You and your friend play a trivia game. You answer 64% of the questions correctly and your friend answers 0.74 of the questions correctly. What is the minimum number of questions in the game?

Answer:

[tex]\frac{115\sqrt{14} }{2}[/tex]

Step-by-step explanation:

∫∫ ( x + y + z ) ds

where :

x = u + v ,  y = u - v ,  z = 1 + 2u + v ,  

0 ≤ u ≤ 5,  

0 ≤ v ≤ 1

R ( u,v ) = < u+v , u-v , 1 + 2u +v >   next we have to differentiate

attached below is a detailed solution

The surface integral S(x + y + z) dS, where S is the parallelogram is [tex]115\sqrt{14} /2[/tex] and this can be determined by integrating the given expression.

Given :

The surface integra S(x + y + z) dS, S is the parallelogram with parametric equations  x = u + v, y = u − v, z = 1 + 2u + v, 0 ≤ u ≤ 7, 0 ≤ v ≤ 3.

The following calculation can be used in order to determine the surface integral.

[tex]\rm R_u\times R_v = <3,1,-2>[/tex]

[tex]\rm ||R_u\times R_v|| = \sqrt{14}[/tex]

Now, evaluate the surface integral.

[tex]\rm I = \rm \int\int_s(x+y+z)dr[/tex]

[tex]\rm I = \int^5_{u=0}\int^1_{v=0}(u+v+u-v+1+2u+v)||R_u\times R_v||dA[/tex]

[tex]\rm I = \int^5_{u=0}\int^1_{v=0}(u+v+u-v+1+2u+v)\sqrt{14} \;du\;dv[/tex]

[tex]\rm I = \sqrt{14} \int^5_0(v+4uv+\dfrac{v^2}{2})^1_0\;du[/tex]

[tex]\rm I = \sqrt{14} (\frac{3}{2}u+4\frac{u^2}{2})^5_0[/tex]

Simplify the above expression.

[tex]\rm I = \dfrac{115\sqrt{14} }{2}[/tex]

The surface integral S(x + y + z) dS, where S is the parallelogram is [tex]115\sqrt{14} /2[/tex]

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Answer:

(x, y) -------- ( -x,-y)

Rule : Rotation center (0,0) , angle of rotation 180° or -180°

Step-by-step explanation:

The vertices of the object and image have coordinates at ;

D(-4,2), --------D'( 4,-2 ),

E (-1,3), --------E'( 1,-3 ),

F (-1,-3),--------F'(1,3),

G (-3,-4),------G'( 3,4 ),

You notice that after the rotation ;

( x, y )-------change to (-x,-y),

This rule is rotation center origin angle 180°

Answer:

x = 8,25%

Step-by-step explanation:

46,87 - 43 = 3,87

$46,87 -----  100%

$3,87   ------  x

46,87x = 100 . 3,87

         x = 387 / 46,87

         x = 8,25%

Answer: Manal = 27 messages

Elisa = 17 messages

Abdulrahman = 51 messages

Step-by-step explanation:

Let tye number of messages that Manal sent be x.

Since Eissa sent 10 fewer messages than Manal, this will be:

= x - 10

Abdulrahman sent 3 times as many messages as Eissa. This will be:

= 3(x - 10) = 3x - 30

We are also told that Manal, Abdulrahman, and Eissa sent a total of 95 text messages. This will be:

x + (x - 10) + (3x - 30) = 95

x + x - 10 + 3x - 30 = 95

x + x + 3x - 10 - 30 = 95

5x - 40 = 95

5x = 95 + 40

5x = 135

x = 135/5

x = 27

Manal = x = 27

Elisa = x - 10 = 27 - 10 = 17

Abdulrahman = 3x - 30 = 3×27 - 30 = 81 - 30 = 51

Manal = 27 messages

Elisa = 17 messages

Abdulrahman = 51 messages

The x-intercepts are x = 2/3 and x = 3.

The y-intercept is (0, 6).

A parabola is an equation of a curve, such that any point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix of the parabola.

The equation of a parabola:

y = a(x - h)² + k

we have,

To find the x-intercepts, we set y to zero and solve for x:

0 = −3x^2 − 5x + 6

We can factor this quadratic equation:

0 = (−3x + 2)(x − 3)

x - 3 = 0

x = 3

And,

-3x + 2 = 0

-3x = -2

x = 2/3

So the x-intercepts are x = 2/3 and x = 3.

To find the y-intercept, we set x to zero and evaluate y:

y = −3(0)² − 5(0) + 6

y = 6

So the y-intercept is (0, 6).

Thus,

The x-intercepts are x = 2/3 and x = 3.

The y-intercept is (0, 6).

Learn more about parabola here:

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Answer:

724.0915

Step-by-step explanation:

multiply 899.99 and 8.5 you get 724.0915

hope this helps

Adding and subtracting with negative numbers

First, recognize that adding and subtracting are, from one viewpoint, the same thing. Subtracting a number is the same thing as adding the negative of that number. For example, 4 – 12 is the same as 4 + –12 (which, because the order of terms doesn't matter with addition, is the same as –12 + 4). With that in mind, here are the rules for adding with negative and positive numbers:

If both numbers are positive, then the answer is positive.

If both numbers are negative, then the answer is negative.

If the numbers have different signs, the answer takes the sign of the higher number.

Subtracting a negative number is the same as adding the positive of that number. For example, 5 – –4 is the same as 5 + 4.

Multiplying and dividing with negative numbers if the numbers have different signs, the answer is negative.

Answer:

7

Step-by-step explanation:

Since the smaller triangle is similar to the larger, then its' sides are in the same proportion. So:

1/2=2x-6/16

Then:

4x-12=16

4x=28

x=7 ........................

Answer:

-951

Step-by-step explanation:

an=a1+(n−1)d

\begin{gathered}29 = a_1 + (1-1)d\\29 = a_1\\9 = 29 + (2-1)d\\9 = 29 + d\\d = -20\\a_n = 29 -20 (n-1)\\a_n = 29 - 20n+20\\a_n = -20n + 49\\\\a_51 = -20(51) + 49 = -951\end{gathered}29=a1+(1−1)d29=a19=29+(2−1)d9=29+dd=−20an=29−20(n−1)an=29−20n+20an=−20n+49a51=−20(51)+49=−951

The 51st term of the arithmetic sequence 29,9,-11 is -971 or a(51) = -971.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

It is given that:

The sequence is:

29, 9, -11

The above sequence represents an arithmetic sequence:

The common difference d = 9 - 29

d = -20

The first term a = 29

Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.

The nth term of the AP:

a(n) = a + (n-1)d

a(n) = 29 + (n - 1)[-20]

a(n) = 29 -20n +20

a(n) = 29 -20n +20

a(n) = 49 - 20n

Plug n = 51

a(51) = 49 - 20(51)

a(51) = -971

Thus, the 51st term of the arithmetic sequence 29,9,-11 is -971 or a(51) = -971.

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Answer:

1/9 = 0.1111111

Step-by-step explanation:

Answer:

About $482

Step-by-step explanation:

23150÷48=482.29

Round 482.29 to 482 if u want

Answer:

5/4 is rational , 100 square root is irrational , 7.3 rational , 0.00247 is rational , 4/9 square root is irrational ,2/24 square root is irrational and 0.01 is rational :)

Answer:

I don't understand make is more simplify

Answer:

Step-by-step explanation:

this is the solve for the first q. only sorry

Answer:

y-intercept = (0, 8)

axis of symmetry= -b/2a

Step-by-step explanation:

Also when you want something to be squared use this symbol ^

Answer:

The values of p = 0 < p ≤ 2/3

Step-by-step explanation:

First we write the probability of 6V flashlight working representing it as a binomial mass function of a binomial random variable

P ( 6v flashlight working  ) = P ( at least one 6V battery works )

                                           = P ( 1 6v battery work )  + P ( 2  6v battery work )

                                           = b( 2; 2, p ) + b( 1; 2, p )

write out a formula of  b( 2; 2, p ) + b( 1; 2, p )

P ( 6v flashlight working  )  = p^2 + 2p( 1 - p )

Next we write the probability of D flashlight working representing it as a binomial mass function of a binomial random variable

P ( D flashlight works ) = p ( at least two D batteries works )

                                     = b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )

write out a formula of  b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )

P ( D flashlight works ) = [tex]P^4 + 4p^3 ( 1- p ) + 6p^2 ( 1- p)^2[/tex]

attached below is the remaining solution

Answer:

i think letter d

Step-by-step explanation:

i hope you know the answer

Step-by-step explanation:

(1 point)

No, there isn't a more efficient way to solve this system.

Yes, a more efficient way is to multiply the first equation by 4, add to eliminate y, then solve for x.

Yes, a more efficient way is to multiply the first equation by −4, add to eliminate y, then solve for x.

Yes, a more efficient way is to multiply the first equation by −4, add to eliminate x, then solve for y.

Answer:

true

Step-by-step explanation:

because it is

Answer:

True

Step-by-step explanation:

how will u send? in another question or wat?

Answer:

cool

Step-by-step explanation:

Answer: 29

Step-by-step explanation: 180-146= 34-5 29.

Answer:

[A] 29

Explanation:

Equation: 180 = 146 + (x + 5)

180 = 146 + (x + 5)

Switch Sides

146 + (x + 5) = 180

Remove Parenthesis

146 + x + 5 = 180

Group Like Terms

x + 146 + 5 = 180

Add: 146 + 5 = 151

x + 151 = 180

Subtract 151 From Each Side Of Equation

x + 151 - 151 = 180 - 151

x = 29

Answer:

7×7×7

Explanation:

[tex] {7}^{3} = 7 \times 7 \times 7[/tex]

When a number is raised to a power, it means that the number is multiplying itself as many times as the number written as the power.

Answer:

$13564.8

Step-by-step explanation:

Step one:

given data

principal= $12560

rate= 2%= 0.02

time= 4years

Required:

the simple interest

Step two:

the expression for the simple interest is

A= P(1+rt)

substitute

A=12560(1+0.02*4)

A=12560(1+0.08)

A=12560(1.08)

A=13564.8

$13564.8

it's C (11,555.20)

now have a nice day guys

i would go with either a or b

Answer:

Miles walked 7 time 2.5 hours

Answer:

a common denominator for 3/7 and 1/3 is 21

Answer:

unlikely

Step-by-step explanation:

60/122

60 ÷122=0.49

0.49 × 100 =49

49% chance

answer is unlikely

explanation:

There isn't an exact way to answer this problem. Is there more to the question? If not, I am unable to answer it for you.