A rational expression is a fraction where at least one term is a polynomial of the form ax² + bx + c, where a, b and c are constant coefficients. Unlike rational exponents, a rational expression is an entire expression, not just a component.
Please look at the image
Answer:
[tex]n \leqslant 4[/tex]
Step-by-step explanation:
[tex] - 3n - 5 \geqslant - 17[/tex]
[tex] - 3n \geqslant - 12[/tex]
[tex] \frac{ - 3n}{ - 3} \leqslant \frac{ - 12}{ - 4} [/tex]
[tex]n \leqslant 4[/tex]
The complex plane is also known as what?
Dajuan is painting a mural on a rectangular
wall. The wall is 14.5 feet long and 10 feet
wide. So far, his mural covers 60% of the wall.
Dajuan will paint the remaining part of the wall
over the next four days. He will paint the same
amount of the wall, in square feet, on each of
those four days. How much of the wall, in
square feet, will Dajuan paint on each of the
next four days? Explain how you arrived at
your answer.
Answer:
Every day Dajuan will paint 14.5 square feet of the wall.
Step-by-step explanation:
Since Dajuan is painting a mural on a rectangular wall, which measures 14.5 feet long and 10 feet wide, and so far, his mural covers 60% of the wall, and Dajuan will paint the remaining part of the wall over the next four days, painting the same amount of the wall, in square feet, on each of those four days, to determine how much of the wall, in square feet, will Dajuan paint on each of the next four days, the following calculation must be performed:
((14.5 x 10) x 0.4) / 4 = X
(145 x 0.4) / 4 = X
58/4 = X
14.5 = X
Therefore, every day Dajuan will paint 14.5 square feet of the wall.
Jena has a small jewelry box in the shape of a cube with side lengths of two inches. How much greater is the volume of her large jewelry box with the dimensions 7 inches, 5 inches, and 4 inches?
Plz help no links please
Answer:
216 cubic inches
Jena's large jewelry box is 132 inches³ bigger than her small cube jewelry box.
What is a cube?
A cube is a three dimensional figure. All of it's sides are equal in length and all the planes of it are perfect square.
Given, length of the each side of Jena's small jewelry box = 2 inches.
Therefore, the volume of the small jewelry box is = 2³ inches³ = 8 inches³.
Again, length of the each side of Jena's small jewelry box are 7 inches, 5 inches, and 4 inches.
Therefore, the volume of the small jewelry box is = (7 × 5 × 4) inches³ = 140 inches³.
Hence, the difference = (140 - 8) inches³ = 132 inches³.
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Can you pls help me fast
The graph below shows the balance remaining on Jason's loan after he makes each payment. Jason's Loan Balance y 2,100 1,800 1,500 1,200 Balance Remaining (dollars) 900 600 300 0 1 2 3 4 5 6 7 8 9 10 11 12 Number of Payments Made Based on this graph, what will be the balance remaining on Jason's loan after he makes the 12th payment? A $750 B $150 C $450 D $300
Answer:
D $300
Step-by-step explanation:
I did a test with that question and got it correct
Answer:
D $300 Step-by-step explanation:
What is the inverse of the function g(x)=x^3/8+16
Answer:
The inverse of the function is [tex]f^{-1}(x) = \sqrt[3]{\frac{x-16}{8}}[/tex]
Step-by-step explanation:
Inverse of a function:
Suppose we have a function y = g(x). To find the inverse, we exchange the values of x and y, and then isolate y.
In this question:
[tex]y = \frac{x^3}{8} + 16[/tex]
Exchanging x and y:
[tex]x = \frac{y^3}{8} + 16[/tex]
[tex]\frac{y^3}{8} = x - 16[/tex]
[tex]y^3 = \frac{x-16}{8}[/tex]
[tex]y = \sqrt[3]{\frac{x-16}{8}}[/tex]
The inverse of the function is [tex]f^{-1}(x) = \sqrt[3]{\frac{x-16}{8}}[/tex]
Use the given information below to determine the value of x.
A. 121
B. 180
C. 59
D. 62
can someone help me in this question
PLZ HELP NO BAD ANSWERS!!
Multiple Choice
3.75 is the correct answer
In order to figure out the half-life, you divide to sample by 2. In order to find how many times to divide it you divide 15 by 3 and get 5. Therefore, you divide 120 by 2, 5 times and get 3.75
During the last week of the semester, students at a certain college spend on the average 4.2 hours using the school’s computer terminals with a standard deviation of 1.8 hours. For a random sample of 36 students at that college, find the probabilities that the average time spent using the computer terminals during the last week of the semester is a) At least 4.8 hours (Draw the bell curve) b)
Answer:
0.97725
Step-by-step explanation:
Given :
Population mean, μ = 4.2
Population standard deviation, σ = 1.8
Sample size, n = 36
Obtain the Zscore of x = 4.8
Zscore = (x - μ) ÷ (σ / √n)
Zscore = (4.8 - 4.2) ÷ (1.8 / √36)
Zscore = 0.6 ÷ 0.3
Z = 2
Hence,
P(Z ≤ 2)
Using the Z probability calculator :
P(Z ≤ 2) = 0.97725
HELP LOL!!
What is the independent variable?
Amplitude
Frequency
Tension
Density
Speed
6. What is the dependent variable?
Amplitude
Frequency
Tension
Density
Speed
7. What are the constants? (Choose 3)
Amplitude
Frequency
Tension
Density
Speed
Find the level of measurement (nominal, ordinal, interval, or ratio) and type quantitative or qualitative) for the following variable.
a. End-of-year stock classification (high yield, medium yield, or low yield)
b. Length (in feet) of a roll of plastic wrap advertised to be 30 feet long.
c. Temperature (in degrees Celsius)
d. Duration (in minutes) of a call to a customer support line
Answer:
a. Nominal and qualitative.
b. Ratio and quantitative.
c. Interval and quantitative.
d. Interval and quantitative.
Step-by-step explanation:
A level of measurement can be defined as a classification which is used to illustrate the attributes of the values assigned to variables. There are four (4) basic levels of measurement for a variable and these are;
1. Interval: data can be arranged in an ordering scheme and subtracting its differences is meaningful. Examples are year, temperature, time etc.
2. Ratio: data can be arranged in an ordering scheme and subtracting its differences is meaningful with respect to the value of true zero. Examples are height, price, weight, distance etc.
3. Ordinal: data can be arranged in an ordering scheme but subtracting its differences is meaningless or impossible. Examples are happy, sad etc.
4. Nominal: is characterized by data that are non-numerical, comprises of categories, labels or names and can't be arranged in an ordering scheme.
In this scenario, the level of measurement and data type are listed below;
a. End-of-year stock classification (high yield, medium yield, or low yield): the level of measurement is nominal because they are categorized. Also, the type of data is qualitative because it describes the quality of the stock and it's non-numerical in nature.
b. Length (in feet) of a roll of plastic wrap advertised to be 30 feet long: the level of measurement is a ratio because they can be arranged in order. Also, it's a quantitative data because it is numerical in nature.
c. Temperature (in degrees Celsius): the level of measurement is an interval because they can be arranged in order and the difference in value is meaningful. Also, the type of data is quantitative because it is numerical in nature.
d. Duration (in minutes) of a call to a customer support line: the level of measurement is an interval because they can be arranged in order and the difference in value is meaningful. Also, the type of data is quantitative because it is numerical in nature.
The most common railroad boxcars are 52 feet long, 9.5 feet wide, and 11 feet
tall. What is the volume, in cubic feet, of common railroad boxcars?
Answer:
Box volume ≈ 5,434 ft³
Step-by-step explanation:
Given: Railroad boxcars are 52 feet long, 9.5 feet wide, and 11 feet
To find: The volume, in cubic feet, of common railroad boxcars
Solution: To find the volume of a box, simply multiply the length, width, and height.
52 × 9.5 × 11 = 5434
Therefore, the volume, in cubic feet, of common railroad boxcars is 5,434 ft³
For dimensions that are relatively small whole numbers, calculating volume by hand is easy.
Helphelp help help help
Answer:
very difficult for me so ask someone
Allison drove home at 58 mph, but her brother Austin, who left at the same time, could drive at only 40 mph. When Allison arrived, Austin still had 90 miles to go. How far did
Allison drive?
......miles
Answer: 290 miles
Step-by-step explanation:
Given
Allison drove with a speed of 58 mph
Austin drove with a speed of 40 mph
If both start at the same time
suppose Allison takes t hours to reach the destination. So, the difference between the distance traveled in t hours is 90 miles
[tex]\Rightarrow 58t-40t=90\\\Rightarrow 18t=90\\\Rightarrow t=5\ hr[/tex]
Distance traveled by Allison is [tex]58\times 5=290\ miles[/tex]
CAN SOMEONE HELP ME WITH THIS 25 POINTS TY :)
Answer:
Hello!
Here are the coordinates and a picture example!
Original coordinates: -3, -5
New coordinates: 3, -5
Hope that helps!
only 30 minutes please help
Answer:
B, and i don't for the second one
Step-by-step explanation:
Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 proble
worth either 5 points or 2 points. Write a system of equations that can be used to find how ma
point value are on the test.
Let x be the number of questions worth 5 points and let y be the number of questions worth 2
x + y = 29, 5x + 2y = 100
O x + y = 100, 5x + 2y = 29
5x + y = 29, 2y + x = 100
2x + y = 100, 5y + x = 29
Answer:
A.
Step-by-step explanation:
x + y = 29, 5x +2y = 100
A manufacturer wants to inspect the absorption capacity of a new sponge. Based on past data, the average sponge could absorb 3.5 ounces. After the redesign, the absorption amounts of a sample of 10 sponges were (in ounces): 4.1, 3.7, 3.3, 3.5, 3.8, 3.9, 3.6, 3.8, 4.0, and 3.9. At a level of significance of 1%, would you claim that the new design is better than the old one?
Requried:
a. No because we don't reject the Null Hypothesis at Alpha = 0.01
b. Yes because we reject the Null hypothesis at Type 1 error = 1%
c. Yes because the cut-off is more than the sample mean
d. No because the cut-off is less than the sample mean
Answer:
c. Yes because the cut-off is more than the sample mean
Step-by-step explanation:
The null and alternate hypotheses are
H0 : u= 3.5 ounces vs Ha: u > 3.5 ounces
The mean and standard deviation of the sample are calculated to be 3.76 and 0.24
The test statistics is
t= x`- u/s√n
= 3.76-3.5/0.24/√10
= 0.26/0.07589
=3.426
The critical region for z test is z > ± 2.33
The critical region for t test is t > ± 2.82 for 9 d.f
For both the tests( z and t) the test statistic =3.426 lies in the critical region.
Hence we reject H0 and accept the hypothesis that the new design is better than the old one at a level of significance of 1%.
cut-off = mean + 3 times the standard deviation
= 3.76 + 3* 0.24
cut-off =4.48
Yes, the cut off is more than the sample mean.
So choice c is the best option.
PLEASE HELP 7TH GRADE MATH
BRAINLIEST-SHOWS WORK
PLEASE HELP
ANSWE 1 OR MORE AN WILL MARK BRAINLIEST 1 OR MORE
Answer:
Step-by-step explanation:
Number 5 is L because you have 18 coins but you only want to find the probability of the pennies. So take 3/18 and simplify to 1/6 by dividing both the numerator and the denominator by 3.
Number 6 can be (-6x - 3), just use the distributive property on the original expression.
Answer:
5. I.
6. -6x - 3
Step-by-step explanation:
For number five you add up all the coins, which equals 18. Secondly, you see how many pennies there are. There are 3 so the answer is 3/18. Then you simpy into 1/6.
For number six, you want to multiply 3 by -2x and then multiply 3 by -1. You will get the answer -6x -3. If you see a number outside the parenthesis then multiply by the number inside of it.
ANSWER FAST
.Give the value of a.
a - 15 = 21
Answer:
a=36
Step-by-step explanation:
a - 15 = 21
+15 +15
a = 36
Mike has 48 coins. 5/8 are dimes. How many dimes are there?
Answer:
30 dimes
Step-by-step explanation:
Multiply the number of coins by the fraction that are dimes to determine the number of dimes
48*5/8 =30
the length of a rectangle is 52 cm and its perimeter is 200 cm.what is the area of the rectangle
Answer:
2496 cm sq.
Step-by-step explanation:
Length equals 52cm and Perimeter is 200cm.
Area = Length x Breadth (or Width).
To find the area we have to first find the breadth.
2 x (Length + Breadth) = Perimeter.
Substituting what's given in the question, we get:-
2 x ( 52 + Breadth) = 200
52 + Breadth = [tex]\frac{200}{2}[/tex]
52 + Breadth = 100
Breadth = 100 - 52
Breadth = 48cm.
So, Area equals-------->
Length x Breadth
= 52 x 48
Area = 2496 cm sq.
Solve the problem.
If sin = 1/4, find csc .
A) 3/4
B) -1/4
C) 4
D) undefined
Answer:
C) 4
Step-by-step explanation:
By definition, cosecant (csc) is the reciprocal of sine (sin). The reciprocal of 1/4 is equal to C) 4.
An online vendor requires that customers select a password that is a sequence of upper-case letters, lower-case letters and digits. A valid password must be at least 10 characters long, and it must contain at least one character from each of the three sets of characters. What is the probability that a randomly selected string with exactly ten characters results in a valid password
Answer:
0.0283642
Step-by-step explanation:
Number of uppercase letters = 26
Number of lowercas = 26 alphabets = 10
Number of password characters = 10
Hence total number of passwords with exactly 10 characters (26 + 26 + 10) ^10 = 62^10 = 839299365868340224 passwords
Password with 10 strings, and having atleast one upper, lower and digit character :
26^1 * 26^1 * 10^1 * (26+26+10)^7 = 23806114737966080 (1 upper, lower and digit character, the remaining 7 could be any of them)
Probability = required outcome / Total possible outcomes
P(password with atleast 1 upper, lower and digit character) = 23806114737966080 / 839299365868340224
= 0.0283642
Write the equation in slope-intercept form:
3y = 2x +15
Answer:
y = 2/3x + 5
Step-by-step explanation:
Hope this helps! :)
In the question below, you can eliminate two answers quickly? Which two
can you ELIMINATE? Explain why.
Using the table below, calculate the average rate of change over the interval [-1, 1).
х
1
-2
-1
-1
-2
0
-1
у
2
CA. 4
с В.
-4
OC. -2
thing
D. 2
Answer:
2.
Step-by-step explanation:
I have the same thing as u. it's 2.
Sarah has a new puppy and she wants to maximize her outdoor time, so she builds her a fenced in play area. She has 40 feet of fencing, and she wants to fence off a rectangular area next to her house. The house will be one side of the play area, so that side needs no fencing. In order for the puppy to have adequate space, the area needs to be at least 5 feet long and5 feet wide. What is the largest area she could have? Is there a smallest area she could have if she wants to use all 40 feet of fencing?
Answer
Step-by-step explanation:
yes 20 feet long
The largest possible area for the play area would be 200 square feet when the width is 10 feet and the length is 20 feet. The smallest area she could have while using all 40 feet of fencing is 100 square feet.
To maximize the area of the play area, we can consider the dimensions that will allow for the largest possible rectangle. Let's denote the width of the play area as "w" (in feet) and the length as "l" (in feet).
Since one side of the play area is already taken care of by the house, we need to use the remaining 40 feet of fencing to enclose the other three sides.
We have two equal sides (width) and one side (length) that needs to be fenced.
Considering the given conditions:
The area needs to be at least 5 feet long and 5 feet wide.
The total length of the fencing is 40 feet.
Let's consider the possible scenarios:
Scenario 1: The width and length are both 5 feet.
In this case, the total length of the fencing required would be:
2 * 5 feet (width) + 5 feet (length) = 15 feet.
However, since we have 40 feet of fencing available, this scenario is not possible.
Scenario 2: The width is 10 feet, and the length is 20 feet.
In this case, the total length of the fencing required would be:
2 * 10 feet (width) + 20 feet (length) = 40 feet.
This scenario satisfies all the given conditions and uses all 40 feet of fencing. The area in this case would be:
Area = Width * Length = 10 feet * 20 feet = 200 square feet.
Therefore, the largest possible area for the play area would be 200 square feet when the width is 10 feet and the length is 20 feet.
As for the smallest area she could have while using all 40 feet of fencing, that would be when the play area is a square. Since all sides of a square are equal, the play area would be a square with sides of 10 feet each. The area in this case would be:
Area = Side * Side = 10 feet * 10 feet = 100 square feet.
So, the smallest area she could have while using all 40 feet of fencing is 100 square feet.
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