Equivalent expression to (3*6) to the 2nd power

Answer:

c = 5.5

Step-by-step explanation:

2 a + 5 c = 46.50

a + c = 15

a = 15 - c

2(15-c ) +5c = 46.50

30 - 2c +5c = 46.5

3c = 16.5

c = 5.5

An exterior angle of a triangle is equal to the sum of its interior opposite angles.

⇛ x = 90° + 46°

⇛ x = 136°

Option A) 59.6 is correct.

How to calculate Distance?

Using the distance formula: This method is also used to find the distance between two points in a plane. The formula is: distance = √((x2 - x1)² + (y2 - y1)²)

To find the distance between the man and the cliff, we can use trigonometry. We know that the angle of elevation is 40° and the height of the cliff is 50 m. We can use the tangent function to find the distance.

distance = (height of cliff) / (tangent of angle of elevation)

distance = 50 m / (tan 40°)

distance = 50 m / 0.8391

distance = 59.6 m

So, the distance between the man and the cliff is approximately 59.6 meters.

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The net of a triangular prism consists of two triangles and three rectangles.

In the net of a triangular prism, we can observe two types of polygons: triangles and rectangles.

First, let's discuss the triangles.

A triangular prism has two triangular faces, which are congruent to each other.

These triangles are equilateral triangles, meaning they have three equal sides and three equal angles.

Each of these triangles contributes two polygons to the net, one for each face.

Next, we have the rectangles.

A triangular prism has three rectangular faces that connect the corresponding sides of the triangular bases.

These rectangles have opposite sides that are parallel and equal in length.

Each rectangle contributes one polygon to the net, resulting in a total of three rectangles.

To summarize, the net of a triangular prism consists of two equilateral triangles and three rectangles.

The triangles represent the bases of the prism, while the rectangles form the lateral faces connecting the bases.

Altogether, there are five polygons in the net of a triangular prism.

It's important to note that the dimensions of the polygons may vary depending on the specific size and proportions of the triangular prism, but the basic shape and number of polygons remain the same.

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The expression ! x - 3 > 0 can be evaluated differently depending on the intended order of operations. option (d) is the correct way to evaluate the expression.  !((x - 3) > 0) This expression is equivalent to the original expression because it checks if x is greater than 3.

((!x) - 3) > 0 This expression first applies the logical NOT operator to x, which flips its truth value (e.g., true becomes false, false becomes true). Then, it subtracts 3 from the result of the NOT operation. Finally, it checks if the result is greater than 0. This expression is not equivalent to the original expression.

(!(x - 3) > 0) This expression subtracts 3 from x first, then checks if the result is greater than 0. The logical NOT operator is then applied to this result. This expression is equivalent to the original expression because it checks if x is greater than 3.

(!x) - (3 > 0)This expression applies the logical NOT operator to x first. Then, it subtracts the result of the expression 3 > 0, which evaluates to true (1) because 3 is greater than 0. This expression is not equivalent to the original expression.

!((x - 3) > 0) This expression subtracts 3 from x first, then checks if the result is greater than 0. If the result is greater than 0, the expression evaluates to false (0) because of the logical NOT operator. If the result is less than or equal to 0, the expression evaluates to true (1). This expression is equal to original expression, as x is greater than 3.

Therefore, option d is the correct expression.

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Therefore, the rate of the boat in still water is 70 mph, and the rate of the current is 30 mph.

Let's denote the rate of the boat in still water as "b" and the rate of the current as "c."

When the boat is traveling upstream, it is going against the current, so the effective speed is reduced. The speed of the boat relative to the ground can be calculated as (b - c).

Given that it takes 5 hours to travel 200 miles upstream, we can set up the equation:

Distance = Speed * Time

200 = (b - c) * 5

Dividing both sides by 5, we get:

40 = b - c (Equation 1)

When the boat is traveling downstream, it is aided by the current, so the effective speed is increased. The speed of the boat relative to the ground can be calculated as (b + c).

Given that it takes 2 hours to travel 200 miles downstream, we can set up the equation:

200 = (b + c) * 2

Dividing both sides by 2, we get:

100 = b + c (Equation 2)

Now we have a system of equations consisting of Equation 1 and Equation 2:

40 = b - c

100 = b + c

We can solve this system of equations using any method of solving simultaneous equations, such as substitution or elimination.

Adding Equation 1 and Equation 2:

40 + 100 = (b - c) + (b + c)

140 = 2b

Dividing both sides by 2, we get:

b = 70

Substituting the value of b back into Equation 1 or Equation 2:

40 = 70 - c

Subtracting 70 from both sides:

-30 = -c

Multiplying both sides by -1, we get:

30 = c

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The correct option is B.

We know that if a function is differentiable at a point 'a', then it is also continuous at that point.

Option A is the formula for the one-sided derivative, which only holds if f'(a) exists and is finite. Since f'(a) is given to be non-zero, option A cannot be true.

Option C has a denominator of h, which means it is the formula for the one-sided derivative as h approaches 0. Again, since f'(a) is non-zero, option C cannot be true.

Option B is the formula for the two-sided derivative, which is valid even if function f'(a) is non-zero. Therefore, option B is true.

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Answer:

ig the answer is 245788675428

Step-by-step explanation:

but if u was talking about 139x12 then the answer is 1668

hope it helps

mark me brainliest pls

Answer:

I don't know but I think the answer is 3

Answer:

twenty one because you yuh

Answer: Answer:10 kg

Explanation: momentum p = mv and m = p/v

Mass m = 2000 kgm/ s / 200 m/s

Step-by-step explanation:

Answer:

Step-by-step explanation:

The total amount received from selling the 40 shares of stock today, given a current value of $32.67 per share, would be $702.80.

To determine the total amount you would receive if you were to sell the stock today, we need to calculate the current value of the 40 shares.

Given that the stock is listed at $32.67 per share today, the current value of one share is $32.67. Therefore, the current value of 40 shares would be:

Current value = $32.67 * 40 = $1,306.80.

On your birthday, the value of the stock was $15.10 per share. Therefore, the value of one share at that time was $15.10. The total value of 40 shares on your birthday would be:

Value on birthday = $15.10 * 40 = $604.00.

To determine the total amount you would receive from selling the stock, you need to calculate the difference between the current value and the value on your birthday:

Total amount received = Current value - Value on birthday

= $1,306.80 - $604.00

= $702.80.

Therefore, if you were to sell the stock today, you would receive a total amount of $702.80.

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Answer:

4.25

Step-by-step explanation:

5-3/4=4.25

sry if im wrong hope this helps

brainliest? please?

(i) P(X < 1/2) is approximately 0.5333.

(ii) Var(X) is approximately 0.7075.

What is a density function?

A density function, also known as a probability density function (PDF), is a function that describes the probability distribution of a continuous random variable. It provides information about the relative likelihood of different values occurring within a given range.

To find the constants a and b, we can use the fact that the density function must integrate to 1 over its support. In this case, the support is the interval (0, 1). We can set up the integral and solve for the values of a and b.

∫[0,1] f(x) dx = 1

∫[0,1] (ax + b\(x^{2}\)) dx = 1

Integrating term by term:

(a/2)\(x^{2}\) + (b/3)\(x^{3}\) | [0,1] = 1

[(a/2)\((1)^2\) + (b/3)\((1)^3\)] - [(a/2)\((0)^2\) + (b/3)\((0)^3\)] = 1

(a/2) + (b/3) = 1

Now, we can use the given information that E(X) = 0.6 to find another equation involving a and b.

E(X) = ∫[0,1] x * f(x) dx

∫[0,1] x(ax + b\(x^{2}\)) dx

(a/3)\(x^3\) + (b/4)\(x^4\) | [0,1] = 0.6

[(a/3)\((1)^3\) + (b/4)\((1)^4\)] - [(a/3)\((0)^3\) + (b/4)\((0)^4\)] = 0.6

(a/3) + (b/4) = 0.6

Now we have a system of equations:

(a/2) + (b/3) = 1 ---(1)

(a/3) + (b/4) = 0.6 ---(2)

We can solve this system of equations to find the values of a and b.

Multiplying equation (1) by 3 and equation (2) by 2, we get:

(3a/2) + (2b/3) = 3

(2a/3) + (2b/2) = 1.2

Simplifying the equations:

3a + (4b/3) = 3

2a + (3b/2) = 1.2

Now we can multiply the second equation by 2 and subtract it from the first equation to eliminate a:

3a + (4b/3) - (4a + 3b) = 3 - 2(1.2)

3a + (4b/3) - 4a - 3b = 3 - 2.4

-a - (5b/3) = 0.6

Multiplying through by -1:

a + (5b/3) = -0.6

Now we can solve this equation simultaneously with equation (1) to find a and b:

a + (5b/3) = -0.6 ---(3)

(a/2) + (b/3) = 1 ---(1)

Multiplying equation (1) by 3 and equation (3) by 2, we get:

(3a/2) + b = 3

2a + (10b/3) = -1.2

Simplifying the equations:

3a + 2b = 6

6a + 10b = -3.6

Multiplying the first equation by 3 and subtracting it from the second equation to eliminate a:

6a + 10b - 9a - 6b = -3.6 - 18

-3a + 4b = -21.6

Now we have two equations:

-3a + 4b = -21.6 ---(4)

3a + 5b = 1.8 ---(5)

We can eliminate a by adding equations (4) and (5):

(-3a + 4b) + (3a + 5b) = -21.6 + 1.8

9b = -19.8

b = -19.8 / 9

b = -2.2

Substituting the value of b into equation (4):

-3a + 4(-2.2) = -21.6

-3a - 8.8 = -21.6

-3a = -21.6 + 8.8

-3a = -12.8

a = -12.8 / -3

a = 4.27 (rounded to two decimal places)

Therefore, the constants a and b are approximately a = 4.27 and b = -2.2.

(i) To find P(X < 1/2), we need to integrate the density function from 0 to 1/2:

P(X < 1/2) = ∫[0,1/2] f(x) dx

P(X < 1/2) = ∫[0,1/2] (4.27x - 2.2\(x^{2}\)) dx

Integrating term by term:

(4.27/2)\(x^2\) - (2.2/3)\(x^3\) | [0,1/2]

[(4.27/2)(1/2)² - (2.2/3)(1/2)³] - [(4.27/2)(0)² - (2.2/3)(0)³]

[4.27/8 - 2.2/24] - [0]

P(X < 1/2) = 0.5333 - 0 = 0.5333 (rounded to four decimal places)

Therefore, P(X < 1/2) is approximately 0.5333.

(ii) To find Var(X), we can use the formula:

Var(X) = E(X²) - [E(X)]²

We already know E(X) = 0.6. Now let's calculate E(X²):

E(X²) = ∫[0,1] x² * f(x) dx

E(X^2) = ∫[0,1] x² * (4.27x - 2.2x²) dx

E(X^2) = ∫[0,1] (4.27x³ - 2.2x⁴) dx

Integrating term by term:

(4.27/4)x⁴ - (2.2/5)x⁵ | [0,1]

[(4.27/4)(1)⁴ - (2.2/5)(1)⁵] - [(4.27/4)(0)⁴ - (2.2/5)(0)⁵]

[4.27/4 - 2.2/5] - [0]

E(X²) = 1.0675 - 0 = 1.0675 (rounded to four decimal places)

Now we can calculate Var(X):

Var(X) = E(X^2) - [E(X)]²

Var(X) = E(X^2) - [E(X)]²

Var(X) = 1.0675 - (0.6)²

Var(X) = 1.0675 - 0.36

Var(X) = 0.7075

Therefore, Var(X) is approximately 0.7075.

Therefore:

(i) P(X < 1/2) is approximately 0.5333.

(ii) Var(X) is approximately 0.7075.

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Answer: C

Step-by-step explanation:

Slope is the number right in front of x, which in this case would be -2. So C is the answer.

Creating a table is hard, so I'll try my best. Just pretend the vertical line is connected.

x|y

0|5

1|3

2|1

3|-1

4|-3

Answer:

x = 1/2

Step-by-step explanation:

28x + 1 = 32x - 1 <== subtract 28x from both sides

-28x      -28x

1 = 4x - 1 <== add 1 to both sides

+ 1      + 1

2 = 4x <== divide both sides by 4 to isolate the variable

/4   /4

1/2 = x

Hope this helps!

\( \Large{\boxed{\sf x = \dfrac{1}{2} }} \)

\( \\ \)

Given equation:

\( \sf 28x + 1 = 32x - 1 \)

\( \\ \)

Subtract 28x from each side :

\( \sf 28x + 1 - 28x = 32x - 1 - 28x \\ \\ \sf 1 = 4x - 1 \)

\( \\ \)

Add 1 to both sides:

\( \sf 1 + 1 = 4x \\ \\ \sf 2 = 4x \)

\( \\ \)

Divide both sides by 4:

\( \sf \dfrac{2}{4} = \dfrac{4x}{4} \\ \\ \\ \boxed{\boxed{\sf x = \dfrac{1}{2} }} \)

\( \\ \\ \)

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Step-by-step explanation:

Use z-score table to find the z-score that corresponds to .7000   ( 70%)

approx   .525   s.d.  above the mean

  .525  * 10 =  5.25  points above 100   = 105.25

Answer: 8

Step-by-step explanation:

Answer:

The vertex is option C: (-6, -2)

Step-by-step explanation:

The equation for a parabola is y = a(x – h)² + k where h and k are the y and x coordinates of the vertex, respectively. Thus, the vertex is (-6,2)

Pls mark brainliest.

Answer:

A-33(PAY) OR 33(P)

B-33 x pay or 33 x p

C-hours(33)or H(33)

D-pay(33) or p(33)

its D is correct hope this helps

The equation showing the relationship between the number of days and cost of the trip is y = 25x.

The formula of a linear function is:

y = mx + b;

where y,x are variables, m is the slope of the line and b is the y intercept (value of y when x is 0)

Let x represent the length of trip and y represent the amount of money.

From the table, taking two pair of points: (3, 75) and (6, 150), the equation is:

\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-75=\frac{150-75}{6-3}(x-3) \\\\y-75=25(x-3)\\\\y=25x\)

Hence the equation showing the relationship between the number of days and cost of the trip is y = 25x.

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Answer:

420 69

Step-by-step explanation:

620 +90 = 42069

Answer: C. are perpendicular

Step-by-step explanation:

I took the test and got it right

The average velocity over the given time intervals =  (y(1.001) - y(1)) / (1.001 - 1) ,  (y(2) - y(1)) / (2 - 1) ,(y(1.5) - y(1)) / (1.5 - 1).

To find the average velocity over the given time intervals, we need to calculate the displacement and divide it by the time interval.

(i) [1, 2]:

Displacement = y(2) - y(1)

= (10(2) - 1.86(2)²) - (10(1) - 1.86(1)²)

Average velocity = Displacement / Time interval

= (y(2) - y(1)) / (2 - 1)

(ii) [1, 1.5]:

Displacement = y(1.5) - y(1)

Average velocity = Displacement / Time interval

= (y(1.5) - y(1)) / (1.5 - 1)

(iii) [1, 1.1]:

Displacement = y(1.1) - y(1)

Average velocity = Displacement / Time interval

= (y(1.1) - y(1)) / (1.1 - 1)

(iv) [1, 1.01]:

Displacement = y(1.01) - y(1)

Average velocity = Displacement / Time interval

= (y(1.01) - y(1)) / (1.01 - 1)

(v) [1, 1.001]:

Displacement = y(1.001) - y(1)

Average velocity = Displacement / Time interval

= (y(1.001) - y(1)) / (1.001 - 1)

(b) To estimate the instantaneous velocity when t = 1, we can calculate the derivative of y(t) with respect to t and evaluate it at t = 1. This will give us the instantaneous velocity at that specific time.

Velocity = dy/dt

= d(10t - 1.86t²)/dt

Evaluate this expression at t = 1 to estimate the instantaneous velocity.

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Answer:

7238 units^3

Step-by-step explanation:

The formula for the volume of a sphere of radius 12 units is

V = (4/3)(pi)r^3.  

Here, with r = 12 units,

V = (4/3)(pi)(12 units)^3 = 7238 units^3

Answer:

V = 2304π units³

Step-by-step explanation:

V = (4/3)πr^3

V = (4/3)π(12)^3

V = (4/3)π(1728)

V = 2304π units³

Answer:

B) 9

Step-by-step explanation:

Because there's a square between the 2 angles, that means these angles are complementary (angles that add up to 90°). So:

5x - 9 + 6x = 90

11x - 9 = 90

11x = 90 + 9

11x = 99

x = 9

Answer:

B.9

Step-by-step explanation:

The way to solve this is by noticing that these angles are complementary(they add up to 90 degrees). So you add the equations together and equal them to 90. 5x-9+6x=90.Then you solve to find that x=9.

The correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A correlation coefficient measures the strength and direction of the relationship between two variables. In this case, the correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A positive correlation means that as one variable (in this case, happiness) increases, the other variable (GPA) also tends to increase. The magnitude of the correlation coefficient, which ranges from -1 to 1, represents the strength of the relationship. A value of 0.90 indicates a very strong positive linear correlation, suggesting that there is a consistent and significant relationship between happiness and GPA.

This means that as the level of happiness increases among high school students, their GPA tends to be higher as well. The correlation coefficient of 0.90 suggests a high degree of predictability in the relationship between these two variables.

It is important to note that correlation does not imply causation. While a strong positive correlation indicates a relationship between happiness and GPA, it does not necessarily mean that one variable causes the other. Other factors or variables may also influence the relationship between happiness and GPA.

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Answer:

Pete worked for 4 hours.

Step-by-step explanation:

If you subtract his tips from his overall total (50-16) you get 34. Now you divide what's left of his total by his hourly wage (34/8.5) which gets you 4.

Answer:

coco melon

Step-by-step explanation: