Answers
Answer:
This is a geometric sequence and the common ratio is equal to ½.
Step-by-step explanation:
For a sequence to be termed to be in arithmetic progression, the difference between consecutive terms are the same and constant.
On the other hand, a sequence is termed to be in geometric progression if the ratio of a term to the term before it is the same as the ratio between the next term to it.
Let's consider the sequence given: 12, 6, 3 . . .
=>Let's try to find the common difference if it would be constant: 6-12 (-6) ≠ 3-6 (-3)
The sequence is not arithmetic.
=>Let's also try to find the ratio of the sequence to see if it is constant:
6/12 (½) = 3/6 (½)
Therefore we can conclude the sequence is geometric because the common ratio (½) is constant.
This is a geometric sequence and the common ratio is equal to ½.
Related Questions
Timothy has a fenced-in garden in the shape of a rhombus. The length of the longer diagonal is 24 feet, and the length of the shorter diagonal is 18 feet. A rhombus is shown. Diagonals are drawn from each point to the opposite point and intersect at a point in the middle. The distance from the top point to the middle point is 12 feet. The distance from the right point to the middle point is 9 feet. What is the length of one side of the fenced-in garden? 12 ft 15 ft 21 ft 108 ft
Answers
Answer: b) 15 ft
Step-by-step explanation:
The diagonals intersect at a right angle (one of the properties of a rhombus).
Use Pythagorean Theorem to find the length of the side.
9² + 12² = c²
81 + 144 = c²
225 = c²
15 = c
Answer:
i got b!
Step-by-step explanation:
15 feet (:
The shape of a ball is circle true or false
Answers
Answer:
False
Step-by-step explanation:
A ball is a three dimensional object and it is spherical in shape.
Answer:
A ball is spherical
it's shaped like a sphere
Rectangle divided into four rectangles. The perimeters of rectangle #1, #2, #3, #4 are 10 cm, 20 cm, 28 cm and 18 cm respectively. Find the perimeter of the big rectangle.
Answers
Answer:
Perimeter of big rectangle = 38 units
Step-by-step explanation:
Let the sides of rectangle (1) = a and c cm
Sides of rectangle (2) = b and c cm
Sides of rectangle (3) = b and d cm
Sides of rectangle (4) = a and d cm
Perimeter of (1) = 2(length + width)
2(a + c) = 10
a + c = 5 ---------(1)
Perimeter of (2) = 2(b + c)
2(b + c) = 20
b + c = 10 -------(2)
Perimeter of (3) =2(b + d)
2(b + d) = 28
b + d = 14 --------(3)
Perimeter of (4) = 2(a + d)
2(a + d) = 18
a + d = 9 -------(4)
Since perimeter of the big rectangle = 2(a + b + c + d)
By adding equations (1) + (2) + (3) + (4),
(a + c) + (b + c) + (b + d) + (a + d) = 5 + 10 + 14 + 9
2(a + b + c + d) = 38
Therefore, perimeter of the rectangle ABCD = 38 units
An equation is written to represent the relationship between the temperature in Alaska during a snow storm, y, as it relates to the time in hours, x, since the storm started. A graph of the equation is created. Which quadrants of a coordinate grid should be used to display this data? please help.
Answers
Answer:
the first and fourth quadrants
Step-by-step explanation:
We have that the time found hours is given on the x-axis and that the temperature is represented on the y-axis.
Let's first analyze time:
Time cannot be negative, therefore, the x coordinate cannot be negative therefore, for the x axis, we can use the first and fourth quadrants
Second let's analyze the temperature:
The temperature can be negative, therefore, the coordinate and can be positive or negative therefore, that for the y axis, we can use all four quadrants.
If we combine the two previous conditions, we can deduce that we can only use the first and fourth quadrants to represent the required data.
Who coined the term “fractal”?'
Answers
Answer:
Benoit Mandelbrot
Step-by-step explanation:
I googled it.
Answer:
B MANDLEBROT
Step-by-step explanation:
Who coined the term “fractal”?
a.
Sierpinski
c.
Sapoval
b.
Mandlebrot
d.
Amalgamated Research
Here are 4 fractions labelled A,B,C,D. A is 3/4 B is 5/6 C=16/25 D=9/15 Using the label A,B,C,D, Write the fractions in order of size starting with the smallest fraction
Answers
Answer:
Starting with the smallest, we will have; D , C, A, B
Step-by-step explanation:
Given;
A = 3/4
B = 5/6
C = 16/25
D = 9/15
Convert the fractions to decimal, to determine their sizes;
A = 3/4 = 0.75
B = 5/6 = 0.833
C = 16/25 = 0.64
D = 9/15 = 0.6
From the decimal form of the fractions, it be observed that,
B > A > C > D
Starting with the smallest, we will have; D , C, A, B
Which expression is equal to the expression below?
(7•2)7
Answers
Answer:
C. 7⁷ × 2⁷
Step-by-step explanation:
The exponent is outside of the brackets, so we distribute the exponent to all the terms inside the brackets.
(7 × 2)⁷
7⁷ × 2⁷
Answer:
c. [tex]7^7[/tex]· [tex]2^7[/tex]
Step-by-step explanation:
please mark me brainliest!
PLZ HELP ME PLZZZ I NEED HELP
Answers
Answer:
y = 40.5 cm
Step-by-step explanation:
The total area of the shape is 792 cm²
let's find the area of the four parallelograms
To do that we should calculate the area of the rhombus inside and then substract it from the total area
The area of a rhombus is given by the formula:
A = [tex]\frac{d*d'}{2}[/tex] where d and d' are the diametersLet A be the area of the shape , A' the area of the rhombus and A" the area of the four parallelograms
A"= A - A' A" = A -[tex]\frac{d*d'}{2}[/tex] A" = 792- [tex]\frac{18*7}{2}[/tex] A" = 729 cm²Let a be the area of the single parallelogram
a = A"/4 since the parallelograms are congruent a = 729/4 a = 182.25 cm²the area of a parallelogram is fiven by the formula :
A = b*h b is the base (here y/2) and h the height (here 18/9)let's find y
a = [tex]\frac{y}{2}[/tex] * 9182.25*2 = y*9 364.5 = y*9 y = 364.5/9 y = 40.5Simplify the expression.
Write your answer without negative exponents.
Answers
Answer: [tex]\frac{5a^2}{-10a^4b^9}[/tex]
Step-by-step explanation:
Any negative exponent can be moved to the other side of the fraction as a positive exponent.
Thus, simply move the negative exponents to get: 5a^2/b*b^8*-10a^4. Then, use the exponent rule to get 5a^2/-10a^4b^9
Hope it helps <3
3. A un hombre le pagan doble el tiempo que trabaja por encima de las 40 horas. La
pasada semana, él trabajó 47 horas y recibió un cheque de $648.00. ¿Cuál es su
salario regular por hora?
Answers
Answer: Su salario regular por hora es $12
Step-by-step explanation:
Hola, para resolver este problema debemos plantear una ecuación:
A el hombre le pagan doble el tiempo que trabaja por encima de las 40 horas, el trabajo 47, o lo que es equivalente = 40+7.
Las primeras 40 horas recibió su salario regular por hora (x) y las otras 7 recibió el doble (2x). LA suma de esos productos da un total de $648.
Matemáticamente hablando:
40 x+ 7 (2x) = 648
Resolviendo para x (salario regular por hora)
40x +14x =648
54x =648
x = 648/54
x = 12
(Help Please It would be greatly appreciated) Which of these are true statements about the sine function? Choose all that are correct.
Answers
Answer:
A is wrong
B is correct
C is correct
D is wrong
E is wrong
F is correct
Step-by-step explanation:
Here, we want to select the correct options about the sine function.
A. is wrong
Let’s use a case of 30 degrees angle
Sin(-30) = -0.5
Sin(30) = 0.5
B is correct
sin(-30) = -0.5
-sin(30) = -0.5
C. C is correct
Sine function is an odd function.
By mathematical definition, we say a function is odd if for any value x of the function; f(-x) = -f(x)
This is obtainable and clear about the sine function from earlier options
D. Is wrong
E. is wrong
F. is correct
The period of the sine function is 2 pi
The period of a function is the time distance between two peaks or crests
Help!! Question on probability. Wi give brainliest!!
Melody randomly selected two apples without replacing the first apple from the crate containing 10 granny Smith apples, 14 Red delicious apples, four golden delicious apples, and 18 Braeburn apples. What is the probability that Melody selected a golden delicious apple first and a granny Smith apple second?
Answers
Answer:
[tex]P = \frac{5}{282} = 0.0177[/tex]
Step-by-step explanation:
First we need to find the total amount of apples in the crate:
Total = 10 + 14 + 4 + 18 = 46 apples
The probability of the first apple being a golden delicious apple is the number of those apples over the total number of apples:
[tex]P(golden) = \frac{N(golden)}{N(total)}[/tex]
[tex]P(golden) = \frac{4}{48} = \frac{1}{12}[/tex]
Then, the probability of the second apple being a granny Smith apple is the number of those apples over the total number of apples, but now the total number of apples is one less, because one apple was removed from the crate:
[tex]P(granny) = \frac{N(granny)}{N(total)-1}[/tex]
[tex]P(granny) = \frac{10}{47}[/tex]
The final probability we want is the product of those two probabilities:
[tex]P = P(golden) * P(granny) = \frac{1}{12} \frac{10}{47} = \frac{10}{564} = \frac{5}{282}= 0.0177[/tex]
Work out the equation of a line which has a gradient of 2 and passes through the point (1,4) plssss help me
Answers
Answer:
The equation of the line is
y = 2x + 2
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the gradient
c is the y intercept
From the question m is 2
Equation of the line using point (1,4) is
y - 4 = 2( x - 1)
y - 4 = 2x - 2
y = 2x - 2 + 4
y = 2x + 2
Hope this helps you
What is the value of x?
Answers
Answer:
The answer is option C.
Step-by-step explanation:
Angles in a triangle add up to 180°
To find x add up all the angles in the triangle and subtract it from 180°
Thus
x + 95 + 57 = 180
x = 180 - 152
x = 28°
Hope this helps
What is the equation of the translated function, g(x), if
f(x)=x²?
O g(x) = (x-4)2 + 6
O g(x) = (x + 6)2 - 4
O g(x) = (x - 6)2 - 4
O g(x) = (x + 4)2 + 6
Answers
Answer:
the answer is (x+6)2-4
The correct equation of the translated function, g(x) is,
⇒ g(x) = (x + 4)² 6
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
here, we have,
Given that:
The function is,
,⇒ f (x) = x²
Here, f(x) has vertex point is (0,0)
and g(x) vertex point is (-4,6)
Hence, The general form of equation with vertex is
⇒ y = a (x - h)² + k
where (h, k) are the vertex.
So, the equation of g(x) form is
⇒ g(x) = (x + 4)² + 6
Therefore, Option D is correct.
Learn more about the function visit:
brainly.com/question/11624077
#SPJ7
the area of a triangle 17.5 square meters. The height of the triangle is 3 meters less than twice it’s base. the base of the triangle is x meters
Answers
Answer :
Given that the base of the triangle is x m, the height is 3m less than twice it's base then the height will be represented by the equation:
(2x-3) m
Thus the area will be:
Area=1/2bh
Area=1/2x(2x-3)=17.5
x^2-1.5x=17.5
Writing the above equation is quadratic form of ax^2+bx+c=0 we get:
x^2-1.5x-17.5=0
what are the roots of the polynomial equation x⁴+x³=4x²+4x? use the graphing calculator and a system of equations.
-2,-1,0,2
-2,0,1,2
-1,0
0,1
Answers
Answer: A
Step-by-step explanation:
Determine if the equation defines y as a function of x: y2 = x2. yes or no
Answers
Answer:
no it's not, since y has two functions , a positive and negative in terms of x.
A bag contains 2 red beads, 1 yellow bead and 3 green beads. A bead is chosen at random. What is the probability that it is red? a) What is the probability that it is not yellow?
Answers
Answer:
Step-by-step explanation:
Total no of beads = 2 + 1 + 3 = 6
No of red beads = 2
p ( red ) = 2/6 = 1/3
No of non - yellow beads = 5
p ( yellow ) = 5/6
Hope this helps
plz mark as brainliest!!!!!!!!
Answer:
Step-by-step explanation:
There are total 6 beads in all.
2) Since there are 5 non-yellow beads, the probability that the bead is not yellow will be 5/6
Since there are 2 red beads, the probability that the bead is red will be 2/6 = 1/3
help me is due today. I will give brainliest if you answer first and if it is correct;)
Answers
Answer:
a) is correct3n + 5
1. Substitute the numbers
3(5) + 5 = 15 + 5 = 20
2. Substitute the second number
3(6) + 5 = 18 + 5 = 23
b) Numbers are 8 and 16.This is because I realized I got the number of 4 last because I did 1*2 = 2.
Then I did 2*2 = 4.
So you have to multiply by two to get the next number. Or you can put it to the 4th or 5th exponent of 2.
1. 1
2. 1*2 = 2
3. 2*2 = 4
4. 4*2 = 85. 8*2 = 16what is the fraction of 80/100=
Answers
Answer:
[tex] \frac{80}{100} = \frac{4}{5} [/tex]
80
——
100
What is the highest multiple that can go into both numbers, is it 10? 15? 20?
Lets try 20
80/20 = 4
100/20 = 5
4/5
someone help me asap
Answers
Answer:
43.3 m
Step-by-step explanation:
you can use Tangent and calculator or table to find it.
tan ∅ = opp/adj
tan 61° = r/24
1.804 = r/24
r = 1.084 * 24 = 43.297 m
r = 43.3 m
If the dimensions of a rectangular prism are 39 mm × 12 mm × 15 mm, then what is the surface area
Answers
Answer:
[tex]\huge\boxed{SA=2466\ (mm^2)}[/tex]
Step-by-step explanation:
The formula of a Surface Area of a rectangular prisms:
[tex]SA=2(lw+lh+wh)[/tex]
l - length
w - width
h - height
We have:
[tex]l=39mm;\ w=12mm;\ h=15mm[/tex]
Substitute:
[tex]SA=2\bigg((39)(12)+(39)(15)+(12)(15)\bigg)\\\\SA=2(468+585+180)\\\\SA=2(1233)\\\\SA=2466\ (mm^2)[/tex]
if U is the midpoint of CB, CU=18, and CB= 2x-10, then find x
Answers
Answer:
x = 23
Step-by-step explanation:
CU + UB = CB
Since U is the midpoint that means CU = UB = 18
18+ 18 = 2x-10
36 = 2x-10
Add 10 to each side
36+10 = 2x
46 =2x
Divide by 2
23 = x
Answer:
x = 23Step-by-step explanation:
CB/2 = CU
CB = (2)CU
2x - 10 = (2)18
2x - 10 = 36
Add 10 on both sides.
2x = 46
Divide both sides by 2.
x = 23
On a coordinate plane, 2 lines are shown. Line M N goes through (negative 4, 8) and (negative 4, negative 6). Line K L goes through (negative 8, 2) and (6, 2). How are lines KL and MN related?
Answers
Answer:
Perpendicular lines
Step-by-step explanation:
MN: (-4, 8) and (-4, -6), This line parallel to y-axis as as x-value doesn't change
KL: (-8, 2) and (6, 2), This line is parallel to x-axis as y-value doesn't change
The given lines are perpendicular as one is parallel to x, another one is parallel to y
in an abc triangle, the hypotenuse is 10 and the other sides are x, the measurement of angle B is 90 deg, what is the value of x
Answers
Answer:
x = [tex]5\sqrt{2}[/tex].
Step-by-step explanation:
The question says that the hypotenuse is 10, while the other two sides are both x. That means that the triangle is a 45-45-90 angle.
Because this is a 45-45-90 triangle, the proportions of the side lengths are 1-1-sqrt(2).
Since the hypotenuse is 10, and the side length is x, we can make a proportion.
[tex]\frac{10}{\sqrt{2}} =\frac{x}{1}[/tex]
[tex]x\sqrt{2}[/tex] = 10
x = [tex]\frac{10}{\sqrt{2} }[/tex]
x = [tex]\frac{10 * (\sqrt{2} )}{(\sqrt{2})(\sqrt{2} ) }[/tex]
x = [tex]\frac{10\sqrt{2} }{2}[/tex]
x = [tex]5\sqrt{2}[/tex]
Hope this helps!
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answers
Answer:
The speed of a car.
Step-by-step explanation:
All the other answers are discrete.
Answer:
second one
Step-by-step explanation:
The speed of a car is a data that changes over time and it is a countinuous data
While other examples are only discrete data since they contain quantities
For every 10 minutes that Tia plays on the computer, she plays outside
for 19 minutes. What is the ratio of minutes Tia plays on the computer
to minutes she plays outside?
Answers
Answer: 10:19
Step-by-step explanation:
Time she plays on computer = 10 minutes
Time she plays outside = 19
Ratio will be 10:19
Please Help me I am struggling a lot and I would be very grateful!!!
Answers
the way to find this is to divide 43 by 381 to get 11.2% which falls in the rage of 10-15%
Which equations represent the line that is parallel to 2x-7y=9 and passes through the point
(5-3) ? Select two options.
Answers
Answer:
e. 2x - 7y = 31.
Step-by-step explanation:
If you want a line parallel to the equation, the line must have the same slope.
2x - 7y = 9
-7y = -2x + 9
y = 2/7x - 9/7
You are looking for a line where the slope is 2/7.
a. Slope is 7/2.
b. Slope is -7/2.
c. Slope is 7/2.
d. Slope is...
y + 2 = 3/4x + 3
y = 3/4x + 1
Slope is 3/4.
e. Slope is -2/-7, which is 2/7. Just make sure to check whether it passes through (5, -3) by substituting those points into the equation.
2 * 5 - 7 * -3 = 31
10 --21 = 31
10 + 21 = 31
And there's your answer: e.
Hope this helps!