I need help with -3x + 6 = 24

Answer: -27.058 or -27 29/500

Step-by-step explanation:

Answer:

-30

Step-by-step explanation:

18/5 x (-25/3)

-6 x -5

-30

The solution to the equation 3.3 + 4x = -6.9x + 6.6, rounded to the nearest tenth, is x ≈ 0.3.

To solve the equation 3.3 + 4x = -6.9x + 6.6, we need to isolate the variable x on one side of the equation.

First, let's simplify the equation by combining like terms:

3.3 + 4x = -6.9x + 6.6

Next, let's move the variable terms (4x and -6.9x) to one side and the constant terms (3.3 and 6.6) to the other side:

4x + 6.9x = 6.6 - 3.3

Combine the x terms on the left side:

10.9x = 3.3

Now, divide both sides of the equation by 10.9 to solve for x:

x = 3.3 / 10.9

Using a calculator, we can find the decimal approximation of x:

x ≈ 0.3028

Rounding to the nearest tenth, the solution to the equation is x ≈ 0.3.

In summary, the solution to the equation 3.3 + 4x = -6.9x + 6.6, rounded to the nearest tenth, is x ≈ 0.3.

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Answer:

L = 100

W = 60

Step-by-step explanation:

2L + 2W = 320

-2L + 2W = -80

4W = 240

W = 60

L - W = 40

L - 60 = 40

L = 100

Answer:

Step-by-step explanation:

Table 1 represents a proportional function.  Here's how we recognize that:  every time x increases by 1, y increases by 8:  y = 8x.  Note that this function does not have a y-intercept and the relationship is not proportional

Table 2 requires a bit more work to classify.  Notice that as x increases from 5 to 7 (a horizontal jump of 2 units), y increases from 5 to 21 (vertical jump of 16 units).  Thus, if this is a straight line, the slope is m = rise/run = 16/2 = 8.  Let's write a tentative equation for the straight line thru these two points:

y = mx + b  becomes 5 = 8(5) + b, or -35 = b.  The presence of a non-zero y-intercept is a sure giveaway that this is not a proportional relationship.

The permutation combination is 120 for 3 different topping pizzas are available.

Permutation Combination:

A variety of ways to select objects from a set, usually forming a subset without replacement. The selection of this subset is called a permutation if the order of selection is a factor, and a combination if the order is not a factor. The French mathematicians Blaise Pascal and Pierre de Fermat, in the 17th century, used many chances in his game of combinatorics and probability by considering the ratio of the number of required subsets to the number of all possible subsets stimulated the development of the theory.

The concepts of permutations and combinations and their differences can be illustrated by examining all the different ways of selecting pairs of objects from five identifiable objects such as the letters A, B, C, D and E.

According to the Question:

Given that :

Number of different toppings = 10

Number of Pizzas = 03

therefore,

The permutation  combination are :

                = 10!/7! 3!

                = 15 × 8

                = 120.

Therefore, there are 120 different combinations of toppings.

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The answer is that the town's percentage growth rate is approximately 3% per year.

To find the town's percentage growth rate, we can use the formula:

growth rate = (final population - initial population) / initial population * 100%

Let P be the initial population of the town, and let t be the time it takes for the population to double, which is 23 years in this case. We know that:

final population = 2P (since the population doubles)

t = 23 years

Substituting these values into the formula, we get:

growth rate = (2P - P) / P * 100% / 23

= P / P * 100% / 23

= 100% / 23

≈ 4.35%

However, this is the annual growth rate that would result in a doubling of the population in exactly 23 years. Since the question asks for the approximate percentage growth rate per year.

We need to find the equivalent annual growth rate that would result in a doubling time of approximately 23 years.

One way to do this is to use the rule of 70, which states that the doubling time (t) of a quantity growing at a constant percentage rate (r) is approximately equal to 70 divided by the growth rate:

t ≈ 70 / r

In this case, we want t to be approximately 23 years, so we can solve for r:

23 ≈ 70 / r

r ≈ 70 / 23

r ≈ 3.04%

Therefore, the town's percentage growth rate is approximately 3% per year.

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Answer:

The measurement used is "mm²"

Depending on the options provided, here are some answers in decreasing accuracy

16π mm² ; 50.26548 mm² ; 50.24 mm²

Step-by-step explanation:

To find the area of a circle, you'd use the equation:

A=πr²

And since you have been given a diameter:

d=2r

.: A=π(d/2)²

For the area, you take the unit provided and square it (eg cm to cm²) or just do u² if no units are provided. In your case, it is mm to mm²

All together, we can just replace the variable used with numbers to fill in:

A=π(8/2)²

.:A=π4²

.:A=16π mm²

Lastly, based on how your question is worded, the answer was either the measurement given or you need to simplify.

The measurement would be mm²

If π is typed into a calculator:

A= 50.265482...

If π≈3.14

A= 50.24

I'm also guessing this is multiple choice it is asking for the closest answer, in which case I have listed them in decreasing accuracy above.

Answer:

3x - 5y = 11

5(x + y) = 5

Expand the second equation:

5x + 5y = 5

Add both equations:

3x - 5y = 11

5x + 5y = 5

8x = 16

Solve for x:

8x = 16

x = 2

Input x in any equation and solve for y:

3(2) - 5y = 11

6 - 5y = 11

-5y = 5

y = -1

Answer:

42

Step-by-step explanation:

✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨

True. Small p-values support the rejection of the null hypothesis and provide evidence in favor of an alternative hypothesis.

Small p-values indicate that the observed sample data provides strong evidence against the null hypothesis. The p-value is a measure of the strength of evidence against the null hypothesis in a hypothesis test. It represents the probability of observing the obtained sample data, or more extreme data, if the null hypothesis is true.

When the p-value is small (typically less than a predetermined significance level, such as 0.05), it suggests that the observed sample data is unlikely to have occurred by chance under the assumption of the null hypothesis. In other words, a small p-value indicates that the observed data is inconsistent with the null hypothesis.

Conversely, when the p-value is large (greater than the significance level), it suggests that the observed sample data is likely to occur by chance even if the null hypothesis is true. In such cases, there is not enough evidence to reject the null hypothesis. Therefore, small p-values support the rejection of the null hypothesis and provide evidence in favor of an alternative hypothesis.

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To find the value of P(-2), we have to work backward from the given quotient and remainder. Given that the polynomial PX was divided by\(X2 + X - 4\), and the quotient was X - 1 and the remainder was X + 4, we can use these values to find the missing part of the polynomial.\(P(-2) = 8.\)

The division can be written as follows:\(PX ÷ (X2 + X - 4) = X - 1 + (X + 4) / (X2 + X - 4)\) The remainder theorem states that the remainder obtained when a polynomial is divided by x - a is equal to the value of the polynomial at a. We can use this theorem to find the value of P(-2).

We know that X - 1 is a factor of PX since it is the quotient obtained by dividing\(PX by X2 + X - 4.\) Therefore, we can write the following:\(P(X) = (X - 1)(X2 + X - 4) + (X + 4)\)

To find the value of P(-2), we can substitute -2 for X in the above equation:\(P(-2) = (-2 - 1)((-2)2 + (-2) - 4) + (-2 + 4)= (-3)(4 - 2 - 4) + 2= (-3)(-2) + 2= 8\)

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9514 1404 393

Answer:

  a) x = 14

  b) NP = 2 2/9; NL = 2 7/9

Step-by-step explanation:

a) The similarity statement tells you that angle P and angle L have the same measure:

  angle L = angle P

  3x +18 = 60

  x + 6 = 20 . . . . . divide by 3

  x = 14 . . . . . . . . . subtract 6

__

b) The proportional segments are ...

  PN/NQ = LN/NM

  y/3.2 = (5 -y)/4

  5y = 4(5 -y) . . . . . multiply by 16

  9y = 20 . . . . . . . . add 4y

  y = 20/9 = NP

  5 -y = (45 -20)/9 = 25/9 = NL

Answer:

21

Step-by-step explanation:

because 7 day or in a week so 7 time 3 = 21

Answer:

21

Step-by-step explanation:

Becasue there are 7 days in a week, So use and time 7x3 and you will get 21 multiplication.

Answer:

IM DIEING INSIDEEEEEEEEEEEEEEEEEEEE AS WE SPEAK AS I RIDE TOWARDS THE SUNSET AS WE SPEAK IM DIEING SLOWLYYYYYYYYYYYYYYYYYYYY OHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH AS SPEAK IM LEAVING THIS PLANET OH OH OHHHHHHHHHHHHHHHH

~ I wrote this song UwU

Step-by-step explanation:

Answer:

17 units

Step-by-step explanation:

Calculate the distance using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = A(- 6, - 4) and (x₂, y₂ ) = B(9, - 12)

AB = \(\sqrt{(9+6)^2+(-12+4)^2}\)

     = \(\sqrt{15^2+(-8)^2}\)

     = \(\sqrt{225+64}\)

      = \(\sqrt{289}\)

      = 17 units

Answer:

17 units

Step-by-step explanation:

To determine whether the sequence {an} = 5n/4n + 1 is convergent or divergent, we can analyze its behavior as n approaches infinity.

First, let's rewrite the expression for the nth term of the sequence:

an = 5n / (4n + 1)

As n approaches infinity, the denominator 4n + 1 becomes dominant compared to the numerator 5n. Therefore, we can simplify the expression by neglecting the term 5n:

an ≈ n / (4n + 1)

Now, we can consider the limit of the sequence as n approaches infinity:

lim(n→∞) n / (4n + 1)

To evaluate this limit, we can divide both the numerator and denominator by n:

lim(n→∞) (1 / 4 + 1/n)

As n approaches infinity, the term 1/n approaches zero, leaving us with:

lim(n→∞) 1 / 4 = 1/4

Since the limit of the sequence is a finite value (1/4), we can conclude that the sequence {an} = 5n/4n + 1 is convergent.

In other words, as n gets larger and larger, the terms of the sequence {an} get closer and closer to the limit of 1/4. This indicates that the sequence approaches a fixed value and does not exhibit wild oscillations or diverge to infinity. Therefore, we can say that the sequence is convergent.

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Answer:

Distributive property.

Step-by-step explanation:

A distributive property is a rule that states that, multiplying two factors such as a binomial and trinomial would give the same result as multiplying the sum of two addends by the other factor.

Hence, the distributive property is used to simplify the product of a binomial and trinomial.

For example, let's find the product of (2x + 4)(5x² + 3x + 10)

First of all, we would distribute trinomial into each of the term in the binomial.

2x(5x² + 3x + 10) + 4(5x² + 3x + 10)

Distributing the monomial into the trinomial, we have;

2x(5x²) + 2x(3x) + 2(10) + 4(5x²) + 4x(3x) + 4(10)

Expanding the bracket, we have;

10x³ + 6x² + 10 + 20x² + 12x² + 40

Collecting like terms, we have;

10x³ + (6x² + 20x² + 12x²) + 10 + 40

10x³ + 38x² + 50

Therefore, (2x + 4)(5x² + 3x + 10) = 10x³ + 38x² + 50

Answer:

-4 = s

Step-by-step explanation:

6=-3(s+2) multiply -3 into the parenthesis.

6=-3s-6 add 6 to the other side

12=-3s divide by -3 on both sides.

-4=s

The probability that one of the scores in the sample is less than 1484 is 0.2437 .

a)Given that mean u = 1403

standard deviation σ = 200

sample size n = 32

P(x>1484) = P(X-u/σ > 1484-1403/200)

                = P (z > 0.405)

P(x>1484) = 0.2437 .

hence the probability that one score is greater than 1484 is 0.405 .

b) Now we have to find the average of the scores of 48 samples.

P(x>1484)

= P(x-μ/ σ/√n> 1484-1403 /200/√48)

= P(z>2.805.)

Now we will use the normal distribution table to calculate the p value to be 0.002516.

p-value = 0.0025

Normal distributions are very crucial to statistics because not only they are commonly used in the natural and social sciences but also to describe real-valued random variables with uncertain distributions.

They are important in part because of the central limit theorem. This claim states that, in some cases, the average of many samples (observations) of a random process with infinite mean and variance is itself a random variable, whose distribution tends to become normal as the number of samples increases.

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Answer:

The volume would increase 8 times

Step-by-step explanation:

The volume of a cube is given by the following formula:

Volume = side^3

With a volume of 125 cm3, we have:

125 = side^3

Now, if we double the length of the side, we have that:

New volume = (2*side)^3

New volume = 8*side^3

New volume = 8 * 125 = 1000

So the ratio of the new volume over the old volume is:

New volume / Volume = 1000 / 125 = 8

So the volume increased 8 times.

Answer:

10i

Step-by-step explanation:

√-100 = √-1 × √100 = i × 10 = 10i

I don't understand why there are two boxes though.

The completely factored form of the polynomial is :\(\(12x^2 + 2x - 4 = 2(2x + 4)(3x - 1)\)\)

To completely factor the polynomial \(\(12x^2 + 2x - 4\)\), we need to find expressions that can be multiplied together to obtain the given polynomial.

First, we can look for common factors. In this case, all the coefficients are divisible by 2, so we can factor out a 2:

\(\(2(6x^2 + x - 2)\)\)

Now, we focus on factoring the quadratic expression \(\(6x^2 + x - 2\)\). We need to find two binomials that, when multiplied, give us this quadratic.

To factor \(\(6x^2 + x - 2\)\), we look for two numbers whose product is equal to \(\(6 \times -2 = -12\)\) and whose sum is equal to the coefficient of the middle term, which is 1.

After trying different combinations, we find that the numbers 4 and -3 satisfy these conditions:

\(\(6x^2 + x - 2 = (2x + 4)(3x - 1)\)\)

Putting it all together, the completely factored form of the polynomial is:

\(\(12x^2 + 2x - 4 = 2(2x + 4)(3x - 1)\)\)

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The range would be the most appropriate measure of spread in this case because it takes into account the extreme values of $300 and $1,300 and provides a clear measure of the difference between them.

To measure the amount of money college students spend on rent per month, the most appropriate measure of spread would be the range. The range is the simplest measure of spread and is calculated by subtracting the lowest value from the highest value in a data set. In this case, the range would be $1,300 - $300 = $1,000.

The median would not be the best choice in this scenario because it only represents the middle value in a data set. It does not take into account extreme values like the $1,300 rent expense.

Standard deviation would not be the most appropriate measure of spread in this case because it calculates the average deviation of each data point from the mean. However, it may not accurately represent the spread when extreme values like the $1,300 rent expense are present.

The interquartile range (IQR) would not be the best choice either because it measures the spread of the middle 50% of the data set. It does not consider extreme values and would not accurately represent the range of rent expenses in this scenario.

In summary, the range would be the most appropriate measure of spread in this case because it takes into account the extreme values of $300 and $1,300 and provides a clear measure of the difference between them.

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Answer:

Hello the answer is

diameter = 49cm;

radius = diameter/2 = 24.5cm;

circumference = 2πr ≈ 153.94 = 154cm

1 revolution = 154cm

50 revolution = 7700cm = 77m

I hope I am correct. also please mark brainliest

Step-by-step explanation:

Answer:

No, the actual Y would be 10 or based on the Y, the X should be 0.5.

Step-by-step explanation:

\(5\) × \(2 = 10\) not \(1\)

Answer:

f(-4)=85

Step-by-step explanation:

Given function

f(x)= 2x^2-10x+13

Now put x= -4, We get

f(-4)=2(-4)^2-10(-4)+13

f(-4)=2(16)+40+13

f(-4)=32+53

f(-4)=85

An example of a polynomial equation of least degree with rational coefficients that has the given numbers as some of its roots is x³ - 2x² - 10x + 24 = 0.

A polynomial equation is an equation in which the highest power of the variable is a degree. To find the polynomial equation of least degree (also known as the minimal polynomial) with given numbers as roots, multiply the factors of the form (x-root).

For example, if the roots are 2, -3, and 4, the polynomial equation would be (x-2)(x+3)(x-4). This results in a polynomial equation of degree 3 with the roots 2, -3, and 4. The coefficients of the polynomial equation are usually rational numbers (fractions) and the polynomial is known as a polynomial with rational coefficients.

Given the numbers as roots, the polynomial equation of the least degree (also known as the minimal polynomial) can be found by using the polynomial division theorem. The formula for the polynomial with roots x1, x2, x3, ..., xn is:

(x-x1)(x-x2)(x-x3)...(x-xn) = 0

For example, if the roots are 2, -3 and 4, the polynomial equation would be:

(x-2)(x+3)(x-4) = 0

or, after simplifying:

x³ - 2x² - 10x + 24 = 0.

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ab +c= d

To solve for b;

First subtract c from both-side of the equation

ab + c - c = d-c

ab = d-c

Then divide both-side of the equation by a

The probability that more boys than girls are chosen is 0.4590

as we know,

Probability of any event P(E) = \(\frac{Number of favorable outcomes}{Total number of outcomes}\)

We have to chose five students to do presentations and also number of boys must be greater than the girls.

In classroom there are 12 boys and 13 girls.

So, Possible arrangements can be: B - Boys, G - Girls

(3B, 2G) , (4B, 1G) , (5B, 0G).

Note: nCr = n! / ( (r!) x (n-r)! ) also see the attached figure.

To choose 5 students out of 25 students to do the presentation 25 C 5

25 C 5 = 25! / (5! x 20!) = 53,130

(3B, 2G) :

To chose 3 Boys out of 12 Boys 12 C 3 = 12! / (3! x 9!) = 220

To chose 2 Girls out of 13 Girls 13 C 2 = 13! / (2! x 11!) = 78

(4B, 1G) :

To chose 4 Boys out of 12 Boys 12 C 4 = 12! / (4! x 8!) = 495

To chose 1 Girl out of 13 Girls 13 C 1 = 13! / (1! x 12!) = 13

(5B, 0G) :

To chose 5 Boys out of 12 Boys 12 C 5 = 12! / (5! x 7!) = 792

To chose 0 Girl out of 13 Girls 13 C 0 = 13! / (0! x 13!) = 1

here, 0! is equal to 1.

Now, the probability that more boys than girls are chosen =

\(\frac{(220 *78) + (495 * 13) + (792 * 1) }{53,130}\)

P(E) = 0.4590

Hence, the probability that more boys than girls are chosen is 0.4590.

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