What's the eleventh term of a sequence with an explicit rule of ƒ(n) = 2 + 3(n – 1)?
Question 16 options:
A)
ƒ(11) = –31
B)
ƒ(11) = 32
C)
ƒ(11) = 23
D)
ƒ(11) = –22
Answers
Answer:
B. F(11) = 32
Step-by-step explanation:
From the explicit equation,
F(n) = 2 + 3(n - 1)
F(11) = 2 + 3(11 - 1)
F(11) = 2 + 33 - 3
F(11) = 35 - 3
F(11) = 32
The 11th term of the sequence with an explicit rule is 32
Related Questions
: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Are the ratios
25/45
and
15/27
proportional? Explain.
Answers
Answer:
Yes
Step-by-step explanation:
First ration we will divide by 5 (both numbers) and second one by 3 (again both numbers).
First ratio becomes (25:5)/(45:5) = 5/9
Second ratio becomes (15:3)/(27:3) = 5/9
Since we can simplify them in that way that both are the same that means they are proportional.
because when we make them smaller like 25/45 divide by 5 and 15/27 divide by 3 it forms 5/9
Answer:
Yes
Step-by-step explanation:
If you divide 25/45 by 5 you get 5/9
Then you divide 15/27 by 3 you also get 5/9
Since both are equal to 5/9 they are proportional.
Percentages
Gunpowder contains 75% nitre and 10% sulfur. Find the amount of gunpowder which carries 9 kg nitre. What amount of gunpowder would contain 2.3 kg sulfur?
Answers
Answer:
Let the amount of gunpowder that contains 9 kg nitre be x kg. ∴ The amount of gunpowder containing 9 kg nitre is 12 kg.
So, about 200 kg gunpowder
Joanne cannot decide which of two washing machines to buy. The selling price of each is $440. The first is marked down by 40%. The second is marked down by 30% with an additional 10% off. Find the sale price of each washing machine. Please hurry.
Answers
Second machine=$277.20
What is a scatter plot?
A. A table of measurement data used to construct a graph
B.A display of points that shows the relationship between two sets of data
C.A graph that has several different lines scattered on the coordinate plane
D.A graph that is nonlinear
Answers
Answer:
D
Step-by-step explanation:
need help with this fast!!!!
Answers
Answer:
the second one
Step-by-step explanation:
B
Explanation:
Absolute Value – how far or the
[ Select ] Answer | Counter | Number | or distance
a number is from zero.
Answers
Answer:
The last answer or Distance a number is from zero
Step-by-step explanation:
It's this answer because absolute value is just how far a number is from zero for example | -1 | is equal to 1 because -1 is 1 away from zero. Hope this helps :)
Answer:
The last answer or Distance a number is from zero i think i dont know
Step-by-step explanation:
PLESAE HELP ME SOLVE THIS!! THANK YOU!!!
(9*10^9)*(-2*10^-3)
Answers
The cost of renting an inflatable bounce house for 2 hours is $53.50. At this rate, what is the cost of renting the bounce house for 5 hours?
Answers
Answer:80.25
Step-by-step explanation:
Find what the x is.
45= 5/7x
Answers
Answer:
x = 63
Step-by-step explanation:
Step 1: Multiply both sides by 7/5.
\(45 *\frac{7}{5}=\frac{5}{7}x*\frac{7}{5}\) \(63 = x\)Step 2: Check if solution is correct.
\(45 = \frac{5}{7}(63)\) \(45 = 5 * 9\) \(45 = 45\)Therefore, x = 63.
x = 63
Step-by-step explanation:45 = 5/7x
=> 9 = x/7
=> x = 63.
Hoped this helped.
4 = u/5 - 10
please help me
Answers
a Baker used 7 bags of cookie-doe to make 10 cookies he used__ of a doe for each cookies- How many?
Answers
Answer:
I think it is 70
Step-by-step explanation:
7(10)=70
70=70
please help (fractions)
Answers
Answer: 2/15 and 9/10
Step-by-step explanation:
Set up cross-multiplication.
If Michelle reads 1/3 book in 2 1/2 hours, she reads X in 1 hour.
1/3 2 1/2
x 1
1/3 = 2 1/2 x
divide by 2 1/2
1/3 divided by 2 1/2 = convert 2 and a half to 5/2
1/3 divided by 5/2 - keep, change, flip. (your teacher should have covered a method like that)
1/3 times 2/5 is 2/15.
For question 2, lets do the same thing.
3/5 times 2/3 equals x times 1
3/5 times 1 is 3/5
2/3 times x is 2/3x
(this looks better on paper)
3/5=2/3x
divide by 2/3
answer - he will finish 9/10 assignment in the hour
1/3 book = 2 1/2 (5/2) hours
1/3 *2/5 = 1 hour
2/15 book reading in 1 hour
Q2
3/5 = 2/3 hours
3/5 * 3/2 = 1 hour
9/10 assignment in one hour
1. If the height of a parallelogram is 27.3 m and the base is 6.3m, what is the area of the parallelogram?
2. If the base of a rectangle is 27.4 mm and the area is 420.92 mm2. What is the height of the rectangle?
3. What is the height of a rectangle with a perimeter of 133.2 mm and a base length of 30.6 mm?
4. If the base of a parallelogram is 61 m and the area is 645 m2, what is the height of the parallelogram
5. What is the perimeter of a parallelogram with a base of 32 cm, a side length of 34 cm, and a height of 19 cm?
6. What is the area of a parallelogram with a base of 40 mm, a side length of 15 mm, and height of 18 mm?
7. If the height of a rectangle is 8.8 m and the base is 7.9 m, what is the perimeter of the rectangle
8. If the base of a rectangle is 23cm and the area is 354 cm2, what is the height of the rectangle?
9. What is the area of a square with a perimeter of 44 mm?
10. What is the area of a square with a perimeter of 55 cm?
Introduction to Perimeter & Area of Polygons
Answers
Answer:
1) to work out the area of a parallelogram you need to do area= base x height.
6.3x27.3=171.99m^2
2) 420.92/27.4= 15.36mm to 2 decimal places
3) 133.2x30.6=4075.92mm^2
4) 651/61=10.57m to 2 decimal places
5) (32x2)+(34x2)=132mm
6) 40x18=720mm^2
7) (8.8x2)+(7.9x2)=33.4m
8)354/23= 15.39cm to 2 decimal places
9) 44/4=11
11x11=121mm^2
10)55/4=13.75
13.75x13.75=1890.0625cm^2
11) 43x18=774m^2
12) 25x35=875m^2
13)600/16=37.5m
14) 125-(40.5x2)=44.6
44.6/2=22.3
22.3x40.5=903.15cm^2
15) 64.3x4.3=276.49m^2
Step-by-step explanation:
please help
find all points on the curve…
Answers
A rectangular prism is 2 inches by 4 inches by 6 inches.
Kimaya says, “It takes more 2/5-inch cubes to fill the prism than 1/5-inch cubes.”
Do you agree with Kimaya? Explain or show your reasoning.
Answers
No, I do not agree with Kimaya. The volume of the rectangular prism is 2 inches x 4 inches x 6 inches = 48 cubic inches. To fill the rectangular prism with 2/5-inch cubes, you would need 48 cubic inches / (2/5) cubic inches per cube = 120 cubes. To fill the rectangular prism with 1/5-inch cubes, you would need 48 cubic inches / (1/5) cubic inches per cube = 240 cubes.
So, it takes less 2/5-inch cubes to fill the prism than 1/5-inch cubes.
Another way to think of it is that the larger the cubes, the less number of cubes you need to fill the same volume, as the cubes are larger in size.
Simple Explanation: 2/5 in. cubes are more than 1/5 in. cubes, so 1/5 in. cubes would take 2x more to fill than 2/5 in.
Complex Explanation: 2 in. x 4 in. x 6 in. is 48 cubic in. and to fill 48 cubic in. using 2/5 in. per cube, it would be 120. as for 1/5 in., to fill 48 cubic in. with that would be 240. Easier way to think of it is that 2/5 in. cubes are already 120 and 1/5 would be doubling that so all you gotta do is multipy 120 x 2 since filling it with 1/5 would be 2x the amount than 2/5.
Hope this helped :D
PLEASE HELP if can
(file below)
Answers
Answer: B ,hope it helps!
6. The table shows the equations Ms. Valez discussed in math class today.
Explain the pattern of zeros in the product when multiplying
by powers of 10.
Answers
Answer:
One zero is always added when the power is added by +1
Step-by-step explanation:
HELP ME PLEASE, I GOT STUCK AND IT'S DUE TODAY!!
Answers
Answer:
23. 1/5 24.7/10 25. 23/50
Answer:
his is correct
Step-by-step explanation:
PLEASE HURRY This table shows how many t-shirts of each color Marcus has in his closet. If he chooses a T-shirt without looking, what is the probability that it will be white?
Answers
Answer:
3/30
Step-by-step explanation:
3/30 or 1/10 simplified
which is 30.
so 3 out of 30 are white,
and 30/3 is 10, so you can simplify and rewrite as
1/10
What is the distance, in units, between the two points?
Answers
Answer: 8units by 5units
Step-by-step explanation: I started with the length counted from the point (-3,4) counting the number of squares that go to point (3,-4) giving me 8squares/units
then the width I used the same method getting 5squares/units
Answer: 10 units
The points are (-3,4) and (3,-4)
We can use the distance formula for this, which is
d=√((x2-x1)²+(y2-y1)²)
So we can assign
X1 as -3
Y1 as 4
X2 as 3
Y2 as -4
Substitute these in the formula
d=√(3-(-3))²+((-4)-4)²
d=√(6)²+(-8)²
d=√(36+64)
d=√100
d= 10
the perimeter should be 12 cm right?
Answers
Answer: I'm pretty sure
Step-by-step explanation:
Leo is playing a computer game where he must multiply a number by a factor that increases the number's size each time. Which of the following factors could he multiply by to continue to increase the size of his number? (50 POINTS CHOOSE A B C OR D)
A six-fifths
B four-fourths
C two-thirds
D seven-twelfths
Answers
Answer: A
Step-by-step explanation:
I don’t know how to explain but I would go A
Examine the graph shown below.
Answers
Answer:
Step-by-step explanation: y=4 slope 0
Sam has a collection of yellow and red cards. Yellow cards are worth 3 points and
red cards are worth 5 points. He has at most 15 cards, totaling at least 45 points.
This can be modeled by the following system.
y + r < 15
3y + 5r > 45
Graph the system. Then use the graph to determine which combination is a
solution.
1. 3 yellow and 9 red
2. 6 yellow and 4 red
3. 9 yellow and 3 red
4. 12 yellow and 8 red
Answers
Answer:1.
1. 3 yellow and 9 red
Step-by-step explanation:
r, the amount of red cards, is represented ox x-axisy, the amount of yellow cards, is represented ox y-axisIn the picture attached, the system is represented. The darker area shows all the points that are a solution to the system of inequalities.
The combinations can be rewritten as a coordinate pair, as follows:
1. 3 yellow and 9 red -> (9,3)
2. 6 yellow and 4 red -> (4,6)
3. 9 yellow and 3 red -> (3,9)
4. 12 yellow and 8 red -> (8,12)
As we can see in the picture, only the first option is a solution.
Solve 24 =y +17.5 y=
Answers
17.5-24 you place the 24 near the 17.5 and make 24 a negative so the equation would be
y= 17.5-24
Answer:
\( \sf \: y = 6.5\)
Step-by-step explanation:
Now we have to,
→ Find the required value of y.
The equation is,
→ 24 = y + 17.5
Then the value of y will be,
→ 24 = y + 17.5
→ y + 17.5 = 24
→ y = 24 - 17.5
→ [ y = 6.5 ]
Hence, the value of y is 6.5.
What is the greatest number less than 400 such that 4 is the greatest common divisor of the number and 24?
Answers
Answer:
its simple greatest number less that 400 is 399
Answer:
388
Step-by-step explanation:
Definition from Wikipedia
In mathematics, the greatest common divisor (GCD) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers. For two integers x, y, the greatest common divisor of x and y is denoted as gcd(x,y) . For example, the GCD of 8 and 12 is 4, that is, gcd(8,4)=4 (https://en.wikipedia.org/wiki/Greatest_common_divisor)
Methodology to find greatest common denominator(factor) for 2 numbers
Write down the divisors of both numbersCollect the common divisors of both termsChoose the largest divisor from the above termsThe divisors of 24 are 1, 2, 3, 4, 6, 8, 12, 24Since the number is less than 400, it must be 4 x D where D < 100Let's try 4 x 99 = 396. Divisors are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396. gcd(24, 396) = 12.Try D = 98 ==> 4 x 98 = 392 with divisors 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392. gcd(24, 392) = 8Try D = 97 ==> 4 x 97 = 388. Divisors of 388 are 1, 2, 4, 97, 194, 388 gcd(4, 388) = 4Note that even though I have listed all divisors of the higher number, you don't have to compute all divisors. You can stop figuring out the divisors once the larger number is divisible by the number that is higher than 4 but slosest to i. For example, in the case of 396, I would stop computing as soon as I found it is divisible by 6
I NEED HELP FAST please
Answers
a) The step where Mardie first made an error is given as follows: Step 1, as the negative sign means that the sign of each term inside the parenthesis should be changed.
b) The correct expression is given as follows: -8.6b + 28.
How to simplify the expression?The expression in the context of this problem is defined as follows:
(-3.78b + 12) - (4.82b - 16).
The negative sign before the parenthesis means that the sign of each term inside the parenthesis is changed, hence:
-3.78b + 12 - 4.82b + 16.
This is the step where Maddie made the first error.
Then, to simplify the expression, we combine the like terms, as follows:
b(-3.78 - 4.82) + 12 + 16 = -8.6b + 28.
More can be learned about simplification of expressions at https://brainly.com/question/723406
#SPJ1
Jake’s class sold chocolate bars to raise money for the school. He entered the number of chocolate bars sold in column A of his spreadsheet. He entered the function rule into the computer to calculate the entries in column B and C.
What is the function rule that Jake used to get the results from Column A to C?
Answers
Answer:
i think a to c is dividing by 4.5
Step-by-step explanation:
What is the value of x in this triangle?
Enter your answer in the box.
x =
Answers
Answer:
x = 56
Step-by-step explanation:
Answer: the answer is 61
Step-by-step explanation:
Add 82+37=119
then subtract 180-119=61
Find the equation of a line perpendicular to y=−23x+7 that passes through the point (-6, 11)
A. y=−2/3x+7
B. y=2/3x+15
C. y=−3/2x+2
D. y=3/2x+20
E. y=3/2x+2
Answers
Nakwuwhqysuwnsbznakiaia
Explanation bc it is