Answer:
a + 4(n-1)
Step-by-step explanation:
The first term is a+4, the second term is a+8, the third term is a+12, etc.
A common theme that we can notice is that we add 4 for each term. For example, the second term (t₂) equals t₁+4, the third term equals t₂+4 (as a+4+4 = a+8), and so on. Another way of writing this is that we multiply 4 by (term number - 1) and add that to a. We can write this as
4 * (n-1) + a
Follow the instructions to find out what number you end up with.
=========================================================
Explanation:
"Decrease the number by 4 tenths" means we're subtracting off 0.4"Increase the number by 8 thousandths" means we're adding 0.008"Increase the number by 2 tens" is the same as adding on 2*10 = 20The changes of this number are
-0.4+0.008+20The overall net change is -0.4+0.008+20 = 19.608
We'll be adding this net change to the original number
143.351 + 19.608 = 162.959
This value is exact and hasn't been rounded.
supposed f(x) = 2x+5 what is the value of -2f(x+1)? PLEASE THIS IS THE LAST QUESTION ILL GIVE A BRAINLIEST
Answer:
-4x+1-10
Step-by-step explanation:
-2(2x+5)=0
-4x-10=0
-4x+1-10=0
-4x-9=0
-4x=9
x=9/-4
x=-2,25
please inform if wrong
HELP PLS!! D:
The net of a rectangular prism is shown below. What is the total surface area of this prism?
A. 112 cm²
B. 142 cm²
C. 105 cm²
D. 71 cm²
=========================================================
Explanation:
Think of unwrapping a present and doing so without any unnecessary tearing. That means there aren't any little small pieces thrown away. There are many ways to unwrap a 3D box, and this diagram shows one of many ways. This flat layout is the 2D version of the 3D surfaces.
To find the surface area of the 3D figure, we simply need to find the area of each rectangle in this 2D flat net. Once we know all the little areas, we add them up to get the surface area.
------------------------------
The lowest rectangle is 3 cm by 5 cm, so its area is 3*5 = 15 cm^2. Let A = 15 so we can use it later.
Let's move to the middle row of four rectangles. From left to right, we have these four rectangular areas
3*7 = 21 cm^25*7 = 35 cm^23*7 = 21 cm^25*7 = 35 cm^2I'll call these results B,C,D,E in the order given above. So B = 21, C = 35, etc.
The rectangle up top has area of 3*5 = 15 cm^2. I'll let F = 15
Lastly, we'll add up the sub-areas to get the grand total
A+B+C+D+E+F = 15+21+35+21+35+15 = 142 cm^2 is the surface area
------------------------------
Another pathway to the answer:
If you can picture how this flat diagram would fold up, then you would see that we'd get a 3D block with the following dimensions
L = 7 cmW = 5 cmH = 3 cmThe order of L,W,H doesn't really matter.
Then we can use the 3D block surface area formula like so
SA = 2*(LW + LH + WH)
SA = 2*(7*5 + 7*3 + 5*3)
SA = 2*(35 + 21 + 15)
SA = 2*71
SA = 142 cm^2 is the surface area
As you can see from the third step, we have "35", "21" and "15" show up again. The 2 out front is because we have 2 copies of each item mentioned.
Ivan’s desserts made a batch of fresh scones with 4/5 of a pound of butter and 1/2 of a pound of sugar. How much more butter than sugar was used?
What is 50 divided by 8?
Answer:
6.25 or 6 2/8 or 6 R2
Step-by-step explanation:
Help please due today
Answer:
Base: 24 and height:6
Step-by-step explanation:
Answer:
Base: 24
Height: 6
Step-by-step explanation:
The question says a scale factor of 1/2 so divide by 2. It says scale back
so you know as well that your answer is going to get bigger.
Original Base = 48/2 or (48)x(1/2)
Original Height = 12/2 or (12)x(1/2)
find the value of a and b in (a,2)=(2,b)
Answer:
a=2 and b=2...............
find the value of xand y : x=2y and x+y=6
Answer:
y=2 x=4
Step-by-step explanation:
Substitute x with 2y so the second equation is 2y+y=6
Then simplify your new equation:
3y=6
y=2
If y=2 and x=2( 2) then x=4
1 year is what fraction of a decade?
Answer:
It is 1/10
Step-by-step explanation:
One decade has 10 years
[tex]{ \sf{1 \: decade = 10 \: years}} \\ { \sf{ \frac{1}{10} \: decade = 1 \: year}}[/tex]
Answer:
10% , 1/10, or 10/100
Step-by-step explanation:
There are 10 years in a decade
1/10 represents the 1 year out of the 10!
please answer this question
Answer:
3
Step-by-step explanation:
[tex]log(3x^{3}) - log(x^{2}) = log(\frac{3x^{3}}{x^{2}})\\log(27) - log(x) = log(\frac{27}{x} )\\[/tex]
therefore,
[tex]\frac{3x^{3} }{x^{2} } = \frac{27}{x} \\3x=\frac{27}{x} \\3x^{2} =27\\x= +3\\x=-3[/tex]
however, since logarithms cannot have negative arguments, x can only be +3
i.e. log(-3) is impossible, and will return MATH ERROR on a calculator.
Write the equation in the point slope form for the line that contains the points (-2,-3), (4,3)
Answer:
Answer is 4 I think!!
Which number is the largest?
Answer:
54.895
Step-by-step explanation:
hopes it's help you
(7 - 1) to the 2 power plus 2 and to the 4 power - 8
The answer is 56. work is shown below.
Step 1: apply 2nd power to everything inside parentheses
(7 - 1)² = 7² - 1²
Step 2: apply exponents (remember, exponents are a shorter way to express a number multiplied by itself a number of times).
1 x 1 = 1
7 x 7 = 49
Step 3: subtract
49 - 1 = 48
Step 4: apply exponent
2 x 2 x 2 x 2 = (2 x 2) x (2 x 2)
2 x 2 = 4
2 x 2 = 4
4 x 4 = 16
2⁴ = 16
Step 5: add
48 + 16 = 64
Step 6 (final step): subtract
64 - 8 = 56
final answer: 56
Find the equation of the line with slope m
= -1/2 that contains the point (-10, 1).
In slope intercept form
Answer:
y = - [tex]\frac{1}{2}[/tex] x - 4
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )
~~~~~~~~~~~~~~~~~
m = - [tex]\frac{1}{2}[/tex]
( - 10, 1 )
y - 1 = - [tex]\frac{1}{2}[/tex] [ x - ( - 10 )]
y - 1 = - [tex]\frac{1}{2}[/tex] x + ( - [tex]\frac{1}{2}[/tex] )(10)
y = - [tex]\frac{1}{2}[/tex] x - 4
Solve using substitution.
6x + y = 7
8x + 9y = 17
(_,_)
Please help me I really need it
What are the domain and range of the function below?
PLZ help me i hate algebra 2 and i started school last week
Answer:
According to the graph the point (0, 4) is the maximum of the function.
So the domain:
x = [0, +∞)The range:
y = (-∞, 4]One week, Rachel earned $250. She spent $120 on food, $30 on miscellaneous items, and saved the rest.
If Rachel makes a pie chart showing how she spends her money, the central angle for the food sector would be __________.
187°
173°
90°
144°
3.0040916 to the nearest hundred thousandth
Answer:
3.004
Step-by-step explanation:
If you were to round it like this: 3.0041, the thousands place would still be 4, so it would come out to be 3.004. Hope that helps!!
A display case of plastic bracelets are marked 13 for $3. If Nate has $60, how many plastic bracelets can Nate get? (assume no other taxes or fees)
Answer:
$4
Step-by-step explanation:
We can write a ratio to solve
15 stickers 30 stickers
----------------- = -------------
2 dollars x stickers
Using cross products
15x = 2*30
15x = 60
Divide by 15
15x/15 = 60/15
x = 4
The product of two whole numbers is 588 and their sum is 49. What are the two numbers?
Answer:
Here is your answer. HOPE THIS HELPS YOU! STAY BLESSED.
Answer:
28,21
Step-by-step explanation:
let the numbers be x and y
x+y=49
y=49-x
xy=588
x(49-x)=588
49x-x²=588
x²-49x+588=0
[tex]x=\frac{49 \pm \sqrt{49^2-4*1*588} }{2*1} \\=\frac{49 \pm \sqrt{2401-2352} }{2} \\=\frac{49 \pm\sqrt{49} }{2} \\=\frac{49 \pm 7}{2} \\=\frac{49+7}{2} ,\frac{49-7}{2} \\=28,21[/tex]
Show Work! There are 380 students, teachers, and chaperones going on school buses for a field trip. Each school bus can hold 68 passengers. Everyone will ride on a school bus. How many school buses does this group need?
Answer:
6 buses
Step-by-step explanation:
i believe you just have to divide 380/68
then it'll give you 5.5 and then have to round to the nearest integer
Does this picture indicate that < JAC =
Answer:
No
Step-by-step explanation:
<JAC = 93
< DBE = 90
The two angles are not equal
evaluate the expression
Step-by-step explanation:
13
[tex]3 + (20 \div 5) - ( {2}^{2}) [/tex]
[tex]3 + 4 - 4 = 3[/tex]
15
[tex] \frac{10 - {3}^{2} }{20 - (3 \times 4)} [/tex]
[tex] \frac{10 - 9}{20 - 12} [/tex]
[tex] \frac{1}{8} [/tex]
Use the number line to answer the question. Each tick represents 1 unit.
Describe the location of point K.
four more than M
three more than L
seven less than N
two less than J
Please be fast!!
Answer and Step-by-step explanation:
Essentially, you are describing the position of point K using the location of the other points on the graph.
Let's start listing some descriptions:
K is:
3 more than H
2 more than J
3 less than L
4 less than M
7 less than N
12 less than P
Now look at the answer choices and compare it to what we wrote.
We see that the answer choices A, B, and D are incorrect (based on what we wrote), and that answer choice C is correct.
[C. 7 less than N] is the correct answer.
#teamtrees #PAW (Plant And Water)
I hope this helps!
Answer: LESS THAN FOUR
Step-by-step explanation:
Jimmy's dog weighed 60 pounds 4 months ago. Since then his weight has increased by 6% How much does Jimmy's dog weigh now
Answer: 3.6
Step-by-step explanation:
Answer:
63.6 pounds
Step-by-step explanation:
Jimmy's dog's weight was 60 pounds 4 months ago and now it is weighing 6% heavier.
So 6% of 60 is
[tex]\frac{x}{60} *100=6[/tex]
x=360/100
x=3.6
So Jimmy's dog weighs 60+3.6=63.6 pounds
-3(-2w+3y-6) what’s the answer
[tex] - 3( - 2w + 3y - 6) \\ = 6w - 9y + 18[/tex]
I hope I helped you^_^
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]6w-9y+18[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Simplifying the Expression...}}\\\\-3(-2w+3y-6)\\-------------\\\rightarrow -3 * -2w = 6w\\\\\rightarrow -3 * 3y = -9y\\\\\rightarrow -3 * -6 = 18\\\\\rightarrow -3(-2w+3y-6)= \boxed{6w-9y+18}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
six quarts of paint is equally shared among 9 artists. how many quarts of paint does each artist get?
Answer:
2/3 quarts
Step-by-step explanation:
Paint used by 9 artists = 6 quarts
So, paint used by 1 artist if shared equally among the 9 artists
= 6 quarts/9
= 2/3 quarts
= 0.6666...... quarts
Rounding to the nearest hundredth, each artist would get approximately 0.67 quarts of paint.
To determine how many quarts of paint each artist gets when six quarts of paint are equally shared among nine artists, we can divide the total amount of paint by the number of artists. 6 quarts ÷ 9 artists = 0.6667 quarts per artist
To "equally share" means to divide or distribute something equally among a group of individuals or entities. It implies that each person or entity involved receives an equal portion or share of the item being distributed. This division ensures fairness and equal opportunities for everyone involved. The goal is to ensure that each recipient receives an equal amount or proportion of the item being shared.
To know more about artists , here
https://brainly.com/question/1504175
#SPJ2
whats 1+(3x3)???? HELP I WILL GIVE BRAINLIEST !!!!
Answer:
[tex]1 + (3 \times 3) = 1 + 9 = 10 \\ thank \: you[/tex]
Answer:
its 10
Step-by-step explanation:
1+(3x3)
1+(9)
10
plz give brainliest im tryna level up
I'm a little stuck on this, could I get some help? C:
How much would you need to deposit in an account each month in order to have $50,000 in the account in 10 years? Assume the account earns 5% annual interest compounded monthly.
Thank you, and I am eternally grateful.
9514 1404 393
Answer:
$321.99
Step-by-step explanation:
Use the annuity formula and solve for P.
A = P(12/r)((1 +r/12)^(12t) -1) . . . . value of a series of deposits P earning rate r compounded monthly for t years.
50,000 = P(12/0.05)((1 +0.05/12)^(12·10) -1) = P(240)(0.64700950)
P = 50,000/155.282279 = 321.99
You would need to deposit $321.99 in the account each month to have $50,000 in 10 years.
Find the area of the shaded region.
Step-by-step explanation:
find the area of the big semicircle and the small semicircle.minus the area of the small semicircle from the big semicircle.
now find the area of the other semicircle on top of the big semicircle.
add your results
area of semicircle=1/2(pir^2)
