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Leya [2.2K]
3 years ago
10

Help pls I will give 37 points if helped

Mathematics
2 answers:
andrew-mc [135]3 years ago
6 0
What does it say I can’t see
kvv77 [185]3 years ago
4 0

Answer:

20

Step-by-step explanation:

find the upper quartile(44), and the lower quartile(24) and subtract them to get the IQR

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A trough is 8 feet long and has perpendicular cross section in the shape of an isosceles triangle (point down) with base 1 foot
murzikaleks [220]

Answer:

Dh/dt  = 0.082 ft/min

Step-by-step explanation:

As a perpendicular cross section of the trough is in the shape of an isosceles triangle the trough has a circular cone shape wit base of  1 feet and height     h = 2 feet.

The volume of a circular cone is:

V(c)  = 1/3 * π*r²*h

Then differentiating on both sides of the equation we get:

DV(c)/dt   = 1/3* π*r² * Dh/dt   (1)

We know that DV(c) / dt   is  1 ft³ / 5 min      or     1/5  ft³/min

and  we are were asked how fast is the water rising when the water is 1/2 foot deep. We need to know what is the value of r at that moment

By proportion we know

r/h  ( at the top of the cone  0,5/ 2)   is equal to  r/0.5  when water is 1/2 foot deep

Then      r/h   =   0,5/2   =  r/0.5

r  =  (0,5)*( 0.5) / 2        ⇒   r  =  0,125 ft

Then in equation (1) we got

(1/5) / 1/3* π*r² =  Dh/dt

Dh/dt  = 1/ 5*0.01635

Dh/dt  = 0.082 ft/min

4 0
3 years ago
The next model of sports cars will cost 6.3% less than the current model. The current model costs 55,000. How much will the pric
makvit [3.9K]

Answer:

The price will decrease $3,465

Step-by-step explanation:

55,000 x 0.937 = 51,535

51,535 - 55,000 = -3,465

5 0
2 years ago
<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%5Csqrt%7Bx%7D%20" id="TexFormula1" title="f(x) = \sqrt{x} " alt="f(x) =
Georgia [21]

Answer:    \dfrac{1}{2\sqrt x}

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

\lim_{h \to 0} f(x)=\dfrac{f(x+h)-f(x)}{h}

f(x) = \sqrt x\\

f(x+h) = \sqrt{x+h}

\lim_{h \to 0} f(x)=\dfrac{\sqrt{x+h}-\sqrt x}{h}

                   =\dfrac{\sqrt{x+h}-\sqrt x}{h}\bigg(\dfrac{\sqrt{x+h}+\sqrt x}{\sqrt{x+h}+\sqrt x}\bigg)

                   =\dfrac{(x + h)-(x)}{h(\sqrt{x+h}+\sqrt x)}

                   =\dfrac{h}{h(\sqrt{x+h}+\sqrt x)}

                   =\dfrac{1}{\sqrt{x+h}+\sqrt x}

                  =\dfrac{1}{\sqrt{x+0}+\sqrt x}

                  =\dfrac{1}{2\sqrt x}

4 0
3 years ago
PLS HURRY
Rus_ich [418]

Answer:

x+y=-1

Step-by-step explanation:

6 0
2 years ago
1) Determine the value written as a fraction , decimal &amp; a percent. fraction decimal percent​
Scilla [17]

Answer:

what value??????

6 0
2 years ago
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