Answer:
Work it like a normal algebra problem to get ln x on one side. Then use a calculator or log tables.
Explanation:
Until you get to the actual logarithm the math is the same as for any algebra equation.
2
−
6
×
ln
(
x
)
=
10
;
−
6
ln
(
x
)
=
8
;
ln
(
x
)
=
−
(
4
3
)
NOW we take the antilog, inverse, or exponential of both sides:
e
ln
(
x
)
=
e
−
(
4
3
)
;
x
=
0.264
CHECK:
2
−
6
×
ln
(
x
)
=
10
;
2
−
6
ln
(
0.264
)
=
10
2
−
6
(
−
1.33
)
=
10
;
2
−
(
−
8
)
=
10
;
10
=
10
CORRECT!
In what form is an equation that relates two proportional quantities x and y? Explain your thinking.
Answer:
A proportional relationship exists between two values x and y when they can be expressed in the general form. Hope this helps
Step-by-step explanation:
PLS HELP!! Lin ran 2 3/4 miles in 2/5 of an hour, Noah ran 8 2/3 miles in 4/3 of an hour, How long would it take Lin and Noah to run 1 mile at that rate? PLS ANSWER!!
Answer:
Lin will run 1 mile in 8/55 of an hour
Noah will run 1 mile in 2/13 of an hour
Step-by-step explanation:
Here;
Lin ran 2 3/4 miles in 2/5 of an hour
he will run 1 mile in x hour
x * 2 3/4 = 2/5 * 1
2 3/4 = 11/4
x * 11/4 = 2/5
x = 2/5 * 4/11
x = 8/55 hour
For Noah
8 2/3 miles in 4/3 of an hour
1 miles in y hours
y * 8 2/3 = 4/3 * 1
y * 26/3 = 4/3
y = 4/3 * 3/26
y = 4/26 = 2/13
He will run 1 mile in 2/13 hours
Rachel is a veterinarian. She charges $20 as a base and $10 for each animal that she vaccinates.
Let x be the number of animals vaccinated and y be the total amount charged. Write the equation.
Answer:
Step-by-step explanation:
y = total number charged.
x = number of animals vaccinated.
If she charges $20 as a base, this means it is a constant value.
She also charges $10 for each animal vaccinated, this can be written as 10x.
Therefore the equation for the total number charged (y) can be written as:
Total amount charged = $20 + $10 for every animal vaccinated.
y = 20 + 10x
Raymond bought a box of candy bars for $5.25 and sells the candy for $0.75 each. Paul bought a box of candy bars for $8.75 and then sells the candy for $1.25 each. How many candy bars does each have to sell to have the same profit? Write an equation to match this scenario and then determine the solution.
Answer:
Step-by-step explanation:
Kaiwan sold 40 tickets for Young Baby Durk NBA for the Howard Homecoming concert. He sold general admission tickets for twenty dollars each and VIP tickets for thirty dollars each. He collected eight hundred and eighty dollars. How many of each kind of ticket did Kaiwan sell?
Answer:
number of general admission tickets sold = 32
Number of VIP tickets sold = 8
Step-by-step explanation:
Total Number of tickets = 40
Cost of general admission tickets = $20
Cost of VIP tickets = $30
Total revenue = $880
Let
x = number of general admission tickets sold
y = number of VIP tickets sold
The equations are:
x + y = 40 (1)
20x + 30y = 880 (2)
From (1)
x = 40 - y
Substitute x = 40 - y into (2)
20x + 30y = 880
20(40 - y) + 30y = 880
800 - 20y + 30y = 880
10y = 880 - 800
10y = 80
y = 80 / 10
= 8
y = 8
Substitute y = 8 into (1)
x + y = 40
x + 8 = 40
x = 40 - 8
= 32
x = 32
number of general admission tickets sold = 32
Number of VIP tickets sold = 8
In efforts of improving their orofit margins, a company is considering creating their own manufacturing plant for their product. It had a start-up cost of 25,000 to build the plant. This plant will drop the production cost down to $15 per item. If each item sells for $50, then how many items would it take to get an overall profit of $100,000 for the year?
Answer:
To get an overall profit of $100,000, then 3,571 items is needed to be produced
Step-by-step explanation:
Mathematically;
Profit = Revenue - Production cost
In the question, we are told that the profit we are expecting is $100,000
Let the number of items to be produced for sales be x items
Now let’s look at the production cost ;
The production cost will be number of items for sale * production cost = 15 * x = $15x
Now, we need to add the start-up cost to the production cost to get the total amount spent on production;
Mathematically the total amount would be = $25,000 + $15x
Let’s look at the revenue;
The revenue will be selling price of each item * price of each item;
Mathematically, that would be 50 * x = $50x
So therefore;
50x - (25,000 + 15x) = 100,000
50x -25,000 -15x = 100,000
35x = 100,000 + 25,000
35x = 125,000
x = 125,000/35 = 3571.42 which is approximately 3,571 items
Tickets to an amusement park cost $35 for adults and $20 for children. The equation 35x+20y=140 shows how many adults x and children y can visit the amusement park with $140. If no children go, how many adults can go to the amusement park with $140?
A)7
B)5
C)4
D)2
Answer: Four adults
Step-by-step explanation: 4 x 35 = 140. There are no children, so you can just ignore 20y (I hope this helps!)
If no children will go to the amusement park then a total of 4 adults can go to the amusement park for $140. Hence, option C is correct.
What is an equation?Equations are logical assertions in mathematics that have two algebraic expressions on either side of an equals (=) sign. The expression on the left and the expression on the right is shown to be equal in reference to one another. LHS = RHS (left hand side = right hand side) appears in all mathematical equations.
You can solve equations to determine an unknown variable's value, which corresponds to an unknown quantity. It is not an equation if there is no "equal to" sign in the statement.
The given equation is :
35x + 20y = 140
Cost of adults to go to the amusement park, (x) = $35 and,
Cost of children going to the amusement park, (y) = $20.
If no children are going to the amusement park, then the number of adults who can go to the park is :
35x + 20(0) = 140
35x = 140
x = 140/35
x = 4.
Hence, this concludes that option C is correct.
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what is 30 divided by 890
Answer: 0.0337
Step-by-step explanation:
Answer:
The answer is 3/89 as a fraction or 0.03370786517 as a decimal
Which number line shows the solution to -6 -(-2)
Answer:
2nd one
Step-by-step explanation:
Answer:
the first option
Step-by-step explanation:
-6 -(-2) can also mean -6+2 because the (-) in that equation can also mean -1, so a negative time a negative is a positive.
so, there is -6 and ur adding 2 to it, which is -4
Simplify: (-2x)4 help me with this!
The simplification of the given equation [tex](-2x)^4[/tex] is [tex]16 * x^4[/tex].
Exponents are mathematical notation used to indicate repeated multiplication of a number or expression by itself.
They are written as superscript numbers or symbols placed to the right and slightly above the base number or expression.
To simplify (-2x)^4, you can apply the power rule for exponents.
(-2x)^4 can be expanded as follows:
(-2x)^4 = (-2)^4 * x^4
Now, evaluate the exponent of the base -2 and x:
(-2)^4 = 16
Thus, the simplified expression is: [tex](-2x)^4 = 16 * x^4[/tex]
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Matrix elements... help
Answer:
12
Step-by-step explanation:
You go to the point a1,2 ant take out the cross that intersects there. you then find the determinant
[12 24 ]
[-4 -7 ]
12(-7) - (-4)(24)
-84-(-96)
-84+96=12
I hope this helps, not sure what the whole question or the directions where but this is what i got from what you gave me. good luck!
Which statement is false A the inequality sign alwats opens up to the largers number. B the greater number in the equality is always above the number on the vertical number line. C the smaller number is inequality is always located to the left of the other number on the horizontal number line. D inequality sign always open up to a smaller number
Answer:
D inequality sign always open up to a smaller number
Step-by-step explanation:
Hey guys can you help me?
Answer:
850
Step-by-step explanation:
2×400=800
2×20=40
2×5=10
800+40+10=850
what's the value for x makes this equation true 3/5 X-0.5=19
Answer:
what's the value for x makes this equation true 3/5 X-0.5=19 HERE YOU GO!!
Step-by-step explanation:
-5x - (-7 - 4x) = -2(3x - 4)
-5x + 7+ 4x = -6x + 8
-x + 7= -6x + 8
5x = 8 - 7
5x = 1
x = 1/5
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The value of x that makes the equation 3/5x - 0.5 = 19 true is 32.5.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x = 4 is an equation.
3x = 6 + 5 is an equation.
We have,
3/5x - 0.5 = 19
Add 0.5 on both sides.
3/5x = 19 + 0.5
3/5x = 19.5
Multiply 5/3 on both sides.
x = 19.5 x 5/3
x = 32.5
Thus,
The value of x that makes the equation 3/5x - 0.5 = 19 true is 32.5.
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distributive property to find the answer of 3 x 4 1/5
Answer:
the first step is to change the mixed fraction into an improper fraction so 4 and 1/5 will be 21/5 so then you question will be three times 21/5 and the answer is 12 and 3/5
Which statement correctly identifies a local minimum of the graphed function?
Over the interval [–3, –2], the local minimum is 0.
Over the interval [–2, –1], the local minimum is 2.2.
Over the interval [–1, 0.5], the local minimum is 1.
Over the interval [0.5, 2], the local minimum is 4.
Statement which is correctly identifies the local minimum of the graphed function is given by over the interval [tex][-1,0.5],[/tex] the local minimum is [tex]1[/tex].
What is graph?
" Graph is defined as the pictorial representation of the relation between the given variables on the coordinate plane along x-axis and y-axis."
According to the question,
Form the given graph of the function local minimum is given by
a. Over the interval [tex][-3, -2][/tex], the local minimum is [tex]0[/tex]:
From the graph value of y coordinate at [tex]x= -3[/tex] is closest to [tex]-6[/tex]. As per given statement local minimum is zero . [tex]-6 < 0[/tex]
At [tex]-2[/tex] closest to [tex]1[/tex] , [tex]1 > 0[/tex]
Therefore , local minimum [tex]=0[/tex] is not a correct option.
b. Over the interval[tex][-2, -1][/tex], the local minimum is [tex]2.2.[/tex]
From the graph at [tex]-2[/tex] closest to [tex]1[/tex] , [tex]1 \neq 2.2[/tex].
Moving from [tex]-2[/tex] to [tex]-1[/tex] graph is increasing . At [tex]-1[/tex] y - coordinate is equals to [tex]2[/tex].
Again [tex]2\neq 2.2[/tex]
Therefore, it is not a correct option.
c. Over the interval[tex][-1, 0.5][/tex], the local minimum is [tex]1[/tex]
From the graph at [tex]-1[/tex] closest to [tex]2[/tex] ,and keep on decreasing till [tex]x=0[/tex] .
From [tex]0[/tex] to [tex]0.5[/tex] graph keep on increasing.
At [tex]x= 0[/tex] value of y-coordinate is equals to [tex]1[/tex] , which represents the local minimum at [tex]x= 0[/tex] which is in the interval [tex][ -1, 0.5][/tex]
At [tex]x= -1[/tex] y- coordinate is equals to [tex]2[/tex]
At [tex]x= 0.5[/tex] y- coordinate is equals to [tex]2[/tex]
Local minimum [tex]= 1[/tex] at [tex]x=0[/tex]
Therefore, it is a correct option.
d. Over the interval [tex][0.5, 2],[/tex] the local minimum is [tex]4.[/tex]
In the given interval graph keeps on increasing [tex]1[/tex] to [tex]4[/tex] and so on.
It is not a correct option.
Hence, statement which is correctly identifies the local minimum of the graphed function is given by over the interval [tex][-1,0.5],[/tex] the local minimum is [tex]1[/tex].
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Which equation can be used to find V, the volume of the cylinder in cubic centimeters?
А
V = 7(3)h
B
V = *(3h)
CV = +(1.5)h
DV = +(1.5h)
3 (4x - 2) - 30 = -6 (6 - 2x) - 20
A.Infinite Solutions/Identity
B.No Solution
C.x = 0
D.x = 1
show work please
Answer:
B.
Step-by-step explanation:
3(4x-2)-30=-6(6-2x)-20
12x-6-30=-36+12x-20
12x-36=12x-56
Combine the terms that can be combined. Indicate the others in descending powers of x or a.
25ab + 6a^2 - 3b^2 + 6
2 3/8x3 3/7 please answer
Answer:
171/56
Step-by-step explanation:
convert the mix number to an improper fraction then calculate your income
Answer:
I think it would be 8 1/7 if im wrong im srry!
Step-by-step explanation:
2. Rena mixes i cup of blue paint for every cup of red paint to make purple paint.
Enter the number of cups of red paint Rena mixes with 1 cup of blue paint.
8x=-1/2 Whats the answer
I need help again sorry pls I’ll wait this time Bc I pressed similar question help me pls for 100 pts
Answer:
can u add the question so we can help?
Step-by-step explanation:
Which algebraic expression is equivalent to 7(3x + 12) + 12x - 16
Answer:
fhcchjgcdhj cell
uyyjfgwfyrrfascfavczffbczxvvsfcf
Perform the indicated operation.
(-7) · (-5)
-12
-35
12
35
Answer:
35
Step-by-step explanation:
A negative number multiplied by a negative number is positive. Multiplication is repeditive addition.
(-7) * (-5) = -(-7 + -7 + -7 + -7 + -7) or -( -5 + -5 + -5 + -5 + -5 + -5 + -5 ) = 35.
Answer:
35 is the answer I remember my brother telling me that two negitives always makes a positive no matter the symbol
Step-by-step explanation: 7 x 5 = 35 that is really all you have to do. but this is a random tip always remember that two negitives equal a positve also when you add positve to negitive it goes right so say you have -5 + 5 that would equal zero. when you add negitive and negitve numbers it will have a negitive sum
I need help a-sap! Please and thank you!!
Answer:
x = 80 degrees
Step-by-step explanation:
A straight line forms 180 degrees in total. It is given that the first angle is 100 degrees. 180 - 100 = 80, therefore x = 80 degrees
A cube has a volume of 125 cube inches. what is the length of each edge
Answer:
5 cubic in. would be the length of each edge.
Step-by-step explanation:
volume = length * width * heigh
125 = 5 * 5 * 5
Rewrite x5/6 divided by x1/6 in simplest radical form
four times a number p is more than 22
Answer:
[tex]4p\: > 22[/tex]
[tex]four \: times \: a \: number \: p \: is \: \\ more \: than \: 22[/tex]
The expression of inequality four times a number p is more than 22 is
4p > 22.
What is inequality?Inequality compares two non-equal terms of both sides of the inequality sign. There are four types of inequality.
Given statement four times a number p is more than 22.
As it is stated more than we have to form an inequality strictly greater than 22 which is,
4p > 22.
p > 22/4.
p > 5.5.
This number p can also be represented on a real number line with an open circle at 5.5 and extended to infinity.
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Me fus wants to raise 4.700 for her school. She meets this goal by selling 800 jars of maple syrup. How much did she make in profit for 1 jar sold?? Explain the answer
Answer:
5.87
Step-by-step explanation:
4,700 divided by 800=5.875