I NEED SOME HELP PLEASE

Answer:

42

Step-by-step explanation:

The answer is 200000∠-50°.

The multiplication of complex numbers can be done by using the distributive property of multiplication.

Let's find the solution to this problem using the given formula which is:

(a + bi)(c + di) = (ac - bd) + (ad + bc)i

where a, b, c, and d are real numbers.(1000∠-30°) × (200∠-20°)

To multiply these complex numbers, we need to multiply their magnitudes and add their angles to get the angle of the resultant complex number.

So, the solution can be calculated as:1000 × 200 = 200000∠(-30°-20°)200000∠-50°

Thus, the answer is 200000∠-50°.

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Answer:

nothing

Step-by-step explanation:

a product of 2 positive numbers always shows a positive value if we add them

$3,000 in an account that earns 4% compound interest after 6 years.

\(p = 3000\)

\(r = 4\)

\(t = 6years\)

\(interest = \frac{prt}{100} \)

\( = \frac{3000 \times 6 \times 4}{100} \)

\( = 720\)

therefore, $720 is the current amount of interest.

Answer:

The last choice: selecting two marbles one at a time without replacement.

Step-by-step explanation:

Independant events means that the second action is not dependant or does not get influenced by the first action. Lets look at our options...

a) There is no correlation between rolling a die and spinning a spinner

b) Whatever result you get (heads or tails) the first time of tossing the coin will not effect your next result since you always have a 50% chance of both sides.

c) Because you put back the first card you choose, the probability of choosing a certain card is the same.

d) Because you don't put back the marble after the first time, you end up changing up the probability of choosing a certain marble, meaning that it is NOT a independant event.

The function is \(e^{(x^3)}\) whose Maclaurin expansion is 1 + \(x^3\) + \((x^6)\)/2! + \((x^9)\)/3! + \((x^{12} )\)/4! + ...

The Maclaurin series of a given function is represented as a sum of terms with increasing powers of x and decreasing factorials. The Maclaurin series you provided is:

1 + \(x^3\) + \((x^6)\)/2! + \((x^9)\)/3! + \((x^{12} )\)/4! + ...

This series can be rewritten as:

∑ \((x^{(3n)} )/n!\) for n=0 to infinity.

This expansion resembles the Maclaurin series for \(e^x\), which is:

\(e^x\) = ∑ \(x^n\)/n! for n=0 to infinity.

However, in the given series, the powers of x are in multiples of 3. To adjust the standard exponential function to match the provided series, you can use the substitution \(x^3\) = u:

\(e^u\) = ∑ \(u^n\)/n! for n=0 to infinity.

Now, substitute \(x^3\) back for u:

\(e^{(x^3)}\) = ∑ \((x^{(3n)} )/n!\) for n=0 to infinity.

Therefore, the function whose Maclaurin expansion matches the given series is f(x) = \(e^{(x^3)}\).

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The probability of observing a sample mean of 0.987 liters or less in a sample of 50 bottles is approximately 0.105, or 10.5%.

To find the probability of observing a sample mean of 0.987 liters or less in a sample of 50 bottles, we can use the concept of the sampling distribution of the sample mean. The sampling distribution of the sample mean follows a normal distribution when the sample size is sufficiently large.

Calculate the standard error (SE) of the sample mean, which is the standard deviation of the population divided by the square root of the sample size. In this case, SE = 0.13 / sqrt(50) ≈ 0.0183 liters.

Calculate the z-score, which is a measure of how many standard errors the observed sample mean is away from the population mean. The z-score is calculated using the formula: z = (x - μ) / SE, where x is the sample mean, μ is the population mean, and SE is the standard error. In this case, z = (0.987 - 1.01) / 0.0183 ≈ -1.257.

Determine the probability associated with the calculated z-score using a standard normal distribution table or a statistical calculator. In this case, we want to find the probability of observing a sample mean of 0.987 liters or less, which corresponds to the probability to the left of the calculated z-score.

Look up the z-score in the standard normal distribution table or use a statistical calculator to find the corresponding probability. For a z-score of -1.257, the probability is approximately 0.105, or 10.5%.

The probability of observing a sample mean of 0.987 liters or less in a sample of 50 bottles is approximately 0.105, or 10.5%. This probability represents the likelihood of obtaining a sample mean as extreme as 0.987 liters or lower if the population mean is indeed 1.01 liters.

Remember to interpret the probability in the context of the problem and consider the significance level or desired level of confidence for drawing conclusions.

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Answer:

Step-by-step explanation:

Surface area is the sum of the areas of the faces of a solid. It is measured in square units. Volume is the amount of space taken up by a solid. It is measured in cubic units. Surface area would be used to find the amount of wrapping paper for a gift, and volume would be used to find how much would fit into a box.

Answer: Surface area is the sum of the areas of the faces of a solid. It is measured in square units. Volume is the amount of space taken up by a solid. It is measured in cubic units. Surface area would be used to find the amount of wrapping paper for a gift, and volume would be used to find how much would fit into a box.

Step-by-step explanation:

Answer:

A. $80

Step-by-step explanation:

Since f(x)=15x + 35, we know that x represents number or hours. By substituting x as 3 we get 15(3) + 35 = 80.

The simplified radical expression by rationalizing the denominator is, \(\frac{-6}{\sqrt{5y}}\times\frac{\sqrt{5y}}{\sqrt{5y}}\) = \(\frac{-6\sqrt{5y}}{5y}$$\) = $\frac{-6\sqrt{5y}}{5y}$.

To simplify the radical expression by rationalizing the denominator, multiply both numerator and denominator by the conjugate of the denominator.

The given radical expression is \($\frac{-6}{\sqrt{5y}}$\).

Rationalizing the denominator

To rationalize the denominator, we multiply both the numerator and denominator by the conjugate of the denominator, \($\sqrt{5y}$\)

Note that multiplying the conjugate of the denominator is like squaring a binomial:

This simplifies to:

(-6√(5y))/(√(5y) * √(5y))

The denominator simplifies to:

√(5y) * √(5y) = √(5y)^2 = 5y

So, the expression becomes:

(-6√(5y))/(5y)

Therefore, the simplified expression, after rationalizing the denominator, is (-6√(5y))/(5y).

\($(a-b)(a+b)=a^2-b^2$\)

This is what we will do to rationalize the denominator in this problem.

We will multiply the numerator and denominator by the conjugate of the denominator, which is \($\sqrt{5y}$\).

Multiplying both the numerator and denominator by \($\sqrt{5y}$\), we get \(\frac{-6}{\sqrt{5y}}\times\frac{\sqrt{5y}}{\sqrt{5y}}\) = \(\frac{-6\sqrt{5y}}{5y}$$\)

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6% of the students surveyed said that their favorite music is Country music. This may be due to its classic sound, relatable lyrics, and lifestyle connection.

Number is an abstract concept used to describe a quantity, or amount, of something. It is used in mathematics to quantify things, such as in counting, measuring, and representing data. Numbers are used to describe the size, quantity, or position of objects or people in space or time. They are also used to classify, classify, and identify items in a variety of fields. Numbers can be used to represent ideas and concepts, such as in equations, formulas, and other mathematical operations.

Six students represents 6 out of 100 students, so the percent of students who said that their favorite music is Country music is 6%. Rap, Pop, and Latin music each represent 12% of the students, for a total of 36%. The remaining 64% of the students may have chosen other genres, or did not answer the question.

The popularity of Country music among the students may have several explanations. First, Country music is often considered to be a classic genre, and the students may have grown up with the music and developed an appreciation for it. Second, many Country music songs have lyrics that are easy to relate to, which can resonate with the students. Finally, Country music is often associated with a certain lifestyle, and the students may be drawn to its image.

In conclusion, 6% of the students surveyed said that their favorite music is Country music. This may be due to its classic sound, relatable lyrics, and lifestyle connection.

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Answer:

y = -2x + 12

Step-by-step explanation:

Parallel = Same Slope         Perpendicular = Opposite Reciprocal of Slope

How to find "b" or y intercept:

y = mx + b       (3,6)        slope = m: -2

plug in the corresponding values for the variables

6 = -2(3) + b

12 = b

ANSWER

EXPLANATION

We want to write the equation for the function g(x).

From the graph, we see that g(x) was moved 5 units upward from the parent function, f(x). In other words, f(x) was translated vertically upward to result in g(x).

When an exponential function is translated vertically, it changes as follows:

when b > 0, it is an upward translation

when b < 0, it is a downward translation

Therefore, the equation for the function g(x) can be written as:

Answer:

B is the answer

Step-by-step explanation:

The perpendicular height of the parallelogram is 13 cm.

A right triangle is a triangle that has an angle that measures 90 degrees. The three sides of a right -angled triangle are known as the length, base and the hypotenuse.

Area of a right-angled triangle = 1/2 x base x height

Area of a right-angled triangle = 1/2 x 13 x 6 = 39 cm²

A parallelogram is quadrilateral that has two pairs of parallel sides. The opposite sides equal in length

Area = base x height

Area of the parallelogram = 4 x 39 = 156 cm²

Height = area / base

156 cm² / 12 = 13 cm

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To find the number of points on the curve where the tangent line is horizontal, we need to take the derivative of the equation and solve for y'.There are two such points on the curve where the tangent line is horizontal.

To find the points on the curve x^2/3 + y^2/3 = 9 in the xy-plane where the tangent line is horizontal, we first need to take the derivative of the equation with respect to x. Using the chain rule, we get:

(2/3)x^(-1/3) + (2/3)y^(-1/3)*y' = 0

Solving for y', we get:

y' = -x^(1/3)/y^(1/3)

To find the values of x where the tangent line is horizontal, we need to set y' equal to zero. This means that:

-x^(1/3)/y^(1/3) = 0

This equation is only satisfied when x = 0. We can plug this value of x back into the original equation to find the corresponding y-coordinates:

(0)^2/3 + y^2/3 = 9

y^2/3 = 9

y^2 = 27

This gives us two possible y-coordinates: y = sqrt(27) and y = -sqrt(27). Therefore, there are two points on the curve where the tangent line is horizontal, namely (0, sqrt(27)) and (0, -sqrt(27)).

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Answer:

x=-19

Step-by-step explanation:

For solving for x you will have to use inverse operations

-6=(-5+x)/4

-6(4)=-5+x

-6(4)+5=x

-19=x

x=-19

Total number of eggs = 6 + 19 + 14 + 11 + 23 + 2 = 75 eggs

Total hatched eggs = 6 + 14 + 23 = 43

Therefore, the answer is 57 ( to the nearest whole number)

From given ratio of boys and girls, the total number of students at the school is 1240.

What exactly is a ratio?

A ratio is a comparison of two quantities or values by division. It is commonly used to express the relationship between two numbers, such as the ratio of the number of boys to the number of girls in a classroom.

The ratio of two numbers a and b can be expressed as a/b or as the fraction a:b. For example, if there are 20 boys and 30 girls in a classroom, the ratio of boys to girls is 20/30, which can be simplified to 2/3 or written as the fraction 2:3.

Now,

Let's represent the number of boys as 11x and the number of girls as 9x, where x is a common factor.

From the given information, we know that:

11x = 9x + 124

Simplifying

11x - 9x = 124

2x = 124

x = 62

Now,

Number of boys = 11x = 11(62) = 682

Number of girls = 9x = 9(62) = 558

Therefore, the total number of students at the school is:

Total number of students = Number of boys + Number of girls = 682 + 558 = 1240

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Answer:

9

Step-by-step explanation:

6 1/3 yards of material is 19/3 yards total. 6 yards broken into thirds is 18/3. 18 divided by 2 is 9. There are 9 total pieces to cut, and an extra 1/3 left over

Answer:

C) 12%

Step-by-step explanation:

Answer: The answer is B.

Step-by-step explanation:

Add all of the students who chose English together and u get 24 and 12 is 50% of 24

Answer: The ratio of the circle's shaded area to the area between the two squares is 0.1425 or 14.25%.The ratio of the circle's shaded area to the area between the two squares is given below. Inscribed circle in a square and circumscribed about another square:

The circle's diameter is equal to the length of the smaller square's side and is also equal to the longer square's diagonal. Let's suppose the length of the side of the smaller square is a units, then the diagonal will be a√2 units.

Now, the radius of the circle = diameter/2= a/2 units.
And the area of the circle=
c
The area of the smaller square = a² sq. units.
The area of the larger square = diagonal² =
\((a√2)² = 2a² sq. units\).
Area between the squares = (area of larger square) – (area of smaller square) =\(2a² – a² = a² sq.\) units.
Area of the shaded region = Area of the larger square – Area of the circle= \(2a² – πa²/4\)
Now, Ratio of the circle's shaded area to the area between the two squares is given by the formula:

Ratio = Area of the circle/Area between the squares=
\(πa²/4/2a² - a²/4= π/8 - 1/4= (3.14/8) - (1/4)= (0.3925 - 0.25)\)
Ratio = 0.1425 or 14.25%

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Answer:

11. 68.6 mph

12. 5/6 page (0.83)

Step-by-step explanation:

You simply divide them (remember the word "per" means divide).

\(\dfrac{120}{1 \frac34} \approx 68.6\)

\(\dfrac{8 \frac13}{10} = \frac56\)

Answer:

huh?

Step-by-step explanation:

The equation showing y as a function of x is given as y = -x - 2

An equation is an expression relating two or more numbers and variables.

The standard form of a linear equation is:

Ax + By = C

where A, B and C are constants

The slope - intercept form of a linear equation is:

y = mx + b

Where m is the rate of change(slope) and b is the y intercept.

The graph passes through points (-2, 0) and (0, -2). Hence, the equation is::

y - 0 = [(-2-0)/(0 - (-2)](x - (-2))

y = -1(x + 2)

y = -x - 2

a) When the input is -3, that is x = -3:

y = -(-3) - 2 = 1

The output is 1 when the input is -3

b) When the output is 2, that is y = 2:

2 = -x - 2

-x = 4

x = -4

The input is -4 when the output is 2

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Hello !!

kᵃ x kᵇ = kᵃ⁺ᵇ

kᵃ ÷ kᵇ = kᵃ⁻ᵇ

4¹⁰ x 4⁵ ÷ 4⁹

= 4¹⁰⁺⁵ ÷ 4⁹

= 4¹⁵ ÷ 4⁹

= 4¹⁵⁻⁹

= 4⁶

Step-by-step explanation:

Note:

Linear equations will never exponents in its equation such as

\( {x}^{2} \\ y = {x}^{3} \)

as those equations will produce curly graphs.

Nonlinear equations will either contain exponents or logarithms (eg. ln2)

Answer:

4

Step-by-step explanation:

3*4 is 12 and if you divide 12 by 3(the divisor) you will get 4

The dividend of the given divisor and quotient is 36.

The dividend is the number that is being divided in a division problem. In this case, we can use the formula:

Dividend = divisor × quotient

Here is the step-by-step explanation:

Therefore, if the divisor is 3 and the quotient is 12, the dividend is 36.

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      idddddddddddddddkkkkkkkkkkkkkkkkkkkkkkkk annnnthinggggggg            

Biblical tithing basically means you will give 10 percent of your income to the lord.The word tithe refers to "tenth" or "tenth part," so biblical tithing implies offering one-tenth of one's income to the church.

Biblical tithing is the method of giving the first fruits of one's labor to the Lord. Tithing originated from the Old Testament in which people would offer 10% of their harvest to the Lord.Tithing is a way of giving back to God as well as to others, according to the Bible.

As a result, Christians are required to tithe a tenth of their earnings. While this might appear to be a significant amount of money, if Christians can trust God with their finances, they can discover that he blesses them in ways they never imagined. In the New Testament, there is no specific requirement to tithe, but Christians are urged to give generously to the church and those in need.

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