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2 years ago

8

Mary rounds these numbers to the nearest hundred. Which number does she round to 400? Choose all that apply. A) 351. B) 369 C).

401. D) 413. E) 448

1 answer:

natulia [17]2 years ago

7 0

Answer:

401

Step-by-step explanation:

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Solve for x................

alexandr402 [8]

Answer:

Option C

$x={1(+/-)2\sqrt{3}}$

Step-by-step explanation:

we have

$x^{2}-2x-11=0$

we know that

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2}-2x-11=0$

so

$a=1\\b=-2\\c=-11$

substitute

$x=\frac{-(-2)(+/-)\sqrt{-2^{2}-4(1)(-11)}} {2(1)}$

$x=\frac{2(+/-)\sqrt{4+44}} {2}$

$x=\frac{2(+/-)\sqrt{48}} {2}$

$x=\frac{2(+/-)4\sqrt{3}} {2}$

$x={1(+/-)2\sqrt{3}}$

8 0

3 years ago

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3. Choose the best statistical question about lizards. O How many lizards do you have in your backyard? О What are the lengths o

ASHA 777 [7]

Answer: what are lengths of lizard

Step-by-step explanation: you can calculate average length of lizard

And also standard deviation and determine median too

4 0

3 years ago

A box of volume 180 m3 with square bottom and no top is constructed out of two different materials. The cost of the bottom is $4

zysi [14]

Answer:

Side of square bottom=6.46 m

Height of box=4.31 m

Step-by-step explanation:

Let s be the side bottom

Height of box=h

Volume of box= $180m^3$

Volume of box= $lbh=s^2h$

$s^2h=180$

$h=\frac{180}{s^2}$

Cost of bottom=$40 per square m

Cost of sides =$30 per square m

Total cost= $C=40s^2+30(4sh)$

$C=40s^2+120s\times \frac{180}{s^2}$

$C(s)=40s^2+\frac{21600}{s}$

Differentiate w.r.t s

$C'(s)=80s-\frac{21600}{s^2}$

$C'(s)=0$

$80s-\frac{21600}{s^2}=0$

$80s=\frac{21600}{s^2}$

$s^3=\frac{21600}{80}=270$

$s=(270)^{\frac{1}{3}}=6.46$

Again,differentiate w.r.t s

$C''(s)=80+\frac{43200}{s^3}$

Substitute s=6.46

$C''(6.46)=80+\frac{43200}{(6.46)^3}=240.2>0$

Hence, the cost is minimum at s=6.46

$h=\frac{180}{s^2}=\frac{180}{(6.46)^2}=4.31$

Side of square bottom=6.46 m

Height of box=4.31 m

5 0

3 years ago

What is 0.2(5x – 0.3) – 0.5(–1.1x + 4.2) simplified?

ANEK [815]

Answer:

1.55 x − 2.16

Step-by-step explanation:

5 0

3 years ago

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Point t bisects uv. find uv if ut = 4 1/2 yards

Fantom [35]

If a point bisects a segment, each line is congruent. So if UT is 4.5 yards TU would be 4.5 yards as well. UV is 9 yards

7 0

3 years ago

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