Answers
Related Questions
Find the 6th term of the geometric sequence whose common ratio is 3/2 and whose first term is 6.
Answers
Answer:
The 6th term will be:
[tex]a_6=\frac{729}{16}[/tex]
Step-by-step explanation:
Given
a₁ = 6common ratio r = 3/2To determine
a₆ = ?
A geometric sequence has a constant ratio r and is defined by
[tex]a_n=a_1\cdot r^{n-1}[/tex]
substituting a₁ = 6, r = 3/2
[tex]a_n=6\cdot \left(\frac{3}{2}\right)^{n-1}[/tex]
Determining 6th term
substituting n = 6 in the given equation
[tex]a_n=6\cdot \left(\frac{3}{2}\right)^{n-1}[/tex]
[tex]a_6=6\cdot \left(\frac{3}{2}\right)^{6-1}[/tex]
[tex]=6\cdot \frac{3^5}{2^5}[/tex]
[tex]=\frac{3^5\cdot \:6}{2^5}[/tex]
[tex]=\frac{3^5\cdot \:2\cdot \:3}{2^5}[/tex]
Cancel the common term
[tex]=\frac{3^6}{2^4}[/tex]
[tex]=\frac{729}{16}[/tex]
Therefore, the 6th term will be:
[tex]a_6=\frac{729}{16}[/tex]
Which of the following expressions is equivalent to xy^3?
(options in the pic)
Answers
Answer:
A
Step-by-step explanation:
[tex] {xy}^{3} [/tex]
means that xy is being multiplied with itself thrice.
Hence,
[tex]xy \times xy \times xy[/tex]
A gray crayon is made with 5\text{ mL}5 mL5, start text, space, m, L, end text of black wax for every 6\text{ mL}6 mL6, start text, space, m, L, end text of white wax.
Answers
Step-by-step explanation:
Given that,
A gray crayon is made with 5 mL of black wax for every 6 mL of white wax.
We need to find the mixture will create the same shade of gray.
For this we need to make the ratio same.
If we multiply 5 mL and 6 mL by 3 to make the ratio same.
5 mL × 3 = 15 mL
6 mL × 3 = 18 mL
Hence, 15 mL of black wax mixed with 18 mL of white wax is mixed so as to make the ratio same.
Answer:
15ml of black wax mixed with 18ml of white wax
35ml of black wax mixed with 42ml of white wax
Step-by-step explanation: Khan Academy
4. A boat shop rents its boats for $20 per hour and charges a flat fee of
$10 dollars for insurance in case of damage. What is the total cost for
renting one boat for 5 hours? Hint: multiply and add the fee. *
O $100
$110
$30
O $70
Answers
Answer:
4 hours
Step-by-step explanation:
Let x = # of hours
22x + 10 = 98
-10 -10
____________
22x = 88
22
x = 4
4(x + y)= pleaseee answer I need this done by today
Answers
4x+4y..........................
if there are 5 people per 10000 buses how many will there be
Answers
Answer:
45 x 5 = 225 so 225 students altogether on 5 buses
Step-by-step explanation:
have a good day
Answer:
50,000 people.
Step-by-step explanation:
5 people on each bus.
10,000 buses total.
5 x 10,000 = 50,000
A basketball player made 44 out of 100 attempted free throws. What percent of free throws was made?
Answers
Answer:he has a 44% free throw rate
Step-by-step explanation:
what is the slope of the graph of the equation 4x - 6y=2?
A.-4
B.-1
C.2/3
D.3/2
Answers
2/3 is the slope of the graph of the equation 4x - 6y=2. Option C is correct.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The equation of the graph is 4x - 6y=2
We need to convert this to the slope intercept form y=mx+b
4x - 6y=2
Subtract 4x from both sides
-6y=2-4x
Divide both sides by -6
y=-2/6+4/6x
y=2/3x-2/6
Hence 2/3 is the slope of the graph of the equation 4x - 6y=2
To learn more on slope of line click:
https://brainly.com/question/14511992
#SPJ5
8.5675859
rational or irrational ?
Answers
Answer: irrational
Step-by-step explanation:
Answer:
irrational
Step-by-step explanation:
2 3/8 x 3 3/4 divided by 2 2/3
Answers
Answer:
57/32
Step-by-step explanation:
171/32 divided by 2 2/3
If $5,000 is invested at 6% interest, how much money must be invested at 8% interest so that the total interest from the two investments is $660 after one year?
Answers
Answer:
$4500
Step-by-step explanation:
Simple Interest formula = Principal × Rate × Time
Let the amount of the money invested at 8% Interest = x
Hence:
$5000 × 6% × 1 + x × 8% × 1 = $660
$300 + 0.08x = $660
0.08x = $660 - $300
0.08x = $360
x = $360/0.08
x = $4500
Therefore , the amount that must be invested at 8% interest is $4500
at southeast middle school 16 1/4 % of the students wear braces. what fraction of the students wear braces?
Answers
Answer:
4
Step-by-step explanation:
divide them
Hey there!
16 1 / 4% = 16(4) + 1 = 64 + 1 = 65
65 / 4% = 16.25%
• Percentages usually run out of 100
16.25 / 100
• Finding out the ratio of your given number, multiply the numerator and denominator by the number 4
16.25 * 4 / 100 * 4
16.25 * 4 = 65 (numerator)
100 * 4 = 400 (denominator)
• Equation: 65 / 400
• REDUCE the GIVEN FRACTION (65/400)
• Once when you have the fraction reduced you should have came up with: 13/80 (aka your answer)
• Answer: 13/80 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
i WILL give brainiest
Answers
Answer:
(9t/4)
Step-by-step explanation:
HERE'S UR ANS...FRND...
T×9
= ————
4
9T
= ———
4
I DONT WANT BRAINLIEST....I ONLY WANTED UR SATISFACTION....
HOPE IT HELPS...
If polygon ABCD is moved right 3 and up 2, what would the new coordinates of vertex D?
a) (0,9)
b) (1,0)
c) (4,2)
d) (-3,5)
Answers
HELP PLZ
What connections can we make between finding the slope of a line connecting two points and the distance between those same two points?
Answers
Answer:
Using two of the points on the line, you can find the slope of the line by finding the rise and the run. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run: Slope =riserun Slope = rise run .
Step-by-step explanation:
hope this helps
A tennis camp charges $40 per student for a full-day
camp. The camp runs only if at least 5 students sign
up, and it limits the enrollment to 16 campers a day.
The amount of revenue, in dollars, that the tennis camp
collects is a function of the number of students that
enroll.
The equation R(n)=40n defines this function.
What is the input?
Answers
Answer:
40(5)= $200
Step-by-step explanation:
I think thats right but im not sure
rickroll me
or im gonna give u up
Answers
Answer:
Rickroll
Step-by-step explanation:
Answer:
Step-by-step explanation:
im kakyoin
jojo greatest
Find the length of side AB.
Give your answer to 3 significant figures.
C
410
13.5 cm
A
B
ANSWER:
sin41 × 13.5 = 8.85679
rounded to 3 sig fig
= 8.57
Answers
Answer:
8.86 cm
Step-by-step explanation:
The sine rule shows the relationship between the sides of a triangle and its opposite sides. Sine rule states that given a triangle with side a and opposite angle A, side b and opposite angle B, side c and opposite angle C then:
[tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex]
From the image attached, let AB = x, its opposite angle is 41°. BC = 13.5 cm and its opposite angle is 90° (right angle). Therefore using sine rule:
[tex]\frac{x}{sin(41)} =\frac{13.5}{sin(90)} \\\\x=sin(41)*\frac{13.5}{sin(90)}\\\\x=8.8568\\\\ x=8.86\ cm\ to\ 3\ s.f[/tex]
x = AB = 8.86 cm
Which of the following correctly expresses the number below in scientific
notation?
0.00000628
Answers
Answer:
E. 6.28 x 10^-6
Step-by-step explanation:
2/3x+5=21 pls use shoe work
Answers
[tex]\frac{2}{3}x+5=21\\\frac{2}{3}x=16\\x=16/2/3\\x=16*3/2\\24[/tex]
if 2 polygons are similar what must be true about them
Answers
Answer:
their corresponding side length are poprotional
please thanks me
On a city map 3/4 inch corresponds to 7 1/2 miles bonnie drives from her house to a movie theater and then from a movie theater to a restaurant. On the map the movie theater is 1/2 inch from her house and the restaurant is 3/4 inch from the theater how many miles does Bonnie driven when she gets to the restaurant
A. 1 1/4
B. 9 3/8
C. 10
D. 12 1/2
Answers
Answer:
Option D: [tex]12\frac{1}{2}[/tex] is the correct answer.
Step-by-step explanation:
Given that:
3/4 inches on map are equal to [tex]7\frac{1}{2}[/tex] miles
We will find the unit rate in term of inches.
[tex]\frac{3}{4}\ inches = 7\frac{1}{2}\\\\Unit\ rate = \frac{15}{2}*\frac{4}{3}\ miles\\\\Unit\ rate = 10\ miles\ per\ inch[/tex]
Total distance covered by Bonnie according to map;
Total distance = [tex]\frac{1}{2}+\frac{3}{4} = \frac{2+3}{4}[/tex]
Total distance = [tex]\frac{5}{4}\ miles[/tex]
Actual distance = [tex]\frac{5}{4}*10 = \frac{25}{2}\ miles \\[/tex]
Actual distance = [tex]12\frac{1}{2}\ miles[/tex]
Hence,
Option D: [tex]12\frac{1}{2}[/tex] is the correct answer.
Two dice are rolled in succession. Determine the probability that their sum is 10 or more, given that the first die is a 5 or 6. Show your work.
Answers
The conditional probability is or 1/3
can someone give me an example of transformation of electrical to mechanical energy
ill mark u as brain list
Answers
Answer:
i need this for a challenge
Step-by-step explanation:
What is the value of the function when x = 3?
y =
Answers
Answer:
9, plug 3 in for x and multiply 3(3)
13 = -2 ( y - 4 ) + 3y
Answers
Answer:
5
Step-by-step explanation:
13 = -2y + 8 + 3y
13 = y+8
y = 5
I just need to write the standard form for the equation
Answers
Answer:
wcsvbth5435y4wte3rwth54u3
which is an equation of the line through (-1 -4) and parallel to the line 3x+y=5
Answers
Answer:
y=-3x-7
Step-by-step explanation:
y=-3x+5
-3 stays the same
y=-3x+c
input values
-4=3+c
c=-7
y=-3x-7
Select the correct answer.
What is the solution for x in the equation?
-3x+7X-8 = 34 + 9x-2
OA
L =
OB.
L =
COM
OC.
I = 8
OD.
I = -8
Answers
Answer:
-8
Step-by-step explanation:
-3x+7x-8=34+9x-2
we move the x's to the left and the numbers to the right
4x-9x=32+8
-5x=40
x=-40/5
x=-8
What is the area of the real objet that the scale drawing models
A. 300 square cm
B. 60 square cm
C. 25 square cm
D. 12 square cm
Answers
Answer:
C. 25 square cm
Step-by-step explanation: