Answer:
[tex]a_{n}[/tex] = - [tex]\frac{1}{4}[/tex] [tex]a_{n-1}[/tex]
Step-by-step explanation:
The recursive formula lets us find a term in the sequence by multiplying the previous term by the common ratio r
Here r = [tex]\frac{20}{-80}[/tex] = [tex]\frac{-5}{20}[/tex] = - [tex]\frac{1}{4}[/tex]
Then recursive formula is
[tex]a_{n}[/tex] = - [tex]\frac{1}{4}[/tex] [tex]a_{n-1}[/tex]
I need help please no links
Answer:
A and D
Step-by-step explanation:
Look at the answer choices as (x,y) so if you multiply the x for the x spot and the y for the y spot, you make sure the it is greater than or equal to 3 and if it is, select that answer.
What is the slope of the line represented by the equation y = -1/2x + 1/4?
I NEED HELP GUYS PLEASE I CANT FAIL AGAIN A translation was applied to square ABCD to form
A'B'C'D.
Which line segment defines the translation?
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5
OBD
А
B
4.
O C'B
3
O DA
2-
D
A'
C
B'
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3
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\sqrt(125)-\sqrt(45)+\sqrt(5)
ans=3\sqrt(5)
Answer:
what?
Step-by-step explanation:
........................
fine the total surface area left in terms of pie
Answer:
200π cm²
Step-by-step explanation:
Applying,
TSA = πrl+πr²
TSA = π(r²+rl)............. Equation 1
Where TSA = Total surface area, r = radius of the base, l = slight height of the cone
To get l we apply pythagoras theorem
From the diagram,
l² = 15²+8²
l² = 225+64
l² = 289
l = √289
l = 17 cm
Given: r = 8 cm
Substitute these values into equation 1
TSA = π(8²+17×8)
TSA = π(64+136)
TSA = π(200)
TSA = 200π cm²
help pls! i cant figure it out.
[tex]\longrightarrow{\green{x\:=\:5}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
➝[tex]\: \frac{3x}{5} = \frac{x + 1}{2} [/tex]
➝[tex]\:2 \times 3x = 5(x + 1)[/tex]
➝[tex]\:6x = 5x + 5[/tex]
➝[tex]\:6x - 5x = 5[/tex]
➝[tex]\:x = 5[/tex]
To verify:-✒[tex] \:\frac{3 \times 5}{5} = \frac{5 + 1}{2} [/tex]
✒[tex]\: \frac{15}{5} = \frac{6}{2} [/tex]
✒[tex]\:3 = 3[/tex]
✒[tex]\:L. H. S. =R. H. S. [/tex]
Hence verified.
[tex]\bold{ \green{ \star{ \orange{Mystique35☂}}}}⋆[/tex]
"HOT PIZZA" is offering a 20% discount on all its pizzas.
Sam orders a pizza for the reduced price of £5.60
What was the original price of the pizza?
Answer:
£7
Step-by-step explanation:
x - .2x = £5.60
.8(x) = £5.6
x= £5.6/.8
Every hour American throw away 1.2 million plastic bottles. how many plastic bottles are thrown away in one day??
need help
Answer:
the answer is 28.8 billion plastic bottles
Answer:
28.8 million
Step-by-step explanation:
24 hrs in one day - 1.2 M*24=28.8 M
Anyone plz plz answer
Answer:
[tex]\frac{28}{3}[/tex]
Step-by-step explanation:
[tex]\frac{8}{5} * \frac{10}{3} * \frac{7}{4}[/tex]
[tex]\frac{80}{15} * \frac{7}{4}[/tex]
[tex]\frac{560}{60}[/tex]
[tex]\frac{140}{15}\\\\= \frac{28}{3}[/tex]
→ (8/5 × 10/3) × 7/4
→ 80/15 × 7/4
→ 560/60
→ 140/15
→ 28/3 cm³
Factor completely. 16x^6-81=
Answer:
(4x^3 - 9)(4x^3 + 9)
Step-by-step explanation:
16x^6 - 81
write this in the form of a^2 - b^2
(4x^3)^2 - (9)^2
since a^2 - b^2 = (a + b)(a - b) . Write,
(4x^3 - 9)(4x^3 + 9)
c. A 40-foot ladder reaches 38 feet up the side of a house. How far from the base of the
house is the foot of the ladder?
Answer: 12.48
Step-by-step explanation:
38x38+bxb=40x40
1444+b=1600
1600-1444=156
[tex]\sqrt156[/tex]=12.48
The base of the house is 12.48 foot far from the foot of the ladder.
What is the Pythagoras theorem?The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
|AC|^2 = |AB|^2 + |BC|^2
It is given that A 40-foot ladder reaches 38 feet up the side of a house.
We need to find that How far from the base of the house is the foot of the ladder.
Using Pythagoras theorem, we get;
[tex]38^2 + b^2 =40^2\\\\1444 + b^2 = 1600\\ \\b^2 = 1600 - 1444 \\\\b^2= 156\\\\b = 12.48[/tex]
Therefore, the base of the house is 12.48 foot far from the foot of the ladder.
Learn more about Pythagoras theorem;
https://brainly.com/question/343682
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Two sides of an isosceles triangle are unknown. We can say both are X ft
long each. The third side is 9 ft long. Perimeter of the triangle is 33ft. What
is the length of each missing side?
A. 10
B. 11
C. 12
D. 9
Answer:
c.12
Step-by-step explanation:
you do 33-9 which gets you 24. You then divide that by 2 so you get 12.
[tex]5x2 + 2x - 3=0[/tex]
Find the area of each shape, please help and I will give a lot points
Answer:
15. Area of parallelogram = bh
b = 9m
h = 4m
a = 9*4 = 36m^2
You can also use the rectangle property here.
a = l*b
l = 9
b = 6
a = 9*6 = 54 m^2
Though I would prefer the first one better.
16. Area of triangle = 1/2*bh
b = 17m
h = 3
a = 17*3/2 = 51/2 = 25.5m^2
18. Area of a trapezium = a+b/2*h (a and b are two parallel sides and h the height)
a = 15
b = 7
h = 15
a = 15+7/2*15 = 22/2*15 = 11*15 = 165m^2
19. Area of triangle = 1/2*bh
b = 24
h = 7
a = 24*7/2 = 168/2 = 84
Hope u understood
Please mark as brainliest
Thank You
Given the following equation x2 + 12x = x - 24 find the solutions.
(Show All Work)
16a) Set the equation equal to 0 by inverse operations.
16b) Place the equation in factored form.
16c) Set each factor equal to 0 and solve for x.
Answer:
OK , so I'll follow all your instructions:
x² + 12x - x + 24 = 0
x² + 11x + 24 = 0.......product = 24, sum= 11 & factors = 3 & 8
(x² + 3x ) (+ 8x + 24) =0
x ( x + 3) + 8 ( x + 3)=0
( x + 3 ) ( x + 8)=0
x +3 = 0 or x + 8= 0
x = -3. or x = -8
In the diagram below, DE is parallel to XY. What is the value of y?
8
100
ya
O A. 120
B. 100
o
C. 80
o
D. 60
PREVIOUS
Answer:
100 is answer for math picture
Answer: 80
Step-by-step explanation:
180-100 = 80, y=80
The vertex of this parabola is at (-2,-3). When the y-value is -2, the x-value is -5. What is the coefficient of the squared term in the parabola's equation? 5 re (-2, -3)
Answer:
The coefficient of the squared term of the equation is 1/9.
Step-by-step explanation:
We are given that the vertex of the parabola is at (-2, -3). We also know that when the y-value is -2, the x-value is -5. Using this information we want to find the cofficient of the squared term in the parabola's equation.
Since we are given the vertex, we can use the vertex form:
[tex]\displaystyle y=a(x-h)^2+k[/tex]
Where a is the leading coefficient and (h, k) is the vertex.
Since the vertex is (-2, -3), h = -2 and k = -3:
[tex]\displaystyle y=a(x-(-2))^2+(-3)[/tex]
Simplify:
[tex]y=a(x+2)^2-3[/tex]
We are also given that y = -2 when x = -5. Substitute:
[tex](-2)=a(-5+2)^2-3[/tex]
Solve for a. Simplify:
[tex]\displaystyle \begin{aligned} -2&=a(-3)^2-3\\ 1&=9a \\a&=\frac{1}{9}\end{aligned}[/tex]
Therefore, our full vertex equation is:
[tex]\displaystyle y=\frac{1}{9}(x+2)^2-3[/tex]
We can expand:
[tex]\displaystyle y=\frac{1}{9}(x^2+4x+4)-3[/tex]
Simplify:
[tex]\displaystyle y=\frac{1}{9}x^2+\frac{4}{9}x-\frac{23}{9}[/tex]
The coefficient of the squared term of the equation is 1/9.
HELPPPPPPP PLEASEEEE
Answer:
19: x=5
20: x=13
21: y= 11
x= 11
Step-by-step explanation:
How many outfits are possible if you can choose one from each of four shirts, three pairs of pants, two pairs of shoes, and two jackets?
Answer:
40 outfits possible
Step-by-step explanation:
4 shirts * 3 pairs of pants * 2 paird of shoes * 2 jackets = 40 outfits possible
Which graph shows the solution to the equation 4x-4=4?
Answer:
A
Step-by-step explanation:
y = 4x - 4 is a line with y-intercept -4 and slope 1. Both graphs A and C show that line in blue.
y = 4 is a horizontal line through y = 4. Graph A shows that line.
Answer: A
Write an equation for the line that passes through E(4, -3) and is parallel to the line
0 = 5x - 7y - 27 Write the equation in general form.
Answer:
make y the subject first
Step-by-step explanation:
y=5/7(x) -27/7
parallel lines have equal gradient m1=m2
y-y1=m(x-x1)
y-(-3)=5/7(x-4))
y=5/7(x) -20/7 -3
final answer
y=5/7(x) -41/7
Please help it's fricking urgent
Answer:
Kaden had $17 at first
Step-by-step explanation:
Ben = x
Kaden = x - 10
x + 4
x - 10 + 4 = x -6
x - 6 = [tex]\frac{7}{9}[/tex] x
9(x - 6) = 7x
9x - 54 = 7x
2x = 54
x = 27
x - 10 = 27 - 10 = 17
Answer:
Kaden had $31
Ben had $41
Step-by-step explanation:
k = b - 10
k + 4 = (7/9)(b+ 4)
Substitute for k = b - 10
(b - 10) + 4 = (7/9)(b+ 4)
b - 6 = (7/9)(b+ 4)
multiply by 9 to clear the fraction
9b - 54 = 7(b + 4)
Distribute
9b - 54 = 7b + 28
subtract 7b from both sides
2b - 54 = 28
Add 54 to both sides
2b = 82
Divide both sides by 2
b = 41
k = b - 10
k = 31
Name the marked angle in 2 different ways.
∠HGF ∠EGF
Hope this helps! :)
the ratio of the weight of wood to the weight of raw materials used by a factory is 16 : 56. How many tons of wood wouod the factory use if it were to use 7 tons of raw materials?
Hurry please!!!
Answer:
2 Tons Wood
Step-by-step explanation:
According To Question,
Given,the ratio of the weight of wood to the weight of raw materials used by a factory is 16 : 56 or 2 : 7 .
And, Factory were to use 7 tons of raw materials .
Thus, if 56 ⇒⇒ 7Tons of Raw Material
So,
16⇒⇒2 Tons of Wood Material .
it is given 5 and h + 1 are the roots of the quadratic equation x＾2 + (k - 1)x-5 = 0, where h and k are constants. Find the values of h and k.
Answer:
The values of h = -2 and 4
The value of k = -3
Step-by-step explanation:
Putting x=5 in the given equation,
x²+(k-1)x-5=0
or, 5²+(k-1)*5-5=0
or, 25+5k-5-5=0
or, 15+5k=0
or, 5k=-15
or, k=-3
putting the value of k and the other root (h+1) in the given equation,
(h+1)²+(-3-1)(h+1)-5=0
if you solve this, you'll get h = -2 and h = 4.
Answered by GAUTHMATH
Saira is going to ride her bike to her friend's house that is 2.3 miles away. Then she is going to ride her bike another 3.4 miles to Starbucks before heading home, which is another 3.8 miles. She noticed on the map that her route is in the shape of a triangle. How far will Abby ride her bike altogether?
Answer:
9.5 miles
Step-by-step explanation:
Since her route is in the shape of a triangle, total distance travelled can be determined by calculating the perimeter of a triangle.
A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees
The perimeter of a triangle = sum of the side lengths
The total distance travelled can be determined by adding the miles she rode
2.3 + 3.4 + 3.8 = 9.5 miles
I NEED THIS NOW PLZZZ NO KINKS IT ILL REPORT
Answer:
Letter C
Step-by-step explanation:
Given:
[tex]24x-17x[/tex] ≥ [tex]13x+15[/tex]
Combine like terms
[tex]7x[/tex] ≥ [tex]13x+15[/tex]
Subtract both sides by 13x
[tex]-6x[/tex] ≥ [tex]15[/tex]
DIvide -6 from both sides
[tex]x[/tex] ≥ [tex]-2.5[/tex]
Letter C is the answer because it is at -2.5, the arrow is facing to the right, and the dot or circle is closed to indicate that it is greater than "or equal to".
Hope this helps
Fragrant Fields Greenhouse sells rose bushes for $19.90 each. Last weekend, they made $477.60 on rose bushes. How many rose bushes did they sell?
Answer:
24 brushes
Step-by-step explanation:
Given data
cost per brush= $19.90
Amount made =$477.60
hence the number of brushes sold is given as
Number of brushes= 477.60/19.90
Number of brushes= 477.60/19.90
Number of brushes= 24 brushes
The circumference of a circle is 16Pi ft.
The radius is ____ ft.
Answer:
radius is 8 ft
Step-by-step explanation:
circumference formula is 2pi r
so if the circumference is 16 pi, we divide it by 2 to get 8 pi and divide it by pi to get 8.
Answer:
8 ft
Step-by-step explanation:
The circumference is given by
C = 2 * pi *r
16 pi = 2 * pi *r
Divide each side by 2 pi
16 pi / 2 pi = 2 pi r / 2 pi
8 = r
Please help I’ll give brainliest
Answer:
A.
Step-by-step explanation: