answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
TEA [102]
2 years ago
8

Ten turns of a wire are helically wrapped around a cylindrical tube with outside circumference 4 inches and length 9 inches. The

ends of the wire coincide with ends of the same cylindrical element. Find the length of the wire. (a) 41 inches (b)36 inches (c) 40 inches (d) 90 inches
Mathematics
1 answer:
kari74 [83]2 years ago
8 0

Answer:

b) 36 inches

Step-by-step explanation:

Length  of the  wire = Outside circumference of the cylindrical tube * length of the cylinder

= 4 * 9

= 36 inches

Length of the wire will be same to the surface area of the cylinder

Surface area of cylinder = circumference * length

You might be interested in
Two similar bottles are shown. the smaller bottle can hold 500ml. how much can the larger bottle hold. the smaller bottle is 15
tankabanditka [31]

Answer:

If we assume that the bottle is cylindrical and we take the same radius (3.26) of both the bottles (bottles only differ in heights) then the larger bottle will hold approximately 701.14 ml of fluid (the answer says 700ml which is very close)

Step-by-step explanation:

Step 1: Formula of volume of a cylinder is pi*r^2*h

where value of pi is 3.14

r is the radius

h is the height of the bottle (height is different for both bottles)

After putting the values and estimated radius for both as 3.26, we get the volume of the taller bottle.

You can extract the radius by following this method:

Volume of a cylinder = pi*r^2*h (now put the value of the known volume and height of the smaller cylinder)

500 = 3.14 * (r)^2 *15

500/(3.14*15) = r^2

10.616 = r^2

Taking sqrt. on both sides

We get r = 3.26

Now put the same value in the formula of volume with the radius and height. You will get the answer for second bottle.

V= 3.14 * (3.26)^2 *21

V= 701.14 (approx)

5 0
2 years ago
Read 2 more answers
Andrew is buying pencils, and he wants to buy fewer than 25. He plans to give 75% of the pencils to his students and save three
sweet-ann [11.9K]

Answer:

50%

Step-by-step explanation:

the will have 75minis 25

4 0
2 years ago
Read 2 more answers
Find the general form of the function that satisfies da/dt = -9a
posledela
The given equation is
\frac{da}{dt} =-9a

This ODE (Ordinary Differential Equation) is separable.
That is,
\frac{da}{a} = -9

Integrate to obtain
\int  \frac{da}{a} =-9 \int dt \\\\ ln(a) = -9t + k \\\\ a(t) = c \, e^{-9t}
where k, c are constants.

Answer:  a(t) = c \, e^{-9t}, c = constant.

4 0
2 years ago
Read 2 more answers
An annexation suit against a county subdivision of 1200 residences is being considered by a neighboring city. If the occupants o
Sunny_sXe [5.5K]

Answer:

Probability that in a random sample of 10 at least 3 favor the annexation suit is 0.9453.

Step-by-step explanation:

We are given that an annexation suit against a county subdivision of 1200 residences is being considered by a neighboring city. The occupants of half the residences object to being annexed.

Also, a random sample of 10 residents is taken.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 10 residents

            r = number of success = at least 3

           p = probability of success which in our question is probability that

                 residents favor the annexation suit, which is calculated as below;

p = \frac{\text{Number of residents favoring the annexation suit }}{\text{Total number of residents considered } } = \frac{600}{1200} = 0.50

<em>LET X = Number of residents favoring the annexation suit</em>

So, it means X ~ Binom(n=10, p=0.50)

Now, Probability that in a random sample of 10 at least 3 favor the annexation suit is given by = P(X \geq 3)

 P(X \geq 3)  = 1 - P(X < 3) = 1 - P(X \leq 2)

               = 1 - [P(X = 0) + P(X = 1) + P(X = 2)]

= 1- [\binom{10}{0}\times 0.50^{0} \times (1-0.50)^{10-0} + \binom{10}{1}\times 0.50^{1} \times (1-0.50)^{10-1} +\binom{10}{2}\times 0.50^{2} \times (1-0.50)^{10-2}]

= 1-[ 1 \times 1  \times 0.50^{10}+10 \times 0.50^{1}  \times 0.50^{9}+45 \times 0.50^{2}  \times 0.50^{8}]

= 1-[ 0.50^{10}+10 \times 0.50^{10}+45 \times  0.50^{10}]

= 1-0.50^{10}[ 1+10 +45 ] = 1-0.50^{10} \times 56

                                      = 0.9453

Therefore, Probability that in a random sample of 10 at least 3 favor the annexation suit is 0.9453.

8 0
2 years ago
Andrea is shopping for items for her pet sitting business because the store is having a sale where everything in the store is 5%
mars1129 [50]

Answer:

i promise it's A i am 1,00000000000000000000000000000000000000 sure

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Other questions:
  • What percent of 55 is 34
    12·1 answer
  • On his first day of school, Kareem found the high temperature in degrees Fahrenheit to be 76.1°. He plans to use the function to
    8·2 answers
  • The system shown is _____.<br><br> equivalent<br><br> independent<br><br> inconsistent
    9·2 answers
  • 64-144a+108a^2-27a^3​
    5·1 answer
  • An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. In an earlier s
    10·1 answer
  • 1. Find an odd natural number x such that LCM (x, 40)= 1400
    13·1 answer
  • X=a-2by(2) make y the subject
    11·1 answer
  • Mrs. Ham is planning a party for students who have met their goal of reading seven books during the most recent eight weeks of v
    12·1 answer
  • A printer prints an average of 200 1/2 pages per hour approximately how many pages did it print in an 8 hour period
    15·1 answer
  • Suppose we want to choose 5 objects, without replacement, from 13 distinct objects. (a) How many ways can this be done, if the o
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!