Answer:
3
Step-by-step explanation:
The pattern is 2, 5, 8, 11, 14, 17.
Hopefully this helps!
In the Arithmetic sequence, the common difference between consecutive terms is 3 .
The general term of an arithmetic sequence is,
[tex]a_{n}=a_{1}+(n-1)d[/tex]
where d is common difference.
Given that, first term [tex]a_{1}=2,a_{3}=8[/tex]
So, [tex]a_{3}=a_{1}+2d\\\\8=2+2d\\\\2d=8-2=6\\\\d=6/2=3[/tex]
Therefore, common difference is 3.
Learn more about arithmetic sequence here:
https://brainly.com/question/13711310
You can buy 5 cans of green beans at the village market for $2.30, or you can buy 10 of them at Best Food for $5.10. Which place is the better buy?
Answer:
The village market
Step-by-step explanation:
Price per can at the village market
= 2.30÷5
= $0.46
Price per can at Best Food
=5.10÷10
= $0.51
Answer:
Village market
Step-by-step explanation:
Find the unit rate at village market and Best food and compare.
Village market:
Rate per can = 2.30 ÷ 5
= $ 0.46
Best food:
Rate per can = 5.10 ÷ 10
= 0.51
0.46 < 0.51
Buying can from village market is best buy as that is less priced
A home has a triangular backyard. The second angle of the triangle is 4 degrees more than the first angle. The third angle is 26 degrees more than three times the first angle. Find the angles of the triangular yard.
Answer:
66.4, 70.4, 223.2
Step-by-step explanation:
make the equation x + (x+4)+ 3x+24=360
then it's 5x+28=360
subtract 28 on both sides
5x=332
then divide by 5 on both sides
x=66.4
then, just plug in the numbers
The number of bacteria at the beginning of an experiment was 30 and the bacteria grow at an hourly rate of 1.4 percent. Using the model given by () = 0e, estimate the number of bacteria, rounded to the nearest whole number after 20 hours.
Answer:
The estimated number of bacteria after 20 hours is 40.
Step-by-step explanation:
This is a case where a geometrical progression is reported, which is a particular case of exponential growth and is defined by the following formula:
[tex]n(t) = n_{o}\cdot \left(1+\frac{r}{100} \right)^{t}[/tex] (1)
Where:
[tex]n_{o}[/tex] - Initial number of bacteria, dimensionless.
[tex]r[/tex] - Increase growth of the experiment, expressed in percentage.
[tex]t[/tex] - Time, measured in hours.
[tex]n(t)[/tex] - Current number of bacteria, dimensionless.
If we know that [tex]n_{o} = 30[/tex], [tex]r = 1.4[/tex] and [tex]t = 20\,h[/tex], then the number of bacteria after 20 hours is:
[tex]n(t) = 30\cdot \left(1+\frac{1.4}{100} \right)^{20}[/tex]
[tex]n(t) \approx 39.616[/tex]
[tex]n(t) = 40[/tex]
The estimated number of bacteria after 20 hours is 40.
Someone help me please
Answer:
It's the third answer.
Step-by-step explanation:
Maths
Which equation represents the following word problem? Grace is making a cake. The recipe calls for 21/2 cups of flour. If she has already added 3/4 of a cup into the bowl, how much more flour will she need to add? Let x be the number of cups she needs to add.
A) x+3/4 = 22/2
B) x-3/4=27/2
C) 3/4x = 21/2
D) X/13/4)
Answer: c
Step-by-step explanation:
3/4x = 21/2
If a bike is going at 26 centimeters per second how many meters per minute is she traveling?
Answer:
15.6 meters in a minute
Step-by-step explanation:
Here's why:
1 centimeter= 0.01 meter
So, if you have 26 cm, that equals 0.26 meters.
Now, we know that there are 60 seconds in a minute.
So, we have to do 0.26 times 60 which equals 15.6 meters.
I hope this helps you! :)
38,503 rounded to the nearest ten thousand
Answer:
39,000
Step-by-step explanation:
Answer:
40,000
Step-by-step explanation:
your bank account is -$58.44. you deposit $46.85. what is your new balance?
Answer:
-$11.59
Step-by-step explanation:
Bank account balance = -$58.44
Deposit $46.85.
New balance = Deposit + Bank account balance
New balance = $46.85 + -$58.44
New balance = $46.85 - $58.44
New balance = -$11.59
PLEASE HELP ASAP!?!?!?!?!!!?!?!?!?!?!?!
The diameter of a pizza is 13 1/4 inches what is the length in inches of the diameters of 6 pizzas?
Answer:
79.5
Step-by-step explanation:
-6n + 3= 45
how do you solve this
Answer:
n= -7
Step-by-step explanation:
subtract 3 from both sides,-6n=42,divide both sides by -6
Answer:
[tex]\boxed{n = - 7}[/tex]
Step-by-step explanation:
[tex] \boxed{you \: solve \: by \: making \to n :} \\ the \: subjet \: of \: the \: equation \to \: \\ it \: means \: making \: \to \: n : to \: stand \: on \: its \: own \to \\ - 6n + 3 = 45 \\ - 6n = 45 - 3 \\ - 6 n= 42 \\ \frac{ - 6}{ - 6} n = - \frac{42}{6} \\ \boxed{n = - 7}[/tex]
I NEED HELP! I WILL MARK YOU AS BRAINLIEST IF YOU ANSWER CORRECTLY! :D
Answer:
1. Train B is faster
Step-by-step explanation:
Train b travels a greater distance in 2 hours than train A.
Train B travels 250 miles in 2 hours, while Train A travels only 120 miles.
find the distance from point A to segment BC
(i also need the wrk to go with it i don’t understand)
Answer:
it would probably be t series
f(x) = 2 sin x- tanx is not a sinusoid.
Answer: true
Step-by-step explanation:
right on edg
How do i solve this?
"Solve the equation for x in terms of c."
[tex] \frac{2}{3} (cx + \frac{1}{2} ) - \frac{1}{4} = \frac{5}{2} [/tex]
A.
[tex]x = \frac{29}{18c} [/tex]
B.
[tex]x = \frac{27}{8c} [/tex]
C.
[tex]x = \frac{29}{8c} [/tex]
D.
[tex]x = \frac{9}{4c} [/tex]
Answer:
Ancwer is C
Step-by-step explanation:
A man has 14 of a kilogram of couscous.He shares at equally amongst 2 people. How many kilograms does each person get? Input your answer as a fraction of a kilogram.
Answer:
:⊃
Step-by-step explanation:
Write an equation and solve. You are saving money to buy a new iPad that costs $353. You have saved $225. How much more money do you need to save?
Answer: You have to save $128 more dollars.
Step-by-step explanation: The iPad costs $353 and you already have $225, so to find the answer you have you subtract what you already have from how much it costs. So 353 - 225 = 128. You need to save up $128 more dollars to get the iPad. (I think this is correct, I tried)
A cube has a volume of 125 square inches. What is the length of each edge?
Answer:
5 inches
Step-by-step explanation:
formula for cube volume is l^3
so 5^3 is equal to
5 x 5 x 5
which is
25 x 5
equals
125
Hope this helps!
Answer:
5 inches
Step-by-step explanation:
V=a^3
5^3 is 125 so the answer is 5
integral rational trigonometric
Substitute x = 3 - 2 cos(θ) and dx = 2 sin(θ) dθ (where "sin" = "sen"). So we have
∫ sin(θ) / (3 - 2 cos(θ)) dθ = 1/2 ∫ 1/x dx
= 1/2 ln|x| + C
= 1/2 ln(3 - 2 cos(θ)) + C
(We can remove the absolute value because -1 ≤ cos(θ) ≤ 1, so 1 ≤ 3 - 2 cos(θ) ≤ 5, and |x| = x when x ≥ 0.)
Juan is painting the floor of an outdoor racquetball court. He knows that 1 gallon of paint will cover the shaded area shown below. If it takes Juan 3h hours to apply 1 gallon of paint, approximately how many hours will it take him to paint the entire court? Show your work or explain in words. I NEED HELP NOW
Answer:
it would probably be 7 hours
Which is the graph of f(x) = 2 Square root negative X
Answer:
the graph is (0,2)
Step-by-step explanation:
help meeeeee plsssss
help please and thank you 0
Answer:
765
44
81
1504
26
216
product
colourful stickers
27 x 3
684 and 820
Step-by-step explanation:
Compare 468,119 and 486,191
Answer:
468,119 < 486,191
Step-by-step explanation:
compare the left numbers. Four is equal to four, so go right. 6 is less than 8, so 468,119 < 486,191
Simplify expression giving brainliest to first correct answer
Answer: a
Step-by-step explanation:
Answer:
-360
Step-by-step explanation:
Use PEMDAS
a small apple weighs 6.2 ounces and it’s divided into 4 equal parts how much does each piece weigh?
Write the slope-intercept form of the equation for a line with slope 1/3 and y l-intercept at (0,-2/5
Answer:
y=1/3x-2/5
Step-by-step explanation:
please help me. i really need it
Answer:
4c+6≤−10
4c+6−6≤−10−6 ... subtract 6
4c≤−16...divide both sides by 4
final: c≤−4
5c-3>2
5c-3>2...add 3
5c>5...divide by 5
c>1
In a bag of 20 balls, 2 are pink, 7 are green, 4 are white, 5 are black, and 2 are orange. If the first ball chosen is
pink and not replaced, what is the probability that the next ball is black?
Answer:
independent
Step-by-step explanation:
Answer:
you have a 1 in 4 chance or 25% chance
Step-by-step explanation:
there is 20 balls and 5 are black, right? And if you do 5/20 it eachs 1/4 or 0.25.
16 = 4/3 (5x+15) solve for x in the simplest form
Answer:-0.6
Step-by-step explanation:
thank me later lol
There are 22 students, from which 6 people will be selected to be on a panel. If Allen and Joe are 2 of the 22 students, then what is the probability that neither will be selected to be on the panel?
Round your answer to three decimal places.
==========================================
Explanation:
Let's start off counting the number of ways to form the panel that doesn't have Allen or Joe on it. In other words, both are not on the panel.
There are 22 students, but we want to exclude 2 of them (Allen and Joe) from the panel. So in reality, we only have 20 students to pick from. There are 6 slots to fill.
The first slot has 20 choices
The second slot has 19 choices
The third has 18 choices
And so on. We count our way down until all six slots are filled. We'll have this sequence of six values: 20, 19, 18, 17, 16, 15
They multiply out to 20*19*18*17*16*15 = 27,907,200
This is the number of permutations where we choose 6 from a pool of 20.
With permutations, order matters; however, order doesn't matter on this panel. All we care about is the group overall.
So we must divide by 6! = 6*5*4*3*2*1 = 720 and we get
(27,907,200)/(720) = 38,760
There are 38,760 different combinations, so there are 38,760 different panels where neither Allen nor Joe are selected.
We'll use this later later, so let A = 38,760
------------------------------------------------------
Now onto the next part. We need to count the total number of possible panels, and this time we're including Allen and Joe.
We have our original total of 22 students. There are still 6 seats to fill.
We could follow the same steps as the prior section, but I'll use a different route.
Let n = 22 and r = 6. Plug these values into the nCr combination formula below
[tex]_n C_r = \frac{n!}{r!*(n-r)!}\\\\_{22} C_6 = \frac{22!}{6!*(22-6)!}\\\\_{22} C_6 = \frac{22!}{6!*16!}\\\\_{22} C_6 = \frac{22*21*20*19*18*17*16!}{6!*16!}\\\\_{22} C_6 = \frac{22*21*20*19*18*17}{6!}\\\\_{22} C_6 = \frac{22*21*20*19*18*17}{6*5*4*3*2*1}\\\\_{22} C_6 = \frac{53721360}{720}\\\\_{22} C_6 = 74613\\\\[/tex]
There are exactly 74,613 ways to form a committee of 6 people from a pool of 22 total.
Let B = 74,613
------------------------------------------------------
To find the probability of neither Allen or Joe are on the committee, we divide the values of A and B found earlier
A/B = (38,760)/(74,613) = 0.5194805
This value is approximate.
Rounding to three decimal places, or rounding to the nearest thousandth, leads to the final answer 0.519
There's roughly a 51.9% chance of forming a panel where neither Allen nor Joe are members.