Answer:
-320
Step-by-step explanation:
You would first create an explicit formula for the provided sequence.
The basic explicit formula for arithmetic sequences is , [tex]a_{n} = d(n-1) + a_{1}[/tex]where an is the number of the term, d is the number you are adding or subtracting by, n the location of the term, and a1 is the first number.
We would then substitute the values given.
We are trying to solve the value of the 54th term. This makes n = 54. The first number of the sequence is -2, so a1 is -2. Finally, d is -6 because we are subtracting 6 to each number in the sequence.
Therefore, our resulting equation would be[tex]a_{n} =-6(54-1)-2[/tex] , which equals -320.
Answer:
-320.
Step-by-step explanation:
n54 = a1 + d(54 - 1)
Here a1 = -2 and d = -8 - (-2) = -6.
So 54th term = -2 + -6*53
= -320.
Consider f(x)=2|x|
What is the rate of change over the interval 0≤x≤4?
How is the rate of change over this interval related to the form of the function?
Answer:
Please check the explanation.
Step-by-step explanation:
As we know that the average rate of change of f(x) in the closed
interval [a, b] is
[tex]\frac{f\left(b\right)-f\left(a\right)}{b-a}[/tex]
Given the interval [a, b] = [0, 4]
as
[tex]f(x)=2|x|[/tex]
[tex]f(b)=f(2)=2\cdot \:4[/tex] ∵ [tex]\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0[/tex]
[tex]= 8[/tex]
[tex]f(x)=2|x|[/tex]
[tex]f(a)=f(0)=2\cdot \:0[/tex] ∵ [tex]\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0[/tex]
[tex]= 0[/tex]
so the average rate of change :
[tex]\frac{f\left(b\right)-f\left(a\right)}{b-a}=\frac{8-0}{4-0}[/tex]
[tex]=\frac{8}{4}[/tex]
[tex]= 2[/tex]
We know that a rate of change basically indicates how an output quantity changes relative to the change in the input quantity. Here, it is clear the value of y increase with the increase of input.
Question 1 of 5 Convert 48 inches to feet. There are 12 inches in a foot. O A. 480 feet O B. 576 feet O C. 4 feet O D. 8 feet
Answer:
C
Step-by-step explanation:
If you divide 48 by 12 you will get 4 and 4 is your answer
Sara has $75 to spend on clothes. She wants to buy a pair of jeans that cost $27 and spend
the rest on t-shirts. Each t-shirt costs $8. How many t-shirts can Sara afford to buy?
Use inverse operations to solve: x + 3.2 = 7
Answer:
x=3.8
Step-by-step explanation:
You would use the inverse operation by subtracting 3.2 from both sides of the equation, leaving you with x=3.8
Simplify the given expression below: (2 points) 2 divided by the quantity of 2 plus 5i
Answer: The given expression "2 divided by the quantity of 2 plus 5i" can be translated as 2/(2+5i). Simplifying expressions aim is to simplify it into its simplest form. Since i = √-1 substitute it into the expression.
2/(2+5√-1)
then multiply it by 2-5√-1 on the numerator and denominator and we have
[2(2 - 5√-1)] / [4 - 25(1)]
(4-10√-1)/(-21)
Answer:7
Step-by-step explanation:
the square root of 90 is it closer to 9 or 10
Answer:
9
Step-by-step explanation:
9² = 81
10² = 100
81 ... 90 ... 100
90 - 81 = 9
100 - 90 = 10
9 is less than 10
Hence, √90 is closer to 9
-x + y = 2
3х – 5у = -4
solve the system of linear equation by substitution
If z = 13 - 71, what is the value of z?
BE
O 6
O 2/30
218
O 20
Answer:
z=-58 bc 13-71= -58
Step-by-step explanation:
Complete the statement, then write the postulate you used.
Please help! I’ll give brainliest!
What does m represent in the equation y= mx + b?
none of these
the slope of the graph of
y = mx + b
the y-intercept of the
graph of y = mx + b
the run in the ratio
rise
run
[tex]y=mx+b[/tex]
where m is slope
and b is y-intercept
HELP I DONT UNDERSTAND. I WILL GIVE BRAINLIEST (foolish answers will be reported)
Answer:
A
Step-by-step explanation:
You start at (-3, 0). You move right 3 units and down 5 units. Where do you end?
Answer:
(0,-5)
Step-by-step explanation:
In order to measure the height of a statue, Jill holds a square up to her eye and lines up each side with the top and bottom of the statue. If her eye is 5’2” above the ground and she stands 10 feet away from the statue, how tall is the statue?
GOOD LUCK! NYAYAYAYAYA
i need helpp please help me.
Answer:
B and C
Step-by-step explanation:
Option B and Option C
Expand it and you'll get 12 + 12 * 0.25 and the question says she ran 0.25 of the distance she ran before.
Hence, Option B and Option C would be correct
This week, 957 people went to the beach. Last week, 1,207 people went to the beach. The number of people who went to the beach fell by what percent? Use pencil and paper. Explain how you know whether the answer is greater than or less than 25%
Answer:
Less than 25%
Step-by-step explanation:
1. Find the difference of the two numbers: 1,207 - 957 = 250
decrease = original number - new number
2. Then, divide the decrease by the original number
250/1,207 = 0.207
3. Multiply the answer by 100 to get the percentage
0.207 x 100 = 20.7%
Therefore, the number of people fell by 20.7%
Hence, the answer is less than 25%
Step-by-step explanation:
*10 points* ANSWER ASAP WILL MARK AS BRAINLIEST!!
Do you have to regroup to find each sum?
Choose Yes or No.
38 + 12
29 + 15
28 + 7
27 + 12
Answer:
1) yes
2)yes
3) yes
4) no
Step-by-step explanation:
Yosef typed a 54 word paragraph in 2/3 minute. What is his typing speed in word per minute
PLZZZZ HELPPPP THIS IS A TIMED TESTTT!!
DEFG has been dilated to D’E’F’G’. Use a pair of corresponding sides to determine the scale factor.
Answer:
2/3
Step-by-step explanation:
DEFG ~ D'E'F'G'
[tex]\frac{D'G'}{DG}[/tex] = [tex]\frac{2}{3}[/tex]
Find three consecutive integers where the sum of the first and the twice second is 5.
Answer:
1,2, and 3
Step-by-step explanation:
1+ (2*2) is equal to 5, so it has to be 1 and 2, and you can figure out that 3 goes after that.
Which figure shows a single ray
there are no figures shown.
PLS HELP ITS DUE IN AN HOUR!
WILL GIVE BRAINLIEST!
Answer:
Step-by-step explanation:
Unfortunately other people have promised to give Brainliest before and they never did. However, I'll answer the third question and tell you that it's 8 sides.
HELP ASAPPP!!! !!!! PLEASE
Answer:
B.
Step-by-step explanation:
for decimals, you start with tenths, so it would be thousandths
can i have some help
Answer:
b. m = 2, b = 4
Step-by-step explanation:
y = mx + b
m = slope and b = y-intercept
The slope is 2 cause it's going up 2 squares while only going to the right one square each time, so u could right 2/1 but it's not necessary so just 2. And the intercept is 4 because that's where the line intercepts the y-axis.
What's 3% as a decimal?
Answer:
0.03
Step-by-step explanation:
3% is 3100 . so all you have to do is calculating 3100 ; which is 0.03 (skipping 2 decimal places from the number 3 to the left).
Answer:
0.03
Step-by-step explanation:
mulitply 3 x 100
URGENT AND 2 QUICK SIMPLE QUESTION
Answer:
D, B
Step-by-step explanation:
You can plug all the numbers in a calculator!! The larger the negative number, the more to the left it goes, while the larger the positive number, the more to the right it goes!
Please help me with this question please
Answer:
A
Step-by-step explanation:
One cylinder has a volume that is 8 Centimeters cubed less than StartFraction 7 over 8 EndFraction of the volume of a second cylinder. If the first cylinder’s volume is 216 Centimeters cubed, what is the correct equation and value of x, the volume of the second cylinder?
StartFraction 7 over 8 EndFraction x + 8 = 216; x = 182 centimeters cubed
StartFraction 7 over 8 EndFraction x minus 8 = 216; x = 196 centimeters cubed
StartFraction 7 over 8 EndFraction x + 8 = 216; x = 238 centimeters cubed
StartFraction 7 over 8 EndFraction x minus 8 = 216; x = 256 centimeters cubed
Answer:
D. StartFraction 7 over 8 EndFraction x minus 8 = 216; x = 256 centimeters cubedStep-by-step explanation:
Equation for the volume and solution:
7/8x - 8 = 216 7/8x = 216 + 87/8x = 224x = 224*8/7x = 256 cm³Correct option is D.
Answer:
D. StartFraction 7 over 8 EndFraction x minus 8 = 216; x = 256 centimeters cubed
6x + 21y = 103
-6x + 23y = 51
Help please!! If you can't see the photo well just let me know <3
Answer: The second one and fourth one.
Step-by-step explanation: did this already and got it right :)
Plsss help mee :,) ill give brainlist
Answer:
3/5, 1, 8/5, 8
Step-by-step explanation:
Answer:
0, 35, 8/5, 8. I think
Step-by-step explanation:
hope this helps :3
im sorry if im wrong