The volume flow rate of the water passing through the pipe increases by a factor of 6.
Assuming that the initial cross sectional area of the pipe is A m² and the initial velocity of the water is V m/s, the water flow rate is:
= initial flow rate = area × velocity = AV m³/s
As the water speed doubles (2V m/s) and the pipe cross-sectional area triples (3A m²), the volume flow rate becomes:
Final flow rate = 2V × 3A = 6AV m³/s
As a result, the volume flow rate of the water moving through it multiplies by a ratio of six.
The basic equation for cases like these is
Q=AV,
where Q is the volume flow rate, A is the cross-sectional area occupied by the flowing material, and V is the average velocity of flow.
V is considered an average since not every component of a flowing fluid flows at the same rate. If you monitor the waters of a river moving slowly downstream at a consistent rate of gallons per second, you will see that the surface has slower currents here and faster currents there.
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i dont understand still whas 29 divided by 5123
Answer: 29 divided by 5123 is 0.005
I hope this helps :) (if not correct ask another person)
What is the intersection of two planes 1⃣ point 2⃣ segment 3⃣ straight line 4⃣ plane?
the intersection of two planes 1⃣ point 2⃣ segment 3⃣ straight line 4⃣ plane has The intersection of two planes is a straight line.
When two planes intersect each other, the intersection of two plane is a line. This line is formed by the points that satisfy the equations of the two planes.When two planes intersect each other, their intersection is a straight line. This line is determined by the points which are common to both planes and which satisfy the equations of the two planes. The line is the shortest path between any two points on the surface of the planes.
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an ice cream parlor offers 25 flavors of ice cream. assuming that order matters how many different two scoop cones can be made? what if no flavor can be repeated ?
By using the concept of permutation and combination, it can be calculated that
Number of ways of selecting two scoop ice cream if order matters = 600
Number of ways of selecting two scoop ice cream = 300 ways
What is permutation and combination?
Permutation is the process of arranging some of the objects taken where the order of the selection matters.
Combination is the process of selection of items from a group of objects where the order of selection does not matter.
Here,
The concept of permutation and combination is used
Number of flavors of ice cream an ice cream parlor offers = 25
Here, order matters
For the first scoop, there are 25 choices
For the second scoop, there are 24 choices
Number of ways of selecting two scoop ice cream if order matters =
25 [tex]\times[/tex] 24
= 600
If no flavors are repeated,
Number of ways of selecting two scoop ice cream = [tex]{25 \choose 2}[/tex] = 300 ways
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find the GCF of -10², 6x³
Answer: 2
Step-by-step explanation:
GCF is the most significant common factor of a group of numbers! In this case, 2 is the GCF!
What are the explanatory variable and response variable for this relationship? explanatory variable: season response variable: player weight explanatory variable: season response variable: player 40-yard-dash time explanatory variable: player weight response variable: player 40-yard-dash time explanatory variable: player 40-yard-dash time response variable: player weight.
The explanatory variable is the player's weight and the response variable is the player's 40-yard dash when 40-yard dash more slowly than lighter players.
Given that,
Football instructors who oversaw summer sessions noted that heavier players often ran the 40-yard dash more slowly than lighter players.
We have to find what are the relationship's explanatory variable and response variable.
We know that,
We must determine what is causing the player's slower times.
The players' slower times are a result of their added weight.
So,
The player's weight is the explanatory variable, while their 40-yard dash time is the response variable.
Therefore, The explanatory variable is the player's weight and the response variable is the player's 40-yard dash when 40-yard dash more slowly than lighter players.
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A rental car company charges $22. 50 per day to rent a car and $0. 10 for every mile driven. Salma wants to rent a car, knowing that: she plans to drive 275 miles. She has at most $140 to spend. Write and solve an inequality which can be used to determine dd, the number of days salma can afford to rent while staying within her budget.
Salma can therefore rent the vehicle for a maximum of 5 days and go 275 miles. When A rental car company charges $22. 50 per day to rent a car and $0. 10 for every mile driven. Salma wants to rent a car, knowing that: she plans to drive 275 miles. She has at most $140 to spend.
Define inequality.In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
Given
Although your question is incomplete, you might be referring to the following in its entirety: Renting a car from a rental car agency costs $22.50 per day plus $0.10 every mile driven. Salma wants to rent a car because she knows she will go 275 kilometres. She can only spend up to $140. The number of days Salma can rent the car for while staying within her budget can be calculated by writing and solving an inequality.
The formula that solves this issue is:
Let x represent how many days Salma can afford to rent the automobile for.
Inequality
22.5x + 0.10(275) ≤ 140
22.5x + 2.75 ≤ 140
22.5x ≤ 140 - 2.75
22.5x ≤ 137.25
x ≤ 5
automobile rental on a daily basis get x <= 5
Salma can therefore rent the vehicle for a maximum of 5 days and go 275 miles.
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what is 90 times 1000 pls i really need it
Answer:
90000
Step-by-step explanation:
90 times 1000
= 90 × 1000
= 90000
Answer:9000
Step-by-step explanation:
Is Max () a method or function?
Max() is a method.
max() is a static method of Math , we always use it as Math.max() , rather than as a method of a Math object you created.
Static Method
A static method is a method defined as a member of an object but is accessible directly from an API object's constructor, rather than from an object instance created via the constructor.
Sometimes a method performs a task that does not depend on the data of any object . Such a method applies to the class in which it's declared as a whole and is known as a static method.
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What is the y-intercept of 7x 4y 8?
The y-intercept of any linear equation is the point where the line crosses the y-axis. The y-intercept of 7x 4y 8 is (0, -2).
We can find the y-intercept of 7x 4y 8 by setting x = 0 and solving for y.
7x 4y 8 = 0
4y = -8
y = -2
The y-intercept is (0, -2).
The y-intercept of any linear equation is the point where the line crosses the y-axis. We can find the y-intercept of 7x 4y 8 by setting x = 0 and solving for y. This gives us 4y = -8, which can be rearranged to y = -2. This means that the y-intercept of 7x 4y 8 is (0, -2).
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What is the solution set to the equation 4(x+3)(x-2)=0
Which expression is the simplest form ?
12. Joseph earns $262.50 for 35 h work. How much would he earn in 8 hours at the same rate of pay?
Answer:
Step-by-step explanation:
If Joseph earns 252.50 working 35 hours, that means his hourly rate is $7.50. If he works 8 hours, he will multiple the hourly rate, 7.50 x 8 = 60.
2. Liam picked tomatoes and onions from his garden this year. The ratio of the number of tomatoes to the
number of onions picked was 9 to 6. If 42 tomatoes were picked, how many onions were picked?
Answer:
28
Step-by-step explanation:
Since 42 tomatoes were picked, we can take the reciprocal (the reversed fraction) of the 9:6 ratio and make it 6:9, then multiply 42 by 6/9.
In triangle ABC, m∠B = (12x − 26)° and the measure of the exterior angle to ∠B is (7x − 22)°. Find m∠B.
If the value of the variable 'x' is 12. Then the measure of the angle ∠B will be 118°.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
In triangle ΔABC, ∠B = (12x − 26)°, and the measure of the exterior angle to ∠B is (7x − 22)°.
The sum of the interior and exterior angles will be 180°. Then the equation is given as,
(12x − 26)° + (7x − 22)° = 180°
12x - 26 + 7x - 22 = 180
19x - 48 = 180
19x = 228
x = 12
Then the measure of the angle ∠B will be given as,
∠B = 12 (12) - 26
∠B = 144 - 26
∠B = 118°
If the value of the variable 'x' is 12. Then the measure of the angle ∠B will be 118°.
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Answer:
118
Step-by-step explanation:
(12x - 26)
12x - 26 + 7x - 22 = 180
12x + 7x + 26 - 22 = 180 (add 26 and 22 together)
19 - 48
180 + 48
228/19 = 12
(12x(12) - 26)
12 x 12 = 144 - 26 = 118
118 is your answer deer (lol corny joke)
if a 50-year flood occurs on the mississippi river in a given year, what is the probability that a flood of the same size will occur in the following year?
By using the concept of probability, it can be calculated that
Probability that a flood of the same size will occur in the following year = [tex]\frac{1}{50}[/tex]
What is probability?
Probability gives us the information about how likely an event is going to occur
Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.
Probality of any event is greater than or equal to zero and less than or equal to 1.
Probability of sure event is 1 and probability of unsure event is 0.
50-year flood occurs on the mississippi river in a given year
Probability that a flood of the same size will occur in the following year = [tex]\frac{1}{50}[/tex]
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evaluate 11.1p+10.5r when p =6 and r = 7
The value of the algebraic expression 11.1p + 10.5r at p = 6 and r = 7 is 140.1
What is an algebraic expression?
Algebraic expression consists of variables and numbers connected with addition, subtraction, multiplication and division
The given algebraic expression is 11.1p + 10.5r
We have to find the value of the algebraic expression at p = 6 and r = 7
Putting x = 6 and y = 7 in the algebraic expression,
[tex]11.1 \times 6 + 10.5 \times 7[/tex]
66.6 + 73.5
140.1
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is there a direct or inverse relationship between the size of the distance between the two light sources d, and the locations of the maxima y n? (15 points)
There is a inverse relationship between the size of the distance between two light sources and the locations of maxima y n.
We can relate the distance between the two light sources d and location of maxima y n by a formula:
d = nλL y n
here nλL = constant then d = constant
y n d ∝ 1 y n
As they have inverse relation.
So the if we increase the distance between the two source lights then the location of the maxima will decrease.
An inverse relationship is one in which the value of one parameter tends to decrease as the value of the other parameter in the relationship increases. It is often described as a negative relationship.
An association between two variables such that they rise and fall in value together is known as Direct relationship.
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Baruti, a ranger in kruger national park in south africa, collected data about the elephant population in the park. She compared the foot lengths of the elephants and their shoulder height (both in centimeters) and created the following scatterplot and regression line. The fitted line has a slope of 5. 895. 895, point, 89. What is the best interpretation of this slope?.
The best interpretation of this slope is A. On average, each 1-centimeter increase in foot length was associated with a 5.89-centimeter increase in shoulder height.
The elephants of Kruger would need to be continuously culled until the habitats began to recover, at which point the reduced population numbers would need to be maintained until the vegetation had recovered to a near-climax state in order to determine that number.
The average change in the response (y) variable that is associated with a change of one unit in the explanatory (x) variable is shown by the slope of the regression line.
In this instance, the slope represents the average change in shoulder height caused by an increase in foot length of one centimeter.
Slope = ∆Y/∆X = change in Y per unit change in X = 5.89
thus, The average increase in shoulder height was 5.89 centimeters for every 1-centimeter increase in foot length.
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(complete questions)
Baruti, a ranger in kruger national park in south africa, collected data about the elephant population in the park. She compared the foot lengths of the elephants and their shoulder height (both in centimeters) and created the following scatterplot and regression line. The fitted line has a slope of 5. 895. 895, point, 89. What is the best interpretation of this slope?.
A. On average, each 1 centimeter increase in foot length was associated with a 5.89 centimeter increase in shoulder height.
B. On average, each 1 centimeter increase in shoulder height was associated with a 5.89 centimeter increase in foot length.
C. We would predict an elephant with a foot length of 0 centimeters to have a shoulder height of 5.89 centimeters.
D. We would predict an elephant with a foot length of 0 centimeters to have a shoulder height of 0 centimeters.
All changes saved
6. Portia is a designer working on creating plans for the city of Geocove's new waterpark. The graph shows her plan for a waterslide for young children. The equation that represents this line is y=-1/3x+4 The s-axis represents the ground, and the graxis represents
one of the poles that will support slide
Support Pole
Ground
Each unit on each axis represents 1 foot. Suppose that a rider coming down this side has a horizontal change of 6 feet. What is the value of their vertical thange? Explain your reasoning
The value of their vertical distance at a horizontal distance of 6 feet is 2 feet
How to determine the value of their vertical distance?From the question, we have the following parameters that can be used in our computation:
The equation of the function: y = -1/3x + 4
The above equation is a linear function
A linear function is represented as
y = mx + c
Where
slope = m and y-intercept = c
From the question, we have
x-axis = ground distance
y-axis = one of the poles
When the horizontal change is 6 feet, it means that
x = 6
So, we have
y = -1/3 x 6 + 4
Evaluate the products
y = -2 + 4
Evaluate the sum
y = 2
Hence, the vertical distance is 2 feet
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A perfect core in bowling i 300 point. You get a perfect core if you knock down 120pin in 10 frame. What are the decimal value and the percent of the number
of pin knocked down in relation to a perfect core?
0.4 ,40% the decimal value and the percent of the number of pin knocked down in relation to a perfect core.
A decimal number is what?Every decimal is indeed a number that is divided into two parts: a whole and then a fraction. Between integer, numeric values are used to express the numerical value of complete and partially whole amounts.
Briefing:Bowling's ideal score is 300 points.
You learn down pins in 10 frames, which is 120.
Finding the decimal value and the percentage of knocked-down pins in relation to a perfect score is necessary.
120/300 pins must be known down for a perfect score.
0.4 know-down pins are required for a perfect score.
Consequently, the decimal representation of the number of pins removed in relation to a perfect score is equal to 0.
We will increase the decimal value of the number of known down pins necessary for a perfect score by 100 to determine the percentage.
Pins needed to be known down for a perfect score: 0.4% of 100
40% of pins must be known down for a perfect score.
As a result, 40% of the known down pins are necessary for a perfect score.
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Brainliest will be rewarded please help!!!!!!!! Due in 5 min
Answer:
Step-by-step explanation:
a:5
b:8
d:20
E:20
PLEASE HELP! THIS IS IMPORTANT
what the missing number
The missing measure in the triangle is 46°
How to find the missing measure in the triangle?
Given: a triangle with angles 66°, 68° and a missing measure of x°
Since the sum of angles in a triangle is 180°. We have:
66°+ 68° + x° = 180°
134 + x = 180
x = 180 - 134
x = 46°
Thus, the missing number is 46°
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What are the rational numbers that are not natural or real numbers?
Examples of numbers that are rational number but not natural
-4, -5, 4/5, 0.89, 0.
Rational Numbers:
A type of real number known as a rational number is represented by the formula p/q, where q is not equal to zero. A rational number is any fraction with a non-zero denominator. 1/2, 1/5, 3/4, and other such numbers are a few examples of rational numbers. The number "0" is also a rational number because there are many ways to represent it, including 0/1, 0/2, 0/3, etc. However, since they give us infinite values, 1/0, 2/0, 3/0, etc. are illogical. Check the irrational numbers here as well and contrast them with the rational ones.
Natural Number:
All positive integers from 1 to infinity are included in the number system, which also includes natural numbers, which are also used for counting. There is no zero included (0). In fact, counting numbers are 1, 2, 3, 5, 6, 7, 8, 9, etc.
Real numbers, which only include the positive integers 1, 2, 3, 4,5, and 6, are made up of natural numbers. Negative numbers, fractions, decimals, and zero are not included.
Notably, zero and negative numbers are not considered to be natural numbers.
Few examples of numbers that are rational number but not natural
-4, -5, 4/5, 0.89, 0.
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How do I solve this??
The solution to the given expression -5 5/8 + 3 1/2 is -2 1/8.
What is the solution to the given expression?
Given the expression in the question;
-5 5/8 + 3 1/2
First, convert the mixed fraction into an improper fraction.
-(5×8 + 5)/8 + (3×2 + 1)/2
-(40 + 5)/8 + (6 + 1)/2
-(45)/8 + (7)/2
-45/8 + 7/2
Now, write 7/2 as fraction with common denominator as -45/8 by multiplying by 4/4
-45/8 + ( 7/2 × 4/4 )
-45/8 + ( 28/8 )
-45/8 + 28/8
Next, combine the numerators over common denominators
( -45 + 28 )/8
( -17 )/8
Covert back to mixed fraction
-2 1/8
Therefore, the result of the summation of the expression is -2 1/8
Option C is the correct answer.
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Solve for x
[tex]\bf 4\left(5x-2\right)=2\left(9x+3\right)[/tex]
4(5x-2) = 2(9x + 3)
distribute
20x-8 = 18x + 6
add 8 to both sides
20x = 18x + 14
subtract 18 x
2x = 14
divide by 2
x = 7
verify if true
4(5*7 - 2) = 2(9*7+3)
132 = 132
x does = 7
hope this helps
jeron
Answer:
[tex] \sf \: x = 7[/tex]
Step-by-step explanation:
Given equation,
→ 4(5x - 2) = 2(9x + 3)
Now the value of x will be,
→ 4(5x - 2) = 2(9x + 3)
→ 20x - 8 = 18x + 6
→ 20x - 18x = 6 + 8
→ 2x = 14
→ x = 14/2
→ [ x = 7 ]
Hence, the value of x is 7.
6,9, 27/2,....
Find the 6th term.
Answer: 45.563
Step-by-step explanation:
The 6th term of the geometric progression is given by a₆ = 729 / 16
What is Geometric Progression?A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.
The nth term of a GP is aₙ = arⁿ⁻¹
The general form of a GP is a, ar, ar2, ar3 and so on
Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
Given data ,
Let the 6th term of the geometric progression be a₆
Now , the first term of the GP is a₁ = 6
Let the second term of the GP be a₂ = 9
So , the common ratio of the GP is r = second term / first term
Substituting the values in the equation , we get
The common ratio r = 9/6 = 3/2
Now , the 6th term of the geometric progression a₆ = arⁿ⁻¹
On simplifying the equation , we get
The 6th term of the geometric progression a₆ = 6 ( 3/2 )⁵
The 6th term of the geometric progression a₆ = 6 ( 243 / 32 )
The 6th term of the geometric progression a₆ = 729 / 16
Hence , the 6th term of the GP is 729/16
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Tell whether the blue figure is a translation, reflection, rotation, or dilation of the red figure.
O translation
O reflection
O rotation
O dilation
Answer:
Dilation
Step-by-step explanation:
The blue figure is larger than the red figure. It wasn't moved, reflected, or rotated. So the only answer is a dilation since dilations involve the size of figures.
jacob has a tree growing in his yard. if the tree grows 9.5 feet per year, how many inches does it grow in a month?
Jacob has a tree growing in his yard. if the tree grows 9.5 feet per year, 9.5 inches does it grow in a month.
From the question, we have
Tree grows 9.5 feet per year
9.5 feet = 114 inches
Tree grows in one month = 114/12
= 9.5 inches
Divide:
Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups. When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers. One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things. It is a mathematical operation used for equal distribution and equal grouping.
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n a certain country, the heights and depths of a road are measured in relation to sea level. Sea level has a value of 0. The lowest point of the country lies at −8 feet. The highest point of the country lies at +107 feet. Which of the following statements best describes the lowest and the highest points?
The absolute bottom is 8 feet below ocean level, and the most noteworthy point is 107 feet above ocean level. Then the correct option is B.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
In a specific country, the levels, and profundities of a street are estimated comparable to the ocean level. The ocean level has a worth of 0. The absolute bottom of the nation lies at −8 feet. The most elevated mark of the nation lies at +107 feet.
The absolute bottom is 8 feet below ocean level, and the most noteworthy point is 107 feet above ocean level. Then the correct option is B.
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The missing option is given below.
A) The lowest point is 8 feet above sea level, and the highest point is 107 feet below sea level.
B) The lowest point is 8 feet below sea level, and the highest point is 107 feet above sea level.
C) The lowest point is 8 feet below sea level, and the highest point is 107 feet above the lowest point.
D) The lowest point is 8 feet above sea level, and the highest point is 107 feet below the lowest point.