what is the solution for x in the equation 5/3 x +4=2/3 x

The graph of 3x-2y≤6 is the third graph, for 3x-2y<6 is the first graph, for 3x-2y>6 is the fourth graph and for 3x-2y≥6 is the second graph. The solution has been obtained using concept of linear inequality.

What is linear inequality?

A linear inequality is one that would produce a linear equation if the equals relation were used instead of the inequality. When multiplying or dividing both sides by a negative number in order to solve the inequality, the direction of the inequality is reversed. The entire set of solutions to an inequality is known as the solution set.

We are given for graphs, of which two graphs are dotted and two are simple straight line graphs.

The dotted graphs are drawn for the inequalities having < or >

Whereas the simple straight line graphs are drawn for the inequalities having ≤ or ≥.

Now, to notice the shaded pattern, we will see whether the equations are true for (0,0) or not

1. 3x-2y≤6

⇒ 0≤6

So, the equation is true for the point.

Hence, the third graph represents this equation.

2. 3x-2y<6

⇒ 0<6

So, the equation is true for the point.

Hence, the first graph represents this equation.

3. 3x-2y>6

⇒ 0>6

So, the equation is false for the point.

Hence, the fourth graph represents this equation.

4. 3x-2y≥6

⇒ 0≥6

So, the equation is false for the point.

Hence, the second graph represents this equation.

Hence, the graphs are matched with the inequalities.

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Since, there are multiple questions so, the question answered above is attached below.

Answer:

B. f(x) = 176x + 10,580

Step-by-step explanation:

The y-intercept is about 10,580.

The slope is about 176

You can get the slope by subtracting 10925-10600 and then dividing the answer by 2

The amount included in E's employment income for tax purposes in the current year is $7,000.

To determine the amount included in E's employment income for tax purposes in the current year, we need to calculate the taxable benefit resulting from the interest-free or low-interest loan provided by her employer.

First, let's calculate the interest expense for each quarter of the year:

1st quarter (3 months) at 4% interest rate:

Interest expense = $200,000 * 0.04 * (3/12) = $2,000

2nd to 4th quarters (9 months) at 5% interest rate:

Interest expense = $200,000 * 0.05 * (9/12) = $7,500

Next, we need to determine the taxable benefit using the prescribed rates set by the tax authorities.

For an interest-free or low-interest loan, the taxable benefit is calculated as the difference between the interest that would have been paid at the prescribed rates and the actual interest paid.

1st quarter taxable benefit:

Prescribed rate: 1%

Taxable benefit = $2,000 - ($200,000 * 0.01 * (3/12)) = $1,000

2nd to 4th quarters taxable benefit:

Prescribed rate: 1%

Taxable benefit = $7,500 - ($200,000 * 0.01 * (9/12)) = $6,000

Finally, we sum up the taxable benefits for each quarter:

Total taxable benefit = $1,000 + $6,000 = $7,000

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Yes, Chris has enough money to buy 30 pens and 30 folders.

Given:

So, the cost of 30 pens will be:

Similarly, the cost of 30 folders will be:

Cost of 30 pens and 30 folders = £22.5 + £34.8 = £57.3

Therefore, yes Chris has enough money to buy 30 pens and 30 folders.

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Answer:

-4

Step-by-step explanation:

the function simplified is -4 i have no way to explain just trust

Answer:

4.5

Step-by-step explanation:

Step-by-step explanation:

x = -2

y = -3

= x² - y²

= (-2)² - (-3)²

= 4 - 9

= -5

The Gibbs-Duhem equation relates the activity coefficients of the individual components in a mixture. It states that the activity coefficients are not independent of each other but are related by a differential equation.

In the case of a binary mixture (chemical A and chemical B), the Gibbs-Duhem relation can be written as:

x1 * (∂x1/∂lnγ1)T,P = x2 * (∂x2/∂lnγ2)T,P

Here, x1 and x2 represent the mole fractions of chemical A and chemical B, respectively. The activity coefficients for chemical A and chemical B are denoted as γ1 and γ2, respectively.

The equation shows that the change in mole fraction of one component (x1) with respect to the change in the logarithm of its activity coefficient (lnγ1) is proportional to the change in mole fraction of the other component (x2) with respect to the change in the logarithm of its activity coefficient (lnγ2).

This relationship helps us understand how changes in the activity coefficients of the components affect each other in a binary mixture. By studying this relationship, we can gain insights into the behavior of the mixture and make predictions about its properties.

For example, let's consider a mixture of ethanol (chemical A) and water (chemical B). If the activity coefficient of ethanol (γ1) decreases, the Gibbs-Duhem equation tells us that the mole fraction of ethanol (x1) will also decrease. Similarly, if the activity coefficient of water (γ2) increases, the mole fraction of water (x2) will increase.

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Answer:

the equal side are vu and st which equal 4 units and vs equal 5.5 units im pretty sure by looking at it

Step-by-step explanation:

if its wrong im sorry

Answer:

ST: 4

TU: 5.1

VU: 4

SV: 5.1

Explanation:

You can use the Pythagorean theorem to determine the length of the slanted sides, and you only need to find the length of two since it is symmetrical,

Answer:

8 days

Step-by-step explanation:

Every day, 1.26 stock is returned. You want to find the number of days until it reaches 10.08, so create an equation. x represents days.

1.26 * x = 10.08

x = 8

Answer: A ratio is a comparison of two or more values. To compare the ratios of orange juice to yogurt, we want to ensure that the proportion of orange juice to yogurt is the same in each ratio.

Option A is 40:30. To compare this ratio to the original ratio, we can convert the amounts in cups to tablespoons. 40 cups is equal to 320 tablespoons and 30 tablespoons of yogurt. The proportion of orange juice to yogurt is not the same as the original ratio since 320 is not equivalent to 3.

Option B is 19:9. To compare this ratio, we convert the amount in cups to tablespoons. 19 cups is equal to 152 tablespoons of orange juice and 9 tablespoons of yogurt. The proportion of orange juice to yogurt is not the same as the original ratio since 4 cups of orange juice is not equal to 19 cups.

Option C is 15:20. To compare this ratio, we convert the amount in cups to tablespoons. 15 cups is equal to 120 tablespoons of orange juice and 20 tablespoons of yogurt. The proportion of orange juice to yogurt is not the same as the original ratio since 4 cups of orange juice is not equal to 15 cups.

Option D is 8:6. To compare this ratio, we convert the amount in cups to tablespoons. 8 cups is equal to 64

Step-by-step explanation:

I think the answer is the second one?

Answer:

No.

Step-by-step explanation:

This is not a right triangle. Use the Pythagorean Theorem, \(a^{2} + b^{2}=c^{2} \\\), but write it as \(c^{2}= a^{2}+b^{2}\). The hypotenuse would be 17 feet, so you can insert 17 as \(c^{2}\). \(a\) and \(b\) could be 6 or 16. It can be written either way. The simplified equation would be:

\(c^{2}=a^{2} +b^{2} \\17^{2} = 6^{2} + 16^{2} \\17^{2} = 36+ 256\\17^{2}= 292\\289\neq 292\)

This isn't a right triangle.

I hope this helped :)

There are 3 even numbers out of 6 total numbers.

Rolling an even number would be 3/6 = 1/2

She would expect half the rolls should be even.

144/2 = 72

The answer is 72 times.

The requried water present in Juan's body weight is 57.13 kilograms or 117.13 pounds.

To find out how much water is in Juan's body weight, we need to multiply his body weight by the percentage of his weight that is water:

Water weight = Body weight × Percentage of body weight that is water

First, we need to convert Juan's weight from pounds to a more suitable unit for the calculation, such as kilograms:

185 pounds = 84.09 kilograms

Calculate the water weight:

Water weight = 84.09 kg x 68/100 = 57.13 kg

Therefore, the water in Juan's body weight is 57.13 kilograms or 117.13 pounds.

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The given sequence converges.

The limit of the given sequence is :  1/4.

The given sequence is an = tan(5n)/(3 + 20n).
To determine if the sequence converges or diverges, we can use the limit comparison test.
We know that lim n→∞ tan(5n) = dne, since the tangent function oscillates between -∞ and +∞ as n gets larger.
Thus, we need to find another sequence bn that is always positive and converges/diverges.

Let's try bn = 1/(20n).
Then, we have lim n→∞ (tan(5n)/(3 + 20n)) / (1/(20n))
= lim n→∞ (tan(5n) * 20n) / (3 + 20n)
= lim n→∞ (tan(5n) / 5n) * (5 * 20n) / (3 + 20n)
= 5 lim n→∞ (tan(5n) / 5n) * (20n / (3 + 20n))

Now, we know that lim n→∞ (tan(5n) / 5n) = 1, by the squeeze theorem.

And we also have lim n→∞ (20n / (3 + 20n)) = 20/20 = 1, by dividing both numerator and denominator by n.

Therefore, the limit comparison test yields:
lim n→∞ (tan(5n)/(3 + 20n)) / (1/(20n)) = 5

Since the limit comparison test shows that the given sequence is similar to a convergent sequence, we can conclude that the given sequence converges.

To find the limit, we can use L'Hopital's rule to evaluate the limit of the numerator and denominator separately as n approaches infinity:
lim n→∞ tan(5n)/(3 + 20n) = lim n→∞ (5sec^2(5n))/(20) = lim n→∞ (1/4)sec^2(5n) = 1/4.

Therefore, the limit of the given sequence is 1/4.

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The solutions of Ax=0 in parametric vector​ form:

\(x_2\left[\begin{array}{c}-3&1&0&0\\\\\end{array}\right] +x_3\left[\begin{array}{c}0&0&1&0\\\\\end{array}\right] +x_4\left[\begin{array}{c}4&0&0&1\\\\\end{array}\right]\)

we have a matrix where A is the row equivalent to that matrix:

\(\left[\begin{array}{cccc}1&3&0&-4\\2&6&0&-8\\\end{array}\right]\)

The given matrix can be written in an Augmented form as:

\(\left[\begin{array}{ccccc}1&3&0&-4&0\\2&6&0&-8&0\\\end{array}\right]\)

Row Reduced Echelon Form can be obtained using the following steps.

Interchanging the rows R₁ and R₂

.\(\left[\begin{array}{ccccc}2&6&0&-8&0\\1&3&0&-4&0\\\end{array}\right]\)

Applying the operation R₂-->2R₂-R₁, to make the second.

\(\left[\begin{array}{ccccc}2&6&0&-8&0\\1&3&0&-4&0\\\end{array}\right]\)  R₂-->2R₂-R₁,

\(\left[\begin{array}{ccccc}2&6&0&-8&0\\0&0&0&0&0\\\end{array}\right]\)

Dividing the first row by 2 to generate 1 at the

\(\left[\begin{array}{ccccc}2&6&0&-8&0\\0&0&0&0&0\\\end{array}\right]\)  R₁--->1/2R₁

\(\left[\begin{array}{ccccc}1&3&0&-4&0\\0&0&0&0&0\\\end{array}\right]\)

From here the following equation can be deducted:

x₁+3x₂-4x₄=0

Making the subject of the equation:

x₁=-3x₂+4x₄

Hence, the Ax=0 parametric vector form’s solutions can be written as:

\(X=\left[\begin{array}{c}-3x_2+4x_4&x_2&x_3&x_4\\\\\end{array}\right] \\\\\\=\left[\begin{array}{c}-3x_1&x_2&0&0\\\\\end{array}\right] +\left[\begin{array}{c}0&0&x_3&0\\\\\end{array}\right] +\left[\begin{array}{c}4x_4&0&0&x_4\\\\\end{array}\right] \\\\\\ =x_2\left[\begin{array}{c}-3&1&0&0\\\\\end{array}\right] +x_3\left[\begin{array}{c}0&0&1&0\\\\\end{array}\right] +x_4\left[\begin{array}{c}4&0&0&1\\\\\end{array}\right]\)

Numerical Result:

\(x_2\left[\begin{array}{c}-3&1&0&0\\\\\end{array}\right] +x_3\left[\begin{array}{c}0&0&1&0\\\\\end{array}\right] +x_4\left[\begin{array}{c}4&0&0&1\\\\\end{array}\right]\)

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Answer:

ç

Step-by-step explanation:

The length of the chord located 0.7 cm from the centre of a circular ring with a 2.5 cm radius is approximately 3.5 cm.

To calculate the length of the chord, we can use the following formula:

Chord Length = 2 x √(r^2 - d^2)

Where r is the radius of the circular ring and d is the distance between the chord and the centre of the circle.

In this case, r = 2.5 cm and d = 0.7 cm. Plugging these values into the formula, we get:

Chord Length = 2 x √(2.5^2 - 0.7^2) ≈ 3.5 cm (rounded to the nearest tenth)

Therefore, the length of the chord is approximately 3.5 cm. This hidden watermark technique is a simple but effective security measure that can help prevent counterfeiting or tampering with important documents. By incorporating a unique and difficult-to-replicate watermark, the jewellery company can protect its brand identity and ensure the authenticity of its official documents.

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Answer:

72

Step-by-step explanation:

Answer:  D. 72°

Step-by-step explanation:

Because a triangle equals 180 we take the given info in order to find x

\(85+23+x=180\\108+x=180\)

\(108+x=180\\-108=-108\\x=72\)

The required white effective interest rate is 0.71% more than his nominal interest rate.

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Here,

White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent

So

Difference in interest = 14.33%-13.62%
                                    =0.71%

Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.

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Answer:

Step-by-step explanation:

here you go!!

Answer:

C. g(f(x)) = \((x - 5)^{2}\)

Step-by-step explanation:

f(x) = x - 5

g(x) = \(x^{2}\)

g(f(x)) = \((x - 5)^{2}\)

Answer:

Step-by-step explanation:

far away

Answer:3 inches

Step-by-step explanation:

The height of the water is increasing at the rate of 3 meters per minute.

We know that a cylindrical tank with radius r and height h has a volume of V = πr²h.

The rate at which the water is being filled in the tank is given as dV/dt = 2πr²( dh/dt).

On rearranging the above equation we get dh/dt = (dV/dt) ÷ (2πr²)

Given: Radius of the cylindrical tank, r = 3 m

Rate at which the water is being filled,

dV/dt = 54π cubic meters per minute.

we

Height of the cylindrical tank, h = ?

We need to find out how fast is the height of the water increasing.

This can be calculated using the formula.

dh/dt = (dV/dt) ÷ (2πr²)

Substitute the values of dV/dt  and r in the above formula,

we get,

dh/dt = (54π) ÷ (2π x 3²)

dh/dt = 54/18

dh/dt = 3 m/min

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Answer:

B- Second Quadrant

Step-by-step explanation:

First Quadrant- +,+

Second Quadrant- -,+

Thrid Quadrant- -,-

Fourth Quadrant- +,-

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I believe your answer is:  

Quadrant 2

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Here’s why:  

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Hope this helps you. I apologize if it’s incorrect.  

Answer:

34.65 mi²

Step-by-step explanation:

Area of parallelogramam = b · h

b = 6.3 mi

h = 5.5 mi

Let's solve

6.3 · 5.5 = 34.65 mi²

So, the area of the shape is 34.65 mi²

Answer:

Explanation:

Circumference: 18.84

π: 3.14

18.84 ÷ 3.14