Answers
The depth of the water at the deepest point in the waterslide and to the nearest hundredth of a meter is approximately 0.19 meters. (Correct choice: A)
How to determine the depth of the water in a waterslide
In this question we should apply the concepts of right triangles and trigonometric functions to determine the height of the water within the waterslide. A geometric diagram of the cross section of the waterslide is presented below, which indicates the existence of circular symmetry.
Now we proceed to determine the height of the water:
cos α = (0.5 m/0.75 m)
α ≈ 48.190°
y = (0.75 m) · sin 48.190°
y = 0.559 m
x = 0.75 m - 0.559 m
x = 0.191 m
The depth of the water at the deepest point in the waterslide and to the nearest hundredth of a meter is approximately 0.19 meters. (Correct choice: A)
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Related Questions
Create and interpret tables.
ASSIGNMENT
y.=4x
Y2=422
Y3=4*
Complete the table for each function. Then
answer the questions that follow.
a=]; b=1; CE; d =
d=O
e=;f=
=
f=9=
DONE
0
0
0
1
1
4
a
b
2
С
16
d
3
e
f
g
Answers
Answer:
a = 16 b = 4 c = 8 d = 16
e = 12 f = 36 g = 64
Step-by-step explanation:
a.
Equation = [tex]y_x = 4x^{2} \\x = 1\\y_1 = 4(1)^{2} \\y_1 = 4^{2} \\y_1 = 16 \\[/tex]
b.
Equation: [tex]y_x = 4^{x} \\x = 1\\y_1 = 4^{1}\\y_1 = 4[/tex]
c.
Equation: [tex]y_x = 4x\\x = 2\\y_2 = 4(2)\\y_2 = 8[/tex]
d.
Equation: [tex]y_x = 4^{x}\\x = 2\\y_2 = 4^{2}\\y_2 = 16[/tex]
e.
Equation: [tex]y_x = 4x\\x = 3\\y_3 = 4(3)\\y_3 = 12[/tex]
f.
Equation: [tex]y_x = 4x^{2} \\x = 3\\y_3 = 4(3)^{2} \\y_3 = 4(9)\\y_3 = 36[/tex]
g.
Equation: [tex]y_x = 4^{x}\\x = 3\\y_3 = 4^{3}\\y_3 = 64[/tex]
The missing values for the function are
a= 4
b=4
c=8
d=16
e=12
f= 36
g=64
What is Function?In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable.
We have the table for three function.
Now, to find the following we have find the rate of change.
Function 1 : y= 4x
At x = 2 ; y= 8
At x= 3; y= 12
Function 2: y= 4x²
At x =1 ; y= 4
At x= 3; y= 36
Function 3 : y= [tex]4^x[/tex]
At x =1 ; y= 4
At x = 2 ; y= 16
At x= 3; y= 64
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When Camden runs the 400 meter dash, his finishing times are normally distributed with a mean of 75 seconds and a standard deviation of 3 seconds. What percentage of races will his finishing time be between 69 and 75 seconds, to the nearest tenth?
Answers
Answer
60%
Step-by-step explanation:
Im not certain but i think its 60%,because the standard deviation is 6 and that as a percent is 60%
The graph shows a player’s monthly home run total in two seasons.
a. Find the standard deviation of the scores of the monthly home run totals in the player’s rookie season and interpret the results. Round to the nearest hundredth.
The standard deviation is about __. The typical number of home runs differs from the mean by about __ home runs.
b. Find the standard deviation of the scores of the monthly home run totals in this season and interpret the results. Round to the nearest hundredth.
The standard deviation is about __
The typical number of home runs differs from the mean by about __ home runs.
Answers
a) standard deviation of the scores of the monthly home run totals in the player’s rookie season will be 1.29
b) The standard deviation of the scores of the monthly home run totals in this season will be 2.738
What is standard deviation?Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.
a)The standard deviation of the scores of the monthly home run totals in the player’s rookie season:-
The data from the graph will be
1,0,6,2,0,2
Standard deviation is calculated as:-
[tex]\sigma = \dfrac{\sqrt{\sum(x-\mu)^2}}{N}}[/tex]
[tex]\mu = \dfrac{1+0+6+2+0+3}{6}=2[/tex]
Putting the values we get
[tex]\sigma = \dfrac{\sqrt{(1-2)^2+(0-2)^2+(2-2)^2+(0-2)^2+(3-2)^2}}{6}}=1.29[/tex]
Hence standard deviation is 1.29
b)The standard deviation of the scores of the monthly home run totals in this season
The data from the graph will be
4,6,4,8,7,13
Standard deviation is calculated as:-
[tex]\sigma = \dfrac{\sqrt{\sum(x-\mu)^2}}{N}}[/tex]
[tex]\mu = \dfrac{4+6+4+8+7+13}{6}=7[/tex]
Putting the values we get
[tex]\sigma = \dfrac{\sqrt{(4-7)^2+(6-7)^2+(4-7)^2+(8-7)^2+(7-7)^2+(7-13)^2}}{6}}=2.738[/tex]
Hence standard deviation is 2.738
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Can someone please solve for me
Answers
Let x = 0.263263263…
Then 1000x = 263.263263263…
Subtracting x gives
1000x - x = 263.263263263… - 0.263263263…
999x = 263
x = 263/999
Mathew sells half the books in his library. After
he does this, he buys 6 more books. Now he has
102 books. How many books did he have to start
with?
Answers
102 - 6 = 96
Then, multiply 96 by 2 to get 192, the original amount Matthew had.
The number is between 500 and 510 it is an odd number its one place has the smallest 1 dugit number
Answers
Answer:
501
Step-by-step explanation:
Odd numbers between 500 and 510 are 501,503,505,507,509. Out of them the number has its one place the smallest 1 digit number is 501
Can anyone help solve this step by step?
Answers
Answer:
85.2
Step-by-step explanation:
Pictures below show my steps
so then just do 39.6+45.6
how do i do this?????
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve for x and y ~
Since the given triangle is a right angled triangle, we can use Trigonometric ratios here to get the required values
[tex]\qquad \sf \dashrightarrow \: \tan(45 \degree) = \dfrac{y}{2 \sqrt{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: 1= \dfrac{y}{2 \sqrt{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \:y = 2 \sqrt{2} \: \: units[/tex]
Now, let's get to x ~
[tex]\qquad \sf \dashrightarrow \: \sin(45 \degree) = \dfrac{y}{x} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{ \sqrt{2} } = \dfrac{2 \sqrt{2} }{x} [/tex]
[tex]\qquad \sf \dashrightarrow \:x = 2 \sqrt{2}{} \times \sqrt{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:x = 2 \times 2[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 4 \: \: units[/tex]
I hope you understood the whole procedure ~
I need help with this
Answers
Answer:
a. 0.444444
b. 0.87
Step-by-step explanation:
a. (-2).(-4.5)
= -2 / -4.5
= 0.44444
u will do the same to the second question
Help me pleaseeeeeee
Answers
Answer:
See below ~
Step-by-step explanation:
A lies between 665 and 670.
Let's answer the questions asked.
A rounded to the nearest ten
As the ones place value of A is clearly greater than 5, it will round upThe nearest ten is 670A rounded to the nearest hundred
As the tens place value of A is greater than 5, it will round upThe nearest hundred is 700Answer:
try 660
Step-by-step explanation:
because get to think it already says 670 and 680 so i believe the answer is 660
A coin is flipped 150 times the results of the experiment are shown below
Heads 84
Tails 66
Witch of the fallowing statements BEST describes the experimental probability of getting heads
Answers
Answer:
See below
Step-by-step explanation:
66 out of (84+66) = 66/150 = 11/25 experimental chance of heads
this is 6% LOWER than the theoretical chance of getting heads (which is 1/2).
Andrew and Katherine rode their bikes and met at a park.
Andrew’s house was 8 miles from the park, Katherine’s house was 5 miles from
the park. They each left their house at the same time and Andrew arrived 10
minutes after Katherine arrived. Katherine’s average speed was 2 mph slower
than Andrew’s average speed. {hint: UNITS matter!}
a. Write an equation to represent this data.
b. What was Andrew’s average speed?
Answers
Answer:
10 min = 1/6 hour
Now we make Andrew's average speed v mph so Katherine's average speed is (v-2) mph
a. 8/v - 5/v-2 = 1/6 [distance = speed x time]
b. 8/v - 5/v-2 = 1/6 , v > 2
8/v - 5/v-2 = 1/6 = 0
48(v-2) -30v-v-(v-2)/6v(v-2) = 0 [transform the expression]
20v-96-v^2/6v(v-2) = 0
20v-96-v^2 = 0
(v-8)(v-12) = 0
{v1=8}
{v2=12}
Step-by-step explanation:
Point P has the coordinates (−2,−4). Point P is dilated with a center at the origin and a scale factor of 3 to create point P'. What are the coordinates of point P'?
A) (6,12)
B) (1,−1)
C) (−2/3,−4/3)
D) (−6,−12)
Answers
Dilation centred at origin
So new coordinates are same like previous
Now scale factor is 3
So P':-
3(-2,-4)(-6,-12)Option D
Answer:
D) (−6, −12)
Step-by-step explanation:
Dilation: A type of transformation that makes the pre-image larger or smaller without changing its shape.
Center of a dilation: a fixed point about which all points are dilated.
When the center of dilation is the origin (0, 0), simply multiply the coordinates of the points of the pre-image by the scale factor to determine the points of the image after dilation.
Given:
Point P = (-2, -4)Center of dilation = (0, 0)Scale factor = 3Therefore:
⇒ P' = (-2 × 3, -4 × 3)
⇒ P' = (-6, -12)
Simplify the expression.
Answers
Answer:
D
Step-by-step explanation:
Given :
[tex]\sqrt[5]{224x^{11}y^{8} }[/tex]Solving :
The maximum number of x we can bring out is 11/5 = 2The maximum number of y we can bring out is 8/5 = 1The maximum number of 2 we can bring out : 224 = 2⁵ x 7 = 5Hence :
[tex]\sqrt[5]{224x^{11}y^{8} }[/tex]2x²y [tex]\sqrt[5]{7xy^{3} }[/tex]DAnswer:
D. [tex]\huge 2x^2y\sqrt[5]{7xy^3}[/tex]
Step-by-step explanation:
[tex]\huge\sqrt[5]{224.x^{11}.y^8}[/tex] (Given)[tex]=\huge\sqrt[5]{2^5.7.x^{10+1}.y^{5+3}}[/tex] [tex]=\huge\sqrt[5]{2^5.7.x^{10}.x.y^{5}.y^3}[/tex] [tex]=\huge 2.x^2.y\sqrt[5]{7.x.y^3}[/tex] [tex]=\huge 2x^2y\sqrt[5]{7xy^3}[/tex]here is another one for you all
Answers
Answer:
0.0000045
[tex]10^5 = 10 * 10 * 10 * 10 * 10 = 100,000\\\\0.45 / 100,000 = 0.0000045[/tex]
When it comes to tiny floating numbers, that means multiply a number by itself the number of times the floating exponent says to.
Answer:
[tex]0.0000045[/tex]
Step-by-step explanation:
Rewrite it as a fraction:
[tex] \frac{0.45}{ {10}^{5} } [/tex]
Calculate it:
[tex] \frac{0.45}{100000} [/tex]
Rewrite the fraction:
[tex] \frac{45}{10000000} [/tex]
Simply:
[tex] \frac{9}{2000000} [/tex]
Turn it into a decimal:
[tex]0.0000045[/tex]
Solve. x2+5x−10=0 Enter your answers, as exact values, in the boxes
.x = or x =
Answers
Answer:
x=1.531128874 or x=-6.531128874
Step-by-step explanation:
If the probability of a defect with the brakes or the chain is 6 percent, what is the probability of a chain defect?
1.5 percent
2 percent
2.5 percent
3 percent
Answers
The Probability of a chain defect will be 3%.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Let B be the event that brake defect .
Let C be the event that chain defect.
Since we have given that
Probability of a brake defect P(B) = 4%
Probability of both chain and brake defect P(B∩C) = 1%
Probability of either brake or chain defect P(E∪C) = 6%
So, we need to find the probability of a chain defect.
As we know the rule of probability.
P ( B U C ) = P(A) + P (B) - P ( B [tex]\cap[/tex] C)
6 = 4 + P (C) - 1
P (C) = 3
Hence, Probability of a chain defect is 3%.
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Can someone help me
5b^2+4=10b
Answers
Answer:
b = 5 ± √5 / 5
Step-by-step explanation:
Given :
5b² + 4 = 10bSubtract 10b from both sides :
5b² - 10b + 4 = 10b - 10b5b² - 10b + 4 = 0Splitting the middle term :
b = 10 ± √100 - 4(5)(4) / 10b = 10 ± √20 / 10b = 10 ± 2√5 / 10b = 5 ± √5 / 5(Need help fast due today and will fail if not done today!) Select True or False for each statement about the function y = 8x2 − 4.
Answers
Answer:
1. False
2. True
3. False (Not sure about this one)
4. True
5. False
solve the system of equations below *urgent*
7x+6y=-10
-2x+y=11
F. (-4,3)
G.(-5,1)
H.(7,9)
I. no solution
Answers
7(-4)= -28 6(3)= 18
-28+18=-10
-2(-4)= 8
8+3=11
HELP!!! simplify the expression.
4√2 × 5√8
Answers
What is the median?
767
-765
767
769
769
-770
-767
768
sumbit
Answers
Answer:
767
Step-by-step explanation:
7 mi.
7 mi.
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
4)
C =
miles
Answers
a^2 + b^2 = c^2
a and b are both legs of the right triangle and c is the hypotenuse.
The legs each measure 7 miles so…
7^2 + 7^2 = c^2
49 + 49 = c^2
98 = c^2
You then have to take the square root of 98 as c is still squared.
The square root of 98 is about 9.9
c is about equal to 9.9
can any one tell me how to solve this ?? I) (-121) + ______ = 11 II). (-81) ÷ 27 = ______
(Integers)
Answers
Answer:
is this the answer
Step-by-step explanation:
I (-121)+...=11
=(-121)+132
=11
II -81/27
=-3
The longest game in baseball history lasted eight hours and 25 minutes between the Pawtucket Red Sox in the Rochester Red Wings convert this time to seconds
Answers
Answer:
30,300 seconds
Step-by-step explanation:
There are 60 minutes in each hour, and 60 seconds in each minute. The total time is found by multiplying by the appropriate conversion factor.
__
minutes in the hoursThe 8 hours each have 60 minutes, so the total number of minutes in 8 hours is ...
(8 h) × (60 min/h) = 480 min
seconds in the minutesThe total number of minutes is 25 more than the number of minutes in the hours:
480 min + 25 min = 505 min
These each have 60 seconds, so the total number of seconds is ...
(505 min) × (60 s/min) = 30300 s
The game lasted 30,300 seconds.
Which could be the dimensions of a rectangular prism whose surface area is less than 160 square feet? Select two
options.
8 feet by 4 feet by 3 feet
17 feet by 6 feet by 4 feet
3 feet by 7 feet by 8 feet
3 feet by 6 feet by 7 feet
3 feet by 5 feet by 7 feet
Answers
Answer:
Option 3 and 4 are the most reasonable answers
Step-by-step explanation:
The coordinates of the vertices of quadrilateral HIJK are H (-2, -1), I (2, 1), J (5, 0), and K (-1, -3). Isabella states that quadrilateral HIJK is a parallelogram. Is Isabella correct? Support your answer and show all work.
Answers
Answer: No
Step-by-step explanation:
Find length AC. Give answer to 2 decimal places.
Answers
Answer:
6.62cm
Step-by-step explanation:
tan = opp/adj
opp = adj(tan)
opp = 13(tan(27))
opp = 6.62cm
Question 6(Multiple Choice Worth 1 points)
(03.05 LC)
What is the volume of a sphere with a radius of 9 inches?
O 108TT
O 242TT
O 642TT
O 972TT
Answers
Answer:
972TT
Step-by-step explanation:
formula for volume of a sphere is
4/3TTr3
input the radius r as 9
4/3TT9 3
4/3TT729
4TT243
972TT
Determine the following probabilites based on a standard deck of cards
1) Pblack or heart)=
2) Pired or 10) =
3) P(Q or 6) =
4) P(5 or club) =
5) P(picture card or 4) =
6) P(black 9 or red) =
There are 52 cards total.
Hearts and diamonds are red.
Clubs and spades are black
LQ and K are called picture cards.
Answers
Answer & Step-by-step explanations:
I assume they want probability as a decimal as opposed to a fraction. I will do two questions for you, apply the same logic to all the rest.
P(Black or heart):
There are 26 black cards in a deck, and 13 (red) hearts.
26 + 13 out of 52 cards.
39 / 52 as a decimal is 0.75
P(Black or heart) = 0.75 or 75%
If wanted as a fraction, simplify your fraction down
39/52 has a common factor of 13, divide both numbers by 13
P(Black or heart) = 3/4
P(Red or 10):
There are 26 red cards and four 10's in a deck. Two of these 10's are red, so we will not double count them.
26 + 2 out of 52 cards.
28 / 52 as a decimal is about 0.54 or 54%
P(Red or 10) = 0.54 or 54%
If wanted as a fraction, simplify your fraction down
28/52 has a common factor of 4, divide both numbers by 4
P(Red or 10) = 7/13