Answer:
101₂
Step-by-step explanation:
11₂ + 10₂
This is currently in base 2. The subscript tells you that. In the base 2 system, the only numbers allowed are; 0 and 1. This means if you were to have; 1 + 1, rather than getting 2, you have 10.
1 1
1 0
+ __
101
There are 10 cards placed face down on a table. Four of the cards have stars on them and the other 6 are blank. You win if you draw a card with a star. How can the game be made fair? The game is already fair. Add 2 cards with stars. Add a star to 1 of the blank cards. Take away 2 blank cards. win if you draw a card with a star. How can the game be made fair?
Answer:
In the original game, the probability of winning is 4/10 or 2/5. To make the game fair, we want to adjust the number of star cards and blank cards so that the probability of winning is 1/2 or 5/10.
Option 1: Add 2 cards with stars.
If we add 2 cards with stars, we will have a total of 12 cards, 6 of which will have stars. The probability of winning will be 6/12 or 1/2, making the game fair.
Option 2: Add a star to 1 of the blank cards.
If we add a star to 1 of the blank cards, we will have a total of 11 cards, 5 of which will have stars. The probability of winning will be 5/11, which is not exactly 1/2 but is very close. This option is a good approximation of a fair game, but not perfect.
Option 3: Take away 2 blank cards.
If we take away 2 blank cards, we will have a total of 8 cards, 4 of which will have stars. The probability of winning will be 4/8 or 1/2, making the game fair.
Therefore, options 1 and 3 will make the game fair, while option 2 is a good approximation of a fair game.
What is the coefficient of x6 y4 in the expansion of (x + y)10?
Answer:
It is C.
Step-by-step explanation:
Too lazy to explain.
How many lines of symmetry are there in the object pictured below?
Answer:
There are two lines of symetry.
Answer:B
Step-by-step explanation
its B
Four students grafted one linear function each
Step-by-step explanation:
The answer is attached in this photo
Jennifer walters works in a bank, and she is paid $18.30 per hour. How much is her gross pay if she works 46 hours in a week?
She receives grossly $841.8 for working for 46 hours
How to determine the amount she receives in gross for 46 hours?From the question, the given parameters are
Hourly rate = $18.30 per hour
Number of hours = 46 hours
The amount she receives in gross for 46 hours is the product of the hourly rate and the number of hours
This is represented as
Total amount = Hourly rate x Number of hours
Substitute the known values in the above equation
So, we have the following equation
Total amount = 18.3 x 46
Evaluate
Total amount = 841.8
Hence, the amount she receives in gross for 46 hours is $841.8
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express 50,413 in scientific notation and show the work please
ANSWER
\(5.0413\cdot10^4\)EXPLANATION
We have the number 50,413 that we want to express in scientific notation.
That means that we want to express the number as a product of a number between 1 and 10 and a power of 10.
In the given number, there is a decimal point (imaginary) behind 3, that is 50,413.
Now, we will move the decimal point to be immediately after the first number (5). The number of times the decimal point is moved will be the power of 10.
We have:
\(50,413\text{ = 5.0413 }\cdot10^4\)The power of 10 is positive because the decimal point was moved to the left hand side.
The volleyball team at Huntington Middle wants to order t-shirts with their team name and logo. They
are considering purchasing the shirts from either Crazy Tees or T-shirts R Us. Crazy Tees charges fifteen
dollars per shirt, while T-shirts R Us charges $10 per shirt and a one-time fee of fifty dollars. What is
the price of one T-shirt if the total for both companies were the same amount?
Serena has $50 to spend. She buys 5 packages of hotdog buns and 5 packages of beef hotdogs. Each package of buns cost $3.85 and each package of beef hotdogs cost $4.20. How much money does Serena have left after these purchases?
HELP ME I NEED THIS IT"S DO TONIGHT
-2(x+1)-2
Answer:
-2x-4
Step-by-step explanation:
-2(x)-2(1)-2 then solve
Answer:
If what you want is to simplify then the answer is:
-2x-4
which linear equation represents the data given in the table?
Answer:
\(c \: \: y = 3x - 8\)
if you insert x and y value in equation you can find equation
HALP TELLL ME HOW!!!!!!!!!!!!
Answer:
V=82944
Step-by-step explanation:
FORMULA (Im guessing u just wanted answer but if u want formula there u go.
V= 1/3(a^2h)
Answer:
\(576 ~cubic ~centimeters\)
Step-by-step explanation:
\(B=144cm^2\)
\(h=12cm\)
\(V=1/3~B*h\)
\(=1/3(144)(12)\)
\(=576 cm\)
--------------------
hope it helps...
have a great day!!
What is the difference of 31 - (-9) =
Answer:
40
Step-by-step explanation:
31 + 9=40
cause u need to change the negative into positve and change the minus into plus
Write 3 ratios that are equivalent to the given ratio 4/7
Answer:
Step-by-step explanation:
20/35 ; 40/70 ; 288/504.
Hi there, let me help you!
The meaning of "equivalent" is equal.So, we need to find 3 ratios that are equal to the ratio \(\displaystyle\frac{4}{7}\) (also written as 4:7)First, let's multiply the numerator and the denominator by 2:4*2:7*2=8:144:7 and 8:14 are equivalent.We can also multiply the top & bottom of the new ratio by 2:16:28We could go on and on, because there are infinitely many ratios that are equivalent to 4:7.Here are just 3 of them:8:14, `16:28, 32:56Hope it helps! :)
~Stargazing~
prove or disprove that if a | bc, where a, b, and c are positive integers and a ≠ 0, then a | b or a | c
We have proved that if a divides the product of b and c, where a, b, and c are positive integers and a ≠ 0, then a must divide either b or c, or both.
Suppose a, b, and c are positive integers, and a ≠ 0. We need to show that if a divides the product of b and c, then a must divide either b or c, or both.
If a divides bc, then we can write:
bc = ak, where k is a positive integer.
Since a is not equal to 0, we can say that k is not equal to 0.
Now, we need to show that a divides either b or c, or both.
Suppose a does not divide b. Then we can write:
b = ar + d, where r and d are integers, and 0 < d < a.
Multiplying both sides of this equation by c, we get:
bc = acr + cd.
Since bc = ak, we can write:
acr + cd = ak.
Rearranging this equation, we have:
a(cr - k) = cd.
Since a ≠ 0, we can say that cr - k is an integer, and cd is also an integer.
Therefore, we have shown that a divides cd. But c is a positive integer, and a is a positive integer that does not divide b. Hence, a must divide c.
Similarly, we can show that if a does not divide c, then a must divide b.
Therefore, we have proved that if a divides the product of b and c, where a, b, and c are positive integers and a ≠ 0, then a must divide either b or c, or both.
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A tennis player asks the referee a question.The sound of the players voice travels only 30 feet. Can the referee hear the question? Explain.
With steps pls<3
Answer:
yes
Step-by-step explanation:
25=x he can hear the players voice because if it wasent talking loud it would be impossible to hear it would sound like whispering
Answer:
Step-by-step explanation:
Here it is
Nadya deposited $1,000 into a savings account that pays 3. 5% simple interest per year. Which expression represents the value of her investment after 8 years?
The expression that represents the value of Nandy's investment after 8 years is A = 1000 (1 + 3.5(8)).
What are expressions?A finite collection of symbols that are properly created in line with context-dependent criteria is referred to as an expression, sometimes known as a mathematical expression.A mathematical expression is made up of a statement, at least two integers or variables, and one or more arithmetic operations. This mathematical operation enables the multiplication, division, addition, or subtraction of numbers. The following is the structure of an expression: Expression: (Number/Variable, Math Operator, Math Operator)So, the expression that can represent the above situation is:
The total money Nadya deposited is $1000.
Interest is 3.15%.
Total years are 8.
Simple interest formula: A = P (1 + rt)
Where a is the final amount, p is the principal amount, r is the interest return and t is the time in years.
Then, we have:
A = 1000 (1 + 3.5(8))
A = 1000(29)
A = 29,000
Therefore, the expression that represents the value of Nandy's investment after 8 years is A = 1000 (1 + 3.5(8)).
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Which inequality has no solution?
6(x+2) > x-3
3+4x2(1+ 2x)
-2(x+6)
X-9 <3(x-3)
Answer:
\(6(x + 2) > x - 3\)
\(6x + 12 > x - 3\)
\(6x - x > - 12 - 3\)
\(5x > - 9\)
\(3 + 4 \times 2(1 + 2x)\)
\(3 + 8(1 + 2x)\)
\(3 + 8 + 16x\)
\(11 + 16x\)
\( - 2(x + 6)x - 9 < 3(x - 3)\)
\( - 2( {x}^{2} + 6x) - 9 < 3x - 9\)
\( - 2 {x}^{2} - 12x - 9 < 3x - 9\)
Help I don’t know how to find it!
Answer:
would it be 130?
Step-by-step explanation:
because 40+90=130 then 180-130=50 so 1=50 and that means 3 is 50 too. so then you would subtract 50 from 190 which is 130.
One tennis club charges $ 34 per session to play tennis. Another tennis club charges an annual fee of $ plus $ 22 per session. After how many sessions is the cost at the two clubs the same?
The cost of the two clubs will be the same after 4 sessions
How to determine the number of sessions at which the cost at the two clubs the same?A word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language rather than in mathematical notation
Let x represent the number of session
Since One tennis club charges $ 34 per session to play tennis. We can write the cost as:
cost = 34x
And another tennis club charges an annual fee of $ plus $ 22 per session. We can write the cost as:
cost = 48 + 22x
At the same cost, we have:
34x = 48 + 22x
34x - 22x = 48
12x = 48
x = 48/12
x = 4
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Complete Question
One tennis club charges $30 per session to play tennis. Another tennis club charges an annual fee of $48 plus $22 per session. After how many sessions is the cost at the two clubs the same?
Solve the system using the addition method. Write your answer as an ordered pair.If there is no solution, write NS for your answer.s 6x + 5y = 251 4x – 5y = 15Answer 2 PointsKeypadKeyboard Shortcuts
Given:
\(\begin{gathered} 6x+5y=25\ldots\ldots\ldots\ldots(1) \\ 4x-5y=15\ldots\ldots\ldots\ldots(2) \end{gathered}\)To find: The value of x and y
Explanation:
Adding (1) and (2) we get,
\(\begin{gathered} 6x+5y+4x-5y=25+15 \\ 10x=40 \\ x=4 \end{gathered}\)Substitute x=4 in equation (2) we get,
\(\begin{gathered} 6(4)+5y=25 \\ 24+_{}5y=25 \\ 5y=25-24 \\ 5y=1 \\ y=\frac{1}{5} \end{gathered}\)Hence, the solution is,
\((4,\frac{1}{5})\)Final answer:
\((4,\frac{1}{5})\)Tammy sells beaded necklaces. Each large necklace sells for $5.20 and each small necklace sells for $4.90 . How much will she earn from selling 1 large necklace and small 7 necklaces?
Answer: $39.50
Step-by-step explanation:)
Select the irrational numbers.
A. 39
B. 72
C. V111
D. 122
E. 144
the unit value of a cubic centimeter is the same as which metric measurement?
Answer: The unit value of a cubic centimeter (cm^3) is the same as the metric measurement of a milliliter (mL).
This is because 1 milliliter is equal to 1 cubic centimeter. In other words, if you have a cube that measures 1 centimeter on each side, its volume would be 1 cubic centimeter, which would also be equivalent to 1 milliliter of volume.
This relationship between cm^3 and mL is commonly used in scientific and medical measurements involving liquids and gases.
The unit value of a cubic centimeter (cc) is equivalent to one milliliter (mL) in the metric system. Both cubic centimeters and milliliters are used to measure volume, and their conversion is straightforward: 1 cc = 1 mL.
The metric system uses base units such as meters, liters, and grams, and applies prefixes like kilo-, centi-, and milli- to indicate larger or smaller units of measurement.
Cubic centimeters are often used to measure the volume of solid objects or the capacity of containers, while milliliters are more commonly used to measure the volume of liquids. However, both units represent the same volume and can be used interchangeably.
It is important to understand the difference between volume measurements and other metric measurements, such as length or mass. For instance, meters are used to measure length or distance, and grams are used to measure mass or weight. These units cannot be directly converted to cubic centimeters or milliliters, as they represent different physical properties.
In summary, a cubic centimeter (cc) is a unit of volume in the metric system that is equivalent to one milliliter (mL). Both units can be used to measure volume, and they have a simple conversion of 1 cc = 1 mL. Understanding the relationship between these units and other metric measurements is essential for accurately quantifying and comparing different physical properties.
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20. Four cakes of soap cost ₹ 276. What is the price of one cake of soap?
If Four cakes of soap cost ₹ 276, then the price of one cake of soap is ₹69.
The statement is:
Four cakes of soap cost ₹ 276. We have to calculate the price of one cake of soap.
Let the cost of one cake of soap be ₹x. The cost of four cakes of soap will be 4x.
We can form an equation from the given data that is:
4x = ₹276
To find the value of x (the price of one cake of soap), we need to solve this equation for x.
Divide both sides of the equation by 4:
x = ₹276 / 4
Dividing both sides of the equation by 4, we get:
x = ₹69
Therefore, the price of one cake of soap is ₹69.
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8
m_AHI = 13x +9, mZGHI = 137°,
and mZGHA = 8x + 2. Find x.
H
G
Answer:
x = 6
Step-by-step explanation:
<GHA + <AHI = <GHI
(8x + 2) + (13x + 9) = 137
8x + 13x + 2 + 9 = 137
21x= 137 - 11
x = 126/21
x = 6
2x+y=16 y=2x what are the side lengths of the triangle?
Answer:
x = 4. y=8
Step-by-step explanation:
putting y=2x in first equation
2x+2x=16
4x=16
x=4
put x=4 in eq second
y=2*4
y=8
Select EVERY indeterminate form to which L'Hopital's Rule can be directly applied to (there may be more than one). 0.00 0° U U 1° oo U U 8 - 0 U 8|8 o 8
The indeterminant form to which the L'Hopital's Rule can be applied are 0/0 and ∞/∞ , the correct options are (d) and (f) .
L'Hopital's Rule in calculus is used to evaluate weird limits that result in indeterminate forms that are 0/0, ∞/∞ . These types of limits
(a) cannot be calculated by direct substitution of limit and/or
(b) can be evaluated but using a very long procedure .
that means if \(\lim_{x \to a} \frac{f(x)}{g(x)}\) = 0/0 or ∞/∞ ,
then \(\lim_{x \to a} \frac{f(x)}{g(x)} = \lim_{x \to a} \frac{f'(x)}{g'(x)}\)
In the question ,
there are several indeterminant forms given which are 0.∞ , \(0^{0}\) , \(1^{\infty}\) , 0/0 , ∞ - ∞ , ∞/∞ , ∞⁰ .
By the definition of L'Hopital's Rule , the option that matches with the definition is 0/0 and ∞/∞ ,
So , the correct option is (d) 0/0 and (f) ∞/∞ .
Therefore , The indeterminant form to which the L'Hopital's Rule can be applied are 0/0 and ∞/∞ , the correct options are (d) and (f) .
The given question is incomplete , the complete question is
Select EVERY indeterminate form to which L'Hopital's Rule can be directly applied to (there may be more than one).
(a) 0.∞
(b) \(0^{0}\)
(c) \(1^{\infty}\)
(d) 0/0
(e) ∞ - ∞
(f) ∞/∞
(g) ∞⁰
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I need help in this
Answer:
x = 4
Step-by-step explanation:
Since the rectangles are similar, use a ratio.
15/6 = 10/x
or
6/15 = x/10
I will use 15/6 = 10/x to solve this problem, but both ratios should work to solve this problem.
15/6 = 10/x
Cross Multiply:
6(10) = 15x
Solve:
60 = 15x
x = 4
Find the interest on the following loan. $6000 at 8% for 6 months Find the future value of the loan. Assume 365 days in a year. $9275 at 7.57% annual simple interest for 13 months
The future value of the loan is approximately $10,070.29.
To find the interest on the loan, we can use the formula:Interest = Principal × Rate × Time
Given:
Principal (P) = $6000
Rate (R) = 8% per year (0.08 as a decimal)
Time (T) = 6 months (0.5 years)
Plugging in the values into the formula:
Interest = $6000 × 0.08 × 0.5 = $240
Therefore, the interest on the loan is $240.
To find the future value of the loan, we can use the formula for simple interest:
Future Value = Principal + Interest
Given:
Principal (P) = $6000
Interest = $240
Plugging in the values into the formula:
Future Value = $6000 + $240 = $6240
Therefore, the future value of the loan is $6240.
For the second scenario:
Given:
Principal (P) = $9275
Rate (R) = 7.57% per year (0.0757 as a decimal)
Time (T) = 13 months (13/12 years)
To find the interest, we can use the same formula:
Interest = Principal × Rate × Time
Plugging in the values into the formula:
Interest = $9275 × 0.0757 × (13/12) = $795.29
Therefore, the interest on the loan is approximately $795.29.
To find the future value of the loan, we can use the same formula as before:
Future Value = Principal + Interest
Plugging in the values into the formula:
Future Value = $9275 + $795.29 = $10,070.29
Therefore, the future value of the loan is approximately $10,070.29.
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What is the first step in solving the equation? 7 (x - 3) = 15+ x
a. Distribute by multiplying 7 by the terms in the parentheses
b. Multiply by 7 on both sides of the equation
c. Add 3 to both sides of the equation
d. Subtract x from both sides of the equation
Answer:
The first step is A, distributing and multiplying 7 to the x and -3 in the parentheses
Step-by-step explanation:
It’s kind of hard to offer and explanation for this, so sry!
(Please award brainliest if possible!)
Answer:
(a).
Step-by-step explanation:
7 is outside the parentheses and needs to be distributed to x and -3 before trying to isolate the x.