Answer:
1. 13 As there are 13 points indicating there are 13 students 2. 39.
Step-by-step explanation:
How would you write the following expression as a single term?
Using logarithm properties, the expression written as a single term is:
[tex]\ln{\left(\frac{(x - 1)^6(x+1)}{x^3}\right)}[/tex]
What is the expression and how the write it as a single term?Researching the problem on a search engine, the expression is given by:
3[2ln(x - 1) - ln(x)] + ln(x + 1).
Applying the distributive property, we have that:
6ln(x - 1) - 3ln(x) + ln(x + 1).
Applying the exponential property of logarithms, we have that the expression is:
[tex]\ln{(x - 1)^6} - \ln{(x)^3} + \ln{(x + 1)}[/tex]
The adding terms can be placed inside multiplying, the subtracting dividing, hence:
[tex]\ln{(x - 1)^6} - \ln{(x)^3} + \ln{(x + 1)} = \ln{\left(\frac{(x - 1)^6(x+1)}{x^3}\right)}[/tex]
Hence the expression written as a single term is:
[tex]\ln{\left(\frac{(x - 1)^6(x+1)}{x^3}\right)}[/tex]
More can be learned about logarithm properties at https://brainly.com/question/25710806
#SPJ1
6x-11=180-155
Solve for x
(I need steps too, I’m confused)
Answer:
[tex] \sf \large \: x=6[/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
6x−11=180−155
Step 1: Simplify both sides of the equation.
6x−11=180−155
6x+−11=180+−155
6x−11=(180+−155)(Combine Like Terms)
6x−11=25
6x−11=25
Step 2: Add 11 to both sides.
6x−11+11=25+11
6x=36
Step 3: Divide both sides by 6.
6x/6 = 36/6
x=6
if angle a and angle b are supplementary angles and m∠a=x, which expressions represents the number of drgress in angle B? x-180, 180-x, x-90, 90-x
m∠b = 180° - x
That is the expression that represents the number of degrees of angle b.
Which expressions represent the number of degrees of angle B?
Two angles A and B are supplementary only if their measures add up to 180 degrees.
Then we can write the simple equation:
m∠A + m∠B = 180°
In this case, we know that we have two angles a and b that are supplementary, and the measure of angle a is equal to x, where x is a variable, then using the above equation we can write:
m∠a + m∠b = 180°
Replacing the measure of angle a by the variable we get:
x + m∠b = 180°
Solving this for the measure of angle b we get:
m∠b = 180° - x
That is the expression that represents the number of degrees of angle b.
If you want to learn more about supplementary angles:
https://brainly.com/question/2046046
#SPJ1
6x - 3y = -6
what is the step by step and the answer.
Answer: y=2+2x
Step-by-step explanation:
Subtract 6x from both the sides.
Divide both the sides by -3.
Thus, the value of the equation for y is .
2/9( 9/4x - 9)
Simplify
The simplified expression of the given Linear expression is [tex]\frac{x}{2} - 2[/tex]
As per the question statement, we are supposed to find out the simplified expression of the given Linear expression [tex]\frac{2}{9} (\frac{9x}{4} -9)[/tex]
Before solving this, we need to be clear about the algebraic expressions basics and integers operations and how we can deduce an algebraic expression into its simplest form.
[tex]\frac{2}{9} (\frac{9x}{4} -9)\\=\frac{2}{9}(\frac{9x-36}{4} )\\=\frac{9x-36}{2*9} \\=\frac{9x}{18} - \frac{36}{18} \\=\frac{x}{2} -2[/tex]
Hence [tex]\frac{x}{2} - 2[/tex] is the simplified expression of the given Linear expression.
Linear expression: A linear expression is any algebraic expression in which each term is either a constant or is a variable raised to the some power.
To learn more about Linear expression, click on the link given below:
https://brainly.com/question/953809
#SPJ9
? Question
Which expression is equivalent to this expression?
(-5cd-4)(2cd²)²
O-20c³
O-10c²d-16
-20c²d-16
O-10c³
Submit
The equivalent expression for the expression (-5cd-4)(2cd²)² is - 20c³d⁵ - 16c²d⁴.
A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression. Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Consider the expression,
(-5cd - 4)( 2cd²)²
Now let x = (-5cd - 4)( 2cd²)²,
Then,
x = (-5cd - 4)( 2cd²)²
x = ( - 5cd -4 ) × (2c)² × (d²)²
x = ( - 5cd - 4) × ( 4c² ) × d⁴
x = ( -5cd - 4 ) × 4c²d⁴
Using the distributive property,
x = ( - 5cd ) × ( 4c²d⁴ ) - 4 × 4c²d⁴
x = - 20 × c³ × d⁵ - 16 × c²d⁴
x = - 20c³d⁵ - 16c²d⁴
Therefore, the equivalent expression of (-5cd-4)(2cd²)² is - 20c³d⁵ - 16c²d⁴.
Learn more about equivalent expression here:
https://brainly.com/question/14507158
#SPJ9
Solve 0=4+q
Which statement shows the correct justification for the step used to solve the
equation?
O Add 0 to each side.
O Add 4 to each side.
O Subtract 0 from each side.
Subtract 4 from each side.
The statement shows the correct justification for the step used to solve the equation 0=4+q is "Subtract 4 from each side"
Given,
The equation 0=4+q
To solve the equation we have to subtract 4 from each side, then we will get the value of q
0=4+q
0-4=4+q-4
-4=q
So we have to subtract 4 from each side
Hence, The statement shows the correct justification for the step used to solve the equation 0=4+q is "Subtract 4 from each side"
Learn more about equation here
brainly.com/question/10413253
#SPJ1
can you help? [tex]5\sqrt{-27}[/tex]
Answer:
[tex]15\sqrt{3}i[/tex]
Step-by-step explanation:
Negative square roots are complex numbers.
Which of the following variables can be classified as categorical?
A. Height
B. Weight
C. Gender
D. Age
Believe "A" would be correct.
Answer:
Step-by-step explanation:
I believe that it would be C. Gender
this is because someones Height, weight, and age doesn't really matter when you are signing up for something, or applying for a job. But back in the old days, you gender was crucial to what priveleges you were allowed.
This is just my opinion, feel free to call me out if I'm wrong!
Hope this helps!^^
when abby was young her father marked her height on the door frame every month. abby’s father noticed that between the ages of one and three, he could predict her height (in inches) by taking her age in months, adding 75 inches and multiplying the result by one-third. determine her predicted height on her second birthday.
The predicted height on Abby's second birthday is 33 inches
Calculating height
From the question, we are to determine Abby's predicted height on her second birthday
From the given information,
Abby's father could predict her height (in inches) by taking her age in months, adding 75 inches and multiplying the result by one-third
On her second birthday,
Abby is 2 × 12 months = 24 months old
Thus, her height on her second birthday is
(24 + 75) × 1/3
= 99 × 1/3
= 33 inches
Hence, the predicted height on Abby's second birthday is 33 inches
Learn more on Calculating height here: https://brainly.com/question/13739916
#SPJ4
Please answer the circled questions! (And also part a and b)
A. When Steven buys 2.32 pounds of trial mix and 4.64 pounds of dry fruit, the cost is $27.84.
B. When Mario got $0.40 in change from buying trail mix The pounds bought will be 5.6 pounds.
How to illustrate the information?A. It should be noted that Steven buys 2.32 pounds of trial mix and 4.64 pounds of dry fruit. The cost will be:
= (2.32 × $3.50) + (4.64 × $4.25)
= $8.120 + $19.72
= $27.84
B. From the information, Mario got $0.40 in change from buying trail mix The pounds bought will be:
20 - 3.50x = 0.40
3.50x = 20 - 0.40
3.50x = 19.60
x = 19.60 / 3.5
x = 5.6 pounds.
Learn more about cost on:
brainly.com/question/25109150
#SPJ1
6−2(8−x)=2x−10 don't get it
Answer: 0 = 0
Step-by-step explanation: Rearrange terms: 6-2 ( -x+8 ) = 2x -10
Distribute: 6 + 2x - 16 = 2x - 10
Subtract 6 and 16: -10 + 2x = 2x - 10
Rearrange terms: 2x - 10 = 2x -10
Add ten to both sides: 2x - 10 + 10 = 2x - 10 + 10
Simplify: 2x = 2x
Subtract 2x from both sides: 2x - 2 = 2x - 2
Simplify: 0 = 0
Hope that helps!
PLEAS HELP ME. HELP ILL GIVE U BRAINLIST AND 100 POINTS.
Answer:
b) (-3)⁶/(-3)⁴
Step-by-step explanation:
Given that,
→ (-3)⁴/(-3)²
→ 81/9 = 9
Then the equivalent expression is,
→ (-3)⁶/(-3)⁴
→ 729/81 = 9
Hence, option (b) is correct.
Lines x and y intersect to form adjacent angles 2 and 3 . If m ∠2=3 a-27 and m∠3=2 b+14, find the values of a and b so that x is perpendicular to y.
Using the perpendicularity concept, the values of a and b so that x is perpendicular to y are: a = 39º, b = 38º.
What are perpendicular lines?Two lines are perpendicular if when they intersect two angles of 90º are formed.
Hence, the condition for this problem is given by:
m<2 = 90º.m<3 = 90º.From condition 2, the value of a is found as follows:
3a - 27 = 90º
3a = 117º
a = 117/3
a = 39º.
From condition 3, the value of b is found as follows:
2b + 14 = 90º
2b = 76º
b = 76/2
b = 38º.
More can be learned about perpendicular lines at https://brainly.com/question/1202004
#SPJ1
Find the measure of the indicated angle.
Answer:
Angle FDG is 42°
Step-by-step explanation:
the whole angle GDE is an obtuse angle (greater than 90° but less than 180°), but a line is drawn at the middle to split it into 2.Each will be an acute angle.This means our answer must be acute.Mathematically ,
x+86=128
X=128-86
X=42°
to be sure,when an obtuse angle is split into two angles,it becomes 2 acute angles.
Which angles of rotation will map the figure onto itself? List them all. Explain your reasoning and/or show your work.
The angles of rotation will map the figure onto itself are 60, 120, 180....
How to deternine which angles of rotation will map the figure onto itselfIn geometry, transformation involves changing the angle, position and/or size of a shape.
The given parameter is the shape in the figure
From the figure, we can see that the shape has 6 congruent sides
This means that the shape is a regular hexagon
The angle of rotation will map the figure onto itself is calculated as
Angle = 360/Number of sides
So, we have
Angle = 360/6
Evaluate
Angle = 60
The other angles must be a multiple of 60
i.e. 60, 120, 180....
Hence, the angles of rotation will map the figure onto itself are 60, 120, 180....
Read more about angles of rotation at
https://brainly.com/question/2078551
#SPJ1
Fast help would be preferred.
Applying the subtraction property of equality, the number that belongs in the green box is of 9.
What is the subtraction property of equality?When we subtract an amount from one side of the equality, the same amount has to be subtracted from the other side of the equality.
In this problem, we have that;
9 is subtracted from the left side of the equality, given by 2p + 9.Hence, 9 also has to be subtracted from the right side of the equality, given by 27.Thus, the number that belongs in the green box is of 9.
More can be learned about the subtraction property of equality at https://brainly.com/question/1601404
#SPJ1
CAN YOU HELP PLEASE
Which of the following is not a function? (There may be more than one answer). Explain Clearly.
Using the condition for a relation to be a function, we have that items b and c are not functions.
When does a relation represents a function?A relation represents a function when each value of the input is mapped to only one value of the output.
In this problem, we have that:
Item b is not a function, as the input 6 is associated with two outputs.Item c is not a function, because the graph has vertically aligned points, meaning that values of x are associated with multiple, in this case 2, values of y.More can be learned about relations and functions at https://brainly.com/question/12463448
#SPJ1
henry's hamburger heaven offers its hamburgers with the following condiments: ketchup, mustard, mayonnaise, tomato, lettuce, pickles, cheese, and onions. a customer can choose one, two, or three meat patties, and any collection of condiments. how many different kinds of hamburgers can be ordered? (a) 24 (b) 256 (c) 768 (d) 40,320 (e) 120,960
Total number of possible hamburgers is 768
Given,
The number of condiments = 8
Total number of combinations with 8 condiments = [tex]2^{8}=256[/tex]
A customer can choose one, two or three meat patties
Total number of possible hamburgers = 256×3= 768
Hence, the total number of possible hamburgers is 768
Learn more about combinations here
brainly.com/question/11710155
#SPJ4
Find the product of (4 x 106) and (2 x 106). write the final answer in scientific notation. 8 x 106 8 x 1012 8 x 10012 8 x 1036
The product of (4 x 10⁶) × (2 x 10⁶) is 8 × 10⁶.
What is scientific notation?Scientific notation is similar to shorthand for writing extremely large or extremely small numbers. Rather than writing a number in decimal form, it is reduced to a number multiplied by ten.
The "coefficient" is the first number with in mathematical equation. The coefficient has to be greater than one and less than ten. The coefficient for creating scientific notation for number 256, for example, is 2.56.The second number as in equation is a power of ten, written as a power of ten with an exponent, such as 10², which stands for 10 x 10.Now, as per the given question;
The product of the given two number are-
= (4 x 10⁶) × (2 x 10⁶)
= 8 × 10⁶
Therefore, the scientific notation of the product of the give two numbers is 8 × 10⁶.
To know more about scientific notation, here
https://brainly.com/question/1767229
#SPJ4
The correct question is-
Find the product of (4 x 10⁶) and (2 x 10⁶). write the final answer in scientific notation. write the final answer in scientific notation.
find ac if ab =9,ac=x+19,and bc=2x+18.
By solving a linear equation, we can see that the measures of the segments are:
ab = 9ac = 11bc = 2How to find the length of each segment?Here we have 3 collinear points, a, b, and c.
We know that the measures are:
ab = 9
ac = x + 19
bc = 2x + 18
If b is between a and c, then we should have that:
ac = ab + bc
Replacing the measures we get:
x + 19 = 9 + (2x + 18)
Now we can solve this linear equation to find the value of x.
x + 19 = 9 + 2x + 18
x + 19 = 27 + 2x
19 - 27 = 2x -x
-8 = x
Then the measures are:
ab = 9
ac = -8 + 19 = 11
bc = 2*(-8) + 18 = -16 + 18 = 2
If you want to learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1
If you drew a line segment from the point when Kiley arrived at the airport to the point when she reached the waiting area near the gate, at what point would the line segment end?
I'll give you more points and brainliest
The required line segment will terminate at the point on the graph where the airports' coordinates (x, y) are placed.
The graph's origin, or (0, 0), will serve as its initial coordinates. Kiley's home is represented by this point. You need to figure out where the line segment would terminate if you were to draw a segment from here that depicts Kiley's automobile travel from her residence to the airport.
What is Coordinate :Coordinates are a set of values which helps to show the exact position of a point in the coordinate plane. Coordinate Plane Meaning. A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.
Let the airports' coordinates be in this instance (x, y).
Moreover, if the slope of the line segment linking Kiley's home and the airport is m,
The line's equation will now be,
y = mx
c = 0
Because the line is passes from origin (0, 0)
When one of the airport's coordinates is known, another one might be found.
Therefore, the necessary line segment will terminate at the point on the graph where the airports' (x, y) coordinates are placed.
To learn more about visit Coordinates :
brainly.com/question/5575846
#SPJ1
4. Find 3 x 6.
3 × 6 = (2x 6) + (1 x 6)
3x6 = _ + _
3x6 =18
Answer: Basically, the answer for the missing numbers are 6 and 12
Step-by-step explanation:
(i) Seems simple, I'll help
1. If 3 * 6 = (2 * 6) + (1 * 6), then simplified, it is 18 = 12 + 6
2. When 18 = 12 + 6, it becomes 18 = 18
find lcm 1+ 4x + 4x² - 16x², 1+ 2x - 8x³ - 16x4
Answer:
(-2x+1)x(6x+1)x(1+2x-8x^3-16x*4)
Step-by-step explanation:
a certain composer wrote 10 symphonies, 4 piano concertos (music for piano and orchestra), and 35 piano sonatas (music for solo piano). a. how many ways are there to play first a symphony and and then a piano concerto? b. the manager of a radio station decides that on each successive evening (7 days a week), a symphony will be played followed by a piano concerto followed by a piano sonata. for how many nights could this be carried out before exactly the same program would have to be repeated? about how many years would this be? (round to the nearest year).
There are 40 different ways to perform a symphony and then a piano concerto.
Who is a composer?A composer is someone who creates music. The term is most commonly used to refer to composers of Western classical music or composers by profession. Many composers are or were accomplished, musicians.To find how many ways are there to play first a symphony and then a piano concerto:
Formula: n(choices to play a symphony) x n(choices to play a concerto)⇒ 10(4) = 40Therefore, 40 ways are there to play first a symphony and then a piano concerto
Know more about a composer here:
https://brainly.com/question/7184603
#SPJ4
What is the least value of x that satisfies
the equation below?
|2x - 11 = 23
what is the answer for2 /4 times 2/3??
An extract of a balance sheet is given. What is the total asset turnover ratio?
Balance Sheet (extract), December 31st, 2xxx $
Intangible Assets 5,000
Tangible Assets 10,000
Current Assets 5,000
Investments 5,000
Current Liabilities 10,000
Long Term liabilities 30,000
Net Sales 40,000
The debt-equity ratio of Creatz Ltd. is
1.6
(Express your answer to two significant figures).
Answer:
1.6
Step-by-step explanation:
add together the assets which would be 25,000 then divide 40,000 by that number 40,000/25,00=1.6
Also got it right on edmentum
f(x) = 2x² - 6
Find f(7)
A line that includes the points (c, -2) and (-1, 0) has a slope of -1/3 What is the value of c?
Answer:
c = 5
Step-by-step explanation:
Slope-intercept form of a linear equation:
[tex]\large\boxed{y=mx+b}[/tex]
where:
m is the slope.b is the y-intercept.Given:
Slope = -¹/₃Point = (-1, 0)Substitute the given slope and point into the formula and solve for b:
[tex]\begin{aligned}y & = mx + b\\\implies 0 & = -\dfrac{1}{3}(-1)+b\\0 & = \dfrac{1}{3}+b\\-\dfrac{1}{3}&=b\\ \implies b&=-\dfrac{1}{3}\end{aligned}[/tex]
Substitute the given slope and found value of b into the formula to create an equation for the line:
[tex]\boxed{y=-\dfrac{1}{3}x-\dfrac{1}{3}}[/tex]
Substitute the point (c, -2) into the equation and solve for c:
[tex]\begin{aligned} y&=-\dfrac{1}{3}x-\dfrac{1}{3}\\\implies -2&=-\dfrac{1}{3}c-\dfrac{1}{3}\\-2+\dfrac{1}{3}&=-\dfrac{1}{3}c-\dfrac{1}{3}+\dfrac{1}{3}\\-\dfrac{5}{3}&=-\dfrac{1}{3}c\\-\dfrac{5}{3} \cdot 3&=-\dfrac{1}{3}c \cdot 3\\-5&=-c\\\implies c & = 5\end{aligned}[/tex]
Solution
Therefore, the value of c is 5.