From the given data, we say a definite integral is improper if one endpoint is infinite, or if the integrand is infinite.
One endpoint is infinite, or if the integrand is infinite, the definite integral cannot be evaluated using the usual techniques. Instead, we must use the concept of a limit to find the value of the integral, if it exists. In the case where one endpoint is infinite, we take a limit as a variable approaches infinity. In the case where the integrand is infinite, we may need to split the integral into pieces or use some other method to deal with the singularity.
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How long is 66.9 feet in inches?
One foot is equal to 12 inches. Therefore, to convert feet to inches, you need to multiply the number of feet by 12.
So, the value of 66.9 feet is equal to 802.8 inches.
Feet is measure from the back of your heel to the tip of your longest toe on the floor using a ruler or tape measure.
Inch is the British imperial and American customary systems of measurement both use the inch as their standard unit of length (symbolised as in or ′′). One inch is equal to 1/36 of a yard.
Here we want to convert 66.9 feet in inches.
To convert feet to inches, you can multiply the number of feet by 12.
So to convert 66.9 feet to inches:
66.9 feet x 12 inches/foot
= 802.8 inches
Therefore, 66.9 feet is equal to 802.8 inches.
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Find an equivalent ratio in simplest terms: 56:88
Answer:
7:11
Step-by-step explanation:
The ratio is 56:88
We simplify by 8 and get the ratio
7:11
We can't simplify anymore, so the answer is 7:11
How to convert 128 oz to gallon?
The converted values of the volume fluid ounce to gallons is given by :
128 oz = 1 gallons.
To measure the volume of any liquid fluid ounces and gallons are used as one of the standard form .Relation to convert fluid ounce to gallons in standard form is given by :
1 fluid ounce = 0.0078125 gallons
Now multiply both the side by 128 to get the required relation ,
⇒ ( 128 × 1 ) fluid ounce = ( 128 × 0.0078125 ) gallons
⇒ 128 fluid ounce = 1 gallons
Therefore, using the standard relation of fluid ounce to gallons the value of 128 oz is equal to 1 gallons .
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whats the common denominatior of 1/2 3/4 3/7
Answer:
28
Step-by-step explanation:
Smallest common multiple of 2, 4 and 7 -> 28
16. To the nearest hundredth of a mile per hour, a luge rider's top speed was 81.73
mph. What are some possible speeds to the thousandth of a mile per hour?
Some possible speeds to the thousandth of a mile per hour are 81.729 mph, 81.730 mph, 81.731 mph
How to find possible speeds to the thousandth of a mile per hourTo find some possible speeds to the thousandth of a mile per hour, we can look at the two nearest thousandths above and below the given speed of 81.73 mph.
The nearest thousandth below 81.73 is 81.729, and the nearest thousandth above is 81.731. Therefore, some possible speeds to the thousandth of a mile per hour are:
81.729 mph
81.730 mph
81.731 mph
All these speeds are all within 0.001 mph of the given speed of 81.73 mph.
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Kim donated half of her pants to charity, and kept her 7 favorite pants. When she was done, she was left with 35 pairs of pants. How many pairs of pants did she have in the beginning?
The answer is 84 pairs of pants.
Explanation:
According to the problem, she donated half of her pants to charity, which means she donated (1/2)x pairs of pants.
After donating half of her pants, she kept her 7 favorite pairs of pants. So, the number of pairs of pants she kept is 7.
The problem states that she was left with 35 pairs of pants after donating half of her pants and keeping her 7 favorite pairs. This means that the remaining number of pairs of pants is (x/2) - 7 = 35.
Solving for x, we get:
(x/2) - 7 = 35
x/2 = 42
x = 84
Therefore, Kim had 84 pairs of pants in the beginning.
Answer:
my guess is 17 .,.
Step-by-step explanation:
What is big idea in math?
The big idea in math are abstraction and infinity.
Mathematics is a vast and fascinating subject that involves exploring the concepts of numbers, shapes, patterns, and more. Within this subject, there are several big ideas that serve as the foundation for various mathematical theories and principles. One of the most prominent big ideas in math is that of abstraction.
Abstraction is a concept that allows mathematicians to generalize ideas and create models that can be applied to a wide range of situations. It involves taking a complex problem and breaking it down into smaller, more manageable components that can be easily analyzed and understood. This process often involves using symbols and equations to represent real-world situations and finding patterns and relationships between them.
Another big idea in math is that of infinity. This idea involves exploring the concept of endlessness and how it applies to different mathematical concepts. Infinity plays a critical role in calculus, where it is used to describe the behavior of functions as they approach limits and infinity.
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WORKING OUT!!! I cannot stress ts enough, it’s also the whole basis of my assignment. Please show working out
Answer:
$7500
Step-by-step explanation:
So to find mean the formula is total divided by no. of items or values so therefore the total no. of people is 310+390+380+420 which is 1500 people and if one ticket is $20 ,1500 tickets is 1500 multiplied by 20 which is $30,000 and the mean of one night would by 30,000 divided by 4 nights which is $7500 per night.Hope this helped!
The area of the rectangle is 34.56cm squared. The diamtetr is 2.75cm. WHAT is the surface area.
The total surface area is 46.43 square centimeter.
What is surface area?The region that includes the base(s) and the curved portion is referred to as the total surface area. It is the overall area that the object's surface occupies. The total area of a shape with a curved base and surface is equal to the sum of the two areas.
Given that, the area of the rectangle is 34.56 cm².
Here, the diameter is 2.75 cm, so radius =2.75/2=1.375 cm
Cylinder is made up of 1 rectangle and 2 circles.
Now, area of 2 circles =2πr²
= 2×3.14×1.375²
= 11.87 cm²
So, total surface area = 34.56+11.87
= 46.43 cm²
Therefore, the total surface area is 46.43 square centimeter.
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the terminal ray of angle b, drawn standard position, passes through the point (-5, 2pi7) what is the value of cos b?
The terminal ray of angle b, drawn standard position, passes through the point (-5, 2pi7) has the value of cos b = -5/ √25 + 196pi².
What is co-terminal angle?The starting side refers to the ray on the x-axis, and the terminal side refers to the other ray. A quadrantal angle is one in which the terminal side is "on" the axis.
The amount of rotation from the initial side to the terminal side is used to calculate the angle. The measurement is positive when done in a anticlockwise manner. The measurement is negative when taken anticlockwise. (A negative value for an angle's measure designates the clockwise "direction" of measurement.)
Coterminal angles are those that share the same terminal side when two angles are in standard position.
Given that, the terminal ray of angle b, drawn standard position, passes through the point (-5, 2pi7).
Using the Pythagoras Theorem:
r² = x² + y²
Substitute the values of x and y:
r² = (-5)² + (14pi)²
r = √25 + 196pi²
The value of cos b is given as:
cos b = x/r
cos b = -5/ √25 + 196pi²
Hence, the terminal ray of angle b, drawn standard position, passes through the point (-5, 2pi7) has the value of cos b = -5/ √25 + 196pi².
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Find the slope of a line perpendicular to the line whose equation is 10x-12y=-2410x−12y=−24. Fully simplify your answer
The slope of a line perpendicular to the given line is -6/5.
To find the slope of a line perpendicular to another line, we need to take the negative reciprocal of the slope of the original line.
The given equation is:
10x - 12y = -24
To find the slope of this line, we can rearrange the equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
First, we can subtract 10x from both sides:
-12y = -10x - 24
Then, we can divide both sides by -12 to isolate y:
y = (5/6)x + 2
Therefore, the slope of the original line is 5/6.
To find the slope of a line perpendicular to this line, we need to take the negative reciprocal of 5/6. The negative reciprocal is -6/5.
Therefore, the slope of a line perpendicular to the given line is -6/5.
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If m∠11 = 118, what is the measure of ∠8?
The measure of ∠8 is also 118º because angles opposite the vertex are equal.
To explain further, when two lines intersect, they create four angles. The angles that are directly across from each other are called angles opposite the vertex. These angles are always equal. So, if one angle measures 118 degrees, the angle opposite the vertex will also measure 118 degrees.
In this case, ∠11 and ∠8 are angles opposite the vertex. Therefore, if m∠11 = 118, then m∠8 = 118 as well.
So, the measure of ∠8 is 118.
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how to calculate inverse tangent?
The Inverse tangent is defined as the mathematical function that returns the angle whose tangent is a given number and the step to calculate the inverse tangent has been explained
Inverse tangent (also known as arctangent) is a mathematical function that returns the angle whose tangent is a given number. The inverse tangent function is denoted by "tan^-1" or "arctan".
To calculate the inverse tangent of a number, you can follow these steps:
Determine the input value (the number whose inverse tangent you want to find).
Use the inverse tangent function on your calculator.
The output of the inverse tangent function will be in radians. If you want the result in degrees, you can convert it using the formula: degrees = radians * (180/π), where π (pi) is approximately 3.14159
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25/12 answer with a decimal please, thank you!
Answer: 20.8
Step-by-step explanation: .
The vertical height in feet of a projectile on a planet in our solar system at a given time t in seconds is represented by the function h(t) = -42t^2 +252t. Re-write h(t) in the form h (t) = a(t- h)^2 + k and determine the maximum height of the projectile. Show all work.
The vertex form of the quadratic equation is:
h(t) = -42*(x - 3)² + 378
And the maximum height is 378 ft.
How to determine the maximum height of the projectile?We know that the height of the projectile is defined by the quadratic equation:
h(t) = -42t² + 252t
Remember that for any quadratic equation:
y = a*x² + b*x + c
The vertex is at:
x = -b/2a
So in this case, the vertex is at:
t = -252/(2*-42)
t = 3
So the maximum height of the projectile is:
h(3) = -42*3² + 252*3 = 378
And thus, the vertex is (3, 378), then the vertex form is:
h(t) = -42*(x - 3)² + 378
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What is 30 Meters in Feet?
Around 98.4 feet are equal to 30 metres.
The common formula 1 metre (m) = 3.28 feet (ft) will be used to convert measurements from metres to feet. Here, the conversion value is 3.28. To convert 10 metres to feet, for instance, multiply 10 by 3.28, which is 32.8 ft. Therefore, 10 meters = 32.8 feet.
Converting from metres to feet: 3.28084 metres are nearly equal to one metre. Add 3.28084 feet to the given metre value to convert it to feet. Add 3.28084 feet to the given metre value to convert it to feet. For instance, the conversion of 5 metres to feet is as follows: We are aware that the conversion factor for 5 metres to feet is 3.28084.
30 m * 3.280839895 ft/m =98.4251968504 ft
So, 30 metres is roughly equivalent to 98.4 ft.
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The second angle of the triangle is 25 degrees larger than the first, while the third angle of the triangle is 3 times the second. How big is the first angle? Remember, the sum of the angles in any triangle is 180 degrees.
Answer: look at the image for the answer and the explanation
Step-by-step explanation:
Answer: 16 degrees
Step-by-step explanation:
What is the conversion of 126 lbs to kg ?
Answer: 57.153 kilograms
Step-by-step explanation:
126 lbs is equal to 57.15 kg.
To convert pounds (lbs) to kilograms (kg).
you can use the conversion factor of 1 lb = 0.453592 kg.
To convert 126 lbs to kg:
multiply the weight in pounds by the conversion factor:
126 lbs×0.453592 kg/lb
= 57.152712 kg
Therefore, 126 lbs is equal to approximately 57.15 kg.
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What is the conversion of 60in to cm?
Answer:
is 152.4 cm.
The nurse is performing a physical assessment of a 10-year-old boy. The nurse notes
that during last year's check-up the child weighed 80 pounds. According to average growth for this age group, what would be his expected current weight?
A) 81 pounds
B) 85 pounds
C) 87 pounds
D) 89 pounds
Option B is the correct option.
A 10-year-old youngster is having his physical evaluated by the nurse right now. The nurse records that the child weighed 80 pounds during the previous year's checkup. The child's current weight should be around 86 pounds based on growth typical for this age group.
As per the data given in the above question are as bellow,
According to average growth for a 10-year-old boy,
the expected weight gain per year is around 5 to 7 pounds.
Assuming a steady growth rate,
the expected current weight of the child would be:
=80 pounds (last year's weight) + 6 pounds (average weight gain for a 10-year-old boy)
= 86 pounds
Therefore, the expected current weight of the child would be around 86 pounds, which is closest to option B) 85 pounds.
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Workmen used 2/3 of a pallet of pavers to build 3 steps leading up to the mansion. Each step they built was the same size. How many pallets did they use for each step?(IXL)
Write your answer as a fraction or as a whole or mixed number.
The required number of pallets used to build one step of the mansion is 1/8 of a pallet of pavers.
What is simplification?In mathematics, the operation and interpretation of a function to make it simple or easier to grasp is known as simplifying, and the process is known as simplification.
Given:
Total number of pallets used = 3/4,
Number of steps = 6
pallet used to build one step = [3/4] / 6 = 3 / 24
= 1 / 8
As a result, 1/8 of a paver pallet is what is needed to construct one step of the palace.
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Anne and Beate together have $120, Beate and Cecilie together have $60, and Anne and Cecilie together have $70. How much money do they have in total?
Answer:
Step-by-step explanation:
$270 in total
3. A bee can fly at an average rate of 7 miles/hour. If a bee flew nonstop
for 18 hours, how far will it have traveled?
If a bee can fly at an average rate of 7 miles per hour and it flew nonstop for 18 hours, we can find the distance it traveled by multiplying its average speed by the time it flew:
distance = speed x time
distance = 7 miles/hour x 18 hours
distance = 126 miles
Therefore, the bee would have traveled 126 miles in 18 hours.
Answer:
126 m (Miles)
Step-by-step explanation:
distance travelled = speed×time = 7×18 = 126 miles
what is 103 as a decimal?
103 in decimal terms can be denoted by simply dividing the term by 100 so the value will be given as 1.03.
The division method can be used to convert 103/100 to a decimal. Here is a brief recap on fractions before we go to the method: A fraction is a representation of a number that has been divided into two parts: the numerator, which is the number at the top, and the denominator, which is the number at the bottom. Divide the numerator (103 in this case) by the denominator (100 in this case) to produce a decimal using the division method:
100 (denominator) minus 103 (numerator) equals 1.03.
So there you have it! When you convert 103/100 to a decimal, the result is 1.03.
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prove that if x3 is irrational, then x is irrational.?
If x is a rational number, then x = ab and x³ = a³b³, so both x and x³ are rational numbers. Considering the objection to this statement, we conclude that if x is irrational, then x³ is also irrational number.
This question is in the form p → q. Based on the Definition of a rational number is a ∈ Z, b ∈ Z ≥0, and (a ≠ b) then a/b
Irrational Number:
All irrational numbers are real numbers that are not rational numbers. That is, an irrational number cannot be expressed as a ratio of two integers. A line segment is also said to be incommensurable if the ratio of the lengths of the two segments is irrational. That means there is no common "scale". That is, it can be used to express the length of two given segments as an integer multiple of itself.
Proof by inverse:
Inverse (q → p)
¬q≡ x is rational, and ¬p≡ x³ is rational.
∀x ∈ R:(x2∉Q)⇒(x∉Q) .
Using the method of proof by contradiction, let's try to prove that
∃x ∈ R: (x2∉Q) ∧(x∈ Q).
If x is irrational, then we can represent it the next way:
x= pq, p∈ Z, q ∈N.
Let's raise x to the 2nd power:
x³= (pq)³ = p³q³.
But p³ is an integer and q³ is natural:
m = p³∈Z, n= q³∈N.
So we can say that
x³ =mn, m∈ Z, q∈ N,
which means that x³ is irrational by definition
If x is a rational number, then x = ab and x³ = a³b³, so both x and x³ are rational numbers.
Considering the objection to this statement, we conclude that if x is irrational, then x³ is also irrational.
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For what types of associations are regression models useful?Choose the correct answer below.
A. Non-linear
B. Linear
C. Both linear and non-linear
D. For all types of associations
Option C. Regression models can be used for both linear and non-linear associations, but they are particularly well-suited for linear relationships.
Regression models are useful for modeling the relationship between variables, particularly for predicting the value of one variable based on the value of another.
Linear regression models are used for linear associations, while non-linear regression models are used for non-linear associations. However, even for non-linear associations, linear regression models can be useful for approximating the relationship between variables in certain cases. Nonetheless, in general, non-linear regression models are more appropriate for non-linear associations.
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A shipping company uses two different cube containers,A and B. Cube A holds half as much liquid as cube B. Cube A's edge length is 4 feet . What is the edge length of cube B? Round your answer to the nearest hundredth.
Answer:
2 feet.
Step-by-step explanation:
Since the volume of cube A is 64, we can divide the edge (4) by two because cube B can only hold half as much liquid.
Thus, the edge of cube b is 2 feet.
Hope it helped!
A 3-meter roll of brown paper costs $0.71. What is the unit price, rounded to the nearest cent?
Answer:
$0.24 per m
Step-by-step explanation:
how far is san antonio from dallas
Dallas and San Antonio, Texas are separated by approximately 240 miles (386 kilometres) by road. The predicted journey time is around 4 hours, although this may vary based on traffic and other conditions.
Dallas is located in Texas, in the country's southern central area. It is the ninth-largest city in the United States and the third-largest in Texas in terms of population. Dallas is part of the Dallas-Fort Worth metropolitan area, which is one of the largest in the United States. Dallas, in North Texas, is surrounded by a variety of suburban towns. Dallas and San Antonio are approximately 240 miles apart.
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the average american height is
According to CDC data as of 2021, the average height for adult men in the United States is around 5 feet 9 inches (69.2 inches or 175.7 cm), and the average height for adult women is around 5 feet 4 inches (64.2 inches or 162.5 cm).
Height is a measure of the distance between the base of an object and its highest point. Human height is commonly described as the vertical distance between the bottom of the feet and the top of the head. Height is generally measured in centimetres or feet and inches. Height is an important physical feature that can be influenced by both inherited and environmental factors such as nutrition and physical activity.
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