Answer gets brainliest

Answer:

m = x(k-6)

Step-by-step explanation:

multiply each side by 'x'

Answer:

A) -2 - i√3 , -2 + i√3

Step-by-step explanation:

Solve using quadratic formula

x² + 4x + 7 = 0

The Almighty Formula

= -b ± √b² - 4ac/2a

Where ax + bx² + c = 0

From the above question

a = 1, b = 4, c= 7

Hence,

-4 ± √4² - 4 × 1 × 7/2 × 1

-4 ± √16 - 28/2

=( -4 ± √-12)/2

Since

b² - 4ac < 0

We have two complex roots

Simplifying

( -4 ± √-12)/2

= -4/2 ± √-12/2

= -2 ± 2√3i/2

= -2 ± √3i

Therefore,

-2 - √3i , -2 + √3i

or

-2 - i√3 , -2 + i√3

Option A , is the correct answer

Answer:

48.35

Step-by-step explanation:

6*6= 36

(6*3/2)=9

1/2*3.14=1.57

1/4*3.14= 1.78

36+9+1.57+1.78

Hey there!

a = 5 ; b = 2

Option A.

a + b

= 5 + 2

= 7

Option B.

a - b

= 5 - 2

= 3

Option C.

2a + 3b

= 2(5) + 3(2)

= 10 + 6

= 16

Option D.

5a - b

= 5(5) - 2

= 25 - 2

= 23

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

119 is the value of x when y = 7

Step-by-step explanation:

Since y varies inversely with x, we can use the following equation to model this:

y = k/x, where

Step 1:  Find k by plugging in values:

Before we can find the value of x when y = k, we'll first need to find k, the constant of proportionality.  We can find k by plugging in 49 for y and 17 for x:

Plugging in the values in the inverse variation equation gives us:

49 = k/17

Solve for k by multiplying both sides by 17:

(49 = k / 17) * 17

833 = k

Thus, the constant of proportionality (k) is 833.

Step 2:  Find x when y = k by plugging in 7 for y and 833 for k in the inverse variation equation:

Plugging in the values in the inverse variation gives us:

7 = 833/x

Multiplying both sides by x gives us:

(7 = 833/x) * x

7x = 833

Dividing both sides by 7 gives us:

(7x = 833) / 7

x = 119

Thus, 119 is the value of x when y = 7.

Answer:

The closest straight-line distance from Caleb's school to the library is:

Step-by-step explanation:

Imagine a triangle, where five blocks are a side and two blocks another side, to obtain the closest straight-line distance from Caleb's school to the library you can use the Pythagoras theorem, where the hypotenuse is the closest straight-line:

Clearing the hypotenuse is:

Now, you only need to identify the distance in each case:

Five blocks = 275 feet * 5 = 1375 feet.

Two blocks = 275 feet * 2 = 550 feet.

At last, you must replace the distances found in the equation cleared:

Identifying this, the closest straight-line distance from Caleb's school to the library is 1480.92 feet.

The statement is true. This means that r'(t) is orthogonal (perpendicular) to r(t) for all t.

If |r(t)| = 1 for all t, then r(t) is a unit vector for all t. Differentiating both sides of this equation with respect to t, we get:

|r(t)|' = 0

Using the chain rule and the fact that the magnitude of a vector is the square root of the dot product of the vector with itself, we have:

|r(t)|' = (r(t) · √r(t))

= (2r(t) · r'(t)) / (2|r(t)|)

= r(t) · r'(t) / |r(t)|

= r(t) · r'(t)

Since |r(t)|' = 0, we have:

r(t) · r'(t) = 0

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Therefore, the area of the ice cap was changing at a rate of approximately -20629 square miles per year in 2013.

To find the rate at which the area of the ice cap was changing in 2013, we can use the formula for the derivative of the area with respect to time.

Given:

Radius of the ice cap (r) = 792 mi

Rate of change of radius (dr/dt) = -4.1 mi/yr (negative because the radius is shrinking)

The formula for the area of a circle is A = πr²

Taking the derivative of both sides of the equation with respect to time (t), we get:

dA/dt = 2πr(dr/dt)

Substituting the given values:

dA/dt = 2π(792)(-4.1)

Calculating the value:

dA/dt ≈ -20629

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Answer and Step-by-step explanation:

The cubed root of -343 has ONE real roots.

That root is -7.

When you multiply -7 by itself 3 times, you get -343.

-7 times -7 = 49

49 times -7 = -343.

#teamtrees #WAP (Water And Plant)

The symbol for proportionality is "∝". It is read as "is proportional to" or "varies in proportion to".

Proportionality is a mathematical concept that describes the relationship between two quantities. When two quantities are proportional, it means that they have a constant ratio. For example, the distance traveled by a car is proportional to the time it takes to travel that distance. This means that if the time taken to travel doubles, then the distance traveled also doubles.

In mathematics, we use the symbol "∝" to represent proportionality. This symbol is read as "is proportional to" or "varies in proportion to". So, if we say that A ∝ B, it means that A is proportional to B. This implies that if B increases or decreases, then A also increases or decreases, but the ratio of A to B remains constant.

The concept of proportionality is used in various mathematical fields, such as algebra, geometry, and physics. It is a powerful tool for solving problems that involve relationships between quantities, and it is widely used in real-world applications, such as in engineering, economics, and statistics.

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The game costs $54 in total.

Multiplication is a method of finding the product of two or more numbers

If Donna has saved $18, which is one third of the total cost of the game, we can set up the following equation to represent the situation:

1/3×Total cost of the game = $18

To find the total cost of the game, we can solve for it by multiplying both sides of the equation by 3:

Total cost of the game = 3 × $18

Total cost of the game = $54

Therefore, the game costs $54 in total.

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a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

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Answer:

3,125

Step-by-step explanation:

1. 5•5=25

2.25•5=125

3.125•25=3,125

Answer:

c

Step-by-step explanation:

Answer:

the answer is -1

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

The input value for which f(x) = g(x) is true is -1

The formula for calculating the equation of a line is expressed as:

m is the slope

b is the y-intercept

For table 1,

Get the slope:

Use the coordinate (-2, 3) and m = 0 to get the value of "b"

The required function for table 1 is f(x) = 3

For table 2:

Get the slope:  

Use the coordinate (-2, 4) and m = -1 to get the value of "b"

The required function for table 2 is g(x) = -x + 2

If the function f(x) = g(x), hence:

-x + 2 = 3

-x = 3 - 2

-x = 1

x = -1

Hence the input value for which f(x) = g(x) is true is -1

If X is the number of green candy pieces chosen, the binomial table that describes the probability is:

X         0               1               2

P(X)    0.3025    0.4950     0.2025

The probabilities are given as:

Represent the orange candy with letter O, and green candy with letter G

Using the above representations, see attachment for the tree diagram

From the diagram in (a), we have the following sample space:

GG, OG, OG, OO

So, the frequency table is:

GG = 1

OG = 2

OO = 1

The probabilities are then calculated as:

GG = 0.45 * 0.45 = 0.2025

OG = 2 * 0.55 * 0.45 = 0.4950

OO = 0.55 * 0.55 = 0.3025

Hence, the binomial table is:

X         0               1               2

P(X)    0.3025    0.4950     0.2025

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The equivalent choice to the fraction \(\frac{3}{\sqrt{x+3}-\sqrt{x}}$ is $\sqrt{x+3}+\sqrt{x}$.\)

A fraction is a way of representing a part of a whole or a number that is not a whole number. A fraction consists of two numbers, one on top of the other, separated by a horizontal line. The number on top is called the numerator, and the number on the bottom is called the denominator. The numerator represents the number of parts we are considering, while the denominator represents the total number of parts in the whole. For example, the fraction 3/4 represents three parts out of a total of four parts. Fractions are used in many different areas, such as in mathematics, cooking, and measurements.

To rationalize the denominator of the fraction \($\frac{3}{\sqrt{x+3}-\sqrt{x}}$\), we can multiply both the numerator and the denominator by the conjugate of the denominator, which is \($(\sqrt{x+3}+\sqrt{x})$\). This gives:

\(\frac{3}{\sqrt{x+3}-\sqrt{x}} \cdot \frac{\sqrt{x+3}+\sqrt{x}}{\sqrt{x+3}+\sqrt{x}}\)

Simplifying this expression by using the difference of squares on the denominator, we get:

\(\frac{3[(\sqrt{x+3}+\sqrt{x})]}{(x+3)-x}\)

The x terms in the denominator cancel out, leaving:

\($\frac{3[(\sqrt{x+3}+\sqrt{x})]}{3}\)

Simplifying further, the 3s cancel out, leaving:

\($$\sqrt{x+3}+\sqrt{x}$$\)

Therefore, the equivalent choice to the fraction \(\frac{3}{\sqrt{x+3}-\sqrt{x}}$ is $\sqrt{x+3}+\sqrt{x}$.\)

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Hence, three points. That can be plot on graph by using this linear equation are(0 ,0) (1 ,80) (2 , 160)

A linear equation is a two-variable equation that, when plotted on a graph, results in a straight line. Each term in the equation, which has a degree of 1, has an exponent of 1. Real-world events like the correlation between temperature and time of day are modelled using linear equations. Y = mx + b, for instance, is a linear equation where m is the line's slope and b is the y-intercept

We may use the slope-intercept form of a linear equation, which is y=mx+b where m is the slope and b is the y-intercept, to graph the equation Y=0.80x100.

In this instance, y=0.80x100 can be written as y=80x.

This line has an 80 percent slope, which means that for every increase in x of one, y rises by 80 percent.

We can select any three x values and then determine the matching y values to locate three locations on this line.

As an illustration,

if we select x=0, then y=80(0)=0

gives us the point. (0,0).

If we select x=1, then y=80(1)=80 and

we are presented with the point. (1,80).

If we select x = 2, then y = 80(2) = 160

giving us the point. (2,160).

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Answer:

40 Batches

Step-by-step explanation:

16 ounces in a pound

16*30=480

There are 480 ounces of flour

480/12=40

36 cm tall will their stacks be when they are the same height for the first time.

Given,

Two students in Mrs. Johnson's preschool class are stacking blocks:

The height of Reece's block = 4 cm

The height of Maddy's block = 9 cm

We have to find the height of the stacks when they are same height for the first time.

Here,

We have to find the least common multiple.

Least Common Multiple (LCM):

The smallest number that is a multiple of both of two numbers is called the least common multiple.

So here,

We have to find the least common multiple of 4 and 9.

Here, the least common multiple of 4 and 9 = 36

Then,

36 cm tall will their stacks be when they are the same height for the first time.

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a) There is not enough evidence to conclude that cars get significantly better fuel economy with premium gasoline.

In order to test the belief that premium gasoline provides better fuel economy, a study was conducted using 10 cars from a company fleet. Each car was randomly assigned either regular or premium gasoline, and the mileage for each tankful was recorded. The data was analyzed to determine if there is a significant difference in fuel economy between the two types of gasoline.

To evaluate this, a paired t-test can be used since the same cars were tested with both types of gasoline. The null hypothesis would be that there is no difference in fuel economy between regular and premium gasoline, while the alternative hypothesis would be that there is a significant difference.

The results of the study would be analyzed using the appropriate statistical test, such as a paired t-test, to determine the p-value. If the p-value is less than the chosen significance level (e.g., 0.05), then there would be evidence to reject the null hypothesis and conclude that there is a significant difference in fuel economy.

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Answer:

.25

Step-by-step explanation:

Answer:

6(x/2 + 4)>9

x/2 + 4 > 9/6

x/2 + 4 > 3/2

x/2 > 3/2 - 4

2*(x/2) > 2*(3/2 - 4)

x > 3 - 8

x > - 5

Step-by-step explanation:

Answer:

X>-5

Step-by-step explanation:

Can i get brainiest please

Answer:

2; 0.5

Step-by-step explanation:

1.5 m and 75 cm

1.5m= 150 cm

150 cm>75 cm

\( \frac{150}{75} = 2\)

600 m and 1.2 km

1.2 km=1200 m

600 m<1200 m

\( \frac{600}{1200} = 0.5\)

The cost of a new home, built of standard materials, with standard techniques and design replacement cost and reproduction cost may be the same.

When analyzing the cost of a new home built with standard materials, techniques, and design, the relationship between replacement cost and reproduction cost may vary. Option 4) Replacement cost and reproduction cost may be the same, is the most accurate statement.

Replacement cost refers to the amount required to replace or rebuild a property, while reproduction cost refers to the cost of constructing an exact replica of the original property. These costs can be the same in some cases, but factors such as market conditions, construction costs, and availability of materials can affect the costs differently. Cost and value are not always the same, as value considers factors such as location, demand, and economic conditions.

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The Order of Operations (also known as PEMDAS) states that we need to perform Parentheses.

The numeric expression that correctly shows the amount that each member will make is:

(500 - 80) ÷ 4

First, we need to perform the subtraction inside the parentheses: 500 - 80 = 420.

Then, we can perform the division: 420 ÷ 4 = 105.

Therefore, each member will make $105.

This follows the Order of Operations (also known as PEMDAS) which states that we need to perform Parentheses, Exponents, Multiplication and Division (from left to right), and finally Addition and Subtraction (from left to right). So, we perform the subtraction first inside the parentheses and then the division.

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Explanation:

AD = 15, DB = 12, AE = 10, and EC = 8

To determine if line BC is parallel to line DE, we will find the ratio of thier corresponding sides. if it is equal, they are parallelf

Answer:

x=9

Step-by-step explanation:

13x-32 and 7x+22 are equal to each other (angles) so

13x-32=7x+22

13x-7x=22+32

6x=54

x=54/6

x=9