were interviewed on their choice of means of travel. Two- thirds said that they travelled by road, 1330 by air and 415 by both air and road. If 20 tourists did not travel by either air or road ; (i) represent the information on a Venn diagram ; (ii) how many tourists (1) were interviewed ; (2) travelled by air only?
Which polynomial is in standard form?
O 2xy + 3x8y4 - 4x4y5 + 9x576
O 8X5 - 5y4 – 2xy + xy
O x3y2–3x2y-9x4y +11x
O 5x?y2 +7x8y5 – 14x3y? +51x2y9
The polynomial in standard form is as follows;
8x⁵ - 5y⁴ - 2xy⁵ + x²y
How to find the standard form of polynomial?A polynomial can have constants, variables and exponents, but never division by a variable. example of a polynomial is as follows:
4xy² + 2y + 5
Polynomial can be named base on the number of terms. For example monomial, binomial and trinomial.
The standard form of a polynomial is expressed by writing the highest degree of terms first then the next degree and so on.
Therefore, the polynomial in standard form is as follows;
8x⁵ - 5y⁴ - 2xy⁵ + x²y
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Answer: its b
8xy5 -5y4 -2xy5 +x2y
Step-by-step explanation:
I got it right on edge
50 POINTS!!!!!!1
Solve 6 over x minus 6 equals the quantity of x over x minus 6, minus six halves. for x and determine if the solution is extraneous or not.
A.x = −6, extraneous
B.x = −6, non-extraneous
C.x = 6, non-extraneous
D,x = 6, extraneous
Answer:
x = 6, extraneous
Step-by-step explanation:
When you are substituting x = 6 back into the equation, it makes the denominator = 0, so this is an extraneous solution.
Solve for x: −3x − 3= −3(x + 1)
Question 4 options:
All real numbers
No solution
6
−6
Answer:
all real numbers
Step-by-step explanation:
The equation of x has No solution.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Now the given equation is,
−3x − 3 = −3(x + 1)
Expanding the brackets we get,
−3x − 3 = −3x − 3
Collecting like terms together we get,
−3x + 3x = −3 + 3
Solving we get,
0 = 0
So, this equation has no solution.
Thus, the equation of x has No solution.
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Which option is the correct interpretation of this numerical expression?
55 ÷ 5 − 4
the quotient of 55 divided by 5, decreased by 4
four subtracted from the product of 55 and 5
five less than the quotient of 55 divided by 4
fifty-five divided by the difference of 5 and 4
Answer:
7
Step-by-step explanation:
bc 11×5=55 so you divide it and its 11-4=7 :)
Solving equations and inequalities.
I’m confused on the subtraction behind the one, am I supposed to turn the one into a negative?
1-(4+3x)<-3
Answer:
x>0
Answer to your question:
Because the subtraction sign is after the negative, it applies to the term in front of it, in this case because there is a parenthesis, it would multiply into that and your equation from there would be 1-4-3x<-3. Then combine like terms from there.
p 2 + m; use m = 1, and p = 5
Answer:
26
Step-by-step explanation:
p²+m
=> 5²+1
=> 25 + 1
=> 26
Answer:
26
Step-by-step explanation:
Substitute the given values into the expression
p² + m
= 5² + 1
= 25 + 1
= 26
2x² - 5x+1 has roots alpha and beta. Find alpha⁴+beta⁴ without solving the equation.
Please answer fast step by step. I will mark the best answer as brainliest.
Answer:
Step-by-step explanation:
[tex]\alpha+\beta=\dfrac{5}{2} \\\\\alpha*\beta=\dfrac{1}{2} \\\\\alpha^2+\beta^2=\dfrac{21}{4} \ (see\ previous\ post)\\\\(\alpha+\beta)^4=\dfrac{625}{16} \\\\=\alpha^4+\beta^4+4*\alpha^3*\beta+6*\alpha^2*\beta^2+4*\alpha*\beta^3\\\\=\alpha^4+\beta^4+4*(\alpha*\beta)(\alpha^2+\beta^2)+6*\alpha^2*\beta^2\\\\\alpha^4+\beta^4=(\alpha+\beta)^4-4*(\alpha*\beta)(\alpha^2+\beta^2)-6*\alpha^2*\beta^2\\\\= \dfrac{625}{16} -4*\dfrac{1}{2} *\dfrac{21}{4} -6*(\dfrac{1}{2})^2 \\\\[/tex]
[tex]= \dfrac{625}{16}- \dfrac{168}{16}-\dfrac{24}{16}\\\\\\= \dfrac{433}{16}[/tex]
8x - 5y = 74
What is y and x?
Answer:
x = 11/2
y = -x/2+35/4
Step-by-step explanation:
Question 4 of 30
Find the probability of rolling two dice and getting 2's on both.
.
A. 1/60
B. 1/30
C. 1/2
D.1/36
HELP ASAP
Answer:
1/36
Step-by-step explanation:
prob of each dice is 1/6
=1/6 * 1/6
Given f(x)=2x^2+3x-8 find (b+2)
Answer:
[tex]\displaystyle f(b+2) = 2b^2 + 11b +6[/tex]
Step-by-step explanation:
We are given the function:
[tex]\displaystyle f(x) = 2x^2 + 3x - 8[/tex]
And we want to find:
[tex]\displaystyle f(b + 2)[/tex]
Substitute:
[tex]\displaystyle f(b+2) = 2(b+2)^2 + 3(b+2) - 8[/tex]
Expand and simplify:
[tex]\displaystyle \begin{aligned}f(b+2)&= 2(b^2+4b+4)+(3b+6)-8 \\ &= (2b^2+8b+8)+(3b+6)-8 \\ &= (2b^2) + (8b+3b)+ (8+6-8) \\ &= 2b^2 + 11b + 6 \end{aligned}[/tex]
In conclusion:
[tex]\displaystyle f(b+2) = 2b^2 + 11b +6[/tex]