Answer:
9 is correct answer
Step-by-step explanation:
[tex] {x}^{2} - 6x - 27 \\ = {x}^{2} - 9x + 3x - 27 \\ = x(x - 9) + 3(x - 9) \\ = (x + 3)(x - 9)[/tex]
x=9
Answer:
(x - 9)(x + 3)
Step-by-step explanation:
Given
x² - 6x - 27
Consider the factors of the constant term (- 27) which sum to give the coefficient of the x- term (- 6)
The factors are - 9 and + 3, since
- 9 × 3 = - 27 and - 9 + 3 = - 6, thus
x² - 6x - 27 = (x - 9)(x + 3)
About half of the world’s population of 7.8 billion people live in urban areas. How many
people live in urban areas?
Korey is planning to open a comic book store. His store will cost $12,500 to open and will come with a $8,000 total annual operational cost. If his store makes $12,000 in profit during the first year, and profits increase by 6% each year from then, how long will it take for Korey to see an overall profit in his business (where total profits exceed total expenses)? a. Korey will see an overall profit in his first year of business. b. Korey will see an overall profit in his second year of business. c. Korey will see an overall profit in his third year of business. d. Korey will see an overall profit in his fourth year of business.
Answer:
c. Korey will see an overall profit in his third year of business
Step-by-step explanation:
His cost for first year
= 12500+8000
=$ 20500
Profit first year= $12000
Net Profit first year= -$8500
Second year cost= $8000
Profit second year
= 12000+12000(0.06)
= 12000+720
=$ 12720
Net profit second year = -8500+12720-8000
= -3780
Third year
Cost = $8000
Profit= 12720+12720(0.06)
Profit=$13483.2
Net profit= 13483.2-8000-3780
Net profit= $1703.2
Korey will see an overall profit in his third year of business.
What is profit?The amount of money earned by any seller on the cost price is called the yield.
His cost for the first year
= 12500 + 8000
=$ 20500
Profit first year= $12000
Net Profit first year= -$8500
Second year cost= $8000
Profit second year
= 12000+12000(0.06)
= 12000+720
=$ 12720
Net profit second year = -8500+12720-8000
= -3780
Profit for Third-year
Cost = $8000
Profit= 12720+12720(0.06)
Profit=$13483.2
Net profit= 13483.2-8000-3780
Net profit= $1703.2
Therefore Korey will see an overall profit in his third year of business.
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Please answer this ASAP please!!!
Amelia rolls two fair number cubes numbered from 1 to 6. She first defines the sample space as shown below: (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6) (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6) (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6) (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6) (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6) (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) Based on the sample space, what is the probability of getting a total of 4? Just say a simple answer, please.
Answer:
1/12
Step-by-step explanation:
There are 36 possible outcomes
Out of the 36 there are only 3 where the sum is 4 that is (1,3),(2,2),(3,1)
Hence probability= 3/36 which equals to 1/12
Answer:
you just add them together
What point on the number line below represents the opposite of -4
Solve for (4x+6)+(-x+2) please i need help
Answer:
3x - 8
Step-by-step explanation:
Step 1:
( 4x + 6 ) + ( - x + 2 )
Step 2:
4x - 6 + - x - 2
Step 3:
3x - 6 - 2
Answer:
3x - 8
Hope This Helps :)
Answer:
(3x+8)
Step-by-step explanation:
(4x+6)+(-x+2)
combine like terms
(4x+-x)+(6+2)
you would end up with
(3x+8)
Determine the value of the variables a, b, and when simplifying and evaluating the expression. 3/^8 3/^4 =a^b= c
a=
b=
c=
Answer:
A=3
B=4
C=81
Step-by-step explanation:
Just did it
Answer:
a =
✔ 3
b =
✔ 4
c =
✔ 81
1. Which statement is true?
4.
A. 7.5 is 10 times as much as 750.
A
B. 0.2 is 1/10 of 2
E
C. 65 is 10 times as much as 0.065.
D. 70 is 1/10 of 7,000.
Answer:
B
Step-by-step explanation:
B is true because 0.2 x 10 = 2
If x =7/8 cm, y =1/4 cm, and z = 5/8 cm, what is the volume of the rectangular prism above?
find the exponential nation of 3125
Step-by-step explanation:
I hope this would be the right answer....
[tex]-2(3 - 2x) = -6x + 8(x + 2)[/tex]
solve step by step
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 11}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 2(3 - 2x) = - 6x + 8(x + 2)}[/tex]
Distribute -2 through the parentheses
Similarly, Distribute 8 through the parentheses
[tex] \dashrightarrow{ \sf{ - 6 + 4x = - 6x + 8x + 16}}[/tex]
Collect like terms
[tex] \dashrightarrow{ \sf{ - 6 + 4x = 2x + 16}}[/tex]
Move 2x to left hand side and change it's sign
Similarly, move 6 to right hand side and change it's sign
[tex] \dashrightarrow{ \sf{4x - 2x = 16 + 6}}[/tex]
Collect like terms
[tex] \dashrightarrow{ \sf{2x = 16 + 6}}[/tex]
Add the numbers : 16 and 6
[tex] \dashrightarrow{ \sf{2x = 22}}[/tex]
Divide both sides by 2
[tex] \dashrightarrow{ \sf{ \frac{2x}{2} = \frac{22}{2} }}[/tex]
Calculate
[tex] \dashrightarrow{ \sf{x = 11}}[/tex]
Hope I helped!
Best regards! :D
Bargain Rental Car offers rental cars in an off-airport location near a major tourist destination in California. Management would like to better understand the variable and fixed portions of it car washing costs. The company operates its own car wash facility in which each rental car that is returned is thoroughly cleaned before being released for rental to another customer. Management believes that the variable portion of its car washing costs relates to the number of rental returns. Accordingly, the following data have been compiled:
Month Rental Returns Car Wash Costs
January 2,300 $ 10,200
February 2,500 $ 12,700
March 2,700 $ 11,000
April 2,900 $ 13,100
May 3,600 $ 15,400
June 4,900 $ 21,700
July 5,400 $ 21,400
August 5,300 $ 20,200
September 4,600 $ 22,000
October 3,800 $ 18,700
November 2,100 $ 9,900
December 2,500 $ 11,400
2. Using least-squares regression, estimate the variable cost per rental return and the monthly fixed cost incurred to wash cars. What is the R2 rounded to the nearest whole percentage? (Round Fixed cost to the nearest whole dollar amount and the Variable cost per unit to 2 decimal places.)
Answer:
Variable cost $3.79 ; fixed cost = $2185.47
Step-by-step explanation:
Given the data :
Rental return(x) :
2300
2500
2700
2900
3600
4900
5400
5300
4600
3800
2100
2500
Car wash cost :
10200
12700
11000
13100
15400
21700
21400
20200
22000
18700
9900
11400
Using the online regression calculator :
The obtained regression equation is :
ŷ = 3.79X + 2185.47
Comparing the obtained result with the general form of the equation:
y = mx + c
Where m = gradient or slope whose value gives the variation in cost per rental return (x)
c = intercept, which is constant or fixed, it is the value where the regression line crosses the y axis, hence, it corresponds to the fixed cost.
Hence,
The variable cost per rental return(m)
mx = 3.79x
m = $3.79
The fixed cost :
c = $2185.47
Classify each sample as random, systematic, stratified, or cluster
1. In a large school district, all teachers from two buildings are interviewed to determine whether they believe the students have less homework to do now than in previous years.
2. Every seventh customer entering a shopping mall is asked to select his or her favorite store.
3. Nursing supervisors are selected using random numbers in order to determine annual salaries.
4. Every hundredth hamburger manufactured is checked to determine its fat content.
5. Mail carriers of a large city are divided into four groups according to gender (male or female) and according to whether they walk or ride on their routes. Then 10 are selected from each group and interviewed to determine whether they have been bitten by a dog in the last year.
Answer:
(1) Cluster sample
(2) Systematic sample
(3) Random sample
(4) Systematic sample
(5) Stratified sample
Step-by-step explanation:
A simple random sample is a part of a statistical population in which every individual of the population has an equal probability of being selected.
Assigning each individual of the population a unique number and using a computer or random number generator for selection is a procedure to select a simple random sample.
Stratified sampling is a kind of sampling in which whole-population is distributed into homogeneous subgroups before one takes a sample. These subgroups are called strata which is mutually exclusive or related.
In this process the population members cannot be excluded.
Cluster Sampling is a method to randomly select samples from a population that is too enormous for simple random sampling.
Using cluster sampling, the experimenter distributes the entire-population into distinct groups, called clusters. Then, a simple random sample of clusters is chosen from the population. Then the experimenter performs the analysis on data from the sampled clusters.
Systematic sampling is a kind of probability sampling method in which individuals from a larger population are nominated according to a random initial point and a static, periodic interval.
Consider all the definitions of different types of samples.
(1) Cluster sample
(2) Systematic sample
(3) Random sample
(4) Systematic sample
(5) Stratified sample
Using sampling concepts, it is found that the classifications are:
1. Cluster
2. Systematic
3. Random
4. Systematic
5. Stratified
Samples are classified as:
Random: All the options into a hat and drawn some of them. Systematic: Every kth element is taken. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed. Stratified: Also divides the population into groups. However, only some elements of each group are surveyed.Item 1:
Teachers divided into groups according to their school, and all teachers are interview, hence Cluster sampling is used.
Item 2:
Every 7th customer, that is, every kth customer, hence Systematic sampling is used.
Item 3:
Random numbers, hence, Random sampling is used.
Item 4:
Every 100th customer, that is, every kth customer, hence Systematic sampling is used.
Item 5:
Four groups, then 10 for each group are selected, that is, a few members, hence Stratified sampling it used.
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The U.S. Department of Agriculture reported that out of every milk drinkers drink skim milk. If a storeowner orders gallons of milk, how many should be skim? Round the answer to the nearest gallon. To supply all of the skim milk drinkers, out of the gallons of milk ordered, gallons were skim milk.
Complete Question
The complete question is shown on the first uploaded image
Answer:
The value is [tex]s = 12 \ gallons[/tex]
Step-by-step explanation:
From the question we are told that
The number of milk drinkers considered is [tex]m = 100[/tex]
The number of skim milk drinkers [tex]n = 50[/tex]
The gallons of milk supplied is q = 23 gallons
Generally the proportion of skim milk drinkers is mathematically represented as
[tex]p = \frac{n}{m}[/tex]
[tex]p = 0.5[/tex]
Generally the gallons of milk order that is skim milk is mathematically represented as
[tex]s = 0.5 * 23[/tex]
=> [tex]s = 12 \ gallons[/tex]
The graph of the line 4x+3y= 12 is translated right 1 unit and down 3 units. What is the equation of the new line?
Answer: y = 7/3 - (4/3)*x
Step-by-step explanation:
First, let's write our line in the notation:
y = f(x)
So we must isolate y in the equation:
4x + 3y = 12
3y = 12 - 4x
y = 12/3 - (4/3)*x = 4 - (4/3)*x
Now, we have two translations, one horizontal and one vertical.
Let's define them in general cases:
Horizontal translation.
When we have y = f(x) and we want to do a horizontal translation of A units to the right (A positive) we have:
y = g(x) = f(x - A)
So we replace our variable x by x - A.
Vertical translation.
When we have y = f(x) and we want to do a horizontal translation of A units up (A positive) we have:
y = g(x) = f(x) + A.
Then in this case we have:
y = f(x) = 4 - (4/3)*x
then, the horizontal translation of 1 unit to the right is:
y = f(x - 1) = 4 - (4/3)*(x - 1)
And the translation of 3 units down (a vertical translation) is:
y = f(x - 1) - 3 = 4 - (4/3)*(x - 1) - 3 = 1 + 4/3 - (4/3)*x
y = 7/3 - (4/3)*x
This equation represents the new line.
How many times as large 12 is than 2
Answer:
12 is 6 times larger than 2
Step-by-step explanation:
2*6=12
Answer:
12 is 6 times larger than 2.
Step-by-step explanation:
12, 6, and 2 are all common. Let's say we multiply 2 by 6, we get 12. We divide 12 by 2, we get 6.
For every 8 boys signed up for intramural basketball, there are 6 girls. If there are 48 boys signed up to play intramural basketball, how many girls are signed up? 30 girls 33 girls 36 girls 42 girls
Answer:
36 girls signed up
Step-by-step explanation:
1. Create a ratio for boys to girls: 8:6
2. Multiply 8 * 6 to get 48 (amount of boys who signed up.)
Whatever we do one on side we do to the other, so multiply the girls by 6.
6 * 6 = 36
48:36 = 8:6
these ratios are proportional
a sequence of numbers begins at 400. If the pattern increases by consecutive multiples of 5 starting with 5, then find the next 3 numbers in the sequence 400, ___, ___, ___, ...
Given :
A sequence of numbers begins at 400.
To Find :
If the pattern increases by consecutive multiples of 5 starting with 5, then find the next 3 numbers in the sequence 400, ___, ___, ___ .
Solution :
This is the a question of arithmetic progression .
The first term is , a = 400 .
Now , it is given that the next numbers increase by the multiples of 5 starting with 5 .
So , common difference is , d = 5 .
Now , we know , [tex]n^{th}[/tex] number in A.P is given by :
[tex]a_n=a+(n-1)d[/tex]
Putting value of n = 2 , 3 , 4 .
We get :
[tex]a_2=a+(2-1)d=400+5=405\\\\a_3=a+(3-1)d = 400 + (5\times 2) = 410\\\\a_4=a+(4-1)d = 400 +(5\times 3)=415[/tex]
Therefore , the next 3 numbers in the sequence is 400 , 405 , 410 , 415 .
Hence , this is the required solution .
Find the distance between the two points shown
a.5
b.7
c.21
d.27
Answer:
B. 7Step-by-step explanation:
The question lacks the required diagram. Find the diagram attached.
From the diagram it can be seen that the line is parallel to the y axis, hence we are going to locate each endpoints on the y axis.
The lower end point is on 2units while the upper end point is on 9 units both on the y axis. The distance between this two points will be the difference between the end point values i.e 9-2 = 7 units.
Hence the distance between the two points shown is 7 units
15. After 20 minutes at work, Ellen was able to finish 3 tasks. If she works an 8 hour day, how
many tasks should she expect to finish?
Answer:
72
Step-by-step explanation:
An hour is 60 minutes.
Multiply the amount of tasks to the amount of times 20 goes into 60 (60/20).
3×3= 9
Once you have the amount of tasks finished in an hour (9 tasks), you will multiply 8 hours by 9 tasks.
8×9= 72
What are 3 careers where similarity is used
Answer:
Management Farming Construction
Step-by-step explanation:
all real numbers at least -5 and at most 9
Write an equation of a line perpendicular to
y = 2/7x - 5 through (2, -3)
Hi there! :)
Answer:
[tex]\huge\boxed{y = -7/2x + 4}[/tex]
Given equation:
y = 2/7x - 5
A perpendicular line will have a slope that is the opposite reciprocal, therefore:
2/7 --> -7/2
Substitute the x and y coordinates of the point given to write an equation in slope-intercept form:
(-3) = -7/2(2) + b
Simplify:
-3 = -7 + b
-3 + 7 = b
b = 4
Rewrite the equation:
y = -7/2x + 4
The following are molecular formulas. Which formula represents an alkene? Decane (C10H22) Butane (C4H10) Ethane (C2H6) Propene (C3H)
Answer: Propene (C3H6)
Step-by-step explanation: Using the formula CnH2n to solve for Alkenes, propane is the only molecule that has an alkene, with twice as many hydrogen and carbon Atoms
The Alkene is the propene having Molecular formula [tex]C_3H_6[/tex].
What is Alkene?Alkenes are acyclic (branched or unbranched) hydrocarbons having one carbon-to-carbon double bond (C=C) and the general molecular formula CnH2n
Given:
For First, Carbon have 10 molecules then alkene have 2(10) = 20 Hydrogen.
So, (C10H22) is an Alkane.
Second, Carbon have 4 molecules then alkene have 2(4) = 8 Hydrogen.
So, (C4H10) is an Alkane.
Third, Carbon have 2 molecules then alkene have 2(2) = 4 Hydrogen.
So, (C2H6) is an Alkane.
Fourth, Carbon have 3 molecules then alkene have 2(3) = 6 Hydrogen.
So, (C3H6) is an Alkene.
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Simplify the given expression.
6•9^3=
Answer:
4,374
Step-by-step explanation: solve the exponent first then do the multiplication
If you were 10 years old on
Earth, you would be 41.494 years old
on Mercury. Write the age on Mercury
as a mixed number in simplest form.
Answer:
[tex]41\frac{247}{500}[/tex]
Step-by-step explanation:
41.494
= [tex]41\frac{494}{1000}[/tex]
to simplify the fraction 494 /1000, we have to find and divide both numerator and denominator by the their highest common factor
494 = 2 x 13 x 19
1000 = 2 x 2 x 2 x 5 x 5 x 5
comparing the two, we can see that that the only common factor that both numbers share is 2, hence we divide both numerator and denominator by 2
41 494/1000
= [tex]41\frac{494}{1000}[/tex]
= [tex]41\frac{494/2}{1000/2}[/tex]
= [tex]41\frac{247}{500}[/tex]
A silo is a building shaped like a cylinder used to store grain. The diameter of a particular silo is 6.5 meters, and the height of the silo is 12 meters.
Hey there! I'm happy to help!
To find the volume of a cylinder, you multiply the base by the height.
First, we find the base. The base is a circle. To find the area of a circle, you square the radius and multiply it by pi (we will use 3.14). The radius is half the diameter.
6.5/2=3.25
We square this.
3.25²=10.5625
And multiply by 3.14
10.5625(3.14)=33.16625
Now we multiply this by the height.
33.16625(12)=397.995
Therefore, the volume of this silo is 397.995 cubic meters.
Have a wonderful day! :D
Given that 4x - 2y < 8, solve for y. Put them in order from steps . plz help
Answer:
y > 2x - 4
Step-by-step explanation:
Step 1: Write out inequality
4x - 2y < 8
Step 2: Subtract 4x on both sides
-2y < -4x + 8
Step 3: Divide both sides by -2
y > 2x - 4
Find the length of an arc of a circle with radius 18 cm if the arc subtends a central angle of 30°.
Answer: 9.42 cm.
Step-by-step explanation:
Length of arc is given by :-
[tex]l= \dfrac{x}{360}\times2\pi r[/tex] , where r= radius and x= central angle subtended by arc.
As per given , we have
[tex]x=30^{\circ}\\\\ r=18\ cm[/tex]
Then, the length of arc will be :
[tex]l=\dfrac{30}{360}\times2(3.14)(18)\\\\=\dfrac{1}{12}\times113.04\\\\=9.42\ cm[/tex]
Hence, the length of arc is 9.42 cm.
The length of an arc of a circle with radius 18cm is; L = 9.426cm
Length of an arcThe length of an arc can be evaluated using the formula;
L = (∆/360) × 2πrHence, the length of the given arc is;
L = (30/360) × 2 × 3.142 × 18cmL = 9.426cmRead more on length of an arc;
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Skkskskswks
................
Answer:
Skkskskswks....................
Step-by-step explanation:
???
Answer:
sksksksksksksksk.
Step-by-step explanation:
equals visco girl.
15 POINTS
1. name two planes that intersect in WX in the figure to the right
plane UVR and plane XTS
plane UVW and plane UVR
plane UVW and plane XTS
plane VUX and plane VWS