if a scientist gets unexpected results during the first trail of an experiment what should he or she do next

The sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator is $59.15.

To calculate the sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator we will follow these steps:

Step 1: Calculate the amount of discount = Regular Price × Discount rate

Discount rate = 35/100

Simplifying the value we have:

Discount rate = 0.35

Amount of discount = 91 × 0.35

Amount of discount = $31.85

Step 2: Calculate the sale price

Sale price = Regular price − Amount of discount

Sale price = $91 − $31.85

Sale price = $59.15

Hence, the sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator is $59.15.

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Answer:

A(-3,4)

Step-by-step explanation:

The solution of the inequality y < 2x + 3 will be;

⇒ (3, 0)

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ y < 2x + 3

Now,

Since, The inequality is,

⇒ y < 2x + 3

Hence, The solution of the inequality is,

For point (- 3,4);

⇒ y < 2x + 3

⇒ 4 < 2 × - 3 + 3

⇒ 4 < - 3

Which is not true.

For point (3,0);

⇒ 0 < 2x + 3

⇒ 0 < 2 × 3 + 3

⇒ 0 < 9

Which is true.

Thus, The solution of the inequality y < 2x + 3 will be;

⇒ (3, 0)

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The general solution of the differential equation y''(x) + y(x) = sec(x) tan(x) is y(x) = c₁cos(x) + c₂sin(x) + (-ln|sec(x) + tan(x)| + C₁)cos(x) + (-ln|sec(x) + tan(x)| + C₂)sin(x); here c₁ and c₂ are constants.

To solve the differential equation y''(x) + y(x) = sec(x) tan(x) using variation of parameters, we first need to find the solutions to the homogeneous equation y''(x) + y(x) = 0.

The auxiliary equation for the homogeneous equation is r² + 1 = 0, which has complex roots r = ±i.

The corresponding solutions to the homogeneous equation are y₁(x) = cos(x) and y₂(x) = sin(x).

Next, we need to find the particular solution using the method of variation of parameters. Let's assume the particular solution has the form y_p(x) = u(x)cos(x) + v(x)sin(x).

Now, we need to find u(x) and v(x) by substituting this form into the original differential equation and solving for u'(x) and v'(x).

Differentiating y_p(x), we get y_p'(x) = u'(x)cos(x) - u(x)sin(x) + v'(x)sin(x) + v(x)cos(x).

Taking the second derivative, y_p''(x) = -u(x)cos(x) - u'(x)sin(x) + v(x)sin(x) + v'(x)cos(x).

Substituting these derivatives into the original differential equation, we have:

(-u(x)cos(x) - u'(x)sin(x) + v(x)sin(x) + v'(x)cos(x)) + (u(x)cos(x) + v(x)sin(x)) = sec(x)tan(x).

Simplifying, we get:

u'(x)sin(x) + v'(x)cos(x) = sec(x)tan(x).

To find u'(x) and v'(x), we solve the following system of equations:

u'(x)sin(x) + v'(x)cos(x) = sec(x)tan(x),

u(x)cos(x) + v(x)sin(x) = 0.

We can solve this system using various methods such as substitution or elimination.

Solving the system, we find:

u'(x) = sin(x)sec(x),

v'(x) = -cos(x)sec(x).

Integrating these expressions, we obtain:

u(x) = -ln|sec(x) + tan(x)| + C₁,

v(x) = -ln|sec(x) + tan(x)| + C₂.

Finally, the particular solution is given by:

y_p(x) = (-ln|sec(x) + tan(x)| + C₁)cos(x) + (-ln|sec(x) + tan(x)| + C₂)sin(x).

The general solution to the differential equation is the sum of the homogeneous and particular solutions:

y(x) = c₁cos(x) + c₂sin(x) + (-ln|sec(x) + tan(x)| + C₁)cos(x) + (-ln|sec(x) + tan(x)| + C₂)sin(x).

Here, c₁ and c₂ are constants.

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The amount of money Rs 499,95 required 625 months ( approximately ) if every month Rs 80  saved by someone.

Amount of money saved every month is equal to Rs 80

Total amount of money to be save to buy a computer game = Rs 499,95

Amount of money saved in:

Rs 80 = 1 month

⇒ Rs 1 = ( 1 / 80 ) month

⇒ Rs 499,95 = ( 1 / 80 ) × 499,95 month

⇒ Rs 499,95 =  624.9375 months

⇒ Rs 499,95 = 625 months ( approximately )

⇒Rs 499,95 =  52 years 1 month

Therefore, number of months required to save money Rs 499,95 for new computer game is equal to 625 months ( approximately ).

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Answer:

R = 9

Step-by-step explanation:

The scale factor was used for each dilation are-

A transformation that changes the size of a figure is called a dilatation. This indicates that the preimage as well as image are similar and have been scaled up or down, respectively.

A dilatation that results in a reduction (imagine shrinking) or an enlargement (think stretching) produces a smaller or larger image, respectively.

Part a: For ΔABC

Length AB = 2 units

Length A'B' = 4 units

A'B' = 2 *AB

Thus,  For ΔABC - scale factor = 2

Part b: For ΔDEF -

Length DF = 2 units

Length D'F' = 1  units

D'F' = 1/2 DF

Thus, For ΔDEF - scale factor = 1/2

Part c: For ΔGHJ -

Length GH = 3 units

Length G'H' = 1  units

G'H' = 1/3 GH

Thus,  For ΔGHJ - scale factor = 1/3

Part d: For ΔKML -

Length KM = 2 units

Length K'M' = 6  units

K'M' = 3*KM

Thus, For ΔKML - scale factor = 3

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Answer:

It would be "a sentence that includes two independent clauses connected by a conjunction" which is Choice B.

Choice A wouldn't work as there needs to be two or more independent clauses for it to be a Compound Sentence.

Choice B would work, as it follows the definition of a Compound Sentence.

Choice C wouldn't work, that would be a Complex Sentence

Choice D wouldn't, that would be a Simple Sentence.

Also, note that this question is something for the Language Arts section.

Answer:

B. A sentence that includes two independent clauses connected by a conjunction.

Step-by-step explanation:

Compound sentences can make your writing very rich as you can connect two distinct independent clauses (no dependent clauses) using coordinating conjunctions such as for, and, nor etc (FANBOYS).

Example would be:

Juan likes to hunt, and he is going hunting on Sunday.

"Juan likes to hunt" is an independent clause where "Juan" is the subject, "likes" is the action, and a complete thought is expressed because we know what he likes to do now.

"He is going hunting on Sunday" is an independent clause where "He" is the subject, "is going" is the action, and a complete thought is expressed as we now know where he is going Sunday and what action he is doing.

The conjunction "and" is used, and a comma is correctly placed before "and."

Answer:

I need help w this question to answer it plz!

Answer:

Step-by-step explanation:

You will need to add a picture

Answer:

Step-by-step explanation:

factors of 8

Answer:

F- of a 8* i think

Step-by-step explanation:

Answer:

X Y and Z are the variables.

Step-by-step explanation

Answer (all bold letters/numbers):

2x-y+4z+1

the variables are: x, y and z

Step-by-step explanation:

variables are numbers that fluctuate depending on the situation, they can be replaced by a number or could represent the missing number in an equation

1). Option C

2). Option A

Polygon is given as a closed two-dimensional figure with three or more straight lines.

The given vertices of polygon ABCDE are A(2, 8), B(4, 12), C(10, 12), D(8, 8) and E(6, 6)

After reflection new polygon formed MNOPQ has the vertices M(-2, 8), N(-4, 12), O(-10, 12), P(-8, 8) and Q(-6, 6).

By comparing the vertices we find the x-coordinates of polygon ABCDE have been changed to MNOPQ by negative notation only. Y- coordinates are same.

Therefore, polygon ABCDE has been reflected across the y-axis.

Option C. is the answer.

If polygon MNOPQ is translated 3 units right and 5 units down then the new vertices of congruent polygon VWXYZ will be

M(-2, 8) = [(-2 - 3), (8 + 5)] = (-5, 13)

N(-4, 12) = [(-4 - 3), (12 + 5)] = (-7, 17)

O(-10, 12) = [(-10 - 3),(12 + 5)] = (-13, 17)

P(-8, 8) = [(-8 - 3), (8 + 5)] = (-11, 13)

Q(-6, 6) = [(-6 -3),(6 + 5)] = (-9, 11)

Thus, Option A. is the correct option.

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Answer:

Step-by-step explanation:

the

(a) The distance fallen with the chute open is 2.25 meters. (b) The total time in the air is 1.5 seconds. (c) The average velocity for the entire trip is -1.5 m/s.

To solve this problem, we can use the equations of motion for the two phases of the parachutist's motion: free fall and parachute descent. Let's break down the problem into parts:

(a) Distance fallen with the chute open (H):

In this phase, the parachutist is decelerating with an acceleration of magnitude 2.0 m/s². We need to find the distance H.

We can use the kinematic equation:

\(v^2 = u^2 + 2as\)

where:

v = final velocity = 3.0 m/s (magnitude)

u = initial velocity = 0 m/s

a = acceleration = -2.0 m/s^2 (negative because it opposes the motion)

s = distance

Rearranging the equation:

\(s = (v^2 - u^2) / (2a)\)

\(s = (3.0^2 - 0^2) / (2 * -2.0)\)

s = 9.0 / -4.0

s = -2.25 m

The distance fallen with the chute open (H) is 2.25 m.

(b) Total time in the air

To find the total time in the air, we need to calculate the time for each phase separately and then add them.

For the free fall phase:

Using the equation v = u + at, where:

v = final velocity = 0 m/s

u = initial velocity = 0 m/s

a = acceleration due to gravity = 9.8 m/s^2 (magnitude)

t = time

0 = 0 + 9.8t

t = 0 s

The time for free fall is 0 seconds.

For the parachute descent phase:

Using the equation v = u + at, where:

v = final velocity = 3.0 m/s (magnitude)

u = initial velocity = 0 m/s

a = acceleration = -2.0 m/s^2 (negative because it opposes the motion)

t = time

3.0 = 0 + (-2.0)t

t = 3.0 / (-2.0)

t = -1.5 s

The time for the parachute descent is 1.5 seconds.

The total time in the air is 0 seconds (free fall) + 1.5 seconds (parachute descent) = 1.5 seconds.

(c) Average velocity for the entire trip:

The average velocity is given by the total displacement divided by the total time.

Total displacement = Distance fallen with the chute open (H) = -2.25 m (negative because it is downward)

Total time = 1.5 seconds

Average velocity = Total displacement / Total time

Average velocity = -2.25 m / 1.5 s

Average velocity = -1.5 m/s

The average velocity for the entire trip is -1.5 m/s.

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Answer:

So unless the expression 11.47723 doesn't end, all of your numbers are rational.

Step-by-step explanation:

All numbers, quotients, integers, fractions, zero, and their counterparts are all rational numbers. Any number that doesn't end or any number that repeats over and over again forever is called an irrational number.

Hopefully I could help! :)

a ball is dropped from a height of 20 feet. each time it drops h feet, it rebounds 0.89h feet, 343.63 feet the total distance traveled by the ball.

The length of the line connecting any two places is known as their distance from one another. Subtracting the different coordinates will reveal the distance if the two locations are on the same horizontal or vertical line.

h₁ = 20 feet = h

h₂ = 0.89h

h₃ = 0.89²h

h₄ = 0.89³h

...........................

h(n) = 0.89ⁿh

Therefore, total distance travelled = 20 + 2 (0.89h + 0.89²h + 0.89³h +.....)

                                                        = 20 + 2h (0.89 + 0.89² + 0.89³ +.....)

Sum of (h.p)∞ = a/ (1-r)

Where, a = first term = 0.89

r = common ratio = 0.89

total distance travelled = 20 + 2 × 20 ×(0.89) × [1/(1 - 0.89)]

                                      = 343.63 ft.

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Answer:

The answer is B

Step-by-step explanation:

8 times 6 = 48

So 48 people will be able to sit down with one person left out.

A construction of the pie chart by using data from the table is shown in image attached below.

In Mathematics, a pie chart can be defined as a type of graph that is used for the graphical representation of the proportion relationship between each part or unit to a whole, especially by dividing a circle into various sectors or sections.

For the total number of vehicles purchased, we have:

Total number of vehicles purchased = 330 + 550 + 1,100 + 220

Total number of vehicles purchased = 2,200

Current % = 330/2200 × 100 = 25%.

Electron % = 550/2200 × 100 = 25%.

Niko % = 1,100/2200 × 100 = 25%.

Storm % = 220/2200 × 100 = 25%.

In this scenario, we would use an Excel worksheet to plot the given data in a pie chart in order to compare the most popular electric vehicles to each other and to the total number of electric vehicles purchased.

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Answer:

4 games

Step-by-step explanation:

Set up an equation for Javier's night at Pinz Bowling Alley:

\(11.47x + 9.55\)

Set up another equation for Javier's night at Vista Bowl:

\(12.5x + 3.95\)

Javier bought a drink at Vista Bowl, so modify the equation to accommodate this:

\(12.5x+3.95+1.48\)

Javier spent the same both nights in both alleys, so it is possible to set up a system of equations:

\(11.47x+9.55 = 12.5x+3.95+1.48\)

Simplify:

\(11.47x + 9.55 = 12.5x + 5.43\)

And solve for x, the number of games he played.

\(4.12 = 1.03x\)

\(x = 4\)

Javier played 4 games at each bowling alley.

Answer:

72 divided by 12 = 6 feet

Step-by-step explanation:

Since there are 12 inches in ONE FOOT you have to divide the total number of inches by the inches that are in a foot which is 12.

The digit that appears the most in the first 6 billion decimal places of pi is  C. 0.

Pi is a mathematical constant that is approximately equal to 3.14159. It is an irrational number, meaning that its decimal representation goes on infinitely without repeating. As a result, it is impossible to determine the exact value of pi, but its value can be approximated using various methods, including the use of computer algorithms. One such algorithm involves calculating pi to billions or trillions of decimal places. The resulting sequence of digits can then be analyzed to determine which digit appears the most frequently. In the case of the first 6 billion decimal places of pi, the digit 0 appears the most frequently.

According to one study, the frequency of each digit in the first 6 billion decimal places of pi is as follows: 0: 599,963,005 1: 600,033,072 2: 599,968,761 3: 600,098,056 4: 599,916,636 5: 599,993,197 6: 600,019,293 7: 600,007,804 8: 599,946,928 9: 599,956,248 As can be seen from these figures, the digit 0 appears more frequently than any other digit in the first 6 billion decimal places of pi. Therefore the correct option is C

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Option D is the correct response, and it is false to say that it is always necessary to use the Pythagorean Theorem when finding the distance between two points on a coordinate plane.

What is Pythagorean theorem?

The Pythagorean theorem is a fundamental concept in mathematics that relates to the lengths of the sides of a right triangle. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

The correct response is D) false; If the two points create a horizontal or vertical line segment, the Pythagorean Theorem is not needed.

When finding the distance between two points on a coordinate plane, the Pythagorean Theorem is used to calculate the distance only when the two points do not create a horizontal or vertical line segment.

If the two points create a horizontal line segment, then the distance between the two points is simply the difference between their x-coordinates. If the two points create a vertical line segment, then the distance between the two points is simply the difference between their y-coordinates. In both cases, the Pythagorean Theorem is not needed.

Therefore, option D is the correct response, and it is false to say that it is always necessary to use the Pythagorean Theorem when finding the distance between two points on a coordinate plane.

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The time series component that exhibits a repeating pattern over successive periods, often one-year intervals is called the seasonal component.

The seasonal component is that portion of the variations in a time arrangement representing intra-year changes that are more or less steady year after year with regard to timing, direction, and magnitude. The seasonal component is additionally alluded to as the seasonality of a time series. The seasonal component reflects “normal” varieties that repeat each year to the same extent.

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The time series component that exhibits a repeating pattern over successive periods, often one-year intervals is called

A. a cyclical component

B. a trend component.

C. seasonal component.

D. irregular component.

i dont know my friend so try asking someone better than cause i have no brain for this type of math

The subtended arc along the circle is 79/360 of the circle's circumference. Therefore, the subtended arc is approximately 0.2194 times as long as 1/360 of the circle's circumference.


To find the length of the subtended arc along the circle, we need to know what fraction of the circle's circumference it represents.

The angle measures 79 degrees, which is a little over 1/5 of a full circle (which measures 360 degrees). Therefore, the subtended arc represents a little over 1/5 of the circle's circumference. More precisely, it represents 79/360 of the circle's circumference.

To find out how many times as long the subtended arc is as 1/360 of the circle's circumference, we can divide the length of the subtended arc by the length of 1/360 of the circle's circumference. This gives us:

(79/360) / (1/360) = 79

So the subtended arc is 79 times as long as 1/360 of the circle's circumference. Alternatively, we can express this as a decimal by dividing the subtended arc by 1/360:

(79/360) ÷ (1/360) = 0.2194

So the subtended arc is approximately 0.2194 times as long as 1/360 of the circle's circumference.

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The graph that shows the most reliable results is given as follows:

Option C.

The correlation coefficient between two variables is an index that measures correlation between these variables, assuming values between -1 and 1.

If it is positive, the relation is direct proportional, and if it is negative, they are inverse proportional.

If the absolute value of the correlation coefficient is greater than 0.6, the relationship between the two variables is strong.

From this description, we get that the most accurate graph is the one with the higher correlation coefficient, hence Option C is correct.

This problem gives two options, as follows:

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The elements expressed as follows comprised of Dn is Dn = {r0, r1, r2, ..., rn-1, s, sr1, sr2, ..., srn-1}.

To create a group that necessitates at least n arrow types in its Cayley diagram, where n is any positive whole number, we can utilize the dihedral group Dn. The construction of this group involves the following steps:

Firstly, we draw a regular n-gon and label its vertices consecutively from 0 to n-1. Next, we establish the subgroup H of Dn, which is generated by the rotation r of order n and the reflection s of order 2. The elements comprising Dn can be expressed as follows:

Dn = {r0, r1, r2, ..., rn-1, s, sr1, sr2, ..., srn-1}

It should be noted that the Cayley diagram of the Dn group, with respect to H, mandates the presence of at least n arrow types.

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Answer:

30cm

Step-by-step explanation:

Given data

When are square is cut diagonally into two parts

The resulting shape is a triangle

hence the area of the square = 50+50 = 100cm^2

The length of each side of the square = √100= 10cm

likewise the diagonal of the square = 10cm

Hence the perimeter of the resulting triangle= 10+10+10= 30cm

Using the information provided in the table, The total holding cost is  $547.50, the total setup cost is $600 and the total cost is  $1,147.50.

To develop a POQ (Periodic Order Quantity) solution use a lot-for-lot solution, which means that we will order exactly what we need for each period.

The missing values can be found on the attached table.

From the table, the total holding cost which is the sum of the holding costs for all periods is $547.50 while the total setup cost which is the sum of the setup costs for all periods is $600.

Therefore, the total cost is the sum of the holding cost and the setup cost and it is calculated as $1,147.50.

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Answer: majic makes people foeat

Step-by-step explanation: i eat gatorade

Answer:

Pennywisee

Step-by-step explanation:

Answer:

5(z+4) + 5(2-z) =

5z + 20 + 10 -5z = 30