Answer:
Step-by-step explanation:
I will ASSUME you want the derivative with respect to "t" of the equation
f(t) = t³ + kt⁻¹
f'(t) = 3t² - kt⁻² which can also be 3t² - k/t²
Volume of the pedestal box
Answer:
112 in.³
Step-by-step explanation:
This box is a combination of two rectangular prisms:
bottom - 9 in. by 2 in. by 4 in.
top - 5 in. by 2 in. by 4 in.
total volume = 9 in. × 2 in. × 4 in. + 5 in. × 2 in. × 4 in.
total volume = 112 in.³
Answer:
its 112
Step-by-step explanation:
first see how it looks like 2 boxes on top of each other, break it into major parts then multiply depth by wighth by highth
What term best describes the graph of y=-15
Step-by-step explanation:
x,y = 0,-15
for another you have to draw Cartesian plane
Answer:
The answer is:- Zero slope
Step-by-step explanation:
Hope it helps you ✌️
72 is 45% of what number?
Answer:
160
Step-by-step explanation:
we have, 45%×x = 72
or, 45÷100×x = 72
multiplying both side by 100 and diving both side by 45,
we have x= 72×100÷45
x= 160 ANSWERAt a local college, 204 of the male students are smokers and 306 are non-smokers. Of the female students, 180 are smokers and 420 are non-smokers. A male student and a female student from the college are randomly selected for a survey. What is the probability that both are smokers?
Step-by-step explanation:
Male ratio: 204:306 = 2:3 (66%)
Female ratio: 180:420 = 3:7 (42%)
Hope that helps
Answer:
both are non smokers is 0.48.
please i need help with this
Answer:
1.) Smith
2.) Johnson
Answer:
Step-by-step explanation:
Which choice is equivalent to the product below?
v2.58
O A. 4./20
O B. 4/5
O C. 16.15
O D. 8/10
Answer: Choice B) [tex]\boldsymbol{4\sqrt{5}}\\\\[/tex]
Work Shown:
[tex]\sqrt{2}*\sqrt{5}*\sqrt{8}\\\\\sqrt{2*5*8}\\\\\sqrt{80}\\\\\sqrt{16*5}\\\\\sqrt{16}*\sqrt{5}\\\\\boldsymbol{4\sqrt{5}}\\\\[/tex]
The rule I'm using is [tex]\sqrt{x*y} = \sqrt{x}*\sqrt{y}[/tex]
Answer:
Option B
Step-by-step explanation:
√2 × √5 × √8
√2 × √5 × 2√2 [√8 = 2√2]
(√2 × √2) × √5 × 2
2 × √5 × 2
4√5
Option B is correct
work out the surface area of this solid prism
Answer:
5220
Step-by-step explanation:
1- 20x36/2 is 360
(360 x 2 is 720)
2. 25x50 is 1250
3. 29x50 is 1450
4. 36x50 is 1800
720+1250+1450+1800 is 5220
What is the solution for x in the equation
-4+5x-7=Okay 0+3x-2x
Answer:
X = 2.75 or 2 3/4 in fraction form
Step-by-step explanation:
We know that the variable X has to make both equations equal.
It is really just crossing out the options.
2.75 can fit in the X variable because if 2.75 was in both equations, the answer would be the same.
So the answer is 2.75
Hope this helps! :)
૮ ・ﻌ・ა
Please answer it....
If [tex]a\ \textless \ b[/tex], there are three ordered pairs of positive integers [tex](a,b)[/tex] that satisfy [tex]a^{2}+b^{2}=10(123)^{2}[/tex] If two of these ordered pairs are [tex](39,387)[/tex] and [tex](201,333)[/tex]. What is the third such ordered pair?
The third ordered pair that satisfy the given equation is (123, 369).
The given parameters;
[tex]a^2 + b^2 = 10(123)^2[/tex]First pair of the equation, = (39, 387)Second pair of the equation = (201, 333).The third ordered pair of the equation can be determined by using general equation of a circle;
[tex]a^2 + b^2 = r^2\\\\a^2 + b^2 = (123\sqrt{10} )^2\\\\a^2 + b^2 = (\sqrt{151290} )^2\\\\a^2 + b^2 = 151290\\\\a^2 = 151290- b^2\\\\ a= \sqrt{151290 - b^2}[/tex]
The radius of the circle is calculated as;
[tex]r^2 = 151290\\\\r = \sqrt{151290} \\\\r = 388.96[/tex]
The value of a can be obtained by randomly choosing numbers less than the radius as values of b.
[tex]b < r\\\\b < 388.96[/tex]
[tex]a = \sqrt{151290 \ - \ (387)^2} \\\\a = 39\\\\(39, \ 387)\\\\a = \sqrt{151290 \ - \ (333)^2}\\\\a = 201\\\\(201, \ 333)\\\\a = \sqrt{151290 \ - \ (369)^2}\\\\a = 123\\\\(123, \ 369)[/tex]
Thus, the third ordered pair that satisfy the given equation is (123, 369).
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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Use the domain {-3, -2, -1, 0, 1} and plot the points on the graph that would best satisfy the equation. The bold grid marks represent one unit, the horizontal red line represents the x-axis, and the vertical red line represents the y-axis.
y = 2-x
the side length of NS is 7.81 units.
Question 10 of 10
To model some data, Pat ran an exponential regression and found the
regression equation to be y = 0.496.1.3%,
The scatterplot and residual plot are shown.
Scatterplot
Residual plot
y
4
2
Select the true statements.
O A. The model is a good fit because the patterns in the plots are both
curves.
B. The points in the scatterplot follow a line, so a linear model would
fit the data better.
O C. The residual plot changes direction, so a quadratic model would
fit the data better.
D. The model is not a good fit because there is a pattern in the
residual plot.
Answer:
B.)The points in the scatterplot follow a line, so a linear model would fit the data better
A.)The model is not a good fit because there is a pattern in the residual plot.
Step-by-step explanation:
The linear model would best fit the scatter plot while the quadratic model would fit the residual plot. The true statements are: B and C.
What is a Linear Model and a Quadratic Model?A linear model is appropriate for data points that lie along a straight line on graph. If the line is not straight but curved and changes direction, a quadratic model is a better model for such data.
Thus, since the data points on the scatter plot are on a straight line, a linear model would fit the data.
For the residual plot that changes direction, a quadratic model would better fit the data.
The true statements are therefore: B and C.
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Help me pls :D Make the equations match with the number
Answer:
18 + s = 33 (drag to 15)
27 = 9 × s (drag to 3)
40 - s = 23 (drag to 17)
5 × s = 35 (drag to 7)
18/s = 3 (drag to 6)
m/5 = 10 (drag to 50)
m + 14 = 18 - m (drag to 2)
m + m + 12 = 22 (drag to 5)
n + 7 = 18 (drag to 11)
n-9 = 22 (drag to 31)
triangle abc was dilated from the orgin by a scale factor of 2 to create triangle A’B’C’ which statement explains why the triangles are similar ?
Answer:ABC was dilated from the origin by a scale factor of 2 to create Delta A'B'C' . Which statement explains why the triangles are similar? Dilations preserve side length; therefore, the corresponding sides of Delta ABC and Delta A'B'C' are congruent.
Step-by-step explanation:Googel
please this done soon asap
Answer:
x-variable
Step-by-step explanation:
When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable. We can eliminate the x-variable by addition of the two equations.
Answer:
1. Y is the variable terminated.
2. X = 1
3. Y = -1
4. (1,0) and (0,-1)
Step-by-step explanation:
After eliminating our Y variable we can solve for X. Our equation for X is 10x=10. After dividing both sides by 10 we get that X=1.
From there we can plug 1 of our previous equations. When we plug 1 in we get that both equations have an equal Y value of -1.
Our solution would be (1,0) and (0,-1)
You have a Right Triangle with side lengths of 9ft and 12ft; solve for its perimeter and area.
Step-by-step explanation:
of course, we have to use Pythagoras.
c² = a² + b²
c is the Hypotenuse = the side opposite of the 90° angle.
and here is the problem : are 9 and 12 the legs. or is one of them the Hypotenuse ?
I don't know from the description.
let's see what we get one way or the other :
assumption : the known sides are the "legs".
c² = 9² + 12² = 81 + 144 = 225
c = 15 ft
that is a nice number. so, it looks like that was the intention.
just to be sure, here also the other options :
9² = 12² + side²
81 = 144 + side² that makes side² negative, so, not valid.
12² = 9² + side²
144 = 81 + side²
63 = side²
side = sqrt(63) this is not a nice round number, so, we go with the first option.
therefore, the 3 sides are
9 ft, 12 ft, 15 ft
perimeter = 9+12+15 = 36 ft
area = baseline×height/2
since this is a right-angled triangle, the "legs" with the enclosed 90° angle serve as baseline and height.
area = 9×12/2 = 9×6 = 54 ft²
A six-sided number cube is rolled 500 times. The results are 280 even numbers and 220 odd numbers. How does the relative frequency of rolling an even number compare to the theoretical probability? Select from the drop-down menus to correctly complete the statements. The relative frequency of rolling an even number is Choose... the theoretical probability. The theoretical probability is Choose... and the relative frequency is Choose... .
Answer:
Choice B) experimental probability is larger
Step-by-step explanation:
There are 3 odd numbers (1,3,5) out of 6 total (1,2,3,4,5,6) on the number cube. So theoretically, the chances of rolling an odd number are 3/6 = 1/2 = 0.5
When we do the experiment, we roll an odd number 325 times out of 500 trials total. So the experimental probability is 325/500 = 0.65
Comparing the results of 0.5 and 0.65, we see that 0.65 is larger. So the experimental probability is larger.
Note: with a large number of trials, the experimental probability should get closer and closer to the theoretical probability. This is assuming that all trials are independent of one another and the number cube is properly weighted.
Answer:
1: greater than
2: 0.5
3: 59%
Step-by-step explanation:
I took the test and here is da proof:
{I left it blank on purpose so other can see the right answer (: }
The functions r and s are defined as follows.
r(x) = - 2x-1
s(x)=x2-1
=
Find the value of r(s (3)).
Answer:
r o s(3)=?
s(x)= x²-1
x=3
s(3)= 3²-1
s(3)= 9-1
s(3)=8
r(8)
r(x)= -2x-1
x=8
r(8)= -16-1
r(8)= -17
r(s(3))= -17
Sasha's SUV has a 17-gallon gas tank. The SUV gets an estimated 24 miles per gallon.
Approximately how many miles can the SUV run on half a tank of gas?
Answer:
The SUV can run 204 miles with half a gas of tank.
Step-by-step explanation:
Divide 17 by 2=8.5 gallons
Then do the formula for distance which is:
miles per gallon times gallon
24 times 8.5 would be 204
204 is your answer :3
-
Point K is on line segment JL. Given JK = 3 and KL = 8, determine the length
JL.
Answer:
JL = 11 units
Step-by-step explanation:
Add the units between JK and KL together to get the answer for JL
The equation y = 1/4x represents a proportional relationship. What is the constant of proportionality?
Answer:
The constant of proportionality is k=1/4
Step-by-step explanation:
For the equation y=kx, y varies directly with x with the constant of proportionality k. Therefore, k=1/4 is the answer.
It took Corinne 3 hours to do 12 pages of homework. How many pages of homework did she do per hour?
Answer: Check explanation.
Step-by-step explanation: If Corinne did 12 pages in 3 hours, then for each hour we have 12 by 3. We get 4, which means that every 1 hour she does 4 pages of homework. Hope this helped!
When will Road to a killcam 100 come out?
Answer:T he first season of Black Ops Cold War has been underway for almost a month now. The game has been having great success since it released back in November. One aspect of the multiplayer that a lot of players were disappointed with, was the lack of a final killcam.
Step-by-step explanation:
Answer:
The final Killcam is a Call of Duty staple. Every player in the game can see who got the final elimination of the game, and how they did it. The randomness is part of the fun; sometimes you’ll see an insane 360 Tomahawk kill, or you can have a good laugh at someone missing all of their shots before finally getting the elimination.
However, Black Ops Cold War has opted for a ‘Best Play’ system. Most of the time, you’ll see someone get a multi-kill from some point in the match. While you do often see impressive plays, the fun randomness element is mostly taken out and this has had a negative impact on Search and Destroy.
A Treyarch developer has now confirmed that they will be adding the final Killcam system to Cold War’s S&D in the future.
2 1/2 divided by 5/2
[tex]\dfrac{2 \tfrac 12 }{\tfrac 52}\\\\\\\\= \dfrac{\left(\tfrac 5 2\right)}{\left(\tfrac 52 \right) }\\\\\\\\=1[/tex]
True or false is 6x10^5 is 20 times as much as 3x10^4
answer
TRUE
HOPE IT WILL HELP YOU
A store clerk sold 25 Mathematics books and 10 English books for a total of $855. If she had sold 10 Mathematics books and 40 English books, she would have got $135 more. form a pair of linear equations and calculate the price of each book.
Answer:
855+135=990
90x11=990
10x11=110
25x11=275
110+275=385 990+110=1100
385+1100=1485
1485/11=135
the math books was $11 each so all to gether it is $275.
the english books was $65 each so all to gether it is 715.
275+715=990
Step-by-step explanation:
The required price of a Mathematics book is $27 and the price of an English book is $18.
What is the equation model?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Let's assume that the price of a Mathematics book is x dollars and the price of an English book is y dollars. Then we can form two equations based on the given information:
Equation 1: 25x + 10y = 855
This equation represents the total amount earned by selling 25 Mathematics books and 10 English books for $855.
Equation 2: 10x + 40y = 990
This equation represents the total amount that would have been earned by selling 10 Mathematics books and 40 English books for $135 more than the original total.
To solve for x and y, we can use elimination or substitution. Let's use elimination:
Multiplying Equation 1 by 4, we get:
100x + 40y = 3420
Now, we can subtract Equation 2 from this equation to eliminate y:
90x = 2430
x = 27
Substituting x = 27 into Equation 1, we can solve for y:
25(27) + 10y = 855
675 + 10y = 855
10y = 180
y = 18
Therefore, the price of a Mathematics book is $27 and the price of an English book is $18.
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The car arrives from city A to city B in 3 hours. How many hours will it take to go the same way if you increase the speed by 20%?
Given :-
The car arrives from city A to city B in 3 hours.Speed is increased by 20% .To find :-
The new time taken .Solution :-
Let us assume the distance between A and B be x and the initial speed by y . After 20% increase in the speed , new speed will be ,
[tex]\blue{\dashrightarrow} [/tex] Speed = 120y/100
[tex]\blue{\dashrightarrow} [/tex] Speed = 6/5y
• According to the Question ,
[tex]\red{\dashrightarrow} [/tex] Distance = Speed * Time
[tex]\blue{\dashrightarrow} [/tex] x = y * 3 hrs
[tex]\red{\dashrightarrow} [/tex] x = 3y
And ,
[tex]\blue{\dashrightarrow} [/tex] t = Distance/Speed
[tex]\red{\dashrightarrow} [/tex] t = x ÷ (6y/5)
[tex]\blue{\dashrightarrow} [/tex] t = 5x/6y
[tex]\red{\dashrightarrow} [/tex] t = 5 (3y)/6y
[tex]\blue{\dashrightarrow} [/tex] t = 5/2 hrs
[tex]\red{\dashrightarrow} [/tex] t = 2.5 hrs
Hence now it will take 2.5 hrs to go from A to B .
Answer:
Step-by-step explanation:
Let's say the distance between A and B is 3 miles (3, because I see a need to divide the distance by 3 hours to determine the car's speed). The actual distance makes no difference in the answer, since it is asking for a relative speed change (20%).
We find the speed to be 3 miles/3 hours, or 1 mph. A 20% increase in speed would be (1.20)(1) = 1.20 mph.
We can find the time for a 1.2 mph car to go 3 miles by:
(3 miles)/(1.2 mph) = 2.5 hours
=====
[Note that if we assumed a different distance, say 6 miles, we'd get the same result:
6 miles/3 hours = 2 mph
1.2*2 = 2.4 mph
New time = 6/2.4 = 2.5 hours; same as before]
help help help help math math
Answer:
[tex]2916^3\\[/tex]
Step-by-step explanation:
As the formula is [tex]\frac{4}{3}\pi \cdot r^3[/tex]
But we take [tex]\pi[/tex] as 3 so it would be [tex]\frac{4}{3}3\cdot r^3[/tex]
And the radius is 9 half of Diameter
We would write it like this
= [tex]\frac{4}{3}3\cdot 9^3[/tex]
Then when we solve it would become [tex]2916^3\\[/tex]
I hope this helps :)
someone help me with this it’s literally easy but i’m still having a hard time to do it
Answer:
m2= 83 m1=97 m4=83
Step-by-step explanation:
m3 and m1 are corresponding by being verticle so they're the same
m3 and m2 are supple whcih mean they add to 180, so subtract 180-97 which is 83.
m2 and m4 are corresponding by being verticle so they're the same
Not sure how this works as a fraction to place the dot in the right place
Answer:
You would place 7/6 one tick to the right of 1, and -2 5/6 one tick to the right of -3
Step-by-step explanation:
The equatorial radius of Earth is approximately 6 × 103 km, while the equatorial radius of Saturn is approximately 6 × 104 km. Which of the following is true?
A.
The equatorial radius of Saturn is approximately one hundred times that of Earth.
B.
The equatorial radius of Earth is approximately ten times that of Saturn.
C.
The equatorial radius of Saturn is approximately ten times that of Earth.
D.
The equatorial radius of Earth is approximately one hundred times that of Saturn.
Answer:
Step-by-step explanation:
C.
The equatorial radius of Saturn is approximately ten times that of Earth.
The ordinal is identical
The exponent of 10 is 4 - 3 = 1 greater for Saturn than for Earth
10¹ = 10 times