Evaluate f(1/2) if f(x)=-3x^3 + 2x^2. Enter fractions using “/“

f(1/2)=

Answer:

first option

Step-by-step explanation:

The equation representing a proportional relationship is

y = kx ← k is the constant of proportion

Here k = 0.7, thus

y = 0.7x ← is the required equation

Given

\(\frac{y}{x}\) = \(\frac{7}{10}\) ( cross- multiply )

10y = 7x ( divide both sides by 10 )

y = \(\frac{7}{10}\) x = 0.7 x ← the required equation

Answer:

8x-99

Step-by-step explanation:

18+73-2+16+73=89

8x-10 - 89 = 8x-99

Answer:

-169

Step-by-step explanation:

Answer:

rational

number

Step-by-step explanation:

because any decimal number that repeats forever can be written as a fraction and any number that can be written as a fraction is rational

a number is any value that has no variables

a whole number is a positive value that is not a decimal

an integer is also any whole value

The inequality that represents all the solutions of -2(3x + 6) ≥ 4(x + 7) is x ≤ -4

From the question, we have the following parameters that can be used in our computation:

-2(3x + 6) ≥ 4(x + 7)

Divide both sides of the inequality by -2

So, we have the following representation

3x + 6 ≤ -2(x + 7)

Open the brackets

This gives

3x + 6 ≤ -2x - 14

Add 2x to both sides of the inequality

So, we have the following representations

5x + 6 ≤ -14

Subtract 6 from both sides of the inequality

So, we have the following representations

5x ≤ -20

Divide both side of the inequality

x ≤ -4

Hence, the solution is x ≤ -4

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Answer:

false

true

true

false

Step-by-step explanation:

Answer: 140%

Step-by-step explanation:

Answer:

140%

Step-by-step explanation:

BRAINLIEST PLSSSS

Answer:

y=7x+

Step-by-step explanation:

y=mx + b

b is the number y is at when x is at

0

m us the slope or the number y goes up for each 1 number x does

in this set you can see when x is at 0 y is at 1 then for the next one you see when x is 1 y is 8 which is a 7 increase for

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

Explanation:

Consider the standard form Ax+By = C

Anything perpendicular to this is Bx-Ay = D. We swapped the positions of A and B, and changed the plus sign to a minus. This will ensure we get a negative reciprocal slope needed for the perpendicular line. The slope of the first line is -B/A, while the slope of the second line is A/B. The two slopes multiply to -1 assuming neither A nor B are zero.

Also, I've introduced the constant D. There may be cases when C = D, but that isn't always the case.

The given equation is 2x+5y = 10. This tells us A = 2, B = 5, C = 10.

The perpendicular line will be of the form 5x-2y = D, based on the template I mentioned above.

Plug the coordinates (2,-3) into 5x-2y = D to find the value of D

5x-2y = D

5(2)-2(-3) = D

10+6 = D

16 = D

D = 16

So 5x-2y = D updates to 5x-2y = 16

Therefore, 5x-2y = 16 is perpendicular to the original line, and this new line goes through (2,-3)

On average, a person weighing 150 pounds can burn approximately 80 to 90 extra calories by slowly walking at a pace of 1.7 miles per hour for one hour instead of sitting.

The number of extra calories a person would burn by slowly walking instead of sitting for one hour depends on various factors, such as the person's weight, height, age, and gender. However, on average, a person weighing 150 pounds can burn approximately 80 to 90 calories by walking at a slow pace of 1.7 miles per hour for an hour.

This number may vary slightly based on individual differences and other factors, such as incline or terrain. Walking is a low-impact form of exercise that can help increase calorie burn and improve overall health, making it a great option for those looking to lead a more active lifestyle.

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Answer:

60

Step-by-step explanation:

If there are 300 calories in 100g of Bill's food, then we can divide 5 on both  sides to find the number of calories in a 20g portion of this food: 300/5=60 calories.

Answer:

english i think u need hekp

A triangle with angle measures of 90° and 125° is not possible

It is impossible for a triangle to have angle measures of 90° and 125° because the sum of the interior angles of a triangle is always 180°. In Euclidean geometry, a triangle is a closed shape with three sides and three angles.

If we have a triangle with a right angle of 90°, the sum of the other two angles must be 90° as well in order to make the total sum of angles equal to 180°. Therefore, there is no room for an angle of 125° in this triangle.

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Hypothesis is tested as H₀: σ   = 0.05 mm versus H₁: σ  <  0.05 mm.

The type I error occurs if we accept a shipment that should have been rejected .

A type II error occurs if we reject a shipment that should have been  accepted.

Given that,

A corporation wants to see concrete proof that the genuine standard variation of sheath thickness is less than 0.05mm before committing to a significant order of polyethylene sheaths for a certain kind of high-pressure oil-filled submarine power line.

We have to find what theories need to be tested and what exactly are types I and ii errors.

We know that

H₀: σ   = 0.05 mm

versus

H₁: σ  <  0.05 mm.

In this context,

The type I error occurs if we accept a shipment that should have been rejected .

A type II error occurs if we  reject a shipment that should have been  accepted.

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Answer:

-2

Step-by-step explanation:

Answer:

x=15

Step-by-step explanation:

3(x-5)=30

First, you would distribute the three to the x and the negative five.

3x-15=30

Then you would add 15 to the 15 to cancel it and to the 30 to make it even.

3x-15=30

  +15=+15=

3x=45

Finally, you would divide 3 into both sides, cancelling out the three and fiving you,

x=15

Hope this helped!

Start by distributing the 3 through the parenthses on the left side.

This gives us 3x - 15 = 30.

Now add 15 to both sides to end up with 3x = 45.

Dividing both sides by 3, we fin that x = 15.

Answer:

0.75 cents

Step-by-step explanation:

quarter is 25 cents and nickels are 5 cents so add 25+25+25=75

Answer:

Step-by-step explanation:

Solve the following system:

{3 y + 2 x = -2 | (equation 1)

{-y + 52 x = -2 | (equation 2)

Swap equation 1 with equation 2:

{52 x - y = -2 | (equation 1)

{2 x + 3 y = -2 | (equation 2)

Subtract 1/26 × (equation 1) from equation 2:

{52 x - y = -2 | (equation 1)

{0 x + (79 y)/26 = -25/13 | (equation 2)

Multiply equation 2 by 26:

{52 x - y = -2 | (equation 1)

{0 x + 79 y = -50 | (equation 2)

Divide equation 2 by 79:

{52 x - y = -2 | (equation 1)

{0 x + y = -50/79 | (equation 2)

Add equation 2 to equation 1:

{52 x + 0 y = -208/79 | (equation 1)

{0 x + y = -50/79 | (equation 2)

Divide equation 1 by 52:

{x + 0 y = -4/79 | (equation 1)

{0 x + y = -50/79 | (equation 2)

Collect results:

Answer: {x = -4/79, y=-50/79

Answer:

-x-7

Step-by-step explanation:

(-2x+4)+(x-11)

-2x+4+x-11

-x-7

The equation that can be used to find r, the rate of growth per year of the world population, is \(r = (7.53 / 5.88 )^{(1/20)} - 1\).

If we assume that the growth rate of the world population was constant from 1997 to 2017, then we can use the following equation:

Population in 2017 = Population in 1997 × (1 + r)²⁰

where r is the annual growth rate, and the exponent 20 represents the number of years between 1997 and 2017.

We can rewrite this equation to solve for r:

(7.53 ) = (5.88 ) × (1 + r)²⁰

Divide both sides by (5.88 ):

(7.53 ) / (5.88 ) = (1 + r)²⁰

Take the 20th root of both sides:

\((7.53 / 5.88 )^{(1/20)} = 1 + r\)

Subtract 1 from both sides:

\(r = (7.53 / 5.88 )^{(1/20)} - 1\)

Therefore, the equation that can be used to find r, the rate of growth per year of the world population, is \(r = (7.53 / 5.88 )^{(1/20)} - 1\).

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AB = BC = CD = DA

Hence, ABCD is a rhombus.

A parallelogram ABCD's diagonal AC bisects

We could employ the alternative internal angle rule to demonstrate that the diagonal AC bisects C, and by demonstrating that almost all sides are equal, you can conclude ABCD is a rhombus.

i) ABCD is a parallelogram.

∠DAC = ∠BCA (Alternate interior angles)  

∠BAC = ∠DCA (Alternate interior angles)  

However, it is given that AC bisects ∠A.

∠DAC = ∠BAC                                          

From equations (1), (2), and (3), we obtain

∠DCA  = ∠BAC = ∠DAC = ∠BCA              

Thus, ∠DCA = ∠BCA

Hence, AC bisects ∠C.

ii) From Equation (4), we obtain

∠DAC = ∠DCA

DA = DC (Side opposite to equal angles are equal)

However, DA = BC and AB = CD (Opposite sides of a parallelogram  are equal)

Thus, AB = BC = CD = DA

Hence, ABCD is a rhombus.

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Answer:

Lateral surface area of cuboid = 448 ft²

Step-by-step explanation:

Given:

Height of cuboid(h) = 14 ft

Length of cuboid(l) = 9 ft

width of cuboid(b) = 7 ft

Find:

Lateral surface area of cuboid

Computation:

Lateral surface area of cuboid = 2 h(l + b)

Lateral surface area of cuboid = 2(14)(9 + 7)

Lateral surface area of cuboid = 28(16)

Lateral surface area of cuboid = 448 ft²

Answer: 102.9m

Step-by-step explanation: From A to C you can go from the diagonal path and then go around the circular path and then continue the diagonal path. In order to work out the length of the diagonal, you can simply use pythagoras as the triangle is right angled. So to find the length of the whole diameter, you should do 50 squared plus 80 squared and then square root the answer to get 94.34. But then you have to subtract the part of the diagonal line which the circle takes up, so we already know that the diameter of the circle is 15m so we simply do 94.34-15 to get 79.34. This means that we have found the length of the two diagonals, but now we need to find the length of half the circumference of the circle so that the path is complete and to find half the circumference, we'd do Pi multiplied by the diameter (15) and then divide the answer by 2 (because we are only finding the circumference for half of the circle as we have you go around the circle), leaving us with the answer of 23.56. We then add this to the 79.34 to get the answer of 102.9m. We know this is the shortest route as going along the edges of the rectangle would be 130m which is longer than 102.9m.

symbolab

Step-by-step explanation:

it's free it can help you a lot I promise

The three conditions for a function to be continuous at a point x=a are:

a) The function is defined at x=a.

b) The limit of the function as x approaches a exists.

c) The limit of the function as x approaches a is equal to the value of the function at x=a.

The continuity of a function can be analyzed by observing its graph. However, as the graph is not provided, a specific discussion about its continuity cannot be made without further information. It is necessary to examine the behavior of the function around the point in question and determine if the three conditions for continuity are satisfied.

The function f(x) = { *** is not defined in the question. In order to discuss its continuity, the function needs to be provided or described. Without the specific form of the function, it is impossible to analyze its continuity. Different functions can exhibit different behaviors with respect to continuity, so additional information is required to determine whether or not the function is continuous at a particular point or interval.

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Answer:

45 • 4 = 180

Step-by-step explanation:

1 quart = 1/4 gallon.

45 • 4 = 180

Answer:

2

Step-by-step explanation:

Hey there!

The equation is asking us, c x c = 4

What is c?

Well the only number that is equal to 4 when you square it is 2

The derivative of f(x) = (x-1)^2 * sin(x) at x = 0 is 0.

The derivative of y = e^x * ln(sin(x)) is e^x * (ln(sin(x)) + cot(x)).

The value of the limit as e approaches negative infinity of e^-x is 0.

To find the derivative of f(x) = (x-1)^2 * sin(x), we can use the product rule. Applying the product rule, the derivative of f(x) is given by f'(x) = 2(x-1) * sin(x) + (x-1)^2 * cos(x). Substituting x = 0 into the derivative expression, we have f'(0) = 2(0-1) * sin(0) + (0-1)^2 * cos(0) = 0.

To find the derivative of y = e^x * ln(sin(x)), we can apply the product rule and the chain rule. Using the product rule, the derivative of y is given by y' = e^x * ln(sin(x)) + e^x * (ln(sin(x)))' = e^x * ln(sin(x)) + e^x * (ln(sin(x)) + cot(x)).

The limit of e^-x as e approaches negative infinity can be evaluated by substituting e = -∞ into the expression e^-x. Since e^(-∞) approaches 0 as e approaches negative infinity, the value of the limit is 0.

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the probability that he drove the small car is 0.890 (option A).

Using Bayes' theorem to solve the problem given, let us represent the following events:

A: Friend drives the small carB: Friend drives the large carC: Friend is on timeGiven that three-quarters of the time he drives the small car and one-quarter of the time he drives the large car, we can calculate the prior probabilities:

P(A) = 3/4 and P(B) = 1/4.

Also, given that he usually has little trouble parking with probability 0.9 when driving the small car and is on time with probability 0.6 when driving the large car, we can calculate the likelihoods:

P(C|A) = 0.9 and P(C|B) = 0.6

Using Bayes' theorem, we can calculate the posterior probability of driving the small car given that he was on time on a particular morning:

P(A|C) = P(C|A) * P(A) / (P(C|A) * P(A) + P(C|B) * P(B))= 0.9 * 3/4 / (0.9 * 3/4 + 0.6 * 1/4) = 0.890

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