To find the lower sum, divide the interval into subintervals, evaluate the function at the left endpoint of each subinterval, and sum up the areas of the rectangles with those minimum values as heights.
Explanation:To approximate the area of the region using lower sums, we need to calculate the lower sum by dividing the interval into subintervals of equal width, finding the minimum value of each subinterval, and summing up the areas of the rectangles with those minimum values as heights.
In this case, we have the function y = sqrt(1-x^2). Let's say we divide the interval into n subintervals. The width of each subinterval would be (b-a)/n, where a and b are the lower and upper limits of the interval.
To find the minimum value of each subinterval, we can evaluate the function at the left endpoint of each subinterval. Let's call these points x1, x2, x3,..., xn. Then, the lower sum is given by: Lower Sum = (b-a)/n * (f(x1) + f(x2) + f(x3) + ... + f(xn)).
To check if the lower sums you calculated are correct, make sure you are using the left endpoints of the subintervals and that the calculation is accurate.
Anna wants to make 4 sets of curtains. Each setbrequires 5 1/8 yards of fabric. How much fabric does she need?
The price of an item has risen to $156 today. Yesterday it was $65 . Find the percentage increase.
A box contains 4 bags of sugar,The total mass of all 4 bags is 6 kg. What is the mass of each bag in grams?
Answer:
1500 g.
Step-by-step explanation:
So i'll start by converting 6 kg to grams. Which is 6000 g.
There are four bags so i will do 6000 divided by 4 which equals 1500.
So the answer is 1500. each bag weighs 1500 g.
Your welcome hope this was helpful!
Upon decomposition, one sample of magnesium fluoride produced 1.65 kg of magnesium and 2.57 kg of fluorine. a second sample produced 1.32 kg of magnesium. how much fluorine (in grams) did the second sample produce?
The amount of fluorine (in grams) on second sample is,
⇒ 2062.5 g.
Here,
On Sample one, 1.65 kg Magnesium and 2.57 kg Fluorine.
And, On second sample, 1.37 kg of magnesium and let x kg of fluorine.
We have to find the amount of fluorine (in grams) on second sample.
What is Ratio?
Ratios compare two numbers, usually by dividing them.
Now,
On Sample one, 1.65 kg Magnesium and 2.57 kg Fluorine.
And, On second sample, 1.37 kg of magnesium and let x kg of fluorine.
Hence,
The ratio from sample one,
⇒ 1.65kg / 2.57kg = 0.64
The ratio of second sample,
⇒ 1.3 kg / x kg
Now, Using Law of define properties of ratio, the first and second should have the same ratio.
Hence,
1.3 kg / x kg F = 0.64
x = 2.0315 kg F
x = 2031.2 g F
Therefore, The amount of fluorine (in grams) on second sample is,
⇒ 2062.5 g.
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The total cost of four pens and seven mechanical pencils is $13.25. The cost of each pencil is 75 cents.
a. Using an arithmetic approach, find the cost of a pen.
b. Let the cost of a pen be dollars. Write an expression for the total cost of four pens and seven mechanical pencils in terms of .
c. Write an equation that could be used to find the cost of a pen.
d. Determine a value for for which the equation you wrote in part (b) is true.
Answer:
Step-by-step explanation:
4x+7(0.75)=13.25
4x+5.25=13.25
4x=13.25-5.25
4x=8
X=$2 each
(-5)(2)-2(-3)+3
Expression
Perform Multiplication
Simplify
What are other names for a trapezoid
Final answer:
The term 'trapezoid' refers to a four-sided figure with at least one pair of parallel sides in American English, while 'trapezium' is the equivalent term in British English.
Explanation:
Other names for a trapezoid include trapezium in British English. The term trapezoid is commonly used in American English to describe a four-sided figure with at least one pair of parallel sides. In contrast, British English refers to the same shape as a trapezium. It is important not to confuse these terms with trapezius, which is a muscle in the human body, or other unrelated terms such as triad or tricarboxylic acid cycle (TCA).
i have a 5 in my ones place the digit in my tens place is 3 plus the digit in my ones place the digit in hundreds place is 2 less than the digit in my ones place what number am i
Let f(x)= x+3 and g(x)= 4x-3. Find (f+g)(3).
Translate this sentence into an equation. The difference of Rhonda's height and 16 is 52. Use the variable to represent Rhonda's height.
The sentence 'The difference of Rhonda's height and 16 is 52' translates into the equation 'h - 16 = 52'. Here, 'h' represents Rhonda's height.
Explanation:The subject matter of this question falls under Mathematics. Specifically, it deals with basic algebra where you have to translate word problems to an algebraic equation. Remember that the phrase 'the difference of' in math refers to the operation of subtraction. So, when you read 'the difference of Rhonda's height and 16 is 52,' that means Rhonda's height (which we’ll denote as 'h') minus 16 equals 52 (52 comes from the phrase 'is 52' because 'is' usually represents equal '='). Therefore, when this sentence is written in the form of an equation, it will look like: h - 16 = 52.
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Which equation has solution x = -3?
A) 2x - 7 = -1
B) 3x + 8 = 1
C) 1/2x + 8 = 10
D) 1/2 (2x - 6) = -6
Given the triangle below which of the follwing is a correct statement?
John made of a pound of fudge and Mary made of a pound of fudge. Ricky takes the sum of the two amounts of fudge and divides it into three equal portions, planning to keep one portion for himself. How much fudge does Ricky keep?
What is fifteen out of eighteen in simplest form
How do you solve 792 divided by 22
A laboratory technician needs to make a 108-liter batch of a 20% acid solution. How can the laboratory technician combine a batch of an acid solution that is pure acid with another that is 10% to get the desired concentration?
y and x have a proportional relationship, and y = 15 when x = 3. What is the value of x when y = 4?
Answer: 0.12
Step-by-step explanation:
The model was shaded two different ways to show a product. Which product is shown by the model?
Answer:
3/4.
Step-by-step explanation:
4/8 simplified=1/2 6/8 simplified=3/4.
A ski club charges a $48 membership fee, plus $18 to rent ski equipment per day. Which of the following equations can be used to find the total cost of membership at the club, when renting equipment for x days?
The equation for the given situation is y=48+18x.
Given that, a ski club charges a $48 membership fee, plus $18 to rent ski equipment per day.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, equipment is renting for x days.
Let the total cost of membership at the club be y.
Now, y=48+18x
Therefore, the equation for the given situation is y=48+18x.
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The greatest common factor of 18 and a and 20 AB
Answer:
1
Step-by-step explanation:
GCF(18, a, 20ab) = 1
18 and a do not necessarily have any factor in common, so their GCF is 1. Adding more terms to the list will not increase the GCF beyond that value.
Teddy was having trouble fitting into his clothes due to weight gain. In January he weighed 180 lbs 6 oz. He gain 3lbs 9 oz , 5 lbs 12 oz and 6 lbs 11 oz in the next 3 months how much does teddy weigh now
A) 196 lbs 6 oz
B) 196 lbs 8 oz
C) 194 lbs 6 oz
D) none
E) 194 lbs 8 oz
Let w be the set of all points in r3 that lie in the xz-plane. is w a subspace of r3?
How many ternary (0, 1, 2) sequences of length 10 are there without any pair of consecutive digits the same?
There are 10 spaces then the first space will be (3,1), the second one cannot be the same as the first one so it will have to be (2,1).
So it will come down to 3×2^9
There are 1536 ternary sequences of length 10 with no pair of consecutive digits the same.
Explanation:The question is asking about how many ternary sequences of length 10 there can be without any pair of consecutive digits being the same. In a sequence of length 10, each digit has 3 possible values (0, 1, 2) but cannot be the same as the digit before it. Therefore, the first digit has 3 choices, and each subsequent digit has 2 choices (since it can't be the same as the previous one). Using the multiplication principle of counting, there would be 3*2^9 = 1536 such sequences.
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A rectangle has a base of 2 yd and a height of 5 ft. Find the area of the rectangle. 30 yd2 30 ft2 10 yd2 10 ft2
Answer: [tex]30\ ft^2[/tex]
Step-by-step explanation:
We are given that
The base of the rectangle = 2 yards
The height of the rectangle = 5 feet
We know that
1 yard = 3 feet
Then , the base of the rectangle = [tex]2 \times3=6\text{ feet}[/tex]
Now, the are of the rectangle will be :-
[tex]\text{Area}=\text{Height x Base}\\\\\Rightarrow\ \text{Area}=5\times6\text{ square feet}\\\\\text{Area}= 30\text{ square feet}[/tex]
Hence, the area of the rectangle = [tex]30\ ft^2[/tex]
Answer:
i think is 30ft2
Step-by-step explanation:
What integer represents the change in balance from Monday to Tuesday?
The integer represents the change in balance from Monday to Tuesday is -34
What is integer?Zero, a positive natural number, or a negative integer are all considered integers. The equivalent positive numbers' additive inverses are represented by the negative numbers. The boldface Z or blackboard bold is frequently used to represent the set of all numbers.
Based on the question, there is a change in balance from Monday to Tuesday , then
monday=-21
Tuesday = -55
The change =-55 - (-12)
=-55+12
=-34
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Hayden is 59 inches tall and is standing on top of a ladder that is 2 yards tall. In inches, what is the distance from the top of Hayden's head to the ground?
Carlie works at a bakery making bagels and donuts. the oven timer for the donuts buzzes every 30 minutes, and the timer for the bagels buzzes every 40 minutes. if she started both timers at 8:00
a.m., when will the timers buzz at the same time?
The donut and bagel timers at Carlie's bakery will buzz together every 2 hours, so they will buzz at the same time for the first time at 10:00 a.m.
Explanation:This question is about finding the Least Common Multiple (LCM) of the two numbers - 30 minutes (the time the donut timer buzzes) and 40 minutes (the time the bagel timer buzzes). The LCM of 30 and 40 is 120 minutes. This means that the timers for the bagels and the donuts will buzz at the same time every 120 minutes, or 2 hours. Since Carlie starts both timers at 8:00 a.m., the timers will buzz together for the first time at 10:00 a.m.
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Six is less than or equal to the sum of a number n and 15
the solution is[tex]\( n \geq -9 \).[/tex]
Sure, let's break down the problem step by step.
1. The inequality given is[tex]\( 6 \leq n + 15 \).[/tex]
2. To find the value of ( n ), we'll start by isolating ( n ) on one side of the inequality.
[tex]6 &\leq n + 15 \\6 - 15 &\leq n \\-9 &\leq n[/tex]
So, the solution is[tex]\( n \geq -9 \).[/tex]
Now, let's explain the steps and the final answer in more detail.
The inequality[tex]\( 6 \leq n + 15 \)[/tex] states that "six is less than or equal to the sum of a number ( n ) and fifteen."
To solve for ( n ), we first subtract 15 from both sides of the inequality to isolate ( n ):
[tex]\[ 6 - 15 \leq n \][/tex]
This simplifies to:
[tex]\[ -9 \leq n \][/tex]
So, the solution to the inequality is[tex]\( n \geq -9 \),[/tex] which means that any number greater than or equal to -9 will satisfy the original inequality [tex]\( 6 \leq n + 15 \).[/tex]
In conclusion, the correct answer is[tex]\( n \geq -9 \)[/tex], and this means that any number greater than or equal to -9 makes the statement "six is less than or equal to the sum of that number and fifteen" true.
complete question
Six is less than or equal to the sum of a number n and 15
this number is 0.02 more than five and five tenths
A fence around a square garden is made up of 4 equal sized pieces that are each 5 1/2 feet long. Matt decided to make the sides 2 1/2 times longer. How much fencing does he need in all?