Answer:
{36, 38, 40, 42, 44}
Step-by-step explanation:
You are implying that you are adding up 5 consecutive numbers, and should use the word "add" or the word "sum."
"The sum of 5 consecutive odd numbers is 200" leads to:
x + (x+2) + (x+4) + (x+6) + (x+8) = 200. Note how each number is 2 more than the number preceding it. In this way you can guarantee that all of the 5 numbers are odd.
Summing up, we get 5x + 20 = 200, or 5x = 180.
Dividing both sides by 5, we get x = 36.
Then the 5 consecutive integers are
{36, 38, 40, 42, 44}. These add up to 200.
Unfortunately, these are consecutive EVEN numbers, not odd numbers.
Please ensure that you have copied down this problem correctly.
9514 1404 393
Answer:
Step-by-step explanation:
The decay factor is 1 -25% = 0.75 per hour, so the exponential equation can be written ...
r(t) = 1450·0.75^t . . . . . milligrams remaining after t hours
__
a) After 4 hours, the amount remaining is ...
r(4) = 1450·0.75^4 ≈ 458.79 . . . mg
About 459 mg will remain after 4 hours.
__
b) To find the time it takes before the amount remaining is less than 5 mg, we need to solve ...
r(t) < 5
1450·0.75^t < 5 . . . . use the function definition
0.75^t < 5/1450 . . . . divide by 1450
t·log(0.75) < log(1/290) . . . . . take logarithms (reduce fraction)
t > log(1/290)/log(0.75) . . . . . divide by the (negative) coefficient of t
t > 19.708
It will take about 20 hours for the amount of the drug remaining to be less than 5 mg.
Answer:
Total area is all area of a 2D shape or 3D shape combined.
You need to write out a formula for each shape.
Shape 1 ) A = L x H for any 4 sided 2D shapes
Shape 2) For irregular 4 sided 2D shapes you need to draw a line to create 2 triangles
L x L x L + L x L x L = A
Shape 3) For Trapezoid
Surface area can be given with this formula: Surface Area of Trapezoidal Prism = (b1+b2)h + PH. In this formula, b1 and b2 stand for the length of the bases of the trapezoid. Lower case h is the height of the trapezoid. Upper case P is the perimeter of the trapezoid, and upper case H is the height of the prism
Shape 4 cuboid or prism
You take the surface area x (above)
so that;
A + A of each face = Total combined Area.
Except for Rectangular prism where we first find the longer L x H = A
Then; A + A of each face if 3 different sizes faces would be A x 2 A x 2 A x 2. if 2 different sizes would be A x 2 A x 4 so that prism with 6 sides would equal 6
Some prism have 5 sides like a triangular prism
A x 2 A x 3
We would do the rectangles first to remind us the process of Volume for other questions.
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For circles we use A = π × r2
For cylinders we use A of the circle (just mentioned) so that A+ A are the circular areas then work out the area of the Side and add them using the formula 2πr2 + 2πrh.
Formula for sphere =A=4πr2
Step-by-step explanation:
Answer:
54 ft = 18 yd 9. 11 L ≈ 11.6236 qt 10. 80 g = 0.08 kg
Step-by-step explanation:
Ayoo i would say maybe start studying now but gradually work your way up ya know and to make sure that when youre in highschool to get good grades also try making a journal and writing things down 3x- 5x so you remeber it more and maybe chew gum while youre studying as ive heard that works too?