So, we must find the sum of this arithmetic sequence -1,2,5,8,11,14,17
using the arithmetic sequence formula and Sum of an Arithmetic Sequence formula such that an =
a1 + d(n-1)...........where a1 = -1 and a2 = 2.
We can use this information to find the common sum ratio 'd' such that,a2 = a1 + d(2-1)2 = -1 + d(1)...........Then add 1 to both sides to get 3
= We do not need d to find the sum but i decided to show you how to find 'd' in case you needed to find the nth term.
The Sum Formula yields,Sn = n(a1 + a7) / 2,
where n is the number if terms which is 7 in this case, right ?
Then we plug in the first and seventh terms for a1 and a7 such that=
S(7)=
(7)(-1+17) / 2 = (7)(16/2) = (7)(8) = 56
I hope this helped!
Aliyyah.
sin (9x-7) = cos (4x-10) what is x
Answer:
sin(9x-8) = cos(4x+7)
sin(9x-8) = sin(90-(4x+7))
sin(9x-8) = sin(83-4x)
9x-8 = 83 - 4x
13x= 91
x=7°
Step-by-step explanation:
tell me if im wrong
could someone help me please please I have only 2 tries please, please
and please explain
Answer:
84in²Step-by-step explanation:
If the first one is 7 inches long, and 6 inches wide, and the second one is also 7 inches long, but is 6x2 inches wide, then what's the area?
6x2=12
So, Picture Frame 2 = 12 inches wide
Formula for finding area = LxW
L = 7
W = 12
7x12=84
So hence, your answer is 84in²
The area of the second frame is 84in²
Thanks!
A rectangle has a height of 4 and a width of x^2 + 3x + 2.
Express the area of the entire rectangle.
Expression should be expanded.
x^2
3x
2
1
4
Area=?
Step-by-step explanation:
area = length × width = 4(x² + 3x + 2) =
= 4x² + 12x + 8
A pediatric client with a ventricular septal defect repair is placed on a maintenance dose of digoxin. The safe dose is 0. 03 mg/kg/day, and the client's weight is 7. 2 kg. The primary health care provider (PHCP) prescribes the digoxin to be given twice daily. How much digoxin should the nurse administer to the client at each dose?
Using proportions, it is found that the nurse should administer 0.108 mg of digoxin to the client in each dose.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, the daily amount is of 0. 03 mg/kg, hence for a person of 7.2 kg, the amount is:
T = 0.03 x 7.2 = 0.216 mg.
This daily amount is given in two equal doses, hence the amount of each dose is given by:
E = 0.216/2 = 0.108 mg.
More can be learned about proportions at https://brainly.com/question/24372153
name the angles which measures three right angles
Answer:
well its a right angle.. so there’s gonna be 3, right angles.. i’m so confusedd
Step-by-step explanation:
can anyone help me?????
Answer:
answer for a. a^2
answer for b. c
In triangle ABC, c= 8, b= 6, and C= 60°.
sin2B=
Answer:
ggabdfsa
Step-by-step explanation:
Write as an algebraic expression : Two less than the product of y and 4 "
Answer:
4y-2
Step-by-step explanation:
4. Parallelogram TIME with diagonals MT
diagonals MT and EI intersect point S. If
MS = 4x +3 and ST = 5x – 4, find the measure of MT.
Answer: 62
Step-by-step explanation:
Solve for x to the nearest tenth.
Answer: 11.4
Step-by-step explanation:
19a + 44 - 19a
Need help with this was not paying attention in class
19a + 44 - 19a
Group like terms.
[tex]19a - 19a + 44[/tex]
Add similar elements.
[tex]19a - 19a = 0[/tex]
[tex]=44[/tex]
Answer:
44
Step-by-step explanation:
Hahaha, fair enough.
This one may look more difficult than it is. In algebra, there are variables and there are constants.
A constant is a number that is constantly the same, in the example you posted, 44 is the constant.
A variable is like a place holder, it indicates that there is a number that will be substituted in, we just don't know what that number is yet. In your example, the variable is represented by the letter "a."
If youre still a little unsure what a variable is, think of it like this:
Every morning, you like to have one, single cup of coffee, but some days you feel like putting 1 spoon of sugar in, some mornings you want no sugar, and some mornings you really want something sweet and so you have 3 spoons of sugar.
In algebra, your morning cup of coffee is represented 1 + s. 1 is the number of cups of coffee you have and "s" represents how much sugar you put in it. "s" can equal 1, 3, or even 0 spoons of sugar. "s" will represent the number of spoons of sugar consistantly, BUT, keep in mind that while the value of a variable is the same within that one term or equation it can represent a different value in another term or equation.
1 + s on Monday could equal 4 because you really want some sugar at the beginning of your week so you put 3 sugars in. 1 + 3 = 4. But on Thursday, you don't want any sugar, so 1 + 0 = 1. Monday and Thursday are different terms/equations.
SO, because a variable always has the same value within a term/equation, in your example 19a + 44 - 19a, "a" will always have the same value. if a = 1 then your example is 19(1) + 44 - 19(1). If the value of "a" is 1,000,000, then your example looks like 19(1,000,000) + 44 - 19(1,000,000).
We can rewrite your question a little to make it clearer. 19a - 19a + 44, we just swapped the positions of 44 and -19a. So you can see, that no matter what value "a" represents, they will cancel each other out. leaving you with 44 as your answer.
E O
What is the common ratio between successive terms in the sequence?
2, 4, 8, -16, 32, 64, ...
O-2
06
O 6
O2
Answer:
-2
Step-by-step explanation:
-16/2= 8
8/-16=-2
not sure though
The common ratio of the geometric progression is r = 2
What is Geometric Progression?A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.
The nth term of a GP is aₙ = arⁿ⁻¹
The general form of a GP is a, ar, ar2, ar3 and so on
Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
Given data ,
Let the geometric progression be represented as A
Now , the value of A is
A = 2, 4, 8, 16, 32, 64, ...
Now , the common ratio r = second term / first term
On simplifying , we get
r = 4 / 2
r = 2
Hence , the common term of GP is r = 2
To learn more about geometric progression click :
https://brainly.com/question/1522572
#SPJ7
Help! Due soon. No links.
Answer:
24º each angle
Step-by-step explanation:
A circle = 360º
there are 15 sections
360 / 15 = 24 each angle
4. Find the perimeter.
Am I correct??
Answer:
30.84 cm
Step-by-step explanation:
Correct.
You need half the perimeter of half a circle plus the 12-cm diameter.
Remember to include the units, cm.
Answer: 30.84 cm
Graph the function.
f(x)=−15x+4
Use the Line tool and select two points to graph. look at picture and please answer with a picture
How many tiles to cover a floor measuring 24m x 20m if the measure of the tile is 12 cm x 10 cm
Answer:
4 tiles
Step-by-step explanation:
12 * 10 = 120 for each tile
24 * 20 = 480 for entire floor
480/120 = 4
4 tiles
Answer: Below
Step-by-step explanation:
This is a pretty simple problem, so hopefully you catch on to it quickly.
Since we have two measurements for two sides of a rectangle, we know they are referring to square centimeters for both the floor and the tiles. Since the units match up, we can divide.
24 * 20 = 480 cm squared
12 * 10 = 120 cm square.
480/120 = 4 tiles.
Our answer is 4 tiles.
Which best describes the range of the function f(x) = 2/3(6)^x after it has been reflected over the x-axis?
all real numbers
all real numbers less than 0
all real numbers greater than 0
all real numbers less than or equal to 0
Answer:
The answer is all real numbers less than or equal to 0
f(x)=(x-1)^2-32 in standard form
What is the median of this data set?
{11, 6, 11, 9, 7, 2,5}
Enter your answer in the box.
Answer:
7
Step-by-step explanation:
if we arrange them in order from least to greatest- 2, 5, 6, 7, 9, 11, 11 - then 7 is the number right in the middle
Answer:
The median is 7
Determine sin(S) and sin(T).
Answer:
0.38 and 2.4
Step-by-step explanation:
sin(S) = 5/13 = 0.38
sin(T) = 12/5 = 2.4
Hope this helps :)
Can someone explain this to me?
Answer:
200
Step-by-step explanation:
So its basically you multiply the length by the width which is 15 times 5 which is 75 then you multiply 75 times 4 which is 200 so the answer is 200.
Noah mows 1/2 of his property and leaves the rest wild. He decides to use 1/5 of the weld area for a vegetable garden. What fraction of the property is used for the garden ?
Solving the Question
We're given:
[tex]\dfrac{1}{2}[/tex] of the property was mowed[tex]\dfrac{1}{5}[/tex] of the unmowed property was used for a vegetable gardenWe must first find how much of the property was unmowed.
If [tex]\dfrac{1}{2}[/tex] of the property was mowed, then that leaves [tex]\dfrac{1}{2}[/tex] of the property unmowed.
⇒ [tex]1-\dfrac{1}2}=\dfrac{1}2[/tex]Now, we can find the fraction of the property used for the garden.
[tex]\dfrac{1}5}[/tex] of the [tex]\dfrac{1}2[/tex] of the property was used for the garden. To find this as a fraction, multiply [tex]\dfrac{1}5}[/tex] by [tex]\dfrac{1}2[/tex]:
[tex]\dfrac{1}5*\dfrac{1}2=\dfrac{1}{10}[/tex]
AnswerTherefore, [tex]\dfrac{1}{10}[/tex] of the property was used for the garden.
please help meeeeeeeeeeeeeeeeeeeeeeeeeee pls 6th grade math
Answer:
1. 3
2. 3
3. 44
Step-by-step explanation:
Remember, for all percetanges, we need to turn them into a decimal!!! :)
Now lets solve them!!
1.
60 x 5%
60 x 0.05
3
She burned 3 cupkakes out of 60 :)
2.
8 x 40%
8 x 0.4
3.2
Since we cant have 0.2 of a student, we will round to the nearest whole number and that is 0.
3 students turned in their biographies :)
3.
47 x 94%
47 x 0.94
44.18
Remeber, since we cant havea part of something we need to round to the nearest whole number!
44.2
Since 2 is still not bigger than 5, the correct answer will be 44 :)
44 basketball players are going to the banquet
You did it! Now you know how to solve this type of problems!!
Have a great day!!
Please rate and mark brainliest!!
Need help struggling with this question
Dany bought a total of 20 game cards some of which cost $0.25 each and some of which cost $0.15 each. If Dany spent $4.2 to buy these cards, how many cards of each type did he buy?
Answer:
He bought 12 $0.25 costing cards and 8 $0.15 costing cards.
Step-by-step explanation:
Let the number of $0.25 costing cards he bought be s,
Let the number of $0.15 costing cards he bought be t,
According to the question,
He bought a total of 20 game cards,
Thus,
s + t = 20
or, s = 20 - t ------(i)
Now,
Since, he bought s and t no of cards each and it amounted to $4.2, we know,
$0.25s + $0.15t = $4.2
or, $0.25(20 - t) + $0.15t = $4.2 [From (i)]
or, $5 - $0.25t + $0.15t = $4.2
or, $5 - $4.2 = $0.1t
or, $0.8/$0.1 = t
t = 8
From (i),
s = 20 - t = 20 - 8 = 12
Therefore, he bought 12 $0.25 costing cards and 8 $0.15 costing cards.
What is the value of tea in the following equation 1/4t =2 7/12
1/4t =2(7/12)
t=8(7/12)
t=7(2/3)
t=4.6666...
What time is it in new orleans louisiana right now.
New Orleans, Louisiana is in the Central Time Zone. Currently, March, 3rd, 2022, it is 10:25 am.
calculate 1+ 1/2+1/4÷3/2
Answer : 5/3
◊ YusuCr ◊
Answer:
1 2/3
Step-by-step explanation:
[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]
[tex]\mathrm{Multiply\:and\:divide\:(Left\:to \:right)}[/tex] [tex]\frac{1}{4}[/tex] ÷ [tex]\frac{3}{2}:\frac{1}{6}[/tex]
[tex]=1+\frac{1}{2}+\frac{1}{6}[/tex]
[tex]\mathrm{Add\:and\:Subtract\:(Left\:to \:right)}[/tex] [tex]1+\frac{1}{2}+\frac{1}{6}:\frac{5}{3}[/tex]
[tex]=\frac{5}{3}[/tex]
[tex]\mathrm{Convert\:improper\:fractions\:to\:mixed \:numbers}: \frac{5}{3}=1\frac{2}{3}[/tex]
[tex]=1\frac{2}{3}[/tex]
[tex]Answer = =1\frac{2}{3}[/tex]
[RevyBreeze]
A slug travels 3 centimeters in 3 seconds. A snail travels 6 centimeters in 6 seconds. Both travel at constant speeds. Mai says, “The snail was traveling faster because it went a greater distance.” Do you agree with Mai? Explain or show your reasoning.
Jeremiah realiza una encuesta y descubre que a medida que disminuye la primera variable de la encuesta, aumenta la segunda variable. ¿Qué tipo de asociación existe entre las dos variables?
Answer:
Que uno sube y el otro baja.