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DaniilM [7]
2 years ago
9

Don'te is sitting on the bus on the way home from school and is thinking about the fact that he has three homework assignments t

o do tonight. The table below shows his estimated probabilities of completing 0, 1, 2, or all 3 of the assignments.

Mathematics
1 answer:
Darina [25.2K]2 years ago
6 0

Answer:

B

Step-by-step explanation:

Find the common denominator of all the fractions, add the converted fractions of 0, 2, and 3, then simplify

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Mika can eat 21 hot dogs in 66 minutes. She wants to know how many minutes it would take her to eat 35 hot dogs if she can keep
Ierofanga [76]

Answer:

110 minutes

Step-by-step explanation:

66÷21=3.14

35×3.14=110

6 0
2 years ago
If the area of the rectangle shown is 150 square feet, we can use the equation 2x2 - 5x = 150 to find its dimensions. If the sol
Serjik [45]
X=-150 or X=-146/5 I think.
7 0
3 years ago
Read 2 more answers
Finding Derivatives Implicity In Exercise,Find dy/dx implicity.<br> xey - 10x + 3y = 0
uranmaximum [27]

Answer:

\dfrac{dy}{dx}=\dfrac{10-e^y}{(xe^y+3)}

Step-by-step explanation:

Given:

The implicit equation is given as:

xe^y-10x+3y=0

In implicit differentiation, we treat 'y' as a function of 'x' and differentiate both sides of the equation with respect to 'x' and then collect all the \frac{dy}{dx} together and finally solve for \frac{dy}{dx}.

So, differentiating both sides of the above equation with respect to 'x'. This gives,

\frac{d}{dx}(xe^y-10x+3y)=\frac{d}{dx}(0)\\\\\frac{d}{dx}(xe^y)+\frac{d}{dx}(-10x)+\frac{d}{dx}(3y)=0\\\\\textrm{Using product rule, (uv)' = uv' + vu'}\\\\(x\cdot e^y\cdot \frac{dy}{dx}+e^y\cdot 1)-10\cdot1+3\frac{dy}{dx}=0\\\\\frac{dy}{dx}(xe^y)+e^y-10+\frac{dy}{dx}(3)=0\\\\\textrm{Grouping}\ \frac{dy}{dx}\textrm{ terms together}\\\\\frac{dy}{dx}(xe^y+3)+e^y-10=0\\\\\frac{dy}{dx}(xe^y+3)=10-e^y\\\\\dfrac{dy}{dx}=\dfrac{10-e^y}{(xe^y+3)}

Therefore, the derivative \frac{dy}{dx} implicitly is:

\dfrac{dy}{dx}=\dfrac{10-e^y}{(xe^y+3)}

5 0
3 years ago
What is the next cube number after 1
svet-max [94.6K]
<span><span>Number          Cube
</span><span>1                 =1 × 1 × 1
</span><span>2                 8<span>=2 × 2 × 2</span></span></span>
3 0
3 years ago
Find the missing side length. Round to the nearest tenth.<br>15 cm<br>9 cm​
vazorg [7]
Using Pythagorean’s theorem
a^2 +b^2= c^2
We know
c=15
b=9
a=?
Sub that in the Pythagorean’s theorem
a^2+9^2 = 15^2
a^2 + 81 = 225
a^2= 225-81
a^2 = 144
a= square root of 144
a= 12

Therefore the answer is 12
5 0
3 years ago
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