Answer: Option D.
Step-by-step explanation:
Here we see the cross-section of a cone when it is cut by a plane that is parallel to the base of the cone.
As the plane is parallel to the base, we expect to see a figure that has the same shape as the base ( a circle) (you can think that over the plane we have a smaller cone, and the base of that cone also must be circular)
So the correct option is D.
Q5. Calculate the median value of this data set. 24 -8 -17 32 -1 -28
Answer:
The median value in this set is -4.5
Step-by-step explanation:
Reorder the numbers from least to greatest
-28,-17,-8,-1,24,32
Then, since there is 6 digits in this data set there is no defined median value. In the numbers 1 to 8 there are 8 different numbers, the middle of 1 to 8 is 4.5. Then since were using the numbers -8,-1 the middle is -4.5
Need Help!...anyone!
(a)
[tex] \sqrt[5]{ {x}^{3} } [/tex]
(b)
[tex] \sqrt[8]{x} [/tex]
(c)
[tex] \sqrt[3]{ {x}^{5} } [/tex]
(d)
[tex] \sqrt{ {x}^{3} } [/tex]
The population P of a culture of Pseudomonas aeruginosa bacteria is given by P = −1718t2 + 82,000t + 10,000, where t is the time in hours since the culture was started. Determine the time(s) at which the population was 600,000. Round to the nearest hour.
Answer:
Rounding to the nearest hour, the times at which the population was 600,000 was at 9 hours and at 39 hours.
Step-by-step explanation:
Determine the time(s) at which the population was 600,000.
This is t for which P(t) = 600000. To do this, we solve a quadratic equation.
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]
[tex]\bigtriangleup = b^{2} - 4ac[/tex]
In this question:
[tex]P(t) = -1718t^{2} + 82000t + 10000[/tex]
We have to find t for which P(t) = 600000. Then
[tex]600000 = -1718t^{2} + 82000t + 10000[/tex]
[tex]-1718t^{2} + 82000t - 590000 = 0[/tex]
So [tex]a = -1718, b = 82000, c = -590000[/tex]
Then
[tex]\bigtriangleup = 82000^{2} - 4*(-1718)*(-590000) = 2669520000[/tex]
[tex]t_{1} = \frac{-82000 + \sqrt{2669520000}}{2*(-1718)} = 8.8[/tex]
[tex]t_{2} = \frac{-82000 - \sqrt{2669520000}}{2*(-1718)} = 38.9[/tex]
Rounding to the nearest hour, the times at which the population was 600,000 was at 9 hours and at 39 hours.
maths
Ella mixes cordial and water in the ratio of 1:4 how much water should be mixed with 50ml or cordial
at the last minute deal Don and Mary booked a 7 day cruise for a total of $670. If the normal price for a couple is $1340, what discount percent did Don ans Mary recieve?
Answer:50%
Step-by-step explanation:670/1340 = 1/2 = 50%
What are the next two numbers in the pattern of numbers 45,15,44,17,40,20,31,25
Answer:
14, 32
Step-by-step explanation:
45,15,44,17,40,20,31,25
this is combination of 2 series:
45-44-40-31- ?15-17-20-25-?In the first series we can see the pattern as:
-1, -4, -9 = -1², -2², -3² so next difference must be -4², which is 31- 16= 14In the second series we can see the pattern as:
2, 3, 5 prime numbers, so next difference must be 7, which is 25+7=32The series will continue as:
45, 15, 44, 17, 40, 20, 31, 25, 14, 32Answer:
14, 32
Step-by-step explanation:
lol :D
Which is true about the polynomial-8m3+11m
Answer:
“It is a binomial with a degree of 3”
Step-by-step explanation:
Since it has just two different coefficients, it would be considered “binomial” for that reason. As you can notice, the highest degree is 3. So match those up and the correct answer would be the second choice “It is a binomial with a degree of 3”
Answer:
B
Step-by-step explanation:
PLEASE HELP
Compare the number of x intercepts of f(x)=x^2 and g(x)= (x-4)^2. Tell me the transformations involved and how g(x) moves from the parent graph.
Answer
g(x) moves 4 spaces to the left compared to f(x),
when g(4)=0 when f(0)=0
when g(3)=1 when f(-1)=1
...
and so on
1/4+3/8+1/2+5/8+7/8
Answer: 1/4+3/8+1/2+5/8+7/8
= 21/8
Hope this helps :)))
Answer:
21/8
Step-by-step explanation:
If log a = x and log b = y, then log (ab2) equals
1
1.
2 (x +y)
1
2.
x + 2 y
x + 2y
3
4.
2x + 2y
Su
uid Toolhar
Answer:
The answer for log(ab²) is x + 2y.
Step-by-step explanation:
You have to apply Logarithm Law,
[tex] log(a) + log(b) \: ⇒ \: log(a \times b) [/tex]
[tex] log( {a}^{n} ) \: ⇒ \: n log(a) [/tex]
In this question, you have to seperate it out :
[tex] log(a {b}^{2} ) = log(a) + log( {b}^{2} ) [/tex]
[tex] log( {b}^{2} ) = 2 log(b) [/tex]
[tex]let \: log(a) = x[/tex]
[tex]let log(b) = y[/tex]
[tex] log(a {b}^{2} ) = log(a) + 2 log(b) [/tex]
[tex] log(a {b}^{2} ) = x + 2y[/tex]
helpppppppppppppppppppppppppppppppppp
Answer:
answer is 2/3
Step-by-step explanation:
probability it is an eclair is 1/15=3/(3+2x+6+x)= 1/(x+3)
so x+3=15 and then x = 12
so the probability it is a humbug is (2*12+6)/(3*12+9) = 30/45 = 2/3
"Children under the age of 13 are not allowed to operate a boat." Part A: Write an inequality to show the age of children who are allowed to operate a boat. (5 points) Part B: Describe in words how you can show the solution to this inequality on a number line. (5 points)
Answer:
X ≤ 13
Step-by-step explanation:
Part A: X ≤ 13
Part B: Draw a closed circle from 13 and up on the number line.
Make the arrow look like this >.
The inequality will be x ≥ 13. The age of the person should be greater than or equal to 13.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
“Children under the age of 13 are not allowed to operate a boat.”
Let x be the age of the person.
The inequality to show the age of children who are allowed to operate a boat will be
x ≥ 13
The age of the person should be greater than or equal to 13.
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ2
Caroline, krutika and Natasha share some sweets in the ratio 4:5:1
Answer:
Ratio 4 is for Caroline, ratio 5 is for krutika, ratio 1 is for Natasha
please need help asap!
Answer:
2/8 or 1/4
Step-by-step explanation:
There are 4 sections so if you spin it twice, we would double it so we have 2/8 and simplified to 1/4
I hope it helps you!
can someone please help me it’s urgent!!!!!
Answer:
6/4
Explanation:
If Alex can file the papers in the cabinets for 6 hours and 4 hours with Millie, then the fraction to represent the papers filed with Millie would be 6/4.
Hope this helps!
THIS QUESTION IS KILLING ME
Calculate the volume of the object by using the triple integral.
The volume of the solid (call it S) in Cartesian coordinates is
[tex]\displaystyle\iiint_S\mathrm dV=\int_{-1}^1\int_{-\sqrt{1-x^2}}^{\sqrt{1-x^2}}\int_{(x^2+y^2)^2-1}^{4-4(x^2+y^2)}\mathrm dz\,\mathrm dy\,\mathrm dx[/tex]
but I suspect converting to cylindrical coordinates would make the integral much more tractable.
Take
[tex]\begin{cases}x=r\cos\theta\\y=r\sin\theta\\z=z\end{cases}\implies\mathrm dV=r\,\mathrm dr\,\mathrm d\theta\,\mathrm dz[/tex]
Then
[tex]4-4(x^2+y^2)=4-4r^2=4(1-r^2)[/tex]
[tex](x^2+y^2)^2-1=(r^2)^2-1=r^4-1[/tex]
and the integral becomes
[tex]\displaystyle\iiint_S\mathrm dV=\int_0^{2\pi}\int_0^1\int_{r^4-1}^{4(1-r^2)}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta[/tex]
[tex]=\displaystyle2\pi\int_0^1r(4(1-r^2)-(r^4-1))\,\mathrm dr[/tex]
[tex]=\displaystyle2\pi\int_0^1r(5-4r^2-r^4)\,\mathrm dr[/tex]
[tex]=\displaystyle2\pi\int_0^15r-4r^3-r^5\,\mathrm dr[/tex]
[tex]=2\pi\left(\dfrac52-1-\dfrac16\right)=\boxed{\dfrac{8\pi}3}[/tex]
ps help me with this its urgent❤
Use the properties of exponents to simplify the expression. (photo attached)
Answer:
y^6/x^2
Step-by-step explanation:
(y^3/2x^-1/2)^4= y^(4*3/2)x^(-1/2*4)=y^6x^-2= y^6/x^2
I NEED HELP PLEASE I have been on this question for a hour
Answer:
A-8
Step-by-step explanation:
Any other higher number plugged in makes the equation false
An engineer believes that there is a linear relationship between the thickness of an air filter and the amount of particulate matter that gets through the filter; that is, less pollution should get through thicker filters. The engineer tests many filters of different thickness and fits a linear model. If a linear model is appropriate, what should be apparent in the residual plot
Answer:
There should be no pattern in the residual plot.
Step-by-step explanation
Remember a residual plot is calculating if a linear model is appropriate or not and since the engineer is trying to find a linear relationship with his air filters then he should be looking for no pattern.
Here, we are required to determine what should be apparent in the residual plot.
The residual plot will have a negative slope, i.e the residual plot descends from the top left to the bottom right.
According to the Engineer's believe, the thicker the air filter, the less pollution that gets through it.
By plotting each of the quantities on either of x and y axis on the residual plot, The residual plot therefore, has a negative slope.
Read more:
https://brainly.com/question/7412322
Please answer this correctly
Answer:
1.5 meters
Step-by-step explanation:
The formula for the area of a trapezoid is h * (a+b)/2, where a is the first base and b is the second base. Now, we can work backwards to determine the height of the trapezoid:
3.75=h*(1.7+3.3)/2
3.75=h*2.5
h=3.75/2.5=1.5
Hope this helps!
Answer:
Step-by-step explanation:
use the formula and rearrange for h.
1/2 x h x (a + b) = A
1/2 x (1.7 + 3.3) x h = 3.75
2.5 x h = 3.75
h = 1.5
hope this helps! :)
NEED ASAP!!!!
Which equation represents the grafted function
Answer:
sorry i meant c
Step-by-step explanation:
Shiva brought $39.00 to the state fair. She bought a burger, a souvenir, and a pass. The burger was 1/3 as much as the souvenir, and the souvenir cost 1/2 the cost of the pass. Shiva had $4.00 left over after buying these items.
Pass = $21 , Souvenir = 2x/3 = $14 , Burger = x/6 =$3.5 .
A 120-gallons (gal)tank initially contains 90 lb of a salt dissolved in 90 gal of water. Brine containing 2 lb/gal of salt flows into the tank at the rate of 4gal/min. The mixture is kept uniform by stirring, and the stirred mixture flows out at the rate of 3gal/min. How much salt does the tank contain when it is full
Answer:
The tank will contain 202 Ib of salt when it's full.
Step-by-step explanation
To find the amount of salt in the tank at time t= x(t)
If x(0)= 90Ib
To find the volume of the tank at time t
V(t)= 90+(4-3)t=90+t gal
Other solutions are found attached
You have been hired to assist in the data analysis at the court level (judge-level analysis will be done at a later time). You must use your knowledge of probability and conditional probability to help determine the likelihood of appeal and reversal for cases handled by different courts. Which outcome has the highest probability of occurring based on the data? a. A case in Domestic Relations Court being reversed b. A case in Common Pleas Court being reversed c. A case in Municipal Court being reversed d. There is not enough information to determine the answer
ANSWER: "There is not enough information to determine the answer". Option D is correct.
Step-by-step explanation:
For a case that was ruled by a court to be reversed by a higher court, they must be conditions in the ruling of the lower court that has been reconsidered by the higher court. This is regardless of the jurisdiction of the court or judge that ruled the case.
A case from all the courts in the options can be reversed by a higher court if the courts judgement lacks merit by the higher court, at any given times, irrespective of the court.
Write an equation of a line that contains the following two points in slope intercept form
(-2,4) (3,-1)
Answer:
y = -x + 2
Step-by-step explanation:
The slope intercept form equation of this line can be written like this :
y = my + p ; where m is the slope and p is the y intercept.
[tex]m = \frac{-1-4}{3-(-2)} = \frac{-5}{5} =-1[/tex]
then the equation becomes y = -x + p
(-2,4) is a point of the line means 4 = -(-2) + p
then p = 4 - 2 = 2
finally, y = -x + 2
Combine these radicals. -3sqrt(of81)+sqrt(of16)
Answer:
-23
Step-by-step explanation:
y
The figure shows A XYZ. XW is the angle
bisector of ZYXZ.
8
6.5
W
What is W Z?
Enter
your answer in the box. Do not round
your answer.
x
Z
6
units
Basic
Answer:
3.84 units
Step-by-step explanation:
By the properties of angle bisectors, ...
WZ/ZX = WY/YX
Solving for WY, we have ...
WY = (YX)(WZ)/(ZX) = (6.5/6)(WZ)
The length YZ is ...
YZ = 8 = WY +WZ
8 = (6.5/6)(WZ) +WZ = 12.5/6(WZ) . . . . substitute for WY
WZ = 8(6/12.5) . . . . multiply by 6/12.5
WZ = 3.84
Answer:
The correct answer is indeed 3.84 units
Step-by-step explanation:
I just took the test and got it correct hope this helps ☺
Given the following, determine the set (A'U B')∩C.
U = {x |x ∈ N and x < 10}
A = {x | x∈ N and x is odd and x < 10)
B = {x|x ∈ N and x is even and x < 10}
C = {x|∈E N and x < 8)
Answer:
n +10 =20
Step-by-step explanation:
answer =20 . thank God
A battery with 20 percent of its full capacity is connected to a charger. Every minute that passes, an additional 5% , percent of its capacity is charged.
Answer:
y = 5x + 20
Step-by-step explanation:
The initial percent is 20.
Every minute, the percent goes up 5%, so the slope is 5.
So the equation of the line is y = 5x + 20.
What is the value of Y ? I’ll give you a brainslist !!!
[tex]answer \\ = 5 \sqrt{3} \\ please \: see \: the \: attached \: picture \: for \: \: full \: solution \\ hope \: it \: helps[/tex]
Answer:
[tex]5 \sqrt{3} [/tex]
First answer is correct
Step-by-step explanation:
[tex] \frac{5}{x} = \cos(60) \\ \frac{5}{x} = \frac{1}{2} \\ x = 10 \\ \frac{y}{x} = \sin(60 ) \\ \frac{y}{10} = \frac{ \sqrt{3} }{2} \\ 2y = 10 \sqrt{3} \\ y = \frac{10 \sqrt{3} }{2} \\ y = 5 \sqrt{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!