The correct statement about the description “two less than the quotient of a number cubed and sixteen, increased by eight” is "StartFraction n cubed Over 16 EndFraction minus 2 + 8"
The correct answer option is option a
The value of the expression when n = 4 is 10. option D
How to write algebraic expressionThe unknown number = nQuotient means divisionquotient of a number cubed and sixteen
= n³ / 16
two less than the quotient of a number cubed and sixteen
= (n³ / 16 - 2)
two less than the quotient of a number cubed and sixteen, increased by eight”
= (n³ / 16 - 2) + 8
If n = 4
(n³ / 16 - 2) + 8
= (4³ / 16 - 2) + 8
= (64/16 - 2) + 8
= (4 - 2) + 8
= 2 + 8
= 10
In conclusion, the expression can be written as "StartFraction n cubed Over 16 EndFraction minus 2 + 8"
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Sam improved his score by 20% for the 1st semester, and in the 2nd semester his score improved by 10% what is sams score percentage for the whole year
Sam's score percentage for the whole year was 15 %
This is a simple question of average,
Sam improved his score by 20% in the 1st semester, and in the 2nd semester, his score improved by 10%.
let 20 in out of 100 and 10 out of 100.
then, the total percentage score is equal to 20+10=30.
and, the total percentage in which out of getting is 100+100 =200
we have to find sam's score percentage for the whole year
which is equal to the total percentage score by sam's divided by percentage which is out of getting and whole multiplied by 100 Because we are finding the percentage.
=>30*100/200=>15 percentage.
So, Sam's score percentage for the whole year= is 15 %
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Identify the function that fits the description given below.
The function whose domain consists of all nonnegative real numbers.
Select all that apply.
The function which contains non-negative real number is y = (x - 1)² and the domain is [0, ∝).
What is real number?
In mathematics, real number are those numbers which contain negative numbers, whole numbers as well as natural numbers. And all the positive real number lies in the first quadrant in the graph. The set of real numbers (denoted by R) includes both rational numbers (positive, negative and zero) and irrational numbers.
According to the question, the given functions whose domain consists of all non-negative real numbers.
Non-negative real numbers lie in the first quadrant. Therefore, the function(d) contains all non-negative real numbers.
Given function: y = (x - 1)²
The domain for this function is: [0, ∝)
Hence, the function which contains non-negative real number is y=(x - 1)² and the domain is [0, ∝).
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which is not a reason for the small size of cells? a. as the linear dimensions of a cell increase, the volume increases twice as fast as the surface area.
(C) "Eukaryotic cells must be smaller than prokaryotic cells due to the increased number of organelles" is not the reason for the small size of the cells.
What are cells?It is possible for cancer cells to separate from the primary tumor and move through the blood or lymphatic system to distant parts of the body, where they exit the blood vessels to create new tumors. Metastasis is the term for this. Cells that divide uncontrollably and invade neighboring tissues are what cause cancer. The type of cell that develops into cancer in adults is typically an epithelial cell. Body cavities and the exterior of the body are lined with epithelial cells. Environmental exposure to these cells over time can result in cancer.The reasons for the small size of cells are as follows:
Wastes and nutrients must pass through the plasma membrane to enter and exit the cell.There are limitations to how much cytoplasm the nucleus can regulate.The cytoplasm must allow materials to move through it quickly and effectively.The volume grows twice as quickly as the surface area as a cell's linear dimensions increase.Option (C) is not mentioned the reasons for the small size of the cell, so (C) is the answer.
Therefore, (C) "Eukaryotic cells must be smaller than prokaryotic cells due to the increased number of organelles" is not the reason for the small size of the cells.
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The complete question is given below:
Which is NOT a reason for the small size of cells?
A) nutrients and wastes must enter and leave the cell through the plasma membrane
B) the nucleus can only control a certain amount of cytoplasm
C) the increased number of organelles requires that eukaryotic cells be smaller than prokaryotes cells
D)materials must be able to move quickly and efficiently through the cytoplasm
E) as the linear dimensions of a cell increase, the volume increases twice as fast as the surface area
What is the volume (in cubic units) of a sphere with a radius of 9 units and height of 7 units? assume that it = 3.14 and round your answer to the nearest tenth when necessary.
After solving with help of the formula to find the volume of the sphere we find that the volume of the sphere is 3053.63
The radius of the sphere = 9 units
Height of sphere =7 units
the value of π is given in the question =3.14
The volume of the sphere = 4/3 × π × r^3
= (4/3) × 3.14×9^3
= (4/3) × 3.14 × 27
= 4 × 3.14 × 9
= 36 × 3.14
= 3053.63
The volume of the sphere is 3053.63
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The head gardener at a botanical garden wants to plant rosebushes in parallel rows on either side of an existing footpath. How can the gardener ensure that that the rows are parallel
If the rows are perpendicular to the footpath, then the gardener ensure that that the rows are parallel.
Parallel:
Any two lines are said to be parallel if the Corresponding angles so formed are equal.
Given,
The head gardener at a botanical garden wants to plant rosebushes in parallel rows on either side of an existing footpath.
Here we need to find how can the gardener ensure that that the rows are parallel.
To know the answer, we have to consider the following,
Let us consider,
If the gardener digs every row at a 90° angle to the footpath, then each row will be exactly perpendicular to the foot path of the garden.
Which means,
If the rows are perpendicular to the footpath, then the rows are parallel.
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please help fast and provide explanation so I know how to find the answer
Option A 2X+y=1, the perpendicular graph, is correct.
What is x axis and y axis?Two parallel lines, known as axes (pronounced AX- eez), that are perpendicular to each other make up a coordinate grid. Typically, the term "x-axis" refers to the horizontal axis. The y-axis is the common name for the vertical axis. The origin is the location where the x- and y-axes intersect.A two-dimensional number line, such as two perpendicular number lines oraxes, can be thought of as a coordinate system. This coordinate system is typical: The x-axis and y-axis are the names of the horizontal and vertical axes, respectively.The vertical y-axis is aligned with the horizontal x-axis. "X is a cross hence the -axis is across" is one approach to remember which axis is which.To learn more about x axis and y axis refer to:
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What is the value of x in the equation?
6x + 24 - 4x = 30
Answer:2x+ 24
Step-by-step explanation:
6x-4x=2x+ 24
Answer:
✨hello mark as branlist pls x=3
Step-by-step explanation:
6x+24−4x=30
6x+24−4x=30
6x+24+−4x=30
(6x+−4x)+(24)=30
2x+24=30
2x+24=30
2x+24−24=30−242x=6
2x
2
=
6
2
x=3
Solve for the value of X
Thank you so much to anyone who solves this!!
Answer:
x=37
Step-by-step explanation:
3x + 3 + 2x - 8 = 180
solve for x and x = 37
hope this helped
have a good day sir ^^
Answer:
x=37
Step-by-step explanation:
180=5x+3-8
180=5x-5
+5 +5
185=5x
/5 /5
37=x
x=37
Plot the image of point D under the dilation about the origin (0 , 0) with a scale factor of 3
The dilated picture of the point D dilation that is necessary is -6.
Given that,
To determine thee dilated image of point D (-2, 0), on the graph.
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
The scale factor is defined as the ratio of modified change in length to the original length.
Here,Formerly point D is located at (-2, 0).
Now multiplying with the scale factor 3 the point goes
(-2 * 3, 0*3) => (-6, 0).
Thus, The required dilated image of the dilation of point D is -6.
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A city has a sales tax.
Is there a proportional relationship between the cost of items before tax and the cost of items after tax?
Yes
What is the constant of proportionality?
1. Yes. There is a proportional relationship between the cost of items before tax and the price after tax because they share a constant of proportionality.
2. The constant of proportionality refers to the relative ratio that establishes the proportional relationship between two values.
What other descriptions refer to the constant of proportionality?Other descriptions of the constant of proportionality include:
Constant ratioConstant rateUnit rateConstant of variationRate of change.Two variables possess a proportional relationship when their ratio or product produces a constant.
We can use the equation, k = y ÷ x, to find the constant of proportionality.
For instance, let the cost of items before tax be $100 with a 7% sales tax. The cost of the articles after tax is $107.
Therefore, the constant of proportionality is 1.07 ($107/$100).
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Mark is 6 years younger than 2 times his brother. If their combined age is 24, how old is mark?
Answer:
14
Step-by-step explanation:
You want to know how old Mark is if he is 6 years younger than twice his brother's age, and their combined age is 24.
RelationsLet m and b represent Mark's age and his brother's age, respectively.
The given relations are ...
m = 2b -6m + b = 24SolutionSolving the second equation for b, we have ...
b = 24 -m
Using that in the first equation gives ...
m = 2(24 -m) -6
m = 48 -2m -6
3m = 42 . . . . . . . . . add 2m, combine like terms
m = 14
Mark is 14 years old.
__
Check
Mark's brother is 24 -14 = 10. Twice that less 6 is 2×10 -6 = 14, which is Mark's age, as it should be.
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Henry purchases $56.00 worth of clothing at the store. The sales tax in his city is 7.5%. What is the total cost of the clothing?
Answer:
$60.20
Step-by-step explanation:
7.5 percent of 56 can be found by multiplying 56 times .075, which equals 4.2. Add that to 56 and you get the total cost, which is $60.20
2) you are comparing two investment options that each pay 6 percent interest, compounded annually. both options will provide you with $12,000 of income. option a pays $2,000 the first year followed by two annual payments of $5,000 each. option b pays three annual payments of $4,000 each. which one of the following statements is correct given these two investment options? assume a positive discount rate. (no calculations needed.) a) both options are of equal value since they both provide $12,000 of income. b) option a has the higher future value at the end of year 3. c) option b has a higher present value at time 0. d) option b is a perpetuity. e) option a is an annuity.
Answer:
The correct answer is B) Option B has a higher present value at time zero.
Step-by-step explanation:
We use spreadsheets to compare both options.
We have to calculate
future value
present value
Option A
Net Present Value (NPV) 10534,87
Future value 12.547
Option B
Net Present Value (NPV) 10692,05 is higher than option A
Future value 12.734 is higher than option A
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what is the difference 2/5(d-10)-2/3(d+6)
The difference between 2/5(d-10)-2/3(d+6) is -56.
Firstly simplifying the terms to find the difference. Simplifying the first part -
Rewriting the expression
Expression 1 = 2/5(d - 10)
Multiplying the terms with the bracket
Expression 1 = 2d/5 - ((2×10)/5)
Multiplying the terms on Right Hand Side
Expression 1 = 2d/5 - 2×2
Performing multiplication
Expression 1 = 2d/5 - 4
Simplifying the second part -
Rewriting the expression
Expression 2 = 2/5(d + 6)
Multiplying the terms with the bracket
Expression 2 = 2d/5 + ((2×6)/5)
Multiplying the terms on Right Hand Side
Expression 2 = 2d/5 - 12×5
Performing multiplication
Expression 2 = 2d/5 - 60
Subtracting expression 2 from expression 1
Difference = 2d/5 - 60 - (2d/5 - 4)
2d/5 will be subtracted to give 0
Difference = - 60 + 4
Performing subtraction
Difference = - 56
Therefore, the difference between mentioned expressions is -56.
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What is the measure of
The measure of angle AXY based on the information will be A. 70°.
How to calculate the angle?It should be noted that the value of a right angle is equal to 90°.
In this case, we will add the angles that are given and equate them to 90°. This will be:
6x + 40 + 10 + 2x = 90°
8x + 50 = 90°
Collect like terms
8x = 90° - 50°
8x = 40°
Divide
x = 40° / 8
x = 5°
Therefore, the value of angle AXY will be:
= 6x + 40
where x = 5.
= 6(5) + 40
= 30 + 40
= 70°
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Help me please i dont get how to do it
The linear graph of y = 2x + 3 is shown below.
How to Draw the Graph of a Linear Equation?To graph the linear equation, plot each points from the table of values on a coordinate plane then connect the points to each other as a straight line.
Given the table, to fill it, substitute each value of x into y = 2x + 3:
For x = -2:
y = 2(-2) + 3
y = -4 + 3
y = -1
For x = -1:
y = 2(-1) + 3
y = -2 + 3
y = 1
For x = 0:
y = 2(0) + 3
y = 3
Thus, plot the points, (-2, -1), (-1, 1), (0, 3), (1, 5), and (2, 7) on a graph. The graph is shown below.
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Which answer choice best represents the intercepts of the graph of r?
A x-intercept: (5,0)
y-intercepts: (0, 10) and (0, - 2)
B x-intercepts: (0, - 10) and (0, 2)
y-intercept: (-5,0)
C x-intercept: (0,5)
y-intercepts: (10,0) and (-2, 0)
D x-intercepts: (-10,0) and (2,0)
y-intercept (0,-5)
Answer: D
Step-by-step explanation:
The x-intercepts are where the graph meets the y-axis.
The y-intercepts are where the graph meets the x-axis.
Answer: D x-intercepts: (-10,0) and (2,0)
y-intercept (0,-5)
please answer this question to do with shapes
please explain the steps in detail
Area of the shape formed by joining triangle , trapezium and rectangle with height 3.5cm is equal to 6.25cm².
As given in the question,
Height of the shape = 3.5cm
length of the rectangle =3cm
Base of a triangle= 8mm
= 0.8cm
Parallel sides of the trapezium
side1 = 0.8cm
side 2= 3cm
Let x represents the height
Ratio of the height of rectangle ,trapezium and triangle =2:3:2
2x +3x+2x =3.5
⇒7x =3.5
⇒x =0.5
Height of rectangle =2×0.5
= 1cm
Height of trapezium =3×0.5
= 1.5cm
Height of the triangle =2×0.5
= 1cm
Area of triangle = (1/2)× 0.8 ×1
= 0.4cm²
Area of trapezium = (1/2) ×(0.8+3)×1.5
= 2.85cm²
Area of rectangle = 3 ×1
=3cm²
Area of the shape =0.4 +2.85 +3
= 6.25cm²
Therefore, area of the shape formed by joining triangle , trapezium and rectangle with height 3.5cm is equal to 6.25cm².
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Draw the net force arrow on the picture to the left.
Answer:
Step-by-step explanation:
Lucy earns $15.75 per hour. Last week she worked 25 hours. What is her gross pay?
Lance has a yearly salary of $52,300 and pays 21% in taxes. Answer the following
a. How much does he pay in taxes?
b. What is his net pay?
c. If he receives two paychecks a month, how much will each paycheck be?
If Lucy earns $15.75 per hour. Last week she worked 25 hours her gross pay is $393.75 . If Lance has a yearly salary of $52,300 and pays 21% in taxes her taxed amount is $10,983, net pay is $41,317 and paycheck is $2,179.
Gross pay1. Gross pay
Using this formula to determine the gross pay
Gross pay = Amount earn per hour × Number of hours worked
Let plug in the formula
Gross pay = $15.75 per hour × 25 hours
Gross pay = $393.75
2a. Taxed amount
Amount in Tax = Salary × Tax percentage
Amount in taxes = $52,300 × 21%
Amount in taxes = $10,983
2b. Net pay
Net pay = Gross - Deduction
Net pay = $52,300 - $10,983
Net pay = $41,317
2c. Paycheck
Paycheck = $52,300 / 24 months
Paycheck = $2,179 per paycheck
Therefore we can conclude that the her gross pay is $393.75
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Henry read 6 books in 2 months. if he reads at a constant rate, how many books did he read each month? give your answer as a whole number or a fraction in simplest form.
The number of books Henry read each number is 3 or 6/2 in a fraction.
A fraction is used to denote a portion or component of a whole. It stands for the proportionate pieces of the whole. The numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom.
As given in the question,
The number of books read in 2 months is 4.
Henry read books at a constant rate.
The Number of books read by Henry in 1 month is ( 6/2 ) = 3 books.
Therefore, the number of books read by Henry as per the given condition of reading 6 books in 2 months at a constant rate is equal to 6/2.
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Hi could you help me on this question I don’t really know how to answer this..? I will mark brainliest!
The postulate that can be used to prove that the triangles are congruent is: AAS.
What is the AAS Congruence Postulate?The AAS congruence postulate states that if two angles and one non-included side of one triangle are congruent to corresponding two angles and one non-included side of another triangle, it can be proven that both triangles are congruent triangles.
From the image, we know that triangles RST and UVT have:
Two pairs of congruent angles, which are angle RST ≅ angle UVT and angle RTS ≅ UTV (vertical angles)
One pair of non-included congruent sides, which are RT ≅ UT.
Thus, we can conclude that they are congruent triangles based on the AAS congruence postulate.
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Find the equation of the line that is parrallel to y=-x+9 and contains the point (7,-13)
Answer:
y = - 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 = - x + 9 ← is in slope- intercept form
with slope m = - 1
• Parallel lines have equal slopes , then
y = - x + c ← is the partial equation of the parallel line
to find c substitute (7, - 13 ) into the partial equation
- 13 = - 7 + c ⇒ c = - 13 + 7 = - 6
y = - x + 6 ← equation of parallel line
Answer:
[tex]\rm{y=-x-6}[/tex]Step-by-step explanation:
Parallel lines have the same slope. So the slope of the line that's parallel to
[tex]\sf{y=-x+9}[/tex] is[tex]\sf{-1}[/tex]Now, plug that into the Point-slope formula:
[tex]\rm{y-y_1=m(x-x_1)}[/tex]
Where:
[tex]\rm{y_1}[/tex] is the y-coordinate of the point[tex]\rm{m}[/tex] is the slope[tex]\rm{x_1}[/tex] is the x-coordinate of the pointPlug in the values:
[tex]\rm{y-(-13)=-(x-7)}[/tex][tex]\rm{y+13=-(x-7)}[/tex][tex]\rm{y+13=-x+7}[/tex][tex]\rm{y=-x+7-13}[/tex][tex]\rm{y=-x-6}[/tex]I hope this helps!!
Find the value of r so the line that passes through the pair of points has the given slope. (6, 8), (r, −2), m=1
Answer:
r=-4
Step-by-step explanation:
use the slope formula
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Then plug in x and y values and set that equal to m=1
1=[tex]\frac{-2-8}{r-6}[/tex]
multiply r-6 over
r-6=-10
r=-4
3) Write the equation of the line (in slope-intercept) that passes through (3,10)
a) and is parallel to y = x - 1
b) and is perpendicular to y = x - 1
The Equation of line -
When line is parallel to line y = x - 1 is y = x + 7When line is perpendicular to line y = x - 1 is y = x + 7What is the slope intercept form of a line?
The slope intercept form of a line is given by -
y = mx + c
m is the slope of line
c is the y - intercept
Given is a line that passes through the point (3, 10) and in case [1] is parallel to line y = x - 1 and in case [2] is perpendicular to y = x - 1.
Case 1 - Line is parallel to the line y = x - 1
Assume that the equation of line is -
y = mx + c
Since, the line is parallel, both lines will have same slope and is given by -
m = 1
Since, the line passes through the point (3, 10) we can write -
10 = 1 x 3 + c
c = 7
We can write the equation of line parallel to line y = x - 1 as -
y = x + 7
Case 2- Line is perpendicular to the line y = x - 1 -
Assume that the equation of line is -
y = mx + c
Since, the line is perpendicular, the product of slopes of both lines will be equal to 1. The slope (m) of the line will be -
m x 1 = -1
m = -1
Since, the line passes through the point (3, 10) we can write -
10 = -3 + c
c = 13
We can write the equation of line perpendicular to line y = x - 1 as -
y = - x + 13
Therefore, the equation of line -
When line is parallel to line y = x - 1 is y = x + 7When line is perpendicular to line y = x - 1 is y = x + 7To solve more questions on Straight lines, visit the link below-
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20 PTS SOLVE PLS
LOOK AT PICTURE
Answer:
[tex]\frac{x}{3}\sqrt{\frac{x}{3}}[/tex]
Step-by-step explanation:
[tex]g(h(x))=g(x/3)=\sqrt{x/3} \\ \\ f(g(h(x)))=f(\sqrt{x/3}) \\ \\ =(\sqrt{x/3})^3 \\ \\ =\frac{x}{3}\sqrt{\frac{x}{3}}[/tex]
Help me with this pleaseeee
Answer:
2, 3
Step-by-step explanation:
[tex]g(x)=\frac{1}{2}(4x+6) \\ \\ =2x+3[/tex]
the volume of a cube is 64cm³. what is the total surface area.
Answer:[tex]96cm^2\\[/tex]
Step-by-step explanation:
64= [tex]x^3\\[/tex]
[tex]\sqrt[3]{64} =4[/tex]
So a side is 4, and surface area of one side is 4x4 = [tex]16cm^2[/tex]
cude has 6 faces, 16*6 = [tex]96cm^2\\[/tex]
Answer:
96 cm²
Step-by-step explanation:
If the side of a cube is a, then volume = a³
There are six surfaces for a cube and each surface has an area of a²
So total surface area = 6a²
Since we are given volume = 64 cm³, each side must be ∛64 = 4 cm
So total surface area = 6 x 4² = 6 x 16 = 96 cm²
URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Match the operation with it's inverse operation you would use to solve an equation
Answer:
1. e
2. c
3. f
4. b
5. a
6. d
Step-by-step explanation:
Addition - Subtraction
Subtraction - Addition
Multiplication - Division
Division - Multiplication
x^2 = square root X
square root x = x^2
Answer:
A to 5. B to 3. C to 1. D to 6. E to 2. F to 4.
Step-by-step explanation:
It makes sense.
Please help me on this question!