Answer:
x^3+8
Step-by-step explanation:
(x+2)(x^2-2x+4)
x^3-2x^2+4x+2x^2-4x+8
x^3+8
what is the simplified form of the following expression 6xyz/2xz
he short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than an unknown number of inches.
If the perimeter of the rectangle is 22 inches, what is the value of the unknown number?
a0 inches
In what quadrant on the coordinate plane is the point (5,-2) located?
True or False. The Electromagnetic Spectrum can be described in terms of wave energy, frequency, and wavelength.
Question 3 options:
True because energy, frequency, and wavelength are all properties of sound, and sound is an electromagnetic wave.
False because the electromagnetic spectrum is about radiation, not waves.
True because the electromagnetic spectrum is ordered based on wave energy, which is described on a wave as wavelength and frequency.
False because energy, wavelength, and frequency are only characteristics of mechanical waves.
The math test scores of Mrs. Hunter's class are shown below. 48, 56, 68, 72, 72, 78, 78, 80, 82, 84, 88, 88, 88, 90, 94, 98, 100 What is the range of the scores?
Adam’s car traveled 465.3 miles on 16.5 gallons of gas. Which equation can be used to determine the average number of miles that the car traveled on each gallon of gas?
Answer:
[tex]y=28.5x[/tex]
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
In this problem
Let
x------> the number of gallons
y------> the number of miles
the relationship between the number of miles and the gallons of gas represent a linear direct variation
The constant of proportionality k is equal to the slope m
[tex]m=\frac{465.3}{16.5}= 28.2\frac{miles}{gallon}[/tex]
therefore
the equation of the linear equation
[tex]y=28.5x[/tex]
write an inequality for
A maximum ceiling height of 8 feet was required in the new buildings
The inequality for a maximum ceiling height of 8 feet in new buildings is expressed as h <= 8, where h is the height in feet.
To represent the maximum ceiling height of 8 feet as an inequality, we use the following expression: h <= 8, where h represents the height of a building's ceiling in feet. This inequality states that the ceiling height must be less than or equal to 8 feet to comply with the regulations for new buildings.
What is the value of 2+3n n=1/2
UESTION 6
A researcher randomly surveyed seniors at a high school and asked how many books they read in the past year. The table shows the results.
Missing Metadata
Which statement is true?
Statement 1 is true: the majority of seniors read between 0 and 5 books. Statement 2 is false: the average number of books read is around 6-7, not between 10 and 11. Statement 3 is true: more seniors read 11-15 books than 16-20 books.
To determine which statement is true, let's first analyze the data provided in the table. Since the table isn't available, I'll make some assumptions to guide us through the explanation. Let's say the table looks like this:
Number of Books Read Number of Seniors
0-5 20
6-10 15
11-15 10
16-20 5
Now, we'll examine each statement to see if it aligns with the data:
"The majority of seniors read between 0 and 5 books in the past year."
This statement is true if the number of seniors who read 0-5 books is greater than the total number of seniors who read in other ranges. In this case, 20 seniors read 0-5 books, which is the highest count among all ranges. So, this statement is true.
"The average number of books read by seniors is between 10 and 11."
To find the average, we multiply the midpoint of each range by the number of seniors in that range, sum them up, and then divide by the total number of seniors. Doing the calculation, the average comes out to around 6-7 books, not 10-11. So, this statement is false.
"More seniors read 11-15 books than 16-20 books."
To verify this, we check the counts for each range. If the count for 11-15 books is greater than the count for 16-20 books, the statement is true. In this case, if 10 seniors read 11-15 books and 5 seniors read 16-20 books, the statement is true.
Based on this analysis, statements 1 and 3 are true, while statement 2 is false.
complete question=
Which statement is true regarding the survey conducted by a researcher who randomly surveyed seniors at a high school and asked about the number of books they read in the past year, as depicted in the provided table?
What do absolute values and temperatures on the Kelvin scale have in common?
I dont know why math incudes science
Absolute values in mathematics and Kelvin temperatures both provide 'absolute' measurements, with absolute value indicating distance from zero and the Kelvin scale starting at absolute zero, the theoretical absence of kinetic energy.
Explanation:Both absolute values in mathematics and temperatures on the Kelvin scale represent 'absolute' measurements in their respective fields. In mathematics, the absolute value indicates the distance of a number from zero on the number line, irrespective of direction. Similarly, the Kelvin scale is used in physics and deals with the absolute temperature, where 0 K (absolute zero) represents a theoretical state where particles possess minimal vibrational motion, implying no kinetic energy.
The Kelvin scale is important in scientific work because it starts at this absolute zero point. Therefore, it allows for the measurement of true thermal energy. The Kelvin scale is similar to the Celsius scale in that the size of its degree is the same, but the Kelvin scale does not start at the freezing point of water. Instead, it starts at absolute zero, making it a true absolute scale that measures the fundamental property of temperature.
Suppose that the cost of drilling x feet for an oil well is C=f(x) dollars. a) What are the units of f'(x)? b) In practical terms, what does f'(x) mean in this case? c) What can you say about the sign of f'(x)? d)Estimate the cost of drilling an additional foot, starting at a depth of 300 ft, given that f'(300)=1000.
The solution according to the given question is provided below in the explanation segment.
According to the question,
The cost of drilling x feet is:
[tex]c(x) = f(x) \ dollars[/tex]
(a) [tex]f'(x) = \frac{df(x)}{dx} \ \frac{dollars}{feet}[/tex]
(b) Throughout the practical terms,
[tex]f'(x)[/tex] represents how many dollars its going to cost one feet.
(c) [tex]f'(x)[/tex] is positive,
The cost of drilling increases as "x" feet increases.
(d) The cost of drilling an additional foot at 300 feet will be [tex]f'(x) \Delta \ x[/tex]
here,
[tex]\Delta x =0[/tex][tex]f'(300) =1000[/tex]then,
= [tex]1000\times 1[/tex]
= [tex]1000 \ dollars[/tex]
If you want drill 1 more feet at 300 feet, its going to cost 100 dollars in one.
Thus the above answer is correct.
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If 3p+4q=8 and 4p+3q=13, what is q equal to?
How do you solve number 3?
amanda arranged 5 baskets of flowers. she finished at 4:10pm it took her 20 mins to arrange each basket of flowers. at what time did amanda begin
What is the first quartile of the data displayed in this box-and-whisker plot?
143.0
113.0
99.5
43.5
Answer:
The answer is 99.5 for future people!
Step-by-step explanation:
If the m<7 = 115 degrees, find the measure of <2
Answer:
The measure of [tex]\angle 2[/tex] is 115°.Step-by-step explanation:
Now, assuming those angles are supplementary, then
[tex]m\angle 7+ m \angle 2=180\°[/tex]
Beacuse, sumplementary angles sum 180\°, due to their position on a straight angle.
We know by given that [tex]m \angle 7 =115\°[/tex], replacing this value, we have
[tex]115\°+ m\angle 2= 180\°\\m \angle 2=180\° - 115\°\\m \angle 2= 65\°[/tex]
Therefore, the measure of [tex]\angle 2[/tex] is 115°.
The measure of m<7 is equal to the measure of m<2 by alternate exterior angle. The measure of <2 is 115 degrees.
What are the angles formed by the transverse line cut by the transversal?Angles formed by the transverse line cut by the transversal-
Corresponding angle- Corresponding angle keeps the same position on two different parallel line when cut by transverse. Alternate interior angle- This angle made inside the parallel lines cut by the transversal.Alternate exterior angle- This angle made outside the parallel lines cut by the transversal.Supplementary angle- Angle which made on the same line. The sum of the supplementary angle is equal to the 180 degrees.Given information-
Two parallel lines are shown in the given image (attached below).
Here the measure of angle of 7 is 115 degrees.
The angle 5 is the supplementary angle of the angle 7. Thus,
[tex]\angle 5+\angle 7 =180\\\angle 5+115=180\\\angle 5=180-115\\\angle 5=65[/tex]
Thus the measure of angle 5 is 65 degrees.
Now again the angle 5 is the supplementary angle of the angle 3. Thus,
[tex]\angle 3+\angle 5 =180\\\angle 3+65=180\\\angle 3=180-65\\\angle 3=115[/tex]
Thus the measure of angle 3 is 115 degrees.
The angle 3 and the angle 2 cuts by the same line at the opposite side. Thus, angle 3 is equal to the angle 2.
Hence. the measure of angle 2 is 115 degrees.
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A freight train is half a mile long. it travels at a speed of 60 mph. it comes to a tunnel that is 1 mile long. how long will it take the train to pass completely through
Would you just subtract the numerators like normal? Like 7-5 the answer would be 2/9
Julie uses crystals to make a bracelet. The lengths are; 1/2 , 5/8 , 3/4 , 1/2, 3/8, 1/2, 3/4, 3/8, 5/8, 1/2, 3/8, 5/8, 3/4.
6.What is the combined length of the 1/2-in. crystals? ________
7.What is the combined length of the 5/8-in.crystals? ________
8.What is the total length of all the crystals in the bracelet?________
What is the average length of each crystal in the bracelet?________
Please explain as much as possible. I have a quiz tomorrow and I need to pass it.
John and Matt are going to fill a pool with 2 different sized hoses. John can fill the pool in 5 hours, while Matt can complete it in 10 hours. Explain each step in solving this equation. (10 points)
Organize the following expressions from greatest to least by number of terms:
I. x + 2xyz
II. 3x + y + z
III. 2x2y + x2 − 3x + 4
IV. 9x2yz
Answer:
[tex]2x^2y + x^2 - 3x + 4~ (4)>3x + y + z ~(3)>x + 2xyz ~(2)>9x^2yz~ (1)[/tex]
Step-by-step explanation:
We are given expressions in the question.
Term in an expression:
Each expression constitute terms.A term can be a number, a variable, or a constant multiplied by a variable or variables.Each term in an algebraic expression is separated by a + sign or - sign.We need to find the number of terms in each expression:
1)
[tex]x + 2xyz\\\text{Number of terms}= 2[/tex]
2)
[tex] 3x + y + z\\\text{Number of terms}= 3[/tex]
3)
[tex]2x^2y + x^2 - 3x + 4\\\text{Number of terms} = 4[/tex]
4)
[tex]9x^2yz\\\text{Number of terms} = 1[/tex]
Arranged from greatest to least by number of terms:
[tex]2x^2y + x^2 - 3x + 4~ (4)>3x + y + z ~(3)>x + 2xyz ~(2)>9x^2yz~ (1)[/tex]
What is 90,175,087,309 in expanded form
A rectangular prism measuring 10m and 7m along the base and 12m tall
A rectangular prism measuring 10m and 7m along the base and 12m tall.
The volume of the rectangular prism is 840 cubic meters.
How to find the volume of a right rectangular prism?Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:
[tex]V = a\times b \times c \: \: unit^3[/tex]
A rectangular prism measuring 10m and 7m along the base and 12m tall.
a = 10
b = 7
c = 12
The volume of the rectangular prism
= 10 x 7 x 12
= 840
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what is the value of x?
X=?
At a healthy foods store in Belleville, organic sugar used to retail for $4 per pound. The price was recently increased to $5 per pound. What is the percent of increase in the price of this item?
Final answer:
The price of organic sugar at the Belleville store increased from $4 to $5 per pound, which is a 25% increase in price.
Explanation:
The percent of increase in the price of organic sugar from $4 to $5 per pound can be calculated through a few steps. To determine the percentage increase, you subtract the old value from the new value, then divide the result by the old value. Finally, you multiply by 100 to convert it into a percentage.
Here is the step-by-step calculation:
Determine the increase in price: $5 - $4 = $1.
Divide the increase by the original price: $1 ÷ $4 = 0.25.
Multiply by 100 to get the percentage: 0.25 × 100 = 25%.
Therefore, the price of organic sugar increased by 25%.
The price of organic sugar at a healthy foods store in Belleville was recently increased from $4 per pound to $5 per pound. The percent of increase in the price of this item is 25%.
Explanation:To find the percent of increase in the price of the organic sugar, we can use the formula:
Percent increase = ((new price - old price) / old price) * 100
First, let's calculate the percent increase:
Percent increase = (($5 - $4) / $4) * 100 = (1 / 4) * 100 = 25%
Therefore, the percent of increase in the price of organic sugar is 25%.
What is the height of the 8 stacks
Find the product of (x + 7)2.
x2 − 14x + 49
x2 + 14x + 49
x2 − 49
x2 + 49
What is the wavelength for radio waves with frequency 3 × 109?
Answer:
1 x 10^-1m or A on edge
Step-by-step explanation:
just took the test
PLEASE HELP ME!!! Can anyone tell me an easy, step by step way to figure out if a trinomial is a perfect square or not? I have a test tomorrow. Do it like step 1, step 2, ect.
How far did Clara walk after getting off the bus? 2 1/2 miles, 1/4 miles, and 1 3/4 miles