[tex]S_n=\frac{a_1+a_n}{2}\cdot n\\\\a_1=10, \ d=8, \ n=11\\\\a_{11}=a_1+10d=10+10\cdot8=10+80=90\\\\S_{11}=\frac{10+90}{2}\cdot11=\frac{100}{2}\cdot11=50\cdot11=\boxed{550}\\\\\text{Answer}:\text{C})[/tex]
The value of the arithmetic series is 550. The correct answer is C) 550.
To evaluate the arithmetic series, we can use the formula:
Sn = (n/2)(2a1 + (n-1)d)
Given:
a1 = 10 (first term)
d = 8 (common difference)
n = 11 (number of terms)
Plugging the values into the formula:
Sn = (11/2)(2(10) + (11-1)(8))
= (11/2)(20 + 10(8))
= (11/2)(20 + 80)
= (11/2)(100)
= 550
Therefore, the value of the arithmetic series is 550.
The correct answer is C) 550.
To know more about arithmetic, here
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#SPJ2
Find the degree measure of each angle.
EBF=
EBA=
DBE=
ABF=
ABC=
Answer:
Step-by-step explanation:
EBF = 51º
EBA = 90º
DBE = 17º
ABF = 141º
ABC = 180º
A camera has a listed price of 587.99 before tax. If the sales tax rate is 7.75%, find the total cost of the camera with sales tax included.
Answer:
Total cost = 633.559225
Step-by-step explanation:
First we can calculate the tax cost for the camera: 7.75% × 587.99 = 45.569225
That is the tax sale or cost.
Then we calculate total cost by adding the listed price with the tax cost:
587.99 + 45.569225 = 633.559225
Just remember these simple equation:
Step 1: Tax Cost = Tax Percentage × Listed Price
Step 2: Total cost = Tax Cost + Listed Price (original price)
Hope this helps. :)
What is 11/7 simplified
Answer:
1.571429
Step-by-step explanation:
1.571429
this is the ans ig
2. Given that tan 25º = a, express each of the following in terms of a.
tan 205
sin 25°
cos 65
cos 245
9514 1404 393
Answer:
tan(205°) = asin(25°) = (a√(a²+1))/(a²+1)cos(65°) = (a√(a²+1))/(a²+1)cos(245°) = -(a√(a²+1))/(a²+1)Step-by-step explanation:
The tangent function is periodic with a period of 180°. So ...
tan(205°) = tan(25°) = a
__
The identity relating sine and tangent is ...
sin(x) = tan(x)/√(tan²(x)+1)
Rationalizing the denominator gives ...
sin(x) = tan(x)√(tan²(x)+1)/(tan²(x)+1)
sin(25°) = a√(a²+1)/(a²+1)
__
cos(65°) = sin(25°) = a√(a²+1)/(a²+1)
__
cos(245°) = -sin(25°) = -a√(a²+1)/(a²+1)
Is 15/0 just 15?
Thank you!
Answer: 15/0 = 15/0 = 15/0 = 15/0 = 0+15
Step-by-step explanation: 15/0 = 15/0 = 15/0 = 15/0 = 0+15
Round 12.463 to one decimal place. Round $12.463 to two decimal places.
[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]
ur answer is-
$12.500Thanks Hope it helps :).Write a numerical expression for each verbal phrase
The diagram represents the fencing around a backyard. The fence is formed with parallel lines and a half circle. Write and solve an equation to determine how many feet of fencing are needed. Round the answer to the nearest tenth.
The amount of fence needed is the perimeter of the fence. The amount of fence needed is 127.1ft
From the diagram of the fence, we have:
[tex]r = 15[/tex] ---- the radius
[tex]l = 40ft[/tex] -- the length of the parallel lines
First, we calculate the length of the arc surrounding the half circle
This is calculated using:
[tex]L = \frac{\theta}{360} \times 2\pi r[/tex]
Because it is a half circle
[tex]\theta = 180[/tex]
So, we have:
[tex]L = \frac{\180}{360} \times 2 \times 3.142 \times 15[/tex]
[tex]L =0.5 \times 2 \times 3.142 \times 15[/tex]
[tex]L =47.13[/tex]
The amount of fence needed is the sum of the length of parallel lines and the semicircle.
So, we have:
[tex]Amount = L + l + l[/tex]
[tex]Amount =47.13 + 40 + 40[/tex]
[tex]Amount =127.13[/tex]
Approximate
[tex]Amount =127.1[/tex]
Hence, the amount of fence needed is 127.1ft
Read more about perimeters at:
https://brainly.com/question/21149101
if (a^-1+b^-1)(a+b)^-1=a^mb^n.prove that a^(m-n)=1.
Answer:
46666
Step-by-step explanation:
Please help me someone my work is due in pretty soon somebody please help me
Somebody please answer
1 and 2 fully for me I will mark you as brainlest
Answer:
take a better pic, i cant read that. but i can help if u insert a new pic
Step-by-step explanation:
Help me pleaseeeesndjkdnskxndkdjd
Step-by-step explanation:
[tex]8x - 3 = 5 + 4y[/tex]
Isolate y first subtract 5 from both sides
[tex]8x - 8 = 4y[/tex]
Divide both sides by 4.
[tex] \frac{8x - 8}{4} = y[/tex]
[tex]2x - 2 = y[/tex]
y= 1
Step-by-step explanation:
Solve for y:
8x - 3 = 5 + 4y
8x = 4y + 5+3
Divide both sides by 8
x = 1÷2y + 1
plug into equation
8 (1÷2y +1) - 3 = 5 + 4y
Distribute
8÷2+ 8 - 3 = 5 + 4y
4 + 5 -5 = 4y
Combine like item
4 = 4y
divide both sides by 4
y= 1
Determine whether the equation is linear or not. Then graph the equation by finding and plotting ordered-pair
solutions.
y-x=4
EEEEE
Is the equation y-x= 4 linear or not?
not linear
linear
(Answer quickly)
Answer:
Linear
Step-by-step explanation:
y-x=4
y=x+4
How do you get 2.5 out of 20/8
9514 1404 393
Explanation:
If you can't operate a calculator, perhaps you can do long division. The attachment shows the work for that.
__
[tex]\dfrac{20}{8}=\dfrac{5\cdot4}{2\cdot4}=\dfrac{5}{2}\\\\=\dfrac{5\cdot5}{2\cdot5}=\dfrac{25}{10}=2.5[/tex]
We assume that you know dividing by 10 moves the decimal point one place left.
(5.01 x 10^5) / (7.8 x 10^2)
Answer:
numerator; 5.01×(10^5)= 5.01×100000
denomenator ; 7.8×(10^2)= 7.8×100
therefore : 501000/780
= 642.3077 answer
HELP PLEASE 25 POINTS
[tex]\\ \tt\longmapsto 880cm{\boxed{<}}9m[/tex]
5020mg=5.02g[tex]\\ \tt\longmapsto 5020mg{\boxed{>}}5g[/tex]
1500HL=1.5L[tex]\\ \tt\longmapsto 1500HL\boxed{=}1.5L[/tex]
Round to the nearest tens: 997.9
Help?
Answer:
Step-by-step explanation:
1000
Select three involuntary muscles:
stomach
intestinal
heart
biceps
brain
I'll give Brainliest! :D
Answers:
A) stomachB) intestinalC) heart=============================================
Explanation:
The stomach muscle helps digest food. The muscle isn't something a person can control at will. Instead, the body handles it automatically. This is why choice A is one of the answers.
The intestinal muscles work in a similar fashion to help pass nutrients into the blood stream and also pass waste out of the body. All of these processes are done automatically and you don't have to think about them. They just happen. Therefore, choice B is another answer.
Another example of an automatic or involuntary muscle doing its own thing is the heart muscle. It continuously pumps blood to help distribute nutrients and oxygen, and also dump waste byproducts (eg: carbon dioxide) out of the body. So choice C is the third and final answer.
An example of a muscle that's voluntary are the biceps. You can flex these muscles, and move them around at will. For example, when you pick up an item. So this allows us to rule out choice D.
I'm not sure why your teacher listed "brain". It has properties related to muscles such as the idea of practicing a topic to help retain it (similar to exercising to stay in shape); however, the brain itself isn't a muscle on a technical biological level.
--------------------
Extra info:
Some more involuntary muscles are:
The diaphragm muscle to help the lungs expand and contract (to breathe in oxygen or exhale carbon dioxide).The muscles that allow your eyes to blink. The technical name for them isn't coming to mind at the moment. These muscles blink at some fairly random yet consistent rate, and also blink whenever something like dust particles enter the eye (or threaten to).At some level, you could argue that the biceps are involuntary in some way. What I mean by this is that there's a reflex action to them that is automatically controlled. However, for the most part, the biceps are voluntary muscles.draw 1 1/6 as a model
How do you write the sum of a number and 5 divided by 20 is 5 as an equation?
The photo shows a small coin. The scale from the actual coin to the photo is 8mm to 2cm. In the photo, the distance across the coin is 3.25cm. What is the distance across the actual coin?
Answer: 81.25mm or 8.125cm
Step-by-step explanation:
Numerator is actual size, denominator is the size in picture
please help me, if you help then thanks!
The formula for volume always involves three dimensions.
In this case, the volume of a cube is [tex]V=s^3[/tex], where [tex]s[/tex] is the side length of the cube.
To solve for that side length, you'd need to use a cube root.
I will mark brainliest whoever answers first
Answer:
F is the answer pls mark me branilest
mark is going to work for his father’s pool cleaning business during the summer. mark’s father will pay him $5 each pool he helps clean. write an algebraic expression to determine how much mark will earn if he cleans n pools. then evaluate the expression for 15, 25, 35, or 45 pools
Answer:
Algebraic Expression: 5n
a. 5(15) = 75$
b. 5(25) = 125$
c. 5(35) = 175$
d. 5(45) = 225$
Step-by-step explanation:
If n represents the amount of pools Mark has cleaned, and he earns $5 for each pool, then 5n will be the algebraic expression. As n represents the number of pools he has cleaned, we need to plug in the given numbers to get the answer, hence [5(15), 5(25), 5(35), 5(45)]. Multiply $5 by the given numbers to get the amount of money Mark would earn if he cleaned the amount of pools.
Sandy is baking a cake. The recipe calls for 9 cups of flour. She already put in 4 cups. How many more cups does she need to add
Answer:
5
Step-by-step explanation:
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You have a choice between going to an in-state college where you would pay $7000 per year for tuition and an out-of-state college where the tuition is $10,500 per year. The cost of living is much higher at the in-state college
where you can expect to pay $1000 per month in rent compared to $750 per month at the other college Assuming all other factors are equal, which is the less expensive choice on an annual (12 month) basis?
Answer:
The out-of-state college
A square plot of land has side lengths of 40 meters. An archeologist divides the land into 64 equal parts What is the area of
each part?
Find the area of the plot of land:
40 x 40 = 1600 square meters.
Now divide total area by parts:
1600 / 64 = 25 square meters.
Answer: 25 square meters
Step-by-step explanation:
Area of each part = Area of plot/Total parts
Area = 40 × 40/64
Area = 10 × 40/16
Area = 10 × 10/4
Area = 100/4
Area = 25 m²
determine the second derivative evaluated at t=0
If
[tex]M(t) = e^{3(e^t-1)}[/tex]
then using the chain rule, we have
[tex]M'(t) = e^{3(e^t-1)} \times 3e^t = 3e^{3(e^t-1)+t}[/tex]
[tex]M''(t) = 3e^{3(e^t-1)+t} \times (3e^t+1)[/tex]
Then
[tex]M''(0) = 3e^{3(e^0-1)+0} \times (3e^0+1) = 3e^0 \times (3+1) = \boxed{12}[/tex]
Write an equation in slope-intercept form for the line described. x-intercept (-8,0), y-intercept (0,5) The equation of the line is y nothing.
Answer:
y= 5/8 x +5
8y=5x +40
Step-by-step explanation:
x-intercept is (-8,0)
y-intercept is (0,5)
the slop of line: m= Δy/Δx = (0-5) / (-8-0) = 5/8
y=mx+b
y= 5/8 x +5
8y=5x +40
A 12 oz can of soda costs $0.72. A 20 oz bottle of the same soda costs $1.40. Which is the better deal?
An office needs 9,344 sticky labels. If there are 32 labels in each package, how many
packages should the office buy?
Answer:
just divide 9,344 by 32=292
