Answer:
235.65
Step-by-step explanation:
Order from greatest to least
Answer:
15, 3, -1, -12
Step-by-step explanation:
15, 3, -1, -12
Answer:
First answer (15, 3, -1, -12)
Step-by-step explanation:
ez
Solve for y. 40 = 25y Simplify your answer as much as possible.
-1/2(3x-4)+3x=5/6
Please help
Answer:
x = -7/9
Step-by-step explanation:
The usual recommendation is to clear fractions first. Here, you can do that by multiplying both sides of the equation by 6.
6(-1/2(3x -4) +3x) = 6(5/6)
-9x +12 +18x = 5 . . . . . . . . . simplify
9x = -7 . . . . . . . . . . . . . . . . . subtract 12
x = -7/9 . . . . . .divide by 9
__
Another way to do this is to eliminate parentheses first.
-3/2x +2 +3x = 5/6
3/2x = -7/6 . . . . . . . . . collect terms, subtract 2
x = (-7/6)(2/3) = -7/9 . . . . multiply by 2/3
Find a linear inequality with the following solution set. Each grid line represents one unit. [asy] size(200); fill((-2,-5)--(5,-5)--(5,5)--(3,5)--cycle,yellow); real ticklen=3; real tickspace=2; real ticklength=0.1cm; real axisarrowsize=0.14cm; pen axispen=black+1.3bp; real vectorarrowsize=0.2cm; real tickdown=-0.5; real tickdownlength=-0.15inch; real tickdownbase=0.3; real wholetickdown=tickdown; void rr_cartesian_axes(real xleft, real xright, real ybottom, real ytop, real xstep=1, real ystep=1, bool useticks=false, bool complexplane=false, bool usegrid=true) { import graph; real i; if(complexplane) { label("$\textnormal{Re}$",(xright,0),SE); label("$\textnormal{Im}$",(0,ytop),NW); } else { label("$x$",(xright+0.4,-0.5)); label("$y$",(-0.5,ytop+0.2)); } ylimits(ybottom,ytop); xlimits( xleft, xright); real[] TicksArrx,TicksArry; for(i=xleft+xstep; i 0.1) { TicksArrx.push(i); } } for(i=ybottom+ystep; i 0.1) { TicksArry.push(i); } } if(usegrid) { xaxis(BottomTop(extend=false), Ticks("%", TicksArrx ,pTick=gray(0.1),extend=true),p=invisible);//,above=true); yaxis(LeftRight(extend=false),Ticks("%", TicksArry ,pTick=gray(0.1),extend=true), p=invisible);//,Arrows); } if(useticks) { xequals(0, ymin=ybottom, ymax=ytop, p=black, Ticks("%",TicksArry , pTick=black+0.8bp,Size=ticklength), above=true, Arrows(size=axisarrowsize)); yequals(0, xmin=xleft, xmax=xright, p=black, Ticks("%",TicksArrx , pTick=black+0.8bp,Size=ticklength), above=true, Arrows(size=axisarrowsize)); } else { xequals(0, ymin=ybottom, ymax=ytop, p=axispen, above=true, Arrows(size=axisarrowsize)); yequals(0, xmin=xleft, xmax=xright, p=axispen, above=true, Arrows(size=axisarrowsize)); } }; draw((-2,-5)--(3,5),dashed+red, Arrows(size=axisarrowsize)); rr_cartesian_axes(-5,5,-5,5); f
The linear inequality of the graph is: -x + 2y + 1 > 0
How to determine the linear inequality?First, we calculate the slope of the dashed line using:
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
Two points on the graph are:
(1, 0) and (3, 1)
The slope (m) is:
\(m = \frac{1 - 0}{3 - 1}\)
This gives
m = 0.5
The equation of the line is calculated as:
\(y = m(x -x_1) + y_1\)
So, we have;
\(y = 0.5(x -1) + 0\)
This gives
\(y = 0.5x -0.5\)
Multiply through by 2
\(2y = x - 1\)
Now, we convert the equation to an inequality.
The line on the graph is a dashed line. This means that the inequality is either > or <.
Also, the upper region of the graph that is shaded means that the inequality is >.
So, the equation becomes
2y > x - 1
Rewrite as:
-x + 2y + 1 > 0
So, the linear inequality is: -x + 2y + 1 > 0
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Complete question
Find a linear inequality with the following solution set. Each grid line represents one unit. (Give your answer in the form ax+by+c>0 or ax+by+c \(\geq\) 0 where a, b, and c are integers with no common factor greater than 1.)
Write the expression that is equivalent to (2x+5)(3x+1)
.
Answer & Step-by-step explanation:
To multiply these two binomials, we can use the distributive property as follows:
(2x+5)(3x+1) = 2x(3x+1) + 5(3x+1)
Now, we can simplify each term:
2x(3x+1) = 6x^2 + 2x
5(3x+1) = 15x + 5
Putting these back together, we get:
(2x+5)(3x+1) = 6x^2 + 2x + 15x + 5
Simplifying the middle two terms, we get:
(2x+5)(3x+1) = 6x^2 + 17x + 5
Therefore, the expression that is equivalent to (2x+5)(3x+1) is 6x^2 + 17x + 5.
Hope it helps!
Select all that apply.
Answer:
B,D
Step-by-step explanation:
Just use PEMDAS, comment in more explanation is needed
6) Which list shows how many equal-sized groups of 18 students Ms. Lee can make?
1, 2, 3, 4, or 6
7, 9, 14, 18, or 28
1, 2, 3, 6, 9, or 18
1, 2, 4, 7, 14, or 28
Answer:
1,2,3,6,9
Step-by-step explanation:
Got it right
What are some organizations in the college Edward waters university?
Organizations in College Edward Waters University include
Accounting ClubEconomics ClubDelta Sigma Pi, Theta Omega ChapterGraduate Business Student Association (GBSA)Hilltop American Marketing AssociationWhere is the college Edward waters university?College Edward waters university was the first independent higher institution and black college located in Florida state of the United States of America.
The institution was found in 1866 in Jacksonville, Florida. It is owned by African Methodist Episcopal Church which is a Christian denomination.
Organizations refers to arrangement where people come together for a defined purpose. Organizations so exist in this high institution of learning
Delta Sigma Pi, Theta Omega Chapter is one of the organizations in this institution. The purpose of this organization is aid students in studying business in several ways and financial aids is one of them.
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Combine like terms to create an equivalent expression.
7.4z - 5(-1.6z +2.4)
Please I really need help
Answer:
15.4z - 12
Step-by-step explanation:
Distribute:
=7.4z + (−5)(−1.6z) + (−5)(2.4)
=7.4z + 8z + −12
Combine Like Terms:
=7.4z + 8z + −12
=(7.4z+8z) + (−12)
=15.4z + −12
If a categorical variable that can take the values from the set {Red, Blue, Green, Yellow} is included as an independent variable in a linear regression, the number of dummy variables that are created is: 2
If a categorical variable that can take the values from the set {Red, Blue, Green, Yellow} is included as an independent variable in a linear regression, the number of dummy variables that are created is two
When a categorical variable that has n categories is to be included as an independent variable in a linear regression analysis, it must be converted to n - 1 dummy variables. The reason for this is that including all n categories as dummy variables would cause perfect multicollinearity in the regression analysis, making it impossible to estimate the effect of each variable.In this case, the set of categories {Red, Blue, Green, Yellow} has four categories. As a result, n - 1 = 3 dummy variables are required to represent this variable in a linear regression. This is true since each category is exclusive of the others, and we cannot assume that there is an inherent order to the categories.The dummy variable for the first category is included in the regression model by default, and the remaining n - 1 categories are represented by n - 1 dummy variables. As a result, the number of dummy variables that are required to represent the categorical variable in the regression model is n - 1.
Thus, if a categorical variable that can take the values from the set {Red, Blue, Green, Yellow} is included as an independent variable in a linear regression, the number of dummy variables that are created is two .
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A soccer ball is made of 32 pieces of leather: white hexagons and black pentagons. Each black piece borders only with white pieces, each white piece borders with three black pieces and three white pieces. How many black pieces are needed to manufacture the ball?
Answer:
The number of black pieces needed to manufacture the ball is 11 black pieces
Step-by-step explanation:
Given that the number of pieces in the soccer ball = 32 pieces
The shape of the white piece = Hexagon
The shape of the black piece = Pentagon
Each black piece borders with only white pieces
Each white piece borders with three black pieces and three white pieces
For the first black pie piece is borders to 5 white pieces total 6 pieces
Each of the five white pieced borders 3 pieced total 5 black pieces on the sides and one white piece on top to make an additional 10 piece total = 10 + 6 = 21 piece
Each black piece holds one white piece to add extra 5 pieces to make the total = 26
At the outermost shell of the arrangement, each of the white piece attached to a black piece will attach to an extra black piece, bringing the total to 26 + 5 = 31,
The last piece is white
Total black piece = 1 + 5 + 5 = 11 black pieces.
Week 6 Practice Problem A Draw the supply and demand for labor in a market in equilibrium. Label the equilibrium wage and quantity of labor. On the same graph illustrate how this market would change if a labor union began representing workers in this industry.
To draw the supply and demand for labor in a market in equilibrium, and illustrate the impact of a labor union, we can use a standard supply and demand graph with quantity of labor (Q) on the x-axis and wage (W) on the y-axis.
Market in Equilibrium:
In a competitive labor market, the supply of labor represents the quantity of workers willing and able to work at various wage levels. The demand for labor represents the quantity of workers that firms are willing to hire at various wage levels. In equilibrium, the supply and demand curves intersect.
Let's assume that at the equilibrium, the wage is labeled as We and the quantity of labor is labeled as Qe.
Graphically, the supply curve (S) slopes upward from left to right, indicating that higher wages incentivize more workers to enter the labor market. The demand curve (D) slopes downward from left to right, indicating that higher wages result in fewer workers being demanded by firms.
Place the equilibrium point (We, Qe) where the supply and demand curves intersect on the graph.
Impact of a Labor Union:
When a labor union represents workers in the industry, it can negotiate for better wages and working conditions on behalf of its members. This can shift the supply and/or demand curve.
a. Shift in the Supply Curve:
If the labor union successfully negotiates higher wages for its members, it can result in an upward shift of the supply curve. This shift represents an increase in the quantity of labor supplied at each wage level.
Draw a new supply curve (S') above the original supply curve. The new supply curve should intersect the demand curve (D) at a higher wage level (Wu) and a greater quantity of labor (Qu).
b. Shift in the Demand Curve:
If the labor union's demands result in higher production costs for firms, it can lead to a decrease in labor demand. This can cause a leftward shift of the demand curve.
Draw a new demand curve (D') to the left of the original demand curve. The new demand curve should intersect the supply curve (S) at a lower wage level (Wd) and a lower quantity of labor (Qd).
Label the new equilibrium point with a labor union as (Wu, Qu).
Note: The specific shift and its impact (supply or demand) depend on various factors and the specific circumstances of the labor union's actions. The above explanation provides a general example.
By graphically illustrating the changes in the labor market due to the presence of a labor union, you can visually see the impact on the equilibrium wage and quantity of labor.
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Solve for the roots in simplest form using the quadratic formula:
4x2 – 12x = -17
Please answer
Step-by-step explanation:
4x² - 12x + 17 = 0
i is an imaginary number and it equals √-1, and you usually put it when the number under the root is negative.
So √-5 = √5i and √-4 = 2i
The line represents the amount of money in Marus account overtime. What is the equation of the line in slope intercept form?
The equation of the line in slope-intercept form representing the amount of money in Marus's account over time is y = mx + b.
In the slope-intercept form of a linear equation, y represents the dependent variable (in this case, the amount of money in Marus's account), x represents the independent variable (time), m represents the slope of the line, and b represents the y-intercept (the value of y when x = 0).
To determine the equation of the line, we need to know the slope and y-intercept values. The slope, m, represents the rate of change of Marus's account balance over time. If we have two points on the line, we can calculate the slope using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.
Once we have the slope, we can substitute it along with the coordinates of any point on the line into the slope-intercept form equation y = mx + b to solve for the y-intercept, b. The y-intercept is the value of y when x = 0, meaning it represents the initial amount of money in Marus's account.
By determining the values of m and b, we can write the equation of the line in slope-intercept form and have a mathematical representation of how the amount of money in Marus's account changes over time.
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Two beach rental companies compared their sales from last weekend. Both companies rent out jet skis and kayaks, and they charge the same prices. Will's Watersports made a total of $780 from renting 12 jet skis and 9 kayaks. Family Fun Rentals made a total of $570 from renting 7 jet skis and 11 kayaks. What is the cost of each type of rental?
Answer:
Therefore Jet Skis cost $50 for the rental and Kayaks cost $20.
Step-by-step explanation:
Since they both rent the vehicles at the same price, "x" for jet skis and "y" for kayaks", we can create equations for each store and a system of equations for these, as shown below:
Watersports:
12*x + 9*y = 780
Fun Rentals:
7*x + 11*y = 570
System:
\(\left \{ {{12*x + 9*y=780} \atop {7*x + 11*y=570}} \right.\)
We can isolate "x" on the first equation:
\(x = \frac{780 - 9*y}{12}\)
And use it on the second:
\(7*[\frac{780 - 9*y}{12}] + 11*y = 570\\5460 -63*y = 6840 - 132*y\\132*y - 63*y = 6840 - 5460\\69*y = 1380\\y = 20\\\)
We can now use this value to find "x":
\(x = \frac{780 - 9*20}{12} = 50\)
Therefore Jet Skis cost $50 for the rental and Kayaks cost $20.
Evaluate 11.5x + 10.9y when x = 6 and y =7
The value of the algebraic expression 11.5x + 10.9y at x = 6 and y = 7 is 145.3
What is an algebraic expression?
Algebraic expression consists of variables and numbers connected with addition, subtraction, multiplication and division
The given algebraic expression is 11.5x + 10.9y
We have to find the value of the algebraic expression at x = 6 and y = 7
Putting x = 6 and y = 7 in the algebraic expression,
\(11.5 \times 6 + 10.9 \times 7\)
69 + 76.3
145.3
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Plz help!!! :( Lisa and Susan are driving to college together. They look at a map to find
out how far they have to drive On the map, Lisa measures the distance
to be 4.5 inches. How many miles do they have to drive if the map scale
is 1 in. = 35 min
91) __________ involves the analysis of accumulated data and involves a __________. a) OLAP, database b) OLAP, data warehouse c) OLTP, database d) OLTP, data warehouse
OLAP is used for the analysis of accumulated data, and it requires a data warehouse.
while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing. The analysis of accumulated data is known as Online Analytical Processing (OLAP), and it involves a data warehouse. OLAP is a business intelligence tool used for multi-dimensional analysis of large data sets, while a data warehouse is a central repository that stores historical and current data from multiple sources in a structured manner. OLAP allows users to perform complex queries on large data sets, analyze trends, and make informed business decisions. It is often used in data mining and decision support systems. OLAP tools can be used to slice and dice data, drill down to more detailed data, and roll up to higher levels of summary data. OLAP is primarily used for analytical purposes and is not designed for transaction processing. On the other hand, a data warehouse is designed to support OLAP and is used for storing large amounts of historical data that can be queried and analyzed. Data is extracted from various sources, transformed, and loaded into the data warehouse in a structured format, enabling efficient querying and analysis. OLTP (Online Transaction Processing), on the other hand, is a type of transaction processing that is designed for processing real-time transactions in databases. It is used for day-to-day operations such as order processing, inventory management, and customer management. OLTP is optimized for processing large volumes of transactions in real-time, and is not suitable for analytical purposes.
In summary, OLAP is used for the analysis of accumulated data, and it requires a data warehouse, while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing.
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.
Calculate the surface area.
Therefore , the solution of the given problem of surface area comes out to be the object's surface area is 96 cm².
What exactly does an area mean?Its total dimensions can be determined by estimating how much area would be required to completely enclose its exterior. When choosing a comparable product that has a rectangular shape, the surrounding area is taken into account. Something's overall dimensions are determined by its surface area. The volume of water a cuboid can hold depends on the amount of sides joining its four trapezoidal shapes.
Here,
The area of each face of the object in the photograph must be determined in order to add up the surface area of the object.
We can observe from the photograph that the object has six faces:
A rectangular prism with the dimensions 4 cm 3 cm 1 cm has two faces with an area of
=> 4 cm × 3 cm = 12 cm² and
2 faces with area
=> 3 cm × 1 cm = 3 cm²,
for a total of
=> 2(12 cm²) + 2(3 cm²) = 30 cm².
A 6-cm-by-3-cm-by-1-cm rectangular prism has two faces with areas of
=> 6 cm × 3 cm = 18 cm² and
2 faces with area
3 cm × 1 cm = 3 cm², for a total of
=> 2(18 cm²) + 2(3 cm²) = 42 cm²..
The area of a rectangle with sides of 4 cm and 6 cm is 4 cm and 6 cm, or 24 cm2.
We add up the areas of these 6 faces to determine the overall surface area:
=> 30 cm² + 42 cm² + 24 cm² = 96 cm²
Consequently, the object's surface area is 96 cm².
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pleas help quick
What is the value of the expression
PLUG IN THE VALUES IN THE RIGHT POSITIONS AND SIMPLIFY.
\( = 2( \frac{1}{2} + \frac{3}{4} ) + 6 \\ = 2( \frac{5}{4} ) + 6 \\ = \frac{10}{4} + 6 \\ = \frac{5}{2} + 6 \\ = \frac{17}{2} \)
THE ANSWER IS OPTION C.
What is the greatest common factor of 50, 40, and 20?
Answer:
10
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
The gcf is 10
Step-by-step explanation:
A cellphone company offers two plans. Plan A costs $40 a month for the first 150 minutes, and $0.27 for each additional minute. Plan B costs $60 a month for the first 200 minutes and $0.2 for each additional minute.
The piecewise function \(C_{B}(t)\) captures the total cost of Plan B per month based on the number of minutes used, considering the fixed monthly cost and the additional cost for exceeding the initial 200 minutes.
The piecewise function CB(t) that determines the total cost CB of Plan B per month in dollars using t minutes can be written as follows:
CB(t) = $60 + 0.2(t - 200), if t > 200,
CB(t) = $60, if t ≤ 200.
In this function, the fixed monthly cost of Plan B is represented by $60. For minutes beyond the initial 200 minutes, the additional cost is calculated by multiplying the excess minutes (t - 200) by the per-minute rate of $0.2. This additional cost is then added to the fixed monthly cost of $60.
For example, if a customer uses 250 minutes in a month, the total cost CB(t) for Plan B would be:
CB(250) = $60 + 0.2(250 - 200) = $60 + 0.2(50) = $60 + $10 = $70.
If the customer uses 180 minutes in a month, the total cost CB(t) for Plan B would be:
CB(180) = $60 (since 180 ≤ 200).
Therefore, the piecewise function CB(t) captures the total cost of Plan B per month based on the number of minutes used, considering the fixed monthly cost and the additional cost for exceeding the initial 200 minutes.
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A cellphone company offers two plans. Plan A costs $40 a month for the first 150 minutes, and $0.27 for each additional minute. Plan B costs $60 a month for the first 200 minutes and $0.2 for each additional minute. Write a piecewise function \(C_{B}(t)\) that determines the total cost \(C_{B}\) of Plan B per month in dollars using t minutes.
The slope of EF¯¯¯¯¯ is −52.
Which segments are perpendicular to EF¯¯¯¯¯?
Select each correct answer.
NP¯¯¯¯¯¯, where N is at (−3, 4) and P is at (−8, 2)
GH¯¯¯¯¯¯, where G is at (6, 7) and H is at (4, 12)
JK¯¯¯¯¯, where J is at (3, −2) and K is at (5, −7)
LM¯¯¯¯¯¯, where L is at (1, 9) and M is at (6, 11)
Based on the above, the segments that are perpendicular to EF are LM and NP.
Why is the segment are LM and NP perpendicular to EF ?Note that when two lines are perpendicular, we can say that;
M1 * M2 = -1 As M1 and M2 are known to be the slopes of the lines.
Therefore, when the the slope of EF is said to be −5/2, then one can say that the slope of the segment that is said to be perpendicular to EF will have to be equal to m1*m2=-1, m2=-1/m1, m2=-1/(-5/2) or m2=2/5.
Scenario one:
JK , if J is at (3, −2) and K is at (5, −7)
To find the slope JK, then
m=(y2-y1)/x2-x1)
m=(-7+2)/(5-3)
m=-5/2
-5/2 is not equal to 2/5
Therefore, JK is not perpendicular to EF
Scenario 2
Find GH , when G is at (6, 7) and H is at (4, 12)
To find the slope GH
m=(y2-y1)/x2-x1)
m=(12-7)/(4-6)
m=5/-2
m=-5/2
Since -5/2 is not equal to 2/5 then GH is not perpendicular to EF
Scenario 3:
Find LM , If L is at (1, 9) and M is at (6, 11)
To find the slope LM, then
m=(y2-y1)/x2-x1)
m=(11-9)/(6-1)
m=2/5
Since 2/5 is equal to 2/5
Then LM is perpendicular to EF
Scenario 4:
Find NP , if N is at (−3, 4) and P is at (−8, 2)
To find the slope NP, then
m=(y2-y1)/x2-x1)
m=(2-4)/(-8+3)
m=-2/-5
m=2/5
Since 2/5 is equal to 2/5.
Therefore, NP is perpendicular to EF
Based on the above calculations, the segments that are perpendicular to EF are LM and NP.
See correct format of question written below
The slope of EF is −5/2 .
Which segments are perpendicular to EF?
Select all the right answers please
1. JK , where J is at (3, −2) and K is at (5, −7)
2. GH , where G is at (6, 7) and H is at (4, 12)
3. LM , where L is at (1, 9) and M is at (6, 11)
4. NP , where N is at (−3, 4) and P is at (−8, 2)
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OK so I need help on this trigonometry problem, I need it by June 3rd HELP ME PLZ!
I asked my teacher and he said it's not a right triangle at all,
You must create a triangular Animal pen that covers 40 square yards however it has to contain a 30-degree angle. Give the lengths of two sides of a triangle that include the angle but has an area of 40 sq yards.
Answer:
a=16 b =10 or any other combination that gives 160
a = 20 b=8
a = 32 b = 5
Step-by-step explanation:
The area of a triangle using the lengths of two sides and the sine of the included angle is ½ ab sin C where a and b are sides and C is the angle.
A =40 = 1/2 ab sin 30°
sin 30° = 1/2 so
40 = 1/2*ab*1/2
40 =1/4 ab multiply each side by 4
160 = ab
any combination of sides that gives you 160 will work
Let's check if a=16 b =10
A = 1/2*16*10 sin 30°
A = 1/2*160*1/2
A = 40
What is the addition and subtraction rule with significant figures? Please give some specific examples.
When adding or subtracting numbers with significant figures, the result should be rounded to the least precise decimal place of the measurements involved.
How do you round the result when adding or subtracting significant figures?When performing addition or subtraction operations with numbers that have different levels of precision, it is important to ensure that the result is reported with the appropriate number of significant figures.
The rule states that the result should be rounded to the least precise decimal place among the measurements involved in the calculation.
For example, consider the addition of 53.5 and 46.5. Both numbers have one decimal place, so the sum should also be reported with one decimal place.
Adding the numbers gives us 100, but when applying the rule, we round the result to 100.0 to reflect the precision of the original measurements.
Similarly, if we subtracted 46.5 from 53.5, the result would still have one decimal place: 7.0.
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Answer the following.(a) A certain solution has a hydrogen ion concentration of 0.00000896 moles per liter. Write this number in scientific notation.(b) A humpback whale can weigh up to 1.1 * 10^5 pounds. Write this number in standard notation.
Given:
Two statements (a) and (b) are given.
Find:
we have to write the answers of both statments (a) and (b).
Explanation:
(a) A certain solution has a hydrogen ion concentration of 0.00000896 moles per liter
The scientific notation of 0.00000896 is
\(8.96×10^{-6}\)......................................................................................................................................
(b) A humpback whale can weigh up to 1.1 * 10^5 pounds
The standard form of the given number is given as below
\(1.1\times10^5=110000\)
I do not understand this problem pls help thank you
The value of x in the triangle LMO is 38°
What is an equation?An equation shows how two or more numbers and variables are related to each other.
∠KLO + ∠OLM = 180° (sum of angle in straight line)
134 + ∠OLM = 180°
∠OLM = 46°
∠OML + ∠OMN = 180° (sum of angle in straight line)
∠OML + 84 = 180°
∠OML = 96°
∠OLM + ∠OML + ∠LOM = 180° (angle in a triangle)
46 + 96 + x = 180
x = 38°
The value of x is 38°
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A single die is rolled. How many ways can you roll a number that is prime,
followed by a number less than 6? (Remember that 1 is not a prime number.)
Answer:
3 different ways
Step-by-step explanation:
2, 3, and 5 are all prime numbers under 6
Mr. Green is still repairing that old, rundown house he recently purchased. He finally fixed that leaky faucet in the kitchen, but now the bathroom faucet is leaking. He’s wondering if the dripping rate is the same as the kitchen, so again he starts his observations. However, this time he notes that for the bathroom faucet, 8 ounces of water dripped in 12 minutes.
A) At this rate, how many ounces of water will drip in a day?
Answer:
960 ounces in 1 day
(Sorry for a late response, I just logged on)
Step-by-step explanation:
Most of that information is negligable (not important) besides 8 ounces in 12 minutes.
so an hour is 60 minutes, if we multiply both parts of the problem by 5 we get
40 ounces in 1 hour
a day is 24 hours, so if we multiply both sides by 24 well get our answer
960 ounces a day
-- Gage Millar, Algebra 1/2 tutor
Answer:
960 ounces
Step-by-step explanation:
First, let's find how much water will drip in an hour (60 minutes), so we can make an equation:
8/12 = x/60
And if you multiply both sides of the equation by 60 you will get 8*5 = x which is 40. So, we know that in one hour, 40 ounces of water will drip from the bathroom faucet. To find how much water will drip in a day, just multiply 40 by 24 (since there are 24 hours in a day). That would result in 960.
A group of friends wants to know how many students bike to school. There are 526 students at the school. Each friend surveys a random sample of 50 students. The box plot shows their data.
How do the samples vary? In the samples, the percent of students that bike to school varies from 5%, 10%, 20%, or 25% to 10%, 15%, 20%, or 50%
Answer:
Step-by-step explanation: 20% to 50%
In the samples, the percent of students that bike to school varies from 20% to 50%.
In the data plot, 10 is the minimum and 25 is the maximum so 10/50= 0.2 or 20%. 25/50= 0.5 or 50%. Meaning it should vary from 20% to 50%.