PLEASE HELP
speed and velocity
due by 12pm
i will give a lot of points and brainliest
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Answer:  48 as a product of its prime factors is 48  or  2*2*2*2*3

Step-by-step explanation:

 First find the prime factors of 48

    48

     ∧  

 2    24    

        ∧

      2     12

             ∧  

            3   4  

                  ∧

                 2  2  

The prime factors are  2 * 2 * 2 * 2 * 3     or [tex]2^{4} * 3[/tex]  

Answers:

These three ratios are often expected to be memorized or written on a flashcard, or reference sheet. I recommend memorizing them as they will come up quite often in trigonometry.

One way to remember is to use phrase "SOH CAH TOA" which could sound like "soak a toe-a" when you pronounce it out.

SOH = sine opposite hypotenuse

CAH = cosine adjacent hypotenuse

TOA = tangent opposite adjacent

701,208 is in word form is Seven hundred one thousand, two hundred eight

A number system is defined as a system of writing to express numbers.

Given that A certain comet near the sun moved through space at a rate of 701, 208 kilometers per hour

We need to write the number in sentence form

In the given number 8 is at units place

0 at tens place

2 is at hundred place

1 is at thousand place

0 is at ten thousand place

7 is at hundred thousand place

701, 208 is Seven hundred one thousand, two hundred eight

Hence, 701,208 is in word form is Seven hundred one thousand, two hundred eight

To learn more on Number system click:

https://brainly.com/question/22046046

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Answer:

He lost 15 points and recieved 12 points back now he missing 3 points

Answer:£472.92

Step-by-step explanation:

£2100(0.78)^6

Answer:

Step-by-step explanation:

10(5k+2)

14) confused sorry

5(a+2)

4(k+3)

Answer:

L= -44t +313 W=-51t+334

Lily is closer to the stadium than William when t < 3 hours

Step-by-step explanation:

Answer:

I can see ur question but I'm not getting it is there any answers I can chose from to work it out

Answer:

First set = 60 minutes

Second set = 66 minutes

Step-by-step explanation:

Given that:

Length of third set = 71.28 minutes ;

Third set was 8% longer than second set ;

Length of second set = x

Third set = (100% + 8%) = 108% of second set

71.28 = 1.08 * x

71.28 = 1.08x

x = 71.28 / 1.08

x = 66

Hence, second set = 66 minutes

Second set was 10% longer than the first

(100 + 10)% of first set = second set

110% of first set = second set

Let first set = y

1.1 * y = 66

1.1y = 66

y = 66 / 1.1

y = 60

Hence, first set = 60 minutes

First set = 60 minutes

Second set = 66 minutes

Answer:

8k + 5

Step-by-step explanation:

First, you need to distribute the 1/2 to everything in the parentheses.

1/2 x 6k = 3k

1/2 x 10 = 5

The new expression is now:

3k + 5 + 5k

Add like terms.

3k + 5k = 8k

The expression becomes:

8k + 5

Answer:

Null Hypothesis:-H₀: P = 0.12

There is no difference between the percentage of volunteers selected from the college students.

Alternative Hypothesis:-H₁: P ≠ 0.12

There is a difference between the percentage of volunteers selected from the college students.

The calculated value Z = 0.5543 < 2.376 at 0.01 level of significance

The null hypothesis is accepted

There is a difference between the percentage of volunteers selected from the college students.

Step-by-step explanation:

Step(i):-

Given that the Population proportion P= 12% = 0.12

Given that the 331 randomly selected students who receive financial aid, 43 of them volunteered their time.

Sample proportion

                      [tex]p = \frac{x}{n} = \frac{43}{331} = 0.1299[/tex]

Step(ii):-

Null Hypothesis:-H₀: P = 0.12

There is a difference between the percentage of volunteers selected from the college students.

Alternative Hypothesis:-H₁: P ≠ 0.12

There is no difference between the percentage of volunteers selected from the college students.

Step(iii):-

Test statistic

        [tex]Z = \frac{p-P }{\sqrt{\frac{PQ}{n } } }[/tex]

        [tex]Z = \frac{0.1299-0.12 }{\sqrt{\frac{(0.12)(0.88)}{331 } } }[/tex]

      Z = 0.5543

Level of significance = 0.01

Critical value Z₀.₀₁ = 2.376

Final answer:-

The calculated value Z = 0.5543 < 2.376 at 0.01 level of significance

The null hypothesis is accepted

There is a difference between the percentage of volunteers selected from the college students.

Answer:

176

Step-by-step explanation:

Answer:

(2,-3)

Step-by-step explanation:

The intersection point of y=x-5 and y=-3x+3 is (2,-3) on a graph.

Answer:

I think its 108. Hope this helps!

Step-by-step explanation:

Answer:

3 small boxes and 6 large ones

Step-by-step explanation:

3 times 100 equals 300 and 6 times 350 is 2100 and 2100 plus 300 is 2400.

Answer:

    [tex]\lim_{n \to \infty} U_n =0[/tex]

Given series is convergence by using Leibnitz's rule

Step-by-step explanation:

Step(i):-

Given series is an alternating series

∑[tex](-1)^{n} \frac{n^{2} }{n^{3}+3 }[/tex]

Let   [tex]U_{n} = (-1)^{n} \frac{n^{2} }{n^{3}+3 }[/tex]

By using Leibnitz's rule

   [tex]U_{n} - U_{n-1} = \frac{n^{2} }{n^{3} +3} - \frac{(n-1)^{2} }{(n-1)^{3}+3 }[/tex]

 [tex]U_{n} - U_{n-1} = \frac{n^{2}(n-1)^{3} +3)-(n-1)^{2} (n^{3} +3) }{(n^{3} +3)(n-1)^{3} +3)}[/tex]

Uₙ-Uₙ₋₁ <0

Step(ii):-

    [tex]\lim_{n \to \infty} U_n = \lim_{n \to \infty}\frac{n^{2} }{n^{3}+3 }[/tex]

                       [tex]= \lim_{n \to \infty}\frac{n^{2} }{n^{3}(1+\frac{3}{n^{3} } ) }[/tex]

                    = [tex]= \lim_{n \to \infty}\frac{1 }{n(1+\frac{3}{n^{3} } ) }[/tex]

                       [tex]=\frac{1}{infinite }[/tex]

                     =0

    [tex]\lim_{n \to \infty} U_n =0[/tex]

∴ Given series is converges

Answer:

15.5hr

Step-by-step explanation:

Speed = Distance/Time

Given

Distance = 1550ml

Speed = 100ml/hr

Required

Time

From the formula;

Time = Distance/Speed

Time = 1550/100

Time = 15.5hr

Hence it will take 15.5hr

Answer:

25f + 100c < 500

Step-by-step explanation:

I hope it helps.

Answer:

Figure 4 will need 12 toothpicks.

Answer:

29) x=8

30) x=18

Step-by-step explanation:

The picture tells you that ∠AOB and ∠COD are equal. So,

29: m∠AOB = m∠COD

Substitute.

4x - 2 = 2x + 14

Solve.

2x = 16

x = 8°

30. again, m∠AOB = m∠COD = 28

m∠AOD = m∠AOB + m∠BOC + m∠COD

Substitute.

6x = 28 + 3x -2

Simplify.

6x = 3x + 54

Solve.

3x = 54

x = 18

There is 21 square units by 3 and 7. 3 as the column and 7 as a row. You can solve it by multiplying 3 with 7 which gives you 21 or adding 7+7+7 or 3+3+3+3+3+3+3 and all three gives you 21 as the answer. So the square unit of 3 and 7 is 21.

Answer:

false, no

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

The possible outcome from rolling two dice is:

1,1      1,2      1,3     1,4      1,5     1,6

2,1     2,2     2,3    2,4     2,5    2,6

3,1     3,2     3,3    3,4      3,5    3,6

4,1     4,2     4,3     4,4     4,5     4,6

5,1     5,2     5,3     5,4     5,5     5,6

6,1     6,2     6,3     6,4     6,5     6,6

The total number of outcomes = 36

a)

P(sum of 5) = 4/36, P(sum of 6) = 5/36, P(sum of 7) = 6/36

Hence:

P(sum of 5 or sum of 6, or sum of 7) = P(sum of 5) + P(sum of 6) + P(sum of 7) = 4/36 + 5/36 + 6/36

P(sum of 5, 6, or 7) = 15 / 36

b)

P(doubles) = 6/36, P(sum of 6) = 5/36, P(sum of 8) = 5/36

Hence:

P(doubles or sum of 6 or sum of 8) = P(doubles) + P(sum of 6) + P(sum of 8) = 6/36 + 5/36 + 5/36

P(doubles or sum of 6 or sum of 8) = 16 / 36

c)

P(sum greater than 8) = 10/36, P(sum lesser than 3) = 1/36

P(sum greater than 8 or less than 3) = P(sum greater than 8) + P(sum lesser than 3) = 10/36 + 1/36

P(sum greater than 8 or less than 3) = 11 / 36

Part c has the least probability of occurrence, hence c is least likely to occur.

Answer:

32

Step-by-step explanation:

Answer:

Net Amount (excluding tax)$45.29

Tax (7.0%)$3.17

Gross Amount (including tax)$48.46

Step-by-step explanation:

Please don't hate me if i'm wrong.

Answer:

48.46

Step-by-step explanation:

To find the sales tax of this you would have to multiply

$45.29*1.07=48.46

which would get you your answer

Example

You can plug it in with other things like sales tax of 9% for any number like 67.98 so you can just do

$67.98*1.09=74.10