Which of the following are like terms
Answer:
i would say a but i could be wrong
Step-by-step explanation:
g÷2+ 19 > 15
what is g?
Answer: g > -8
Step-by-step explanation:
sadmep
Enter an equation in standard form to model the linear situation.
A barrel of oil was filled at a constant rate of 6.7 gal/min. The barrel had 12 gallons before filling began.
Answer: 6.7x - y = -12
Peter bought an 18-ounce box of cereal for $4.50. What was the cost per ounce?
A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a chess board. On the second square the King would place two grains of wheat, on the third square, four grains of wheat, and on the fourth square eight grains of wheat. If the amount of wheat is doubled in this way on each of the remaining squares, how many grains of wheat should be placed on square 24 ? Also find the total number of grains of wheat on the board at this time and their total weight in pounds. (Assume that each grain of wheat weighs 1/7000 pound.)
Answer:
1) 8,388,608 grains of wheat.
2) 16,777,215 grains of wheat.
3) 239,674.5 pounds.
Step-by-step explanation:
Question 1)
We know that on the first square, there is 1 grain of wheat.
On the second, 2 grains of wheat.
On the third, 4 grains of wheat.
And on the fourth, 8 grains of wheat.
Therefore, we have a geometrically increasing sequence. It looks like:
1, 2, 4, 8...
Therefore, to find the number of grains on the 24th square, we can write an explicit formula.
The standard form for the explicit formula for a geometric sequence is:
[tex]x_n=a(r)^{n-1}[/tex]
Where a is the initial amount, r is the common ratio, and n is the nth term (starting from 1).
We know that the initial term a is 1 because there’s one grain of wheat on the first square.
And the common ratio will be 2 because each square has double the amount of the previous square.
So, substitute 1 for a and 2 for r. This yields:
[tex]x_n=1(2)^{n-1}\\[/tex]
We can simplify this:
[tex]x_n=2^{n-1}[/tex]
So, to find the amount of wheat on the 24th square, we simply need to substitute 24 for n and evaluate. So:
[tex]x_{24}=2^{24-1}=2^{23}[/tex]
Evaluate. Use a calculator:
[tex]x_{24}=8,388,608[/tex]
Therefore, on the 24th square, there are 8,388,608 grains of wheat.
Question 2.1)
We want to find the total number of grains of wheat on the board at this time.
In other words, we want to find the sum of our geometric sequence when n is 24.
The formula for the sum of a geometric series is:
[tex]S_n=\frac{a(r^n-1)}{r-1}[/tex]
Where rⁿ is the value of the number of terms n, r is the common ratio, and a is the initial term.
We want to find the sum after 24 times. So, n is 24.
So, substitute 24 for n, 2 for r, and 1 for a. This yields:
[tex]S_{24}=\frac{(1)(2^{24}-1)}{2-1}[/tex]
Evaluate. Use a calculator:
[tex]S_{24}=16, 777, 215[/tex]
Therefore, the total sum of the number of grains of wheat at the board at the 24th square is 16,777,215.
Question 2.2)
And to find the weight, we will just have to multiply our total amount by 1/7000. So:
[tex]W=16777215(\frac{1}{70})[/tex]
Use a calculator:
[tex]W=239,674.5\text{ lbs}[/tex]
So, the total weight is 239,674.5 pounds.
-2/3 - (-1 1/3)
A. -1 2/3
B. -2/3
C. -1/3
D. 2/3
Answer is 2/3
Hope this helps
Write as the sum and/or difference of logarithms. Express powers as factors \log _4\left(\sqrt{\frac{mn}{19}}\right). g
Answer:
[tex]f = \log_{4}\left(\sqrt{\frac{m\cdot n}{19}}\right)[/tex] is equivalent to [tex]f = 0.5\cdot \log_{4} m + 0.5\cdot \log_{4}n -0.5\cdot \log_{4}19[/tex].
Step-by-step explanation:
Let be [tex]f = \log_{4}\left(\sqrt{\frac{m\cdot n}{19}}\right)[/tex], we transform this into an equivalent expression with sums and differences of logarithms by applying logarithm properties:
1) [tex]\log_{4}\left(\sqrt{\frac{m\cdot n}{19}}\right)[/tex] Given.
2) [tex]\log_{4}\left[\left(\frac{m\cdot n}{19} \right)^{0.5}\right][/tex] Definition of square root.
3) [tex]0.5\cdot \log_{4}\left(\frac{m\cdot n}{19} \right)[/tex] [tex]\log_{a} b^{c} = c\cdot \log_{a} b[/tex]
4) [tex]0.5\cdot (\log_{4}m\cdot n -\log_{4} 19)[/tex] [tex]\log_{a} \frac{b}{c} = \log_{a} b - \log_{a} c[/tex]
5) [tex]0.5\cdot \log_{4} m\cdot n -0.5\cdot \log_{4} 19[/tex] Distributive property.
6) [tex]0.5\cdot (\log_{4}m + \log_{4}n)-0.5\cdot \log_{4}19[/tex] [tex]\log_{a} b\cdot c = \log_{a}b +\log_{a} c[/tex]
7) [tex]0.5\cdot \log_{4} m + 0.5\cdot \log_{4}n -0.5\cdot \log_{4}19[/tex] Distributive property/Result.
[tex]f = \log_{4}\left(\sqrt{\frac{m\cdot n}{19}}\right)[/tex] is equivalent to [tex]f = 0.5\cdot \log_{4} m + 0.5\cdot \log_{4}n -0.5\cdot \log_{4}19[/tex].
PLZ HELP WILL GIVE BRAINLYIST
Answer:
400 40
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
HELP ME PLS T^T
Use point-slope form, y - y1 = m(x - x1), to find the linear equation of a line that passes through the points (3, -1) and (1, 1).
that's the answer. good luck
Step-by-step explanation:
Hope it helps man .................
How do we know if a function is a parabola like for instance, this one x^2 + x?
Charlene and Gary want to make confetti. In order to get the right balance of ingredients for their tastes they bought 3 pounds of paper hearts at $2.46 per pound, 5 pounds of sparkling stars for $3.05 per pound, and 3 pounds of shiny coils for $2.33 per pound. Determine the cost per pound of the coffeti.
Answer:
0.712 cents per pound
Step-by-step explanation:
Since we are given the exact amount of each ingredient as well as the price for that amount then we simply need to calculate how much each pound of the confetti actually costs. We do this by adding together all of the pound of all of the ingredients and then adding together all of the costs. Lastly, we divide the cost by the total amount of pounds to find the cost per pound of the confetti like so...
3lbs. + 5lbs. + 3lbs. = 11 lbs.
$2.46 + $3.05 + $2.33 = $7.84
$7.84 / 11 lbs. = 0.712 cents per pound
Therefore, the cost per pound of the confetti is 0.712 cents per pound
Find the value of the expression:
70–a2 for a=–25; 1; 10
Simple answer.
You will have to replace a, with the given numbers.
For the 1st one)
70-25² since a=25. 70-625=-55
2nd)
70-1²=70-1=69
3d)
70-10²=70-100=-30
Hope this helped.
Looking around in your own country, discuss two practical applications in which “piecewise functions” are used either explicitly or implicitly
Answer:
Piecewise functions are functions that behave differently in different regions of the domain.
One example that you may see in your city is the case of the street illumination, such that can be modeled as:
x = time
Suppose that the lights are turned on at a given hour x0 and then turn off at the hour x1, we can define:
f(x) = 0 if x1 < x < x0
f(x) = 1 if x0 ≤ x ≤ x1
Where f(x) represents the intensity of the light at the time x.
Between x1 and x0, the lights are not working, so the illumination that they provide is zero.
Between x0 and x1 the lights are turned on, so the illumination is 1.
Another example can be the accurate description of the velocity of a car as a function of time.
For some pieces, the car will be stopped (maybe in a red light)
For some pieces, the car will be moving slow (maybe there is a lot of traffic)
For some pieces, the car will be moving fast or accelerating (in an empty street).
So we can define this motion as a piecewise function that obviously will depend on how the car moves.
I’LL MARK BRAINLEST! :)
Answer:
9.1
Step-by-step explanation:
I think this because it is 9 boxes away from the other points, plus it sloped a bit...
Answer:
9.1
Step-by-step explanation:
Distance=[tex]\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2} }[/tex]
=[tex]\sqrt{(4-3)^{2} +(-5-4)^{2} }[/tex]
=[tex]\sqrt{(1)^{2}+(-9)^{2} }[/tex]
=[tex]\sqrt{1+81}[/tex]
=[tex]\sqrt{82}[/tex]
≈9.1
A recipe says to use 3 cups of flour to make 48 cookies. What is the constant of proportionality that relates the number of cookies made, y , to the number of cups of flour used, x ?
Answer: 3cups
Step-by-step explanation:
List all of the solutions.
3cups = 48 = y = cups = x =
Answer:
3cups
Step-by-step explanation:
Round the decimal to a place of the underlined digit 5.657
Answer:
5.6
Step-by-step explanation:
Please help!
Are the expressions –0.5(3x + 5) and
–1.5x + 2.5 equivalent? Explain why or why not.
Answer:
We can check this two ways: distributing the -0.5, and plugging in a number for x.
First, we can check this by distributing the -0.5. Our equation becomes:
-1.5x -2.5 = -1.5x + 2.5
Clearly, this is not true. We can show this one more time by plugging in a number for x. I will use 2.
Now, we evaluate both sides and see if they are equal.
-3 - 2.5 = -3 + 2.5
-5.5 = 0.5
Clearly, this is not true. These expressions are not equivalent.
Step-by-step explanation:
Answer:
Step-by-step explanation: Using the distributive property to expand the first expression, you would get -1.5x - 2.5. Since the constant term does not have the same sign as the second expression, the two expressions are not equivalent. Also, if you substitute in a value for x and evaluate each expression, the values will not be equal.
Solve this equation: –3(x – 14) + 9x = 6x + 42
Solving this equation results in the statement 0 = 0. Because this is a true statement, the equation has a unique solution.
Solving this equation results in the statement 6 = 0. Because this is a false statement, the equation has infinitely many solutions.
Solving this equation results in the statement 0 = 0. Because this is a true statement, the equation has infinitely many solutions.
Solving this equation results in the statement 6 = 0. Because this is a true statement, the equation has no solution.
Answer:
Solving this equation results in the statement 0 = 0. Because this is a true statement, the equation has infinitely many solutions.
Step-by-step explanation:
A local little league has a total of 60 players, of whom 20% are left-handed. How many left-handed players are there?
Answer:
There are 12 left-handed players in the league
Step-by-step explanation:
To find the value of the percentage of a given number, change the percentage at first to decimal by divide it by 100, then multiply the decimal by the number.Ex: 5% of 50 ⇒ 5% = [tex]\frac{5}{100}[/tex] = 0.05 ⇒ 5% × 50 = 0.05 × 50 = 2.5Let us solve the problem
∵ A local little league has a total of 60 players
∵ 20% of them are left-handed
→ Find 20% of 60
∴ The number of left-handed players = 20% × 60
→ Change 20% to a decimal
∵ 20% = [tex]\frac{20}{100}[/tex] = 0.20
∴ The number of left-handed players = 0.20 × 60
∴ The number of left-handed players = 12
∴ There are 12 left-handed players in the league
Kim's rectangle measures 4ft by 6ft. What are the dimensions of a rectangle that is similar to Kim's rectangle?
Answer: 24ft by 36
Step-by-step explanation:
It is asking which dimension of a rectangle is similar. 24 divided by 6 is 4 and if you do the same to 6 then 36 divided by 6 is also 6 which makes it similar
in the diagram below m abc equals 165°
find the measure of ABD
What are the total expenses for a month if someone spends $900 on rent,
$290 on groceries, $55 for electric, $30 for water, $70 for car insurance,
$145 on entertainment, $87 on gas, $40 on clothes, and $56 on sports.
Answer:
$1673
Step-by-step explanation:
$900+$290+$55+$30+$70+$145+$87+$40+$56=$1673
Find the measure of the missing angle
If f(x) = 3a|4x - 4| - ax, where a is some constant, find f '(1). (4 points)
Select one:
a. 0
b. not enough information
c. e
d. 1
Annswer girl
Step-by-step explanation:
just trying to get answers
A lottery game called Quinto is played by choosing five numbers each, from 0 through 9 how many numbers are possible?
Answer:
0-9 gives you 10 possibilites.
10x10x10x10x10=100,000
Step-by-step explanation:
A lottery game called Quinto is played by choosing five numbers each, from 0 through 9, there are 10 possibilities
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We are given that lottery game called Quinto is played by choosing five numbers each, from 0 through 9
Therefore, we are asked to find the number of possibilities.
10 x 10 x 10 x 10 x 10
=100,000
Thus, there are 100,000 number
This means that from 0 through 9 there are 10 possibilities.
Hence, A lottery game called Quinto is played by choosing five numbers each, from 0 through 9, there are 10 possibilities
Learn more about multiplications;
https://brainly.com/question/14059007
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suppose the retail price of an automobile is $28,000 in 1998 and that it increase at 3% per year. a) write a equation exponential function y=a(1 +r) b) use the model to predict the retail of the automobile in 2016
Answer:
......................................
Lucy is making the same bracelet for 8 of her friends. She has 32 beads. How many beads can she put on each bracelet?
Answer:
4 beads in each bracelet
Step-by-step explanation:
You divide 32 by 8 which gives you 4 because 8 multiplied by 4 equals 32
After 5.5 hours, Allie had traveled 264 miles. If she travels at a constant speed, how far will she have traveled in 6 hours?
Answer:
288 Miles
Step-by-step explanation:
Solve for x (speed)
5.5x = 264
Divide by 5.5
x = 48
y = 48x
Subsitute 6 hours in for x
y = 48(6)
y = 288
Answer: Allie went 288 miles in 6 hours.
Step-by-step explanation:
First, you must find out how many miles Allie travled in one hour
= 264/5.5
= 48
Next, multiply the quotient by the number of hours to get the answer.
= 48 x 6
= 288
Last summer a sports club had 96 members this summer due to renovations it has 72 members what was the percent decrease?
Answer:
25%
Step-by-step explanation:
The answer would be 25% because to get your answer you have to
first subtract the original amount by the newest amount which in this case is
96-72=?
After you have subtracted this you will get you answer of 24
96-72=24
Ans than what you do is take the number of how many people left and put it on top of the original amount like this
24/96 so in other words dividing
Than you will get your answer of 25%