It will take the pump 80 minutes to fill the tank completely.
We can find the time to fill the tank by subtracting the current amount of the tank (3/8 of its capacity) from its total capacity. Then, dividing that amount by the flow rate of the pump (which is 1/16 of its capacity per minute).
The calculation is given as:
Remaining amount to fill = Total capacity - Current amount = 1 - 3/8 = 5/8
Time to fill completely = Remaining amount ÷ Flow rate = 5/8 ÷ (1/16) = 80 minutes
So, it will take the pump 80 minutes to fill the tank completely.
To know more about Tank filling Question:
https://brainly.com/question/29183914
#SPJ4
____ The given question is incorrect, the correct question is given below:
If a pump fills a tank in 16 minutes and the tank currently has 3/8 of its capacity, then we can calculate how many minutes it will take to fill the tank completely.
What is the area of 3/4 piece of circle with radius of 6?
I need help please, I’m confused!!
Answer:
(-6, 3)
Step-by-step explanation:
If you rotate the coordinates, (2, -3), 90° clockwise around the point, (1, 4), then it will become Point P' at (-6, 3). There isn't a very efficient way to explain this but since Point P is 7 units south and 1 unit east of (1, 4) we need to keep it the same distances away when we turn it 90°. You can use something like parchment paper, record the point you're turning it around, (1, 4), and the point to be turned, Point P at (2, -3). If you rotate it exactly 90° without ever moving the point on (1, 4), Point P should now be at (-6, 3) if that makes sense.
f(4/5) if f(x) = 4x - 1/5
a plane flying horizontally at an altitude of 3 miles and a speed of 480 mi/h passes directly over a radar station. find the rate at which the distance from the plane to the station is increasing when it has a total distance of 4 miles away from the station. (round your answer to the nearest whole number.)
The rate at which the distance from the plane to the station is increasing when it has a total distance of 4 miles away from the station is 317.5 mi/h.
A rate in which a certain number of units of the first quantity are compared to one unit of the second quantity is not the same as a unit rate. In other words, we may state that the comparison's second amount is always 1.
Thus, P denotes the plane's location, R denotes the radar's location, and V denotes the point that is vertical to the radar and at the plane's height.
Assume that h is the height of the plane, s is the separation from the radar, and x is the separation from point V.
The plane travels at 480 miles per hour and has a 3 mile height. Ds-480 miles per hour.
dt By Pythagorean theorem,
x² = h² + s²
x² = 3²+s²
x² = 9 + s²
Differentiate implicitly with respect to t.
2x dx/dt = 2s ds/dt + 0
x dx/dt = s ds/dt
Use (1)
dx/dt = \(\frac{dx}{dt} =\frac{\sqrt{x^2-9} }{x}\)
= √7/4 x 480
= 120√7
≈ 317.49
Hence, the distance increasing at the rate of dx/dt is 317.5 mi/h.
Learn more about Rate problems:
https://brainly.com/question/29070487
#SPJ4
The table shows a set of values for x and y
a) Assume y = \(x^{2}\)
\(1b=\frac{k}{1^{2} }\) k = 1b
\(y=\frac{1b}{x^{2} }\)
b) y = 25
\(x^{2}=\frac{16}{25}\)
\(x=\sqrt{\frac{4}{5} ^{2} }\)
x = ±\(\frac{4}{5}\)
x > 0, x = 4/5
{ Equation }
y=16/x² is required equation for y in terms of x and x=4/5 when y=25.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The table of values are
x 1 2 3 4
y 16 4 16/9 1
Given that y is inversely proportional to square of x.
y=k/x²
Let us consider
y=16 and x=1
16=k/1
k=16.
y=16/x²
So y=16/x² is equation for y in terms of x
b) We need to find value of x when y=25
25=16/x²
Use cross multiplication
x²=16/25
Take square root on both sides
√x²=√16/25
x=±4/5
If x>0 , so x=4/5
Hence y=16/x² is required equation for y in terms of x and x=4/5 when y=25.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ5
Which function is graphed? Pls help!!
The piecewise function graphed in this problem is given as follows:
C) y = x² + 2, x < 1, y = -x + 2, x ≥ 1.
What is a piece-wise function?A piece-wise function is a function that has different definitions, depending on the input of the function.
To the left of x = 1 in this problem, we have the quadratic function with vertex at (0,2), hence it is given as follows:
y = x² + 2, x < 1.
To the right of x = 1, including x = 1, we have a linear function with slope of -1 and intercept of 2, hence it is given as follows:
y = -x + 2, x ≥ 1.
Thus option C is the correct option for this problem.
More can be learned about piece-wise functions at brainly.com/question/19358926
#SPJ1
Help me with this please anyone
Answer:x=30/12
Step-by-step explanation:
If 4/3 liters of water are enough to water 2/5 of the plants in the house, how som:
much water is necessary to water all the plants in the house? *
Answer:Group of answer choices 2/5 x ? = 4/3 ? X 2/5 = 4/3 4/3 x ? = 2/5 ? ÷ 5/2 = 3/4 4/3 ÷ 2/3 = ?
Step-by-step explanation:If 4/3 liters of water is enough to water 2/5 of the plants in the house, how much water is necessary to water all the plants in the house? Select all of the multiplication and division equations that represent this situation.
Answer:
3 1/3 liters of water
Step-by-step explanation:
4/3 is to 2/5
What 1 is to x
(4/3) / (2/5) = 10/3 = 3 1/3
What type of number is -4/2?
Choose all answers that apply:
(Choice A) Whole number
(Choice B) Integer
(Choice C) Rational
(Choice D) Irrational
Answer:
The type of number that represents -4/2 is:
Choice B) Integer
Choice C) Rational
Step-by-step explanation:
The number -4/2 is an integer because it represents a whole number (-2) and it is also a rational number because it can be expressed as a fraction of two integers.
-4/2 is an :
↬ Integer ↬ Rational numberSolution:
Before we make any decisions about the type of number -4/2 is, let's simplify it first.
It's the same as -2. Now, let's familiarize ourselves with the sets of numbers out there. Where does -2 fit in?
______________
Whole numbersThis set incorporates only positive numbers and zero. So -2 doesn't belong here.
IntegersThis set incorporates whole numbers and negative numbers. So -2 belongs here.
RationalsThis set has integers, fractions, and decimals. So -2 does belong here too.
IrrationalsThis is a set for numbers that cannot be written in fraction form (a/b, where b ≠ 0). So -2 doesn't belong here.
Summary-4/2 belongs in the integer and rationals set.
Hence, Choices B and C are correct.Write a function for the output is half of the input x
Answer:
the equation?
Step-by-step explanation:
01110101010011101101000111011101010101010101010110
Which point is located at (4, -3)? will give brainliest
A) A
B) B
C) C
D) none of these
Answer:
d
Step-by-step explanation:
because if u look at 4 on the right there is no dot there or below it
Answer:
D
Step-by-step explanation:
None of these
PLS HELP
What is the circumference of a circular swimming pool with a diameter of 6 1/2 ft? (Use 22/7 for pi)
A. 6 3/7
B. 71 1/2
C. 20 3/7
D. 9 9/14
\(20\frac{ 3}{7}\) is the circumference of a circular swimming pool with a diameter of 6 1/2 ft.
Circumference of a circle is πd, where d is the diameter
From the question
d = 6½ feet = 13/2 feet
Circumference is
π × 13/2
= 22/7 × 13/2
= 143/7
= \(20\frac{3}{7}\)
What's the circumference?
The meaning of circumference is the distance around a circle or any twisted geometrical shape. It's the one- dimensional direct dimension of the boundary across any two- dimensional indirect face. In figure, the circumference( from Latin circumferens, meaning" carrying around") is the border of a circle or cirque. That is, the circumference would be the bow length of the circle, as if it were opened up and uncurled out to a line member.
To know more about circumference, visit; brainly.com/question/28757341
#SPJ4
Base your answer on Betty is thinking of two consecutive integers whose sum is 41.
What is the value of the larger integer?
Answer:
let the numbers be, x and x+1 ( as it is consecutive number the next number will have 1 more than the number )
sum = 41
so, x + ( x + 1 ) = 41
x + x + 1 = 41
2x + 1 = 41
2x = 41 -1 = 40
2x = 40
x = 40/2 = 20
x = 20
x + 1 = 20 + 1 = 21
so the consecutive numbers whose sum is 40 are, 20 and 21
hope this answer helps you.....
please mark as brainliest... thank you!
6 eggs in 7 dауs what would be the answer?
Answer:
42 Eggs
Step-by-step explanation:
6×7=42
6 eggs every day for 7 days, gives us 42 eggs at the end of the week
Hope this Helps!
3. Find the value of x:
HELP NOW PLEASEEE
Answer:
1000
Step-by-step explanation:
PLSSSSS HELP I GIVE U ANYTHING JUST PLZ HELP!!!!!!!!!!!!
Answer:
0.7
Step-by-step explanation:
Answer:
this is for scamming me
Step-by-step explanation:
Factorize 4x^4 – 20x^2 + 25 using the Perfect Square Method
Answer:
see below
Step-by-step explanation:
4x^4 – 20x^2 + 25
= (2x-5)²
so the factor is 2x-5
How many edge does the following shape have
Answer:
8
Step-by-step explanation:
Answer:
12 edges
Step-by-step explanation:
It might help to drag your finger along the edges in the image. Think about it as if you had to make this image out of sticks. How many sticks would you need to make a standing frame like this one?
12 sticks
Somebody please help me with this
The reflection of shape A in the line y = x can be sketched as shown in the attached image.
How to reflect shape A in the line y = x?Transformations are used to describe changes in geometric figures. Reflection is a transformation that mirrors an object across a line or a plane called the line of reflection or the mirror line.
Each point of the object is reflected across the line, resulting in a flipped image.
When a point with coordinate (x, y) is reflected in the line y = x, the coordinate of the image is (y, x).
From the picture, the coordinate of shape A are:
(1, -2)
(4, -2)
(1, -4)
(3, -4)
(3, -3)
(4, -3)
Thus, when reflected in the line y = x, the coordinate of shape A are:
(-2, 1)
(-2, 4)
(-4, 1)
(-4, 3)
(-3, 3)
(-3, 4)
Therefore, the reflection can be sketched as shown in the attached image.
Learn more about reflection on:
brainly.com/question/21850160
#SPJ1
Find the AREA OF THE BASE of the
cylinder!
base is 10yd and height is 15yd
Find the surface area of the prism.
The surface area of the triangular prism is 75 ft squared.
How to find the surface area of the prism?The prism is a triangular base prism. The surface area of the prism can be found as follows:
surface area of the prism = (a + b + c)l + bh
where
a, b and c are the side of the trianglel = height of the prismb = base of the triangular baseh = height of the triangular baseTherefore,
a = 2 ft
b = 1.5 ft
c = 2.5 ft
l = 12 ft
Hence,
Surface area of the triangular prism = (2 + 1.5 + 2.5)12 + 2(1.5)
Surface area of the triangular prism = 6(12) + 3
Surface area of the triangular prism = 72 + 3
Surface area of the triangular prism = 75 ft²
learn more on surface area here: https://brainly.com/question/29301011
#SPJ1
the composite method for determining the location of the center of gravity of a composite body requires . a) integration b) differentiation c) simple arithmetic d) all of the above
The composite method for determining the location of the center of gravity of a composite body requires integration.
So, the answer is A.
What is the center of gravity?The center of gravity is the point at which the entire weight of a body appears to act when the body is in equilibrium.
The concept of a center of gravity is used to calculate the behavior of a body when subjected to external forces. The composite method for determining the location of the center of gravity of a composite body involves integration.
The center of gravity is found by dividing the sum of the products of individual masses with their corresponding distance from an arbitrary reference line by the total mass of the system. When there is more than one weight distribution involved, the composite method is employed.
Hence, the answer of the question is A.
Learn more about center of gravity at:
https://brainly.com/question/20662235
#SPJ11
find an equation of the tangent line to the curve at the given point. y = 2ex cos(x), (0, 2)
The equation of the tangent line to the curve `y = 2ex cos(x)` at the point (0,2) is given by `y = 2ex + 2`.
To find an equation of the tangent line to the curve at the given point (0,2) whose equation is given by `y = 2ex cos(x)`, we need to determine the derivative `y'` of `y = 2ex cos(x)` first. Using the product rule, we have;
`y = 2ex cos(x)`...let `u = 2ex` and `v = cos(x)`, then `u' = 2ex` and `v' = -sin(x)`.`y' = u'v + uv'` `= 2ex cos(x) - 2ex sin(x)` `= 2ex(cos(x) - sin(x))`
Therefore, the derivative of `y = 2ex cos(x)` is `y' = 2ex(cos(x) - sin(x))`.
The equation of the tangent line to the curve at the point (0,2) is obtained by using the point-slope formula, which is given by: `y - y1 = m(x - x1)`where `(x1,y1)` is the point of tangency, `m` is the slope of the tangent line.
Substituting the values of `m`, `x1` and `y1`, we obtain: `m = y' |(0,2)` `= 2e(1 - 0)` `= 2e`Using the point-slope formula with `(x1,y1) = (0,2)` and `m = 2e`, we have: `y - 2 = 2e(x - 0)` `y - 2 = 2ex` `y = 2ex + 2`
More on tangent line: https://brainly.com/question/28994498
#SPJ11
Give a reason for your answer to the following question. Assume that all variables represent integers. Is 12a(a+ b) a multiple of 6a? Yes, because 12a(a b) is a divisor of 6a. Yes, because 12a(a b) 6a(2(a b)) which is an integer because sums and products of integers are integers. Yes, because 6 is a multiple of 12. No, because 12a (a b) 6a(2 (a b)) which may not be an integer because sums and products of integers are not always integers. No, because 6 is not a divisor of 12
The correct answer is: Yes, because 12a(a + b) is a multiple of 6a.
To see why, we can simplify the expression 12a(a + b) by factoring out the common factor of 6a:
12a(a + b) = 6a(2a+2b) = 6a(2(a + b))
When we factor out 6a from 12a(a + b), we get 6a(2(a + b)). This means that 6a is a divisor of 12a(a+b), making it a multiple of 6a.
Additionally, since all variables represent integers, we can be sure that 2a+2b is also an integer. Therefore, 6a(2a+2b) is an integer because it is a product of two integers. Thus, the original expression, 12a(a + b), is a multiple of 6a.. Therefore, the statement is true.
It's important to note that the other answer choices are not correct. While it is true that 12a(a + b) can be written as 6a(2(a + b)), this fact alone does not necessarily imply that it is a multiple of 6a. Similarly, while 6 is a factor of 12, this fact alone does not help us determine whether 12a(a + b) is a multiple of 6a. Finally, the fact that 12a(a + b) can be written as 6a multiplied by an integer does not depend on whether 6 is a divisor of 12.
Learn more about expression here:
https://brainly.com/question/29583350
#SPJ11
HELP PLS HURRYYYY! Dkdhdbmdkdhsbznzizhxnxjxhxbx
9514 1404 393
Answer:
B 10 cm by 15 cm
Step-by-step explanation:
The volume of a pyramid is given by ...
V = 1/3Bh
where B is the area of the base, and h is the height.
Solving for B, we find ...
3V/h = B
3(1000)/20 = B = 150
The product of the base dimensions must be 150 cm².
The choices are ...
A 10×5 = 50
B 10×15 = 150 . . . . could be
C 30×0.5 = 15
D 30×11 = 330
10 cm by 15 cm could be the dimensions of the vase base.
A) Tell which measure of central tendency best describes the data.
Time spent on the internet (min/day): 75,38,43,120,65,48,52.
B) Tell which measure of central tendency best describes the data.
Weight of books (oz): 12,10,9,15,16,10.
A) The measure of central tendency that best describes the data for time spent on the internet (min/day) is the median.
The median is the middle value in a set of data when the data is arranged in numerical order. In this case, the data arranged in numerical order is 38, 43, 48, 52, 65, 75, 120. The median value is 52, which is the middle value in the data set.
B) The measure of central tendency that best describes the data for the weight of books (oz) is the mode. The mode is the value that occurs most frequently in a data set. In this case, the data is 12, 10, 9, 15, 16, 10. The mode is 10, as it occurs twice in the data set and is the most frequent value.
Read more aboutarea of statistics here:https://brainly.com/question/29093686
#SPJ11
In performing a regression analysis involving two numerical variables, you are assuming I. the variances of Xand Yare equal. II. the variation around the line of regression is the same for each Xvalue. III. that Xand Yare independent. Select one: A. I only C B. III only C. II only D.All of these
As X and Y are two numerical variables. Because they are independent so there is no relationship between the two variables other than the linear relationship described by the regression equation. The correct answer is B. III only, that is X and Yare independent.
When performing a regression analysis involving two numerical variables, we assume that X and Y are independent, meaning that the value of one variable does not depend on the value of the other variable. However, we do not assume that the variances of X and Y are equal or that the variation around the line of regression is the same for each X value. These assumptions are not necessary for performing a regression analysis. Violation of this assumption can lead to spurious results and incorrect inferences. So, the correct option in B. III only.
To know more about regression:
https://brainly.com/question/14313391
#SPJ4
What if a quadratic equation has an imaginary number in it?.
Find the measure of each angle supplementary angles with measures 2X +3 and 3X +2
supplementary angles = the sum of those angles will equal to 180 degrees
so,
2x + 3 + 3x + 2 = 180
5x + 5 = 180
5x = 175
x = 35
angle 1 -> 2x + 3 = 70 + 3 = 73
angle 2 -> 3x + 2 = 105 + 2 = 107
if you want to check, 107 + 73 = 180
hope it helps :)
Math!!! 100 points
circle all graphs that show a proportional relationship