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2 years ago

1651 rounded to the nearest thousand

Mathematics

1 answer:

geniusboy [140]2 years ago

7 0

Answer:

2000

nearest thousandth

if the last 3 digits are over 500 then it's rounding up

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Evan wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn, so he needs no fence

pentagon [3]

Answer: A. A=(1000-2w)*w B. 250 feet

C. 125 000 square feet

Step-by-step explanation:

The area of rectangular is A=l*w (1)

From another hand the length of the fence is 2*w+l=1000 (2)

L is not multiplied by 2, because the opposite side of the l is the barn,- we don't need in fence on that side.

Express l from (2):

l=1000-2w

Substitude l in (1) by 1000-2w

A=(1000-2w)*w (3) ( Part A. is done !)

Part B.

To find the width w (Wmax) that corresponds to max of area A we have to dind the roots of equation (1000-2w)w=0 ( we get it from (3))

w1=0 1000-2*w2=0

w2=500

Wmax= (w1+w2)/2=(0+500)/2=250 feet

The width that maximize area A is Wmax=250 feet

Part C. Using (3) and the value of Wmax=250 we can write the following:

A(Wmax)=250*(1000-2*250)=250*500=125 000 square feets

3 0

3 years ago

A store finds that its sales revenue changes at a rate given by S'(t) = −30t2 + 420t dollars per day where t is the number of da

allochka39001 [22]

Answer:

Step-by-step explanation:

Give the rate of change of sales revenue of a store modeled by the equation $S'(t)= -30t^{2} + 420t$ . The Total sales revenue function S(t) can be gotten by integrating the function given as shown;

$\int\limits {S'(t)} \, dt = \int\limits ({-30t^{2}+420t }) \, dt \\S(t) = \frac{-30t^{3} }{3}+\frac{420t^{2} }{2}\\ S(t)= -10t^{3} +210t^{2} \\$

a) The total sales for the first week after the campaign ends (t = 0 to t = 7) is expressed as shown;

$Given\ S(t) = -10t^{3} + 210t^{2}$

$S(0) = -10(0)^{3} + 210(0)^{2}\\S(0) = 0\\S(7) = -10(7)^{3} + 210(7)^{2}\\S(7) = -3430+10,290\\S(7) = 6,860$

Total sales = S(7) - S(0)

= 6,860 - 0

Total sales for the first week = $6,860

b) The total sales for the secondweek after the campaign ends (t = 7 to t = 14) is expressed as shown;

Total sales for the second week = S(14)-S(7)

Given S(7) = 6,860

To get S(14);

$S(14) = -10(14)^{3} + 210(14)^{2}\\S(14) = -27,440+41,160\\S(14) = 13,720$

The total sales for the second week after campaign ends = 13,720 - 6,860

= $6,860

8 0

3 years ago

How I Devide in long Division all steps?

lara [203]

Long division is like a bus stop method if you know

so example the set out would be like this

6 0

3 years ago

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Ramon is graphing the function f(x) = 3(4)x. He begins by plotting the initial value. Which graph represents his initial step?

Montano1993 [528]

Answer:

The graph of his initial step in the attached figure

Step-by-step explanation:

we have

$f(x)=3(4)^{x}$

This is a exponential function of the form

$y=a(b)^{x}$

where

a is the initial value

b is the base

r is the rate of change

In this problem

a=3 ---> the initial value ( value of the function when the value of x is equal to zero)

b=4

b=1+r ----> 4=1+r ----> r=3 ---> r=300%

therefore

The initial value is the point (0,3)

The graph of his initial step in the attached figure

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3 years ago

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arsen [322]

Answer:

WHAT WAS THE ANSWER PLS

Step-by-step explanation:

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2 years ago