Step-by-step explanation:
given :
120, 60, 30, _, _, _
find r!
solution :
r = 60/120 = ½.
=> 120,60,30, 15, 15/2 , 15/4 , ...
Step-by-step explanation:
Calcute the ratio :
r = Un/Un-1
r = 60/120
r = ½
Calculate 4th term :
Un = ar^n-1
U4 = 120 × ½^4-1
U4 = 120 × ½³
U4 = 120 × 0.125
U4 = 15
Calculate 5th term :
Un = ar^n-1
U5 = 120 × ½^5-1
U5 = 120 × ½⁴
U5 = 120 × 0.0625
U5 = 7.5
Calculate 6th term :
Un = ar^n-1
U6 = 120 × ½^6-1
U6 = 120 × ½⁵
U6 = 120 × 0.03125
U6 = 3.75
What is the equation of the linear model in point-slope form that includes the point (-3, 1) and has a slope of 3?
Please show work for brainliest
Answer:
A) You would use the two points that are closest to the graphed line
(2,7) and (8,13)
B) Slope = change in Y over the change in X:
Slope = (13-7) / (8-2) = 6/6 = 1
Slope = 1
c) Point slope is written as y -y1 = m(x-x1) where m is the slope y1 is the first Y value and x1 is the first x value.
Equation is: y-7 = x-2
d) To rewrite y -7 = x-2 in slope intercept form, you need to isolate y.
To isolate Y add 7 to both sides:
y = x +5
Step-by-step explanation:
The equation of line which passes through point (-7,-2) and having slope 3 is y = 3x + 10.
What is Algebraic expression ?
Algebraic expressions are numbers expressed using letters or alphabets without specifying their values. Algebra taught us how to express unknown values using letters such as x, y, and z. There can also be a single value that is placed before and multiplied by a variable in an algebraic expression in addition to these letters, which are called variables.
Here, it is given that line passes though point (-3,1) and having slope of 3.
Now, Let us find the equation of the line using point-slope equation of line :
(y-y₁) = m(x-x₁)
Substituting all the values in above equation to get the equation of line :
(y-1) = 3(x-(-3))
y -1 = 3x + 9
y = 3x + 9 + 1
y = 3x + 10
Therefore, the equation of line which passes through point (-7,-2) and having slope 3 is y = 3x + 10.
check and know more about line here :
brainly.com/question/14914699
#SPJ5
copy the picture and put a dot on where i put it
Answer:
Step-by-step explanation:
I Hope This Help
Answer:
hERE
Step-by-step explanation:
no of tulips is 2 more than thrice the amount of tulips express in a linear equation
Answer:
x = 3x + 2Step-by-step explanation:
Let the number of tulips is x, then the equation is:
x = 3x + 2Will mark brainliest, plss help
Answer
C and A
Step-by-step explanation:
Someone Smart Help With Math!
Answer:
-48. You multiply the figures
Answer:
B. -48
Explanation:
Simply -16 multiplied by 3. When one negative number is multiplied, the product is a negative. When two negative numbers are multiplied together, the product is positive.
7 divided by 55, but every step must be show
Answer:
Step 1:
Start by setting it up with the divisor 7 on the left side and the dividend 55 on the right side like this:
7 ⟌ 5 5
Step 2:
The divisor (7) goes into the first digit of the dividend (5), 0 time(s). Therefore, put 0 on top:
0
7 ⟌ 5 5
Step 3:
Multiply the divisor by the result in the previous step (7 x 0 = 0) and write that answer below the dividend.
0
7 ⟌ 5 5
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (5 - 0 = 5) and write the answer below.
0
7 ⟌ 5 5
- 0
5
Step 5:
Move down the 2nd digit of the dividend (5) like this:
0
7 ⟌ 5 5
- 0
5 5
Step 6:
The divisor (7) goes into the bottom number (55), 7 time(s). Therefore, put 7 on top:
0 7
7 ⟌ 5 5
- 0
5 5
Step 7:
Multiply the divisor by the result in the previous step (7 x 7 = 49) and write that answer at the bottom:
0 7
7 ⟌ 5 5
- 0
5 5
4 9
Step 8:
Subtract the result in the previous step from the number written above it. (55 - 49 = 6) and write the answer at the bottom.
0 7
7 ⟌ 5 5
- 0
5 5
- 4 9
6
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
what is the GCM of 9 and 7
Answer: See explanation
Step-by-step explanation:
Do you mean the greatest common factor (GCF), or the lowest common multiple (LCM).
If you mean GCF, then it is 1 because 7 is a prime number and has two facotrs (1 and itself) and since 9 isn’t divisible by 7, the GCF must be 1.
If you mean the LCM, the answer is 63. Using prime factorisation, we find the lowest prime factor of both numbers:
9 = 3^3
7= 7^1
Then, we multiply these together to give 63.
You cannot have a GCM, because you can’t find a greatest common multiple as numbers go on forever.
I hope this helps!
What is the length of time
passed from 7:30 a.m. to 4:30 p.m.?
Answer:
9 hours
Step-by-step explanation:
12 minus 7.5 equals 4.5 add 4.5 from 4:30 you get 9
Helppp meeee pleaseeee !
Answer:
51.2 degrees Celsius
Step-by-step explanation:
what is the value of c such that the line y=2x+3 is tangent to the parabola y=cx^2
The value of [tex]c[/tex] such that the line [tex]y = 2\cdot x + 3[/tex] is tangent to the parabola [tex]y = c\cdot x^{2}[/tex] is [tex]-\frac{1}{3}[/tex].
If [tex]y = 2\cdot x + 3[/tex] is a line tangent to the parabola [tex]y = c\cdot x^{2}[/tex], then we must observe the following condition, that is, the slope of the line is equal to the first derivative of the parabola:
[tex]2\cdot c \cdot x = 2[/tex] (1)
Then, we have the following system of equations:
[tex]y = 2\cdot x + 3[/tex] (1)
[tex]y = c\cdot x^{2}[/tex] (2)
[tex]c\cdot x = 1[/tex] (3)
Whose solution is shown below:
By (3):
[tex]c =\frac{1}{x}[/tex]
(3) in (2):
[tex]y = x[/tex] (4)
(4) in (1):
[tex]y = -3[/tex]
[tex]x = -3[/tex]
[tex]c = -\frac{1}{3}[/tex]
The value of [tex]c[/tex] such that the line [tex]y = 2\cdot x + 3[/tex] is tangent to the parabola [tex]y = c\cdot x^{2}[/tex] is [tex]-\frac{1}{3}[/tex].
We kindly invite to check this question on tangent lines: https://brainly.com/question/13424370
2c–8°, 3c–14°, and c+15°
solve for c
Answer:
Simplifying
c + -2 = 3c + 14
Reorder the terms:
-2 + c = 3c + 14
Reorder the terms:
-2 + c = 14 + 3c
Solving
-2 + c = 14 + 3c
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '-3c' to each side of the equation.
-2 + c + -3c = 14 + 3c + -3c
Combine like terms: c + -3c = -2c
-2 + -2c = 14 + 3c + -3c
Combine like terms: 3c + -3c = 0
-2 + -2c = 14 + 0
-2 + -2c = 14
Add '2' to each side of the equation.
-2 + 2 + -2c = 14 + 2
Combine like terms: -2 + 2 = 0
0 + -2c = 14 + 2
-2c = 14 + 2
Combine like terms: 14 + 2 = 16
-2c = 16
Divide each side by '-2'.
c = -8
Simplifying
c = -8
Step-by-step explanation:
Line k passes through the point (6, -7) and has a slope m=-= 2 Which is the equation of a line that is parallel to line k and passes through the point (-4, 9)?
Answer:
k = -2x + 1
Step-by-step explanation:
Assuming slope is -2 (and not -=2)
9 = -4(-2) + b
9 = 8 + b
b = 1
and y =
4
4
Which is the solution of the equation (4y - 3)2 = 12?
3+2v3
3-23
a. y =
3+2V2
b. y =
and y =
-3-2V2
4
63
-63
y=-
and y =
4
4
3v2
-3/
and y =
4
C.
d. y =
4
4
Answer
10
Step-by-step explanation:
A unit to express volume is?
Answer:
Please mark Brian List The answer is Cubic units
Answer:
The unit used to express volume is cubic units
any unit but it should be cubic
like cm³ ml³
How many 4-digit natural numbers are there?
Answer:
9000
4-digit numbers..
452 x 58 = 3616 + 3400 =
362 x 92 = 544 + 280 =
1) 452 x 58 =26216
2) 3616 + 3400 = 7016
3) 362 x 92 = 33304
4) 544 + 280 = 824
Hope this helped you- have a good day bro cya)
Mr.and Mrs. Hawkins have a budgeted $500 from Marion's graduation. the rent is $150.how much can they spend per person on food if each of the 30 guest gets $2.50 group photos.
Answer:
45
Step-by-step explanation:
45! £€#^_#÷5€£¥¥*^
Which situation results in a final value of zero?
the overall change in temperature when the temperature goes from -10°F to 10°F
the total profit made when a person buys an item for $3 and then sells the item for $3
the overall change in altitude of a hot air balloon after rising 21 kilometers from sea level
the total distance a person travels when he bikes 5 miles to school and then bikes 5 miles back home
Determine the place value of the digit 3 in the whole number. 30,500,421
Answer:
30,000,000 or Thirty million -------> Ten millions place
Step-by-step explanation:
Hope this helps!
help me please anyone please
Answer:
b=5 m
Step-by-step explanation:
3. Find the sum of TU and OL.
Answer:
18
Step-by-step explanation:
by similarity of triangles TYU and OYL we have
[tex]x + 2 = 2(2x - 14) = 4x - 28 \\ 3x = 28 + 2 = 30 \\ x = 10[/tex]
then
TU=6, OL=12
Al desarrollar (2x + y)5, se obtiene
solve the fallowing system of equations for x
x+2y=4
x-2y=12
Step-by-step explanation:
x+2y=4
x-2y=12
______ ( add both equation)
2x = 16
x= 16/2
x= 8
Hope it helps ya
can one of you unhelpful users answer the question without putting links as a d a m n answer?
1. A line goes through the points (1, 6) and (–2, 8). Write the equation of the line in Point-Slope form. Show your work algebraically for full credit.
2. A line goes through the points (1, 6) and (–2, 8). Write the equation of the line in Slope-intercept form. Show your work algebraically for full credit. Hint: this is the same line as in #1.
Answer:
1) [tex]y-6=-\frac{2}{3} (x-1)[/tex] and 2) [tex]y=-\frac{2}{3} x+\frac{20}{3}[/tex]
Step-by-step explanation:
Ikr the bots are annoying.
Point-slope form is written as: [tex]y-y_1=m(x-x_1)[/tex]
Slope intercept form is written as: [tex]y=mx+b[/tex]
We also need to find the slope before putting it in this form, which can be done by [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
1) Points given are (1,6) and (-2,8)
Slope: [tex]m=\frac{8-6}{-2-1} =-\frac{2}{3}[/tex]
You can choose either of the two points to put into the formula. I just chose (1,6)
Answer: [tex]y-6=-\frac{2}{3} (x-1)[/tex]
2) Same points as before and we have the same slope as before. All we need is to find the y intercept which is our b in the equation. You can easily do this by plugging in a point and solving for b. I will choose point (1,6) again.
[tex]6=-\frac{2}{3} (1)+b[/tex]
[tex]6=-\frac{2}{3} +b[/tex]
[tex]6+\frac{2}{3}=-\frac{2}{3} +\frac{2}{3} +b[/tex]
[tex]b=6+\frac{2}{3}=\frac{20}{3}[/tex]
Answer: [tex]y=-\frac{2}{3} x+\frac{20}{3}[/tex]
How do I answer that question
Answer:
9
Step-by-step explanation:
7³÷7⁷=9
it is correct right?
[tex]\sf 500+600+500[/tex]
Answer:
1,600
Step-by-step explanation:
pls brainliest plss
The area of a rectangle garden is 4158m^2. If the width of the garden is 54m, what is its length?
Answer:
Step-by-step explanation:314
Answer:
length-77m
Step-by-step explanation:
since we already know the area which is 4158m² and width which is 54m we will do the opposite of multiplication to find the length which is division you divide 4158 by 58 and we get 77m
On a given day, the exchange rate from US dollars to Australian dollars was 1 US dollar = 1.31 Australian dollar. About how much could you get in Australian dollars if you exchanged $560 US dollars on that day?
Answer:
733.6
Step-by-step explanation:
I did it
8.
Look at the triangle below. Which of the following statement is true?
Q
7
6
R
5
A
B.
ZPis the smallest angle.
ZQis the largest angle.
ZR is the largest angle.
ZR is the smallest angle.
C.
D.
Answer:
b
Step-by-step explanation:
Plz help it’s due tonight!!!
Answer:
T = N
Step-by-step explanation: