Answer:
840
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 14 - 7 = 21 - 14 = 7
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 7 and d = 7 , thus
[tex]a_{120}[/tex] = 7 + (119 × 7 ) = 7 + 833 = 840
Ashley wants to pour 97.94 grams of salt into a container. So far, she has poured 39.1 grams. How much more salt should Ashley pour?
which value of x satisfies the equation 7/3 (x + 9/28) = 20?
Answer:
x=8.25
Step-by-step explanation:
Divide both sides by 7/3
(x+9/28) = 8.57
Subtract 9/28 on both sides
x = 8.25
401 km 101 m – 34 km 153 m
Given :
An expression D = 401 km 101 m – 34 km 153 m.
To Find :
Value of D.
Solution :
We know, 1 km = 1000 m.
So, 401 km 101 m =( 401000 + 101 ) m = 401101 m.
Also, 34 km 153 m = ( 34000 + 153 ) m = 34153 m.
Now, D is given by :
D = 401101 - 34153 m
D = 366948 m
Now, D = 366948 m = 366 km 948 m.
Therefore, the difference is 366 km 948 m.
Hence, this is the required solution.
(10 points)What is the sum of the first ten terms of the sequence 4,-12, 36, -144...
A. 59,050
B.-78,732
C.-59,048
D.118,096
If you could show work I would be grateful
Answer:
b
Step-by-step explanation:
The sum of the first ten terms of the sequence is -59,048. The correct option is C.-59,048
Here is the correct question:
What is the sum of the first ten terms of the sequence 4, -12, 36, -108...
From the question,
The given sequence is 4,-12, 36, -108...
This is a geometric progression since it has a common ratio.
The common ratio, r = -3
Recall that,
Given a geometric progression, the common ratio, r is given as
[tex]r = \frac{T_{2} }{T_{1}} = \frac{T_{3} }{T_{2}} =\frac{T_{4} }{T_{3}} = ...[/tex]
From the given sequence,
[tex]T_{1} = 4[/tex]
[tex]T_{2} = -12[/tex]
[tex]T_{3} = 36[/tex]
[tex]T_{4} = -108[/tex]
∴ [tex]r = \frac{-12 }{4} = \frac{36}{-12} =\frac{-108} {36} = -3[/tex]
Therefore, the sequence is a geometric progression with a common ratio of 3
Now, to determine the sum of the first ten terms of the sequence,
From the formula
[tex]S_{n} = \frac{a(1-r^{n}) }{1-r}[/tex]
Where [tex]S_{n}[/tex] is the sum of n terms
[tex]a[/tex] is the first term
[tex]r[/tex] is the common ratio
and [tex]n[/tex] is the number of terms in the series
From the question
[tex]a = 4[/tex]
[tex]r = -3[/tex]
and [tex]n = 10[/tex] (Since, we are to determine the sum of the first 10 terms)
Now, put the parameters into the formula
[tex]S_{n} = \frac{a(1-r^{n}) }{1-r}[/tex]
We get
[tex]S_{10} = \frac{4(1-(-3)^{10}) }{1-(-3)}[/tex]
[tex]S_{10} = \frac{4(1-59049) }{1+3}[/tex]
[tex]S_{10} = \frac{4(-59048) }{4}[/tex]
[tex]S_{10} = \frac{-236192 }{4}[/tex]
[tex]S_{10} = -59048[/tex]
Hence, the sum of the first ten terms of the sequence is -59,048. The correct option is C.-59,048
Learn more here: https://brainly.com/question/10315487
What is the answer for this? Ugh I hate study island!!
Answer:
[tex]\frac{7x}{8}-\frac{1}{40}[/tex]
Step-by-step explanation:
[tex](\frac{3x}{4}-\frac{5}{8})+(\frac{x}{8}+\frac{3}{5})[/tex]
By combining the like terms,
= [tex](\frac{3x}{4}+\frac{x}{8})+(\frac{3}{5}-\frac{5}{8})[/tex]
= [tex](\frac{6x}{8}+\frac{x}{8})+(\frac{3}{5}\times \frac{8}{8}-\frac{5}{8}\times \frac{5}{5} )[/tex]
= [tex]\frac{7x}{8}+(\frac{24}{40}-\frac{25}{40})[/tex]
= [tex]\frac{7x}{8}-\frac{1}{40}[/tex]
Therefore, by solving the given expression we find the answer as [tex]\frac{7x}{8}-\frac{1}{40}[/tex].
17.
A $75 prize was to be awarded and split amongst a 6 person team. Which
representation best shows how much money each person will get, assuming the
prize is split equally?
Answer:
$12.5
Step-by-step explanation:
Since prize is split equally.
So, money received by each person
= 75/6
= $12.5
Let x= -11/8 and y= -11/4
Which expression has a negative value?
x + y
x — у
х.у
х/y
Answer:
x + y
Step-by-step explanation:
In these examples, a and b are positive numbers.
- a + ( - b) = - (a+ b)
- a - ( - b) = - a + b
- a * - b = a * b
- a / -b = a/b
Hope this helps understanding.
PLEASE HELP MY BIRTHDAY WILL BE CANCELLED IF I DONT GET A GOOD GRADE ON THIS
Answer:
Option 4
Step-by-step explanation:
If the circle is filled in them it will be either ≤, ≥, ≈ .
One circle is open one is closed
working together Alberto and Amanda can paint a fence in 4.12 hours. had she done it alone it would have taken Amanda 10 hours. find how long it would take Alberto to do it alone. A) 6.75 B) 5.02 c) 7.54 D)7.01
Answer:
D) 7.01
Step-by-step explanation:
The rates of doing work, in terms of jobs per hour, will add when the two painters are working together. If A represents Alberto's time to do the job alone, we have ...
1/4.12 = 1/10 + 1/A
(Jobs per hour is the inverse of hours per job.)
A = 1/(1/4.12 -1/10) ≈ 7.0068 ≈ 7.01
It takes Alberto 7.01 hours to do the job alone.
What’s the distance between (6,4) , (-5,-1) round to the nearest ten
Answer:
The answer is
12.1 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(6,4) and (-5,-1)
The distance between them is
[tex]d = \sqrt{ ({6 + 5})^{2} + ( {4 + 1})^{2} } \\ = \sqrt{ {11}^{2} + {5}^{2} } \\ = \sqrt{121 + 25} \\ = \sqrt{146} \\ \: \: \: \: \: \: \: \: \: \: \: = 12.0830459[/tex]
We have the final answer as
12.1 units to the nearest tenthHope this helps
2p-3 = 3p+2.
answer please!!!!
Answer:
- 5
Step-by-step explanation:
Step 1:
2p - 3 = 3p + 2
Step 2:
2p = 3p + 2 + 3
Step 2:
2p = 3p + 5
Step 3:
- p = 5
Answer:
p = - 5
Hope This Helps :)
Answer:
-5
Step-by-step explanation:
2p - 3 = 3p + 2
combine the like terms
-3 -2 = 3p -2p
-5 = p
Jillian solved the equation v + 4.3 = 7.05 using the work shown below. * v + 4.3 = 7.05 v + 4.3 − 4.3 = 7.05 + 4.3 v = 11.35 What error did Jillian make?
Answer:
Please check explanation
Step-by-step explanation:
Here, in this question, we are interested in identifying the error made by Jillian in his solution of the equation.
This error is traceable to the second step of his solution. Adding 4.3 to 7.05 and subtracting again is the same thing as not adding anything or just adding zero only.
What he should have done is to subtract the value of 4.3 from both sides of the equation. In that manner, he would have been able to isolate v on the left hand side of the equation
3y + 2 ayuda necesito esto para hoy :(
Hey there!☺
[tex]Answer:\boxed{3y+2}[/tex]
[tex]Explanation:[/tex]
[tex]3y+2[/tex]
Since there are no like terms and it can't be factored the answer is:
[tex]3y+2[/tex]
Hope this helps!
Can someone help me with this question? Thanks if you do!
In the bottom question what does X= to?
Answer:
The value of x is 29°...
When an angle is bisected, it is cut in half. We can assume that m<BAR = m<CAB and we know that m<CAR = m<CAB + m<BAR
88 = 2x - 14 + 2x - 14
Combine like terms
88 = 4x - 28
Add 28 to both sides
116 = 4x
Divide both sides by 4
29 = x
Midpoint (-10,9), (3,8)
Answer:
(-3.5 8.5)
Step-by-step explanation:
Midpoint Formula: ([tex]\frac{x2 + x1}{2}[/tex], [tex]\frac{y2 + y1}{2}[/tex])
What I did: -10 + 3 = 7, 7 / 2 = 3.5 x = 3.5 | 9 + 8 = 17, 17 / 2 = 8.5
Midpoint = (-3.5, 8.5)
how to solve V1 T2 = V2 T1
V1 = 600mL T1 = 77.0 V2 = ? T2 = 86.0
Answer:
V2 = 670.129
Step-by-step explanation:
V1T2 = V2T1
Let V2 = y
600 x 86.0 = y x 77.0
51600 = 77y
77y/77 = 51600/77
y = 670.129
since y= V2
V2 = 670.129
is it greater than or less than 4.29__4.3
Step-by-step explanation:
Think of 4.29 and 4.3 as 429 and 430.
Now which is greater, 429 or 430?
430, right? Then we convert them back to decimals.
4.29<4.3
Hope it helps!
Joyce’s teacher asks her to write the sequence formed by the number of red squares in each picture for the first five pictures. What sequence should Joyce write?
Answer:
Joyce should write [tex]1,8,64,512,4096[/tex]
Step-by-step explanation:
Let's analyze the procedure of how the pictures are formed.
Her teacher said the images were created by taking a red square, dividing it into 9 smaller squares, and removing the center square.
For the first two images we can see and count that there is 1 red square in the first picture and 8 red squares in the second picture.
For the third image, there are 8 squares formed by 8 red squares each one.
The number of red squares is 8 x 8 = 64
We can write the sequence as
1 , 8 , 64 ⇒ 1 , 8 , [tex]8^{2}[/tex]
For the fourth picture we can do the same reasoning and figure out that there are 8 x 8 x 8 = 512 red squares in the fourth image.
The sequence so far is
1 , 8 , 64 , 512 ⇒ 1 , 8 , [tex]8^{2}[/tex] , [tex]8^{3}[/tex]
We can generalize the sequence and write that the sequence is :
[tex]8^{n}[/tex] with [tex]n[/tex] ∈ IN ⇒ The first five numbers will be
[tex]8^{0},8^{1},8^{2},8^{3},8^{4}[/tex] = [tex]1,8,64,512,4096[/tex]
Find the value of x for which the lines p and q are parallel.
Answer:
Do you have a picture of the problem, please?
Step-by-step explanation:
Only then, can I edit this and provide an accurate answer! ;D
Answer:
x=7
Step-by-step explanation:
x=7
14=7(2x-4)
I have to solve this equation using two different methods and I don’t know how
Answer:
14=7(2x-4)
0r, 14/7 = 2x-4
or, 2= 2x-4
0r,2x= 6
or x=3
14=7(2x-4)
14=14x -28
14x=42
x=42/14=3
Method 1
Divide both sides by 7 first to get
14 = 7(2x-4)
14/7 = 7(2x-4)/7
2 = 2x-4
Then add 4 to both sides
2+4 = 2x-4+4
6 = 2x
2x = 6
Finally, divide both sides by 2
2x/2 = 6/2
x = 3
which is the final answer
------------------------------------------------------------------------------------------------
Method 2
Distribute the 7 through to each term in the parenthesis
14 = 7(2x-4)
14 = 7*2x + 7*(-4)
14 = 14x - 28
Then we follow similar steps as done earlier. Add 28 to both sides
14+28 = 14x-28+28
42 = 14x
14x = 42
Then divide both sides by 14 to fully isolate x
14x/14 = 42/14
x = 3
Either way we get the same result. As to which method you pick (if you could only choose one), its up to you based on whichever you find easier.
The basic idea with either method is that we follow PEMDAS in reverse to undo everything happening to x. This way we fully isolate it.
----------------
Checking the answer:
Plug x = 3 into the original equation. Simplify to get
14 = 7(2x-4)
14 = 7(2*3-4)
14 = 7(6-4)
14 = 7*2
14 = 14
This confirms the answer. As you can see, if we know the value of x, we use PEMDAS to simplify both sides. But if we don't know x, and want to find it, then we follow PEMDAS in reverse.
What’s the domain and range?
Answer:
the first component of ordered pair is domain and second component is range
Answer:
In its simplest form the domain is all the values that go into a function, and the range is all the values that come out
Diego says the constant of proportionality is 550 Andrew say is the constant of proportionality is 9 1/6 do you agree with either of them explain your reason
Answer:
The question is incomplete. The complete question is :
A plane traveling at a constant speed flew over Pittsburgh, Saint Louis, Albuquerque, and Phoenix on its way from New York to San Diego.
Complete the table as you answer the questions. Be prepared to explain your reasoning.
segment time distance speed
Pittsburgh to Saint Louis 1 hour 550 miles
Saint Louis to Albuquerque 1 hour 42 minutes
Albuquerque to Phoenix 330 miles
Step-by-step explanation:
We can complete the table as :
segment time distance speed
Pittsburgh to Saint Louis 1 hour 550 miles 550 miles/hour
Saint Louis to Albuquerque 1 hour 42 minutes 93.5 miles 550 miles/hour
Albuquerque to Phoenix 3/5 hour 330 miles 550 miles/hour
Since it is given in the question that the plane is flying in a constant speed from one place top another place.
So, it is maintaining the same speed to cover different distances for different time.
Thus the constant of proportionality is 550.
how do i solve this?
solve 2x^2 = x^4 +1 to find the value of x
Answer:
x= -1
x=1
Step-by-step explanation:
the dots above are
4
16
56
PLEASE HURRY
Answer:
Equation 1
hope this helps
please help very confused limited time!
slope-intercept form: y = mx + b
m = the slope and b = the y-intercept.
We know that the line passes through x-coordinate 1 and y-coordinate 1 and has a slope of 2
Let's plug our numbers into the slope-intercept form
1 = 2(1) + b
Simplify the right side
1 = 2 + b
Subtract 2 from both sides
-1 = b
The final answer: y = 2x - 1
Copy and fill in the charts.
Answer:
15% = 3/20 = 0.15
1.25 =125% =5/4
12 3/8 = 12.375 = 1237.5%
Step-by-step explanation:
15% to fraction , then decimal ;
[tex]15\% = \frac{15}{100} \\Cross\:cancel\:common\:factor ; 5\\\\15\div 5 = 3\\100\div 5 = 20\\\\= \frac{3}{20}\\\\\frac{3}{20} = 0.15[/tex]
1.25 to fraction , then percentage
[tex]1.25 = \frac{1.25}{1} \times \frac{100}{100} \\\\1.25\times 100 =125\\1\times 100 = 100\\\\= \frac{125}{100} \\= \frac{5}{4} \\\\1.25\times 100\\= 125\%[/tex]
12 3/8 to decimal then percentage
[tex]12\frac{3}{8} =\frac{99}{8} = 12.375\\\\12.375\times 100\\\\= 1237.5\%[/tex]
A recipe for orange water says, “Mix 3 teaspoons yellow water with 1 teaspoon red water.” For this recipe, we might say: “The ratio of teaspoons of yellow water to teaspoons of red water is 3:1.”
Answer:6:2
Step-by-step explanation:
Answer:
how many batches you need to know? If 2 batches the answer is 6:2 and if 4 batches it is 12:4
helppp first to answerr will be marked as brainlist
Answer:
A
Step-by-step explanation:
in the end of the sentence it mentions "in the future" so you need to make that verb future tense as well
I think the correct answer is A.
Explanation: It just makes the most sense to me. I dont really know how to explain it any better! Im sorry! I hope this helped!! :)