Answer:
60 milligrams
Step-by-step explanation:
The question wants us to find the total amount of milligrams of vitamin in a drink. We know that the drink contains 20 percent more vitamin than the Recommended daily allowance of 50 milligrams.
Simplify 120% to 1.2.
120% = 1.2
Multiply 50 (mg) by 1.2 (RDA) to get the final solution.
50 x 1.2
Final solution.
50 x 1.2 = 60
There are 60 milligrams of the vitamin in the drink.
Ramona completed all 30 questions on the test. If 5/6 of the questions were correct, how many questions
did Ramona answer incorrectly?
Help taking a test.!
Answer:
If Romona Complete all 30(Don't forget to group all 30) 5/6 were correct! then you will need to subtract 30-5/6= so that would be 29 1/6 Then if you need to find the amount that would be right take the Whole number! so take 30/50 and divide and you should get your answer!
Step-by-step explanation:
i hope this helps
12a + 5c = 2550 method of elimination
Answer:
i like you
Step-by-step explanation:
A basketball team won 80% of the games played.if the team played 25 games,how many games did they lose?
Answer:
5
Step-by-step explanation:
Solve if x greater than 0then √x^3+x^2-√4+4x
For x greater than 0, the solution of the radical equation √(x³ + x²) - √(4 + 4 · x) = 0 is x = 2.
What is the solution of the radical equation?
Herein we have a radical equation, which must be solved by algebraic handling, especially by the use of power and root properties:
√(x³ + x²) - √(4 + 4 · x) = 0 Given
√(x³ + x²) = √(4 + 4 · x) Compatibility with addition / Existence of additive inverse / Modulative property
x · √(1 + x) = 2 · √(1 + x) Power and root properties
x = 2 Compatibility with multiplication / Existence of multiplicative inverse / Modulative property
For x greater than 0, the solution of the radical equation √(x³ + x²) - √(4 + 4 · x) = 0 is x = 2.
Remark
The statement presents typing mistakes and mathematical expression is incomplete. Correct form is shown below:
Solve if x > 0 and √(x³ + x²) - √(4 + 4 · x) = 0.
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A coin is tossed, and a die is rolled. What is the probability that the outcome is a head or an even number?
Answer: When a coin is tossed and a die is rolled the probability of getting a head or an even number is = 3/4
Step-by-step explanation:
probability : The ratio of the favorable outcome to the total outcomes is gives the probability.
So for the given case all possible outcomes are = 12(1,H),(1,T),(2,H),(2,T),(3,H),(3,T),(4,H),(4,T),(5,H),(5,T),(6,H),(6,T)
total no of outcomes when there is head on coin are = 6(1,H),(2,H),(3,H),(4,H),(5,H),(6,H)
Total no of outcomes when there is even on dice are = 3(2,T),(4,T),(6,T)
So the total number of favorable outcomes are:6+3 = 9
Total outcomes = 12Therefore the probability is given by 9/12 = 3/4
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Answer: The probability of getting a head or an even number is = 3/4
What is probability?It is the measure of how likely an event or outcome is. Different events have different probabilities!For the given case: Possible outcomes are(1,H),(1,T),(2,H),(2,T),(3,H),(3,T),(4,H),(4,T),(5,H),(5,T),(6,H),(6,T)
So, no. of possible outcomes 12
No. of coin outcomes (when it's head) = 6(1,H),(2,H),(3,H),(4,H),(5,H),(6,H)
No of dice outcomes (when it's even) = 3(2,T),(4,T),(6,T)
So the total number of favourable outcomes are:6+3 = 9
Total outcomes = 12
Probability = \(\frac{No. of favorable outcomes}{total outcomes}\)
Probability for this case is = \(\frac{9}{12} =\frac{3}{4}\)
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Iris's checking account pays simple interest at 3% per year. She has $185 in her account. Write a linear function to model the amount of money in her checking account at any time t.
HELP PLEASE!! ASAP!!
Answer:
f(x) = -3x+1
Step-by-step explanation:
every straight graph has an equation f(x) = m * x + b
when the graph goes up when you look at it from left to right, m is a positive number. when it goes down, then m is negative.
the value of m you can read when you go 1 to the right and then count how many you need to go up/down to meet the graph. in this picture, you need to go down 3.
So m = -3
b is how many you habe to go up (+) or down (-) from the center point 0
so in this case you see on the picture that the graph is hitting the y line on 1
so your equation is -3x + 1
can you please help me with this
Sathish will be going to pay a total of $64.8 for the gas.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
The First 150 and last 150 km will cover by Satish only
Since 6 liters covers 100 km
So,
Cost of 300 km (18 liters) ⇒ 18×1.2 = 21.6
Now,
The journey 2100 - 300 = 1800 km has been covered by all three
Split 1800/3 = 600 km of money Satish will pay
So,
Cost of 600km(36 liters) ⇒ 36 × 1.2 = 43.2
Total paid = 21.6 + 43.2 = 64.8.
Hence "Satis will be going to pay a total of $64.8 for the gas".
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Let X have the probability mass function P(X = −1) = 1 2 , P(X = 0) = 1 3 , P(X = 1) = 1 6 Calculate E(|X|) using the approaches in (a) and (b) below. (a) First find the probability mass function of the random variable Y = |X| and using that compute E(|X|). (b) Apply formula (3.24) with g(x) = |x|. For reference, formula 3.24 states
Answer:
Step-by-step explanation:
From the given information:
Note that the possible values of Y are 0 and 1 because;
y = 0 if X = 0 and y = 1 if X = ±1
∴
\(P(Y =0) = P(X = 0) =\dfrac{1}{3}\)
\(P(Y = 1) = P(X = -1 \ or \ 1) \\ \\ = P(X = -1) + P(X = 1)\)
\(= \dfrac{1}{2}+ \dfrac{1}{6}\)
\(=\dfrac{3+1}{6}\)
\(= \dfrac{2}{3}\)
b)
\(E(|X|) = \sum |x| P(X=x) = ( 1 \times \dfrac{1}{2}) + ( 0\times \dfrac{1}{3}) + ( 1 \times \dfrac{1}{6})\)
\(= \dfrac{2}{3}\)
A seed has a 54% probability of growing into a healthy plant. 7 seeds are planted.What is the probability that the number of plants that grow is exactly 1?
The probability of growing seed exactly one is 0.0033.
What is probability?The probability of a seed not growing is 0.46, because if it has a 54% chance of growing, then 100% - 54% to find the odds that it will not grow, which is 46%.
The probability of 7 seeds growing is equivalent to asking what the probability is of a seed growing and another seed growing and another seed growing and another seed, and so on until I say a total of 7seeds. The point is that "and" in probability means to multiply.
To calculate the likelihood of seven seeds growing,
(0.46)(0.54)⁷
Probability = 0.0033
Probability = 0.0033 x 100
= 0.33%
Therefore probability of growing exactly one seed is 0.0033.
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How to simplify this:
Arcctg(tg(x) )
The expression arcctg(tg(x)) simplifies to arcctg(tan(x)).
To simplify the expression arcctg(tg(x)), we can apply trigonometric identities and properties.
The function arcctg(x) is the inverse cotangent function, which is the angle whose cotangent is x. Similarly, tg(x) represents the tangent function.
First, let's simplify the expression inside the arcctg function, which is tg(x):
tg(x) = sin(x) / cos(x)
Now, we can substitute this value into the original expression:
arcctg(tg(x)) = arcctg(sin(x) / cos(x))
Using the property of inverse trigonometric functions, we can rewrite this as:
arcctg(sin(x) / cos(x)) = arcctg(1 / tan(x))
Now, we can simplify further using the identity:
1 / tan(x) = cot(x)
Therefore:
arcctg(1 / tan(x)) = arcctg(cot(x))
Using another identity, we know that the cotangent function is the reciprocal of the tangent function:
cot(x) = 1 / tan(x)
Therefore, we can simplify the expression to:
arcctg(cot(x)) = arcctg(1 / tan(x)) = arcctg(tan(x))
Finally, we arrive at the simplified expression:
arcctg(tg(x)) = arcctg(tan(x))
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(3x²+7x-4)+(10x²-6x-19)
Answer:
13x² + x - 23
Step-by-step explanation:
(3x² + 7x - 4) + (10x² - 6x - 19)
=> 3x² + 7x - 4 + 10x² - 6x - 19
=> 3x² + 10x² +7x - 6x - 4 - 19
=> 13x² + x - 23
You obtain a simple interest loan from National city for $2500 at 7.6% for 5 years. Find the amount of interest on the loan
Answer:
950
Step-by-step explanation:
2500(0.076)(5) = 950
An adult dinner cost 8 a family of 2 adults and children pay 24 for the their dinners
Answer:
The total cost will be 2 adult ($16), and 4 children ($8)
What’s the answer to If =3+23
, what is
when =1
and =2
?
The value of y when a = 1 and b = 2 is 22.
How to solve an equation?The equation of can be solved as follows: We will substitute the value of a and b in the equation to find the value of y.
Therefore,
y = 3ab + 2b³
Let's find y when a = 1 and b = 2
Hence,
y = 3(1)(2) + 2(2)³
y = 6 + 2(8)
y = 22
Therefore,
y = 22
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2x-1=y
3x-1=y
Consider the system of equations above. Which of the following statements about this system is true?
Answer:
B; There is only one (x,y) solution and y is negative
Step-by-step explanation:
First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.
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someone please help meee
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what do you need help wirh
OV Career Readiness 2.0 Q wwwwww X + careerreadiness Applied Math Level 6- Posttest win KEY WORDS The scale factor on a scale drawing of machine part is 15 ¹/8. If the part is 3 7/8 inches long on the drawing, how long is the actual part? FORMULA SH
Given statement solution is :- The actual length of the part is 3751/64 inches.
To find the length of the actual part, you can use the scale factor and the length of the part on the drawing. The formula for finding the actual length is:
Actual Length = Length on Drawing × Scale Factor
In this case, the length on the drawing is given as 3 7/8 inches, and the scale factor is given as 15 ¹/8. Let's calculate the actual length:
Length on Drawing = 3 7/8 inches = (3 × 8 + 7) / 8 = 31/8 inches
Scale Factor = 15 ¹/8
Now we can substitute the values into the formula:
Actual Length = (31/8 inches) × (15 ¹/8)
To perform the multiplication, we can convert the mixed fraction into an improper fraction:
15 ¹/8 = (15 × 8 + 1) / 8 = 121/8
Now we can multiply the fractions:
Actual Length = (31/8) × (121/8)
To multiply fractions, we multiply the numerators together and the denominators together:
Actual Length = (31 × 121) / (8 × 8)
Actual Length = 3751 / 64
Therefore, the actual length of the part is 3751/64 inches.
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Solve this problem (-25) +(-12)+(-34)=show me the steps
Answer:
(-25)+(-12)+(-34) = -71
so when you add negative numbers you simply add them such as -2+-2 -4
so same conditions
so it will be -25+-12+-34 and it will simply be 25+12+34 so -71
solve for x 3x + 6y = 9
The amount that Gretchen charges for babysitting is proportional to the number of hours she babysits. She charges $18 to babysit for
1.5 hours
Which equation relates the amount Gretchen charges in dollars, c, and the amount of time in hours that she babysits, h?
Answer:
Gretchen charges $12 dollars per hour
Step-by-step explanation:
$18/1.5=$12
Quadrilateral A' B' C' D' is the image of quadrilateral A B C D under a translation.
The translation that maps quadrilateral A B C D to A' B' C' D' is
Translation 2 units right
Translation 5 units down
What is translation in geometry?Translation in geometry is the process of transposing a figure or an object in either a coordinate plane or 3D space without modifying its size, shape and alignment.
It involves "moving" or "sliding" the figure or entity along a straight line to a set distance while at the same time preserving its form and positioning.
For the quadrilateral, the translation involved are
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I need Help please!!!
Step-by-step explanation:
it seems you solved the tricky part yourself already.
just to be sure, let's do the first derivative here again.
the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...
f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =
= 3t⁴ + 18t³ + 24t² + 18t + 21
f'(t) = 12t³ + 54t² + 48t + 18
and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).
we simply put the input number (2) at every place of the input variable (t).
so,
f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =
= 426
y = x + 6
y = -2x - 3
Answer:
(x,y)=(-3,3)
Step-by-step explanation:
stuck on this question
find the value of x in the following parallelogram:
6x-15=5x+10=x+15
Answer:
x=6
Step-by-step explanation:
The temperature during a winter day was less than 8 degrees Fahrenheit. Digby wants to write an inequality for the temperature during the winter day. What constant should Digby use in the inequality?
The constant that will be used in Digby's linear inequality will be 8.
What are linear inequalities, exactly?
Inequality is a mathematical statement that states that neither side is equal. When a link causes a non-equal comparison between two expressions, an inequality develops. The inequality symbols, such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), or not equal to symbol (≠), replace the equal sign "=" in the sentence. In mathematics, inequalities are classified into three types: polynomial inequalities, rational inequalities, and absolute value inequalities.
The characters '<' and '>' denote severe inequalities, whereas " ≤ and ≥ " denote slack inequalities.
Now,
Given that The temperature during a winter day was less than 8 degrees Fahrenheit.
let x be the temperature in degree Fahrenheit
then the linear inequality to show the statement will be
x<8 where 8 is a constant
Hence,
The constant that will be used in Digby's linear inequality will be 8.
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Answer:
The awnser is 8.
Step-by-step explanation:
i just know<33
checking my work. which one?
Answer:
Dividing exponents you subtract.
3^8/3^5 = 3^3
3^3
Multiplying exponents when an exponent is raised to another.
(3^3)^3 = 3^9
Final Answer is \(3^{9}\)Apparently this makes no sense according to comments, if you want a more indepth look into exponents search "The properties of exponents".
Answer:
3^6
Step-by-step explanation:
300,000,000/300,000=1,000 + ^3 = 1,000,000
<3 Enjoy,
Dea
19. How many actions does Jolene perform in 1 hour? 20. In 1 hour, how many more actions does Jolene perform than Pedro 2 Game Efficiency Player (actions per minute) Kendra 350 Pedro 100 Jolene 315 actions 19. In 1 hour, Jolene performs (Type a whole number) 1 More Enter your answer in the answer box and then click Check Answer Check And. please help marking as brian lest
Answer: Jolene is a character in Phantom Hourglass.3 1 Biography 2 Non-Canon Appearances 2.1 Phantom Hourglass Manga 3 Nomenclature 4 Gallery 5 References Jolene keeps a vigilant eye out for her old friend Linebeck, with whom Link travels, so that she might get her revenge on him. If she spots the SS Linebeck, she will attack and ambush. If this happens, Link must fight off Jolene, and if he is ...
(x-3) + (2x-1) + (3x-2) + (2x-3) + x = 360°
Find the value of x,
Answer:
41
Step-by-step explanation:
simplify the left side:
\(9x - 9 = 360\\9x = 369\\x = 41\)
Answer:
\(x=41\)
Step-by-step explanation:
1. Simplify the expression
\(x-3+2x-1+3x-2+2x-3+x=360\)
Group like terms:
\(\left(x+2x+3x+2x+x\right)+\left(-3-1-2-3\right)=360\)
Simplify the arithmetic:
\(9x+\left(-3-1-2-3\right)=360\)
Simplify the arithmetic:
\(9x-9=360\)
2. Group all constants on the right side of the equation
\(9x-9=360\)
Add 9 to both sides:
\(9x-9+9=360+9\)
Simplify the arithmetic:
\(9x=360+9\)
Simplify the arithmetic:
\(9x=369\)
3. Isolate the x
\(9x=369\)
Divide both sides by 9:
\(\frac{9x}{9}=\frac{369}{9}\)
Simplify the fraction:
\(x=\frac{369}{9}\)
Find the greatest common factor of the numerator and denominator:
\(x=\frac{41\cdot 9}{1\cdot 9}\)
Factor out and cancel the greatest common factor:
\(x=41\)
Terms and topics
Linear equations with one unknownCheers,
ROR