Find the value of 4×10exponent2

2 answers:

6 0

400, PEMDAS tells us exponent before multiplication so you would do 10 x10 because it's to the 2nd power which is 100 then multiply by 4 = 400

Phantasy [73]2 years ago

3 0

The answer is 400 because 4*10 is 40 and 40 to the second power is 400.

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A land mass is roughly in the shape of a rectangle whose perimeter is 1200 miles the width is 120 miles less than the length fin

Ostrovityanka [42]

Answer:

Length: 360. Width: 240.

Step-by-step explanation:

360 * 2 = 720

240 * 2 = 480

720 + 480 = 1,200

7 0

2 years ago

There are 5 types of fruit in a basket. There are 3 apples, 2 bananas, 4 oranges, 5 kiwi, and 1 passionfruit. You ask a friend t

creativ13 [48]

Answer:

Five out of fifteen or one out of three

Step-by-step explanation:

Add up all of the fruit in the basket - 15

Number of kiwi - 5

If you simplify 5/15 you get:

1/3

3 0

2 years ago

Find a formula for the described function. A rectangle has perimeter 16 m. Express the area A of the rectangle as a function of

Alex17521 [72]

Part A:

Let the length of one of the sides of the rectangle be L, then the length of the other side is obtained as follow.

Let the length of the other side be x, then

$2(L+x)=16 \\ \\ \Rightarrow L+x=8 \\ \\ \Rightarrow x=8-L$

Thus, if the length of one of the side is x, the length of the other side is 8 - L.

Hence, the area of the rectangle in terms of L is given by

$L(8 - L) = 8L-L^2$

Part B:

To find the domain of A

Recall that the domain of a function is the set of values which can be assumed by the independent variable. In this case, the domain is the set of values that L can take.

Notice that the length of a side of a rectangle cannot be negative or 0, thus L cannot be 8 as 8 - 8 = 0 or any number greater than 8.

Hence the domain of the area are the set of values between 0 and 8 not inclusive.

Therefore,

$dom(Area)=0\ \textless \ L\ \textless \ 8 \ or \ (0, 8)$

3 0

3 years ago

Help with question 5a

Llana [10]

This is a refreshing question!

We are given that
f(r)=ar+b, and
Sum f(r) =125 for r=1 to 5
Sum f(r) = 475 for r=1 to 10.

and we know, using Gauss's method, that
G(n)=sum (1,2,3.....n) = n(n+1)/2 or
G(n)=n(n+1)/2

Sum f(r) =125 for r=1 to 5
=>
sum=a(sum of 1 to 5) + 5b => G(5)a+5b=125 [G(5)=15]
15a+5b=125 ...................................................(1)

Similarly, Sum f(r) = 475 for r=1 to 10 => G(10)a+5b=475 [G(10)=55]
=>
55a+10b=475.................................................(2)

Solve system of equations (1) and (2)
(2)-2(1)
55-2(15)a=475-2(125) => 25a=225 =>
a=9

Substitute a=9 in 1 => 15(9)+5b=125 => 5b=-10
b=-2

Substitute a and b into f(r),
f(r)=9r-2
check: sum f(r), r=1,5 = (9-2)+(18-2)+(27-2)+(36-2)+(45-2)=135-10=125 [good]

We define the sum of f(r) for r=1 to n as
S(n)=sum f(r) for r=1 to n = 9(sum 1,2,3....n)-2n = 9n(n+1)/2-2n = 9G(n)-2n
S(n)=9n(n+1)/2-2n
checks:
S(5)=9(15)-2(5)=135-10=125 [good]
S(10)=9(55)-2(10)=495-20=475 [good]

Hence
(a)
S(n)=sum f(r) for r=1,n
= 9(sum i=1,n)+n(-2)
= 9(n(n+1)/2 -2n
=(9(n^2+n)/2) -2n

(b) sum f(r) for i=8,18
=sum f(r) for i=1,18 - sum f(r) for i=1,7
=S(18)-S(7)
=(9(18^2-18)/2-2(18))-(9(7^2-7)/2-2(7))
=1503-238
=1265

5 0

2 years ago

Which choice represents the expression below as a single exponential

Lostsunrise [7]

Answer:

Step-by-step explanation:

When multiplying numbers with the same base but different exponents, add the exponents together.

4 0

2 years ago