The missing terms in the geometric sequences are 360 and 1080 for sequence B, and 0.2 and 0.02 for sequence C.
Explanation:In this question, we're working with geometric sequences. A geometric sequence is a sequence in which you multiply by a constant to get from one term to the next.
For sequence B, we notice that 120 is three times 40, so we're multiplying by 3 each time. Thus, the next two terms would be 360 (120 * 3) and 1080 (360 * 3).
For sequence C, we're dividing by 10 to get from one term to the next (200 / 10 = 20, 20 / 10 = 2). Thus, the missing terms would be 0.2 (2 / 10) and 0.02 (0.2 / 10).
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Write an inequality for the graph.
Answer:
x ≤ 3
This is because it is a closed circle.
Suppose g(x) = f(x-2) + 3. Which statement best compares the graph of g(x)
with the graph of f(x)?
Answer:
The graph of g(x) is f(x) translated 3 units up.
Avery bought 5 packs of pencils there were eight pencils in each back if every team line pencils to her friends how many pencils does Avery have left
Answer:
31
Step-by-step explanation:
Avery has 31 left
5 x 8 = 40
40 - 9 = 31
therefore avery has 31 pencils left
determina la medida de cada uno de los angulos del triángulo ABC si se conoce que (3x+1)° (3x+4)° y (2x-1)°
Answer:
∠A=67°
∠B=70°
∠C=43°
Step-by-step explanation:
The correct question in English is
Determines the measurement of each of the angles of the triangle ABC if it is known that A=(3x+1)°,B=(3x+4)° and C=(2x-1)°.
we know that
The measure of the interior angles in a triangle must be equal to 180 degrees
so
∠A+∠B+∠C=180°
substitute the given values
[tex](3x+1)\°+(3x+4)\°+(2x-1)\°=180\°[/tex]
solve for x
[tex](8x+4)\°=180\°[/tex]
[tex]8x=180-4[/tex]
[tex]x=22[/tex]
Find the measure of each angle
∠A=(3(22)+1)=67°
∠B=(3(22)+4)=70°
∠C=(2(22)-1)=43°
it is 6.09 pm the movie starts at 6:30 pm. while standing in the line for the movie, you count 146 people in front of you. nine people buy their tickets in 70 seconds. will you be able to buy your ticket before the movie starts?
Step-by-step explanation:
It is given that [tex]9[/tex] people bought tickets in [tex]70[/tex] seconds.
So,[tex]\frac{9}{70}[/tex] people can buy tickets in a second.
It is given that the current time is [tex]6:09pm[/tex] and movie starts at [tex]6:30pm[/tex].
So there is [tex]30-9=21minutes[/tex] until movie starts.
In [tex]21[/tex] minutes,the number of persons that can buy tickets are [tex]\frac{9}{70}\times 21\times 60=162[/tex].
So,[tex]162[/tex] people can buy tickets in [tex]21[/tex] minutes.
Since there are only [tex]146[/tex] people in front of you,you can buy a ticket.
A loan of $46,000 is made at 7% interest, compounded annually. After how many years will the amount due reach $65,000 or more?
After 5.11 years, amount due reach $65,000 or more
Solution:
Given that a loan of $46,000 is made.
Rate of interest charged is 7% compounded annually
Need to determine number of years in which the amount due reach $65,000 or more.
In our case
Amount due A = $65000
Loan Amount that is principal P = $46000
Rate of interest r = 7%
Formula for Amount compounded anually is as follows:
[tex]\mathrm{A}=P\left(1+\frac{r}{100}\right)^{n}[/tex]
Substituting the values in above formula we get
[tex]\begin{array}{l}{65000=46000\left(1+\frac{7}{100}\right)^{n}} \\\\ {\frac{65000}{46000}=\left(\frac{107}{100}\right)^{n}} \\\\ {\Rightarrow 1.4130=(1.07)^{n}}\end{array}[/tex]
Applying log on both sides, we
[tex]\begin{array}{l}{\ln 1.4130=n \ln 1.07} \\\\ {=>\frac{\ln 1.4130}{\ln 1.07}=\mathrm{n}} \\\\ {=>\mathrm{n}=\frac{0.34571}{0.067658}=5.1096=5.11}\end{array}[/tex]
Hence after 5.11 years , amount due reach $65,000 or more
The difference of 2 times a number and 3/4 is 1/2. Determine the number
Answer:
5/8
Step-by-step explanation:
if I understand correctly the problem is
(2*X)-(3/4)=1/2
to solve for x we need to isolate it, the first step in doing so is getting rid of the 3/4
2*X-3/4+3/4=1/2+3/4
simplify
2*X=1 1/4
the next step is getting rid of the 2
(2*X)/2=(1 1/4)/2
simplify
X=5/8
A satellite travels 29 1/2 miles every 4 1/3
seconds. What is its unit rate of speed?
Answer:
The speed at which the satellite travel is 6.80 miles per second
Step-by-step explanation:
Given as :
The distance cover by satellites = 29 [tex]\frac{1}{2}[/tex] miles
Or, The distance cover by satellites = [tex]\frac{59}{2}[/tex] miles
The Time taken by satellite to travel with this speed = 4[tex]\frac{1}{3}[/tex] sec
Or, The Time taken by satellite to travel with this speed = [tex]\frac{13}{3}[/tex] seconds
Let the Speed with which the satellite travel = s miles per second
Now, As we know
Speed = [tex]\dfrac{\textrm Distance}{\textrm Time}[/tex]
Or, s = [tex]\frac{\frac{52}{2}}{\frac{13}{3}}[/tex]
or, s = [tex]\frac{59\times 3}{2\times 13}[/tex]
∴ s = 6.80 mps
So, speed = s = 6.80 miles per second
Hence The speed at which the satellite travel is 6.80 miles per second Anwser
Of the following equations below, which equation represents a direct variation between x and y?
Select one:
A. 2y = 3x −7
B. y −4 = x +6
C. y +3 = x +3
D. 4y +1 = 4x−1
Answer:
C. y +3 = x +3
Step-by-step explanation:
We need to find in below option x has direct variation with y.
We solve for each;
A. [tex]2y = 3x-7[/tex]
From above equation we can state that 2 times y is equal to 7 less than 3 times of x.
Hence it doesn't represent direct variation.
B. [tex]y-4 = x+6[/tex]
Solving above expression we get;
[tex]y-4 = x+6\\y = x+6+4\\y=x+10[/tex]
From above equation we can state that y is equal to 10 more than x.
Hence it doesn't represent direct variation.
C. [tex]y+3 = x+3[/tex]
Solving above expression we get;
[tex]y+3 = x+3\\y = x+3-3\\y=x[/tex]
From above equation we can state that y is equal to x.
Hence it represent direct variation.
D. [tex]4y+1 = 4x-1[/tex]
Solving above expression we get;
[tex]4y+1 = 4x-1\\4y = 4x-1-1\\4y=4x-2[/tex]
From above equation we can state that 4 times y is equal to 2 less than 4 times of x.
Hence it doesn't represent direct variation.
Hence the Answer which represent direct variation of x and y is,
C. [tex]y+3 = x+3[/tex]
Which two points on the number line represent numbers that can be combined to make zero? C
Answer:
The are infinite
Step-by-step explanation:
some are 1,-1
2,-2
3,-3
10000,-10000
Answer:
It’s a
Step-by-step explanation:
HELP An investor invested a total of $2,800 in two mutual funds. One fund earned 5% profit while the other earned 3% profit. If the investor's total profit was $104, how much was invested in each mutual fund? The amount invested in the mutual fund that earned 5% was $(blank). The amount invested in the mutual fund that earned 3% was $(blank). (show your work)
Answer:
The amount invested in the mutual fund that earned 5% was $1,000
The amount invested in the mutual fund that earned 3% was $1,800
Step-by-step explanation:
Let
x ----> the amount invested in the mutual fund that earned 5%
y ----> the amount invested in the mutual fund that earned 3%
we know that
[tex]x+y=2,800[/tex] ----> [tex]y=2,800-x[/tex] ----> equation A
[tex]5\%=5/100=0.05[/tex]
[tex]3\%=3/100=0.03[/tex]
[tex]0.05x+0.03y=104[/tex] ----> equation B
Solve the system by substitution
substitute equation A in equation B
[tex]0.05x+0.03(2,800-x)=104[/tex]
Solve for x
[tex]0.05x+84-0.03x=104[/tex]
[tex]0.05x-0.03x=104-84[/tex]
[tex]0.02x=20[/tex]
[tex]x=\$1,000[/tex]
Find the value of y
[tex]y=2,800-x[/tex]
[tex]y=2,800-1,000=\$1,800[/tex]
therefore
The amount invested in the mutual fund that earned 5% was $1,000 and the amount invested in the mutual fund that earned 3% was $1,800
someone please help with 17!! leave work below
Answer:
The amount charged is proportional to the ears of corn
Step-by-step explanation:
Now I'm going to explain, but write it in your own words. It's proportional because the amount charged is completely reliant on how many ears of corn you are buying.
So for every 1 ear of corn, you pay about 33 cents
or
For every 2 ears of corn, you pay about 67 cents
The amount you pay completely relies on how many you're buyingwhat value is equivalent to -2 x 3² - 8 ÷ 2 + 6?
Answer:
−18x+2
Step-by-step explanation:
Your get a haircut that cost $23.if you tip the barber 10%,what is the final bill?
Answer:
$25.30
Step-by-step explanation:
The final bill was $25.30 if you get a haircut that cost $23.if you tip the barber 10% of the total haircut cost.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
You get a haircut that cost $23.if you tip the barber 10% of the total hair cut cost.
Let x be the final bill amount.
The value of x can be found as follows:
x = $23 + 10% of $23
x = 23 + (10/100)23
x = 23 + 0.1(23)
x = 23 + 2.30
x = $25.30
Thus, the final bill was $25.30 if you get a haircut that cost $23.if you tip the barber 10% of the total haircut cost.
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it took jack 360 seconds to walk home from school how many min did it take him
1 minute has 60 seconds. So dividing the number of seconds jack has to walk from school to home by 60 will give us minutes.
[tex]t=\dfrac{360\mathrm{s}}{60}=\boxed{6\mathrm{min}}[/tex]
Hope this helps.
Deja spends 25% of her monthly salary on her rent. Her rent is $650 a month. What is dejas monthly salary
Answer:
Monthly Salary = $2,600
Step-by-step explanation:
Monthly rent on monthly salary = 25%
Monthly rent = $650.
To determine the monthly sale, we have to use the unitary method.
25% monthly rent on monthly salary means out of $100, Deja spends $25 on her rent.
Therefore,
Deja spends $25 on her rent, when the monthly salary = $100
Deja spends $1 on her rent, when the monthly salary = [tex]\frac{100}{25}[/tex]
Deja spends $650 on her rent, when the monthly salary = [tex]\frac{100*650}{25}[/tex]
= [tex]\frac{65000}{25}[/tex]
= $2,600
Her monthly salary is $2,600.
x|x integars between 4 & 8 lost the elements in the set
Answer:
The set of integer between 4 and 8 = { 5, 6, 7 }.
Step-by-step explanation:
Set:
A set is a well-defined collection of distinct objects, elements encloses in curly bracket.
For example.
set of vowels = { a, e, i, o, u }
set of any three Capital alphabets = { A, B ,Z }
set of cars = { Ferrari, Volvo, Mercedes, Audi }
Now we want set of integer between 4 and 8
Integer: All the positive and negative natural numbers are called integers.
-1, -2, -3, 1, 2, 3, 4, 5, 6 ,7 , 8 ..
The set of integer between 4 and 8 = { 5, 6, 7 }.
Can someone please explain to me HOW to transform this equation to determine if its an identity (8x+12y)^2+(6x+9y)=(10x+15y)^2
Answer:
See explanation
Step-by-step explanation:
Given
[tex](8x+12y)^2+(6x+9y)^2=(10x+15y)^2[/tex]
Note
[tex](8x+12y)^2=(4(2x+3y))^2=16(2x+3y)^2\\ \\(6x+9y)^2=(3(2x+3y))^2=9(2x+3y)^2\\ \\(10x+15y)^2=(5(2x+3y))^2=25(2x+3y)^2[/tex]
Since
[tex]16(2x+3y)^2+9(2x+3y)^2=(2x+3y)^2(16+9)=25(2x+3y)^2,[/tex]
this is an identity
Use addition to solve the linear system of equations y=2x-5 3x+3=y
Answer:
(-8, -21)
Step-by-step explanation:
y=2x-5
3x+3=y
------------
2x-5=3x+3
2x-3x-5=3
-x-5=3
-x=3+5
-x=8
x=-8
y=2(-8)-5=-16-5=-21
Answer: x=-8, y=-21.
add 9 and 3, then add 6 to the result
Answer:
Step-by-step explanation:
18
9+3=12+6=18
Answer:
18
Step-by-step explanation:
Add 9 and 3;
9 + 3 = 12
Then add 6 to the result
12 + 6 = 18
ANSWER MY QUESTION PLEASE
Here is a linear equation: y = 1/4x + 5/4. Find the x-intercept of the graph of the equation.
Hint: the y-value will be 0 at the x-intercept.
write your answer
To find the x-intercept of the linear equation y = 1/4x + 5/4, substitute y = 0 into the equation and solve for x. The x-intercept is -5.
Explanation:To find the x-intercept of the graph of the equation y = 1/4x + 5/4, we need to set the y-value to 0 and solve for x.
So, by substituting y = 0 into the equation, we get 0 = 1/4x + 5/4.
Now, we can solve for x by isolating x on one side of the equation. Subtracting 5/4 from both sides gives us -5/4 = 1/4x. Multiplying both sides by 4 gives us -5 = x, or x = -5.
Therefore, the x-intercept of the graph is -5.
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A sporting goods store manager was selling a ski set for a certain price. The manager offered the markdowns shown on the right, making the one day sale price of the ski set $328. Find the original selling price of the ski set.
The original selling price of the ski set is $585.71.
Explanation:Step 1: Determine the final sale price after the first markdown
The one-day sale price of the ski set is $328, and the first markdown is 20%. To find the final sale price after the first markdown, we can set up the equation:
0.80 × Original Price = $328
Solving for the original price, we get:
Original Price = $328 / 0.80 = $410
Therefore, the final sale price after the first markdown is $410.
Step 2: Determine the original selling price
The final sale price after the first markdown is $410, and the second markdown is 30%. To find the original selling price, we can set up the equation:
0.70 × Original Price = $410
Solving for the original price, we get:
Original Price = $410 / 0.70 = $585.71
Therefore, the original selling price of the ski set is $585.71.
PLEAASE HELP ASAP!!!!!
language arts!!
1. Decide whether each of the following groups of words is a complete sentence (an independent clause) or an incomplete sentence (a dependent clause). If the sentence is incomplete, capitalize it and do whatever else is necessary to make it complete. If the sentence is complete, capitalize the first word and add the appropriate ending punctuation.
Example: three ships went with Columbus
Three ships went with Columbus.
1.because they found no gold in that country
2. after they went running through
3. he wants to visit the moon
4. the boy who has lots of freckles
5. she turned a page in her book
6. a book that I read
7. before the race began
1. Incomplete/ Because they found no gold in that country...
2. Incomplete/ After, they went running through...
3. Complete/ He wants to visit the Moon.
4. Incomplete/ The boy who has lots of freckles...
5. Incomplete I believe/ She turned a page in her book...
6. Incomplete/ A book that I read...
7. Incomplete/ Before the race began....
Answer:
Incomplete/ Because they found no gold in that country...
2. Incomplete/ After, they went running through...
3. Complete/ He wants to visit the Moon.
4. Incomplete/ The boy who has lots of freckles...
5. Incomplete I believe/ She turned a page in her book...
6. Incomplete/ A book that I read...
7. Incomplete/ Before the race began....
Step-by-step explanation:
Caleb paid $26.70, including a 7% sales tax, for a security wallet. How much did the wallet itself cost?
Answer:
24.36
Step-by-step explanation:
26.7 / 1.07 = 24.36
How many 6 1/4-inch pieces of fabric can be cut from a 75-inch roll?
Answer:
12 pieces
Step-by-step explanation:
75 divided by 6 1/4= 12 pieces
4. How much time will it take for a bug to travel 7.5 meters across the floor if it is traveling at 1 m/s?
It will take the bug 7.5s to travel across the floor.
Step-by-step explanation:
Distance = 7.5 meters
Speed = 1 m/s
The formula for speed is
[tex]Speed = \frac{Distance}{Time}\\\\Time = \frac{Distance}{Speed}\\Time=\frac{7.5}{1}\\Time=7.5\ s[/tex]
It will take the bug 7.5s to travel across the floor.
Keywords: distance, speed
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-3 2/7 times .14 as a decimal and a fraction
Answer:
-0.46 or -23/50
Step-by-step explanation:
We note that 0.14 is easily divisible by 7, so we can do this using the distributive property:
(-3 2/7)(0.14) = (-1)(3 + 2/7)(0.14)
= (-1)(3×0.14 +2/7×0.14)
= (-1)(0.42 +0.04)
= -0.46 . . . . . decimal form
= -46/100 . . . . place value
= -23/50 . . . . remove common factor of 2; fraction form
The product is -0.46 or -23/50.
5 different mathematics books, 4 different French books and 2 different biology books are to be arrange on a shelf. How many different arrangements are possible, if
1. The books in each particular subject must all stand together?
2. Only the mathematics books must stand together.
Problem 1
A = 5! = 5*4*3*2*1 = 120 ways to arrange the math books
B = 4! = 4*3*2*1 = 24 ways to arrange the French books
C = 2! = 2*1 = 2 ways to arrange the biology books
D = 3! = 3*2*1 = 6 ways to arrange the three blocks of books, each block a different subject
E = A*B*C*D = 120*24*2*6 = 34560 different ways to arrange the books such that the subjects stick together
-------------
Answer: 34560========================================
Problem 2
Group all the math books to form one "book". This is the same as taking out the 5 math books and replacing it with one single math book. This single math book acts as a placeholder for all of the five books together as one block.
We have
1 math "book"
4 French books
2 biology books
So there are 1+4+2 = 7 "books" total and
7! = 7*6*5*4*3*2*1 = 5040 different ways to arrange those "books"
Within the math block of books, there are 5! = 120 ways to arrange things.
So overall we have 120*5040 = 604800
-------------
Answer: 604800Determine the intercepts of the line.
y=-3x+12y=−3x+12
Answer:
x-intercept=4 and y-intercept = 12
Step-by-step explanation:
To find the x-intercept, make the y=0:
0 = -3x+12
3x = 12
x=12/3
x=4
To find the y-intercept, make the x=0:
y = -3(0) +12
y = 0 +12
y = 12
Hope this helps!
Please mark brainliest if you think I helped! Would really appreciate!
Answer:
y=12,0
x=4,0
Step-by-step explanation:
for those who were just as confused as i was <3
cos(t)=24/25, what does sin(t)=?
Answer:
The value of sin t is [tex]\frac{7}{25}[/tex]
Step-by-step explanation:
Given as :
cos (t) = [tex]\frac{24}{25}[/tex]
Since sin² t + cos² t = 1
So, sin² t = 1 - cos² t
or, sin² t = 1 - ([tex]\frac{24}{25}[/tex])²
or, sin² t = [tex]\frac{25^{2} - 24^{2} }{25^{2} }[/tex]
Or, sin² t = [tex]\frac{625 - 576}{625}[/tex]
Or , sin² t = [tex]\frac{49}{625}[/tex]
Or, sin t = [tex]\sqrt{\frac{49}{625} }[/tex]
So, sin t = [tex]\frac{7}{25}[/tex]
Hence The value of sin t is [tex]\frac{7}{25}[/tex] Answer