Answer:
Step-by-step explanation:
sin(-430)=-sin(430)=-sin(360+70)=-sin 70
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.
Learn more here:
https://brainly.com/question/2264277
marking people brainliest for random LOL comment if you wanna be marked brainliest
LOL, i really need points.
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]
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]Mako runs 10 miles in 2 hours. If he continues at this rate, how many miles
will he run in 5 hours?
A. 50 miles
B. 10 miles
O C. 25 miles
O D. 30 miles
Answer:
Answer: 25 miles
Step-by-step explanation:
Explanation: He will run 5 hours= 5x5=25
Answer:
25 miles
Step-by-step explanation:
I'll create a set of proportions to figure out the answer (represented by x):
2:10 = 5:x
It looks like our proportion on the left, 2:10, can be simplified by dividing both sides by 2 to get 1:5.
1:5 = 5:x
You can multiply 1 by 5 to get 5, so we should be able to multiply 5 by 5 to get the value of x. 5 times 5 is 25, so the answer to the question is 25 miles.
If you have questions or need clarification on anything, let me know!
f(x) = x + 2 and g(x) = x2 – 4
What is (fºg)(x)?
x² –2
x² + 4x
x² + 4x-2
Answer:
x^2-2
Step-by-step explanation:
Sorry I dont have an explanation, its saying its saying its not valid and I am in a rush rn.
Answer:
for the first box its: x²-2
for the second box its: 2
for the third box its: B
for the fourth box its: 12
Step-by-step explanation:
i just did the assignment on edge
-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.
Find the domain of Log (x-4)
Answer:Domain: ( 4 , ∞ ) , { x | x > 4 }
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
Please help guys this is hard for my 3rd grader Brain
Answer:
Add/multiply the exponents first.
Step-by-step explanation:
Plz help I need help
Answer:
What do you need help with mate?
Step-by-step explanation:
you don't have a question posted.
Bryon purchased a box of candy at the store. On his way home he ate 1/4 of the candy from the box. At dinner with friends later that night he served 1/2 of what was left. If there are 6 chocolates left in the box, how many did the box contain to start with?
Answer:
6+6=12
12= 3/4th of the entire box
4=1/4th of the entire box
12+4=16
There was 16 chocolates originally.
Step-by-step explanation:
6 are left , 1/2 was eaten and a 1/4 was eaten. 6 left is equal to a 1/4. if a quater is 6 and their are 4 1/4 in a whole at 6 represent each quarter then 6*4=24
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:
PLS PLS PLS I NEED HELP FAAAAAAAASSSSST GIVING BRAINLIEST TO QUICKEST CORRECT
Answer:
c hope this helps
Step-by-step explanation:
Answer:
The correct answer should be C.
At the movies, children's tickets are $6 each and adults' tickets are $10 each. Shandra buys 14 tickets. Let ᴀ be the number of adults going to the movies. Enter an algebraic expression in the box to represent the total price Shandra pays. Do not include the dollar sign in your answer.
Answer:
y=6x+10a
Step-by-step explanation:
let the number of children be x
and the number of adults be a
let the total price be y
given that children tickets are $6 each
also, an adult ticket is $10
x+a=14-------1
y=6x+10a----2
Therefore the expression for the total price can be expressed as
y=6x+10a
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.
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.
Write the equation of the line passing through the points (-7,8) and (7,2) The equation of the line is [ ]Can someone please help me!!!
Answer:
the answer is y=−3/7x+5
Step-by-step explanation:
sorry if I did it wrong
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:
Can an octagon have angles that measure 110°, 75°, 55°, 130°, 145°, 70°, 125°, and 70°?
Answer: 2.03
Step-by-step explanation:
Please help me with number 8
Answer:
jjejejkwkwkqkkqkqkqkkqkqkq
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
solve pls brainliest
Step-by-step explanation:
-181+485=304
-146-(-181)=35
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
If you want to learn more, you can read:
https://brainly.com/question/1349408
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
Layla painted 5/9 of a wall and Tim painted 6/7 of a wall. How much if the wall do they have left to paint?
Answer:
54/63 so 9 of wall to paint left
Step-by-step explanation:
I think its 9 to paint
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}
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:
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
Find the range of the data set : -5, -6, -1, -3, 6, 10
Work Shown:
range = max - min = 10 - (-6) = 10 + 6 = 16
The range is the distance from the smallest item to the largest. Use of a number line might help sort out the values to see which is the smallest and largest.