Step-by-step explanation:
All steps are in picture.
If you have any question about it you can ask.
Thanks
#a
a(1)=1a(n)=3a(n-1)[tex]\\ \sf\longmapsto a(2)=3a(1)=3(1)=3[/tex]
[tex]\\ \sf\longmapsto a(3)=3a(2)=3(3)=9[/tex]
[tex]\\ \sf\longmapsto a(4)=3a(3)=3(9)=27[/tex]
[tex]\\ \sf\longmapsto a(5)=3a(4)=3(27)=81[/tex]
#b
b(1)=1b(n)=-2+b(n-1)[tex]\\ \sf\longmapsto b(2)=-2+b(1)=-2+1=-1[/tex]
[tex]\\ \sf\longmapsto b(3)=-2+b(2)=-2-1=-3[/tex]
[tex]\\ \sf\longmapsto b(4)=-2+b(3)=-2-3=-5[/tex]
[tex]\\ \sf\longmapsto b(5)=-2-5=-7[/tex]
pleasee help i'm having a hard time understanding this
Answer:
[tex] \sqrt[3]{12} [/tex]
and
[tex] \sqrt[3]{ \frac{1}{18} } [/tex]
because
[tex] \sqrt[3]{12} \times \sqrt[3]{18} = 6 \\ \\ \sqrt[3]{ \frac{1}{18} } \times \sqrt[3]{18 } = 1[/tex]
Solve for p.
5p − 8(6p − 5) = p − 4
p =
Answer:
[tex]p = 1[/tex]
Step-by-step explanation:
[tex]5p - 8(6p - 5) = p - 4[/tex]
[tex] - 43p - 40 = p - 4[/tex]
[tex] - 43p - p = - 40 - 4[/tex]
[tex] - 44p = - 44[/tex]
[tex]p = \frac{ - 44}{-44} [/tex][tex]p = 1[/tex]
Hope it is helpful.....Answer:
[tex] p =\frac{22}{27} [/tex]
Step-by-step explanation:
5p - 8(6p - 5) = p - 4
-5p - 48p + 40 = p - 4
-53p + 40 = p - 4
-53p - p = -4 - 40
-54p = -44
p = 44 ÷ 54
p = 44/54
simplify with factor 2
p = 22/27
Please solve both i will give brainliest!!! Love you in advance <3
C = 5/9 (F - 32)...solve for F
Answer:
F = (9/5 ×C) + 32
Step-by-step explanation:
Apply Change of subject
Divide both sides by 5/9
9/5 × C = F - 32
》F = (9/5 ×C) + 32
Anyone... l will give BRAINLIEST!!
Answer:
T (6, 5 )
Step-by-step explanation:
Using the section formula
If (x₁, y₁ ) and (x₂, y₂ ) are divided in the ratio m : n , then
( [tex]\frac{nx_{1}+mx_{2} }{m+n}[/tex] , [tex]\frac{ny_{1}+my_{2} }{m+n}[/tex] ) are the coordinates of the internal point
Here (x₁, y₁ ) = A (- 4, 10 ) , (x₂, y₂ ) = B (10, 3) , m : n = 5 : 2
T = ([tex]\frac{2(-4)+5(10)}{5+2}[/tex] , [tex]\frac{2(10)+5(3)}{5+2}[/tex] )
= [tex]\frac{-8+50}{7}[/tex] , [tex]\frac{20+15}{7}[/tex] )
= [tex]\frac{42}{7}[/tex] , [tex]\frac{35}{7}[/tex] )
= (6, 5 )
kennedyfox!!!
You worked 14 hours last week and earned a total of $124 before taxes. Your job as a lifeguard pays $10 per hour and your job as a cashier pays $8 per hour. How many hours did you work at each job
kennedy look, i got my phone back and i wanna talk text me 850 533 1209, sorry anybody that are answering pls dont report im putting extra points ok
Step-by-step explanation:
let :
the job as lifeguard = A
the job as cashier = B
making 2 equations as follows :
(1) A+B = 14 ==> A = 14-B
(2) 10A + 8B = 124
substitute A (equation (1)) into equation (2) :
10(14-B) + 8B = 124
140 -10B +8B = 124
140- 2B = 124
140-124 = 2B
16 = 2 B
B = 8
A = 14-8 = 6
so, as a lifeguard = 6 working hours
and as a cashier = 8 working hours
Answer:
Step-by-step explanation:
Let the lifeguard hours = x
Let the cashier hours= y
x + y = 14
10*x + 8*y = 124 Multiply the top equation by 8 Put it under here.
8x + 8y = 112 Subtract
2x = 12 Divide by 2
x = 6
He worked 6 hours as a lifeguard.
x + y = 14
6 + y = 14 Subtract 6 from each side
y = 14 - 6
y = 8
He worked 8 hours as a cashier.
check
6*10 = 60
8 * 8 = 64
total 124
f=vu÷v+t,find v if f=20 and u=5
Answer:
v=20/3
See IMAGE FOR SOLUTION
In the given expression f = uv /(v+t) value of v in terms of t is *4/3t.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given an expression f = uv /(v+t)
Also given
f = 20
u = 5
Hence, From the expression
f = uv /(v+t)
=> 20 = 5v/(v + t)
Simplifying in the terms of v
20v + 20t = 5v
15v = -20t
v = -4/3t
Therefore, the value of v in the given expression is -4/3t.
Learn more about Mathematical operations here:
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In the figure, AOB is a straight line. Find the value of x.
Answer:
x =36
Step-by-step explanation:
The three angles form a straight line which means they add to 180
2x+2x+x = 180
Combine like terms
5x = 180
5x/5 = 180/5
x =36
Answer:
X=36
Step-by-step explanation:
A straight line like the one shown in the image has 180° by one side.
Following that, we should assume that:
2x+2x+x=180°
5x=180°
x=36°
I hope I have helped you.
I'm not smart like 60% but help
Answer:
SEE THE IMAGE FOR SOLUTION.
HOPE IT HELPS
please help me hurry this is due tomorrow
Solve the following equation:
14a – (2a + 9) = {(12a - 18)
a =
Answer:
no solution
Step-by-step explanation:
14a – (2a + 9) = (12a - 18)
Distribute the minus sign
14a – 2a - 9 = (12a - 18)
12a -9 = 12a -18
Subtract 12a from each side
12a -9-12a = 12a-18-12a
-9 = -18
This is not a true statement so there is no solution
Point B is on line segment AC. Given AB=4x-6, AC=2x+10, and BC=4, determine the numerical length of AC
Answer:
AC = 22
Step-by-step explanation:
AB + BC = AC , substitute values
4x - 6 + 4 = 2x + 10 , that is
4x - 2 = 2x + 10 ( subtract 2x from both sides )
2x - 2 = 10 ( add 2 to both sides )
2x = 12 ( divide both sides by 2 )
x = 6
Then
AC = 2x + 10 = 2(6) + 10 = 12 + 10 = 22
Write the equation of circle with diameter of 10 units centered at (- 2, 1) .
Answer:
[tex](x+2)^2 + (y-1)^2 = 25[/tex]
Step-by-step explanation:
We want to write the equation of a circle with a diameter of 10 units centered on (-2, 1).
Recall that the equation of a circle has the standard form:
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
Where (h, k) is the center and r is the radius.
Since our diameter is 10, our radius is 5.
And since the center is at (-2, 1), h = -2 and k = 1.
Substitute:
[tex]\displaystyle (x - (-2))^2 + (y - (1))^2 = (5)^2[/tex]
And simplify. Hence, our equation is:
[tex](x+2)^2 + (y-1)^2 = 25[/tex]
plz solve this for me as soon as possible
Answer:
Hello,
Step-by-step explanation:
[tex]f(n)=4n-5\\\\g(n)=an+b\\\\(gof)(n)=5n+1\\\\f(g(n))=f(an+b)=4*a*n+4b-5=5n+1\\\\4an=5n ==> a=5/4\\4b-5=1 ==> 4b=6 ==> b=3/2\\\\\\\boxed{g(n)=\dfrac{5n}{4} +\dfrac{3}{2} }\\\\[/tex]
HURRY PLEASE HELP. Point J is located at – 4. Points K and L are each 5 units away from Point J. Where are K and L located?
Answer:
It depends in which direction "away" means. If they are five units to the right then the answer should be 1. if they are 5 points away to the left then the answer would be -9.
Step-by-step explanation:
Basically it depends,
if its indicating to the right the equation would be=
-4+5=x
which to do this negative cancells out its positive, so you can just subtract their absolute values. 5-4=1. And to know which symbol it has you just indicate which factor has the greated absolute value. (aka 5 which is positive so the answer should be positive).
-----------------------------
if its to the left then the equation would be=
-4-5= x
(negative four subtracted by four)
and the easier way to do this would be to turn this equation into addition.
the new equation shall be: -4+(-5)=-9 since they are both negative integers the sum should be negative.
Acellus
Complete the data table for the function
f(x) = -x-2 + 2.
Х
-2
-3
-6
-11
Y
[?]
Enter
Answer:
x= -6 —> y= 4
x= -11 —> y= 5
Step-by-step explanation:
x= -6 —> y= 4
[tex]f( - 6) = \sqrt{ - ( - 6) - 2} + 2 \\ = \sqrt{6 - 2} + 2 \\ = \sqrt{4} + 2 \\ = 2 + 2 \\ = 4[/tex]
x= -11 —> y= 5
[tex]f( - 11) = \sqrt{ - ( - 11) - 2} + 2 \\ = \sqrt{11 - 2} + 2 \\ = \sqrt{9} + 2 \\ = 3 + 2 \\ = 5[/tex]
I hope I helped you^_^
The value of the function f(x) for the corresponding x = -6 and x =-11 is equal to 4 and 5 respectively.
The function f(x) = √( -x -2) + 2
The value of x and f(x) are ,
x : -2 -3 -6 -11
f(x) : 2 3 ? ?
Now to find the missing value of f(x) substitute the value of x in f(x) we have,
When x = -6
f(x) = √( -x -2) + 2
⇒ f(x) = √( -( -6) -2) + 2
⇒ f(x) = √(6) -2) + 2
⇒ f(x) = √(4) + 2
⇒ f(x) = 2 + 2
⇒ f(x) = 4
And when x = -11
f(x) = √( -x -2) + 2
⇒ f(x) = √( -( -11) -2) + 2
⇒ f(x) = √(11) -2) + 2
⇒ f(x) = √(9) + 2
⇒ f(x) = 3 + 2
⇒ f(x) = 5
Therefore, the missing values of the function are 4 and 5.
learn more about function here
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..A number divided by 5 is 15 how do you right it as a equation
Answer:
75
Step-by-step explanation:
Let's say the unknown number is x
x/5 = 15
x = 15*5
x = 75
You are looking at your power bill for the month, you pay 12 cents per kilowatt-hour. Your power bill came out to $76.49 how many KWH of energy were used in house this month?
What’s the slope of the line?
Answer:
slope = - [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
- [tex]\frac{1}{2}[/tex] x - [tex]\frac{3}{4}[/tex] y = 24 ( multiply through by 4 to clear the fractions )
- 2x - 3y = 96 ( add 2x to both sides )
- 3y = 2x + 96 ( divide terms by - 3 )
y = - [tex]\frac{2}{3}[/tex] - 32 ← in slope- intercept form
with slope m = - [tex]\frac{2}{3}[/tex]
find the exact value without a calculator.
sin 5π/12 = sin 5π/6/2
Line segment JM has endpoints with coordinates 0 and 25 on a number line. Points K and L are on segment JM. K has a coordinate of 5 and point L has a coordinate of 12. Find the probability that a point on JM is placed first on JL and a second point is not placed on KL.
Answer:
D. 216/625Step-by-step explanation:
The length of the segment JM is 25 units.The segment JL is between 0 and 12, so is 12 units.The segment KL is between 5 and 12, so is 7 units.The probabilities for each point:
P(point on JL) = 12/25P(point not on KL) = 1 - 7/25 = 18/25Required probability:
P = 12/25*18/25 = 216/625Correct choice is D
b) Convert 101, into denary number
If 101 is given in base b, then in base 10 you have
[tex]101_b = 1\times b^2 + 0\times b^1 + 1\times b^0 = b^2 + 1[/tex]
For instance, if b = 2, then
101₂ = 2² + 1 = 5₁₀
If b = 3, then
101₃ = 3² + 1 = 9₁₀
If b = 4, then
101₄ = 4² + 1 = 17₁₀
The answer depends entirely on the base of the given number.
An object is dropped off a building that is 144 feet tall. After how many seconds does the object hit the ground? (d=16t^2)
wrong= reported.
ty<3
Answer:
after 3 seconds, the object hits the ground.
Hope this helps :)
5x = y
identify the slope and y intercept for the line
Answer:
the slope is 5
and the intercept is 0
Step-by-step explanation:
- 50 = 6α + 28
Help pls
Answer:
A=13
hope this helped!!!
Answer:
-13
Step-by-step explanation:
-50=6a+28
collect like terms
-50-28=6a
-78=6a
divide both sides by the coefficient of a
-78/6=6a/6
a=-13
Determine the ordered pair that satisfies the equation, 5x + 2y = 7.
A
(8. – 33 )
B
(-1,1)
C
(-4,3)
D
(5,2)
E
I don't know yet
Answer:
None of the first 4 do. so I guess the answers E.
Step-by-step explanation:
The slope of a line equals the “run over the rise.”
True or false
Answer:
False
Step-by-step explanation:
The slope of a line is
Change in y over change in x
This is also known as rise over run
if hj=7x-27 find the value of x
Answer:
x=7
Step-by-step explanation:
HI + IJ = HJ
3x-5 + x-1 = 7x-27
Combine like terms
4x-6 = 7x-27
Subtract 4x from each side
4x-6 -4x= 7x-27-4x
-6 = 3x-27
Add 27 to each side
-6+27 = 3x-27+27
21 = 3x
Divide by 3
21/3 = 3x/3
7 =x
Answer:
x=7
Step-by-step explanation:
Somebody help me please
Answer:
Proven.
Step-by-step explanation:
A toy was sent in a box 8 inches long, 5 inches wide, and 15 inches high? What is the volume of the box?
Answer:
8 x 5 x 15 = 600in^3