9514 1404 393
Answer:
a[n] = n^2 -3n -6
Step-by-step explanation:
First differences are ...
-8 -(-8) = 0
-6 -(-8) = 2
-2 -(-6) = 4
Second differences are ...
2 -0 = 2
4 -2 = 2
Constant second differences indicate a degree 2 (quadratic) sequence.
The general formulation can be written as ...
an = a1 +(n -1)(d1 +(n -2)/2(d2)) . . . . where a1 is the first term; d1 is the first first difference; d2 is the second difference
= -8 +(n -1)(0 +(n -2)/2(2)) = -8 +(n -1)(n -2)
an = n^2 -3n -6 . . . . . formula for the n-th term
HELP!!!!!! Due in 30 mins
Answer: Bianca is right.
Step-by-step explanation: f(x) and g(x) means the function of x(input) which is basically y(output). You know they are not the same because the 3 is separate in the first equation. You can pick any ordered pair for an input and output, I chose (4,5). You replace all x’s with 4 and y’s with 5. Solve by using order of operations and you’ll be able to back up your answer. [f(x): 5= 6 g(x): 5= 3.5]
most of the time we ____ energy but it is everywhere around us
Answer:
waste
Step-by-step explanation:
Try to think of something that doesn't involve energy and you won't get very far. Even thinking—even thinking about energy!—needs some energy to make it happen. In fact, everything that happens in the world uses energy of one kind or another. But what exactly is energy?
Energy is a bit of a mystery. Most of the time we can't see it, yet it is everywhere around us. Revving car engines burn energy, hot cups of coffee hold energy, street lights that shine at night are using energy, sleeping dogs are using energy too—absolutely everything you can think of is using energy in one way or another. Energy is a magical thing that makes other things happen. Everything in the world is either energy or matter ("stuff" around us) and even matter, when you really get down to it, is a kind of energy!
Place these numbers in order from small to big. 35% , 36/100, 4/25, 0.85, 2.6, 0.1
Answer:
0.1, 4/25, 35%, 36/100, 0.85, 2.6
Step-by-step explanation:
In which step did the veterinarian make the first error?
Step 1
Step 2
Step 3
Step 4
Answer:step 3 Step-by-step explanation: because it is right and i took the test edge 2021
Rana and Josie are cooking food for a party they need to cut up the food so people can share your she makes two small pepperoni pizzas there are four people who was share the pizza how much will each person get
Answer:
sdfshefvhwedsbdhcfbHISE
Step-by-step explanation:
FSDSd
lOOK AT THE SUN COME BACK THEN LOOK AT MY QUESTION.
the first one 4 x (7-3)
Answer:
Step-by-step explanation:
4×(7-3)
Grinnell Glacier in Glacier National Park in the US covered about 142 acres in 2007 and was shrinking at a rate of about 4.4% per year.3 (a) Write a formula for the size, , of the Grinnell Glacier, in acres, as a function of years since 2007. (b) Use the model to predict the size of the glacier in the year 2020. (c) According to the model, how many acres of ice were lost from the glacier between 2007 and 2010
Answer:
Step-by-step explanation:
Glacier National park has the area in year 2007 = 142 acres
It's shrinking at a rate = 4.4% per year
a). Since, shrink in the size of the glacier is an exponential process,
Therefore, formula for the size of the glacier in 'n' years,
A = 142(1 - 0.044)ⁿ
A = 142(0.956)ⁿ
b). Difference between year 2007 and 2020 = 13 years
By substituting n = 13 years in the formula,
A = 142(0.956)¹³
= 79.11 acres
Therefore, size of the glacier in year 2020 = 79.11 acres
c). Difference between year 2007 and 2010 = 3 years
By substituting n = 3 years in the formula,
A = 142(0.956)³
A = 124.07 acres
Loss of the ice from the glacier = 142 - 124.07
= 17.93 acres
Therefore, loss of the ice from the glacier in 3 years = 17.93 acres
Sadie goes for an afternoon walk. The graph shows her distance from home over time
Answer: The max distance is 4 miles but If you add it all together it's 8 miles in 60 mins (1 hour)
Step-by-step explanation:
Distance time graph shows that how the distance of the object changes with time. The average speed of Sadie is 8 miles per hour.
To solve this problem, we need to know about the distance-time graph.
What is distance-time graph?Distance time graph shows that how the distance of the object changes with time.
Given information-
The graph given which shows the distance of Sadie from home over time as she goes for the afternoon walk.
The table attached below shows the distance of Sadie in each 15 minutes.
The total distance covered by the Sadie is,
[tex]=2+2+4\\=8[/tex]
Thus the distance covered by the Sadie is 8 miles.
The total time taken by Sadie to cover 8 miles distance is 60 minutes or 1 hour.
As it is not clear that what has to be find out in the given problem. Let assume that the average speed of Sadie has to be find out.
Thus the average speed is the ratio of total distance traveled to the total time taken. Thus,
[tex]v=\dfrac{8}{1} \\v=8[/tex]
Thus the average speed of Sadie is 8 miles per hour.
Learn more about the distance-time graph here;
https://brainly.com/question/19730285
A rate in which the first quantity is compared to 1 unit of the second quantity
Answer:
it will compare unit to some quanlity to a different number of units of a different queality.
Step-by-step explanation:
a/b=c/d proportions are two fractions that are equal example: 1/2=2/4
Mr. Starnes and his wife have 6 grandchildren: Connor, Declan, Lucas, Piper, Sedona, and Zayne. They have 2 extra tickets to a holiday show, and will randomly select which 2 grandkids get to see the show with them. Find the probability that at least one of the girls (Piper and Sedona) get to go to the show.
Answer:
the probability that at least one of the girls (Piper and Sedona) get to go to the show is 0.533
Step-by-step explanation:
The computation of the probability that have at least one of the girl get to go is shown below;
[tex]= \frac{^2C_1 \times ^4C_1}{^6C_2} \\\\= \frac{8}{15}\\\\= 0.53333[/tex]
Hence, the probability that at least one of the girls (Piper and Sedona) get to go to the show is 0.533
So the same is relevant
Probability that at least one of the girls (Piper and Sedona) get to go to the show = 1/5
The number of grandchildren = 6
The number of girls = 2
Two grandkids out of 6 are to be selected
Number of ways of choosing 2 grandkids out of 6 is 6C2
[tex]6C2=\frac{6!}{(6-2)!2!} \\\\6C2=\frac{6!}{4! \times 2!} \\\\6C2 = 15[/tex]
Number of ways of selecting 2 grandkids out of 6 = 15 ways
Number of ways of selecting 1 out of the two girls =2C1
[tex]2C1= 2[/tex]
Number of ways of selecting 1 out of the two girls = 2 ways
Number of ways of selecting of selecting both girls =2C2
Number of ways of selecting of selecting both girls = 1 way
Probability of selecting 1 out of the two grandkids = 1/15
Probability of selecting both girls = 2/15
Probability that at least one of the girls (Piper and Sedona) get to go to the show = 1/15 + 2/15
probability that at least one of the girls (Piper and Sedona) get to go to the show = 3/15
Probability that at least one of the girls (Piper and Sedona) get to go to the show = 1/5
Learn more here: https://brainly.com/question/20709225
6 batteries cost 29 dollars what is the unit rate?
Answer:
Step-by-step explanation:
In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 km/hour
Answer:
[tex]\large \boxed{\sf{4.83 \ dollars/battery}}[/tex]
Step-by-step explanation:
Unit rate is a ratio that compares two measurements.
Denominator is 1
[tex]\displaystyle \sf \frac{29\ dollars}{6\ batteries}=4.83\ dollars/battery[/tex]
If
5
(
p
+
3
)
=
18
+
2
p
, what is the value of
p
?
Answer:
p=1
Step-by-step explanation:
The diagram shows a right-angled triangle,
Calculate the value of x.
Answer:
x = 12
Step-by-step explanation:
[tex]90 + 3x + 16 + 2x + 14 = 180 [/tex]
[tex]5x + 120 = 180[/tex]
[tex]5x = 180 - 120[/tex]
[tex]5x = 60[/tex]
[tex]x = \frac{60}{5} = 12[/tex]
Answer:
x = 12°
Step-by-step explanation:
[tex](3x + 16) + 90 + (2x + 14) = 180 \\ 3x + 2x = 180 - 16 - 90 - 14 \\ 5x = 60 \\ x = \frac{60}{5} \\ x = 12[/tex]
Which is the graph of y= -x + 2?
Answer:
Its A
Step-by-step explanation:
y intercept equal 2 so it must intersect at 2 on the y axis and it must go down because its a negative function
Pls help extra points and mark brainlist
_____indicates the level
of uncertainty that people can
tolerate to work efficiently without
experiencing undue stress
Select one:
a. Tolerance for ambiguity
b. Risk propensity
c. Workahollism
d. Authoritaritznism
= Tolerance for ambiguity
Step-by-step explanation:
indicates the level
of uncertainty that people can
tolerate to work efficiently without
experiencing undue stress
I will give brainiest to whoever answers correctly !!
Answer:
the material when you get a chance can you send me the material
helppppppppppppppppppppppppppppppppjhfyigcusfdcusVCOUVc
Answer:
use the app called msthway
Convert each of these fractions into a percent.
a. 3/20 -
b. 1/20 -
c. 12/50 =
d. 80/200 =
e. 8/25 =
f. 8/10 =
g. 16/400 =
h. 24/300 =
i. 3/5 =
j. 3/2 =
k. 45/500 =
I. 30/25 =
Answer:
15%
5%
24%
40%
32%
80%
32%
54%
60%
66%
9%
89%
Step-by-step explanation:
C - -1
D - 3/4
Can someone please help? I’ll give you brainliest.
Answer:
Step-by-step explanation:
The answer is (A)
The table shows the regular price and percent of discount for four items. Write the correct sale price for each item. Round to the nearest cent if necessary.
Answer:
Step-by-step explanation:
A. $154.20 * 0.65 = $100.23
B. $91.96 * 0.70 = $64.37
C. $47.60 * 0.75 = $35.70
D. $84.60 * 0.80 = $67.68
Kayla went shopping for a new pair of sneakers. The listed price of the pair of sneakers was $20, but the price with tax came to $21.80. Find the percent sales tax.
Hello!
[tex]\large\boxed{9 \%}[/tex]
To find the percent tax, use the equation:
[tex]\text{ \% tax} = \frac{\text{ price after - initial price}}{\text{initial price}}[/tex]
Substitute in the given values:
[tex]\text{ \% tax} = \frac{\text{ 21.80 - 20}}{\text{20}} \\\\\text{ \% tax} = \frac{1.80}{20} = 0.09[/tex]
Multiply by 100 to find the percent tax:
[tex]0.09 * 100 = 9\%[/tex]
Answer: Its 9%
Step-by-step explanation:
HHHEEEELLLLLP!!!!!!!!
Compare these rational numbers. Which of the following are true?
Hilary sells makeup, primarily lipsticks and eye shadows. She sells the lipsticks for $10 and the eye shadows for $5. At a home show, she wants to sell at least $120 of these two products, knowing she has at most 20 items in her inventory that are either lipsticks or eye shadows.
She makes $7 on every lipstick and $3 on every eye shadow she sells. Use the information below:
Let x = lipsticks
Let y = eye shadows
Then $10x + $5y > $120
and x + y < 20.
The graph of these functions is shown to the right. It is impossible to sell a negative number of makeup items, so x and y both have to be greater than zero. Therefore, the functions are confined to the first quadrant.
Profit function:
P = $7x + $3y
How many lipsticks and eye shadows should be sold to maximize the total profit?
A.
The profit is maximized when 20 lipsticks and 0 eye shadows are sold.
B.
The profit is maximized when 12 lipsticks and 0 eye shadows are sold.
C.
The profit is maximized when 16 lipsticks and 4 eye shadows are sold.
D.
The profit is maximized when 4 lipsticks and 16 eye shadows are sold.
Evaluate the following logarithm 3/4log16
Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints of each subinterval as your sample points.)
int 1 between 5 x/2+3^3*dx
Answer:
[tex]\mathbf{4 \lim \limits _{n \to \infty} \sum \limits ^n_{i=1} \Big ( \dfrac{n(n+4i)}{2n^3 +(n+4i)^3} \Big )}[/tex]
Step-by-step explanation:
Given integral:
[tex]\int ^5_1 \dfrac{x}{2+x^3} \ dx[/tex]
[tex]\mathbf{Using \ Riemann \ sums; \ we \ have: }[/tex]
[tex]\int ^b_a \ f(x) \ dx = \lim_{n \to \infty} \sum \limits ^n_{i =1} \ f( a + i \Delta x) \Delta x[/tex]
[tex]here; \ \Delta x = \dfrac{b-a}{n}[/tex]
∴
[tex]\int ^5_1 \dfrac{x}{2+x^3} \ dx = f(x) = \dfrac{x}{2+x^3}[/tex]
[tex]\implies \Delta x = \dfrac{5-1}{n} =\dfrac{4}{n}[/tex]
[tex]f(a + i \Delta x ) = f ( 1 + \dfrac{4i}{n})[/tex]
[tex]f( 1 + \dfrac{4i}{n}) = \dfrac{n^2 ( n+4i)}{2n^3 + (n + 4i)^3}[/tex]
[tex]\lim_{n \to \infty} \sum \limits ^n_{i=1} \ f(a + i \Delta x) \Delta x = \lim_{n \to \infty} \sum \limits ^n_{i=1} \Big ( \dfrac{n^2(n+4i)}{2n^3 +(n+4i)^3} \Big )\dfrac{4}{n}[/tex]
[tex]\mathbf{= 4 \lim \limits _{n \to \infty} \sum \limits ^n_{i=1} \Big ( \dfrac{n(n+4i)}{2n^3 +(n+4i)^3} \Big )}[/tex]
use a number line to show the following operations (a) -5+7-2 (b) -4×3 (c) 3.5+4.5
Hey there!
• A.
–5 + 7 – 2 = ?
–5 + 7 = 2
2 – 2 = 0
Answer: 0 ☑️
• B.
–4 * 3 = ?
“Guide”
• Negative & Negative = Positive
• Positive & Positive = Positive
• Negative & Positive = Negative
• Positive & Negative = Negative
• So, in this particular equation your answer will most likely have a NEGATIVE result because you have a NEGATIVE number & a POSITIVE number!
–4 * 3 = –12
Answer: –12 ☑️
• C.
3.5 + 4.5 = ?
5 + 5 = 10
• CARRY your 1
3 + 4 + 1 = ?
3 + 4 = 7
7 + 1 = ?
Answer: 8 ☑️
You basically had to do ORDER OF OPERATIONS / PEMDAS
(Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction)
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
3. The radius of a circle is 14 yds. What is the area? Use 3.14 as pi.
answer gets brainliest
Answer: I'm just answering so if only one person answers then u can give the other person brainliest.
Step-by-step explanation: Also if nobody is answering u might want to repost this question
Answer:
153.86 yds. sq.
Hope this helps you!
Step-by-step explanation:
Given the function g(x)=41x^3+a for some constant a, which describes the inverse function g^-1(x)
Answer:
[tex]g^{-1}(x)=\sqrt[3]{\frac{x-a}{41}}[/tex]
Step-by-step explanation:
The inverse of a function has [tex]x[/tex] and [tex]y[/tex] values switched from the original function. Therefore, simply switch [tex]x[/tex] and [tex]y[/tex] and isolate [tex]y[/tex] to get your inverse function:
Original function: [tex]g(x)=41x^3+a[/tex]
Switching [tex]x[/tex] and [tex]y[/tex], then isolating [tex]y[/tex]:
[tex]x=41y^3+a,\\x-a=41y^3,\\\frac{x-a}{41}=y^3,\\y=\sqrt[3]{\frac{x-a}{41}}[/tex].
Therefore, the inverse of the [tex]g(x)=41x^3+a[/tex] is:
[tex]\fbox{$g^{-1}(x)=\sqrt[3]{\frac{x-a}{41}}$}[/tex].
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