A common ratio is basically a ratio of next sequence and the sequence you want
To find a common ratio of geometric sequence, we usually define 'r' as common ratio.
[tex] \displaystyle \large \tt{r = \frac{next \: \: sequence}{the \: \: sequence \: \: you \: \: want} }[/tex]
For example, I want to focus on -14 and the next sequence would be -84.
Hence,
[tex] \displaystyle \large{r = \frac{ - 84}{ - 14} }[/tex]
Thus, r is 6 because both numerator and denominator are negative. negative divides negative = positive.
Or you want to choose -84, then the next sequence would be -504.
[tex] \displaystyle \large{r = \frac{ - 504}{ - 84} }[/tex]
Then r would still be 6. Since both ways have r as 6 and this proves that the sequence is geometric.
Hence, the common ratio is 6.
Write the equation of circle with diameter of 10 units centered at (- 2, 1) .
Answer:
[tex](x+2)^2 + (y-1)^2 = 25[/tex]
Step-by-step explanation:
We want to write the equation of a circle with a diameter of 10 units centered on (-2, 1).
Recall that the equation of a circle has the standard form:
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
Where (h, k) is the center and r is the radius.
Since our diameter is 10, our radius is 5.
And since the center is at (-2, 1), h = -2 and k = 1.
Substitute:
[tex]\displaystyle (x - (-2))^2 + (y - (1))^2 = (5)^2[/tex]
And simplify. Hence, our equation is:
[tex](x+2)^2 + (y-1)^2 = 25[/tex]
In the figure, AOB is a straight line. Find the value of x.
Answer:
x =36
Step-by-step explanation:
The three angles form a straight line which means they add to 180
2x+2x+x = 180
Combine like terms
5x = 180
5x/5 = 180/5
x =36
Answer:
X=36
Step-by-step explanation:
A straight line like the one shown in the image has 180° by one side.
Following that, we should assume that:
2x+2x+x=180°
5x=180°
x=36°
I hope I have helped you.
An aircraft carrier left Hawaii traveling west seven hours before a container
ship. The container ship traveled in the opposite direction going 5 km/h slower
than the aircraft carrier for six hours after which time the ships were 540 km apart.
Find the aircraft carrier's speed.
Answer:
so speed of aircraft carrier is 30. thank you
The speed of an aircraft carrier is 30 km/h.
What is Speed?speed is described as. the pace at which an object's location changes in any direction. Speed is defined as the distance traveled divided by the travel time. Speed is a scalar quantity because it just has a direction and no magnitude.
Given, An aircraft carrier left Hawaii traveling west seven hours before a container ship. The container ship traveled in the opposite direction going 5 km/h slower than the aircraft carrier.
Since,
Speed = distance/time
time is 13 hours, 7 hours before the container ship left then the 6 hours container traveled.
Let "s" be the speed of the aircraft carrier
=> d = 13s
Container ship:
time is 6 hours
speed is 5 km/h slower, so s-5
=> d = 6(s-5)
Since they are going in opposite directions, add up the distances to find how far apart they are
=> 13s + 6(s-5) = 540
Now solve for s-
=> 13s +6s -30 = 540
=> 19s = 570
=> s = 30
therefore, the Aircraft carrier was traveling at the speed of 30 km/h and the container ship at the speed of 25 km/h.
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Solve for p.
5p − 8(6p − 5) = p − 4
p =
Answer:
[tex]p = 1[/tex]
Step-by-step explanation:
[tex]5p - 8(6p - 5) = p - 4[/tex]
[tex] - 43p - 40 = p - 4[/tex]
[tex] - 43p - p = - 40 - 4[/tex]
[tex] - 44p = - 44[/tex]
[tex]p = \frac{ - 44}{-44} [/tex][tex]p = 1[/tex]
Hope it is helpful.....Answer:
[tex] p =\frac{22}{27} [/tex]
Step-by-step explanation:
5p - 8(6p - 5) = p - 4
-5p - 48p + 40 = p - 4
-53p + 40 = p - 4
-53p - p = -4 - 40
-54p = -44
p = 44 ÷ 54
p = 44/54
simplify with factor 2
p = 22/27
f=vu÷v+t,find v if f=20 and u=5
Answer:
v=20/3
See IMAGE FOR SOLUTION
In the given expression f = uv /(v+t) value of v in terms of t is *4/3t.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given an expression f = uv /(v+t)
Also given
f = 20
u = 5
Hence, From the expression
f = uv /(v+t)
=> 20 = 5v/(v + t)
Simplifying in the terms of v
20v + 20t = 5v
15v = -20t
v = -4/3t
Therefore, the value of v in the given expression is -4/3t.
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Line segment JM has endpoints with coordinates 0 and 25 on a number line. Points K and L are on segment JM. K has a coordinate of 5 and point L has a coordinate of 12. Find the probability that a point on JM is placed first on JL and a second point is not placed on KL.
Answer:
D. 216/625Step-by-step explanation:
The length of the segment JM is 25 units.The segment JL is between 0 and 12, so is 12 units.The segment KL is between 5 and 12, so is 7 units.The probabilities for each point:
P(point on JL) = 12/25P(point not on KL) = 1 - 7/25 = 18/25Required probability:
P = 12/25*18/25 = 216/625Correct choice is D
Somebody help me please
Answer:
Proven.
Step-by-step explanation:
please help me hurry this is due tomorrow
- 50 = 6α + 28
Help pls
Answer:
A=13
hope this helped!!!
Answer:
-13
Step-by-step explanation:
-50=6a+28
collect like terms
-50-28=6a
-78=6a
divide both sides by the coefficient of a
-78/6=6a/6
a=-13
5x = y
identify the slope and y intercept for the line
Answer:
the slope is 5
and the intercept is 0
Step-by-step explanation:
Rewrite the following expressions as addition:
-25 + (-32) - 14
-14 - (-45) - 13
Answer:
-53
Step-by-step explanation:
-25-32-14-14+45-13
=53
Answer:
ANS IS -53
AS +45 &-45 WILL GET CANCELLED
AND -14-14-25 WILL GET ADDED
THAT IS -53
HURRY PLEASE HELP. Point J is located at – 4. Points K and L are each 5 units away from Point J. Where are K and L located?
Answer:
It depends in which direction "away" means. If they are five units to the right then the answer should be 1. if they are 5 points away to the left then the answer would be -9.
Step-by-step explanation:
Basically it depends,
if its indicating to the right the equation would be=
-4+5=x
which to do this negative cancells out its positive, so you can just subtract their absolute values. 5-4=1. And to know which symbol it has you just indicate which factor has the greated absolute value. (aka 5 which is positive so the answer should be positive).
-----------------------------
if its to the left then the equation would be=
-4-5= x
(negative four subtracted by four)
and the easier way to do this would be to turn this equation into addition.
the new equation shall be: -4+(-5)=-9 since they are both negative integers the sum should be negative.
pleasee help i'm having a hard time understanding this
Answer:
[tex] \sqrt[3]{12} [/tex]
and
[tex] \sqrt[3]{ \frac{1}{18} } [/tex]
because
[tex] \sqrt[3]{12} \times \sqrt[3]{18} = 6 \\ \\ \sqrt[3]{ \frac{1}{18} } \times \sqrt[3]{18 } = 1[/tex]
Acellus
Complete the data table for the function
f(x) = -x-2 + 2.
Х
-2
-3
-6
-11
Y
[?]
Enter
Answer:
x= -6 —> y= 4
x= -11 —> y= 5
Step-by-step explanation:
x= -6 —> y= 4
[tex]f( - 6) = \sqrt{ - ( - 6) - 2} + 2 \\ = \sqrt{6 - 2} + 2 \\ = \sqrt{4} + 2 \\ = 2 + 2 \\ = 4[/tex]
x= -11 —> y= 5
[tex]f( - 11) = \sqrt{ - ( - 11) - 2} + 2 \\ = \sqrt{11 - 2} + 2 \\ = \sqrt{9} + 2 \\ = 3 + 2 \\ = 5[/tex]
I hope I helped you^_^
The value of the function f(x) for the corresponding x = -6 and x =-11 is equal to 4 and 5 respectively.
The function f(x) = √( -x -2) + 2
The value of x and f(x) are ,
x : -2 -3 -6 -11
f(x) : 2 3 ? ?
Now to find the missing value of f(x) substitute the value of x in f(x) we have,
When x = -6
f(x) = √( -x -2) + 2
⇒ f(x) = √( -( -6) -2) + 2
⇒ f(x) = √(6) -2) + 2
⇒ f(x) = √(4) + 2
⇒ f(x) = 2 + 2
⇒ f(x) = 4
And when x = -11
f(x) = √( -x -2) + 2
⇒ f(x) = √( -( -11) -2) + 2
⇒ f(x) = √(11) -2) + 2
⇒ f(x) = √(9) + 2
⇒ f(x) = 3 + 2
⇒ f(x) = 5
Therefore, the missing values of the function are 4 and 5.
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An object is dropped off a building that is 144 feet tall. After how many seconds does the object hit the ground? (d=16t^2)
wrong= reported.
ty<3
Answer:
after 3 seconds, the object hits the ground.
Hope this helps :)
..A number divided by 5 is 15 how do you right it as a equation
Answer:
75
Step-by-step explanation:
Let's say the unknown number is x
x/5 = 15
x = 15*5
x = 75
Solve the following equation:
14a – (2a + 9) = {(12a - 18)
a =
Answer:
no solution
Step-by-step explanation:
14a – (2a + 9) = (12a - 18)
Distribute the minus sign
14a – 2a - 9 = (12a - 18)
12a -9 = 12a -18
Subtract 12a from each side
12a -9-12a = 12a-18-12a
-9 = -18
This is not a true statement so there is no solution
Point B is on line segment AC. Given AB=4x-6, AC=2x+10, and BC=4, determine the numerical length of AC
Answer:
AC = 22
Step-by-step explanation:
AB + BC = AC , substitute values
4x - 6 + 4 = 2x + 10 , that is
4x - 2 = 2x + 10 ( subtract 2x from both sides )
2x - 2 = 10 ( add 2 to both sides )
2x = 12 ( divide both sides by 2 )
x = 6
Then
AC = 2x + 10 = 2(6) + 10 = 12 + 10 = 22
kennedyfox!!!
You worked 14 hours last week and earned a total of $124 before taxes. Your job as a lifeguard pays $10 per hour and your job as a cashier pays $8 per hour. How many hours did you work at each job
kennedy look, i got my phone back and i wanna talk text me 850 533 1209, sorry anybody that are answering pls dont report im putting extra points ok
Step-by-step explanation:
let :
the job as lifeguard = A
the job as cashier = B
making 2 equations as follows :
(1) A+B = 14 ==> A = 14-B
(2) 10A + 8B = 124
substitute A (equation (1)) into equation (2) :
10(14-B) + 8B = 124
140 -10B +8B = 124
140- 2B = 124
140-124 = 2B
16 = 2 B
B = 8
A = 14-8 = 6
so, as a lifeguard = 6 working hours
and as a cashier = 8 working hours
Answer:
Step-by-step explanation:
Let the lifeguard hours = x
Let the cashier hours= y
x + y = 14
10*x + 8*y = 124 Multiply the top equation by 8 Put it under here.
8x + 8y = 112 Subtract
2x = 12 Divide by 2
x = 6
He worked 6 hours as a lifeguard.
x + y = 14
6 + y = 14 Subtract 6 from each side
y = 14 - 6
y = 8
He worked 8 hours as a cashier.
check
6*10 = 60
8 * 8 = 64
total 124
Determine the ordered pair that satisfies the equation, 5x + 2y = 7.
A
(8. – 33 )
B
(-1,1)
C
(-4,3)
D
(5,2)
E
I don't know yet
Answer:
None of the first 4 do. so I guess the answers E.
Step-by-step explanation:
Look at photo for question ?
Answer:
1/3n - 3<6
n < 27
Step-by-step explanation:
1/3n - 3<6
Add 3 to each side
1/3n -3+3<6+3
1/3 n <9
Multiply by 3
1/3n *3 < 9*3
n < 27
Anyone... l will give BRAINLIEST!!
Answer:
T (6, 5 )
Step-by-step explanation:
Using the section formula
If (x₁, y₁ ) and (x₂, y₂ ) are divided in the ratio m : n , then
( [tex]\frac{nx_{1}+mx_{2} }{m+n}[/tex] , [tex]\frac{ny_{1}+my_{2} }{m+n}[/tex] ) are the coordinates of the internal point
Here (x₁, y₁ ) = A (- 4, 10 ) , (x₂, y₂ ) = B (10, 3) , m : n = 5 : 2
T = ([tex]\frac{2(-4)+5(10)}{5+2}[/tex] , [tex]\frac{2(10)+5(3)}{5+2}[/tex] )
= [tex]\frac{-8+50}{7}[/tex] , [tex]\frac{20+15}{7}[/tex] )
= [tex]\frac{42}{7}[/tex] , [tex]\frac{35}{7}[/tex] )
= (6, 5 )
Please solve both i will give brainliest!!! Love you in advance <3
C = 5/9 (F - 32)...solve for F
Answer:
F = (9/5 ×C) + 32
Step-by-step explanation:
Apply Change of subject
Divide both sides by 5/9
9/5 × C = F - 32
》F = (9/5 ×C) + 32
if hj=7x-27 find the value of x
Answer:
x=7
Step-by-step explanation:
HI + IJ = HJ
3x-5 + x-1 = 7x-27
Combine like terms
4x-6 = 7x-27
Subtract 4x from each side
4x-6 -4x= 7x-27-4x
-6 = 3x-27
Add 27 to each side
-6+27 = 3x-27+27
21 = 3x
Divide by 3
21/3 = 3x/3
7 =x
Answer:
x=7
Step-by-step explanation:
A toy was sent in a box 8 inches long, 5 inches wide, and 15 inches high? What is the volume of the box?
Answer:
8 x 5 x 15 = 600in^3
You are looking at your power bill for the month, you pay 12 cents per kilowatt-hour. Your power bill came out to $76.49 how many KWH of energy were used in house this month?
Divide 170 in the ratio 3.5 , 1.25 , 2.33 please show calculations.
Answer:
84.04, 30.14 and 55.95
Step-by-step explanation:
First you add the ratios together then divide by 170 and mutliply each answer by the answer of 170 divided by the sum of 3.5, 1.25 and 2.33
Answer:
84.04, 30.14 and 55.95
Step-by-step explanation:
→ Add the ratios together
3.5 + 1.25 + 2.33 = 7.08
→ Divide the answer by 170
170 ÷ 7.08 = 24.01129944
→ Multiply the answer by 3.5 , 1.25 , 2.33
3.5 × 24.01129944 = 84.04
1.25 × 24.01129944 = 30.14
2.33 × 24.01129944 = 55.95
What’s the slope of the line?
Answer:
slope = - [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
- [tex]\frac{1}{2}[/tex] x - [tex]\frac{3}{4}[/tex] y = 24 ( multiply through by 4 to clear the fractions )
- 2x - 3y = 96 ( add 2x to both sides )
- 3y = 2x + 96 ( divide terms by - 3 )
y = - [tex]\frac{2}{3}[/tex] - 32 ← in slope- intercept form
with slope m = - [tex]\frac{2}{3}[/tex]
find the exact value without a calculator.
sin 5π/12 = sin 5π/6/2