Answer:
The square root of 600 is an irrational number, so the simplification would be
√600 = 10√6
The set of numbers that includes the whole numbers and their opposites is called the set of...?
1. integers
2. real numbers
3. rational numbers
4. natural numbers
Step-by-step explanation:
option C is the answer
hope it helps
Answers
Integers
Step-by-step explanation:
I might be wrong but I wrote down the definition in Odyssey Ware let me know if it's correct.
Devi scored 66 marks for her first class test and
72 marks for her second class test. What is the
minimum mark she must score for her third class
test to meet her target of obtaining an average of
75 marks or more for the three tests?
Answer:
She must score an 87 to obtain an average of 75.
Step-by-step explanation:
(66+72+x) / 3 = 75
x = 87
first come first served brainiest
Answer:
Step-by-step explanation:
2+7+2 seems to be right which is 11
2+7+2 = 11 ft
πd
7π = 21.98
21.98/2 = 10.99
10.99+11 = 21.99 ft
The mistake was that however they may have solved what 7π was, it is a semi-circle so they have forgotten to half 7π
The local middle school has students 2924 The principal wants the students in groups of 24 for an assembly How many groups of students will there be?
Answer:
1239 it is 1239 I think I have same test
It costs $4. 50 for 25 fluid ounces of detergent Brand A. It costs $13. 50 for 90 fluid ounces of detergent Brand B. What is the difference between the unit rates of the two detergents?
The difference between the unit rates of the two detergents is -$0.03 per fluid ounce, indicating that Brand B is cheaper than Brand A.
The unit rate of a product is the cost per unit or the price for one unit of the product. To find the unit rates for detergents Brand A and Brand B, we need to divide the cost by the number of fluid ounces.
For detergent Brand A:
Cost = $4.50
Fluid ounces = 25
To find the unit rate, we divide the cost by the number of fluid ounces:
Unit rate for Brand A = Cost/Fluid ounces
Unit rate for Brand A = $4.50/25
Simplifying the division gives us:
Unit rate for Brand A = $0.18 per fluid ounce
For detergent Brand B:
Cost = $13.50
Fluid ounces = 90
Again, we divide the cost by the number of fluid ounces to find the unit rate:
Unit rate for Brand B = Cost/Fluid ounces
Unit rate for Brand B = $13.50/90
Simplifying the division gives us:
Unit rate for Brand B = $0.15 per fluid ounce
To find the difference between the unit rates of the two detergents, we subtract the unit rate of Brand A from the unit rate of Brand B:
Difference in unit rates = Unit rate for Brand B - Unit rate for Brand A
Difference in unit rates = $0.15 - $0.18
Simplifying the subtraction gives us:
Difference in unit rates = -$0.03 per fluid ounce
Therefore, the difference in unit rates between the two detergents is -$0.03 per fluid ounce. This means that detergent Brand B is $0.03 cheaper per fluid ounce compared to detergent Brand A.
In summary, the difference between the unit rates of the two detergents is -$0.03 per fluid ounce, indicating that Brand B is cheaper than Brand A.
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HELPP I GIVE BRAINLESTT RN I NEED THIS IN 5 MINUTESSS RNNNN
thirty-seven point five percent and three per eight
Pilar is playing with a motorized toy boat. She puts the boat in a lake and it travels 400m at a constant speed. On the way back to Pilar, the boat travels the same route at the same speed for 2 minutes, and then Pilar uses the remote control to increase the boat's speed by 10 m/min. So the return trip is 60 seconds faster. How long does the return trip take?
Answer:
The trip normally takes 8 minutes
Step-by-step explanation:
The given information states that the away distance the boat traveled = 400 m
The time traveled at the same initial speed , v₁, by the boat on the way back = 2 minutes
The increase in speed of the boat by Pilar = 10 m/min
The new speed, v₂ = v₁ + 10
The time for the return trip, t₂ = 60 seconds (1 minute) faster than time for the trip, t₁
t₂ = t₁ - 1
Therefore we have;
v₁ × t₁ = v₁×2 + v₂×(t₂-2) = 400
v₁×2 + (v₁ + 10)×(t₂-2) = 400
(v₁ + 10)×t₂ - 20 = 400
But v₁ = 400/t₁ = 400/(t₂ + 1)
Which gives;
(400/(t₂ + 1) + 10)×t₂ - 20 = 400
10×(t₂²+ 36·t₂-2)/(t₂+1) = 400
10·t₂²+ 10·t₂-420 = 0
t₂²+ t₂-42 = 0
(t₂ - 7)(t₂ + 6) = 0
t₂ = 7 minutes or -6 minutes
Given that t₂ is a natural number, we have, t₂ = 7 minutes
Whereby, t₂ = t₁ - 1, we have;
7 = t₁ - 1
t₁ = 1 + 7 = 8 Minutes
The trip normally takes 8 minutes
Answer:
actually, it is 7
Step-by-step explanation:
the previous guy's explanation was all correct, but the question is asking for the return trip, which is one minute less, so the answer is 7. Hope this helped, also, i go to rsm as well and i got this one correct
T/F one or two extreme data points can have a dramatic effect on the size of a correlation.
Correlation measures the degree of association between two variables and outliers can distort the relationship between them.
Is the statement True or False?True. One or two extreme data points, also called outliers, can have a dramatic effect on the size of a correlation. This is because correlation measures the degree of association between two variables and outliers can distort the relationship between them.
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equation of a circle with center at the origin and radius 10
The equation of a circle with the center at the origin and radius 10 can be determined by using the standard form of the equation of a circle, which is given by the equation x² + y² = r², where (x, y) are the coordinates of any point on the circle, and r is the radius of the circle. If the center of the circle is at the origin,
then the coordinates of the center are (0, 0), and the equation can be written as x² + y² = 10². This equation represents a circle with center at the origin and radius 10. This equation can be used to graph the circle by plotting the points that satisfy the equation.
The circle will be a perfect circle with a radius of 10 units and centered at the origin. It will pass through the points (-10, 0), (0, -10), (10, 0), and (0, 10). These points can be found by solving the equation for x and y. When x = -10, 0, and 10, y will be equal to 0, and when y = -10, 0, and 10, x will be equal to 0. This is how the circle can be graphed using the equation.
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write as a single power using the laws of exponents
step by step please
help with my homework
Step-by-step explanation:
Piece by piece :
Numerator 5^3 X 5^4 = 5 ^(3+4) = 5^7
Denominator 5^2 X 5^1 = 5^(2+1) = 5^3
so now you have:
5^7 / 5^3 this equals 5 ^(7-3) = 5^4
then (5^4 )^3 = 5^(4x3) = 5 ^12
If you are given the graph of h(x) = log6x, how could you graph M(x) = log6(x+3)?
Answer:
Translate 3 units to the left
Step-by-step explanation:
Someone know the answer for these things???
Answer:
0.782 in decimal form or 7 square root of
Step-by-step explanation:
5 over 20
The position of a particle moving along the x-axis is given by s(t)= 10t^2+17. Use difference quotients to find the velocity, v(t), and the acceleration, a(t). v(t)=_____________ , a(t)= ___________
The acceleration function is a(t) = 20.
v(t) = 20t (velocity function)
a(t) = 20 (acceleration function)
To find the velocity and acceleration, we need to differentiate the position function with respect to time.
The position function is given by \(s(t) = 10t^2 + 17.\)
To find the velocity function, we differentiate s(t) with respect to t:
v(t) = s'(t) = d/dt (10t^2 + 17).
Using the power rule of differentiation, the derivative of\(t^n is n*t^(n-1),\)where n is a constant, we can differentiate each term:
v(t) = 20t.
Therefore, the velocity function is v(t) = 20t.
To find the acceleration function, we differentiate v(t) with respect to t:
a(t) = v'(t) = d/dt (20t).
Using the power rule of differentiation, the derivative of \(t^n is n*t^(n-1),\)where n is a constant, we can differentiate the term:
a(t) = 20.
Therefore, the acceleration function is a(t) = 20.
v(t) = 20t (velocity function)
a(t) = 20 (acceleration function)
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help?????Miranda and Rory are multiplying 413
by different fractions. The table shows their work.
Rory's product is____
Mirandas because Rory is multiplying by a factor ______.
Rory's product is less than Maranda's because 13/9 is less than 13/3
Describe Fraction?In mathematics, a fraction represents a part of a whole. A fraction consists of two numbers separated by a horizontal line called a fraction bar or a division sign. The number above the bar is called the numerator, and the number below the bar is called the denominator.
The numerator represents the number of parts being considered, while the denominator represents the total number of parts in the whole. For example, in the fraction 3/4, 3 is the numerator and 4 is the denominator. This fraction represents three parts out of a total of four equal parts.
Fractions can be written in different forms, such as proper fractions, improper fractions, and mixed numbers.
A proper fraction has a smaller numerator than the denominator, such as 2/3 or 5/8.
An improper fraction has a numerator that is equal to or greater than the denominator, such as 7/4 or 11/6.
A mixed number consists of a whole number and a proper fraction, such as 2 1/3 or 3 2/5.
Fractions are used in many real-life situations, such as cooking, measuring, and financial calculations. They are also an essential part of mathematics and are used in operations such as addition, subtraction, multiplication, and division.
From the table, it appears that Maranda multiplied 4 1/3 by 4 1/3 and then by 1/3, while Rory multiplied 4 1/3 by 1/3 and then by 4 1/3.
Multiplying by 1/3 first reduces the overall size of the number being multiplied, resulting in a smaller product. This is what Rory did, which is why their product is less than Maranda's.
On the other hand, Maranda multiplied by the larger numbers first and then by the smaller fraction, resulting in a larger overall product.
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The complete question is:
Maranda and rory are multiplying 4 1/3 by different fractions the table shows there work
maranda / rory why is rory's product less than maranda's
4 1/3 x 4 1/3 x 1/3
3/3 =4 1/3 1 4/9
Math question the it’s below it contains Data, M.A.D etc please if u can help me help me I’m suffering rn
The mean absolute deviation for the data-set in this problem is given as follows:
C. 3 and 5/9.
How to obtain the mean absolute deviation of the data-set?The dot plot shows the number of times that each observations appears in the data-set.
Considering the dot plot, the mean of the data-set is given as follows:
Mean = (2 x 2 + 1 x 3 + 1 x 5 + 1 x 9 + 3 x 10 + 1 x 12)/(2 + 1 + 1 + 1 + 3 + 1)
Mean = 7.
The sum of the deviations is given as follows:
2 x |2 - 7| = 10.1 x |3 - 7| = 4.1 x |5 - 7| = 2.1 x |9 - 7| = 2.3 x |10 - 7| = 9.1 x |12 - 7| = 5.Hence the mean absolute deviation in this problem is given as follows:
MAD = (10 + 4 + 2 + 2 + 9 + 5)/(2 + 1 + 1 + 1 + 3 + 1)
MAD = 3.55.
Hence option C is the correct option for this problem.
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Diego was trying to write 2^3 · 2^2 with a single exponent and wrote 2^3·2^2 = 2^3*2 = 2^6 . Explain to Diego what his mistake was and what the answer should be.
Answer:
2^3·2^2 = 2^3+2 = 2^5
Step-by-step explanation:
Diego was trying to write 2^3 · 2^2
He wrote 2^3·2^2 = 2^3*2 = 2^6
But this is wrong because when bases are same exponents are added.
This is the law of exponents.
The correct form would be
2^3·2^2 = 2^3+2 = 2^5
For understanding it better we can write it like this
2^3·2^2 =
There are 3 two and 2 twos .When totaled there are 5 two not 6 twos.
Pls i need help with my math
Find the value of each symbol in the multiplication table below:
Answer:
Step-by-step explanation:
Chili = 3
lime = 1
salt = 9
avocado = 6
guacamole = 18
Solve for nnn.
7n-4 = 317n−4=317, n, minus, 4, equals, 31
n =n=n, equals
The value of the variable, n is 5
What is an algebraic expression?An algebraic expression can simply be defined as an expression that is composed of variables, coefficients, factors, constants and terms.
These mathematical expression called algebraic expressions are also composed of arithmetic operations, such as;
BracketMultiplicationAdditionParenthesesDivisionSubtractionExamples of algebraic expressions are;
2x + 18
2x² + 4
3y + 6
From the information given, we have that;
7n - 4 = 31
collect like terms
7n = 31 + 4
Add like terms
7n = 35
Make 'n' the subject of formula
n = 35/7
n = 5
Thus, the value is 5
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10. In the diagram of collinear points, GK=24, HJ=10, and GH=HI=IJ. Find each length.
Please show all work and not just answers.
Answer:
GH=5
HI=5
IJ=5
JK=9
Step-by-step explanation:
GK=24
HJ=10
GH=HI=IJ.
Let GH, HI, IJ be x
therefore,
HI+IJ=10
=>x+x=10
=>2x=10
=>x=10/2
=>x=5
HI=IJ=GH=5
GH+HI+IJ+JK=GK
=>5+5+5+JK=24
=>15+JK=24
=>JK=24-15
JK=9
what does -5 divided by 5 over 7 equal.
Answer:
\(\frac{-5}{\frac{5}{7} } \\\\\\\) ( -5 divided by 5 over 7 equal)
the answer is -7
Step-by-step explanation:
Multiply.
7×2/5
Enter your answer as a mixed number in simplest form
Answer: 2/5
Step-by-step explanation: if this is right can i pls get brainliest answer
At which values in the interval [0, 2π) will the functions f (x) = 2cos2θ and g(x) = −1 − 4cos θ − 2cos2θ intersect?
a: theta equals pi over 3 comma 4 times pi over 3
b: theta equals pi over 3 comma 5 times pi over 3
c: theta equals 2 times pi over 3 comma 4 times pi over 3
d: theta equals 2 times pi over 3 comma 5 times pi over 3
The values in the interval [0, 2π) for which the two points would intersect as required is; Choice C; theta equals 2 times pi over 3 comma 4 times pi over 3.
What values of θ make the two functions intersect?Recall from the task content; the given functions are;
f (x) = 2cos2θ and g(x) = −1 − 4cos θ − 2cos2θ
Therefore, for intersection; f (θ) and g(θ):
2 cos²θ = −1 − 4cos θ − 2cos²θ
4cos²θ + 4cosθ + 1 = 0
let cos θ = y;
4y² + 4y + 1 = 0
y = -1/2
Therefore; -1/2 = cos θ
θ = cos-¹ (-1/2)
θ = 2π/3, 4π/3.
Ultimately, the correct answer choice is; Choice C; theta equals 2 times pi over 3 comma 4 times pi over 3.
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What is the side length of one side of the pentagon?
125000 to 117500 what is the percent decrease?
Answer: It is a 6 percent decrease
Step-by-step explanation:
125,000-117,500=7,500
(125,000)(0.06)=7,500
96 cups = ______quarts
11.35 kilograms = ________pounds
Answer:
96 cups= 24 quarts
11.35 kilograms= 25.0224668 pounds
Solve the equation A
B
=
B
C
AB=BC for A
A, assuming that A
,
B
A,B and C
C are square matrices and B
B is invertible.
We have solved the equation AB=BC for A, assuming that A, B, and C are square matrices and B is invertible, then the solution is A=C B⁻¹.
First, let's take a look at the equation AB=BC. This is an equation that involves matrices, which are essentially rectangular arrays of numbers. In this case, we have three matrices: A, B, and C. The equation tells us that the product of A and B is equal to the product of B and C.
Now, we want to solve this equation for A. This means that we want to isolate A on one side of the equation and have everything else on the other side. To do this, we can use matrix algebra.
One property of matrices is that we can multiply both sides of an equation by the inverse of a matrix without changing the solution. Since we know that B is invertible, we can multiply both sides of the equation by B⁻¹, the inverse of B:
AB B⁻¹ = BC B⁻¹
Now, we can simplify the left side of the equation, because B times its inverse gives us the identity matrix I:
A I = C B⁻¹
Again, we can simplify the left side of the equation, because anything multiplied by the identity matrix stays the same:
A = C B⁻¹
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if there are 10 family practice physicians at center clinic and 2 pediatricians, what is the ratio of family practice physicians to pediatricians? how might this ratio be used by the clinic administrator?
The ratio of family practice physicians to pediatricians is 5:1.
The ratio of family practice physicians to pediatricians can be found by dividing the number of family practice physicians by the number of pediatricians:
Ratio = Number of family practice physicians / Number of pediatricians
Ratio = 10 / 2
Ratio = 5
Therefore, the ratio of family practice physicians to pediatricians is 5:1.
The clinic administrator can use this ratio to assess the balance of the clinic's medical staff. If the ratio is not ideal, the administrator may need to take steps to hire more pediatricians or family practice physicians to better meet the needs of the clinic's patients.
Additionally, the ratio can be used to allocate resources, such as staff time and medical equipment, more effectively based on the patient population the clinic serves.
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resolve the following into partial fraction using the repeated and non repeated factors
1) The partial fraction decomposition of (x² + 2x + 1) / (x²(x + 3)²) is 1/(18x) + 1/(18x²) + 1/(18(x + 3)) + 1/(18(x + 3)²). 2) The partial fraction decomposition of (1 - x) / ((x² - 3x + 2)(x² + 4)) is A/(x - 1) + B/(x - 2) + (Cx + D)/(x² + 4).
How to Solve Partial Fractions?1. To resolve (x² + 2x + 1) / (x²(x + 3)²) into partial fractions, we start by factoring the denominator.
The denominator can be factored as x²(x + 3)².
Now, let's express the fraction as:
(x² + 2x + 1) / (x²(x + 3)²) = A/x + B/x² + C/(x + 3) + D/(x + 3)²
To find the values of A, B, C, and D, we can multiply both sides of the equation by the common denominator (x²(x + 3)²):
x² + 2x + 1 = A(x + 3)² + B(x + 3)(x + 3) + C(x²)(x + 3) + D(x²)
x² + 2x + 1 = A(x² + 6x + 9) + B(x² + 6x + 9) + C(x³ + 3x²) + D(x²)
Now, equating the coefficients of the like terms on both sides:
For the term x² on the left side, we have: 1 = A + B + C + D.
For the term x on the left side, we have: 2 = 6A + 6B + 3C.
For the constant term on the left side, we have: 1 = 9A + 9B.
For the term x³ on the left side, we have: 0 = C.
Solving this system of equations, we find:
C = 0,
A + B + D = 1/9, and
6A + 6B = 2/3.
Solving further, we get:
A = 1/18,
B = 1/18, and
D = 1/18.
Therefore, the partial fraction decomposition of (x² + 2x + 1) / (x²(x + 3)²) is: (x² + 2x + 1) / (x²(x + 3)²) = 1/(18x) + 1/(18x²) + 1/(18(x + 3)) + 1/(18(x + 3)²).
2. To resolve the fraction (1 - x) / ((x² - 3x + 2)(x² + 4)) into partial fractions, we first factor the denominator as (x - 1)(x - 2)(x² + 4).
The partial fraction decomposition is expressed as A/(x - 1) + B/(x - 2) + (Cx + D)/(x² + 4), where A, B, C, and D are constants to be determined.
To find the values of A, B, C, and D, we multiply both sides of the equation by the common denominator (x - 1)(x - 2)(x² + 4) and simplify.
The equation becomes 1 - x = A(x - 2)(x² + 4) + B(x - 1)(x² + 4) + (Cx + D)(x - 1)(x - 2).
Expanding and simplifying the right side, we get 1 - x = (A + B)(x³ - 3x² - 6x + 8) + (Cx + D)(x² - 3x + 2).
By equating the coefficients of the like terms on both sides, we can solve for A, B, C, and D.
Solving the system of equations, we find A = 2/3, B = -1/3, C = -1/5, and D = 3/5.
Therefore, the partial fraction decomposition of (1 - x) / ((x² - 3x + 2)(x² + 4)) is (2/3)/(x - 1) + (-1/3)/(x - 2) + (-1/5)(x + 4)/(x² + 4).
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Kelli has a bank balance of 16 dollars. Chad has a bank balance
of -54 dollars. Select three statements that are true about this
situation.
The opposite of Kelli's balance is negative.
The opposite of O is greater than Chad's balance.
The opposite of Chad's balance is negative.
The opposite of Chad's balance is greater than Kelli's
balance.
The opposite of Kelli's balance is greater than the opposite
of Chad's balance.
Answer:
The opposite of Kelli's balance is negative, the opposite of Chad's balance is greater than Kelli's, and the opposite of Kelli's balance is greater than the opposite of Chad's balance.
Step-by-step explanation:
Answer:
The opposite of Kelli's balance is negative, the opposite of Chad's balance is greater than Kelli's, and the opposite of Kelli's balance is greater than the opposite of Chad's balance.
Step-by-step explanation:
Select the pair(s) of ratios that form a proportion.
3 15
11 ' 33
42 7
183
14 9
36 5
22 33
6 9
Answer:
no more cuss words guys
Step-by-step explanation: