867000 to the nearest ten is 867000 is your answer
hope this helps
Answer:
40
Step-by-step explanation:
Divide 12 by .40 (the percentage) to figure out what the full number would be.
Answer:
Length = 45.37 in
Width = 30.56 in
Step-by-step explanation:
Let the width of the picture be 'w' inches.
Given:
Perimeter of the picture is, 
Length is 15.75 inches shorter than twice the width. So, length is:
Now, we know that the perimeter of a rectangular shape is given as the sum of all of its side. So, the picture is also of rectangular shape and hence the perimeter is given as:
Plug in the values of 'l' and 'P' and solve for 'w'. This gives,
Therefore, the width of the rectangular picture is 30.56 inches.
Length of the picture is, 
So, length of the picture is 45.37 inches and width is 30.56 inches.
Lim x→0 (√(ax+b)-2)/x=1
You want to know the value of "a" and "b"
lim x→0 (√(ax+b)-2)/x=(√(0+b)-2)/0=(√b -2)/0;
Then if (√b -2)/0=1; the numerator must be "0"
(√b-2)=0
√b=2
(√b)²=2²
b=4
It is necessary the numerator must be "0", if the denominator is "0" and the result is equal a number.
Therefore:
lim (√(ax+4)-2)/x=1
x⇒0
I imagine you know Taylor Series.
√(ax+4)=(4(1+ax/4))¹/²=2(1+ax/4)¹/²
Remember:
(1/2)
(1+x)ᵃ=<span>Σ ( a ) x^a
</span>
In our case:
(1/2) (1/2) (1/2)
(1+ax/4)¹/²=( 0) (ax/4)⁰+( 1 ) (ax/4)¹+( 2) (ax/4)²+...
=1 +(1/2) ax/4 + -1/8 (ax/4)²+...
=1+ax/8-a²x²/128+...
Therefore:
lim (√(ax+4)-2)/x=lim [2(1+ax/8-a²x²/128+...)-2]/x=
x⇒0 x⇒0
lim [(2+ax/4-a²x²/64+...)-2]/x=
x⇒0
lim (ax/4-a²x²/64+...)/x=
x⇒0
lim x(a/4-a²x/64+...)/x=
x⇒0
lim (a/4-a²x/64+...)=(a/4-0-0-0-...)=4/a
x⇒0
Because:
lim (√(ax+4)-2)/x=1
x⇒0
Then:
4/a=1 ⇒ a=4
Answer: a=4; b=4
Answer:
Karen (and Devante) walked x feet. They will be toguether after walking 115 feet each.
Step-by-step explanation:
I will assume that you want to know how much karen was walked towards Devante. Since they both travel at the same speed, then if Devante walks x feet, so does Karen.
SInce both of them are traveling in opposite directions, then in order for them to meet they need to walk a total of 230 feet in combination toguether. Since they travel at the same speed, then each one has to travel half that amount, hence each one will travel 230/2 = 115 feet until they meet.
