A square tile has a side length of 12 cm. What is the area of the tile?
48 square centimeters
72 square centimeters
24 square centimeters
144 square centimeters
Answer:
144 cm²
Step-by-step explanation:
Remember: If you are finding the area of a square and are given a side, you can simply square it and it will be the area. Thus:
12 x 12 cm = Area of tile.
=> 144 cm² = Area of tile.
Therefore, 144 cm² is the area.
Hoped this helped.
answer the below questions with full steps
The approximate reciprocal of 0.72 is 1.3889.
The ✓1.7 depicted as a fraction is (√170)/10.
How to explain the valueIt should be noted that to calculate the reciprocal of 0.72, we simply divide 1 by 0.72:
1/0.72 = 1.388888888888889
Thus, the approximate reciprocal of 0.72 is 1.3889.
Also, to determine the fractional equivalent for √1.7, we may again rationalize the denominator through multiplying both numerator and denominator with the expression contained beneath the radical:
√1.7=√(17/10)=(√17)/(√10)
Multiplying every entity within the adjoined numerator and denominator with (√10) offers:
(√17)/(√10)*(√10)/(√10)= (√170)/10
Therefore, √1.7 depicted as a fraction is:
√1.7=(√170)/10
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How many non-congruent squares can be drawn, such that their vertices are lattice points on the 5 by 5 grid of lattice points shown
9 non-congruent squares can be drawn.
What is non-congruent squares?Non-congruent squares are two squares with different side lengths. These two squares can be drawn separately and still have four right angles and four equal sides, but the lengths of the sides are not the same. Non-congruent squares are a type of quadrilateral and have both diagonals and parallel sides. These shapes can be used to create a variety of geometric designs and patterns, and often appear in art and architecture.
Each of the four corners of the 5 by 5 grid can be the vertices of a square, and the middle of each side of the 5 by 5 grid can be the vertices of a square. This makes eight non-congruent squares in total. Additionally, the center point can be the vertex of another non-congruent square, making nine in total. All of these squares are constructed from lattice points, and none of them are congruent to each other.
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1) Tom had 47 portugals which he shared with his 2 friends Ryan and Neil. He gave Neil 3 less than Ryan and kept 5 more than Ryan. Calculate how many portugals Tom kept for himself.
Answer:
if im correct i think 37 try it
Step-by-step explanation:
Answer:
Tom kept 20 portugals for himself.
Step-by-step explanation:
Let "n" be the number of portugals Tom kept for himself, then...
# of portugals which he gave to Ryan = n - 5
# of portugals which he gave to Neil = Ryan's portugals - 3 = (n - 5) - 3 = n - 8
Now, we know that...
Tom's portugals + Ryan's portugals + Neil's portugals = 47
Now substatute the values and get...
n + (n - 5) + (n - 8) = 47
n + n - 5 + n - 8 = 47
3n - 13 = 47
3n = 47 + 13
3n = 60
n = 20
Therefore Tom kept 20 portugals for himself.
the Marked price of the watch is rupees 6000 if 10% is given as discount how much does a customer has to pay
Answer:
5400
Step-by-step explanation:
10% of 6000 is 600 meaning you're left with 5400 to pay.
There are 4 parts to answer in this question:
Question: Find the maximum and minimum values of the function f(x,y)=2x2+3y2−4x−5 on the domain x2+y2≤169.
a] The maximum value of f(x,y) is: [_________________]
b] List the point(s) where the function attains its maximum as an ordered pair, such as (-6,3), or a list of ordered pairs if there is more than one point, such as (1,3), (-4,7).
Points: [_____________________]
c] The minimum value of f(x,y) is: [__________________]
d] List points where the function attains its minimum as an ordered pair, such as (-6,3), or a list of ordered pairs if there is more than one point, such as (1,3), (-4,7).
Points: [_____________________]
Answer:
Sure, here are the answers to your questions:
a. The maximum value of f(x,y) is 674.
b. The point(s) where the function attains its maximum are (-6,3) and (6,3).
c. The minimum value of f(x,y) is -5.
d. The point(s) where the function attains its minimum are (0,0) and (-3,-1).
Here are the steps on how I got the answers:
First, we need to find the critical points of the function. This can be done by finding the points where the gradient is equal to zero.
The gradient of f(x,y) is given by the following vector:
∇f(x,y) = (4x - 4, 6y)
Setting this vector equal to zero, we get the following system of equations:
4x - 4 = 0
6y = 0
Solving this system of equations, we get the following critical points:
(-6,3)
(6,3)
Next, we need to evaluate the function at each critical point and at the boundary points of the domain.
The boundary points of the domain are given by the following points:
(-13,0)
(13,0)
(0,-13)
(0,13)
Evaluating the function at each of these points, we get the following values:
f(-13,0) = -674
f(13,0) = -674
f(0,-13) = -674
f(0,13) = -674
f(-6,3) = 674
f(6,3) = 674
f(0,0) = -5
f(-3,-1) = -5
Finally, we need to compare the values of the function at the critical points and at the boundary points to find the maximum and minimum values.
The maximum value of the function is 674, which is attained at the points (-6,3) and (6,3).
The minimum value of the function is -5, which is attained at the points (0,0) and (-3,-1)
Step-by-step explanation:
Nancy just became a personal trainer and is finalizing her pricing plans. One plan is to charge $41 for the initial consultation and then $83 per session. Another plan is to charge $43 for the consultation and $82 pse session. Nancy realizes that the two plans have the same same cost for a certain number of sessions. How many sessions is that? What is the cost?
The required number of sessions is obtained as 2.
How to balance a linear equation?A linear equation can be balanced by adding or subtracting the same number on both sides of the equality sign. Similarly, multiplication and division is also possible with the same numbers.
Suppose the number of sessions be x.
Then, the expression for the training cost as per the first plan is given as 41 + 83x.
And, for the another plan it is 43x + 82.
As per the question both the expressions has to be equated for the same cost as follows,
43 + 82x = 41 + 83x
=> 43 - 41 = 83x - 82x
=> x = 2
Hence, the number of sessions for both the plans to have same cost is 2.
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difference between compounded annually, monthly and daily.
Answer:
With monthly compounding, the bank will calculate interest on your account just once per month. It will not update your balance on a daily basis when it calculates how much interest it owes you. Assuming that the APR is the same, accounts with monthly compounding offer a lower APY than accounts with daily compounding.
A survey found the following number of children in various neighborhoods around town. {3, 49, 16, 70, 21, 0, 7, 123} What is the mean absolute deviation for these numbers? Round to the hundredths place (two digits after the decimal). MAD =
PLEASE HELP ASAP
Simplify the following expression:
a + 2c − 5b − c + a − b
Question options:
2a − 6b + 2c
2a − 6b + c
a − 6b + c
a − 5b + 2c
Answer:
the second option 2a-6b+c
Answer:
2a - 6b + c
Step-by-step explanation:
(a+a)(-5b-b)(2c-c)
2a-6b+c
Subtract the following rational numbers. Be sure that your answer is in
the simplest form.
-7/8- (-8/3)
Answer:
1 19/24 or 1.791666667
Step-by-step explanation:
-7/8 - (-8/3)
open bracket
-7/8 + 8/3
LCM of 8&3 = 24
-21 + 64
-------------
24
= -21 + 64 = 43
43/24
= 1 19/24 or 1.791666667
What is the distance between PQ? Explain. Best explanation gets brainliest
The length of the line segment is given by the distance equation
D = 7.2 units
What is the distance of a line between 2 points?The distance of a line between 2 points is always positive and given by the formula
Let the first point be A ( x₁ , y₁ ) and the second point be B ( x₂ , y₂ )
The distance between A and B is D , and the distance D is
Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²
Given data ,
Let the distance of the line segment between two points be D
Now , the equation will be
Let the first point be represented as P ( 1 , 6 )
Let the second point be represented as Q ( 7 , 2 )
Now , distance between P and Q is D , and the distance D is
Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²
D = √ ( 1 - 7 )² + ( 6 - 2 )²
On simplifying the equation , we get
D = √ ( -6 )² + ( 4 )²
D = √ ( 36 + 16 )
D = √ 52
D = 7.2 units
Hence , the distance is 7.2 units
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7 1/2 divided by 3/4 ?
= 5
= 4
= 7
= 10
Answer:
10
Step-by-step explanation:
Hans opens a circular window that is 3.5 feet across at its widest point. What is the circumference of the window to the nearest whole number? Use 3.14 for π. help pls
Answer: 11
Step-by-step explanation:
i did 3.5 x 3.14 = 10.99 and rounded to the nearest whole number, 11.
The circumference of the circular window to the nearest whole number is 11 feet.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2pir.
The area of a circle is pir^2.
We have,
To find the circumference of the circular window, we need to use the formula:
C = πd
where C is the circumference, π is the constant pi, and d is the diameter of the circle.
Since the window is 3.5 feet across at its widest point, the diameter of the circle is also 3.5 feet.
Plugging in the value of the diameter in the formula, we get:
C = πd
C = 3.14 x 3.5
C = 10.99
Rounding the result to the nearest whole number, we get:
C ≈ 11 feet
Therefore,
The circumference of the circular window to the nearest whole number is 11 feet.
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it takes 5 men 35 minutes to peel a quantity of potatoes . How long will it take 3 men to peel the same quantity?
Answer:
175/3 minutes
Step-by-step explanation:
Assume that each man peel potatoes at the same rate
The time required
= 5 x 35 / 3
= 175/3 minutes
In the right angled triangle, which trigonometric ratio is equal to 4/8
Answer:
sin A or cos C
Step-by-step explanation:
Assuming that the length of BC is 4cm (it looks like a 6, sort of):
Looking at Angle A, the side labeled 4 is OPPOSITE angle A, and AC is the hypotenuse. The trig ratio that involves the opposite side and the hypotenuse is sine.
sin A = (opposite) / (hypotenuse) = 4 / 8.
Looking at angle C, the side labeled 4 is ADJACENT ("next to") angle C. The trig ratio involving the adjacent side and the hypotenuse is cosine.
cos C = (adjacent) / (hypotenuse) = 4 / 8.
James and his sister save money for a trip to the water park. James has saved half the amount of money that his sister has saved. If they both have $30 more, James will have saved 3/4 as much as his sister. Which equation can you use to find how much James has saved.
James was able to save $15 by dividing $30 by 2. James and money equal 3/4 (money with sister) x/2 + 30 = 3/4 (x + 30) in the equation.
what is equation ?The statistic is said to be in its simplest form when cut into its smallest equivalent fraction. What to do to find the most basic form. Look for common factors in the denominator. Examine a fractional integer to verify if it qualifies as a real number. A statement having two equal sides and an equal sign in the middle is called an equation in algebra. The general form of almost any equation contains the quantities of all the variables in descending order. The conventional form of an equation is an x + b = 0. The general form of a linear equation with two variables is an x + b y + c = 0. (or something similar). Equations can be categorized as identities or conditioned equations. An identity holds true regardless of the value given to the variables.
given
Sister's money saved should equal x.
James has saved only half as much money as his sister.
James saved x/2 in money.
They both saved a total of x + x/2 dollars.
If they each save thirty more
Then
sisters' money = x + 30
cash with James = x/2 + 30
Given that James will have saved half as much as her sister if they both save 30 more
thus,
James and money equals 3/4 (money with sister)
x/2 + 30 =3/4( x + 30 )
=> 4(x+30*2) /2 = 3x+90
=> 2x + 120 = 3x + 90
=> 3x-2x = 120-90
=> x = 30
James was able to save $15 by dividing $30 by 2. James and money equal 3/4 (money with sister) x/2 + 30 = 3/4 (x + 30) in the equation.
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How many different 9-letter strings can be made by rearranging the characters in the word "WISCONSIN"? 96 O9!/8 O C(9,6) 9!
9!
---------------
2! x 2! x 2!
0.08 is 30%?TrueFalse
A number can be expressed in percent form or in decimal form.
For example, 0.3
pleassse help!!!!!
find m1 and m2
Answer: The first angle is 58 degrees, and the second angle is 122 degrees
Step-by-step explanation: The first angle is the same on top, and the second one, just do 180 - 58 to get the answer, you can also do this on all of the ones where you see a number on the other side, 180 - the # one the side, equals to the answer that you need.
STEM AND LEAF
What is the median number of minutes students read?
excluding people, from a study, who have already died from the exposure, such as for a population representative sample of survivors, is an example of:
The correct option is option C .
that is, theexcluding people, from a study, who have already died from the exposure, such as for a population representative sample of survivors is an exmple of collider bias.
Collider Bias :
Informed decision-making in medicine and public health is based on valid evidence from clinical and epidemiological studies.
Collider bias occurs when exposure and outcome each influence a common third variable, and that variable or collider is controlled in the study design or analysis. Collider bias can make associations seem real when there is no true causal relationship in the general population. Collider bias can also dilute or obscure the true underlying causality.
Excluding a group of people relevant to the study from the study is just an example of conflict biasor collider bias . This question excludes the deceased from the sample of survivors, so it is also excluded from the study.
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Complete question:
excluding people, from a study, who have already died from the exposure, such as for a population representative sample of survivors, is an example of:
a) confunding
b) misclassfication
c) collider bias
d) none of these
Are these terms alike or unlike: 2xy and 2xyz
Answer:
Unlike
Step-by-step explanation:
When it comes to like terms, the numbers must have the same ending variable, 2xy and 2xyz do not have the same ending variable, which seeing it, one ends with 2xy and the other with 2xyz. Therefore these terms are not the same and the answer is unlike.
Answer:
unlike
Step-by-step explanation:
this is bc 2xy does have a z while 2xyz does
please help brainliset, thanks, and five star
Answer:
15x+30y-220
Step-by-step explanation:
\(30(\frac{1}{2}x-2)+40(\frac{3}{4} x-4 )\\\\(15x-60)+(30x-160)\\\\15x+30y-220\)
suppose you are asked to guess a number between 1 and 15 (inclusive), and after each guess you are told whether it is higher or lower. what is the minimum number of guesses required to guarantee that you know the number?
3 is the minimum number of guesses required to guarantee that you know the number.
If we use a binary search approach, we can guess the number in a minimum number of steps.
First, we guess the middle number, which is 8. If the answer is higher, we can eliminate all the numbers from 1 to 8, because they are lower than the answer.
Then we guess the middle number of the remaining numbers, which is 12. If the answer is lower, we can eliminate all the numbers from 12 to 15, because they are higher than the answer.
We have now eliminated half of the remaining numbers, and we are left with 6 and 7. We can guess either of these numbers, and we will know the answer with a total of three guesses.
Therefore, we can guarantee that we know the number in three guesses using this binary search approach.
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13. On a snow day, the temperature at 8 AM was 2°F. Later in the day the temperature rose 6º. What was the resulting temperature?
The resulting temperature was 8°F.
Automobile license plates for a state consist of four letters followed by a dash and two single digits. How many different license plate combinations are possible if exactly one letter is repeated exactly once, but digits cannot be repeated
The number of different license plate combinations that are possible if exactly one letter is repeated exactly once, but digits cannot be repeated is 8,424,000.
What is combination?A combination is just a mathematical technique for determining the number of potential arrangements in a set of objects where the order of a selection is irrelevant.
You can choose the components in any order in combinations. Permutations and combinations are often mistaken.
Now according to the question,
Possible letter combinations
Choose any letter and make it a repeat letter = 26 ways
But, there are ⁴C₂ = 6 spots available for the identical letters.
And there are (25)×(24) other methods for selecting the other two letters.
The total amount of "words" equals ⁴C₂ × 26 × 25 × 24 = 93600.
Furthermore, because the numerals cannot be repeated = 10 × 9 = 90
So, the total number of choices = 93600 × 90 = 8,424,000
Therefore, the total combinations in which the letters can be chosen for the license plates is 8,424,000.
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1/4 x 2 2/7 using distributive property
Using distributive property, the given expression simplified as 4/7.
What is the distributive property?The distributive property states that an expression which is given in form of A (B + C) can be solved as A × (B + C) = AB + AC.
Given that, 1/4(2+2/7)
Using the distributive property, we get
1/4 ×2 +1/4 ×2/7
= 1/2 +1/14
= 7/14+1/14
= 8/14
= 4/7
Therefore, using distributive property, the given expression simplified as 4/7.
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how do I figure this out
Answer:
\(27^{\frac{1}{3}} \quad 125^{\frac{2}{3}} \quad 9^{\frac{3}{2}}\)
Step-by-step explanation:
Rewrite 9 as 3²:
\(\implies 9^{\frac{3}{2}}=\left(3^2\right)^{\frac{3}{2}}\)
\(\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:\)
\(\implies 3^{(2 \cdot \frac{3}{2})}=3^3\)
Therefore:
\(\implies 3^3= 3 \cdot 3 \cdot 3=27\)
---------------------------------------------------------
Rewrite 27 as 3³:
\(\implies 27^{\frac{1}{3}}=\left(3^3\right)^{\frac{1}{3}}\)
\(\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:\)
\(\implies 3^{(3 \cdot \frac{1}{3})}=3^1\)
Therefore:
\(\implies 3^1=3\)
---------------------------------------------------------
Rewrite 125 as 5³:
\(\implies 125^{\frac{2}{3}}=\left(5^3\right)^{\frac{2}{3}}\)
\(\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:\)
\(\implies 5^{(3 \cdot \frac{2}{3})}=5^2\)
Therefore:
\(\implies 5^2=5 \cdot 5=25\)
---------------------------------------------------------
Solution
In order, from smallest to largest:
\(27^{\frac{1}{3}} \quad 125^{\frac{2}{3}} \quad 9^{\frac{3}{2}}\)
What is monomial representations and symmetric presentations?
Answer: A monomial representation is a way to express a polynomial as a product of powers of its variables, where each power is a non-negative integer. For example, the polynomial 2x^3 + 4x^2 - 6x + 8 can be represented as a monomial representation of (2x^3)(x^2)(-6x)(8).
Symmetric polynomials are polynomials that are invariant under permutation of their variables. A symmetric presentation is a way of expressing a symmetric polynomial as a sum of elementary symmetric polynomials, which are defined as the sum of all possible products of variables taken i at a time, where i ranges from 1 to the number of variables. For example, the symmetric polynomial x^3 + y^3 + z^3 can be expressed as a symmetric presentation of x + y + z.
Step-by-step explanation: