ANSWER:
A) 4 candies in each package.
B) Owen gave 20 candies to Clive.
STEP-BY-STEP EXPLANATION:
A) We can calculate the amount of candy per package since we know the total amount and the number of packages, then:
\(\frac{100}{25}=4\)which means that there are 4 candies in each package.
B) We can calculate 1/5 of a number by dividing that number by 5. Then Owen gave the following candies to Clive:
\(\frac{100}{5}=20\)Three pizza are shared equally among 12 people.what fraction of a pizza will each person get?
A
4/1
B
3/1
Answer:
d) 1/12
Step-by-step explanation:
For y=f(x)=7x^3, x=5, and Ax=0.06 find
A) Ay for the given x and Ax values,
B) dy=f’ (x)dx,
C) dy for the given x and Ax values
The functions and equations y = f(x) = 7·x³, x = 5, Δx = 0.06, indicates that we get;
a) Δy = 31.879512
b) dy = 21·x²dx
c) dy = 31.5
What is a function?A function is a rule that maps input variables to output variables in a relationship in which an input is assigned to exactly one output.
a) The value of the function y = f(x) = 7·x³
The value of x = 5
Value of the change in x, Δx = 0.06
The change in y, Δy is therefore;
Δy = f(x + Δx) - f(x), from which we get;
Δy = f(5 + 0.06) - f(5) = f(5.06) - f(5)
Δy = f(5.06) - f(5)
Plugging in the values of x = 5.06, and x = 5 in the function f(x), we get;
f(5.06) = 7 × (5.06)³ = 906.879512
f(5) = 7 × 5³ = 875
Therefore; Δy = f(5.06) - f(5) = 906.879512 - 875 = 31.879512
Δy = 31.879512
b) dy = f'(x)dx
f'(x) is the derivative of the function f(x)
dy/dx = f'(x) = 3 × 7 × x² = 21·x²
dy/dx = f'(x) = 21·x²
dy = f'(x)dx = 21·x²dx
dy = 21·x²dx
c) dy for the given x and Δx values can be found by plugging in x = 5 and dx = Δx = 0.06 in the equation, dy = 21·x²dx, as follows;
dy = 21 × 5²× 0.06 = 31.5
dy = 31.5
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Find the LCM of A= 3^2 x 5^4 x 7 and B= 3^4 x 5^3 x 7 x11
The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.
Given are two numbers which are showed in the prime factorized form.
A = 3² × 5⁴ × 7
B = 3⁴ × 5³ × 7 × 11
Prime factorization is the factorization of a number in terms of prime numbers.
In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.
A = 3² × 5³ × 5 × 7
B = 3² × 3² × 5³ × 7 × 11
Bring down the primes in each column.
LCM = 3² × 3² × 5³ × 5 × 7 × 11
= 3898125
Hence the LCM is 3898125.
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Can someone please help me with this
Answer:
7
Step-by-step explanation:
Multiply -8 and -3 and that would be 24 and you put that over 1 and then you have to have a common denominator which would be 4 and multiply that by 24 and you get 96 and then you would do 96 - 68 and you get 28 you don't subtract the denominator you just leave it and then it would be 28 over 4 and then you divide that to get 7.
May you help me please with this homework for Math?
The the vertices of reflected square, Q'R'S'T are Q' = (3, 1), R' = (-8, -2), S' = (-7, -7) and T' = (-2, -6)
What is reflection?A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.
Given that, a square QRST with vertices Q(-3, 1), R(8, -2), S(7, -7) and T(2, -6)
is reflected across y-axis, to form Q'R'S'T we need to find the vertices of reflected square.
We know that, rule of reflection over y-axis,
(x, y) → (-x, y)
Q' = (3, 1)
R' = (-8, -2)
S' = (-7, -7)
T' = (-2, -6)
Hence, the the vertices of reflected square, Q'R'S'T are Q' = (3, 1), R' = (-8, -2), S' = (-7, -7) and T' = (-2, -6)
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Find the inverse of this function (fast)
10^2x+3=5
Solve, expressing your answer in an exact form involving a common logarithm and showing your steps.
Help please
What is 6721 x 381 divided by 14 + 84
Answer: 26129.6
Step-by-step explanation:
6721 x 381 = 2560701
14 + 84 = 98
2560701 / 98 = 26129.6
can somebody help? :(
Answer:
What is the question??????????
assume that a and b are positive integers. for each statement below, determine whether the statement is true or false, and indicate your answer in the appropriate box
Given Statement (a!)b = ab! is false becuase it is not appropriate to represent factorial like this.
What is Factorial?
In mathematics, the term "Factorial" refers to the sum of all positive integers that are less than or equal to a certain positive integer, which is followed by an exclamation point. Thus, factorial seven is denoted by the symbol 7!, which stands for 1*2*3*4*5*6*7. Factorial 0 is equivalent to 1 by definition.
(a!)*b = ab!
this depends on the value of a and b.
I'm not sure if the phrase "ab!" means to multiply a by b and then compute the factorial of the resulting product, as in (ab)!, or to compute the factorial of b first and then multiply this by a, as in a(b!). Either way, the assertion is false.
Given Question is incomplete Complete Question here:
assume that a and b are positive integers. for each statement below, determine whether the statement is true or false, and indicate your answer in the appropriate box (a!)b = ab!
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What is the value of S4 for
0 554
O
64
O
(J1
14
O 516
05/0
O
56
n-1
24 (1)
n=1
?
Answer: It's not entirely clear what is being asked for in the given question, as it is not clear what the numbers represent or what operation is being performed. If you could provide more information or context, I would be happy to try and help you.
Step-by-step explanation:
Complete this sequence of numbers such that the difference between any two adjacent numbers is the same : 3/k, _, _, 9/2k.
The completed sequence is: 3/k, 3/k, 3/k, 9/2k.To complete the sequence of numbers with a constant difference between adjacent numbers, we can calculate the common difference by subtracting the first term from the second term.
Let's denote the missing terms as A and B.
The given sequence is: 3/k, A, B, 9/2k.
The common difference can be found by subtracting 3/k from A or B. Therefore:
A - 3/k = B - A = 9/2k - B.
To simplify, we can equate the two expressions for the common difference:
A - 3/k = 9/2k - B.
Next, we can solve for A and B using this equation.
Adding 3/k to both sides gives:
A = 3/k + 9/2k - B.
Now, we can substitute the value of A into the equation:
3/k + 9/2k - B - 3/k = 9/2k - B.
Simplifying further, we have:
9/2k - 3/k = 9/2k - B.
Cancelling out the common terms, we find:
-3/k = -B.
Multiplying both sides by -1, we get:
3/k = B.
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Victor knows who killed his brother, but remains silent in chapters 5-8 of Frankenstein. Why?
A. He doesn't want to be executed.
B. He fears people will think he's insane if he tells the truth.
C. He is afraid Elizabeth will hate him.
D. He is afraid of being expelled from school.
Answer: b
Step-by-step explanation:
i took the quiz duhh
please help I'm gonna fail
Answer:
Ask me things ill try my best!
The probability of getting 4 face cards when 4 cards are drawn is
.
Probability of getting 4 face cards when 4 cards are drawn is 0.0018.
As given in the question,
Total number of cards = 52
Total number of cards drawn = 4
Total number of face cards in a pack of cards = 12
Probability of getting 4 face cards when 4 cards are drawn is
= ( 12/52 ) × ( 11/51 ) × ( 10/50 ) × ( 9/49 )
= ( 11880 ) / ( 6497400 )
= 0.0018 (round off)
Therefore, probability of getting 4 face cards when 4 cards are drawn is 0.0018.
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Simplify (4x)². Rewrite the expression in the form k ⋅ xⁿ
Answer:
16x²
Step-by-step explanation:
(4x)²4² *x²16*x² 16x²Someone help please, it’s a geometry question and I don’t know the answer
Step-by-step explanation:
Use segment addition:
TU + UV = TV
2 + UV = 8
UV = 6
I need the answers for the table below.
The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively
Given the function :
tan(πx)/7xSubstitute the given value of x to obtain the corresponding f(x) values :
x = -0.6
f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358
x = -0.51
f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350
x = -0.501
f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967
x = -0.5
f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959
x = -0.4999
f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958
x = 0.499
f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951
x = -0.49
f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188
x = -0.4
f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125
Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013
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Mr. green has a garden. Of the 40 seeds he planted, 35% were vegetable seeds. How many vegetable seeds did he plant
Answer:
14
Step-by-step explanation:
35% of 40 is 14
Answer:
I believe the answer is 14
Step-by-step explanation:
35% of 40 is 14
"Of" means multiply so I did 0.35 * 40
Complete the square by adding the correct missing term on the left, then factor as indicated:
The perfect square in this problem is given and factored as follows:
x² + x + 0.25 = (x + 5)².
What is a perfect square?The perfect square of the sum of two terms is given by the notable product presented as follows:
(x + a)² = x² + 2ax + a².
In the context of this problem, the expression is given as follows:
x² + x +
Then the coefficient a is obtained comparing the above function to the standard function as follows:
x² + x = x² + 2ax.
Then:
2a = 1
a = 0.5.
Hence the final term of the expression is given as follows:
a² = 0.5² = 0.25.
Thus the complete expression is:
x² + x + 0.25.
And the factored expression is of:
(x + 0.5)².
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Horatio recorded the daily high temperatures. On 66 days, the high temperature was greater than 88F. This was 75% of the days was the high temperature less than or equal to 88F
Therefore, Horatio recorded the high temperature for 264 days
What are the fundamental numbers?The initial ten integers are known as the basic numbers in mathematics. The list's starting position is 0, and the base numerals go from 0 to 9. Basic numbers include 0 (zero), 1, 2, 3, 4, 5, 6, 7, 8, and 9. (five).
Let's call the total number of days that Horatio recorded the high temperature "x". We know that 66 days had a high temperature greater than 88F, which means that the remaining days had a high temperature less than or equal to 88F.
According to the problem, 75% of the days had a high temperature less than or equal to 88F. We can write this as a proportion:
(75/100) = (x - 66)/x
Simplifying this proportion, we get:
0.75 = (x - 66)/x
Multiplying both sides by x, we get:
0.75x = x - 66
Subtracting x from both sides, we get:
0.75x - x = -66
Simplifying, we get:
-0.25x = -66
Dividing both sides by -0.25, we get:
x = 264
Therefore, Horatio recorded the high temperature for 264 days. And we know that 66 of those days had a high temperature greater than 88F, which means that the remaining days (264 - 66 = 198) had a high temperature less than or equal to 88F.
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I dont get this question equation
y=0.5 (6) - 4
I know that 0.5 is equivalent to 1/2 but I just don’t get this question
Answer
\(\pink\sf{y=-1}\)
Step-by-step explanation
I'm assuming that this exercise is asking us to simplify the equation \(\sf{y=0.5(6)-4}\).
We know that 0.5 (6) means 0.5 multiplied by 6. That is the same as 6 divided by 2, which is 3:
\(\sf{y=3-4}\)
And now we just simplify the last part:
\(\sf{y=-1}\)
∴ answer: y = -1
write a letter to a friend in another town invite him or her to spend Christmas holidays with you
Answer:
hey my friend please come over to spend the Christmas holidays with me and my family this year. If you are afraid of your dad it's ok I'll ask my mom to call him and ask him
The woods behind Wendy’s house were 8 miles wide and have an area of 24 mi.² what is the length of the woods 
Answer:
48 miles
Step-by-step explanation:
i think thats it.
Answer: 4.
Step-by-step explanation: 8+8=16. count how many more until you get to 24, that is 8. Split 8 in half. We get 4.
Hope this helps!
Please Help! Simplify the expression. [(7−3)⋅2+6]⋅3
Answer:
42
Step-by-step explanation:
[ ( 7 - 3 ) * 2 + 6 ] * 3
= [ 4 * 2 + 6 ] * 3
= [ 8 + 6 ] * 3
= 14 * 3
= 42
Isabel went to the grocery store. She spent $15.91 on vegetables and $11.22 on fruit. She also bought some bread. If she paid with 3 ten dollar bills and got 45 cents back in change, how much did she spend on bread?
Based on an equation, the amount that Isabel spent on bread was $2.42.
How the equation was solved?To solve the equation for the amount spent on bread, we determined the total amount Isabel spent by subtracting the change from the total bills she had.
An equation is a mathematical statement of the equality or equivalence of two or more mathematical expressions.
The amount Isabel spent on vegetables = $15.91
The amount she spent on fruits = $11.22
Let the amount she spent on bread = x
The total amount she went with = $30 (3 x $10)
The change she got after giving the cashier $30 = $0.45
The total amount Isabel spent for vegetables, fruits, and bread = $29.55 ($30.00 - $0.45)
x = $2.42 ($29.55 - $15.91 - $11.22)
Check:
Vegetables = $15.91
Fruits = $11.22
Bread = $2.42
Total expenses = $29.55
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-5 ( -10-2(-3)) to the 2nd power . numerical exponents
The value of -5 ( -10-2(-3)) to the 2nd power is -6480.
What is an exponent?It should be noted that an exponent simply means the number through which another number can be multiplied by itself.
Based on the information given, it should be noted that PEDMAS will be used. This implies:
P = parentheses
E = Exponents
D = division
M = multiplication
A = addition
S = subtraction
-5 ( -10-2(-3)² will be illustrated thus:
It's important to calculate the value in the parentheses first according to PEDMAS.
= -5 [(-12(-3)]²
= -5 (36)²
= -5 × 1296
= -6480
The value is -6480.
In this case, the concept of PEDMAS is used to get the value.
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Identify the y-coordinate
(9,[?])
Answer:
(9,16)
Step-by-step explanation:
We Know
The equation y = 3x - 2
Find the y coordinate (9, ?)
We just simply put 9 in for x and solve for y
y = 3(9) - 2
y = 18 - 2
y = 16
So, the coordinate are (9,16)
plz help!! will give brainliest!
Answer:
C) 13
Step-by-step explanation:
Ok so
8√3
what is the answer to 2x+2x-9=19
Answer:
x = 7
Step-by-step explanation:
Answer:
x = 7
Step-by-step explanation:
We have to solve for \(x\) so we isolate the value of x in the expression.
\(2x + 2x - 9 = 19\)
\(2x + 2x - 9 + 9 = 19 + 9\)
\(2x + 2x = 28\)
\(4x = 28\)
\(\frac{4x}{4} = \frac{28}{4}\\\)
\(x = 7\)