Answer:
Water temperature in an ocean varies inversely to the water’s depth. Between the depths of 250 feet and 500 feet, the formula
T
=
14
,
000
d
gives us the temperature in degrees Fahrenheit at a depth in feet below Earth’s surface. Consider the Atlantic Ocean, which covers 22% of Earth’s surface. At a certain location, at the depth of 500 feet, the temperature may be 28°F.
The related variation equation where k is the constant of proportionality is [tex]t=\frac{k}{F}[/tex]
For inverse variation, if a is inversely proportional to b. This is expressed as:
[tex]a \alpha \frac{1}{b}[/tex]
Introducing the constant of variation will give;
[tex]a=\frac{k}{b}[/tex]
Applying the concept to the question:
If the temperature t at which water boils is inversely proportional to the number of feet F, this is expressed as:
[tex]t \alpha \frac{1}{F}[/tex]
[tex]t=\frac{k}{F}[/tex]
Hence the related variation equation where k is the constant of proportionality is [tex]t=\frac{k}{F}[/tex]
Learn more here: https://brainly.com/question/2798700
If the product of the extremes is 8,then the geometric mean is
~2
~4
~2(square root sign)2
The geometric mean of two numbers is the square root of their product:
[tex]GM(a,b)=\sqrt{ab}[/tex]
So, if the product is 8, the geometric mean is [tex]\sqrt{8}=2\sqrt{2}[/tex]
Solve for m 18m-13m=25 m=
Answer:
m=0
Step-by-step explanation:
Answer:
I think m=5
Step-by-step explanation:
How much sleep do high school students get on a typical school night? An interested studentdesigned a survey to find out. To make data collection easier, the student surveyed the first 30 studentsto arrive at school on a particular morning. These students reported an average of 7.2 hours of sleepon the previous night.
Answer:
The answer is below
Step-by-step explanation:
How much sleep do high school students get on a typical school night? An interested student designed a survey to find out. To make data collection easier, the student surveyed the first 100
students to arrive at school on a particular morning. These students reported an average of 7.2 hours of sleep on the previous night.
(a) What type of sample did the student obtain?
(b) Explain why this sampling method is biased. Is 7.2 hours probably higher or lower than the true average amount of sleep last night for all students at the school? Why?
Solution:
a) A voluntary response sample is a sample made up of volunteers. It samples more people who have strong opinions and sample people who have less opinion on the survey. It is biased.
Convenience sample is a type of sampling where the group of people are conveniently selected from a population. It is biased.
Since the first 30 students to arrive at school on a particular morning was used, this is convenience sampling since only the first 30 was conveniently selected.
b) This sampling method is biased because the first 30 students are those who would have woken up earlier while those who woke up late would not be sampled.
This means that the 7.2 hours is lower than the true average amount of sleep last night for all students at the school
6 - 6x = 7x - 9x - 22
What is the value of x ?
Answer:
x=7
Step-by-step explanation:
Answer:
x = 7
Step-by-step explanation:
6 - 6x = 7x - 9x - 22
combine like terms
6 - 6x = -2x - 22
+2x +2x
6 -4x = -22
-6 -6
-4x = -28
divide both sides by -4
x = 7
Hope this Helps!!!
plz help (will make brainliest!)
help me with this and ill give you brainliest
Answer:
C
Step-by-step explanation:
Trust me on this one
please help with this problem
Simplify 12−3l+5(4−l)
Answer:
−8+32
Step-by-step explanation:
...................
Match each proportion to its solution.
Answer:
x/10=-30/100 : -3
5/35 = 1/a : 7
2/x = 100/15 : .3
12/k = 4/1 : 3
2/8 = g/4 : 1
Step-by-step explanation:
What is the unit rate if there are 132 miles driven using 6 gallons of gas?
What is the slope of a line perpendicular to the line whose equation is
2x + 4y=-64. Fully reduce your answer.
Answer:
[tex]- \frac{1}{2}[/tex]
Step-by-step explanation:
How do we find the line that's perpendicular to another?
We find the negative reciprocal. So for example if our slope is 2, the negative reciprocal would be [tex]- \frac{1}{2}[/tex].
Add the expressions: 9(20m - 5) + (m +7)
Answer:
181m - 38
Step-by-step explanation:
Hey there!
9(20m – 5) + (m + 7)
DISTRIBUTE
9(20m) + 9(–5) + m + 7
9(20m) + 9(–5)
9(20m) = 180m
9(–5) = -45
NEW EQUATION: 180 – 45 + m + 7
COMBINE your LIKE TERMS
(180m + m) + (–45 + 7)
“m” itself is understood as an invisible 1!
180m + m = 181m
–45 + 7 = –38
NEW EQUATION: 181m – 38
ANSWER: 181m – 38 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Do you guys get how to do this one if so please comment down the answer I would appreciate it if you help out!
Answer:
17
Step-by-step explanation:
81 - 8^2 =
8^2= 8 x 8 = 64
81-64 = 17
Which value should she use for X? Round to the nearest hundredth.
0.09
0.20
0.25
0.30
Answer:
A
Step-by-step explanation:
Just took the Semester exam and had this question on it, I got it right
Answer:Person on top is wrong its
Step-by-step explanation:
D =0.30
use the graph below to find the cost of 6 show tickets.
A. the cost of six show tickets
B. The cost of 6 show tickets is $6.
C. The cost of 6 show tickets is $30.
D The cost of 6 show tickets is $5
Answer:
C. The cost of show tickets is $30
Step-by-step explanation
A 30-60-90 triangle has a hypotenuse that has a length of 18. Find it’s area
Answer:
4824
Step-by-step explanation:
The coordinates of points A and B are A (7, -2) and B (47, 68). Which are the coordinates of a point that partitions segment AB in a ratio of 1:4?
Step-by-step explanation:
The coordinates of the point is (15, 12).
Point dividing the line segment AB in the ratio of 1 : 4 will have the coordinates as (15, 12)
Coordinates of a point dividing a segment in two parts: If a point (h, k) divides a segment having extreme ends (x₁, y₁) and (x₂, y₂) in the ratio of m : n, coordinates of the point will be,
[tex]h=\frac{mx_2+nx_1}{m+n}[/tex], [tex]k=\frac{my_2+ny_1}{m+n}[/tex]
If a segment having extreme ends A(7, -2) and B(47, 68) is divided by a point P(h, k) in the ratio of 1 : 4
h = [tex]\frac{1(47)+4(7)}{1+4}[/tex]
h = 15
k = [tex]\frac{1(68)+4(-2)}{1+4}[/tex]
k = 12
Therefore, coordinates of the point dividing the segment AB in the ratio of 1 : 4 will be (15, 12).
Learn more about the ratios of a directed line segment here,
https://brainly.com/question/16452339?referrer=searchResults
Using Geometric Mean, solve for x.
Answer:
x = 6 units
Step-by-step explanation:
By geometric mean property:
[tex]x = \sqrt{9 \times 4} \\ \\ x = \sqrt{36} \\ \\ x = 6 \: units[/tex]
I need help solving this
Answer:
x=10
y=25
Step-by-step explanation:
3x-10+5x+30+6x+20=180
14x+40=180
14x=180-40
14x=140
x=10
9x-10=4y-20
9(10)-10=4y-20
90-10=4y-20
80=4y-20
80+20=4y
100=4y
25=y
Given the sequence: 12,18,24,30,...
Fill in the boxes below to create the recursive formula.
__=___
___=___+___
Step-by-step explanation:
0+6=6
6+6=12
12+6=18
18+6=24
24+6=30
.....
any more help just ask :)
2. List the first four terms of the geometric sequence with a, = 5 and r = -2.
Answer:
[tex]5,~ -10,~ 20,~ -40[/tex]
.
Step-by-step explanation:
Geometric sequence
[tex]Un = ar^{n - 1}[/tex]
.
We know that
a = 5 and r = -2
.
So
[tex]U_1 = 5(-2)^{1 - 1} = 5(-2)^0 = 5[/tex]
[tex]U_2 = 5(-2)^{2 - 1} = 5(-2)^1 = -10[/tex]
[tex]U_3 = 5(-2)^{3 - 1} = 5(-2)^2 = 20[/tex]
[tex]U_4 = 5(-2)^{4 - 1} = 5(-2)^3 = -40[/tex]
.
Happy to help :)
Answer:
the aswers is 5, -10, 20,-40
Can you please help me with this question?
Answer:
A. 3
Step-by-step explanation:
since it is just reflected the length dosen't change
A national standardized test is graded on a scale from 1 to 5 the scores for a particular school are given below if a student Is chosen at random what is the possibility that they scored a 4 or a 5
Answer:
Step-by-step explanation:
The possibility of scoring a 4 is 1/5
The possibility of scoring a 5 is 1/5
The possibility of scoring either 4 or a 5 is 2/5
A walking path at a park is 3/5 miles long. Paola walks on this path, completing each lap in 1/25 of an hour. What is Paola's running speed, including a unit of measure?
Answer:
15miles//hr
Step-by-step explanation:
From the question, we are given;
Distance covered by Paola = 3/5 miles
Time = 1/25 of an hour
Speed = Distance/ time
Substitute
Speed = (3/5)/(1/25)
Speed = 3/5 * 25/1
Speed = 3 * 5
Speed = 15
Hence Paola's running speed in miles per hour is 15miles/hr
A basketball player scored 288 points in 9 games. Use the unit rate to find how many points the player would score in 5 games.
Answer:
160 Points in 5 Games
Step-by-step explanation:
The given information will be used as the first ratio. 288 points / 9 games. To find out how many points this player would score in 5 games, we use another ratio with the unknown value, x. This would be x points / 5 games. Put the ratios equal to each other and cross multiply. You will get a final answer of 160.
The diameters of ball bearings are distributed normally. The mean diameter is 130 millimeters and the variance is 9. Find the probability that the diameter of a selected bearing is greater than 135 millimeters. Round your answer to four decimal places.
Answer:
0.0478
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score = 135 mm
μ is the population mean = 130 mm
σ is the population standard deviation.
We are given variance = 9
Standard deviation = √variance = √9 = 3
Hence
z = 135 - 130/3
z = 1.66667
Probability value from Z-Table:
P(x<135) = 0.95221
P(x>135) = 1 - P(x<135) = 0.04779
Approximately to 4decimal places = 0.0478
write the polynomial function f of least degree that has rational coefficients , a leading coefficient of 1, and the given zeros 2 -3i 4
Answer: it might be the answer in the picture sorry if im wrong
Step-by-step explanation:
According to the scale on a map, 1 inch on the map = 16 miles. How many inches on the map would represent 24 miles?
Answer:
1.5 inches
Step-by-step explanation:
1 inch = 16 miles
x = 24 miles
Cross multiply
16x = 24*1
Divide by 16
x = 24/16
x = 3/2 = 1.5
An architectural drawing lists the scale as 1/4" = 1'. If a bedroom measures 312" by 514" on the drawing, how large is the bedroom?
A. 7 ft by 10.5 ft
B. 14 ft by 21 ft
C. 20 ft by 30 ft
D. 10 ft by 15 ft
Answer:
1248' x 2056' so I think you missed copying decimals but I would asume B
Step-by-step explanation:
312''x(1/(1/4''))=1248'
514''x(1'/(1/4''))=2056'
The dimensions in feet's are 1248' x 2048'.
We have architectural drawing scale - 1' = 1/4"
We have to convert the dimensions 312" by 514" into feet's.
What does the symbol - ' (prime) and '' (double prime) in measurement representsdouble prime (″) is symbol for inches.
single prime (') is a symbol for foot(singular)/ feet's (plural)
1 foot =12 inches.
According to the question -
1' = 1/4"
1 foot = 1/4'' inches
Then, 1 inches will have = [tex]\frac{1}{\frac{1}{4} }[/tex] = 4 feet's.
Therefore -
312" = 312 x 4' = 1248 feet's
514" = 512 x 4' = 2048 feet's
Hence, the dimensions in feet's are 1248' x 2048'.
To solve more questions on dimensions unit conversion, visit the link below -
https://brainly.com/question/4613077
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(-2,5), (-1,8), (0,6), (1,6), (2,7) is function or not a function help