Add one term to the polynomial expression 14x^19 - 9x^15 + 11x^4 + 5x^2 + 3 to make it into a 22nd degree polynomial

Answer:

The three errors are:

1) Incorrectly swapping the variables x and y.

2) Failure to use the ± symbol.

3) The domain is wrong; it should be x ≤ 0.

Step-by-step explanation:

Review the following steps.

Step 1:

The initial step is incorrect because the variables x and y were switched improperly; it should be:

Step 2:

Step 3:

Step 4: , for x ≥ 0

Step 4 contains an error as the ± sign is required. Additionally, the function's domain is inaccurately stated.

The radicand must be nonnegative, implying that x must satisfy x ≤ 0.

Answer:

The height of the triangular pyramid base is represented by s√3/2 units.

Step-by-step explanation:

This question focuses on calculating the height of the equilateral triangle at the base of the oblique pyramid.

According to the question, the equilateral triangle side has a length of a units.

Let’s review some properties of equilateral triangles:

a. All sides are identical in length, in this case, side s represents all sides.

b. All angles measure the same, at 60 degrees each.

c. Drawing a perpendicular line from the top vertex to the base divides the triangle into two right triangles, which have angles of 60 and 30 degrees, respectively.

To find the height of this triangular base, we can utilize either of the two right-angled triangles.

Recall the angles of 30, 60 and the side length s.

For height h calculation, trigonometric functions will assist us.

The relevant trigonometric relationship involves the sine of the angle (where side length s is the hypotenuse and height h is the opposite side relative to the 60-degree angle).

Thus, we can express this as:

Sine of an angle = opposite side length/hypotenuse length

sin 60 = h/s

Consequently, h = s sin 60.

In surd form, this yields:

sin 60 = √3/2.

Therefore, we find:

h = s * √3/2 = s√3/2 units.

Indeed, a fare of $40 is a fair charge for the cab ride.

Explanation

Sheri's cab fare totaled $32, with a gratuity rate of 20%.

The gratuity amount is:

Thus, the total cab fare including gratuity is:

Since Sheri issued a $40 check to the cab driver, it indicates she provided ($40 - $38.40) or an extra $1.60 to the cab driver. Consequently, the $40 payment is reasonable for the cab fare.

Answer:

1%

Step-by-step explanation:

The selling price for each radio is $2288.

Total selling price is $4576.

Profit is 10%.

Loss is also 10%.

Cost price=

Cost price=

Utilizing the formula,

Cost price of the first radio is $2080.

Cost price of the second radio is =$2542.2.

The combined cost price for both radios totals 2080+2542.2=$4622.2.

Total cost price exceeds total selling price.

Loss equals selling price minus cost price.

Loss is calculated as 4622.2-4576=$46.2.

Loss%=

Loss percentage is 1%.

Thus, the loss is 1%.

The query arises from an activity that must be completed to acquire the letters filling in the answer. After participation in this activity, the response to why the cow provided only buttermilk is "What else can she provide but her milk." The phrase "But-her-milk" is a play on words with "buttermilk." I hope this clarification assists you.