How to solve 5x^2-45=0​

Answer:

D

Step-by-step explanation:

(5√2 - 4√3)^2 =

50 + 48 - 40√6 = 98 - 40√6

Answer:

I believe it should be the second answer

9514 1404 393

Answer:

  0.28 -0.95i

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

  \(\dfrac{4-3i}{4+3i}=\dfrac{(4-3i)(4-3i)}{(4+3i)(4-3i)}=\dfrac{7-24i}{25}=\boxed{0.28-0.96i}\)

_____

Additional comment

If the original number is A∠β, the ratio is 1∠(2β), the square of the unit vector in the same direction as the original.

Answer:

9

Step-by-step explanation:

Answer:

it's 9

hope u have a good day

Answer: 11k + 16 and 7k + 4k + 16

Step-by-step explanation: if we distribute the 4 first we get

7k+4k+16

we can aslo combine the k's to get

11k+16

hope this is helpful (^_^)

Answer:

\( 24 {e}^{2} + 24e - 48\)

3rd answer is correct

Step-by-step explanation:

\((6e - 6)(4e + 8) \\ 6e(4e + 8) - 6(4e + 8) \\ 24 {e}^{2} + 48e - 24e - 48 \\ 24 {e}^{2} + 24e - 48\)

Hope this helps you.

Let me know if you have any other questions :-):-)

Answer:

10 13/16

Step-by-step explanation:

Answer:

15 pennies

Step-by-step explanation:

lost means subtract and gave him means add

21 -11 +5

15

Answer:

15 pennies

Step-by-step explanation:

You can start by saying that after losing 11 pennies from his original amount it is 21-11, which equals to 10.

THen the question says that his friend gives him an additional 5  pennies, which is shown by 10+5=15

THerefore, all you had to do was use the information given and add or subtract the number of pennies from the original.

Answer: 15 pennies

Hope this helped

Answer:

\(33 units^{2}\)

I counted the squares.

Answer:

distance = sqrt((x2-x1)^2 + (y2-y1))

distance = sqrt((7-13)^2 + (10-2)^2)

distance = sqrt( -6^2 + 8^2)

distance = sqrt(36+64)

distance = 10

Step-by-step explanation:

Answer:

10 units

Step-by-step explanation:

d = \(\sqrt{(x2 - x1)^2 + (y2 - y1)^2}\)

d = \(\sqrt{(13 - 7)^2 + (2 - 10)^2}\)

d = \(\sqrt{(6)^2 + (-8)^2}\)

d = \(\sqrt{36 + 64}\)

d = \(\sqrt{100}\)

d = 10 units

Since Ted is building a garden in his yard and the measures one side of his yard and finds it 12 meters, the measurement which Ted found include the following: B) Length.

Mathematically, the perimeter of a rectangular shape can be calculated by using this mathematical expression;

P = 2(L + W)

Where:

By re-writing the perimeter of a rectangle formula, we have the following:

Perimeter of a rectangle, P = 2L + 2W

In this context, we can reasonably infer and logically deduce that the length (one side) of Ted's yard is equal to 12 meters.

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Complete Question:

Ted is building a garden in his yard he measures one side of his yard and finds it 12 meters. which measurement did Ted find?

A) Area

B) Length

C) Perimeter

answer:

115 degrees

explanation:

1)

12x+55=23x

55=11x

5=x

2)

23(5)

115

The Aztec Empire was much larger than the state of Ohio, with an estimated area of around 80,000 square miles at its peak.

This vast empire encompassed much of central Mexico and included cities such as Tenochtitlan, the capital of the Aztec Empire. The area of Ohio is approximately 44,825 square miles, not 4,000 square miles. At its peak, the Aztec Empire covered an area of about 80,000 square miles. To compare the two:

1. Note the area of Ohio: 44,825 square miles
2. Note the area of the Aztec Empire at its peak: 80,000 square miles
3. Compare: The Aztec Empire was larger, covering nearly 1.78 times the area of Ohio.

In conclusion, the Aztec Empire was significantly larger than the state of Ohio at its peak, with an area estimate of around 80,000 square miles.

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To factor quadratics with leading coefficients other than 1, you can follow these steps:

Check your factoring by expanding the factored form to see if it simplifies back to the original quadratic equation.

Remember that factoring quadratics with leading coefficients other than 1 may involve more complex algebraic techniques, and in some cases, the quadratic equation may not factor easily. In such cases, you can resort to using the quadratic formula to find the roots of the equation.

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Answer: 236.588 milliliter

Step-by-step explanation: for an approximate result, multiply the volume value by 29.574

Answer:236.588 ml

Step-by-step explanation:

Common stock on margin amount borrowed from the broker=8000

In the world of finance, the common stock margin is the security that a trader or exchange requires an investor to place with them in order to cover the credit risk the investor's position entails for them. If an investor borrows money from their broker to purchase financial instruments, borrows money to sell those same instruments for a loss, or enters into a derivative contract, credit risk is created. An investor who purchases an asset on margin does so by taking out a broker loan for the remaining amount. When an investor purchases an asset on margin, they make a smaller initial payment to the broker and put up collateral in the form of marginable assets in their brokerage account.The margin, in a broad commercial context, is the distinction between the selling price of a good or service and the

amount borrowed from the broker = 500 x 40 x (1- 0.6)

amount borrowed from the broker=8000

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The information that is needed to write the equation of a line in point-slope form is the location of one ordered pair that lies on the line and the line's slope. The correct option is the first option

From the question, we are to determine the information that is needed to write the equation of a line in point-slope form.

The point-slope form of a line is given as

y - y₁ = m(x - x₁)

Where, (x₁, y₁) is a point on the line

and m is the slope of the line

Thus, in order to write the equation of a line in the point-slope form, the information that are needed are:

1. An ordered pair on the line

2. The slope of the line

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x < 76 is the inequalities which represents the number of points Cedric's basketball team scored in their last game. Thus, option C is correct.

An algebraic inequality is a mathematical statement that links an expression to a value, a variable, or another expression using the inequality sign.

The display either shows equilibrium conditions that "include" the value. The line under the inequality denotes the phrase "or equal to". To illustrate this relationship, the circle on the number line is coloured in above this value. For inequality statements that do not include the qualifier "or equal to," the circle above the value on the number line is left empty.

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Answer:

(x+4)²-2

Step-by-step explanation:

The lowest point of the curve is -2 at x=(-4)

=> The vertex of the upwards facing parabola is (-4,-2)

So, the vertex has shifted from (0,0) (vertex of x²) to (-4, -2)

Using function transformation (translation),

f(x) = (x+4)²-2

Answer: 437,500 copies

Step-by-step explanation:

42,000 copies were sold in the first month and this is 9.6% of the total that have been sold till date:

To find the total that have been sold till date, assume the amount to be x.

Expression will be:

9.6%x = 42,000

x = 42,000 / 9.6%

x = 42,000 / 0.096

x = 437,500 copies

437,500 copies have been sold to date.

The temperature in Indiana can be calculated as 8°F + 12°F = 20°F. On that day, the temperature in Indiana was 20°F.

The temperature in Minnesota was 8°F on a certain day. On that same day, the temperature in Indiana was 12°F higher. To find the temperature in Indiana, we add the temperature difference to the temperature in Minnesota. In this case, the temperature difference is 12°F.

Therefore, the temperature in Indiana can be calculated as 8°F + 12°F = 20°F.

On that day, the temperature in Indiana was 20°F.

It's important to note that this calculation assumes a linear relationship between the temperatures in Minnesota and Indiana. However, temperature variations can be influenced by various factors such as location, weather systems, and local climate patterns. Thus, while this calculation provides an estimate, actual temperature conditions may differ due to these factors. For accurate and up-to-date temperature information, it is recommended to refer to reliable weather sources or meteorological data.

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oml, this is false. truely false!!

hope this helps ya! :)

Step-by-step explanation:

A semicircle  has  1/2 circumference of the full circle = 1/2 pi d

so the entire perimeter will be   1/2 ( pi)(30) + 10 + 10 + 20 = 87.1 cm

Interactions involving dummy variables can provide insights into the different effects of independent variables across categories.

1. Dummy variables are binary variables that represent categorical variables in a regression analysis. When interactions are included between dummy variables and other independent variables, it allows for differential effects of the independent variables based on the different levels of the categorical variable.

For example, let's consider a regression model to predict income based on education level and gender. We can include an interaction term between education level (represented by dummy variables for different levels) and gender. This interaction term allows us to examine whether the effect of education level on income differs between males and females. It helps capture any gender-specific differences in the relationship between education and income.

1.2 The linear probability model (LPM) is a common approach to estimate the probability of an event occurring using a linear regression framework. However, it has several problems:

1. The predicted probabilities from the LPM can fall outside the [0, 1] range: Since the LPM does not impose any restrictions on the predicted probabilities, they can sometimes exceed the valid probability range. This violates the assumption of probabilities being bounded between 0 and 1.

2. Heteroscedasticity: The LPM assumes constant error variance across the range of the predictors. However, in practice, the variability of the error term may change with different levels of the predictors, resulting in heteroscedasticity. This violates the assumption of homoscedasticity.

3. Non-linearity: The LPM assumes a linear relationship between the predictors and the probability of the event. However, this may not always be the case, and using a linear model can result in misspecification.

To remedy these problems, an alternative to the LPM is to use logistic regression or probit regression models. These models explicitly model the probability of an event occurring and address the issues mentioned above. They provide predicted probabilities that fall within the valid range of 0 to 1, account for heteroscedasticity, and allow for non-linear relationships between the predictors and the probability of the event.

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There are 6 possible outcomes for this experiment.

The total number of outcomes possible for an experiment of drawing two balls one after the other without replacing the first ball, depends on the number of possible outcomes for the first draw, multiplied by the number of possible outcomes for the second draw, given that the first ball was not replaced.

The total number of ways to choose one ball out of three is 3, and the number of ways to choose the second ball out of two remaining balls is 2. Therefore, the total number of outcomes possible for this experiment is 3 x 2 = 6.

The possible outcomes are:

(Red, Purple), (Red, Blue), (Purple, Red), (Purple, Blue), (Blue, Red) and (Blue, Purple)

It's important to notice that this method is called the Multiplication Rule for counting the total number of outcomes of two or more independent events.

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Therefore the solution of the given problem is  product of the equation is 3\(x^{3}\) + 12x.

The equals sign (=) must appear in an equation. You can think of an equation as having a left and a right side since there will be a mathematical expression on either side of it. Consider an equation to be a set of scales. Although you can use different amounts on either side, for it to be solved, each side must be equally balanced .An unknown will always be present in an algebraic equation. This is symbolized by a symbol, such x, y, or z.

Here,

We must calculate the product of 3x(\(x^{2}\) + 4).

In light of the query

Follow all of the instructions listed below to obtain the equation's product.

Equation; 3x(\(x^{2}\) + 4).

Then,

The product of the equation is,

=>3x(\(x^{2}\) + 4).

=>3\(x^{3}\) + 12x

Therefore the solution of the given problem is  product of the equation is 3\(x^{3}\) + 12x.

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Answer: The dividend yield on Stock A = 0.04

Step-by-step explanation:

Given: quarterly dividend = $0.15 per share

Annual dividend per share = 4 x 0.15 = $0.6  [1 year = 4 quarters]

Stock's price per share = $0.15

The computation of dividend is given by :-

Dividend yield = (annual dividend per share) divided by (the stock's price per share).

Here, Dividend yield = (0.6) ÷ 15 =  0.04

Hence, the dividend yield on Stock A = 0.04

The coordinates of the projection of point Q(-3, 5, 4) onto the xy-plane are (-3, 5, 0).

To find the projection of a point onto the xy-plane, we need to drop a perpendicular line from the point to the plane. This perpendicular line will intersect the plane at the projected point. The projected point will have the same x and y coordinates as the original point, but its z-coordinate will be zero since it lies on the xy-plane.

In this case, we have the point Q(-3, 5, 4), and we want to find its projection onto the xy-plane. Since the xy-plane is defined by the equation z = 0, the z-coordinate of the projected point will be zero.

Therefore, the coordinates of the projected point can be written as (x, y, z), where x and y are the same as the coordinates of the original point, and z is zero.

For point Q, the x-coordinate is -3, the y-coordinate is 5, and the z-coordinate of the projected point is 0. Hence, the coordinates of the projected point are (-3, 5, 0).

To visualize this, imagine a vertical line dropping from the point Q(-3, 5, 4) down to the xy-plane. The point where the line intersects the plane will have the same x and y coordinates as Q, but its z-coordinate will be zero.

In conclusion, the projection of point Q(-3, 5, 4) onto the xy-plane has coordinates (-3, 5, 0). This means that the point lies on the xy-plane, with its z-coordinate being zero.

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