Answer:
Step-by-step explanation:
[tex]Let\ say\ r \ the \common\ ratio:\\a)a_4=r^2*a_2=9*a_2\Longrightarrow\ r=3\ (not\ -3\ since\ parts\ are\ positive)\\\\b)\\\displaystyle \sum_{i=1}^{n} a_i =a_1+a_2+a_3+...+a_n\\\\=a_1+a_1*r+a_1*r^2+a_1*r^3+...+a_1*r^{n-1}\\\\=a_1*(1+r+r^2+...+r^{n-1})\\\\=a_1*\dfrac{r^n-1}{r-1} \\\\147620=5*\frac{(3^n-1)}{3-1} \\\\3^n-1=\frac{2*147620}{5} \\\\3^n=59049 \\\\n*ln(3)=ln(59049)\\\\n=\dfrac{ln(59049)}{ln(3)} \\\\n=10\\\\a_n=5*3^{10-1}=5*19683=98415(cm)[/tex]
Which number is irrational? explain why?
a) -(9) b) 4.0005
c)2.17 d) (40)
Answer:
√40 is an irrational number
Step-by-step explanation:
"An irrational number is a real number that cannot be expressed as a ratio of integers, for example, √ 2 is an irrational number."
What is the Answer of this simplified? 2a+4b-11ab-6b
Answer:
2a - 2b - 11ab
Step-by-step explanation:
2a + 4b - 11ab- 6b
subtracting:
4b - 6b(4 - 6)b-2bsimplify like terms by subtracting or adding.
➡️ 2a - 2b - 11ab
Find the greatest common factor (GCF) of 64 and 72.
A. 4
B. 8
C. 9
D. 12
SUE
Answer:
8 is the answer. hope you are clear now.
"LiFe Is LiKe A bOx Of ChOcOlAtEs YoU nEvEr KnOw WhAt YoUr GoInG tO gEt" Forest Gump
Answer:
yes this quote isabsolutely right as
life is very innocent , we can make our life whatever we like
help pls its ez :))))))))))))))))
Answer:
Yes
Step-by-step explanation:
6 × 18.75 = 112.50
8 × 18.75 = 150.00
11 × 18.75 = 206.25
Please help I need this for a study guide
Answer:
-1.3w - 12
Step-by-step explanation:
6.2 + 8.9w - 12 - 11.2w - 6.2
Combine like terms:
(8.9w - 11.2w) + (6.2 - 6.2 - 12)
-1.3w + (0 - 12)
-1.3w + (-12)
-1.3w - 12
This is as simple as you can go
x2 + 2xy + y2 - m2
Factorise
Answer:
x^2 + 2xy + y^2 - m^2
= (x+y)^2-m^2
Which graph is the graph of the function
r(x)=x^2+6x+8/2x+8?
Answer:
A is the answer
it's was helpful to you
Option (A) is correct.
To distinguish between the graph.
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
It is given that :
r(x)=[tex]\frac{x^{2}+6x+8 }{2x+8}[/tex]
To solve by the division method the points are (-2,0) and (0,1).
So, Option (A) is correct.
Learn more about graph here:
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Use the following terms in the same sentence: hypothesis, controlled experiment, and variable
Answer:
The scientist stated her hypothesis, set up a controlled experiment, and isolated the variable that could affect her work.
Solve the inequality.
3x + 10 < 3 or 2x – 5 > 5
Answer:
3x + 10 < 3
=> 3x < -7
=> x < -7/3
2x - 5 ≥ 5
=> 2x ≥ 10
=> x ≥ 5
Answer:
x < -7/3 or x > 5
.
Which of the following is
an irrational Number?
Answer:
C
Step-by-step explanation:
Because it has no pattern, isnt repeating, and isnt a whole number.
Are 8x²y and -5yx2 like terms? Explain.
Answer:
In algebra, like terms are terms that have the same variables and powers. ... Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power.
Answer:
These are not like terms.
Step-by-step explanation:
Although their variables are the same, the exponents are different. LIke terms must have the same variables AND same exponents. The first term's variables are: x raised to the second power times y, while the other term's variables are: y times x times 2
2x ≠ x²
Pencils cost at school $0.07 each A box holds 12 pencils how much does 2 boxes cost the school
Answer:
Below.
Step-by-step explanation:
0.07x12=0.84 x 2=1.68.
Find the least common multiple of 4 and 20
Answer:
Heya mate....
Step-by-step explanation:
This is ur answer.....
LCM of 4 and 20 is 20.Hope it helps!
Brainliest pls!
Follow me :)
Answer:
Technically, it could be one. since one goes into everything but I'm not sure if you're teacher accepts that answer. So 2. 2 goes into 4 two times and 2 goes into 20 ten times
Step-by-step explanation:
The zoo in Samir's city is building a new habitat for its 7 spider monkeys. The habitat will
have trees, ladders, and vines in a cube-shaped cage that measures 14 meters on each side.
What is the volume of the new monkey cage?
[tex]v = 2744 {m}^{3} [/tex]
Step-by-step explanation:
cube-shaped, 14m on each side.
volume...?
[tex]v = 14 \times 14 \times 14 [/tex]
[tex]v = {14}^{3} [/tex]
[tex]v = 2744 {m}^{3} [/tex]
The volume of the new monkey cage is 2744m^3
How to find the volume of cuboid?Let the three dimensions(height, length, width) be x, y,z units respectively.
Then the volume of the cuboid is given as
[tex]V = x \times y \times z \: \rm unit^3[/tex]
The formula for the volume of cuboid is V = s * s * s;
Where, s= side of the cage
s = 14 meters
V = 14 * 14 * 14
V = 2744 m^3
Therefore, the volume of cuboid will be 2744m^3
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Simplify the following expression
by combining like terms.
-2a+2+a+6=[?]a+[ ]
Answer:
-a + 8.
Step-by-step explanation:
-2a + 2 + a + 6
= -2a + a + 2 + 6
= -a + 8.
Answer:
-2a + a + 2 + 6 = [ a + 8]a + [ ]
= [ a+ 8 ]a +[ ]
= 2a + 8a
= 10a
Comprueba que la ecuación 3x + 3 = 9 tiene por solución x = 2; para ello sustituye
en la ecuación la incógnita x por 2:
3 • ___ + 3 = 9
2 es __________________ de la ecuación 3x + 3 = 9
AYUDAAAAAAAAA
Answer:
3 x 2 + 3 = 9 ✔️
2 es x de la ecuación 3x + 3 = 9
Si esto es correcto, por favor dígame Brainliest.
The cost of a repair, which depends on the hours of labor it takes to make the
repair, is $200. Which of the following best shows this is
otation?
A. Hours($200) = cost
B. Hours(cost) = $200
C. Cost(hours) = $200
D. Cost($200) = hours
Answer:
I think it's B. Hours(cost) = $200 but I could be wrong
How can I solve this problem?
Answer:
It just had relocation 4 in direction of positive and in term of x so
find f(x-5)
GL HF
The equation 1- 4/3 x = 1/2 (-x+7) has what type of solution set
Answer:
x = -15/4
Step-by-step explanation:
1 - 4/3x = 1/2(-x + 7)
~Simplify
1 - 4/3x = -1/2x + 7/2
~Subtract 1 from both sides
-4/3x = -1/2x + 5/2
~Add 1/2x to both sides
-2/3x = 5/2
~Multiply -3/2 to both sids
x = -15/4
Best of Luck~
Bert is on a Ferris wheel. The radius of the Ferris wheel is 6 metres. Its axle is 7 metres above the ground. It takes 100 seconds to complete one full revolution. Bert enters the Ferris wheel at its lowest height. The ride starts at 0 seconds.
Work or explanation must be provided for full marks. Answers involving radians will result in a mark of zero.
a) Sketch a height vs time graph of ONE cycle of Bert’s motion on the ride. Show at least 5 KEY POINTS and label them on your graph.
b) Determine an equation of the sinusoidal function h(t) to represent Bert’s journey, where h represents the height of the Ferris Wheel and t represents the time in seconds.
Choose the MOST appropriate sinusoidal function based on the information provided.
The motion of a Ferris wheel, spinning about a fixed axis is rotational motion
a) Please find attached the height vs time graph of ONE cycle of Bert's motion on the ride, showing 5 Key points, including; The period, amplitude, the vertical shift, horizontal shift, the neutral axis
b) The equation to represent Bert's journey is h(t) = 6·sin(3.6·(t - 25)) + 7
The reason the above equation are correct are:
The given parameters of the Ferris wheel are;
Radius, r = 6 meters
The height of the axle above the ground, h = 7 metres
The time it takes to complete one revolution, T = 100 seconds
The level at which Bert enters the Ferris wheel = The lowest level
The time at which the ride starts = 0 seconds
a) The graph of a Ferris wheel is a graph sinusoidal function with the following details
The general form of the sinusoidal function is, y = a·sin(b·(t - h)) + D
Amplitude = The radius = 6 meters
The vertical shift, D = The elevation of the axle above the ground = 7 meters
The period, T = 360/b
∴ b = 360/T = 360/100 = 3.6
At t = 0, sin(b·(t - h)) = -1
Given that sin(-90) = -1
Therefore; (3.6·(0 - h)) = -90
π/50 = -π/2
-h = -25
∴ The horizontal shift, h = 25
The function of the Ferris wheel is y = 6·sin(3.6·(t - 25)) + 7
The graph of the function is created on MS Excel, using the above sinusoidal equation of the Ferris wheel
The 5 key points included in the graph are;
The period, THorizontal shift, hAmplitude, aNeutral axisVertical shift, Db) The appropriate equation of the sinusoidal function of the Ferris wheel is determined from the general sinusoidal function equation, y = a·sin(b·(t - h)) + D, as follows;
From part (a);
a = 6, b = 3.6, h = 25, and D = 7
The equation of the sinusoidal function h(t) to represent Bert's journey, is h(t) = a·sin(b·(t - h)) + D
Where;
h = The height of the Ferris Wheel
t = The time in seconds
a = The amplitude = 7
b = The 360/(The period) = 3.6
h = The horizontal shift = 25°
D = The vertical shift = 7 meters
The MOST appropriate equation of the sinusoidal function h(t) is therefore;
h(t) = 6·sin(3.6·(t - 25)) + 7
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find an equation for the line below
Answer:
[tex]y=\displaystyle -\frac{1}{4}x+\displaystyle \frac{15}{4}[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept.
1) Determine the slope (m)
[tex]m=\displaystyle \frac{y_2-y_1}{x_2-x_1}[/tex] where two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
In the graph, two points are indicated: (-5,5) and (3,3). Plug these into the equation:
[tex]m=\displaystyle \frac{3-5}{3-(-5)}\\\\m=\displaystyle \frac{3-5}{3+5}\\\\m=\displaystyle \frac{-2}{8}\\\\m=\displaystyle \frac{-1}{4}[/tex]
Therefore, the slope of the line is [tex]\displaystyle -\frac{1}{4}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\displaystyle -\frac{1}{4}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=\displaystyle -\frac{1}{4}x+b[/tex]
Plug in one of the points we used earlier and solve for b:
[tex]3=\displaystyle -\frac{1}{4}(3)+b\\\\3=\displaystyle -\frac{3}{4}+b\\\\3+\displaystyle \frac{3}{4}=b\\\\\frac{15}{4} =b[/tex]
Therefore, [tex]\displaystyle \frac{15}{4}[/tex] is the y-intercept. Plug this back into [tex]y=\displaystyle -\frac{1}{4}x+b[/tex]:
[tex]y=\displaystyle -\frac{1}{4}x+\displaystyle \frac{15}{4}[/tex]
I hope this helps!
If F(x) = 4x - 1 and G(x) = x2 + 7, what is G(Fx))?
Step-by-step explanation:
gof(x)= g(f(x))
gof(x)= g(4x-1)
gof(x)= (4x-1)²+7
gof(x)=16x²-8x+1+7
gof(x)=16x²-8x+8
1) Alice is a truck driver who drives the same route every day for 5 days. On the
last day she takes a detour that adds 17.3 miles to her daily mileage. At the end
of the 5 days, Alice has driven 927.8 miles. How many miles does Alice drive on
her regular route when there is no detour?
Answer:
Alice drives 168.26 miles daily and 841.3 miles per 5 days on her regular route when there is no detour.
Step-by-step explanation:
First, we need to divide 927.8 miles by 5.
927.8 ÷ 5 = 185.56 is her daily mileage, including the detour.
Since her detour added 17.3 miles to her daily mileage, we need to subtract this from her current daily mileage.
185.56 - 17.3 = 168.26 is her daily mileage when there is no detour.
Now, in order to find her mileage for 5 days, we need to multiply this number by 5.
168.26 x 5 = 841.3
Therefore, Alice drives 168.26 miles daily and 841.3 miles per 5 days on her regular route when there is no detour.
3 points
Below are dot plots for three different data sets. The standard deviation for
these three data sets are given in the following table.
Standard deviation
Data Set
59
Looking at the dot plots and without calculating the
standard deviations, match the data sets to the
standard deviations.
Standard deviation of 5.9
Da Sot
Data Set
Standard deviation of 3.3
Data Set
10
15
20
Standard deviation of 23
Answer:
I don't understand this
Is -15/2 a rational number or integer or whole number or all of them??
Answer: Rational number
It is a rational number because it is a fraction of two integers. Those two integers being -15 and 2.
In general, any rational number is of the form P/Q where P and Q are integers. The Q cannot be zero. Another example of a rational number is 2/3. In this example, P = 2 and Q = 3.
Going back to -15/2, we would have P = -15 and Q = 2.
The fraction -15/2 is not a whole number nor is it an integer. This is because -15/2 = -7.5 and this is sufficient to see we don't have an integer result. We would need to have nothing after the decimal point to get a whole number.
Answer:
I don't really know
Step-by-step explanation:
Err.. sorry but i am in grade 6
The ratio of the areas of two right isosceles triangles are in the 16.25
Calculate the ratio of their corresponding heights.
Answer:
Ratio of area = 16:25
Step-by-step explanation:
ar(ABC)/ar(DEF) = side²/side'²
16/25 = s²/s'²
√(16/25) = s/s'
4/5 = s/s'
Ratio of side are 4:5
write down the degree of given polynomial 5x⁴+4x²+2x+1
Answer:
4
Step-by-step explanation:
To find the degree of a polynomial, identify the term with the greatest exponent. The exponent of that term is the degree of the polynomial.
In the given polynomial 5x⁴+4x²+2x+1, the term with the greatest exponent is 5x⁴. This term has an exponent of 4, so therefore, the degree of the polynomial is 4.
I hope this helps!
each day for several days, the charge in the price of a share of socks was -3$. The total charge in price during those days was -36$. Over how many days did the price decline
Answer: 12 days
Step-by-step explanation:
if the price is declining by -3$ then you just divide -36$by the -3$ and you get the amount of days it declined
Z= 1+2x,for x
Immediate help pls
Answer:
Z/2-1/2=x
Step-by-step explanation:
Z=1+2x
subtract 1 from both sides
Z-1=2x
divide both sides by 2
Z/2-1/2=x
Answer:
x= z-1/2 is the solution. thank you