e + a = ?; where e and a are corresponding angles.

e = 55°

Answer:

The 2 numbers are 42 and 91.

Step-by-step explanation:

Let one number be x, then the other is 133-x.

So as the difference is 49 we have:

133 - x - x = 49

-2x = 49 - 133

-2x = -84

x = -84/-2 = 42.

The numbers are 42 and 133 - 42 = 91.

Answer:

let the numbers be x and y.

x+y=133......(i)

x-y=49.......(ii)

solving eqn (i) and (ii) we get,

x+y=133

x-y=49

we solved it through elimination method.

Here, y and y cancelled out so, we've,

or, 2x=182

so, x=91

now putting value of x in any of the eqn.

in eqn(i)

or, x+y=133

or, 91+y=133

or, y=133-91

so, y=42

Therefore, the two numbers are 91 and 42.

Thank you.

The function f(x) = -2|x - 3| + 2 involves a horizontal shift of 3 units to the right, a vertical reflection, and a downward stretch. Its domain is all real numbers, and its range is all real numbers less than or equal to 2.

The function f(x) = -2|x - 3| + 2 is a transformation of the basic absolute value function f(x) = |x|. Let's analyze the transformations and then graph both functions.Transformations:

1. Shifting: The function f(x) = -2|x - 3| + 2 involves a horizontal shift of the absolute value function f(x) = |x|. The term (x - 3) inside the absolute value causes a shift of 3 units to the right.

2. Reflecting: The negative sign in front of the absolute value function reflects the graph across the x-axis. It causes the function to be reflected vertically.

3. Compressing or stretching: There is no compression or stretching factor present in this particular function.

Graph of the basic function f(x) = |x|:

The graph of the basic function f(x) = |x| is a V-shaped graph that passes through the origin (0, 0). It has symmetry with respect to the y-axis.Graph of the given function f(x) = -2|x - 3| + 2:

To graph the given function, we start with the basic absolute value function f(x) = |x| and apply the transformations: a horizontal shift of 3 units to the right and a vertical reflection. The negative coefficient (-2) affects the amplitude, making the graph steeper.

Domain of f(x) = -2|x - 3| + 2:

The domain of the given function is all real numbers since there are no restrictions on the input values of x.

Range of f(x) = -2|x - 3| + 2:

The range of the given function is the set of all real numbers less than or equal to 2, as the vertical reflection and the coefficient (-2) cause the graph to be reflected and stretched downward.

Note: Without specific constraints on the values of x, the domain and range of the given function follow the typical domain and range of absolute value functions.

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Answer:

d

Step-by-step explanation:

up six and to the left 5. going left is nevative so its negative 6 over 5

Answer:

Step-by-step explanation:

728182×+b282=288282b

Combining negatively correlated assets with the same expected return results in a portfolio with the same level of expected return but a lower level of risk.

When assets have a negative correlation, their returns tend to move in opposite directions. By combining these assets in a portfolio, their negative correlation offsets each other's risks to some extent. As a result, the overall risk of the portfolio is reduced.

However, the expected return of the portfolio remains the same as the individual assets, assuming they have the same expected return. This is because the negative correlation does not affect the average return of the assets, only their volatility. The diversification benefits provided by negatively correlated assets help to reduce the overall risk of the portfolio, making it less volatile than the individual assets.

Therefore, combining negatively correlated assets with the same expected return results in a portfolio with the same level of expected return but a lower level of risk. This is a desirable outcome for investors as it allows them to achieve a certain level of return while minimizing the overall risk in their investment portfolio.

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Answer:

(8, 4)

Step-by-step explanation:

i hope this helps :)

Answer: false

Step-by-step explanation:

the correct answer is a. likely to be due to true differences between the groups.

If we say we have statistically significant results, it means that the results are likely to be due to true differences between the groups. Statistical significance is a term used in hypothesis testing to determine if the observed differences between groups are likely to be real and not due to chance.

When conducting a statistical analysis, researchers compare the data from different groups or samples to see if there is a significant difference between them. This involves calculating a p-value, which represents the probability of obtaining the observed results if there were no true differences between the groups.

If the p-value is less than a predetermined threshold, typically 0.05, then the results are considered statistically significant. This means that the likelihood of obtaining the observed results by chance alone is very low, and it is more likely that the differences between the groups are due to a real effect.

For example, let's say we conduct a study to compare the effectiveness of two different treatments for a medical condition. If we find that the p-value is less than 0.05, we can conclude that there is a statistically significant difference between the treatments, and the observed improvement in one group is likely to be due to the treatment itself rather than random chance.

In summary, when we say we have statistically significant results, it means that the observed differences between groups are likely to be due to true differences rather than chance. This provides evidence for the presence of a real effect or relationship between the variables being studied.

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Answer:

-15

-11

5

9

13

hope this help <3 can i have brainly?:)

Step-by-step explanation:

Answer:

-15

-11

5

9

13

Step-by-step explanation:

Just plug in what x is.

h(-4) = 4(-4) + 1

h(-4) = -16 + 1

h(-4) = -15

h(-3) = 4(-3) + 1

h(-3) = -12 + 1

h(-3) = -11

h(1) = 4(1) + 1

h(1) = 4 + 1

h(1) = 5

h(2) = 4(2) + 1

h(2) = 8 + 1

h(2) = 9

h(3) = 4(3) + 1

h(3) = 12 + 1

h(3) = 13

Hope this helps!!

Answer:

steps 4 and 5

Step-by-step explanation:

i think

Answer:

idrk

Step-by-step explanation:

B. 0.75 or 75% of the people did not win the raffle because only 25% won.

The percentage is the ratio or proportion of an outcome.

The percentage shows the numerical relationship between two or more variables or values.

Percentages are expressed over 100 to show they are fractional values.

The total number of people who enter a raffle = 60

The number of people who win a prize = 15

The number of people who did not win the raffle = 45 (60 - 15)

The percentage of those who did not win = 0.75 (45/60)

= 75%

The percentage of people who win a prize = 25% (1 - 0.75)

Thus, the result shows that only 75% of the people won the raffle.

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The rate at which the volume is decreasing when the height is 1 cm is -1800π cm³/hr.

Given that the block of ice is in the shape of a right circular cone with a radius of 30 cm and a height of 10 cm. It starts melting in a uniform way, preserving its shape and proportions. The height is decreasing at a rate of 2 cm/hr. We need to find the rate at which the volume of the cone is decreasing when the height is 1 cm.

Let's first calculate the volume of the cone. We know that the volume of a cone is given by;V = (1/3)πr²h

Where,V is the volume of the cone.r is the radius of the cone.h is the height of the cone.

Substituting the given values, we get;V = (1/3)π(30)²(10)V = 9000π cm³Now, we need to find dV/dt when h = 1 cm.

Using chain rule of differentiation, we can write; dV/dt = dV/dh × dh/dt Now, dV/dh can be calculated as;dV/dh = πr²(1/3)×(d/dh)(h²) dV/dh = πr²(1/3)×(2h) dV/dh = (2/3)πr²h

Now, substituting the given values, we get;dV/dh = (2/3)π(30)²h

On substituting h = 1 in the above equation, we get;dV/dh = (2/3)π(30)² = 900π cm³/hr

This gives us the rate at which the volume is decreasing with respect to height.Now, we need to find dh/dt when h = 1 cm.dh/dt = -2 cm/hr (Negative sign indicates that the height is decreasing)

Using the product rule of differentiation, we can write; dV/dt = dV/dh × dh/dt dV/dt = (2/3)π(30)²(1)×(-2) dV/dt = -1800π cm³/hr

Therefore, the rate at which the volume is decreasing when the height is 1 cm is -1800π cm³/hr.

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Answer:

-7 ≤ y ≤ 2

Step-by-step explanation:

The range is the y of the graph.

We just need to find the lowest point of the y and the highest point of the y.

In this case, it is -7 & 2.

So, our range of the graph is

-7 ≤ y ≤ 2

Answer: %0.00100010001

Step-by-step explanation:

The equation given as -y = 3x is a direct variation. The constant of variation is - 1/3

It shows the relationship between two variables that can be described mathematically by an equation where one variable equals a constant multiplied by the other.

A straightforward correlation between two variables is referred to as direct variation. In this case, the constant of variation will be k.

This will be Illustrated as:

y = kx

-1 = 3k

Divide

k = -1/3

The constant is - 1/3.

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Answer:

D. reflect across the y-axis  and translate right 1 unit

Step-by-step explanation:

Step-by-step explanation:

Notice the vertex and focus have the same y coordinate so this means we will have sideways parabola.

Equation of a sideways parabola is

\((y - k) {}^{2} = 4p(x - h)\)

Since the vertex is (0,0), we can get rid of h and k.

\( {y}^{2} = 4px\)

Next Section: Value of P:

The value of P is the displacement between the focus and vertex.

So we do

\(p = x _{focus} - x _{vertex}\)

\( p = - 6 - 0\)

\(p = - 6\)

\( {y}^{2} = 4( - 6)x\)

\( {y}^{2} = - 24x\)

or

\( - \frac{ {y}^{2} }{24} = x\)

\(\text {Hi! Let's Solve this Problem!}\)

\(\text {Since we are rounding to the nearest hundred we are going to look at the 1}\)

\(\text {We underline the 1 in the hundreds place}\)

\(\text {2} \underline {1} \text {42}\)

\(\text {After we underline the 1 we point an arrow at 4}\)

\(\text {Remember that the number 5 and above we'll round up.}\)

\(\text {Numbers 4 and below you round down.}\)

\(\text {Compare:}\)

\(4<5\)

\(\text {Since 5 is the largest number we round down since 4 is smaller than 5.}\)

\(\text {So this means that 2,142 rounded to the nearest hundred is}\)

\(\fbox {2,100}\)

\(\text {All numbers after 1 becomes 0}\)

\(\text {If we were to round up then our answer would of been 2,200}\)

\(\text {Best of Luck!}\)

\(\text {-LimitedX}\)

Answer:

No, The line x = 3 is not parallel to the line y = 1/3

Step-by-step explanation:

Here's What the graph looks like on Demos graphing calculator.

High Hopes^^

Barry-

To solve this question, just divide.

49/60 = 0.81666666666

= 82%

Answer:

Crissy's percentage is 82% (81.67% rounded).

Step-by-step explanation:

1. 49 / 60 = 0.82 (0.81666 rounded)

2. 0.82 x 100

3. 82%

The additive inverse of the complex number -12 + 4i is 12 - 4i

The complex number is given as:

-12 + 4i

The additive inverse of a complex number a + bi is -a - bi

This means that the additive inverse of -12 + 4i is 12 - 4i

Hence, the additive inverse of the complex number -12 + 4i is 12 - 4i

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Answer:

It's C

Step-by-step explanation:

For the given lottery daily game, total number of choices player have to pick for three numbers from 0 to 9 where order does not matter is equal to 120.

As given in the question,

Total number have to pick by a player in a lottery daily game is equal to 3

Numbers  from which player have to pick the three numbers is 0 to 9

Total numbers from which player have to pick the three numbers = 10

Given condition : Order of the number does not matter

Total number of choices to pick three numbers from 0 to 9

= ¹⁰C₃

= ( 10! ) / ( 10 - 3 )! (3!)

= 10! / 7! 3!

= ( 10 × 9 × 8 × 7! ) / ( 7!) ( 3 × 2 × 1 )

= 10 × 3 × 4

=120 choices

Therefore, for the given lottery daily game, total number of choices player have to pick for three numbers from 0 to 9 where order does not matter is equal to 120.

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Answer:

Step-by-step explanation:

8 x 8 x 8 x 8 x 8

= 8² + 8²

=8²+²

=8^5

Answer:

0% chance

Step-by-step explanation:

there are no green marbles

Marbles no

There is no green marbles

So it will never occur(impossible event)

Thus, 420 fish were ultimately caught, with 6x standing in for "6 times as much."

x + y = 420; y = 6x

Thus, 420 fish were ultimately caught, with 6x standing in for "6 times as much."

The smallest and largest fish range in size from 1 cm to 18 m. 18 m then equals 18 x 100 or 1800 cm. ∴ The length of large fish exceeds that of little fish by 1800 times.

The number of parrotfish Carlos purchased is represented by the variable y, whereas the number of angelfish Carlos purchased is represented by the variable x.

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The equation of the line tangent to the graph of f(x)=3sin(x)−2cos(x) at x=−π is given by; \(y=-150(x+\pi)+3\)

Explanation: The formula for the line tangent to a curve y=f(x) at the point (x0,f(x0)) is given by \(y-f(x_0)=f'(x_0)(x-x_0)\)

where f'(x) is the derivative of the function f(x) and evaluates to f'(x)=3cos(x)+2sin(x).

Hence the line tangent to the curve f(x)=3sin(x)−2cos(x)

at x=−π can be written as:

\(y-f(-\pi)=f'(-\pi)(x+\pi)\)\(y+2

                 =f'(-\pi)(x+\pi)\)

Now, \(f'(-\pi)=-3\)since \(f'(-\pi)

                         =3cos(-\pi)+2sin(-\pi)

                         =-3\)

Thus, \(y+2=-3(x+\pi)\)

Solving for y;\(y=-3(x+\pi)-2\)

Expanding, \(y=-3x-3\pi-2\)

Finally, rearranging the terms; \(y=-3x-3\pi+2\)

Simplifying, \(y=-3(x+\pi)+3\)

Multiplying through by -50 gives; \(y=-150(x+\pi)+150\)

Hence the equation of the line tangent to the graph of f(x)=3sin(x)−2cos(x) at x=−π is given by;\(y=-150(x+\pi)+3\)

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Answer:

Step-by-step explanation:

A: $0.1(x) + 25(y) = x + 25

B: $0.05(x) + $40(y) = x + 40

Because they didn't give a certain amount of miles traveled, we have to go with we do know.

**this is probably wrong.

Answer:

(0,2) - (2,0) - (4,-2)

Step-by-step explanation:

You have the following straight line:

\(y=-x+2\)   (1)

You can plot the y-intercept point, the x-intercept point and another one.

The y-intercept is obtained by doing x=0:

y=-+2=2

y-intercept = 2

the x-intercept is obtained by doing y=0 and solving for x:

0=-x+2

x=2

x-intercept = 2

another point can be for x = 4:

y=-4+2=-2

Then, the points to plot are

(0,2) - (2,0) - (4,-2)

The graph is attached in the image below.

Observe that

\(x^2 + 3x + 1 = (x^2 + 4x + 4) - x - 3 \\\\ ~~~~~~~~ = (x + 2)^2 - x - 3 \\\\ ~~~~~~~~ = (x + 2)^2 - (x + 2) - 1\)

so that

\(P(x+2) = (x+2)^2 - (x+2) - 1 \implies P(x) = x^2 - x - 1\)

Then

\(P(x - 1) = (x-1)^2 - (x-1) - 1 \\\\ ~~~~~~~~ = (x^2 - 2x + 1) - (x - 1) - 1 \\\\ ~~~~~~~~ = \boxed{x^2 - 3x + 1}\)

Alternatively, we can avoid find \(P(x)\) altogether and instead first write \(x-1\) in terms of \(x+2\) :

\(x - 1 = (x - 1) + 2 - 2 = (x + 2) - 1 - 2 = (x + 2) - 3\)

Then

\(P(x - 1) = P((x + 2) - 3) \\\\ ~~~~~~~~ = (x - 3)^2 + 3 (x - 3) + 1 \\\\ ~~~~~~~~ = x^2 - 3x + 1\)