According to the question, to write the solution for the logarithmic function, the concept of indices is also needed.
Therefore, the given expression is [tex]3 ln x+2 ln y = ln5[/tex]
The values get multiplied in addition. Therefore, the above expression can be written as: [tex]ln(x^{3} )+ln(y^{2} )+ln5[/tex]
Expression = [tex]ln(x^{3} )+ln(y^{2} )+ln5[/tex]
Using logarithmic definition, we can write:
[tex]ln(x^{3} )+ln(y^{2} )+ln5\\ln(5x^{3} y^{2} )[/tex]
The solution for the given expression is [tex]ln(5x^{3}y^{2} )[/tex]
What is logarithmic function?
In terms of mathematics, the logarithmic function can be defined as the inverse of exponential function. It is always on the positive side of the ordinate axis.
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Kallie thinks that each double
problem will have an even sum.
Do you agree or not?
Since Kallie thinks that each double problem will have an even sum. in my response, it is Yes, I do not agree with her.
Why do i not agree with her?The reason why i agree with her is that the odds that is double will also give you an odd double and get an even double.
What happens when you double an odd number?An odd number is known to be one that be looked at as an even number and this is one that happens if one added to it .
For example 5 is 4+1.
Therefore, if you add two odd numbers together, there is the probability that a person may get an even number.
For example is 3 + 5 = 8
Therefore, Since Kallie thinks that each double problem will have an even sum. in my response, it is Yes, I do not agree with her.
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Given that a function, g, has a domain of -1 ≤ x ≤ 4 and a range of 0 ≤ g(x) ≤ 18 and that g(-1) = 2 and g(2) = 8, select the statement that could be true for g.
we can state that Option D may be accurate and true.
Assuming that the function, g, it has a domain of -1 ≤ x ≤ 4 and a range of 0 ≤ g(x) ≤ 18 and that g(-1) = 2 and g(2) = 8
Then the following properties must hold
1. The value(s) of x must be between -1 and 4
2. The values of g(x) must be between 0 and 18.
3. g(-1)=2
4. g(2)=9
We consider the options and state why they are true or otherwise.
A: g(5)=12
The value of x=5. This contradicts property 1 stated above. Therefore, it is not true.
B: g(1) = -2
The value of g(x)=-2. This contradicts property 2 stated above. Therefore, it is not true.
C: g(2) = 4
The value of g(2)=4. However by property 4 stated above, g(2)=9. Therefore, it is not true.
D: g(3) = 18
Given that its domain is between -1 and 4 and its range is between 0 and 18, this claim is reasonable.
Therefore, we can say that Option D can be true.
This question is incomplete
The provided options are:
Options
(A) g(5) = 12
(B) g(1) = -2
(C) g(2) = 4
(D) g(3) = 18
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if the point P(-4/5,y) lies on the unit circle and P is in the third quadrant, what does y equal
The value of y on the unit circle is y =-3/5
What is a circle?A circle is defined as the locus of a point such that it is equidistant from a fixed point.
The equation of a circle with center at the origin is given by x² + y² = r² where r = radius of circle
What is a unit?A unit circle is a circle with radius, r = 1.
So, the equation of a unit circle is x² + y² = 1
How to find the value of y on the unit circle?Given that the point P(-4/5, y) lies on the unit circle, and P is int he third quadrant, making y subject of the formula in the equation for unit circle, we have
y = ±√(1 - x²)
Substituting x = -4/5 into the equation, we have
y = ±√(1 - x²)
y = ±√(1 - (-4/5)²)
y = ±√(1 - 16/25)
y = ±√[(25 - 16)/25]
y = ±√[9/25]
y = ±3/5
Now, given that P is in the third quadrant, it implies that y is negative. so, y = -3/5
So, the value of y on the unit circle is y =-3/5
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Divide the following and then check by multiplying.
9043 +18
Find the mode for the distribution of scores in the following frequency distribution table.
The mode for the distribution of scores in the following frequency distribution table is 3, which is the second option.
What is mode?This is a term used in statistics to refer to the number of highest occurrence. Mode refers to the value that highest the number of frequency. In finding the mode, it is better to orderly arrange the given data to help see the value that occurs more frequently as this is the mode.
For the values given in the distribution of scores in the frequency distribution table the mode is three ( 3 ) and it is the second option
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What is the number of real roots of the equation
2 x²+3 x=-4 ?
There will be 2 roots of the equation 2 ( [tex]x^{2}[/tex] ) + 3 x = - 4 .
2 ( [tex]x^{2}[/tex] ) + 3 x = - 4 is a quadratic equation . This is because it has degree 2 . Degree is the power of variable which is maximum in function .
Since , x is the variable in this equation , therefore it's degree is 2 .
The no . of roots a polynomial will have is equal to the degree of polynomial .
Hence , the eq . will have 2 real roots .
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3cm
/8cm
please find the area of the circle on the outside . and write the formula please thank you !!
Make y the subject of this equation:
ty = a + k
Answer:
y = [tex]\frac{a+k}{t}[/tex]
Step-by-step explanation:
ty = a + k ( isolate y by dividing both sides by t )
y = [tex]\frac{a+k}{t}[/tex]
Answer:
[tex]\sf y =\dfrac{a+k}{t}[/tex]
Step-by-step explanation:
To make 'y' as the subject, isolate y by dividing both sides by t
ty = a + k
Divide both sides by t,
[tex]\sf \dfrac{ty}{t}=\dfrac{a+k}{t}\\\\[/tex]
[tex]\sf y = \dfrac{a +k}{t}[/tex]
What’s the unit rate for four pounds of bananas for $2.36
Answer:
$0.59/pound
Step-by-step explanation:
Since there are four pounds you divide $2.36 by 4 to get the unit rate.
simplify the following
Answer:B
Step-by-step explanation:
L. (4, 7); y = 3x + 6
y = 3x -5 is the equation of the line parallel to the line and going through the point (4,7). The format is slope intercept.
Slope intercept is what?A method of formulating a line's equation that makes it simple to identify the slope and y-intercept is known as the slope-intercept form. The point where the line crosses the y-axis is known as the y-intercept, and the slope refers to how steep the line is.
Using the information provided,
y= 3x – 5
First, we must keep in mind that parallel lines have an equal slope.
In essence,
m1 = m2 if line 1 and 2 are parallel.
Y = mx + c is the slope-intercept form of the equation; y = 3x + 6, which already has this form.
incline of the m1 = 3.
Consequently, m1 = 3 = m2.
The slope of the parallel line, m2 = 3 and the line passes through the point (4,7).
Therefore;
3 = (y - 7)/(x-4)
By cross product;
3x - 12 = y - 7
y = 3x - 5
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14 less than the quotient of 11 and a number
Answer:
(11/x) - 14
Step-by-step explanation:
(11/x) - 14 or 11 - 14x/x
Solve each equation. Check your answers.
ln (2 m+3)=8
After solving the equation In (2m + 3) = 8, the value of m is equal to 5/2.
How to solve an equation?To solve linear equations, utilize the steps that are provided below.
Remove parentheses from each side of the equation and combine similar terms to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The common denominator can be multiplied by each side of the equation to eliminate fractions.Lets take an example of solve z for 7z – (3z – 4) = 12
Here is no multiplication or division, so this will be easy to solve
⇒ 7z – (3z – 4) = 12
⇒ 7z – 3z + 4 = 12
⇒ 4z = 12 – 4
⇒ 4z = 8
⇒ z = 8/4
⇒ z = 2
See, that was so simple, using the mentioned methods, every linear equation can be solved easily.
We have been asked to find m in (2 m+3) = 8
⇒ (2 m+3) = 8
⇒ 2m + 3 = 8
⇒ 2m = 8 - 3
⇒ 2m = 5
⇒ m = 5/2
So, m is equal to 5/2 in (2 m+3) = 8
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the answer and work showing
[tex]\stackrel{mixed}{-6\frac{2}{7}}\div -\cfrac{8}{21}\implies -\cfrac{6\cdot 7+2}{7}\div -\cfrac{8}{21}\implies \stackrel{improper}{-\cfrac{44}{7}}\div -\cfrac{8}{21} \\\\\\ -\cfrac{44}{7}\cdot -\cfrac{21}{8}\implies \cfrac{(-44)(-21)}{(7)(8)}\implies \cfrac{924}{56}\implies \cfrac{33}{2}\implies {\LARGE \begin{array}{llll} 16\frac{1}{2} \end{array}}[/tex]
Rory records the percentage of battery life remaining on his phone throughout a day. The battery life decreases as Rory uses the phone, but will increase or stay at 100% while charging. The graph represents the percentage of battery life remaining after a certain number of hours.
A graph titled Phone Battery Life. The horizontal axis shows Elapsed Time (hours) numbered 2 to 20, and the horizontal axis shows Battery Life (%) numbered 10 to 120. A line begins at 100% in 0 hours, to 20% in 8 hours, to 100% from 10 to 12 hours, to 60% in 16 hours, to 100% from 17 to 20 hours.
At which times could Rory's phone have been plugged into the charger? Select three options.
6 hours
9 hours
11 hours
14 hours
19 hour
Answer:
9, 11, and 19
Step-by-step explanation:
9, 11, and 19 are the only plausible answers because there were only 2 periods where the phone was at 100% (other than when the graph started) and these are the only hours that fell within those periods..
Use the following setup and given equation to find your solution:
1st integer = x
2nd integer = x+2
3rd integer = x+4
Equation: x+(x+2)+(x+4)=267
Solve the equation above. What is the largest integer?
The largest integer in the set of number is 91
How to use the given equation to determine the largest integer?The given parameters are
1st integer = x2nd integer = x+23rd integer = x+4Equation: x+(x+2)+(x+4)=267So, we have
x+(x+2)+(x+4)=267
Open the brackets
x + x + 2 + x + 4 = 267
Evaluate the like terms
3x = 261
Divide both sides by 3
x = 87
Substitute x = 87 in 3rd integer = x+4
3rd integer = 87 + 4
Evaluate
3rd integer = 91
Hence, the largest integer is 91
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What is the value of the expression below when z = 5?
8z - 9
Answer: 31
Step-by-step explanation:
1. Replace z by 5, meaning that 8*5
2. Then, subtract 40 by 9 (8*5 = 40, 40-9 = 31)
Write each expression in simplest form. (x⁻⁴/₇)⁷
The given expression can be simplified by using rules of exponents.
There will be two rules applied, one for negative exponent and other for multiplication of exponents.
The expression can be solved by using either of the rules first. In this case, we will solve for the negative exponent first.
The base term x has a negative exponent of -4/7. The negative exponent rules states that the term with the negative exponent can be expressed in a reciprocal or reverse form without the negative sign.
In the general form, x^-a=1/x^a.
Applying the rule here,
(x^⁻⁴/₇)^7=(1/x^4/7)^7
Now multiplying the powers and simplifying,
(1/x^4/7)^7=1^7/x^(4/7)*7=1/x^4
The simplest form of the expression (x^⁻⁴/₇)^7 is 1/x^4
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Convert 168 pounds to kilograms. Use 1 kg = 2.2 lb.
Round your answer to the nearest tenth.
(……) kg
Answer:
about 76.36 kgis the answer
Step-by-step explanation:
168 divided by 2.2 is 76.36.
Help its A Math Question Please Help I am givng you 35 points for this question and a brainly crown if another person answers the question aswell thanks !
[tex]sum \: of \: interior \: angles = (9 - 2)180 = 1260 \\ one \: angle \: in \: th e\: nonagon = \frac{1260}{9} = 140 \\ x + nop = 180 \: (supplementary \: angles) \\ x + 140 = 180 \\ x = 180 - 140 \\ x = 40[/tex]
Simplify each radical expression. Use absolute value symbols when needed. 5√-64 x¹⁴ y²⁰
The rationalize of all denominators is [tex]40x^{14} y^{20} i[/tex]
We rationalize the denominator to make certain that it will become less complicated to carry out any calculation at the rational number. while we rationalize the denominator in a fraction, then we are eliminating any radical expressions inclusive of rectangular roots and dice roots from the denominator.
The distinction is that denial flat out says there may be no trouble whilst clarification is smarter, it justifies thoughts and behaviors on some different grounds in the try to convince Self and others that these minds and behaviors are not maladaptive, that they may be definitely adaptive.
The rationalize is a disavowal defense mechanism that permits an individual to address emotional conflicts, or inner or external stressors, via devising reassuring or self-serving however incorrect factors for his or her personal or others' mind, actions, or feelings, which cowl up different reasons (Perry 1990).
[tex]5 \sqrt{-64 x^{14} y^{20} }[/tex]
[tex]\sqrt{-64} = i8[/tex]
[tex]5i8x^{14} y^{20}[/tex]
[tex]40ix^{14} y^{20}[/tex]
[tex]40x^{14} iy^{20}[/tex]
= [tex]40x^{14} y^{20} i[/tex]
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After simplifying the radical expression 5 √(-64) x¹⁴ y²⁰, the result is 40 x¹⁴ y²⁰ i.
We are given the radical expression as:
5 √(-64) x¹⁴ y²⁰
We need to simplify the radical expression and find the value of the expression.
Now, we will first simplify the term √(-64)
We know that:
√(-64) = √( - 1 × 8 × 8 )
= 8 √ -1
Using the properties of complex numbers, we get that:
√ - 1 = i
= 8 i
Putting it in the expression, we get that:
= 5 ( 8 i ) x¹⁴ y²⁰
= 40 x¹⁴ y²⁰ i
Therefore, we get that, after simplifying the radical expression 5 √(-64) x¹⁴ y²⁰, the result is 40 x¹⁴ y²⁰ i.
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Identify the terms, coefficients, and constants in the expression.
5c2+7d
Answer:
the coefficient is 5 and 7 the constant is 2
Simplify 3.42 + (−5.6). 39.8 9.02 −2.18 −3.98
Answer: c 2.18
Step-by-step explanation:
pray to god that its right
Which three relations are functions? Select all correct answers
Answer: what am i supposed to choose from?
Step-by-step explanation:
Hey, so I need to find the y-intercept, the slope, and the equation for it. Help please
Answer:
f= 1.3s - 8.7
Step-by-step explanation:
Slope is M
M = 1.3 feet per second
y=mx+ b your b= 8.7ft
your equation is
f= 1.3s - 8.7
Write each expression as a single natural logarithm. ln 18-ln 10
Expression as a single natural logarithm of equation ln 18-ln 10 is = 0.5877866649.
What is natural logarithm?ln 18-ln 10
= [tex]ln (18/10)[/tex]
= ln 1.8
= 0.5877866649
The inverse of an exponential function, the natural log is the logarithm to the base of the number e. Natural logarithms are unique varieties of logarithms that are employed in the treatment of time and growth-related issues.
The distinction between log and ln is that log is expressed in terms of base 10, while ln is expressed in terms of base e. As an illustration, log of base 2 is denoted by log2 and log of base e by loge = ln (natural log).
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Can y’all pls give me the answers
Answer:
A:0.11 B:I can't a diagram in here
Complete the solution of the equation. Find the value of y when x equals -13. -3x+9y=57
Answer:
y = 2
Step-by-step explanation:
- 3x + 9y = 57 ← substitute x = - 13 into the equation
- 3(- 13) + 9y = 57
39 + 9y = 57 ( subtract 39 from both sides )
9y = 18 ( divide both sides by 9 )
y = 2
Answer: y is 2
solved it with a calculator.
Family Dinner Combinations A family special at
a neighborhood restaurant offers dinner for four for
$39.99. There are 3 appetizers available, 4 entrees, and
3 desserts from which to choose. The special includes
one of each. Represent the possible dinner combinations
with a tree diagram.
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The number of dinner combinations that will be represented in the Tree Diagram is 36.
What is a Tree Diagram?A tree diagram is a new management planning tool that depicts the hierarchy of tasks and subtasks needed to complete and objective. The tree diagram starts with one item that branches into two or more, each of which branch into two or more, and so on. The finished diagram bears a resemblance to a tree, with a trunk and multiple branches.It is used to break down broad categories into finer and finer levels of detail. Developing the tree diagram helps you move your thinking step by step from generalities to specifics.
Given that a neighborhood restaurant offers dinner for four for
$39.99 which includes
Three types of appetizers =(a1,a2,a3)
Four types of entrees = (e1,e2,e3,e4)
3 types of desserts = (d1,d2,d3)
Therefore, we can conclude the Number of combinations = 3*4*3=36
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What is the answer to -10+7 and how do you solve it
Answer:
-3
Step-by-step explanation:
[tex](-a) + (+b) = -c\\= -10 + 7\\= -3[/tex]