3 1/5x+10 7/9-2 2/5x-10 8/9 (Simplify) I need the answer to this ASAP!

Answer:

z=1/2 and z=3/2

Step-by-step explanation:

The radio station can reach around 1,030,400 people within its coverage area.

Using the equation, calculate the size of the circular circle that the radio station signal can cover.

A = πD²/4 is the area and D is the diameter. using the pi-number 3.14.

r = 120 / 2 = 60 miles

The density of the area:  100 people per sq. mile

A = r² π = 60² · 3.14 = 3600 · 3.14 = 11,304 sq. miles

11,304 · 100 = 1,030,400

or

A = (3.14)(120 mi) (120 mi)

² / 4 \s A = 11304 mi²

being aware that 100 individuals reside in each square mile.

total population receiving the signal =11304 mi² x (100 people / 1 mi²)

                                   = 1,130,400

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Answer:

hol up

x=-1/8  negative one over eight

Step-by-step explanation:

Answer:

A. 525 feet

Step-by-step explanation:

If every hour their altitude increased by 135 then their would be an increase of 675 (135 × 5) after 5 hours. To find their altitude 5 hours earlier then you would subtract 675 from their current altitude. 1,200-675=525 feet

(1) The set of equivalent classes of an equivalence relation R on set A is a partition on A.

(2) Conversely, given a partition of set A, there exists an equivalence relation on A such that this partition is the set of its equivalence classes.

(5) The relation R={(x, y)∈R+×R+|x≤y} is not a partial order on R+ because it does not satisfy the antisymmetry property.

(1) Let R be an equivalence relation on set A. We want to prove that the set of equivalent classes of R is a partition on A.

To show this, we need to demonstrate three properties of a partition:

(i) Every element in A belongs to at least one equivalent class:

Since R is an equivalence relation on A, for every element a in A, there exists an equivalent class [a] such that a is an element of [a]. Therefore, every element in A belongs to at least one equivalent class.

(ii) No two distinct equivalent classes have any elements in common:

Suppose there exist two distinct equivalent classes [a] and [b] such that there is an element c that belongs to both [a] and [b]. Since c belongs to [a], it implies that c is equivalent to a. Similarly, c belongs to [b], which implies c is equivalent to b. Since equivalence relations are transitive, if a is equivalent to c and c is equivalent to b, then a must be equivalent to b. This contradicts the assumption that [a] and [b] are distinct equivalent classes. Therefore, no two distinct equivalent classes can have any elements in common.

(iii) The union of all equivalent classes is equal to A:

Let's assume there exists an element a in A that does not belong to any equivalent class. Since R is an equivalence relation, a is equivalent to itself, which means a belongs to the equivalent class [a]. This contradicts the assumption that a does not belong to any equivalent class. Therefore, every element in A belongs to at least one equivalent class. Additionally, since every element in A belongs to exactly one equivalent class, the union of all equivalent classes is equal to A.

Based on the three properties demonstrated above, we can conclude that the set of equivalent classes of R is a partition on A.

(2) Let's verify the three properties of the equivalence relation:

(i) Reflexivity: For every element a in A, (a, a) belongs to the equivalence relation.

Since a belongs to the same subset as itself, (a, a) satisfies the reflexivity property.

(ii) Symmetry: If (a, b) belongs to the equivalence relation, then (b, a) also belongs to the equivalence relation.

If a and b belong to the same subset, it implies that (b, a) also belongs to the same subset, satisfying the symmetry property.

(iii) Transitivity: If (a, b) and (b, c) belong to the equivalence relation, then (a, c) also belongs to the equivalence relation.

If a and b belong to the same subset, and b and c belong to the same subset, it implies that a and c also belong to the same subset, satisfying the transitivity property.

Therefore, we have shown that the given partition of A defines an equivalence relation on A, where each subset of the partition corresponds to an equivalence class.

Hence, we have proved both statements (1) and (2).

(5) To determine if R={(x, y)∈R+×R+|x≤y} is a partial order on R+ (the set of positive real numbers), we need to verify three properties:

(i) Reflexivity:

For every x in R+, (x, x) belongs to R, since x is always less than or equal to itself.

(ii) Antisymmetry:

The relation R={(x, y)∈R+×R+|x≤y} does not satisfy the antisymmetry property. Consider the example where x = 2 and y = 3. Both (2, 3) and (3, 2) belong to R since 2 ≤ 3 and 3 ≤ 2. However, x ≠ y, violating the antisymmetry property.

(iii) Transitivity:

The relation R={(x, y)∈R+×R+|x≤y} satisfies the transitivity property. If (x, y) and (y, z) belong to R, it means that x ≤ y and y ≤ z. By the transitive property of real numbers, it follows that x ≤ z. Therefore, (x, z) belongs to R.

Since R does not satisfy the antisymmetry property, it cannot be considered a partial order on R+.

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Answer:

I think D

Step-by-step explanation:

Answer:

Step-by-step explanation:

four and one quarter yards. explanation: add 1 1/6 + 3/12 = 1 5/12. now, multiply that by 3.

Using the arithmetic operations the total yards of metal is needed 4(1/4).

The study and application of numbers in all other branches of mathematics is the focus of the branch of mathematics known as arithmetic operations. In essence, it consists of addition, subtraction, multiplication, and division operations.

According to the given:

First pieces of metal =  1 (1/6)

                                 = 7/6

Then Second pieces of metal = 3/12

Adding both the pieces, we have

=7/6 + 3/12

= (14 + 3)12

= 17/12.

now multiply that by 3.

We get,

= (17/12)3

= 17/4

= 4(1/4)

Using the arithmetic operations the total yards of metal is needed 4(1/4).

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a. The data does not provide sufficient evidence to conclude that the cream will improve the skin of more than 50% of women at a significance level of 0.01.  b. The rejection region for the test is x ≥ 2.33 or x ≤ -2.33.

The hypotheses for this test are H0: p ≤ 0.50 (the proportion of women with improved skin is less than or equal to 50%) and Ha: p > 0.50 (the proportion of women with improved skin is greater than 50%). To calculate the test statistic, we need to determine the observed proportion of women with improved skin (p). From the given data, we see that out of 39 women, there are 19 who showed improvement. Therefore, p = 19/39 ≈ 0.487.

Since the test statistic falls within the non-rejection region (-2.33 < x < 2.33), we do not reject the null hypothesis. This means that there is not enough evidence to conclude that the cream will improve the skin of more than 50% of women.

b. The rejection region for the test is x ≥ 2.33 or x ≤ -2.33. This means that if the test statistic falls outside this range, we would reject the null hypothesis.

The p-value of the test, which represents the probability of observing a sample proportion as extreme as or more extreme than the observed proportion under the null hypothesis, is approximately 0.3234. This value indicates that assuming the null hypothesis is true (i.e., p = 0.50), the probability of obtaining a sample proportion as far away from 0.50 or more extreme in favor of the alternative hypothesis is 0.3234. Since the p-value is greater than the chosen significance level of 0.01, we do not have enough evidence to reject the null hypothesis.

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The probability of being dealt two aces and one of them being the ace of spades is 1 in 221, or 0.45%.

The probability of being dealt two aces and one of them being the ace of spades is 1/221. This is because the chance of the first card being the ace of spades is 1/52 and the chance of the second card being an ace, given that the first card is an ace, is 3/51. Thus, the probability of both cards being aces and one of them being the ace of spades is 1/221.

Mathematically, this can be expressed as P(Ace of Spades, Ace) = P(Ace of Spades) x P(Ace|Ace of Spades) = (1/52) x (3/51) = 1/221.

This means that the probability of being dealt two aces and one of them being the ace of spades is 1 in 221, or 0.45%.

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The polar equation for this curve is: theta = pi/3 (or any angle that satisfies tan(theta) = sqrt(3))

To find the polar equation for the curve represented by the given Cartesian equations, we can use the conversion formulas between Cartesian and polar coordinates.

\(x^2 + y^2 = 25:\)

In polar coordinates, the conversion formulas are:

x = r cos(theta)

y = r sin(theta)

Substituting these values into the equation \(x^2 + y^2 = 25:\)

\((r cos(theta))^2 + (r sin(theta))^2 = 25\)

\(r^2 (cos^2(theta) + sin^2(theta)) = 25\)

\(r^2 = 25\)

The polar equation for this curve is simply:

r = 5

\(x^2 + y^2 = -8y:\)

In polar coordinates:

x = r cos(theta)

y = r sin(theta)

Substituting these values into the equation \(x^2 + y^2 = -8y:\)

\((r cos(theta))^2 + (r sin(theta))^2 = -8(r sin(theta))\)

\(r^2 (cos^2(theta) + sin^2(theta)) = -8r sin(theta)\)

\(r^2 = -8r sin(theta)\)

The polar equation for this curve is:

r = -8 sin(theta)

y = sqrt(3) x:

In polar coordinates:

x = r cos(theta)

y = r sin(theta)

Substituting these values into the equation y = sqrt(3) x:

r sin(theta) = sqrt(3) (r cos(theta))

r sin(theta) = sqrt(3) r cos(theta)

tan(theta) = sqrt(3)

The polar equation for this curve is:

theta = pi/3 (or any angle that satisfies tan(theta) = sqrt(3))

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Systematic sampling and cluster sampling are examples of probability sampling methods used in human research. These methods are employed to ensure that each participant in the population has a known, non-zero chance of being selected, which helps in obtaining representative samples and drawing more accurate conclusions.

Systematic sampling and cluster sampling are both examples of probability sampling methods used in human research.

Probability sampling methods involve randomly selecting participants from a larger population, giving each individual an equal chance of being selected.

Systematic sampling involves selecting every nth participant from a list of the population, while cluster sampling involves dividing the population into clusters or groups and then randomly selecting entire clusters to include in the study.

These methods are considered to be more representative and unbiased than non-probability sampling methods, which do not involve random selection and may not accurately reflect the characteristics of the population.

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It will take approximately 39.532 days for $9500 to earn $800 at an annual interest rate of 8.25%.

To find the number of days it will take for $9500 to earn $800 at an annual interest rate of 8.25%, we need to use the formula for simple interest:

Interest = Principal * Rate * Time

In this case, we are given the interest ($800), the principal ($9500), and the annual interest rate (8.25%). We need to solve for time.

Let's denote the time in years as "t". Since we're looking for the number of days, we'll convert the time to a fraction of a year by dividing by 365 (assuming a standard 365-day year).

$800 = $9500 * 0.0825 * (t / 365)

Simplifying the equation:

800 = 9500 * 0.0825 * (t / 365)

Divide both sides by (9500 * 0.0825):

800 / (9500 * 0.0825) = t / 365

Simplify the left side:

800 / (9500 * 0.0825) ≈ 0.1083

Now, solve for t by multiplying both sides by 365:

0.1083 * 365 ≈ t

t ≈ 39.532

Therefore, it will take approximately 39.532 days for $9500 to earn $800 at an annual interest rate of 8.25%.

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Step-by-step explanation:

A shows the initial value or y intercept.

Why.

A exponential function is shown as

\(a(b {}^{x} )\)

If we are trying to find the y intercept, we first set this equal to y

\(a( {b}^{x} ) = y\)

Set x=0

\(a {b}^{0} = y\)

And solve for y.

Remeber that anything raised to the zero power is 1. So

\(b {}^{0} = 1\)

So we have

\(a(1) = y\)

Anything times 1 is itself so we have

\(a = y\)

This means that the y intercept of a exponential function is (0,a). A gives us the y intercept.

I believe that its easier to understand the multiplication of a radical than that of a polynomial.

In mathematics, a radical is the opposite of an exponent that is represented with a symbol '√' also known as root.

A polynomial is an expression which is composed of variables, constants and exponents, that are combined using the mathematical operations such as addition, subtraction, multiplication and division.

When multiplying radicals with the same index, multiply under the radical, and then multiply in front of the radical. An example is:

= 3✓2 × 4✓2

= 12✓4

= 12 × 2

= 24

The multiplication of a radical is easier.

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Answer:

13,377 in one week

Step-by-step explanation:

2100*0.09=189

2100-189=1911

1911*7=13,377

hope that helps

Answer:

THANK YOU?

Step-by-step explanation:

DNSNJSMSNNFJD

Please, give me brainliest

Answer:THe answer is 98.78x

Step-by-step explanation:

2r34 means 567

Answer:

They are similar by the definition of similarity in terms of a dilation

Step-by-step explanation:

The given vertices of triangle ΔABC are;

A(1, 5), B(3, 9), and C(5, 3)

The vertices of triangle ΔDEF are;

D(-3, 3), E(-2, 5), and F(-1, 2)

Therefore, we get;

The length of segment, \(\overline{AB}\) = √((9 - 5)² + (3 - 1)²) = 2·√5

The length of segment, \(\overline{BC}\) = √((9 - 3)² + (3 - 5)²) = 2·√10

The length of segment, \(\overline{AC}\) = √((5 - 3)² + (1 - 5)²) = 2·√5

The length of segment, \(\overline{DE}\) = √((5 - 3)² + (-2 - (-3))²) = √5

The length of segment, \(\overline{EF}\) = √((2 - 5)² + (-1 - (-2))²) = √10

The length of segment, \(\overline{DF}\) = √((2 - 3)² + (-1 - (-3))²) = √5

∴ \(\overline{AB}\)/\(\overline{DE}\) = 2·√5/(√5) = 2

\(\overline{BC}\)/\(\overline{EF}\) = 2·√10/(√10) = 2

\(\overline{AC}\)/\(\overline{DF}\) = 2·√5/(√5) = 2

The ratio of their corresponding sides are equal and therefore;

ΔABC and ΔDEF are similar by the definition of similarity in terms of dilation.

The probability that out 9 males and 7 females, exactly 3 males and 3 females are chosen is 0.3671

The problem tp solve is selection of 6 people which are made up of  3 males and 3 females from 9 males and 7 females

number of ways to choose exactly 3 male and 3 female

= number of ways of selecting males * number of ways of selecting females

number of ways of selecting males

= 9 combination 3

= ⁹C₃

= 9! / (3! * (9 - 3)!)

= 84 ways

number of ways of selecting females

= 7 combination 3

= ⁷C₃

= 35 ways

number of ways = 35 * 84 = 2940 ways

number of ways to choose 6 people from 16 persons (9 male + 7 female)

= 16 combination 6

= ¹⁶C₆

= 8008 ways

The probability

= 2940 / 8008

= 0.3671

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Answer: B, Two solutions

Step-by-step explanation:

Answer:

can you take a clear pic pls

i thing that would help me solve the answer

Step-by-step explanation:

Answer:

B,C and E

Step-by-step explanation:

The period can be calculated by dividing 2pi by the coefficfient of the x, so in this case 1. And we'll get 2pi/1 = 2pi.

The function clearly has a minimum of -2, you can see that from the table.

Same thing for the maximum = 4.

Answer:

See Photo

Step-by-step explanation:

Plato/Edmentum

Answer:6.7

Step-by-step explanation: Just divide 80 by 12 you get 6.6 so round up

The Year 4, Q1 forecast using exponential smoothing with α = 0.35 and an initial forecast of 417, along with seasonality, is 335.88.

Exponential smoothing is a forecasting technique that takes into account both the historical demand and the trend of the data. It is calculated using the formula:

Forecast = α * (Demand / Seasonal Index) + (1 - α) * Previous Forecast

Initial forecast (Previous Forecast) = 417

α (Smoothing parameter) = 0.35

Demand for Year 4, Q1 = 307

Seasonal Index for Q1 = 0.762

Using the formula, we can calculate the Year 4, Q1 forecast:

Forecast = 0.35 * (307 / 0.762) + (1 - 0.35) * 417

        = 335.88

Therefore, the Year 4, Q1 forecast using exponential smoothing with α = 0.35 and an initial forecast of 417, along with seasonality, is 335.88.

The forecasted demand for Year 4, Q1 using exponential smoothing is 335.88.

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Simplifying

10 = 2r + -8

Reorder the terms:

10 = -8 + 2r

Solving

10 = -8 + 2r

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-2r' to each side of the equation.

10 + -2r = -8 + 2r + -2r

Combine like terms: 2r + -2r = 0

10 + -2r = -8 + 0

10 + -2r = -8

Add '-10' to each side of the equation.

10 + -10 + -2r = -8 + -10

Combine like terms: 10 + -10 = 0

0 + -2r = -8 + -10

-2r = -8 + -10

Combine like terms: -8 + -10 = -18

-2r = -18

Divide each side by '-2'.

r = 9

Simplifying

r = 9

Answer:

r = -1

Step-by-step explanation:

subtract 10 from both sides

2r = -2

divide both sides by 2

r = -1

The probability of choosing another white marble is:11/27 = 0.4074 (rounded to four decimal places).This can be calculated by dividing the number of white marbles left in the box by the total number of marbles left in the box.

Since the first marble chosen there are now 11 white marbles and 15 total marbles remaining in the box.
The probability of choosing another white marble, use the following fraction:
(Number of white marbles remaining) / (Total marbles remaining)
Probability = 11/15
To express this as a decimal rounded to four decimal places:
Probability = 11 ÷ 15 ≈ 0.7333
So, the probability of choosing another white marble is 11/15 or 0.7333.

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To expand its manufacturing capacity with a $20 million investment in new machinery while maintaining its current capital structure and dividend policy, Gardial GreenLights must seek external equity of $8 million.

The capital structure of Gardial GreenLights is characterized by a 50% debt-to-total-assets ratio. Since the company plans to maintain this ratio, the remaining 50% of the assets must be financed through equity. The investment in new machinery is $20 million, which represents 50% of the total assets needed for expansion. Therefore, the total assets required for expansion would be $40 million (20 million divided by 0.5). To determine the amount of external equity needed, we subtract the company's existing equity from the total assets required. Given that the company's dividend policy entails distributing 25% of the year's net income, we can calculate the retained earnings. This year's net income was $8 million, and 25% of that ($2 million) would be distributed as dividends. Therefore, the retained earnings amount to $6 million ($8 million - $2 million). Since external equity is the difference between the total assets required and retained earnings, Gardial GreenLights must seek external equity of $34 million ($40 million - $6 million) to finance its expansion plans.

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Answer:

Yo mean correct way??

yo can divide minute by 60 to convert minute into hour

For example

To convert 10 minute into hour. then we should divide 10 by 60. 10/60

Answer:

In any conversion you have to establish  ratios (or rates) for the different units being converted.

The process will be performed by a series of multiplications that will cancel out the "unwanted" units.

multiplication by one (1) does not change the value in an equation.

you have to multiply by a "series of ones" that take into account the units being converted..

for example  

1 minute/60 seconds   or  1 inch = 2.54 cm   or  1 day = 24 hours

in your problem you have minutes... lets say you have 100 minutes

100 minutes * 1 hour             minutes cancel and you have  100/60 = 1 \(\frac{2}{3}\) hrs

                       60 minutes

Step-by-step explanation: