The correct answer is option B which is the pool must have been the same depth at the start of the interval as it was at the end of the interval.
What is the rate of change?The rate of change is defined as the changes that occur in any data with respect to time like changing of level of water respect to time. Changing of the position of any object with respect to time that is speed.
Here in the question, it is given that Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero. The meaning of this statement is that the level of the water in the pool is the same as that of the level two weeks ago.
Therefore the correct answer is option B which is the pool must have been the same depth at the start of the interval as it was at the end of the interval.
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radical 54 simplified
help meeeeee 1/2 X (6 X 4)+3 + 2
6x4=24
24x1/2=12
12+3=15
15+2=17
17 is the answer
Gail Stough is a customer service representative at an amusement park and earns $8.40 per hour. How much does she make in a week?
What is the length of the hypotenuse of the triangle?
Triangle A B C. Side A C is 7 feet and side C B is 4 feet. Hypotenuse A B is unknown.
StartRoot 22 EndRoot ft
StartRoot 33 EndRoot ft
StartRoot 57 EndRoot ft
StartRoot 65 EndRoot ft
Answer:
[tex]\sqrt{65}[/tex]
Step-by-step explanation:
[tex]a^{2}+b^{2}=c^{2}[/tex]
[tex]4^{2} +7^{2} =c^{2}[/tex]
[tex]16+49=c^{2}[/tex]
[tex]65=c^{2}\\\sqrt{65}=c[/tex]
Answer:
65
Step-by-step explanation:
The graph of y=f(x) is shown on the grid.
Use the graph to workout and estimate for f(2.5)
Check the picture below.
73-74 express the limit as a definite integral.
73. [tex]\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{i^{4}}{n^{5}}[/tex] [hint: consider [tex]$f\mleft(x\mright)=x^4$.\rbrack[/tex]
Pull out a factor of 1/n from the summand and the result follows.
[tex]\displaystyle \lim_{n\to\infty} \sum_{i=1}^n \frac{i^4}{n^5} = \lim_{n\to\infty} \frac1n \sum_{i=1}^n \left(\frac in\right)^4 = \boxed{\int_0^1 x^4 \, dx}[/tex]
Extra points and brainiest if you answer this correctly because i need some help!!
mrs. gold is planning a field trip for her class to the zoo. the zoo is 12 miles away. the map she uses has a scale of 1 inch to 3 miles. how far in inches is the zoo from the school on the map?
The zoo is 12 inches from the school on the map
How to determine the distance in inches?The given parameters can be represented using the following ratio:
Ratio = 1 inch : 3 miles
For 12 miles, we have:
Distance :12 miles = 1 inch : 3 miles
Multiply by 4
Distance :12 miles = 4 inches : 12 miles
By comparison, we have:
Distance = 12 miles
Hence, the zoo is 12 inches from the school on the map
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Aaron set the bottom of a ladder on the ground 10 feet from the house and it reached just to the bottom of the window he was about to clean. The bottom of the window is 38 feet off the ground. What is the angle between the ladder and the ground?
Answer:
36
Step-by-step explanation:
A^2+B^2=C^2
10^2+B^2=38^2
We are solving for B squared
So 100+B^2=1444
-100
1344 and now take the square root of that number and you have your answer of 36
I hope this helps and have a good night!
PLEASE HELP FAST WILL GIVE BRAINLIEST TO WHOEVER HAS IT RIGHT !!!!
An archer shoots an arrow up towards a target located on a hill, which is shown by the graph.
(85.21,12.78)
20 25
30 35
45 50 55 60 65 70 75
50
85
Which set of equations best models the point of intersection of the arrow and the target?
Oy = 0.002x² +0.25x + 6 and y = x
Oy = -0.002x² +0.25x + 6 and y = 0.15x
Oy = -0.002x² +0.25x + 6 and y = x
Oy = -0.002x² +0.25x + 6 and y = -x
The set of equation that models the point of intersection of the arrow
and the target is: y = -0.002x² +0.25x + 6 and y = 0.15x.
Set of equation that models the point of intersection
Given parameters:
Point of intersection of the line and the parabola=(85.21,12.78)
Hence:
First set
y = -0.002 × 48.67² + 0.25 × 85.21 + 6= 12.78
Linear function y ≠ x
Third set
y = -0.002 × 85.21² + 0.25 × 85.21+ 6= 12.78
y = C·x
12.78 = 85.21·x
C=12.78/85.21
C=0.149
C=0.15 (Approximately)
Hence:
y=0.15x
Therefore the set of equation that models the point of intersection of the arrow and the target is: y = -0.002x² +0.25x + 6 and y = 0.15x.
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Round 381,726 to the nearest thousand
In the sequence $$1,2,2,4,8,32,256, each term (starting from the third term) is the product of the two terms before it. For example, the seventh term is $256$, which is the product of the fifth term ($8$) and the sixth term ($32$). This sequence can be continued forever, though the numbers very quickly grow enormous! (For example, the $14 term is close to some estimates of the number of particles in the observable universe.) What is the last digit of the $35 term of the sequence
The sequence is recursively defined by
[tex]\begin{cases}a_1 = 1 \\ a_2 = 2 \\ a_n = a_{n-1} a_{n-2} & \text{for } n \ge 3\end{cases}[/tex]
By this definition,
[tex]a_{n-1} = a_{n-2} a_{n-3} \implies a_n = a_{n-2}^2 a_{n-3}[/tex]
[tex]a_{n-2} = a_{n-3} a_{n-4} \implies a_n = (a_{n-3} a_{n-4})^2 a_{n-3} = a_{n-3}^3 a_{n-4}^2[/tex]
[tex]a_{n-3} = a_{n-4} a_{n-5} \implies a_n = (a_{n-4} a_{n-5})^3 a_{n-4}^2 = a_{n-4}^5 a_{n-5}^3[/tex]
[tex]a_{n-4} = a_{n-5} a_{n-6} \implies a_n = (a_{n-5} a_{n-6})^5 a_{n-5}^3 = a_{n-5}^8 a_{n-6}^5[/tex]
and so on.
Recall the Fibonacci sequence, {1, 1, 2, 3, 5, 8, 13, 21, …}, where the next term in the sequence is the sum of the previous two terms. If [tex]F_n[/tex] is the n-th Fibonacci number, then continuing the pattern above we would arrive at
[tex]a_n = {a_2}^{F_{n-1}} {a_1}^{F_{n-2}} = 2^{F_{n-1}}[/tex]
Notice that the sequence of positive powers of 2 leaves a periodic sequence of residues mod 10 :
[tex]2 \equiv 2 \pmod{10}[/tex]
[tex]2^2 \equiv 4 \equiv 4 \pmod{10}[/tex]
[tex]2^3 \equiv 8 \equiv 8 \pmod{10}[/tex]
[tex]2^4 \equiv 16 \equiv 6 \pmod{10}[/tex]
[tex]2^5 \equiv 2 \times 2^4 \equiv 2 \times 6 \equiv 2 \pmod{10}[/tex]
[tex]2^6 \equiv 2^2 \times 2^4 \equiv 4 \times 6 \equiv 4 \pmod{10}[/tex]
and so on; the period of this sequence of residues is 4.
The period of [tex]F_n[/tex] taken mod 4 is 6 :
[tex]\{1, 1, 2, 3, 5, 8, \ldots\} \equiv \{1, 1, 2, 3, 1, 0, \ldots\} \pmod 4[/tex]
(This follows from the "properties" section in the link in comment. In this case, π(4) = 3/2 × 4 = 6.)
It follows that
[tex]34 \equiv 4 \pmod 6 \implies F_{34} \equiv 3 \pmod 4 \implies 2^{F_{34}} \equiv 2^3 \equiv 8 \pmod{10}[/tex]
which means the last digit of [tex]a_{35}[/tex] is 8.
the cost of the items in mindy's shopping cart is 67.39 if the sales tax applied to her purchase is 5% what is the total cost of the items in her cart?
Answer:
$70.76 or 70.7595
Step-by-step explanation:
Here’s the function:
67.39(1+0.05)^1
Hope this helps! ;-)
I need to know this asap
Answer:
Output: 3
Step-by-step explanation:
(x, y)
(Input, Output)
(2, 3)
Find the surface area of the composite figure.
Answer:
402.9092
Step-by-step explanation:
surface area of cylinder - top base = 301.5946
surface area of cone - base = 101.3146
add together 402.9092
Leave answer in the simplest radical form.
[tex]\frac{7x^-^3^/^2y^5^/^2z^-^2^/^3}{56x^-^1^/^2y^1^/^4}[/tex]
[tex]\cfrac{7x^{-\frac{3}{2}} ~~ y^{\frac{5}{2}} ~~ z^{-\frac{2}{3}}}{56 x^{-\frac{1}{2}} ~~ y^{\frac{1}{4}}}\implies \cfrac{7}{56}\cdot \cfrac{y^{\frac{5}{2}} ~~ y^{-\frac{1}{4}}}{x^{-\frac{1}{2}} ~~ x^{\frac{3}{2}} ~~ z^{\frac{2}{3}}}\implies \cfrac{1}{8}\cfrac{y^{\frac{5}{2}-\frac{1}{4}}}{x^{-\frac{1}{2}+\frac{3}{2}}~~ z^{\frac{2}{3}}}[/tex]
[tex]\cfrac{y^{\frac{9}{4}}}{8x z^{\frac{2}{3}}}\implies \cfrac{\sqrt[4]{y^9}}{8x\sqrt[3]{z^2}}\implies \cfrac{\sqrt[4]{y (y^2)^4}}{8x\sqrt[3]{z^2}}\implies \cfrac{y^2 \sqrt[4]{y}}{8x\sqrt[3]{z^2}}[/tex]
Which of the following is a radical equation?
Ox√3=13
O x+√3=13
O√x+3=13
O x+3=√13
Answer:
The answer is c because of how the equation is set and made
The radical equation is √x+3=13. Therefore, option C is the correct answer.
What is radical equation?A radical equation is an equation in which a variable is under a radical. To solve a radical equation: Isolate the radical expression involving the variable. If more than one radical expression involves the variable, then isolate one of them.
In option C, x is under radical, so it is radical equation.
Here, √x+3=13
√x=13-3
√x=10
Therefore, option C is the correct answer.
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1. Find the radian measure for 150 degrees.
2. Find the degree measure for π/2.
Please explain how you used the unit circle to solve these questions.
Answer:
Step-by-step explanation:
1. 150 * π/180
= 150π/180
= 5π/6
=2.62
2. π/2
π/2 * 180/π
= 90 degrees
Step-by-step explanation:
1)150° 's radian measure
[tex] \rm \implies150 \: Deg × π/180 = 2.618 \: Radians[/tex]
2)π/2 's degree measure
[tex] \rm \: \implies \: π/2 × 180/π= 180/2 = 90 \: degrees[/tex]
Basically,we need to use formulas to solve these type of sums.
(Look at image) Need help for question 5. Need this by tomorrow ASAP!
(Repost cuz it’s gonna be impossible for anyone to answer at the rate of questions asked)
Answer:
little falls has more
Step-by-step explanation:
show your work: little falls total rainfall is 1 6/8 and riverside is 1 5/8
use that to explain :) your welcome
Answer:
Riverside had the greatest rainfall total
Step-by-step explanation:
The total amount of rain in a city will be the sum of products of rain amount and days that got that amount. The city with the largest sum got the most rain. The difference in rainfall can be found by subtracting the lesser amount from the greater.
__
RiversideTotal rainfall in Riverside was ...
(1/8)×1 +(2/8)×3 +(3/8)×3 +(4/8)×1 +(5/8)×1
= (1 +6 +9 +4 +5)/8 = 25/8 = 3 1/8 . . . . inches
__
Little FallsTotal rainfall in Little Falls was ...
(1/8)×1 +(3/8)×1 +(4/8)×1 +(6/8)×2
= (1 +3 +4 +12)/8 = 20/8 = 2 1/2 . . . . inches
__
Riverside had more rainfall, because 3 1/8 is more than 2 1/2.
__
Without calculationYou can "cancel" dots that are in the same place on each plot. Doing so leaves Riverside with 3 dots at 2/8, 2 dots at 3/8, and 1 dot at 5/8. The remaining dots on the Little Falls plot are the 2 dots at 6/8.
The 3 dots at 2/8 add up to 6/8, as do the 2 dots at 3/8 on the Riverside plot. These two 6/8 values cancel the two 6/8 dots on the Little Falls plot. That leaves one uncancelled dot at 5/8 on the Riverside plot, indicating more rain fell at Riverside.
Find the area of the kite or rhombus.
Answer:
126 cm^2 (please mark me brainliest)
Step-by-step explanation:
(14x16)/2+(2*14)/2=
112+14=126
Describe the zero product property and explain how tu use it to solve (2x + 10) (x - 7) = 0
Answer:
See below
Step-by-step explanation:
Basically, when you have a product to two factors set equal to 0, you can use the Zero Product Property and make two separate equations, both set equal to 0, to find the roots for each factor:
[tex]2x+10=0\\2x=-10\\x=-5[/tex]
[tex]x-7=0\\x=7[/tex]
Notice that by plugging these roots back into the equation, either factor will be 0, making the whole expression 0:
[tex](2x+10)(x-7)=0\\(2(7)+10)(7-7)=0\\(24)(0)=0\\0=0[/tex]
[tex](2x+10)(x-7)=0\\(2(-5)+10)(-5-7)=0\\(0)(-12)=0\\0=0[/tex]
Liz had 10 candies. She ate 4 of them. How many candies are left?
Answer: 6
Step-by-step explanation: 10-4=6
A standard deck of 52 cards is shuffled. One card is drawn at random. The probability that the card is red or an ace is
Answer:
prob of being a red=1/2
prob of being an ace=1/13
Mr. Brown took his class to see a play. Each student ticket was $3.00. Each adult ticket was $5.00. The class spent a total of $190 on tickets. Write an equation in standard form to represent this situation.
In the following question solve for X please help!
Answer:
x = 6
Step-by-step explanation:
Taking the sides in proportion :
EB/DC = AB/AC8/24 = -3 + 2x/271/3 = -3 + 2x/273(-3 + 2x) = 27-9 + 6x = 276x = 36x = 6Step-by-step explanation:
If you have any question about the sollution, ask me
A map has a scale of 1 cm: 10 km. If Centerville and Greenwood are 40 km apart, then they are how far
apart on the map?
(Pls answer quick)
Answer:
4 cm
Step-by-step explanation:
1 cm : 10 km (given)-> 1*4 cm = 10*4 km (Multiply both sides by 4)-> 4 cm = 40 kmScale
1cm:10kmScale factor=10
Distance of Greenwood=40km
Now apart in map
40/104cmLearn with an example
on the last day of a shakespeare class, an english teacher asked her students which play
they liked most. out of the 12 students, 3 liked macbeth best.
what is the probability that a randomly selected shakespeare student likes macbeth best?
write your answer as a fraction or whole number.
p(macbeth) =
pls, help I will make you the branliest!
Answer:
See below
Step-by-step explanation:
Use protractor to measure the UNmarked angle (approx 135 degrees)
then subtract this value from 360 degrees to find the angle in question
write the ratio for the trig function indicated
Answer:
sin Θ = 11/19
Step-by-step explanation:
19 is the hypotenuse.
The legs are 11 and 4√15.
sin Θ = opp/hyp
For angle Θ, 11 is the opposite leg.
sin Θ = 11/19
Answer:
11/19 the other guys is correct
Step-by-step explanation:
Find the center and radius of the circle represented by the equation below.
x² + y²- 6x - 12y +29=0
Answer:
radius 4
center (3,6)
Step-by-step explanation:
(x - h)^2 + (y - k)^2 = r^2
coordinates of the center (h, k) and the radius is (r)
x² + y²- 6x - 12y +29=0
x² - 6x + y²- 12y +29=0
(x² - 6x) + (y²- 12y) +29=0
complete the square
(x² - 6x) + 9 + (y²- 12y) +36 +29= + 9 +36
(x² - 6x + 9) + (y²- 12y + 36) = + 9 +36 -29
(x-3)^2 + (y-6)^2 = 16
(x - h)^2 + (y - k)^2 = r^2
coordinates of the center (h, k) and the radius is (r)
center (3,6)
radius 4
cuemathcom
varsitytutors
Answer: Center: (3,2) Radius: 5
Step-by-step explanation:#x^2 - 6x +y^2 - 4y = 12
Then take 1/2 of the 'b' term for both quadratic expressions, square those values and add them to both sides.
#x^2 -6x + 9 + y^2 - 4y + 4 = 12 + 9 + 4
(x - 3)^2 + (y -2)^2 = 25
Circle centered at (3,2) with radius = 5
which statement is true about the result considering a significance level of 5%?
oA. the result is not statistically significant, which implies that this results could me due to random chance.
oB. The result is statistically significant which implies that spraying the corn plants with the new type of fertilizer does not increase the growth rate
oC. The result is not statistically significant which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate
oD. The result is statistically certificate which implies that spraying the corn plants with the new type of fertiliter does increase the growth rate
If the significance level is about 5% then the result is not statistically significant; which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.
What is the meaning of significance level?The term significance level has to do with the probability of rejecting the null hypothesis even though it is true.
The significance level tells us if a result is statistically significant. Thus, if the significance level is about 5% then the result is not statistically significant; which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.'
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A)The result is statistically significant, which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.
Did the project