What is the value of x in the equation 3/5(x + 2) = x−4

Answer:

1. His percentage score is 65%

Answer:

-4/9

Step-by-step explanation:

I used a calculator.

5/6(−8/15) in simplest form is -4/9.

A fraction is written in the form of a numerator and a denominator.There are two types of fractions. One is proper fraction in which numerator is less than the denominator and another one is improper fraction in which denominator is less than the numerator.All fractions can be written in the form of p/q, where q ≠ 0 cause anything divided by 0 is undefined.

According to the given questions we have to multiply two fractions        (5/6)(-8/15) which is

= -40/90.

= -4/9.

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The three computations covered by the reliability factor table are sample size, index of reliability, and index of precision. Sample size deals with the size of the sample being used in order to achieve a desirable level of reliability.

Index of reliability is used to measure the consistency of results achieved over multiple trials. It does this by calculating the total number of items that contribute significantly to the final result. Finally, the index of precision measures the effect size of the sample, which is determined by comparing the results from the sample with the expected results.

The sample size computation gives the researcher an idea of the number of items that should be included in a sample in order to get the most reliable results. This is done by taking into account a number of factors including the variability of the population, the type of measurements used, and the desired level of accuracy.

The index of reliability is commonly calculated by finding the ratio of the number of items contributing significantly to the total result to the total number of items in the sample. This ratio is then multiplied by 100 in order to get a final score.

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The probability that it takes three rolls until the player rolls doubles is 25/216.

The probability of rolling doubles with one roll of two fair six-sided dice is 1/6.

The probability of an event is nothing but a number between 0 and 1, where zero shows the impossibility, and one shows the certainty.

First, determine the probability of rolls to obtain doubles in each roll.

Fails in the first roll:

P = 1 - 1/6 = 5/6

Fails in the second roll:

P = 1 - 1/6 = 5/6

In the third roll, the player rolls doubles, that is,

p = 1/6

Now, the probability of requiring 3 rolls until getting doubles will be:

= 5/6 × 5/6 × 1/6

= 25/216

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Answer:

g divided by 15 equals 3; g = 45 gifts

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

30 divided by 6 is 5, therefor, 1/5 of the book club is made up of women, mean 4/5 of the book club is made up of men. 4/5 is equivalent to 8/10, which can be converted to 80%

Step-by-step explanation:

2*22/7*3.41=21.43

22/7*3.41*3.41=36.5454

Answer:

Step-by-step explanation:

Step-by-step explanation:

x≡3(mod4) and x≡5(mod6)

=> x≡-1(mod4) and x≡-1(mod6)

Since LCM of 4 and 6 is 12,

=> x≡-1(mod12)

=> x≡11(mod12)

The smallest positive integer for x is 11.

Answer:

11

Step-by-step explanation:

Because 4 and 6 aren't co prime we can't start the chinese remainder theorem

so first we check

\(x\equiv 3\mod4\\\\\rightarrow x\equiv 3 \mod 2\\\\\rightarrow x \equiv 3 \mod 2\)

because 4 = 2*2

\(x\equiv3\equiv1\mod2\)

and the other one

\(x\equiv5\mod6\\\\\rightarrow x\equiv5\mod2\\\\\rightarrow x\equiv5\mod3\\\\x\equiv5\equiv1\mod2\\\\x\equiv5\equiv2\mod3\)

so now we have

\(x\equiv3\mod4\\\\x\equiv1\mod2\\\\x\equiv2\mod3\)

but the mod 2 we don't need it

so now we have

\(x\equiv3\mod 4\\\\x\equiv 2\mod 3\\\\\)

for the first one we can say that

\(x=4n+3\)

so we plug in that in the second one

\(4n+3\equiv2\mod3\\\\4n\equiv2\mod3\\\\n\equiv2\mod3\)

we can say that

\(n=3k+2\)

so for x

\(x=4(3k+2)+3\\\\x=12k+8+3\\\\x=12k+11\)

so if k=0

a solution is 11

we check if it works

\(11\equiv8+3\equiv0+3\equiv3\mod4\)

\(11\equiv6+5\equiv0+5\equiv5\mod6\)

so it works so the smallest solution is 11

Answer:

\((x-1)^2 + (y+4)^2 = 100\\\\\)

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

Work Shown:

\((x-h)^2 + (y-k)^2 = r^2\\\\(x-1)^2 + (y-(-4))^2 = 10^2\\\\(x-1)^2 + (y+4)^2 = 100\\\\\)

You could expand terms out and simplify, but I think it's more handy to leave it in this form so you can easily spot the center and radius from a glance.

The solution is, (x - 1)² + (y + 4)² = 100 , is the equation of a circle that is centered at (1,-4) with a radius of 10.

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. The perimeter around the circle is known as the circumference.

here, we have,

we know that,

the standard form of a circle equation is

(x - h)² + (y - k)² = r²

where (h, k) is the center of the circle, and r is the radius.

to get r² we simply use the given radius,

here, r = 10

so, we get,

r² = 100

now, circle that is centered at (1,-4)

so, we have,

(x - 1)² + (y + 4)² = 10²

we get, equation in standard form is therefore

(x - 1)² + (y + 4)² = 100

Hence, The solution is, (x - 1)² + (y + 4)² = 100 , is the equation of a circle that is centered at (1,-4) with a radius of 10.

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Answer:

40cm

Step-by-step explanation:

set up a proportion of width to height.

10/16 = 25/x

cross multiply to get 10x = 400

solve for x and get 40 cm

check your answer by seeing that the poster width (25) is 2.5 x larger than the photograph width (10). the height should have the same ratio, so 16 x 2.5, does indeed = 40.

Divide 21 boxes into two groups so the ratio is 2:5 is 6 boxes and 15 boxes.

In this section, the terms ratio and percentage are defined. Many examples where the notion of the ratio is highlighted may be found in daily life, such as the rate of speed (distance/time) or price (rupees/meter) of a substance.

Sum of the ratio given is=2+5=7

Now to divide 21 into two groups in the ratio 2:5 , we have to use sum of the ratio.

first group is =\(\frac{2}{7}\)×21

first group is =6

and second group is =\(\frac{5}{7}\)×21=15

Hence the first group will get 6 boxes while other will get 15 boxes.

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Answer:

400.582

Step-by-step explanation:

Hope it helps!!!!!!!

Answer: 2nd option: 9-i

Step-by-step explanation:

We can add the numbers and the terms with i separately.

12 - 5i - 3 + 4i = (12 - 3) + (-5i + 4i)

= 9 + (-i)

*Adding a negative is essentially subtracting a positive*

= 9-i

Answer:

Option one 22 & 28

Step-by-step explanation:

\(100=2(2x-8)+2(x+4)\)

\(100=4x-16+2x+8\)

\(100+16-8=6x\)

\(108=6x\)

\(x=108/6=18\)

The XY side and its WZ partner side measure

\(2x-8=2(18)-8=36-8=28\)

The XW side and its partner YZ measure

\(x+4=18+4=22\)

check the perimeter

\(p=2(28) +2 (22)=56+44=100\)

Hope this helps

Answer:

i would say step 3 (but the whole solution till step 3 is also wrong/weird)

Step-by-step explanation:

from your equation this will be the solution

12x - 41 - 3 = 3

12x - 44 = 3

12x = 47

Answer:

solution,

\( - 2 = \frac{x - 17}{2} \: \\ - 2 \times 2 = x - 17 \\ - 4 = x - 17 \\ - x = - 17 + 4 \\ - x = - 13 \\ x = 13 \\ \\ 7 = \frac{y + 17}{2} \\ 14 = y + 17 \\ - y = 17 - 14 \\ - y = 3 \\ y = - 3\)

Therefore,

V=(13,-3)

Hope this helps...

Good luck on your assignment..

Answer:

the answer is (13,-3)

Step-by-step explanation:

i found this out by using the slope of the line (-10/15) and I check behind myself by using a midpoint calculator and still got the same answer which is v=(13,-3)

Answer:

Step-by-step explanation:

Given the equation 1 – (2x + 4) = –4x + 5, we are to find the correct solution of the equation;

Step 1: Open the parenthesis;

1 – (2x + 4) = –4x + 5

1-2x-4 = -4x + 5

1-4-2x = -4x +5

-3-2x = -4x + 5

Step 2: Collect like terms

-2x + 4x = 5 + 3

2x = 8

Step 3: divide both sides by 2;

2x/2 = 8/2

x = 4

Hence the correct value of x is 4

Answer:

Option B.

Step-by-step explanation:

If you begin with one dollar a day there will get you more by the end of the month because on day 2 your on 201 already which is more than you get in that month with one cent.

The first option (A) will give you more money than option (B).

A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.

The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).

Given that

Case A). Doubling each day

1 + 2+ 4 + 8 + 16 .... it is form a GP series with common ratio (r) 4/2 = 2

Number of terms (n)

Sum =  30( \(2^{30}\) - 1)/(2 - 1) = $2147483464.

Case B). Adding $100 each day

1 + (101 + 201 + 301 ....) it is form a ap series with common difference d = 201 - 101 = 100.

Number of terms = 29

Sum = 1 + 29/2 + [ 2 (101) + 28(100)] = $43530

Hence it is clear that case (A) will give you more money.

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Answer:

15.3125

Step-by-step explanation:

i gotchu

Answer:

right scalene triangle

a) When P is less than 5000,  the population is increasing. When P is greater than 5000, the population is decreasing.

b) If the initial population is 5500, the limiting population is 5000.

c) If the initial population is 5500, the limiting population is 5000, and the equilibrium solutions are P = 0 and P = 5000.

(a) To determine when the population is increasing or decreasing, we can look at the sign of the derivative dP/dt. Using the given differential equation, we can write:

dP/dt = 1.2P (1 - P/5000)

The expression 1.2P is always positive, so the sign of dP/dt is determined by the factor (1 - P/5000). When P is less than 5000, (1 - P/5000) is positive, and the population is increasing. When P is greater than 5000, (1 - P/5000) is negative, and the population is decreasing.

(b) If the initial population is 5500, we can find the limiting population by solving for the equilibrium solution. The equilibrium solution is obtained by setting dP/dt = 0:

1.2P (1 - P/5000) = 0

This equation has two solutions: P = 0 and P = 5000. However, since the initial population is 5500, the population cannot reach 0. Therefore, the limiting population is 5000.

(c) The equilibrium solutions are the values of P where dP/dt = 0. We found these solutions in part (b): P = 0 and P = 5000. When P = 0, the population is extinct, and when P = 5000, the population is at its carrying capacity. These are the only two stable equilibrium solutions for this differential equation.

In conclusion, the given differential equation models a population that increases when P is less than 5000 and decreases when P is greater than 5000.

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Answer:

810

Step-by-step explanation:

SP = 729, LOSS = 10.1

\(loss \: = \frac{(cp - sp)}{cp} \times 100 \\ \\ 10 = ( \frac{cp - 729}{cp} ) \times 100\)

10 CP = CP x 100 - 729 x 100

729 x 100 = 90 CP

\(cp = \frac{729 \times 100}{90} = 810 \)

Cost Price,

$810

Answer:

the length of the gym will be 80 feet

Step-by-step explanation:

(i) Assumptions of classical linear regression: linearity, independence, homoscedasticity, no perfect multicollinearity, zero conditional mean, and normality. Violation: perfect multicollinearity between X2, X3, and X4.

(ii) Omitted variable bias occurs when X4 is omitted from the model, leading to a biased estimate of β2 compared to α2 if X2 and X4 are correlated.

In the given model, the assumption of no perfect multicollinearity is violated when the regressors X2, X3, and X4 are defined as the log of per capita GDP, the log of the square of per capita GDP, and the proportion of population with graduation, respectively. X3 is a function of X2, and X4 may be correlated with both X2 and X3. This violates the assumption that the independent variables are not perfectly correlated with each other.

Omitted variable bias in β2 compared to α2 occurs when X4 is omitted from the model. This bias arises because X4 is a relevant explanatory variable that affects the dependent variable (Y), and its omission leads to an incomplete model. The bias in β2 arises from the correlation between X2 and X4. If X2 and X4 are not correlated, β2 will equal α2, and there will be no omitted variable bias. However, if X2 and X4 are correlated, omitting X4 from the model will result in a biased estimate of β2 because the omitted variable (X4) affects both Y and X2, leading to a bias in the estimation of the relationship between Y and X2.

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Answer:

  (x, y) = (1, 4)

Step-by-step explanation:

You want the solution to the equation (x²-2x+1)⁷⁷ +(3x-2y+5)⁸⁸ = 0​.

The first term can be rewritten as ...

  \((x^2-2x+1)^{77}=((x-1)^2)^{77}=(x-1)^{154}\)

This means both of the terms are being raised to even powers. Any non-zero value of the base expression will result in a positive value for the term. That is, each term is non-negative.

The sum of two non-negative terms will be zero if and only if each of the terms individually is zero. That means the equation resolves to two equations:

The solution to the first equation is x=1. Using this value in the second equation, it becomes ...

  3 -2y +5 = 0

  8 = 2y . . . . . . . . add 2y

  4 = y . . . . . . . divide by 2

The values of x and y that will make the equation true are ...

  (x, y) = (1, 4)

Answer:

p/2

Step-by-step explanation:

Written as a fraction, p/2 is the same as p divided by 2.

Answer:

The circumference is 56.55

Answer: C≈56.55in

Step-by-step explanation

Using the formulas

C=2πr

d=2r

Solving forC

C=πd=π·18≈56.54867inC=2πr

d=2r

Solving forC

C=πd=π·18≈56.54867in