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Answer:

1. Volume of cone =  

where h is the height of the cone and r is the radius.

2. The bottom section is a cone with radius 6/2 = 3 (cm) and height= 8 cm

so the volume =  ()

3. The volume of the top section is the volume of the cone - volume of bottom cone, which we already found.

V(cone)=

V(top section)=192-24=168

Step-by-step explanation:

Acceleration is the rate of change of velocity over time

The sled travels 100 meters in the first 10 seconds of its motion

The acceleration function is given as:

[tex]a = \frac 1{500}(20t^2 - t^3)[/tex]

When t = 10, we have:

[tex]a = \frac 1{500}(20*10^2 - 10^3)[/tex]

[tex]a = 2[/tex]

The distance at 10 seconds is then calculated as;

[tex]S = ut +\frac 12 at^2[/tex]

Where:

u = initial velocity = 0

So, we have:

[tex]S = 0 *10 +\frac 12 * 2 * 10^2[/tex]

[tex]S =100[/tex]

Hence, the sled travels 100 meters in the first 10 seconds of its motion

Read more about acceleration at:

https://brainly.com/question/605631

Answer:

How many general admission tickets were​ purchased? __136__

How many upper reserved tickets we purchased? _300_

Step-by-step explanation:

Let the number of general tickets = g.

Let the number of reserved tickets = r.

6.5g + 8r = 3284

g + r = 436

     6.5g + 8r = 3284

(+)   -8g + -8r = -3488

--------------------------------

     -1.5g         = -204

g = 136

g + r = 436

136 + r = 436

r = 300

Answer:

How many general admission tickets were​ purchased? __136__

How many upper reserved tickets we purchased? _300_

Answer:

136 general admission tickets were purchased

300 upper reserved tickets were purchased

Step-by-step explanation:

This is a classic system of equations problem. Let the number of general admission tickets sold be [tex]g[/tex] and the number of reserved tickets sold be [tex]r[/tex]. We can write the following system of equations:

[tex]\begin{cases}6.50g+8.00r=3284,\\g+r=436\end{cases}[/tex]

Multiply the second equation by -8 and add both equations to isolate [tex]g[/tex]:

[tex]-8(g+r)=-8(436),\\-8g-8r=-3488,\\\begin{cases}6.50g+8.00r=3284,\\-8g-8r=-3488\end{cases},\\-1.5g=-204,\\g=\frac{-204}{-1.5}=\boxed{136}[/tex]

Now substitute [tex]g=136[/tex] into [tex]g+r=436[/tex] to find the number of reserved tickets sold:

[tex]g+r=436,\\136+r=436,\\r=436-136=\boxed{300}[/tex]

f is an even function if f(-x) = f(x)

f is an odd function, if f(-x) = -f(x)

[tex] \csc( \frac{ - 3\pi \: x}{2} ) = - \csc( \frac{3\pi x}{2} ) [/tex]

Option B is an odd function

Answer:

B.

Step-by-step explanation:

Remember that graphically, a function and its inverse are reflections over the line y = x.

Given the graph of f, we see that h is not a reflection over the line y = x. So, we can eliminate choices A and C.

Function g is indeed a reflection of y over the line y = x. A function and its inverse is not its reflection over the x-axis so D is incorrect.

Hence, our answer is B.

Answer:

The answer is B. " the function g because the graphs of ƒ and g are symmetrical about the line y = x"

Answer:

306+7÷100=306.07 that is the answer

Answer:

2., 3., 5.

Step-by-step explanation:

when we do the multiplications we see

2×3x/4 + 2×7 - 3×1x/2 + 3×5 = 3x/2 + 14 - 3x/2 + 15 = 29

as 3x/2 and -3x/2 reduce themselves in a sum to 0.

this gives answer option 2.

the other correct answer options are just splitting the addition part in a multiplication into their 2 "sub-multiplications" and adding these results.

the only correct ones (correctly maintaining our converting the signs) are 3 and 5.

option 4 suddenly converts the -3 factor into +3 without any other compensation. so, that is wrong.

and option 1 made again a sign mistake with -3×-5, which is correctly +15 and not -15.

Answer:

steam iron = 41.25

t-shirts = 17.82

paintbrushes = 13.94

bags of pasta = 3.52

total = 76.53

Answer:

1. 17.82 2. 13.94 3. 3.52 4. 35.28

Step-by-step explanation:

Hope thishelps :)

Answer:

m∠ABC = 53°

Step-by-step explanation:

m∠ABC + m∠CBD = m∠ABD

m∠ABC + 37° = 90°

m∠ABC = 53°

Answer:

53º

Step-by-step explanation:

abc = 90 - 37

abc = 53º

Answer:

36÷12=3

12×3=36

Length is 12

Width is 3

Answer:

good for them i think

Step-by-step explanation:

this doesnt make any sense

Answer:

substitute means to use or add in place of something.

Step-by-step explanation:

Example: Substitute 1 for x: therefore x now is equal to 1.

Answer:

sorry the diagram is not clear......

Answer:

108

Step-by-step explanation:

200 divided by 60 equals 3 then 36 times 3 equals 108

Answer:

120 heads

Step-by-step explanation:

The Experimental probability for heads is 36/60. now we have to find the experimental probability for 200 flips. so 36/60 = ?/200. We have to find a number that 60 multiplies by to get 200. That number is 200/60 = 20/6 = 3 1/3. So multiply 36 by 3 1/3: 36 * 3 = 108. 36 * 1/3 = 12. 108 + 12 = 120. So it is 120 heads

9514 1404 393

Answer:

Step-by-step explanation:

Let j represent the number of ounces of 100% juice in the mix. Then (51-j) is the number of ounces of 10% juice. The total amount of fruit juice in the punch mix is ...

  1.00j + 0.10(51 -j) = 0.70(51)

  0.90j = 51(0.70 -0.10) . . . . . . . . collect j terms, subtract 0.10(51)

  j = 51(0.60/0.90) = 51(2/3) = 34 . . . . . . . divide by the coefficient of j

The mixture should use 34 ounces of 100% juice and 17 ounces of 10% juice.

Answer:

∠ABC = 46°

Step-by-step explanation:

DB and BC are of same length (radius), making it an isosceles triangle.

The base of the triangle is the same at 23°, a total of 46°.

180° - 46° = 134°

But we need ∠ABC, and since points DBA lie on the circumference, it's a straight line.

Therefore, 180° - 134° = 46°

9514 1404 393

Answer:

  (b)  $1,393.88

Step-by-step explanation:

For each overtime hour, Michelle is paid for 1.5 hours. That is we can figure her pay as though she worked straight time for ...

  47.75 hours + (7.75 hours)/2 = 51.625 hours

That pay is ...

  (51.625 h)($27/h) = $1393.88

Answer:

Ŷ = 1.3082X + 3.3436

Step-by-step explanation:

Given the data :

X : 11, 12, 4, 6, 13, 14, 8, 10, 7, 5, 9

Y : 18.69, 19.17, 6.13, 11.37, 19.31, 19.31, 15.28, 17.88, 13.49, 8.91, 16.75

Using technology, the data above gave the resulting linear regression model :

Ŷ = 1.3082X + 3.3436

Slope of model = 1.3082

Intercept = 3.3436

Scatter plot is attached below :

Answer:

C

Step-by-step explanation:

You can determine this by the third and fourth quartiles.

Answer:

C

Step-by-step explanation:

1,4,4,9,10,10,14

We know the smallest number is 1 and the largest number is 14, so they are left and right whiskers

1,4,4, 9, 10,10,14

The middle number is the 4th number, which is 9 so it is the middle number of the box

Taking the numbers on the left

1,4,4

The middle number is 4  so it is the left hand side of the box

Taking the numbers on the right

10,10,14

10 is the middle number so it is the right hand side of the box

Answer:

B.

Step-by-step explanation:

The main reason for this is to research unfamiliar industries that might reveal good investment opportunities. When you conform to what you know, you fall into a comfort zone. This prevents you from taking the time to investigate and learn new things. In this scenario, investing everything in familiar stocks will prevent you from looking for new investment options in different industries which could have led to incredible investment opportunities. Therefore, it is a better choice to invest a large portion in safer familiar stocks but leave a certain percentage for riskier and newer investments.

Answer:

Why should you avoid investing all your money in familiar stocks?

A.

to increase the value of your returns

B.

to research unfamiliar industries that might reveal good investment opportunities

C.

to avoid selling at a loss

D.

to avoid diversifying into multiple investment options

Step-by-step explanation:

Answer:

I) 0.386 = 38.6% probability that exactly one six occurs.

II) 0.518 = 51.8% probability that at least one six occurs.

Step-by-step explanation:

For each throw, there are only two possible outcomes. Either it is a six, or it is not. The probability of a six being rolled is independent of other throws, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Thrown four times

This means that [tex]n = 4[/tex]

Probability of rolling a six:

Six sides, one of which is 6. So

[tex]p = \frac{1}{6} = 0.1667[/tex]

i) exactly one six occurs

This is [tex]P(X = 1)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{4,1}.(0.1667)^{1}.(0.8333)^{3} = 0.386[/tex]

0.386 = 38.6% probability that exactly one six occurs.

ii) at least one six occurs​

This is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{4,0}.(0.1667)^{0}.(0.8333)^{4} = 0.482[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.482 = 0.518[/tex]

0.518 = 51.8% probability that at least one six occurs.

Answer:

2

Step-by-step explanation:

Given the nth term equation:

C(n) = - 6(-1/3)^(n-1)

The 2nd term :

C(2) = - 6(-1/3)^(2-1)

C(2) = - 6(-1/3)^1

C(2) = - 6(-1/3)

C(2) = - 6 * - 1/3

C(2) = 2

Answer:

i can not understand your language please type in english

Answer: L = 4 + w

A = 2P - 4

lw = 2(2l +2w) - 4

lw = 4(l + w) - 4

(w+4)w = 4 ( w+4+w) -4

(w +4)w = 4(2w + 4) - 4

w^2 + 4w = 8w + 16 - 4

w^2 + 4w = 8w + 12

w^2 - 4w - 12 = 0

( w - 6 )( w + 2 ) = 0

w - 6 = 0 ----> w = 6 ----> L=10 ---> P = 32 and A = 60

w + 2 = 0 ---> w = -2 <--- width cannot be negative; disqualified/rejected

Step-by-step explanation:

Answer: [tex]\$\ 204.4[/tex]

Step-by-step explanation:

Given

The total length of the trip is [tex]l=1940\ \text{miles}[/tex]

Car average is 28 miles per gallon

So, car requires

[tex]\Rightarrow \dfrac{1940}{28}=69.285\ \text{gallon}[/tex]

Price of gas is $2.95 per gallons

[tex]\therefore \text{cost is =}69.285\times 2.95\\\Rightarrow \$\ 204.4[/tex]

So, the cost of the trip is [tex]\$\ 204.4[/tex]

Answer:

B

Step-by-step explanation:

Answer:

0.025

Step-by-step explanation:

Mean = 79 ; Standard deviation = 7

P(x ≥ 93)

We obtain the ZSCORE :

Zscore = (x - mean) / standard deviation

x = 93

Zscore = (93 - 79) / 7 = 2

P(Z ≥ 2) = 0.02275

Answer:

4d - 0.22

Step-by-step explanation:

Answer:

Option c

Step-by-step explanation:

From the question we are told that:

Four accounting majors [tex]N_a=4[/tex]

Two economics majors  [tex]N_e=2[/tex]

Three marketing majors  [tex]N_m=3[/tex]

Total Applicants N_T=9

Generally the equation for Different ways that five of these could be hired is mathematically given by

[tex]X_5=^9P_5[/tex]

[tex]X_5=\frac{9!}{(9-5)!}[/tex]

[tex]X_5=15120[/tex]

Generally the equation for Different ways that Three of these could be hired is mathematically given by

[tex]X_3=^9P_3[/tex]

[tex]X_3=\frac{9!}{(9-5\3)!}[/tex]

[tex]X_3=504 ways[/tex]

Option c

Answer:

After simplify answer will be :[tex]\frac{5p}{18}[/tex]

Step-by-step explanation:

Given data:

[tex]\frac{2p}{3} *\frac{5p}{12}[/tex]

Now,

[tex]\frac{10p}{36}[/tex]

Final answer would be :

[tex]\frac{10p}{36}=\frac{5p}{18}[/tex]