A number y satisfies y²⁴ - 256 = 0. What equation does the number x = y⁴ satisfy?

The provided remark indicates that option (D) is the appropriate choice. r + y = 1,032   1.25r + 0.75y = 979

Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3. The meaning of linear equations, the normal form for linear equations involving one element, two variables, or three variables, and instances of each will all be covered in detail in this essay.

Let r and y stand for the quantity of red and yellow passes sold, respectively.

We know that the total number of tickets sold was 1,032, so we can write the equation:

r + y = 1,032

We also know that the total sales was $979, and that the red tickets were $1.25 each and the yellow tickets were $0.75 each. Therefore, we can write the equation:

1.25r + 0.75y = 979

Therefore, the pair of linear equations that can be used to find the number of red tickets sold is:

r + y = 1,032

1.25r + 0.75y = 979

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The fact that multiple number of models of abnormality exist is caused by cultural and social values, cognitive bias, biological factors and limited research. Therefore, the answer is B. Cognitive bias.

The fact that multiple number of models of abnormality exist is caused by a variety of factors. Cultural and social values play a key role in influencing how mental health is viewed and understood. Biological factors, such as genetic predispositions and changes in the brain, can also contribute to psychological distress. Limited research on the subject has led to many different models of abnormality being developed, each with its own unique set of criteria for diagnosing mental health disorders. However, cognitive bias, or the tendency to think of certain behaviors and thoughts as abnormal, is not a major cause of the existence of multiple models of abnormality.

the complete question is :

according to the text, the fact that multiple models of abnormality exist is caused by all of these except:

A. Cultural and social values

B. Cognitive bias

C. Biological factors

D. Limited research

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Answer:

Step-by-step explanation:

a ) -3x

b ) x - 4

c ) 3

#103 (on request of kassy247):

six times a number is:

6x

added to -4, it becomes:

6x + (-4) = 6x - 4

THIS WHOLE THING is subtracted from TWICE the SUM OF 3 times number and 4

Breaking it apart,

sum of 3 times number and 4 means: 3x + 4

Twice of this would be: 2(3x+4)

Now, look above, the bold-underlined part. That is subtracted from what we got now, so we have:

This is the expression.

Answer:

1999

Step-by-step explanation:

In order to determine how many liters of water the container will have, calculate the volume of the container:

V = (10 m)(7 m)(5 m)

V = 350 m³

next, convert the previous volume to liters, by using the following convertion:

1 m³ = 1,000 L

then, you have:

V = 350 (1,000 L)

V = 350,000 L

Hence, 350,000 L is the amount of water the container will have when it is full

By using the facts given, 60.5 cm is 0.605 m or 0.605 meters.

Given: Convert 60.5 cm to meters

And the facts are as follows:

1000 milli-meters (mm) - 1 meter (m)

100 centimeters (cm) - 1 meter (m)

10 decimeters (dm) - 1 meter (m)

1 deka-meter (dam) -10 meters (m)

1 hectometer (hm) - 100 meters (m)

1 kilometer (km) - 1000 meters (m)

What is the length?

Length is the measurement of something from one point to another point.

Length can also be the distance between two points.

The shortest length between two times is known as displacement.

There are different ways to measure the length between two points or objects.

The SI unit of length is metered (m)

Also, kilometers or miles are used to measure large distances.

How to convert from centimeters (cm) to meters (m)?

1 meter or 1 m is equivalent to 100 centimeters or 100 cm. So let us apply the unitary method.

100 cm = 1 m

So 1 cm = 1 / 100 m

Therefore, x cm will be x / 100 m

Let’s solve the problem.

Given 60.5 cm to show in meters

So 100 cm = 1 m

1 cm = 1 / 100 m

60.5 cm = 60.5 / 100 m

60.5 cm = 0.605 m

Hence by using the facts given 60.5 cm is 0.605 m or 0.605 meters.

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The liters of 80% material is 2/3 liters.

The liters of the 50% solution is 1/3 liters.

Based on the information, the scientist is working with two different concentrations of hydrochloric acid (HCI).

Let x = volume of 80%

Let 1 -x =volume of 50%

Therefore, the expression to illustrate the information will be:

80x + 50 × (1 - x) = 70

80x + 50 - 50x = 70

30x = 70 - 50

30x = 20

Divide

x = 20/30

x = 2/3

Therefore there are 2/3 liters of 80% material

The liters for the 50% solution will be 2/3 subtracted from 1. The 2/3 implies that for the 80% material. This will be:

= 1 - 2/3

= 1/3

There are also 1/3 liters of 50% material.

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Answer:

Step-by-step explanation:

Ar of circle

A= 49π

B=100π

C=169π

D=121π

Ar of circle A is less than Ar of circle D

Answer:

-0.33333333333 in other word it o.3 with line over 3

Step-by-step explanation:

Given statement solution is :-  Box-and-whisker plot, the box represents the interquartile range (IQR), which is the range between Q1 and Q3 (13 to 18). The line inside the box represents the median (15). The whiskers (lines extending from the box) represent the minimum and maximum values (12 and 20).

To construct a box-and-whisker plot using the given data, you first need to find the minimum, maximum, median, and quartiles. Here are the steps to create the box-and-whisker plot for the given data set:

Sort the data in ascending order:

12, 12, 13, 14, 14, 15, 15, 15, 16, 16, 17, 18, 20

Find the median (middle value) of the data set. Since the data set has an odd number of values, the median will be the middle value:

Median = 15

Find the lower quartile (Q1), which is the median of the lower half of the data set.

Counting from the start, the lower half of the data set is:

12, 12, 13, 14, 14

Q1 = 13

Find the upper quartile (Q3), which is the median of the upper half of the data set.

Counting from the end, the upper half of the data set is:

17, 18, 20

Q3 = 18

Find the minimum and maximum values in the data set:

Minimum = 12

Maximum = 20

Now that we have the necessary values, we can construct the box-and-whisker plot:

lua

Copy code

       |                 |

 12  |      -------------|    

 13  |                 |

 14  |              ----  

 15  |           -------

 16  |      -------------|    

 17  |                 |

 18  |              ----  

 20  |                 |

       |_________________|

In this box-and-whisker plot, the box represents the interquartile range (IQR), which is the range between Q1 and Q3 (13 to 18). The line inside the box represents the median (15). The whiskers (lines extending from the box) represent the minimum and maximum values (12 and 20).

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Juliet will earn the same amount of money whether she chooses a monthly salary of ​$1900 from the company or a base salary of ​$1800 plus a ​5% commission on furniture sales if her sales amount to $2000.

To find the amount of sales for which the two salary choices are equal, we set the equation for the base salary plus commission equal to the equation for the flat monthly salary. The equation can be written as:

1800 + 0.05x = 1900

where x is the amount of furniture sales in dollars.

Simplifying and solving for x, we get:

0.05x = 100

x = 2000

If she sells less than $2000 of furniture, she will earn more with the flat monthly salary of $1900. If she sells more than $2000 of furniture, she will earn more with the base salary plus commission. This calculation provides an important decision-making tool for Juliet, as she can tailor her salary choice based on her expected sales for the month.

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Answer:

The formula for density (ρ) is:

Density (ρ) = Mass (m) / Volume (V)

Step-by-step explanation:

Where:

You failed to start the end points of the frequency polygon from a x-value of 0.

First of all, we would determine the midpoint of the data set as follows:

0 < t ≤ 5 = (0 + 5)/2 = 2.5.

5 < t ≤ 10 = (10 + 5)/2 = 7.5.

10 < t ≤ 15 = (10 + 15)/2 = 12.5.

15 < t ≤ 20 = (15 + 20)/2 = 17.5.

In order to draw a frequency polygon for the given data set, we would construct the frequency table as follows:

Time, t minutes                                      Frequency_

0 < t ≤ 5                                                        7

5 < t ≤ 10                                                       8

10 < t ≤ 15                                                      6

15 < t ≤ 20                                                     4

Finally, we would connect the end points of the data set on the frequency polygon by starting from a x-value of 0 as shown in the image attached below.

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Answer:

65

Step-by-step explanation:

The lines are parallell so m1 = m5, and m3=m8. 180-115 is 65

The missing fourth vertex needed to create a rectangle is (25, 3) option D.

Vertices (singular: vertex) are the corners or points where two or more lines, edges, or curves intersect and form an angle.

Here, the width of one side of the rectangle;

⇒ +3 - (-6) = 9 unit                (left side y-coordinates)

Similarly the length of the rectangle;

⇒ 25 - (-15) = 40 unit             (up-side x-coordinates)

Since a rectangular shape has two sets of equal sides of equivalent width (y-coordinates) and length (x-coordinates), we realize that the missing fourth vertex should be 9 units and 40 units over the point (25, -6). and (-15, 3)

So, we add 9 to the y-coordinate of (25, -6) and add 40 to the x-coordinate of (-15, 3) to get the missing vertex:

⇒ (25, -6+9) = (25, 3)

⇒ (-15+40, 3) = (25, 3)

Therefore, the missing fourth vertex is (25, 3)

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9514 1404 393

Answer:

  C. Division: (x^2-5x+3)÷(x-2)=x-3+-3/x-2

Step-by-step explanation:

The set of polynomials is closed under all basic arithmetic operations except division. The reciprocal of a (non-constant) polynomial is not a polynomial.

The division example shown in choice C illustrates the set is not closed under division.

Expensive cars draw more attention than cheaper cars is most likely to bias the results.

The capacity of expensive automobiles to provide a smooth ride or to filter out road irregularities so that the occupants may drive in the utmost comfort is typically associated with their plush ride quality.

The underlying engineering, including the suspension design, weight distribution, and wheel size, affects ride quality. The suspension in most low-cost vehicles is built to function well in most conditions.

Handling is the ease with which a vehicle must undergo quick or successive changes in directions without upsetting the driver. Handling depends on the chassis design and suspension design. Usually, handling is inversely proportional to ride quality, as great handling vehicles require a stiffer suspension.

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Answer:16x16

Step-by-step explanation:

Answer:

Ximena can use 1 gigabytes of data

Step-by-step explanation:

The first thing you want to do is subtract

51.10 - 44.50 =  5.6

5.6 is the amount of money she will have to spend on data

With each gigabyte costing 4 dollars and only 5 dollars to spend

she can only use one gigabyte

Answer:

11 minutes

Step-by-step explanation:

Answer: 11 minutes

Step-by-step explanation: You take 650 and divide it by 60, then round up, as 60 will not go into 650 evenly. Hope this helps!

The amount of water left in the tub after 5 minutes is; 24 gallons

The given recursive formula is expressed as;

aₙ = aₙ ₋ ₁ - 12

We are told that a₀ represents the amount of water left, in gallons, in a bathtub n after the drain stopper was pulled.

Thus, when n = 1, we have;

a₁ = a₁ ₋ ₁ - 12

a₁ = a₀ - 12

a₁ = 84 - 12

a₁ = 72

Then;

a₂ = a₁ - 12

a₂ = 72 - 12

a₂ = 60

It will seem that it follows a sequence pattern of;

aₙ = 84 - 12n

Thus;

a₅ = 84 - 12(5)

a₅ = 24 gallons

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Answer: i had this question in school , and it was C , because if you cut six in half its three

Step-by-step explanation:

Answer:

Step-by-step explanation:

(f/g) = (3 - 2x ) / (1/x + 5) You could go to the trouble to simplify all of this, but the easiest way is to just put in the 8 where you see an x

(f/g)8 = (3 - 2*8) / (1/8 + 5)

(f/g)/8 = (3 - 16 / (5 1/8)          1/8 = 0.125

(f/g) 8 = - 13 / ( 5.125)

(f/g)8 = - 2.54

a) There is a 60% probability that the boy picks up a blue pen and recognizes it as blue.

b) There is a 62.5% probability that the boy chooses a pen and thinks it is blue.

c) Given that the boy thinks he chose a blue pen, there is a 96% probability that he actually chose a blue pen.

What is probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.

The following probabilities are given -

A 75% probability that a pen is blue.

A 25% probability that a pen is green.

If a pen is blue, an 80% probability that the boy thinks it is a blue pen.

If a pen is blue, a 20% probability that the boy thinks it is a green pen.

If a pen is green, a 90% probability that the boy thinks it is a green pen.

If a pen is green, a 10% probability that that the boy thinks it is a blue pen.

a) The probability that the boy picks up a blue pen and recognizes it as blue.

There is a 75% probability that he picks up a blue pen.

There is a 80% probability that he recognizes a blue pen as blue.

So, the equation will be -

P = 0.75 × 0.8

P = 0.6

Therefore, there is a 60% probability.

b) The probability that the boy chooses a pen and thinks it is blue.

There is a 75% probability that he picks up a blue pen.

There is a 80% probability that he recognizes a blue pen as blue.

There is a 25% probability that he picks up a green pen

There is a 10% probability that he thinks a green pen is blue.

So, the equation will be -

P = (0.75 × 0.80) + (0.25 × 0.10)

P = 0.6 + 0.025

P = 0.625

Therefore, there is a 62.5% probability.

c) Given that he thinks he chose a blue pen, the probability that he actually chose a blue pen.

There is a 62.5% probability that he thinks that he choose a blue pen.

There is a 60% probability that he chooses a blue pen and think that it is blue.

So, the equation will be -

P = 0.6/0.625

P = 0.96

Therefore, there is a 96% probability.

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A boy has color blindness and has trouble distinguishing blue and green. There are 75 blue pens and 25 green pens mixed together in a box. Given that he picks up a blue pen, there is a 80% chance that he thinks it is a blue pen and a 20% chance that he thinks it is a green pen. Given that he picks a green pen, there is an 90% chance that he thinks it is a green pen and a 10% chance that he thinks it is a blue pen. Assume that the boy randomly selects one of the pens from the box.

a) What is the probability that he picks up a blue pen and recognizes it as blue?

b) What is the probability that he chooses a pen and thinks it is blue?

c) (Given that he thinks he chose a blue pen, what is the probability that he actually chose a blue pen?

Answer:

3.5 or 3 1/2

Step-by-step explanation:

2 + (3*1/2) = 3.5, which is equal to 3 1/2.

Answer:

Mixed fraction: 3  1/2

Improper fraction: 7/2

Step-by-step explanation:

2+3/2

1  1/2+2= 3  1/2

Answer:

1, 3, 9, 27

Step-by-step explanation:

Answer:

3*7

3*3*3

3^3

Step-by-step explanation:

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

Answer:

2:3

Step-by-step explanation:

3/5 women, that makes men 2/5, and total 5/5

men to women

2:3