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IrinaK [193]
2 years ago
12

the students at lincoln middle school are being split into 5 equal teams for dodgeball. each team has 20 people on it. how many

total students are there?
Mathematics
1 answer:
Angelina_Jolie [31]2 years ago
3 0

Answer:

100

Step-by-step explanation:

5 x 20 is equal too one hundred

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How do you know if vertices make a right triangle?
goldfiish [28.3K]

Answer:

Step-by-step explanation:

If the angle is 90 degrees then it is automatically a right triangle anything above or below that is either acute or obtuse angles

8 0
3 years ago
Find the solution of y = 5x – 4 for x = –6.
spayn [35]
The answer is (-6,-34)
Because since x = -6 u substituted so the equation will be y= 5(-6)-4 so y=-34 making the answer (-6,-34)
4 0
3 years ago
The surface area, S, of a sphere of radius r feet is S = S(r) = 4πr^2. Find the instantaneous rate of change of the surface area
8090 [49]
Instantaneous rate of change = S'(r) = 8πr
S'(8) = 8π(8) = 64π

Therefore, the instantaneoud rate of change of the <span>surface area with respect to the radius r at r = 8</span>  is 64π
7 0
3 years ago
The radius of a circle is 4 feet. What is the circle's area? Use 3.14 for ​.
Serga [27]

Answer:

Approximately 50 square feet (50.24 to be exact)

Step-by-step explanation:

If you're using 3.14 for π, and the area of a circle is A=πr2,

(3.14)(4)^2 =?

(3.14)(16) = 50.24

Therefore the answer would be about 50 square feet.  

3 0
3 years ago
Read 2 more answers
Find the derivative of the function f(x) = (x3 - 2x + 1)(x – 3) using the product rule.
julsineya [31]

Answer:

Step-by-step explanation:

Hello, first, let's use the product rule.

Derivative of uv is u'v + u v', so it gives:

f(x)=(x^3-2x+1)(x-3)=u(x) \cdot v(x)\\\\f'(x)=u'(x)v(x)+u(x)v'(x)\\\\ \text{ **** } u(x)=x^3-2x+1 \ \ \ so \ \ \ u'(x)=3x^2-2\\\\\text{ **** } v(x)=x-3 \ \ \ so \ \ \ v'(x)=1\\\\f'(x)=(3x^2-2)(x-3)+(x^3-2x+1)(1)\\\\f'(x)=3x^3-9x^2-2x+6 + x^3-2x+1\\\\\boxed{f'(x)=4x^3-9x^2-4x+7}

Now, we distribute the expression of f(x) and find the derivative afterwards.

f(x)=(x^3-2x+1)(x-3)\\\\=x^4-2x^2+x-3x^3+6x-4\\\\=x^4-3x^3-2x^2+7x-4 \ \ \ so\\ \\\boxed{f'(x)=4x^3-9x^2-4x+7}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

6 0
3 years ago
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