MATHEMATICS MIDDLE SCHOOL

A right cylinder has a diameter of 50 mm and a height of 40 mm as shown. What Is the volume of the cylinder.A: 6280mm

B: 78,500 mm

C: 314,000 mm

D: 25,000 mm

Answers

Answer 1
Answer: Volume = 150796.4 mm^3
Answer 2
Answer: Volume of a cylinder is r^2*pi*h

radius is half of the diameter

so: 25^2 * 3.14 * 40

625 * 3.14 * 40 = 78500

78500 mm

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What is the approximate circumference of a circle with a radius of 42.1 km? A. 5565.4 km
B. 1391.3 km
C. 264.4 km
D. 132.2 km

Answers

c.264.4 that should answer your question
Circumference of circle = 2*pi*r
                                     = 2*22/7*42.1
                                     = 264.4 km

Therefore, the circumference of the circle is 264.4 km

Choose the best description for the real number square root of 35

Answers

5.9160797831 is the square root of 35

Evaluate the expression ​

Answers

Answer:

47

Step-by-step explanation:

In the first step, inside the brackets I took the LCM and then in second step I subtracted 3 from 11 which gave result of8÷8=1 then 1 is multiplied to 2 which becomes 49-2 and 47 is the result

Team one had twice as many workers as team two. The number of workers in team one is reduced by 5 and the number of workers in team two is reduced by 2. How many workers are there in each team now if there are 7 more workers in team one?

Answers

The Team 1 now has  15 members and Team 2 now has 8 members.

We have given that team one had twice as many workers as team two.

Let us consider,x workers in team one initially

y workers in team two initially.

we know that

x=2y.... 1

Now next

(x-5)=(y-2)+7\n x-5= y+5\nx=y+10.........2

We have to solve this equation by using substitution method

What is the substitution method for linear equation?

The substitution method functions by substituting the one y-value with the other.

Use the value of 1 in equation 2 we get

2y=y+10\n 2y-y=10y=10x=2*10\n x=20

Therefore we have,

Team 1 now has 20-5 = 15 members

Team 2 now has 10-2 = 8 members

To learn more about the linear equation visit:

brainly.com/question/14323743

let

x-------> workers in team one initially

y-------> workers in team two initially

we know that

x=2y-----> equation 1

(x-5)=(y-2)+7-----> x-5= y+5----> x=y+10---------> equation 2

equate equation 1 and equation 2

2y=y+10-----> y=10

x=2*10------> x=20

Team 1 now has 20-5 = 15 members 
Team 2 now hase 10-2 = 8 members

Determine the slope of the graph of x^4=ln(xy) at the point (1,e)

Answers

Answer:

Answer is 3e.

Step-by-step explanation:

The slope is given by the derivative at the given point.

Differentiating:-

4x^3 = 1/xy *(x * dy/dx + y)

4x^3 = 1/y * dy/dx + 1/x

dy/dx = (4x^3 - 1/x) * y

At the point (1, e) x = 1 and y = e so substituting

slope at (1,e) = dy/dx =  (4(1)^3 - 1/1) * e

= 3e  (answer)
It is 3e. Differentiating x^4=ln(xy), we have to implicitly differentiate this.

4x^(3)= (1)/(xy) \cdot (d)/(dx)(xy)

The derivative of xy you have to use the chain rule.

(d)/(dx)(xy)=x \cdot (dy)/(dx)+y

So now it's

4x^(3)=(y+(dy)/(dx) \cdot x)/(xy)

Now we want the slope when x=1 and y=e

4(1)^(3)=(e+(dy)/(dx))/(e)

4=(e+(dy)/(dx))/(e)

4=1+(dy)/(dx) \cdot (1)/(e)

(dy)/(dx)=3e

maxwell wants a new phone for his 25th birthday. the one he wants cost $860 to purchaseand an additional 75 a month. his parents are willing to pay for half of the cost of the phone as a birthday gift present as long as maxwell pays the other half and the monthly charge . how much will maxwell spend after 5 month's ​

Answers

Answer:

805

Step-by-step explanation:

First we need to find half of 860

860÷2=430 because the parents are paying for tht

the other 430 he has to pay .

there is an additional charge of 75 dollars every month for 5 months .

75×5=375

now we need to add up his half 430 & the monthly fees for 5 months 375

430 +375=805
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