The formula for the lateral area of a right cone is LA = rs, where r is the radius of the base and s is the slant height of the cone.

Which are equivalent equations? Select two correct answers.

In order for the associate to meet her objective of making at least $800, she must sell at least $17,500 worth of jewelry.

We must figure out how many sales are necessary to get that income.

Let's write "S" to represent the sales amount.

The associate's base pay is $450 per week, and she receives a commission of 2% of her sales. Her commission is therefore equal to 0.02S (2% of sales), which can be computed.

The total income must be at least $800 in order for her to fulfill her goal. As a result, we may construct the equation shown below:

Base Salary + Commission ≥ Goal

$450 + 0.02S ≥ $800

Now, we can solve the inequality to find the minimum sales amount:

0.02S ≥ $800 - $450

0.02S ≥ $350

Divide both sides by 0.02 to isolate 'S':

S ≥ $350 / 0.02

S ≥ $17,500

Therefore, In order for the associate to meet her objective of making at least $800, she must sell at least $17,500 worth of jewelry.

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Answer:

D. Kari added the compatible numbers –12 and 4.

Step-by-step explanation:

Kari estimated the quotient of Negative 12 and one-fifth divided by 4 and two-fifths to be –8. Which best describes her error?

-12 1/5 ÷ 4 2/5 = -8

A. Kari multiplied the compatible numbers –12 and 4.

-12 * 4 = 48

A. Is not correct

B. Kari found that the quotient of a negative number and a positive number is negative.

Example:

-a/a = -1

The rule is right

C. Kari found that the quotient of a positive number and a negative number is positive.

a/-a = -1

The rule is wrong

D. Kari added the compatible numbers –12 and 4.

= -12 + 4

= -8

Therefore, Kari error was that she added the compatible numbers –12 and 4.

Answer:

The Greatest Common Factor (GCF) for 7 and 35, notation CGF(7,35), is 7. Explanation: The factors of 7 are 1,7; The factors of 35 are 1,5,7,35..

Step-by-step explanation:

The greatest height reached by the kite when its string makes an angle of 60 degrees with the level ground is approximately 86.602540378 meters.

The height reached by the kite can be found using the Pythagorean theorem. If we consider a right triangle with one side equal to the length of the string (100 m), one side equal to the height of the kite (h), and one side equal to the horizontal distance from the kite to the person holding the string (x), then we have:

x = 100 * sin(60°)

h = 100 * cos(60°)

Using the sine and cosine values, we find that:

x = 100 * sin(60°) = 50 m

h = 100 * cos(60°) = 50 * √3 m

Therefore, the greatest height reached by the kite is 50 * √3 m, or approximately 86.602540378 m.

It's important to note that the height reached by the kite is determined by the angle that the string makes with the ground. In this case, the angle is 60°, so the height is at its maximum value. If the angle were smaller, the height would be less, and if the angle were greater, the height would be greater.

It's also worth mentioning that the height of the kite is constantly changing as it flies, so this answer gives the greatest height reached by the kite when the ground and the string are at a 60° angle.

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Answer:

75

Step-by-step explanation:

$15 x 5hrs = $75

Answer:

They will meet at the marker 83 1/3 km

Step-by-step explanation:

Here, we want to know the number of miles at which they meet

mathematically;

distance = speed * time

As we know, they will meet at the same time

So, we can equate this

The car would have traveled x mph when they meet while the train would have traveled 150-x mph when they meet

The time for the car will be x/75

Time for the train will be (150-x)/60

The times are equal;

x/75 = 150-x/60

60(x) = 75(150-x)

60x = 11250-75x

75x + 60x = 11250

135x = 11,250

x = 11250/135

x = 83 1/3 mph

Answer:

About 7,500

Step-by-step explanation:

Answer:

3 x 10^6 or option 3

Step-by-step explanation:

(6x10^11) = 600000000000

(2x10^5) = 200000

3000000

Count the zeros - the number of zeros there are will be the exponent of 10 3 is the first digit in 3000000

3 x 10^6

6/2=3

11-5=6

Keep the 10 as is

(3 x 10^6) or option 3

Answer:

here is your answer

Step-by-step explanation:

Sample: selected 50 adult residents by marketing research firm

In statistics  a data sample is a set of data collected and the world selected from a statistical population by a defined procedure and refers to a set of observations drawn from a population.  The elements of a sample are known as sample points or sampling units or observations. Often, it is necessary to use samples for research, because it is impractical to study the whole population.

To calculate the probability that all 50 residents in a particular neighborhood end up being the sample of residents selected, we need to consider the total population size and the number of residents in that neighborhood.

Let's assume there are N total adult residents in the suburb, and n residents in the particular neighborhood of interest. The probability of selecting all 50 residents from that neighborhood can be calculated using the hypergeometric distribution.

The probability can be calculated as follows:

P(all 50 residents from the neighborhood) = (nC50) / (NC50)

Where nC50 represents the number of ways to choose 50 residents from the neighborhood, and NC50 represents the number of ways to choose 50 residents from the entire population.

Here population:   resident of the city council in a suburb of Raleigh

Therefore, sample: selected 50 adult residents by marketing research firm.

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Answer:

C. s= 85m + 45

Step-by-step explanation:

Given data

She opened the account with $85

and deposited $85

The equation that best models the relationship is

s= 85m + 45

Hence option C is correct

Step-by-step explanation:

Let the number originally be "x".

Then, According to the question,other number is 3 times [3*] greater as other.

Sum of these two numbers is 24.

ATP, equation'll be :

Solving:

Therefore,one number[x] is 6.

Other number :

There are 10560 ways we form a subcommittee of 5 members that have at least one member from each party.

Combinations are defined as the selections made by taking some or all of a number of objects, irrespective of their arrangements.

The number of combinations of n different things taken r at a time, denoted by nCr and it is given by,

\(^nC_{r} =\frac{n!}{r!(n-r)!}\)

where 0 ≤ r ≤ n.

The given information is committee has 8 republicans and 6 democrats.

we have to form a subcommittee of 5 members with at least one from each group.

Hence we need to select one from each and then the remaining 3 can be of any type.

No of ways =  ⁸C₁*⁶C₁*¹²C₃

                    = 48*220

No of ways=10560 ways.

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The graphical solution to the inequality is attached below with the solution at coordinate (50, 45).

Groups :

Total of atleast 95 :

Atmost Five less students in Y than in X :

Using graphical inequality solver or calculator :

Hence. The solution to the inequality is (50, 45) and the graph is attached below.

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Answer:

set two equation of line y=ax+b and y=cx+d

when these two lines are perpendicular to each other, then a*c=(-1)

set answer is y=ax+b

we can know that a=1/6

bring in a=1/6 and(-4,5)

5=(1/6)*(-4)+b

=>5=(-2/3)=b

=>b=5 2/3

answer is y=(1/6)x+5 2/3

LCL and UCL values of both scenarios are (158.61,161.39),(69.65,70.35) respectively.

To calculate the lower confidence limit (LCL) and upper confidence limit (UCL) for each given scenario, you'll need to use the following formula:

LCL = X - (z * (sigma / √n))
UCL = X+ (z * (sigma / √n))

where X is the sample mean, n is the sample size, sigma is the population standard deviation, and z is the z-score corresponding to the desired confidence level (1 - alpha).

First Scenario:
X = 160, n = 436, sigma = 30, alpha = 0.01

1. Find the z-score for the given alpha (0.01).
For a two-tailed test, look up the z-score for 1 - (alpha / 2) = 1 - 0.005 = 0.995.
The corresponding z-score is 2.576.

2. Calculate LCL and UCL.
LCL = 160 - (2.576 * (30 / √436)) ≈ 158.61
UCL = 160 + (2.576 * (30 / √436)) ≈ 161.39

First Scenario Result:
LCL = 158.61
UCL = 161.39

Second Scenario:
X= 70, n = 323, sigma = 4, alpha = 0.05

1. Find the z-score for the given alpha (0.05).
For a two-tailed test, look up the z-score for 1 - (alpha / 2) = 1 - 0.025 = 0.975.
The corresponding z-score is 1.96.

2. Calculate LCL and UCL.
LCL = 70 - (1.96 * (4 / √323)) ≈ 69.65
UCL = 70 + (1.96 * (4 / √323)) ≈ 70.35

Second Scenario Result:
LCL = 69.65
UCL = 70.35

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Answer:

Volume of wheat = 147.26 m³ (check the explanation)

Step-by-step explanation:

The question still lacks some details such as the size of the silo. We will go forward by assuming the size of the silo to aid our calculation. Silos are cylindrical storage structures that range from 3 - 27 m in diameter and 10 - 90 m in height. For the purpose of this question, let's assume that the size of the silo is 5 m (diameter) by 15 m (height).

Let's list out the parameters to be used:

diameter (D) = 5 m; r = D ÷ 2 ⇒ r = 5/2 = 2.5 m,

height (h) = 15 m

Volume of silo = πr²h = π * 2.5² * 15

V (silo) = 294.52 m³

The silo is half full ⇒ ½ * V

Volume of wheat stored is given by half of the silo volume, since the silo is half-full

V (wheat) = ½ * 298.52

V (wheat) = 147.26 m³

Mathematics → Solid Figures → Volume

The volume of a cylinder is:

In this question,

r = 2 ft (4/2 =2)

h = 5 ft

Then, the volume of the cylinder is (Vc):

Using π = 3:

The volume of a rectangular prism (Vr) is:

In this question:

l = 9 ft

w = 5 ft

h = 5 ft

Then, the volume of the rectangular prism is:

The volume of the object (V) is the sum of the volumes:

Answer: 285 ft³.

c. Moon, d. Triangle, e. Square, h. Heart morphologies are synapomorphic from building your tree in the clade race.

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A domain is the set of all possible input values for a function or relation. In these questions, the domain is not specified.

A relation is a set of ordered pairs that relates elements from two sets. In these questions, we are given relations defined by sets of ordered pairs.

To determine if a relation is a well-defined function, we need to check if each input has exactly one output. In other words, we need to check if there are no repeated inputs with different outputs.

1) The relation R given by {(x, y) : sin2 x + cos2 x = y} is a well-defined function because for every x in the domain, there is only one corresponding y. This is because sin2 x + cos2 x always equals 1, so there are no repeated inputs with different outputs.

2) The relation R given by {(x, y) : y = tan x} is not a well-defined function because there are multiple x values that correspond to the same y value. For example, tan(0) = 0 and tan(pi) = 0, so there are repeated inputs with the same output.

3) The relation R given by {(x, y) : xy = 1} is a well-defined function only if the domain excludes 0. This is because if x=0, then the relation is undefined. For all other values of x, there is only one corresponding y that makes the relation true.

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Solution to given logarithmic equations and inequalities are;

x = 1

x = 9

x = 261

x = 10/3

x = 4

3x² - 2x - 1 = 0

x = 1 or x = -1/3

x = 13

x = 0

x = 0 or x = 5

1. 3x = log6 216

Using the definition of logarithm, we have:

\(6^{3x} = 216\)

\(6^{3x} = 6^3\)

3x = 3

x = 1

2. x - 4 = log3 243

Using the definition of logarithm, we have:

\(3^{x - 4} = 243\)

\(3^{x - 4} = 3^5\)

x - 4 = 5

x = 9

3. log4 (4x - 20) = 5

Using the definition of logarithm, we have:

4⁵ = 4x - 20

1024 = 4x - 20

4x = 1044

x = 261

4. log9 (3 - x) = log9(5x – 15)

Using the property of logarithms that states that if log a b = log a c, then b = c, we have:

3 - x = 5x - 15

20 = 6x

x = 10/3

5. log81 (x + 20) = log81 (6x)

Using the property of logarithms that states that if log a b = log a c, then b = c, we have:

x + 20 = 6x

20 = 5x

x = 4

6. log9 (3x²) = log9 (2x + 1)

Using the property of logarithms that states that if log a b = log a c, then b = c, we have:

3x² = 2x + 1

3x² - 2x - 1 = 0

7. Using the quadratic formula, we have:

x = (-(-2) ± √((-2)² - 4(3)(-1))) / (2(3))

x = (2 ± √(16)) / 6

x = (2 ± 4) / 6

x = 1 or x = -1/3

8. log4(x - 1) = log4(12)

Using the property of logarithms that states that if log a b = log a c, then b = c, we have:

x - 1 = 12

x = 13

9. log7(5 - x) = log7 (5)

Using the property of logarithms that states that if log a b = log a c, then b = c, we have:

5 - x = 5

x = 0

10. logx (5x) = 2

Using the definition of logarithm, we have:

x² = 5x

x² - 5x = 0

x(x - 5) = 0

x = 0 or x = 5

Note that x = 0 is not a valid solution, since log 0 is undefined. Therefore, the only solution is x = 5.

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Answer:

x = 11

The value "11" makes the equation true.

2 ( x - 5 ) = 12

2 ( 11 - 5 ) = 12

2 ( 6 ) = 12

12 = 12

Step-by-step explanation:

Answer:

6(3 + 2)

Step-by-step explanation:

Area = lb. where l = 6 and b = (3+2)

Answer:

\(-\frac{3}{5}\)

Step-by-step explanation:

so I like to think of slope as rise/run

the "rise" is the difference between the two y's and the run is the difference between the two x's. there isn't a particular order, but make sure that if you use the first coordinate's y first and then the second y, that you do the same for finding the difference between the x's because signs are important.

so, to solve this one:

\(\frac{10-13}{6-1} =\frac{-3}{5}\)

Answer:

x^2 - 10x = 46

Step-by-step explanation:

 \(\bold{Hello!}\\\bold{Your~Answer~Is~Below!}\)

______________________________

 \(\bold{Solution~Steps:}\)

\(1.)~Quadratic~equations~such~as~this~one~can~be~solved~by~completing\\~the~square.~In~order~to~complete~the~square,~the~equation~must~first~be~in~the~form:\)

\(2.)~Divide-10~by~2:\)

\(3.)~Add~the~square~of -5~to~both~sides~of~the~equation:\)

\(4.)~Factor~x^2-10x+25:\)

\(5.)~Take~the~square~root~of~both~sides:\)

______________________________

 \(\bold{Answer:}\)

______________________________

 \(\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~~~-TotallyNotTrillex}\)

The coordinates of X that partitions XY in the ratio 5 to 4 include the following: X (-1.6, -7).

In this scenario, line ratio would be used to determine the coordinates of the point X on the directed line segment AB that partitions the segment into a ratio of 5 to 4.

In Mathematics and Geometry, line ratio can be used to determine the coordinates of X and this is modeled by this mathematical equation:

M(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

By substituting the given parameters into the formula for line ratio, we have;

M(x, y) = [(5(2) + 4(-6))/(5 + 4)],  [(5(-11) + 4(-2))/(5 + 4)]

M(x, y) = [(10 - 24)/(9)],  [(-55 - 8)/9]

M(x, y) = [-14/9],  [(-63)/9]

M(x, y) = (-1.6, -7)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The student covers a total distance of 22.05 kilometers in a week's time, walking between the park and the house each day.

To find the total distance covered by the student in a week's time, we need to calculate the distance covered in one round trip (from the house to the park and back) and then multiply it by the number of round trips in a week.

Given that the difference between the park and house is 1 kilometer and 575 meters, we can convert it to a total distance of 1.575 kilometers.

In a round trip, the student covers twice the distance between the park and the house, which is 1.575 kilometers * 2 = 3.15 kilometers.

Now, we need to determine how many round trips the student makes in a week. Let's assume the student makes one round trip each day.

Since there are 7 days in a week, the total distance covered by the student in a week's time is 3.15 kilometers * 7 = 22.05 kilometers.

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Answer:

math tutoring

Step-by-step explanation:

Answer:

Tutor

take notes

and study

but mostly take notes