Answer:
145.8
Step-by-step explanation:
−4.5 x −6 x 5.4
Answer:
the answer is 145.8
Step-by-step explanation:
sorry if I did it wrong
Use finite approximation to estimate the area under the graph of f(x) = 5^2 and above the graph of f(x) = 0 from X(o) = 0 to x(n )= 14 using b) a lower sum with two rectangles of equal width. in) a lower sum with four rectangles of equal width. in) an upper sum with two rectangles of equal width. iv) an upper sum with four rectangles of equal width.
Finite approximation method of estimating the area under the curve of the
given function makes use of rectangular approximation of the area.
The correct responses are;
i) The estimated area using a lower sum with two rectangles of equal width is 1,715 square units.
ii) The estimated area using a lower sum with four rectangles of equal width is 3,001.25 square units.
iii) The estimated area using an upper sum with two rectangles of equal width is 8,575 square units.
iv) The estimated area using a upper sum with four rectangles of equal width is 6,431.25 square units.
Reasons:
The given function is f(x) = 5·x²
The given domain is x₀ to x₁₄
i) Estimate using lower sum with two rectangles of equal width;
[tex]Let \ \Delta x = \dfrac{14}{2} = 7 \ we \ get;[/tex]
f(0) = 0
f(7) = 5 × 7² = 245
A = 0 × 7 + 245 × 7 = 1,715
The estimated area using a lower sum with two rectangles of equal width
is 1,715 square units.
ii) Estimate using lower sum with four rectangles of equal width;
[tex]Let \ \Delta x = \dfrac{14}{4} = 3.5 \ we \ get;[/tex]
f(0) = 0
f(3.5) = 5 × 3.5² = 61.25
f(7) = 5 × 7² = 245
f(10.5) = 5 × 10.5² = 551.25
A = 0 × 3.5 + 61.25 × 3.5 + 245 × 3.5 + 551.25 × 3.5 = 3,001.25
The estimated area using a lower sum with four rectangles of equal width is 3,001.25 square units.
iii) Estimate using an upper sum with two rectangles of equal width;
[tex]Let \ \Delta x = \dfrac{14}{2} = 7 \ we \ get;[/tex]
f(7) = 5 × 7² = 245
f(14) = 5 × 14² = 980
A = 245 × 7 + 980 × 7 = 8575
The estimated area using an upper sum with two rectangles of equal width
is 8,575 square units.
iv) Estimate using an upper sum with four rectangles of equal width;
[tex]Let \ \Delta x = \dfrac{14}{4} = 3.5 \ we \ get;[/tex]
f(3.5) = 5 × 3.5² = 61.25
f(7) = 5 × 7² = 245
f(10.5) = 5 × 10.5² = 551.25
f(14) = 5 × 14² = 980
A = 61.25 × 3.5 + 245 × 3.5 + 551.25 × 3.5 + 980 × 3.5 = 6,431.25
The estimated area using a upper sum with four rectangles of equal width
is 6,431.25 square units.
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Heyyy , help maybe please and thanks
Answer:
brian drink 7 cups of milk
Step-by-step explanation:
Please help guys this is hard for my 3rd grader Brain
Answer:
Add/multiply the exponents first.
Step-by-step explanation:
in 4567 which number means ones?
Answer:
7 means ones because it is the units
Step-by-step explanation:
4= thousand
5= hundred
6= tens
7=ones / unit
Need this by tomorrow please and thank you!
Answer:
I think it's x=5
Step-by-step explanation:
3x+15=2x+20
-2x. -2x
x+15=20
-15. -15
x=5
sorry if is not the answer
Lena can knit 14 square inches of a blanket in 3 1/2 hours.
Find the number of square inches knit per hour and the number of hours spent knitting per square inch
Step-by-step explanation:
No. of square inches of knit per hour is 14 and No. of hours spent in knitting 1 square inch is \frac{1}{14}141
Step-by-step explanation:
We are given that Lena can knit 14 square inches of a blanket in hours
So, No. of square inches of knit per hour = 14
No. of hours spent in knitting 14 square inch = 1
No. of hours spent in knitting 1 square inch = \frac{1}{14}141
So, No. of square inches of knit per hour is 14 and No. of hours spent in knitting 1 square inch is \frac{1}{14}141
You save $3,260.00 in a savings account earning a 3.55% APR compounded monthly. How much is the total interest earned by the end of the third month?
A)$21.02
B)$28.59
C)$27.01
D)$23.56
Answer:
I think it would be this
Step-by-step explanation:
3,032,644 dollars left over. I am very sorry if I am wrong.
6. Three cards are drawn from an ordinary deck and not replaced. What is the
probability of getting 3 spades?
We want to find the probability of randomly drawing 3 spades from a standard deck.
The probability of getting 3 spades is 0.0129
Let's see how to get that probability.
A standard deck has 52 cards, 13 of them are spades.
The probability of randomly drawing a spade card is given by the quotient between the number of spades and the total number of cards.
So for the first spade card, the probability is:
p = 13/52
For the second card, take in mind that we already drew a spade card, so now there are 12 spade cards and 51 cards in total, so we have:
q = 12/51
For the final card, there will be 11 spade cards and 50 cards in total, but we will have:
k = 11/50
The joint probability (this is, the probability of getting the 3 spade cards one after the other) is equal to the product of the individual probabilities, so we will get:
P = p*k*q = (13/52)*(12/51)*(11/50) = 0.0129
The probability of getting 3 spades is 0.0129
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Solve.
-3.7 =-5.4x – 5.5
Enter your answer as a fraction in simplest form in the box.
Answer:
[tex] - \frac{1}{3} [/tex]
Step-by-step explanation:
[tex] - 3.7 = - 5.4x - 5.5 \\ - 3.7 + 5.5 = - 5.4x \\ 1.8 = - 5.4x \\ \ - \frac{1.8}{5.4} = x = - \frac{1}{3} [/tex]
if 126 base n =86 base ten, find the positive value of n
Answer:
8
Step-by-step explanation:
If a polyhedron has 11 faces and 18 edges, how many vertices does it have?
Use Euler's formula for polyhedra: V - E + F = 2
vertices - edges + faces = 2
So edges = vertices + faces - 2 = 18 + 11 - 2 = 27.
Answer:
27 edges.
5x + 2 = 3x + 4(2x - 1)
show steps
Answer:
x=1
Step-by-step explanation:
5x+2=3x+4(2x-1)
5x+2=3x+8x-4
5x+2=11x-4
5x-11x=-4-2
-6x=-6
6x=6
x=1
A line passes through the points (0,5) and (3,6). What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = 1/3x + 5
Step-by-step explanation:
Slope = (change in y)(change in x)
Slope = (6 - 5)/(3 - 0)
Slope = 1/3
Substitute m = 1/3 and one given ordered pair into y = mx + b. using (3, 6)
y = mx+ b
6 = 1/3(3) + b
6 = 1 + b
5 = b
the equation is y = 1/3x + 5
A biased coin has a probability of 0.4 of coming up heads. What is the probability that when flipped one hundred times it comes up heads half of the trials or more. Give answer to at least three decimal points.
Using the binomial probability relation ; the probability that an head is obtained at least 50 times is 0.0271
Using the binomial probability relation :
P(x = x) = nCx * p^x * q^(n-x) p = probability of success = 0.4q = 1 - p = 0.6n = number of trials = 100P(x ≥ 50) = p(x = 50) + p(x = 51) + ...+ p(x = 100)
Using a binomial probability calculator :
P(x ≥ 100) = 0.0271
Therefore, the probability that atleast 50 heads are obtained in the trial is 0.0271
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PLEASE HELP WITH ALL!!!
Answer:
3)x=-9
4)x=-2
5)x=-4
6)x=-5
7)x=-12
8)x=-11
Step-by-step explanation:
-3/5 is greater than or less than -4/5
-3/5 is greater than -4/5
Step-by-step explanation:
If they were just regular positive numbers then yes, it would be less than -4/5. However since they are negative for this I will switch them to decimals, . -.60 is more an -.80 because it is basically like a dept you owe.
If a small boy in 30 days saved 1.00 to spend how much did he save each day
Answer:5 Penny's everyday for thirdy days
Step-by-step explanation:
Find k if X=2 and y=1 is a solution of 2x-8y+k/2=0
Answer:
k=2
Step-by-step explanation:
2x-8y+k/2=0
puting the values of x and y
2*2-8*1+k/2=0
4-8+k/2=0
-4+k/2=0
k/2=4
sing changes if side changed
k=4/2
k=2
We first substituted the X and Y in the equation, so 2 instead of X and 1 instead of Y.
Then I moved the K to make it the subject of the equation by algebra which gave me a -K, but I want k not negative k so I multiplied everything by -1 because, -1 × -1= +1 so K=2.
Can an octagon have angles that measure 110°, 75°, 55°, 130°, 145°, 70°, 125°, and 70°?
Answer: 2.03
Step-by-step explanation:
Archimedes drained the water in his tub. The amount of water left in the tub (in liters) as a function of time (in minutes) is graphed. How much water was initially in the tub?
Answer:
y+zx=a (see below for variables
Step-by-step explanation:
You haven't attached an image, so I'll I assume you want the equation
y is amount of water, x is time, z is water drained per minute, and a is the original amount o water
y=a-zx
rearranging it for the original amount of water
y+zx=a
Answer:
360 liters
Step-by-step explanation:
The time when the draining began is the same as 0 minutes since the beginning of the draining. So we need to look for the point on the graph where Time is 0, which is the y-intercept. The point we are looking for is (0,360), which means that at the beginning of the draining, there were 360 liters of water in the tub.
Please help me with number 8
Answer:
jjejejkwkwkqkkqkqkqkkqkqkq
Find the difference in area between the circle and the triangle. possible answers are
- A=27pi
- A=4pi-8
- A=9pi-9/2radical 3
- A=16/3pi
- A=16
Answer:
jo in no w fo r intelligent bio logy class fo r girl cth-qoqo-xvc
Step-by-step explanation:
A=9pi-9/2radical 3
this is the answer
brainliest please
A pair of adjacent angles that form a straight line
Answer:
it is called a linear pair.
mark brainliest pls
Answer:
lianer lines
Step-by-step explanation:
Find the domain of Log (x-4)
Answer:Domain: ( 4 , ∞ ) , { x | x > 4 }
“In any given triangle, the square of the longest side is equal to the sum of the squares of the two shorter sides.” a. 5 cm, 12 cm, 13 cm b. 4 cm, 5 cm, 7 cm c. 3 cm, 4 cm, 5 cm d. 9 cm, 12 cm, 15 cm
The statement "the square of the longest side is equal to the sum of the squares of the two shorter sides" is true for a right-angled triangle.
(a) 5 cm, 12 cm and 13 cm
The statement is represented as:
[tex]\mathbf{13^2 = 12^2 + 5^2}[/tex]
[tex]\mathbf{169= 144 + 25}[/tex]
[tex]\mathbf{169= 169}[/tex]
Hence, the statement is true for triangle (A)
(b) 4 cm, 5 cm and 7 cm
The statement is represented as:
[tex]\mathbf{7^2 = 5^2 + 4^2}[/tex]
[tex]\mathbf{49 = 25 + 16}[/tex]
[tex]\mathbf{49 = 41}[/tex]
Hence, the statement is not true for triangle (B)
(c) 3 cm, 4 cm and 5 cm
The statement is represented as:
[tex]\mathbf{5^2 = 4^2 + 3^2}[/tex]
[tex]\mathbf{25 = 16 + 9}[/tex]
[tex]\mathbf{25 = 25}[/tex]
Hence, the statement is true for triangle (C)
(d) 9 cm, 12 cm and 15 cm
The statement is represented as:
[tex]\mathbf{15^2 = 12^2 + 9^2}[/tex]
[tex]\mathbf{225 = 144 + 81}[/tex]
[tex]\mathbf{225 = 225}[/tex]
Hence, the statement is true for triangle (D)
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Find the accumulated value of an investment of $20,000 for 7 years at an interest rate of 5.5% if the money is:
a. compounded semiannually
b. compounded quarterly
c. compounded monthly
d. compounded continuously.
---Round answers to nearest cent
Answer:
See belowStep-by-step explanation:
Given:
Investment P = $20000Time t = 7 yearsInterest rate r = 5.5% = 0.055a. compounded semiannually, n = 2
[tex]A = P*(1 + r/n)^{nt} = 20000(1+0.055/2)^{2*7} = 29239.88[/tex]b. compounded quarterly, n = 4
[tex]A = P*(1 + r/n)^{nt} = 20000(1+0.055/4)^{4*7} = 29315.30[/tex]c. compounded monthly, n = 12
[tex]A = P*(1 + r/n)^{nt} = 20000(1+0.055/12)^{12*7} = 29366.44[/tex]d. compounded continuously
[tex]A = Pe^{rt}=20000*e^{0.055*7}=29392.29[/tex]If a person can paint a hall in 10 hrs, what is her rate?
I don't know if this is a question that deserves an answer but I say a 2 out of 5 .
Any helpp? someone....?
Answer:
I think that the speed is 65mph, because there is the largest number of people on the graph for 65mph.
Step-by-step explanation:
Determine the domain and the range of the relation, and tell whether the relation is
a function.
{(13,2), (18, – 5), (39,2), (13,4), (51,4)}
--
What is the domain and range?
Step-by-step explanation:
it is NOT a function, because one x value (13) has more than one associated result value (2 and 4). that violates the basic principle of a function.
anyway, the domain is the interval or set of the valid values for x, and the range the interval or set of the valid values for y.
the domain is {13, 18, 39, 51}
the range is {-5, 2, 4}
16 31 Here is a compound shape made from two rectangles. - 6 cm 4 cm NOT DRAWN 9 cm TO SCALE 12 cm n ek NO ME (a) Calculate the perimeter of the shape. cm (1 EN UN
Answer:
Well perimeter is adding up all the sides since it's a rectangle the first one is just 6 + 6 + 4 + 4 = 20 cm
The second would be 9 + 9 + 12 + 12 = 42 cm if this is not an option or if it is wrong let me know and I will try again