Edge: Which equation has a focus at (–6, 12) and directrix of x = –12?

Answer:

he would have to pay $36.00

7.50p - 1.50

Step-by-step explanation:

Answer:

$36

expression: 1lb ($7.50) or x($7.50)

With coupon: x(7.50) - 1.50

Step-by-step explanation:

The equation which can be used to find x is, \(\bold{\frac{1}{x} =\frac{1}{14} +\frac{1}{10} }\)

The time taken by Franklin to make a 200 sq. foot cement patio = 14 hours

The time taken by Scott to make a 200 sq. foot cement patio = 10 hours.

Let x be the number of hours it would take Franklin and Scott to make the patio together.

Then x = 14 x 10 / (14 + 10)

⇒ 1 / x = (14+10)/(14 x 10)

⇒ 1/x = 1/14 +1/10

This is the equation to find the number of hours taken by Franklin and Scott together.

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Answer:

C

Edge2020

Step-by-step explanation:

Answer:

4 - show that corresponding angles are congruent

Step-by-step explanation:

I believe this is the answer you're looking for

Answer:

35v

Step-by-step explanation:

5(6v)+5v

\(5 \times 6v + 5v \\ 30v + 5 \\ combine \: the \: terms \\ = 35v\)

Answer:

35v

Step-by-step explanation:

5 times 6v = 30v, then you add 5v which gives you 35v. Hope that helps :)

Answer:

well if it's 8 on bottom that means it has to be 8 on top and the right side add these together and you have perimeter

The population size of the protozoa after seven days, starting with an initial population of five members and a constant relative growth rate of 0.469 per member per day, can be calculated using the formula\(P(t) = 5 * e^{(0.469 * 7)\).

Part 1 of the question establishes that the relative growth rate of the protozoa population is 0.469 per member per day. This information helps us define the differential equation that represents the growth: dP/dt = 0.469P.

Part 2 introduces the exponential growth formula for population growth, which states that \(P(t) = P(0)e^{kt\) where P(t) is the population size at time t, P(0) is the initial population size, k is the growth rate, and e is the base of the natural logarithm.

To find the population size after seven days, we substitute the given values into the formula: \(P(t) = 5 * e^{(0.469 * 7)\). Evaluating this expression yields the final answer, which represents the population size of the protozoa after seven days.

Note: The calculation itself is not included in the answer as the model response is limited to explaining the approach.

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Answer:

21a-14b

15b-20a

Step-by-step explanation:

Answer: a + 3b

Step-by-step explanation:

Okay, so...

7(3a - 2b) = 7(3a) - 7(2b) ... distributive property

21a - 14b

5(3b - 4a) = 5(3b) - 5(4a) ... distributive property

15b - 20a

(21a - 14b) + (15b - 20a) = 21a -12b + 15b - 20a =

a + 3b

Hyperkalemia is a medical condition that refers to an elevated level of potassium in the blood.

This condition can be caused by several factors, including kidney disease, certain medications, and hormone imbalances. Symptoms of hyperkalemia can range from mild to severe, depending on the level of potassium in the blood.

In a 60-year-old female diagnosed with hyperkalemia, the most likely symptom that would be observed is muscle weakness. This is because high levels of potassium can interfere with the normal functioning of muscles, leading to weakness, fatigue, and even paralysis in severe cases.

Other symptoms that may be observed in hyperkalemia include nausea, vomiting, irregular heartbeat, and numbness or tingling in the extremities. Treatment of hyperkalemia typically involves addressing the underlying cause of the condition, as well as managing symptoms through medication and lifestyle changes.

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Answer: Because all individuals in the sample have the same job, so the sample is biased.

Step-by-step explanation:

Ignoring the fact that 30 is a small sample for a large city, we already know that all the people in the sample has the same profession.

Now, we can expect that two dentists win have around the same income, but not all the residents in the city are dentists

A lot of them work in fast food, others may be lawyers, others may be freelancers.

We have a lot of jobs where the income does not coincide with the average income of a dentist, so with the sample of 30 dentists we are not actually representing all the other possible jobs that there are in the city.

If we want a sample that represents the income of all the residents, we should have a random sample (so the sample is not biased, like in this case).

Answer:

Step-by-step explanation:

DISTANCE BETWEEN TWO POINTS

We want to firstly assume that the the three trees lies on the same line

so tress A,B and C are on the same line

Given

The direct distance between A to B= 200 ft

The direct distance between B to C= 300 ft

hence A to C= 200+300= 500ft

let us do a graphical representation for better understanding

A----B-----------C

200ft    300ft

A---------- -----C

       500ft

A to C= 500ft

Answer:

Between 100 and 500

Step-by-step explanation:

A to B is 200

And b to c is 300

A to C =500

200-300=100

Answer = Between 100 and 500

Answer: Choice A) cone

One way to picture this is to think of a propeller. As the propeller spins, it carves out a 3D space even though the blade is "2D" in a sense.

If we spin everything around segment BC, we get a 3D cone forming. The base of the cone is vertical and it has a radius of AC. The height of the cone is segment BC. It might help to rotate the paper 90 degrees clockwise so that BC is vertical.

Answer:

black

black

Step-by-step explanation:

Answer:

6x + 1

Step-by-step explanation:

Step 1:

x + 2 = 7x + 3

Step 2:

6x + 3 - 2

Answer:

6x + 1

Hope This Helps :)

Answer:

2.6 kilometers

Step-by-step explanation:

To find the circumference of a circle, we can use the formula:

Circumference = π * diameter

Given that the diameter of the volcanic crater is 840 meters, we can substitute this value into the formula:

Circumference = π * 840

Using the approximate value of π as 3.14159, we can calculate the circumference:

Circumference = 3.14159 * 840

Circumference ≈ 2643.1796 meters

To convert the circumference to kilometers, we divide the value by 1000:

Circumference in kilometers = 2643.1796 / 1000

Circumference ≈ 2.6432 kilometers

Therefore, the circumference of the rim of the volcanic crater is approximately 2.6 kilometers (rounded to 1 decimal place).

Answer:

24 pounds of garlic

Step-by-step explanation:

if she spends 3$ per pound, you divide 72 by 3. the answer to that is 24, so if she spends 72 dollars on only garlic, she can buy 24 pounds.

Jennifer can buy 24 pounds of garlic

we see here, that if she spends 3$ per pound, you divide 72 by 3.

The answer would be 24, so if she spends 72 dollars on only garlic,

she can buy 24 pounds.

1: any of various units of mass and weight specifically: a unit now in general use among English-speaking peoples equal to 16 avoirdupois ounces or 7000 grains or 0.4536 kilogram — see Weights and Measures Table

2: the basic monetary unit of the United Kingdom.

In maths, a division is a process of splitting a specific amount into equal parts. For example, we can divide a group of 20 members into 4 groups of 5 members each or 5 groups of 4 members each

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Answer:

She can make cookies for 4.95 weeks

Step-by-step explanation:

2 x 1 2/3 = 3.333333333

16.5/ 3.333333333 = 4.95

Since Jordan is making two batches of Cookies per week, you need to multiply 2 by the amount of resources needed to bake one batch of cookies. So you multiply 1 and 2/3 by 2 to get the amount of resources neccesary for one week of making cookies. Then, you take the full amount of resources that she has, and divide that by the amount she uses per week, that number will give you the number needed to figure out how many weeks she has to bake cookies.

To figure out the number that is being divided to get the whole number in weeks, you would take the 16.5 cups of flour. The reason why this is, is because that Is the starting number of cups that she has. So here you would need to divide the amount you are taking from it each week. This will result in the amount of weeks that she is able to bake cookies with her flour.

a. the question you want answered, Descriptive and inferential statistics are complementary and work together to provide a comprehensive understanding of data.

Descriptive statistics involves summarizing and describing data, providing information about the main features of a dataset. It includes measures such as mean, median, and standard deviation. Descriptive statistics are used to present and organize data in a meaningful way, facilitating an initial understanding of the data.

Inferential statistics, on the other hand, involves making inferences and drawing conclusions about a population based on a sample of data. It uses probability theory and hypothesis testing to generalize findings from the sample to the larger population. Inferential statistics allow us to make predictions and draw conclusions beyond the immediate data collected.

The choice between descriptive and inferential statistics depends on the question you want answered. If you are interested in understanding the characteristics and patterns within a specific dataset, descriptive statistics would be appropriate. However, if you want to make broader generalizations about a population based on a sample, inferential statistics would be the suitable approach.

Descriptive and inferential statistics are complementary and work together to provide a comprehensive understanding of data. Descriptive statistics help in summarizing and organizing data, while inferential statistics enable us to make inferences and draw conclusions about a larger population. The selection of which approach to use depends on the research question and the goals of the investigation.

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Answer:

a. 170

b. −25

c. -25

d. 75√3 (Decimal: 129.903811)

Answer:

You were correct

Step-by-step explanation:

Sometime the system will mess up or the people who made the question accidentally chose the wrong answer but you are correct

Answer:

∠64° and ∠26°

Step-by-step explanation:

Complementary angles add up to 90° total (two angles).

Lets give variable values to each angle:

x= 12 more than twice the measure of the complement

y= complement

Write an equation equaling to a total of 90:

\(x+y=90\)

Write an algebraic expression for the value of x:

\(12+2y\)

Insert the value for x into the equation:

\(12+2y+y=90\)

Simplify and solve for y:

\(12+3y=90\\\\12-12+3y=90-12\\\\3y=78\\\\\frac{3y}{3}=\frac{78}{3}\\\\ y=26\)

The value of y is 26. Insert this value into the original equation and solve for x:

\(x+26=90\\\\x+26-26=90-26\\\\x=64\)

The value of x is 64. So, the complemenatry angles are 64° and 26°.

:Done

From the given measure whose angle is  12° more than twice the measure of its complement.

The measure of the two angles is 64° and 26° respectively.

Complementary angles are angles whose sum is equal to 90°. It is usually composed of two angles complementing themselves. Hence, the term complementary angles.

Mathematically;

∴

p + q = 90°    ( complemntary angles)

If one of the angles is 12 more than twice its complement;

i.e.

Let p = 12

SO, the algebraic equation for the value of p is:

12 + 2q = 90

Replacing the value of q to solve the equation, we have:

12 + 2q + q = 90

12 + 3q = 90

3q = 90 - 12

3q = 78

q = 78/3

q = 26°

From p + q = 90°    ( complemntary angles)

Replacing the value of q = 26°, we have:

p + 26° = 90°

p = 90° - 26°

p = 64°

In conclusion, the measure of each angle is 64° and 26°.

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aₙ = 14- 2n is the EXPLICT equation for the arithmetic sequence below: 12, 10, 8, 6

A sequence is an enumerated collection of objects in which repetitions are allowed and order matters

this is an arithmetic sequence whose n th term ( explicit formula) is

aₙ = a + (n - 1 )d

where d is the common difference and  a the first term

The given sequence is 12,10,8,6

twelve comma ten comma eight comma six

d=10-12=-2

a=12

Apply in explicit formula

aₙ = 12+ (n - 1 )(-2)

aₙ = 12-2n +2

aₙ = 14- 2n

Hence aₙ = 14- 2n is the EXPLICT equation for the arithmetic sequence below: 12, 10, 8, 6

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The difference between a value model of variables and a reference model of variables lies in how they handle data.

In a value model, variables store the actual values, while in a reference model, variables store references to the memory location where the values are stored. The distinction is important because it affects how data is shared and manipulated, impacting memory usage, performance, and behavior in programming languages.

In a value model of variables, each variable stores its own independent value. When assigning a value to a variable or passing it to a function, a copy of the value is made. This means that any modifications to the copied value do not affect the original value. Value models are commonly used in languages like C or Java, where variables represent the actual data.

In contrast, a reference model of variables stores references or pointers to memory locations where the values are stored. Instead of copying the value, the reference is copied, allowing multiple variables to refer to the same memory location and share data. Changes made to the data through one variable will be reflected in all variables referencing the same memory location. Reference models are often used in languages like Python or JavaScript, where variables act as references to objects.

The distinction between value and reference models is important because it impacts memory usage and performance. In a value model, each variable consumes its own memory space, which can be inefficient for large data structures or when passing data between functions. In a reference model, memory usage can be optimized as variables can share the same data, but it requires careful handling to avoid unintended side effects when modifying shared data.

Additionally, the distinction affects the behavior of programming languages. In a value model, modifying a variable does not affect other variables referencing the same value. In a reference model, modifications made through one variable are visible to all variables referencing the same memory location. This difference can lead to different programming patterns and requires developers to be aware of how data is shared and manipulated.

In summary, the difference between a value model of variables and a reference model of variables lies in how data is handled and shared. The distinction is important as it impacts memory usage, performance, and the behavior of programming languages. Understanding these models helps programmers choose the appropriate approach and avoid unintended consequences when working with variables and data.

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Answer:

-7.2

Step-by-step explanation:

-4(0.3)-6

-1.2-6

-7.2

Answer:

-7.2

Step-by-step explanation:

-4(0.3)-6=

-1.2-6=

-7.2

Question: Carly is saving money babysitting on the weekends. last month, she saved $120. this month, carly saved 30% more than she saved last month. how much did she save this month?

Answer: Goodmorning: } It's $156.

Step-by-step explanation:  you would change the 30% to a decimal by moving the decimal point two spaces to the right.

this would get you .30 or .3

you would then multiply the $120 by .3

you would get 36

then since she saved 30% MORE you would add the 36 to the 120 and get 156.

Have a nice day !!!

You can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

To calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation with 10% interest compounded monthly, we can break down the problem into two parts:

Calculate the accumulated balance after 15 years of regular deposits:

We can use the formula for the future value of a regular deposit:

FV = P * ((1 + r/n)^(nt) - 1) / (r/n)

where:

FV is the future value (accumulated balance)

P is the regular deposit amount

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

P = $125.00 (regular deposit amount)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 15 (number of years)

Plugging the values into the formula:

FV = $125 * ((1 + 0.10/12)^(12*15) - 1) / (0.10/12)

Calculating the expression on the right-hand side gives us the accumulated balance after 15 years of regular deposits.

Calculate the balance after an additional 5 years of accumulation:

To calculate the balance after 5 years of accumulation with monthly compounding, we can use the compound interest formula:

FV = P * (1 + r/n)^(nt)

where:

FV is the future value (balance after accumulation)

P is the initial principal (accumulated balance after 15 years)

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

Given the accumulated balance after 15 years from the previous calculation, we can plug in the values:

P = (accumulated balance after 15 years)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 5 (number of years)

Plugging the values into the formula, we can calculate the balance after an additional 5 years of accumulation.

By following these steps, you can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

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Answer: \(f^{-1}(x)=-\frac{2}{3}x+\frac{7}{3}\)

Step-by-step explanation:

To find the inverse of a function, you want to replace x with y and y with x. Then, you solve for y.

\(y=-\frac{3}{2}x+\frac{7}{2}\)                       [replace y with x and x with y]

\(x=-\frac{3}{2}y+\frac{7}{2}\)                       [subtract both sides by 7/2]

\(x-\frac{7}{2} =-\frac{3}{2}y\)                       [multiply both sides by -2/3]

\(-\frac{2}{3} (x-\frac{7}{2} )=y\)                     [distribute]

\(y=-\frac{2}{3}x+\frac{7}{3}\)

Now, we have our inverse function.

\(f^-^1(x)=-\frac{2}{3}x+\frac{7}{3}\)

Answer:

x > 5

solid dot on the number 5 and shading to the right

Step-by-step explanation:

-5 - 7x < -40

-7x < -35

x > 5

solid dot on the number 5 and shading to the right

To identify the vertical asymptotes, we have to factor the denominator. For horizontal asymptotes, we compare the degrees of the numerator and denominator.

For rational functions, there are vertical and horizontal asymptotes. To identify the vertical asymptotes, we first have to factor the denominator. After that, we should look for values that make the denominator zero. These values can be found by setting the denominator equal to zero and solving for x. The resulting x values would be the vertical asymptotes of the function.

The horizontal asymptote is the line that the function approaches as x goes towards infinity or negative infinity. For rational functions, the horizontal asymptote is found by comparing the degrees of the numerator and the denominator.

If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degree of the numerator is equal to the degree of the denominator, the horizontal asymptote is y = the ratio of the leading coefficients. If the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote.

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La solución para la desigualdad dada es b > 2/3. En otras palabras, cualquier valor de b que sea mayor que 2/3 satisfará la desigualdad original.

Para resolver la desigualdad |4|-3b+5|-9<7, vamos a descomponerla en dos partes y resolver cada una por separado. Primero, eliminamos los valores absolutos y obtenemos dos casos posibles:

Caso 1: 4 - 3b + 5 - 9 < 7

Simplificando esta expresión, tenemos:

-3b < 7 - 4 - 5 + 9

-3b < 7 - 9

-3b < -2

Dividiendo ambos lados de la desigualdad por -3 (y cambiando el sentido de la desigualdad porque estamos dividiendo por un número negativo), obtenemos:

b > -2/-3

b > 2/3

Caso 2: -(4 - 3b + 5 - 9) < 7

Simplificando esta expresión, tenemos:

-(-4 + 3b - 5 + 9) < 7

4 - 3b + 5 - 9 < 7

-3b < 7 - 4 - 5 + 9

-3b < 7 - 9

-3b < -2

Dividiendo ambos lados de la desigualdad por -3 (y cambiando el sentido de la desigualdad porque estamos dividiendo por un número negativo), obtenemos:

b > -2/-3

b > 2/3

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