3x-4/5=-1/2 what is the value of x ? ​

Dayna erases the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11, and leaves only the integer 12 on the chalkboard, by the concept of multiplicative inverse and by using the extended Euclidean algorithm.

The integers from 1 through 6, as well as their multiplicative inverse \($\mod{13}$\), have been erased from the integers 1 through 12. We need to find the only integer that Dayna did not erase. We can find the multiplicative inverse of an integer a modulo 13 by using the extended Euclidean algorithm.

The integers from 1 through 6 are 1, 2, 3, 4, 5, and 6. We need to find their multiplicative inverses modulo 13.

The multiplicative inverse of 1 modulo 13 is 1, since

\($1 \times 1 \equiv 1 \pmod{13}$\).

The multiplicative inverse of 2 modulo 13 is 7, since

\($2 \times 7 \equiv 1 \pmod{13}$\).

The multiplicative inverse of 3 modulo 13 is 9, since

\($3 \times 9 \equiv 1 \pmod{13}$\).

The multiplicative inverse of 4 modulo 13 is 10, since

\($4 \times 10 \equiv 1 \pmod{13}$\).

The multiplicative inverse of 5 modulo 13 is 8, since

\($5 \times 8 \equiv 1 \pmod{13}$\).

The multiplicative inverse of 6 modulo 13 is 11, since

\($6 \times 11 \equiv 1 \pmod{13}$\).

Therefore, the only integer that Dayna does not erase is 12.

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Answer:

To find the last term, divide the coefficient of the middle term by 2 then raise to the power of 2,that will be :

\(( \frac{ - 12}{2} )^{2} = { - 6}^{2} = 36 \)

Answer:

add 36

Step-by-step explanation:

Step-by-step explanation:

domain : the interval or set of all valid x-values.

range : the interval or set of all valid y-values (function result values).

A is correct

theoretically all real numbers are valid as x. but for this application of the function only non-negative integer values make sense (e.g. half a cycle does not make any sense).

C is correct

via A we are allowing all real numbers to be valid input values, so, we have to allow also all real numbers to be valid output (function result) values.

D is correct

the y-intercept means the y-value, when the function curve intersects the y-axis.

this is only possible, when x = 0.

5⁰ = 1

as any x⁰ = 1

F is correct

the bigger x, the bigger 5^x.

and the smaller x, the closer y, the function result, gets to 0. particularly, when we allow negative input values (as we said in A).

Answer:

Step-by-step explanation:

Addition property is used in an equation when the same value is added to both sides of the equation to simplify such equation.

Given the equation 2y-40=-18 to simplify the equation further we need to first add 40 to both sides of the equation thereby justifying the addition property as shown;

2y-40 + 40 =-18+40

2y = 40-18

2y = 22

We will also apply the division property here. Division property is used when both sides of an equation is divided by a number without affecting the equality rule.

Dividing the resulting equation by 2:

2y/2 = 22/2

y = 11

Hence the justification for the equation 2y-40=-18 are both adition and division property.

We can start by simplifying the denominator by factoring out x from the square root. That gives us: ∫18dx / (2x + x√x) = ∫18dx / (x(2 + √x)).Now, we can use substitution by letting u = 2 + √x. Then, du/dx = 1/(2√x), or √x = 1/(2u) - 1/4. Also, dx = 4u - 4u^2 du.

To evaluate the integral ∫18dx / 2x+x√x, we first notice that the denominator can be simplified by factoring out x√x. Therefore, we have:

∫18dx / 2x+x√x = ∫18dx / x(2+√x)

Next, we can use a substitution u = 2+√x and du/dx = 1/2√x to transform the integral:

∫18dx / x(2+√x) = ∫du / (u-2)^2

Using partial fraction decomposition, we can rewrite the integrand as:

∫du / (u-2)^2 = ∫(1/(u-2) - 1/(u-2)^2) du

Integrating each term separately, we obtain:

∫18dx / 2x+x√x = ln|u-2| + 1/(u-2) + C

Substituting back u = 2+√x, we have:

∫18dx / 2x+x√x = ln|√x+2| + 1/(2+√x) + C

Therefore, the solution to the integral is ln|√x+2| + 1/(2+√x) + C.

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Since it is given that  ∠1 and ∠2 are supplementary angles, the value of x=26.

Given that ∠1 ​ and ∠2 are supplementary.

∠1=124°

∠2=(2x+4)°

We know that the sum of supplementary angles is 180°.

For, example if ∠A, ∠B ,∠C and ∠D are four angles of a quadrilateral, and ∠A and ∠D are supplementary. Then,

∠A + ∠D= 180°

Therefore,

             ∠1 + ∠2 = 180°

Substituting the values given, we have:

                 124° + (2x + 4)° = 180°

Simplifying, we have:

                      2x + 128° = 180°

2x = 180° - 128°

2x = 52°

x = 52°/2

x = 26

Hence, the value of x is 26. Therefore, the correct answer is option B.

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Answer:

18%

Step-by-step explanation:

If 50 Students took a survey for Formal Dance theme..

32% voted for Winter Wonder Land, 26% voted for Under The Sea, 10% voted for Starry Night, 14% voted for Red Carpet, and Candy Land ??%

What I did was add all the percentages:

32 + 26 = 58. 58 + 10 = 68. 68 + 14 = 82. and I subtracted 100 by 82 and got 18.

Number line with closed circle on 15 and shading to the right. That's because 32 - 17 = 15 and since you need at least 15 more dollars the circle would be closed and shading to the right since it's at least meaning 15 or more.

The answer is c i took the test a long time ago

Answer:

C. Number line graph with closed circle on 15 and shading to the right.

Step-by-step explanation:

i took the test

Answer:

12/24 and 3/4

Step-by-step explanation:

Answer:

12/24 and 3/4

Step-by-step explanation:

Reduce all fractions that are not already reduced.

A. 4/3 and 16/12

16/12 = 4/3

Proportional

B. 3/4 and 6/8

6/8 = 3/4

Proportional

C. 12/24 and 3/4

12/24 = 1/2

Not proportional

D. 6/9 and 2/3

6/9 = 2/3

Proportional

It is wrong. Because Verania has a comparative advantage in washing dishes, she should wash dishes, and Josimar should vacuum.

Having an absolute advantage in both things does not mean that Verania has a Comparative advantage in both as well.

They should find out which activity they both have a comparative advantage in and focus on that. The activity that costs the least opportunity cost is the one they have a comparative advantage.

Verania

Opportunity cost of vacuuming = 2 / 1 = 2 hours of washing dishes

Opportunity cost of washing = 1/2 = 0.5 hours of vacuuming

Josimar

The opportunity cost of vacuuming = 3/2 = 1.5 hours of washing dishes

Opportunity cost of washing = 2/3 = 0.66 hours of vacuuming

Verania has a comparative advantage in washing dishes while Josimar has a comparative advantage in vacuuming.

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Each entry in the table is the probability of the corresponding outcome (e.g. Upper C 1 and Upper R 1) occurring.

a. The completed contingency table is:

Upper C 1   Upper C 2   Total
Upper R 1      4           8          12
Upper R 2     10           8          18
Total              14          16          30

b. To find ​P(Upper C 1​), we add up the values in the Upper C 1 column and divide by the total number of observations:

​P(Upper C 1​) =\(\frac{(4 + 10)} { 30} = 0.47\)
To find ​P(Upper R 2​), we add up the values in the Upper R 2 row and divide by the total number of observations:

​P(Upper R 2​)\(= \frac{18} { 30} = 0.6\)

To find ​P(Upper C 1 ​& Upper R 2​), we look at the intersection of the Upper C 1 column and the Upper R 2 row, which is 10. We then divide by the total number of observations:

​P(Upper C 1 ​& Upper R 2​) = 10 / 30 = 0.33

c. The joint probability distribution is:

Upper C 1   Upper C 2   Total
Upper R 1    0.13       0.27      0.4
Upper R 2   0.33       0.27      0.6
Total            0.47       0.53      1.0

Each entry in the table is the probability of the corresponding outcome (e.g. Upper C 1 and Upper R 1) occurring.

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Answer:

Answer is A

Step-by-step explanation:

subtract 15 1/4 and 2 2/3

Answer:

28 square meters

Step-by-step explanation:

7 x 4= 28

28 square meters

Answer:

19.6375 mm^2

Step-by-step explanation:

Given data

Diameter = 5mm

Radius= 5/2= 2.5mm

The expression for the area

A=πr^2

Substitute

A=3.142*2.5^2

A=3.142*6.25

A=19.6375 mm^2

Answer:

Explanation:

Generally, the slope-intercept form of the equation of a line is given as;

where m = the slope of the line

b = y-intercept of the line

From the question, we're told that the required line will pass through the origin and (3, 2), so we can find our slope(m) of the line using the given coordinates x1 = 0, y1 = 0, x2 = 3, and y2 = 2;

So the slope(m) of the line is 2/3.

Since we're told that the line will pass through the origin, it means that the y-intercept (b) = 0.

Since the gragh will be shaded above the dashed line, it means that the inequality will have a greater than sign(>).

We're told that the line will be dashed, it means that the function have only the greater than sign(>) without the equal to sign(=).

Combining all the information above, the function for the line can be

Answer:

1) 60

3) 120

4) 60

Step-by-step explanation:

Angle 1 is supplementary to your known angle. Therefor, Angle 1 is 180 - 120

Angle 3 is supplementary to Angle 1 and equal to 120

Angle 4 is supplementary to Angle 3 and equal to angle 1.

Answer:

28.79 cm.

Step-by-step explanation:

The perimeter of a semicircle is equal to the sum of the diameter (which is twice the radius) and half of the circumference of the circle.

The diameter of the semicircle is 2 × 5.6cm = 11.2cm.

The circumference of a full circle with radius 5.6cm is 2π × 5.6cm = 11.2π cm.

Therefore, the circumference of the semicircle is 1/2 of the circumference of the full circle, which is 1/2 × 11.2π cm = 5.6π cm.

The perimeter of the semicircle is the sum of the diameter and the circumference, which is:

11.2cm + 5.6π cm ≈ 28.79cm (rounded to two decimal places)

Therefore, the perimeter of the semicircle is approximately 28.79 cm.

Answer:

pi ( 5.6 ) + 11.2 or approximately 28.79291 cm

Step-by-step explanation:

The outside of the semicircle or the perimeter is 1/2 of the circumference and the length that closes the circle is the diameter.

Perimeter = 1/2 C + d

                 = 1/2 *pi*d + d

The diameter is 2 times the radius.

                 = 1/2 ( pi) * (2r) + 2r

                  = pi r + 2 r

                   = pi ( 5.6 ) + 11.2

Approximating pi, we get approximately 28.79291

(a) The probability of ending up with two hits is approximately 0.1406.

(b) The probability of ending up with no hits is approximately 0.4219.

(c) The probability of ending up with exactly three hits is approximately 0.0156.

(d) The probability of ending up with at most one hit is approximately 0.8438.

To solve the given problem, we need to use the concept of binomial probability since each at-bat is independent and has the same probability of a hit. We'll use the batting average of 0.250 to calculate the probabilities.

The probability of a hit is given by the batting average, which is 0.250.

(a) To find the probability that she ends up with two hits:

Using the binomial probability formula, the probability of getting exactly two hits in three at-bats can be calculated as follows:

P(X = 2) = (3 choose 2) * \((0.250)^2 * (1 - 0.250)^(^3^ -^ 2^)\)

Calculating the values:

P(X = 2) = (3 choose 2) * \((0.250)^2 * (0.750)^1\)

P(X = 2) = 3 * 0.0625 * 0.750

P(X = 2) ≈ 0.1406

Therefore, the probability that she ends up with two hits is approximately 0.1406.

(b) To find the probability that she ends up with no hits:

Using the same binomial probability formula, the probability of getting no hits in three at-bats can be calculated as follows:

P(X = 0) = (3 choose 0) *\((0.250)^0 * (1 - 0.250)^(^3^ -^ 0^)\)

Calculating the values:

P(X = 0) = (3 choose 0) *\((0.250)^0 * (0.750)^3\)

P(X = 0) = 1 * 1 * 0.4219

P(X = 0) ≈ 0.4219

Therefore, the probability that she ends up with no hits is approximately 0.4219.

(c) To find the probability that she ends up with exactly three hits:

Using the same binomial probability formula, the probability of getting three hits in three at-bats can be calculated as follows:

P(X = 3) = (3 choose 3) \(* (0.250)^3 * (1 - 0.250)^(^3^ -^ 3^)\)

Calculating the values:

P(X = 3) = (3 choose 3) *\((0.250)^3 * (0.750)^0\)

P(X = 3) = 1 * 0.0156 * 1

P(X = 3) ≈ 0.0156

Therefore, the probability that she ends up with exactly three hits is approximately 0.0156.

(d) To find the probability that she ends up with at most one hit:

We can find this probability by calculating the sum of the probabilities of getting 0 hits and 1 hit.

P(X ≤ 1) = P(X = 0) + P(X = 1)

Substituting the calculated values:

P(X ≤ 1) ≈ 0.4219 + P(X = 1)

To calculate P(X = 1), we can use the binomial probability formula as before:

P(X = 1) = (3 choose 1) * \((0.250)^1 * (0.750)^(^3^-^1^)\)

Calculating the values:

P(X = 1) = (3 choose 1) * \((0.250)^1 * (0.750)^2\)

P(X = 1) = 3 * 0.250 * 0.5625

P(X = 1) ≈ 0.4219

Substituting back into the equation:

P(X ≤ 1)

≈ 0.4219 + 0.4219

P(X ≤ 1) ≈ 0.8438

Therefore, the probability that she ends up with at most one hit is approximately 0.8438.

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Answer:

156.25

Step-by-step explanation:

8x2 (2 years) = 16. 2500 / 16 = 156.25

Answer:

\(3.3*10^{-3}\)

Just like last time, you can convert them to their decimal forms, subtract, and convert back!

Hope this helps!

Brainliest please!

Answer:

3.3*10-3

Step-by-step explanation:

Answer:

Step-by-step explanation:

its the second one

u gotta add zero to the other side to isolate the y which would give you

y = \(\frac{2}{3}\)x - 6

I hope this helps :)

The  amounts, X answer is B) 0.32.

we can use the following steps:

1. We know that the claim amounts follow a Gamma distribution with mean 6 and variance 12. This means that the shape parameter of the Gamma distribution is α = (mean)^2 / variance = (6)^2 / 12 = 3.

2. We also know that the scale parameter of the Gamma distribution is β = variance / mean = 12 / 6 = 2.

3. To calculate Pr[x < 4], we can use the cumulative distribution function (CDF) of the Gamma distribution. The CDF of a Gamma distribution with shape parameter α and scale parameter β is:

F(x) = (1 / Γ(α)) * γ(α, x/β)

where Γ(α) is the Gamma function and γ(α, x/β) is the lower incomplete Gamma function.

4. Plugging in the values of α = 3, β = 2, and x = 4, we get:

F(4) = (1 / Γ(3)) * γ(3, 4/2) ≈ 0.684

5. Therefore, the probability of x being less than 4 is:

Pr[x < 4] = F(4) ≈ 0.684

6. However, we need to subtract this probability from 1 to get the probability of x being greater than or equal to 4:

Pr[x ≥ 4] = 1 - Pr[x < 4] ≈ 1 - 0.684 = 0.316

7. Finally, we can check which answer choice is closest to 0.316, which is B) 0.32.

So the answer is B) 0.32,

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Approximately 95% of the students spent between $407 and $547 on textbooks in a semester, based on the standard deviation rule and the given mean and standard deviation.

To estimate the range of money spent by students on textbooks in a semester using the standard deviation rule, we can utilize the concept of the empirical rule.

According to the empirical rule, in a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, approximately 95% falls within two standard deviations, and approximately 99.7% falls within three standard deviations.

Given that the mean is $477 and the standard deviation is $35, we can calculate the range for approximately 95% of the students.

One standard deviation from the mean is $477 ± $35, which gives us a range of $442 to $512.

Two standard deviations from the mean is $477 ± (2 × $35), which gives us a range of $407 to $547.

Therefore, Approximately 95% of the students spent between $407 and $547 on textbooks in a semester, based on the standard deviation rule and the given mean and standard deviation.

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To find the exact area of the surface z = 1 + 2x + 3y + 4y^2 over the region 1 ≤ x ≤ 6 and 0 ≤ y ≤ 1, we can use the concept of double integration.

The area can be obtained by evaluating the double integral of √(1 + (∂z/∂x)^2 + (∂z/∂y)^2) over the given region.

The first step is to find the partial derivatives of z with respect to x and y, which are ∂z/∂x = 2 and ∂z/∂y = 3 + 8y. Next, we square these derivatives and calculate their sum.

Now, we integrate the square root of the sum of squares of the derivatives over the given region. Evaluating this double integral will give us the exact area of the surface.

Additionally, to find the area of the surface approximated to four decimal places, we express the area as a single integral by integrating the square root expression over the region of the surface.

We determine the exact area of the surface by evaluating a double integral over the given region. To obtain an approximation, we express the area as a single integral and use a calculator to estimate the integral.

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Given data;

The given length of one leg is a=6 cm.

The given hypotenuse is c=10 cm.

The expression for the pythagoras theorem is,

Substitute the given values in the above expr

Answer:

the answer would just be 8

Step-by-step explanation:

5 +3 = 8 and it would be a deep green

Answer:

$16 :)

Step-by-step explanation:

Answer:

2:3

Step-by-step explanation:

16/24=1/3

4/6 is the ratio of seventh graders to total students.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that there  are 8 sixth graders and 16 seventh graders in a class.

The total number of students in class are sum of sixth and seventh

Sixth graders=8

Seventh graders=16

16+8=24

Total students are 24.

the ratio of seventh graders to total students is 16:24

16/24

16 and 24 are multiples of 4

4/6 is the ratio of seventh graders to total students

Hence, 4/6 is the ratio of seventh graders to total students.

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