4 divided by the sum of x and 1 equals the quotient of 3 and the difference of x and 1

Answer:

We kindly invite you to see the result in the image attached below.

The number in polar form is \(z = 3\sqrt{5}\cdot e^{i\cdot 0.352\pi}\).

Step-by-step explanation:

A complex number is represented by elements of the form \(a + i\,b\), for all \(a\), \(b\) \(\in \mathbb{R}\). The first part of the sum is the real component of the complex number, whereas the second part of the sum is the imaginary component of the complex number. The real component is located on the horizontal axis and the imaginary component on the vertical axis.

Now we proceed to present the point on the graph: (\(a = 6\), \(b = 3\))  We kindly invite you to see the result in the image attached below.

The polar form of the complex number is defined by:

\(z = r\cdot e^{i\cdot \theta}\) (1)

Where:

\(r\) - Magnitude of the complex number, dimensionless.

\(\theta\) - Direction of the complex number, measured in radians.

The magnitude and the direction of the complex number are defined by the following formulas:

Magnitude

\(r =\sqrt{a^{2}+b^{2}}\) (2)

Direction

\(\theta = \tan^{-1} \frac{b}{a}\) (3)

If we know that \(a = 6\) and \(b = 3\), then the polar form of the number is:

\(r =\sqrt{6^{2}+3^{2}}\)

\(r = 3\sqrt{5}\)

\(\theta = \tan^{-1} \frac{6}{3}\)

\(\theta \approx 0.352\pi \, rad\)

\(z = 3\sqrt{5}\cdot e^{i\cdot 0.352\pi}\)

The number in polar form is \(z = 3\sqrt{5}\cdot e^{i\cdot 0.352\pi}\).

Answer:

it is the thousands period.

Step-by-step exitplanation:

Answer

A few ways we could stop racism against black people in this country is to stop the perpepuation of black stereotypes in media. Such as the loud, aggressive black man, or the rude, catty black woman. It causes a harmful view on black people and can result in racial profiling. Another way to combat this racism is to fight off systemic racism. Black people who have unique names, usually African names, are more likely to get turned down for a job when they turn in their resume to an establishment. This is because they automatically assume that they'll be trouble, and won't be a good worker.

Answer:4$

Step-by-step explanation:

The amount of the last payment that Elroy will make is $710, which includes the $200 monthly payment and a balance of $510.

The last payment amount is the result of the mathematical operations of subtraction and multiplication.

The first mathematical operation was the subtraction of the down payment from the total cost of the video game system.

Using multiplication, the monthly payments are determined to be $3,400 for 17 months.  This is subtracted from the remaining balance to obtain the last payment amount.

The cost of a custom video game/virtual sound system = $4,210

Down payment = $100

The remaining balance for monthly payment = $4,110 ($4,210 - $100)

Payment period = 18 months (1¹/₂ years)

Monthly payments = $200

Payment for the first 17 months = $3,400 (17 x 200)

Last payment = $710 ($4,110 - $3,400)

Thus, if Elroy makes the minimum monthly payment of $200 till the last payment, then he will pay $710 to settle the account.

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He made a $100 down payment and agreed to pay the entire purchase off in 1 1/2 years The minimum monthly payment is $200 if he makes the minimum monthly payment up until the last payment what will be the amount of his last payment?

The computed probability of  P(X < 95) is P(X < 95) = P(Z < 1.25) = 0.8944 and the computed probability of P(57 < X < 75) is P(57 < X < 75) = P(-1.92 < Z < -0.42) = 0.2224.

As per the question given,  

To compute the probability P(X < 95), we need to standardize the value first:

z = (95 - 80) / 12 = 1.25

Using a standard normal distribution table or calculator, we can find that the probability of a standard normal random variable being less than 1.25 is approximately 0.8944. Therefore,

P(X < 95) = P(Z < 1.25) = 0.8944

To compute the probability P(57 < X < 75), we again need to standardize the values:

z1 = (57 - 80) / 12 = -1.92

z2 = (75 - 80) / 12 = -0.42

Using a standard normal distribution table or calculator, we can find the probability of a standard normal random variable being between -1.92 and -0.42. This probability is approximately 0.2224. Therefore,

P(57 < X < 75) = P(-1.92 < Z < -0.42) = 0.2224

This chance is around 0.2224. Therefore, P(57 < X < 75) = P(-1.92 < Z < -0.42) = 0.2224

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The chemist needs 20 liters of 22% solution and 30 liters of 27% of solution to form 50 milliliters of a 25% solution

An equation is an expression that shows the relationship between two or more numbers and variables.

Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.

Let x represent the amount of 22% and y represent the amount of 27%, hence:

x + y = 50     (1)

Also:

0.22x + 0.27y = 0.25(50)   (2)

From both equations:

x = 20 and y =30

The chemist needs 20 liters of 22% solution and 30 liters of 27% of solution to form 50 milliliters of a 25% solution

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Answer:

1. x=20 ; the angles are 90 degrees31 degrees 59 degrees

2. x=16; the angles are 16 degrees  92 degrees 72 degrees

Step-by-step explanation:

1. 180=90+31+(3x-1)

180-90-31=3x-1

59=3x-1

60=3x

x=20

plug in x for the third angle

2. 180= x+5x-8+3x+44

180=9x+36

180-36=9x

144=9x

x=16

plug in x to all the angles to find the real value

Answer:

D.) There are 30 g of protein in 6 tablespoons of peanut butter.

Step-by-step explanation:

Interpretation of the graph:

x-axis: tablespoons

y-axis: grams of protein.

Which statement describes the meaning of the point (6, 30) on the graph?

(6,30) means that x = 6 and y = 30.

This means that in 6 tablespoons there are 30g of protein.

So the correct answer is:

D.) There are 30 g of protein in 6 tablespoons of peanut butter.

Answer:

The answer is D

Add the three heights together and divide by 3:

6 1/2 + 5 1/4 + 4 = 15 3/4

15 3/4 / 3 = 5 1/4

Mean = 5 1/4 inches

The odd one out in the set is "FOQZ." It deviates from the pattern  by the other sets, where the letters are arranged in Alphabetical order.

The set of letters "BCDEGPTV AJK FOQZ IY" seems to follow a specific pattern. If we examine the letters in each group, we can identify a difference that sets "FOQZ" apart from the others.

In the first group "BCDEGPTV," the letters are arranged in alphabetical order. Similarly, in the second group "AJK," the letters are also in alphabetical order. However, when we look at the third group "FOQZ," the letters do not follow alphabetical order.

Based on this pattern, we can conclude that the odd one out in the set is "FOQZ." It deviates from the pattern followed by the other sets, where the letters are arranged in alphabetical order.

It's worth noting that the pattern could be based on different criteria, such as the position of the letters in the alphabet or some other sequence. Without additional information or context, it is difficult to determine the exact pattern or reason for the deviation.

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(c) 15i + 4b ≥ 100 inequality represents this scenario.

To represent the scenario described in the problem, we need to use an inequality that relates the amount of money Emily spends on ink and brushes to the total amount of money she has available. Let's call the amount of ink Emily buys "x" and the number of brushes "y". Then the total amount of money she spends is:

Total cost = 8x + 18y

We want to know when this total cost is less than or equal to $100, so we can write:

8x + 18y ≤ 100

This inequality means that the total cost of ink and brushes must be less than or equal to the amount of money Emily has available. Therefore, the answer is (c) 15i + 4b ≥ 100.

Correct Question :

Emily has $100 extra to spend on supplies for her T-shirt-making business. She wants to buy ink, i, which costs $8 a bottle, and ne brushes, b, which are $18 each. Which inequality below represents this scenario?

a) 4i+100 ≤ 15b

b) 15i + 4b ≤ 100

c) 15i + 4b ≥ 100

d) 4i + 15b ≤ 100

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The true statement for the given graph is the vertex is (-1, -3).

A parabola is a curve where any point is at an equal distance from: a fixed point called the focus, and the fixed straight line called the directrix.

Given is a graph of a parabola, we need to determine the correct statements for the graph,

The graph is having the axis of symmetry at x = -1, so the first option is wrong.

The range y is y < 0, so the second option is also wrong,

There is no y-intercept.

Lastly, the vertex is at (-1, -3) therefore this option is correct.

Hence, the true statement for the given graph is the vertex is (-1, -3).

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Answer:

read in photo

Step-by-step explanation:

hope this helps you♥️♥️

The value of n can be determined by finding the number of visible arcs in the pattern, which is 30 in this case.

To determine the value of n, we need to find the relationship between the total length of visible areas and the number of circles (n).

In the given pattern, each circle contributes to the visible area twice: once as its circumference and once as the overlapping part with the adjacent circles. Since the circumference of each circle is 1 unit, the visible area contributed by each circle is 2 units.

Therefore, the total length of visible areas can be expressed as 2n. Given that the total length is 60 units, we can set up the equation:

2n = 60

Solving this equation, we find:

n = 60/2 = 30

Thus, the value of n is 30.

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Answer:

1

 \(B  =  7.07 \  cm\)

2

\(A  =848.4 cm^2 \)

3

\(A_T  = 948.37 \  cm^2 \)

Step-by-step explanation:

From the question we are told that  

   The lateral edge of a square prism is  \(d = 30 \ cm = 0.3 \ m\)

    The angle of inclination is  \(\theta = 70^o\)

    The volume of the prism is  \(V = 1500\ cm^3\)

Generally the base of the prism is mathematically represented as

     \(B  =  \sqrt{\frac{V}{ d} }\)

=>   \(B  =  \sqrt{\frac{1500}{ 30} }\)

=>   \(B  =  7.07 \  cm\)

Generally the lateral  area of the prism is mathematically represented as

       \(A  = 4 *  B  *  d\)

=>     \(A  = 4 *  7.07  *  30 \)

=>     \(A  =848.4 cm^2 \)

Generally the total area of the prism is mathematically represented as

     \(A_T  =  2 * B  + A\)

=>   \(A_T  =  2 * (7.07)  + 848.4\)

=>   \(A_T  = 948.37 \  cm^2 \)

Answer:

itll take her < or equal to 7 trips

Step-by-step explanation:

1 8/8 = 2 gallons

13 1/2 </ (2xb)

13 1/2 </ 2x7

13 1/2 </ 14

13 1/2 = 7

13 1/2 = 7

Answer: The answer is 1/2

Rounding the answer to two decimal places, the relative frequency of students with red hair among the sample population of students with gray eyes is approximately 0.63. Option D

To find the relative frequency of students with red hair among the sample population of students with gray eyes, we need to divide the number of students with gray eyes and red hair by the total number of students with gray eyes.

From the given table, we can see that there are 22 students with gray eyes and red hair.

The total number of students with gray eyes is the marginal total for gray eyes, which is 35.

To find the relative frequency, we divide the number of students with gray eyes and red hair by the total number of students with gray eyes:

Relative frequency = Number of students with gray eyes and red hair / Total number of students with gray eyes

Relative frequency = 22 / 35

Simplifying the fraction, we have:

Relative frequency = 0.6286

Rounding the answer to two decimal places, the relative frequency of students with red hair among the sample population of students with gray eyes is approximately 0.63.

Therefore, the correct answer is option OD) 0.63.

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Answer: 0.00923521

Step-by-step explanation:

Given : The probability U.S households play video or computer games=69%=0.69

here, the probability of each U.S household play video or computer games is fixed as 0.69

Then, the probability of each U.S household not play video or computer games= 1-0.69=0.31

For independent events the probability of their intersection is product of probability of each event.

Now, the probability that none play video/computer games will be :-

\((0.31)^4=0.00923521\)

We cannot conclude that whether a subject lies or does not lie is independent of the polygraph test indication.

The test statistic needed to test the claim that whether a subject lies or does not lie is independent of the polygraph test indication is the chi-square statistic.

In this case, the grand total is 90. The row totals are 57 and 33, and the column totals are 42 and 48. The expected frequencies are as follows:

The chi-square statistic is calculated as 0.177. The p-value for the chi-square statistic is calculated using a chi-square table. The degrees of freedom for the chi-square table are the number of rows minus 1, multiplied by the number of columns minus 1.

Since the p-value is greater than 0.05, we fail to reject the null hypothesis. We cannot conclude that whether a subject lies or does not lie is independent of the polygraph test indication.

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if we will divide 137 with 100 and then multiply it with 680 you will gett your answer

the answer is 931.6

Answer:

931.6

Step-by-step explanation:

We need to change the percent to decimal form.

137%  = 1.37

Multiply this by 680.

1.37 * 680

931.6

Answer:

do 27/3...............

Answer:

12

Step-by-step explanation:

Back Knowledge: Being proportional is basically being an equivalent ratio.

#1: Think of the ratio being 3:7 (x,y)

#2: Since y is 28 which is the 7 in the ratio we need to think about how we can get it to 28. -> (7 x 4 = 28)

#3: Now if we do something to one side we need to do it to the other.

Since we multiplied 27 by 4 we need to multiply 3 by 4. :)

All Steps: (3:7) -> (3:28) -> (12:28)

Answer:

it will take at least 9 years for Lucy's investment to grow to more than $5,000. Since we can't have a fraction of a year, the answer is 10 years (rounded up from 9.09).

Step-by-step explanation:

We can solve this problem by using the formula for compound interest:

A = P(1 + r/n)^(nt)

where:

A = the amount of money in the account after t years

P = the initial investment (principal), which is $4,000 in this case

r = the interest rate per year, which is 3% expressed as a decimal (0.03)

n = the number of times the interest is compounded per year (we'll assume it's compounded annually, so n = 1)

t = the number of years

We want to find the number of years t it will take for the account balance to exceed $5,000. So we can set up the following inequality:

A > 5000

Substituting the values we have into the compound interest formula and simplifying, we get:

4000(1 + 0.03/1)^(1t) > 5000

Simplifying further, we get:

1.03^t > 1.25

To solve for t, we can take the logarithm of both sides of the inequality:

log(1.03^t) > log(1.25)

t*log(1.03) > log(1.25)

t > log(1.25) / log(1.03)

Using a calculator, we find that:

t > 9.09

a.P5 is the last player in the fixed order, they will make the last cut and get their share at the end of round 1. b. P5's share is worth $1.50. c.the value of P5's share would still be $1.50.

a. The last-diminisher method means that each player takes turns making a cut and claiming a piece. The player who gets their share at the end of round 1 is the player who makes the last cut. Since P5 is the last player in the fixed order, they will make the last cut and get their share at the end of round 1.

b. The value of the share to P5 is the total value of the sub divided by 5, minus the sum of the values of the pieces claimed by the other players before them. The total value of the sub is $30, so the value of P5's share is:

($30/5) - ($6 + $8 + $7) = $1.50

So P5's share is worth $1.50.

c. If the values were as follows:

P2 P3 P4 P5

Value of current claimed piece $6.00 $8.00 $7.00 $4.50

Then the player who gets their share at the end of round 1 would still be P5, since they have the lowest value of the current claimed piece. The value of P5's share would be:

($30/5) - ($6 + $8 + $7) = $1.50

So the value of P5's share would still be $1.50.

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Answer:

Step-by-step explanation:

A lot of math is about identifying and matching patterns. Often, the patterns have an associated vocabulary. It helps to learn the patterns and the associated words.

__

Pattern: a(b +c) ⇔ ab +ac . . . description: distributive property

Pattern: a = b ⇒ a +c = b +c . . . description: addition property of equality

Pattern: a = b ⇒ a/c = b/c . . . description: division property of equality

Patterns: a -a = 0; a + 0 = a . . . description: properties of the additive inverse and the additive identity element

Patterns: a×(1/a) = 1; a×1 = a . . . description: properties of the multiplicative inverse and the multiplicative identity element

__

When parentheses come or go, the distributive property is usually involved. In the second line, you need to recognize that -2(3y) = -6y and that -2(-7) = +14. The result on the left is from applying the distributive property to remove parentheses.

The third line differs from the second line in that -14 shows up on both sides of the equal sign. This is a clue that the addition (or subtraction) property of equality is involved.

The fourth line differs from the third in that +14-14 disappeared from the left side, and -4-14 was replaced with -18 on the right side. The sum of a number and its opposite is zero, a property of the additive inverse. The fact that -4-14 = -18 is a property of real numbers. (You have to decide the best drop-down choice for that line.)

The fifth line shows both sides of the equation divided by -6. The multiplication (division) property of equality lets you do that.

The last line shows a simplification of the previous one. Again, the properties of real numbers and of the multiplicative inverse are involved. (You have to decide the best drop-down choice for that line.)

Step-by-step explanation:

the probability that the ticket will win you 600 dollars * 1/1500 = 600/1500.

the probability that the ticket will win you 50 dollars is 50 * 5/1500 = 250/1500.

the probability that the ticket will win you 25 dollars is 25 * 20/1500 = 500/1500.

your expected value is -1 + 600/1500 + 250/1500 + 500/1500 = -.1.

the average loss for each dollar that is bet is equal to 10 cents.

hope this helped