Answer:
To solve this equation, we first need to isolate the ln term on one side of the equation. To do this, we can subtract ln 4 from both sides to get:
ln 4 - ln x - ln 4 = 2 - ln 4
This simplifies to:
-ln x = 2 - ln 4
Next, we can add ln 4 to both sides to get:
-ln x + ln 4 = 2
This simplifies to:
ln 4 - ln x = 2
Now, we can apply the identity ln a - ln b = ln(a/b) to both sides of the equation to get:
ln(4/x) = 2
To solve for x, we can apply the inverse logarithm function (exp) to both sides:
4/x = exp(2)
This simplifies to:
x = 4/exp(2)
Finally, we can evaluate this to get the value of x:
x = 4/exp(2) = 4/7.38905609893065
So the solution is x = 4/7.38905609893065.
Step-by-step explanation:
Jose has a points card for a movie theater.
• He receives 50 rewards points just for signing up.
• He earns 3.5 points for each visit to the movie theater.
• He needs at least 85 points for a free movie ticket.
Write and solve an inequality which can be used to determine x, the number of visits
Jose can make to earn his first free movie ticket.
Answer:
x ≥ 10
Step-by-step explanation:
Total Points = 50 + 3.5x
Total Points ≥ 85
50 + 3.5x ≥ 85
3.5x ≥ 35
then divide both sides by 3.5
x ≥ 10
hich are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
The correct representations of the inequality are
-6x + 15 < 10 - 5x
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
Solving inequality and determining the correct representationsFrom the question, we are to determine the correct representations of the inequality
From the given information,
The given inequality is
-3(2x - 5) < 5(2 - x)
To determine the correct representations, we would proceed to solve the inequality
Solving the inequality
-3(2x - 5) < 5(2 - x)
-6x + 15 < 10 - 5x
This is one of the representations of the inequality
Then,
Collect like terms
-6x + 15 < 10 - 5x
-6x + 5x < 10 - 15
-x < -5
Multiply through by -1
x > 5
If the solution is represented on a number line, we would have a number line from negative 3 to 3 with an increments of 1 and an open circle at 5 and a bold line starts at 5 and is pointing to the right.
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elijah used 3/4 of the memory on his cell phone memory card if the memory card can hold 32 gigabytes how many gigabytes did elijah used
Elijah used 24 gigabytes memory on his cell.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Elijah used 3/4 of the memory on his cell phone memory card.
And, The memory card can hold 32 gigabytes.
Now,
Since, The memory card can hold 32 gigabytes.
And, She used 3/4 of the memory on his cell phone memory card.
Hence. The used memory = 3/4 of 32
= 3/4 × 32
= 3 × 8
= 24 gigabytes
Thus, Elijah used 24 gigabytes memory on his cell.
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In 2014 a company had a profit of $420000. In 2019 it reported a profit of $1400000.
Find the average rate of change of its profit for that period, expressed in dollars per year.
Please help will mark
Answer:
this is the graph and just find the slope each equation
Draw a diagram of x + 2, and a separate diagram of 3x, when x is 2.
The graph of the equation x + 2 would be a straight line that starts at the point (-2, 0) and goes up 2 units on the y-axis. So, the line would pass through the point (0,2) and would be parallel to the x-axis.
The graph of the equation 3x when x is 2 would be a straight line that starts at the point (0,0) and goes up 6 units on the y-axis for each 1 unit on the x-axis. So, the line would pass through the point (2,6) and would have a slope of 3.
What is diagram in mathematics?In mathematics, a diagram is a visual representation of mathematical concepts or ideas. Diagrams can take many forms, such as graphs, charts, illustrations, and figures, and can be used to help explain or understand mathematical concepts.
For example, a graph is a type of diagram that is used to represent the relationship between two variables. It is commonly used in algebra and calculus to show the relationship between an independent variable (x-axis) and a dependent variable (y-axis).
A chart is a type of diagram that is used to organize and present data. It is commonly used in statistics to show the distribution of data or to compare different sets of data.
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DUE SOON! PLEASE HELP!
SHOW ME HOW TO GET IT FOR NEXT TIME! SO CONFUSED AND BEEN STUCK FOREVER PLEASE HELP!
QUESTION DOWN BELOW!
The value of m in the given equation 4x² -mx +9 will be 13.
What is polynomia?A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics. Polynomials come in various varieties. Monomial, binomial, and trinomial, respectively.
given an equation 4x² -mx + 9 = 0 and the question states that it has a root that is equal to 1
Since 1 is the root of this quadratic equation it will satisfy the equation
Substituting the values in the equation
4 - m + 9 = 0
m = 13
Therefore, In the given equation 4x² -mx +9 the value of m will be 13.
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Determine the value of x.
A) 2√3 B) 6√3 C) 12 D) 12√3
Multiply: (–4 + i)(2 – 3i)
a. –5 – 10i
b. –8 + 11i
c. –5 + 14i
d. –11 + 14i
The result of the product of the given complex numbers as required to be determined is; Choice C; -5 + 14i.
What is the product of the given complex numbers?It follows from the task content that the result of the product of the given complex numbers is to be determined.
On this note, since the required product to be evaluated is; (–4 + i) (2 – 3i).
We can therefore multiply as follows;
-8 + 12i + 2i - 3i².
However, it is noteworthy to know that; i² = -1.
Hence, we have that;
-8 + 14i + 3
= -5 + 14i
On this note, it follows that the result of the product of complex numbers as required is; -5 + 14i.
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evaluate 6²-2(5+1+3)
Answer:
18
Step-by-step explanation:
36-10-2-6
26-8
18
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{6^2 - 2(5 + 1 + 3)}\\\mathsf{= 6^2 - 2(5) - 2(1) - 2(3)}\\\mathsf{= 6^2 - 10 -2(1) - -2(3)}}\\\mathsf{= 6\times 6 - 10 - 2(1) - 2(3)}\\\mathsf{= 36 - 10 - 2(1) - 2(3)}\\\mathsf{= 26 - 2(1) - 2(3)}\\\mathsf{= 26 - 2 - 2(3)}\\\mathsf{= 24 - 2(3)}\\\mathsf{= 18}[/tex]
[tex]\huge\text{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{18}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
PLEASE HURRY I WILL GIVE BRAINLY PLEASE HURRY
In triangle LMN, m∠L = (4c + 53)°. If the exterior angle to ∠L measures 87°, determine the value of c.
c = 87
c = 8.5
c = 35
c = 10
Answer:c=35
Step-by-step explanation:
i just did this
A scientist uses a submarine to study ocean life.
She begins at sea level, which is an elevation of 0 feet.
She travels down 4.2 feet.
She then travels directly up 3.4 feet.
Next, she descends a second time, 10 feet.
Answer:
Below
Step-by-step explanation:
0 ft -4.2 + 3.4 - 10 = -10.8 ft or 10.8 ft below the surface
What are the answers
Answer:
Rate of change= 1/3
Initial value = -4
Step-by-step explanation:
The rate of change is rise/run = 1/3.
the initial value is the y-intercept which is -4.
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below
[tex](\stackrel{x_1}{-6}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-3}-\stackrel{y1}{(-6)}}}{\underset{\textit{\large run}} {\underset{x_2}{3}-\underset{x_1}{(-6)}}} \implies \cfrac{-3 +6}{3 +6} \implies \cfrac{ 3 }{ 9 } \implies \cfrac{1 }{ 3 }[/tex]
now as far as the "initial value", dunno what that means.
The start of the line? well, the line by definition goes to infinity both ways.
the y-intercept? well, just look at the graph, the graph intercepts the y-axis when x = 0 and y = -4, so at (0 , -4).
A blue rope is 3 times as long as a red rope. A green rope is 4 times as long as the blue rope. If the total length of the three ropes is 563.84 meters, what is the length of the blue rope?
Answer:
105.72 meters
Step-by-step explanation:
We can set up a system of equations to represent the information given in the problem, and then use algebra to solve for the length of the blue rope. Let x be the length of the red rope.
According to the problem statement:
blue rope = 3 * red rope = 3x
green rope = 4 * blue rope = 4 * 3x = 12x
we know that:
red rope + blue rope + green rope = 563.84
x + 3x + 12x = 563.84
then we can solve for x:
16x = 563.84
x = 35.24
So the length of the red rope is 35.24 meters.
The length of the blue rope is 3x = 3 * 35.24 = 105.72 meters.
-15 POINTS-
Don’t explain.
Y=[?]
Step-by-step explanation:
of course I need to explain it, since you don't know how to get it. that is the purpose of Brainly. not to be a calculator slave to you, but to enable you to solve similar problems on your own in the future.
both shapes are similar.
that means that
1. both have the same angles
2. there is one common scaling factor for all pairs of corresponding sides (and other lengths as heights, ...).
we need 2. here to solve.
AB / EF = f = 3/2
x = AD
x / EH = f = 3/2
x / 2.4 = 3/2
x = 2.4 × 3/2 = 7.2 / 2 = 3.6
can someone help me please i really have to do this right now
Answer: Angles 2 and 4 = 38, Angle 1 = 142
Step-by-step explanation:
Given that angle 3 is equal to 142, the angle between 2 and 3 has to add up to 180. 142 + 38 = 180. The same applies for angle 4 and 3. So, angle 1 + angle 2 has to add up to 180. We already know angle 2, so now we just have to subtract that from 180 to find angle 1.
Someone HELPPppp for tmr
Answer:
y=1x-6
Step-by-step explanation:
First we find the slope by using rise over run. So you can either count up and over(rise/run) or use the slope formula y2-y1/x2-x1. You will find that the slope is 1, so plug that into the equation for mx. So we have y=1x so far. Then we find the y-intercept by looking where the graph intersects the y-axis. As you can see it intersects at -6, so plug -6 into the equation for b. No we have our full equation of y=1x-6.
-Hope this helped
Show that 20 subtracted by O is 20, using at least four daily life examples
Answer:Sure! Here are four daily life examples where 20 subtracted by 0 is equal to 20:
1. You have 20 pieces of fruit in a basket, and you take 0 pieces of fruit out of the basket. You are left with 20 pieces of fruit in the basket.
2. You have 20 minutes left on your parking meter, and you add 0 more minutes to the meter. You still have 20 minutes left on the meter.
3. You have 20 dollars in your wallet, and you spend 0 dollars. You still have 20 dollars in your wallet.
4. You have 20 pages left to read in a book, and you haven't read any additional pages. You still have 20 pages left to read.
What is the major theme and minor theme in “Arachne and the weaving contest”
The central theme of Arachne is human limitation and hubris.The center of the ellipse is located midway between the foci .
What is major axis ?The center of the ellipse is located midway between the foci. The minor axis is the line segment going through the center and perpendicular to the major axis, with both endpoints on the ellipse. The length of the ellipse's major axis is equal to the bigger of 2a or 2b, while the length of its minor axis is equal to the smaller. The major axis, which is the largest distance between any two points on the ellipse, is the line that connects both foci and runs from one end to the other. The minor axis, which is the shortest path between two points on the ellipse, is the line that passes through the center of the major axis in a perpendicular direction.
given
The central theme of Arachne is human limitation and hubris. Arachne, a young girl who is a remarkably gifted weaver, thrives on the adulation of her customers.
As a result of her youth and inexperience as well as her awareness of her exceptional talents, Arachne eventually boasts that her weaving is even greater than Athena's.
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When Bashir commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 32 minutes and a standard deviation of 3 minutes. What percentage of his commutes will be shorter than 32 minutes, to the nearest 10th?
A percentage of Bashir's commute that would be shorter than 32 minutes, to the nearest 10th is 50%.
How to determine the required percentage?Mathematically, the z-score of a given sample size or data set can be calculated by using this formula:
Z-score, z = (x - μ)/σ
Where:
x is the sample score.σ is the standard deviation.μ is the mean score.Substituting the parameters into the z-score formula, we have;
Z-score, z = (32 - 32)/3
Z-score, z = 0/3
Z-score, z = 0
Since a commute of 32 minutes on a test has a z-score of 0, the percentage of Bahir's commute that would be shorter than 32 minutes can be calculated as follows:
P(x > 32) = P(z > 0)
P(z > 0) = 0.5
P(z > 0) = 50%.
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Need Help With This
Step-by-step explanation:
a) x+20+x+90=180 [sum of 3 angel of triangle]
2x + 110 = 180
2x = 180- 110
2x = 70
x = 70÷2
x = 35
b) 2y + y + y = 180
4y = 180
y = 180÷4
y= 45
c) 4z-30 + 2z = 180
6z = 180 + 30
6z = 210
z = 35
Ln 4 - Ln x = 2
Solve for x showing all steps. Round to the nearest hundredth.
Please give step by step instruction
I need the answer to this question
Answer:
it is not factorable
Step-by-step explanation:
There are no factors of 24 that will make -4, so it is not factorable
any help? please make sure it's correct thank you
Answer:
y = - [tex]\frac{1}{2}[/tex] x + 6
Step-by-step explanation:
The slope will be perpendicular to equation through A and B because of the 90 degree angle at B.
Lines that are perpendicular have opposite reciprocal slopes.
The slope of the line we know is 2 (The slope is the number before the x). The opposite reciprocal is -[tex]\frac{1}{2}[/tex].
Now that we have the slope we need a point on the line. They give us that point at (0,6) We will use the y value of 6 and the x value of 0 from the point given to find the y-intercept.
slope (m) = - [tex]\frac{1}{2}[/tex]
y = 6
x = 0
We will substitute all of this information into y = mx + b to solve for b (y-intercept)
y = mx + b
6 = - [tex]\frac{1}{2}[/tex] (0) + b
6 = b
Now that we have the slope (- [tex]\frac{1}{2}[/tex]) and the y-intercept (6) we can write the equation
y = - [tex]\frac{1}{2}[/tex] x + 6
Answer:
y = - [tex]\frac{1}{2}[/tex] x + 6
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c m is the slope and c the y- intercept )
y = 2x + 1 ← is in slope- intercept form
with slope m = 2
BC is perpendicular to AB
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{BC}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{2}[/tex]
the line BC has point C at (0, 6 ) ⇒ c = 6
y = - [tex]\frac{1}{2}[/tex] x + 6 ← equation of line BC
Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g. A. g(7) = -1 B. g(-4) = -11 C. g(0) = 2 D. g(-13) = 20
Answer: B
Step-by-step explanation:
The perimeter of a rectangle is 408cm and the length is 134cm. Find the rectangle’s width.
Answer: 70 cm
Step-by-step explanation: perimeter = 2*width + 2*length
408 = 2*width + 2*134
408 = 2*width + 268
Subtract 268 from both sides.
140 = 2*width
DIvide both sides by 2
Width = 70 cm
Answer:
The width of the rectangle is 70 cm
Step-by-step explanation:
Given,
The perimeter of a rectangle is 408 cmThe length is given as 134 cmTo Find : The width of the rectangle
As we know, the formula to find the Perimeter of the rectangle is
[tex]P = 2(l+b)[/tex]
Now the Perimeter is given and the length
[tex]408 = 2(134 + b)[/tex]
Now using distributive property
[tex]408 = 268 + 2b[/tex]
[tex]408 - 268 = 2b[/tex]
[tex]140 = 2b[/tex]
[tex]\frac{140}{2} = b[/tex]
[tex]70cm = b[/tex]
Hence, the width of the rectangle is 70 cm
.
The table shows the number of pools sold by the Allied Pool company over a six month period.
Allied Pool Sales
Month
Number of
Pools Sold
Feb.
11
Mar.
10
Apr.
12
May
16
June
15
July
18
According to the above table, what was the average number of pools sold per month during this period? Round to the nearest tenth if necessary.
According to the table, the average number of pools sold per month during this period is 14 (to the nearest tenth)
What is average?It is defined as the ratio of summation of all the data to the number of units present in the list. It can also be the middle value, calculated by dividing the total of all the values by the number of values.
The average can also be defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.
It is represented mathematically as;
Average = Sum of Values/Number of Values
Average = total swimming pools sold in six months / number of months
Average = (11 + 10 + 12 + 16 + 15 + 18) / 6
Average = 82/6
Average = 13.7
Average = 14 (to the nearest tenth)
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Suppose you have fewer than 10 place value blocks. How many different ways could you show 1214?
Answer:
To show 1214 using place value blocks, you would need at least 4 blocks: one thousand block, two hundred blocks, one ten block, and four ones blocks. If you have fewer than 4 blocks, it is not possible to show 1214 using place value blocks.
If you have exactly 4 blocks, you can show 1214 in only 1 way: using 1 thousand block, 2 hundred blocks, 1 ten block, and 4 ones blocks.
If you have exactly 5 blocks, you can show 1214 in 2 ways: using 1 thousand block, 2 hundred blocks, 1 ten block, and 4 ones blocks, or using 2 thousand blocks, 1 hundred block, 2 ten blocks, and 4 ones blocks.
If you have exactly 6 blocks, you can show 1214 in 3 ways: using 1 thousand block, 2 hundred blocks, 1 ten block, and 4 ones blocks, using 2 thousand blocks, 1 hundred block, 2 ten blocks, and 4 ones blocks, or using 1 thousand block, 1 hundred block, 3 ten blocks, and 4 ones blocks.
Therefore, if you have fewer than 10 place value blocks, you can show 1214 in 3 different ways.
4/9 dividend by 2/3 =
Please help!!!will give brainlest
Answer:
2/3
Step-by-step explanation:
4/9 divided by 2/3 = 4/9 times 3/2
= 2/3
2. What are the domain and range for the exponential parent function,
where b is a positive real number not equal to 1 and a > 0?
On solving the provided question, we can say that - the value of the given polynomials domain will be ( - infinity, 0)
what is domain?The range of values a function may accept is referred to as its domain. These numbers represent the x-values of a function like f. (x). The range of values that a function may operate on is referred to as its domain. The value that the function returns following the insertion of the x value is this set. A function containing the independent variable x and the dependent variable y is said to be y = f(x). A value of x is said to be in the domain of a function f if it can be used to successfully create a single value y utilizing the value of x for that purpose.
domain will be ( - infinity, 0)
range = (-infinity, +infinity)
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