Write the point slope form of the line satisfying the given condition then use point slope for of the equation to write the slope intercept form of the equation

Slope=-1/3 (12,-5)

Answer:

Ben es 6, Daniel es 2

Step-by-step explanation:

No hablo mucho español, ¡pero intentaré dar una respuesta!

The area of a triangle is represented below

where

b = base = 14 mm

h = height = 8.2 mm

The proof is given as follows:

The transitive property argues that "if two quantities are equal to the third quantity, then we may claim that all the quantities are equal to one other".

The term transitive refers to a transfer. If there are three quantities a, b, and c, and if an is connected to b by some rule and b is related to c by the same method, then a and c are related to each other by the same rule; this property is known as the transitive property of equality.

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To find the subtracted value, we need to calculate the multiplicative inverse of (4/3 - 4/9) and then subtract it from the sum of 7/12 and 7/8.

First, let's find the multiplicative inverse of (4/3 - 4/9):

Multiplicative inverse = 1 / (4/3 - 4/9)

To simplify the expression, we need a common denominator:

Multiplicative inverse = 1 / ((12/9) - (4/9))

= 1 / (8/9)

= 9/8

Now, we need to subtract the multiplicative inverse from the sum of 7/12 and 7/8:

Subtracted value = (7/12 + 7/8) - (9/8)

To perform this calculation, we need a common denominator:

Subtracted value = (7/12 * 2/2 + 7/8 * 3/3) - (9/8)

= (14/24 + 21/24) - (9/8)

= 35/24 - 9/8

To simplify further, we need a common denominator:

Subtracted value = (35/24 * 1/1) - (9/8 * 3/3)

= 35/24 - 27/24

= 8/24

= 1/3

Therefore, subtracting 1/3 from the sum of 7/12 and 7/8 will give you the multiplicative inverse of (4/3 - 4/9).

Answer:

87x + 73

Step-by-step explanation:

Combine like terms.  Combining the x terms yields 87x; combining the constants yields 73.  Thus, the desired expression is 87x + 73.

Answer:87x+73

Step-by-step explanation:

Distribute the Negative Sign:

=57x+79+−1(−30x+6)

=57x+79+−1(−30x)+(−1)(6)

=57x+79+30x+−6

Combine Like Terms:

=57x+79+30x+−6

=(57x+30x)+(79+−6)

=87x+73

Answer:

C) \(y > 0\)

Step-by-step explanation:

\(f(x)=2^x\\\\g(x)=x-4\\\\(f\circ g)(x)=f(g(x))=f(x-4)=2^{x-4}\)

This means that the parent function, \(f(x)=2^x\), will shift 4 units to the right along the x-axis, so this DOES NOT affect the range (nor the domain either). Thus,  \(y > 0\) would be the range.

Given:

The equation is:

\(\ln(3x^2-1)=\ln(191)\)

To find:

The solution for the given equation.

Solution:

We have,

\(\ln(3x^2-1)=\ln(191)\)

On comparing both sides, we get

\(3x^2-1=191\)

\(3x^2=191+1\)

\(3x^2=192\)

Divide both sides by 3.

\(x^2=\dfrac{192}{3}\)

\(x^2=64\)

Taking square root on both sides, we get

\(x=\pm \sqrt{64}\)

\(x=\pm 8\)

Therefore, the solutions of the given equation are -8 and 8.

The maximum number of guests that can fill all the standard rooms is twice the number of the standard rooms

Information from the question

each standard room can fill 2 guests

the maximum number of guests that all standard rooms can accommodate = ?

The problem is solved by multiplication

each standard room (1) = 2 guests

all standard rooms = ?

cross multiplying

? * 1 = 2 * all standard rooms

? = all standard rooms times two

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2 pounds 6 ounces in ounces is equivalent to 38 ounces.

The given measurement is -

2 pounds 6 ounces

In 1 pound, there are 16 ounces.

So, we can write that -

2 pounds 6 ounces = 2 x 16 + 6

2 pounds 6 ounces = 38 ounces

So, 2 pounds 6 ounces in ounces is equivalent to 38 ounces.

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Answer:

A-B={1,3,5}

B-A={6,8}

Step-by-step explanation:

Sol `n:

        A-B={1,2,3,4,5}-{2,4,6,8}

              ={1,3,5}   (ONLY NUMBERS OF A)

       B-A= {2,4,6,8}-{1,2,3,4,5}

             ={6,8}    (ONLY NUMBERS OF B)

Answer:

84

34

27

Step-by-step explanation:

The correct statement regarding the transformation is given as follows:

Dilation bu a scale factor of 0.5 about the origin. Then reflect over the x-axis.

The true statements about the dilation are given as follows:

A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.

For this problem, the coordinates of the dilated line segment are half the coordinates of the original line segment, hence the scale factor is given as follows:

k = 0.5.

The y-coordinate then has the signal exchange, hence the figure is also reflected over the x-axis.

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The fraction computed shows that the total inches the infant grew over the three months is 3 3/4 inches.

First month = 2/4 inches

Second month = 1 inch

Third month = 7/4 inches.

The total inches the infant grew over the three months will be;

= 2/4 + 1 + 7/4

= 3 1/4 inches.

The difference in the infants from the second month to the third month will be:

= 7/4 - 1

= 3/4 inches.

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Given (x-7)^2=36, select the values of x.

x=13

x=1

x=-29

x=42

Given (x-1)^2=50, select the values of x.

x=-49

x=51

x=1+5√2

x=1-5√2

Answer: x=1+5√2  and x=1-5√2

The correct statement is;

False,  because x = \(cos^-^1({\frac{-1}{2} )\) is in the interval \(( -\frac{\pi }{2} , \frac{\pi }{2} )\) that is, \(cos^-^1({\frac{-1}{2} )\) = \(\frac{2\pi }{3}\). So all solutions of cos x = -1/2 will be  x = 2π/3 + 2nx and x = 4π/3 + 2nx.

Option D

From the information given, we have that;

All solutions are cos x = -1/2 are given by x = 4x/2 + 2πx

There are multiple solutions to the equation cos x = -1/2, and they are denoted by the values x = 2π/3 + 2nx and x = 4π/3 + 2nx

Such that n is an integer.

This is so because the cosine function repeats itself every 2π, or its period. We therefore multiply the general answer by multiples of 2 to obtain all solutions.

The formula x = 4x/2 + 2πx implies that each solution can be reached by x being multiplied by 4/2 and 2πx being added.

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Answer:

Around 150.72

Step-by-step explanation:

The formula for Circumference is \(2\pi r\).

The radius is down in the question as 24yd. (Radius is the distance from the center of the circle to a point on the circle)

Now we now the radius equals 24, simply substitute it into the formula.

2(3.14)(24)

Around 150.72.

Answer:

Circumference ≈ 150.8yd

Step-by-step explanation:

The formula for the circumference of a circle is 2πr. Since we know the radius is 24 yards, plug it into the formula.

C = 2π(24)

C = 150.796

C ≈ 150.8yd

Answer:  2240

Step-by-step explanation: Simplify the expression.

I hope this helps you out.

Here, 2 x 3 x 2 x 5 x 7 is the prime factorization of 420.

Given that,
To determine the number that is this prime factorization 2 x 3 2 x 5 x 7 belongs to.

Factors can be defined by splitting the value into multipliable values.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Prime factors of the number are the factors that consist of only prime numbers,
i.e.
2 x 3 x 2 x 5 x 7 =  420

Thus, 2 x 3 x 2 x 5 x 7 is the prime factorization of 420.

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The values into the slope-intercept form, we have y = -5x - 6

The slope-intercept form of a linear equation is given by:

y = mx + b

where 'm' represents the slope of the line, and 'b' represents the y-intercept.

In this case, the y-intercept is (0, -6), which means that the line crosses the y-axis at the point (0, -6).

The slope is given as -5.

Therefore, substituting the values into the slope-intercept form, we have:

y = -5x - 6

This equation represents the line with a y-intercept of (0, -6) and a slope of -5.

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6 - 23 + (-9+5) * 2

-17 + (-4)*2

-17 + (-8)

-17 - 8

-25

Answer:

-25

Step-by-step explanation:

follow the order for pemdas which is (parenthesis,exponent,multiplication/division, and then addition/subtraction)

Answer:

4 5/8

Step-by-step explanation:

Rewriting our equation with parts separated

=4+12+18

Solving the fraction parts

12+18=?

Find the LCD of 1/2 and 1/8 and rewrite to solve with the equivalent fractions.

LCD = 8

48+18=58

Combining the whole and fraction parts

4+58=458

Answer:

B, No solution

Step-by-step explanation:

If two lines are graphed, the point they intersect is the solution. However, if the slope is the same, they will never intersect

In the first and second equation, the slopes are both 3 so they will never intersect.

The equation of the line in slope-intercept form is y = 3x + 4.

We can use the combination formula to determine how many different packages can be created from a set of 24 crayons with 36 different colours.

The formula for the mixture is provided by:

n C r equals n!/r! (n-r)!

where r is the number of items we want to choose, n is the total number of items, and! stands for the factorial of a number, which is the sum of all positive integers up to that number.

In this instance, we are trying to determine how many various methods there are to choose 24 crayons from a set of 36 colours, regardless of the sequence in which they are chosen. Consequently, we can apply the following combination formula:

36 C 24 = 36! / (24! * 12!)

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\(\cfrac{9}{x}=\cfrac{6}{10}\implies \cfrac{9}{x}=\cfrac{3}{5}\implies 45=3x\implies \cfrac{45}{3}=x\implies 15=x\)

Answer:

x=-6

Step-by-step explanation:

subtract 7 from both sides then divide both sides by -4

Answer:

-6 + 2 = -4

Step-by-step explanation:

-6 + 2 = -4

Answer: 3.46

Step-by-step explanation: Number form of it.

Answer:

3.46

three and forty-six hundreths

Step-by-step explanation:

your answer good luck!

There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

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It would take them approximately 6.24 hours (or 6 hours and 14 minutes) to complete the order if they work together.

To solve this problem, we can use the formula:

Time = Work ÷ Rate

Time is the time it takes to complete the job, Work is the amount of work to be done, and Rate is the rate of work.

Let's assume that the amount of work to be done is 1 (it doesn't matter what unit we use as long as we are consistent).

Then, Maria's rate of work is 1/12 (she can do 1 job in 12 hours) and the new clerk's rate of work is 1/13 (he can do 1 job in 13 hours).

If they work together, their combined rate of work is the sum of their individual rates:

Rate = Maria's rate + New clerk's rate

Rate = 1/12 + 1/13

Rate = (13 + 12) / (12 x 13)

Rate = 25 / 156

So, their combined rate of work is 25/156 jobs per hour.

Now, we can use the formula to find the time it takes for them to complete the job together:

Time = Work ÷ Rate

Time = 1 ÷ (25/156)

Time = 156/25

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The first step in evaluating the expression 3x{9-(4+2)/2 is to simplify the innermost parentheses. By performing operations within parentheses first, we can simplify the expression and make it easier to evaluate.

To begin, we evaluate the expression within the parentheses (4+2), which equals 6. Thus, the original expression becomes 3x{9-6/2}.

The next step is to simplify the division operation. We divide 6 by 2, resulting in 3. Now the expression becomes 3x{9-3}.

The subsequent step is to simplify the subtraction operation. We subtract 3 from 9, giving us 6. The expression now becomes 3x6.

Finally, we multiply 3 by 6, yielding a final result of 18. Therefore, the evaluation of the expression 3x{9-(4+2)/2 is equal to 18.

By simplifying the parentheses, performing the division, and evaluating the subtraction, we systematically reduce the expression to its simplest form. Following the order of operations (also known as PEMDAS or BODMAS), which prioritizes parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right), ensures an accurate evaluation of the expression.

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