If the equation is log x=5 then the value of 1/x is equal to 0.00001.
Given that the equation is log x=5.
We are required to find the value of 1/x.
Equation is basically the relationship between two or more variables that are represented in equal to form. It may be linear equation,quadratic equation and cubic equation and many more depending on the power of variables present in the equation. The given equation contains logarithm.
The equation is log x=5.
Take the base of the log and raise it to both the sides of the equation:
[tex]10^{log x}[/tex]=[tex]10^{5}[/tex]
x=100000 (log 100000=5)
1/x=1/100000
1/x=0.00001
Hence if the equation is log x=5 then the value of 1/x is 0.00001.
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Simplify the expression.
164[3+2+ (9-7)] =
After thoroughly calculating the simplifying the expression 164[3+2+ (9-7)] is 1148
What is mathematical expression?An expression in mathematics is a combination of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.)
You can think of expressions as being similar to phrases. A phrase in language may contain an action on its own, but it does not constitute a complete sentence.
The following are some examples of expressions and word phrases that they relate to:
Formula: 3 + 7
Expressions and equations are different from one another because an expression consists of a combination of numbers, variables, and operation symbols, whereas an equation consists of two different expressions joined together by an equals sign. This shows that the expression's two sides have the same value.
Simplification of the expression 164[3+2+ (9-7)]
⇒ 164[3+2+ (9-7)] =
⇒ 164[5+(2)] =
⇒ 164[5+(2)]
⇒ 164(7)
⇒ 1148
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The expression 0.036m³/₄ is used in the study of fluids. Which best represents the value of the expression for m=46 x 10⁴ ?
(A) 636
(B) 1460
(C) 1660
(D) 16,600
The value of the expression 0.036m³/₄ is determined by algebraically substituting the value of m=46 x 10⁴ and solving the radical expression.
In the given radical expression, 0.036 is a constant and m is a variable with a power of ¾.
We will solve for the variable term first which will be written as a radical and multiply it with the constant.
Substituting m=46x10⁴ in the expression 0.036m³/₄.
0.036m³/₄=0.036(46x10⁴)³/₄
Now rewrite the expression as a radical,
0.036(46x10⁴)³/₄= 0.036∜(46*104)3
Multiply the exponents within radicand term,
= 0.036∜(463*1012)
Now simplify the expression,
= 0.036∜(463*(103)4
= 0.036*103 *∜463
= 0.036*103 *∜97,336
= 36 ∜97,336
= 36*17.66≈636
Hence, the correct answer is option A.
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Can someone to help me answer this
I am pretty sure it is the top right graph
Measure of each numbered angel m<1=38
The measures of the angles are <1 = 38, <2 = 142, <3 = 38 and <4 = 142
How to use the diagram to find the angle measures that satisfy each case?The diagram that completes the question is added as an attachment
From the diagram, we have
<1 + <2 = 180 degrees --- supplementary angles
Given that
<1 = 38 degrees
We have
38 + <2 = 180
Evaluate
<2 = 142
Also, we have
<3 = <1
<4 = <2
This means that
<3 = 38
<4 = 142
Hence, the measures of the angles are <1 = 38, <2 = 142, <3 = 38 and <4 = 142
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What is the solution of each system of equations? Solve using matrices.
b. [4x-6y=9 -10x+15y = 8]
The system of equations which is as represented in the task content above when solved by elimination, substitution or matrices has no solution.
This goes to say that the above given system of equations ultimately has no solution using matrices
What is the solution of the system of equations given in the task content?It follows from the task content that the solution pair of the system of equation as given in the task content is to be determined.
Given system of equation;
4x-6y=9
-10x+15y = 8
By multiplying the first equation by 5 and the second equation by -2; we have;
20x - 30y = 45
20x - 30y = -16
Hence, it is evident that the system of equations above has equal slope but different intercept equations.
Consequently, subtract equation 2 from 1 so that we have;
0 = 61....an equality which doesn't hold true.
Ultimately, the system of equations has no solution.
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Simplify the following expression using Distributive Property ½(x+10)
Answer:
I think the answer is
1/2x + 5
Step-by-step explanation:
You have solved equations containing square roots by squaring each side. You were using the property that if a=b then a²=b² . Show that the following statements are not true for all real numbers.
a. If a²=b² then a=b .
If a² = b² , then a = b is not true for all real numbers.
We know that ' if a = b, then a² = b²'.
We need to prove that the converse of this statement is not always true.
i.e., we need to show that if a² = b² , then a = b is not true for all real numbers.
To show that a statement is wrong we just need to find a counter example for the statement.
For this, let a = -5 and b = 5.
Clearly, a ≠ b
But -5² = 25 and 5² = 25
That is, a² = b² but a ≠ b.
Hence we proved that 'If a² = b² , then a = b is not true for all real numbers'.
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HELP PLEASEEEEEEEEEE
Answer:
11:50 AM
Step-by-step explanation:
We should first find the sum of the times it would take her to clean each room, along with the break time.
Kitchen = 80 minutes
Lounge = 40 minutes
Bedroom = 90 minutes
Bathroom = 35 minutes
Break = 45 minutes
[tex]\text{Total time (in minutes) } = 80 + 40 + 90 + 35 + 45 = 290.[/tex]
We should then divide this amount of minutes by 60 to find how many hours it took her.
[tex]\text{Total time (in hours) } = \frac{290}{60} = 4\frac56[/tex]
This means it took her 4 hours and 50 minutes to finish cleaning.
Therefore, if she started working at 7 AM and worked for 4 hours and 50 minutes, she was done by 11:50 AM.
Jordan's t-shirt business sells long sleeve shirts for $15 and short sleeve shirts for $10. he needs to make at least $300 to buy a new heat press machine. so far, fewer than 28 people have purchased shirts. which system of inequalities fits this scenario?
The system of inequalities fits in this scenario are x + y & lt; = 2815x + 10Y & lt;= 300.
An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way.
The majority of the time, size comparisons between two numbers on the number line are made. Different types of inequalities are represented by a variety of notations, including: The symbol a b indicates that an is smaller than b. When a & gt; b is used, it indicates that an is bigger than b. A is not equivalent to b in any scenario. Since an is strictly less than or strictly greater than b, these relationships are known as stringent inequalities. Equivalence is not considered. In the given questions the inequalities are x + y & lt;= 2815x + 10y & lt;= 300
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barbara has 526 pieces of candy that she wants to share with the 19 students in her class.Barbara wants to make sure that each classmate gets the same amount of candy.How many pieces of candy will each of her friends recieve and how many pieces will she have left over for herself. Answers
Answer: they will get 27 each and their will be 13 left over
Step-by-step explanation:
5/14
April has 2/3 cup sugar and Mike has 1 3/6 cups of sugar. How much do
they have together?
S. Mr. Watkins looks up at the top of a tree. The tree is 10 m away, and he can see the top at an
angle of 25 degrees. How tall is the tree?
The problem does not mention the height of S. Mr. Watkins, so we are just going to assume its from his feet.
So, i made this drawing to represent him and the tree, at a distance of 10 meters looking up at a 25* angle.
I marked the opposite side, adjacent side, and hypotenuse.
x is angle where you are "looking" from. I.E., from the POV of mr watkins.
sin(x) = opposite/hyp
cos(x) = adj/hyp
tan(x) = opp/adj
So, we have an unknown side which is the opposite side, represented by length x.
The side adjacent is 10 meters.
The angle from him is 25 degrees.
What deals with adjacent and opposite? Tangent.
Tan(25) = x/10
Solve for x.
10tan(25) is the height of the tree = 4.66
The height of the tree is 5 meters.
In 1812, an earthquake of magnitude 7.9 shook New Madrid, Missouri. Compare the intensity level of that earthquake to the intensity level of each earthquake below.
magnitude 9.5 in Valdivia, Chile, in 1960
The intensity level of the earthquake in New Madrid, Missouri in 1812 was about 1.6 times less than the intensity level of the earthquake Valdivia, Chile, in 1960.
We use the following formula for comparing the intensity level of earthquakes-
Log (i1 / i2) = M1 - M2
where i = intensity level determined by a seismograph
M = magnitude on a Richter scale.
Now, from the given information-
magnitude of earthquake in New Madrid = 7.9
Thus, M1 = 7.9
Then intensity of the earthquake in New Madrid = i1
magnitude of earthquake in Chile = 9.5
Thus, M2 = 9.5
Then intensity of the earthquake in Chile = i2
⇒ log (i1 / i2) = 7.9 - 9.5
log (i1 / i2) = -1.6
This means that the intensity level of the earthquake in New Madrid, Missouri in 1812 was about 1.6 times less than the intensity level of the earthquake Valdivia, Chile, in 1960.
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Write 0.33 as a percentage.
Answer:
33%
Step-by-step explanation:
moving the decimal two places to the right
(0,-6) (-3,-8) (2,-4)
Are these points collinear or no??
RIGHT ANSWERS ONLY, PLS AND TY
Line that passes through (0,-6) and (2,-4)
[tex]y = mx + c \\ m = \frac{ - 6 + 4}{0 - 2} = \frac{ - 2}{ - 2} = 1 \\ c = y - mx = - 4 - 1(2) = - 6 \\ y = x - 6[/tex]
If the third point (-3,-8) belongs to this line, then it must satisfy its equation and be collinear to the other two points, if not, then these points are not collinear, check:
[tex] - 8 = - 3 - 6 \\ - 8≠ - 9 \\ so \: nopeeee[/tex]
Let f(x)=x-4 and g(x)=x²-16 . Perform each function operation and then find the domain. f(x)=g(x)
The domain of the function h(x) = x² - x - 12 when the function operation f(x) = g(x) is performed is ( - ∞ , ∞ ).
A domain is a collection of potential input values. All input values visible on the x-axis make up the graph's domain. The collection of potential output values represented on the y-axis is known as the range.
Consider the two functions,
f(x) = x - 4 and g(x) = x² - 16
The function operation f(x) = g(x).
g(x) - f(x) = h(x)
x² - 16 - ( x + 4 ) = h(x)
h(x) = x² - x - 16 + 4
h(x) = x² - x - 12
The collection of input or argument values for which a function is actual and defined is known as its domain.
So, the domain of the function h(x) is ( - ∞ , ∞ ) or - ∞ < x < ∞.
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2 1/6 + 3 4/9
Need help with this mixed number problem:)
Answer:
5.611 or 5 11/18
Step-by-step explanation:
hope this is helpful!
Answer:5/3
Step-by-step explanation:
Write each expression in simplest form. (x⁴/x⁻¹)⁻¹/₅
The simplest form of the expression [tex](\frac{x^{4}}{x^{-1}} )^{\frac{-1}{5} }[/tex] is [tex]\frac{1}{x}[/tex].
The simplest form of a fraction is one with a reasonably prime denominator and numerator. It indicates that, except for 1, there is no common factor between the fraction's numerator (upper portion or top) and denominator (lower part or bottom).
A fraction is a number that has been expressed as a quotient by dividing the numerator by the denominator. Both are integers in a simple fraction. In a complex fraction, a fraction can be found in either the numerator or the denominator.
An expression is made up of a number, a variable, or a combination of a number, a variable, and operation symbols. Two expressions joined by an equal sign form an equation.
Consider the expression,
[tex](\frac{x^{4}}{x^{-1}} )^{\frac{-1}{5} }[/tex]
Now we know,
[tex]x^{-1}=\frac{1}{x}[/tex]
Therefore,
[tex](\frac{x^{4}}{x^{-1}} )^{\frac{-1}{5} } =(\frac{1}{\frac{x^4}{x^{-1}} })^{\frac{1}{5} }[/tex]
[tex](\frac{x^{4}}{x^{-1}} )^{\frac{-1}{5} } =(\frac{x^{-1}}{x^4})^{\frac{1}{5}[/tex]
[tex](\frac{x^{4}}{x^{-1}} )^{\frac{-1}{5} } =(\frac{1}{x \times x^4})^{\frac{1}{5}[/tex]
Using the exponential rule,
[tex]n^{b} \times n^{a} = n^{a+b}[/tex]
[tex](\frac{x^{4}}{x^{-1}} )^{\frac{-1}{5} } = (\frac{1}{x^{5}} )^{\frac{1}{5}[/tex]
[tex](\frac{x^{4}}{x^{-1}} )^{\frac{-1}{5} } = \frac{1}{x^{5 \times \frac{1}{5} }}[/tex]
[tex](\frac{x^{4}}{x^{-1}} )^{\frac{-1}{5} } = \frac{1}{x}[/tex]
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Learn with an example
or Watch a tutorial
The midpoint of FG is M(4, 6). One endpoint is G(2, 8). Find the coordinates of the other
endpoint F.
Answer is the coordinates of endpoint F(6, 4).
In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.
let coordinate of F is (x,y).
4= (x + 2)/2
8= x +2
x = 6
6= (y +8)/2
12 = y + 8
y = 4
Answer is the coordinates of endpoint F(6, 4).
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Mariam took a taxi from her house to the airport. The taxi company charged a pick-up fee of $2.90 plus $1.25 per mile. The total fare was $6.65, not including the tip. Write and solve an equation which can be used to determine m, the number of miles in the taxi ride.
Equation:
Answer: m =
Answer:
are there options?
Step-by-step explanation:
how do you know when a table is a function? explain
Answer:
You know a table is a function when each element inside the domain matches with only one element within the range.
Answer: You know a table is a function when each element inside the domain matches with only one element within the range.
Step-by-step explanation: hope this helps
Evaluate each logarithm. log₃ 1/9
According to the given the given logarithm log₃ 1/9 the value is = -2
What is Logarithmic functions?Logarithmic functions are significant due of their link to exponential functions. Logarithms are useful for solving exponential equations and investigating the properties underlying exponential functions.
According to the given information:log₃ 1/9
Can be written as:
log₃ (1/9) = x
using the log definition in exponential form. if x and b are positive real number and b dose not equal 1 then log_b (x) = y is equivalent to b^y = x.
3^x = 1/9
creating equivalent expression in the equation that all have equal base.
3^x = 3^-2
if the base are the same, two expression are only equal if the exponential are also equal
x = -2
the variable x is equal to -2
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Mauna Loa depresses the sea floor,
resulting in 26,400 more feet added to
its height. What is the total height of
Mauna Loa?
In linear equation, 40100 is the total height of Mauna Loa .
What in mathematics is a linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.the total height of Mauna Loa
26400 +13700 = 40100
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The complete question is -
Mauna Loa depresses the sea floor, resulting in 26400 more feet added to its height. If Mauna Loa is 13700 ft tall. What is the total height of Mauna Loa?
There are 62 people at the commuter area waiting to catch carpool vans. Each van can fit 9 people. How many vanes will be needed to transport everyone so that no one is left behind?
Answer:
7 vans
Step-by-step explanation:
62 ÷ 9 = 6.86.8 is not a whole number, so when you round it to the nearest whole number you get 7.[Also, 9 × 7 = 63, which is close to 62]∴ 7 vans will be needed.
Answer:
7 vans
Step-by-step explanation:
Each van can take 62 people so you share the 62 among the vans, and each van is 9,therefore 62÷9=6.888889 and people cannot be in decimals so you round the figure to a whole number which is equal to 9.
Need some help with this..
Answer:
Step-by-step explanation:cevaplandıında banada haber verin rez kardeşlerim
the question is in the picture! i need help ASAP!
Answer:
The answer I think is
No points of intersectionStep-by-step explanation:
Evaluate each logarithm.
log₁₂ 144
The logarithmic equation log₁₂ 144 = 2
What is logarithmic equation ?In, mathematics a logarithmic equation is inverse of exponential equation. That means, we can easily convert the logarithmic equation into exponential equation and vice versa. The basic form of the logarithm function can be written as .
[tex]log_ax=N[/tex]
where, a is the base of function or equation
x define expression
Mathematically, if is an exponential function is [tex]a^N=x[/tex] then, this can be converted to logarithmic function as [tex]log_ax=N[/tex]
There are many formulas that are given to us for solving several simple and complex problems based on logarithmic functions and logarithmic equations.
According to statement,
log₁₂ 144
this can be written as ,
log₁₂ (12²)
= 2 log₁₂ (12)
= 2 . 1 (as, log a with base a = 1 )
= 2
Thus , log₁₂ 144 = 2
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Solve. Check for extraneous solutions. 2(x-1)⁴/₁+4=36
No extraneous solution to the equation
The equation is
2[tex](x - 1)^{4/1}[/tex] + 4 = 36
We have to find the extraneous solution of the equation and for this first, we need to find the value of x.
2[tex](x - 1)^{4}[/tex] + 4 = 36
2[tex](x - 1)^{4}[/tex] = 32
[tex](x - 1)^{4}[/tex] = 16
x - 1= 2
x = 3
Now we will put the value of x in the equation.
2[tex](3 - 1)^{4}[/tex] + 4 = 36
2 [tex]2^{4}[/tex] + 4 = 36
2 × 16 + 4 = 36
32 + 4 = 36
36 = 36
Therefore we get that there is no extraneous solution to the equation, x = 3 is the solution of the equation.
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Evaluate each logarithm.
log₅125
the answer to the given logarithm expression is log₃ 125 = 3
Another technique to explain exponents in mathematics is through logarithms. A base number's logarithm equals another number.
The power's inverse function is the logarithm. For instance, log10 100 = 2 if 102 = 100. A power to which a number must be increased in order to achieve another value is referred to as a logarithm.
This is the most practical method for displaying enormous numbers. Logarithms have several important properties that prove that multiplication and division of logarithms can be written in terms of addition and subtraction logarithms. A second name for the common logarithm is the base 10 logarithm.. This is represented as log10 or simply log. The base 10 logarithm is another name for the common logarithm. The common logarithm specifies the number of times the number 10 must be multiplied in order to produce the desired result.. We need to evaluate log₃ 125
Using the property
logₐ (mⁿ) = n logₐ m
125 = 5³log₃ 125 can be written as log₃ 125= 3 log₅ 5
We know that logₐ a = 13 log₅ 5= 3
Therefore, we calculated the logarithm, which is log₃ 125 = 3
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Which statement is true about the ray passing through points B and C?
Answer:
The ray extends infinitely in one direction.
Step-by-step explanation:
It starts at the point and the arrow at the ends mean it extends in that direction away from the point infinitely.