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What is the multiplicative inverse of 5/6
The multiplicative inverse of 5/6 as required to be determined in the given task content is 6/5.
What is multiplicative inverse?It follows from the task content that the multiplicative inverse of the given number; 5/6 is required to be determined.
By definition; it follows that the Multiplicative inverse of an expression refers to its reciprocal. It is the value that, when multiplied by the original, give a product of 1 (the multiplicative identity element).
So,
5/6 × 6/5
= 30/30
= 1
Hence, 6/5 is the multiplicative inverse of 5/6
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i need to solve this so can you pls hlp
Answer: D
Step-by-step explanation: x is a variable, and so is the number of tractors he sells. he is going to get paid $1000 for sure each month.
So 150x(the number of tractors) + 1000(his pay each month)
A rectangle is 8 millimeters wide and 27 millimeters long. What is the area of this rectangle? 70 mm² 166 mm² 216 mm² 223 mm²
Answer:
216 mm^2.
Step-by-step explanation:
Area = width * length
= 8 * 27
= 216 mm^2.
A sphere is cut into 8 congruent pieces. The radius of the
sphere is 8 centimeters. One piece is shown in the diagram,
What is the surface area of one piece of the sphere, as
shown in the diagram? Express the answer in terms .
Step-by-step explanation:
i hope this will help you!
simplify
\(30 \sqrt{14} \div 6 \sqrt{2} \)
A.
\(5 \sqrt{12} \)
b
\( \sqrt{7} \div 5\)
c
\(5 \sqrt[]{14} \)
d
\(5 \sqrt{7} \)
e 35
Answer:
I can try ^^
Step-by-step explanation:
D. \(5\sqrt{7}\)
Take 9 numbers forming a calendar and mark 4 number corner. Add the square of diagonal pair and difference of the sum
Round the number 3,454,877 to the nearest 100,000.*
Answer:
3,500,000
Step-by-step explanation:
the ten thousands place is a 5 so you round the 4 up to a 5
The curvature of a circle is inversely proportional to its radius. What is the exact circumference of a circle with one-third the curvature of a circle of radius 1?
The circumference of a circle with one-third the curvature of a circle of radius 1 is 18.85 units
What is circumference ?
The perimeter of a circle is known as its circumference. It is the length of the circle's whole perimeter. The diameter of a circle and the constant are multiplied to get the circumference of the circle. This measurement of a circle's circumference is necessary for someone to cross a circular park or for a circle-shaped table to have a border. The units of the circumference are the same as the units of length and it is a linear value.
If a circle has a radius of 1,
the curvature is inversely proportional to this
So, the curvature= 1
A circle with a curvature of 1/3 :
radius=3
Thus, the circumference of the circle = 2 *π * radius
= 2*π * 3
= 6π
≈ 18.85 units
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On Monday, 362 students went on a trip to the zoo. All 7 buses were filled and 5 students had to travel in cars. How many students were in each bus ?
Answer: There were 51 students
Step-by-step explanation: Divide 362 by 7 which equals 51 with 5 students remaining! Hope this helps!
Mary has a very large, very talented family. There are 10 total. 4 of them play instruments and 7 of them play a sport. 2 of the kids who play an instrument also play a sport. 6 of the kids are on the honor roll. Only 1 plays an instrument, a sport and is on the honor roll.
2/9 divided by 1 2/3
Answer: 2/15
Believe me I put the same thing and I got it correct.
3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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Sophie and her children went into a bakery that sells cupcakes for $3.75 each and cookies for $1.25 each. Sophie has $40 to spend and must buy at least 16 cupcakes and cookies altogether. If
�
x represents the number of cupcakes purchased and
�
y represents the number of cookies purchased, write and solve a system of inequalities graphically and determine one possible solution.
ANSWER
y = $3.75x < 40
EXPLANATION
The amount of cupcakes you buy must be less than 40 because y = 3.75(40) = $150
answer the question submitted
The function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.
To complete the square for the function g(x) = 4x² - 28x + 49, we follow these steps:
Step 1: Divide the coefficient of x by 2 and square the result.
(Coefficient of x) / 2 = -28/2 = -14
(-14)² = 196
Step 2: Add and subtract the value obtained in Step 1 inside the parentheses.
g(x) = 4x² - 28x + 49
= 4x² - 28x + 196 - 196 + 49
Step 3: Rearrange the terms and factor the perfect square trinomial.
g(x) = (4x² - 28x + 196) - 196 + 49
= 4(x² - 7x + 49) - 147
= 4(x² - 7x + 49) - 147
Step 4: Write the perfect square trinomial as the square of a binomial.
g(x) = 4(x - 7/2)² - 147
Therefore, the function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.
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The probable question may be:
Rewrite the function by completing the square.
g(x)=4x²-28x +49
g(x)= ____ (x+___ )²+____.
area of a trapezoid 6 mm 2 mm 4 mm
Answer:48 mm
Step-by-step explanation:
6 x 2 x 4= 48mm
d= c/n solve for n, I've been trying to solve this by multiplying by n but i want to solve for n so that's wrong thank you guys :D
Answer:
You started correctly....
Step-by-step explanation:
d = c/n Multiply both sides by 'n'
dn = c now divide both sides of the equation by 'd'
n = c/d Done.
I NEED HELP FAST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
\(\huge\boxed{\sf 1}\)
Step-by-step explanation:
Given expression:= \(\displaystyle (\frac{1}{4} )^0\)
Using exponent rule:
\(a^0=1\)So,
\(\displaystyle (\frac{1}{4} )^0=1\)
\(\rule[225]{225}{2}\)
unit 3: parallel & perpendicular lines homework 6: slope-intercept form & standard form determine if the equations are parallel, perpendicular, or neither y=-3x+6 and y=1/3 x-8
Answer:
Step-by-step explanation:
Eq. 1: y=-3x+6
Eq. 2: y=1/3 x-8
-----
Form: y = mx + b, where m is the slope and b the y-intercept.
Parallel lines have identical slopes. Perpendicular lines have slopes that are the negative inverse of each other.
Line Slope
1 -3
2 (1/3)
(1/3) is the negative inverse of -3, so these lines are perpendicular.
See attachment.
(1/3) is the negative inverse of -3, therefore these lines are perpendicular.
What is slope-intercept form?For two equations to be parallel, the slope has to be the same.
For two equations to be perpendicular, the product of their slopes must be equal to -1
The equation of a line is the slope-intercept form is;
y = mx + c
where m is the slope and c is the intercept.
Eq. 1: y=-3x+6
Eq. 2: y=1/3 x-8
Also Parallel lines have identical slopes. Perpendicular lines have slopes that are the negative inverse of each other.
Line Slope
1 -3
2 (1/3)
Therefore, (1/3) is the negative inverse of -3, so these lines are perpendicular. you can See the attachment.
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If you draw a card from a standard deck of 52 playing cards, what is the probability that it is a heart or a diamond?
Answer:
1/2
Step-by-step explanation:
In a deck of cards, there are 13 hearts and 13 diamonds
13+13 = 26 hearts or diamonds
P( hearts or diamonds) = numbers of hearts or diamonds / total
=26/52
= 1/2
The ratio for sin A is:
a) 8/17
b) 15/17
c) 8/15
d 15/8
PLS HELP ASAP
Select all that apply Which statements can easily be proved by a direct proof? If 5n+ 4 is even where n is an integer, then n is even. If n is odd, then n3 +1 is even. If n = (ab)2 where a and b are positive integers, then n 2 o2 and n 2 b2. If n is a perfect square where n is a positive integer, then n + 1 is not a perfect square.
The statement " If n is odd, then n³ +1 is even " can easily be proved by a direct proof
What is an integer?
A full number, not a fraction, that can be positive, negative, or zero is called an integer (pronounced IN-tuh-jer). Integer examples include: -5, 1, 5, 8
Let the first Integer be x
Since the two numbers are consecutive
therefore the second number will be x+1
If n is odd, then its cube n³ is always odd
then n³ +1 is always even
So, the option" If n is odd, then n³ +1 is even " is correct
The statement " If n is odd, then n³ +1 is even " can easily be proved by a direct proof
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Find the first four terms of the Taylor series for the function f(x) = 1/(x − 5) at a = 1
The first four terms of the Taylor series for f(x) = 1/(x - 5) at a = 1 are:
\(-1/4 - 1/16(x - 1) + 1/64(x - 1)^2 - 3/512(x - 1)^3\)
What is series?
In mathematics, a series is a sum of the terms of an infinite sequence of numbers. It is often represented by the symbol Σ (sigma) and written as an expression that adds up the terms of the sequence.
To find the Taylor series for the function f(x) = 1/(x - 5) at a = 1, we need to compute its derivatives at x = 1 and evaluate them at a = 1. We can use the formula for the Taylor series, which is given by:
\(f(x) = f(a) + f'(a)(x - a) + f''(a)(x - a)^2/2! + f'''(a)(x - a)^3/3! + ...\)
We start by finding the derivatives of f(x):
\(f(x) = 1/(x - 5)\\\\f'(x) = -1/(x - 5)^2\\\\f''(x) = 2/(x - 5)^3\\\\f'''(x) = -6/(x - 5)^4\)
Now, we can evaluate these derivatives at a = 1:
\(f(1) = 1/(1 - 5) = -1/4\\\\f'(1) = -1/(1 - 5)^2 = -1/16\\\\f''(1) = 2/(1 - 5)^3 = 1/32\\\\f'''(1) = -6/(1 - 5)^4 = -3/128\)
Substituting these values into the formula for the Taylor series, we get:
\(f(x) = -1/4 - 1/16(x - 1) + 1/64(x - 1)^2 - 3/512(x - 1)^3 + ...\)
Therefore, the first four terms of the Taylor series for f(x) = 1/(x - 5) at a = 1 are:
\(-1/4 - 1/16(x - 1) + 1/64(x - 1)^2 - 3/512(x - 1)^3\)
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Please awnser asap I will brainlist
Answer:
True
Step-by-step explanation:
The easiest way to understand this problem is to first breakdown the notation. In words, the problem is stating 9 is NOT an element of the set containing the elements 4, 1, 8, and 7. Since 4\(\neq\)9, 1\(\neq\)9, 8\(\neq\)9, and 7\(\neq\)9 then 9 is not an element of this set and the statement is true.
A 3-gallon container of disinfectant costs $36.24. What is the price per quart?
Answer:
10.74666666666667 per quart
Step-by-step explanation3 divided 36.24
Tommy the Dunker's performance on the basketball court is influenced by his state of mind: If he scores, he is twice as likely to score on the next shot as he is to miss, whereas if he misses a shot, he is five times as likely to miss the next shot as he is to score.
(a) If Tommy has missed a shot, what is the probability that he will score two shots later?
(b) In the long term, what percentage of shots are successful?
plz help me brainlest for whoever answers
Answer:
Circumference = 37.68
Area = 113.04
Step-by-step explanation:
Circumference = π × d
Circumference = 3,14 × 12 feet
Circumference = 37.68
Area = π × r²
Area = 3,14 × 6 × 6
Area = 113.04
Ms. Phillips has a class of 18 students. She can spend $22 on each student to buy math supplies for the year. She first buys all of her students calculators, which costs a total of 83.52. After buying the calculators, how much does she have left to spend on each student?
Answer:
17.36
Step-by-step explanation:
18×22=396
396–83.52=312.48
312.48÷18=17.36
Please help me! Please!
In the given situation the sample space has 16 elements and the sample space is:
1H 2H 3H 4H 5H 6H 7H 8H
1T 2T 3T 4T 5T 6T 7T 8T
What is sample space?A sample space is a set of potential results from a random experiment.
The letter "S" is used to denote the sample space.
Events are the subset of possible experiment results.
Depending on the experiment, a sample area could contain a variety of results.
There are just two possible results when we toss a coin: either head or tail.
So, S = H, T, where H is the head and T is the tail, will be the sample space.
As a result, we are aware that there will be a total of 2n outcomes available if there are 'n' coins.
So, the coin has 2 outcomes which are H and T.
And the spinner has 8 outcomes which are 1 - 8.
Then, the sample space would be as follows:
1H 2H 3H 4H 5H 6H 7H 8H
1T 2T 3T 4T 5T 6T 7T 8T
So, the sample space has a total of 16 elements.
Therefore, in the given situation the sample space has 16 elements and the sample space is:
1H 2H 3H 4H 5H 6H 7H 8H
1T 2T 3T 4T 5T 6T 7T 8T
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Will give 100 points to anyone who can find the arc measure and show work! thanks!
Answer:
2π/3 radians----------------------
Given:
Arc length (s) = 8π/3 Radius (r) = 4 kmTo find the arc measure (θ) in radians, we can use the formula:
s = rθNow, plug in the given values:
8π/3 = 4θTo solve for θ, divide both sides by 4:
(8π/3) / 4 = θSimplify the expression:
2π/3 = θSo, the arc measure (θ) is 2π/3 radians
The Cardiovascular Risk in Young Finns Study showed average baseline triglyceride levels among 920 people of 0.926 mmol/L associated with a total sum of squared deviations of approximately 160 mmol/L. If a linear regression analysis of baseline triglyceride levels on physical activity levels had an R-squared of 0.30, what are the sum of squared deviations explained by the regression model?
a. 112 mmol/L
b. Not enough information
c. 48 mmol/L
Answer:
The sum of the squared deviations explained by the regression model is:
c. 48 mmol/L
Step-by-step explanation:
Average baseline triglyceride levels among 920 people = 0.926 mmol/L
Total sum of squared deviations, approximately = 160 mmol/L
Linear regression analysis of baseline triglyceride levels on physical activity levels had an R-squared = 0.30
Therefore, the sum of the squared deviations explained by the regression model = 160 * 0.30 = 48 mmol/L