Solve the system of equations using elimination

Answer:

Continuous data

Step-by-step explanation:

Given

[tex]d = 45t[/tex]

Required

Discrete or Continuous?

From the question, we understand that t represents time in hours. This is a continuous data.

When multiplied by 45 to give distance, the resulting data is also continuous.

Hence, [tex]d = 45t[/tex] is continuous

Answer:

d = 2.5t, continuous

Step-by-step explanation:

Just did it on Edge and got it right

Answer:

288pi

904.3

1648.5

33493.3

Step-by-step explanation:

1.

volume = 6^2 * 8 * pi = 288pi

= 904.32

2.

5^2*21*3.14 = 1648.5

3.

4/3 * 20^3 * 3.14 = 33493.3

Answer:

x=103.9536≈104 feet

Step-by-step explanation:

Answer:

3/4 + 3/5 = 1 7/20

Step-by-step explanation:

5 x 4 = 20

3/4 = 15/20

3/5 = 12/20

15/20 + 12/20 = 27/20 = 1 7/20

Answer: 1 7/20 (one and seven-twentieths)

Step-by-step explanation:

1) 3/4 = 15/20 and 3/5 = 12/20

2) 15/20 + 12/20 = 27/20

3) 27/20 = 1 7/20

Good Luck!

Answer:

Step-by-step explanation:

The value of P(x>6) is 1/5.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that A distribution is given as X ~ U(0, 12).

We need to find the value of  P(x > 6)

The probability density function of the uniform distribution is defined as:

f(x)=1/b-a, a<x<b

a=0 and b=12

f(x)=1/12 , 0<x<12

The required probability is P(x>6)

Now P(x>6)= [tex]\int\limits^2_6 {f(x)} \, dx[/tex]

P(x>6)=(12/12-6/12)

=1-1/2

=1/2=0.5

Hence, the value of P(x>6) is 1/5.

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fifty five thousand 55,000

Answer:

Step-by-step explanation:

6/9+x=7/10

x=7/10-6/9

when adding fractions both denominators must be equal, we’ll make them 90

x=(7/10)(9/9)-(6/9)(10/10)

x=63/90-60/90

x=3/90, the greatest divisor of 3 and 90 is 3 so divide both the numerator and denominator by 3

x=(3/3)/(90/3)

x=1/30

Answer:

The quadratic equation is [tex]h(t) = -318.22t^2 + 954.67t + 12728.89[/tex]

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta= b^{2} - 4ac[/tex]

Quadratic equation:

[tex]ax^2 + bx + c = 0[/tex]

The rock reaches a maximum height of 676 feet above the ground after 1.5 seconds.

This means that:

[tex]-\frac{b}{2a} = 1.5[/tex]

[tex]y_{v} = -\frac{b^2-4ac}{4a} = 676[/tex]

If the rock hits the ground below the ledge 8 seconds after it is thrown

This means that:

[tex]64a + 8b + c = 0[/tex]

Relation of b and a:

[tex]-\frac{b}{2a} = 1.5[/tex]

This means that:

[tex]b = -3a[/tex]

Relationship of c and a:

[tex]64a + 8b + c = 0[/tex]

[tex]64a - 24a + c = 0[/tex]

[tex]c = -40a[/tex]

Finding a:

[tex]y_{v} = -\frac{(-3a)^2-4a(-40a)}{4a} = 676[/tex]

[tex]9a^2+160a = -2704a[/tex]

[tex]9a^2 + 2864a = 0[/tex]

[tex]a(9a + 2864) = 0[/tex]

Since it is a quadratic equation, a cannot be 0.

[tex]9a + 2864 = 0[/tex]

[tex]9a = -2864[/tex]

[tex]a = -\frac{2864}{9}[/tex]

[tex]a = -318.22[/tex]

Finding b and c:

[tex]b = -3a = -3(-318.22) = 954.67[/tex]

[tex]c = -40a = -40(-318.22) = 12728.89[/tex]

The quadratic equation is given by:

[tex]h(t) = -318.22t^2 + 954.67t + 12728.89[/tex]

The quadratic equation is [tex]h(t) = -318.22t^2 + 954.67t + 12728.89[/tex]

Answer:

D)1/3 ?

Step-by-step explanation:

Maybe 1/3

Do some research, I guess it's D).

I hope that helps (:

1. The entire fraction is negative if the numerator or denominator are negative.

if both parts of the fraction were negative, the entire fraction would be positive (- / - = +)

2. Of course, although most teachers ask you to put the negative sign in the fraction as a whole (before the fraction line) or in the numerator. never leave a fraction with two signs. in this case, if it has two signs and they are different, the whole fraction is NEGATIVE

3) No. the whole fraction is POSITIVE only if both the numerator and the denominator have the same sign, + + or - -

Answer:

The answer is 3 1/2 inches!

Step-by-step explanation:

Answer:

Linear positive association

Answer:

851,968

Step-by-step explanation:

26*8*8*8*8*8= 851,968

From the combination of codes, 851,968 employee ID codes can be generated.

Given,
Employee ID codes can be generated.
Each code will have one letter followed by five digits. The digits 2 and 6 will not be used. So, there are 26 letters and 8 digits that will be used.
The number of employee codes to be determined.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Required number of  codes = 26 * 8 * 8 * 8 * 8 * 8
                                         = 851,968

Thus, from the combination of codes, 851,968 employee ID codes can be generated.

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Answer: 24

Step-by-step explanation:

32/4 = 8

3 * 8 = 24

24 + 8 = 32

There are 24 windows in the new wing.

Hope this helped! :)

Answer:

70°

Step-by-step explanation:

80° - x + 80° = 90° { being complementary angles }

160° - x = 90°

x = 180° - 90°

x = 70°

Hope it will help :)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{3}{7}=\frac{3*3}{7*3}=\frac{9}{21}\\\\\frac{1}{3}=\frac{1*7}{3*7}=\frac{7}{21}[/tex]

Answer:

That’s easy it is 282

Step-by-step explanation:

He will now have 282 bucks altogether.

Step-by-step explanation:

We already know that he has 237 bucks before his birthday, but now he has an additional 45 bucks that he got from his birthday. With this, you can create an equation that looks like this: 237+45. You then solve the equation by adding 45 to 237, which gets you 282 bucks altogether.

Answer:

12

2,3,4,6

30

12,3,5,6,10,15

Answer:

(19x-290)/(4(x+2)(x-6)

Step-by-step explanation:

Apply Fraction Rule:

(41)/(4x+8)-(11)/(2x-12)

Factor:

(41)/4(x+2)-(11)/(2x-12)

Factor:

(41)/4(x+2)-(11)/2(x-6)

LCM:

(41)(x-6)/(4)(x+2)(x-6)-(22(x+2))/(4)(x+2)(x-6)

Expand:

= (19x-200)/4(x+2)(x-6)

Answer:

The Answer Is 125.

Step-by-step explanation:

As, 18 More Than K Means

18 More Than 7

So, It's 25

Then Evaluate 25 With 5

It's 25(5)

Or 25 × 5

It's 125.

Answer:

P 145.55

Step-by-step explanation:

435.30 - 289.75 = 145 .55

Answer:

x = 115

z= 40

y = 140

Step-by-step explanation:

x = 180 - (40 +25) = 115

z = 180 - (115+25) = 40

y = 180 - (40) = 140

Answer:

This is your answer!!!

Step-by-step explanation:

I attached a pic.

Hope it helps!!!

Answer:   it is 1.25

hope i helped

Answer:

1.25

Step-by-step explanation:

yeah

Answer:

-3.5,-3,-2 1/2,-2,2.5

Step-by-step explanation:

Least. Greatest

-3.5, -3, -2 1/2, -2, 2.5

well if

120-74=46

then 46 is the correct answer.

74+46=                    120

46 more students can sign up for the field trip.

Answer:

74 + (x) = 120

Step-by-step explanation:

subtract 74 from 120

120 - 74 = 46

Answer:

9

Step-by-step explanation:

24 - 3(5)

24 - 15

9

good luck, i hope this helps :)

Answer:

tablet can hold 500000 pages of text .

tablet can hold 1000 books of 500 pages