Answer:
number of terms=9
Step-by-step explanation:
[tex]t_{1}=6\\t_{5}=18\\\\t_{n}=t_{1}+(n-1)d\\18=6+(5-1)d\\18-6=4d\\4d=12\\d=12/4=3\\s_{n}=162\\s_{n}=\frac{n}{2}[2t_{1}+(n-1)d]\\162=\frac{n}{2}[2(6)+(n-1)3]\\162 \times 2=n(12+3n-3)\\324=n(3n+9)\\3n^2+9n-324=0\\n^2+3n-108=0\\n^2+12n-9n-108=0\\n(n+12)-9(n+12)=0\\(n+12)(n-9)=0\\n=-12,9\\n=-12 (rejected)[/tex]
as number of terms can't be negative.
Answer:
PLS MARK BRAINLIEST
Step-by-step explanation:
Sn = n/2(2a+(n-1)d)
a=6
a+ 4d= 18
6 +4d= 18
4d = 12
d = 3
162= n/2(12+(n -1)3)
324=n(12 + 3n-3)
324=12n + 3n^2 - 3n
3n^2 + 9n-324=0
3n^2+ 36n-27n -324 =0
3n(n+12) -27(n+12)= 0
3n-27 =0; n+ 12=0
n=9 ; n= -12
since n can't be negative n=9
The number of terms is 9
is 1/3 more than the number 3?
Answer:
1/3 is less than 3
Step-by-step explanation:
1/3 = 0.3333 which is less than 3
Find the equation (in terms of x) of the line through the points (-2,3) and (4,-9)
y =
Answer:
y =5
Step-by-step explanation:
m=
−9−7
5−5
=
−16
0
=0
y=mx+b
5=(0)(7)+b
b=5
therefore y = 5
Answer: y = -2x - 1
Step-by-step explanation:
We can calculate the slope from the two given points. Slope is the change in y per the change in x, sometimes called the rise (y) over the run (x)
Rise is (-9 -3) = -12
Run is (4 - (-2)) = 6
Slope = Rise/Run = -12/6 = -2
The line is y = -2x + b
Find b by using either of the two known points (solutions). I'll choose (-2,3) [because I like smaller numbers]
y = -2x + b
3 = -2*(-2) + b
b = -1 [That was only slightly easier than -9 = -2*(4) + b; b = -1]
The equation is y = -2x - 1
Rational numbers that are not intergers
Answer:
This includes numbers that are not whole numbers (+ or -). For example, 6.79, 20,193.917017, 4/25, etc.
Monica’s dog weighed nineteen and four hundred fifteen
thousandth pounds. How do you write this number in decimal
form?
Answer:
19.0415
Step-by-step explanation:
Answer:
19.0415
Step-by-step explanation:
Write a number that has a 6 in the thousandths place, a 5 in the hundredths place, and a 0 in the tenths place. Then write a number less than your number and greater than your number
Answer:
i am not sure bi it may be 2
FIND THE NUMBERR!!!!!!
Answer:
3?
Step-by-step explanation:
i think thats right but sounds to easy
CAN SOMEONE PLEASE HELP WITH QUESTIONS 3 THROUGH 11?? YOU DON’T EVEN HAVE TO DO ALL OF THEM JUST THE ONES U FEEL LIKE DOING (ILL MARK AS BRAINLIEST!!)
Answer:
3. 3/2
4. -1/3
5. -3.5
6. -6and 2/3
7. -18and 13/24
8. 1/18
9.-2.6
10.-1.83
11. 14.963
Step-by-step explanation:
HOPE THIS HELPS, if not see me in the comments
BRANILIEST PLZZZ
What is the base in 8³
Solve for x using the figure to the right.
Answer:
Step-by-step explanation:
A manufacturer has a monthly fixed cost of $40,000 and a product cost of $8 for each unit produced. The products sells for $12/unit.
Answer:
48,000
Step-by-step explanation:
The cost function by the given data is C(x) = 40,000 + 8x.
We are given that;
Monthly fixed cost = $40,000
The product cost for each unit produced= $8
Now,
The cost function is a function that gives the total cost of producing a certain number of units. The cost function depends on the fixed cost and the variable cost per unit. The fixed cost is the amount of money that the manufacturer has to pay regardless of how many units are produced, such as rent, salaries, utilities, etc. The variable cost per unit is the amount of money that the manufacturer has to pay for each unit produced, such as materials, labor, etc.
In this case, the fixed cost is $40,000 and the variable cost per unit is $8. To find the cost function, we need to add the fixed cost and the product of the variable cost per unit and the number of units.
We can use x to represent the number of units and C(x) to represent the cost function.
Then we have:
C(x) = fixed cost + (variable cost per unit)(number of units)
C(x) = 40,000 + (8)(x)
Therefore, by algebra the answer will be C(x) = 40,000 + 8x.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ2
WILL MARK BRAINLIEST!
Simplify 4x²+ x− (x²+x−2)
Answer:
3x²+2
Step-by-step explanation:
4x²+ x - (x²+x - 2)4x²+ x - x²-x+24x²-x²+x-x+23x²+2copy the picture and put a dot on where i put it
Answer:
Step-by-step explanation:
I Hope This Help
Answer:
hERE
Step-by-step explanation:
solve the inequality. 2y ≥ 4
Answer: y≥2
Step-by-step explanation:
Step-by-step explanation:
[tex]2y \geqslant 4[/tex]
[tex]y \geqslant \frac{4}{2} [/tex]
[tex]y \geqslant 2[/tex]
At the Richard's pound the ratio of cats to dogs is 9 to 6. If there are 45 cats in the pound then
how many dogs are in the pound?
Answer:
30 dogs are in the pound.
Step-by-step explanation:
If the original ratio is 9:6
Then multiply both sides by 5: (9*5) : (6*5)
New ratio: 45:30
What is the triangular number of 27
Answer:
378
Step-by-step explanation:
nth triangular number: n(n+1) / 2
27th triangular number: 27(27+1) / 2 = 27*28 / 2 = 378
Jon and Becky measured the circle-shaped part of a sun they drew on the sidewalk.
The diameter of the circle is 67 centimeters. What is the approximate area of the circle? (Use 3.14 for .)
Answer:
the area of the circle is 3,523.86
Step-by-step explanation:
Help!! Please :(????
Answer:
100
Step-by-step explanation:
Because they each give away 10 samples (INCLUDING JASMINE) so 10x10 equals 100 so the answer is 100
Answer:
Step-by-step explanation:
10*10=100
including jasmine with her 9 friends we have 10 people giving away 10 samples of chocolate each. Every person has to give away 10 samples. So 10 times 10. Which gives us a 100. I hope i understood your question correctly.
your answer: 100 samples given out in total
I will give brainliest! I just need an correct expression to this. You do not have to give answer :)
try 6+14-11
that's what I think
Answer:
+6+14-11, may be the correct expression there
Pleaseeseeeee help with question 7
:))))))))))))))))))))))))))))ty
Answer:
I/rt =P
Step-by-step explanation:
to get ride of the r and t u need to divide
divide by rt
which would =to I/rt=P
Flights 204 and 317 are both approaching Hartsfield Atlanta International Airport from directions directly opposite one another and at an altitude of 2.5 miles. The pilot on flight 204 reports an angle of depression of 17 degrees 47 minutes to the tower, and the pilot on flight 317 reports an angle of depression of 12 degrees 39 minutes to the tower. Calculate the distance between the planes.
Answer:
19.26 milesStep-by-step explanation:
Refer to attached picture. Not to scale.
The picture explains all the given parameters.
We need to find the distance d, which is the sum of x and y.
First convert minutes to degrees:
47 min = 47/90 deg = 0.52 deg39 min = 39/90 deg = 0.43 degFind x:
x/2.5 = cot (17.52°) ⇒ x = 2.5*3.1677 ≈ 7.92 miFind y:
y/25 = cot (12.43°) ⇒ y = 2.5*4.5369 ≈ 11.34 miThe distance between the planes:
7.92 + 11.34 = 19.26 miQuestion 15
5 pts
Nicole babysits on the weekends. She charges a
flat fee of $10 and then $5 per hour. If she made
$40 on Friday night, how many hours did she
babysit?
Choose the equation to represent this situation.
O
o 10h + 40 = 5
10h + 5 = 40
o 5 + 10 = 40h
o 5h + 10 = 40
-
what number when added to 3 2/5 gives 5
Answer:
1.6
Step-by-step explanation:
Ten people can dig 2 acres of land in 7 days. How long will 8 people working at half the rate of the first group take to dig 6 acres of piece of land?
Answer:
52.5 days
Step-by-step explanation:
Ten people can dig 2 acres in 7 days.
One person can dig 0.2 acres in 7 days.
Working at half the rate, one person can dig 0.1 acre in 7 days.
8 people can dig 0.8 acres in 7 days.
8 people can dig 6/0.8 * 0.8 acres in 6/0.8 * 7 days.
8 people can dig 6 acres in 52.5 days
You need nuts and bolts for an art project. You have $20 to spend and you can buy nuts for 45 cents each and bolts for 80 cents each. You need at least 30 pieces total. Write a system of inequalities to represent this situation. Let x = #nuts and y= # bolts.
solve the inequality. 1/3b - 4 ≤ 4
Answer:
b ≤ 24
Step-by-step explanation:
Treat it like a two-step equation:
1/3b - 4 ≤ 4
Add 4 on both sides: 1/3b - 4 (+4) ≤ 4 (+4)
1/3b ≤ 8
Multiply 3 on both sides (3)1/3b ≤ 8(3)
b ≤ 24
Although the actual amount varies by season and time of day, the average volume of water that flows over the falls each second is 3.2 x 10^5 gallons. How much water flows over the falls in an hour? Write the result in scientific notation. (Hint: 1 hour equals 3600 seconds)
Answer:
1.152 x 10^9 gal/hr
Step-by-step explanation:
Given:
3.2 x 10^5 gal / 1 sec
1 hr = 3600 s
Convert:
[tex]\frac{3.2 x 10^5 gal}{1 sec} * \frac{3600 sec}{1 hr}[/tex]
By this, seconds cancel out leaving us with gal/hr, which is what we need.
= 1152000000
Scientific Notation: 1.152 x 10^9
What is 3x+4(x-8)-14
[tex]\bigstar\boxed{\large\bf\purple{\leadsto 7x -46}}[/tex]
__________________________________________
[tex]\large\sf{\underline{Given:}}[/tex]
[tex]\sf{\longrightarrow 3x +4(x-8)-14}[/tex]
[tex]\sf{\longrightarrow 3x+ 4x-32-14}[/tex]
[tex]\sf{\longrightarrow 7x - 46}[/tex]
[tex]\large\sf{\underline{Hence,\:your\: answer\:is\:7x-46}}[/tex]
kylie makes $8.50 an hour working at a restaurant if she brings home $170 in her paycheck how many hours did she work
Answer:
20 hours
Step-by-step explanation:
hope this helps
Answer:
[tex]170 \div 8.50 = 20[/tex]
She has worked 20 hours at that restaurant
simplify. 5 - 8 ÷ 2 + 4
Answer:
5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
5 - 8 ÷ 2 + 4
Step 2: Simplify
Division: 5 - 4 + 4Subtract: 1 + 4Add: 5