Answer:
Here,
3
,
(
−
6
)
,
12
,
(
−
24
)
,
...
is the geometric sequn.
w
h
e
r
e
,
1
s
t
t
e
r
m
=
a
1
=
3
and
common ratio
r
=
−
6
3
=
12
−
6
=
−
24
12
=
−
2
and
S
9
=
?
⇒
n
=
9
We know that,
The sum of first n term of Geometric series is :
S
n
=
a
1
(
r
n
−
1
)
r
−
1
Putting ,
a
1
=
3
,
r
=
−
2
and
n
=
9
S
9
=
3
[
(
−
2
)
9
−
1
]
(
−
2
)
−
1
∴
S
9
=
3
[
−
512
−
1
]
−
3
⇒
S
9
=
3
(
−
513
)
−
3
⇒
S
9
=
513
Step-by-step explanation:
Answer:
Step-by-step explanation:
c.r. r=-6/3=-2
[tex]S_{n}=3\frac{(-2)^n-1}{-2-1} =-(-2)^n+1\\let~n\rightarrow \infty\\then S_{\infty} \rightarrow \infty~or~ -\infty[/tex]
please help i really need it.
change the subject of the formula to x
x/6 − 5 = w
Step-by-step explanation:
x/6=w+5
x=6(w+5)
x=6w+30.
hope this helps you.
The value of x is x = 6w + 30
Data;
[tex]\frac{x}{6} - 5 = w[/tex]Subject of FormulaThis is a mathematical terms used to represent a value from an entire equation.
In the given equation, we are given a value required to make x the subject of formula
Step 1
Add 5 to both sides of the equation
[tex]\frac{x}{6}-5 + 5 = w + 5\\\\\frac{x}{6} = w + 5[/tex]
Step 2
Cross multiply both sides
[tex]\frac{x}{6} = w + 5\\\frac{x}{6} = \frac{w+5}{1} \\x(1) = 6(w+5)\\x = 6(w+5)\\x = 6w + 30[/tex]
From the calculations above, the value of x is x = 6w + 30
Learn more on subject of formula here;
https://brainly.com/question/790938
"find 48 divided by 2 using the distributive property"
Step-by-step explanation:
48 ÷ 2 = ...
= (12 ÷ 2) + (12 ÷ 2) + (12 ÷ 2) + (12 ÷ 2)
= 6 + 6 + 6 + 6
= 12 + 12
= 24
try these.Evaluate the following logarithms.
Answer:
Reminder: [tex]log _a x[/tex] answers the question: "what power do I have to raise a to in order to get x?"
Thus said.
[tex]1. \ 64= 2^6 = 4^3 \implies log_464=3\\2. \ 5^1 = 5 \implies log_55 = 1\\3.\ 3^1=3; \ 2^1=2 \implies Log_33 + log_22 = 1+1=2\\4.\ 5^1=5; \ 8^1=8 \implies log_55 - log_88=1-1=0\\5. \ 8=2^3; 32=2^5 \implies log_28+log_232 = 3+5=8[/tex]
Last one, if you already talked about log properties, can be handled as:
[tex]log_28+log_232= log_2(8\times32) = log_2256 =8\ (256=2^8)[/tex]
please explain and answer it
8√21 cm² is the area
hope it helps you
please mark as brainlliest!!
Solve for z.
5.8 + 1 = z
Answer:
5.8 + 1 = z
6.8
Step-by-step explanation:
There are no variables in this equation. So you just add 5.8 + 1
Answer:
5.8+1=6.8
Step-by-step explanation:
'z' is a variable representing an unknown number. In this case, z is the answer, since the equation is 5.8+1=z. All you do is add 5.8 and 1 like this:
5.80
+1.00
_____
6.80
or 6.8
6.8=z
Note: The zero after the numbers does not change the answer.
Hope this helped! :)
Sort the expressions into the correct categories based on their value. Note that some expressions may not belong to any of the categories.
(help with the circled ones)
Answer:
the answer for (9squared divided by 3) - ( 3 x 5 ) = 12
Step-by-step explanation:
(9squared divided by 3) - ( 3 x 5 ) = 12
9x9 = 81
81 ÷ 3 = 27
27 - (3x5)
3 x 5 = 15
27 - 15 = 12
so it goes in the 12 box
4squared - ( 2 x 3 )
4squared = 4 x 4
4 x 4 = 16
16 - (2 x 3)
2 x 3 = 6
16 - 6 = 10
so it goes in the 10 box
PLEASE HELP!
Using the diagram and information below to create and solve an equation. Don’t forget to show all of your work and label your answer.
m∠2 = (y + 10)° and m∠4 = (3y – 24)°
What is m∠2?
Answer:
m∠2 = 17°
Step-by-step explanation:
y + 10 = 3y - 24
34 = 2y
17 = y
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!9
Answer:
A. 1/5
Step-by-step explanation:
1. The formula to find the slope of a line given two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].
y_2 = y-coordinate of point 2y_1 = y-coordinate of point 1x_2 = x-coordinate of point 2x_1 = x-coordinate of point 12. (Solving)
[tex]\frac{(3)-(2)}{(4)-(-1)}[/tex] [tex]\frac{1}{4+1}[/tex] [tex]\frac{1}{5}[/tex]Therefore, the answer is A. 1/5.
[tex]\huge \bf༆ Answer ༄[/tex]
Consider two points (-1 , 2) and (4 , 3)
Slope (m) of the graph is : -
[tex] \sf \dfrac{y2 - y1}{x2 - x1} [/tex][tex] \sf\dfrac{3 - 2}{4 - ( - 1)} [/tex][tex] \sf \dfrac{1}{4 + 1} [/tex][tex] \sf\dfrac{1}{5} [/tex][tex]꧁ \: \large \frak{Eternal \: Being } \: ꧂[/tex]
Mr pilgrim needs fencing for his turkey coop the perimeter is 240 yards the length is 16 yards longer than the width
Based on the information given, the length will be 68 yards while the value of the width will be 52 yards.
Width = wLength = w + 16The calculation will go thus:
Perimeter = 2l + 2w
240 = 2(w + 16) + 2w
240 = 2w + 32 + 2w
240 = 4w + 32
4w = 240 - 32
4w = 208
w = 208/4 = 52
Therefore, the length will be:
= w + 16 = 52 + 16 = 68
Read related link on:
https://brainly.com/question/25748983
Which of the following is(are) the solution(s) to |11x +3 = 6 ?
Please answer this question
Answer:
12 12 18 1816 2888
Step-by-step explanation:
Just add on top and subtract on bottom
PLZ HELP ASAP ILL GIVE 20 POINTS!
A local store is selling fresh tuna. The table below shows the price for the amount of tuna. Amount of tuna (in pounds) 2, 6, 7 price (in dollars) 12, 30, 35.
predicted price for 9 pounds of tune?
Answer:
Its not always the same, 45 dollars
Step-by-step explanation:
Here is why its not always the same:
12/2 = 6 dollars/pound
30/6 = 5 dollars/pound
35/7 = 5 dollars/pound
we can see that they are not the same price as they vary.
For 9 pounds we can assume that the price would continue to be 5 dollars/pound:
x/5 = 9
x=5*9
x= 45
if 9^x = 1/27, find the value of x
[tex]9^x = \dfrac 1{27}\\\\\implies (3^2)^x = \dfrac{1}{3^3}\\\\\implies 3^{2x} = 3^{-3}\\\\\implies 2x = -3 \\\\ \implies x = -\dfrac 32[/tex]
I will give brainliest
Answer:
His average monthly payment is $730.83
Step-by-step explanation:
700+650+750+760+785+880+700+725+700+750+720+650=8,770
8,770/12 = 730.83
Find the missing side of the right
triangle.
7
4
Х
x= [?]
Enter the number that belongs in the green box,
Step-by-step explanation:
using Pythagoras theorem,
(hypotenuse)² = (perpendicular)² + (base)²
given that, hypotenuse =x, perpendicular =7, base =4
(x)² = 7² + 4²
(x)² = 49 + 16
x = √65
[tex] \frac{2 + 3i}{3 + 4i} [/tex]
find the value quickly
[tex]\frac { 2 + 3 i } { 3 + 4 i }[/tex]
[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{\left(3+4i\right)\left(3-4i\right)} [/tex]
[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{3^{2}-4^{2}i^{2}} [/tex]
[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{25} [/tex]
[tex]=\frac{2\times 3+2\times \left(-4i\right)+3i\times 3+3\left(-4\right)i^{2}}{25}[/tex]
[tex]=\frac{2\times 3+2\times \left(-4i\right)+3i\times 3+3\left(-4\right)\left(-1\right)}{25} [/tex]
[tex]=\frac{6-8i+9i+12}{25} [/tex]
[tex]=\frac{6+12+\left(-8+9\right)i}{25} [/tex]
[tex]=\frac{18+i}{25} [/tex]
[tex]=\boxed{\frac{18}{25}+\frac{1}{25}i=0.72+0.04i}[/tex]
_______
Hope it helps :) ⚜
Someone plz help me :(
Answer:
B) 7 - 5x
Step-by-step explanation:
7 - 5x is the difference between the number 7 and the product of 5 and 'x'
5/8 divided by 3/5=????????????????????????????
Answer:
0.15
Step-by-step explanation:
Answer:
1 1/24
Step-by-step explanation:
Pls give brainly if right :) also not 11 its 1u 1/24
why (0.0) (3.4) (6.8) (6,12) not a function
Answer:
Step-by-step explanation:
Look at the first elements of the four points: {0, 3, 6, 6}. The element 6 appears twice and is associated with two different second elements: {8, 12}. That tells us immediately that this is not a function.
Not sure on this. (Im really bad at math)
Answer:
13. C
14. B
Step-by-step explanation:
yeah-ya........... right?
Easy question for some points 2x2-6+4
Answer:
2
Step-by-step explanation:
2 x 2 - 6 + 4
4 - 6 +4
4 - 2
2
Miss Jenkins owns an electronics shop. She order 27 laptops at £413 each. Miss Jenkins sells the 27 laptops for £600 each Work out the profit.
Answer:
You need to find the difference to show how much profit she makes. Subtract her cost of $413.00 from her selling price of $600.00 it will give you the difference, which is her profit.
Step-by-step explanation:
Answer:
she got 5049$ back in profit
Step-by-step explanation:
First count how much numbers are away from 413 to 600 you get 187
Next you Multiply 187 x 27 = 5049$
solving systems of equations in three variables
Answer:
Option B: (x= -8, y=10, z=-6)
Step-by-step explanation:
2x + 4y + 3z = 6 ... eq.(1)
5x + 8y + 6z = 4 ... eq.(2)
4x + 5y + 2z = 6 ... eq.(3)
From eq.(1),
2x= 6 - 4y - 3z
x= (6-4y-3z)/2 ... eq.(4)
Putting x as (6-4y-3z)/2 in both eq.(2) and eq.(3)
In eq.(2),
5[(6-4y-3z)/2] +8y +6z =4
Multiplying through by 2
5(6-4y-3z) + 16y + 12z = 8
30-20y-15z+16y+12z = 8
22= 4y + 3z ... eq(5)
In eq.(3),
4[(6-4y-3z)/2] +5y +2z = 6
2(6-4y-3z) +5y + 2z =6
12-8y-6z + 5y +2z = 6
6= 3y + 4z ... eq.(6)
Multiplying eq.(5) and eq.(6) by 3 & 4 respectively
66=12y + 9z ... eq(8)
24=12y + 16z ... eq(9)
Subtracting eq(8) from eq(9)
42= -7z
z= -42/7
z = -6
Putting z as -6 in eq.(5)
22= 4y + 3(-6)
22= 4y -18
4y = 40
y = 40/4
y = 10
Putting y as 10 and z as -6 in eq(4)
x = [6 - 4(10) - 3(-6)]/2
x = (6 - 40 - 18)/2
x = -16/2
x = -8
x= -8, y= 10 , z= -6
Which point is a solution for the inequality 3x – 2y < 5
a (3, 2)
b (2, 3)
c (5, 2)
d (8, 5)
how do I solve this?
I already Have the answer but can u guys show the work?
Find the surface area of each prism
Answer:
3. SA = 876 [tex]in^{2}[/tex]
4. SA = 161 [tex]ft^{2}[/tex]
Step-by-step explanation:
Number 3.
To find the total Surface Area, we need to know all the side lengths which are used to multiply to find the Area of each side. Then add the areas of all the sides to get the total SA.
To find side lengths:
Assuming the back triangle (24, 10 in) is congruent to the front triangle (26in.): First, Knowing the Pythagorean triples or the Pythagorean theorem, we can conclude that the short bottom leg in the triangle on the right (6, 10, x in) is 8 in. Secondly, to find the leg of the triangle with a hypotenuse of 24 inches, we subtract: 26 - 8 = 18 in.
Now we know all the (needed) side lengths.
To find the Surface Area:
Total SA = (12 x 26) + (12 x 24) + (12 x 10) + 2 x ((6 x 18 x 0.5) + (6 x 8 x 0.5))
= 312 + 288 + 120 + 2 x (54 + 24) = 720 + (2 x 78)
= 876 [tex]in^{2}[/tex]
Number 4.
Same Idea: To find the Total SA, we need to know all the side lengths which are used to multiply to find the Area of each side. Then add the areas of all the sides to get the total SA.
Assuming the back triangle (7ft) is congruent to the front triangle (5x5 ft), then in this case, we already know all the needed side lengths.
To find the Surface Area:
Total SA = 2 x (8 x 5) + 2 x (5 x 5 x 0.5) + (7 x 8)
= 80 + 25 + 56
= 161 [tex]ft^{2}[/tex]
simplify this addition x+(-x)+r
Solve the system of linear equations by elimination.
3x−30=y
7y−6=3x
Solve the system of linear equations by elimination.
3x−30=y
7y−6=3x
the greatest common factor of 12x^2y^3 and 24xy^2 is
Answer: (12xy^2)
Step-by-step explanation:
12x^2y^3
(12xy^2)*(xy)
24xy^2
(12xy^2)*(2)
The greatest common factor of the expressions 12x²y³ and 24xy² will be 12xy².
What is the greatest common factor?Simply said, it is the biggest common element. The highest consistent element in the above example is 15, making 15 the greatest common factor amongst 15, 30, and 105. The biggest chunk of the common factors is called the "Greatest Common Factor" (of two or more numbers).
The expressions are given below.
12x²y³ and 24xy²
The factor of the expression 12x²y³ is given as,
12x²y³ = 12 × x × x × y² × y
The factor of the expression 24xy² is given as,
24xy² = 2 × 12 × x × y²
The common factors in both expressions are 12, x, and y². Then the greatest common factor will be given as,
⇒ 12 × x × y²
⇒ 12xy²
The best normal component of the articulations 12x²y³ and 24xy² will be 12xy².
More about the greatest common factor link is given below.
https://brainly.com/question/11221202
#SPJ2
Mr. Holland is leaning a ladder against the side of his house to repair the roof. The top of the ladder reaches the roof, which is 3 meters high. The base of the ladder is 4 meters away from the house, where Mr. Holland's son is holding it steady. How long is the ladder? meters
Answer:
use Pythagoras theorem a^2+b^2 = c^2 where c is the longest side of the triangle (hypotenuse)
3^2 + 4^2 = c^2 (c is the length of the ladder)
9 + 16 = c^2
25 = c^2
c = √25 (square root)
c = 5
Answer:
blahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
what goes around always come back around