Step-by-step explanation:
8x^2 + 6x + 4 - 8x^2 - 10x + 6
-4x + 10
What is the summation notation for the geometric series 1/2+2 + 8 +32+128
Answer:
D
Step-by-step explanation:
Edge
The summation of the given geometric series is 70.5.
What is geometric series ?
Geometric series is the sum of an infinite number of terms that have a constant ratio between the successive terms.
Formula for the sum of the nth term of a geometric series[tex]s_{n}= a\frac{(r^{n} -1)}{(r-1)}[/tex] (when r>1)
or
[tex]S_{n} =\frac{a(r^{n}-1) }{1-r}[/tex] (when r<1)
where,
r is the common ratio
a is the first term of first term of the series.
n is the total number of terms.
According to the given question
we have
geometric series [tex]\frac{1}{2} +2+8+32+128[/tex]
total number of terms, n=5
first term a =[tex]\frac{1}{2}[/tex]
[tex]r=\frac{2}{\frac{1}{2} }=4[/tex]
therefore,
summation of the given geometric series calculated as
[tex]s_{n} =\frac{1}{2} \frac{4^{5}-1 }{4-1}[/tex]
[tex]s_{n} =\frac{1023}{6}[/tex]
[tex]s_{n} = 170.5[/tex]
Hence, the summation of the geometric series is 170.5.
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HELP ASAP I WILL GIVE BRAINLEST Question 1(Multiple Choice Worth 4 points)
(03.02 LC)
Select the best estimate of the product of 18 x 31 = ____
500
600
700
800
Answer:
500 is ya best bet
Step-by-step explanation:
Hi,
Using multiplication, 18x31=600.
Hope it helps you
PROMISE TO GIVE BRAINIEST BUT ONLY IF YOU GET IT RIGHT!
Answer:
5.2
Step-by-step explanation:
Formula for any right triangle is a^2 + b^2 = c^2
So plug in the values and you get:
a^2 + 3^2 = 6^2
convert the squared numbers and you get:
a^2 + 9 = 36
subtract 9 from both sides
9 = 36
-9 = -9
you get:
a^2 = 27
we can't have a squared number as our answer, so we find the square root of both.
[tex]\sqrt{a^2 = 27}[/tex]
a^2 cancels out and you get:
a = 5.2 (simplified and rounded to nearest tenth)
Answer:
3√3
Step by step explanation:
36^2- 3^2= 27
√27= 3√3
3√3 = 5.2
To which rational number subset(s) do the following numbers belong?
1, 4, 7, 11, 14
A.
whole numbers and integers only
B.
whole numbers and natural numbers only
C.
natural numbers and integers only
D.
natural numbers, whole numbers, and integers
None of the numbers are fractions or decimals.
The answer would be
D. natural numbers, whole numbers, and integers
Plz help out with #5
Answer:
A
Step-by-step explanation:
-10-3= -13 which is the same as -10+ -3 which also equals -13
Answer: The answer is a
Find the value of x
Answer:
[tex]x=26[/tex]
Step-by-step explanation:
[tex]x^2=13(13+39)\\[/tex][tex]x^2=13(52)[/tex][tex]x^2=676[/tex][tex]x=26[/tex]✧༝┉┉┉˚*❋ ❋ ❋*˚┉┉┉༝✧
hope it helps...
have a great day!!
Hello please help!
Which expressions (answer choices below) can be represented by the decimal grids below? Choose all the correct answer choices below.
0.6×4
2.4÷0.06
0.4×6
2.4÷4
2.4÷0.6
Answer:
0.6*4, and 0.4*6 yes
I think C and G yes and a e i no.
I am not sure. Tell me if I am wrong.
Step-by-step explanation:
Have a nice day!
If, f(x) = x^2 + 3x -2, then f(a + 1) =
I hate homework
Answer:
Step-by-step explanation:
nncdsncnklnklnckas
In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. Of a = 7 miles and b = 3 miles, what is the perimeter? If necessary, round to the nearest tenth.
Answer:
17.6 miles.
Step-by-step explanation:
Use Pythagoreans Theorem to find c.
a^2+b^2=c^2
49 + 9 = c^2
58 =c^2
√58=c
7.6=c
Now add all of your sides together to find the perimeter.
7 + 3 + 7.6 = 17.6 miles.
The perimeter of the triangle is 17.6 units.
What is the Pythagorean theorem?The Pythagorean theorem says that the sum of the square of the perpendicular and the base will be equal to the square of the hypotenuse of the right-angle triangle.
Using the Pythagorean theorem, we can find the length of the hypotenuse c:
c² = a² + b²
c² = 7² + 3²
c² = 58
c = √58 ≈ 7.6 miles
The perimeter is the sum of the three sides:
Perimeter = a + b + c
Perimeter = 7 + 3 + 7.6
Perimeter ≈ 17.6 miles
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solve for x
7.8
6.6
3.6
3
Answer:
6.6
Step-by-step explanation:
brainliest
its me from the last question
What is the fractional form of 0.02?
А. 2/99
B. 1/11
C. 2/100
D.1/12
Please help! Struggling with this a bit
Answer:
Rate of change= 9 Starting amount= 65
The equation would be y= 9x + 65
After 9 months, he would have 146 vreels
For the graph, put the points (0, 65) (2, 83) and (4, 101)
a boy kicks a 0.445kg soccer ball with the force of 75 newtons what is the acceleration of the soccer ball
Answer:
168.5 m/s^2
Step-by-step explanation:
1 - cos^2 0= sin^2 0
Answer:
Step-by-step explanation:
it is true because it is derived from the formula:sin^2 theta+cos^2 theta=1
Jessica made 6 19/20 cups of punch. Her punch had two different types of juices in it. If the lunch had 4 1/5 cups of one type of juice, how many cups of the other type of juice did it have?
Answer:
2 3/4 cups
Step-by-step explanation:
Jessica made 6 19/20 cups of punch. Her punch had two different types of juices in it. If the lunch had 4 1/5 cups of one type of juice, how many cups of the other type of juice did it have?
We solve this question using the Subtraction operation
Total cups = cups of first type of juice + cup of other type of juice
6 19/20 = 4 1/5 cups + x
x = 6 19/20 - 4 1/5 cups
Lowest Common Denominator = 20
x = 6 - 4 + (19/20 - 1/5)
x = 2 + (19 - 4/20)
x = 2 15/20 cups
x = 2 3/4 cups
Other type of juice had 2 3/4 cups of juice
Calculate the M.A.D. of the data 38, 66, 88, 90,
Answer:
18.5
Step-by-step explanation:
Population size:4
Mean (μ): 70.5
Mean Absolute Deviation (MAD): 18.5
What value from the set {4, 5, 6, 7, 8} makes the equation 4x + 3 = 23 true? Show your work
Answer:
Um?
Step-by-step explanation:
The point (3, -1) is on the line given by which equation below?
A. y = -3x
B. y = x - 4
C. y = x + 4
D. y = 3x
Answer:
Just grabbin points
Step-by-step explanation:
Answer:
B. y = x - 4
Step-by-step explanation:
(x, y) = (3, -1)
y = x - 4
y = 3 - 4
y = -1
#CMIIWWhy can't 6cm 5cm 8cm make a triangle
Answer:
They can, the lines just need to be sloped
At a coffee shop, the first 100 customers'
orders were as follows.
Small
Medium
Large
Hot
5
48
22
Cold
8
12
5
What is the probability that a customer ordered
a medium given that he or she ordered a cold drink
Answer:
12%
Step-by-step explanation:
P(cold, med) = 25/100 x 12/25 = 12/100 or 12%
The probability that a customer ordered a small given that he or she ordered a cold drink is, 32%
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Since, The probability is represented as:
P(Small | Cold)
This is calculated using:
P(Small | Cold) = n(Small and Cold)/n(Cold)
Using the data on the given table, we have:
P(Small | Cold) = 8/(8 + 12 + 5)
Evaluate
P(Small | Cold) = 0.32
Express as percentage
P(Small | Cold) = 32%
Hence, the probability that a customer ordered a small given that he or she ordered a cold drink is 32%
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REALLY NEED HELP WITH THIS!! OFFERING BRAINLIEST! ANY ABSURD ANSWERS WILL BE REPORTED!!
Answer:
what is the question tho you didn't post it
have a good day :)
Step-by-step explanation:
3(−4)=12x What is the value of ?
Answer:
x = -1
Step-by-step explanation:
When given the following equation:
3(-4) = 12x
Simplify the left, side to perform the given operations. Remember, when there are parentheses but no operations between the two parentheses, then the operation is mutliplciation.
-12 = 12x
Inverse operations, divide both sides by (12) to undo the operation on the left side,
-1 = x
Answer:
as there is a braket add the distributive law soo it will be -12=12x and rhen u will move the the 12 from x to the other side of the equation u dived it with -12 so u
Step-by-step explanation:
the answer -1=x
Please help !!!! Need before the next 20 min!!!
Answer:
everything is in the picture
An ice cream Store with 12 different flavors sells 1 and 2 scoop ice cream cones. A boy sitting outside the store Counted 11 people with ice cream cones and a total of 15 scoops of ice cream how many one Scoop cones were sold
Answer:
7 cones of 1 scoop ice cream were sold.
Step-by-step explanation:
A total of 15 scoops were sold .
Let x be the number of 2 scoop ice cream and y be the number of 1 scoop ice cream
Then
15= 2x+ y---- eq. 1
There were 11 cones sold.
and x+ y = 11--- eq.2
11-x= y
15= 2x+ y
Putting value of y from eq.2 in eq. 1
15= 2x + 11-x
15= x+11
15- 11= x
x= 4
There will be 2*4=8 scoops for 4 cones
ie 4 cones of two scoops ice creams will be sold.
11- 4= 7 cones
and 7 scoops for 7 cones
give the dregree for the polynomial
Answer:
In the case of a polynomial with more than one variable, the degree is found by looking at each monomial within the polynomial, adding together all the exponents within a monomial, and choosing the largest sum of exponents.
Step-by-step explanation:
That sum is the degree of the polynomial.
james ran 1 mile in 8 minutes in the morning and 3.5 miles in 28 minutes in the evening
cool, what's the question?
The base diameter and the height of a cone are both equal to x units.
Which expression represents the volume of the cone, in cubic units?
[pi]x2
2[pi]x3
1/3[pi]x2
1/12[pi]x3
Answer:
π x³ /12 cubic units.
hope this helps you and have a nice day
Equations on both sides
3x + 5 = 2x -17
Solve it and show the work because i need to show the work
Answer:
x = -22
Step-by-step explanation:
Subtract 5 from both sides
3x + 5 (-5) = 2x - 17 (-5)
3x = 2x - 17
Subtract 2x from both sides
3x (-2x) = 2x (-2) -22
x = -22
At the aquarium, posters of sharks cost $2 and posters of jellyfish cost $6. Mr. Benson spent $64 to buy 12 posters. How many of each type of poster did Mr. Benson buy?
Answer:
8
Step-by-step explanation:
Step 1: Add the cost of the posters together
Shark: 1 = $2
Jellyfish: 1 = $6
2 + 6 = 8
Step 2: Divide the result by the total amount Mr. Benson spent
64 ÷ 8
[tex]= \frac{64}{8}[/tex]
[tex]= 8[/tex]
Therefore, Mr. Benson bought 8 of each type of poster.
The price of 2 ratios are in x:y when the prices both increase by £20, the ratio becomes 5:2 when the prices both reduce by £5 the ratio becomes 5:1 express the x:y ratio in the lowest form
Answer:
x:y = 4:1
Step-by-step explanation:
Since their ratios are x:y, when they both increase by £20, their ratio is 5:2.
So, x + 20/(y + 20) = 5/2 (1)
When they both decrease by £5, their ratio is 5:1.
So, x - 5/(y - 5) = 5/1 (2)
Simplifying (1) and (2), we have
x + 20/(y + 20) = 5/2 (1)
cross-multiplying, we have
2(x + 20) = 5(y + 20)
expanding the brackets, we have
2x + 40 = 5y + 100
2x - 5y = 100 - 40
2x - 5y = 60 (3)
So,
x -5/(y - 5) = 5/1 (2)
cross-multiplying, we have
(x - 5) = 5(y - 5)
expanding the brackets, we have
x - 5 = 5y - 25
x = 5y - 25 + 5
x = 5y - 20 (4)
Substituting (4 into (3), we have
2x - 5y = 60 (3)
2(5y - 20) - 5y = 60
10y - 40 - 5y = 60
10y - 5y = 60 + 40
5y = 100
y = 100/5 = 20
substituting y = 20 into (4), we have
x = 5y - 20 (4)
x = 5(20) - 20
x = 100 - 20
x = 80
So, x/y = 80/20 = 4
x/y = 4/1
x:y = 4:1