Answer: Choice A.
- 4.5 because it is the negative number with the greatest absolute value.
===================================================
Explanation:
Stuff to the left is smaller than stuff on the right for any number line.
For example, we can say 2 < 5 since 2 is to the left of 5.
Another example: -7 < 4
To find the smallest item of your given list, we need to look at the value that is furthest to the left. That value would be -4.5 and this value is negative with the largest absolute value (i.e. it is furthest away from 0).
Check out the number line diagram below. It shows where all of the values are placed. We can see that -4.5 is the left-most item.
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!
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
Learn more about Ferris wheel, and sinusoidal function equation here:
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Alex said 20
2° = 1 and 5^1= 5.
True
False
Answer:
True
Step-by-step explanation:
Every number to the power of 0 is equal to one, so 2⁰ = 1 it's true
and every number to the power of 1 is equal to itself, so
5¹ = 5, also true
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
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.
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:
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
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.
.
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.
Convert 12.12 to a fraction
Answer:
303/25 is an equivalent fraction form for decimal 12.12.
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.
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~
"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
It costs $7 for a ticket to the Pike
football game and $2.50 per
snack. Write a function rule in
function notation for this
situation.
Answer:
let the number of snacks bought be x
f(x) = 7 +2.5(x)
=> f(x) is the amount you spend in total
I got he first day and can’t remember how to do this??
Answer:
area= 9 pi km²
circumference= 6 pi km
Step-by-step explanation:
area = pi r ²
so pi × 3²
area = 9 pi km²
circumference = d × pi
so 6 pi km
please solve these please
Answer:
A no. ans is 17a/20
B no. ans is 10c-7d/35
C no. ans is +1/−1⋅2/2⋅−1⋅3/2⋅−1⋅4
I only know this much answer.Sorry. but hope this is helpfull.true or false, in deductive thinking, you start with a given set of rules and conditions and determine what must be true as a consequence.
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
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
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
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
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
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
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!
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."
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.
A rock climber is descending down a 500-foot tall cliff. After 8 minutes, the rock climber
has descended to a height of 280 feet. Find the height as a linear function of time
We have that The height as a linear function of time is
[tex]x=-27.5T+500[/tex]
From the Question we are told that
Time t=8 minutes
Height h=500
Descended height h_d= 280 feet.
Generally the equation for the linear function is mathematically given as
Let
Height as a linear function =x
[tex]x=\frac{h_d-h}{t}*T+h[/tex]
[tex]x=\frac{280-500}{8}*T+500[/tex]
[tex]x=-27.5T+500[/tex]
In conclusion
The height as a linear function of time is
[tex]x=-27.5T+500[/tex]
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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