6r + 4n when r = 5 and n = 2

By solving the given equation x/7 - 6 = - x/6 + 5 we get x value = 462/13.

What is called the equation?

Given that :

     x/7 - 6 = - x/6 + 5

Multiply the denominators with numerator on both sides

                x / 7 - 6(7) = - x / 6 + 5(6)

                  x - 42 / 7 = - x + 30 / 6

Multiply both denominators with numerator on both sides

                  6 (x - 42) = 7 (- x + 30)

Multiply 6 and 7 inside the bracket

                   6x - 252 = - 7x + 210

Separate x terms and constant terms

                    6x + 7x = 210 + 252

                           13x = 462

                              x = 462 / 13

Therefore, x = 462 /13

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Answer:

√17, √18,√19,√20,√21,√22,√23 ,√24

Step-by-step explanation:

The spread of the sampling distribution is equal to the standard deviation divided by the square root of the sample size.

What is sample size?

The sample size is defined as the number of observations used to estimate a given population. The population was used to determine the size of the sample. The process of selecting a subset of individuals from a population to estimate the characteristics of the entire population is known as sampling. For analysis, the number of entities in a subset of a population is chosen.

The spread of the sampling distribution is proportional to the spread of the sample and its size. We calculate the spread of the sampling distribution as the population standard deviation divided by the square root of the sample size.

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Answer:

I think the answer is A

Step-by-step explanation:

IHope it helps

The expression a/b * c/d is an illustration of number types

The expression is given as:

a/b * c/d

Next, we test the given numbers

(a) 8.96

Express 8.96 as a fraction

8.96 = 896/100

Express the numerator and the denominator as products

8.96 = (224 * 4)/(50* 2)

Split the fraction

8.96 = 224/50 * 4/2

The above equation shows that 8.96 can be written in the form a/b * c/d.

Hence, the truth value of 8.96 is yes

(b) 5√6

Express 5√6 as a product expression

5√6 = 5 * √6

Evaluate the product

5√6 = 12.2474.....

The result of 5√6 is a non-terminating decimal

Hence, the truth value of 5√6 is no

(c) 15

Express 15 as a fraction

15 = 90/6

Express the numerator and the denominator as products

15 = (9 * 10)/(3 * 2)

Split the fraction

15 = 9/3 * 10/2

The above equation shows that 15 can be written in the form a/b * c/d.

Hence, the truth value of 15 is yes

(d) π/4

Express π as 22/7

π/4 = 22/7/4

Rewrite the expression as products

π/4 = 22/7 * 1/4

The above equation shows that π/4 can be written in the form a/b * c/d.

Hence, the truth value of π/4 is yes

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The correct answer is option C) The sample percentage probably won't be exactly 70%, but we expect it to be close to this value.

When drawing with replacement, each ticket has an equal chance of being selected on each draw. Therefore, the probability of drawing a ticket labeled 1 is always 70%, and the probability of drawing a ticket labeled 0 is always 30%.

However, the sample percentage is the result of random sampling, and it can vary from the true population percentage. While the expected value of the sample percentage is indeed 70%, the actual observed percentage may differ due to sampling variability.

In this case, we are drawing 500 times from the box. According to the law of large numbers, as the sample size increases, the sample percentage tends to converge to the true population percentage. However, there is still a chance that the sample percentage deviates from the expected value.

The extent of this deviation depends on the variability of the sample. In this scenario, since the box contains 30% of tickets labeled 0, and there is a random sampling process involved, it is likely that some draws will result in a higher percentage of 0 tickets and a lower percentage of 1 tickets, and vice versa. However, the overall trend should be close to 70% for tickets labeled 1.

Therefore, while it is possible to observe a sample percentage that is exactly 70%, the most likely outcome is a sample percentage that is close to 70% but may deviate slightly. Hence, option C) is the most appropriate choice.

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Answer: 3 23 divided by 22 = 2(3 - 2) = 21 = 2 think it’s 2

Step-by-step explanation: Changes made to your input should not affect the solution:

(1): "^-2" was replaced by "^(-2)".

(2): "y4" was replaced by "y^4".

STEP

1

:

Equation at the end of step 1

(((0-((2x•(y3))•z))-2)3)•(((2x2•y4)•z)-2)

STEP

2

:

Equation at the end of step

2

:

(((0 - (2xy3 • z)) - 2)3) • (2)(-2)x(-4)y(-8)z(-2)

STEP

3

:

STEP

4

:

Pulling out like terms

4.1 Simplify ( -2xy3z-2 )3

Put the exponent aside and simplfy the base by pulling out like factors :

-2xy3z-2 = -2 • (xy3z+1)

Remember the 4th law of exponents : (a • b)m= am• bm

Retract the exponent and apply the 4th law to the simplified base: ( -2 • (xy3z+1) )3 = (-2)3 • (xy3z+1)3

Trying to factor as a Sum of Cubes:

4.2 Factoring: xy3z+1

Put the exponent aside, try to factor xy3z+1

Theory : A sum of two perfect cubes, a3 + b3 can be factored into :

(a+b) • (a2-ab+b2)

Proof : (a+b) • (a2-ab+b2) =

a3-a2b+ab2+ba2-b2a+b3 =

a3+(a2b-ba2)+(ab2-b2a)+b3=

a3+0+0+b3=

a3+b3

Check : 1 is the cube of 1

Check : x 1 is not a cube !!

Ruling : Binomial can not be factored as the difference of two perfect cubes

Dividing exponents:

4.3 23 divided by 22 = 2(3 - 2) = 21 = 2

Final result :

-2 • (xy3z + 1)3

————————————————

x12y24z6

Answer:

y = -x - 1   &  y = -3x - 1

Step-by-step explanation:

Answer: 1,1 for he first one and 1/4 on the second

Step-by-step explanation: rise/ run

Answer:

3

Step-by-step explanation:

We can find the value of x using Euclidean theorem

√18^2 = 5 × x

18 = 5x

3 = x

Answer:   LM = 57

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

Explanation:

A median of a triangle goes from a vertex to the midpoint of the opposite side. The three medians of this triangle are these segments:

The three medians intersect at the centroid point, which is point Q.

It turns out that the centroid cuts each median such that LQ is twice as long compared to QM. We can say

LQ = 2*QM

Applying the segment addition postulate and substitution, we then get,

LQ + QM = LM

2QM + QM = LM

3QM = LM

LM = 3QM

Now let's use LQ = 38 to find QM

LQ = 2*QM

38 = 2*QM

QM = 38/2

QM = 19

This then means,

LM = 3QM

LM = 3*19

LM = 57

Segment LM is 57 units long.

Answer:

3

Step-by-step explanation:

The actual prime factors of 60 are 2, 3, and 5.

Answer:

3

Step-by-step explanation:

prime fatorizations are 2, 3, and 5

Answer:

x=2

Step-by-step explanation:

x=14cm/7cm

x=2cm

waakan jawaabta kafaa ideesi wcan

The required GCF is 8.

The greatest common factor is that greatest number from the factors which divides the number completely.

For example take numbers 12 and 16.

The factors of 12 are 2×2×3.

And the factors of 16 are 2×2×2×2.

We can clearly see that the common factors are 2×2 which gives 4. So, 4 is the greatest common factor which divides both 12 and 16.

Here it is given to find the greatest common factor of 16 and 40.

Factors of 16 = 2×2×2×2

Factors of 40 = 2×2×2×5

We can see clearly the common factors are 2×2×2 which gives 8.

So, 8 is the greatest common factor.

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Answer:

7

Step-by-step explanation:

The middle 2 numbers are 6 and 8. Add them both up and divide them by 2. Gets you 7.

Answer:

126 books/month= 14 books a month

books/1months = 14

Step-by-step explanation:

126/9=14

Answer:

14 books per month

Step-by-step explanation:

\(\frac{126books}{9 months}\) = \(\frac{14books}{1month}\)

The solution of the given initial value problem is:y(t) = (2/21)(sin t - 1/2)\(e^(-t/2)\)Check:

Given: y'' + y' + 5/4y = g(t); y(0) = 0, y'(0) = 0; g(t) = { sin t, 0 < t < π0, t > πTo find:

The solution of the given initial value problem.

Solution:We can find the solution of the given initial value problem in the following ways.

Determine the homogeneous solution: y'' + y' + 5/4y = 0Characteristic equation is m² + m + 5/4 = 0(m + 1/2)² + 1/16 = 0(m + 1/2)² = -1/16m + 1/2 = ± (i/4)

So the solution of the homogeneous differential equation:

y_h(t) = c₁ cos(t/2) + c₂ sin(t/2)where c₁ and c₂ are constants.Particular integral, y_p(t):g(t) = { sin t, 0 < t < π0, t > πHence, the solution of the given differential equation:

y(t) = y_h(t) + y_p(t)y(t) = c₁ cos(t/2) + c₂ sin(t/2) + (2/21)(sin t - 1/2)\(e^(-t/2)\)So, the solution of the given initial value problem is:y(t) = (2/21)(sin t - 1/2)\(e^(-t/2)\)Check:

Let's check if the given function satisfies the initial conditions.y(0) = (2/21)(sin 0 - 1/2)\(e^(0/2)\)= -1/21y'(0) = [(2/21)cos0 + (1/2) (2/21) (-1/2) ]\(e^(0/2)\)= 0

The given initial conditions are satisfied.

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Answer:

B

Step-by-step explanation:

First calculate the slope. \(\frac{y2-y1}{x2-x1}\). In this case, the slope is \(\frac{4}{5}\).

If you look at all of the answer choices, they are in slope - intercept form. This makes it easier! All you have to do is find an equation with the slope 4/5 that uses the point (4,1) or (9,5).

The standard slope intercept form for a point (a,b) is

y-b = m(x-a).

Remember that two negatives equal a positive.

Substitute in the slope for m and (4,1) or (9,5) for the point (a,b).

Step-by-step explanation:

-3 + 4,5 + 1,2 = 1,5+1,2 = 2,7

Answer:

the answer is 2.7

Step-by-step explanation:

.......

..

The media challenge faced in the scenario is increasing audience fragmentation.

The cost price is abbreviated as C.P.  The price at which an article is sold is known as its selling price. The selling price is abbreviated as S.P.It is a price above the cost price and includes a percentage of profit also.

The media challenge described in the scenario is increasing audience fragmentation. Audience fragmentation occurs when there are numerous media options available, and consumers have different preferences and behaviors regarding media consumption. This makes it challenging for media planners and buyers to identify the most effective media outlets to reach their target audience. In the case of Ford, their media planners and buyers had put a lot of effort into selecting the best media outlets, but still had to pull their campaign due to the challenges posed by audience fragmentation. Therefore, the media challenge faced in the scenario is increasing audience fragmentation.

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Answer:

14:11

Step-by-step explanation:

Answer:

11:14

Step-by-step explanation:

that's what a ratio is

The greater the discount from fair value, the smaller the liquidity index will be, and the greater the liquidity risk the FI will be exposed to.

The days needed to turn a company's trade receivables or inventory into cash are determined by the liquidity index.

Thus, the liquidity index would be smaller and the FI will be exposed to more liquidity risk the wider the discount from fair value.

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The change in population between 1995 and 2000 is approximately 1,051.27, and the population in 2020 is approximately 24,854.05.

Let's go through the calculations step by step and provide a complete explanation.

Given information:

Initial population in 1990 = 10,000

The rate of change of population is given by:

\(P'(t) = 200e^{(0.02t)\)

To calculate the change in population between 1995 and 2000, we need to find the difference between the population at those two points in time. We can achieve this by integrating P'(t) to obtain P(t) and then evaluating it at the desired time points.

Integrating P'(t) with respect to t, we have:

∫(P'(t)) dt = ∫\((200e^{(0.02t)})\) dt

To integrate this, we use the chain rule backwards. Let u = 0.02t, du = 0.02dt. Rearranging, we have dt = du/0.02. Substituting into the integral:

∫\((200e^{(0.02t)})\)  dt = ∫(200\(e^u\)) (du/0.02) = 10,000\(e^u\)+ C

Now, we evaluate this expression at t = 5 and t = 10:

\(P(5) - P(0) = (10,000e^{(0.02*5) }+ C) - (10,000e^{(0.02*0)} + C) = 10,000e^{(0.1) }- 10,000\\P(10) - P(0) = (10,000e^{(0.02*10) }+ C) - (10,000e^{(0.02*0)} + C) = 10,000e^{(0.2)} - 10,000\)

Using a calculator, we find:

P(5) - P(0) ≈ 10,000e^(0.1) - 10,000 ≈ 1,051.27

P(10) - P(0) ≈ 10,000e^(0.2) - 10,000 ≈ 2,208.50

Therefore, the change in population between 1995 and 2000 is approximately 1,051.27, and the change in population between 1990 and 2000 is approximately 2,208.50.

To determine the population in 2020 (30 years after 1990), we need to evaluate P(t) at t = 30. Using the integrated form of P(t):

\(P(30) - P(0) = (10,000e^{(0.02*30) }+ C) - (10,000e^{(0.02*0) }+ C) = 10,000e^{(0.6)}- 10,000\)

Using a calculator, we find:

\(P(30) - P(0) = 10,000e^{(0.6) }- 10,000 = 24,854.05\)

Therefore, the population in 2020 would be approximately 24,854.05, assuming the given population growth model holds true.

In summary, the change in population between 1995 and 2000 is approximately 1,051.27, the change in population between 1990 and 2000 is approximately 2,208.50, and the population in 2020 is approximately 24,854.05.

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The complete question is:

The population of a certain town was 10,000 in 1990. The rate of change of the population, measured in people per year, is modeled by P'(t) = 200e^0.02t, where t is measured in years since 1990. Discuss the meaning of upper integral = 20, lower integral =0 P'(t) dt. Calculate the change in population between 1995 and 2000. Do we have enough information to calculate the population in 2020? If so, what is the population in 2020? Explain your answers.

Answer:

x < 18

Step-by-step explanation:

5/3 x + 10 < 40

5/3 x < 30

5 x < 30 *3 => 5x < 90

x < 90/5 = > x < 18

Answer:

\( \frac{5}{3} x + 10 < 40 \\ \frac{5}{3} x < 40 - 10 \\ \frac{5}{3} x < 30 \\ x < \frac{(30 \times 3)}{5} \\ x < 6 \times 3 \\ \boxed{x < 18}\)

The value of 'x' that makes (f - g)(x) equal to zero, the answer is x = 12.

To find the value of 'x' for which (f - g)(x) = 0, we need to determine the value of 'x' that makes the difference between f(x) and g(x) equal to zero.

Given:

f(x) = 16x - 30

g(x) = 14x - 6

To calculate (f - g)(x), we subtract g(x) from f(x):

(f - g)(x) = f(x) - g(x)

= (16x - 30) - (14x - 6)

= 16x - 30 - 14x + 6

= 2x - 24

We set (f - g)(x) equal to zero and solve for 'x':

2x - 24 = 0

Adding 24 to both sides of the equation:

2x = 24

Dividing both sides by 2:

x = 12

The solution is x = 12 for the value of "x" that causes (f - g)(x) to equal zero.

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Given data:

Total packs 3x3 sticky notes: 24 packs

Cost of 24 packs: 28.99

Number of sticky notes in a pack: 100

With the information above, we can proceed to find the answers to the questions

Part A: What is the price for each pack?

Since 24 packs cost 28.99

Then 1 pack will cost =

Hence, a pack will cost $1.21

Part B: How much is every single sticky note?

Since each pack cost 1.21, and each pack has 100 sticky notes, then

each sticky note will cost

=> every single sticky note will cost $0.012

The number of each type of coins are as follows:

q = 15 quarters.

d = 30 dimes.

n = 25 nickels.

In order to solve this word problem, we would assign a variables to the unknown numbers and then translate the word problem into algebraic equation as follows:

Let d represent the number of dimes.

Let q represent number of quarters.

Let n represent number of nickels.

Let T represent total number of coins.

Note: 1 quarter is equal to 0.25 dollar, 1 nickel is equal to 0.5 dollar, and 1 dime is equal to 0.1 dollar.

Translating the word problem into an algebraic equation, we have;

Dimes; d = 2q     .....equation 1.

Nickels; (70 - (q + 2q)) = (70 - 3q)     .....equation 2.

Total coins; T = n + d + q

0.5(70 - 3q) + 2q(0.1) + q(0.25) = 8.00

Multiplying all through by 100, we have:

5(70 - 3q) + 2q(10) + q(25) = 800

350 - 15q + 20q + 25q = 800

350 + 30q = 800

30q = 800 - 350

30q = 450

q = 450/30

q = 15 quarters.

For the number of dimes, we have:

Dimes, d = 2q

Dimes, d = 2(15)

Dimes, d = 30 dimes.

For the number of nickels, we have:

Nickels, n = (70 - 3q)

Nickels, n = (70 - 3(15))

Nickels, n = (70 - 45)

Nickels, n = 25 nickels.

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V = π [(3(\(\sqrt{18/2}\))³/1) - (2(\(\sqrt{18/2}\))⁵/15)] - π [0]

Simplifying this expression will give us the final volume of the solid.

, we need to evaluate the triple integral:

V = ∫₀²π ∫₀ᵣ ∫(18 - 2r²) r dz dr dθ

Integrating with respect to z first, we have:

V = ∫₀²π ∫₀ᵣ (18 - 2r²) r dr dθ

Integrating the volume with respect to r, we get:

V = ∫₀²π [(9r² - 2/3r⁴)]ᵣ₀ dθ

Simplifying the expression inside the brackets and evaluating the integral, we have:

V = ∫₀²π (9r² - 2/3r⁴) dθ

V = π [(9/3)r³ - (2/15)r⁵]ᵣ₀

V = π [(3r³/1) - (2r⁵/15)]ᵣ₀

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The sample tensile strength of fiber specimens will be greater than 75.75 psi in 43.25 percent of cases.

Z-score: Z-score indicates how much a given value differs from the standard deviation. The Z-score, or standard score, is the number of standard deviations a given data point lies above or below mean. Standard deviation is essentially a reflection of the amount of variability within a given data set.

given that a synthetic fiber used in manufacturing carpet has a tensile strength that is normally distributed with a mean 75.5 psi and standard deviation 3.5 psi

z = (raw score - mean) / (sample standard deviation - standard deviation)

n = 6; mean=75.5 psi; standard deviation=3.5 psi.

For (greater than) > 75.75,

z = (75.75 - 75.5) / (3.5 ÷√6) = 0.17

P(z > 0.17) = 1 - P(z < 0.17) = 1 - 0.5675 = 43.25%

The sample tensile strength of fiber specimens will be greater than 75.75 psi in 43.25 percent of cases.

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