Answer:
3x-x+2=4
Step-by-step explanation:
213.9 divided by 9.3
Answer:
23
Step-by-step explanation:
I used a calculator!!
Select ALL of the perfect squares
6
100
25
5
Answer:
100 and 25 are the perfect squares
Our answers are 100 and 25.
Some insight:
6 = [tex]\sqrt{6}*\sqrt{6}[/tex] -- We cannot simplify the square root of 6 to integers, so no.
100 = [tex]\sqrt{100}* \sqrt{100}[/tex] = 10*10 -- This is a perfect square
25 = [tex]\sqrt{25}* \sqrt{25}[/tex] = 5*5 -- This is a perfect square
5 = [tex]\sqrt{5}* \sqrt{5}[/tex] -- No.
Solve for x: -3|2x + 61 = -12
-3|2x + 6| = -12
-6x - 18 = -12
-6x = 6
x = -1
(sorry if I misunderstood your question)
-5/12 • 8/13= What is the sum?
Answer:
-10/39
Step-by-step explanation:
What is the reciprocal of
2/7?
Answer:
7/2
Step-by-step explanation:
To find the reciprocal of a fraction we just flip it
2/7 =7/2
The reciprocal of 2/7 is 7/2, and it plays a significant role in various mathematical operations involving fractions.
The reciprocal of a fraction is obtained by interchanging the numerator and denominator. For the fraction 2/7, its reciprocal is 7/2. To understand why this is the case, let's break it down.
When we take the reciprocal of a fraction, we essentially flip it upside down. In the case of 2/7, we switch the positions of 2 (numerator) and 7 (denominator) to get 7/2. This reciprocal property holds true for any fraction.
The reciprocal of 2/7 is an essential concept in mathematics, especially when dealing with division of fractions. When you divide a fraction by another fraction, it is equivalent to multiplying the first fraction by the reciprocal of the second fraction. So, dividing by 2/7 is the same as multiplying by 7/2.
In conclusion, the reciprocal of 2/7 is 7/2, and it plays a significant role in various mathematical operations involving fractions.
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What is an odd number minus an odd number
Answer:
7-3
Step-by-step explanation:
Answer:
0 i think
Step-by-step explanation:
hope this helps
4. Billy Breath jogged 40 miles in 16 minutes. What is his rate of speed?
Answer:
2.5 mins
Step-by-step explanation:
Step 1:
40 : 16 Ratio
Step 2:
40 ÷ 16 Divide
Answer:
2.5
Hope This Helps :)
Answer:
i think the answer is 150 mi/h
Step-by-step explanation:
An organization has raised $4800 for a remodeling project. This is 60% of their goal.
What is their fundraising goal
Answer:
$8000
Step-by-step explanation:
1. Work out 1% of the overall value:
4800= 60%
4800/60= 1%
80= 1%
2. Use this to work out 100%:
80 x 100= 100%
8000= 100%
3. Put this back into the context of the question:
Fundraising goal= $8000
If (44)^x = 4^32, what is the value of x?
Answer:4.611*10^19
Step-by-step explanation:4^32= 1.84 *10^19/4 = 4.611*10^19
Pls help me with this
Answer:22. Plug in all the options and see if they are equal
Step-by-step explanation:
Step-by-step explanation:
Numeber 22 is D or -10
Explication
[7(2) - 4] + [9+ 8(4)]
Answer:
51
Step-by-step explanation:
[7(2) - 4] + [ 9 + 8(4)]
open brackets
[14 - 4] + [ 9 + 32]
[10] + [41]
10 + 41
= 51
how was y'alls day? :)
answer-good how was yours
Preform the indicated operation 1 1/3 times 3 3/4
Please help!
the answer is A.Sorry if i am incorrect
Ellie must mix 6 tablespoons of plant food for every 2 gallons of water. If she has 6 gallons of water,how much plant food should she use?
Which expression is the simplified form of −10+3x−x−7x+5x+7+2x
Answer:
2x - 3
I hope this helps!
helpp meeeeeee pleasereee
Answer:
take 6 divide by 11 and one :)
Step-by-step explanation:
yes this anser hope you like :)
What’s the y intercept ?
Answer:
(0,3)
Step-by-step explanation:
Rewrite the following in logarithmic form:
e^x=16
Answer:
[tex]log_e16=x[/tex]
Step-by-step explanation:
Exponential to Logarithmic: [tex]b^m=x[/tex] → [tex]log_bx=m[/tex]
Step 1: Define
eˣ = 16
b = e
x = 16
m = x
Step 2: Rewrite
[tex]log_bx=m[/tex]
[tex]log_e16=x[/tex]
You have been saving $4.50 per week for the last several weeks. Today you decide to spend $21 which is 1/6 of your savings. How much money did you have saved?How many weeks have you been saving for?
Answer:
You have $126 saved and you've been saving for 28 weeks
Step-by-step explanation:
the average person takes about 30,000 breaths per day. express this number as a single digit integer times a power of 10
Answer:
3 * 10^4
Step-by-step explanation:
Answer:
3*10^4Step-by-step explanation:
Given
Number 30000Express in scientific notation
30000 =3*10000= 3*10^4A running track in the shape of an oval is shown. The ends of the track form semicircles.
A running track is shown. The left and right edges of the track are identical curves. The top and bottom edges of the track are straight lines. The track has width 54 m and length of one straight edge 120 m.
What is the perimeter of the inside of the track? (π = 3.14)
409.56 m
480.00 m
579.12 m
616.80 m
Answer:
409.56 m
Step by step explanation:
Answer:
The answer is A.) 409.56 m Step-by-step explanation: so... yea hope this helps! :)
Write in words: 970,001
Answer:
nine hundred, seventy thousand and one
Step-by-step explanation:
Step-by-step explanation:
Nine Hundred,Seventy Thousand and One
Read the following scenarios. For each scenario you need to decide which of the following four methods is appropriate.
A. One sample t test
B. Paired samples t test
C. Independent samples t test
D. One-way analysis of variance (ANOVA)
1. A shareholders' group suspects that the mean tenure of corporate chief executive officers (CEO) is significantly greater than the 5 years that CEO supporters claim. The group has hired a statistician who is using information on tenure of the last retired CEO in a sample of 30 corporations to test this claim.
2. All employees in a firm have recently received professional development training that is designed to improve their productivity. A manager wants to know whether or not the post-training productivity differs significantly across low-, medium-, and high-education employees.
3. A computer manufacturer has designed twenty-three prototype microcomputer central processing unit chips, and is using a sample of 506 computers (22 computers carrying each prototype) to evaluate whether the mean processing time differs significantly across the twenty-three prototypes.
4. In a blind taste experiment a group of potential customers were asked to rate the taste of two different coffee brands on a scale of 0 to 10. The experimenter wants to know whether or not on average the ratings differ for the brands.
5. A bank manager wants to know whether or not the average waiting time for bank customers is significantly different between two local branches of that bank.
6. A national auto dealers association claims that the mean price of a used car is $9,987. A used car dealership manager located in the City of Baltimore wants to test this claim using a sample of 45 cars currently parked at the dealership.
7. A computer manufacturer has discovered a method to improve performance of existing CPU chips by coating those chips with a fine layer of a special patented chemical. The manufacturer wants to test the effectiveness of this method in two groups of similar computers. The CPU chips in only one group have received a coating of the special chemical.
8. A computer manufacturer has discovered a method to improve performance of existing CPU chips by coating those chips with a fine layer of a special patented chemical. The manufacturer wants to test the effectiveness of this method in a sample of 54 computers by observing CPU performance before and after applying the coating.
9. A local landscaping business owner wants to test the hypothesis that the mean tree planting time differs significantly from 2 hours for her employees.
10. An educator wants to test the hypothesis that average SAT score in the population is the same in Belgium, Denmark, and Netherlands.
11. Using random state-level household samples, a social scientist wants to know whether or not the mean household size is the same across 50 states in the U.S.
12. It has been claimed that average nursing salaries in Milwaukee, Wisconsin are lower than those in Pittsburgh, Pennsylvania. A medical professional wants to test this claim using a sample of salaries from the two cities.
13. A student government representative at a mid-sized East Coast university wants to test the mean difference in GPA at the beginning and end of the freshman year using a sample of 89 undergraduate students.
14. All employees in a firm have recently received professional development training that is designed to improve their productivity. The training provider claims that such training increases employee productivity by 10%. A firm manager has obtained estimates of change in productivity for 32 employees who received the training, and wants to test the training provider's claim.
Prove that
(a) there exist integers m and n such that 2m + 7n = 1.
(b) there exist integers m and n such that 15m + 12n = 3.
(c) there do not exist integers m and n such that 2m + 4n = 7.
(d) there do not exist integers m and n such that 12m + 15n = 1.
(e) for every integer t, if there exist integers m and n such that 15m + 16n = t, then there exist integers rand s such that 3r + 8s = t.
(f) if there exist integers m and n such that 12m + 15n = 1, then m and n are both positive.
(g) for every odd integer m, if m has the form 4k + 1 for some integer k, then m + 2 has the form 4j - 1 for some integer j. (h) for every integer m, if m is odd, then m2 = 8k + 1 for some integer k.
(i) for all odd integers m and n, if mn = 4k - 1 for some integer k, then m or n is of the form 4} - 1 for some integer j.
LStep-by-step explanation:
(a) To proof this statement choose m = 4 and n = -1, from here we have 2(4) + 7(-1) = 1 as required. Hence th statement is true.
(b) To proof this statement choose m = 1 and n = -1, from here we have 15(1) + 12(-1) = 3 as required. Hence the statement is true.
(c) To proof this statement, suppose m and n are integers, since integers are closed under addition and multiplication then 2m, 4n and 2m + 4n are all integers. Obviously 2m and 4n are even integers, therefore their sum is also an even integer. This contradicts the equation 2m + 4m = 7, hence there do not exist integers m and n that satisfy the statement.
(d) To proof this statement, suppose m and n are integers, then 12m, 15n and 12m + 15n are all integers, since integers are closed under addition and multiplication. Factoring out 3 from the sum, we have: 3(4m + 5n). Therefore 3(4m + 5n) = 1 is a contradiction, because it will give 4m + 5n = 1/3 and addition of two integers can never give a fraction.
(e) To proof this statement, suppose m and n are integers, then 15m + 16n = t can be rewritten as 3(5m) + 8(2n) = t. Since integers are closed under multiplication, then 5m and 2n are integers. Let 5m = r and 2n = s, then we have: 3r + 8s = t as required.
(f) To proof this statement, suppose that m and n are both negative integers, we see that 12m + 15n = 1 is clearly impossible because the sum would be less than 0. Therefore, if there exist integers m and n such that 12m + 15n = 1, then they must be positive.
(g) To proof this statement, suppose m is an integer and has the form 4k + 1 for some integer k, then m + 2 = 4k + 1 + 2 = 4k + 3 = 4k + 4 - 1 = 4(k + 1) - 1. Since k is an integer then k + 1 is an integer because integers are closed under addition. Therefore, put j = k + 1. Hence we have 4j - 1.
(h) suppose that m is odd, then there is an n such that m = 2n + 1, therefore m² = (2n + 1)² = 4n² + 4n + 1 = 4(n² + n) + 1. Here, we need a lemma that says: suppose k is an integer, k(k + 1) is an even integer. This can be proven intuitively, when k is odd, the term in the bracket becomes even, and the whole expression is even. If k is even, then automatically the whole expression becomes even. Hence, our lemma is proven intuitively. This implies that n² + n is an even integer and can be replaced by 2k for some k that is an integer. Therefore, we have 4(2k) + 1 = 8k + 1 as required.
(i) suppose that m and n are odd integers such that mn = 4k - 1 for some k that is an integer. If we assume that neither m nor is in the for 4j - 1, then:
mn = (4a + 1)(4b + 1) for some a and b that are integers. Expanding that we have mn = 4(4ab + a + b) + 1 which is not in the form 4k - 1 for some k that is an integer as assumed. Therefore, if m and n are odd integers such that mn is in the form 4k - 1 for some k that is an integer, then m and n are in the form 4j - 1 for some j that is an integer.
We can and should control our thoughts. True False
Answer:
True
Step-by-step explanation:
Only we can control ourselves, but if something is coming in our head and we want to think of something else we can. It could be hard for some but you can with effort
Hope this helps (:
Answer: True
Step-by-step explanation: Because I got it right on edge
To solve 38 = 6x - 16, you would subtract 16 and then divide by 6.
true
or
false
Answer:
true to some extent
Step-by-step explanation:
you would subtract 16 from both sides of the = sign. 38-16 is 22 and you divide that by 6 and you get x
Write the phrase 'The quotient of 8 and a number p" as an expression
Answer:
8 divided by p
Step-by-step explanation:
Solve for y: 3x < 2y - 6
Answer: y>6
Step-by-step explanation:
y>3x+6
y>3(0)+6
y>6
128.5 divided by 4.5
Answer:
the answer is 28.555555 and so on
Step-by-step explanation:
if you want it rounded then-
to the nearest hole number it would be 29
to the tenth it would be 28.6
to the hundredth its 28.56
The division of 128.5 by 4.5 is 28.555555.. It is a repeating number.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the two numbers are 128.5 and 5. The division of the number 128.5 by 4.5 will be done as,
if you want it rounded then-
To the nearest whole number, it would be 29
To the tenth, it would be 28.6
To the hundredth, it's 28.56
Hence the division of the number will be 28.5555...
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The auxiliary bookstore in the student center has one checkout counter where one employee operates the cash register. Customers arrive at a rate of 24 per hour following a Poisson distribution and service times are exponentially distributed, with a mean rate of 30 customers per hour. The average purchase per customer is $48. The bookstore considers adding another employee to assist the present operator. There are several options to utilize this additional staff. One is to enable more customers to be served in less time, thus increasing the service rate from 30 customers per hour to 40 customers per hour. Alternatively, the bookstore could redesign to add a second cash register, one has its own line. Assume existing customers split evenly between the two cash registers and each has her/his own line, just like most grocery stores. Finally, the bookstore can use this additional staff as a second register but unlike option 2, there is only one combined line shared by these two registers (like most of the bank tellers). Assume the hourly rate for each employee is $20, regardless what job do they perform. Assume that each customer is only waiting for up to 1 minute to be served, or would renege (i.e., leave the store unpurchased). Which option should the bookstore adopt to minimize the total cost?
Answer and explanation:
Find attached
Both customers' arrival and service times follow exponential distribution. We have calculated the essential operating characteristics of this queuing system