Answer:
The series:
10, 16, 22, ...This is an AP with the first term a₁ = 10 and common difference d = 6
a) Recursive formula:
a₁ = 10,aₙ = aₙ₋₁ + 6b) Explicit formula:
aₙ = a₁ + 6(n - 1) ⇒ aₙ = 10 + 6n - 6 ⇒ aₙ = 6n + 4c) n = 5 ⇒ a₅ = ?
a₅ = 6*5 + 4 = 34d) S₁₇ = ?
Sₙ = n(a₁ + aₙ)/2 = n(2a₁ + (n - 1)d)/2S₁₇ = 17(2*10 + 16*6)/2 = 986Step-by-step explanation:
sn=15+(n-1)2
the 20th row n=20 so the seats are
15+(20-1)(2)=53 seats
Explicit formula:
aₙ = a₁ + 6(n - 1) ⇒ aₙ = 10 + 6n - 6 ⇒ aₙ = 6n + 4
Write a formula to illustrate this arithmetic sequence:
3 mugs have the same capacity as 2 bottles. The capacity of 10 mugs and
8 bottles is 15.4 l. Find the capacity of a mug.
Answer:
0.70L
Step-by-step explanation:
3m=2b
convert 8 b to mugs
therefore 8b=12m
12m+10m=22m
15.4/22=0.700l
please help this is so hardddd
Answer:
x < 9 ; x > 15
Step-by-step explanation:
| x - 12 | > 3
x - 12 > 3
x > 12 + 3
x > 15
-x + 12 > 3
-x > 3 - 12
-x > -9
x < 9
Combined:
x < 9 ; x > 15
A researcher posts a radio advertisement offering $35 in exchange for participation in a short study. The researcher accepts the first eight people who respond to the advertisement. Which of the following statements is true about the sample? (5 points)
A. It is a valid sample because the first eight people were selected to participate.
B. It is not a valid sample because it is not a random sample of the population.
C. It is a valid sample because money was offered to participants.
D. It is not a valid sample because it is only a short study.
Answer:
B.
Step-by-step explanation:
Its meh best guess
Answer:
B.
Step-by-step explanation:
I think it is B
Question below in photo!! Please answer! Will mark BRAINLIEST! ⬇⬇⬇⬇⬇⬇⬇
Answer:
180 degrees minus 54 equals jml
Step-by-step explanation:
180-54=JML
PLS HELP ITS DUE TODAY
Which has the greatest effect on the amount of salt in a salt marsh?
A) the number of animals living in the marsh
B) the closeness of the marsh to the ocean
C) the depth of the water in the marsh
D) the temperature of the water in the marsh
Answer:
the answer is B because ocean water has salt in itLucy drank 6 liters of water after 2 days. How many liters of water did she drink after 6 days?
Answer:
18 Liters of water
Given f z please help
Answer:
z = -11, z = -2
Step-by-step explanation:
Given that, ([tex]f(z)=\sqrt{z+27} -z[/tex]) and ([tex]f(z)=7[/tex]), set up an equation that puts the first value of ([tex]f(z)[/tex]) equal to the other given value of the function.
[tex]f(z)=\sqrt{z+27}-z=7[/tex]
Use inverse operations to solve,
[tex]\sqrt{z+27}-z=7\\\\\sqrt{z-27}=7+z\\\\z+27 = (7+z)^2\\\\z + 27 = 49+14z+z^2\\ -(27+z)\\\\0 = z^2+13z+22[/tex]
Factor,
[tex]0=(z+11)(z+2)[/tex]
Solve using the zero product property, the zero product property states that any number times zero equals zero;
[tex]z=-11,z=-2[/tex]
Answer:
Then solve the rest using the quadratic formula
please help me i really need help please
Answer:
Savannah, GA
Step-by-step explanation:
I just looked it up.
If the length of the radius and the height of a right circular cylinder are both tripled to form a larger cylinder, what is the ratio of the volume of the larger cylinder to the volume of the smaller cylinder? (Note: The two cylinders are said to be "similar.")
Answer:
The ratio of the volume of the larger cylinder to the volume of the smaller cylinder is 27:1
Step By Step Explanation:
Volume of the smaller cylinder(V1)=π(r^2)h
Volume of the larger cylinder(V2)=π(r^2)h
=π(3r)^2*3h
=π*9(r^2)*3h
=27π(r^2)h
The ratio of the volume of the larger cylinder to the volume of the smaller cylinder is 27π(r^2)h/π(r^2)h i.e. 27:1
Ava is decorating cupcakes for a wedding.
of the cupcakes are yellow.
3/10
of the remaining cupcakes are green.
3/4
The rest of the cupcakes are purple.
Ava made 120 cupcakes. How many purple cupcakes?
Answer:
21 are purple
63 are green
36 are yellow
Step-by-step explanation:
30% of 120 is 36
120 - 36 = 84
75% of 84 is 63
84 - 63 = 21
WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
3 months
Step-by-step explanation:
you have to check when the two lines intercept
Watching the graph you can see that it happens after 3 months
Answer:
in 3 months
Step-by-step explanation:
45x + 305 = 30x + 350,
15x = 45
x = 3
.
.
.
The water diet requires one to drink two cups of water every half hour from when one gets up until one goes to bed, but otherwise allows one to eat whatever one likes. Four adult volunteers agree to test the diet. They are weighed prior to beginning the diet and after six weeks on the diet. The weights (in pounds) are
Person 1 2 3 4
Weight before the diet 180 125 240 150
Weight after six weeks 170 130 215 152
For the population of all adults, assume that the weight loss after six weeks on the diet (weight before beginning the diet minus weight after six weeks on the diet) is normally distributed with mean (µ). When testing the claim that the diet leads to weight loss after six weeks for all adults given that α=0.05, do you reject or fail to reject the Null Hypothesis, why or why not?
Answer:
hope this help you
have a nice day/night
6. What equation would you use to solve for x?*
could someone possibly help me ??
Answer:
b
Step-by-step explanation:
Plees what is 7x9 i ned help plees
Four members of a relay team evenly split the distance of a race. Each person ran more than 100 meters. Which inequality can be used to represent d, the total distance the group ran?
4 d greater-than 100
4 d less-than 100
StartFraction d Over 4 EndFraction greater-than 100
StartFraction d Over 4 less-than 100
Answer:
The answer would be C.
Step-by-step explanation:
Since each person ran more than 100 meters, the answer would be greater than 100.
d is the total distance the group ran, not the individual distance, so it couldn't be 4d because that would mean it would be 4 times d.
The answer would be d divided by 4. d/4. That is because the total distance divided by 4 would be the individual distance.
Answer:
it is c
Step-by-step explanation:
Need a lot of helpppp
Answer:
A
Step-by-step explanation:
A is a triangular prism
please help me. right answer will get brainliest
Answer:
I attached the answers :)
Step-by-step explanation:
hope this helps :)
(Its a bit messy becuz i used a mouse to write, sry about that)
A line passes through the point (-10,8) and has a slope of 1/2.
Write an equation in slope-intercept form for this line.
Answer:
the answer is y=1/2x+13
Please help, AGAIN. will give another 14 points.
Answer:
8
Step-by-step explanation:
friend formula of Range = Max(Maximum) - Min(Minimum)
Maximum= 9 - Minimum = 1
Range = 8.
if it helps don't forget to like and mark me down
Answer:
The answer is 8
Step-by-step explanation:
The biggest number in the set is 9, and the smallest is 1, so if you subtract you get 8.
9
- 1
-------
8
PLS HELP 20 PTS
how many solutions are there to this nonlinear system?
a. two solutions
b. no solutions
c. one solution
u(3u+4)-u(u+2)
HELP PLEASE I NEED IT RN
Tomas drew a rectangle with an area of 6 square centimeters.what is the greatest possible perimeter of this rectangle?Explain please. i want 20 answers please
A point is chosen at random on AK what is the probability that the point will be on FI don't reduce
Answer: 3/10
Step-by-step explanation:
The probability that the point will be on FI is 3/10 if a point is chosen at random on AK the answer is 3/10.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have a number line shown in the picture:
Total Number partition or gaps between each letter(between A and K):
= 10
Total number of outcomes = 10
Total number of favorable outcomes(between F and I) = 3
The probability that the point will be on FI:
By using the definition of the probability:
= favorable outcomes/total outcomes
= 3/10
Thus, the probability that the point will be on FI is 3/10 if a point is chosen at random on AK the answer is 3/10.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ2
what does noncollinear
9514 1404 393
Answer:
not on the same line
Step-by-step explanation:
Any two distinct points define a line. Additional points may or may not be on that line. If they are on the line, they are collinear with other points on the same line.
Any point not on the line is noncollinear with the points that are on the line.
Find the interquartile range (IQR) of the data in the box plot below.
cm
Amount of rain in Vietnam cities
(centimeters)
+
++
0 1 2
3
4
5
6
7
8
9
10
Stuck? Watch a video or use a hint.
Answer:
1.5 cm
Step-by-step explanation:
Interquartile range (IQR) = Q3 - Q1
From the box plot given, the third quartile (Q3) is the data value that falls exactly at the end of the edge of the rectangular box = 7 cm
The first quartile (Q1) is the data value exactly at the beginning of the edge of the box = 5.5 cm
Interquartile range (IQR) = 7 - 5.5 = 1.5 cm
the angle of parallelogram is 12 less than 5 times the measure of these angle
let one angle be X
so, other angle be 5x-12
ATQ
X+5x-12=180
6x=180-12
6x=168
X=168/6
hence X=28
now,one angle=28
other angle is 5×28-12
= 140-12.
= 128
Write the property that matches the equation.
3+(4+7)=(3+4)+7
Answer:
associative property
Step-by-step explanation:
Answer:
Associative property of addition
Step-by-step explanation:
The associative property states that numbers can be added or multiplied regardless of their paratheses. This means that how the numbers are grouped can change and still be equal. Another example of this would be [tex]2+(6+5)=(2+6)+5[/tex]. In both equations the sides are balanced.
William needs to take out a loan for $2,400. Which of these payment plans would have William
paying the last interest
A 18 payments of $144.15
8 12 Payments of $211
C 15 payments of $170.88
D payments of $110.75
On a coordinate plane, parallelogram H I J K is shown. Point H is at (negative 2, 2), point I is at (4, 3), point J is at (4, negative 2), and point K is at (negative 2, negative 3).
HIJK is a parallelogram because the midpoint of both diagonals is __________, which means the diagonals bisect each other.
(1,−1)
(1,1)
(1,0)
(0,1)
Answer:
(1,0)
Step-by-step explanation:
Given
[tex]H = (-2,2)[/tex]
[tex]I = (4,3)[/tex]
[tex]J = (4,-2)[/tex]
[tex]K = (-2,-3)[/tex]
Required
The midpoint of the diagonals
Midpoint is calculated as:
[tex]M = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
For H and J, the midpoint is:
[tex]M = (\frac{-2+4}{2},\frac{2-2}{2})[/tex]
[tex]M = (\frac{2}{2},\frac{0}{2})[/tex]
[tex]M = (1,0)[/tex]
For I and K, the midpoint is:
[tex]M = (\frac{4 - 2}{2},\frac{3-3}{2})[/tex]
[tex]M = (\frac{2}{2},\frac{0}{2})[/tex]
[tex]M = (1,0)[/tex]
The midpoint of both diagonal is: (1,0)
Answer:
option C
Step-by-step explanation: