Answer:
16,384
Step-by-step explanation:
4^4 = 4×4×4×4=256
8^2 = 8×8=64
256×64=16,384
Answer:
16384 or [tex]2^{14}[/tex]
Step-by-step explanation:
This is easiest done by creating identical bases (the number being raised by the exponent, 4 and 8 here).
How do we do that? Well let’s start with [tex]4^{4}[/tex].
For both 8 and 4 the bases can be rooted to 2
[tex]\sqrt[3]{8} = 2 \\ \sqrt{4} = 2[/tex]
Because the root of 4 is 2, that means [tex]2^{2} =4[/tex].
Therefore, we can substitute [tex]2^{2}[/tex] for 4 in [tex]4^{4}[/tex], which looks like this:
[tex]2^{2^{4} }[/tex]
And, we should know that an exponent raised to an exponent is the same as multiplying those exponents together. This means [tex]2^{2^{4}} =2^{8}[/tex].
We can repeat the process with [tex]8^{2}[/tex]
[tex]8 = 2^{3} \\8^{2} =2^{3^{2} } \\2^{3^{2} } =2^{6}\\8^{2}=2^{6}[/tex]
Now that we have [tex]2^{8}\ and\ 2^{6}[/tex] we can continue. Given that the bases are the same we can simply add the exponents together when we multiply.
[tex]2^{8}[/tex] x [tex]2^{6}[/tex] = [tex]2^{14}[/tex] (or 16384).
7. Players on the football team are trying to gain weight. Tim, Jim, George, and Rick check
their weights. Tim weighs twice as much as Jim. Jim weighs 50 pounds less than
George. Rick weighs 10 pounds more than George. If Rick weighs 200 pounds, how
much does Tim weigh?
Tim's weight is 280 pounds.
What is Tim's weight?Let t, j and r represent Tim's, Jim's and George's weight respectively.
The following equations can be determined giving the information in the question:
t = 2j equation 1
j = g - 50 equation 2
r = 10 + g equation 3
r = 200
Substitute for r in equation 3 : 200 = 10 + g
g = 200 - 10
g = 190
Substitute for g in equation 2 : j = 190 - 50 = 140
Substitute for g in equation 3: t = 2(140)
140 x 2 = 280
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In a year, Ivan earns $10,000 in taxable income from his part-time job. Using the above table, how much
federal income tax does Ivan owe?
O $1006
O $1500
O $970
O $1000
Question 2
1 pt
Answer:970
Step-by-step explanation:
Adventure Travel has an Adjusted Trial Balance for Year Ended December 31, 20XX with the following account balances: DEBITS: Cash: 25,000; Accounts Receivable: 15,000; Office Supplies: 4,300; Office Equipment: 29,600 CREDITS: Accumulated depreciation - office equipment: 5,000; Salaries Payable: 2,800; Long-term notes payable: 22,200; Common Stock: 20,000; Retained Earnings: 10,260 DEBIT: Cash Dividends: 1,000 CREDITS: Fees Earned: 75,000 DEBITS: Salaries Expense: 32,800; Rent Expense: 16,800; Depreciation expense - office equipment: 3,960; Advertising expense: 4,000; Office supplies expense: 2,800. Total Debits = 135,260; Total Credits = 135,260 You have just determined Net Income for Adventure Travel in the previous question. Now, you must prepare the Statement of Retained Earnings. What amount will you add to Beginning Retained Earnings balance to determine Ending Retained Earnings Balance? What amount will you subtract from Beginning Retained Earnings balance to determine Ending Retained Earnings Balance?
The amount that would be added to Beginning Retained Earnings balance to determine Ending Retained Earnings Balance is net income of $14,640
The amount would be subtracted from Beginning Retained Earnings balance to determine Ending Retained Earnings Balance is the cash dividends of $1,000
What is net income?
The net income is the excess of fees earned by Adventure Travel in the year ended over its total expenses, in essence, we need to determine its total expenses first and foremost, which comprises of salaries expense, rent expense, depreciation expense, advertising expense and office supplies expense
total expenses=32,800+16,800+3960+4000+2800
total expenses=60,360
fees earned=75,000
net income =fees earned-total expenses
net income=75,000-60,360
net income=$14,640
Now the closing retained earnings comprises of beginning retained earnings plus the net income minus the cash dividends paid
Retained earnings=$14,640+$ 10,260-$1,000
Retained earnings=$23,900
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For the following function, find the given values in parts (a) through (c) below.
Answer:
Step-by-step explanation:
f(x) = x^2 + 4x is specified as a function. When the x is replaced in "f(x)" is replaced with a number, you treat it as a variable.
In this case, f(-3) is almost exactly like saying x = -3.
Everywhere x is in the function is replaced with -3, because you are plugging it in to find a value. Here is a demonstration:
f(-3) = (-3)^2 + 4(-3)
f(-3) = 9 - 12
f(-3) = -3
The answer to your question is -3. Don't be afraid to ask anymore questions regarding this if you are confused.
In a psychology class, 57 students have a mean score of 87.1 on a test. Then 10 more students take the test and their
mean score is 68.6. What is the mean score of all of these students together? Round your answer to one decimal place if
necessary.
The mean score of all of these students together, rounded to 1 decimal place is 84.3
What is the mean score in each case?
The mean score in each test taken is the total scores of all students that took the test divided by the number of students, in essence, the total score is determined as the mean score multiplied by number of students
total score for 57 students=87.1*57
total score for 57 students= 4,964.7
total score for 10 students=68.6*10
total score for 10 students=686.0
mean score of all of these students together=(4,964.7+686.0)/(57+10)
mean score of all of these students together= 84.3
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two different points on a number line are both 3 units from the point with coordinate -4. The solution to which equation gives the coordinates of both points
Two different points on the number line both at 3 units from the point, x=-4 are x= -1 and x= -7 and these two points are solution to the quadratic equation : x²+8x + 7 = 0.
What is an quadratic equation and how to frame quadratic equations using its solutions?Quadratic solution in one variable x is ax²+ bx + c = 0 ,where a, b, c are constants
If two solutions x = a and x=b are given, then the quadratic equation which can give solution as x = a and x = b can be written as:
(x-a)(x-b) = 0
Given that the two different points are at 3 units from x = -4
One point will be x = -4-3 = -7
Another point will be x = -4 +3 = -1
For more explanation please look at the attached image.
Given two solutions are x= -1 and x = -7
Then the corresponding equation will be (x-(-1)) (x-(-7))=0
(x+1)(x+7) = 0
x²+8x + 7 = 0.
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Determine whether x=15 is a solution to the given equation.
-4x-6=54
Answer:
No, it is not the solution.
Step-by-step explanation:
-4(15)-6=54
-60-6=54
-66=54
nope
The value of x given that the median of x-4, x, 2x and 2x +12 is 9
The value of x is 6 for the data having the median as 9.
We are given some data:
x - 4, x, 2 x and 2 x + 12
We are also given that the median of these terms = 9
M = 9
Now, we have to find the value of x
Now, we know that the median of some data having even values will be:
M = 2nd term + 3rd term / 2
M = x + 2 x / 2
9 = 3 x / 2
3 x = 18
x = 18 / 3
x = 6
Therefore, we get that, the value of x is 6 for the data having the median as 9.
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Identify the factors of the terms of the expression. 5 + 8a + 14b
Which are correct representations of the inequality 6x ≥ 3+ 4(2x - 1)? Select three options.
According to the given statement
Option 1 . 6x ≥ 3 + 8x - 4
2. 1 ≥ 2x
3. Option C represents the inequality drawn on the number line.
are the correct options.
What is Inequality?An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made. Different types of inequalities are represented by a variety of notations, including:
According to the given values;
Inequality has been given as 6x ≥ 3 + 4(2x - 1)
By solving it further,
6x ≥ 3 + 8x - 4 [Option B is the correct option]
6x ≥ 8x - 1
6x - 8x ≥ 8x - 1 - 8x
-2x ≥ -1
2x ≤ 1
1 ≥ 2x [Option A is the correct option]
x ≤ ¹/₂
Option C represents the inequality drawn on the number line.
Therefore, Options A, B and C are the correct options.
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what is the value of the expression x^2+9/x^2 when x=0
12. A DJ for the school dance plans to play
dance music for two hours. She has 20
requests for songs, and each song plays 31/2 minutes. If she playa all of the requests, how much time will she have to play other songs?
Answer:
50
Step-by-step explanation:
So, put 2 hours into minutes. You get 120. Now, seeing how you have 20 song requests, and each one takes 3.5 minutes, multiply those two values. Now you have 70. After doing that, just subtract 70 from 120 and get 50.
I’d UV = 32 and TV = 40, what is TU?
Answer: TU=8
Step-by-step explanation:
TV=TU+UV
40=TU+32
40-32=TU+32-32
TU=40-32
TU=8
Take the equation as,
→ TV = TU + UV
→ TU = TV - UV
Let's find the value of TU,
→ TU = TV - UV
→ TU = 40 - 32
→ [ TU = 8 ]
Hence, the value is 8.
P ( A ) = 0.67 , P(A∪B)=0.89 and ( B ) = 0.54 . Find P(A∪B′) P ( A ∪ B ′ ) . Give an exact answer as a decimal
The value of the probability P(A u B') is 0.8218
How to determine the probability?The given parameters are
P(A) = 0.67
P(B) = 0.54
P(A u B) = 0.89
From the above parameters, we have
P(B') = 1 - P(B)
P(B') = 1 - 0.54
P(B') = 0.46
So, we have
P(A u B') = P(A) + P(B') - [P(A) * P(B')]
This gives
P(A u B') = 0.67 + 0.46 - (0.67 * 0.46)
Evaluate
P(A u B') = 0.8218
Hence, the value of the probability P(A u B') is 0.8218
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Refer to the number line. Find the coordinate of point X such as the ratio of MX to XJ is 2:3
Please help it’s due soon
===========================================================
Explanation:
M is at 2 and J is at 18
This is a gap of 18-2 = 16
The ratio 2:3 has 2+3 = 5 parts total. Divide the gap of 16 into 5 equal parts to get 16/5 = 3.2 units
Each part is 3.2 units wide
Double this to get 2*3.2 = 6.4; the doubling is because of the "2" in "2:3"
Now add 6.4 to M = 2 to get 2+6.4 = 8.4 which is the location of point X
-----------------------
Check:
Segment MX is 8.4 - 2 = 6.4 units long
Segment XJ is 18-8.4 = 9.6 units long
The ratio 6.4:9.6 is the same as 64:96 and it fully reduces to 2:3 to confirm the answer. Or you could notice that (6.4)/(9.6) = 64/96 = 2/3
What is the value of x in the equation , 7x+y=48 when y = 3?
Answer:
x =[tex] \frac{45}{7} [/tex]
Step-by-step explanation:
7x + y = 48
substitute y with 3 as given so,
7x + 3 = 48
7x = 48 - 3
7x = 45
x = 45 ÷ 7
x = [tex] \frac{45}{7} [/tex]
hope this helps
Which graph represents the function f(x) =
1
X+3
-2?
Answer:
Step-by-step explanation:
Dont really understand what your asking, is it fx=x+1? If so this should be it:
PLS HELP! (math) Ill give you a brainliest and 10 points. :)
Answer: [tex]-\frac{43}{6}d - \frac{1}{8}[/tex]
Step-by-step explanation:
Convert everything to improper fractions:
[tex](-\frac{10}{3}d+\frac{3}{4}) - (\frac{23}{6}d-\frac{7}{8}) \\[/tex]
Multiply right side by two to get common denominator and distribute negative sign on to both terms in the second set of parenthesis:
[tex]-\frac{20}{6}d+\frac{6}{8}-\frac{23}{6}d-\frac{7}{8}[/tex]
Combine like terms:
[tex]= -\frac{43}{6}d-\frac{1}{8}[/tex]
I need help asap. Is the answer yes or no
Answer:
No
Step-by-step explanation:
A circle has a radius of 5. The center of the circle [k] is 2, and a point on the edge of the circle is (10,6). Using the information above, what are two possible x values of the center of the circle [h]?
Answer:
I LOVE GREAT BRITINNNNNNN
Step-by-step explanation:
Two trains leave stations 396 miles apart at the same time and travel toward each other. One train travels at 80 miles per hour while the other travels
at 100 miles per hour. How long will it take for the two trains to meet?
Answer:
It will take 2.2 hours for the trains to meet.
Step-by-step explanation:
Given,
Distance between two trains = 396 miles
Speed of one train = 95 mph
Speed of other train = 85 mph
Combined speed of trains = 95+85 = 180 mph
Distance = Speed * Time
Time =
Time =
Time = 2.2 hours
It will take 2.2 hours for the trains to meet.
Keywords: speed, distance
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Step-by-step explanation:
Question content area top Part 1 You are running a fuel economy study. One of the cars you find is blue. It can travel 38 1/2 miles on 1 1/4 gallons of gasoline. Another car is red. It can travel 22/5 miles on 4/5 gallons of gasoline. What is the unit rate for miles per gallon for each car? Which car could travel the greater distance on 1 gallon of gasoline?
Based on the miles that each car can travel on, the unit rate of miles per gallon for each car is:
Blue car - 30.8 miles per gallonRed car - 5.5 miles per gallonThe car that can therefore travel the greater distance on 1 gallon of gasoline is the Blue car.
What is the unit rate for the miles per gallon?The blue car can travel 38.5 miles on 1.25 gallons of gasoline. The unit rate is:
= 38.5 / 1.25
= 30.8 miles per gallon
The red car can travel 22/5 miles on 0.80 gallons of gasoline so the unit rate is:
= 22/5 ÷ 0.80
= 5.5 miles per gallon
The blue car can therefore travel the greater distance on 1 gallon of gasoline.
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graph the line that passes through (0,3) and has slope 2/3
Answer:
(0,3) (3,5)
Step-by-step explanation:
You already have a point of (0,3) so graph that point and then using the slope go up 2 and right 3 so the other point you'll have is (3,5).
Equation: y = 2/3x + 3
Perpendicular slope is opposite sign reciprocal i.e. -3/2
Equation: y = -3/2x + 3
points on graph (0,3) (2,0)
mrs.kline drove 30 miles in 40 minutes. how many miles did she drive in 2 hours
What do you call two lines in 3-space that never meet, but are not parallel.
An example:
Look where two walls meet. They meet at a vertical line. Let's call that line A.
Now look at where the ceiling and another wall meet (this wall is not the same as the previous two walls mentioned). The ceiling and this new wall meet at line B
Lines A and B are skew lines since they'll never cross even if you extend them out forever. They aren't parallel lines either because they don't point in the same 3D direction.
Check out the diagram below.
HELP ITS URGENTGKHJLKGFHHB
2.) How should $90 be divided into two parts so that the second part is $30
less than twice the first part?
Hello can someone please help me with this
Q and R are collinear because they lie in the same straight line.
Check whether Q and R are collinear from the given figure.
What are collinear points?Collinear points are the points that lie on the same straight line or in a single line. If two or more two points lie on a line close to or far from each other, then they are said to be collinear, in Euclidean geometry.
Here, Q and R are collinear because they lie in the same straight line.
A set of points in space are coplanar if there exists a geometric plane that contains them all.
Point S is outside the planes, so point S is non-coplanar with either plane.
The intersection of two planes is always a line.
The intersection between the two planes creates a line.
Line l intersects two planes V and W.
Therefore, Q and R are collinear because they lie in the same straight line.
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if a number is written as 3x3x5x3x7x7 find the smallest number by which this is to be multiplied to get a perfect cube
Answer:
175,
Step-by-step explanation:
perfect cube needs an extra 7 and two 5s.When u put these numbers you will see
The U.S. per capita income for 2013 was $53143. If the average person operated like the federal government, how much money would the average person have spent in 2013? Express your answer round to the nearest
Answer:
i dont understand what is this
Answer:
Step-by-step explanation: per means divide and capita means person
so you would divide
$53143 by 1.3333333 to get your answer $ 39857 since you are rounding to the nearest dollar
