A geometric series is the collection of an unlimited number of terms with a fixed ratio between them. The value of a₅ is -729.
What is geometrical series?A geometric series is the collection of an unlimited number of terms with a fixed ratio between them.
Given the value of a₁=9 and the value of [tex]a_n=-3a_{(n-1)}[/tex]. Therefore, the value of a₅ can be written as,
a₂ = -3(a₁) = -3(9) = -27
a₃ = -3(a₂) = -3(-27) = 81
a₄ = -3(a₃) = -3(81) = -243
a₅ = -3(a₄) = -3(-243) = -729
Hence, the value of a₅ is -729.
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Each x block shown on the scale has the same weight. See if you can answer the question. When you have your answer, enter it in the box below and select Submit to see if you are correct. How Much Does Each "x" Weight Weigh?
The value of x, given the data From the question is 2
Data obtained from the questionOn the left = 3 + 3xOn the right = 2x + 5Value of x =?How to determine the value of xLeft = Right (since the system is balanced)
3 + 3x = 2x + 5
Collect like terms
3x - 2x = 5 - 3
x = 2
Complete question
See attached photo
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IV. Solve the problem. A lineman divided a 1500 m of wire into 5 parts in the ratio 4: 5:6:7:8. How long is each piece of wire? IV . Solve the problem . A lineman divided a 1500 m of wire into 5 parts in the ratio 4 : 5 : 6 : 7 : 8 . How long is each piece of wire ?
A ratio shows us the number of times a number contains another number. The length of the pieces of wire are 200m, 250m, 300m, 350m, and 400m.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given the piece of wire are in the ratio 4:5:6:7:8. Therefore, the total length of the wire will be,
4x + 5x + 6x + 7x + 8x = 1500m
30x = 1500 m
x = 50 m
Now, the length of the wire will be,
4x = 4(50) = 200m
5x = 5(50) = 250m
6x = 6(50) = 300m
7x = 7(50) = 350 m
8x = 8(50) = 400 m
Hence, the length of the pieces of wire is 200m, 250m, 300m, 350m, and 400m.
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HELP! WILL GIVE BRAINLIEST AND 50 POINTS!
A study showed that low-intensity vibration therapy reduces pain levels in patients with fibromyalgia. During each session in the study, vibration pads were placed on the pain site indicated by the patient. Pain reduction was measured through self-reporting after each session.
Another study is being designed to examine whether low-intensity vibration therapy also reduces pain in patients suffering from ruptured disks in the lumbar region of the back. Three hundred male patients are subjects in the new study.
Part A: What is an appropriate design for the new study? Include treatments used, method of treatment assignment, and variables that should be measured. (4 points)
Part B: If the study consisted of 150 male and 150 female patients instead of 300 male patients, would you change the study design? If so, how would you modify your design ? If not, why not? (4 points)
Part C: Could your design be double-blind? Explain. (2 points)
Answer:
Part A: The appropriate design would be: 300 male patients chosen should be suffering from ruptured disks in the lumbar region of the back, with similar magnitude of pain (or segregating these 300 as per magnitude of pain)
Part B: If the study consisted of 150 male and 150 female patients instead of 300 malepatients, I would change the study design, because the pain level could endure for femalecould vary compare to male.
Part C:Yes, I could design a double-blind, because it is a very good ways to show theeffect of the therapy because neither the participants nor the researchers knows whichgroups of participants is assigned to which treatment, and who are the groups of participant receiving it.
OX and OY are two straight lines which intersect at an acute angle of 60°. OX = 4.5cm and OY = 5cm . The point M is on OX such that OM = 2MX Find a point P within the acute angle formed by OX and OY which is always the same distance from OX and OY and 3 cm from M.
Therefore the point P is at 3.46 cm from O and it lies on the angle bisector of ∠XOY
What is an Angle Bisector ?The ray that bisects the angle into half is called Angle Bisector.
It is given that ∠XOY = 60 degree
the length of OX = 4.5 cm
OY =5 cm
The point M is on OX such that
OM = 2 MX
so The M is at 3 cm from O
The point P lies in the acute angle such that the distance between point P and OX and OY is always same and at 3 cm from M
According to the angle bisector theorem converse states that if a point is in the interior of an angle and is at equal distance from the sides then it lies on the bisector of that angle.
As it can be seen from the image that a point equidistant from the rays , at 3 cm from M will be at
By Pythagoras Theorem
3² +3² = OP²
OP = 2[tex]\sqrt{3}[/tex] = 3.46 cm from O
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You have a dog walking business. You charge based on the weight of the dogs. For a 45-minute walk your prices are:
For dogs that weight 0 up to 15 lbs. you charge $5.00.
For dogs between 15 lbs. and 45 lbs. you charge $7.00
Dogs over 45 lbs. you charge $9.00.
Answer the following questions:
1. If a customer has a 6 pound Chihuahua how much would you charge?
2. If a customer has a 65 pound Labrador how much would you charge?
3. Define the variables:
4. Write a piecewise function for dog walking business, including the conditional statement for the variables.
5. Graph the function.
PLEASE ANSWER ALL FIVE PLEASEEAAAA
The density of copper is 8.94 g/cm^3. What is the mass of a rectangular sheet of copper: 10 cm wide, 45 cm long, and 0.2 cm thick?
trigonometry is so hard help me
Answer:
The answer is tanx
Step-by-step explanation:
This is because, when you graph the trigonometric functions, which can be reresented as: a*(trig sign)*bx + K, the period of the function for sin, cos, csc, and sec are all 2pi divided by "b". However, the formula to find the function of tan or cot graphs is pi divided by b. And, since we don't see any values being multilied to the x in the choices, and we calculate the period for each of them, it concludes that tanx, has a period of pi
Which figure has two circular faces?
Figure A
O figure A
Ofigure B
figure C
figure D
Figure B
Figure C
Figure D
A cylinder is a 3D shape having two circular faces.
The answer is Figure A
help help help help help
Answer:
2/3 + 9.26 is rational
:)
Margret divides a packet of 20 biscuits among her 8 friends. Find the number of biscuits each friend gets. Express the answer as a rational number
The number of biscuits each friend can get would be 2.5.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Margret divides a packet of 20 biscuits among her 8 friends.
In order to find the number of biscuits each friend gets.
20 / 8
= 2.5
Hence, the number of biscuits each friend can get would be 2.5.
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Understand equivalent ratios in the real world
Ani thinks the perfect milkshake has 5 scoops of ice cream for every 3 spoonfuls of caramel. Freeze Zone makes
"batches of milkshakes with 10 scoops of ice cream and 7 spoonfuls of caramel.
What will Ani think about the amount of caramel in Freeze Zone's milkshakes?
Choose 1 answer:
Freeze Zone's milkshakes have too much caramel.
Freeze Zone's milkshakes have too little caramel.
Freeze Zone's milkshakes are just right.
Answer:
They have too much caramel
Step-by-step explanation:
The ratio to the perfect milkshake would be 5:3 (5 ice-cream, 3 caramel)
The ratio for freeze zones milkshakes are 10:7 (10 ice-cream, 7 caramel)
As you can see the amount of has ice-cream has doubled (5x2=10)
but the amount of caramel has increased more than double (double would be 3x2=6 but its not it is 7)
Therfore there is too much caramel for the 'perfect milkshake'
Hope this helps :)
Answer:
It is she will think there is too much caramel
Step-by-step explanation:
This is because the ratio of 5:10 is 1:2, so you will have to multiply 3 by 2, which is 6, which is smaller than 7.
Please help, performance task: trigonometric identities
The answers are given below:
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles.
1. (cos x. cos y)(tan x + tan y) = sin (x+ y)
(cos x. cos y)(tan x + tan y)
= cos x. cos y (sinx/ cos x + sin y/ cos y)
= sin x cos y + sin y cos x
= sin (x+ y) [ sin ( x +y)]= sin x cos y + sin y cos x
= RHS
3. [tex]-\sin ^2\left(x\right)-\cos \left(2x\right)=0[/tex]
Using identity
[tex]-\cos ^2\left(x\right)=0[/tex]
cos ² x=0
Applying [tex]x^{n} =0[/tex] then x=0
So, cos x =0
General solution will be [tex]x=\frac{\pi }{2}+2\pi n,\:x=\frac{3\pi }{2}+2\pi n[/tex].
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On Monday, a packaging company put together 450x packages of 45 cashews. On Tuesday, the company put together 175 less packages with 15x more cashews in each bag. Which of the following equations could be used to determine how many cashews were packaged on Tuesday?
Answer:
275x packages of 720 cashews
Step-by-step explanation:
450-175=275
(a+1)b
a=15 and b=45
(15 + 1) x 45 = 720
How do I even figure this out??
The value of a is 1/64.
The rules of the exponent are
(a) [tex]a^m*a^n=a^{m+n[/tex]
(b)[tex]a^m/a^n=a^{m-n[/tex]
(c)[tex](a^b)^c=a^{bc}[/tex]
(d) [tex]\sqrt[n]{a}=a^{1/n[/tex]
(e) a⁻ⁿ=1/aⁿ
From the table it is clear that
By the rule of the exponent a⁻ⁿ=1/aⁿ
where a=2
2⁻¹ = 1/2¹ = 1/2
2⁻² =1/2² =1/4
2⁻³ =1/2³ =1/8
2⁻⁴ =1/2⁴ =1/16
2⁻⁵ =1/2⁵ =1/32
So we have to calculate the left one where it is given that we have to estimate the value for 2⁻⁶ which is a.
From the above, it is clear that 2⁻ⁿ =1/2ⁿ
using the above formula
2⁻⁶= 1/2⁶ =1/64= a
Therefore the value of a is 1/64.
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Will bought a new skateboard that was on sale. The original price of the skateboard was $60. The store had marked it down by 20 percent, and Will had a 25 percent off coupon as well.
We conclude that after the discount and the coupon, Will paid $36 for the skateboard.
How much did Will pay for the skateboard?We know that the original price was $60, and two discounts were applied. One of 20% and other of 25%.
Then the amount that he paid is given by:
P = $60*(1 - 20%/100%)*(1 - 25%/100%)
P = $60*(0.8)*(0.75) = $36
We conclude that after the discount and the coupon, Will paid $36 for the skateboard.
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Is there an end to prime numbers?
[tex]\huge\purple{Hi!}[/tex]
Except for 2 and 5, all prime numbers end in the digit 1, 3, 7 or 9.
What’s not located on a coordinate plane?
Answer:
umm a plane that's all.
dangit and I don't know
Instructions: Rewrite the equation in Slope-Intercept Form. y−2=−2/5(x−5)
The equation in Slope-Intercept Form is y = -2/5 x + 4.
We have given that,
y−2=−2/5(x−5)
We have to rewrite the equation in Slope-Intercept Form.
What is the slope-intercept form of the line?
slope-intercept form is y = mx + b
for equation y - 2 = -2/5 (x - 5) we need to simplify/rearrange
so y - 2 = -2/5 x + -2/5 (-5)
= -2/5 x + 2
=> y = -2/5 x + 4
This line has a gradient of -2/5 (goes down 2 units and across 5 units) and a y-intercept of 4 so passes through the point (0,4).
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Hey can I have help on this question with an explanation please :)
Step-by-step explanation:
i hope this is helpful!........
What is the y-value when x equals 23?
y = 460 - 11(x)
help please i need answer ASAP
If the result is reflected over x-axis and vertically stretched by a factor of 5, the result will be g(x) = -5(x - 1)²
Transformation of functionsTransformation is a way of changing the position of an object o the xy plane. Given the parent function expressed as
f(x) = x^2
If the function is shifted to the left by unit, then we will have h(x) = (x - 1)²
If the result is reflected over x-axis and vertically stretched by a factor of 5, the result will be g(x) = -5(x - 1)²
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pls help
B (20,25) (12,9)
C (150,125) (96,64)
D ( 25, 150) (16,96) (9,54)
E (5,125) (4,64)
Answer:
Side Length and Perimeter of One Face
Step-by-step explanation:
See attached image.
Suzanna’s doctor told her to lose 9 kg, which was 10% of her body weight.
a) How much did Suzanna weigh?
b) If Suzanna lost 12% of her body weight, what is her new weight?
(a) 10% of x = 9
x = 9 ⋅ (100/10)
x = 90 kg
(b) 12% of x = 12/100 of 90
Weight she lost = 10.8
Her new weight = 90 - 10.8
= 79.2kg
Solve the following:
(20 - 5²) (16+2²)
-2³ + (3 x 2²)
Give your answer in simplest form.
Answer:
-96
Step-by-step explanation:
(20-25)(16+4)-8+(3x4)
=(-5)(20)-8+12
=-100-8+12
=-96
5. Carla babysits and tutors to make extra money. She babysits for $5 an hour and tutors for $10 an hour.
She can only work at most 15 hours a week. She wants to go on a trip with her friend and needs to
make $95 dollars this week to cover the cost of the trip. Graph a system of linear inequalities that
represents this situation. Using this graph, identify at least one combination of hours that will NOT be a
solution to this system of inequalities.
I
Carla can babysit for 5 hours and tutor for 7 hours or babysit for 8 hours and tutor for 5.5 hours
How to graph the inequality?Let x represents hours babysitting and y represents hours tutoring
So, we have:
Earnings = Rate of babysitting * x + Rate of tutoring* y
This gives
Earnings = 5x + 10y
He wants to earn at least $95.
This means that:
5x + 10y ≥ 95
See attachment for the graph of the inequality
From the attached graph, two possible solutions are: (5, 7) and (8, 5.5)
This means that Carla can babysit for 5 hours and tutor for 7 hours or babysit for 8 hours and tutor for 5.5 hours
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The entire graph of the function h is shown in the figure below.
Write the domain and range of h using interval notation.
Answer:
Step-by-step explanation:
A student is trying to solve the system of two equations given below:
Equation P: x+y=8
Equation Q: 2x + 5y = 24
Which of the following steps can be used to eliminate the x term?
02(x+y=8)
O-2(x+y=8)
O-1(2x + 5y = 24)
O-2(2x + 5y = 24)
Step-by-step explanation:
as the following pic answer should be × -2
Answer:
O -2(x+y=8)
Step-by-step explanation:
If you put the problems beside each other, they look like this;
2x + 5y = 24
x + y = 8
So you are trying to find a way to simplify the x's
Step 1;
See if there are any numbers that you could multiply to the bottom problem that would help you get rid of the x specifically.
In this case, -2 would cancel out that other 2 right? Because if you added them, they cancel each other out; 2 -2 = 0
Step 2:
if you multiply, you have to do it to the entire problem;
-2(x + y = 8) (-2 times x, -2 times y, -2 times 8)
-2x + -2y = -16
Step 3:
Go back to your original problem and work it out;
2x + 5y = 24
-2x + -2y = -16
2x and -2x cancel each other out so now you only have;
5y = 24
-2y = -16
Step 4:
Combine like terms;
5y = 24
-2y = -16
3y = 8
Divide by 3
y = 2.6
PLEASE HELPPPP
one gym membership charges $10 a month with a sign-up fee of $45. Another gym does not charge patrons a sign-up fee but costs $25 a month. at what month is the total cost of both memberships the same?
Answer:
3 MonthsStep-by-step explanation:
Please give me Brainliest!
Which two numbers does √√61 lie between on a number line? O 7.7 and 7.8 O 7.8 and 7.9 O 7.9 and 8.0 Stm O 8.0 and Which two numbers does √√61 lie between on a number line ? O 7.7 and 7.8 O 7.8 and 7.9 O 7.9 and 8.0 Stm O 8.0 and 8.1
Answer:
B) 7.8 and 7.9
Step-by-step explanation:
Taking the square root of 61, we can conclude that the decimal form is 7.810, which falls between the range of 7.8 and 7.9
Answer:
√61 lie between 7.8 and 7.9
Linda purchased a birthday gift from Bed Bath and Beyond for her mother. After applying the
coupon below Linda received a $12.25 discount off her purchase. What was the price of the
gift before and after the discount?
PLS HELP SOLVE !!!
Answer:
Before discount = $61.25
After discount = $49.00
Step-by-step explanation:
Given information:
Discount = $12.25Coupon = 20%The price of the gift before the discount is 100%.
If the $12.25 discount was 20% of the purchase price, then:
⇒ original price (before discount) = (12.25 / 20) × 100 = $61.25
To find the price after the discount, simply subtract the discount from the found original price:
⇒ $61.25 - $12.25 = $49.00
Conclusion
Before discount price = $61.25After discount price = $49.00