The 62nd term of the arithmetic sequence -27, -21, -15 is 339
Arithmetic sequenceThe nth term of an arithmetic sequence is expressed as:
Tn =a+(n-1)d
Given the sequence -27, -21, -15
a is the first term = -27
d is the common difference = -21 + 27 = 6
n = 62
Substitute
T62 = -27 + (62-1)(6)
T62 = -27 + 61(6)
T62 = -27 + 366
T62 = 339
Hence the 62nd term of the arithmetic sequence -27, -21, -15 is 339
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Which of the following expressions is modeled on the number line?
Answer:
2 x 3
Step-by-step explanation:
Since it starts at and goes right twice in intervals of 3, you can conlude that the answer would be 2 x 3 because it corresponds with the previous numbers stated.
Determine the zeros or roots of each function or equation. You can use the quadratic equation if you need to.
f(x)=-8x^2+2x+1
Suppose that a recent poll found that 50 % of adults in a certain country believe that the overall state of moral values is poor. If a survey of a random sample of 15 adults in this country is conducted in which they are asked to disclose their feelings on the overall state of moral values, complete parts (a) through (e) below.
Answer: 3.75
Step-by-step explanation:
P=0.50, n=15
np= 0.5x15 gives 7.5
n(1-p)= 15x(1-0.5)=7.5
Both are greater than 5
Then Mean, u=np;15x0.5=7.5
Standard deviation, √np(1-p)
15x0.5(0.5)= 3.75
How do you solve this absolute value equation ?
|x + 7| = 3x - 5
Answer:
x=6
Step-by-step explanation:
x+7=3x-5
add 5 to both sides
x+12=3x
subtract x from both sides
12=2x
divide by 2 on both sides
6=x
what is the total area of the three triangle ?
Answer b. 13 square units
Answerr plsss. whooop whoop
4) Find the LCM of 20 and 9
Answer:
least common multiple is 180
#6: At the end of March, a computer company has a net worth of
-$18,684. By the end of December of the same year, the company's net
worth had increased by $34,712. What was the company's net worth at
the end of December? *
$16,028
$-16,028
$53,396
-$53,396
Answer:
$16,028
Step-by-step explanation:
take $34,712 and add -$ 18,684
REFLECT - How many triangles and how many rectangles are in a net for a right triangular
prism? How do you know?
Answer:
2 triangles and 3 rectangles
Step-by-step explanation:
Because all triangular prisms have 2 triangle faces and 3 rectangle faces
Which represents the solution set to the inequality 5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4)?
Answer:
The answer is x > -2.5 or (-2.5,infinity)
Step-by-step explanation:
A bag had 7 orange rocks , 6 green rock , 1 white rock ,7 black rocks , and 2 yellow you randomly pull a rock from the bag ,keep it out , and then pull out another one .
What is the probability of getting a yellow rock and then a n orange rock ?
Answer:
[tex]Probability = \frac{7}{253}[/tex]
Step-by-step explanation:
Given
[tex]Orange = 7[/tex]
[tex]Green = 6[/tex]
[tex]White = 1[/tex]
[tex]Black = 7[/tex]
[tex]Yellow = 2[/tex]
Required
Probability of selecting a yellow then orange rock
From the question, we understand that the probability is that of without replacement.
Since the yellow, is first picked.
We need to determine the probability of picking a yellow rock, first.
[tex]P(Yellow) = \frac{n(Yellow)}{Total}[/tex]
[tex]P(Yellow) = \frac{2}{7 + 6 + 1 + 7 + 2}[/tex]
[tex]P(Yellow) = \frac{2}{23}[/tex]
The rock has reduced by 1;
Next is to determine the probability of picking an orange rock
[tex]P(Orange) = \frac{n(Orange)}{Total - 1}[/tex]
[tex]P(Orange) = \frac{7}{7 + 6 + 1 + 7 + 2- 1}[/tex]
[tex]P(Orange) = \frac{7}{22}[/tex]
The required probability is calculated as thus:
[tex]Probability = P(Yellow) * P(Orange)[/tex]
[tex]Probability = \frac{2}{23} * \frac{7}{22}[/tex]
[tex]Probability = \frac{14}{506}[/tex]
[tex]Probability = \frac{7}{253}[/tex]
A quadrilateral has vertices at (2,5) (4,8) (5,3) (7,6) is this quadrilateral a rectangle
Answer:
No
Step-by-step explanation:
It is a parallelogram as the sides do not form any 90° angle when you connect the points.
WILL GIVE BRAINLIST
Samuel drove 28 miles in 32 minutes. Beverly drove 42 miles in 48 minutes.
Are the ratios of miles to minutes for Samuel and Beverly proportional?
Drag and drop to correctly complete the statement.
= Ratio of minutes to miles in which Samuel drove = 28 : 32
= Ratio of minutes to miles in which Beverly drove = 42 : 48
To find whether the time they drove and the distance they covered were proportional or not , let us first change them into a fraction and then simplify them .
= 28 : 32 = 28/32
= 28/32
Both the numerator and the denominator is divisible by 4 .
= 28 ÷ 4 / 32 ÷ 4
= 7/8 = 7 : 8
Samuel = 7 : 8
Beverly = 42 : 48 = 42/48
= 42/48
Both the numerator and the denominator is divisible by 6 .
= 42 ÷ 6 / 48 ÷ 6
= 7/8
Therefore, the ratio of miles to minutes drove by Samuel and Beverly is proportional , 7:8 :: 7:8
Answer:
7:8 7:8
Step-by-step explanation:
if you subtract 28 from 42 and subtract 32 from 48 then you get 14-16. then double it and you get 28-32 then add 14-16 to those again and you get 42-48. because they add up and are equal, take 14-16 and simplify it to 7:8.
GIVING BRAINLIEST!!!!
How many solutions exist for the given equation?
1/2(x+12)=4x-1 (1/2 is one half)
zero
one
two
infinitely many
Answer:
Two
Step-by-step explanation:
there is TWO sulotions!!!
Which correctly applies the distributive property to show an equivalent expression to (–2.1)(3.4)? (2)(3) – (0.1)(0.4) (–2)(3) + (–0.1)(0.4) (2.1)(3) – (2.1)(0.4) (–2.1)(3) + (–2.1)(0.4)
Answer:
d i hope
Step-by-step explanation:
good
Answer:
I think it is c
Step-by-step explanation:
hope this helps
(x/x+1) - (2x+1)? how do i do this people?
Answer:
x=1
Step-by-step explanation:
sum of two integers is -30 if one of them is 15 find the other integer pls urgent will mark u the brainliast
Answer:
-45
Step-by-step explanation:
Sum of two integers = -30
one of them = 15
let another number be 'x'
x + 15 = -30
x = -30 - 15
x = -45
so the other number is -45
Given: -4x + 2y = 8
Prove: y = 4 + 2x
Answer:
Step-by-step explanation:
-4x+2y=8
2y=8+4x
y=[tex]\frac{8+4x}{2}[/tex]
y=[tex]\frac{2(4+2x)}{2}[/tex]
y=4+2x
proved
Pls I really need help
Answer:
Greater
Step-by-step explanation:
Which numbers are rational?
-8 , 6 , 0 , 19/8 , 4.35 , 7/4
Answer:
-8, 6, 0, 19/8, 4.35, 7/4 all of them
Step-by-step explanation:
hope this helps! :)
Which of these ordered pairs is a solution of 3x−y=12? Choose all that apply.
Answer:
(0,-12)
Step-by-step explanation:
so you can get a app to graph it or graph it your self but that is the answer
PICTURE PROVIDED JUST TELL ME IF IT IS A FUNCTION AND WHY
Answer:
This is a function because the Y values do not repeat.
Help plsssss!!!!!!!!!!!!!
Answer:
The second option
Step-by-step explanation:
What value of x makes this equation true? 2(4x-3) - 8= 4+2x
Answer:
What value of x makes this equation true? 2(4x-3) - 8= 4+2x HERE YOU GO!!
Step-by-step explanation:
We need to eliminate one of the variables to solve the other.
4x+5y = 8
2x-3y = 18
I will multiply the second equation by -2.
-2*(2x-3y = 18)
-4x + 6y = -36 and then add the two equations
4x + 5y = 8
-4x + 6y = -36
+ adding here
11y = -24
y = -24/11
substitute x in one of the equations to find y.
2x-3y=18
2x - (3*-24/11) = 18
2x = 126/11
x = 126/22
Ms. Morgan bought 3.5 pounds of bananas at $0.54 a pound. If she paid with a $10 bill, how much change will she receive? just the bananas just curious cause im dumb as heck
Answer:
$8.11
Step-by-step explanation:
Answer:8.16$
Step-by-step explanation:
b)simplify the expression
7x2 + 4x – 2 + 8x2 – 9x – 5
Answer:
=25x-7
Step-by-step explanation:
help pleaseeeeee thanks .
is-2 a solution of the inequality -2x+5__> 9 ?
Answer:
Yes
Step-by-step explanation:
-2 plugged into x would give you 4 then 4 + 5 is 9
Bobby and his brother had 3/4 of a pizza leftover after dinner. Their father came home and are 1/2 of the leftover pizza .how much pizza did their father eat
Answer:
3/8 of the pizza
Step-by-step explanation:
3/4*reciprocal of 2
3/4*1/2
3/8
3/8
3/4÷1/2= 0.375
0.375= 3/8
Please answer this (:
Answer:
= -1 1/6
Step-by-step explanation:
Hope this helps (:
Look at the attachment
5x + 8 - 7x = -4x + 1
Choose 1 answer:
А
No solutions
Exactly one solution
Infinitely many solutions
Step-by-step explanation:
5x+8-7x=4x+1
5x+7x-4x=8+1
8x=9