what is nine plus ten
The value of nine plus ten is 19
What are Mathematical operations?Mathematical operations are simply known as arithmetic operations used in solving algebraic problems and other mathematical calculations.
These operations include;
AdditionSubtractionMultiplicationDivisionBracketExponents, etcIn this case, we have;
nine plus ten
This is expressed as;
9 + 10
The sum is 19
Thus, the value of nine plus ten is 19
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Evaluate each logarithm.
log₁/₂ 1/2
The answer to the given logarithm expression is log₁/₂ 1/2 = 1
Another technique to clarify exponents in mathematics is through logarithms. A base number's logarithm equals another number.
For instance, log10 100 = 2 if 102 = 100. A logarithm is defined as an influence by which variety must be raised to receive another value. this is often the foremost convenient thanks to represent large numbers. Logarithms have several important properties that prove that logarithmic multiplication and division is written because the logarithm of addition and subtraction. The log is named the logarithm of base e. The logarithm is represented by ln or loge. where 'e' represents Euler's constant, approximately capable 2.71828. as an example, the log of 76 is written as ln 76. The log defines what percentage times 'e' must be multiplied to induce the required output.
Using log property logₐ a = 1log₁/₂ 1/2 = 1
Hence , we evaluated the logarithm which is log₁/₂ 1/2 = 1
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HELP ME PLEASE
Your friend invites you to go to an indoor skateboard park. you'd like to go, but since you dont have a helmet or knee pads, you'll have to pay to rent them. You'll also need to buy a day pass to enter the park.
Write a formula that will help you determine your total cost. h=helmet rental
k=knee pad rental
p=cost of day pass
c=total cost
Answer:
C=h+k+p
Step-by-step explanation:
You just add all of the variables and it equals your total cost. if it was by hour the equation would be slightly different
Yong Quan was trying to access his email account when he could not remember the 4 digit password to the email account. He clicked on the button to reveal a hint. The hint: The biggest even number which can be formed by the numbers 1, 3, 8, 6. What was Yong Quan's password to the email account?
Which expression represents the solution of the equation x/y = c/ a+b solved for a ?
(A) c/b - x / y (B) yc / a+b (C) yc /x+b (D) y c-x b / x
The solution of the equation solved for a is (D) y c-x b / x
As it is given that
x / y = c / a + b
Calculating for a
(a + b)x = cy
a + b = cy / x
a = (cy / x) - b
a = (cy - bx) / x
a = (yc - xb) / x
The solution of the equation solved for a is (D) y c-x b / x
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Solve each equation. If necessary, round to the nearest ten-thousandth. logB(2 x-1)=1/3
The solution of the given equation by rounding off it to the nearest ten-thousandth is 0.0872.
What is a round-off of the digit?
In mathematics, a round-off is defined as an approximation of the given number to a fewer number of significant digits by taking into consideration some rules.
For eg: 13.58 ~ 13.6
Solving the given equation log 8(2x - 1) = 1/3
We are given a logarithmic expression: log 8(2x - 1) = 1/3
We know that e^(log b) = b
a log b = (log b)^a
log a + log b = log (ab)
Using exponential on both sides, we have
e^(log 8(2x - 1)) = e^(⅓)
8(2x - 1) = 1.3956
(2x - 1) = 1.3956 / 8
2x = 0.17445
x = 0.0872
Hence, the solution of the given equation rounded off to the nearest ten-thousandth is 0.0872.
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Simplify. Rationalize all denominators. 4+√12 / 4-√12
The simplification of 4+√12 / 4-√12 after rationalizing all denominators
is 7+4[tex]\sqrt{3}[/tex]
We are given the equation;
[tex]\frac{4+\sqrt{12} }{4-\sqrt{12} }[/tex]
The above equation can also be written as;
[tex]\frac{4+\sqrt{4*3} }{4-\sqrt{4*3} }[/tex]
Since our question requires us to rationalize the denominator, we will use the initial equation to rationalize the denominator. That is;
[tex]\frac{4+\sqrt{12} }{4-\sqrt{12} }[/tex] * [tex]\frac{4+\sqrt{12} }{4+\sqrt{12} }[/tex]
We then simplify;
4(4+[tex]\sqrt{12}[/tex])+[tex]\sqrt{12}[/tex](4+[tex]\sqrt{12}[/tex]) / 4(4+[tex]\sqrt{12}[/tex])- [tex]\sqrt{12}[/tex](4+[tex]\sqrt{12}[/tex])
= 16+4[tex]\sqrt{12}[/tex]+4[tex]\sqrt{12}[/tex]+[tex]\sqrt{12*12}[/tex] / 16+4[tex]\sqrt{12}[/tex]-4[tex]\sqrt{12}[/tex]-[tex]\sqrt{12*12}[/tex]
= 16+8[tex]\sqrt{12}[/tex]+12 /16-12
=28+8[tex]\sqrt{12}[/tex] / 4
=28+8[tex]\sqrt{4*3}[/tex] /4
= 28+8*2[tex]\sqrt{3}[/tex] /4
=28+16[tex]\sqrt{3}[/tex] /4
Divide all sides by 4;
= 7+4[tex]\sqrt{3}[/tex]
The final answer is therefore; 7+4[tex]\sqrt{3}[/tex]
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which statement is true about the system of linear equations graphed in the coordinate plane below
Answer:
Step-by-step explanation:
The system of equations does not have one solution because the lines will never intersect.
I can type 400 words per hour. How many minutes will it take me
to write a report with 2,000 words
Writing 2,000 words will take about 50 minutes for the average writer typing on a keyboard and 1.7 hours for handwriting.
Answer:
5 hours. the response has to be 20 characters long.
You are given that f(x)=x²+4 and g(x)=3 x-1 .
b. Find f(x)+g(x) .
The summation of f (x) and g (x) = x ² + 3 x + 3
Given,
f (x) = x ² + 4
g (x) = 3 x - 1
The question states to find the summation of the function f, that is, f (x) = x ² + 4, and function g, that is, g (x) = 3 x - 1
Performing the addition operation on these functions is just like simple addition.
This implies, adding the two functions f (x) and g (x), we get
f (x) + g (x) = x ² + 4 + 3 x - 1
=> f (x) + g (x) = x ² + 3 x + 3
This assumes that the summation or addition of the two functions f (x) and g (x) gives x ² + 3 x + 3
Therefore, we get the summation of f (x) and g (x) as x ² + 3 x + 3
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What percent of
140 is 175?
Answer:
125%
this is the answer in percent form
if we take 140 as the 100%, what is 175 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 140 & 100\\ 175& x \end{array} \implies \cfrac{140}{175}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{4}{5}=\cfrac{100}{x}\implies 4x=500\implies x=\cfrac{500}{4}\implies x=125[/tex]
PLEASE HELP ME MARKING BRAINLYYYYY
Answer:
i think it c im not sure though I tried my best to figure the answer out. pls dont get mad if its wrong.
Answer:
A
Step-by-step explanation:
20xday will help determine how many she reads, the +52 will allow us to account for the 52 she a;ready read.
An athlete is training for a triathlon by running each day. After 3 1/2 days, they ran a total of 12 3/5 miles. On average, how many miles did this athlete run per day? This is a division question. The mixed number 3 1 2 is the divisor. pls help asap
On average, the number of miles the athlete ran per day is; 18/5 or 3.6 miles per day
How to calculate the average distance?We are given;
Number of days the athletes ran = 3¹/₂ days = 7/2 days
Total distance ran in the given time = 12³/₅ miles = 63/5 miles
Now, the average distance will simply be given by the expression;
Average Distance = Total Distance/Number of days of running
Now, let us convert the fractions to improper fraction for easy division. Thus, we have;
Number of days the athletes ran = 7/2 days
Total distance ran in the given time = 63/5 miles
Thus;
Average Distance = (63/5)/(7/2)
Average distance = 63/5 * 2/7 = 18/5 = 3.6 miles per day
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Rationalize the denominator of each expression. Assume that all variables are positive. ∛x / ∛y
The rationalization of the given expression is (xy²)¹/³ /y .
Rationalization can be thought of as the process used to remove the base or imaginary number from the denominator of an algebraic fraction. That is, remove the radical of the fraction so that the denominator contains only rational numbers.Radicals are expressions that use roots such as: B. Square root or cube root. For example, an expression of the form: √(a + b) is a root.The mathematical conjugate of any binomial means another exact binomial with opposite signs between the two terms.We have to rationalize the denominator of the expression ∛x / ∛y ,
where x and y are positive.
∛x / ∛y
= (∛x / ∛y) × (∛y / ∛y)
= ∛(x × y) / ∛(y × y)
= (∛xy)/ ∛y²
= (∛xy)/∛y²
= (xy²)¹/³ /y
The answer is (xy²)¹/³ /y .
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A 99-inch candle burns down in 12 hours. At what rate does the candle burn, in inches per hour?
Answer: 8.25 inches per hour
Step-by-step explanation: 99/12 = 8.25
I need help on number 2
The value of the x means hypotenuse according to the Pythagoras is 12.8.
According to the statement
We have to find that the value of the x.
So, For this purpose, we know that the
Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse
From the given information:
The perpendicular length is 12.
And The base is a 4.5
And we have to find that the hypotenuse value.
Then
According to the theorem
Perpendicular^2 + base^2 = Hypotenuse^2
And substitute the value then
12^2 + 4.5^2 = Hypotenuse^2
144 + 20.25 = Hypotenuse^2
Then
Hypotenuse^2 = 144 + 20.25
Hypotenuse^2 = 164.25
Hypotenuse = 12.8.
So, The value of the x means hypotenuse according to the Pythagoras is 12.8.
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the length of time for $5000 to earn $1000 if invested at 10% per annum
if g(x)=x^2-7x find g(-2)
The value of the function at g(-2) is 18.
A function is defined a relation between two variables in such a way that the dependent variable y is related to the independent variable x.
Functions are normally denoted by f, g or h and g(x) denotes a function whose independent variable is x.A value of x is called the domain The resultant value of y for every x in the domain is called the range of the function.To calculate a specific value of a function we substitute the given value in the expression of x thereby calculating the value of the function at that point.
Given function : g(x)=x²-7x
At x=-2 , written as g(-2) we put the value -2 in the expression of x.
∴g(-2)=(-2)²-7(-2)
or, g(-2)=4+14
or, g(-2)=18
Hence the value of the function at g(-2) is 18.
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lily’s age is 2 years and 4 months hugo’s age is 1 year and 8 months
write lily’s age in months as a fraction of hugo’s age in months
give your fraction in its simplest form
Step-by-step explanation:
lily's in months=4/12
hugos in months=8/12
4/12+8/12
1/3+2/3
lily's month in simplest form=1/3
hugos month in simplest form=2/3
Complete the table and then graph the function.
summing-up the values for equation of line y = x/2 + 1 in table :
x y
-10 -4
-6 -2
-2 0
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
Here, the given equation is :
y = x/2 + 1
Now, computing the value of y corresponding to values of x by substituting values in above equation :
when x = -10 :
y = x/2 + 1
y = -10/2 + 1
y = -5 +1
y = -4
similarly, for :
x = -6 , y = -2
x = -2 , 0
summing-up the above values in table that is attached below :
x y
-10 -4
-6 -2
-2 0
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
Now to draw the line graph of above equation taking any two coordinates let us say (-2,0) and (-2,-6). Now drawing the line joining these two points as shown in figure attached below.
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Using the law of exponents to solve:
A) -i
B) -1
C) 1
D) i
WILL GIVE BRAINLIEST
Answer:
y = 85
Step-by-step explanation:
6x - 25 = 4x + 15
(Subtract 4x from both sides)
2x - 25 = 15
(Add 25 to both sides)
2x = 40
(Divide 40 by 2)
x = 20
6(20) - 25 = 4(20) + 15
(Solve)
95 + 95 = 190
(Subtract 360 from 190)
360 - 190 = 170
(Divide 170 by 2)
85
y = 85
What values of x and y satisfy the system {y=−2x+3y=5x−4?
Enter your answer as an ordered pair, like this: (42, 53)
If your answer includes one or more fractions, use the / symbol to separate numerators and denominators. For example, if your answer is (4253,6475), enter it like this: (42/53, 64/75)
If there is no solution, enter "no"; if there are infinitely many solutions, enter "inf."
The solution to the given system of equations is x = 1, y = 1. That is, (1, 1)
From the question, we are to solve the given system of equations.
The given system of equations is
y = -2x + 3y ------------- (1)
y = 5x - 4 ------------- (2)
Substitute equation (2) into equation (1)
y = -2x + 3y
5x - 4 = -2x + 3(5x - 4)
5x - 4 = -2x + 15x - `12
Collect like terms
-4 + 12 = -2x + 15x - 5x
Simplify
8 = 8x
∴ x = 8/8
x = 1
Substitute the value of x into equation (2)
y = 5x - 4
y = 5(1) - 4
y = 5 - 4
y = 1
Hence, the solution to the given system of equations is x = 1, y = 1. That is, (1, 1)
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Find all the zeros of each function. f(x)=x⁴-5 x²+6
According to the question, to calculate the zeros of each function. The given function is f(x) = [tex]x^{4}-5x^{2} +6[/tex]
Now, let us assume [tex]a=x^{2}[/tex]. Therefore, the above equation can be written as:
[tex]f(x)=a^{2}-5a+6[/tex]
Calculate the factors of the given equation and it can be re-written as:
[tex]f(x) = (a+2)(a+3)[/tex]
To calculate the final solution, equate it to zero.
[tex](a+2)(a+3)=0\\a=-2,-3[/tex]
Now, substitute these values in the original assumed equation:
The zeros function values are [tex]-\sqrt{2i};\sqrt{2i},-\sqrt{3i} ,\sqrt{3i}[/tex]
What is zero functions?
A zero function is a function which is almost zero everywhere on the graph. It is also known as a constant function.
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Find m<1 (1 point each)
Answer:
7°
Step-by-step explanation:
The three angles of a triangle should sum up to 180°
→ m∠1 + 121 + 52 = 180
→ m∠1 + 173 = 180
→ m∠1 = 180 - 173 = 7°
A nutrition label indicates that one serving of apple crisp
oatmeal has 2.5 grams of fat. How many grams of fat are t
there in 3.75 servings? Justify your answer. (Example 5) Ex
9.375 grams of fat are there in 3.75 servings.
A Nutrition Facts label lists the nutritional content, the serving size, and the calories for a recommended serving of a food product. This helps consumers make the best decision on how much to eat, maybe when they want to eat this food, or how they can better balance their food choices throughout the day.
Given the statement:
A nutrition label indicates that one serving of Apple crisp oatmeal has 2.5 grams of fat.
Determine the grams of fat in 3.75 servings.
In order to determine the grams of fat in 3.75 servings, we simply needed to multiply 2.5 grams by 3.75.
= (2.5 grams)×( 3.75)
= 9.375 grams of fat.
Thus , 3.75 servings contain 9.375 grams of fat ,if 1 serving contain 2.5 grams of fat .
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3) Find the length of the line on the grid below. Hint: you need to draw a
right triangle with the given line as the hypotenuse!
Jaycee has already saved $75 for an upcoming vacation. Every week, she adds another $15 to her vacation savings. The relationships between x, the number of weeks from now, and y, the amount Jaycee has in her vacation savings, is a linear relationship. Write an equation to describe the linear relationship.
Answer:
it adding
Step-by-step explanation:
Suppose that x and y vary inversely. Write a function that models each inverse variation and find y when x=-5 . x=2 when y=12
A function that models each inverse variation is y = 24. 1/x and y when x=-5 is -24/5
What precisely is the inverse of a function?Those with inverse properties cancel each other out. In other words, f(g(x)) = g(f(x)) = x if g(x) is f's inverse (x). We have a great approach we can use to achieve this given an equation for which we desire the inverse.
Not every action has an equivalent. It is obvious that f(x) will never again have the same value if it has an inverse. We designate a unique name for this resource.
Inverse variation is y = k. 1/x
given y = 12
x = 2
So, 12 = k. 1/2
So, the value of k = 24
We can conclude that the value of constant variation is 24
when x = -5, the value of y will be -
y = k.1/x
y = 24 . 1/-5
y = -24/5
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z -3y + 5y combining like terms?
Answer:
z+2y
Step-by-step explanation:
z is the only z there so dont have to change
-3y+5y=2y
so u get z+2y
Hey there!
z - 3y + 5y
= 1z - 3y + 5y
COMBINE the LIKE TERMS:
= (-3y + 5y) + (1z)
= -3y + 5y + 1z
= 2y + 1z
= 2y + z
Therefore, your answer should be:
2y + z
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)