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Scorpion4ik [409]

3 years ago

14

There are 36 windows in the Folsom’ house. The number of window is 3 times as many as the number of closets and 4 more than the

number of doors inside the house. How many closets are in the house? Show your work.

2 answers:

Viefleur [7K]3 years ago

8 0

36x4=144
36x3=78
144-78=66

Ivanshal [37]3 years ago

8 0

108 divided by 4 equals 222

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Hey conic section has the equation X+Y^2+ 12X + 8y= 48 determine the following type of conic domain and range axis of symmetry a

Afina-wow [57]

Answer:

Axis of symmetry are lines x=-6 and y=-4, center (-6,-4)

Step-by-step explanation:

Consideer the equation $x^2+y^2+12x+8y=48.$

First, complete perfect squares:

$(x^2+12x)+(y^2+8y)=48,\\ \\(x^2+12x+36-36)+(y^2+8y+16-16)=48,\\ \\(x+6)^2+(y+4)^2-36-16=48,\\ \\(x+6)^2+(y+4)^2=100.$

This equation represents a circle with center at point (-6,-4) and radius r=10.

Axis of symmetry are lines x=-6 and y=-4 (vertical and horizontal lines passing through the center).

5 0

4 years ago

the price opf a 3 pack of Spinners is one third the price of a dozen Fly Boys what is the price of a dozen Fly Boys?

miss Akunina [59]

You have to be more specific (what is the cost?)

7 0

4 years ago

Delia went to a market to buy 4.5 pounds of sliced fruit in a container she paid with a $20 bill and a $5 bill and received $4.6

andreyandreev [35.5K]

20+5=25 then 25-4.67=20.33 so then you do 20.33/4.5=4.5 so the cost for one pound of fruit is $4.57. Hope this helps :)

4 0

4 years ago

An individual can win a prize by drawing the highest numbered card out of five cards. After each draw, the card is replaced and

Mashutka [201]

Answer:

$\frac{1}{25} =0.04$ (Unusual)

Step-by-step explanation:

1/5 for one drawing

1/5 chance to win once, if there is only one game.

Then multiply them together to get 1/25.

If you need in decimal form 1/25 = 0.04 (unusual)

8 0

3 years ago

Help finding derivative

marusya05 [52]

$\bf \displaystyle \cfrac{d}{dx}\left[ \int\limits_{\sqrt{x}}^{\frac{\pi }{2}}~[cos(t^2)]dt \right]\implies \cfrac{d}{dx}\left[ -\int\limits_{\frac{\pi }{2}}^{\sqrt{x}}~[cos(t^2)]dt \right]\\\\\\ \cfrac{d}{dx}\left[ -\int\limits_{\frac{\pi }{2}}^{x^{\frac{1}{2}}}~[cos(t^2)]dt \right]\\\\
-------------------------------\\\\
u=x^{\frac{1}{2}}\implies \cfrac{du}{dx}=\cfrac{1}{2\sqrt{x}}\\\\\\ \textit{and now, let's use the \underline{2nd fundamental theorem of calculus}}\\\\
-------------------------------\\\\$

$\bf \displaystyle \cfrac{d}{dx}\left[ -\int\limits_{\frac{\pi }{2}}^{u}~[cos(t^2)]dt \right]\impliedby \cfrac{df}{dx}=\cfrac{df}{du}\cdot \cfrac{du}{dx}
\\\\\\
\cfrac{df}{dx}=-cos(u^2)\cdot \cfrac{du}{dx}\implies \cfrac{df}{dx}=-cos(u^2)\cdot \cfrac{1}{2\sqrt{x}}
\\\\\\
\cfrac{df}{dx}=-cos[(\sqrt{x})^2]\cdot \cfrac{1}{2\sqrt{x}}\implies \cfrac{df}{dx}=-\cfrac{cos(x)}{2\sqrt{x}}$

6 0

3 years ago