(6.8 x10^2) x (1.3 x10^-3)

Answer:

-3

Step-by-step explanation:

The slopes of parallel lines are equal.

If two lines are parallel (that means they are at the same angle, they are always the same distance apart and they never cross), then they have the same slope. Both lines have slope -3

Answer:

-3

Step-by-step explanation:

There is a rule in math that if two slopes are parallel, they must have the same slope. Let's answer the question with this first.

So AB is parallel to CD, meaning they must have the same slope. If AB's slope is -3, then so must CD's. That's the answer to the question.

Coming back to the parallel slope rule, why does this work? Well, if two lines are parallel, it means they never will touch each other, meaning they rise, fall, bend, curve, etc... at the same rate. The slope is the change in how much the line rises divided by the change in how much it runs (moves horizontally). That proves the rule.

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Answer:

C. is your answer nwow.

Step-by-step explanation:

Average speed of train B is 60 mph.

To find average speed of train B:

Let average speed of train B = x mph.

Based on information provided to us it is said average speed of train A is 20 mph more than B.

Average speed of train A = (x + 20) mph.

Speed = Distance/ Time

The time taken by both trains will be the same since they cover their respective distances in the same time.

For train A:

Speed of train A = (x + 20) mph

Distance covered by train A = 240 miles

Time taken by train A = Distance / Speed = 240 / (x + 20) hours

For train B:

Speed of train B = x mph

Distance covered by train B = 180 miles

Time taken by train B = Distance / Speed = 180 / x hours

Since the time taken by both trains is the same, we can set up an equation:

240 / (x + 20) = 180 / x

240x = 180(x + 20)

240x = 180x + 3600

240x - 180x = 3600

60x = 3600

x = 3600 / 60

x = 60

Therefore, the average speed of train B is 60 mph.

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Answer:

Step-by-step explanation:

This is about understanding real and complex numbers.

Complex Numbers; 7 - 5i, √-6, 0 + 9i, , -i² + i³

Real Numbers; i⁶, 2 - 7i², -12, √(-5)²

Let's first define real and complex numbers.

The. expressions we are given are;

i⁶, 2 - 7i², 7 - 5i, √-6, 0 + 9i, -12, √(-5)², -i² + i³

       2 - 7i² = 2 - 7(-1) = 9 which is a real number.

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The linear function y = 2.5m + 20 shows the number of miles Emma drives.

In mathematics, the term linear function refers to two distinct but related notions: In calculus and related areas, a linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.

For this question, we can represent the cost of renting the truck if Emma were to drive m miles.

For a standard linear function, it can be represented as y = mx + cm = slope c = intercept

We can use this concept to write a linear function to represent this problem as:

y = mx + c

25 = 2.50 (2.0) + c

25 = 5 + c

= 20

The equation to represent the number of miles m Emma drives can be written as y = 2.5m + 20

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P(X = 7), λ = 6: The Poisson probability of X = 7, with a parameter (λ) value of 6, is 0.1446. P(X = 11), λ = 12: The Poisson probability of X = 11, with a parameter (λ) value of 12, is 0.0946. P(X = 6), λ = 8: The Poisson probability of X = 6, with a parameter (λ) value of 8, is 0.1206.

The Poisson probability is used to calculate the probability of a certain number of events occurring in a fixed interval of time or space, given the average rate of occurrence (parameter λ). The formula for Poisson probability is P(X = k) = (e^-λ * λ^k) / k!, where X is the random variable representing the number of events and k is the desired number of events.

To calculate the Poisson probabilities in this case, we substitute the given values of λ and k into the formula. For example, for the first case (a), we have λ = 6 and k = 7: P(X = 7) = (e^-6 * 6^7) / 7!

Using a calculator, we can evaluate this expression to find that the probability is approximately 0.1446. Similarly, for case (b) with λ = 12 and k = 11, and for case (c) with λ = 8 and k = 6, we can apply the same formula to find the respective Poisson probabilities.

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Answer:

x = 350 gallons (amt of 60% solution that must be added)

Step-by-step explanation:

Amt of 60% solution = x gallons ; Amt of active ingredient = 0.6x gallons

Amt of 15% solution = 100 gallons ; Amt of active ingredient = 15 gallons

Amt of 50% solution = 100+x gallons ; Amt of active = 50 + 0.5x gallons

EQUATION:

Active ingredient: 0.60x + 15 = 50 + 0.50x

0.10x = 35

x = 350 gallons (amt of 60% solution that must be added)

Answer: i don't really know how you want me to solve it

Use the formula x =−b/2a (b over 2a)

(1 second

to find the maximum and minimum.

6t^(2 )+ 12t + 30

which should give you this answer

6(t2+2t+5)

what i did was factor 6 out of 6t^(2 )+ 12t + 30

Answer: 1 second

Step-by-step explanation:

There are two ways to solve this:

1. Graph it. You will see an inverted parabola with time (in seconds) on the x axis and height (in feet) on the y axis. The top of the parabola is point (1, 36) which means at 1 second the ball will be at 36 feet. Since the balcony is at 30 feet, the ball only goes up 6 feet before it changes direction toward the ground.

2. Take the first derivative and set it equal to zero. The first derivative will give us the slope, or rate of change, of the parabola for any point t (on the x-axis). The rate of change when the ball reaches its maximum height will be zero, when it goes from a positive value (going up) to a negative value (going down).

-6t^2 + 12t + 30

First derivative = h'(t) = -12t + 12

Set h'(t) to zero: 0 = -12t + 12

t = 1 second

Either way works. Put 1 second into the original equation and it will return 36 feet. That's 36 feet aboove ground. 6 feet above the balcony from which it is thrown. You can throw better then that, I assume.

Answer: x = -5

Step-by-step explanation: The green x's represent positive x's, the yellow 1s represent positive numbers, and the red 1s represent negative numbers. So if you count everything your equation should look like 5x + 4 = -21. First you want to do the opposite of the plus 4, which is subtracting 4. That way the x is by itself on the left side of the equal sign. But what you do to one side you have to do to the other. So then you subtract 4 from -21. But because 21 is already negative it would equal -25. Now your equation should look like 5x = -25. Just divide by 5 for both sides and your x equals -5.

The original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.

To show that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves, we need to take the derivative of the equation and set it equal to -1/b^2, the slope of the orthogonal line.

First, we take the derivative of the equation with respect to x:

2x/a^2 = -2y/b^2 * dy/dx

Simplifying, we get:

dy/dx = -b^2*x/a^2*y

Now, we set this equal to -1/b^2:

-b^2*x/a^2*y = -1/b^2

Cross-multiplying and simplifying, we get:

x/a^2*y = 1/b^2

Finally, we can rearrange this equation to get:

y = b^2*x/a^2

This equation represents the orthogonal family of curves to the original family of conics. Since the original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.

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For given conditional statement 'If the object has a remote, then it is a television.'

Part A: converse to the conditional statement

'If it is a television, then the object has a remote.'

Part B: a biconditional statement

'The object has a remote if and only if it is a television.'

Part C: validation of biconditional statement

The biconditional statement is true because the conditional statement and the converse are true.

In this question, we have been given a conditional statement: 'If the object has a remote, then it is a television.'

Part A:

We need to write the converse to the conditional statement.

The converse of given conditional statement would be:

'If it is a television, then the object has a remote.'

Part B:

We need to write a biconditional statement from the conditional statement.

A biconditional statement of the given conditional statement would be:

'The object has a remote if and only if it is a television.'

Part C:

We need to validate the above biconditional statement.

The biconditional statement is true because the conditional statement and the converse are true.

Therefore, for given conditional statement 'If the object has a remote, then it is a television.'

Part A: converse to the conditional statement

'If it is a television, then the object has a remote.'

Part B: a biconditional statement

'The object has a remote if and only if it is a television.'

Part C: validation of biconditional statement

The biconditional statement is true because the conditional statement and the converse are true.

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Answer:

2 + 2 = 4

Step-by-step explanation:

The question you asked is a simple arithmetic ( addition precisely). Addition is the sum of two or more numbers.

2 + 2 = 4

Depending on your level, you can use counting method ( or the tally system) to get the answer.

2 + 2 = 4

II  + II = IV

I hope this helps you!

Answer:

NO

Step-by-step explanation:

Answer: Try A; 13 units

Step-by-step explanation:

count the number of units

Answer:

A, B, C

Step-by-step explanation:

Since the sum of the angles in a triangle is \(180^{\circ}\), you can set the equation \(9x-7+7x-9+28-2x\). Simplifying gets \(14x=168\). Dividing gets you \(x = 12\). This is only x so you have to substitute 12 for x in the angles in the beginning to get \(\angle{A}=101^{\circ}\), \(\\\angle{B}=75^{\circ}\), \(\\\angle{C}=4^{\circ}\)

Step-by-step explanation:

To find probability ratio wise

Sports Cars: Total Cars

3 + 3 + 2 = 8 total cars

2 sports cars

Ratio is 2:8

Reduces to 1:4

The square root of 36 is:

The principal square root is teh non-negative number.

Thus the principal square root is 6.

The arrangement of the lengths from the least to greatest is;

CF < FD <  CE < EF < CF < CD

The arrangement of side lengths of the triangle is calculated by applying the following formula as follows;

The greater the angle opposite to side length of a triangle, the greater the measure of the side length.

angle opposite CE = 180 - ( 54 + 75 ) = 51⁰

angle opposite CD = 180 - 51⁰ = 129⁰

angle opposite FD = 180 - (22 + 129) = 29⁰

The arrangement of the lengths from the least to greatest is;

CF < FD <  CE < EF < CF < CD

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The correct statement about the stock market is: Over time, the stock market averages 6-7% growth per year.

Here the question is asking which of the statements about the stock market is true.

We are given four assertions and must determine which one is correct.

Identify the false statements:

Statement 1 may be removed since a bear market is one in which stock values are going downwards rather than upwards. Similarly, assertion 4 is inaccurate since stocks are not low-risk short-term investments, and short-term trends are not always predictable.

Analyze statement 2:

We cannot confirm whether the stock market has been in a bull market for the last 20 years since it depends on which stock market we are referring to and the time period in question.

Therefore, we cannot accept this statement as being true.

Analyze statement 3:

This statement is accurate since historically, the stock market has returned an average of 6-7% growth per year over the long-term. However, it is essential to note that the stock market can be volatile in the short-term, and there is always the risk of losing money.

Now,

Choose the correct statement:

After analyzing all the statements, we can conclude that statement 3 is true.

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Answer:

y = 1/5x + 3

Step-by-step explanation:

y = mx + b

m: slope = 1/5

b: y - intercept

(x, y): (-5, 2)

2 = 1/5(-5) + b

2 = -1 + b

add 1 to both sides to get b alone

2 + 1 = -1 + b + 1

3 = b

Answer:

y = - \(\frac{2}{5}\) (x - 5)² + 7

Step-by-step explanation:

The equation of a quadratic in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (5, 7 ) , then

y = a(x - 5)² + 7

To find a substitute (10, - 3 ) into the equation

- 3 = a(10 - 5)² + 7 ( subtract 7 from both sides )

- 10 = 5²a = 25a ( divide both sides by 25 )

\(\frac{-10}{25}\) = a , that is

a = - \(\frac{2}{5}\)

y = - \(\frac{2}{5}\) (x - 5)² + 7 ← in vertex form

Answer:

8

Step-by-step explanation:

|6x| - |- 2y|

Let x = -3 and y = 5

|6*-3| - |- 2*5|

|-18| - |-10|

Taking the absolute values

18 - 10

8

Answer:

4π + 33 or 45.6

Step-by-step explanation:

For this question, you need to identify the perimeter of the semicircle and the 3 sides of the trapezoid.

The perimeter of the semicircle would be (this is the equation for a circle divided by two):

(2πr)/2 or (πd)/2

To figure this out, you don't need to know the radius, because you can just use the diameter, in which case if you plug it in you would get:

(8π)/2

→ 4π

Now you would just add the perimeter of the semicircle to the perimeter of the 3 sides of the trapezoid to get:

4π + (10+13+10)

→ 4π + 33

Now all you'd need to do is round 4π to the tenths place to get:

12.6 + 33

→ 45.6

Answer:

b

Step-by-step explanation:

3x1it gives 3

6x1it gives 6

so 3x6 so

it gives

18

Answer:

30

Step-by-step explanation:

4x = 90 + x

4x - x = 90

3x = 90

x = 90/3

x = 30

Answer:

8x10x

Step-by-step explanation:

Answer:

hi is this correct please let me know

Step-by-step explanation:

4x

4

+91x

2

−225=0

Substitute t for x

2

.

4t

2

+91t−225=0

All equations of the form ax

2

+bx+c=0 can be solved using the quadratic formula:  

2a

−b±

b

2

−4ac

​

​

. Substitute 4 for a, 91 for b, and −225 for c in the quadratic formula.

t=

2×4

−91±

91

2

−4×4(−225)

​

​

Do the calculations.

t=

8

−91±109

​

Solve the equation t=

8

−91±109

​

 when ± is plus and when ± is minus.

t= 49

​

t=−25