Answers
This is because we're adding -6 to each term, i.e. subtracting 6 from each term, to get the next term
-2+(-6) = -8-8+(-6) = -14-14+(-6) = -20-20+(-6) = -26and so on. The gap between adjacent terms is the same width. We say that the common difference is d = -6.
Related Questions
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, can the company build 20 child bikes and 6 adult bikes in a week.
No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Answers
9514 1404 393
Answer:
(a) No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Step-by-step explanation:
Build times are 4 hours for a child's bike and 6 hours for an adult's bike. The number of build hours cannot exceed 120. This gives the first inequality:
4c +6a ≤ 120
Test times are 4 hours each. The number of test hours cannot exceed 100. This gives the second inequality:
4c +4a ≤ 100
This pair of inequalities matches choices A and C.
When we use c=20 and a=6, these become ...
4(20) +6(6) = 116 ≤ 120 . . . true
4(20) +4(6) = 104 ≤ 100 . . . false
The order cannot be built because the test time constraint cannot be met. This matches choice A.
How many different ways may a set of 4 books be arraged side by side on a shell?
Answers
Answer:
24
Step-by-step explanation:
4 * 3 * 2 * 1 = 24
(b) A telemarketing supervisor tells a new worker that the odds of making a sale on a single call are 4 to 19. What is the probability of a successful call
Answers
Answer:
0.1739 = 17.39% probability of a successful call.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The odds of making a sale on a single call are 4 to 19.
This means that in 4 + 19 = 23 calls, 4 are successful.
What is the probability of a successful call?
[tex]p = \frac{4}{23} = 0.1739[/tex]
0.1739 = 17.39% probability of a successful call.
-5х = y – 5
—2y = x — 21
Answers
9514 1404 393
Answer:
(x, y) = (-1 2/9, 11 1/9)
Step-by-step explanation:
My favorite solution method is a graphing calculator. It shows the solution to this system of equations is ...
(x, y) = (-1 2/9, 11 1/9)
__
When the solutions are not integers, sometimes solutions involving elimination or substitution get into arithmetic with fractions. Using matrix methods, such as Cramer's Rule can avoid that until the last step. Here, we'll use a "cross multiplication" method.
First we put both equations into general form.
5x +y -5 = 0
x +2y -21 = 0
Now, we consider the array of coefficients, with the first repeated as the last:
5, 1, -5, 5
1, 2, -21, 1
The differences of cross products of adjacent columns are ...
d1 = (5)(2) -(1)(1) = 10 -1 = 9
d2 = (1)(-21) -(2)(-5) = -21 +10 = -11
d3 = (-5)(1) -(-21)(5) = -5 +105 = 100
The relation ...
1/d1 = x/d2 = y/d3
specifies how these differences are used to find the solutions.
x = d2/d1 = -11/9 = -1 2/9
y = d3/d1 = 100/9 = 11 1/9
The solution is (x, y) = (-1 2/9, 11 1/9).
Two of the desserts are sugar free
Three of the drinks are sugar free
Answers
Answer: 8/15
Step-by-step explanation:
You need part a of the question to answer this question correctly. In part a of the question it is said there is 6 sandwiches, 3 desserts and 5 drinks.
Two of the desserts are sugar free (2/3).
Four of the drinks are sugar free (4/5)
Times these fractions together, 2/3x4/5= 8/15.
Hope this helps :)
what that two numbers when multiplied give 600 and when added give 59
Answers
Answer:
Step-by-step explanation:
Let the 2 numbers be x and y
From the problem we have that
x * y = 600 and x + y = 59
From x + y = 59 -> x = 59 - y
Plug x = 59 - y to x * y = 600 we have
(59 - y) * y = 600
-> 59y - y^2 = 600
-> -y^2 + 59y - 600 = 0
-> y = [tex](59 - \sqrt{1081})/2[/tex] or [tex](59 + \sqrt{1081})/2[/tex]
Then we could plug the answers in and find x because x = 59 - y
how do i solve this problem
Answers
Answer:
5 sqrt(2) =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hypotenuse
sin 45 = x / 10
10 sin 45 = x
10 ( sqrt(2)/2) =x
5 sqrt(2) =x
11% of the animals at an animal shelter are dogs. About what fraction of the animals at the shelter are dogs?
HELPPPP
Answers
Answer:
0.11
Step-by-step explanation:
Write down the percent divided by 100 like this:percent 100
Then if the percent is not a whole number then multiply both top and bottom by 10 for ever
Simplify Complex Numbers
Answers
3.
√250 = √(25 * 10) = √(5^2 * 10) = √(5^2) * √10
… = 5 √10
=> a = 5
4.
√(-300) = √(-1 * 3 * 100) = √(-1 * 3 * 10^2) = √(-1) * √3 * √(10^2) = i * √3 * 10
… = 10i √3
=> -a = 10 and b = 3 => a = -10 and b = 3
=> a - b = -10 - 3 = -13
what is the domain of the table
Answers
Answer:
Letter A
Step-by-step explanation:
The domain is the input or the x-value
The range is the output or the y-value
Hope this helps
Plzzz help I don’t have a lot of time
Answers
Answer:
7
Step-by-step explanation:
It’s a right angle, so you can add the two expressions togther to get 90, then isolate x.
(8r-6)+(5r+5)=90
13r-1=90 (combine like terms)
13r-1+1=90+1 (add 1, addition property of equality)
13r=91
13r/13=91/13
r=7
Express 240g as a percentage of 2.5kg
Answers
Answer:
0.1%
Step-by-step explanation:
Given that 240 g of 2.5 kg
We have to express this in percentage
But we know that 1 kg = 1000 g, So first convert 2.5 kg to g
2.5 kg = 2.5 x 1000 g = 2500 g
The formula of "a" % of "b" is given as:
[tex]percentage= \frac{a}{b}[/tex] × 100
Hence, 240 g as a percentage of 2500 g is given as:
[tex]= \frac{250}{2500}[/tex] × [tex]100[/tex]
= [tex]\frac{1}{10}[/tex] = 0.1
Thus, the answer is 0.1 %
Given: AC and DB bisect each other.
Prove: AABE ACDE. HELP WILL GIVE BRAINLEST AND 5 stars
Answers
Answer: XY ≅ WZ
Hope this helps...
Have a great day!
Multiple Select
Although there are many more, choose THREE reasons the U.S. government is strongly encouraging Sl to be used at all levels of
education.
students educated to use the metric system will be able to excel in the global marketplace
using the metric system helps students be more creative
the mandatory conversion from U.S. measurements to metric is official in 2020
the metric system is simpler for students to learn
education in math and science will become more efficient
Answers
Answer:
watts
Step-by-step explanation:
Answers:
students educated to use the metric system will be able to excel in the global marketplaceeducation in math and science will become more efficientthe metric system is simpler for students to learnwhat is the actual standard deviation for 68,68,68,68,68 133,133,133,133,133,
Answers
Answer: 21380.573997076
Step-by-step explanation:
In physics class, Carrie learns that a force, F, is equal to the mass of an object, m, times its acceleration, a. She writes the equation F=ma.
Using this formula, what is the acceleration of an object with F=7.92 newtons and m=3.6 kilograms? Express your answer to the nearest tenth.
The temperature measured in Kelvin (K) is the temperature measured in Celsius (C) increased by 273.15. This can be modeled by the equation K = C + 273.15.
When solved for C, the equation is
C = K – 273.15
C = 273.15 – K
C = K + 273.15
C = 273.15K
Answers
Which ordered pair is a solution to the system of equation.
Answers
Answer:
The answer is the third option, (-2,1)
A farmer introduces 100 trout into his pond. ♀️♀️ pls help
Answers
Answer:
The horizontal asymptote represents the terminal population of the trout.
Step-by-step explanation:
The horizontal asymptote of the given rational function is the limit of [tex]p(t)[/tex] when [tex]t \to +\infty[/tex]. That is:
[tex]\lim_{t \to \infty} p(t) = \lim_{t \to \infty} \frac{150\cdot t + 100}{0.04\cdot t + 1}[/tex] (1)
Then, we apply the concept of limits for rational-polynomial functions:
[tex]\lim_{t \to \infty} \frac{\frac{150\cdot t}{t} + \frac{100}{t}}{\frac{0.04\cdot t}{t} + \frac{1}{t} }[/tex]
[tex]\lim_{t \to \infty} p(t) = 3750[/tex]
The horizontal asymptote represents the terminal population of the trout. In this case, the terminal population of the trout is 3750.
please help me solve this
Answers
Answer:
(0, 3), (4, -5)Step-by-step explanation:
y = x² - 6x + 3y = -2x + 3Solve by substitution:
x² - 6x + 3 = -2x + 3x² - 4x = 0x(x - 4) = 0x = 0 ⇒ y = -2*0 + 3 = 3x = 4 ⇒ y = -2*4 + 3 = -5I dont know how to do this please help me
Answers
=
−
2
x
+
5
y
=
-
2
x
+
5
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
−
2
-
2
y-intercept:
(
0
,
5
)
(
0
,
5
)
Any line can be graphed using two points. Select two
x
x
values, and plug them into the equation to find the corresponding
y
y
values.
Tap for more steps...
x
y
0
5
5
2
0
problem 17=A
problem 4= C
problem 9= B
problem 11= C
problem 14= D
1. The freezing point of water varies directly with the salt content of the water. Fresh water (no salt content) freezes at a temperature of 0°C. Ocean water has a salt content of 3.5% and freezes at -2°C. Identify the independent and dependent variables. Explain your choices.
Answers
Answer:
well its -3
Step-by-step explanation:
i did the work
Which algebraic expression has a term with a coefficient of 9? O A. 6(x + 5) O B. 6x - 9 O C. 6+ x - 9 O D. 9x=6
Answers
Answer:
D is the answer to your question
Use the data in the table to complete the sentence. x y –2 7 –1 6 0 5 1 4 The function has an average rate of change of __________.
Answers
Answer: -1
Step-by-step explanation:
Just took the test
,and the equation is y=-1x+5, so the change of x is -1
Answer:
The answer is -1
Step-by-step explanation:
In a math class with 26 students a test was given the same day that an assignment was due. There were 17 students who passed the test and 18 students who completed the assignment. There were 15 students who passed the test and also completed the assignment. What is the probability that a student who failed the test completed the homework?
Answers
Answer:
3/26 is the answer........
What is the value of xin the diagram below? If necessary, round your answer
to the nearest tenth of a unit.
14
B
х
D
с
30
A. 6.5
B. 16
C. 14
D. 30.1
Answers
Answer:
the answer is letter A. 6.5
Step-by-step explanation:
it's correct if I'm rwong ( ╹▽╹ )
Find the point on the terminal side of θ = three pi divided by four that has a y coordinate of 1. Show your work for full credit.
Answers
Answer:
Remember that tan=y/x from your notes from module 4.
Step-by-step explanation:
Refer to the unit circle to see the relationship between x and y at that angle, it is -1. Now you can set up your equation of tan=1/x and solve for x.
For all the problems in this section you can set up an equation where tan=y/x, sin = y/h, and cos=x/h. Then using your equation you can solve for whatever number is missing.
Answer:
-1/1
Step-by-step explanation:
What amount of simple interest would you pay on a 2000 loan at 8% interest for 3 years
Answers
Answer:
480 is right answer of the question
definition of descartes
Answers
Answer:
French philosopher and mathematician; developed dualistic theory of mind and matter; introduced the use of coordinates to locate a point in two or three dimensions (1596-1650)
Why do we divide log2(4) by 15 and why log4(15) turned to log2(15) i need deep explanation and understand the rest but i didnt get where the first step came from
Answers
Answer:
see below
Step-by-step explanation:
log 4 (15)
We need to change the base from 4 to 2
log b (a) = log x(a) / log x(b) where x is the base that we need
log4 (15) = log 2 (15) / log 2 (4)
Identify which shapes are similar to shape A and which are not.
Answers
Answer: Shape 3 and Shape 2
Hope this helps...
Have a great day.
