What is the equation of the línea perpendicular to y= -3x + 3/5 that Goes through point (-2, 3 )

The required equation that has no solution is given as,
(A) 2(x + 2) + 2 = 2(x + 3)+1
(B) 2x + 3(x + 5) = 5(x- 3)
(E) 5(x + 4) - x = 4(x + 5) - 1

What is simplification?

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,
Among the equation which have no solutions, when simplifying the variable in the equation get canceled.

(A)
2(x + 2) + 2 = 2(x + 3)+1

Simplifying,
2x + 4 + 2 = 2x + 6 + 1

Isolating the variable terms,

2x -2x = 6 + 1 - 2 -4
0 = 7 - 6

That shows the equation  2(x + 2) + 2 = 2(x + 3)+1 has no solution.

Similarly, when all the equation simplifies. It is found that,

The equation that has no solution is given as,
(A) 2(x + 2) + 2 = 2(x + 3)+1
(B) 2x + 3(x + 5) = 5(x- 3)
(E) 5(x + 4) - x = 4(x + 5) - 1

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Option A

The slope - intercept form of the equation of a line is:

y = mx + c

where m is the slope

c is the y-intercept

If a line of best fit is drawn on the on each of the scatterplots, only in the first scatterplot can the line of best fit intesect the y-axis at 2. A slope of 1/2 is also only possible when a line of best fit is drawn on the first scatterplot.

That is, c = 2

m = 1/2

Therefore, only the first scatterplot would have the line of best fit represented by the equation y = 1/2 x + 2

Answer:

Step-by-step explanation:

i feel like it would be (4)(4)(4)(4)(4)(4)(4)(4) = 65536

The number of different four digit passwords that are possible if we use letters and digits only, and can't include repeating characters is 13,388,280 ways.

We can use combinations for this case,

Total number of distinguishable things is m.

Out of those m things, k things are to be chosen such that their order doesn't matter.

This can be done in total of  \(^mC_k = \dfrac{m!}{k! \times (m-k)!}\) ways.

If the order matters, then each of those choice of k distinct items would be permuted k! times.

So, total number of choices in that case would be:

\(^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}\)

This is called permutation of k items chosen out of m items (all distinct).

For this case, we assume that:

"Letters" are denoting uppercase and lowercase english alphabets (26 uppercase, and 26 lowercase, so total 52 such letters).

And digits are denoting (0,1,2,3,4,5,6,7,8,9) so total 10 such digits.

Thus, total 52+10 = 62 different choices to choose from.

Of these 62 options, we can use one letter only one time in a password.

Choosing any 4 characters out of those 62 characters is done in:

\(^{62}C_4 = \dfrac{62 \times 61 \times 60 \times 59 \times 58!}{4 \times 3 \times 2 \times 1 \times 58!} = 557845\) ways.

Each of those 4 selections have distinct characters, and in a password, their arrangement matters, so each of  those 557845 choices can be permuted in 4! ways.

Thus, total number of distinct 4 digit password out of 52 english letters and 10 digits is \(4! \times 557845 = 24 \times 557845= 13388280\) ways. (or we could've directly evaluated \(^{62}P_4\)

Thus, the number of different four digit passwords that are possible if we use letters and digits only, and can't include repeating characters is 13,388,280 ways.

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The quotient of 25 divided by 25,704 is approximately 0.00097 (rounded to five decimal places).

When splitting huge numbers, the task is divided into several sequential steps using the long division approach. The dividend is divided by the divisor, just like in conventional division problems, and the result is known as the quotient; occasionally, it also produces a remainder.

The long division for 25 divided by 25,704 is shown below:

code :

0.00097

-------

25704 | 25.00000

      0

      --

     250

     257

     ---

      -7

As a result, the result of 25 divided by 25,704 is almost 0.00097. (rounded to five decimal places).

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Answer: Simplifying

4x + 50 = 6x + 20

Reorder the terms:

50 + 4x = 6x + 20

Reorder the terms:

50 + 4x = 20 + 6x

Solving

50 + 4x = 20 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.

50 + 4x + -6x = 20 + 6x + -6x

Combine like terms: 4x + -6x = -2x

50 + -2x = 20 + 6x + -6x

Combine like terms: 6x + -6x = 0

50 + -2x = 20 + 0

50 + -2x = 20

Add '-50' to each side of the equation.

50 + -50 + -2x = 20 + -50

Combine like terms: 50 + -50 = 0

0 + -2x = 20 + -50

-2x = 20 + -50

Combine like terms: 20 + -50 = -30

-2x = -30

Divide each side by '-2'.

x = 15

Simplifying

x = 15

Thus, the company must consider fixed monthly payments of amount $497.92 into the account to reach $97,000 in 13 years.

To find the monthly payment needed to reach $97,000 in 13 years, we can use the sinking fund formula:

FV = PMT * [(1 + i)^n - 1] / i

where:
FV = future value ($97,000)
PMT = monthly payment (unknown)
i = monthly interest rate (3.2% compounded monthly, which is 0.032 / 12 = 0.002667)
n = number of months (13 years * 12 months/year = 156 months)

Rearrange the formula to solve for PMT:

PMT = FV * i / [(1 + i)^n - 1]

PMT = 97,000 * 0.002667 / [(1 + 0.002667)^156 - 1]

PMT ≈ 497.92

So, the company should make fixed monthly payments of approximately $497.92 into the account to reach $97,000 in 13 years.

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The angle measures are given as follows:

Angles 5 and 8 form a linear pair, hence they are supplementary, meaning that the mesure of angle 5 is given as follows:

m < 5 + m < 8 = 180º

m < 5 + 105º = 180º

m < 5 = 75º.

Angles 5 and 11 are alternate exterior angles, hence they are congruent and the measure of angle 11 is given as follows:

m < 11 = 75º.

Angles 1 and 13 are corresponding angles, meaning that they are congruent, hence the measure of angle 13 is given as follows:

m < 13 = 115º.

Angles 13 and 16 form a linear pair, hence they are supplementary, meaning that the mesure of angle 16 is given as follows:

m < 13 + m < 16 = 180º

m < 16 = 180º - 115º

m < 16 = 65º.

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A random variable is a numerical quantity resulting from a probability experiment. It assigns a numerical value to each possible outcome of the experiment. The correct answer is D.

The outcome of a probability experiment is often a count or a measure. When this occurs, the outcome is called a random variable.

Random variables can be classified into two types: discrete and continuous.

Discrete random variables have finite or countable outcomes, while continuous random variables have uncountable outcomes, making it essential to consider the probability density function to determine the probabilities associated with various intervals.

Hence,the answer of the question is D.

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Answer:

\(\frac{11}{20}\)

Step-by-step explanation:

2\(\frac{3}{4}\) ÷ 5

Convert mixed number fraction to improper fraction

\(\frac{11}{4}\) ÷ 5

To divide fractions we turn the second fraction (the one you want to divide by) upside down (this is now called a reciprocal) and we multiply

\(\frac{11}{4}\) × \(\frac{1}{5}\) = \(\frac{11}{20}\)

Answer:

1. x = 5

Remember that all angles add up to 180, and because you know that one of the angles = 90, you can add the other two angles like so.

6x + 15 + 10x - 5 = 90

2.

Angle 1 = 43 degrees

Angle 3 = 32 degrees

Answer:

the solution points for the system of equations are (3, 25) and (-7/2, -7).

Step-by-step explanation:

We can solve this system of equations using substitution or elimination. Here, we will use the substitution method:

Substitute y = 2x^2 + 5x - 10 into the second equation:

4x - (2x^2 + 5x - 10) = -11

Simplifying the left side of the equation:

4x - 2x^2 - 5x + 10 = -11

Rearranging the terms:

2x^2 - x + 21 = 0

Using the quadratic formula:

x = (-(-1) ± sqrt((-1)^2 - 4(2)(21))) / 2(2)

x = (1 ± sqrt(169)) / 4

x = (1 ± 13) / 4

Simplifying:

x = 3 or x = -7/2

Now, substitute each value of x back into one of the original equations to find the corresponding value(s) of y:

For x = 3:

y = 2(3)^2 + 5(3) - 10 = 25

So one solution point is (3, 25).

For x = -7/2:

y = 4(-7/2) + 11 = -7

So the other solution point is (-7/2, -7).

Therefore, the solution points for the system of equations are (3, 25) and (-7/2, -7).

Answer:

2c^3(c+11)^2

Step-by-step explanation:

2c^5 + 44c^4 + 242c^3

Factor out the greatest common factor

2c^3(c^2+22c+121)

Recognizing inside the parentheses is (a+b) ^2 where a =c and b = 11

2c^3(c+11)^2

Answer:

Sure, here are the numbers arranged from greatest to least

Step-by-step explanation:

Order from greatest to least

1.3, 4.5%, 1/3, -4/5, -0.04, -21.5%

Answer:

From the greatest to least

Step-by-step explanation:

1.3, 4.5%, 1/3, -4/5, -0.04, -21.5%

You can identify which number is greater than other by using a number line.

What is a number line?

A number line is what a math student can use to find the answer to addition and subtraction questions. A straight line, theoretically extending to infinity in both positive and negative directions from zero, that shows the relative order of the real numbers.

Hope this helps :)

Pls Brainliest...

The value of expression is,

⇒ x ÷ 12

We have to given that;

The algebraic expression is,

⇒ x divided by 12

Hence, We can formulate;

The value of correct expression is,

⇒ x ÷ 12

⇒ x / 12

Thus, The value of expression is,

⇒ x ÷ 12

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The given number is not a solution of the equation i.e. the number is an inequality

The equation is given as:

3x- 4 = 10

The number is given as:

5

This means that

x = 5

Substitute x = 5 in 3x- 4 = 10

3 * 5- 4 = 10

Evaluate the product

15- 4 = 10

Evaluate the difference

11 = 10

The above equation is not true i.e. the equation is actually an inequality

Hence, the given number is not a solution of the equation i.e. the number is an inequality

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Answer:

The type of number that represents -4/2 is:

Choice B) Integer

Choice C) Rational

Step-by-step explanation:

The number -4/2 is an integer because it represents a whole number (-2) and it is also a rational number because it can be expressed as a fraction of two integers.

-4/2 is an :

Solution:

Before we make any decisions about the type of number -4/2 is, let's simplify it first.

It's the same as -2. Now, let's familiarize ourselves with the sets of numbers out there. Where does -2 fit in?

______________

This set incorporates only positive numbers and zero. So -2 doesn't belong here.

This set incorporates whole numbers and negative numbers. So -2 belongs here.

This set has integers, fractions, and decimals. So -2 does belong here too.

This is a set for numbers that cannot be written in fraction form (a/b, where b ≠ 0). So -2 doesn't belong here.

-4/2 belongs in the integer and rationals set.

Answer:

The appropriate test for the investigation is;

E. A chi-square test of independence

Step-by-step explanation:

The chi-square test for independence is for the analysis of two categories from within a population to evaluate the existence of association among the different categories within the two variables

The chi-square test for independence is used for the analysis of contingency (frequency) table

Therefore, the appropriate test for the investigation in finding out (1) the textbook preference and (2) the class level of the associated student is the chi-square test of independence

Answer:

1/36

Step-by-step explanation:

6^-2

~Use negative exponent rule [ a^-b = 1/a^b ]

1/6^2

1/36

Best of Luck!

Answer:

\(\huge\boxed{\sf \frac{1}{36}}\)

Step-by-step explanation:

\(\displaystyle = 6^{-2}\\\\We \ know \ that\ a^{-b} = \frac{1}{a^b} \\\\= \frac{1}{6^2} \\\\= \frac{1}{36} \\\\\rule[225]{225}{2}\)

Hope this helped!

TLDR: 88%

The probability of neither event happening is the complement of the probability of either event happening, which is 100 - 12 = 88.

Cheers,

qxxi

Answer:

The answer you're looking for is 1470.

Step-by-step explanation:

The method I used was PEMDAS

Since there was no parenthesis, I simplified the exponents.

2.130 x 10³ - 6.6 x 10² = ?
2.130 x 1000 - 6.6 x 100 = ?

After that, I multiplied all terms next to each other.

2.130 x 1000 - 6.6 x 100 = ?
2130 - 660 = ?

The final step I did was to subtract the two final terms and ended up with 1470 as my final answer.

1470 = ?

I hope this was helpful!

Answer:

Please check the question.  I don't see information that tells us how long either must travel before reaching either home.  They are said to be going "in the same direction."  But there is no indication of when they reach Jess' home.  I might not understand the question, but I don't think Raj would drown his car and still make it.

Step-by-step explanation:

Raj lives 25.5 kilometers from Jess.

Given that,

Jess left her home and rode her bike along the road at a constant speed of 18km/h.

Raj left his home 10 minutes after Jess.

First, convert the time into hours,

Jess rode her bike for a total of 40 minutes, which is;

40/60 = 2/3 hours.

Since Raj left 10 minutes after Jess, he only drove for;

40 - 10 = 30 minutes,

which is 30/60 = 1/2 hours.

Now, the distance Jess traveled,

She rode her bike at a constant speed of 18 km/h for 2/3 hours. Therefore, the distance she traveled is:

Distance = Speed × Time

= 18 km/h × 2/3 hours

= 12 km.

Next, the distance Raj traveled,

He drove his car at a constant speed of 75 km/h for 1/2 hour.

Therefore, the distance he traveled is:

Distance = Speed × Time

= 75 km/h × 1/2 hours

= 37.5 km.

Since Raj overtook Jess, so subtract the distance Jess traveled from the distance Raj traveled to find out the number of kilometers from Jess Raj lives:

Distance from Jess = Distance Raj traveled - Distance Jess traveled

= 37.5 km - 12 km

= 25.5 km.

So, Raj lives 25.5 kilometers from Jess.

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The solution to the equation -1/2w - 3/5 = 1/5w is w = -6/7, meaning that w equals negative six-sevenths when the equation is true.

To solve the equation -1/2w - 3/5 = 1/5w, we'll start by simplifying and rearranging the terms to isolate the variable w.

First, we'll combine like terms on the left side of the equation:

-1/2w - 3/5 = 1/5w

To make the equation easier to work with, let's get rid of the fractions by multiplying every term in the equation by the common denominator, which is 10:

10 * (-1/2w) - 10 * (3/5) = 10 * (1/5w)

This simplifies to:

-5w - 6 = 2w

Next, we'll group the w terms on one side of the equation and the constant terms on the other side:

-5w - 2w = 6

Combining like terms, we have:

-7w = 6

Now, we'll isolate the variable w by dividing both sides of the equation by -7:

(-7w)/(-7) = 6/(-7)

This simplifies to:

w = -6/7

Therefore, the solution to the equation -1/2w - 3/5 = 1/5w is w = -6/7.

In conclusion, w is equal to -6/7 when the equation -1/2w - 3/5 = 1/5w is satisfied.

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Answer:

33.51 units³

Step-by-step explanation:

Volume of a sphere is given by the formula :

V = \(\frac{4}{3} \pi r^{3}\)

Because we have the radius we can plug it into the equation to give us :

V  = (4/3)×π×(2)³

V = 4/3×8π

V ≈ 33.51

Units will be units³ since no measurement is given but it to the power of 3 since it is volume.

==================================================

Work Shown:

\(y = \frac{4x+30}{x+5}\\\\y = \frac{4x+20+10}{x+5}\\\\y = \frac{(4x+20)+10}{x+5}\\\\y = \frac{4(x+5)+10}{x+5}\\\\y = \frac{4(x+5)}{x+5}+\frac{10}{x+5}\\\\y = 4+\frac{10}{x+5}\\\\\)

Therefore, a = 10

--------------

As an alternative approach, we could work in reverse like this:

\(y = 4+\frac{a}{x+5}\\\\y = 4*\frac{x+5}{x+5}+\frac{a}{x+5}\\\\y = \frac{4(x+5)}{x+5}+\frac{a}{x+5}\\\\y = \frac{4(x+5)+a}{x+5}\\\\y = \frac{4x+20+a}{x+5}\\\\\)

Then notice that the 20+a must be 30, so solving 20+a = 30 leads to a = 10

--------------

As yet another alternative approach (well I suppose it's actually 2 extra approaches) we could use either polynomial long division or synthetic division. Either way, you should end up with a remainder of 10, which corresponds directly to a = 10

Answer:

D

Step-by-step explanation:

-7 cubed = -343

-3 squared = -9

-343 - (-9) = -334

\(\qquad\qquad\huge\underline{{\sf Answer}}\)

Concept : As we know, Angle made by an arc on the centre of the circle is double the angle made by the same arc on the part of circle.

Therefore, we can infer that :

\(\qquad \sf  \dashrightarrow \:\angle O= 2 × \angle R\)

\(\qquad \sf  \dashrightarrow \:\measuredangle O= 2 × 28 \degree\)

\(\qquad \sf  \dashrightarrow \:\measuredangle O= 56 \degree\)

I hope that helps ~

Step-by-step explanation:

Your question does not give what you need explanation on, but I will try to help to the best of my ability with information given.

Find all values of x:

4x^3 + 28x^2 + 40x

I am going to factor out the highest common number.

4(x^3 + 7x^2 + 10x) = 0

now I am going to factor out the highest common variable possible.

4x(x^2 + 7x + 10) = 0

now I am going to find what x is in the parentheses.

x^2 + 7x + 10 = 0

now what number times another equals 10? well that would 5*2 = 10 or 10*1 = 10

now out of these two sets of numbers which plus or minus itself will equal 7?

5+2 = 7

so therefore, are number are 5 and 2

now we will separate the equation to get:

(x+5)*(x+2)

now checking this we can see we get our equation again:

x*x + 5*x + 2*x + 5*2 => x^2 + 7x + 10

there for (x+5)*(x+2) is correct.

now lets solve for x:

x + 5 = 0

x = -5

x + 2 = 0

x = -2

4x = 0

x = 0/4

x = 0

Therefore, x equals:

x = -5, -2, 0

This is the answer.

I hope this helps! Like I said previously not all information was given, so I hope that this is the answer you were looking for.

Please leave a like!!!

Isotope 24 Na with a half-life of 15 hours and a sample mass of 2 grams, the formula: m(t) = m₀ * e^(-kt) where m(t) is the mass of the sample at time t, m₀ is the initial mass, e is the base of the natural logarithm, k is the decay constant, and t is the time elapsed. Therefore, the rate of decrease in mass after 5 hours is: (2 g - 1.29 g) / 5 hours ≈ 0.14 g/hour


We can model the decay of the Sodium-24 isotope using the exponential decay formula, which includes the terms isotope, mass, and half-life.

Let M(t) represent the mass of the isotope at time t. The exponential decay formula is:
M(t) = M₀ * e^(-λt)

where M₀ is the initial mass (2 grams), e is the base of the natural logarithm (approximately 2.718), λ is the decay constant, and t is the time in hours.

First, we need to find the decay constant λ using the half-life (15 hours). The relationship between λ and half-life is:

λ = ln(2) / half-life

So, λ = ln(2) / 15 ≈ 0.0463.

Now we have our decay equation:

M(t) = 2 * e^(-0.0463t)

To find the rate of decrease in mass after 5 hours, we need to find the derivative of M(t) with respect to t:

dM(t)/dt = -0.0463 * 2 * e^(-0.0463t)

After 5 hours, we can calculate the rate of decrease by substituting t = 5 into the derivative equation:
dM(5)/dt = -0.0463 * 2 * e^(-0.0463 * 5) ≈ -0.0804 g/h

So, after 5 hours, the mass of the Sodium-24 isotope is decreasing at a rate of approximately 0.0804 grams per hour.

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Answer:

10 ft

Step-by-step explanation:

The length of the slide can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

6² + 8² =

36 + 64 = 100

c = √100

c = 10

Answer:

≈226.1947

Step-by-step explanation:

have a great day and thx for your inquiry :)