Answer:
no
Step-by-step explanation:
Establish the nth term formula
There is a common difference d between consecutive terms, that is
d = - 5 - (- 9) = - 1 - (- 5) = 3 - (- 1) = 7 - 3 = 4
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 9 and d = 4 , then
[tex]a_{n}[/tex] = - 9 + 4(n - 1) = - 9 + 4n - 4 = 4n - 13
Equate 4n - 13 to 301
4n - 13 = 301 ( add 13 to both sides )
4n = 314 ( divide both sides by 4 )
n = 78.5
Since n is not an integer then 301 is not in the sequence
301 doesn't belong to the sequence -9, -5,-1,3,7,...
What is A.P sequence?An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
The arithmetic sequence is given by a, a + d, a + 2d, a + 3d, … .
Hence, the formula to find the nth term is:
[tex]a_{n}[/tex] = a + (n – 1) × d.
where,
a = first term
d = common difference
n = number of terms
[tex]a_{n}[/tex] = nth term
According to the question
Sequence : -9, -5,-1,3,7,...
First term (a)= -9
common difference (d)= -5 - (-9)
= 4
[tex]a_{n}[/tex] = 301
using the formula of nth term
[tex]a_{n}[/tex] = a + (n-1)d
Substituting the value
301 = -9 + (n-1) 4
310 = (n-1) 4
77.5 = (n-1)
n = 78.5
as n always to be the whole number .
Hence, 301 doesn't belong to the sequence -9, -5,-1,3,7,...
To know more about A.P sequence here:
https://brainly.com/question/24205483
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Select ALL of the real-life situations could be represented by finding surface area.
How much paint is needed to cover a box.
How much water is needed to fill a fish tank.
How many pairs of socks fits in a suitcase.
How much rice fits in a jar
How much cardboard is needed to make a box.
Answer:
How many pairs of socks fits in a suitcase.
How much rice fits in a jar
How much cardboard is needed to make a box.
Step-by-step explanation:
Given that y varies inversely with x, if y=-5 when x=-6, find x when y=-2.5.
15
Explanation:
If y varies inversely as x, the two variables can be represented in an equation in the form
y
=
k
x
where
k
is some constant.
We are given that
y
=
5
when
x
=
6
. We can plug this into the above equation to find what
k
is:
5
=
k
6
30
=
k
Based on this we can create our equation:
y
=
30
x
And then find
x
when
y
=
2
:
2
=
30
x
2
x
=
30
x
=
15
please factor -28c-12c²-16
Answer:
-4(3c + 4)(c + 1)
Step-by-step explanation:
Reorder the expression
-12c² - 28c - 16
Divide it by -4
3c² + 7c + 4
Factor it by multiplying a (3) and c (4), then finding 2 factors that add up to b (7)
Two factors of 12 that add up to 7 are 4 and 3.
Use 4c and 3c to substitute for 7c in the expression, and simplify
3c² + 7c + 4
3c² + 3c + 4c + 4
3c(c + 1) + 4(c + 1)
(3c + 4)(c + 1)
Since we factored out a -4 in the beginning, add this in front
-4(3c + 4)(c + 1)
What would you have liked to learn in Art, that you haven't learned?
Please answer my question, I'm doing a Graffiti Project in Art!! ASAP!
Hmm I would like to to learn to draw comics or basically be a comic artist, and wow I’ve never tried graffiti :)
f(x) = 2x2 + 12x + 1
Determine the vertex
Answer:
Step-by-step explanation:
The vertex would be the highest/lowest point so lets factor this first
when we factor we get
2(x^2+6x+8)
2(x+4) (x+2)
Using zero product property we find the 2 x values and x intercepts are
-4 and -2
the middle point of these points is -3
Substitute -3 for x and solve
2(-3+4) (-3+2)
2 * 1 * -1
2*-1
-2
(-3,-2) is the vertex
A triangle has an area of 24 square centimeters. What is the measures of the base and height of the triangle in centimeters?
Answer:
base = 8cm
height = 6cm
Step-by-step explanation:
formula for area of triangle: A = 1/2×b×h
8×6 = 48
48×1/2 = 24
Answer = 24 square centimeters
Please note that I'm assuming the base is the longest side since there is no number given for the base or the height.
Which measure of center best represents the following
data set?
7, 29, 32, 33, 34, 37, 37
O Range
O Mean
O Median
O Mode
HELP ASAP
Answer:
Median since the numbers are arranged in an ascending order.
How many hexagonal tiles can you fit into an area of 143ft2?
When do you first start to see a moderate amount
of overlap in these two graphs?
when the difference in
means is around 40
when the difference in
means is around 20
when the difference in
means is around 5
Answer:
When the difference in means is around 20
Step-by-step explanation:
U welcome
Please somebody help with this question :(((((
Answer: I would find it by counting the squares so that you can get 2 numbers and then do the formula for the area of a parallelogram. For the sides to find the number, you might want to draw a square around the parallelogram so that you get a triangle and then use the Pythagorean theorem to find the side of the parallelogram.
Step-by-step explanation:
anyone know the answer? I’ll give you brain list if you get it right.
Answer:
C.
Step-by-step explanation:
There are 205 total students in a school. 20% of the students are 5th
graders. How many students are 5th graders? *
Answer:
41 students
Step-by-step explanation:
We're trying to find what 20% of 205 is so:
We start by converting 20% to a fraction :
20% = 1/5
Then we have
20% of 205 = 1/5 x 205 = 1/5 x 205/1 = 205/5
Notice that 205 was rewritten as the fraction 205/1, and that to multiply two fractions together, you simply multiply the numerators and denominators.
In order to find the simplest form of 205/5 we cancel out the greatest common divisor of 205 and 5, which is 5:
205/5 = 41/1
So there are 41 5th graders
Mrs perez drove at constant rate of speed she drove a total of 33.75 miles in 3/4 of hours what was the speed in miles per hour that mrs Perez traveled if this situation is represented by the equation d=rt
Answer:
Speed in miles per hour = 45 miles per hour
Step-by-step explanation:
Given:
Distance cover by Mrs Perez = 33.75 miles
Time taken by Mrs Perez = 3/4 hours = 0.75 hour
Find:
Speed in miles per hour
Computation:
Speed = Distance cover / Time taken
Speed in miles per hour = Distance cover by Mrs Perez / Time taken by Mrs Perez
Speed in miles per hour = 33.75 / 0.75
Speed in miles per hour = 45 miles per hour
Add.
(-g³ - 8g² + 8g - 5) + (-3g² - 3)
Answer:
[tex]- g^{3}[/tex] - [tex]11g^{2}[/tex] + [tex]8g[/tex] - [tex]8[/tex]
Step-by-step explanation:
Find the measure of the missing angles.
135°
b =
C=
Answer:
b=135
c=45
Step-by-step explanation:
Answer:
b=135,c=30
Step-by-step explanation:
b
we know contrast angles are equals
What is the area of John’s property?
Answer:
B- 960 square meters
Step-by-step explanation:
Between which two integers does √11 lie? and √8 lie? Step by step explanation please
Answer:
2 and 4
Step-by-step explanation:
Consider a perfect square smaller than 8 and a perfect square larger than 11
That is 4 and 16, then
[tex]\sqrt{4}[/tex] < [tex]\sqrt{8}[/tex] and [tex]\sqrt{11}[/tex] < [tex]\sqrt{16}[/tex] , that is
2 and 4
Answer: 3 and 4
Step-by-step explanation:
HELPP WORTH 30 Pts for all plz plz plz help
Answer:
1. 2ft
2. 8yd
3. 144in
4. 0.5ft
5. 18ft
6. 2640ft
7. 5280yd
8. 4.5ft
9. 4yd
10. 90in
11. 36in=3ft
p=4+5+3=12
12. 3ft=36in
2ft=24in
p=24+24+12+12+36=108
In 2019, there were about 21 million teenagers (aged 13-17) in the United States. They each sent an average of 3,300 text message per month. About how many text messages did all of the teenagers in the United States send each month? Express your answer using scientific notation.
Answer:
All of the teenagers in the United States sent about 69,300,000,000 text messages each month.
Step-by-step explanation:
Given that in 2019, there were about 21 million teenagers in the United States, and they each sent an average of 3,300 text messages per month, to determine about how many text messages did all of the teenagers in the United States send each month the following calculation should be done:
21,000,000 x 3,300 = X
69,300,000,000 = X
Therefore, all of the teenagers in the United States sent about 69,300,000,000 text messages each month.
Jessie bought 11 red roses and 7 white roses. The ratio of the number of red roses to the number of white roses is...
ANSWER QUICKLY PLEASE!!
Answer:
11/8 and if you need percentage its about 61%
Step-by-step explanation:
At the beginning of a snowstorm, Nathaniel had 5 inches of snow on his lawn.
The snow then began to fall at a constant rate of 1.5 inches per hour.
Assuming no snow was melting, how much snow would Nathaniel have on his
lawn 5 hours after the snow began to fall? How much snow would Nathaniel
have on his lawn after t hours of snow falling?
Snow after 5 hours:
Show after t hours:
Answer:
In 5 hours he would have 7.5 inches of snow JUST from the snowstorm but the question says that he already had 5 inches in his lawn so that would make 12.5 inches of snow in 5 hours.
The second one says t, it doesn't state a number so lets assume the number is ten. So that's 5 more hours of constant snowfall, this makes our total be the sum of 12.5+7.5. This is equal to 20.
10 hours into the snowstorm Nathaniel had 20 inches of snow in his lawn.
Consider a brainliest if it helps :)
Answer:
Snow after 5 hours = 12.5
Show after t hours= 1.5t+5
Step-by-step explanation:
6. You buy a pair of shoes that cost $120. You use your 20% off coupon and pay an 9% tax. What is your
total bill?
Answer:
$104.64
Step-by-step explanation:
Because coupons come before tax, we have to take away 20%, then add 9%
Step 1 : Find 20%
In order to find the percent of anything, all you have to do is multiply the percent (as a decimal) by your price
In this case, it's : 120 × 0.20
Using this expression, we find that 20% of $120 = $24
Step 2 : take away 20%
Coupons take away money from a full price, so we will take away $24 from $120, leaving us with $96
Step 3 : Find 9%
Now we multiply 0.09 (9%) by our new price (96)
96 × 0.09 = $8.64
Step 4 : Add 9%
Lastly, we use our coupon-added price (96) and add our tax (8.64)
96 + 8.64 = $104.64
La montaña más alta del mundo es Everest cuya altura es de 8.848m y la altura de la segunda montaña más alta es de 2hm 3dam y 7m menos ¿Cuantos metros de altura tiene la segunda montaña más alta del mundo
Answer:
La segunda montaña más alta del mundo tiene 8611 metros.
Step-by-step explanation:
La montaña más alta del mundo es Everest cuya altura es de 8.848m.
La altura de la segunda montaña más alta es de 2hm 3dam y 7m menos. Para calcular la altura que tiene la segunda montaña más alta del mundo, debes realizar primero un cambio de unidades sabiendo que
1 hm= 100 m1 dam= 10 mEntonces podes aplicar las siguientes reglas de tres simple:
Si 1 hm equivale a 100 m, 2 hm equivale a ¿Cuántos metros?
[tex]metros=\frac{2 hm*100 m}{1 hm}[/tex]
metros= 200
Si 1 dam equivale a 10 m, 3 dam equivale a ¿Cuántos metros?
[tex]metros=\frac{3 dam*10 m}{1 dam}[/tex]
metros= 30
Entonces, la altura de la segunda montaña más alta es de 200 m+30 m+ 7 m menos que el Everest. Esto es, 237 metros menos que la montaña más alta del mundo. Entonces:
8848 metros - 237 metros= 8611 metros
La segunda montaña más alta del mundo tiene 8611 metros.
ano natuklasan ni basilio kay sisa
the side of a triangle measured 7cm,8cm ,12cm . which type of triangle is it
Answer:
Obtuse triangle.
Step-by-step explanation:
The rule to know what type of triangle it is, you do A^2 + B^2 and if it is less than C^2, then it is obtuse. If it is equal, then it is right, and if it is more than, it is acute.
Do this equation fo 7, 8, and 12
7^2 + 8^2 =? 12^2
49 + 64 =? 144
113 < 144
113 is less than 144 which means that it is an obtuse triangle
a click beetle abruptly releases elastic energy stored in its body to launch itself into the air. the function h(t)=-16t^2+12t represents the height h (in feet) of the click beetle t seconds after launching. the height of a second click beetle t seconds after launching is shown in the graph. which click beetle went higher?
Answer:
The first click beetle reaches a maximum height of 2.25 feet. From the graph, you can see that the second click beetle reaches a maxium height of between 1.5 and 1.6 feet. So, the first click beetle went higher.
A beetle reaches a maximum height of 2.25 meters after 2,25 seconds
How to determine the maximum height?The function is given as:
h(t)=-16t^2+12t
Differentiate
h'(t)= -32t + 12
Set to 0
-32t + 12 = 0
Add 32t to both sides
32t = 12
Divide both sides by 32
t = 0.375
Substitute t = 0.375 in h(t)
h(0.375) = -16 * 0.375^2 + 12 * 0.375
Evaluate
h(0.375) = 2.25
The above means that a beetle reaches a maximum height of 2.25 meters after 2,25 seconds
The other parts cannot be completed because the question is incomplete
Read more about quadratic functions at:
https://brainly.com/question/56877
Plzzzz 70 points For the right answer!!
In a certaint Algebra 2 class of 29 students, 7 of them play basketball and 14 of them
play baseball. There are 10 students who play neither sport. What is the probability
that a student chosen randomly from the class plays basketball or baseball?
Answer:
16 play only basketball
5 play only baseball
19/29 + 5/29 = 24/.29
Step-by-step explanation:
please please help i have three questions left for this lesson
9514 1404 393
Answer:
y = -|x -1| +2
Step-by-step explanation:
The transformation ...
-f(x -h) +k
reflects function f(x) over the x-axis, translates it 'h' units to the right and 'k' units up.
Your absolute value function is reflected over the x-axis, then translated 1 unit right (h=1) and 2 units up (k=2). Putting these values in the function, we have ...
y = -abs(x -1) +2
y = -|x -1| +2
5/1 is how much longer than 1/5
PLEASE HELP
NO LINKS
ALL LINKS WILL BE REPORTED
I APPRECIATE ALL REAL HELP
Answer:
the slope is 2 and the y intercept is 1.
Step-by-step explanation:
find 2 points and plug into this formula. (Y2-Y1)/(X2-X1)
(3-1)/(1-0)=2
y intercept is just when X equal to 0, what is y. Therefore, find X=0 on the graph. X=0, Y=1