Answer:
The correct option is C.
Step-by-step explanation:
The given equation of curve is
[tex]y=2x^2+1[/tex]
We need to find the area under the given curve from x = 0 to x = 4 using 4 rectangles and left endpoints.
We have 4 rectangles in x = 0 to x = 4. So,
[tex]\Delta x=1[/tex]
Left Riemann sum:
[tex]\sum_{i=0}^{n-1}\Delta xf(x_i)[/tex]
Using Left Riemann sum, we get
[tex]\sum_{i=0}^{4-1}(1)f(i)[/tex]
[tex]\sum_{i=0}^{3}(2i^2+1)[/tex] [tex][\because y=2x^2+1][/tex]
The area under the given curve from x = 0 to x = 4 using 4 rectangles and left endpoints is
[tex]\sum_{i=0}^{3}2i^2+1[/tex]
Therefore the correct option is C.
What is the exit diameter of a #4 size gas tungsten welding nozzle?
Jane’s score on her first text was 72%.On Her second test she received a score of 81%. What was her percent increase?
What equation could be used to solve this problem?
The sum of two consecutive integers is 141. Find the integers.
What is the distance between (4,7) and (2,2)?
Choose 1 Answer:
A: √10
B:√29
C: 8
D: 9
In a recent year there were about 400,000,000 mobile internet users. That same year, there were about 1.2* into 10 ninths desktop internet users. About how many time larger was the number of desktop internet users than the number of mobile internet users?
Final answer:
The number of desktop internet users is 3 times larger than the number of mobile internet users.
Explanation:
To find out how many times larger the number of desktop internet users is compared to mobile internet users, we need to perform a division. We divide the number of desktop internet users by the number of mobile internet users.
The number of desktop internet users is represented as 1.2 x 109. To simplify this number, we can write it as 1,200,000,000. The number of mobile internet users is 400,000,000.
Now, we divide the number of desktop internet users by the number of mobile internet users:
1,200,000,000 / 400,000,000 = 3
Therefore, the number of desktop internet users is 3 times larger than the number of mobile internet users.
true or false, If points F and G are contained in a plane, then FG is entirely contained in that plane
Perform the indicated operation.
7 + 9 + (-4)
20
-20
12
-12
Answer:
12Step-by-step explanation:
HAVE A GREAT DAY EVERYBODYFor accounting purposes, the value of assets (land, buildings, equipment) in a business are depreciated at a set rate per year. The value, V(t) of $408,000 worth of assets after t years, that depreciate at 18% per year, is given by the formula V(t) = Vo(b)t. What is the value of Vo and b, and when rounded to the nearest cent, what are the assets valued at after 8 years?
In the depreciation formula V(t) = Vo(b)^t, Vo is the initial value of $408,000, and b is 0.82 (1 minus 18% depreciation). After 8 years, using these values, the assets are valued at approximately $68,818.46 when rounded to the nearest cent.
The student's question relates to the depreciation of business assets over time. In the formula V(t) = Vo(b)^t, Vo represents the initial value of the assets and b represents the depreciation rate expressed as a base for the exponential function. Knowing that the asset is worth $408,000 initially and depreciates at 18% per annum, Vo equals $408,000, and b equals (1 - 0.18) or 0.82, which reflects the remaining value of the asset after one year.
To calculate the value after 8 years, we use the formula with the given values: V(8) = 408,000(0.82)^8. The calculation proceeds as follows:
V(8) = 408,000(0.82)^8V(8) = 408,000(0.1686747) (approximately after the 0.82 taken to the 8th power)V(8) = 68,818.46 (rounded to the nearest centTo answer the question, the value of the assets after 8 years, rounded to the nearest cent, is $68,818.46.
The equation y = 1.55x + 110,419 approximates the total amount, in dollars, spent by a household to raise a child in the United States from birth to 17 years, given the household’s annual income, x. Assume the household’s total cost of raising a child is $197,219. What is the household’s annual income?
Answer: $56,000
Step-by-step explanation:
Given: The equation [tex]y=1.55x+110,419[/tex] approximates the total amount, in dollars, spent by a household to raise a child in the United States from birth to 17 years, given the household’s annual income, x.
The household’s total cost of raising a child = $197,219
Put the above value in the equation, we get
[tex]197,219=1.55x+110,419\\\Rightarrow\ 1.55x=197219-110419\\\Rightarrow\ x=\frac{86800}{1.55}\\\Rightarrow\ x=56,000[/tex]
Hence, the household’s annual income is $56,000.
Nets consisting of a square and four triangles make a pyramid.
always, sometimes, never
Answer:
A pyramid is a three dimensional shape ,having base in the shape of any polygon and other faces in the shape of triangle.There are 8 edges, 5 vertices of this Pyramid.
→→ Sometimes
Why sometimes,because may be Length of edge that is base of Triangle Exceed the side length of Square, or Edge of Square exceed the side length of base of triangle.
Which equation is an example of the use of the associative property of addition ?
1) x+7=7+x
2)3(x+y)=3x+3y
3)(x+y) +3 =x+(y+3)
4)3+(x+y)=(x+y)+3
The associative property of addition is exemplified in the equation 3+(x+y)=(x+y)+3.
The equation that is an example of the use of the associative property of addition is:
3+(x+y)=(x+y)+3
This equation demonstrates that when adding three numbers, the grouping of the numbers does not affect the sum, showcasing the associative property of addition.
Suppose the ram for a certain computer has 256m words, where each word is 16 bits
Ramona deposited $4,190.51 into a savings account with an interest rate of 5.2% compounded twice a year. About how long will it take for the account to be worth $9,000?
A. 33 years, 5 months
B. 29 years, 9 months
C. 14 years, 11 months
D. 20 years, 8 months
solve the equation
6x-2y+1=0
3x-5y+7=0
I have lots of math questions and I need help!
Suppose you have 2 1/2 cups of ice cream. If a serving consists of 1/2 of a cup, how many servings do you have?
Question 1 options:
4
5
6
7
1/2 cup + 1/2 cup = 1 cup
so four 1/2 cups = 2 cups
so five 1/2 cup servings = 2 1/2 cups
answer is 5
Find three consecutive even integers such that 4 times the third integer is 4 more than the 3 times the first integer plus two times the second integer.
Help????????????????????????
Which statement is true about the domain of y = 3(2^-x)? Explain.
The domain is all real numbers greater than or equal to 2.
The domain is all real numbers greater than 0
The domain is all real numbers
The domain is all real numbers less than 0
The correct statement about the domain of y = 3(2-x) is that the domain is all real numbers. The domain of the function y = 3(2^-x) is all real numbers, as there are no restrictions on x from the form of the function itself.
The correct statement about the domain of y = 3(2-x) is that the domain is all real numbers. This is because for the function given, there are no restrictions on the values that x can take. The base of the exponent, 2, is positive and since exponents can take any real number, negative or positive, there is nothing to prevent any real x from being used as an input. Furthermore, since the function does not contain any terms that would result in undefined operations, such as division by zero or negative numbers under an even root, the domain remains unrestricted.
The mathematical equation relating the independent variable to the expected value of the dependent variable; that is, e(y) = ?0 + ?1x, is known as
Find an expression in simplest form for the verbal description. The sum of the cost of dinner d and a $27 tip divided equally between 3 people
Final answer:
The expression for the cost of dinner plus $27 tip divided by three people is (d + 27) / 3.
Explanation:
To find an expression for the given verbal description, first write the sum of the cost of dinner d and a $27 tip. This sum is represented by the expression d + 27. Then, to divide this sum equally among 3 people, you divide the entire expression by 3. The final expression in simplest form would be (d + 27) / 3.
It takes you 40 seconds to walk from the first (ground) floor of a building to the third floor. how long will it take to walk from the first floor to the sixth floor (at the same pace, assuming that all floors have the same height)
Final answer:
The probability of a 5-bit binary code word containing exactly one zero, when each bit has a 0.8 probability of being zero, is calculated using the binomial probability formula. The final answer to this problem is 0.0064.
Explanation:
The student is asking about the probability of having exactly one zero in a 5-bit binary code where each bit has a probability of 0.8 of being zero. To calculate this, we will consider the binomial distribution where the number of trials (n) is 5 (since the code has 5 bits) and the probability of success (having a zero) in each trial (p) is 0.8. We want to find the probability of having exactly one success (one zero).
Using the binomial probability formula:
P(X = k) = (n choose k) * p^k * (1-p)^(n-k),
where X is the random variable representing the number of zeros, and k is the number of successes (zeros) we want, which in this case is 1. We plug in our values:
n = 5
k = 1
p = 0.8
P(X = 1) = (5 choose 1) * 0.8^1 * (1-0.8)^(5-1) = 5 * 0.8 * 0.2^4 = 0.0064.
The final answer is that the probability of a 5-bit binary code containing exactly one zero is 0.0064.
The true conditional statement, "If 5x + 7 = 2x - 1, then 3x + 7 = -1," illustrates which property of equality?
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
Answer: The correct option is second, i.e., Subtraction Property of Equality.
Explanation:
The given equation is,
[tex]5x+7=2x-1[/tex]
The Subtraction Property of Equality states that if a, b and c are real numbers then, [tex]a=b[/tex] and [tex]a-c=b-c[/tex] are equivalent equations.
Using Subtraction Property of Equality we subtract 2x from both the sides of given equation,
[tex]5x+7-2x=2x-1-2x[/tex]
Then combined like terms,
[tex](5x-2x)+7=(2x-2x)-1[/tex]
[tex]3x+7=-1[/tex]
It is the required equation.
Hence, second option is correct.
Some friends equally split some containers of strawberries. each container held the same number of strawberries. the expression 9x/7 represents how many strawberries each person received when splitting x containers. what does the number 7 in the expression represent?
Find the perimeter of quadrilateral pqrs with the vertices p(2 4) q(2 3) answer
Although this problem can be solved easily if given the figure, we can simply imagine to solve this. We see that we are given two points of the quadrilateral which are (2, 4) and (2, 3). This means that from P to Q, there is only a distance of 1. Since a quadrilateral has 4 equal sides therefore the perimeter is 4 units.
Answer:
4 units
Use the distributive property to simplify the expression ( y − 9 ) ( 10)
Alex’s father is 5 times older than Alex and Alex is twice as old as his brother Nick who is 5 years old. How old is Alex's father?
Answer:
i think its 50....
Mike and his friend were playing 2 on 2 at the public court. They were using a homemade basketball and the volume of the ball was 288p. A regulation basketball has a circumference between 29.5-30 in. Can this ball be used in a regulation basketball game?
Define variable for traveling 2345 total but I've already went 775 miles. If i want to split the remaining miles left into 5 days
what is 48% of 576? round the answer to the nearest hundredth