Evaluate the expression shown.
18 ÷ (1/2 - 1/3)
The value of the expression is....

Answer:

x = -1/3 and x = 3

Step-by-step explanation:

I'm not sure, but I think you mean 3x^2 - 8x - 3 = 0

In that case:

1. Add 3 on both sides

3x^2 - 8x -3 + 3  = 3 -> 3x^2 - 8x  = 3

2. Divide both sides by 3

x^2 - 8/3x  = 1

3. Add ((8/3)/2)^2 to both sides

x^2 - 8/3x + ((8/3)/2)^2 = 1 + ((8/3)/2)^2

4. Simplify

x^2 - 8/3x + (4/3)^2 = 1 + (4/3)^2

x^2 - 8/3x + 16/9 = 1 + 16/9

5. Rewrite x^2 - 8/3x + 16/9 = 1 + 16/9  as a perfect square

and simplify 1 + 16/9

(x - 4/3)^2 = 25/9

6. Find the square root of both sides

\(\sqrt{ (x -4/3)^2} = \sqrt{25/9}\)

7. Simplify

(x - 4/3) = ±5/3

8. Rewrite the equation as two seperate equations

(x - 4/3) = ±5/3 ->

a. (x - 4/3) = 5/3

b. (x - 4/3) = -5/3

9. Solve for x by isolating the variable (add 4/3 to both sides)

a. x = 5/3 + 4/3

b. x = - 5/3 + 4/3

10. Simplify

a. x = 9/3 -> x = 3

b. x = -1/3

Answer:

C) the length of DG and JL

Answer:

25

Step-by-step explanation:

five x three is 15 and 2 times 5 is 10 add them together to get the total change.

a) The customs duty on the car would be $1,350,000.

b) The imported price of the bus would be $858,000.

(a) To calculate the customs duty on a car with an imported price of $3,000,000, we can multiply the imported price by the duty rate of 45%:

Customs duty = $3,000,000 * 0.45 = $1,350,000.

(b) To calculate the imported price of a bus if the amount paid, including customs duty, is $1,560,000, we need to determine the portion of the total amount that represents the customs duty. Since the customs duty is 45% of the imported price, we can set up the following equation:

Customs duty = $1,560,000 * 0.45.

Solving for the customs duty:

Customs duty = $702,000.

Now, we can subtract the customs duty from the total amount to find the imported price:

Imported price = $1,560,000 - $702,000 = $858,000.

In summary, the customs duty on a car with an imported price of $3,000,000 would be $1,350,000. On the other hand, if the amount paid for a bus, including customs duty, is $1,560,000, the imported price of the bus would be $858,000.

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Answer:

14= 1, 2, 7, 14

6= 1, 2, 3, 6

Answer:

It is a good idea to convert the times into internation time

thus, 5:08 becomes 17 08

Substraction:

17 08 - 10 15

= 16 68 - 10 15 ( I took one hour from 17 and added 60 minutes to 08)

= 6 53

he worked 6 hr 53 mins

Answer:

e - 50°

f - 65°

g - 115°

Step-by-step explanation:

Both triangles are 180°

So basically just add 50+65 which gives you 115 and that is 'g' cause that is the last missing piece of the left triangle.

Answer:

p = -2/67

Step-by-step explanation:

We divide 67 on both sides.

-2 / 67 = -2/67

67p / 67 = p

We got p = -2/67

Hope this helps.

Answer:

$122.85

Step-by-step explanation:

65/100 x 189 = $122.85

sum of angles = 10800

measurement of a single angle= 1350

Therefore,

No. of sides = sum of angles / single angle

No of sides = 10800 / 1350

No of sides = 8

Answer:

8 sides.

Step-by-step explanation:

If the sum of the angles is 10,800 degrees, and each angle is 1,350 degrees, the deck will have the number of sides of the sum of the angle measurements divided by each angle's measurements.

10,800 / 1,350 = 1,080 / 135 = 8 sides.

Hope this helps!

Answer:

m<wzx = 71

Step-by-step explanation:

Assuming these are interior angles of a triangle.

The sum of all three interior angles of a triangle is always 180 degrees, therefore:

m<xyz + m<wxz + m<wzx = 180

Substitute our values:

58 + 51 + m<wzx = 180

m<wzx = 180 - 58 - 51

m<wzx = 71

Answer:

A ribeye steak dinner costs $32.23 and a grilled salmon dinner costs $14.04.

Step-by-step explanation:

Let's use variables to represent the cost of each dinner. Let's say that the cost of a ribeye steak dinner is "r" and the cost of a grilled salmon dinner is "s".

From the first day's sales, we know:

From the second day's sales, we know:

We now have two equations with two variables, which we can solve using elimination or substitution.

Let's use elimination. If we multiply the first equation by 15 and the second equation by 11, we can eliminate the "r" variable:

Subtracting the second equation from the first, we get:

Dividing both sides by 133, we get:

So a grilled salmon dinner costs $14.04.

We can substitute this value back into one of the original equations to solve for "r". Let's use the first equation:

So a ribeye steak dinner costs $32.23.

Therefore, a ribeye steak dinner costs $32.23 and a grilled salmon dinner costs $14.04.

Answer:

37

Step-by-step explanation:

Answer: If I did it correctly it should be 150.8

Step-by-step explanation:

The formula for the volume of a cylinder is height x π x (diameter / 2)2, where (diameter / 2) is the radius of the base (d = 2 x r), so another way to write it is height x π x radius2.

Hope this helps!

I have attached an image showing the diagram.

Answer:

-2 m/s²

Step-by-step explanation:

From the diagram, in decelerating from between 60 to 70 seconds, it moved from a velocity of 20 m/s to 0 m/s.

Thus, using Newton's first equation of motion, we can find the deceleration;

a = (v - u)/t

Time (t) = 70 - 60 = 10 s

Final velocity (v) = 0 m/s

Initial velocity (u) = 20 m/s

Thus;

a = (0 - 20)/10

a = -20/10

a = -2 m/s²

Answer:

Step-by-step explanation:

hope it help you

follow me please

Answer:

Step-by-step explanation:

563 people / 15 classes= 37 8/15. They should offer 38 classes.

2146 questions in 45 weeks.

2146/45= 47 31/45. round to 48 questions a week.

I would choose the first one. Even though the 2000 is an underestimate, the 50 weeks is overestimate , when divided it comes out to 50 questions a week which is closer to the 48 it actually is. I'd rather write too many questions then not enough.

Answer:

f(x)

Step-by-step explanation:

Because f(x) = 4x + 5

Answer:

f(x)

Step-by-step explanation:

g(x) intercept Is shown to be 2

f(x) if u sub 0 into x to find the y intercept gives you 5

h(x) I you sub 0 into the equation in place of x to find the y intercept it gives you -1.84

and if you look at all ghe y intersect values f(x) is the greatest

Answer: x ≤ − 3/2

how i got the answer : I used something but it wont let me say ;-; hope it helps!

With regards to the function model then the true statement as per first and second derivatives is: (C) dw/dt = 1/100 W  (70 - W),

When, W = 10 then dw/dt = 6

When W = 35 then d²w/d²t = 0

where the point influx occurs, the weight of the carrying capacity is half

Therefore, 35 = a/2

Then the carrying capacity (a) = 35 x 2

a = 70

A function's sensitivity to change with respect to a change in its argument is measured by the derivative of a function of a real variable. Calculus's core tool is the derivative. It is a crucial idea that is incredibly helpful in a variety of contexts: in daily life, the derivative can inform you how fast you are driving or assist you in predicting stock market changes; in machine learning, derivatives are crucial for function optimization.

Therefore, with regards to the function model then the true statement as per first and second derivatives is: (C) dw/dt = 1/100 W  (70 - W), because the carrying capacity is 70 and the rate of change of the weight is 6 grams per hour when the weight is 10 grams.

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Answer:

Three

Step-by-step explanation:

Assuming the grade score from 70 to 100 is A; for grade score from 60 to 69 is B and grade score from 50 to 59 is C. Well it is certain there are three peaks in the distribution of scores

After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:

Amount remaining = Initial amount × (1/2)^(number of half-lives)

In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.

So, the equation becomes:

Amount remaining = Initial amount × (1/2)^4

Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.

Simplifying the equation:

Amount remaining = Initial amount × (1/16)

Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

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Answer:

2,4,5

Step-by-step explanation:

The functions that have negative values are csc (5π/4), csc (340°) and sec(120°).

Trigonometric functions are defined as the functions defined as the ratio of the sides of a right angled triangle.

They are also called circular functions or periodic functions.

There are six trigonometric functions :

Sine, cosine, tangent, cosecant, secant and cotangent.

All the functions are positive in the first quadrant.

Only sine and cosecant are positive in the second quadrant.

Only tangent and cotangent are positive in the third quadrant.

Only cosine and secant are positive in the fourth quadrant.

cot (3.14) = cot (π)

The value of π in degrees is 180°.

tan of 180 degrees is 0.

Cot is the inverse of tan. So the cot of 180 is undefined.

csc (5 3.14/4) = csc (5π/4) = csc (225°)

It is between 180° and 270°.

It is in the third quadrant.

So csc of 225 degrees is negative.

-65° is in the forth quadrant.

sec(-65) is positive.

340 degrees is also in the fourth quadrant since it is in between 270 and 360.

So csc (340°) is negative.

120° is in the second quadrant.

sec(120°) is negative.

Hence the negative values are for csc (5π/4), csc (340°) and sec(120°).

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The true expression about the account is D.) It is the sum of the initial amount and the additional amount after d days.

The answer is D because it represents the sum of the initial amount and the additional amount after d days. The initial amount is $10 and Owen adds $0.50 to the account each day for a number of days, represented by d.

By subtracting 1 from d, the expression ensures that on the first day (when d=1), only the initial $10 is counted. On each subsequent day, the additional amount of $0.50 is added to the total. Therefore, the expression 10+0.5(d−1) gives the amount of money in Owen's account after d days.

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Answer:

B

Step-by-step explanation:

Area of a triangle formula: 1/2bh

1/2*7*11 = 38.5 sq units

The value of area of a triangle with a base of 7 units and a height of 11 units is,

⇒ Area of triangle = 38.5 units²

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Base of triangle = 7 units

Height of triangle = 11 units

We know that'

Area of triangle = 1/2 x Base x Height

Hence, We get;

The value of area of a triangle with a base of 7 units and a height of 11 units is,

⇒ Area of triangle = 1/2 x Base x Height

⇒ Area of triangle = 1/2 x 7 x 11

⇒ Area of triangle = 38.5 units²

Thus, The value of area of a triangle with a base of 7 units and a height of 11 units is,

⇒ Area of triangle = 38.5 units²

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Let f(x) = lnx and g(x) = log₂x. for all 0 < x < 1, f(x) < g(x): True.

In this scenario and exercise, we would determine the corresponding output value for the functions f(x) and g(x) under the given mathematical operation and independent variables.

When x = 1, the output value for f(x) based on the table of values is given by;

f(x) = lnx

f(1) = ln(1).

f(1) = 0.

When x = 2, the output value for f(x) based on the table of values is given by;

f(x) = lnx

f(2) = ln(2).

f(2) = 0.69314718

When x = 1, the output value for g(x) based on the table of values is given by;

g(x) = log₂x

g(1) = log₂(1)

g(1) = 0.

When x = 2, the output value for g(x) based on the table of values is given by;

g(x) = log₂x

g(2) = log₂(2)

g(2) = 1.

In this context, we can logically deduce that the function f(x) is less than function g(x) for all 0 < x < 1.

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Answer:

3(4+3x)

Step-by-step explanation:

See Image below.