Solve the equation by balancing 3n+2=17

Answer:

176$

Step-by-step explanation:

a) The value in four years is 2,207,626

b) The growth rate percent is 102.5 %

c) It would attain the value in 11 years.

We know that a function has to do with a mathematical rule that is used for the establishment of a fact. We have from the question that the function that models the car is; V = 2000000(1.025)^n

Let us recall that n has to do with the number of years.

a) In four years, the value of the car would be;

V = 2000000(1.025)^4

V = 2,207,626

b) The growth rate percent of the function can  be obtained as;

1.025 * 100 = 102.5 %

c) To obtain the year in which the value of the car would reach 2624173.32, we have;

2624173.32 = 2000000(1.025)^n

2624173.32/2000000 = (1.025)^n

1.312 = (1.025)^n

ln1.312 = n ln (1.025)

n = ln1.312 /ln (1.025)

n = 0.272/0.025

n = 11

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Answer

\(\pink\sf{y=-1}\)

Step-by-step explanation

I'm assuming that this exercise is asking us to simplify the equation \(\sf{y=0.5(6)-4}\).

We know that 0.5 (6) means 0.5 multiplied by 6. That is the same as 6 divided by 2, which is 3:

\(\sf{y=3-4}\)

And now we just simplify the last part:

\(\sf{y=-1}\)

∴ answer: y = -1

Solving the inequality -6x + 10 < -2, then x < 7/3

It is quite similar to solving an equation to solve an inequality. Follow the guidelines below to solve the inequalities; they don't change the direction of the inequality:

So,

-6x + 10 < -2

-6x < -2-12

6x < 14

x < 14/6

x < 7/3

Hence, after Solving the inequality -6x + 10 < -2, then x < 7/3.

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The mean of the given data is 1744 days, median of the given data is 1460.5 days, mode of the given data is 1461 days & 4422 days.

To find the mean, median, and mode of the lengths of terms of the US Presidents that preceded Joe Biden:

Mean:

To find the mean, we add up all of the term lengths and divide by the total number of terms:

Mean = (4422 + 2922 + 2865 + 2840 + 2728 + 2041 + 2027 + 1886 + 1654 + 1503 + 1461 + 1460 + 1430 + 1419 + 1262 + 1036 + 969 + 895 + 881 + 492 + 199 + 31) / 44

Mean = 1743.77 days

Median:

To find the median, we need to arrange the term lengths in order from smallest to largest, and then find the middle term. In this case, since we have an even number of terms, we will take the average of the two middle terms:

31 199 492 881 895 969 1036 1262 1419 1430 1460 1461 1503 1654 1886 2027 2041 2728 2840 2865 2922 4422

Median = (1460 + 1461) / 2

Median = 1460.5 days

Mode:

The mode is the most frequently occurring term length. In this case, there are two modes: 1,461 days and 4,422 days.

Since the term length of FDR is much higher than all the other term lengths, it has pulled up the mean to a higher value than the other measures of central tendency. Additionally, the mode being a high value is likely due to the fact that FDR served for more than three terms, which is an outlier in the data set.

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Answer:

The slope is 3

Step-by-step explanation:

12x−4y=3

Solve for y

Subtract 12x from each side

-12x +12x−4y=-12x+3

-4y = 12x+3

Divide each side by -4

-4y/-4 = -12x / -4 +3/-4

y = 3x -3/4

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is 3

Answer:

The slope is 3

Step-by-step explanation:

12x−4y=3

Solve for y

Subtract 12x from each side

-12x +12x−4y=-12x+3

-4y = 12x+3

Divide each side by -4

-4y/-4 = -12x / -4 +3/-4

y = 3x -3/4

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is 3

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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The grams of cocoa does it contains is 36.57 grams

From the question, we have the following parameters that can be used in our computation:

Weight of the chocolate bar = 69

Proportion = 53%

This implies that

Grams of cocoa = weight of the chocolate bar * Proportion

Substitute the known values in the above equation, so, we have the following representation

Grams of cocoa = 53% * 69

Evaluate the products

Grams of cocoa = 36.57

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The value of p is 8 by the law of exponents.

What is exponents?

The base b and the exponent, or power, n, are used in the mathematical operation known as exponentiation. Its symbol is Bn, and its pronunciation is "b to the n."

An exponent is the number of times a number has been multiplied by itself. For instance, the phrase 2 to the third, which is represented as 23, means 2 to the power 3, 2 x 2 x 2 = 8, not 23, and 2 x 3 = 6, respectively.

Remember that every number multiplied by one is equal to itself. Exponents are a technique of expressing extremely large numbers in terms of powers.

The number of times a number has been multiplied by itself is the exponent, so to speak.

Given that,

9^p/9^5 = 9^3

By laws of exponents and power,

Here, p - 5 = 3

         p = 3 + 5

         p = 8

The value of p is 8 by the law of exponents.

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\(x = (-b ± sqrt(b^2 - 4ac)) / 2a\)The three consecutive integers are 5/2, 7/2, and 9/2. We can check that this solution works by squaring the third integer (9/2), adding it to the first integer (5/2), and verifying that the sum is indeed 130:

\((5/2) + (9/2)^2 = 130\)

Let's call the first of the three consecutive integers "x". Then, the next two consecutive integers are x+1 and x+2.

The problem tells us that the square of the third integer (which is x+2) added to the first integer (which is x) is 130. In equation form, we can write:

\(x + (x+2)^2 = 130\)

Simplifying the equation, we can expand the square:

\(x + x^2 + 4x + 4 = 130\)

Combining like terms:

\(x^2 + 5x - 126 = 0\)

Now we can use the quadratic formula to solve for x:

x = -b ±  \(sqrt(b^2 - 4ac)) / 2a\)

where a = 1, b = 5, and c = -126. Plugging these values into the formula, we get:

x = (-5 ±\(sqrt(5^2 - 4(1)(-126))) / 2(1)\)

x = (-5 ± \(sqrt(625)) / 2\)

x = (-5 ±25) / 2

So, x could be either -15/2 or 5/2. However, we are looking for three consecutive integers, so we can eliminate the negative value and choose x = 5/2.

Therefore, the three consecutive integers are 5/2, 7/2, and 9/2. We can check that this solution works by squaring the third integer (9/2), adding it to the first integer (5/2), and verifying that the sum is indeed 130:

\((5/2) + (9/2)^2 = 130\)

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Answer:

0.3137 ; 0.2228

Step-by-step explanation:

Given a normal distribution :

Morning class :

Mean(Mm) = 71%

Standard deviation (Sm) = 12%

Afternoon class:

Mean(Ma) = 78%

Standard deviation (Sa) = 8%

M = Mm - Ma = (71 - 78) = - m7

S = √Sm + Sa = √12² + 8² = √208

A. What is the probability that a randomly selected student in the morning class has a higher final exam mark than a randomly selected student from an afternoon class?

P(morning > afternoon) = p(morning - afternoon > 0)

Using:

Z = (0 - (-7)) / S

Z = 7 / √208

Z = 0.4853628

P(Z > 0.49) = 0.3137

B)

What is the probability that the mean mark of four randomly selected students from a morning class is greater than the average mark of four randomly selected students from an afternoon class?

Using:

Z = (4 - (-7)) / S

Z = 11 / √208

Z = 0.7627127

P(Z > 0.49) = 0.2228

Answer:

which out of those you want answer for? happy to help

Step-by-step explanation:

Answer:

The value is \(T =  0.06L \)

Step-by-step explanation:

From the question we are told that

   The sales tax is  \(k = 6\%\)

Generally the total amount of sales tax is mathematically represented as

      \(T =  6\%  \ of \  L\)

=>     \(T =  \frac{6}{100}  * L\)

=>     \(T =  0.06L \)

Answer: n=3.8

Step-by-step explanation:

It is long but does a good job of explaining it

Let's solve your equation step-by-step.

0.3(n−5)=0.4−0.2n

Step 1: Simplify both sides of the equation.

0.3(n−5)=0.4−0.2n

(0.3)(n)+(0.3)(−5)=0.4+−0.2n(Distribute)

0.3n+−1.5=0.4+−0.2n

0.3n−1.5=−0.2n+0.4

Step 2: Add 0.2n to both sides.

0.3n−1.5+0.2n=−0.2n+0.4+0.2n

0.5n−1.5=0.4

Step 3: Add 1.5 to both sides.

0.5n−1.5+1.5=0.4+1.5

0.5n=1.9

Step 4: Divide both sides by 0.5.

0.5n

0.5

=

1.9

0.5

n=3.8

Answer:

3.8

Step-by-step explanation:

Answer:

144ft^3

Step-by-step explanation:

To start, we have your formula: \(V=\frac{1}{2} (bh) (l)\)
b = base length of the triangle.
h = height of the triangle.
l = length of the prism

Fill in for each of those values:
\(V = \frac{1}{2} (6x6)(8)\)

\(V=\frac{1}{2} (36)(8)\)

\(V=(18)(8)\)

\(V=144\)

Your answer, because it is a 3D shape, should be cubed, so:
\(V=144ft^{3}\)

Answer: Hope that helps!

=13x+2y

Step-by-step explanation:

Combine Like Terms:

=4x+2y+9x

=(4x+9x)+(2y)

=13x+2y

Answer:

Each pen cost about $1.50

Step-by-step explanation:

My math is most likely wrong but I first did 22-10 and 12. Then I did 12 divided by 8 and got 1.50. Hope this helps :)

A two-sample z-interval for a population proportion. This method is used to create an estimate of the percentage of trees in a large forest that are infested with a certain beetle by taking a random sample of trees to inspect.

A two-sample z-interval for a population proportion is the most appropriate method for creating an estimate of the percent of trees in a large forest that are infested with a certain beetle. This method involves taking a random sample of trees from the forest and inspecting them to determine the proportion of infested trees. The sample size chosen should be large enough to provide a reliable estimate of the proportion of trees in the population that are infested. A two-sample z-interval is then used to calculate a confidence interval for the population proportion, which can be used to estimate the overall percent of trees in the forest that are infested with the beetle. This method can provide a reliable estimate of the percent of trees in the forest that are infested with the beetle, allowing environmentalists to make informed decisions regarding management of the forest.

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\(2x-8<7\\\\\implies 2x <7+8\\\\\implies 2x<15\\\\\implies x< \dfrac{15}2\)

By the Mean Value Theorem, there exists a number c in (1, 7) such that ƒ'(c) = 2/c and 2/c = ln7 / 6, and c ≈ 0.909.

The Mean Value Theorem (MVT) states that if a function ƒ(x) is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), then there exists a number c in (a, b) such that:

ƒ'(c) = [ ƒ(b) - ƒ(a) ] / (b - a)

ƒ(x) = 2lnx - 8 is continuous on the closed interval [1, 7], since it is the sum and composition of continuous functions.

ƒ(x) = 2lnx - 8 is differentiable on the open interval (1, 7), since its derivative ƒ'(x) = 2/x is defined and continuous on (1, 7).

Therefore, the Mean Value Theorem can be applied to ƒ(x) on [1, 7]. To find the value of c, we need to solve the equation:

ƒ'(c) = [ ƒ(b) - ƒ(a) ] / (b - a)

Substituting the given values, we get:

2/c = [ 2ln7 - 2ln1 ] / (7 - 1)

2/c = ln7

c = 2 / ln7

c ≈ 0.909

Therefore, by the Mean Value Theorem, there exists a number c in (1, 7) such that ƒ'(c) = 2/c and 2/c = ln7 / 6, and c ≈ 0.909.

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Answer: A

Step-by-step explanation: The bluebird Inn is more expensive per night because 475 is greater than 350.

The expression that is equivalent to the given expression, (8×10−2) (2.4×10−3), is 1.92 × 10⁻⁴

From the question, we are to determine the expression that is equivalent to the given expression

From the given information,

The given expression is

(8×10−2) (2.4×10−3)

First, we will write this expression properly

The given expression written properly is

(8 × 10⁻²)(2.4 × 10⁻³)

Now, we will evaluate the expression

Evaluating the expression

(8 × 10⁻²)(2.4 × 10⁻³)

8 × 2.4 × 10⁻² × 10⁻³

19.2 × 10⁻⁵

= 1.92 × 10⁻⁴

Hence, the expression is 1.92 × 10⁻⁴

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1. If the gross domestic product of a country is significantly higher in one year than in another, the factor that might account for the difference is d. all of these.

2. The Lorenz Curve for the United States indicates that the richest 20 percent of households have d. 46.8 percent of the nation's income.

3. The economic condition most likely to be caused by a war affecting oil production in the Mid East would be a. demand-pull inflation.

The gross domestic product or GDP refers to the total monetary value of goods produced and services provided in a country during one specific period.

The Lorenz Curve, developed by Max Lorenz measures income inequality or wealth inequality using a graphical representation.

When there is a shortage in supply, pressure is mounted on the available quantity of an item, causing its price to increase.

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Answer: Option (1)

Step-by-step explanation:

∠3 and ∠6 are supplementary because they are same-side interior angles. Therefore, the correct answer is option A.

From the given figure, m and n are parallel lines and l is transversal.

Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions.

Here, angle 3 and angle 6 are co-interior angles and sum of their angles is supplementary.

Therefore, the correct answer is option A.

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Answer:

14 students have to retake the test

Step-by-step explanation:

to calculate the mean mark as

sum of ( product of mark and frequency ) ÷ total

mean = \(\frac{14(2)+15(10)+16(2)+17(3)+18(13)}{30}\)

        = \(\frac{28+150+32+51+234}{30}\)

       = \(\frac{495}{30}\)

      = 16.5

students who score less than 16.5 will retake the test , that is

2 scored 16 , 10 scored 15 , 2 scored 14

number who have to retake test = 2 + 10 + 2 = 14

ANSWER

EXPLANATION

The student wants to convert 0.06 gm²/s² to kgm²/s².

To do that, multiply the number in gm²/s² by 0.001.

This means that the empty square will be 0.001 and the "?" will be the number in kgm²/s².

Therefore, we have that the equation is:

Answer:

calculator gave me 6.5732

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(1c-0.25c=0.75c\)

The smallest positive debt that can be paid off using sticker trading is $7$ dollars.

To find the smallest positive debt that can be paid off using sticker trading, we need to consider the values of the stickers (in dollars) and find the smallest positive amount that can be reached through a combination of these values.

Given that a Harry Potter sticker is worth $49 and a Twilight sticker is worth $35, we can approach this problem using the concept of the greatest common divisor (GCD) of these two values.

The GCD of $49$ and $35$ is $7$. This means that any multiple of the GCD can be represented using these sticker values.

In other words, any positive multiple of $7$ dollars can be paid off using sticker trading.

Therefore, the smallest positive debt that can be paid off using sticker trading is $7$ dollars.

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