3x+5=0
3x=0-5
3x=-5
Divide both sides by 3
-1.6666.......
Hope it helps.
As for mod 9, I don't understand.
Answer:
\(x=-\cfrac{5}{3}\)
\(x=-1.666\)
Step-by-step explanation:
\(3x+5=0\)
\(3x+5-5=0-5\)
\(3x=-5\)
\(\cfrac{3x}{3}=\cfrac{-5}{3}\)
\(x=-\cfrac{5}{3}\)
What is the volume of the cylinder below?
9^6^8
O A. 432pi units3
B. 216pi units3
O C. 324pi units3
D. 288pi units3
Answer:
Step-by-step explanation:
288pi units3
The volume of the cylinder in the image given is: 288pi units³.
What is the Volume of a Cylinder?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
here, we have,
we know that,
Volume of a cylinder = πr²h,
where:
r = radius of the cylinder
h = height
Given the following:
r = 6 units
h = 8 units
Volume of the cylinder = 288pi units³
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Question 1 (1 point) Saved Is the following statement True or False? We want to use the formula A = ½ab(sin(C)). Consider an obtuse triangle ABC. We know the lengths of a,b and c. but only know the angle for B. Are we are still able to use this formula? True False
Answer:
1). True
2). x = 16.4 m^2
3). A = 24, h = 4
4). A = 18.39
5). 162
Step-by-step explanation:
I took this quiz on K12 and got everything correct! Brainliest welcome! :)
15.Solve the given equation over the interval [0, 2x): 6 tan2 x + 13 tan x + 6 = 0.0x=tanand x=tan32x=-- and x=32x = -0.983 and x = 1 - 0.588 and x = 2.11 - 0.983 and x = 2.0 - 0.588x = -0.588 and x = -0.983
The answer is
x = tan-1 (-2/3)
x = tan-1 (-3/2)
SOLUTION
we can substitute tan x with variable y
we will have a quadrat
You and your client are reviewing a section of pipe on a construction plan. The client says the pipe length is 7 feet 5 1/8 inches. You need to write the pipe length on the plan as a decimal number of feet rounded to the nearest 0.01 foot. What decimal number u write on the plan?
The length of section of pipe on the construction plan on conversion of units from feet to inches, 7 feet 5 1/8 inches will be 7.427 feet. On rounding off to the two places after decimal the length will be 7.43 feet.
How do we convert feet to inches or vice versa?We know that 1 foot = 12 inches. In order to convert feet into inches we'll multiply the given number by 12. Similarly to convert given inches to feet, we'll divide the given number by 12.
Here the length of pipe= 7 feet 5 1/8 inches
To convert 5 1/8 inches to feet: Divide by 12 {1 foot =12 inches}
=\(\frac{41}{8\\}\) ÷ 12
=\(\frac{41}{8}\) × \(\frac{1}{12\\}\)
5 1/8 inches =\(\frac{41}{96\\}\) feet
Now, 7 feet 5 1/8 inches = 7 feet + \(\frac{41}{96} \\\) feet
= 7 feet + 0.4270 feet
=7.4270 feet
=7.43 feet
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The principal amount of money for this loan is $9,500.00. If you deposit this into an account paying 4.2% annual interest compounded monthly. How much money will be in the account after 5 years? (also called Future value).
9514 1404 393
Answer:
$11,715.65
Step-by-step explanation:
The applicable formula is ...
FV = P(1 +r/n)^(nt)
where principal P earns interest at rate r compounded n times per year for t years.
FV = $9500(1 +0.042/12)^(12·5) = $9500(1.0035^60) ≈ $11,715.65
The account will hold $11,715.65 after 5 years.
Pls help me I am stuck tysm
a) The initial deposit in the account is given as follows: 1,287.39 euros.
b) The interest rate of the account is given as follows: 3%.
How to obtain the balance using simple interest?The equation that gives the balance of an account after t years, considering simple interest, is modeled as follows:
A(t) = P(1 + rt).
In which the parameters of the equation are listed and explained as follows:
A(t) is the final balance.P is the value of the initial deposit.r is the interest rate, as a decimal.t is the time in years.Considering the balances after 5 and 6 years, the interest rate is obtained as follows:
r = 1524.60/1480.50 - 1
r = 0.03.
Considering the balance after 5 years, the initial deposit is obtained as follows:
P(1 + 0.03 x 5) = 1480.5
P = 1480.5/1.15
P = 1,287.39 euros.
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Please help me this is a big grade for me and I’m very confused on this whole page
Answer: 5) 2, -8, 32, _,_
I believe that it would be -64, then 128
Step-by-step explanation:
Bc its positive then negative and its being multiplied by -4 each time so when you mutiply a negative to a negative its a positive which is were the positives and negatives come from. :)
What’s the quotient of 5 divided into 68
Answer:
13.6
Step-by-step explanation:
5 divided into 68 is basically the same thing as 68 divided by 5.
68/5 is equal to 13.6
The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with grams of a radioactive isotope, how much will be left after 4 half-lives?
After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.
The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:
Amount remaining = Initial amount × (1/2)^(number of half-lives)
In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.
So, the equation becomes:
Amount remaining = Initial amount × (1/2)^4
Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.
Simplifying the equation:
Amount remaining = Initial amount × (1/16)
Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.
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need help asap please!!
Answer:
b = 39
Step-by-step explanation:
The two sides are equivalent so we can use this information to form an equation.
2b - 39 = b
-39 = -b
39 = b
Need help with homework
Answer: A is (8.5,4) B is (2.5,1.5)
Step-by-step explanation:
12 ÷ (4 − (6 × 2 − ((3 + 3) × 2 − 1)))
Answer:
Step-by-step explanation:
12 ÷ (4 − (6 × 2 − ((3 + 3) × 2 − 1)))
12 ÷ (4 − (12 − ((3 + 3) × 2 − 1)))
12 ÷ (4 − (12 − ((6) × 2 − 1)))
12 ÷ (4 − (12 − (12 − 1)))
12 ÷ (4 − (12 − 11)))
12 ÷ (4 − (1))
12 ÷ (4 − 1)
12÷3
4
plz help me this is a final!!!
Answer: (a) 10 (b) 1. 10 2. -10 (c) 1. 10 2. 10
Step-by-step explanation:
What are the factors of 42 to find it’s prime numbers and how do I put it in a factor tree
Answer:
See below
Step-by-step explanation:
Starting with 42, there would be two branches of 2 and 21 connected to 42. Since 2 is prime, there are no more branches. Since 21 is composite, then two more branches are drawn of 3 and 7 connected to 21. Since 3 and 7 are prime, there are no more branches.
Therefore, the prime factorization of 42 is 2*3*7, and its factors would be 1,2,3,6,7,14,21,42.
Dionna rode her skateboard at a speed of 10 miles per hour. Which statement is correct?
If she covered 2.5 miles, she rode for 0.25 hours.
If she covered 2.5 miles, she rode for 4 hours.
If she covered 4 miles, she rode for 0.25 hours.
If she covered 4 miles, she rode for 4 hours.
Answer:
She covered 2.5 miles, she rode for 0.25 hours.
Step-by-step explanation:
0.25*10=2.5
Suppose that prices of recently sold homes in one neighborhood have a mean of $270,000 with a standard deviation of $8400. Using Chebyshev's Theorem, state the range in which at least 88.9% of the data will reside. Please do not round your answers.
Answer:
The range in which at least 88.9% of the data will reside, ($244,800, $295,200).
Step-by-step explanation:
The Chebyshev's theorem states that, if X is a random variable with mean µ and standard deviation σ then for any positive number k, we have
\(P \{|X -\mu| < k\sigma\} \geq (1-\frac{1}{k^{2}})\)
Here \((1-\frac{1}{k^{2}}) = 0.889\).
Then the value of k is:
\(k = [\frac{1}{ 1-0.889}]^{1/2} = [\frac{1}{0.111}]^{1/2} = 3.0015\approx 3\)
Then we know that,
|X - µ| ≥ kσ
⇒ µ - kσ ≤ X ≤ µ + kσ.
Here it is given that mean (µ) = $270,000 and standard deviation (σ) = $8400.
Then, the price range is given by,
\(\mu - k\sigma \leq X \leq \mu + k\sigma\)
\(270000-(3\times 8400)\leq X\leq 270000+(3\times 8400)\)
\(244800\leq X\leq 295200\)
Thus, the range in which at least 88.9% of the data will reside, ($244,800, $295,200).
the book store had a new bookshelf that could hold 62 books the owner put 5 books on each of the shelves and the rest back in his office how many books are in his office
Answer:
The number of books in the owner's office are 4.
Step-by-step explanation:
It is given that the book store had a new bookshelf that could hold 62 books the owner put 5 books on each of the shelves and the rest back in his office.
Now, let us assume the there are 'n' number of total books that the owner have with him;
=> total books = n
and the total books the shelf could hold is;
=> total books the shelf could hold = 62
Further, it is provided that the owner put 5 books on each of the shelves and the rest back in his office;
=> n = 62/5
=> n = 12.4
Therefore, the number of books in the owner's office are 4.
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I needed help with question #29. Thank you. Sorry the picture is a bit blurry.
Answer:
1.3 in
Step-by-step explanation:
If 0.75 is 0.55 less than the average amount, the answer must be 0.75 + 0.55 = 1.3 inches.
Answer:
1.3 in
Step-by-step explanation:
Archie bought 100 shares of stock in an ice cream company 2 years ago. He paid $60.65 per share. He just sold all of his shares for $67.68 per share. How much did he gain?
Answer:
Step-by-step explanation:
First, we need to find the difference between the price that he sold the shares for and the price that he bought them at: (67.68-60.65) = 7.03
That means that there was a gain of $7.03 per share for Archie.
That being said, since Archie bought 100 shares, we can multiply that number by 100 to find the total gain from selling the shares:
(7.03x100)= 703
The answer then is:
Archie gained $703 from selling all of his shares.
what is the measure of x
Answer:
x = 9 inches
Step-by-step explanation:
You want the value of x in the similar triangles shown.
ProportionCorresponding sides are proportional. This means the ratio of the horizontal side of the triangle to the vertical side is the same for both.
6/4 = (6+x)/10
15 = 6 +x . . . . . . . . multiply by 10
9 = x . . . . . . . . . subtract 6
The measure of x is 9 inches.
__
Additional comment
You could also write the proportion ...
6/4 = x/(10 -4)
x = 36/4 = 9 . . . . . . . multiply by 6
You can see this if you draw a horizontal line through the figure at the top of the side marked 4 in.
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this is 1 question 3 stepswhat is the formula for:1. to find z scores2. to find x values3. how do you find confidence intervals for means and proportions? Write a sentence or share an example
(1) Find the formula for z scores.
Before we find the formula, let's know what z scores means.
Z- score is simply the raw score minus the population mean, divided y the population standard deviation.
So, the z-score formular is:
z = x - μ
σ
Where:
x is the raw score
μ is the population mean
σ
For ()=‾‾√, use the values of (144) and (169) to estimate the value of 155‾‾‾‾√.
The square root of 155 is estimate according to the following compound inequality:
12 < sqrt(155) < 13.
What is a compound inequality?A compound inequality is a combination of multiple inequalities, at least two, involving operations such as and and or, explained below.
The and operation between multiple sets is composed by the elements that belong to all the sets.The or operation between multiple sets is composed by the elements that belong to at least one of the sets.Hence one example of a compound inequality is:
a ≤ x ≤ b.
Which is read as follows:
x is greater or equal than a and less or equal than b.
For this problem, we have that:
12² = 144, hence sqrt(144) = 12.13³ = 169, hence sqrt(169) = 13.Considering that 155 is between 144 and 169, and the square root function is increasing over it's entire domain, the square root of 155 is estimate according to the following compound inequality:
12 < sqrt(155) < 13.
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Given the equation, proof it
Answer:
Step-by-step explanation:
I forgot to add the last reason is AAS (two angles one side are congruent = triangles are congruent)
S.
1.Given
2. AE = EC
3. <AEB = <CED
4. <CDE = <ABE
5. triangles congruent
R.
1. Given
2. Segment bisector theorem
3. Vertical angles theorem
4. PAI Theorem
Hope this helps!
Bob has 28 shirts to fold.
Let N be the number of shirts he would have left to fold after folding F of them.
Write an equation relating N to F. Then use this equation to find the number of shirts he would have left to fold after folding 26 of them.
How do you put extra effort into your papers to make them "high quality?" What new strategies have you learned in this lesson that you can apply to your next paper?
Answer:
This is what I put:
"Putting extra effort into your work would include actions like using synonyms, avoiding too many contractions (words like "can't" or "don't" in grammar), and refraining from including your opinion in order to stay professional (unless the topic requires it). The "6 Trait Philosophy/Writing" strategy is what I plan to use in future papers. This strategy contains the 6 "steps" or "tips" for better writing, which are organization, conventions, ideas, fluency, voice, and word choice. And, of course, the standard formatting guidelines."
Step-by-step explanation:
I got 100% on Edge.
Answer:
"Putting extra effort into your work would include actions like using synonyms, avoiding too many contractions (words like "can't" or "don't" in grammar), and refraining from including your opinion in order to stay professional (unlin ess the topic requires it). The "6 Trait Philosophy/Writing" strategy is what I plan to use in future papers. This strategy contains the 6 "steps" or "tips" for better writing, which are organization, conventions, ideas, fluency, voice, and word choice. And, of course, the standard formatting guidelines."
Step-by-step explanation:
5
Σ2n + 1 1
N=1
Please help!
Answer:
The series is convergent and: ∞∑n=12nn!=e2−1. Explanation: The ratio test states that a sufficient condition for a series: ∞∑n=0an.
Step-by-step explanation:
hope i helped
The diagram shows a square.
(6x - 1) cm
Find the length of the side of the square.
Your final answer must say, side = . . . cm
(4x + 6) cm
Cm=?
+
The length of the side of the square is given as follows:
20 cm.
How to obtain the side length of the square?In the figure, there are two expressions used to give the side length to each square, as follows:
6x - 1.4x + 6.In a square, all the four side lengths have the same length, hence the value of x is obtained as follows:
6x - 1 = 4x + 6
2x = 7
x = 3.5 cm.
Then the side length of the square is obtained as follows:
6(3.5) - 1 = 20 cm.
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Owen receives $10 and puts it into his saving account. He adds $0.50 to the account each day for a number of day, d, after that. He writes the expression 10+ 0.5(d-1) to find the amount of money in his account after d days. Which statement about his expression is true?
The true expression about the account is D.) It is the sum of the initial amount and the additional amount after d days.
What does the expression 10+0.5(d−1) represent in Owen's savings account?The answer is D because it represents the sum of the initial amount and the additional amount after d days. The initial amount is $10 and Owen adds $0.50 to the account each day for a number of days, represented by d.
By subtracting 1 from d, the expression ensures that on the first day (when d=1), only the initial $10 is counted. On each subsequent day, the additional amount of $0.50 is added to the total. Therefore, the expression 10+0.5(d−1) gives the amount of money in Owen's account after d days.
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A student is using the elimination method to solve the system of equations below. What is the best first
step?
4x - 5y = 2
2x + y = -3
Answer:
The best first step would be to multiply the second equation by -2
Step-by-step explanation:
The best first step would be to multiply the second equation by -2
then you would have the following
\(\ \ \ \ \ \ 4x - 5y = 2 \\-2*(2x)+ (-2)*y = (-2)*3\)
and when you multiply it is easy to eliminate because you will get
\(4x - 5y = 2 \\-4x -2y = 6\)
and if you sum the equations you get
-7y = 8
so that is a single variable equation which is easier to solve.
The astronauts of Expedition 28 on the international Space Station spend 15 weeks in space. Convert the time to minutes.