Answer:
The nth term is given by: [tex]a_n = -9 + 3(n-1)[/tex]
The 30th term is 78.
Step-by-step explanation:
Arithmetic sequence:
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n-1)d[/tex]
In which [tex]a_1[/tex] is the first term and d is the common difference between terms.
-9, -6, - 3,0
This means that [tex]a_1 = -9, r = -6 - (-9) = -6 + 9 = 3[/tex]. So
[tex]a_n = -9 + 3(n-1)[/tex]
30th term:
[tex]a_30 = -9 + 3(30-1) = -9 + 87 = 78[/tex]
The 30th term is 78.
what is this ???????????
Answer:
The heavier an object the harder it is to move.
Step-by-step explanation:
I'm pretty sure this is it
Answer:
C. Gravity and Friction combine to make a train hard to move.
Step-by-step explanation:
This option makes the most sense based off of the text. In the text it says "Since gravity and friction make trains harder to move...." None of the other options really match the text either.
Hope it helps!
Camilla walked 456 feet in the forest. How many yards did Camilla walk?
Answer:
152 yards
Step-by-step explanation:
456 divided by 3 equals 152
Answer:
456 feet equal 152 yards
Step-by-step explanation:
which is greater 1/4 or 3/4 ?
Answer:
3/4
Step-by-step explanation:
We have two fractions, 1/4 and 3/4. Lucky they have the same denominator :
Which is the number under the line, which means their capacity is the same amount. Now we just have to see the greater numerator (the number above the line).
So since 3 is greater than 1
Therefore 3/4 is the answer
Answer:
You answer would be 3/4
Step-by-step explanation:
3/4 is larger than 1/4.
I need help plz ❤️️️
Answer:
x= 273
Step-by-step explanation:
Answer:
273
Step-by-step explanation:
3549/13=23
(Hope this helps u and u get it correct!)
-AestheticSnowy
Help me quick I need a good grade
Find the 53rd term of the arithmetic sequence -12,-1,10
Answer:560
Step-by-step explanation:
Answer: 560
Step-by-step explanation:
What is -3(2x + 1) ?
- 6x - 3
- 6x + 3
- 6x - 6
Lovely Lawns, Inc., intends to use sales of lawn fertilizer to predict lawn mower sales. The store manager estimates a probable six-week lag between fertilizer sales and mower sales. The pertinent data are:
Period Fertilizer Sales Number of Mowers Sold
1 1.6 12.0
2 1.3 10.0
3 1.8 13.0
4 2.0 15.0
5 2.2 15.0
6 1.5 11.0
7 1.6 12.0
8 1.4 10.0
9 1.8 13.0
10 1.4 10.0
11 1.9 15.0
12 1.4 11.0
13 1.7 14.0
14 1.4 13.0
a. Determine the correlation between the two variables. Does it appear that a relationship between these variables will yield reasonable predictions?Explain.
b. Obtain a linear regression line for the data.
c. Predict expected lawn mower sales for the first week in August, given fertilizer sales six weeks earlier of 2 tons.
Answer:
R = 0.8815 ;
y = 6.14679X + 2.33028 ;
14.624
Step-by-step explanation:
Using an online correlation Coefficient calculator, the correlation Coefficient, R between the number of lawn fertilizer sold and the number of lawn mowers sold is 0.8815. This R value depicts a strong positive correlation between both variables.
The regression line equation obtained by Plotting the values to generate a linear model is :
y = 6.147X + 2.330
With ;
Slope or gradient being 6.147
Intercept = 2.330
C.)
x = 2
y = 6.147X + 2.330
y = 6.147(2) + 2.330
y = 14.624
Find the product of 3/5x15
How many grams are there in 13 kilograms?
Answer:
13000grams are in 13 kilograms
A triangle with vertices at A (20, -30), B (10, -15) and C (5, -20) has been dialted with a center of dialation at the origin. The image of B, point B' has the coordinates (2, -3). What is the scale factor of the dilation?
Answer:
Scale factor: 1.8
Step-by-step explanation:
AB' = √(20-2)² + (-30 - -3)² = √1053 = 9 √13
AB = √(20-10)² + (-30 - -15)² = √325 = 5 √13
AB' / AB = 9 √13 / 5 √13 = 9/5 = 1.8
PLEASE HELP I WILL GIVE BRAINLIEST!!!!!!!!!!!
Abby was decorating her room. She arranged 56 picture tiles on a wall in the shape of a rectangle. How many rows of tiles could she have on the wall?
Answer:
14
Step-by-step explanation:
A rectangle has four sides so all you have to do is 56÷4
Answer:
14
Step-by-step explanation:
I was Slightly confused But with the given information
Divide 56 and 4...
Write 0.076943 to 3 S.f
Answer:
0.0769
Step-by-step explanation:
A teacher wants to split 5 erasers between 2 students equally.
How many erasers will each student get?
Answer:
2.5
Step-by-step explanation
2 divided by five is 2.5
Find mZB in the parallelogram.
B
С
51°
A
D
7
mZB=
Answer:
plzz show me the diagram otherwise I can't help you sorry!!!!
What is the quotient and remainder of 55 divided by 4
Answer: 13, remainder : 3
Step-by-step explanation:
The quotient and remainder of 55 divided by 4 are 13 and 3 respectively.
We have to given that,
To find the quotient and remainder of 55 divided by 4.
We can divide it,
⇒ 55 ÷ 4
4 ) 55 ( 13
- 4
-------
15
- 12
---------
3
Hence, We get;
After divide,
Quotient = 13
Remainder = 3
Therefore, the quotient and remainder of 55 divided by 4 are 13 and 3 respectively.
Learn more about the divide visit:
https://brainly.com/question/28119824
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Answer the first one plz
Answer:
65 is the answer okkkkkk
Best of luck
the rule for the distributive property is
Step-by-step explanation:
The Distributive Property is easy to remember, if you recall that "multiplication distributes over addition". Formally, they write this property as "a(b + c) = ab + ac". In numbers, this means, for example, that 2(3 + 4) = 2×3 + 2×4.
Are 5x²y and 5y^2x LIKE TERMS or NOT LIKE TERMS?
Whats 9000 times 20 to the 18th power?
Answer:
2.359296x10^27
Step-by-step explanation:
Answer:
sorry going to the 18th power is a bit too much. however 9,000 x 20 = 18,000
Step-by-step explanation:
HELP FAST PLS ILL LOVE U FOREVER <3 Angle ABC is 47 degrees. What is the the measure of angle CBD?
Answer:
43
Step-by-step explanation:
we know that ABC and CBD need to add up to 90 so we have
47+CBD=90
CBD=43
Answer:43Step-by-step explanation: if angle ABD is 90 degrees, and abc+cbd=ABD then ABD-ABC=CBD 90-47=CBD which is 43
1. Sprint PCS offers a monthly cellular phone plan for $39.99. It includes 450 anytime minutes and charges $.45 per minute for additional minutes. a. x represents __________________ (2 points) b. f(x) represents ___________________ (2 points) c. Write out your piecewise function, including the domain.
Answer:
[tex]f(x) = \left \{ {{39.99; 0 \le x \le 450} \atop {0.45x - 162.51; \ x>450}} \right.[/tex]
Step-by-step explanation:
Given
Charges: $39.99 for first 450 minutes
Charges: $0.45 for additional minutes
(a): What is x
x represents the total minutes
(b): What is f(x)
f(x) represents the total monthly cellular charges
(c): The piecewise function
For the first 450 minutes, the function is:
[tex]f(x) = 39.99;\ 0 \le x \le 450[/tex]
For additional minutes.
In (a), the total minutes is x.
So, we have:
Total Charges = Charges for first 450 minutes + Charges for additional minutes * (Minutes after 450 minutes)
[tex]Total\ Charges = 39.99 + 0.45 * (x - 450)[/tex]
[tex]f(x) = 39.99 + 0.45 * (x - 450)[/tex]
Open bracket
[tex]f(x) = 39.99 + 0.45x - 0.45 * 450[/tex]
[tex]f(x) = 39.99 + 0.45x - 202.5[/tex]
Collect Like Terms
[tex]f(x) = 0.45x+39.99 - 202.5[/tex]
[tex]f(x) = 0.45x-162.51[/tex]
The range of the above function is: x > 450.
So, the piecewise function is:
[tex]f(x) = \left \{ {{39.99; 0 \le x \le 450} \atop {0.45x - 162.51; \ x>450}} \right.[/tex]
An item has a listed price of 35$ if the sales tax rate is 3% how much is the sales tax in dollars
Answer:
$1.05
Step-by-step explanation:
3% of 35 = 0.03 × 35 = 1.05
There are 39 students in the gym, and there are an equal number of students in each class. If three classes are in the gym, how many students are in each dass?
HELP HELP HELP
5TH GRADE MATH
ILL MARK BRAINLIEST
Answer:
G
Step-by-step explanation:
Hope this helps
Was Perry’s hypothesis correct? Explain
Answer:
yes he was correct Perry's hypothesis was correct
evaluate 9.3s+8.9t when s=3 and t=4
Answer:
63.5
Step-by-step explanation:
9.3(3)+8.9(4) = 63.5
substitute the values (s and t) with the given numbers (3 and 4.)
Answer:
63.5
Step-by-step explanation:
*HELP QUICK BEST FIRST PERSON WILL BE NAMED BRANLIEST*
Each cube inside the rectangular prism has an edge length of inch. What is the volume of
the rectangular prism?
256 in.
81 in
3 in
9 in.
Answer:
Step-by-step explanation:
length = 6 x 1/3 = 2 inches
width = 4 x 1/3 = 4/3 inches
height = 8 x 1/3 = 8/3 inches
volume = lwh = 2 x 4/3 x 8/3 = 64/9 cubic inches
Another approach is the following:
There are 6 x 4 x 8 = 192 cubes inside the prism,
Each cube has a volume of 1/27 cubic inches.
Therefore total volume = 192 x 1/27 = 192/27 = 9
After a 10% decrease the cost of a new cooker is £ 198
Work out the original price of the cooker.
Answer:
£217.80
Step-by-step explanation:
198 increase 10% =
198 × (1 + 10%) = 198 × (1 + 0.1) = 217.8
A perpendicular angle has been divided into 3 smaller angles. Which equation correctly represents the sum of the perpendicular angle?
Answer:
90x3
Step-by-step explanation: