Help me pleaseeeeeeeee

The reasonable domain for the function is (b) x > 0

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

The function f(x) = 75x + 100

Where x is the number of hours

f(x) is the total cost.

In this case, the number of hours cannot be negative or 0

This means that the values of x in the function would be x > 0

These values of x are the domain

So, the reasonable domain for the function os (b) x > 0

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Answer:

Rounds down to 7000.

Step-by-step explanation:

Step-by-step explanation:

(√2 + 2√5) (√4 - 2√5)

= (√2 + 2√5) (√2² - 2√5)

= (√2 + 2√5) (2 - 2√5)

= √2 (2 - 2√5) + 2√5 (2 - 2√5)

= √2x2 + √2x(-2√5) + 2√5x2 + 2√5x(-2√5)

= 2√2 - 2√10 + 4√5 - 4√5²

= 2√2 - 2√10 + 4√5 - 20

= -14.55

The items in the left column to the items in the right column.

What are polygons ?

Polygons are two-dimensional geometric figures made up of straight line segments connected to form a closed shape. Polygons can have any number of sides, as long as the sides do not cross each other and the shape is closed. Examples of polygons include triangles, quadrilaterals, pentagons, hexagons, and so on.

Polygons are classified according to the number of sides they have. For example, a polygon with three sides is called a triangle, a polygon with four sides is called a quadrilateral, and so on. Additionally, polygons can be further classified according to their angles and side lengths. For example, a polygon with all sides and angles equal is called a regular polygon.

According to the question:

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Answer:

\(y\in (-\infty ,5]\)

Step-by-step explanation:

In this problem, we need to write "Twenty times y is at most 100 in interval notation ".

20 times y means, 20y

Atmost means an inequality which is \(\le\)

ATQ,

\(20\times y\le 100\)

i.e.

\(20y\le 100\\\\y\le 5\)

We can also write it as :

\(y\in (-\infty ,5]\)

Hence, the required interval notation is \(y\in (-\infty ,5]\).

The interval notation is \(\rm y \epsilon (\infty,6]\).

The Interval notation is a method to define a set of numbers between a lower limit and an upper limit by using end-point values.

"Twenty times y is at most 100 in interval notation ".

Here, 20 times y means, 20y at most means an inequality.

Therefore,

The inequality is;

\(\rm 20 \times y\leq 100\\\\20y\leq 100\\\\y \leq \dfrac{100}{20}\\\\y\leq 5\)

Hence, the required interval notation is \(\rm y \epsilon (\infty,6]\).

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By taking in mind the number of combinations of 4 out of the 7 dishes, and the possible orders of these 4 dishes, we will find that there are 840 unique ways to arrange 4 of the 7 dishes.

We know that if we have a set of N elements, the total number of different combinations of K elements (K ≤ N) out of the N elements is given by:

\(C(N, K) = \frac{N!}{(N - K)!*K!}\)

In this particular case, we have:

Then the number of different combinations is given by:

\(C(7, 4) = \frac{7!}{(7 - 4)!*4!} = \frac{7*6*5}{3*2} = 35\)

Now we have 4 dishes selected, but we also need to order them.

The number of different arrangements of the dishes is given by the product between the numbers of options above, this gives:

4*3*2*1 = 24

Then the total number of unique ways of arranging 4 of the 7 dishes is:

C = 24*35 = 840

Where we take in mind the possible number of combinations of 4 out of the 7 dishes, and the possible orders of these 4 dishes.

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The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is  (APR / 365) x 30 days x adjusted balance.

The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.

The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.

Credit card interest method = adjusted balance method

Beginning balance = $780

Purchase = $170

Payment = $210

Adjusted balance, AB = $740 ($780 + $170 - $210)

APR = 17% = 0.17 (17/100)

The interest charged = (APR / 365) x 30 days x adjusted balance

= $10.34 [(0.17/365) x 30 x $740]

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Answer:

Yes

Step-by-step explanation:

You see that angle D and angle A are congruent, and you see that angle C and angle F are congruent. In addition, line AC is congruent to DF. This means that yes, those triangles are congruent because of the ASA postulate.

The perimeter of the rhombus in this problem is given as follows:

19.8 units.

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

The diagonal length can be obtained as follows:

RU + UT = 7.

Applying the Pythagorean Theorem, the side length is obtained as follows:

x² + x² = 7²

2x² = 49

\(x = \sqrt{\frac{49}{2}}\)

x = 4.95.

Then the perimeter is given as follows:

P = 4 x 4.95

P = 19.8 units.

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Answer: 5 6/10

Step-by-step explanation:

Answer:

7 \(\frac{9}{10}\)

Step-by-step explanation:

First find the LCM between both denominators, in which this situation is 10.

4 + 3 = 7

Multiply the first fraction, both sides (top and bottom) by 2

\(\frac{6}{10} +\frac{3}{10} = \frac{9}{10}\)

Step-by-step explanation:

f(x) = (x-3)-16

g(x) =3x + 7

X= - 7

3

Answer:

Step-by-step explanation:

1/4. Two lines are perpendicular if -1/m1 = m2 where m1 and m2 are the slopes of which are perpendicular.

a. To create a pie chart to show the total medal winnings of the Top 10 NOCs at the Beijing 2022 Winter Olympic games:

Obtain the data for the medal winnings of the Top 10 NOCs

Calculate the total medal winnings for each NOC (i.e., the sum of gold, silver, and bronze medals)

Create a pie chart in Excel or any other software by selecting the data and choosing the pie chart option

Add a title and labels to the chart to show the NOCs and their corresponding medal winnings

b. The interpretation of the pie chart produced in Question 8a) depends on the shape and distribution of the chart. Two probable justifications for the behavior of the data are:

Dominance of certain NOCs: The pie chart may show that certain NOCs have a significantly higher share of medal winnings compared to others. This may be due to the dominance of these NOCs in specific sports or events, or due to their superior training and preparation.

Balanced distribution of medals: The pie chart may show a relatively balanced distribution of medal winnings among the Top 10 NOCs. This may indicate a high level of competitiveness and equal opportunities for success among the NOCs.

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Answer: It’s A

Step-by-step explanation:

On the interval (3π/2, 2π), both the sine and cosine functions are increasing.

The values of sine and cosine functions at (0, π/2, π, 3π/2, 2π) are as follows:

sin (0) = 0;          cos (0) = 1

sin (π/2) = 1;        cos (π/2) = 0;

sin (π) = 0;          cos (π) = - 1

sin (3π/2) = - 1;   cos (3π/2) = 0

sin (2π) = 0;       cos (2π) = 1

Therefore, it is clear from the above values of sine and cosine that on the interval (3π/2, 2π), both the sine and cosine functions are increasing.

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About 88.49% of cellphone plans have charges that are less than $83.60.

To determine the percentage of plans that have charges less than $83.60, we need to find the z-score (z) using the given mean and standard deviation, and then look up the corresponding area under the normal distribution curve.

z = (x – μ) / σ

where x = 83.60, mean, μ =  62 and standard deviation, σ = 18

Thus, the z-score of $83.60 is:

z = (83.60 - 62) / 18 = 1.2

Using a standard normal distribution table, we can find that the area to the left of z = 1.20 is 0.8849 or 88.49% (check image attached).

Therefore, about 88.49% of cellphone plans have charges that are less than $83.60.

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Based on the given information, one of the acute angles in the triangle is 22 degrees, and another measures 68 degrees.

In any triangle, the sum of the three interior angles is 180 degrees. Therefore, in this right-angle triangle,

90 + X + 3X + 2 = 180

4X + 92 = 180

4X = 180 - 92

4X = 88

X = 22

So, one of the acute angles in the triangle is 22 degrees.

Now, we can find the third angle using the fact that the sum of the three angles in a triangle is 180 degrees:

90 + X + 3X + 2 = 180

4X + 92 = 180

4X = 88

3X + 2 = 68

Therefore, the third angle in the triangle measures 68 degrees.

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The placement results provided, the student should start with Math 100.

The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.

To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.

Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.

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Answer:

mack and hack was wearing jacks hat

Step-by-step explanation:

The bridge needs to be 1.6 miles long. The solution has been obtained by using Pythagoras theorem.

What is Pythagoras theorem?

According to the Pythagorean Theorem, the square of a right-angled triangle's hypotenuse side is equal to the sum of the squares of its other two sides.

We are given a right angled triangle with base 3 miles and the hypotenuse 3.4 miles.

The perpendicular is given to be 'x'.

Using Pythagoras theorem, we know that

⇒Hypotenuse² = Perpendicular² + Base²

⇒(3.4)² = x² + 3²

⇒11.56 = x² + 9

⇒x² = 2.56

⇒x = 1.6 miles

Hence, the bridge needs to be 1.6 miles long.

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\( \qquad\longrightarrow \sf f(x) = sin^{-1} \bigg(\dfrac{x}{2}\bigg)\\\)

The Derivative of f(x) with respect to x-

\( \qquad\longrightarrow \sf \dfrac{d}{dx} \:sin^{-1} \bigg(\dfrac{x}{2}\bigg)\\\)

\( \qquad\longrightarrow \sf \dfrac{1}{\sqrt{1-\bigg(\dfrac{x}{2}\bigg)^2}}\;\times \dfrac{d}{dx}\:\dfrac{x}{2}\\\)

\(\qquad\sf\because\boxed{\sf{ \: \dfrac{d}{dx} sin^{-1}x = \dfrac{1}{\sqrt{1-x^2}}}}\\\)

\( \qquad\longrightarrow \sf \dfrac{1}{\sqrt{1-\bigg(\dfrac{x^2}{4}\bigg)}}\;\times\dfrac{1}{2} \:x^{1-1}\\\)

\(\qquad \sf\because\boxed{\sf{ \dfrac{d}{dx }x^n = nx^{n-1}}}\\\)

\( \qquad\longrightarrow \sf \dfrac{1}{\sqrt{1-\bigg(\dfrac{x^2}{4}\bigg)}}\;\times\dfrac{1}{2} \times 1\\\)

\( \qquad\longrightarrow \sf \dfrac{1}{\sqrt{1-\bigg(\dfrac{x^2}{4}\bigg)}}\;\times\dfrac{1}{2} \\\)

\( \qquad\longrightarrow \sf\dfrac{1}{2}\: \dfrac{1}{\sqrt{1-\bigg(\dfrac{x^2}{4}\bigg)}}\\\)

\( \qquad\longrightarrow \underline{\sf\: \dfrac{1}{2\:\sqrt{1-\bigg(\dfrac{x^2}{4}\bigg)}}}\\\)

Henceforth, Option C) is the correct answer.

Answer:

Step-by-step explanation:

THE ANSWER TO YOUR QUESTION IS C.

Answer:

150 miles

Step-by-step explanation:

speed = 120 km per hour

1 mile = 1.6 km

speed = 120 km per hr

divide 120 with 1.6 to get in miles=120/1.6

= 75 miles per hour

speed = 75 miles per hour

So, in 1 hr, it can travel 75 miles

the distance traveled by car in 2 hours = 75 * 2 = 150

Result : Speed = 75 miles per hour , distance = 150 miles

Answer:

the product of the decimal equivalents of all discount in the series

Printing money could create more problems than it solves.

Money is a current medium of exchange in the form of coins and banknotes collectively.

Given is that to answer the problems with unlimited printing of money.

Therefore, printing money could create more problems than it solves.

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Answer: 3/4 is greater than 1/2  

                                   >

Step-by-step explanation:

The option that is not a part of a formal proof is E.  none of these

A formal proof or derivation can be described as a finite sequence of sentences, having an axiom, an assumption, or leads the way from the preceding sentences in the sequence by a rule of inference.

It demonstrates the logical necessity of a given conclusion.

The different parts of a formal proof includes;

Hence, the correct option is E

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Answer:

Hi Marie, use the reminder

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

Tan(x) = Opp / Adj

Tan(x) =32 / 24

X = arcTan(32/24)

X = 53.13°

Answer:

\(\displaystyle a = \frac{8}{5}\).

Step-by-step explanation:

Two vectors \((x_1,\, y_1)\) and \((x_2,\, y_2)\) are parallel to one another if and only if the ratio between their corresponding components are equal:

\(\displaystyle \frac{x_1}{x_2} = \frac{y_1}{y_2}\).

Equivalently:

\(\displaystyle \frac{x_1}{y_1} = \frac{x_2}{y_2}\).

For the two vectors in this equation to be parallel to one another:

\(\displaystyle \frac{a}{4} = \frac{2}{5}\).

Solve for \(a\):

\(\displaystyle a = \frac{8}{5}\).

\(\displaystyle \frac{8}{5}\) would be the only valid value of \(a\); no other value would satisfy the \(\displaystyle \frac{x_1}{y_1} = \frac{x_2}{y_2}\) equation.