Answer:
a₁₅ = 240 55 is not term in the sequenceStep-by-step explanation:
[tex]n(n+1)=240\\\\n^2+n-240=0\\\\n=\dfrac{-1\pm\sqrt{1-4(-240)}}{2}=\dfrac{-1\pm\sqrt{1+960}}{2}=\dfrac{-1\pm31}{2}\quad\wedge\quad n\in N_+\\\\n=15[/tex]
if n is even number then (n+1) is odd number and if n is odd number then (n+1) is even number
The product of numbers where one of them is even will always be even.
55 is odd number so it is not term of this sequence.
What is the solution of w – 4 = 18 + 3w?
Answer:
w=-11
Step-by-step explanation:
Move the w on to the right side:
-4=18+2w
Move the 18 to the left side:
-22=2w
Divide by 2
w=-11
Hope this helps!
And Brainlists plz!
Drag the two ordered pairs that are 5.5 units apart.
(-3, -3.5)
(-1.5, 2)
(-1.5, 2.5)
(5, 1.5) (5, -3.5)
(-1.5, -3.5)
Answer: (-1.5, 2) and (-1.5, -3.5)
Step-by-step explanation:
The distance between two points (a, b) and (c, d) is:
D = √( (a - c)^2 + (b - d)^2)
A simpler case, is when we have two points where one of the components is the same for both of them, like:
(a, b) and (a, c)
Then the distance will be:
D = √( (a - a)^2 + (b - c)^2 ) = Ib - cI
Then we need to look for points that have an equal component, and the difference between the other two components is exactly 5.5
The solution will be:
(-1.5, 2) and (-1.5, -3.5)
Where the x-component is the same in both of them, then the distance will be:
D = I2 - (-3.5)I = I2 + 3.5I = 5.5
Eli and his children went into a movie theater and will buy candies and pretzels. Each candy costs $3.50 and each pretzel costs $3.25. Eli has a total of $30 to spend on candies and pretzels. Write an inequality that would represent the possible values for the number of candies purchased, cc, and the number of pretzels purchased, p.p.
Answer: He spent $7.25 dollars.
Step-by-step explanation:
$3.50 + 3.25 = 7.25Inequality shows a relationship between two numbers or two expressions.
The inequality that would represent the possible values for the number of candies purchased c and the number of pretzels purchased p is
3.50c + 3.25p ≤ 30
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal =
Greater than and equal=
We have,
Cost of candy = $3.50
Cost of a pretzel = $3.25
Total amount to spend = $30
Let the number of candies = c
Let the number of pretzels = p
The inequality to spend on possible numbers of candies and pretzels:
3.50c + 3.25p ≤ 30
Thus,
The inequality that would represent the possible values for the number of candies purchased c and the number of pretzels purchased p is
3.50c + 3.25p ≤ 30
Learn more about inequalities here:
https://brainly.com/question/20383699
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how do you divde fractions with whole numbers with gemdas
Example: 3/4 x 7
3 7
x
4 1
You multiply 3 and 7 to get 21.
Then multiply 4 and 1 to get 4.
Now you have 21/4.
Finally, you simplify.
5 1/4
hope it helps! :3
Two cyclists are 7 miles apart when they begin biking away from each other in opposite directions. The speed of the first cyclist is 12 miles per hour. The speed of the second cyclist is b miles per hour greater than the speed of the first cyclist.
How many miles does the second cyclist bike in 45 minutes?
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Answer:
9 +3/4b
Step-by-step explanation:
The speed of the second cyclist is b more than 12 miles per hour, so is ...
2nd cyclist speed = b + 12
The time of interest is 45 minutes = (45/60) hours = 3/4 hours.
The distance the second cyclist travels in 3/4 hour is ...
distance = speed × time
distance = (b +12)(3/4)
distance = 3/4b +9 . . . miles
What are the four types of slopes? Write an equation for each of the four types of slopes.(in slope intercept form) 9th grade geometry HELP
Answer: positive,negative,zero,undefined,
Step-by-step explanation:
Equations examples
Positive: y=7x-4
Negative:-5x+3
Zero:y=0x-3
Undefined : x=3
Hope the image I attached helps you identify the slope easier :)
The four types of slopes are negative, positive, zero, and undefined.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
Slopes come in 4 different types: negative, positive, zero, and undefined.
Examples of equations
Positive: y=7x-4
Negative: -5x+3
Zero : y=0x-3
Undefined : x=3
Therefore, the four types of slopes are negative, positive, zero, and undefined.
To learn more about the slope of a line visit:
https://brainly.com/question/14511992.
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Using the table, find the average rate of change between x=−1 and x = 2.
It costs $26 to join Gym X, plus an additional $33 per month. It
costs $59 to join Gym Y, plus an additional $30 per month.
After how many months of membership would it cost the
same to belong to either gym?
Answer:
11 months
26+33(11)=389
59+30(11)=389
The 11 is in going for x and represents the months.
When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream after t minutes is given by C(t) = 0.08t − 0.0004t2, where 0 ≤ t ≤ 240 and the concentration is measured in mg/L.
Answer:
4mg/L
Step-by-step explanation:
Here is the complete question;
When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream after t minutes is given by
C(t) = 0.08t − 0.0004t2, where 0 ≤ t ≤ 240 and the concentration is measured in mg/L. When is the maximum serum concentration reached?
Given the concentration of the drug in the patient's bloodstream after t minutes modeled by the equation;
C(t) = 0.08t − 0.0004t^2
The maximum serum concentration is reached at when d(C(t))/dt = 0
d(C(t))/dt = 0.08-2(0.0004)t
d(C(t))/dt = 0.08-0.0008t
since d(C(t))/dt = 0
0 = 0.08-0.0008t
get the value of t
-0.08 = -0.0008t
t = 0.08/0.0008
t = 100secs
Get the maximum serum concentration reached by substituting t = 100s into the equation as shown;
C(t) = 0.08t − 0.0004t^2
C(100) = 0.08(100) − 0.0004(100)^2
C(t) = 8-0.0004(10000)
C(t) = 8-4
C(t) = 4mg/L
Hence the maximum serum concentration reached is 4mg/L
i dont know why i am in algebra when I dont understand it, is there anyone out there willing to help me understand it?
Answer:
i belive the answer is B
Step-by-step explanation:
What error did Tracy make? She used AG = 2EG, but the correct statement is 2AG = GE. She found that x = 4, but the correct value for x is 2. She used GF = 2BG, but the correct statement is BG = 2GF. She found that GF = 64, but the correct value of GF is 8.
Answer:
C. She used GF = 2BG, but the correct statement is BG = 2GF.
Step-by-step explanation:
credits to the other person!
Answer:
C.
Step-by-step explanation:
Edge 2021
An island has some portion submerged in water. Point A on the island is at negative 7 over 3 feet from the surface of the sea. Point B on the island is at negative 5 over 2 feet from the surface of the sea. Because negative 7 over 3 feet > negative 5 over 2 feet, what is true about the distance of the two points from the surface of the sea?
Answer:
1/6feet
Step-by-step explanation:
Given
Point A on the island = -7/3 feet from the sea surface
Point B on the island = -5/2 from the sea surface
The distance between the two points will be Point A - Point B
Distance between the two points = -7/3 - (-5/2)
= -7/3+5/2
Find the LCM
= {2(-7)+3(5)}/6
= -14+15/6
= 1/6
Hence the distance of the two points from the surface of the sea is 1/6feet
Answer:
1 / 6 feet
Step-by-step explanation:
The cost, in dollars, of parking a car in a busy downtown area for h hours is $15 + $5h. Which statement is correct? A. For every hour the car is parked, the cost increases by $10. B. For every hour the car is parked, the cost increases by $5. C. For every hour the car is parked, the cost increases by $20. D. For every hour the car is parked, the cost increases by $15.
Answer:
For every hour the car is parked, the cost increases by $5.
Step-by-step explanation:
The cost, in dollars, of parking a car in a busy downtown area for h hours is $15 + $5h.
The fixed cost for the parking is $15. Here, $5 is extra. It increases as the number of hours increases. For every hour, the cost increases by $5. Hence, the correct statement for the given problem is (C) "for every hour the car is parked, the cost increases by $5".
Carolyn Was asked to solve the following system of equations, her work is shown.
Answer:(11,13)
Step-by-step explanation:
3(11)-2(13)=13= 11+2
If you plug these numbers in, you get the correct answers .
²[tex]2x^2-1414x=24[/tex]
-2
What is the solution to the equation
-30 3
+
- 20-8
0-4
d+2?
O d = -4 and d = 2
O d= -2 and d = 4
O d=1
O d = 2
Answer:
It would be the 2nd one
Step-by-step explanation:
Helps me solve this problem please
Step-by-step explanation:
2x + 5y = 6
move it = y= -2x+6
the slope is -2
so, the slope is negative
If 22x = 23, what is the value of x?
Two-thirds
Three-halves
2
3
Answer:
B, or [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Got 100% on my quiz. Other guy is incorrect.
peter types 360 words in half an hour how many words would he type in 10 minutes typing at the same rate
Answer:
120 words I believe
Step-by-step explanation:
360÷3=120
I really need help with this
Answer:
a. x=11°
b. ABC=106°, BCA=33° and BAC=41°
c. Sorry but I can't see the lines l and m
Step-by-step explanation:
a. the question stated that the sum of the measures of the angles in the triangle is 180°
so therefore equate all the values in the triangle to 180°
(9x+7)+ 3(x) + (3x+8)=180°
15x+ 15=180
15x=180-15
15x=165
Divide both sides by 15
therefore x=11
b. ABC=(9x+7)
where there is x put the x value you solved for there which is 11
therefore ABC=(9×11+7)= 106°
Do the same for BCA and BAC
Is the graph linear or non-linear?
Answer:
Linear.
Step-by-step explanation:
A easy way to remember is Linear has the word line in it and Non-linear has the words no line in it. To solve the table, you can graph the points, and if you get a straight line it's linear. If you don't want to graph the points, then you need to make sure there is a pattern. The x's go up by 3 every-time and the y's go up by 5 every time. This table is linear. Hope this helps!
What is the slope intercept form of a line perpendicular to the line y= -3/2x -7 which passes through (-3,-4)?
Answer:
y= -3/2^2-7x-23/2
Step-by-step explanation:
Answer:
y=-3/2x
Step-by-step explanation:
pls helppppppp its math
Answer:
th
e last oneStep-by-step explanation:
Answer:
I think its E because it's in between E and F and E and G
Step-by-step explanation:
An airline charges more money for bags weighing over 50 pounds. Your bag weighs 45.83 pounds. How much more weight can you put in your bag before it reaches 50 pound
Answer:
4.17 Pounds
Step-by-step explanation:
To get to 50 pounds you have to subtract 50 by the amount of weight on your own bag, so 50-45.83. That would get you 4.17. Hope this helps!
10
Steve has 54 stamps in his collection of 13€,
294, and 45¢ stamps, totaling a value of $15.98.
If the number of 13¢ stamps is doubled, the
new total value of his stamp collection would
be $17.80. Find the number of each type of
stamp in his collection.
A) 14- 13€, 24 - 294, 16 - 45€
they felt like it
B) 16- 134, 25 - 294, 13- 45°
she lost a bet
C) 15 - 13€, 24-29€, 15 - 45°
she was bored
D) 15 - 13€, 25 - 294, 14- 454
she thought it was cool
E) 14- 13¢, 25 - 29%, 15 - 45°
it would be fun
Gina Wison II Ting Alpebra LC), 2016
This question was not written properly
Complete Question
Steve has 54 stamps in his collection of 13 cent, 29 cent, and 45 cent stamps, totaling a value of $15.98. If the number of 13 cent stamps is doubled, the new total value of his stamp collection would be $17.80. Find the number of each type of stamp in his collection.
Answer:
a) The number of 13 cent = 14
b) The number of 29 cent = 24
c) The number of 45 cent = 16
Step-by-step explanation:
We are told he has 54 stamps in total.
These stamps are;13 cent, 29 cent, and 45 cent stamps.
Let's
Number of 13 cent = a
Number of 29 cent = b
Number of 45 cent = c
Hence,
a + b + c = 54........... Equation 1
The total value of the 3 stamps are $15.98.
1 cent = $0.01
We have
0.13a + 0.29b + 0.45c= $15.98 ......... Equation 2
We know from the question that:
13 cent stamps is doubled, the new total value of his stamp collection would be $17.80.
Therefore
2(0.13a) + 0.29b + 0.45c = 17.8
0.26a + 0.29b + 0.45c = 17.8 ......... Equation 3
Combining Equation 2 and 3 together
0.13a + 0.29b + 0.45c= 15.98 ......... Equation 2
0.26a + 0.29b + 0.45c = 17.8 ......... Equation 3
We eliminate b and c by Subtracting Equation 3 from 3
0.13a = 1.82
a = 1.82/0.13
a = 14
a + b + c = 54........... Equation 1
Since a = 14
14 + b + c = 54
b + c = 54 - 14
b + c = 40
c = 40 - b
Substitute 40 - b for c and 14 for a is Equation 2
0.13a + 0.29b + 0.45c= 15.98 ......... Equation 2
0.13(14 ) + 0.29b + 0.45(40 - b) = 15.98
= 1.82 + 0.29b + 18 - 0.45b = 15.98
Collect like terms
1.82 + 18 - 15.98 = 0.45b - 0.29b
3.84 = 0.16b
b = 3.84/0.16
b = 24
Hence: Solving for c
a + b + c = 54........... Equation 1
14 + 24 + c = 54
38 + c = 54
c = 54 - 38
c = 16
Therefore,
The number of 13 cent = 14
The number of 29 cent = 24
The number of 45 cent = 16
Find the sum by suitable rearrangement 163+432+237+548
Answer:1380
Step-by-step explanation:
can anybody help me with this
Answer:1. 2 day
Answer:2.8/16
Answer:3.2 hours
Step-by-step explanation:make sure to rate me with 5 stars and thank me
Earth travels 30 kilometers each second as it revolves around the Sun. How many miles does Earth travel in 1 second? Round to the hundredths if necessary.
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Answer:
18.64 miles
Step-by-step explanation:
There are 1.609344 km per mile, so the distance traveled in 1 second is ...
(30 km)(1 mi)/(1.609344 km) ≈ 18.64 mi
The Earth travels around the Sun at the rate of about 18.64 miles per second.
Answer:
18.64 if rounded
Step-by-step explanation:
First you need to know how many miles is 1 kilometer. That would be approximately 0.62137 miles. Multiply this by 3 and you would get 1.86411. Now multiply this by 10 to make it 30 kilometers worth of miles and not 3 kilometers. You would get 18.6411 which rounded to the hundredths place would be 18.64.
P = 2x + 2y
solve for x
Answer:
x = [tex]\frac{p}{2}[/tex] - y
Step-by-step explanation:
Answer:
x=-y+P/2 or P/2-y=x
Step-by-step explanation:
For a complex number, multiplying by the conjugate always gives which of the following? Select one: O A Non-negative complex number O B. Non-negative real number O C. Negative real number D. Positive rational number E. Negative irrational number
Answer:
B. Non-negative real number
Step-by-step explanation:
For a complex number, multiplying by the conjugate always gives Non-negative real number