Answers
a. If sea level is represented by 0, then something below sea level would be a value of something less than zero, a negative number. Because the Challenger Deep is 35,814 feet below sea level, it will be represented by -35,814.
b. Trieste is trying to reach the bottom of the challenger deep, which is y, and descending the ocean at -3 feet per second. So the equation would be like this
-35,814 = -3x
We are just looking for x. Notice how both number values are negative so the time it would take Trieste to reach the bottom would be a positive value.
-35,814 divided by -3 = 11938, so it would take 11938 seconds to reach the bottom.
c. y and x would be used in the same context as it would just now. Except that Trieste is coming up to the surface, so the depth of the Challenger Deep is positive.
35814 = k * 11938
k = 3, the amount of time it took to reach the surface in hours.
Hope this helps!
Related Questions
Write the phrase as an expression. Then evaluate when x = 3 and y = 15
Twice the sum of a number x and 8
Please I need this answer ASAP
Answers
Answer:
Put x then y u get x+y=15*2
Study the equation.
y = x2 - 4x - 77
Write the equation in graphing form (vertex form).
Answers
Answer:
y=(x-2)^2-81
Step-by-step explanation:
Name two points on a line that has a
slope of a 5/8
Answers
24,10 and 16,5 have slope of a 5/8.
can u pls help me with this question
Answers
Answer:
c
Step-by-step explanation:
Answer:
The answer is D
Step-by-step explanation:
A researcher wishes to estimate within $5 the average repair cost of for a refrigerator. If she wishes to be 90% confident, how large of a sample would be necessary if the population standard deviation is $15.50?
Answers
Answer:
The sample size 'n' = 26
Step-by-step explanation:
Explanation:-
Given a researcher wishes to estimate within $5 the average repair cost of for a refrigerator
Given estimate "E" = $5
The estimate within the average is determined by
[tex]E = \frac{Z_{0.10}S.D }{\sqrt{n} }[/tex]
Level of significance ∝ = 90 % or 10%
= 0.90 or o.10
Z₀.₁₀ = 1.645
[tex]E = \frac{Z_{0.10}S.D }{\sqrt{n} }[/tex]
[tex]5 = \frac{1.645 X15.50 }{\sqrt{n} }[/tex]
√n = [tex]\frac{25.49}{5} = 5.099[/tex]
Squaring on both sides , we get
n = 26
Conclusion:-
The sample size 'n' = 26
What is the answer to 1/3x(15+6)?
Answers
Answer:
1/3×21
=7
Step-by-step explanation:
first step: solve the barket part
second step: Solve division or multiplication which first..Follow Rule:BODMAS stands for Bracket, Of, Division, Multiplication, Addition, and Subtraction.
Calculate Valume of cones and spheres
Answers
Answer:
v = 1808,64cm³
Step-by-step explanation:
big cone:
a = pi.r²
a = 3,14x12²
a = 452,16cm²
v = a.h/3
v = 452,16x12/3
v = 1808,64cm³ (that's a three)
you got the point, now you can do the others... kinda of
Cereal. A dietician obtains the amounts of sugar (incentigrams) from 100 centigrams (or 1 gram) in each of 10 differentcereals, including Cheerios, Corn Flakes, Fruit Loops, and 7others. These values are listed below. Is thestandard deviation of those values likely to be a good estimate ofthe standard deviation of the amounts of sugar in each gram ofcereal consumbed by the population of all Americans who eatcereal? Why or why not?
3, 24, 30, 47, 43, 7, 47, 13, 44, 39
Find the range, variance, standard deviation
Answers
Answer:
Range is 44
mean is 29.7
variance is 289.56
standard deviation is 17.016
Step-by-step explanation:
The data given as follows
3, 24, 30, 47, 43, 7, 47,13, 44, 39
Range = maximum - minimum
= 47 -3 = 44
mean = [tex]\frac{3+24+30+47+43+7+47+13+44+39}{10}[/tex] = 297/10 = 29.7
variance = [tex]\frac{sum xi^2 }{N} - mean^2 }[/tex]
= 289.56
SD = [tex]\sqrt{variance}[/tex] = 17.016
The standard deviation of the given data is not a good measure as the range and standard deviation are far apart. The standard deviation gives how the given data is dispersed from the mean or expected value, while the range gives a rough idea of variability of the data.
What sample size is required if you want to estimate p with an 99.5% confidence level and an error of no more than 0.08?
Answers
Answer:
0.5
Step-by-step explanation:
OBX Cart Rentals has created a website for customer access. They are trying to determine a reasonably secure number of available passwords. They have decided to allow upper case letters, lower case letters, digits (0 â 9), and the three special characters: $, ! ?. Find the number of possible 6 character passwords given each of the conditions (Note: you MUST simplify completely.)
a. The password must begin with a letter (either upper or lower case)
i. repetitions permitted
ii. repetitions not permitted
b. The password must begin with a letter and end with a special character ($, !, ?):
i. repetitions permitted
ii. repetitions not permitted
Answers
Answer:
A)
i) for repetitions
there will be : 52 * 65 * 65 * 65 * 65 * 65 = 60335112500 number of passwords
ii) for Non - repetitions
there will be : 52 * 64 * 63 * 62 * 61 * 60 = 47576954880
B)
i) for repetitions
there will be : 52 * ( 65 )^4 * 3 = 2784697500
ii) for Non-repetitions
there will be : 52 * 63 * 62 * 61 * 60 * 3 = 2230169760
Step-by-step explanation:
Total Number of letters = 52
Number of upper case letters = 26
Number of lower case letters = 26
Number of digits ( 0 - 9 ) = 10
special characters = 3
password = 6 characters
Therefore the total number of choices = 52 + 3 + 10 = 65
A) The password must begin with a letter (either upper or lower case)
i) for repetitions
there will be : 52 * 65 * 65 * 65 * 65 * 65 = 60335112500 number of passwords
ii) for Non - repetitions
there will be : 52 * 64 * 63 * 62 * 61 * 60 = 47576954880
B) The password must begin with a letter and end with a special character ($, !, ?):
i) for repetitions
there will be : 52 * ( 65 )^4 * 3 = 2784697500
ii) for Non-repetitions
there will be : 52 * 63 * 62 * 61 * 60 * 3 = 2230169760
It’s math can you help with number 3 please?
Answers
Answer:
25
Step-by-step explanation:
16+9
Answer:
The correct should be 25.
Step-by-step explanation:
If this is incorrect let me know and I will correct it.
Johanna can jog 3,000 feet in 5 minutes. If she jogs at the same rate, how many feet can she jog in 10 minutes?
Answers
Answer:
6,000 ft
Step-by-step explanation:
3,000 x 2 = 6,000
6,000 feet
Step-by-step explanation:
in 5 minutes she jogs 3,000 feet
in 10 minutes she jogs 6,000 feet
10/2= 5 minutes or 5 minutes ×2 =10 minutes
3,000×2 = 6,000 feets
Write the function as a sum of partial fractions. Do not determine the numerical values of the coefficients.(a) x/x^2+xâ2(b) 6âx/x^2â3xâ54
Answers
The correct equations in the question are:
(a) [tex]\dfrac{x}{x^2+x-2}[/tex] (b) [tex]\dfrac{6-x}{x^2-3x-54}[/tex]
Answer:
Step-by-step explanation:
From above:
a) [tex]\dfrac{x}{x^2+x-2}[/tex]
We are to find the roots of the quadratic equation at the denominator.
i.e.
x²+x-2 = x² + 2x - x - 2
= x(x+2) - 1(x+2)
= (x -1 ) (x + 2)
Thus;
[tex]\mathbf{\dfrac{x}{x^2+x-2} = \dfrac{A}{x-1} + \dfrac{B}{x+2}}[/tex]
b) [tex]\dfrac{6-x}{x^2-3x-54}[/tex]
The quadratic equation roots can be calculated by finding two numbers that if we multiply then, we will get -54 and if we add or subtract them, we will get -3
x²-3x -54 = x² - 9x +6x - 54
= x(x-9) + 6(x-9)
= (x + 6) (x - 9)
[tex]\mathbf{\dfrac{6-x}{x^2-3x-54} = \dfrac{A}{x+6} + \dfrac{B}{x-9}}[/tex]
Emily simplified this expression. Expression: (5−2)2+23×4 Step 1: (3)2+23×4 Step 2: 9+23×4 Step 3: 9+9×4 Step 4: 9+36 Step 5: 45 Emily made a mistake. Which step shows her first mistake? Step 1 Step 2 Step 3 Step 4
Answers
Answer:
Step 2 shows Emily's first mistake.
Step-by-step explanation:
3(2) = 6
But instead of this Emily wrote 3(2) = 9.
HELP EMERGENCY!!!! (2.5 x 10-10) (7 x 10-5)
Express your answer in scientific notation.
Answers
Answer:
[tex]1.75[/tex] × [tex]10^{-15}[/tex]
I hope this helps!
The factors of a number are given below: 2, 4, 5, 8, 10, 16, 20, 40. What is the number?
Answers
Answer:
the answer would be 80 because it is divisible with all the numbers shown above
identify the variables in 3a+7b(c-8)
Answers
Hope this helps
What is the slope of the linear function that
models the data in the table?
Answers
Answer:1.2
Step-by-step explanation:divide 198 by 165
Answer:
slope - 1.2
--------edge
The factors of two numbers are given below: Number 1: 1, 3, 5, 7, 15, 21, 35, 105. Number 2: 1, 3, 7, 21, 49, 147. What is the greatest common factor of the numbers
Answers
Answer:
21
Step-by-step explanation:
they both have 21
Rewrite the function by completing the square.
h(x) = 4x2 + 4x + 1
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]h(x) = 4 {x}^{2} + 4x + 1 [/tex]
[tex]h(x) = ({2x + 1})^{2} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Find the value of x.
930
45°
X=
help please
Answers
Answer:
45 Degrees
Step-by-step explanation:
Compare to its other side
Hope this helps
Which statement best describes the relationship between inherited traits and genes
Answers
Answer:
options please
Step-by-step explanation:
What is the point- slope equation of the line through the point (-5, 5) that is perpendicular to the line whose equation is y= (5/3)x + 2? URGENT
Answers
Hiiii I really need helppppp pls pls
Answers
Step-by-step explanation:
sas
side angle side
mark me as brainliest
I will mark Brainliest What is the length of AB
Answers
Since angles A and C are equal the side AB and AC are equal so;
5x-3 = 3x+ 7
2x = 10
X = 5
Sub 5 in for x in equation for AB
5(5) -3 = 25 -3 = 22
The accompanying data represent the miles per gallon of a random sample of cars with a three-cylinder, 1.0 liter engine.
(a) compute the z-score corresponding to the individual who obtained 37.8 miles per gallon. interpret this result.
(b) determine the quartiles.
(c) compute and interpret the interquartile range, iqr.
(d) determine the lower and upper fences. are there anyoutliers?
31.5 36.0 37.8 38.5 40.1 42.2
34.2 36.2 38.1 38.7 40.6 42.5
34.7 37.3 38.2 39.5 41.4 43.4
35.6 37.6 38.4 39.6 41.7 49.3
the z-score corresponding to the individual is
and indicates that the data value is
standard deviation(s) the
the table is for the entire problem.
Answers
Answer:
A.) - 0.2992
B.) Q1 = 36.75
Q2 = 38.45
Q3 = 41
C.) IQR = 4.25
D.) LOWER FENCE = 30.375
UPPER FENCE = 47.375
Yes, 49.3
Step-by-step explanation:
Given the data:
Arranged data in ascending order :
31.5, 34.2, 34.7, 35.6, 36.0, 36.2, 37.3, 37.6, 37.8, 38.1, 38.2, 38.4, 38.5, 38.7, 39.5, 39.6, 40.1, 40.6, 41.4, 41.7, 42.2, 42.5, 43.4, 49.3
Using calculator to save computation time :
Population mean (μ) = 38.88
Standard deviation (s) = 3.61
A.) The zscore for individual who obtained 37.8 miles per gallon :
Standardized score formula :
Z = (Score(x) - mean) / standard deviation
Z = (37.8 - 38.88) / 3.61
Z = - 1.08 / 3.61
Z = - 0.29916
Z = - 0.2992
B) The quartile ;
Lower quartile (Q1) :
1/4(n +1)th term
n = sample size = 24
1/4(24 + 1)
= 1/4(25) = 6.25th term
(6th + 7th) =(36.2 + 37.3) = 73.5/2 = 36.75
Upper quartile (Q3) :
3/4(24 +1) = 3/4(25) = 18.75th term
(18th + 19th) = (40.6 + 41.4) = 82/2 = 41
Median (Q2) :
1/2(24 +1) = 1/2(25) = 12.50th term
(12th + 13th) = (38.4 + 38.5) = 76.9/2 = 38.45
C.) interquartile range :
Q3 - Q1 = (41 - 36.75) = 4.25
D.) OUTLIER
LOWER : Q1 - 1.5(IQR) = 36.75 - 1.5(4.25) = 30.375 ; values less than 30.375
UPPER : Q3 + 1.5(IQR) = 41 + 1.5(4.25) = 47.375 ; values greater than. 47.375
Simplify 6/4.
Thank tou
Answers
Answer:
2 1/2
Step-by-step explanation:
6/4=3/2=1 1/2
Answer:
6/4= 3/2
so you now divide 2 by the 3 which will give you;
1.5
Jack wants to attend a private 4-year university that costs $32,500 a year for tuition. His parents said they will give him $15,000 each year towards tuition. If he saves his money over the next four years before college, how much money will he have to save each year?
A $1,750
B $17,500
C $175
D $4375
Answers
Answer:
b
Step-by-step explanation:
what is 3 divided by 57.6
Answers
Answer:
0.0520833333 is the answer
Answer:
0.05208333333 (reoccurring)
Step-by-step explanation:
Simple bus stop division (:
Find the midpoint of the segment with the following endpoints.
(9, 1) and (5, -7)
Answers
Answer:
7;-3
Step-by-step explanation:
9+5/2 ; 1+(-7)/2
14/2 ; -6/2
7 ; -3