i need help im confused​

Answer: x-4 or it can be oppisite of the number i said ike -4x

Step-by-step explanation: x-8x4 combine exponents you get

The expression simplifies to(385/√41)∠(19° - atan(5/4))So, the polar form of the complex number (11∠60∘)(35∠−41∘)/(2+j6)−(5+j) is (385/√41)∠(19° - atan(5/4)).


To find the polar form of the complex number, we need to perform the given operations and express the result in polar form. Let's break down the calculation step by step.

First, let's simplify the expression within the parentheses:

(11∠60∘)(35∠−41∘)/(2+j6)−(5+j)

To multiply complex numbers in polar form, we multiply their magnitudes and add their angles:

Magnitude:
11 * 35 = 385

Angle:
60° + (-41°) = 19°

So, the numerator simplifies to 385∠19°.

Now, let's simplify the denominator:

(2+j6)−(5+j)

Using the complex conjugate to simplify the denominator:

(2+j6)−(5+j) = (2+j6)-(5+j)(1-j) = (2+j6)-(5+j+5j-j^2)

j^2 = -1, so the expression becomes:

(2+j6)-(5+j+5j+1) = (2+j6)-(6+6j) = -4-5j

Now, we have the numerator as 385∠19° and the denominator as -4-5j.

To divide complex numbers in polar form, we divide their magnitudes and subtract their angles:

Magnitude:
|385|/|-4-5j| = 385/√((-4)^2 + (-5)^2) = 385/√(16 + 25) = 385/√41

Angle:
19° - atan(-5/-4) = 19° - atan(5/4)

Thus, the expression simplifies to:

(385/√41)∠(19° - atan(5/4))

So, the polar form of the complex number (11∠60∘)(35∠−41∘)/(2+j6)−(5+j) is (385/√41)∠(19° - atan(5/4)).

To know more about expression click-
http://brainly.com/question/1859113
#SPJ11

The area of figures are calculated a follows:

1. 78.5 m²    2. 66.5 m²    3. 35 m²    4. 153.86 m²    5. 70 m²

1. The area of the circle = πr²

= 3.14 * 5²

= 78.5 m²

2. The figure is a trapezoid, therefore:

Area of the trapezoid = 1/2 * (a + b) * h

= 7(5 + 14)/2

= 66.5 m²

3. Area of triangle = 1/2 * base * height = 1/2 * 14 * 5 = 35 m²

4. The area of the circle = πr²

= 3.14 * 7²

= 153.86 m²

5. Area of parallelogram = base * height = 14 * 5 = 70 m²

Learn more about the area of figures on:

https://brainly.com/question/30721292

#SPJ1

Answer:

The range gives you the spread of the whole data set, the interquartile range gives you the spread of the middle half of a data set.

Step-by-step explanation:

The value of the derivative of D at t = 8 is equal to -0.5 is At 8 a.m. the water level decreased at a rate of 0.5 meters per hour.

A function that has a derivative at each point in its domain is referred to as a differentiable function of one real variable in mathematics.

In other words, a graph of a differentiable function has a non-vertical tangent line at each interior point in its domain. A differentiable function has no break, angle, or cusp and is smooth (it is locally well approximated as a linear function at each interior point).

To learn more about derivative here:

https://brainly.com/question/25324584

#SPJ4

The equivalent payments to settle the debt at different times are (a) $4800, (b) $4800 / (1 + 0.048)^3, (c) $4800 / (1 + 0.048)^5, and (d) $4800 / (1 + 0.048)^10. These calculations take into account the time value of money, compounding annually at a rate of 4.8%.

To find the equivalent payments that would settle the debt at different times, we need to calculate the present value of the loan. The formula for the present value of a future amount is given by:

PV = FV / (1 + r)^n

Where PV is the present value, FV is the future value, r is the interest rate, and n is the number of periods.

(a) To settle the debt now, the future value is $4800, and since it is due immediately, the present value is equal to the future value: PV = $4800.

(b) To settle the debt in 3 years, we use the formula with FV = $4800, r = 4.8% (0.048), and n = 3: PV = $4800 / (1 + 0.048)^3.

(c) To settle the debt in 5 years (at the due date), we use the same formula with n = 5: PV = $4800 / (1 + 0.048)^5.

(d) To settle the debt in 10 years, we use the same formula with n = 10: PV = $4800 / (1 + 0.048)^10.

The equivalent payments to settle the debt at different times are as follows: (a) $4800, (b) $4800 / (1 + 0.048)^3, (c) $4800 / (1 + 0.048)^5, and (d) $4800 / (1 + 0.048)^10. These calculations take into account the time value of money, compounding annually at a rate of 4.8%.

Learn more about compounded annually here : brainly.com/question/26550786

#SPJ11

Answer:

y = -x - 2

Step-by-step explanation:

y-3=-1(x+5)

Expand.

y - 3 = -1x - 5

Add 3 on both parts.

y - 3 + 3 = -1x - 5 + 3

y = -1x - 2

Answer: ( ∞ , -∞ )

Step-by-step explanation:

Answer:

$41.89

Step-by-step explanation:

100%=35.50

1%=0.3550

18%=6.39

$35.50+6.39=$41.89

Answer: 49.89 percent

Step-by-step explanation:

Be a good boy

The observed allele frequencies for the T102C locus are as follows: T allele frequency = 0.388 and C allele frequency = 0.612.


To calculate the observed allele frequencies, we divide the number of occurrences of each allele by the total number of alleles observed.

In this case, the T allele is observed in 108 TT genotypes and 194 TC genotypes, giving a total of 108 + 194 = 302 T alleles. Similarly, the C allele is observed in 194 TC genotypes and 48 CC genotypes, giving a total of 194 + 48 = 242 C alleles.

To calculate the T allele frequency, we divide the number of T alleles by the total number of alleles: 302 T alleles / (302 T alleles + 242 C alleles) = 0.388 (or approximately 0.39).

Similarly, the C allele frequency is calculated as: 242 C alleles / (302 T alleles + 242 C alleles) = 0.612 (or approximately 0.61).

Therefore, the observed allele frequencies for the T102C locus are T allele frequency = 0.388 and C allele frequency = 0.612.

Learn more about Number click here :brainly.com/question/3589540

#SPJ11

Answer:

y = 1/2x + 7

Step-by-step explanation:

Answer:

the number of times Angela needs to fill the 1/4-cup measuring cup to pour 1/2 cup of milk is 2.

Complete question:

While making oatmeal cookies, Angela needs to add 1/2 cup of milk to her dough. However, she has only a 1/4-cup measuring cup. How many times does she need to fill the measuring cup to pour 1/2 cup of milk? The number of times Angela needs to fill the 1/4-cup measuring cup to pour 1/2 cup of milk is?

Step-by-step explanation:

Number of cups Angela needs to add to her dough = 1/2 cup of milk

The only measuring cup she has = 1/4-cup measuring cup.

To determine the number of times she needs to fill the measuring cup to pour 1/2 cup of milk, we would divide the 1/2 cup of milk by 1/4-cup measuring cup

= ½ ÷ ¼

= ½ × 4/1

= 4/2

= 2

Angela would need to fill 2 times

Therefore, the number of times Angela needs to fill the 1/4-cup measuring cup to pour 1/2 cup of milk is 2

Answer:

The answer is 2 (:

Step-by-step explanation:

I got it right on the test in Edmentum

Hope this helps

Answer:

20% of 55 is 11

Step-by-step explanation:

Answer:

a the d

Step-by-step explanation:

and tbat is it bebejehehehejenene

Answer:

110°

Step-by-step explanation:

I forgot the correct terminology but it's like co-interior angles add up to 180°, so z = 110°

Answer:

the lines are parallel and there is a transversel line

Step-by-step explanation:

so the inner angle make 180°

so 70+z=180

z=180-70

z=110°

Answer:

Step-by-step explanation:

Given the quadratic equation A=−2x2+180x that gives the area A of the yard for the length x, to maximize the area of the yard then dA/dx must be equal to zero i.e dA/dx = 0

If A=−2x²+180x

dA/dx = -4x + 180 = 0

-4x + 180 = 0

Add 4x to both sides

-4x + 180 + 4x = 0 + 4x

180 = 4x

x = 180/4

x = 45

Hence the length of the building that should border the yard to maximize the area is 45 ft

To find the maximum area, we will substitute x = 45 into the modelled equation of the area i.e A=−2x²+180x

A = -2(45)²+180(45)

A = -2(2025)+8100

A = -4050 + 8100

A = 4050 ft²

Hence the maximum area of the yard is equal to 4050 ft²

Hey there! I'm happy to help!

We have 6 rock, 4 country, and 4 rap CDs. If we add these all together ,we have 14 total CDs.

Since there are 4 country CDs, we have a 4/14 chance of picking one, which simplifies to 2/7 chance.

Have a wonderful day!

The two expressions are not equal, so the function f(x) = 2x² is also not linear.

To determine if a function is linear, we need to verify if it satisfies the linearity property, which states that for any x and y in the domain of the function and any scalars α and β, the function should satisfy f(αx + βy) = αf(x) + βf(y).

Let's examine each function and determine if it is linear:

f(x) = 3x - 2

To check linearity, we need to verify if f(αx + βy) = αf(x) + βf(y). Let's substitute the values:

f(αx + βy) = 3(αx + βy) - 2

= 3αx + 3βy - 2

On the other hand:

αf(x) + βf(y) = α(3x - 2) + β(3y - 2)

= 3αx - 2α + 3βy - 2β

Comparing the two expressions, we can see that they are not equal, so the function f(x) = 3x - 2 is not linear.

f(x) = 2x²

Using the same logic, let's check linearity:

f(αx + βy) = 2(αx + βy)²

= 2(α²x² + 2αβxy + β²y²)

= 2α²x² + 4αβxy + 2β²y²

On the other hand:

αf(x) + βf(y) = α(2x²) + β(2y²)

= 2αx² + 2βy²

The two expressions are not equal, so the function f(x) = 2x² is also not linear.

In conclusion, neither of the given functions is linear since they do not satisfy the linearity property.

Learn more about linear here:

https://brainly.com/question/31510530

#SPJ11

Therefore, the radius of convergence is determined by the range of x values that satisfy the inequality, which is -2/3 < x < 0.

To find the radius of convergence and interval of convergence for the power series 011(3x+1)(2n+2), we can apply the ratio test.

The ratio test states that for a power series

∑(n=0 to ∞) a_n(x - c)n, the series converges if the limit of |a_(n+1)/a_n| as n approaches infinity is less than 1.

In our case, the power series is given by ∑(n=0 to ∞) 011(3x+1)(2n+2). Let's determine the limit of the ratio |a_(n+1)/a_n| as n approaches infinity:

|a_(n+1)/a_n| = |011(3x+1)(2(n+1)+2) / 011(3x+1)(2n+2)|

= |(3x+1)(2n+4) / (3x+1)(2n+2)|

= |(3x+1)2|

The series will converge if |(3x+1)²| < 1.

To find the interval of convergence, we need to solve the inequality:

|(3x+1)²| < 1

Taking the square root of both sides, we get:

|3x+1| < 1

This inequality can be rewritten as -1 < 3x+1 < 1.

Solving for x, we have -2/3 < x < 0.

Therefore, the radius of convergence is determined by the range of x values that satisfy the inequality, which is -2/3 < x < 0.

The interval of convergence is the open interval (-2/3, 0).

To know more about Radius of convergence visit:

https://brainly.com/question/18763238
#SPJ11

The correct expression for "a does not equal b" is "a ≠ b". The symbol ≠ represents the inequality of "not equal to". This means that a and b are not the same and can have different values. It is important to note that the inequality symbol ≠ is used for non-equal values, while the equals symbol = is used for equal values.

In mathematics, inequalities are used to compare two values and show how they differ. They are represented by symbols such as <, >, ≤, and ≥, which stand for less than, greater than, less than or equal to, and greater than or equal to, respectively. These symbols help us understand the relationship between two values and can be used to solve problems involving numerical comparisons.

When it comes to choosing the correct inequality or expression, it is important to carefully analyze the given information and determine which symbol accurately represents the relationship between the values. In this case, since a does not equal b, the correct symbol to use is ≠. By choosing the correct inequality or expression, we can ensure that our mathematical statements are clear, accurate, and meaningful.

learn more about the inequality symbol here: brainly.com/question/30092665

#SPJ11

The t-distribution is the distribution that uses t-values to establish confidence intervals.t-distribution:

The t-distribution is a probability distribution that is widely used in hypothesis testing and confidence interval estimation. It's also known as the Student's t-distribution, and it's a variation of the normal distribution with heavier tails, which is ideal for working with small samples, low-variance populations, or unknown population variances.The t-distribution is commonly used in hypothesis testing to compare two sample means when the population standard deviation is unknown. When calculating confidence intervals for population means or differences between population means, the t-distribution is also used. The t-distribution is used in statistics when the sample size is small (n < 30) and the population standard deviation is unknown.

To know more about probability :

https://brainly.com/question/31828911

#SPJ11

The height of the altitude h is 18 cm.

Altitude is the vertical height of an object above some chosen level.

To calculate the length of the altitude h, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the right option  is D. 18 cm.

Learn more about altitude here: https://brainly.com/question/27816517

#SPJ1

Answer:

C. -336

Step-by-step explanation:

1. Substitute 25 for x as g(25) simply means x = 25

2. Now that the equation is g(x) = 24(25 - 39), solve what's within the parenthesis first due to PEMDAS or subtract 25 - 39.

3. Now that the equation is g(x) = 24(-14) due to subtracting 25 and 39, multiply 24 by -14 since there is no sign. And a parenthesis with a number in it besides a number with no parenthesis signifies multiplication.

4. Now the answer found is -336.

The given quadratic equation in vertex form is y = 4(x - 3)^2 - 45.

To write the given quadratic equation 3x^2 - 24x - 44 = 1 - x^2 in vertex form, we need to complete the square as follows:

3x^2 - 24x - 44 = 1 - x^2

4x^2 - 24x - 45 = 0 (subtracting 1 from both sides and multiplying by 4)

x^2 - 6x - 45/4 = 0 (dividing the entire equation by 4)

x^2 - 6x + 9 - 45/4 = (x - 3)^2 - 45/4 (completing the square by adding and subtracting (6/2)^2 = 9)

x^2 - 6x + 9 - 45/4 = (x - 3)^2 - 45/4

Multiplying both sides by 4, we get:

4(x^2 - 6x + 9) - 45 = 4(x - 3)^2 - 45

Simplifying the right-hand side, we get:

4(x^2 - 6x + 9) - 45 = 4(x - 3)^2 - 45

Vertex form: y = 4(x - 3)^2 - 45

Therefore, the given quadratic equation in vertex form is y = 4(x - 3)^2 - 45.

Learn more about quadratic equation here

https://brainly.com/question/1214333

#SPJ11

Answer:

21, 7.5, -6

Step-by-step explanation:

Think of domain as x and range as y

okay so basically sense your range is (-6, 3, 12) and your function is

f(x) = -2/3x + 8

your domain values would be

21

7.5

-6

I suggest using desmos, it's very helpful, hope this helps

a) The explanatory variable in the study is the format of the stories presented to the four-year-olds: audio, illustrated, and animated. This variable is categorical because it involves distinct categories or formats.

b) The response variable in the study is the brain connectivity measured by the magnetic resonance imaging (MRI) machine. This variable is quantitative as it represents a numerical measurement of brain connectivity.

c) The study includes 27 four-year-olds as the observational units or individuals.

The study aimed to investigate the impact of different story formats on brain connectivity in four-year-olds. The explanatory variable, format, was categorized into three groups: audio, illustrated, and animated.

The response variable, brain connectivity, was measured using an MRI machine. The researchers found a "Goldilocks effect" in the brain connectivity, indicating that the audio format was associated with low brain connectivity, possibly due to the children straining to understand.

On the other hand, the animated format also resulted in low brain connectivity, suggesting that the animation did all the work for the children.

The highest brain connectivity, considered optimal, was observed with the illustrated format, which simulated the experience of reading a book to a child.

The study included 27 four-year-olds as the observational units, providing insights into the relationship between story format and brain connectivity in young children.

To know more about magnetic resonance imaging, refer here:

https://brainly.com/question/30523981#

#SPJ4

Therefore, the 98% confidence interval for the true proportion of customers who click on ads on their smartphones is approximately (0.369, 0.531).

To compute the 98% confidence interval for the true proportion of customers who click on ads on their smartphones, we can use the formula for a confidence interval for a proportion.

Confidence Interval = Sample Proportion ± (Critical Value) * (Standard Error)

Given:

Sample Proportion (p) = 0.45

Sample Size (n) = 150

Confidence Level = 98%

To find the critical value, we can use a Z-table. For a 98% confidence level, the critical value is approximately 2.33.

The standard error is calculated using the formula:

Standard Error = √((p * (1 - p)) / n)

Plugging in the values, we have:

Standard Error = √((0.45 * (1 - 0.45)) / 150)

≈ 0.0363

Now we can calculate the confidence interval:

Confidence Interval = 0.45 ± (2.33 * 0.0363)

Calculating the upper and lower bounds of the confidence interval:

Upper bound = 0.45 + (2.33 * 0.0363)

≈ 0.531

Lower bound = 0.45 - (2.33 * 0.0363)

≈ 0.369

To know more about confidence interval,

https://brainly.com/question/16986494

#SPJ11

Answer:

$5.25

Step-by-step explanation:

8.75/5=1.75

1.75 x 3=5.25

Answer:

$5.25

Step-by-step explanation:

8.75 devided by 5 is 1.75 so for 1 cupcake it is $1.75. $1.75 X 3= $5.25

Answer:

from last question,

x = 25

25 + 15 = 40

Therefore , the solution of the given problem of fraction comes out to be 6.3/1, or just 6.3.

Any arrangement of equivalent parts or fractions may be used to symbolise a whole. The word "quantity" in standard English is described as "a fraction" of a certain size. 8, 3/4. Fractions are included in wholes. In mathematics, numbers are represented by the ratio of divisor to ratio. These fractions of numbers are all straightforward fractions. A fraction is contained within the fraction, but it is a difficult fraction's residual.

Here,

Assume that the item's initial value was 1. The new price is 9/10 of the initial price after the first markdown, or (9/10) x 1 = 0.9.

The new price is 7/1 of the price that was acquired after the first markdown following the second markdown, or (7/1) x 0.9 = 6.3.

Therefore, the item's total cost is $6.3. We must divide the final price by the initial price to determine the amount of the original value that is still present:

=> final price / original price

=> 6.3 / 1

=> 6.3 for the remaining part.

The amount of the item's worth that is left over is therefore 6.3/1, or just 6.3.

To know more about fraction visit:

https://brainly.com/question/10354322

#SPJ1