Answer:
An arithmetic sequence has a constant difference between each term. ... A geometric sequence has a constant ratio (multiplier) between each term. An example is: 2,4,8,16,32,… So to find the next term in the sequence we would multiply the previous term by 2.
Step-by-step explanation:
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find the three postive consecutive integers such that the product of the smallest and the largest is 17 more than 3 times the median intger
Answer:
find the three postive consecutive integers such that the product of the smallest and the largest is 17 more than 3 times the median intger
Answer: 5, 6, 7
Step-by-step explanation:
Let three positive consecutive integers equal to x, x+1, x+2
Hence,
[tex]\displaystyle\\x(x+2)-3(x+1)=17\\x^2+2x-3x-3=17\\x^2-x-3-17=17-17\\x^2-x-20=0\\x^2-5x+4x-20=0\\x(x-5)+4(x-5)=0\\(x-5)(x+4)=0\\x-5=0\\x-5+5=0+5\\x=5\in\ (x > 0)\\x+4=0\\x+4-4=0-4\\x=-4\notin\ (x > 0)\\5+1=6\\5+2=7[/tex]
A librarian is sorting books. He has 15 crates that are each filled with 22 books. How many books does this librarian have to sort?
Answer:
330
Step-by-step explanation:
15 crates × 22 books each = 330 books
Therefore, the librarian has 330 books to sort.
3. The expression 2x+6 is equal to 9 for some value of x. Without finding the value of x, determine the
values for each of the following expressions. Show how you arrived at each answer.
(b) 2x+9
(a) 4x+12
2 (2x+6)
2(a)
18
(d) -6x-18
-3(2x+6)
-3(a)
-27
(e) 2x+1
22460
(c) x+3
26200
(f) 10x+32
in of
Answer:
E, B, 2 = (2x + 6)
Step-by-step explanation:
I think those are correct.
After finding the fish you would like to take home to cook, you discover it cost $2 to wrap the fish and $4.50 per pound. Another vendor is selling another fish for a flat rate of $5 per pound. Set up an equation to determine how many pounds of fish would result in the same cost. Then, solve the equation.
8000(1+i)^8 solve for i
Answer:
128,000
Step-by-step explanation:
➟ 8000(1+i)8
➟ (8000 + 8000i)8
➟ 64000 + 64000 = I
➟ I = 128000
Simplify as far as possible.
2√3+3√3
Answer: 0.51639777..
Step-by-step explanation:
the density of a certain material is such that it weighs 3 grams per fluid ounce of volume. express this density in ounces per liter. round your answer to the nearest hundredth.
The density in ounces per liter is 3.57826 rounding off = 3.58
Density of a substance can be defined as a relationship between the mass and the volume of that substance.
[tex]Density=\frac{Mass}{Volume}[/tex]
For Example if a metal have a mass 0f 7gm and volume as [tex]5cm^{3}[/tex]
[tex]Density=\frac{7}{5} = 1.4g/cm^{3}[/tex]
we know that 1 gram/fluid ounce of volume = 1.19275 ounces/liter
1 gm/fluid ounce =1.19275 ounces/liter
3 gm/fluid ounce = 3*1.19275 ounces/liter
So 3 gm/fluid ounce = 3.57826 ounces/liter
On rounding it to nearest hundredth we get 3.58 ounces/liter
Therefore the density of the material which weighs 3 gm/fluid ounce in ounces/liter is 3.58.
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label each quantity as an exact or inexact number. the four bicycles in the family have been ridden for a total of 250 mi. a child fell and had a 4-cm laceration that required 12 stitches.
Both statements can be included in the exact numbers category.
Maple provides two kinds of numbers: exact and inexact. If you do arithmetic with exact numbers (and they aren't too large) the answer that you get back is exactly right. If you do arithmetic with inexact numbers (and they aren't too large or too small) the answer may have a small amount of roundoff error. Although we'll treat this distinction at length in future lessons, it is convenient to take a preliminary look right now.
consider the four bicycles in the family have been ridden for a total of 250 mi.
The above statement can be categorized into exact numbers as 4 and 250 are countable.
Now, consider a child fell and had a 4-cm laceration that required 12 stitches.
The above statement can be categorized into exact as the numbers 4 and 12 are countable.
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Exercise
Respond to the following based on your reading.
1. Which numbers are to the right of 0 on the number line?
2. Which numbers are to the left of 0 on the number line?
3. Is 0 an integer?
4. Draw a number line with integers from –3 to 6.
5. Solve the problems:
a. −8 + 0 =
b. 1 × (−14) =
c. 19 ÷ 1 =
d. 0 × 104 =
e. −21 − 0 =
Answer:
please solve this question 4²×3³×(-1)¹²²
make b the subject of p=1/2ab^2+c
The variable b as the subject of the formula is b = √2(p -c)/a
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to make b the subject of the equation?The equation is given as
p = 1/2ab^2 + c
Subtract c from both sides of the equation
So, we have
1/2ab^2 = p - c
Multiply through by 2
ab^2 = 2(p -c)
Divide by a
b^2 = 2(p -c)/a
Take the square root of both sides
b = √2(p -c)/a
Hence, b as the subject of the formula is b = √2(p -c)/a
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The length of a rectangular sign is 3 feet longer than the
width. If the sign's area is 54 square feet, find its length and
width.
(Anyone else taking Algebra 2?)
Answer:
length is 9 and width is 6
Step-by-step explanation:
List the factors of 54 and choose the numbers that only have a difference of 3. In this case it is 6 and 9, then put them in the order they go based on the instructions.
17. The difference of a number and 12 is three. Find the number.
what is the distributive property of 57 x 9
Answer:
I believe the answer is (50 x 9) + (7 × 9)
You have to expand 57 which is 50 + 7 and multiply each by 9. Hope it helps!!
a random sample of 12 tests for two different drugs revealed the following times (in minutes) until the effects of the drug were neutralized.which drug appears to be effective longer?
Drug A is more effective since mean time of effects of Drug A>mean time of effects of Drug B.
What is Random sampling?
Each sample has an equal chance of being picked as part of the sampling procedure known as random sampling. A randomly selected sample is intended to provide a fair reflection of the entire population. Sampling mistake occurs when, for any reason, the sample does not accurately reflect the population.
One of the most straightforward methods for gathering information from the whole population is random sampling. Each member of the subset has an equal chance of being picked as part of the sample process when using random sampling.
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I WILL GIVE 35 POINTS TO THOSE WHO ANSWER THIS PROBLEM RIGHT NOOOO SCAMS
Using translation concepts, we have that:
4. The type is f(x + k), with k = 3, and a horizontal shift.
5. The type is kf(x), with k = 5 and a vertical stretch.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For graph 4, we have function g(x) is a shift left of 3 units of function f(x), hence:
The type is f(x + k), with k = 3, and a horizontal shift.
For graph 5, we have that for each value of x, g(x) = 5f(x), hence:
The type is kf(x), with k = 5 and a vertical stretch.
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What is a function and how can I identify one ?
Answer:
a function is a rule or correspondence by which each element x is associated with a unique element y.
hope this was helpful!
17+|-12--5|--16
show how you got the answer
Which expression is equivalent to √125x6^y15^z3^?
Answer:
[tex]5x^2y^5z[/tex]
Step-by-step explanation:
Hello!
Expand the cube root:
[tex]\sqrt[3]{125x^6y^{15}z^3}[/tex][tex]\sqrt[3]{125}* \sqrt[3]{x^6} * \sqrt[3]{y^{15}}*\sqrt[3]{z^3}[/tex]Use exponent rule:
[tex]\sqrt[a]{b^c} = b^{\frac ca}[/tex]Simplify[tex]\sqrt[3]{125}* \sqrt[3]{x^6} * \sqrt[3]{y^{15}}*\sqrt[3]{z^3}[/tex][tex]5^{\frac33}*x^{\frac63}*y^{\frac{15}{3}}*z^{\frac33}[/tex][tex]5 * x^2 * y^5 * z[/tex][tex]5x^2y^5z[/tex]The answer is [tex]5x^2y^5z[/tex].
A bag of marbles contains 3 red marbles, 5 blue marbles, and 2 yellow marbles. (Write your answer as a fraction, decimal, and a percent.) What is P(red)? What is P(blue)? What is P(yellow)? What is the most likely outcome when drawing a marble out of the bag? Explain. What is the least likely outcome when drawing a marble out of the bag? Explain.
Answer: 30% blue, 50%red, and 20%yellow
Step-by-step explanation:
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Answer:
14 is an obtuse angle
Step-by-step explanation:
An obtuse angle is an angle that is bigger than 90° degrees but doesn’t reach a straight line at 180°.
Divide the amount of white sugar by the amount of brown sugar. What is the quotient? 3over 8 ,2over3,2, or 2and 2 3rds
By dividing the amount of white sugar by brown sugar we get, 2 2/3. The quotient is 2.
A fraction is a numerical quantity that is not a whole number. In other words, fraction can be defined as a small or tiny part, amount, or proportion of something.
A fraction represented with its quotient and remainder is a mixed fraction. In other words, a mixed fraction is a combination of a whole number and a proper fraction.
Amount of white sugar ÷ Amount of brown sugar
2/3 ÷ 1/4
2/3 × 4/1
8/3
2 2/3.
Here quotient is 2 and 2 is the remainder.
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Oceanside Bike Rental Shop charges 24 dollars plus 7 dollars an hour for renting the bike. Mike paid 49 dollars to rent a bike. How many hours did he pay to have the bike checked out?
Step-by-step explanation:
24+7 =31 for one hour
so 49-31= 18 remaining 18/7 =2 remainder 4 so now we have 3 hrs but what about the remainder 4?
if 7 is to 60 as 4 is to x then...
7/60=4/x which will give you x=34.29 mins. so he rented the bike for 4 hours and 34.29 mins
Someone help me plsss
Answer:
e) 4¢
f) cents
g) Cents 102.9 convert to Dollars 1.029
h) Cents 98.9 convert to Dollars 0.989
i) $56.60
j) $54.40
Step-by-step explanation:
e) is correct. The discount is 4¢ per litre
f) It should be cents, not dollars
g) Without a voucher, the cost of fuel is 102.9¢ = $102.9/100= $1.029
h) Since the discount is 4¢ per litre, the price of fuel comes down froom 102.9 - 4 = 98.9¢ = 98.9/100 $ = $0.989
i) 55L at undiscounted price = 55 x $1.029 = $56.595 rounded up to $56.60
j) With a voucher, there is a discounted price of $0.989 per litre. So for 55L, discounted price with voucher = 55 x 0.989 = $54.395 = $54.40 rounded to the nearest cent
Find the measure of the longest angle
The largest angle of the given triangle is 105 degrees. If its measure of other two angles are (6x +17) degrees and (5x + 14) degrees.
According to the given question.
We have, the measure of the angles of a triangle are 105 degrees,
(6x +17) degrees, (5x + 14) degrees.
As we know that the sum of the angles of a triangle is always 180 degrees.
Therefore, we can say that
105 + (6x +17) + (5x + 14) = 180
⇒ 105 + 6x + 17 + 5x + 14 = 180
⇒ 136 + 11x = 180 (adding the like terms)
⇒ 11x = 180 -136
⇒ 11x = 44
⇒ x = 44/11
⇒ x = 4 degrees.
So, (6x +17) degrees = 6(4) + 17 = 24 + 17 = 41 degrees
and, (5x + 14) degrees = 5(4) + 14 = 20 + 14 = 34 degrees
Hence, the largest angle of the given triangle is 105 degrees. If its measure of other two angles are (6x +17) degrees and (5x + 14) degrees.
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Julie has $538 in her bank account. On Monday, she withdrew $218 from her bank account. On Friday, she deposited $49 into her
bank account. What is the net change in her bank account balance from before she made her withdrawal on Monday until after her
deposit on Friday?
Answer:
Step-by-step explanation:Before her deposit on Monday, she had $538 now she has, 538 - 218 + 49 = $369 in her bank account after her withdraw on Friday. Hope this helps, best of luck!
Which algebraic expression is equivalent to the expression below?
(4x + 12) + 9x
A.
(4x - 9x) + 12
B.
(4x + 12x) + 9
C.
(4x + 9x) + 12
D.
25x
The algebraic expression that is equivalent to (4x + 12) + 9x is: C. (4x + 9x) + 12.
How to Determine Equivalent Expression?Algebraic expressions are equivalent to each other if they have he same value when simplified or evaluated.
Given the expression, (4x + 12) + 9x, we have:
4x + 12 + 9x
Add like terms
13x + 12
Also, simplifying (4x + 9x) + 12, we give us the following:
4x + 9x + 12
13x + 12
Therefore, the algebraic expression that is equivalent to (4x + 12) + 9x is: C. (4x + 9x) + 12.
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What is 9+7+5+6+3+4+1+4+4+4 / 6
Answer:
7.83 is the answer of ur question
A six-sided dice is rolled twice. The sides are labeled 1-6. What
is the probability of rolling an odd number and then rolling a 2?
(Give your answer as a reduced fraction).
A 3/36
B 1/18
C 1/12
D 1/36
The probability of rolling an odd number and then rolling a 2 is 1/12.
Option C is true.
What is Probability?
Probability is measure of the likelihood of an event to occur.
Given that;
A six - sided dice is rolled twice.
The sides are labelled 1-6.
Now,
In a dice odd number are 1, 3, 5
Hence, The probability of rolling an odd number = 3/6
And, The probability of rolling a 2 = 1/6
So, The probability of rolling an odd number and then rolling a 2
= 3/6 x 1/6
= 1/12
Hence, The probability of rolling an odd number and then rolling a 2 is 1/12.
Option C is true.
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To estimate the percent of red marbles in a large bag of marbles, margo will use the following sampling method. She will randomly select a marble, record its color, put it back into the bag, shake the bag to thoroughly mix the marbles, and then repeat those steps. She will perform the procedure many times. What type of sampling method is margo using?.
It is found that Margo are going to be using sampling.
• sampling in statistics may be a a part of the sampling technique within which each sample has an equal probability of being chosen. In other words, a sample chosen randomly is an unbiased representation of the entire population.
Sample strategies is also classified as :
1) Convenient: The sample that is taken from a pool that is readily accessible.
2) Random : When all options are into a hat and draw a number of team
3) Systematic : Every kth element
4) Cluster : once we divide population into groups called clusters, and every element of cluster is surveyed.
5) Stratified : In stratified also divides the population into groups, However just some of the weather of the group are surveyed. per the question Marbles are taken from the bag, and after they're taken they're again placed back within the bag so it depicts sampling.
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Find q in this equation