Answer:
aₙ = 7n - 10Step-by-step explanation:
The nth term: [tex]a_n=a_1+d(n-1)[/tex]
So:
a₄ = a₁ + 3d
18 = a₁ + 3d ⇒ 3d = 18 - a₁
a₇ = a₁ + 6d
39 = a₁ + 6d
39 = a₁ + 2(18 - a₁)
39 = a₁ + 36 - 2a₁
39 = 36 - a₁
a₁ = -3
3d = 18 - (-3)
3d = 21
d = 7
So the nth term:
[tex]a_n = -3 + 7(n-1)\\\\a_n=-3 +7n - 7\\\\a_n = 7n - 10[/tex]
Justin is 12 years older than Agnes in six years timing Johnson will be twice as old as Agnes how old are they now
9514 1404 393
Answer:
Agnes: 6Johnson: 18Step-by-step explanation:
6 years from now, Johnson will be 12 years older than Agnes and twice her age. That means Agnes will be 12 and Johnson will be 24.
Agnes is 6 now, and Johnson is 18 now.
what is-12x + 16 – 4x = -112
Answer:
[tex]x=8[/tex]
Step-by-step explanation:
First, I wanna point out a minor mistake, are we supposed to figure out x?
If we are, let's start.
[tex]-12x+16-4x=-112.[/tex]
We don't need the [tex]16.[/tex]
We subtract the 16 from both sides.
SImplify, =[tex]16x=128[/tex]
Also, group like terms, and add similar elements.
Answer:
x = 8
Step-by-step explanation:
-12x + 16 - 4x = -112
Combine like terms on the left side.
-16x + 16 = -112
Subtract 16 from both sides.
-16x = -128
Divide both sides by 16.
x = 8
Check:
-12x + 16 - 4x =
= -12(8) + 16 - 4(8)
= -96 + 16 - 32
= -80 - 32
= -112
-112 = -112
x = 8 is correct.
Answer: x = 8
the first second and third bases on a baseball field are square cavas bags that each have an area of 225 square inches. what is the length of each base
Answer:
length = 15 in
Step-by-step explanation:
length = √225 = 15 in
The maximum height reached by the barnacle is _______ m.
Answer:
1 answer is 1
2 answer is -1
3rd answer is 2pi
From the diagram, we can tell that the maximum height that is reached by the barnacle is 1m.
Why is this the maximum height?The Barnacle is going around the water level in the shape of a circle which the water level being the diameter.
This means that the maximum height the barnacle can reach is constricted by the radius such that it is the same as the radius of the circle. This means that the maximum height is 1m.
Find out more on the height of the barnacle at https://brainly.com/question/10417429.
what are prime factors of 90
Answer:
2×3×3×5
Step-by-step explanation:
2×
[tex]{3}^{2} [/tex]
×5
Uma professora de artes pediu aos alunos para montarem mosaicos unindo peças. Nesse mosaico, essas peças deveriam ficar sempre ligadas pelos vértices, não poderiam se sobrepor e não deveria sobrar espaço entre elas. Além disso, para fazer esse mosaico, essa professora solicitou que todos os alunos utilizassem octógonos regulares, como o que está apresentado abaixo.
M100839H6_1
Para compor esse mosaico, junto com esses octógonos, os alunos tinham à sua disposição as peças do quadro abaixo.
M100839H6_2
Quais dessas peças os alunos poderiam escolher para compor esse mosaico?
I e III.
I, III e IV.
I e IV.
II, III e IV.
III e IV.
Answer:
coloquei a letra d- II, III e IV
Step-by-step explanation:
Answer:
é a letra D (II, III e IV)
Step-by-step explanation:
se você reparar no ângulo interno da figura do octógono está mostrando 135º e a primeira figura que no caso não encaixa mostra 60º, fazendo essa soma daria um total de 195º, o que passa de 180º que é a metade de uma circunferência, então não daria certo, ficaria uma parte sobrando, não se encaixando no mosaico.
(IN SPANISH)
NEED AN AWNSER ASAP THANK YOU.
beth ran 1 1/2 and 2 1/8 and 1/32 during the week how many miles did beth run
Which type of sides are they and explain why they’re the correct answer!
Answer:
SAS.
Step-by-step explanation:
They are congruent by 2 sides and the included angle
A florist measures the lengths of roses the lengths in inches of a dozen roses are given below
Answer:13.5
Step-by-step explanation:
An image has point W'(7,-3), and the pre-image has point W(21,-9). This is an enlargement
True or False
Answer:
true
Step-by-step explanation:
Answer:
FALSE!
Step-by-step explanation:
brainliest would be appreciated (wink wink)
$60 invested at 7% compounded continuously after a period of 2 years, after 2 years the investment results in?
Answer: 8.40 dollars worth of intrest
Step-by-step explanation:
A box contains 4 pair of sunglasses. How many outcomes are in the sample space for pulling out a single pair, not returning it, then drawing out a second set of glasses.
a. 8
b. 12
c. 6
d. 9
Answer:
B.12
Step-by-step explanation:
For your first draw you have 4 possible options, then on your second draw you have 3 possible options since you took out a pair. So to figure out the number of possible outcomes you simply multiply the possibilities by each other to get the number of possible outcomes.
What is the 22nd term of the arithmetic sequence 12 , 17 , 22 , 27 , .... , .... , ....
Answer: 117
Step-by-step explanation:
Formula for arithmetic sequence is:
= a + (n - 1)d
22nd term = a + (n - 1)d
= a + (22 - 1)d = a + 21d
where, a = 12
d = 17 - 12 = 5.
Therefore, 22nd term will be:
= a + 21d
= 12 + 21(5)
= 12 + 105
= 117
The 22nd term is 117
5. A bag contains 5 blue marbles, 4 yellow marbles and 1 red marble. What 1 point
is the probability of selecting a yellow marble, replacing it, then selecting a
blue marble?
Answer:
()
Step-by-step explanation:
Use nCr to figure this out, plug in the numbers and probabilities and solve
A bag contains 4 white balls, 6 yellow balls, and 5 red balls. In how many ways can 6 balls be chosen if there must be 2 balls of each color? Which of the following combination notation will best represent the problem? Help!
Answer:
4C2 * 6C2 * 5C2
Step-by-step explanation:
White balls = 4
Yellow balls = 6
Red balls = 5
In other to select a total of 6 balls, of which there must be 2 balls each of color white, yellow and red :
That means :
2 red balls from 5 red balls = 5C2
2 balls for 6 yellow balls = 6C2
2 balls from 4 white balls = 4C2
To obtain the number of possible combinations, take the product of the three combinations :
4C2 * 6C2 * 5C2
If bag contains 4 white balls, 6 yellow balls, and 5 red balls then 6 balls can be chosen if there must be 2 balls of each color in 900 ways
What are permutation and combination?permutation is way of selecting and arranging things while combination is way of selecting things .
Given that bag contains 4 white balls, 6 yellow balls, and 5 red balls
we have to select 6 balls
it's given that there must be 2 balls of each color
So here's how we can select them
2 white balls ,2 yellow balls and 2 red balls
So we have to select 2 white balls out of 4 white balls ,2 yellow balls out of 6 yellow balls and 2 red balls out of 5 red balls
so number of ways of selecting
[tex]{4 \choose 2} \times {6 \choose 2}\times {5 \choose 2}[/tex]
[tex]=6\times15\times10\\\\=900[/tex]
If bag contains 4 white balls, 6 yellow balls, and 5 red balls then 6 balls can be chosen if there must be 2 balls of each color in 900 ways
To learn more about combination visit : https://brainly.com/question/25821700
What is the intersection (x, y) of the two lines generated by the 2 equations:
y= x+3
y=-x +7
Answer:
x=2
y=5
Step-by-step explanation:
y= x+3...(1)
y= -x+7...(2)
(1) + (2):
y+y= (x+3) + (-x+7)
2y= (x-x) + (3+7)
2y= 10
y= 5
By substituting y=5 into (1),
we have
5= x+3
x+3=5
x= 5-3
x= 2
Charlie deposits $1,000 on the first day of each year into his investment account. The
account grows at a rate of 8 percent per year. To the nearest dollar, how much money will
be in the account on the first day of the 11th year?
$16,645
$14,487
$1.087
$18.977
Answer:
The answer is $16,645
Step-by-step explanation:
Mark runs to catch a ball. Explain how the structure of muscle tissue helps him perform this function
Answer:
Muscles give structure and power for any kind of movement, so the tissue needs to be flexible and tightly packed for movement. The tight bands of tissue shown in the picture allows this movement to occur.
Step-by-step explanation:
By running your muscles can get stronger in power so it gives you a better chance to catch the ball with your speed and strength.
Answer:
Muscles give structure and power for any kind of movement, so the tissue needs to be flexible and tightly packed for movement. The tight bands of tissue shown in the picture allows this movement to occur.
Step-by-step explanation:
Edmentum Answer
welp me. i need welp pleasee
(WILL GIVE BRAINLIEST TO EVERY QUESTION ANSWERED ON MY PROFIL) Debra Goforth’s savings account shows a balance of $904.31 on March 1st. The same day, she made a deposit of $375 to the account. She also made deposits of $500 on April 1st and May 1st. The bank pays an annual interest rate of 5.5 percent. Use your Compounded Daily chart to calculate the amount in her account on May 29th.
Answer:
$4625.10
Step-by-step explanation:
Her account already had $904.31
You now need to add $375.
Then add $500 twice.
Because of how banks work, we need to find out how much they pay monthly. There are 12 months in a year. 5.5 divided by 12 is 0.45.
45% of 1279.31 is 575.68
Now we add the $575.68 to $1279.31
April is a new month and she deposited $500.
45% of 1854.99 is 834.74
Add $834.74 to $1854.99
Then she deposits 500 on May, another new month.
I think this step is obvious. Just follow what you did last time.
This leaves her with $4625.10
Point A(12, 0) is on the x-axis and point B(0,−5) is on the y-axis. Find the distance between points A and B
1. Find the slope from the ordered pairs. (1,-19), (2,-7) *
12
-12
13
-13
Answer:
12
Step-by-step explanation:
Use the formula y1-y2/x1-x2 to find the slope from two points.
12
Plug in values into the formula using the given points
-7- -19/2-1
=--7+19/1
=12/1
=12
Answer:
The answer is 12
Step-by-step explanation:
The equation to find slope is [tex]m=\frac{y2-y1}{x2-x1}[/tex]. M is the slope.Then you need to add in the numbers. Your equations should look like this: [tex]m=\frac{-7+14}{2-1}[/tex] 14 is now positive because it was originally negative.Then you just solve it to get your answer 12.Help quickly!!
A class of 50 students elected a class president.
Candidate A received 15 votes.
Candidate B received 25 votes.
The remaining students did not vote.
Which expression gives the percent of voters who voted for Candidate B?
Answer:
answer: 25/(15+25) ×100
what is the zero of (-8,-1) and (4,2)
Answer:
It’s 4.2
Step-by-step explanation:
john is a proud owner of a herd of cows 12 of them are brown and 32 are black what is the ratio of brown cows to the total number of cows?
Answer:
12:44, or if simplified 3:11
Step-by-step explanation:
In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3). Similarly, the ratio of lemons to oranges is 6∶8 (or 3∶4) and the ratio of oranges to the total amount of fruit is 8∶14 (or 4∶7).
Answer:
3 : 11
Step-by-step explanation:
Total number of cows = 32 + 12 = 44
Brown cows : Total
12 : 44 =
3 : 11
Please I need help with this math problem I would appreciate it a lot!
Answer:
4x^2 -3 + 1/x
Where ;
p(x) =( 4x^2 -3) and k = 1
Step-by-step explanation:
Here, we want to divide the given polynomial
To get this, we can use the method of long division
P(x) will be the quotient of the division, while k will be the remainder of the division
We can see the long division used in as seen in the attachment
So, we have the result as;
4x^2 -3 + 1/x
Where ;
p(x) = 4x^2 -3 and k = 1
Josh spent $30 at the movies. 1/5 was spent on a drink, 45% on a ticket and the rest on food. How much did he spend on food?
Answer:
$10.5
Step-by-step explanation:
Given data
Total amount=$30
Drink = 1/5*30= $6
Ticket= 45% of 30
=45/100*30
=0.45*30
=$13.5
The remainder is for food
=30-6-13.5
=$10.5
Anyone know??please????? And right answers
Answer:
ACB
Step-by-step explanation:
The measures of the angles of △ABC are given by the expressions in the table.
Angle Measure
A (4x−13)°
B 15°
C (x+18)∘
What is the measure of ∠A and ∠C?
Answer:
A=82
C=83
X+y=60
X=30+50+80
X=80