Answer: Pretty sure it's A
Step-by-step explanation: If you find the square root of 282 you get 16.7
Answer:
It is A
Step-by-step explanation:
It is A because you need to take the square roots of every number the square root of 282 is 16.7985562
I don’t understand how I’m supposed to do this problem I know it’s three times X but I got to figure out what X is this
We need to solve the following equation:
\(3x+9=-36\)Solving an equation is the same as finding the value of x.
In order to do so, we need to apply a sequence of the same operations on both sides of the equation, until we isolate the variable x on the left side of the equation, and find its value.
First, let's isolate 3x on the left side. We need to subtract 9 from both sides:
\(\begin{gathered} 3x+9-9=-36-9 \\ \\ 3x+0=-45 \\ \\ 3x=-45 \end{gathered}\)Now, to end with x on the left side, we need to divide both sides by 3:
\(\begin{gathered} \frac{3x}{3}=-\frac{45}{3} \\ \\ \frac{3}{3}x=-15 \\ \\ 1x=-15 \\ \\ x=-15 \end{gathered}\)Answer: B) x = -15
I will give brainliest and ratings if you get this correct
\(D(x)=\frac{f(x)}{g(x)}\)
\(D'(x)=\frac{f'(x)g(x)-g'(x)f(x)}{(g(x))^{2} }\)
What is quotient formula of differentiation?Quotient rule in calculus is method finding the derivative of the differentiable functions which are in the division form
There are different methods to prove the quotient rule formula, given as,
Using derivative and limit propertiesUsing implicit differentiationUsing chain ruleHere, we are using implicit differentiation method to solve this quotient rule,
Let us take a differentiable function ,
\(D(x)=\frac{f(x)}{g(x)}\)--------(1)
So, \(f(x)={D(x)}*{g(x)}\)
Using the product rule we get,
\(f'(x)= D'(x).g(x)+g'(x).D(x)\) solving for \(D'(x)\) we get,
\(\frac{f'(x)-g'(x).D(x)}{g(x)} = D'(x)\)------(2)
substitute for D(x) sub (1) in (2)
\(D'(x) =\frac{f'(x)-g'(x).\frac{f(x)}{g(x)} }{g(x)}\)
⇒\(D'(x) =\frac{f'(x)g(x)-g'(x){f(x)} }{(g(x))^{2} }\)
Hence,\(D'(x)=\frac{f'(x)g(x)-g'(x)f(x)}{(g(x))^{2} }\) proved.
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Triangle ABC has vertices A(1, 3), B(–2, –1) and C(3, –2). What are the coordinates of the triangle after the reflection over the line x = y?
Answer:
a(3,1)
b(-1,-2)
c(-2,3)
Step-by-step explanation:
Given mn, find the value of x.
(3x-17)⁰
(2x+2)°
Answer:
Corresponding angles are congruent:
3x - 17 = 2x - 2, so x = 15.
What percent of 125 is 375?
A) 33.33%
B) 250%
C) 300%
D) 468.75%
Show work
Answer:
To find the percent of 125 that 375 is, we need to divide 375 by 125 and then multiply by 100.
375 / 125 = 3
So 375 is 3 times 125. Multiplying 3 by 100, we get:
3 * 100 = 300%
So the correct answer is C) 300%.
Succes!
Answer:
C) 300%
Step-by-step explanation:
Percent of 125 means the value of x/125.
Where x is the value 375.
375/125 = 3
3 * 1 =
3 * 100% = 300%
It can be mistaken as 33.33% since 125 is 33.33% of 375.
^^ This question is asking 125 is what percent of 375.
But remember, the question, 'What percent of 125 is 375?', is asking 375 is what percent of 125, not the other way around.
What is -20/2(7 2/3)
The simplified form of -20/2(7 2/3) is -230/3.
To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.
First, let's convert the mixed number 7 2/3 to an improper fraction.
7 2/3 = (7 * 3 + 2) / 3 = 23/3
Now, let's substitute the value back into the expression:
-20/2 * (23/3)
Next, we simplify the multiplication:
-10 * (23/3)
To multiply a fraction by a whole number, we multiply the numerator by the whole number:
-10 * 23 / 3
Now, we perform the multiplication:
-230 / 3
Therefore, the simplified form of -20/2(7 2/3) is -230/3.
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When you [_______________] measurements, the answer should only have the same number of significant figures as the measurement with the fewest significant figures
Answer:
When doing multiplication or division with measured values, the answer should have the same number of significant figures as the measured value with the least number of significant figures. Procedure to determine significant figures after multiplication or division: 1.
Step-by-step explanation:
The required solution is multiplication or division.
It is required to find the fill in blanks.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
When doing multiplication or division with measured values, the answer should have the same number of significant figures as the measured value with the least number of significant figures.
Therefore, the required solution is multiplication or division.
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The image shows a geometric representation of the function f(x) = x2 – 2x – 6 written in standard form.
This function written in vertex form include the following: A. f(x) = (x –1)² – 7.
How to determine the axis of symmetry and vertex of a quadratic function?In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:
Axis of symmetry = -b/2a
Where:
a and b represents the coefficients of the first and second term in the quadratic function.
For the given quadratic function f(x) = x² – 2x – 6, we have:
a = 1, b = -2, and c = -6
Axis of symmetry, Xmax = -b/2a
Axis of symmetry, Xmax = -(-2)/2(1)
Axis of symmetry, Xmax = 2/2
Axis of symmetry, Xmax = 1.
Next, we would determine vertex as follows;
f(x) = x² – 2x – 6
f(x) = 1² – 2(1) – 6
f(x) = -7.
Now, we can write quadratic function in vertex form;
f(x) = a(x - h)² + k
f(x) = (x - 1)² - 7
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Complete Question:
The image shows a geometric representation of the function f(x) = x² – 2x – 6 written in standard form.
What is this function written in vertex form?
f(x) = (x –1)² – 7
f(x) = (x +1)² – 7
f(x) = (x –1)² – 5
f(x) = (x +1)² – 5
Royell sold his shoes and put $1000 into a savings account with an interest rate of 5%. How much money will be in his account if he doesn't touch it after 7 years?
A $20,000
B $700
C $1,350
D $1,500
Answer:
C.
Step-by-step explanation:
(1,000)(0.05)(7)
I = $350
1,000 + 350
=$1,350
40 POINTS PLEASE HELP ASAP YOU CAN SAVE MY LIFE WILL GIVE BRANLIEST
Which expression is equivalent to 8\sqrt(6)
A.\sqrt(14)
B.\sqrt(48)
C.\sqrt(96)
D.\sqrt(384)
Answer:
D. \sqrt(384)
Step-by-step explanation:
All you have to do is to expand the root the way I have done. I hope you understand and rate this answer well.
Don't forget 8 is the same as root(8) * root(8) which will give root(64) and the square root of 64 is 8.
PLEASE HELP WITH FACTORING PROBLEM/SHOW WORK!
Answer:
(3x+2)(x-5)
Step-by-step explanation:
Factor by grouping
\(3x^2-13x-10\\=3x^2-15x+2x-10\\=3x(x-5)+2(x-5)\\=(3x+2)(x-5)\)
The sum of two numbers is 59. The smaller number is 5 less than the larger number. What are the numbers?
Help please
Answer:
The answer is 32 & 27 because they add up to 59 and 27 is 5 less than 32.
Step-by-step explanation:
Answer:
32, 27
Step-by-step explanation:
Call one number (the larger one) "x"
The other number (smaller one) is " x - 5"
As per the given information;
x + x - 5 = 59
Inverse operations;
x + x - 5 = 59
+5 +5
2x = 64
/2 /2
x = 32
Larger number= 32
Smaller numbers = x - 5 = 32 - 5 = 27
The printed price of a DVD player is $ 31. If the sales tax is 8% , find the price at which the DVD player is sold?
Answer:
$33.48
Step-by-step explanation:
Question 14 (Essay Worth 12 points)
(Comparing Data HC)
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Sky View School
9, 7, 2,0
8, 7, 6, 5, 5, 5, 4, 3, 1, 0
0
1
South Lake School
5,8
0, 1, 2, 6, 6, 8
2
0 3
Key: 2|1|0 means 12 for Sky View and 10 for South Lake
5, 5, 6, 7, 8
0,6
Part A: Calculate the measures of center. Show all work. (5 points)
Part B: Calculate the measures of variability. Show all work. (5 points)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (2 points)
7
3.1 Which basic property of operations was used in each of the following
calculations?
3.1.1 25 x 4 = 4 x 25 = 100
3.1.2 412 412 412 + (-412) = 0
3.1.3 25 +37
-
=
= 20 + 5+ 30+7
= 20 +30 +5+7
= 50+ 12 = 62
3.1.1 The basic property of operations used is the commutative property of multiplication.
3.1.2 The basic property of operations used is the additive inverse property.
3.1.3 The basic property of operations used is the associative property of addition.
3.1.1 The basic property of operations used in this calculation is the commutative property of multiplication. It states that the order of the factors in a multiplication problem can be rearranged without changing the product. In this case, the numbers 25 and 4 were swapped, resulting in the same product of 100.
3.1.2 The basic property of operations used in this calculation is the additive inverse property. It states that for any number, there exists an additive inverse such that when the number and its additive inverse are added together, the result is zero. In this case, adding 412 and its additive inverse (-412) results in zero.
3.1.3 The basic property of operations used in this calculation is the associative property of addition. It states that the grouping of numbers being added does not affect the sum. In this case, the numbers 25, 37, 20, 5, 30, and 7 were regrouped to facilitate easier mental addition. By grouping 25 and 37, and then grouping 20, 5, 30, and 7, the final sum of 62 is obtained, which is the same as adding all the numbers together in the original order.
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Find tano, where is the angle shown.
Give an exact value, not a decimal approximation.
17
ө
8
Answer:
Step-by-step explanation:
cos θ=8/17
sec θ=17/8
sec² θ-tan²θ=1
tan θ=√(sec²θ-1)=√((17/8)²-1)=√((289-64)/64)=√(225/64)=15/8
You need a shelf for a small space in your house, so you make a measurement with your meter stick and head to the store. Once there, you find that the dimension of the shelves you want is given in cm. If your space measured 0.8 m, and the shelves at the store measure 30 cm, answer the following questions: 1) How many meters wide is the shelf you want to buy? 2) Will it fit in your house? yes no
Answer:
1. 0.3 m
2. yes
Step-by-step explanation:
The computation is shown below:
Given that
Measurement of space = 0.8m
measurement of the shelves = 30 cm = 0.3 m as 1 m = 100 cm
So for 30 cm it would be
= 0.30 ÷ 100
= 0.3 m
Based on the above information,
1. The number of meters wide for the shelf to buy is 0.3 m
2 And yes it is fitted in the house
Using the required conversion metrics, the width of the shelf at the stis 0.3 meters and will not fit in the house.
Given the Parameters :
Measured width = 0.8 mStore width = 30 cmUsing the appropriate metric conversion values :
100 cm = 1 m
Converting the store measurement into meters :
30 cm ÷ 100 = 0.3 meters
Hence, the shelf you want to purchase measures 0.3 meters.
Since, the measured width and the width of the shelf at the store are different, then the shelf will not fit in.
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What is an equation of the line that passes through points (-2, -3) and (-1, 2)
A plot of land has vertices as follows, where each coordinate is a measurement in feet. find the perimeter of the plot of land (1,7),(7,7),(7,1),(1,1) A.24ft B.32ft C.16ft D.36ft
Answer:
D. 36ft
Step-by-step explanation:
Answer:
the real answer is 24 :)
Step-by-step explanation:
whats the perimeter of a squre with a side measurement of 6 in.?
Answer:
The Perimeter is 24 inches
Step-by-step explanation:
Perimeter is all the sides of something added up. All sides on a square are equal so each side is 6 inches
6+6+6+6=24
A scientist studying insects start with a population of 10. the population triples every hour. how many insects wil there be after 20 minutes
The question is asking you to understand that a population which is raised by a common ratio over a certain time period follows an exponential pattern. See:
After 1 hour, the population is 3*10
After 2 hours, the population is 3*3*10
After 3 hours, the population is 3*3*3*10
.....
This can be generalised as a function of t, the time in hours:
f(t) = (3^t) * 10
Since the function determines the population at a given time, it is more prudent to replace f(t) with P, the population after time t:
P = (3^t) * 10
Since 20 minutes is equal to (1/3) hours, t can be substituted for (1/3) in order to calculate the population size after 20 minutes:
P = (3^(1/3)) * 10 = 14.4224957031 ≈ 14
Therefore the population after 20 minutes is 14.
1. Simply the answers
2. State domain in interval notation
When a variable (or set of letters) in an algebraic statement is substituted, its numerical value is used instead. The expression's total value can then be calculated.
What is the substitute f(x) for x in the expression?Using the given functions, we have:
\(f(x) = x^2 + 3\)
\(g(x) =\) \(\sqrt{(x-4)}\)
To find f(g(x)), we substitute g(x) for x in the expression for f(x):
\(f(g(x)) = (g(x))^2 + 3\)
= (\(\sqrt{(x-4))^2 + 3}\)
\(= (x-4) + 3\)
\(= x - 1\)
Therefore,\(f(g(x)) = x - 1.\)
To find g(f(x)), we substitute f(x) for x in the expression for g(x):
\(g(f(x)) =\) \(\sqrt{((f(x)) - 4)}\)
= \(\sqrt{((x^2 + 3) - 4)}\)
= \(\sqrt{(x^2 - 1)}\)
= |x|\(\sqrt{(x^2 - 1)}\)
Therefore, \(g(f(x)) =\) |x| \(\sqrt{(x^2 - 1)}\)
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The distance of a planet to a rocket in space is modeled by the function d(x)=−x2−7x+17 , where the distance is measured in hundreds of miles and x is measured in days from when the rocket's journey began.
When is the distance between the rocket and the planet greater than 1?
Enter your answer rounded to the nearest hundredth in the boxes.
Answer:
(0, 1.82)
Step-by-step explanation:
Please turn the sentence into an expression
3. twelve more than the sum of ten and a
number
Answer:
Do U-Turn
Step-by-step explanation:
Step-by-step explanation:
12+(10+x)
I hope this helps
what is the answer to 4x - 6 ≥ 6x - 20
Answer: x ≤ 7
Step-by-step explanation:
Answer:
x\(\leq\)7
Step-by-step explanation:
4x-6\(\geq\)6x-20
First get x on one side.
So substract 6x on each side to get:
4x-6x-6\(\geq\)-20
Then add 6 on each side to get:
4x-6x\(\geq\)-14
Simplify.
-2x\(\geq\)-14
Divide each side by -2 to get x alone.
*Remember that when dividing by a negative sign is fliped.
x\(\leq\)-14/-2
Simplify.
x\(\leq\)7
The sum of two numbers is 80. The ratio of those two numbers is
3:5. Find the larger number.
Answer:
the larger number is 50
Step-by-step explanation:
3:5
×10
30:50
30+50=80
Answer:
I think the larger number would be 50
Step-by-step explanation:
I could be wrong but im pretty sure the larger number is 50.
Evaluate the expression (2b+3a)×(c to the power of 2) when a=4 , b=3 , and c=1/3 .
Answer:
2
Step-by-step explanation:
(2b+3a) x (c power 2)2*3+3*4 x 1/3 power 2
6+12 x 1/9
18 x 1/9
2 x 1 (because 9 and 18 are cutted by each other)
2
2
Step-by-step explanation:To evaluate the expression (2b+3a)×(c^2) when a=4, b=3, and c=1/3, we substitute the given values into the expression and perform the indicated arithmetic operations:
(2b + 3a) × (c^2)
= (2(3) + 3(4)) × ((1/3)^2) (substitute a=4, b=3, c=1/3)
= (6 + 12) × (1/9) (evaluate 2(3) + 3(4) and (1/3)^2)
= 18/9
= 2
Therefore, when a=4, b=3, and c=1/3, the expression (2b+3a)×(c^2) equals 2.
a)
b)
1. Convert the following Mayan numbers to
decimal (base 10).
: :|| :||
The given Mayan number which is : :|| :|| in decimal (base 10) is 42.
The Mayan number system is a base-20 system that uses three symbols: a dot (.), a horizontal bar (|), and a shell-like symbol (:). The symbol for zero is a shell-like symbol (:).
To convert the given Mayan number to decimal (base 10), we need to understand the positional value of each symbol. Each position in the number represents a power of 20, with the rightmost position being 20⁰, the next position to the left being 20¹, and so on.
The Mayan number given, : :|| :||, can be broken down as follows:
The leftmost position has no symbol, which represents a value of 0.
The second position from the left has two shell-like symbols (:), which represents a value of 2x20¹ = 40.
The third position from the left has two horizontal bars (||), which represents a value of 2x20⁰ = 2.
The given Mayan number in decimal (base 10) is 40 + 2 = 42.
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Complete question is:
Convert the following Mayan number to decimal (base 10).
: :|| :||
Ben's Barbershop has a rectangular logo for their business that measures 7(1)/(5) feet long with an area that is exactly the maximum area allowed by the building owner. Create an equation that could be used to determine M, the unknown side length of the logo.
An equation that could be used to determine M, the unknown side length of the logo is X = (36/5) x M
Let's assume that the unknown side length of the logo is 'M'. The logo is a rectangle, and the area of a rectangle is given by multiplying its length and width. Since we know the length of the logo is 7(1)/(5) feet, we can write the equation:
A = L x W
where A is the area of the logo, L is the length of the logo, and W is the width of the logo.
Substituting the given values, we get:
A = (7(1)/(5)) x M
or
A = (36/5) x M
Now, we know that the area of the logo is exactly the maximum area allowed by the building owner. Let's assume this maximum area is 'X'. So, we can write another equation:
A = X
Combining both equations, we get:
X = (36/5) x M
This is the required equation that could be used to determine the unknown side length 'M' of the logo if we know the maximum area allowed by the building owner 'X'.
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Pls help I’ll brainlest ASAP
Answer:
Step-by-step explanation:
The second equation is twice the first equation. So they can multiply by 2.
Answer:
hahaha
Step-by-step explanation: