can u help me with this question nd if u can see the -5,0

\(y = \frac{x^3 +5}{6}\\\)

\(\frac{x^2}{2}\\\) is just the the derivative of \(f(x)\) since it it is the slope of the line tangent to the curve at \(x\). To find how \(f(x)\) is defined, we'll just take the anti-derivative of \(\frac{x^2}{2}\\\).

Recall:

\(\int x^n \mathrm{d}x = \frac{x^{n +1}}{n +1} &, &n \neq -1\\\)

Solving for \(f(x)\):

\(f(x) = \int \frac{x^2}{2} \mathrm{d}x \\ f(x) = \frac12 \int x^2 \mathrm{d}x \\ f(x) = \frac12 \cdot \frac{x^3}{3} \\ f(x) = \frac{x^3}{6} +C\)

We still have to solve for \(C\). Note that the point \((1,1)\) has to be on our graph so \(f(1) = 1\) or \(\frac{(1)^3}{6} +C = 1\\\).

Solving for \(C\):

\(\frac{(1)^3}{6} +C = 1 \\ \frac{1}{6} +C = 1 \\ C = 1 -\frac{1}{6} \\ C = \frac{6}{6} -\frac{1}{6} \\ C = \frac{5}{6}\)

We can finally write \(f(x) = \frac{x^3}{6} +\frac{5}{6}\\\) or \(f(x) = \frac{x^3 +5}{6}\\\). Since \(y = f(x)\), we can write it as \(y = \frac{x^3 +5}{6}\\\) as well.

Answer:

$202.80

Step-by-step explanation:

y=0.08x+1/20

x=2520

y=0.08x+1.20

0.08*2520+1.20

201.6+1.20

$202.8

Answer:

Step-by-step explanation:

Its 4.51

Step-by-step explanation:

(1,1) (2,2) (0,0) (-1,-1) (-2,-2)

you get a straight line with the slope of 1

the figure is in quadrant 1 and 3

Answer:

(1, 1), (2, 2), (-3, -3), (4, 4), (-5, -5)

Step-by-step explanation:

You get a straight line. As you can see in the picture, the figure lies in the first and third quadrant.

Answer:

84 students go online several times a day

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Plug in 6 to x, since this is the x-value in the ordered pair.

\(3(6)+2y=36\\18+2y=36\\2y=18\\y=9\)

Answer:

(6, 9)

Step-by-step explanation:

3x + 2y = 36

Substitute 6 into the equation to get the output.

3(6) + 2y = 36

Multiply 3 and 6.

18 + 2y = 36

Subtract 18 from both sides.

2y = 18

Divide both sides by 2.

y = 9

The ordered pair when x = 6 is

(6, 9)

Answer:she can make three 5 ounce candles. she had 15 ounces left over , 15/5=3 .

Step-by-step explanation: 5 of 10% of 20 ounces is 10 ounces, and both the 5 five ounce candles and the twenty five one ounce candles are each 2.5 extra ounces left. (5 for both), making a totalm of 15 ounces left to put into new candles.

The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.

To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.

The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.

To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:

Impact on income = Loss - Avoidable costs

Impact on income = $205,000 - ($1,295,000 + $119,000)

Impact on income = $205,000 - $1,414,000

Impact on income = -$1,209,000

The negative sign indicates a decrease in income.

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(a) The leading coefficient is positive and the degree is odd, so:

(b) The leading coefficient is negative and the degree is even, so:

Answer:

what question

Step-by-step explanation:

The missing angle is <B= 40 degree and missing side length is AB = 12.25 and AC = 19.068.

To find the missing angle and side measures of ΔABC, we can use the properties of a triangle.

Given:

∠A = 50°

∠C = 90°

CB = 16

We can start by finding the measure of ∠B:

∠A + ∠B + ∠C = 180° (Sum of angles in a triangle)

50° + ∠B + 90° = 180°

∠B + 140° = 180°

∠B = 180° - 140°

∠B = 40°

Now, using Sine law

CB/ sin A = AB / sin C

16 / sin 50 = AB / sin 90

16 / 0.766044 = AB

AB = 12.25

Again 12.25 = AC/ sin B

12.25 = AC / sin 40

AC = 19.068

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The number of kilograms which Darcy put in each container is equal to 0.8 kilogram.

In Mathematics, the unit rate is sometimes referred to as unit ratio and it can be defined as the quantity of material that is equivalent to a single unit of product or quantity.

In order to determine the unit rate, we would use the following mathematical equation (formula);

Unit rate = Number of kilograms of peanuts/Number of containers

Unit rate = 4/5

Unit rate = 0.8 kilogram.

In conclusion, we can reasonably infer and logically deduce that Darcy put 0.8 kilogram in each of the five containers.

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Answer:

Step-by-step explanation:

To solve this problem, we need to find the number which express the whole park.

Notice that the park is divided in two sections, one occupies 5/8 of the total, and the other occupies 2/7 of the total. So, the sum would be

\(\frac{5}{8}+\frac{2}{7}=\frac{35+16}{56} =\frac{51}{56}\)

Now we have the total space there, we need to divide 5/8 by 51/56, so

\(\frac{5}{8} \div \frac{51}{56}=\frac{5}{8} \times \frac{56}{51}=\frac{280}{408} \approx 0.69\)

Therefore, the rink occupies 69% of the whole park, approximately, which is equivalent to 280/408.

Answer:

If (x-1) is a factor of the polynomial f(x) = 4x² - 4x² - x - K, then we know that (x-1) divides evenly into the polynomial, which means that the polynomial can be written as:

f(x) = (x-1)(ax + b)

where a and b are constants that we need to determine. We can use the distributive property to expand this expression and equate it with the original polynomial:

f(x) = (x-1)(ax + b) = 4x² - 4x - K

Expanding the left side of the equation, we get:

ax² + bx - ax - b = ax² - (a-b)x - b = 4x² - 4x - K

Now we can equate the coefficients of the like terms on both sides of the equation.

The coefficient of x^2 on the left side is a, and on the right side it is 4. Therefore, we have:

a = 4

The coefficient of x on the left side is b - a, and on the right side it is -4. Therefore, we have:

b - a = -4

Substituting a=4, we get:

b - 4 = -4

Solving for b, we get:

b = 0

So the polynomial can be written as:

f(x) = (x-1)(4x + 0) = 4x² - 4x

Therefore, K = 0.

To find the roots of the equation, we need to set f(x) = 0 and solve for x:

4x² - 4x = 0

Factor out 4x:

4x(x - 1) = 0

So the roots of the equation are x = 0 and x = 1.

Answer:

Step-by-step explanation: 23/40 = 1/2

Answer:

see below

Step-by-step explanation:

(1.3) ^ 2= (1.3) (1.3) = 1.69

(1.4) ^ 2= (1.4) (1.4) = 1.96

(1.5) ^ 2= (1.5) (1.5) = 2.25

2 is close to 1.96 so the square root of 2 is close to 1.4

Answer: 1+1 = Dr. Phill

Step-by-step explanation:

Dr. Phill is the answer for everything, you see, his phillyness is underrated. he has magical wiggly fingers that shine in the sun. he can summon the enderdragon but as a gay drag queen.

therefore, magical wizard, dr. philly pill.

Answer:

x = 4

Explanation:

Given the expression;

Add 4 to both sides

Square both sides

Hence the value of x is 4

Answer:

300+ 80+6

Step-by-step explanation:

i think i not sure

The measure of arc CD is equal to the measure of angle BCD, which is 240 degrees.

In the given diagram, we can see that angle ACD is a right angle, since it is formed by the radius AC and tangent CD at point C.

Therefore, angle BCD is equal to angle ACD, which is 90 degrees.

Since angle BCD is an exterior angle of triangle BCF, it is equal to the sum of the two remote interior angles, which are angles BFC and FCB.

Angle BFC is equal to angle ABC (since they are opposite angles), which is 60 degrees.

Similarly, angle FCB is equal to angle ACF, which is also 60 degrees.

Therefore, angle BCD is equal to angle BFC + angle FCB, which is 60 + 60 = 120 degrees.

Now, since arc CD is subtended by angle BCD, its measure is also equal to 120 degrees.

Hence, the measure of arc CD is 120 degrees.

Similarly, angles ACF and FCB are opposite angles in the cyclic quadrilateral AFCB, so they are supplementary. Therefore, angle FCB is equal to 180 - angle ACF,

Which is also 180 - 60 = 120 degrees.

Now we can apply the exterior angle theorem to find the measure of angle BCD. We have:

angle BCD = angle BFC + angle FCB

= 120 + 120

= 240 degrees

Finally, we can conclude that the measure of arc CD is equal to the measure of angle BCD, which is 240 degrees.

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Answer:

d

Step-by-step explanation:

Answer:

$40.00 is the answer

Step-by-step explanation:

also can you mark me as a brainlist if you get a chance

Answer: $40.00

Step-by-step explanation:

12 is 30% of 40

The quadrilateral you're describing is a Kite. A kite is a quadrilateral with two pairs of consecutive congruent sides, and its diagonals meet at a right angle.

Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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Answer:

As there are six seats in a row and the first person in the row is a woman and the people alternate woman, men, the possibility is

W

M

W

M

W

M

in that order.

Now as we four women, three seats for women can be filled in

X

4

P

3

=

24

ways

and similarly as we four men, three seats for men can be filled in

X

4

P

3

=

24

ways

Hence, total

24

×

24

=

576

permutations.

Step-by-step explanation: