the nth term of a sequence is 20-n^2
a) find the third term of the sequence
b) which term in the sequence is the first to have a negative value
Answer:
a) 20 - 3^2 = 11
b) 5th, 20 - 5^2 = -5
Step-by-step explanation:
The answer assumes your terms begin at 1. If the terms begin at zero
a) 16
b) 6th term
if you chose to be extremely technical you would take the square root of 20.1 or 20.00000009 but I'm assuming they want whole numbers
Answer:
a)11
b)5th term
Step-by-step explanation:
Pleas help I am brainliesting and show the steps
Answer:
2 and 1/3 ---->>> 2 1/3
Step-by-step explanation:
At 4, its 4 cm
Within 3 hours it has gained 7 cm
7/3=2.33333
2 1/3 would be the mixed number
can i get brainliest please?
what is 20 1/6% as a fraction
Answer:
1.6
Step-by-step explanation:
1 x 20
6 x 1
=
20
6
You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 20 and 6 is 2.
We can now divide both the new numerator and the denominator by 2 to simplify this fraction down to its lowest terms.
20/2 = 10
6/2 = 3
10/3
The complete and simplified answer to the question what is 1/6 of 20 is:
3 1/3 = 1.6
so basically what i did is convert 3 1/3 as a simplified fraction and got 1.6
(–15)0 is it less than one? Zero is an exponent.
Answer:
Yes its less than 0
Step-by-step explanation:
it would go behind the 0 on a number line
Find the x- and y-intercepts of the graph of the linear equation −4x+3y=−30
Answer:
y-int = -10, x-int = 15/2
Step-by-step explanation:
y int:
-4(0)+3y=-30
3y=-30
y=-10
x int:
-4x+3(0)=-30
-4x=-30
x=30/4=15/2
Find the measure of the missing angle
A famous recipe for New Orleans jambalaya calls for 1 1/4 cups of Gulf shrimp. The recipe serves 5 people. Trinetta and Agnes want to serve 12 people, so they increase all the ingredients proportionally. How much Gulf shrimp is required for the new recipe?
A. 1 2/5
B. 5/12
C. 3 cups
D. 4/5 cups
E. 7 cups
Answer: C. 3 cups
Step-by-step explanation:
Given: In recipe for 5 people, Required Gulf shrimp = [tex]1\dfrac14[/tex] cups
Since, [tex]1\dfrac14=\dfrac{5}{4}[/tex]
Required Gulf shrimp = [tex]\dfrac54[/tex] cups
Then, for 1 people Gulf shrimp required = [tex]\dfrac{5}{4}\div 5[/tex]
[tex]=\dfrac54\times\dfrac{1}{5}[/tex]
[tex]=\dfrac14[/tex] cup
For 12 people, it is required = [tex]12\times\dfrac14 = 3\text{ cups}[/tex]
Hence, 3 cups of gulf shrimp is required for new recipe.
So, correct option is C. 3 cups
Researchers recorded the speed of ants on trails in their natural environments. The ants studied, Leptogenys processionalis, all have the same body size in their adult phase, which made it easy to measure speeds in units of body lengths per second (bl/s). The researchers found that, when traffic is light and not congested, ant speeds vary roughly Normally, with mean 6.20 bl/s6.20 bl/s and standard deviation 1.58 bl/s.1.58 bl/s. (a) What is the probability that an ant's speed in
This question is Incomplete
Complete Question
Researchers recorded the speed of ants on trails in their natural environments. The ants studied, Leptogenys processionalis, all have the same body size in their adult phase, which made it easy to measure speeds in units of body lengths per second (bl/s). The researchers found that, when traffic is light and not congested, ant speeds vary roughly Normally, with mean 6.20 bl/s and standard deviation 1.58 bl/s. (a) What is the probability that an ant's speed in light traffic is faster than 5 bl/s? You may find Table B useful. (Enter your answer rounded to four decimal places.)
Answer:
0.7762
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
Population mean = 6.20 bl/s
Standard deviation = 1.58 bl/s.
x = 5 bl/s
z = 5 - 6.20/1.58
z = -0.75949
The probability that an ant's speed in light traffic is faster than 5 bl/s is P( x > 5)
Probability value from Z-Table:
P(x<5) = 0.22378
P(x>5) = 1 - P(x<5)
= 1 - 22378
= 0.77622
Approximately to 4 decimal places = 0.7762
The probability that an ant's speed in light traffic is faster than 5 bl/s is 0.7762
Solve each problem. Show all your steps
-2 1/2 dived by 1 7/8
Answer:
1.4
Step-by-step explanation:
Maureen reads at an average rate of 18 pages per hour. If she reads for 3.5 hours how many pages will she read?
the answer is 63
Step-by-step explanation
18 x 3.5=63
Answer: 63 pages
Explanation: 18 times 3 equals 54 and then for half an hour that's 9 minutes added to 54 which is 63 pages.
Which of the following does NOT represent a whole number?
9, 6.0, 12/4, -12/3 help plz
Answer:
-12/3
Step-by-step explanation:
Whole numbers can't be negative!
Answer:
d. your welcome
Step-by-step explanation:
what is the measure of CED
Step-by-step explanation:
The measure of CED is p degree.
In triangle ABC and EDC,(Given)(Vertical opposite angles)
By AA rule of similarity,
Corresponding angles of similar triangles are same.
Therefore the measure of CED is p degree.
pls give brainest
How do I Evaluate f(5).
A projectile is launched straight up from the ground with an initial velocity of 120 ft/s. If acceleration due to gravity is –16 ft/s2, after about how many seconds will the object reach a height of 200 ft?
Answer:
The projectile will reach a height of 200 ft after 1.910 seconds and 13.090 seconds of being launched.
Step-by-step explanation:
This projectile is experimenting a free fall, that is, an uniform accelerated motion of the projectile due to gravity and in which effects of air friction and Earth's rotation are neglected. Given that initial and final heights, initial velocity and gravitational acceleration are known, we need to calculate time by solving the appropriate equation of motion described below:
[tex]y = y_{o} +v_{o}\cdot t +\frac{1}{2}\cdot g \cdot t^{2}[/tex] (Eq. 1)
Where:
[tex]y_{o}[/tex] - Initial height of projectile, measured in feet.
[tex]y[/tex] - Final height of projectile, measured in feet.
[tex]v_{o}[/tex] - Initial velocity of projectile, measured in feet per second.
[tex]g[/tex] - Gravitational acceleration, measured in feet per square second.
As we must remember, quadratic functions have two roots and if we get that [tex]y_{o} = 0\,ft[/tex], [tex]y = 200\,ft[/tex], [tex]v_{o} = 120\,\frac{ft}{s}[/tex] and [tex]g = -16\,\frac{ft}{s^{2}}[/tex], then, the quadratic function is:
[tex]-8\cdot t^{2}+120\cdot t -200 = 0[/tex]
Roots are found by the Quadratic Formula:
[tex]t_{1,2} = \frac{-120\pm \sqrt{120^{2}-4\cdot (-8)\cdot (-200)}}{2\cdot (-8)}[/tex]
Whose solutions are:
[tex]t_{1} \approx 13.090\,s[/tex] and [tex]t_{2} \approx 1.910\,s[/tex].
Both roots are physically reasonable, first root represents the instant when the projectile reaches 200 feet when it is moving downwards, whereas second root represents the projectile moving upwards. Therefore, the projectile will reach a height of 200 ft after 1.910 seconds and 13.090 seconds of being launched.
Answer:
It will take 2.5 s to reach a height of 200ft.
Step-by-step explanation:
Bob wants to rent a car for one day. He contacted two companies. Enterprise Rentals charges $100 plus $3 per mile. Hertz Rental charge $8 per mile. After how many will the total cost for both companies be the same ?
Answer:
20 miles.
Step-by-step explanation:
To solve this problem, we will have to set two expressions representative of Enterprise Rentals & Hertz Rental equal to each other.
Let [tex]m[/tex] equal the number of miles.
If Enterprise Rentals charges $100 plus $3 per mile, we can represent this as:
[tex]100+3m[/tex]
If Hertz Rental charges $8 per mile, we can represent this as:
[tex]8m[/tex]
Set the expressions equal to each other:
[tex]8m=100+3m[/tex]
Subtract [tex]3m[/tex] from both sides of the equation:
[tex]5m=100[/tex]
Divide both sides of the equation by the coefficient of [tex]m[/tex], which is [tex]5[/tex]:
[tex]m=20[/tex]
Therefore, after 20 miles, the total cost for both companies will be the same.
_
Check your work by substituting the solved value of [tex]m[/tex] (20), into the initial equation:
[tex]8(20)=100+3(20)[/tex]
[tex]160=100+60[/tex]
[tex]160=160[/tex]
As the total costs are equal to each other, our answer is correct!
Answer:
20 miles
Step-by-step explanation:
160=$3(20)=100
8x20=160
What is the measure of the missing angle?
36°
57°
Answer:
7767788877787887+-77-7
James has 851 feet of rope. There are 14 teams of hikers. If James gives an equal amount of rope to each team how much rope will each team receive
Answer:
60 is your answer :)
Step-by-step explanation:
hope this helps :)
On a number line , the line segment from Q to S has endpoints Q at 15 and S at 40. Point R partitions the line segment from Q to S in a 6:3 ratio. What is the location of point R?
Answer:
31.67
Step-by-step explanation:
Given :
Segment QS
Endpoints for Q and S
Q = 15
S = 40
R partitions QS in a 6 : 3,
Sum of ratio = (6 + 3) = 9
Position of R:
(Q's proportion/total ratio) * (S - Q) + Q
6/9 * (S - Q) + Q
6/9 * (40 - 15) + 15
2/3 * 25 + 15
50/3 + 15
16.67 + 15
31.67
HURRY ON A TIMER PLEASE HELP
which shows all the like terms in the expression
Answer:
the second one -3and1 :4x and 7x
Step-by-step explanation:
Answer:
-3 and -1; 4x and 7x
Step-by-step explanation:
like terms are the numbers with the same variable
eg. 4x^2 and 6x aren't like terms, but 2x^4 and 3x^4 are
The table shows four account transactions. Find the account balance after the transactions when the account started with a balance of $55.
Answer:
90
Step-by-step explanation:
g Suppose you are rasterizing a triangle with vertices (1, 1), (5, 1), and (2, 9), and the intensity values (e.g., redness) of those vertices are 5, 9, and 14, respectively. Using the linear interpolation scheme, what is the intensity value of an interior point at (3, 5)? Show all your work.
Answer:
6.333
Step-by-step explanation:
Our triangle vertices are
(1,1)(5,1)(2,9)
We are to perform interpolation at point(3,5)
x and y values are interpolated
On vertices (5,1)(2,9)
x = 3
x1 = 5
X2 = 2
Y1 = 1
Y2 = 9
Formula for interpolation
Y = [y1+(x-x1)(y2-y1)]/x2-x
Y = 1+(3-5)(9-1)/2-5
Y = 1+[-2*8/-3]
Y = 1+16/3
From here we use use LCM to get:
19/3 = 6.333
What are the coordinates of the point (-3, 4) after a translation 5 units
right and 6 units down?
Answer:
(2,-2)
Step-by-step explanation:
PLS HELP!! What is the value of X
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nsjakensnsjskdkdkdjjsjsjshshsjzjs
Answer:
Step-by-step explanation:
c. One sixth of a number is 15. What is the number?
Please explain step by step.
Answer:
90
if 15 is 1 6th then yo need 5 more 15s to find out the whole number
what Mitochondria of a
of a cell
Answer:
membrane-bound cell organelles
The population of a country in 2015 was estimated to be 321.3 million people. This was an increase of 21% from the population in 1990. What was the population of the country in 1990?
Answer:
249.5 (Note: I am not really sure of my answer so sorry)
Step-by-step explanation:
Let 'x' be the population in 1990.
The population in 2015 is 321.9 million.
The increase in x by 29% = 321.910^6
129% of x = 321.910^6
1.29x = 321.910^6
x = 321.910^6/1.29
x = 249.510^6
x = 249.5 million.
249.5 is the answer
i used siri
Solve the equation. Then check your solution.
1. 1/4 = a +3/8
Evelyn bought 8.4 gallons of gas for $23.94. what equation can be used to determine the price of each gallon of gas?
Answer:the equation would be
8.4x=23.94
Step-by-step explanation: I know my math :)
Mr. Thompson sold 4 vacuum cleaners in the first month. In the second month, he sold 3 times as many vacuum cleaners as the first month. In the third
month, he sold 5 times as many vacuum cleaners as the first month.
a. How many vacuum cleaners did Mr. Thompson sell in the three months?
bers
Mr. Thompson sold ____
vacuum cleaners in the three months.
b. He sold the vacuum cleaners for $435 each. How much money did Mr. Thompson earn? (Be sure to put a comma in your answer.)
bers
Mr. Thompson earned $ ________