Multi Step Problem (Show work)
-k +4 - 5k = 1
​

According to the information, the coordinate that indicates the equidistant point to the three tables is 11/3, 5

To find the equidistant point to the three tables we must take into account the coordinates of the three tables as shown below:

So to find the center we must apply the following formula:

Note: This question is incomplete. Here is the complete information:

Image attached

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In counseling and psychotherapy groups, member-to-member contact outside of the group often results in subgroups and hidden agendas

According to various research studies on Personal relationships among specialty group members, such as counseling and psychotherapy groups, which was concluded that member-to-member contact outside of the group often results in SUBGROUP and HIDDEN AGENDAS.

However, Most of the time, which can lead to damaging situations.

Therefore it is considered a sensible strategy to prevent the formation of such subgroups.

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Answer:

5 days they will both exercise together

Step-by-step explanation:

LCM of 2 and 3 is 6.

So, on the 6th day they will exercise together.

30/6 = 5

Answer:

They will both exercise on the same day for 5 days in the next 30 days.

Step-by-step explanation:

Ben exercises every 3 days

Isabel exercises every 2 days

LCM of 2 and 3 = 6

30/6 = 5

The allele frequency for the f allele in this population's gene pool is 0.6. This means that out of all the alleles in the gene pool, 60% of them are the f allele.

The total number of rabbits carrying the f allele (60) can be divided by the total number of alleles in the gene pool to arrive at this figure (100).

As a result, 0.6 or 60% of the population's gene pool contains the f allele. With frequencies of 0.2 and 0.2, respectively, for the other two alleles, ff and ff, it may be concluded that the f allele is more prevalent.

This also indicates that the f allele, which has the highest frequency, is the most prevalent allele in the population.

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Answer:

The graph shows a LOGARITHMIC function that is asymptotic to X=1

Step-by-step explanation:

El valor que satisface D es 188.

El modelo matemático será así:

D/d = 12(resto 8)

si escribimos 8 como resto de D, entonces:

(D-8) /d=12

D-8= 12d o se puede escribir D= 12d+8

luego sustituya D= 12d+8 por D+d= 203

D+d= 203

(12d +8) +d= 203

13d= 203-8

13d= 195

re=15

sustituir d=15 en D+d= 203

D+d= 203

D+15=203

D=203-15

D=188

El modelo matemático es una forma de interpretación humana al traducir o formular problemas existentes en forma matemática, de modo que el problema pueda resolverse utilizando las matemáticas.

El uso principal de los modelos matemáticos es ayudar a las personas a comprender los problemas y simplificarlos para que puedan resolverse.

, los siguientes son algunos de los usos que se obtienen al utilizar un modelo matemático, a saber:

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The exact value for the tangent of 240° is -0.422618261740699.  The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side of a right triangle.

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side of a right triangle. In order to calculate the tangent of 240°, first, find the ratio of the length of the opposite side to the length of the adjacent side. Then, use a calculator to convert the ratio into a decimal. To do this, simply divide the length of the opposite side by the length of the adjacent side. The decimal that is produced is the exact value for the tangent of 240°. In this case, the value is -0.422618261740699.

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first derivative f'(x) = 4 + 2x² + 5

second derivative f''(x) = d/dx (4 + 2x² + 5)⇒f''(x) =0 + d/dx(2x²) + 0⇒f''(x)= 4x

third derivative f'''(x) = d/dx (4x)⇒ f'''(x) = 0 + 4(d/dx(x)) + 0⇒ f'''(x) = 4 Therefore, f''(3)(x) = 4*3 = 12

Given, f'(x) = 4 + 2x² + 5To find, f''(x) and f'''(x)We have to differentiate f'(x) to obtain the second derivative of the given function

f'(x) = 4 + 2x² + 5 ⇒ f''(x) = d/dx (4 + 2x² + 5)⇒ f''(x) = 0 + d/dx(2x²) + 0⇒ f''(x) = 4x

The second derivative of the given function is f''(x) = 4x

Now, we have to differentiate f''(x) to obtain the third derivative of the given functionf''(x) = 4x⇒ f'''(x) = d/dx (4x)⇒

f'''(x) = 0 + 4(d/dx(x)) + 0⇒ f'''(x) = 4The third derivative of the given function is f'''(x) = 4

Therefore, f''(3)(x) = 4*3 = 12

The first derivative of the function is given as f'(x) = 4 + 2x² + 5. To find the higher-order derivatives of the function, we have to differentiate the given function f'(x) with respect to x.

On differentiating the given function, we obtain the second derivative of the function f''(x) = 4x. Similarly, on differentiating the second derivative of the function, we get the third derivative of the function f'''(x) = 4.

Therefore, the higher-order derivatives of the given function are f''(x) = 4x and f'''(x) = 4.The third derivative of the given function is f'''(x) = 4. Hence, the value of the third derivative of the function at x = 3 is f''(3)(x) = 4*3 = 12.

The given first derivative of the function is f'(x) = 4 + 2x² + 5.The second derivative of the function is f''(x) = d/dx (4 + 2x² + 5)⇒ f''(x) = 0 + d/dx(2x²) + 0⇒ f''(x) = 4xThe third derivative of the function is f'''(x) = d/dx (4x)⇒ f'''(x) = 0 + 4(d/dx(x)) + 0⇒ f'''(x) = 4Therefore, f''(3)(x) = 4*3 = 12

Therefore, the value of f''(3)(x) for the given function is 12.

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Answer:

72

Explanation:

First, we can find the top and bottom smaller squares of the rectangular prism. Since we are working with a variety of rectangles, we only need to use the equation L×W.

To start with, let's multiply 2×3, which gives us 6, the surface area of both the bottom and top rectangles, so now we need to multiply it by 2 to account for both of them. 6×2=12

Now, we'll find the surface area of the bigger rectangles in the middle, which are 6 by 3, so again we will need to multiply length times width, then by 2 to count both rectangles. 6×3=18×2=36

Finally, we can find the surface area of the smaller rectangles in the middle, which are 6 by 2. 6×2=12, then multiply by 2 since there are 2 of those rectangles, 12×2=24

Now to find the total surface area, we need to add the gathered surface area from each shape, 12+36+24=72

Answer: 5.

Step-by-step explanation: The .57 doesn't matter so we can remove that.

Multiply 32 by 0.15

32 x 0.15 = 4.8

After you get your result, round it to the nearest tenths.

4.8 = 5

hope this helps

Answer:

three time plus four equals sixteen

Step-by-step explanation:

I think this is what you meant

Thee volume of the cone has a value of 1, 739. 60 cubic feet

The formula for calculating the volume of a cone is expressed as;

V = πr²h/3

Where;

From the information given, we have the values as;

Diameter = 19

But radius = Diameter/2

Now, radius = 18. 7/2 = 9.35 ft

Substitute the values into the formula

Volume = 3. 142( 9.35)² × 19/3

Find the value of the square

Volume = 3. 142(87. 42) × 6. 3

Multiply the values

Volume = 1, 739. 60 cubic feet

Hence, the value is 1, 739. 60 cubic feet

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ANSWER and EXPLANATION

a) To simplify the radical, we have to:

1) First, express the number inside the radical as a product of a perfect square and a number that is not a perfect square.

2) Next, we separate the numbers into two radicals and find the square root of the perfect square.

3) Finally, we find the product of the number and the remaining radical.

B) Following the steps above:

STEP 1

STEP 2

STEP 3

Answer:

(6x + 9y)(6x - 9y)

Step-by-step explanation:

We can use the difference of squares which states that a² - b² = (a + b)(a - b), in this case, a = 6x and b = 9y so the answer is (6x + 9y)(6x - 9y).

Answer:

the answer is D. (-9, -3)

\({ \green{ \tt{option \: (d)}}}\)

Step-by-step explanation:

Given,

\({ \tt{2y + x = - 15}} \: { \to} \: { \tt {eq}^{n} (1)}\)

\({ \tt{x = 3y}} \: { \to} \: { \tt{ {eq}^{n} (2)}}\)

Substitute the value of eqⁿ (2) in (1) then,

\({ \tt{2y}} \: + \: { \red{ \tt{3y}}} \: = - 15 \)

\({ \tt{5y = - 15}}\)

Divide both sides by 5 then,

\({ \tt{ \frac{5}{5}y = - \frac{15}{5}}} \)

\({ \red{ \boxed{ \tt{y = - 3}}}}\)

Substitute the value of y in eqⁿ (2)

\({ \tt{x = 3y}}\)

\({ \tt{x = 3( - 3)}}\)

\({ \red{ \boxed{ \tt{x = - 9}}}}\)

Therefore, the value of (x,y) is (-9,-3)

Hence, option (d) is correct.

Answer:

false

Step-by-step explanation:

falswe

It cannot be determined. At least one other point on the line is needed to determine if x is proportional to y

Given data ,

A point on a straight line has an x-coordinate of 3 and a y-coordinate of 6

Now , A single point on a straight line does not define the connection between x and y. We must evaluate the connection between x and y for several places on the line in order to establish if x is proportional to y.

As a result, the relationship between x and y cannot be inferred only from the supplied location (3, 6). To establish the proportionality between x and y, at least one more point on the line is required

Hence , the equation of line is solved

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Hi, Which math? Alegbra,calculus, or geometry?) lol

Step-by-step explanation:

Answer:

The false choices are A, C, and E

Step-by-step explanation:

Let's make an example:

p=1

q=2

s=sqrt(3)

t=sqrt(6)

Since pq=1*2=2, the answer is rational and A is false.

Since pt=1*sqrt(6)=sqrt(6), the answer is irrational and B is true.

Since p/q=1/2=0.5, the answer is rational and C is false.

Since st=sqrt(3)*sqrt(6)=sqrt(18), the answer is irrational and D is true.

Since s/t=sqrt(3)/sqrt(6)=sqrt(1/2), the answer is irrational and E is false.

The false statements are:

The product pq is irrational.

The quotient pq is irrational.

The quotient st is rational.

A rational number is a number can be expressed as a fraction of two whole numbers. While, an irrational number is a number that cannot be expressed as the fraction of two whole numbers.

Examples of rational numbers are: 6, 2,3

Examples of irrational numbers are: √2, √3

Let p and q be represented with 2 and 6 respectively.

The product of 2 and 3 = 2 x 6 = . The number is a rational number

Let p and t be represented with 2 and √2 respectively.

The product of 2 and √2 = 2 x√2 = 2√2. The product is irrational

The quotient of pq = 6 /2 = 3.

The quotient is rational.

Let s and t be represented with √2, √3. The product is √2 x √3 = √6. The product is irrational.

The quotient of s and t = √2 /√3.

The number is irrational.

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Using the Binomial probability distribution,

the probability that sheer guesswork will yield exactly 18 correct answers is ²⁷C₁₈(0.2)¹⁸(0.8)⁹

We have given that,

total number of multiple choice questions= 27

each question has number of possible answer

= 5

but only one is correct .

we have to find out the probability that sheer guesswork will yield 18 correct answer.

P(C) = probability of answering any question correctly = (1 / 5) = 0.2

P(W) = probability of answering any question wrongly = (4/ 5) = 0.8

Using the Binomial probability distribution,

P(X= x) = ⁿCₓ(p)ˣ(q)⁽ⁿ⁻ˣ⁾

Probability of answering exactly 18 questions correctly = P(X=18) = ²⁷C₁₈(0.2)²⁸(0.8)⁹

Hence, the probability value is ²⁷C₁₈(0.2)²⁸(0.8)⁹

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Answer:

The value of b is 21

Step-by-step explanation:

29=√20^2+b^2

or, 29=√400+b^2

or, 841=400+b^2

or, 841-400=b^2

or, √441=b

b=21

Answer:

To find the explicit formula for the sequence, we need to determine the common ratio between each term.

The common ratio is found by dividing any term by the previous term. For example:

The common ratio between the second and first terms is 150/30 = 5.

The common ratio between the third and second terms is 750/150 = 5.

Since the common ratio is the same for all terms, we can use it to find any term in the sequence.

Let's call the first term a₁, and let r be the common ratio. Then we have:

a₁ = 30

a₂ = a₁ * r = 30 * 5 = 150

a₃ = a₂ * r = 150 * 5 = 750

a₄ = a₃ * r = 750 * 5 = 3750

a₅ = a₄ * r = 3750 * 5 = 18750

We can see that the explicit formula for the sequence is:

aₙ = a₁ * r^(n-1) = 30 * 5^(n-1)

Therefore, the explicit formula for the sequence is aₙ = 30 * 5^(n-1).

Answer:

scientific notation

= 2.34e8

scientific e notation

= 234 × 106

engineering notation

million; prefix mega- (M)

= 2.34 × 108

standard form

8

Order of Magnitude

for scientific and standard forms

= 234000000

(real number)

= two hundred thirty-four million

word form

Step-by-step explanation:

We need to find the number of ordered triples of integers (x, y, z) that satisfy the equation \(36x² + 100y² + 225z² = 12600\). The answer is 9 and 25

To determine the number of solutions, we can analyze the given equation modulo various numbers. First, we note that the left side of the equation is divisible by 9, as 36x² and 225z² are divisible by 9. Therefore, the right side must also be divisible by 9.

Analyzing modulo 9, we find that 12600 ≡ 0 (mod 9). Hence, the sum of the digits of 12600 is divisible by 9. The sum of the digits is 1 + 2 + 6 + 0 + 0 = 9, which is indeed divisible by 9.

Next, we consider modulo 25. The left side of the equation is divisible by 25 since 100y² is divisible by 25. Hence, the right side must also be divisible by 25.

Analyzing modulo 25, we find that 12600 ≡ 0 (mod 25). Thus, the number 12600 is divisible by 25.

By combining the divisibility results from modulo 9 and modulo 25, we can conclude that 12600 is divisible by both 9 and 25.

Therefore, to find the number of ordered triples of integers (x, y, z) that satisfy the equation 36x² + 100y² + 225z² = 12600, we need to count the number of factors of both 9 and 25 in 12600. This can be achieved by prime factorizing 12600 and determining the powers of 3 and 5.

In conclusion, the number of ordered triples of integers (x, y, z) that satisfy the equation 36x² + 100y² + 225z² = 12600 can be found by counting the factors of 9 and 25 in 12600.

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The equation is

To clear the value of x you have to pass all terms of the equation that don't have it to the other side of the equal sign. To do so you have to perform the opposite operation as the one the term is doing.

In this equation, you have to pass "-12" to the other side, then you have to add it to both sides of the equation.

-12+12 simplify each other so

Finally divide by 6 to reach the value of x

Answer:

a)3.50

b)okay?

i)37.80

ii)3.15

Step-by-step explanation:

Answer: 65%

Step-by-step explanation:

People saying that they would buy the car again means that they are satisfied with the car. There are therefore 1,105 people who are satisfied with the car.

The percent of people satisfied is:

= Number of satisfied people / Total number of people surveyed * 100%

= 1,105 / 1,700 * 100%

= 65%

Answer:

Upper bound is 5.49

Step-by-step explanation:

Answer: The correct unit rate = 2 pound per quart.

Her error instead dividing of that she multiplied both fraction.

Step-by-step explanation:

Given: Jessie said the rate \(\dfrac12\) pound / \(\dfrac14\) quart can be written as the unit rate \(\dfrac18\) pound per quart.

The rate \(\dfrac12\) pound / \(\dfrac14\) quart = \(\dfrac{\dfrac{1}{2}}{\dfrac14} =\dfrac12\times\dfrac41=2\ \ \ \ \ \ [ \ \dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\times\dfrac{d}{c}\ ]\)

The correct unit rate = 2 pound per quart.

Her error instead dividing of that she multiplied both fraction.