Answer:
B,A
Step-by-step explanation:
hope that's right
The sum of all decent fractions with a denominator of 20 is 4.
Thus, option (d) is correct.
To find the sum of all decent fractions whose denominator is equal to 20, consider fractions with numerators that are coprime to 20 (i.e., the numerator and 20 have no common factors other than 1).
The decent fractions with a denominator of 20 can be written as:
1/20, 3/20, 7/20, 9/20, 11/20, 13/20, 17/20, and 19/20.
To find the sum, add up these fractions:
Sum = 1/20 + 3/20 + 7/20 + 9/20 + 11/20 + 13/20 + 17/20 + 19/20
Sum = (1 + 3 + 7 + 9 + 11 + 13 + 17 + 19) / 20
Sum = 80 / 20
Sum = 4
Therefore, the sum of all decent fractions with a denominator of 20 is 4.
Thus, option (d) is correct.
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Expand each binomial.
(9-2 x)⁵
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. (9 - 2x)⁵ is expanded as 59049 − 65610x + 29160x² − 6480x³ + 720x⁴ − 32x⁵.
What is meant by binomial expansion theorem?The Binomial theorem tells us how to expand expressions of the form (a + b)ⁿ, for example, (x + y)⁷. The larger the power is, the harder it is to expand expressions like this directly.
The total number of terms in the expansion of (x+y)ⁿ are (n+1).
The sum of exponents of x and y is always n.
nC₀, nC₁, nC₂, … .., nCₙ are called binomial coefficients and also represented by C₀, C₁, C₂, ….., Cₙ
The binomial coefficients which are equidistant from the beginning and from the ending are equal.
i.e. nC₀ = nCₙ, nC₁ = nCₙ₋₁ , nC₂ = nCₙ₋₂ ,….. etc.
Let the function be (9 - 2x)⁵
By using binomial expansion theorem, we get
(9 - 2x)⁵ = 59049 − 65610x + 29160x² − 6480x³ + 720x⁴ − 32x⁵.
(9 - 2x)⁵ is expanded as 59049 − 65610x + 29160x² − 6480x³ + 720x⁴ − 32x⁵.
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I need help…………………….
Drag each division expression to the correct location on the table.
Solve each division problem, and classify it based on its quotient.
There are three expressions having quotient 6 are:
4 2/3 ÷ 7/9
9 ÷ 3/2
12/7 ÷ 2/7
There are three expressions having quotient 9 are:
4 1/2 ÷ 1/2
21 ÷ 7/3
72/7 ÷ 8/7
What is division?The splitting of a large group into smaller groups such that every group will have an equal number of items.
We have,
Finding quotient for each expression.
1.
4 2/3 ÷ 7/9
= 14/3 ÷ 7/9
= 14/3 x 9/7
=6
2.
9 ÷ 3/2
= 9 x 2/3
= 6
3.
4 1/2 ÷ 1/2
= 9/2 x 2/1
= 9
4.
21 ÷ 7/3
= 21 x 3/7
= 9
5.
12/7 ÷ 2/7
= 12/7 x 7/2
= 6
6.
72/7 ÷ 8/7
= 72/7 x 7/8
= 9
Thus,
Expression having quotient 6:
- 4 2/3 ÷ 7/9
- 9 ÷ 3/2
- 12/7 ÷ 2/7
Expression having quotient 9:
- 4 1/2 ÷ 1/2
- 21 ÷ 7/3
- 72/7 ÷ 8/7
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Apolline is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus
a constant fee for each hour of work. Her fee for a 5-hour job, for instance, is $42. Her fee for a
3-hour job is $28.
Let y represent Apolline's fee (in dollars) for a single job that took a hours for her to complete.
Which of the following information about the graph of the relationship is given?
Choose 1 answer:
Slope and z-intercept
Slope and y-intercept
Slope and a point that is not an intercept
z-intercept and y-intercept
y-intercept and a point that is not an intercept
Two points that are not intercepts
The given information about the graphs of the given relationship are two points that are not intercepts.
What are intercepts ?
Intercepts of a function are the points on the x-axis or y-axis where the graph of an curve or function intersects the axes.
X intercepts are the points where the graph crosses the x-axis or where y=0
Y intercepts are the points where the graph crosses the y- axis or where
x= 0
Given that Apolline is mowing lawns and her fee for a 5 hour job is $42 and her fee for a 3 hour job is $28.
Let y represents Apolline fee in dollars for a single job that took z hours for her to complete and it is given that when z = 5 hour then y =$42 and when z= 3 hour then y= $28
Therefore these are two point (y, z) = (42,5 ) and (28, 3 ) where none of the coordinates are zero which means that none of them is intercept.
Thus, the given information about the graph of the relationship are two points (42,5 ), (28, 3 ) which are not intercepts.
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Factor each expression completely. 16 a²-9 b²
Use the identity a^2-b^2 = (a+b)(a-b) to factor 16a^2 - 9b^2. The two terms are perfect square thus find a and b by taking the square roots. Complete the factoring of a^2 - b^2
16a^2−9b^2
a=√16a^2=4a
b=√9b^2=3b
a^2−b^2=(4a)^2−(3b)^2
Substitute: a^2-b^2 = (a+b)(a-b)
(4a+3b)(4a−3b)
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Add or subtract if possible. ∛54x³-∛16 x³
We get that when the expression ∛ 54 x³ - ∛ 16 x³ is simplified using subtraction, we get the result as ∛ 2 x.
We are given the expression:
∛ 54 x³ - ∛ 16 x³
We need to subtract to simplify the expression.
First, we know that:
54 = 2 × 3 × 3 × 3
16 = 2 × 2 × 2 × 2
So,
∛ 54 x³ = 3 ∛2 x
∛ 16 x³ = 2 ∛2 x
So, we get the expression as:
3 ∛ 2 x - 2 ∛ 2 x
Combining the like terms, we get that:
= ∛ 2 x
Therefore, we get that when the expression ∛ 54 x³ - ∛ 16 x³ is simplified using subtraction, we get the result as ∛ 2 x.
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please help ASAP!!!!…
From the given situation involving two parallel lines cut by transversal, we have that:
1) The value of x is of x = 20º.
2) Jenna is correct, because 3x and 120º are alternate interior angles.
What is the value of x in item 1?We have to consider two things, as follows:
Angle 6 is supplementary with of the angle of 5x + 35º, hence they add to 180º.Angle 6 and 45º are vertical, hence they are congruent, that is, m<6 = 45º.Thus:
5x + 35 + m<6 = 180º
5x + 80 = 180
5x = 100
x = 100/5
x = 20º.
The value of x is of x = 20º.
Who is correct in item 2?To solve item 2, we have to consider that 3x and 120º are alternate interior angles, hence they are congruent, and:
3x = 120º
x = 120/3
x = 40º.
Hence:
Jenna is correct, because 3x and 120º are alternate interior angles.
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rewrite the equation in standard form (y=ax^2+bx+c)
y=3(x-5)^2 +1
please show and explain steps, thanks
It should be noted that rewriting the equation y=3(x-5)² +1 in another form is y = 3x² - 30x + 76.
How o illustrate the information?It should be noted that the information is that we should rewrite the equation y=3(x-5)² +1 in another form.
This will be illustrated as:
y = 3(x-5)² + 1.
It should be noted that (x - 5)² will be:
= (x - 5)(x - 5)
= x² - 5x - 5x + 25
= x² - 10x + 25
y = 3(x-5)² + 1.
y = 3(x² - 10x + 25) + 1
y = 3x² - 30x + 75 + 1
y = 3x² - 30x + 76
In conclusion, it should be noted that rewriting the equation y=3(x-5)² +1 in another form is y = 3x² - 30x + 76.
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Help me with this question.
Let's solve the problem,
→ [(2 + 2) - (6 - 2)] ÷ 2
→ (4 - 4) ÷ 2
→ 0 ÷ 2 = 0
Thus, the answer is 0.
4. Can you prove the decimal 0.142857 is a rational number? Yea
The decimal number 0.142857 is a rational .
A rational number is defined as a number which can be written in the form p/q such that p and q are co-prime.
Co-prime numbers do not have any common factors between them other than 1.Rational numbers are a subset of real numbers.Irrational numbers are numbers which can not be written in the form p/q where p and q are both integers. Examples of irrational numbers are √2 or any non-terminating non repeating decimals.The decimal number given is 0.142857 . This number can be written in the form of a fraction of 142857/1000000 .
Now the prime factorization of 142857 gives 3³ x 11 x 13 x 37 and the Prime factorization of 1000000 is given by 2⁶ × 5⁶
So we can see that there are no common factors between the two numbers. Hence they are co-prime.
∴ 0.142857 is a rational number as it can be written in the form p/q.
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What is a algebraic expression of “ 5 time a number”
Answer: 5x
Step-by-step explanation:
Ann starts her homework at 4.15pm. she takes 1 hour and 10 minutes. what time does she finish?
Answer:
5:25pm
Step-by-step explanation:
4.15 + 1.10 = 5.25
Mrs. Brady purchased an item on sale and described her purchase to her students. Four students each wrote an expression to represent the cash Mrs. Brady paid for the item, in dollars, given an original price of P and the use of a five dollar gift card to help pay for the purchase. Their expressions are shown in the table below.
The variable terms in all four expression indicates that the item was on 25% off.
The expressions with more terms indicate a different sale price than the expressions with fewer terms.
The constant term in each expression indicates the original price of the item Mrs. Brady purchased.
The constant term in each expression indicates that the sale price is not dependent on the original price of the item.
The constant term in each expression indicates the amount deducted when the gift card was applied to the purchase.
The variable terms in all four expressions indicate that the item was on sale of 25 percent off.
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If n is a negative number and p is a positive
number, which of the following is the greatest?
A. n-p
B. np
C. np^2
D. p-n
E. pn^3
Answer:
The answer is n-p
Please mark me brainalist !
How to figure out what to do HCF or LCM
Answer: To find the HCF, find any prime factors that are in common between the products. Each product contains two 2s and one 3, so use these for the HCF. Cross any numbers used so far off from the products. To find the LCM, multiply the HCF by all the numbers in the products that have not yet been used.
Step-by-step explanation:
what property is used in 7+(4+6)=7+n
The substitution property of equality is the property used in 7+(4+6)=7+n
What is the substitution property of equality?
The substitution property of equality refers to when a value is replaced in an equation with another value that are same or equal to the first. say AA is being used in an equation and another value say BB, replaces AA in the equation. In this case we say that AA is being substituted for BB in the equation
The equation here can be compared to see that n and ( 4 + 6 ) are the pairs that are substituted so we can say that the property used here is the substitution property of equality
Given data
7+(4+6)=7+n
n = ( 4 + 6 )
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To avoid a storm, a passenger-jet pilot descended 0.14 mile in 0.4 minute. What was the plane's average change of altitude per minute?
plane's average change of altitude per minute 0.35 miles descended per minute.
What is proportion ?
A proportion is an equation based on the equality of two ratios.
Here it is given that :
To avoid a storm, a passenger-jet pilot descended 0.14 mile in 0.4 minute and it is to find the plane's average change of altitude per minute and to find that we divide 0.14 miles with 0.4 minutes it will give us the descended
passenger-jet pilot does in a minute that is plane's average change of altitude :
In 0.4 minute = 0.14 miles descended
In 1 minute = 0.14/0.4 miles descended
In 1 minute = 0.35 miles descended
Therefore, plane's average change of altitude per minute 0.35 miles descended per minute.
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If 3 apples are 3 for 90 cents and i buy 7 apples how much did I pay
Answer:
Step-by-step explanation:
2.10$
your answer is 2.10$
Find the sum 3/5+(-1/5)
Solving the Question
Whenever we add or subtract fractions, we have to first ensure that the denominators of the fractions are the same. In this case, they are, so we don't have to go out of our way to find a common denominator.
[tex]\dfrac{3}{5}+(-\dfrac{1}{5})[/tex]
Now, let's open up the parentheses:
[tex]\dfrac{3}{5}-\dfrac{1}{5}[/tex]
Subtract only the numerators:
[tex]\dfrac{2}{5}[/tex]
Answer[tex]\dfrac{2}{5}[/tex]
Simplify the expression
a(6-1)+3b-b(2-1)+10
Answer:
5a+2b+10
Step-by-step explanation:
Let's simplify step-by-step.
a(6−1)+3b−b(2−1)+10
=5a+3b+−b+10
Combine Like Terms:
=5a+3b+−b+10
=(5a)+(3b+−b)+(10)
=5a+2b+10
2x + x - 4y simplify by combining like terms
help me plsssss the deadline is noww
multiple choice :
A) 0
B) 6
C) 32
D) 4
E) 36
Answer:
your answer would be b ( 6 )
Step-by-step explanation:
Answer:
B) 6
Step-by-step explanation:
[tex]{ \tt{ {(k - 2)x}^{2} - 6x + 12 = 0}} \\ \\ { \tt{ {x}^{2} - \: ( \frac{6}{k - 2})x \: + \: \frac{12}{k - 2} = 0 }}[/tex]
Product of roots: 12/(k-2)
[tex]{ \tt{ \frac{12}{k - 2} = 3 }} \\ \\ { \tt{3(k - 2) = 12}} \\ \\ { \tt{ \frac{3(k - 2)}{3} = \frac{12}{3} }} \\ \\ { \tt{k - 2 = 4}} \\ \\ { \tt{k = 6}}[/tex]
I need the answer for question #8
7. Find x
(3x-21)
(2x+4)
Answer:
x= 7
Step-by-step explanation:
3 × 7 =21
A factory produces 100 units of a certain product and 6 of them are defective. If three units are picked at random then what is the probability that at least one of them is defective?.
The probability that at least one of them is defective if three units are picked at random is 0.8560.
We would define Ai as the event that the i th chosen unit is not defective, for I = 1, 2, 3. We are interested in P (A1 ∩ A2 ∩ A3). Note that
P(A1) = 95/100
Given that the first chosen item was good, the second item will be chosen from 94 good units and 5 defective units, thus
P (A2 ∣ A1) = 94/99
Given that the first and second chosen items were okay, the third item will be chosen from 93 good units and 5 defective units, thus
P (A3∣ A2, A1) = 93/98
Thus, we have
P(A1∩ A2 ∩ A3) = P(A1) P(A2∣ A1) P(A3∣ A2, A1)
=95/100*94/99*93/98
=0.8560
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Answer the following questions.
口
1) Choose the correct answer.
Which set of numbers are integers but not whole numbers or natural numbers?
O{0, 1, 2, 3}
O {√1,√√4,√-5}
O{-2, -3, - 4}
01 11
2'4'8)
0 {/1/2
}}
O {√2, T, √3}
The set of numbers that are integers but not whole numbers or natural numbers is {-2, -3, -4}
From the question, we are to determine the set of numbers that are integers but not whole numbers or natural numbers
An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero. E.g -5, -13, 5, 0, -3, 78, 15, etc
Whole numbers is a collection of all the basic counting numbers and 0. E.g 0, 1, 2, 3, 4, 5 etc
Natural numbers are the numbers that start from 1 and end at infinity. E.g 1, 2, 3, 4, 5, 6, etc
Hence, the set of numbers that are integers but not whole numbers or natural numbers is {-2, -3, -4}
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0.3 centimeters= ?meters
Write each expression as a single natural logarithm. 4 ln 8+ln 10
Expression as a single natural logarithm is ln 64/64 = ln 1.
ln 1 is the converted from 2 ln 8-3 ln 4 to a single natural logarithm.
We need to convert 2 ln 8-3 ln 4 as a single natural logarithm.
First apply power property
⇒ ln 8² - ln 4³
⇒ ln 64 - ln 64
Now, applying quotient property
⇒ ln 64/64 = ln 1
Here, we finally converted 2 ln 8-3 ln 4 to a single natural logarithm ln 1.
What is natural logarithm?The inverse of an exponential function, the natural log is the logarithm to the base of the number e. Natural logarithms are unique varieties of logarithms that are employed in the treatment of time and growth-related issues.
The distinction between log and ln is that log is expressed in terms of base 10, while ln is expressed in terms of base e. As an illustration, log of base 2 is denoted by log2 and log of base e by loge = ln (natural log).
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Can someone please explain this to me I need help asap
The value of x in the mean is 53.
How to calculate the value?The total values of the numbers will be given as:
= 50 × 5
= 250
Therefore, the last number represented by x will be:
= 250 - (55 + 45 + 53 + 44)
= 250 - 197
= 53
Therefore, the value of x is 53.
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31.4 rounded to the nearest tenth of a centimeter
Answer: 31.4
Step-by-step explanation:
the four is in the tenth place and we are rounding to that place.
The given decimal number is rounded to the nearest tenth as 31.4.
The given decimal number is 31.4.
Rounding a number means the process of making a number simpler such that its value remains close to what it was. The result obtained after rounding off a number is less accurate, but easier to use. While rounding a number, we consider the place value of digits in a number.
Here, in 31.40 digit in the hundredths place is 0, which is less than 5.
So, the digit in the tens place remain same and digits after tens place becomes zero.
That is, 31.4
Therefore, the given decimal number is rounded to the nearest tenth as 31.4.
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