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4 years ago

10

Subtract -20 from 24

1 answer:

mafiozo [28]4 years ago

6 0

24-(-20)=44
Two negatives make a positive

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Factor:<br> 16g^2-26gh-35h^2

Sever21 [200]

Answer:

The factored form would be (8g + 7h)(2g - 5h)

Step-by-step explanation:

In order to find this, we need to use factors of 16g^2 in the front of the parenthesis. We also need to use factors of -35h^2 in the second side. Now we try these in the parenthesis and FOIL until we get an appropriate middle term.

6 0

3 years ago

Use the inequalities to describe the shaded area on the grid

raketka [301]

The shaded area would be 2 because there is a whole square shaded in the the other two are 1/2 so if you add 1/2 together with another 1/2 plus the whole shaded square you would get two.

At least that’s what I understood from the question

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3 years ago

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The current Powerball jackpot is estimated to be $193 million. The Powerball lottery is decided every Wednesday and Saturday nig

mars1129 [50]

Answer:

"2.660503478" would be the right answers to the key statement.

Step-by-step explanation:

Drawing 5 balls out of 69 can be done in ( $\frac{69}{5}$ )

= $\frac{69\times 68\times 67\times 66\times 65}{5!}$

Drawing 1 ball out of 26 red balls can be done in ( $\frac{26}{1}$ )

= $26$

Then the chance of drawing 5 out of 69 balls including 1 out of 26 red balls and then both matching the jackpot

= $\frac{1}{11238513\times 26}$

= $\frac{1}{292201338}$

Since the sum of the jackpot is $193-106 and then one ticket costs $2, the estimated value of buying one ticket again for jackpot is $2.

= $\frac{1}{292201338}\times 193\times 10^6+\frac{292201338-1}{292201338}\times 2$

= $2.660503478$

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3 years ago

A manufacturer wants to make open tin boxes from pieces of tin with dimensions 8 in. by 15 in. by cutting equal squares from the

Stells [14]

Answer:

$\frac{5}{3}$ in

Step-by-step explanation:

Let x be the side of square.

Length of box=8-2x

Width of box=15-2x

Height of box=x

Volume of box= $L\times B\times H$

Substitute the values then we get

Volume of box=V(x)= $(8-2x)(15-2x)x=(15x-2x^2)(8-2x)$

$V(x)=120x-30x^2-16x^2+4x^3$

$V(x)=4x^3-46x^2+120x$

Differentiate w.r.t x

$V'(x)=12x^2-92x+120$

$V'(x)=0$

$12x^2-92x+120=0$

$3x^2-23x+30=0$

$3x^2-18x-5x+30=0$

$3x(x-6)-5(x-6)=0$

$(x-6)(3x-5)=0$

$x-6=0\implies x=6$

$3x-5=0\implies x=\frac{5}{3}$

Again differentiate w.r.t x

$V''(x)=24x-92$

Substitute x=6

$V''(6)=24(6)-92=52>0$

Substitute x=5/3

$V''(5/3)=24(5/3)-92=-52$

Hence, the volume is maximum at x= $\frac{5}{3}$

Therefore, the side of the square , $x=\frac{5}{3}$ in cutout that gives the box the largest possible volume.

5 0

3 years ago

4.69 divided by 3.5 please help

PilotLPTM [1.2K]

Answer:

1.34

Step-by-step explanation:

Used a Calculator

5 0

3 years ago

Read 2 more answers