Answer:
[tex] a_n = 31 - 3n\\\\
a_{30}= 59[/tex]
Step-by-step explanation:
Given Arithmetic sequence is:
28, 25, 22, 19, ...
a = 28, d = 25 - 28 = - 3,
nth term of an Arithmetic sequence is given as:
[tex] a_n = a + (n - 1) d\\[/tex]
Plugging a = 28 & d = - 3 in the above equation, we find:
[tex] a_n = 28 + (n - 1) (-3)\\\\
a_n = 28 - 3n +3\\\\
\huge\purple {\boxed {a_n = 31 - 3n}} \\(This \:is \:the \:required \:equation) \\\\
Plug \: n = 30, \: we \: find:\\\\
a_{30}= 31 - 3 \times 30\\\\
a_{30}= 31 - 90\\\\
\huge\orange {\boxed {a_{30}= 59}} \\\\
[/tex]
Which equation in standard form has a graph that passes through the point (5, −2) and has a slope of 72 ?
A. 7x − 2y = 35
A. 7x − 2y = 35
B. 7x − 2y = 39
B. 7x − 2y = 39
C. 7x − 2y = −31
C. 7x − 2y = −31
D. 7x − 2y = −24
D. 7x − 2y = −24
Given:
Consider the graph passes through the point (5, −2) and has a slope of [tex]\dfrac{7}{2}[/tex].
To find:
The equation of graph in standard form.
Solution:
Point slope form of a line is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope and [tex](x_1,y_1)[/tex] is the point lies on the line.
Slope is [tex]\dfrac{7}{2}[/tex] and graph passes through (5,-2), so the equation of line is
[tex]y-(-2)=\dfrac{7}{2}(x-5)[/tex]
[tex]y+2=\dfrac{7}{2}(x-5)[/tex]
Multiply both sides by 2.
[tex]2(y+2)=7(x-5)[/tex]
[tex]2y+4=7x-35[/tex]
[tex]4+35=7x-2y[/tex]
[tex]39=7x-2y[/tex]
The required equation is [tex]7x-2y=39[/tex].
Therefore, the correct option is B.
One California fan palm tree grew 51 inches in 3 years. A queen palm tree grew 48 inches in 4 years. Which tree grew faster? Complete the explanation. The growth rate of the California fan palm is what inches per year and the queen palm's growth rate is what inches per year. So, the what grew faster.
Answer:
Queen palm tree grew faster than the California fan palm tree
Step-by-step explanation:
One California fan palm tree grows 51 inches in 3 years
Rate = 51/3 = 17 inches/year
A queen palm tree grows 48 inches in 4 years
Rate = 48/4 = 12inches/year
Clearly the Queen palm tree grew faster than the California fan palm tree as Queen palm tree grows 12inches/year than California Fan palm tree 17 inches/year .
Answer:
the california fan palm
Step-by-step explanation:
you have to know which tree grew faster so you have to know how many inches they grow per year so you have to...
divide 51 by 3 and the answer is 17 inches per year
and divide 48 by 4 and the answer is 12 inches per year
so 17 is greater than 12
Help plz:))) I’ll mark u brainliest
Answer:
x=4
Step-by-step explanation:
checked my answer its right
What is the value of |4 X -3 + 9| plzzz hurry
Answer:
|4X + 6|
Step-by-step explanation:
Evaluate g(x)=6x when x=-3,0, and 4 .
Answer:
-3 = -18
0 = 0
4 = 24
Step-by-step explanation:
-3... so 6(-3) equals -18 because a positive times a negative equals a negative
0... so 6 (0) equals 0 because anything multiplied by 0 equals 0
4... so 6 (4) equals 24
() means multiplied by so if it’s y(x) then that means y is multiplied by x :)
Find an equation relating x and y
Answer:
(3,3) is a 3rd of (6,9)
Step-by-step explanation:
What is the volume of a sphere with a diameter of 2.2 ft, rounded to the nearest tenth
of a cubic foot?
Answer:
V≈5.58ft³ d=2.2 ft
Step-by-step explanation:
V=4 3πr3
d=2r
Solving for V
V=1 6π d3 =1 6·π·2.23≈5.57528ft³
Hope this helps! :D
Answer:
5.6 ft
Step-by-step explanation:
\text{Volume of a Sphere:}
Volume of a Sphere:
V=\frac{4}{3}\pi r^3
V=
3
4
πr
3
\text{radius} = \frac{\text{diameter}}{2} = \frac{2.2}{2}=1.1
radius=
2
diameter
=
2
2.2
=1.1
feet
\text{Plug in:}
Plug in:
\frac{4}{3}\pi (1.1)^3
3
4
π(1.1)
3
5.57527976257
Select the function that represents a geometric sequence.
O A. A(n) = P(1 + i)n - 1, where n is a positive integer
O B. A(n) = P+(n-1)i• P, where is any real number
O C. A(n) = P(1 + i)n - 1, where n is an real number
O D. A(n) = P + (n-1)i• P, where n is a positive integer
A geometric series is the collection of an unlimited number of terms with a fixed ratio between them. The correct option is A.
What is geometrical series?A geometric series is the collection of an unlimited number of terms with a fixed ratio between them.
An geometric series is a series where the ratio of any two consecutive term is the same. Therefore, the nth term of a geometric series is given as,
[tex]a_n = a_1 \times r^{(n-1)}\\\\A(n) = P(1+i)^{n-1}[/tex]
Hence, the correct option is A.
Learn more about Geometrical Series:
https://brainly.com/question/4617980
#SPJ1
Solve this to help me
Answer:
D
Step-by-step explanation:
Hope I helped
Marla owes her sister $15. She pays her $6 today. Which integer represents the amount of debt she has remaining?
Answer:
The integer that represents the amount of debt she has remaining is $9
Step-by-step explanation:
$15 - $6 = $9
Please help! Asap! (Photo)
Answer: 1 true 2 false
Step-by-step explanation: Sorry I’m kinda rusty if you get it wrong
Big Time Movers charges an initial fee of $24.50, plus $12.75 an hour for their moving services. On holidays, they charge 2.5 times their regular total amount. If they made $188.75 on a job on New Year’s Day, how many hours did they work?
This equation represents the data:
2.5(12.75x + 24.50) = 188.75
Big Time Movers worked ________ hours on New Year’s Day.
Answer:
4 hours
Step-by-step explanation:
I did it on edg2020. Hope this helps
find the slope between the points (5,6) and (9,6)
Answer:
the slope is m=0
Step-by-step explanation:
when I put it in the graph and slope calculator I got 0
Answer:0
Step-by-step explanation:
The slope equation is y2-y1/x2-x1 so it would look like this: 6-6/5-9. If you simplify, the slope equals 0
A runner's racecourse has a total distance of . Race officials want to mark the course every with a flag, including one at the finish line. (The starting line does not need a flag.) How many flags are needed? First fill in the blanks on the left side of the equation using three of the ratios shown. Then write your answer on the right side of the equation.
Complete question :
A runner's racecourse has a total distance of 2.5 mi. Race officials want to mark the course every 200 yd with a flag, including one at the finish line. (The starting line does not need a flag. How many flags are needed?
Answer:
22 flags
Step-by-step explanation:
Given that total distance = 2.5 miles
Marked distance = every 200 yards
Ratio of yard to miles:
1 mile = 1760 yards
Total distance in yards :
Note :
1 mile = 5280 feet
1 yard = 3 feet
Given that:
1 flag per 200 yards
Number of flags :
2.5 miles * (5280 / 1 ) * (1 /3) * (1 / 200) = 22 flags
Similarly ;
Since 1 mile = 1760 yards
Total distance in yards : (2.5 * 1760) = 4400 yards
Number of flags :
Total distance in yards / marked distance
= 4400 / 200
= 22 flags
please help me......
Step-by-step explanation:
Data given
(1,3), (2, 6), (3, 12), (4, 24)
Using the range as sequence
3, 6, 12, 24
Part A
The data is displaying a geometric sequence as each term is rising twice, so the common ratio is 2
Part B
Recursive formula
t₁ = 3
tₙ = 3*2ⁿ
t₅ =3*2⁵ = 3*32 = 96 minutes
Part C
Explicit formula
t(n) = 3*2ⁿ
t(9) = 3*2⁹ = 3*512 = 1536 minutes
A warehouse received a shipment of 368 bicycles. Each bicycle is in a large box. The boxes are stored in 8 rows. How many boxes are in each row?
Answer:
46
Step-by-step explanation:
How many times does 17 go into 65 no decimals please only remainders if there is one.
Answer: 3.82
Step-by-step explanation: there is a decimal
To celebrate the first day of school, Reagan brought in a tray of caramel brownies and walnut brownies. The tray had a total of 20 brownies, of which 10% were caramel. How many caramel brownies did Reagan bring?
Answer:
18 I think
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Reagan brought 2 caramel brownies.
Solve using a proportion.
[tex]\frac{?}{20}[/tex]=[tex]\frac{10}{100}[/tex]
You're trying to find how many brownies he brought were caramel. We know Reagan brought a total of 20 brownies. Therefore since you don't know how many caramel brownies he brought, the fraction would be ?/20. Next, you know he brought brownies in which 10% were caramel. In proportions, the denominator would be 100% since that is the total percentage. Therefore, the proportion would be 10%/100%. Now we just have to cross multiply.
Proportion:
[tex]\frac{?}{20}[/tex]=[tex]\frac{10}{100}[/tex]
10 x 20 = 200
200/100= 2
Thus, Reagan brought 2 caramel brownies.
The slope of a line is 1, and the y-intercept is -1. What is the equation of the line written in slope-intercept form?
Answer:
y = x - 1
Step-by-step explanation:
Slope intercept form is y = mx + b
m is the slope and b is the y-intercept so it would be:
y = x -1 but u don't have to write 1x just x will do
Answer:
y = x - 1Step-by-step explanation:
slope intercept form
y = mx + bwhere m = 1
y-intercept = b = -1
therefore:
y = x - 1what is reminder if you devide 786 to 6?
Answer:
There is no reminder as the answer will be an integer 131.
Thank you and please rate me as brainliest as it will help me to level up
A cook has a scoop that measures ¼ cup. A bread recipe calls for 1 ¼ cups of sugar and 2 ½ cups of flour. The cook uses the scoop to measure and put both ingredients into a bowl. How many total scoops of both ingredients does the cook put into the bowl?
Given:
A cook has a scoop that measures [tex]dfrac{1}{4}[/tex] cup.
Required sugar for bread recipe = [tex]1\dfrac{1}{4}[/tex] cups
Required flour for bread recipe = [tex]2\dfrac{1}{2}[/tex] cups
To find:
The total number of scoops of both ingredients does the cook put into the bowl.
Solution:
Required amount of sugar and flour for the bread recipe is
[tex]=1\dfrac{1}{4}+2\dfrac{1}{2}[/tex]
[tex]=\dfrac{1\times 4+1}{4}+\dfrac{2\times 2+1}{2}[/tex]
[tex]=\dfrac{4+1}{4}+\dfrac{4+1}{2}[/tex]
[tex]=\dfrac{5}{4}+\dfrac{5}{2}[/tex]
Taking LCM, we get
[tex]=\dfrac{5+10}{4}[/tex]
[tex]=\dfrac{15}{4}[/tex]
Now,
[tex]\text{Number of scoops}=\dfrac{\text{Total amount of sugar and flour}}{\dfrac{1}{4}}[/tex]
[tex]\text{Number of scoops}=\dfrac{\dfrac{15}{4}}{\dfrac{1}{4}}[/tex]
[tex]\text{Number of scoops}=\dfrac{15}{4}\times \dfrac{4}{1}[/tex]
[tex]\text{Number of scoops}=15[/tex]
Therefore, the required number of scoops is 15.
simplify these like terms please 1-1-1+5x
Answer:
5x - 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Combining like termsStep-by-step explanation:
Step 1: Define expression
1 - 1 - 1 + 5x
Step 2: Simplify
Subtract: -1 + 5xRewrite: 5x - 1And we have our final answer!
Answer: -1 + 5x
Step-by-step explanation: you have to simplify hope you understand
Not an important question, but math is only something we made, we can change the rules of it and/or how to solve it. So my question is, why do we only have so few people who fully understand all of the math we know of?
Answer:
HELLO KYRAH IT'S DAISY
Step-by-step explanation:
IM IN UR CLASS
Answer:
We change the rules due to the human mind always wanting to understand though very few people acutall gets its our way of iterperting things that makke sense. The human mind will never take no as a complete answer and willlkeepwondering no matter what
Step-by-step explanation:
On neatly scaled axes, graph and then write an equation in terms of u and y for the distance Leslie travels. Let I represent time in seconds and y represent distance in meters. Then do the same for Kristin and Erie using the same set of axes.
Leslie: y= 2x
Kristin: y= 2/5x + 8
Erie: y= 5/4x + 6
For the graph, find attached below. Thanks and if you could mark me as brainliest.
Find y-intercept for 9x-5y=0.
Answer:
y=-9/5x+0 the y intercept would simply be 0
Step-by-step explanation:
Answer:
y=0
Step-by-step explanation:
9x-5y=0
9(0)-5y=0
-5y=0
-5y/-5=0/-5
y=0 (y intercept)
9x-5y=0
9x-5(0)= 0
9x=0
9x/9=0/9
x=0 (x intercept)
Hope this Helps :)
Have a good day :)
PLEASE HELP:( asapp!!!!!!!! i’ll mark brainlest
Answer:
6 * 1/9
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
6/9 = 0.66666666666666666666666666666667
6 * 1/9 = 0.66666666666666666666666666666667
The Population in Corpus Christi in 1970 was 204,525. The population in 2002 was 276,877. Create an
exponential equation and find out what the population will be in 2017?
When solving for b round it to the 4 decimals to use in the Equation. WHAT WILL BE THE POPULATION IN
2017?
Answer:
The population is 2017 is 291,254
Step-by-step explanation:
The exponential equation will be in the form
P = I( 1 + r)^t
where P is the present population
I is the population initially at 1970
r is the annual growth percentage
t is the number of years since 1970
So for 2002, we have
r in this case will be 2002-1970 = 32
277,877 = 204,525(1 + r)^32
(1 + r)^32 = 1.3586
1 + r = 1.0096
r = 1.0096-1
r = 0.0096
So the growth percentage is 0.96% annually
So the population in 2017 where t will be 2017-1970 = 37 will be
P = 204,525(1 + 0.0096)^37
P = 204,525(1.0096)^37
P = 291,254
more easy math for points
Answer:
4096
Step-by-step explanation:
Math
The north pole is in the middle of the ocean. A person at sea level at the north pole would be 3,949 miles from the center of Earth. The sea floor below the north pole is at an elevation of approximately -2.7 miles. The elevation of the south pole is about 1.7 miles. How far is a person standing on the south pole from a submarine at the sea floor below the north pole?
Answer:
I LOVE YOU
Step-by-step explanation:
find the sequence of 12, - 88, - 188, - 288 ...
Answer:
-100 each time
Step-by-step explanation: