Answers
Answer:
a₁ = 3
Step-by-step explanation:
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]
where a₁ is the first term and r the common ratio
Here [tex]S_{6}[/tex] = 189 and r = 2, thus
[tex]\frac{a_{1}(2^{6}-1) }{2-1}[/tex] = 189, that is
a₁( 64 - 1) = 189
63a₁ = 189 ( divide both sides by 63 )
a₁ = 3
Related Questions
the ratio of adults to children in a schoolyard is 2 to 23. if there are eight adults in the schoolyard, how many children are there?
Answers
Answer:
92
Step-by-step explanation:
If the ratio of adults to kids is
2:23
it will also be equal as
8:92
Multiplying each half times 4!
the slope of the line below is 2. use the labeled point to find a point-slope equation of the line. (1, 9)
Answers
Answer:
Step-by-step explanation:
y - 9 = 2(x - 1)
y - 9 = 2x - 2
y = 2x + 7
Please answer the question stated below
Answers
Answer:
$252
Step-by-step explanation:
We need to find 30 percent of 400 dollars. Thirty percent can be written as 30/100, or 0.3.
Multiply 400 by 0.3, and we get $120. Since $120 is 30% of 400, we subtract 400 by 120. This gives us $280.
$280 is now the sale price. We need to find 10% of 280. Multiply 280 by 0.1, which gives us $28. This amount is taken off of the sale price, so we need to subtract 28 from 280.
280-28 is $252. This is the final price she will pay.
An oil company fills 1 over 12 of a tank in 1 over 3 hour. At this rate, which expression can be used to determine how long will it take for the tank to fill completely? (5 points)
1 over 12 ⋅ 3 hours
1 over 3 ⋅ 12 hours
1 over 3 ⋅ 1 over 12 hours
3 ⋅ 12 hours
HELP ASAP U WILL GET BRAINLIEST
Answers
f(x)=x^2
g(x) = (x– 9)^2 +3
We can think of g as a translated (shifted) version of f.
Answers
Answer:
To get the function g, shift f up by 3 units and to the right by 9 units.
Step-by-step explanation:
The given functions are
[tex]f(x)=x^2[/tex]
[tex]g(x)=(x-9)^2+3[/tex]
If f(x) is a parent function, then g(x) can be written in the form of f(x) as
[tex]g(x)=f(x-9)+3[/tex] ...(1)
The translation is defined as
[tex]g(x)=f(x+a)2+b[/tex] ... (2)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
On comparing (1) and (2), we get
[tex]a=-9,b=3[/tex]
It means, to get the function g, shift f up by 3 units and to the right by 9 units.
Answer:
To get the function g, shift f up by 3 units and to the right by 9 units.
Step-by-step explanation:
6. Given the function f(x) = –5x + 2, find the range of f(x) for x = –1, 0, 1.
options:
A. –7, –2, 3
B. 7, 2, 3
C. –7, –2, –3
D. 7, 2, –3
Answers
Answer:
it is D = 7, 2, -3
Step-by-step explanation:
step 1
-5 x -1 + 2 = 7
step 2
-5 x 0 + 2 = 2
step 3
-5 x 1 + 2 = -3
hope this help's
Answer: D = 7, 2, -3
Step-by-step explanation:
Given that 6 > –2, which statements are true? Check all that apply.
(2)(6) > (–2)(2)
StartFraction 6 over 2 EndFraction less-than StartFraction negative 2 over 2 EndFraction
(–2)(6) > (–2)(–2)
StartFraction 6 over negative 2 EndFraction less-than StartFraction negative 2 over negative 2 EndFraction
(2)(6) < (–2)(2)
StartFraction 6 over 2 EndFraction less-than StartFraction negative 2 over 2 EndFraction
Answers
Answer:
1,4,6, are the answers
Step-by-step explanation:
Answer:
the first, the fourth and the sixth
Step-by-step explanation:
i just did it
what does BC equal ?
Answers
Answer:
28
Step-by-step explanation:
bc = df x 2
14 x 2 = 28
I hope this helps
Ms. Wolfram's compost bin used for her garden is shaped like a rectangular prism. The bin is 4 inches long, 18 inches wide, and 9 inches tall. Ms. Wolfram has to fill 20% of the bin with brown material, like leaves, and 30% of the bin with green material, like vegetable scraps. What are the volumes of greens and
browns Ms. Wolfram needs to put in the bin? Please state how you got your answer
Green Material:
Brown material:
Answers
Ms. Wolfram should ask her husband Stephen, who's an incredible mathematician and computer scientist who's given the world a great gift in the website Wolfram Alpha which can answer all your math questions and more.
Anyway the volume of the bin is length times width times height,
V = 4 × 18 × 9 = 648 cubic inches
So the volume of brown is 20 % of that
B = 20% of V = .2 × 648 = 129.6 cubic inches
The volume of green is 30%,
G = 30% of V = .3 × 648 = 194.4 cubic inches
Answer: Green 194.4 cubic inches, Brown 129.6 cubic inches
Amelia had 28 seashells. Then, she collected 11 more seashells. After that, she gave S seashells to her little sister. Which of the following shows how many seashells she has currently?
Answers
Answer:
39 - s
Step-by-step explanation:
she has 28 she finds 11 more (28+11) and she gives s amount away (28+11-s) simplify 39 - s
30 POINTS!!!!!Which of the following expressions has a value that is less than - 1/2 ? Select all that apply.
A + B
0 - E
B + D
E - F
C - A
Answers
Answer:
2, and 4 and 5 are possible solutions.
Step-by-step explanation:
It's not confirmed that 4 and 5 are, but they could be. 2 is a definite, unless E=.002 or something like that.
F(x) = x^2, g(x) = 2/3 x^2 comparison
Answers
Answer:
g(x) is a vertical compression of f(x)
Step-by-step explanation:
Equation of graph 1 :[tex]f(x)=x^2[/tex]
Equation of graph 2 :[tex]g(x)=\frac{2}{3}x^2[/tex]
f(x)→a f(x)
Its is case of vertical stretch or compression
Vertical stretch if |a|>1
Vertical compression if 0<|a|<1
f(x)→a f(x)
So, [tex]x^2[/tex] →[tex]\frac{2}{3}x^2[/tex]
So, [tex]a= \frac{2}{3}=0.67[/tex]
So,0<|a|<1
So,It is a case of vertical compression
So, g(x) is a vertical compression of f(x)
Can someone please tell me how to find the value of x.
Answers
Answer:
2.547 = x
Step-by-step explanation:
tan 23 = x/6 Use this equation to find the value of x
0.4245 = x/6 Multiply both sides by 6
2.547 = x
Only one QUESTION I NEED HELP SO BAD I WILL MOST DEFINITELY GIVE BRAINLIEST AND 30 POINTS PLEASE IT'S DUE TODAY
Answers
Answer:
We cannot have a single point of solution
Step-by-step explanation:
When the boundary lines are parallel, we can have no solution, or infinite solutions. We cannot have a single point of solution
Answer:
I believe there is no single solution
Which equation describes the locus of points 5 units from points (3, -4)?
A) (x+3)^2 + (y-4)^2=5
B) (x-3)^2 + (y+4)^2=5
C) (x-3)^2 + (y+4)^2=25
D) (x+3)^2 + (y-4)^2=25
***YOU DON'T HAVE TO EXPLAIN***
Answers
Answer:
I think the D number is correct(squaring on both side)
P
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Z
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E
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P
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!
!
!
Answers
Answer:
slope = - 4
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = - 1, 22) and (x₂, y₂ ) = (1, 14) ← 2 ordered pairs from the table
m = [tex]\frac{14-22}{1-(-1)}[/tex] = [tex]\frac{-8}{2}[/tex] = - 4
using the method of completing the square to solve the quadratic equation ::
x^2-20x+24=0
which number would have to be added to "complete the square"?
Answers
Answer:
100 should be added to 'complete the squre'
Step-by-step explanation:
[tex] {x}^{2} - 20x + 24 = 0 \\ ( {x}^{2} + 2 \times 10 \times x + {10}^{2}) - {10}^{2} + 64 = 0 \\ {(x - 10)}^{2} - 100 + 64 = 0 \\ {( x - 10)}^{2} - 36 = 0 \\ {(x - 10)}^{2} = 36 \\ (x - 10) = \pm 6 \\ x = 10 \pm 6 \\ x = 10 + 6 \: \: or \: \: x = 10 - 6 \\ x = 16 \: \: or \: \: x = 4[/tex]
Find the value of y.
Answers
Answer:
Step-by-step explanation:
DB=√(y²-25)
again DB=√(x²-36)
so √(y²-25)=√(x²-36)
squaring
y²-25=x²-36
x²=y²-25+36
or x²=y²+11
also x²+y²=(6+5)²
x²+y²=121
y²+11+y²=121
2y²=121-11
2y²=110
y²=110/2=55
y=√55
Find two consecutive whole numbers that square root 2 lies between.
Answers
Answer:
1 can be written as √1 and 2 can be written as √4 and because 1 < 2 < 4, our answer is 1 and 2.
i really need an answer fast
Answers
x=-7
We can write them both like functions like this
A= 5x -4
B= 3x +8
Where
x=input
A=Output A
B=Output B
We want the output of A 3 times the output of B this can be written like this:
A= 3b
we replace with the functions
5x-4 = 3(3x+8)
solve for x and you get -7
The point-slope form of the equation of the line that passes through (-9, -2) and (1, 3) is y– 3 = {(x - 1). What is the
slope-intercept form of the equation for this line?
Answers
Answer:
[tex]y=\dfrac{1}{2}x+\dfrac{5}{2}[/tex].
Step-by-step explanation:
If a line passing through two points, then the equation of line is
[tex](y-y_1)=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
It is given that the passing through (1,3) and (-9,-2). So, equation of line in point slope form is
[tex]\Rightarrow (y-3)=\dfrac{-2-3}{-9-1}(x-1)[/tex]
[tex]\Rightarrow (y-3)=\dfrac{1}{2}(x-1)[/tex]
Slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
Now,
[tex](y-3)=\dfrac{1}{2}(x-1)[/tex]
[tex]\Rightarrow (y-3)=\dfrac{1}{2}(x}-\dfrac{1}{2}(1)[/tex]
[tex]\Rightarrow y=\dfrac{1}{2}(x}-\dfrac{1}{2}+3[/tex]
[tex]\Rightarrow y=\dfrac{1}{2}x+\dfrac{5}{2}[/tex]
Therefore, the required equation is [tex]y=\dfrac{1}{2}x+\dfrac{5}{2}[/tex].
Answer:
The Answer is C
Step-by-step explanation:
i think This is correct
The graph shows the numbers of miles two cars travel.
Car B travels ___ more miles than Car A each hour.
Answers
Answer:
b goes 5 miles more than a, in 1 hour
Answer: 5 miles more than car A each hour
Step-by-step explanation: We have to look at each line carefully and the steepness as well as the numbers and we could clearly see that Car B thus travels 5 more miles than car A each hour!
Hope this helps <3
-Carrie
P.S. Please be sure to mark brainliest
STAY SAFE
Solve for x.
−6≥10−8x
Enter your answer as an inequality.
Answers
Answer:
x≥2
Step-by-step explanation:
-6≥10-8x
+6 +6
= 0≥16-8x
+8x +8x
= 8x≥16
/8 /8
= x≥2
Answer:
2≤x
Step-by-step explanation:
−6≥10−8x
Subtract 10 from each side
−6-10≥10-10−8x
−16≥−8x
Divide each side by -8, remembering to flip the inequality
-16/-8 ≤-8x/-8
2 ≤x
A rectangle has a length 2x+1 and width x+3.
Write an expression that shows the area of
the rectangle. Be sure to simplify your
ansver.
Answers
Answer:
3x + 3
Step-by-step explanation:
to find the area we do length times width so to find the area of this rectangle we do 2x + 1 * x + 3
for this equation we have an order of operations problem we have to multiply 1 * x first so the answer becomes 3x + 3 because after the order of operstions the equation becomes 2x + 1x + 3
we then combine like terms / the x's
2x + 1x = 3x
then add 3
3x + 3
Which set represents the same relation as the table below? x f(x) 0 5 4 2 6 9 9 10 StartSet (0, 5), (4, 2), (6, 9), (9, 10) EndSet StartSet (5, 0), (2, 4), (9, 6), (10, 9) EndSet StartSet 0, 2, 4, 5, 6, 9, 10 EndSet StartSet 2, 5, 9, 10 EndSet
Answers
Answer:
1) {(0,5), (4,2), (6,9), (9,10)}
Step-by-step explanation:
Lets right the table in more clearer view.
x f(x)
0 5
4 2
6 9
9 10
The relation in coordinates form is written as (x, y) , x being the first term and y being the second term.
For x = 0, y = 5, so it can be written as (0,5)
Similarly, we can write the next values as:
(4,2)
(6,9)
(9,10)
So the data in the table is:
(0,5), (4,2), (6,9), (9,10)
It can be written is a set form
{(0,5), (4,2), (6,9), (9,10)}
Which is the same as option 1.
Hence, Option 1 is correct.
Answer:
A
Step-by-step explanation:
took the quiz edge 2020
John takes out a personal loan for $5,000 at an annual interest rate 7.5%, compounded monthly. He plans to pay off the loan (including interest) in 3 years.
Answers
Answer:
155.53
Step-by-step explanation:
I know where this question is from hahaha
Choose the graph below that has an undefined slope. (5 points) vertical line through the point negative 6 comma 0 line through the points negative 1 comma 1 and 0 comma negative 4 horizontal line through the point 0 comma negative 6 line through the points negative 2 comma negative 3 and 0 comma 6
Answers
Answer:
vertical line through the point (-6,0)
Step-by-step explanation:
Vertical lines have an undefined slope.
Which statement describes the graph of h (x)?
Answers
Answer:
The 4th option
Step-by-step explanation:
-3 will make you go down
2 - (7/8 - 3/4) /'s are fractions
Answers
Answer:
[tex]1\frac{7}{8}[/tex] or [tex]\frac{15}{8}[/tex]
Step-by-step explanation:
[tex]2-(\frac{7}{8} -\frac{3}{4} )=\\\\2-(\frac{7}{8} -\frac{6}{8}) =\\\\2-\frac{1}{8} =\\\\1\frac{7}{8} =\\\\\frac{15}{8}[/tex]
Answer:
Brainliest here!
Step-by-step explanation:
2- (7/8 -6/8) = 2-1/8
simplify = 1 7/8 or 15/8
does anyone know this?
Answers
Answer:
6x^2
Step-by-step explanation:
What goes in the box is
2x* 3x
6 x*x
6x^2
