Step-by-step explanation:
geometric sequence means every new term is created by multiplying the previous term by a certain constant (here 1/3).
s1 = 5
s2 = s1 × 1/3 = 5 × 1/3
s3 = s2 × 1/3 = s1 × 1/3 × 1/3 = 5 × 1/9
sn = sn-1 × 1/3 = s1 × (1/3)^(n-1) = 5 × (1/3)^(n-1)
s6 = 5 × (1/3)⁵ = 5 × 1/243 = 5/243
Working alone, Alicia takes 6 hours to record the inventory of the entire shop, while it
takes Monica only 4 hours to do the same job. How long will it take them working
together if Alicia leaves 2 hours early?
Answer:
ten hours for them to get the job done completely without any hesitation.
Step-by-step explanation:
i studied it
Casey is in Florida when a Zombie Apocalypse suddenly breaks out in his area. He needs to help his family and friends cross a sinkhole to escape the marauding herd. Help Casey calculate the amount of rope he will need to zipline his family and friends to safety … don’t mess this up!
(a) Choose a point on the graph (using whole numbers) and use this point to form a triangle, making the red line one side of this triangle. Calculate the three midsegments of the triangle you created, these will stabilize the zipline. Show all of your calculations below and draw in your work in the image above.
(B) Calculate the perimeter of the triangle and the lengths of each midsegment. Add these together so that Casey knows just how much rope he will need to create this lifeline to safety. Show all of your work below. Only round off at the end of the problem. Round to the nearest hundredth digit.
Pleaseeee help 50 points I don't know how to make you brainliest but include that with the answer and I will make you brainliest plzz
Attaching ropes to the midsegment of the triangle formed ensures that the
zipline can more safely cross the family and friends to safety.
The amount of rope needed to create a lifeline to safety is approximately 46.56Reasons:
The coordinates of the endpoints of the redline = A(4, 3), and B(-8, -2)
The point selected, P = (4, -3)
[tex]\displaystyle Mid \ point \ of AB, \ D = \left(\frac{4 + (-8)}{2}, \ \frac{3 + (-2)}{2} \right) = \left(-2, \, 0.5\right)[/tex]
[tex]\displaystyle Mid \ point \ of AP, \ E = \left(\frac{4 +4}{2}, \ \frac{3 + (-3}{2} \right) = \left(4, \ 0 \right)[/tex]
[tex]\displaystyle Mid \ point \ of\, BP, \ F = \left(\frac{-8 +4}{2}, \ \frac{-2+ (-3}{2} \right) = \left(-2, \ -2.5\right)[/tex]
The lengths of the midsegments are found as follows
Length of DE = √((4 - (-2))² + (0 - (0.5))²) = 0.5·√(145)
Length of DF = √(((-2) - (-2))² + ((-2.5) - (0.5))²) = 3
Length of EF = √(((-2) - 4)² + ((-2.5) -0)²) = 6.5
(b) The length of side AB = √((4 - (-8))² + (3 - (-2))²) = 13
The length of side BP = √((4 - (-8))² + (-3 - (-2))²) = √(145)
The length of side AP = √((4 - 4)² + (-3 - 3)²) = 6
The perimeter of the triangle ΔABP = 13 + 6 + √(145) = 19 + √(145)
The amount of rope needed to create a lifeline to safety is therefore;
19 + √(145) + 0.5·√(145) + 3 + 6.5 = 28.5 + 1.5·√(145) ≈ 46.56
The amount of rope needed to create a lifeline to safety = 46.56
Learn more here:
https://brainly.com/question/4451516
https://brainly.com/question/16958031
Find the measure of each interior angle of a polygon having 9 sides
Answer:
Sum of the interior angles = 1260°.
Step-by-step explanation:
Sum of the interior angles = (n - 2)180° where n= number of sides
Sum of the interior angles = (9-2)180
Sum of the interior angles = 1260°
How many sides does a polygon have if the sum of the measures of its interior angles is 4,140?
Answer:
25
Step-by-step explanation:
180(s-2)=4140
180s-360=4140
add 360 to both sides
180s=4500
divide both sides by 180
s=25
CALCULATE THE AVERAGE RATE OF CHANGE OF THIS POLYNOMIAL ON THE
INTERVAL (-1.1)
Answer:
-1
Step-by-step explanation:
The average rate of change of function f(x) on the interval [a, b] is ...
m = (f(b) -f(a))/(b -a)
We have ...
f(-1) = (-1)^5 -2(-1) +3 = -1 +2 +3 = 4
f(1) = (1)^5 -2(1) +3 = 1 -2 +3 = 2
Then the average rate of change is ...
m = (2 -4)/(1 -(-1)) = -2/2 = -1
The average rate of change on the given interval is -1.
brainiest to whoever correct
Answer:
y = 138
Step-by-step explanation:
90 + 4x + 3x + 6 = 180
96 + 7x = 180
7x = 84
x = 12
———
3(12) + 6
36 + 6
42
———
180 - 42 = 138
Put the following equation of a line into slope-intercept form, simplifying all fractions. 4y-4x= -28
[tex] \Large{\boxed{\sf y = x - 7}} [/tex]
[tex] \\ [/tex]
Explanation:We are given a linear equation, and we would like to express it in slope-intercept form.
[tex] \\ [/tex]
[tex] \Large{\left[ \begin{array}{c c c} \underline{\tt Slope-Intercept \: Form \text{:}} \\ ~ \\ \tt y = mx + b \end{array} \right] } [/tex]
Where:
m is the slope of the line.b is its y-intercept.(x , y) is a point through which the line passes.[tex] \\ [/tex]
Given linear equation:
[tex] \sf 4y - 4x = -28 [/tex]
[tex] \\ [/tex]
To find the slope-intercept form of the equation, we have to solve for y.
First, add 4x to both sides of the equation:
[tex] \sf \longrightarrow 4y - 4x + 4x = -28 + 4x \\ \\ \\ \longrightarrow \sf 4y = 4x - 28 [/tex]
[tex] \\ [/tex]
Then, divide both sides of the equation by 4:
[tex] \sf \longrightarrow \dfrac{4y}{4} = \dfrac{4x - 28}{4} \\ \\ \\ \longrightarrow \sf y = \dfrac{4x}{4} - \dfrac{28}{4} \\ \\ \\ \longrightarrow \boxed{\boxed{\sf y = x - 7}} [/tex]
[tex] \\ [/tex]
[tex] \hrulefill [/tex]
[tex] \\ [/tex]
▪️Learn more about the slope-intercept form here:
↣https://brainly.com/question/26163957
First , Add 4x to both sides :
➱ [tex]\sf{4y-4x=-28}[/tex]
➱ [tex]\sf{4y=-28+4x}[/tex]
Next , Divide all terms by 4 to get y all alone
➱ [tex]\sf{y=-7+x}[/tex]
Rearrange so that our result matches the format for slope - intercept :
➱[tex]\sf{y = x +7}[/tex]
Henceforth, Equation : y = x + 7 .
pls help with number 12 i will give brainliest
Answer:
My man Zachary is right!
Step-by-step explanation:
The rule is so very simple!
Whenever a negative, anywhere in the equation multiples to another negative, it is always a positive!
Whenever a positive number multiples to a negative number anywhere in the equation, it is always a negative number!
So Negative*Negative is Positive (-10 x -10 = 100)
And Positive*Negative is always negative (-10 x 10 = -100)
And we both know that Positive times positive is positive. (10 x 10 = 100)
f(x)=(1/7)^x then what is f(-3)
Answer:
[tex]f(-3)=343[/tex]
Step-by-step explanation:
[tex]f(x)=(\frac{1}{7} )^x[/tex]
Plug -3 into x and solve using the negative power rule:
[tex]x^{-a}=\frac{1}{x^a}[/tex]
[tex]f(-3)=(\frac{1}{7} )^{-3} \\\\f(-3)=\frac{1}{\frac{1}{7}^3 } \\\\f(-3)=\frac{1}{\frac{1}{343} } \\\\f(-3)=343[/tex]
Sorry, those fractions got very small. Let me know if I need to clarify anything there
Find a polynomial f (x) of degree 4 that has the following zeros.
6 (multiplicity 2), –1, 0
Leave your answer in factored form.
Step-by-step explanation:
The polynomial with given zero's is:
f(x) = a(x - 6)(x - 6)(x - (-1))(x - 0)Or simplified:
f(x) = ax(x + 1)(x - 6)², here a is the coefficient we don't knowHow do you apply the distrubtive property to simplify the expression. -3(6+2
Answer:
-24
Step-by-step explanation:
multiply the 6 by the -3 and the 2 by -3
you get -18+-6
if you add them together u get -24
Hey there!
-3(6 + 2)
= -3(8)
= -24
Therefore, your answer is: -24
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
You need to purchase supplies for an employee appreciation picnic. Your boss gives you the shopping list below and asks that you get the best deal by buying from one grocer, either Quality Groceries or Fresh Market. You call both grocers, and they provide the price information that you put into the table. Which grocer will provide all these picnic supplies for the lowest cost, and what is that cost without sales tax?
Answer:
Hi there, this is what I got but sorry if it is incorrect.
Hamburger Patties Package of 10 $15.50 Package of 8 $12.40
Hot Dogs Package of 12 $6.23 Package of 10 $4.99
Hamburger Buns Package of 8 $3.79 Package of 8 $3.55
Hot Dog Buns Package of 12 $2.75 Package of 8 $2.55
Potato Salad Gallon $4.33 Gallon $5.55
Ice Cream Gallon $7.55 Gallon $6.99
Answer:
its )B
Step-by-step explanation:
what do I do next???
Answer: You have to get rid of the variables (the x's) so subtract 2x from 2x and 11x then go from there.
Step-by-step explanation:
Answer:
3 and 6
Step-by-step explanation:
11x - 53 = x^2 + 2x - 35
Subtract 11x - 53 on both sides,
0 = x^2 + 2x - 35 - ( 11x - 53 )
= x^2 + 2x - 35 - 11x + 53
= x^2 + 2x - 11x + 53 - 35
0 = x^2 - 9x + 18
x^2 - 9x + 18 = 0
Now this equation need to factorized.
x^2 - 9x + 18 = 0
x^2 - 3x - 6x + 18 = 0
x ( x - 3 ) - 6 ( x - 3 ) = 0
( x - 3 ) ( x - 6 ) = 0
x - 3 = 0
x = 3
x - 6 = 0
x = 6
The solutions to this system are 3 and 6.
What is the final cost of a $40 item after a 8% tax is applied
A box has 10 red, 5 blue and 5 yellow balls. Draw 6 balls one by one with replacement. Then calculate the probability that
Answer:
I would say its a 16.5 %
Step-by-step explanation:
Salma received 7/9 of the 81 votes cast for class president. How many votes did she receive?
Answer: 63 votes
Step-by-step explanation:
Simply multiply 81 by 7/9 to get the answer, 63 votes.
Hope it helps :) and let me know if you want me to elaborate.
63
Step-by-step explanation:
(7/9) x 81 = 63
calculate the distance of mars to the sun
Answer:
[tex]r=2.28*10^8km[/tex]
Step-by-step explanation:
This assumes you were given the mass of mars to be [tex]6.39*10^2^3kg[/tex] the mass of the sun to be [tex]1.99*10^3^0kg[/tex] and the gravitational force between the two to be [tex]3.72*10^3^5N[/tex].
I used the formula: (G is the gravitational constant [tex]6.67*10^-^1^1[/tex])
[tex]F=G\frac{m_1m_2}{r}[/tex]
and solved for r
[tex]3.72*10^3^5=6.67*10^-^1^1\frac{6.39*10^2^3(1.99*10^3^0)}{r}[/tex]
[tex]r=\frac{8.48*10^4^3}{3.72*10^3^5}[/tex]
[tex]r=2.28*10^8km[/tex]
What is the area of the following circle?
Either enter the exact answer in terms of π or use 3.14 for π and enter your answer as a decimal.
Answer:
25π or 78.5
Step-by-step explanation:
Area of circle = π[tex]r^{2}[/tex]
r = 5
A = π * 5^2
= 25π
= 78.5
,5³-(2 la puterea 35 x 3 la puterea 36 x cinci la puterea 14)x(2 x 3 la puterea 4x 5 la puterea 19).2 la puterea 4 (d din poza)
Answer: 5³- (2 at power 35 x 3 at power 36 x five at power 14) x (2 x 3 at power 4x 5 at power 19) .2 at power 4 (d in the picture)
Step-by-step explanation:
40 O Wide Mouth You MRW
Solve Multi-step problems Outlevel
Question 2
Carly sold 18 rolls of wrapping paper. That is 2 times as many rolls
as Jasmine sold.
How many rolls of wrapping paper did they sell altogether?
Rolls of wrapping paper sold
Carly
Jasmine
?
rolls of wrapping paper
Answer:
54 wrapping papers sold
How much time will it take Wilson to finish painting the bookcase? Explain.
a
2. During one month, a homeowner used 400 units of electricity and 120 units of gas for a total cost
of $73.60. The next month, 350 units of electricity and 200 units of gas were used for a total cost of
$72. Find the cost of a unit of gas.
Define variables:
Equation:
Equation:
Solution:
Answer:
Step-by-step explanation:
120G + 400E = 73.60
400E = 73.60 - 120G
E = 0.184 - 0.3G
200G + 350E = 72.00
200G + 350(0.184 - 0.3G) = 72.00
200G + 64.4 - 105G = 72.00
95G = 7.60
G = $0.08/unit
Simplify the linear expression.
−2x+3(−5x+1)
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's simply the given expression ~
[tex] - 2x + 3( - 5x + 1)[/tex][tex] - 2x - 15x + 3[/tex][tex] - 17x + 3[/tex]Sally Jones had a policy with a $250 deductible which paid 80% of her covered charges less deductible. She had medical expenses of $18,240.00. What is S
Answer
Find out the insurance company's payment .
To proof
Deductible
The deductible is the amount of money you will pay in an insurance claim before the company starts paying you insurance coverage .
As given
Sally Jones had a policy with a $250 deductible which paid 80% of her .covered charges less deductible
She had medical expenses of $18,240.00.
Amount becomes after deducting deductible = $18,240 - $250
= $17990
80 % is written in the decimal form
now 80% of the Amount after deducting deductible
= $ 14392
Therefore $ 14392 is the insurance company's payment .
Remember To Stay In School
Wink Wink
Answer:3,848
Step-by-step explanation:I took the test.
If the side of a square is increased by 25%, then by how much is its area increased?
Answer:
56.25%Step-by-step explanation:
If a variable X changes by A% and another variable Y changes by B%, then overall net change when the two variables are multiplied is given by :
A + B + AB/100
If the change is “increase” it is positive & if the change is “decrease” it is negative.
In the given question, A = B = 25% ( Both positive as length increase )
And area = Side x Side
Applying our versatile relation :
Net increase in area = 25 + 25 + (25x25)/100 = 56.25%
Value of x 2(x-4)=10
Answer:
x=9
Step-by-step explanation:
F=8
e=0.2
When F=25 find x
Answer:
0.625
Step-by-step explanation:
hope it can help you lovelots
What is the slope of the line on the graph?
Answer:
slope: 4/12
Simplified to: 1/3
Negative slope so: -1/3
Y intercept:4
Form: Y=mx+b
Y=-1/3x+4
as an estimation we are told 5 miles is 8km convert 40 miles to km
Answer:
62
Step-by-step explanation:
Just do 5/8 = 40/x, and cross-multiply to get:
320 = 5x,
And x will be equal to 62
what’s the correct answer??? i will give brainlist
Answer:
yamete kudesai
Step-by-step explanation:
Answer:
I believe it's 2/4.
Step-by-step explanation:
Let me know if it's incorrect.