Find the sum of the first 48 terms of the following series, to the nearest integer.
6, 9,12,...
6,9,12
Answer:
this is the answer in the image above
Answer:
3672look attachment
Please answer correctly! I will mark you Brainliest! Pictures go together!
Answer:
98
Step-by-step explanation:
i am smart
Samuel is going to a carnival that has games and rides. Each game costs $2 and each ride costs $5. Samuel spent $60 altogether on 18 games and rides. Determine the number of games Samuel played and the number of rides Samuel went on. Plz no link or another answer
Answer:
Step-by-step explanation:
10 games, 8 rides
what is it.........................
Answer:
x = 4.5
Step-by-step explanation:
Since the perimeters are equal , then the equation relating them is
2x + 3 + 2x - 3 + x = x + 3 + x + 3 + x + 3 , that is
5x = 3x + 9 ( subtract 3x from both sides )
2x = 9 ( divide both sides by 2 )
x = 4.5
A psychologist takes an SRS of 404040 people in their twenties and 606060 people in their fifties and surveys them about their anxieties. Suppose that 48\%48%48, percent of people in their twenties and 28\%28%28, percent of people in their fifties have anxiety about flying. The psychologist will then look at the difference (\text{20's}-\text{50's})(20’s−50’s)left parenthesis, start text, 20, apostrophe, s, end text, minus, start text, 50, apostrophe, s, end text, right parenthesis between the proportions of people with anxiety about flying in each sample. What will be the shape of the sampling distribution of the difference in sample proportions, and why?
Answer: Approximately normal, because we expect 19.2 successes and 20.8 failures from people in their twenties, and 16.8 and 43.2 from people in their fifties, and all of these counts are at least 10.
Step-by-step explanation:
The original value of a car is $24,000. It depreciates 15% annually. What is its value in 4 years? $
Answer:
Future Value = $ 12528.15
Step-by-step explanation:
The depreciation is applied to the car annually. The value of the car after depreciation in "n" no. of years can be given by the following formula:
[tex]Future\ Value = (Present\ Value)(1-depreciation\ rate)^n\\[/tex]
where,
Future Value = ?
Present Value = $ 24000
Depreciation Rate = 15% = 0.15
n = no. of years = 4
Therefore,
[tex]Future\ Value = (\$ 24000)(1-0.15)^4[/tex]
Future Value = $ 12528.15
Slips of paper numbered 1 to 15 are placed in a box. A slip of paper is drawn at random. What is the probability that the number picked is either a multiple of 5 or an odd number?
Given:
Slips of paper numbered 1 to 15 are placed in a box.
To find:
The probability that the number picked is either a multiple of 5 or an odd number.
Solution:
We have,
Total outcomes = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15
No. of total outcomes = 15
Multiple of 5 are 5, 10, 15.
Odd numbers are 1, 3, 5, 7, 9, 11, 13, 15.
Number that are either a multiple of 5 or an odd number are 1, 3, 5, 7, 9, 10, 11, 13, 15.
No. of favorable outcomes = 9
We know that,
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
[tex]\text{Probability}=\dfrac{9}{15}[/tex]
[tex]\text{Probability}=\dfrac{3}{5}[/tex]
[tex]\text{Probability}=0.6[/tex]
Therefore, the probability that the number picked is either a multiple of 5 or an odd number is 0.6.
What are the numbers with a sum of 9 and product of -10
Answer:
-1 , 10 and 10 , -1
Step-by-step explanation:
hello :
if x , y this numbers you have the system : x+y =9.....(*)
xy = -10.....(**)
use (*) : y = 9 - x
put this value of y in (**) : x(9-x) = -10
9x - x² = - 10
x²-9x - 10 = 0
(x+1)(x-10)=0 means : x+1 = 0 or x -10 = 0
x = - 1 or x=10
if : x= -1 y = 9-(-1)=10
if : x= 10 y = 9-(10)=1
what is the measure of <1?
Answer:
∠ 1 = 72°
Step-by-step explanation:
(4n - 2) and (2n + 17) are adjacent angles and sum to 180° , that is
4n - 2 + 2n + 17 = 180
6n + 15 = 180 ( subtract 15 from both sides )
6n = 165 ( divide both sides by 6 )
n = 27.5
Then
2n + 17 = 2(27.5) + 17 = 55 + 17 = 72
∠ 1 and 2n + 17 are vertical angles and congruent , so
∠ 1 = 72°
I need the answer for this question
Triangle ABC has AB = 10 √3cm, AC=6cm and has area 45cm^2
(i) Find the size of angle CAB.
(ii) Find the length of BC
Answer:
I) ∠CAB measures 60°.
II) BC measures approximately 15.23 cm.
*Please read notes.
Step-by-step explanation:
We are given ΔABC, where AB measures 10√3 cm, AC measures 6 cm, and the triangle has an area of 45 square cm.
And we want to find I) the measure of ∠CAB and II) the length of BC.
I) First, we should always draw a representative triangle so we can determine the sides and angles. This is shown below.
Note that ∠CAB (or simply ∠A) is the angle between the two sides. Thus, we can find the angle by using the alternative formula for the area of a triangle:
[tex]\displaystyle A=\frac{1}{2}ab\sin(C)[/tex]
Where a and b are two side lengths, and C is the angle between the two sides.
Substitute:
[tex]\displaystyle 45=\frac{1}{2}(10\sqrt{3})(6)\sin(A)[/tex]
Simplify:
[tex]\displaystyle 45=30\sqrt{3}\sin(A)[/tex]
So:
[tex]\displaystyle \sin(A)=\frac{45}{30\sqrt{3}}=\frac{3}{2\sqrt3}=\frac{\sqrt{3}}{2}[/tex]
Take the inverse sine of both sides. Use a calculator. Thus:
[tex]\displaystyle m\angle A=\sin^{-1}\left(\frac{\sqrt{3}}{2}\right)=60^\circ[/tex]
II) To find BC, we will use the Law of Cosines. We do not know whether or not ΔABC is a right triangle, so we cannot use right triangle trigonometry or special right triangles.
The law of cosines is:
[tex]\displaystyle c^2=a^2+b^2-2ab\cos(C)[/tex]
Where a and b are side lengths and C is the angle between the side lengths. c is the side length opposite to the angle.
BC is opposite to A. Substitute:
[tex](BC)^2=(10\sqrt{3})^2+(6)^2-2(10\sqrt{3})(6)\cos(60^\circ)[/tex]
Simplify:
[tex]\displaystyle BC^2=336-120\sqrt{3}\left(\frac{1}{2}\right)=336-60\sqrt{3}[/tex]
Take the square root of both sides:
[tex]\displaystyle BC=\sqrt{336-60\sqrt{3}}\approx 15.23[/tex]
BC measures about 15.23 cm.
Notes:
In this case, the inverse sine of √3/2 will yield two answers: 60° and 120°. This is an example of an ambiguous case. Both of these angles will work. However, BC will be different. If ∠A is 60°, then BC is about 15.23. However, if ∠A is 120°, then BC is about 20.97. Both will result in the triangle having an area of 45 square cm, as well as AB measuring 10√3 and AC measuring 6.
x - 3/2 = 3. Please show your work. Will mark BRAINLIEST
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{x-\dfrac{3}{2}=3}[/tex]
[tex]\large\textsf{You have to SIMPLIFY the SIDES of The given EQUATION}[/tex]
[tex]\mathsf{x + (-\dfrac{3}{2}) = 3}[/tex]
[tex]\large\textsf{ADD by } \mathsf{\dfrac{3}{2}}\large\textsf{ to BOTH of the SIDES}[/tex]
[tex]\mathsf{x + (-\dfrac{3}{2})+ \dfrac{3}2{}=3+\dfrac{3}{2}}[/tex]
[tex]\large\textsf{CANCEL out: } \mathsf{-\dfrac{3}{2}+\dfrac{3}{2}}\large\textsf{ because that gives you 0}[/tex]
[tex]\large\textsf{Keep: } \mathsf{3+ \dfrac{3}{2}}\large\textsf{ because that helps solve for your x-value }[/tex]
[tex]\large\textsf{New equation: }\mathsf{x = 3 + \dfrac{3}{2}}[/tex]
[tex]\mathsf{3+\dfrac{3}{2}}[/tex]
[tex]\large\textsf{SOLVE above and you have your ANSWER}[/tex]
[tex]\mathsf{3+\dfrac{3}{2}=\bf \dfrac{9}{2}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Therefore, your answer is: }\mathsf{\bf x = \dfrac{9}{2}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The locker combination consists of 4, single digits ranging 0-9. How many possible combinations are there?
Answer:
10000 possible combinations
Step-by-step explanation:
Number of digits = 4
Range of values of each digit = 0 - 9
Number of digits in range = 10
Hence, each digit could be = (1 - 10)
1st digit = 10
2nd digit = 10
3rd digit = 10
4th digit = 10
Total possible combination :
10 * 10 * 10 * 10 = 10000 possible combinations
Art and his friends spent $62 at the movies. Admission tickets cost $12 apiece, and a bucket of popcorn costs $7. Which equation written in standard form represents the number of tickets bought, t, and the number of buckets of popcorn bought, p?
12p + 7t = 62
7p + 12t = 62
12p = 62 – 7t
7p = 62 – 12t
Duane has 30 pairs of socks in a drawer. He has 6 matched pairs and the rest are of his
pairs of socks mismatched. He packed 1/2 of his mismatched pairs in his duffle bag for a
week at summer camp. How many pairs of socks is Dune packing for summer camp?
Answer: 12
Step-by-step explanation:
Since Duane has 30 pairs of socks in a drawer and he has 6 matched pairs and the rest are of the socks are mismatched, the number if mismatched socks will be:
= 30 - 6
= 24 mismatched socks
Since he packed 1/2 of his mismatched pairs in his duffle bag for a week at summer camp, therefore, the number of socks he packed will be:
= 1/2 × 24
= 12
Therefore, he packed 12 socks for summer camp.
“Peaches at the Farmer’s Market cost $2.70 per pound.”
is that proportional or non-proportional?
Answer:
non-proportional
Step-by-step explanation:
What is the area of a regular decagon if the length of each side is 20 units?
Answer:
Area ≈ 3077.68
Explanation:
See attached image for equation
which situation cannot be represented by the equation x + 10 = 45?
Answer:
x+10=45
x+10-45=0
x-35=0
x=35
1. Which of the following are graphs of functions? Choose all that apply.
Answer:
All except B.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
po keep on learning keep safe
The length of a swimming pool is 22 ft. The width is 40 ft. If the volume of the pool is 2,500 m3, what equation shows you how you can find the depth of the pool?
Answer:
volume= length x width x height
Step-by-step explanation:
In this instance the height will represent the depth of the pool.
To actually solve it it would look like
2500=(22)(40)(h)
2500=880(h)
2.84=h (or depth)
please help me ?.?.....................
You ask people outside a polling station who they voted for until you find someone who voted for the independent candidate in a local election. Assume that the probability of meeting someone who voted for the independent is 0.3. What is the average number of meetings before you can meet an independent voter?
Please help, I'm desperate.
m = 2(x + n) Solve for n
Answer:
Hi! The answer to your question is [tex]n=m/2-x[/tex]
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
Answer:
n= 1/2 m−x
Step-by-step explanation:
m=2(x+n)
Step 1: Flip the equation.
2n+2x=m
Step 2: Add -2x to both sides.
2n+2x+−2x=m+−2x
2n=m−2x
Step 3: Divide both sides by 2.
2n/2 = m−2x /2
n= 1/2 m−x
Hopes this helps
For the past six winters, what was the mean number of snow days per
winter at Andy's school?
4
4.5
5
O 24
Answer:A snow day occurs when school is canceled for the day because of bad winter weather. The box below shows the number of snow days at Andrew's school during each of the past six winters.
Step-by-step explanation:
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Lee buys a computer and a printer for $2,028 The printer costs 30% the price of the computer. What is the price of the computer?
Answer: $1,560
Step-by-step explanation:
Assume the computer's price is x.
This means that expressing the printer in terms of x would be:
= 30% * x
= 0.3x
These two put together represent the cost of $2,028
Expression is:
x + 0.3x = 2,028
1.3x = 2,028
x = 2,028/ 1.3
x = $1,560
Computer was $1,560
Printer was therefore:
= 1,560 * 30%
= $468
20,157.5 + 8,725.37 =
Answer:
28,882.87
Step-by-step explanation:
20,157.50
+ 8,725.37
28,882.87
Answer:
28,882.87
Step-by-step explanation:
1
20,157.5
+ 8,725.37
28,882.87
the decimal expansion of rational number 543 by 2 raised to 4 multiplyed by 5 raised to 3, will terminate after how many places of decimal.
Answer:
4Step-by-step explanation:
543 / (2⁴*5³) = 543 / (16*125) = 543 / 2000 = 0.2715This is terminated after 4 places of decimal
Answer:
Step-by-step explanation:
In the decimal expansion of a rational number, the general rule is that if the denominator is of the form 2^m*5^n, then it will terminate after n places if n>m or m places if m>n.
In this case, 4 > 3 so the expansion will terminate after 4 decimal places.
At the tasty bakery, cupcakes cost fifty cents each.Doughnuts cost a dollar twenty five.How much more do two doughnuts cost than two cupcakes?
Answer:
$1.50
Step-by-step explanation:
The computation is shown below:
Given that
The cost of each cupcakes be 0.50 cents
And, the cost of doughnuts be $25
So for two doughnuts the cost would be 2.50
And, for two cupcakes, the cost would be 0.50 × 2 = 1
So, the more amount would be
= 2.50 - 1
= $1.50
Hence, the same would be considered and relevant too
i need help no ilnks please and thank you
Answer:
yep
Step-by-step explanation:
nice