Rewrite 35/7 as a whole number.

Answer:

1.  x = 11

2.  x = -11

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    (x)*(x)*1/11/1-(11/1)=0

                  11

Simplify   ——

                  1

             1

 (x2 • —— ÷ 1) - 11  = 0  

            11

                   1

Simplify   ——

                   11

            1          

 (x2 • —— ÷ 1) -  11  = 0  

            11        

               1      

Divide  ——  by  1

               11      

            1      

 (x2 • ——) -  11  = 0  

           11    

Subtracting a whole from a fraction

Rewrite the whole as a fraction using  11  as the denominator :

         11     11 • 11

   11 =  ——  =  ———————

         1        11    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

     x2 - (11 • 11)                                    x2 - 121

——————————————  =  ————————

            11                                              11          

   Factoring:  x2 - 121  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 121 is the square of 11

Check :  x2  is the square of  x1  

Factorization is :       (x + 11)  •  (x - 11)  

             (x + 11) • (x - 11)

 ———————————————————  = 0  

                          11    

    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 (x+11)•(x-11)

 ————————————— • 11 = 0 • 11

      11      

Now, on the left hand side, the  11  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  (x+11)  •  (x-11)  = 0

A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solve  :    x+11 = 0  

Subtract  11  from both sides of the equation :  

                     x = -11

Solve  :    x-11 = 0  

Add  11  to both sides of the equation :  

                     x = 11

1.  x = 11

2.  x = -11

Answer:

1.  x = 11

2.  x = -11

Step-by-step explanation:

1.  x = 11

2.  x = -11

The random variable n is defined as the smallest integer value of k for which the sum of the first k random variables in the sequence is greater than or equal to the constant c.

We have a sequence of independent uniform [0,1] random variables, denoted as x1, x2, x3, and so on. We also have a fixed constant c, which belongs to the interval [0,1].
Now, we want to define a random variable called n using these terms. The random variable n represents the smallest integer value k, such that the sum of the first k random variables in the sequence (x1 + x2 + ... + xk) is greater than or equal to the constant c.

To illustrate this, let's break down the steps involved in finding the value of n:
1. Start with k = 1.
2. Calculate the sum of the first k random variables: (x1 + x2 + ... + xk).
3. If the sum obtained in step 2 is greater than or equal to c, then stop and assign the value of n as k.
4. If the sum obtained in step 2 is less than c, increment k by 1 and repeat steps 2 and 3.
5. Continue repeating steps 2 to 4 until we find the smallest k such that the sum is greater than or equal to c. Assign this value of k as n.

So, in summary, the random variable n is defined as the smallest integer value of k for which the sum of the first k random variables in the sequence is greater than or equal to the constant c.
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Ad is 8cm

Step-by-step explanation:

Because AP is 4 and PB is 12, the total length of AB is 16cm. Because DE is the Midpoint of AB it must be half of the length. therefore AD is 8cm

Step-by-step explanation:

2x + 2x + x + x = Perimeter

6x = Perimeter

x = Perimeter ÷ 6

The possible number of times the binary search algorithm splits the list when searching for a term in the list varies depending on the length of the list and the position of the term within the list.

However, in general, the number of times the list is split during the binary search algorithm is proportional to the logarithm of the length of the list. So, for example, if the list has 8 items, the binary search algorithm may split the list up to 3 times (log base 2 of 8 is 3), while if the list has 1024 items, the binary search algorithm may split the list up to 10 times (log base 2 of 1024 is 10).

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Answer:

Step-by-step explanation:

Answer: starting from 0: 132. starting from 10: 162

Step-by-step explanation:

Answer: 64 m^3

Step-by-step explanation:

V=1/3*a^2*h

V = 1/3*64*3

V=64 m^3

Answer:

64 m³

Step-by-step explanation:

Formula

\(\textsf{Volume of a square based pyramid}=\dfrac{1}{3}a^2h\)

where:

Given:

Substituting the given values into the formula:

\(\begin{aligned}\implies \textsf{Volume}& =\dfrac{1}{3} \cdot 8^2 \cdot 3\\\\& = \dfrac{3}{3} \cdot 64\\\\& = 1 \cdot 64\\\\& = 64\:\sf m^3\end{aligned}\)

Answer:

The answer is apple

Step-by-step explanation: If you break it out correctly, whenever the sky tastes like watermelon its a sign of the birth of apples.

Answer:

the answer is simply 14

Step-by-step explanation:

its ez dum baby brain

Answer:

either y= 5x-3 or y= 3x-3

Step-by-step explanation:

Answer:

Mustaali Chill Bro

Component C, with a boiling point of 250°C, will be obtained at the bottom of the distillation column.

The component with the highest boiling point will be obtained at the bottom of the distillation column.

In this case, component C has the highest boiling point at 250°C, followed by component A at 120°C, and component B at 70°C. Therefore, during fractional distillation, component C will be obtained at the bottom of the distillation column.

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Answer:

3!*7+12-2=

(3*2*1)*7+12-2=

6*7+12-2=

42+12-2=

54-2=

52

Answer:

AC = \(\sqrt{58}\)

Step-by-step explanation:

Calculate AC using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = A (0, - 2) and (x₂, y₂ ) = C (3, 5 )

AC = \(\sqrt{(3-0)^2+(5-(-2)})^2\)

     = \(\sqrt{3^2+(5+2)^2}\)

    = \(\sqrt{9+7^2}\)

    = \(\sqrt{9+49}\)

    = \(\sqrt{58}\)

Answer:

the question is what problem

Step-by-step explanation:

In the given boundary-value problem, we are asked to set up the set of equations required to solve the problem using the finite difference method. The equation is y" = 2x²y + xy + 2, and we are given the boundary conditions y(1) = -1 and y(4) = 4.

To solve the problem using the finite difference method, we can approximate the second derivative y" using the central difference formula: y" ≈ (yₙ₊₁ - 2yₙ + yₙ₋₁) / h². Substituting this approximation into the original differential equation, we obtain the finite difference equation: (yₙ₊₁ - 2yₙ + yₙ₋₁) / h² = 2xₙ²yₙ + xₙyₙ + 2.

For the given boundary conditions, y(1) = -1 and y(4) = 4, we can use these values to form additional equations. At x₀ = 1, we have the equation y₀ = -1. At xₙ = 4, we have the equation yₙ = 4.

In summary, the set of equations required to solve the boundary-value problem by the finite difference method, with the given boundary conditions, would be:

(y₂ - 2y₁ + y₀) / h² = 2x₁²y₁ + x₁y₁ + 2,

(y₃ - 2y₂ + y₁) / h² = 2x₂²y₂ + x₂y₂ + 2,

...

(yₙ₊₁ - 2yₙ + yₙ₋₁) / h² = 2xₙ²yₙ + xₙyₙ + 2,

y₀ = -1,

yₙ = 4.

These equations form a system of equations that can be solved numerically to obtain the solution to the boundary-value problem.

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Answer:

The vertex will be at ( -1,-2)

Step-by-step explanation:

g(x) = |x + 1| - 2.

The vertex of g(x) = |x |  is ( 0,0)

y = f(x) + C C < 0 moves it down  

y = f(x + C) C > 0 moves it left

We shift this  to the left 1 unit and down 2 units

( 0 -1, 0-2)

The vertex will be at ( -1,-2)

Given: g(x) = |x + 1| - 2.

We start at g(x) = |x| at (0, 0)

c < 0 moves it down

y = f(x) + c

2 units down

c > 0 moves it left

y = f(x + c)

1 unit to the left

After the shift, we see the vertex being at (-1, -2).

Best of Luck!

The probability of success of the first two kicks is 0.733

Probability is the likelihood of an event

Since nervous kicker usually makes ​78% of his first field goal attempts. If he makes his first​ attempt, his success rate rises to 94​%. To find the probability that he makes his first two​ kicks, we notice that the events are independent events. So, the probability of independent events A and B is

P(A U B) = P(A)P(B)

Now let

So, the probability of success of the first two kicks is P(F U S) = P(F)P(S)

So, substituting the values of the variables into the equation, we have that

P(F U S) = P(F)P(S)

= 0.78 × 0.94

= 0.7332

≅ 0.733

So, the probability is 0.733

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Answer:

12. m = 1/3

14. m = 5/6

16. m = -5/2

Step-by-step explanation:

m = y2-y1/x2-x1

Answer:

x=g/6

Step-by-step explanation:

because if u do the inverse of multiplication which is division on both sides it gives u that and solves for x

To determine the vertices of image U′V′W′ after a 180° counterclockwise rotation, we can apply the following transformation rules:

Using these rules, we can find the vertices of image U′V′W′ as follows:

Therefore, the vertices of image U′V′W′ after a 180° counterclockwise rotation are U′(0, -2), V′(1, -3), and W′(3, -3).

So, the answer is option (b) U′(0, −2), V′(1, −3), W′(3, −3).

To solve for x, we need to use the properties of angles in a circle. We know that the measure of the central angle JIH is 74 degrees. We are also given that the measure of arc JH is (3x-39) degrees.

The angle ∠JIH is given as 74°, and the measure of arc JH is (3x-39)°. In a circle, the measure of an angle formed by an inscribed arc is half the measure of the arc. Therefore, we have: 74° = 1/2 * (3x-39)°. To solve for x, we can simplify the equation: 148 = 3x - 39, Adding 39 to both sides, we get: 187 = 3x . Dividing both sides by 3, we find: x = 62.3. Therefore, the value of x is approximately 62.3 when the measure of arc JH is (3x-39)°.

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Answer:

A. 96

C. 48

D. 24

Step-by-step explanation:

Multiples of 8

8 = 8, 16, 24, 32, 40, 48, 56, and 64, 72, 80, 88, 96, 104,.......

Multiples of 12

12 = 12, 24, 36, 48, 60, 72, 84, 96, 108,........

Common multiples of 8 and 12 = 24, 48, 72 and 96

The correct answers are:

A. 96

C. 48

D. 24

Making assumptions about the marginal pmf fx(x) and the conditional pmf h(y|x), probability P(X+Y>4) is 0.35.

To compute P(X+Y>4), we need to consider the possible values of X and Y and calculate the probabilities accordingly.

Let's analyze the scenario step by step:

Randomly choosing X from the interval [0, 4]:

The possible values for X are 0, 1, 2, 3, and 4. We assume a uniform distribution for X, meaning each value has an equal probability of being chosen. Therefore, the marginal pmf fx(x) is given by:

fx(0) = 1/5

fx(1) = 1/5

fx(2) = 1/5

fx(3) = 1/5

fx(4) = 1/5

Choosing Y from the interval [0, x]:

Since the value of X is observed, the range for Y will depend on the chosen value of X. For each value of X, Y can take on values from 0 up to X. We assume a uniform distribution for Y given X, meaning each value of Y in the allowed range has an equal probability. Therefore, the conditional pmf h(y|x) is given by:

For X = 0: h(y|0) = 1/1 = 1

For X = 1: h(y|1) = 1/2

For X = 2: h(y|2) = 1/3

For X = 3: h(y|3) = 1/4

For X = 4: h(y|4) = 1/5

Computing P(X+Y>4):

We want to find the probability that the sum of X and Y is greater than 4. Since X and Y are independent, we can calculate the probability using the law of total probability:

P(X+Y>4) = Σ P(X+Y>4 | X=x) * P(X=x)

= Σ P(Y>4-X | X=x) * P(X=x)

Let's calculate the probabilities for each value of X:

For X = 0: P(Y>4-0 | X=0) * P(X=0) = 0 * 1/5 = 0

For X = 1: P(Y>4-1 | X=1) * P(X=1) = 1/2 * 1/5 = 1/10

For X = 2: P(Y>4-2 | X=2) * P(X=2) = 1/3 * 1/5 = 1/15

For X = 3: P(Y>4-3 | X=3) * P(X=3) = 1/4 * 1/5 = 1/20

For X = 4: P(Y>4-4 | X=4) * P(X=4) = 1/5 * 1/5 = 1/25

Summing up the probabilities:

P(X+Y>4) = 0 + 1/10 + 1/15 + 1/20 + 1/25

= 0.35

Therefore, the probability P(X+Y>4) is 0.35.

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Answer:

392

Step-by-step explanation:

7(8) + 3(8)(14)

56 + 24(14)

56 + 336

392

Answer:

392.

Step-by-step explanation:

7m + 3mn Substitute the variables.

7(8) + 3(8)(14) Multiply from left to right.

56 + 24*14 Multiply 24 by 14.

56 + 336 Add the products.

392 is the answer.

Answer:

95.4 yards maybe

Step-by-step explanation:

just used pythagoras theorem

Answer: its the first one baby girl

Step-by-step explanation:

if im wrong you can blame me

Answer:

0.65

Step-by-step explanation:

The probability that a randomly selected student is in sports is 0.65.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

Given that, the number of students = 100.

Total number of outcomes =100

Number of favorable outcomes =65

Now, P(Sports) = 65/100

= 0.65

The probability that a randomly selected student is in sports is 0.65.

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Answer: Translate 5 units to the right, 3 units down

=============================================================

Explanation:

The x+5 means we add 5 to each x coordinate. A point like (1,2) moves to (6,2) after adding on 5 to that coordinate. This visually means the point moves 5 units to the right.

The y-3 means we shift 3 units down because we subtract 3 from the y coordinate. So for example, the point (6,2) moves to (6,-1).

Overall, the rule \((x,y) \to (x+5, y-3)\) means a point like (1,2) will move 5 units to the right and 3 units down to arrive at (6, -1). I recommend you try out more examples.