If a1 = 4 and an =
- 4 an–1 then find the value of a6.
Answer: -4096
Step-by-step explanation:
The 6th term of the geometric sequence is; -4096.
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given as:
[tex]a_n = a_1q^{n-1}[/tex]
In which a1 is the first term.
For this problem, we have :
The first term is a1 = 4 and an =- 4 an–1 .
Therefore, the common ratio is q = -4.
Now the 6th term of the sequence is found as :
[tex]a_6 = 4(-4)^{5[/tex]
a_6 = - 4096
More can be learned about geometric sequences at brainly.com/question/11847927
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2+5t+3a-2t-4m+7-8m-2 pls help
Which set of ordered pairs represents a function?
{(-4,9), (-4, 7), (1, -5), (7, —8)} {(-5, -5), (–9,1), (8, -6), (-9, -4)}
{(-6, -6), (-2, -2), (7,-6), (-5,0)}
{(-7, -9), (-7, -7), (3, –7), (5, -5)}
Answer:
{(-6,-6), (-2,-2), (7,-6), (-5,0)}
Step-by-step explanation:
Function: Every domain (x-value) has only one range (y-value)
The other choices had an x-value that had more than one y-value, which makes only this one a function.
Hope this helped :)
I need help on this question.
Answer:
(x, y) = (-6, 2)
Did this a while ago
A sports shop got a skateboard that cost them $80. In order to make a
profit, they decide to add a 37.5% markup. What is the retail price of the
skateboard?
The retail price of the skateboard = [tex] \color{hotpink}\boxed{\bold{\tt\bold{\$110}}}[/tex]
○=> Steps to derive correct answer :Given :
▪︎Cost price of a skateboard in a sports shop = $80
▪︎Percentage of markup in the price of the skateboard = 37.5%
Which means :
The retail price of the skateboard :
= Intial price of skateboard + 37.5% of it's initial price
[tex] = \tt80 + 37.5\% \: of \: 80[/tex]
[tex] =\tt 80 + \frac{37.5}{100} \times 80[/tex]
[tex] =\tt 80 + \frac{37.5 \times 80}{100} [/tex]
[tex] = \tt80 + \frac{3000}{100} [/tex]
[tex] =\tt 80 + 30[/tex]
[tex]\color{plum} = \tt\bold{\$110}[/tex]
Therefore, the retail price of the skateboard = $110
PLS NEED HELP!!!!!!!!!!!
Answer: Uhh
Step-by-step explanation:
Answer: a=16+c
Step-by-step explanation:
if b= c+4 then we can substitute c+4 into the equation a=b+12 so a= (c+4)+12 simplified a= c+16
Need help due today please
£399 is shared between ann,bill, chloe and dave. The ratio of the amount ann gets to bill gets is 2:9 chloe and dave get 2.5 times the amount ann gets.
Work out how much money bill gets
Answer:Bill gets £171
Step-by-step explanation:
Total Money shared = £399
The ratio of the amount Ann gets to bill gets is 2:9 Chloe and Dave get 2.5 times the amount Ann gets can be written as
Ann : Bill : Chloe : Dave
2 : 9 : 2.5 x Ann : 2.5 x Ann
Let the amount of money
Ann gets be x
so that Bill gets 4.5x
Chloe = 2.5x
Dave = 2.5x
So that the expression to calculate each amount gooten will be
x + 4.5x + 2.5x + 2.5x = 399
10.5x = 399
x = 399/10.5
x=38
Therefore, Ann gets = £38
Bill gets =4.5 x= 4.5 x £38 = £171
Chloe gets=2.5x =2.5 x £38 = £95
Dave gets=2.5x =2.5 x £38 = £95
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Assuming construction of the dotted lines, complete the following proof.
Given: lines from P tangent to circle R at points A and B
Prove: PA = PB
Step-by-step explanation:
Statements
1.RA equal RB
2.RP equal RP
3.RA is perpendicular to AP, RB is perpendicular to PB
4.right triangle RAP is congruent to Right triangle RBP
5.PA equal PB
Reasons
1.radii of same circle are equal
2.Reflexitive
3.Radius is perpendicular to tangent
4.HL
5 CPCTC
Answer:
RA = RB ----- radii of the same circles are =
RP = RP ----- reflexive
RA ⊥ AP, RB ⊥ PB ----- Radius congruent to tangent
rtΔ RAP ≅ rtΔ RBP ----- HL
PA = PB ----- CPCTE
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
9x – 6y = -42
i/3 of 12 = 2/3 of ......
plz help
Answer:
өтті қысым өзің орында окей
Answer:
ndetlsktsktakfakgskfng
djfkfkckcj
The least multiple of 5 which is divisible by both 3 and 4 is -
Answer:
60
Step-by-step explanation:
The least multiple of 5 which is divisible by both 3 and 4 is 60
Square A is 3cm long. The scale that maps Square A onto square b is 1:4. What is the length of square B?
The length of square B is 12 cm.
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
The basic formula to find the scale factor of a figure is expressed as,
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.
Given that, square A is 3 cm long.
The scale that maps square A onto square B is 1:4.
Let the length of square B be x.
1/4 =3/x
x=4×3
x=12 cm
Therefore, the length of square B is 12 cm.
To learn more about the scale factor visit:
https://brainly.com/question/22312172.
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Consider the sequence shown.
436, 218, 109, 54.5, 27.25,...
Select the correct explicit formula for the sequence.
a
g_n=436·0.5^{(n-1)}
b
g_n=0.5·436^{(n-1)}
c
g_n=436·2^{(n-1)}
d
g_n=2·436^{(n-1)}
Answer:
[tex](a) \to \: g_n=436·0.5^{(n-1)}[/tex]
i think the answer is
A.gn =436 . 0.5 (n-1)
PLSSSSSS HELPPPPPPP FAST WILL GIVE BRAINLIEST ITS IREADY!!!!!!!!!!! PLSSSSS HELPPPPPPPPPPPPPP
Answer:
The ratio 8 to 2 is equivalent to the ratio: 16 to 4.
Answer:
1 to 6
Step-by-step explanation:
Is this not 2? I got 2 and it was wrong
Answer:
Not Proportional
Step-by-step explanation:
Constant of proportionality is what you multiply with x to get y. This is not proportional since its not the same number each time
Answer:
i think its b
Step-by-step explanation:
reason is because 2 divided 2 is not 0 and 6 divided by 2 is not 4
sorry if its wrong ;(
what is the answer for x/12 = -2
Answer:
x/12 = -2
x = -2x12
x = -24
X = -24
Answer:
x= -24
Step-by-step explanation:
x/12=-2
12 x I did 12 times x/12 to get the x alone.
___ x ___ = x
1 12
Do 12 times -2 too,
so.. 12 x-2=-24
x= -24
round 21.24833 to three decimal places
Answer:
21.248
Step-by-step explanation:
The required value of decimal value 21.24833 to three decimal points is 21.248.
Given that,
21.24833, to round this number to 3 decimal places.
In mathematics, it deals with numbers of operations according to the statements.
Recurring Decimal is defined as also named repeating decimal, is a decimal number that only consists of repeating digits after a certain interval after the decimal. For example, 94.642642642..., 213.569569... etc.
In the question, a decimal value is given, 21.2488, and asked to round this off to 3 decimal places.
When rounding off the number, we check the preceding value neared to which zero either to 0 or 10. if it is near 0 the value before is round off value and the preceding value is near 10 then the value before the proceeding value is increased by 1.
In our case, the value after the third decimal is 3 which is near 0 so nothing will change and the value terminates as it is after 3 decimal points i.e 21.248.
Thus, the required value of decimal value 21.24833 to three decimal points is 21.248.
For more information about recurring decimal check it out here:
brainly.com/question/820308
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Evaluate the expression 5+(-3x)for the given x-values. A. X=3. B. X=1/3. C.X=-3
Answer:
a. [tex]5 + (-3x) = -4[/tex]
b. [tex]5 + (-3x) = 4[/tex]
c. [tex]5 + (-3x) = 14[/tex]
Step-by-step explanation:
Given
[tex]5 + (-3x)[/tex]
Required
Evaluate
(a) x = 3
[tex]5 + (-3x) = 5 + (-3*3)[/tex]
[tex]5 + (-3x) = 5 + (-9)[/tex]
Remove bracket
[tex]5 + (-3x) = 5 -9[/tex]
[tex]5 + (-3x) = -4[/tex]
(b) x = 1/3
[tex]5 + (-3x) = 5 + (-3*1/3)[/tex]
[tex]5 + (-3x) = 5 + (-1)[/tex]
Remove bracket
[tex]5 + (-3x) = 5 -1[/tex]
[tex]5 + (-3x) = 4[/tex]
(c) x = -3
[tex]5 + (-3x) = 5 + (-3*-3)[/tex]
[tex]5 + (-3x) = 5 + (9)[/tex]
[tex]5 + (-3x) = 14[/tex]
a 4 +4a 2 b 2 −2b 4 a, start superscript, 4, end superscript, plus, 4, a, squared, b, squared, minus, 2, b, start superscript, 4, end superscript from -3a^4+5a^2b^2+2b^4−3a 4 +5a 2 b 2 +2b 4 minus, 3, a, start superscript, 4, end superscript, plus, 5, a, squared, b, squared, plus, 2, b, start superscript, 4, end superscript.
Answer:
- 4a⁴ + a²b² + 3b⁴Step-by-step explanation:
If I understand this correct the question is:
Subtract a⁴ + 4a²b² − 2b⁴From - 3a⁴ + 5a²b² + 2b⁴Solving by collecting like terms:
-3a⁴ + 5a²b² + 2b⁴ - (a⁴ + 4a²b² − 2b⁴) =-3a⁴ + 5a²b² + 2b⁴ - a⁴ - 4a²b² + 2b⁴ = - 4a⁴ + a²b² + 3b⁴Answer:
-4a⁴+a²b²-4b⁴ this is your answer. your question is in mess .I don't understand properly.
a⁴+4a²b²-2b⁴......(1)
-3a⁴+5a²b²+2b⁴.........(2)
subtracting equation 1_from 2
Step-by-step explanation:
-3a⁴+5a²b²+2b⁴
a⁴+4a²b²-2b⁴
-
____________
-4a⁴+a²b²-4b⁴
CAN SOMEBODY PLS HELP MEEEEEEEEEEE AND RUDE ANSWERS WILL BE RE PORTEDDDDDD
Answer:
The quadratic equations and their solutions are;
9 ± √33 /4 = 2x² - 9x + 6.
4 ± √6 /2 = 2x² - 8x + 5.
9 ± √89 /4 = 2x² - 9x - 1.
4 ± √22 /2 = 2x² - 8x - 3.
Explanation:
Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.
We have to solve all of the five equations to be able to match the equations with their solutions.
2x² - 8x + 5, here a = 2, b = -8, c = 5. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4. 24 can also be written as 4 × 6 and √4 = 2. So x = 8 ± 2√6 / 2×2= 4±√6/2.
2x² - 10x + 3, here a = 2, b = -10, c = 3. x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.
2x² - 8x - 3, here a = 2, b = -8, c = -3. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4. 88 can also be written as 4 × 22 and √4 = 2. So x = 8 ± 2√22 / 2×2 = 4± √22/2.
2x² - 9x - 1, here a = 2, b = -9, c = -1. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4. x = 9 ± √89 / 4.
2x² - 9x + 6, here a = 2, b = -9, c = 6. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4. x = 9 ± √33 / 4 .
Step-by-step explanation:
Answer:
1.(2,-1)
2.[tex]y=(x+1)^{2} +2[/tex]
3.[tex]y=(x-3)^{2} +1[/tex]
Step-by-step explanation:
Complete the equation for the horizontal line that passes through (11,4)
The equation is:. Y = 4 .
can someone help me witth these two questions
Answer:
ok
1st one x=245°
2nd one x= 250
Step-by-step explanation:
hope its correct
hope u find it helpful
Answer:
x = 245 and x = 20
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 5 , then
sum = 180° × 3 = 540°
Sum the interior angles and equate to 540
25 + 112 + 100 + 58 + x = 540
295 + x = 540 ( subtract 295 from both sides )
x = 245
---------------------------------------------------------------
5x + 2 + 3x + 5 + 8x + 8 + 4x + 15 + 5x + 10 = 540
25x + 40 = 540 ( subtract 40 from both sides )
25x = 500 ( divide both sides by 25 )
x = 20
Y= -4+9
A.(3,-3)
B.(2,3)
C.(0,9)
D.(2,1)
E.(4,5)
Answer:
E
Step-by-step explanation:
-4+9=5 and the only one where y is equal to 5 is E
PLEASE ANSWER ASAP !! HAS TO BE DUE AT 11:59 WILL GIVE BRAINLIEST
Answer:
(2,-2)
Step-by-step explanation:
Used a midpoint calculator
Answer:
2,-2
Step-by-step explanation:
midpoint formula:
(x1+x2/2 , y1+y2/2)
An archeologist finds an artifact that contains 44% of the carbon-14 that it would have had originally. What is the estimated age of the artifact? (The half-life of carbon-14 is 5,730 years.)
Answer:
the answer is that the carbon-14 is approximately 2600 years old
Divide x^2+7x+12 by x+3 using long division
-3/5x=42 help pleeeeeeeeeeeeeaaaaaaaaaaaaaaaaaaasssssssssssssssseeeeeeeeeeeee
Answer:
x=-70
Step-by-step explanation:
Answer:
X = -70
Step-by-step explanation:
Multiply both sides of the equation by
screen shot has my step by step
Hope it was helpful
PLEASE HELP!!! find the area of the yellow region. round to the nearest tenth
Answer:
3.9
Step-by-step explanation:
HELLPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
65 square units
Step-by-step explanation:
The area of a triangle is: height times base divided by two.
So the area of one of the triangles is 10 square units.
multiply this times 4 to get the total area of the triangles
then add the area of the square which is 5 times 5
25 plus 40 = 65 square units
PLZ MARK BRAINLIEST
