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2 years ago

HELP SOS IMMEDIATELY THANK YOUUUUU!!!!

Mathematics

1 answer:

e-lub [12.9K]2 years ago

4 0

Answer: b) 18.37

<u>Step-by-step explanation:</u>

Since the intial t-value is 1960 and the final t-value is 1990, then t = 30

$P(30)=\dfrac{100}{1+400\cdot e^{-0.15(30)}}\\\\\\.\quad =\dfrac{100}{1+400\cdot e^{-4.5}}\\\\\\.\quad =\dfrac{100}{1+400(0.0111)}}\\\\\\.\quad =\dfrac{100}{1+4.4436}}\\\\\\.\quad =\dfrac{100}{5.4436}}\\\\\\.\quad =\boxed{18.37}$

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Find the surface area of the prism below. Please see the attachment and a. 108cm ^2 is incorrect. Thanks!

creativ13 [48]

Answer: OPTION B

Step-by-step explanation:

To solve this problem you must add the areas of each rectangle that form the prism;

The area of a rectangle can be calculated with the formula:

$SA=length*width$

There are three pairs of equal rectangles, then you can find the surface area of 3 rectangles and multiply each one by 2, then you obtain that the surface area of the prism is:

$SA_{prism}=2(6cm*2cm)+2(3cm*6cm)+2(3cm*2cm)=72cm^{2}$

5 0

2 years ago

How do we get to the vertex if this is the function: n(x)= |-1/3x + 1| =2 ??

vagabundo [1.1K]

Answer:

ANSWER IS BELOW

Step-by-step explanation:

Find the properties of the given parabola.

Tap for more steps...

Direction: Opens Up

Vertex:

(

)

(0,0)

Focus:

(

)

(0,34)

Axis of Symmetry:

x=0

Directrix:

−

y=-34

Select a few

values, and plug them into the equation to find the corresponding

values. The

values should be selected around the vertex.

Tap for more steps...

−

xy-243-1130011333

Graph the parabola using its properties and the selected points.

Direction: Opens Up

Vertex:

(

)

(0,0)

Focus:

(

)

(0,34)

Axis of Symmetry:

x=0

Directrix:

−

y=-34

−

xy-243-1130011333

3 0

2 years ago

A rectangular storage container with an open top is to have a volume of 24 cubic meters. The length of its base is twice the wid

Mariana [72]

Answer:

419.25

Step-by-step explanation:

The calculation of the cost of materials for the cheapest such container is shown below:-

We assume

Width = x

Length = 2x

Height = h

where, length = $2 \times width$

Base area = lb

= $2x^2$

Side area = 2lh + 2bh

= 2(2x)h + 2(x)h

= 4xh + 2xh

Volume = 24 which is lbh = 24

$h = \frac{24}{2x^2} \\\\ h = \frac{12}{x^2}$

Now, cost is

$= 13(2x^2) + 9(4xh + 2xh)\\\\ = 13(2x^2) + 9(4x + 2x)\times \frac{12}{x^2} \\\\ = 26x^2 + \frac{648}{x}$

now we have to minimize C(x)

So, we need to compute the C'(x)

$= 52x - \frac{648}{x^2}$

C"(x) $= 52x - \frac{1,296}{x^3}$

now for the critical points, we will solve the equation C'(x) = 0

$= 52x - \frac{648}{x^2} = 0\\\\ x = \frac{648}{52}^{\frac{1}{3}}$

$C" = ((\frac{648}{52} ^{\frac{1}{3} } = 52 + \frac{1296}{(\frac{648}{52})^\frac{1}{3} )^3}\\\\ = 52 + \frac{1296}{\frac{648}{52} } >0$

So, x is a point of minima that is

= $(\frac{648}{52} )^\frac{1}{3}$

Now, Base material cost is

$= 13(2x^2)\\\\ = 26(\frac{648}{52} )^\frac{2}{3}$

= 139.75

Side material cost is

$= \frac{648}{x} \\\\ = \frac{648}{(\frac{648}{52})^\frac{1}{3} }$

= 279.50

and finally

Total cost is

= 139.75 + 279.50

= 419.25

4 0

2 years ago

-7y^6 x 3y^2 multiply

jeka94

Answer:

i think that answer is -21y^8

4 0

2 years ago

Read 2 more answers

need help. solve for y. try factoring first if not possible or difficult use quadratic formula. y²-6y+6=0

lbvjy [14]

$y^2-6y+6=0\\ \\a=1 , \ b=-6, \ c=6 \\ \\\Delta =b^2-4ac = (-6)^2 -4\cdot1\cdot6 = 36-24=12\\ \\\sqrt{\Delta }= \sqrt{12}=\sqrt{4\cdot 3}=2\sqrt{3} \\ \\x_{1}=\frac{-b-\sqrt{\Delta} }{2a}=\frac{6-2\sqrt{3}}{2 }=\frac{2( 3- \sqrt{3})}{2}= 3- \sqrt{3}$

$x_{2}=\frac{-b+\sqrt{\Delta} }{2a}=\frac{6+2\sqrt{3}}{2 }=\frac{2( 3+ \sqrt{3})}{2}= 3+ \sqrt{3}$

3 0

2 years ago

Read 2 more answers