Answer:
10,935
Step-by-step explanation:
lvl 1: 15 x 3=45
lvl 2: 45 x 3=135
lvl 3: 135 x 3=405
lvl 4: 405 x 3=1215
lvl 5: 1215 x 3=3645
finally lvl 6: 3645 x 3=10,935
Taylor will earn 3645 points when she completes level 6, using the geometric progression formed from the given information.
What is a geometric progression?A geometric progression is a series in which every number is the product of the previous number and a common ratio.
The first term of a geometric progression is represented as a.
The common ratio is represented by r.
The n-th term of a geometric progression (aₙ) is determined by the formula,
aₙ = arⁿ⁻¹.
How do we solve the given question?We are given that Taylor is playing a video game. She earns 15 points when she completes Level 1. Each time she completes a level, she earns three times as many points as the previous level.
We are asked to find the points she will earn when she completes level 6.
The given case can be seen as a geometric progression as the points collected after completion of every level are the product of the previous level's point and a common ratio of 3.
In this geometric progression, a = 15, and r = 3.
We need to find the point collected by Taylor when she completes level 6.
This is the 6th term of our geometric progression. We determine the 6th term using the formula of the n-th term of a geometric progression:
aₙ = arⁿ⁻¹.
∴ a₆ = (15)*(3)⁶⁻¹ = 15*3⁵ = 15*243 = 3645.
∴ Taylor will earn 3645 points when she completes level 6, using the geometric progression formed from the given information.
Learn more about a geometric progression at
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Middle school math!!
What does the graph tell you about the solution to the system equation?
Answer:
Step-by-step explanation:
The two lines intersect at one point. At this one point, the two students will have drunken the same amount of liquid.
There is sufficient info here so that one could determine that time and that volume of liquid if desired.
Can you Please Answer, This question
Min and Evan played a video game. Min scored 6,978 points. This is 3 times the number of points that Evan scored.
How many more points did Min score than Evan?
Step-by-step explanation:
Find the score for evan then subtract the points for min and evan tu find the difference
Evaluate y⁵ for y = 1.
● 1
● 5
● 15
Answer:
1
Step-by-step explanation:
if y = 1 then [tex]y^{5} = 1 . 1 . 1. 1.1 = 1[/tex]
Answer: 1
Step-by-step explanation:
its just 1 because you just multiplied 1 by1 5 times
write an equation to show the relationship between a and c when a = b + 9 b = c - 2
Given:
The equations are:
[tex]a=b+9[/tex]
[tex]b=c-2[/tex]
To find:
The equation that show the relationship between a and c.
Solution:
We have,
[tex]a=b+9[/tex] ...(i)
[tex]b=c-2[/tex] ...(ii)
Equation (i) can be rewritten as:
[tex]a-9=b[/tex] ...(iii)
From (ii) and (iii), we get
[tex]a-9=c-2[/tex]
[tex]a-c=9-2[/tex]
[tex]a-c=7[/tex]
Therefore, the required equation is [tex]a-c=7[/tex].
Wayne is mixing paint. He makes six quarts of brown paint by mixing equal quantities of yellow paint and violet paint. The violet paint is made from one-third red paint and two-thirds blue paint.
1.What percentage of the brown paint is made from red paint? ( Hint: use the ratio table and convert the fraction to percentage) Explain how you figure out
2.Wayne decides to make 12 quarts of brown paint by using the same formula as above. Will the percentage of brown paint that is made from blue paint change or stay the same? Explain your answer. (Hint: proportional table. Will the ratio/percentage of the paint change with the increase in the amount of paint used?)
Answer:
Step-by-step explanation:
2/6=33.33
Find the values of x and y
X=
Y=
Answer:
x = 7
y = 4
Step-by-step explanation:
y + 12 = 3x - 5
5y - 4 = 3x - 5
So y + 12 = 5y - x
To solve the equation above, y =4
Sub y = 4,
x = 7
Use the FOIL method to find the product.
(5x-8)(2x + 6)
Answer: 8
Step-by-step explanation:
Answer:
10x² + 14x - 48
Step-by-step explanation:
F: (5x)(2x) = 10x²
O: (5x)(6) = 30x
I: (-8)(2x) = -16x
L: (-8)(6) = -48
combine the two middle terms to get 14x
10x² + 14x - 48
cant figure this one out! will mark brainliest. also don’t have to show work if you don’t want to, i just need the answer
Answer:
a = -24
Step-by-step explanation:
a / -3 - 2 = 6
a/-3 = 8
a = -3 * 8
a = -24
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer: a= -24
a/-3- 2=6
+2 +2
a/-3=8
*3 *3
a= -24
The first and last terms of a 10-term arithmetic series are listed in the table. What is
the sum of the series? (2 points)
Term Number Term
1
3
10
75
What is the range of the following data?
10 20 30 40 50 60 70 80 90 100
50
20
70
60
What is the volume of the plastic rocket???
Answer:
A) 151 in³ or 151 cubic inches
Step-by-step explanation:
Volume of rocket = Volume of Cylinder + Volume of Cone
Step 1
Find the volume of the cylinder
Volume of a cylinder = πr²h
r = Diameter/2
= 5/2 = 2.5 inches
h = 6 inches
Hence,
π × 2.5² × 6
= 117.81 cubic inches
Step 2
Find the volume of the cone
Volume of a cone =1/3 πr²h
h = 11 inches - 6 inches
= 5 inches
r = 2.5 inches
Hence,
1/3 × π × 2.5² × 5
= 32.72 cubic inches
Therefore:
Volume of rocket = Volume of Cylinder + Volume of Cone
= 117.81 cubic inches + 32.72 cubic inches
= 150.53 cubic inches
Approximately to the nearest inch = 151 in³ or 151 cubic inches
Option A is correct
Find the total surface area of the rectangular prism in square millimeters. 2cm 6 cm 9cm
==============================================
Work Shown:
L = 2 = lengthW = 6 = widthH = 9 = heightThe order of length, width and height doesn't matter
SA = surface area of rectangular prism
SA = 2*(LW + LH + WH)
SA = 2*(2*6 + 2*9 + 6*9)
SA = 2*(12 + 18 + 54)
SA = 2*(30+54)
SA = 2*(84)
SA = 168 square cm
Find the exact value, without a
calculator
711/6
sin
2
7π
tan
12
711/6
COS
2
? ] + [
- √
Answer:
The answer to calculate this will be:
5
π
6
The required value of tan(7π/12) = √[(2+√3)/(2-√3)].
To find the exact value of tan(7π/12).
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.
[tex]tanx =\sqrt{ \frac{1 -cos2x}{1 + cos2x} }[/tex]
tan(7π/12) = √ [ (1 - cos2(7π/12) ) / (1 + cos2(7π/12) ]
= √ [ (1 - cos(7π/6) ) / (1 + cos(7π/6) ]
= √ [ (1 - cos(π + π/6) ) / (1 + cos(π + π/6) ]
Since cos(π + x) = -cosx
= √ [ (1 + cos(π/6) ) / (1 - cos(π/6) ]
Here, cos( π/6 ) = √3/2
= √ [ (1 + √3/2 ) / (1 - √3/2 ]
= √ [ (2 + √3)/2 / (2- √3)/2 ]
= √ [ (2 + √3) / (2- √3) ]
Thus, the required value of tan (7π/12) = √ [ (2+√3)/(2-√3) ].
Learn more about trigonometry equations here:
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Which geometric property is illustrated for the lengths of line segments: If DE = FG then FG = DE A. Reflexive Property B. Symmetric Property C. Transitive Property D. this is not a geomtric property as it does not hold
Answer:
I'm sorry I wish if I could help you but not sure of the answe
Answer:
B.
Symmetric Property
Step-by-step explanation:
Jaira is volunteering to stack 12 boxes of soup cans at a community food bank. She stacks the boxes to form a right rectangular prism. Describe or show 2 different ways that Jaira could have arranged her boxes to still make a rectangular prism.
Example: 6 boxes long, 1 box wide, and 2 boxes high ( 6 x 1 x 2 = 12 boxes )
A second way is: 4 boxes, ? , ? 4 x ? x ? = 12 boxes
A third way is: ? ? x ? x ? = ? boxes
2. Would you measure the space these boxes’ shape take up the same way you counted the area that the rug covered on the floor? Explain.
Answer:
6 boxes wide
6 boxes wide
or 2high 2high 2high 2high 2high 2high
Step-by-step explanation:
6 wide and 6 wide to make 12. 6x2=12
2 high ×6 2×6=12
Mustafa’s soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100. The team decides to charge each student $5.00 to attend the dance. If n represents the number of students attending the dance, which equation can be used to find the number of students needed to make $1,500 in profit?
5n – 300 = 1,500
5n + 300 = 1,500
5n – 200 + 100n = 1,500
5n – 100 – 200n = 1,500
Answer:
The first one, A
Step-by-step explanation:
DJ costs $300 in total.
For every student there is $5.
We want a profit of 1,500, so the total money earned from students attending subtracted by the costs of the DJ should be 1,500.
5n - 300 = 1,500
For the second one, it'll be the DJ giving you $300.
The last Two answers has an n where it's supposed to be money when n represents each student.
Answer:
it would be A
Step-by-step explanation: MUHAMMADO AVDOLLLLLL
Use the side -splitter theorem to solve for x in the triangle below
Answer:
x = 30
Step-by-step explanation:
Side splitter theorem,
"If a line intersects two sides of a triangle and is parallel to the third side of the triangle, will divide the sides proportionally."
Therefore, ratio of the parts of two sides intersected will be proportional.
[tex]\frac{3}{15}= \frac{6}{x}[/tex]
[tex]x=\frac{6\times 15}{3}[/tex]
[tex]x=30[/tex]
Therefore, [tex]x=30[/tex] will be the answer.
Math help please show work I will mark Brainlist if correct
Answer:
Step-by-step explanation:
(2). 1 yd ≈ 0.9144 m
1 yd³ ≈ 0.76455 m³
2 yd³ ≈ 1.53 m³ ≈ 2 m³
(3). 1 ft ≈ 0.3048 m
1 ft² ≈ 0.0929 m²
162 ft² ≈ 15.1 m²
(4). 1 mi ≈ 1.60934 km
1 mi² ≈ 2.59 km²
503 mi² ≈ 1302.8 km²
Find the slope of the line please! Will mark as brainliest :)
Answer:
D. [tex]\displaystyle \frac{1}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Reading a coordinate graphCoordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify points from graph
Point (-5, -3)
Point (3, 1)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{1--3}{3--5}[/tex][Fraction] Subtract: [tex]\displaystyle m = \frac{4}{8}[/tex][Fraction] Simplify: [tex]\displaystyle m = \frac{1}{2}[/tex]Answers include A.5/13
B -5/13
C 5
D -5
Answer:
i solve the question and answer is (a)5/13
Plss help me with this equation
Answer:
x = 110 degree
Step-by-step explanation:
Hope this helps u !!
The angle measurements in the diagram are represented by the following expressions.
LA=5x-5°
ZB = 3x + 13°
B
Answer:
x=9
Step-by-step explanation:
angle A =angle B (because they are corresponding angles)
5x-5=3x+13
5x-3x=13+5
2x=18
x=18/2
x=9
angle A=5x-5
=5*9-5
=45-5
=40
angle B=3x+13
=3*9+13
=27+13
=40
Answer:
A = B
5X-5 = 3X+13
5X-3X. =13+5
2X =18
X = 9
5X-5
(5×9)-5
45-5
=40
ANGLE A=ANGLE B =40
5x raised to 3+4 x raised to 2 - 6
Answer:
[tex]125x^3 + 16x^2 -6[/tex]
Step-by-step explanation:
Given :
5x raised to 3 , that is =
[tex](5x)^3 = 5^3 \times x^3 = 125 x^3[/tex]
4x raised to 2 , that is =
[tex](4x)^2 = 4^2 \times x^2 = 16 x^2[/tex]
Final step : (5x raised to 3) + ( 4x raised to 2) - 6, that is =
[tex](5x)^3 +(4x)^2 - 6 \\\\=125x^3 + 16x^2 -6[/tex]
In a right triangle, the hypotenuse / the opposite side is:
answer choices:
cosine
cotangent
cosecant
secant
Which equation would show the original function y = f(x) shrunk by a factor of 1/5, reflected
across the x-axis, translated 3 units left and 4 units down?
A. y = -1/5 f(x – 3) - 4
B. y = 1/5 f(x – 3) - 4
C. y = 5 f(x - 3) + 4
D. y = -1/5 f(x + 3) – 4
Answer:
B, I don't remember the reasoning but I know that's the answer
La Sra. Conley le pregunta a su clase qué tipo de fiesta quieren tener para celebrar su comportamiento ejemplar. De todos los estudiantes en la clase, 5 quieren una fiesta de helado, 7 quieren una fiesta de películas, 10 quieren una fiesta de disfraces y los demás están indecisos. Si el20%, quiere una fiesta de helado, ¿cuántos estudiantes hay en la clase?
Answer:
En la clase hay 25 alumnos.
Step-by-step explanation:
La regla de tres es una forma de resolver problemas de proporcionalidad entre tres valores conocidos y una incógnita, estableciendo una relación de proporcionalidad entre todos ellos.
De todos los estudiantes en la clase, 5 quieren una fiesta de helado. Sabiendo que el 20% de los estudiantes de la clase quiere una fiesta de helado, se puede aplicar la regla de tres: si el 20% de los estudiantes de la clase son 5 estudiantes, el 100% (totalidad de los alumnos) cuántos alumnos son?
[tex]totalidad de los alumnos=\frac{100*5}{20}[/tex]
totalidad de los alumnos= 25
En la clase hay 25 alumnos.
What is the answer for this?
Answer:
D. Four right angles
Step-by-step explanation:
Answer:
DStep-by-step explanation:
one of the property of all rectangles is that it has four right angles
:-)
What is the volume of this cylinder?
??
Answer:
197.92
Step-by-step explanation:
pretty simple not hard bub
1) Paul is buying stock to add
to his portfolio. The cost of the
stock is $60 per share. The
broker that he's buying from
also charges a processing fee
of $100.
Please help, I will really appreciate all your help please :(
Answer:
should be y=-2/1x+2
Step-by-step explanation:
because the slope is going down 2 over 1 and the y-intercept is at positive 2
