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enot [183]
3 years ago
14

You have 2424 homework problems for math class. You finish 1212 of them during some extra time in class. If you complete 44 more

problems while waiting for the bus, what fraction of the 2424 problems will remain?
Mathematics
1 answer:
alexira [117]3 years ago
5 1
In total you finished 1212+44 problems , which is 1256 problems
2424 -1256=1168 problems left
1168/2424=48%

48% of problems remain
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Jerome went on a hike. He climbed 3/4 of a mile in 2/3 of an hour. What was his hiking speed in miles per hour?
Anvisha [2.4K]
1 hour = 60 mins 1 mile = 60 mins 3/4 = 45 mins. 2/3 = 40 mins. So 45+ 40 = 1 hour and 25 mins.
6 0
3 years ago
(25 points!!!!!) solve for <2
stiv31 [10]

Step-by-step explanation:

135 = <2 + 86 [exterior angle of triangle is equal to the sum of its oppsite two interior angles]

or, <2 = 135 - 86

so, <2 = 49°

8 0
2 years ago
Apply Newton’s method to estimate the solution of x3 − x − 1 = 0 by taking x1 = 1 and finding the least n such that xn and xn +
ss7ja [257]

Solution :

Given

$f(x)=x^3-x-1, x_1=1$

$f'(x)=3x^2-1$

Let the initial approximation is $x_1 =1$

So by Newton's method, we get

$x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)},n=1,2,...$

$x_2=x_1-\frac{f(x_1)}{f'(x_1)}=1-\frac{1^3-1-1}{3(1)^2-1}=1.5$

$x_3=1.5-\frac{(1.5)^3-1.5-1}{3(1.5)^2-1}=1.34782608$

$x_4=1.34782608-\frac{(1.34782608)^3-1.34782608-1}{3(1.34782608)^2-1}=1.32520039$

$x_5=1.32520039-\frac{(1.32520039)^3-1.32520039-1}{3(1.32520039)^2-1}=1.32471817$

$x_6=1.32471817-\frac{(1.32471817)^3-1.32471817-1}{3(1.32471817)^2-1}=1.32471795$

$x_5 \approx x_6$ are identical up to eight decimal places.

The approximate real root is x ≈ 1.32471795

∴ x = 1.32471795

4 0
3 years ago
What is the area of this figure?
insens350 [35]

Answer:

54 units squared

Step-by-step explanation:

You have to divide the shape into simpler shapes such as rectangles and triangles that you can easily find the area of. Then, add those areas together. I divided it into one rectangle and three triangles.

Rectangle 1: length=7 width=6          6(7)=42

Triangle 1: base=6 height=2          1/2(6)2=6

Triangle 2: base=3 height=2          1/2(3)2=3

Triangle 3: base=6 height=1          1/2(6)1=3

Area= R1+T1+T2+T3= 42+6+3+3= 54 units squared

5 0
3 years ago
Read 2 more answers
)Elliot has been running a lawn care business since 2000. He cuts grass, trims, and weed whacks yards for his customers througho
maria [59]

Answer:

Rate of change = (1350 - 750)/(2010 - 2000) = 600/10 = $60

Initial value = $750

Equation is y = 60x + 750; where y is the amount charged to customer and x is the number of years from 2000.

8 0
3 years ago
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