Answer:
40m deep = 500 kPa.
+10m deep = +100 kPa
50m deep = 600 kPa
60m deep = 700 kPa
( It never stops ! )
Explantion:
The depth affects the entire water pressure, not the other way around, and thus the depth is a independant variable and the water pressure is most likely a dependant variable.
Fact:
100 kPa every 10 meters, or 10 kPa per meter.
0m deep = 100 kPa. Add 10 kPa for every meter. ( and so on )
kPa = 100 + (10x the depth in meters)
Using the variables given, p = 10d + 100.
Marvin lives in stormwind city and works as an engineer in the city of ironforge. In the morning, he has 3 33 transportation options (teleport, ride a dragon, or walk) to work, and in the evening he has the same 3 33 choices for his trip home. If marvin randomly chooses his method of travel in the morning and in the evening, what is the probability that he teleports at least once per day?.
The probability that he teleports at least once per day is [tex]\frac{5}{9}[/tex].
the Marvin must select one of the three transportation alternatives at random.
The likelihood of selecting any one of the three alternatives is the same since the selection is random.
The likelihood of successful teleportation on the first try is:
[tex]P_t=\frac{1}{3}[/tex]
Consequently, the likelihood that you do not teleport is
q=1-p
q=1-[tex]\frac{1}{3}[/tex]
q=[tex]\frac{2}{3}[/tex]
The likelihood that the Marvin won't teleport when leaving for work and returning from work is as follows:
P=[tex]\frac{2}{3}[/tex]×[tex]\frac{2}{3}[/tex]
P=[tex]\frac{4}{9}[/tex]
As a result, the probability that someone will teleport at least once is:
P=1-[tex]\frac{4}{9}[/tex]
P=[tex]\frac{5}{9}[/tex]
Learn more about probability
brainly.com/question/30034780
#SPJ4
\int x^(2)(1)/(\sqrt(x^(2)-4))dx
The integration of the given equation will be [(1/2) i√3 + 2 log (1 + 3i)].
What is integration?Integration is a way of finding the total by adding or summing the components. It's a reversal of differentiation, in which we break down functions into pieces. This approach is used to calculate the total on a large scale.
The integration equation is given below.
[tex]\begin{aligned} \rm I = \int _1^2 \sqrt{x^2 - 4} \ dx \end{aligned}[/tex]
We know that the formula is given as,
∫√(x² - a²) dx = (x/2)√(x² - a²) + (a² / 2) log [x + √(x² - a²)]
Then by the integration, we can write it as,
[tex]\begin{aligned} \rm I &= \int _1^2 \sqrt{x^2 - 4} \ dx \\\rm I &= \int _1^2 \sqrt{x^2 - 2^2} \dx\\\rm I &= \left [ \dfrac{x}{2}\sqrt{x^2-2^2} + \dfrac{2^2}{2} \log (x + \sqrt{x^2 - 2^2}) \right ]^2_1\\\end{aligned}[/tex]
Simplify the equation further, then we have
I = [(1/2) i√3 + 2 log (1 + 3i)]
The integration of the given equation will be [(1/2) i√3 + 2 log (1 + 3i)].
More about the integration link is given below.
https://brainly.com/question/18651211
#SPJ9
What is stoichiometry formula?
Stoichiometry formula is founded on the basis that law of conservation of mass where the total mass of the reactants = total mass of the products.
What is Stoichiometry?This is referred to as the relationship between the relative quantities of substances taking part in a reaction or forming a compound, typically a ratio of whole integers.
The stoichiometry of a balanced chemical equation identifies the maximum amount of product that can be obtained. The stoichiometry of a reaction describes the relative amounts of reactants and products in a balanced chemical equation.
Read more about Stoichiometry here https://brainly.com/question/14935523
#SPJ1
You borrow $200 from a relative for six months. You agree to pay compound interest at
the rate of 1% per month. How much interest will you pay your relative when you return the
money at the end of the six months?
a.
$201.00
c.
$12.30
b.
$11.66
d.
$210.00
Answer: D (210.00)
Step-by-step explanation:
According to the formula of compound INTEREST this is correct
Create an imaginary profile for someone who CAN be claimed as a dependent and someone who CANNOT be claimed as a dependent on taxes. Be sure to include their age and at least TWO details that explain why they can or cannot be claimed as a dependent.
Maurice has completed 48 pages of the research paper he is writing. That is 80% of the required length of the paper. What is the required length of the paper? The required length of the paper is pages.
Answer:
We can use the proportion:
48 pages / x = 80% / 100%
where x is the required length of the paper in pages.
First, we can simplify the right-hand side of the equation:
80% / 100% = 0.8
Next, we can solve for x by cross-multiplying:
48 pages / 0.8 = x
x = 60 pages
Therefore, the required length of the paper is 60 pages
How do I solve for the answers
Answer:
4
Step-by-step explanation:
the data set shows the numbers of hours students study the week before the a test. find an interpert the mean absolute deviation of the data.
1, 2, 5,5,5,5,6,7,8,9.
The answer is 1.6!!!
How old are?
What is the equation of this graph
Pls help will mark Brainly est pls help
Step-by-step explanation:
We can find the other point using the axis of symmetry.
The axis of symmetry for a parabola passes through the x coordinate of the vertex.
So our axis of symmetry is x=4, which is a vertical line.
For any point on a parabola curve except the vertex, there will two points that share the same y value. The two x coordinates of those points midpoints should be the axis of symmetry.
So,
If we know (0,-6) and the vertex is 4, let's find the other point
[tex]( \frac{0 + b}{2} = 4[/tex]
[tex]b = 8[/tex]
So our other point is
(8,-6).
So the answer to #1 is we found point (8,-6) by using the axis of symmetry. By reflecting the point (0,-6) about the vertical line x=4, we end up getting the point (8,-6)
To find q, q(x) has the same vertex, so it is (4,10).
We know the axis of symmetry is x=4, we also know the y intercept is 18 so we have point (0,18)
Using the axis of symmetry we will get (8,18).
So the graphs above are the graphs of p and q
The graph facing upwards is q
The graph facing downwards is p.
For #2, you can say we know the vertex is (4,10) and using the y intercept and axis of symmetry we found the other point on the curve.
I don't fully see the table but if the other coordinates have a higher y value, the vertex is a minimum.
Else, of the other coordinates have a lower y value, the vertex is a maximum.
How many flowers, spaced every 4 feet, are needed
to surround a circular garden with a 70-foot radius?
Use 3 for π.
The numbers of flowers spaced every 4 feet, are needed
to surround a circular garden with a 70-foot radius, 105
What is circumference ?Circumference is the distance around the perimeter of a circular object. It is defined as the length of the circle that is found by multiplying the diameter of the circle by π (pi), which is approximately equal to 3.14.
The formula for the circumference of a circle is given by:
C = 2πr,
To calculate the circumference of the circular garden, we can use the formula:
C = 2πr
where C is the circumference, π is the mathematical constant pi (approximated as 3 in this case), and r is the radius. Plugging in the given values, we have:
C = 2 x 3 x 70
= 420 feet
Now, since the flowers are spaced every 4 feet, we can divide the circumference by 4 to find the number of flowers needed:
number of flowers = C / 4
= 420 / 4
= 105
Therefore, 105 flowers spaced every 4 feet are needed to surround a circular garden with a 70-foot radius.
To know more about circumference check:
https://brainly.com/question/4268218
#SPJ9
Solve. 1. Denver is called the Mile-High City because it is at an altitude of 1 mile. How many feet is this? Can some one please help asap?
One mile is equal to 5,280 feet. Therefore, to convert the altitude of Denver from miles to feet, we can multiply by 5,280:
1 mile × 5,280 feet/mile = 5,280 feet
So, Denver's altitude of 1 mile is equal to 5,280 feet.
How many 65 euros to dollars ?
The values of 65 euros is 76.70 US dollars.
To convert 65 euros to dollars, you need to know the current exchange rate between the two currencies. As of September 2021, the exchange rate is 1 euro = 1.18 US dollars.
To calculate the conversion, you can simply multiply the amount of euros by the exchange rate.
65 euros x 1.18 US dollars = 76.70 US dollars
Therefore, 65 euros is equivalent to 76.70 US dollars.
It's important to note that exchange rates can fluctuate, so the conversion may not be the same in the future. It's always best to check the current exchange rate before making a conversion.
To know more about exchange rate click on below link:
brainly.com/question/29562028#
#SPJ11
Ice cream is packaged in cylindrical gallon tubs. A tub of ice cream has a total surface area of 183.69 square inches.
If the diameter of the tub is 6 inches, what is its height? Use π = 3.14.
2.25 inches
4.5 inches
6.75 inches
12.75 inches
The height of the cylindrical tub of ice cream is 6.75 inches.
What is the surface area of a cylinder?A cylinder is a 3 dimensional shape which has a curved side and two circular surfaces. The total surface area can be determined by the expression;
total surface area of a cylinder = 2πr^2 + 2πrh
where r is the radius of it circular surface, and h is its height.
Considering the given question, we have;
total surface area of a cylinder = 2πr^2 + 2πrh
But total surface area = 183.69 square inches
r = D/2
= 6/ 2
r = 3 inches
Thus,
183.69 = 2*3.14*3^2 + 2*3.14*3*h
= 56.52 + 18.84h
183.69 - 56.52 = 18.84h
127.17 = 18.84h
h = 127.17/ 18.84
= 6.75
The height of the cylindrical tub of ice cream is 6.75 inches.
Learn more about surface area of cylinder at https://brainly.com/question/27440983
#SPJ1
Answer: The answer is (C) 6.75
Step-by-step explanation:
The formula for Surface Area is: SA = 2πr^2 + 2πrh
Let's do the first part: 2πr^2
So you need to find the radius, which is half the diameter. 6 is the diameter so half that, and you get 3.
Now, times 3 by itself
3 * 3 = 9
And then times 9 by 2
9 * 2 = 18
And times 18 by pi, 3.14
18 * 3.14 = 56.52
Now that we have our first value, lets move on to the second part of the formula: 2πrh
So we need the diameter, and the question gives us the value of the diameter.
6 is the diameter
so times 6 by pi, 3.14
6 * 3.14 = 18.84h (leave h there because we don't know the height)
Now do this:
183.69 = 56.52 + 18.84h
You cannot add 56.52 and 18.84h because they are not like terms
So take away 56.52 from both sides
56.52 - 56.52 = 0
183.69 - 56.52 = 127.17
Now divide 127.17 by 18.84h
127.17/18.84 = 6.75 inches
Here is proof that my answer is correct. I have a photo of my results and it shows that 6.75 inches is correct. Here is the photo:
Have a an amazing day
5x4> 12
AND 12x +5 ≤-4
The solution for x is x ≤ -3/4.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
To solve for x in the inequalities:
5x - 4 ≥ 12 and 12x + 5 ≤ -4
We'll solve each inequality separately:
5x - 4 ≥ 12
Adding 4 to both sides, we get:
5x ≥ 16
x ≥ 16/5
So the first inequality is solved for x as x ≥ 16/5.
Now, 12x + 5 ≤ -4
Subtracting 5 from both sides, we get:
12x ≤ -9
x≤ -9/12
x≤ -3/4
The only values of x that satisfy both inequalities are those that are less than or equal to -3/4.
Therefore, the solution for x is x ≤ -3/4.
To learn more on Inequality click:
https://brainly.com/question/28823603
#SPJ9
A store receives a shipment of 5,000 MP3 players. In a previous shipment of 5,000 MP3 players, 300 were defective. A store clerk generates random numbers to simulate a random sample of this shipment. The clerk lets the numbers 1 through 300 represent defective MP3 players, and the numbers 301 through 5,000 represent working MP3 players. The results are given.
2,806 623 232 3,955 3,799 657 2,140 262 844 561
Based on this sample, how many of the MP3 players might the clerk predict would be defective?
The manager would expect _________ defective players in the shipment.
The manager would expect 1000 defective players in the shipment.
How to find the defective members in a sample?A store receives a shipment of 5,000 mp3 players out of which 300 were found to be defective.
The clerk lets the numbers 1 through 300 represent defective mp3 players, and the numbers 301 through 5,000 represent working mp3 players.
The results are given AS:
2,806 623 232 3,955 3,799 657 2,140 262 844 561
This means that out of the 10 samples 2 were found to be defective and 8 were in the working condition.
( Since the number 232 and 262 represent the defective mp3 players as they are the numbers which are less than or equal to 300 )
Hence, the Probability that the mp3 players were defective is:
P( defective)=2/10=1/5
Hence, out of 5000 mp3 players the number of players that clerk predict to be defective are:
P( defective)×5000
= 1/5 × 5000
= 1000.
Read more about defective samples at; https://brainly.com/question/30486439
#SPJ1
A square lawn has an area of 1922 square feet. A sprinkler placed at the center of the lawn sprays a water in a circular pattern that just covers the lawn. What is the radius of the circle?
A.43.84 B.21.92 C.62 D.31
The radius of the circle is 21.92 feet
What is the radius of the circle?From the question, we have the following parameters that can be used in our computation:
A square lawn has an area of 1922 square feet
This means that
Area = 1922
Take the square root of both sides to determine the side length
side length = 43.84
This represents the circle diameter
So, we divide by 2
radius = 21.92
Hence, the radius is 21.92
Read more about radius at
https://brainly.com/question/24375372
#SPJ1
which graph suows the solution set of the inequality x^2+10x+16 / x-3 >0
The graph the depicts the solution set of the inequality is graph D. Option 4 is the correct answer.
What is solution of an inequality?There is a significant exception to the general rule that inequality manipulation is quite similar to equation manipulation.
An inequity still exists if the same amount is added to both sides.
The inequality still holds true if the same amount is subtracted from each side.
An inequality still holds true if both sides are multiplied or divided by the same positive value.
However, if both sides of an inequality are multiplied or divided by a negative value, the inequality is no longer valid.
The given inequality is x² + 10x + 16 / x-3 > 0.
Expand the quadratic equation:
x² + 8x + 2x + 16/ x-3 > 0
x(x + 8) + 2(x + 8) / x-3 > 0
(x + 2)(x + 8)/ x-3 > 0
x + 2 > 0 and (x + 8) < 0 and x - 3 > 0
x > -2 and x < -8 and x > 3
The intervals of x are:
-8 < x < -2 and x > 3
Hence, the graph the depicts the given interval is graph D. Option 4 is the correct answer.
Learn more about inequality here:
https://brainly.com/question/30231017
#SPJ1
Can anyone write the quadratic of the equation in factored form?
The factored form of the quadratic equation is given as follows:
y = 3(x + 0.6667)(x - 6).
How to obtain the factored form of the quadratic equation?The quadratic equation for this problem is defined as follows:
3x² - 16x - 7 = 5.
3x² - 16x - 12 = 0.
The coefficients are given as follows:
a = 3, b = -16, c = -12.
Hence the discriminant is of:
D = (-16)² - 4(3)(-12)
D = 400.
Then the roots are of:
x = (16 - sqrt(400))/6 = -0.6667.x = (16 + sqrt(400))/6 = 6.Considering the leading coefficient of 3 and the roots, the factored form of the equation is given as follows:
y = 3(x + 0.6667)(x - 6).
More can be learned about quadratic functions at https://brainly.com/question/1214333
#SPJ1
15. Find DE.
C
24 61°
A
F
19°
D
E
The value of side DE of the triangle is 14.91 units
How to find the DE of the triangle?Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.
In triangle CDF,
tan 61° = DF/24
DF = 24 * tan 61°
DF = 43.30 units
In triangle DEF,
tan 19° = DE/43.30
DE = 43.30 * tan 19°
DE = 14.91 units
Learn more about Trigonometry on:
brainly.com/question/11967894
#SPJ1
Bob is interested in examining the relationship between the number of bedrooms in a home and its selling price. After downloading a valid data set from the internet, he calculates the correlation. The correlation value he calculates is only 0.05What does Bob conclude? A)Bob gives up on his research becauser=.05 means there is no relationship of any kind between bedrooms and selling price. B) Bob continues his research because even though there is no linear relationship here, there could be a different relationship.
Bob continues his research because even though there is no linear equation relationship between the number of bedrooms and selling price, there could be another type of relationship.
Bob continues his research because even though the correlation value he calculated between the number of bedrooms and the selling price was only 0.05, this does not necessarily mean that there is no relationship of any kind between these two variables. It simply means that there is no linear relationship between the two. There could still be other types of relationships between the two variables, such as an exponential or quadratic relationship. It is possible that further analysis and exploration of the data set would reveal such a relationship and allow Bob to uncover the relationship between the two variables. Additionally, even if the correlation value is low, it does not necessarily mean that there is no relationship between the two variables. It simply means that the relationship is weak. Therefore, Bob should continue his research in order to uncover any potential relationships between the number of bedrooms and selling price.
Learn more about linear equation here
https://brainly.com/question/11897796
#SPJ4
what are the ordered pairs of the solution for this system of equations f(x) = x^2 -2x+3 ; f(x) = -2x + 12
23. ERROR ANALYSIS Describe and correct the error in finding 40% of 75.
X
40% of 75 = 40% x 75 = 3000
The error in the solution is that the answer is written as 3000 instead of 30.
What is Percentage?Percentage is defined as the parts of a number per fraction of 100 and it is denoted by the symbol '%'.
Percentage of a number is calculated as dividing the number with it's whole and then multiplying with 100.
We have to find the percentage of 40% of 75.
That is, the number which corresponds to the 40 parts per 100 of the number 75.
40% of 75 = 40% × 75
= (40 / 100) × 75
= 0.4 × 75
= 30
The correct percentage is 30, not 3000.
Hence the error is in the answer for which 30 is the correct answer.
To learn more about Percentage, click here :
https://brainly.com/question/30348137
#SPJ9
How many minutes are in 3 5/12 hours
Answer:
205
Step-by-step explanation:
3hrs is 180 min
5/12 hours is just 25 min
180+25=205
Answer:
205 minutes
Step-by-step explanation:
*60 minutes = 1 hour
3 x 60 = 180
5/12 x 60 = 5/12 x 60/1 = 300/12 = 25
180 + 25 = 205 minutes
What is the standard form for seven squared
Therefore, after answering the given query, we can state that the as we can multiply it as 7 multiply by 7 = 7*7 = 49.
what is multiply?Multiplication is one of the four matrix multiplication, along with arithmetic, addition, and subtraction. Multiplication in mathematics is the process of repeatedly combining subgroups of the same size. Multiplication is calculated using the formula multiplicand multiplier gives product. multiplicand: Starting number, to be more exact (factor). as a separator, use number two (factor). The result is what remains after splitting both the multiplicand and the multiplier. There are numerous additions necessary when adding numbers. similar to 5 x 4 = 5 x 5 x 5 x 5 = 20. What I did was multiply 5 by 4. Because to this, multiplication is frequently referred to as "doubling."
The standard form for seven squared is 49.
as we can multiply it as 7 multiply by 7 = 7*7 = 49.
To know more about multiply visit:
https://brainly.com/question/23536361
#SPJ1
17. The record low temperature in Missouri was −40°F, set February 13, 1905. The record high temperature of 118°F was set July 14, 1954, in the same city: Warsaw, Missouri. The Missouri mean temperature is 55°F. Determine whether the record high or the record low is closer to the mean temperature than the other record, and how much closer is it? Make sure you show your work to support your answer.
Answer:
The record high temperature of 118°F is 63°F higher than the mean temperature of 55°F. The record low temperature of -40°F is 95°F lower than the mean temperature of 55°F. The record high temperature of 118°F is closer to the mean temperature than the record low temperature of -40°F by 32°F.
You have $4.00 and you need to make copies of a flyer at a store that charges $0.30 per copy. Find the inequality that responds the number of copies you can make. Use c as the variable. What is the maximum number of copies you can afforded to make?
The required number maximum number of copies can be afforded c < 13.33.
What is inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
We have $4.00 and you need to make copies of a flyer at a store that charges $0.30 per copy.
Here,
Let the number of copies be c,
According to the question,
0.30c < 4
c < 4/ 0.30
c < 13.33
Learn more about inequality here:
brainly.com/question/14098842
#SPJ9
what percent of the dresses are for films not set in the 1700s?
Answer:
Three-fifths of them can be used for movies that take place in the 1700s and 15% of them can be used for movies in the civil war era
Find the percent of the quantity.
150% of 56 =
Answer:
84
Step-by-step explanation:
What is a percentage?A percentage is a ratio or a number expressed in the form of a fraction of 100. Percentages are often used to express a part of a total.
To solve for 150% of 56, we can multiply 56 by 150%.
56 × 150% = 84Therefore, 150% of 56 is 84.
The graph shows the number of game systems sold
since 2015. Based on this information, which function
best models the number of game systems sold in
millions x years since 2015?
Step-by-step explanation:
so, for x = 0, y = 30.5
that means the first answer is out.
for x = 1, y = 21.35
so, only
y = 30.5(0.7)^x
can be right.
all other functions have an y-value of way over 30.5 (because the factor of 30.5 is larger than 1).
and to verify :
30.5 × 0.7¹ = 30.5 × 0.7 = 21.35
correct.