Answer:
aₙ = -2(2)^(n-1)
Step-by-step explanation:
The surface area of a sphere is 200.96 square centimeters. What is the approximate volume of the sphere? Use 3.14 for π. Round your answer to the nearest hundredth. A. 696.99 cm3 B. 133.97 cm3 C. 267.95 cm3 D. 334.94 cm3
Answer:
267.95cm^3
Step-by-step explanation:
S= 4πr^2
Surface area is 200.96
π= 3.142
200.96= 4×3.142×r^2
200.96= 12.57r^2
r^2= 200.96/12.57
= 15.99
= √15.99
r = 3.9
Volume= 4/3πr^3
= 4/3× 3.142×3.9^3
= 267.95 cm^3
Help me plsssssssssssssssss
Jeffrey's recipe for oatmeal muffins calls for 2 3/4 cups of oatmeal and makes one dozen muffins. If he makes 2 dozen muffins for a club meeting and 1 1/2 dozen muffins for a family reunion, how much oatmeal will he use?
Answer:
5
Jeffrey will use 9 __ cups of oatmeal
8
Step-by-step explanation:
2.75 cups of oatmeal per 1 dozen
2.75 x 2 = 5.5
2.75 + 2.75(1/2) = 4.125
add
5.5 + 4.125 =
9.625 cups of oatmeal
or
9 5/8 cup
PLS HELP DUE ASAP! WILL MARK BRAINLIEST
Answer:
24º
Step-by-step explanation:
C = (1/2)(56 + 116)
C = 86
4x - 10 = 86
4x = 96
x = 24
Justin likes to get 7 hours of sleep. He woke up after sleeping for 5 1/3 hour. How many more hours does he need to get the amount of sleep he likes?
Answer:
He needs 1 hour 40 minutes more to get the amount of sleep he likes or 1 2/3 hours
Step-by-step explanation:
Justin likes to get 7 hours of sleep.
He woke up after sleeping for 5 1/3 hour = 5 hours 20 mins
Number of more hours needed to get the amount of sleep he likes= 7 hours - 5 1/3 hours.
1 hour = 60 minutes
1/3 hours = 60/3 = 20 minutes
Hours Minutes
7 00 when we borrow 1 hour we borrow 60 minutes
5 20
1 40
He needs 1 hour 40 minutes more to get the amount of sleep he likes
or 1 2/3 hours
What is the solution to the inequality -3x - 5 < -20?
Answer: x>5
Step-by-step explanation: Hope this help :D
If f(1)=3 and f(n)=3f(n-1) then find the value of f(6).
Answer:
(n-1)
Step-by-step explanation:
-2/3m = 12 solve for m
Step-by-step explanation:
[tex]\\ \:\:\:\:\sf {:}\dashrightarrow \dfrac{-2}{3m}=12[/tex]
use cross multiplication[tex]\\ \:\:\:\:\sf {:}\dashrightarrow -2=3m\times 12[/tex]
[tex]\\ \:\:\:\:\sf {:}\dashrightarrow -2=6m[/tex]
[tex]\\ \:\:\:\:\sf {:}\dashrightarrow m=\dfrac{-2}{6}[/tex]
[tex]\\ \:\:\:\:\sf {:}\dashrightarrow{\underline{\boxed{\bf{ m=-\dfrac{1}{3}}}}}[/tex]
Jenna multiplied four numbers together and then divided by -2. The result was a positive value.
Which of the following statements MUST be true?
A) An odd number of factors were negative.
B) None of the factors were negative.
C) An even number of factors were negative.
D) All of the factors were negative.
Answer:
c
Step-by-step explanation:
Find the missing values in the Table of Values. Write your numbers from top to bottom in the space below with a comma between each value.
PLEASE DON'T GIVE A LINK OR DELETE THE ANSWER BECAUSE THIS IS MY SECOND TIME POSTING THIS SO PLS PLS PLS GIVE A PROPER ANSWER TO ALL OF THE PICTURES.
Answer:
Alright, with this, its essentially asking for you to plug in X into each equation for the answer.
With the first box, it asks for y = 5 - x, given the x = -2.
y = 5-x
y=5-(-2)
y=5+2
y=7
With the second box down, it wants things a bit differently, it gives you the y value, and wants for you to find the x. Given this, this question can be done backwards for the x value.
y = 5-x
6 = 5-x
x+6= 5
x=-1
With the third one, its the same thing as with the first box.
y = 5-x
y = 5-0
y = 5
Same thing with the fourth one.
y = 5-1
y = 4
If you have any question about the process or the answer, please comment below and I can help explain on what you're stuck on.
Answer:
Picture 1: (-2, 7), (-1,6), (0,5), (1,4)
Picture 2: (-2, -6), (4,6), (0,-2), (1,0)
Picture 3: (-1, -4), (8,5), (1,-2), (5,2)
URGENT THIS IS FOR FINALS CAN SOMEONE PLZ SOLVE IT I will brain list
Answer:
were is the line
Step-by-step explanation:
Answer:
1- y=2x-5
2- y=-1/6x-5
Hope this helps you!!
Can you solve this for x? 7x-1
please help me dont add a link you'll get reported
Answer:
D, 245.0 in^2
Step-by-step explanation:
Formula for the surface area of a cylinder: A=2πrh+2πr^2
A = 2πrh + 2πr^2
A = 2π(3)(10) + 2π(3)^2
A = 60π + 18π
A = 245.044
Answer:
???/
Step-by-step explanation:
Rocco has a weekly reading schedule, reading for 4.5 hours per day on some days and 3.5 hours per day on the other days. He reads a total of 25.5 hours in a seven-day week. On how many days does he read for 4.5 hours?
Answer:
x = days he reads for 4.5 hours = 1 day
y = days he reads for 3.5 hours = 6 days
Step-by-step explanation:
Let
x = days he reads for 4.5 hours
y = days he reads for 3.5 hours
x + y = 7 (1)
4.5x + 3.5y = 25.5 (2)
From (1)
x = 7 - y
Substitute x = 7 - y into (2)
4.5x + 3.5y = 25.5 (2)
4.5(7 - y) + 3.5y = 25.5
31.5 - 4.5y + 3.5y = 25.5
- 4.5y + 3.5y = 25.5 - 31.5
-y = -6
y = 6
Substitute y = 6 into (1)
x + y = 7 (1)
x + 6 = 7
x = 7 - 6
x = 1
x = days he reads for 4.5 hours = 1 day
y = days he reads for 3.5 hours = 6 days
A chord consists of notes that sound good together. The C major chord starting at middle C has the following frequencies: C - 262 Hz E - 330 Hz G - 392 Hz determine the ratio of the frequency of E to C. Express the answer in a simple integer ratio. How many E waves will fit in the length of four C waves. a. 2 b. 3
Answer:
The frequency of note E is:
f(E) = 330 Hz
The frequency of note C is:
f(C) = 262 Hz
The ratio of the frequency of note E to the frequency of note C is just the quotient of these two frequencies:
r = f(E)/f(C) = 330Hz/262Hz = 330/262 = 1.26
Now, we want to find how man E waves will fit in the length of four C waves.
Note that here the word "length" is used, so we need to work with the wavelengths, not with the frequencies.
For waves, we have the relationship:
v = f*λ
where:
v = velocity (in this case, velocity of the sound = 343 m/s)
f = frequency
λ = wavelength.
So, the length of a single E wave is:
λ(E) = (343 m/s)/(330 1/s) = 1.04 m
And the length of a single C note is:
λ(C) = (343 m/s)/(262 1/s) = 1.30 m
In four C waves, the length is:
4*λ(C) = 4*1.30m = 5.2m
The number of E waves that fit in the length of four C waves is equal to the quotient between the length of four C waves and one E wave:
N = (4*λ(C))/(λ(E) ) = (5.2 m)/(1.04m) = 5.14
So we can fit 5 E waves into four C waves.
Answer:
The ratio of the frequency of E to C can be found by dividing the frequency of E by the frequency of C:
330 Hz / 262 Hz ≈ 1.26
To express the answer in a simple integer ratio, we can divide both 330 Hz and 262 Hz by their greatest common factor, which is 2:
330 Hz / 2 = 165 Hz
262 Hz / 2 = 131 Hz
So the ratio of the frequency of E to C is:
165 Hz / 131 Hz = 15/12 ≈ 1.25
This ratio is approximately equal to 5/4
Therefore, the answer is (A) 5 to 4
Can someone plz help me on this plz I beg u
Answer:
8
Step-by-step explanation:
So, lets go over a few things:
First off, all triangles have a total angle of 180 degrees.
Secondly, we know that the first two angles are 57 and 51.
Thirdly, we know that the missing angle is 9x
To solve this, we must add together the known angles, subtract them fro 180, and divide that by 9. This will give us the missing x value.
So, add together the two angles we know:
57+51
=
108
So we know 108 degrees of our triangle. We must find whats left of the 180.
To do this, subtract 108 from 180:
180-108
=
72
So our remaining angle is 72 degrres.
But recall that x isnt the misisng angle, 9x is.
So, to get x on its own, we must divide both the missing angle and 9x by 9:
72=9x
--- ---
9 9
=
8=1x
So now we know that x equals 8.
I hope this helps! :)
Answer:
X = 8
Step-by-step explanation:
Okay so we know that there are a total of 180 degrees in every triangle. We need to create the equation to define the triangle's angles. 51 + 57 + 9x = 180. Then, we will solve for x.
180 = 51 + 57 + 9x we are going to simplify the equation by solving what we can
180 = 108 + 9x * Now we will isolate x
180 - 108 = 9x * Solve the left side of the equation
72 = 9x * Divide both sides by 9
8 = x
your school is having a fundraiser in order to pay for t-shirts. They need to raise $882.69. They have already collected $92.85 in donations. Their goal is to have $190 donated each week. How many weeks do they need to fundraise?
There is 5 weeks do they need to fundraise.
What is the inequality?Inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol.
Your school is having a fundraiser in order to pay for t-shirts.
They need to raise $882.69.
They have already collected $92.85 in donations.
Their goal is to have $190 donated each week.
Let, x be the number of weeks do they need to fundraise.
The number of weeks do they need to fundraise is given by;
[tex]\rm 92.85 +190x > 882.69\\\\190x > 882.69-92.85\\\\ 190x > 789.84\\\\x > \dfrac{789.84}{190}\\\\x > 4.15[/tex]
Hence, there is 5 weeks do they need to fundraise.
Learn more about inequality here;
https://brainly.com/question/15140706
#SPJ2
Solve log2 x = log5 3+1 by graphing. round to the nearest tenth
Answer:
the answer is 3.2
Step-by-step explanation:
x≈3.2
PLEASEEEE HELPPP MEEE.
DUE RIGHT NOW!!
Topic: Math
Solve all the questions
Answer:
1. x= 9
2. x= −2
3. 51 inches
4. $213.11 each month
Step-by-step explanation:
1. Simplify both sides of the equation.
x + 7 + 7x= 25 + 6x
Combine Like Terms
(x + 7x) + (7)=6x + 25
8x + 7= 6x + 25
8x + 7= 6x + 25
Subtract 6x from both sides.
8x + 7 − 6x= 6x + 25 − 6x
2x + 7= 25
Subtract 7 from both sides.
2x + 7 − 7= 25 − 7
2x= 18
Divide both sides by 2.
2x/2= 18/2
2. Subtract 5x from both sides.
x − 5x= 5x + 8 − 5x
−4x= 8
Divide both sides by -4.
−4x/−4= 8/−4
3. First find the perimeter of the trapezoid
4 + 3 + 4 + 8= 19
A square has all equal sides
8 * 4= 32
Add them together
19 + 32 = 51 inches
4. Subtract the amount she put for finance from the total
1598.66 - 320 = 1278.66
Then divide that amount by the 6 months
1278.66 divided by 6 = 213.11
$213.11 each month
A hospital recorded the weights, in ounces, of newborn babies for two weeks. The
results are listed below.
Weights of babies born during week one: 128, 105, 80, 82, 96, 98, 87, 100, 112, 126
Weights of babies born during week two: 75, 85, 90, 97, 89, 105, 110, 127, 129, 130
Which statement is true?
Answer:
The standard deviation for week two was about 3 ounces more than the standard deviation for week one
Step-by-step explanation:
Given
[tex]Week\ 1: 128, 105, 80, 82, 96, 98, 87, 100, 112, 126[/tex]
[tex]Week\ 2: 75, 85, 90, 97, 89, 105, 110, 127, 129, 130[/tex]
See attachment for options
Required
The true statement
Checking the standard deviation
For week 1
Calculate the mean:
[tex]\bar x = \frac{\sum x}{n}[/tex]
[tex]\bar x = \frac{128+ 105+ 80+ 82+ 96+ 98+ 87+ 100+ 112+ 126}{10}[/tex]
[tex]\bar x = \frac{1014}{10}[/tex]
[tex]\bar x_1 = 101.4[/tex]
Then standard deviation
[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n}}[/tex]
[tex]\sigma_1 = \sqrt{\frac{(128 - 101.4)^2 +............+ (126- 101.4)^2}{10}}[/tex]
[tex]\sigma_1 = \sqrt{\frac{2522.4}{10}}[/tex]
[tex]\sigma_1 = \sqrt{252.24[/tex]
[tex]\sigma_1 = 15.88[/tex]
For week 2, we have:
[tex]\bar x = \frac{75+ 85+ 90+ 97+ 89+ 105+ 110+ 127+ 129+ 130}{10}[/tex]
[tex]\bar x = \frac{1037}{10}[/tex]
[tex]\bar x_2 = 103.7[/tex]
Then standard deviation
[tex]\sigma_2 = \sqrt{\frac{(75 - 103.7)^2 +................+ (130- 103.7)^2}{10}}[/tex]
[tex]\sigma_2 = \sqrt{\frac{3538.1}{10}}[/tex]
[tex]\sigma_2 = \sqrt{353.81[/tex]
[tex]\sigma_2 = 18.81[/tex]
Compare the standard deviations
[tex]\sigma_1 = 15.88[/tex]
[tex]\sigma_2 = 18.81[/tex]
Calculate the difference:
[tex]d = \sigma_2 - \sigma_1[/tex]
[tex]d = 18.81 - 15.88[/tex]
[tex]d = 2.93[/tex]
[tex]d \approx 3[/tex]
This implies that option (b) is true
Liam bought a sandwich for $4.75, a bag of chips for $2.30, and a drink for $1.15. The tax was $0.65. He gave the cashier $10.00. How much change should Liam have receive
A. 65
B. 30
C. 10
D. 50
Answer:
50
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
D. 50
Step-by-step explanation:
∠CGF and ∠AFG add up 180° because they are same side interior angles. We can write an equation to model the situation:
m∠CGF + m∠AFG = 180°
And, we can substitute:
3x - 20 + x = 180
4x - 20 = 180
4x = 200
x = 50
Logan has $63 and would like to purchase as many packs of baseball cards as possible to add to her collection. Part A An advertisement in the newspaper shows that each pack of cards costs $1.75. At this price, how many packs of cards can Logan buy? Write the answer in the box. packs
Answer:
36 card
Step-by-step explanation:
because 1 card cost $1.75 and Logan has $63, just divide 63 by 1.75 to get the answer
63÷1.75 =36
PLEEEEASEEE HELP ASAP
In the diagram, the measures of ∠1 and ∠4 are 105°. The measures of ∠5 and ∠8 are 115°. Are lines c and d parallel
a p e x
Answer:
a
Step-by-step explanation:
Answer:
Option A
Step-by-step explanation:
I just got done with this same quiz and i got a 100 .
if i get 1 dollar every 2.4 hours how long will it take to get 30 dollars
Answer:
72 hours to get 30 dollars
Step-by-step explanation:
30 x 2.4 = 72 hours
2.4x30 equals 72 so it would tke 72 hours
hope this helps
If a town with a population of 2000 doubles in size every 89 years what will the population be 267 years from now
Answer:
8,000 or 8·10³
Step by Step:
2000+2000=4000
4000+4000=8000
8000 or 8·10³
Answer:
16000
Step-by-step explanation:
This is essentially is asking 'What is 2000 * 2 * 2 * 2?'.
May I have Brainliest?
Hope that this helps!
A 16 ft ladder leans against a wall so that the base of the ladder is 5 ft away from the base of the wall. How far up the wall does the ladder reach.
Answer:
The ladder would reach 15.2 feet up
if peter has 27 apples and gives Tim 7, how much does peter have?
Answer: 20
Step-by-step explanation:
27 apples - 7 apples = 20 apples
Answer:
Peter has 20 apples
Step-by-step explanation:
27 - 7 = 20
In a hurry
A wire is suspended between two poles. Function f, defined by the given table, represents the elevation, in feet, of a wire at a point x feet from the first pole. x 0 2 4 6 8 10 12 14 16 f(x) 28 26.25 25 24.25 24 24.25 25 26.25 28 Which statement is supported by the table? A. The two poles are 8 feet apart. B. At its lowest point, the wire is 24 feet above the ground. C. At its lowest point, the wire is 8 feet above the ground. D. The two poles are 24 feet apart.
Answer:
B. At its lowest point, the wire is 24 feet above the ground
Step-by-step explanation:
Solve for x in the diagram below.
Step-by-step explanation:
x+(3x+10)=90
4x+10=90
4x=80
x=20 Ans