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3 years ago

Can someone help with this problem please? Thanks.

Mathematics

1 answer:

Zarrin [17]3 years ago

6 0

First, find the slope of the line. Use the two points given, (-4,0) and (4,2), in the slope formula rise over run. The change in rise is 2 and the change in run is 8, meaning that the slope is 2/8, simplified to 1/4. The y-intercept is 1, shown by the graph and the dashed line and shaded area means that the inequality symbol must be <. Slope-intercept form is shown as y = mx + b, so after putting our information in to the equation the answer is y < 1/4x + 1. Hope this helps!

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PLEASE HELP THANKS SO MUCH!

Zolol [24]

Surface area = sum of 2 triangles + sum of the 3 rectangles

= 2 * 84 + 18*24 + 18*25 + 18*7 = 1176 ft^2

volume = 1/2*7 *24 * 18 = 1512 ft^3
surface area to volume = 1176:1512 = 0.78 which is less than 1.
so the company wil manufacture it.

5 0

3 years ago

Use the method in the Example to find the square roots of 1 + √3i

kiruha [24]

Answer:

$\sqrt{1 + \sqrt{3} i}=\pm (1.58+i 0.548)$

Step-by-step explanation:

Given

z = 1 + √3 i

Let $\sqrt{1+\sqrt(3) i}=p+iq$

Squaring both sides

$1+\sqrt(3) i=p^2-q^2+2ipq$

Comparing real and imaginary part

Re(LHS)=Re(RHS)

$1=p^2-q^2$ ...........................(1)

comparing Im(LHS)=Im(RHS)

√3=2pq

$q=\frac{\sqrt{3}}{2p}$

Substitute q in equation (1)

$1=p^2-(\frac{\sqrt{3}}{2p})^2$

$p^4-p^2-0.75=0$

Let $x=p^2$

$x^2-x-0.75=0$

$x=\dfrac{1\pm \sqrt{1^2+4\times 0.75}}{2}$

$x=\frac{1\pm 4}{2}$

we take only Positive value because $p^2=x$

x=2.5

$p^2=2.5$

thus $p=\pm 1.58$

$q=\pm 0.548$

thus,

$\sqrt{1 + \sqrt{3} i}=\pm (1.58+i 0.548)$

5 0

3 years ago

Find the magnitude and direction of the vector WZ: W(15, 25) and Z(10,-6).

strojnjashka [21]

Answer:

Step-by-step explanation:.

7 0

2 years ago

Ed decided to build a storage box. At first, he was planning to build a cubical box with edges of length n inches. To increase t

Mandarinka [93]

Answer:

The new volume is 3n^2+2n inches greater.

Step-by-step explanation:

Volume of a cube = s^3 where s is side of cube

Original volume = n^3

Volume of a Rectangular Prism = LBH

New Volume = (n+1)(n+2)(n)= n^3+3n^2+2n

DIfference = New- original = 3n^2+2n

4 0

3 years ago

CAN SOMEONE HELP ME !!!!!!!!!

MissTica

Answer:

She will get 80mg of dextromethorphan and 800mg of guaifenesin. And the bottle last for 6 days approximately.

Step-by-step explanation:

Given that the Robitussin DM contains dextromethorphan 10mg/5mL and gualfenesin 100mg/5mL. And we are also given that Mrs Smith took four doses and each dose is 2 teaspoons=2X5=10mL.

So, four doses=4X10=40mL.

So, dextromethorphan in 4 doses is = $\frac{10}{5}X40=80mg$

And Guaifenesin in 4 doses is = $\frac{100}{5}X40=800mg$

Dosage of medicine daily she has to take=40mL and the bottle contains 237 mL. Hence the number of days bottle last = $\frac{237}{40}=5.925$ ≈6 days approximately.

7 0

3 years ago