The value of x as an improper fraction in its simplest form is 14/5.
To solve the inequality 5x - 4 < 10, we need to isolate x on one side of the inequality. First, we add 4 to both sides:
5x - 4 + 4 < 10 + 4
5x < 14
Then, we divide both sides by 5:
5x/5 < 14/5
x < 2.8
Therefore, the solution to the inequality is x < 2.8. However, the question asks for the answer as an improper fraction in its simplest form. To convert 2.8 to an improper fraction, we multiply both the numerator and denominator by 10 to get rid of the decimal:
2.8 * 10 / 1 * 10 = 28 / 10
To simplify the fraction, we divide both the numerator and denominator by their greatest common factor, which is 2:
28 / 10 = 14 / 5
Therefore, the answer is 14/5.
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ALGEBRA 1:
FIND THE PRODUCT OF THE FOLLOWING:
(x^2+2)(5x+1)
please somebody help me, if you’re correct i’ll give you an extra 50 points for helping. please do not use my question for points as i am failing and truly need help i’m so stressed lol.
writing 5a2b − 13ab 7a3 − 4b in polynomial decending order
For the given polynomial 5a²b-13ab+7a³-4b, the descending order is 7a³+5a²b-13ab-4b.
What is polynomial?Polynomials are sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer. For example, 3x+2x-5 is a polynomial. Polynomials are introduced. This video defines words such as degree, standard form, monomial, binomial, and trinomial. A polynomial is an expression made up of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division (No division operation by a variable).
Here,
The given polynomial is,
=5a²b-13ab+7a³-4b
The descending order,
=7a³+5a²b-13ab-4b
The descending order of polynomial is 7a³+5a²b-13ab-4b for the given polynomial 5a²b-13ab+7a³-4b.
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find the unknown marked angles
i give brainlest can somebdy pls help me
After evaluating the given fraction, the resultant answer is (C) 1¼.
What are fractions?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator. There are three main categories of fractions in mathematics. Proper fractions, incorrect fractions, and mixed fractions are these three types. The expressions with a numerator and a denominator are called fractions.So, 8 ÷ 6⅖:
Now, evaluate as follows
8 ÷ 6⅖8 ÷ 30+2/58 ÷ 32/58/1 × 5/325/4Which can also be written as 1¼.
Therefore, after evaluating the given fraction, the resultant answer is (C) 1¼.
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find the probability that the sample mean is greater than 0.45, but less than 0.65
To find the probability that the sample mean is greater than 0.45 but less than 0.650
we can use the formula below.z = (x - μ) / (σ / √n)Where z is the standard normal distribution value, x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.
Using this formula, we can standardize the sample mean and find the corresponding probability from the standard normal distribution table. For this problem, we are given that the sample mean falls between 0.45 and 0.65. Let's call this range X, where X = (0.45, 0.65). Then, we can write the main answer as P(0.45 < x < 0.65) = P((0.45 - μ) / (σ / √n) < z < (0.65 - μ) / (σ / √n))To find this probability, we need to know the population mean and standard deviation. If these are not given in the problem, we cannot find the exact probability.
However, we can make some conclusions based on certain assumptions. For example, if we assume that the population is normally distributed, we can use the central limit theorem to approximate the sample mean distribution as normal. Then, we can use the sample mean and sample standard deviation to estimate the population mean and standard deviation, respectively. From there, we can use the standard normal distribution table to find the corresponding probabilities. Therefore, without more information about the population distribution and parameters, we cannot find the exact probability that the sample mean is greater than 0.45 but less than 0.65. However, we can conclude that this probability will be between 0 and 1.
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The probability that the sample mean is greater than 0.45, but less than 0.65 is given as follows:
0.2.
What is the uniform probability distribution?It is a distribution with two bounds, given by a and b, in which each possible outcome is equally as likely.
The two bounds in this problem are given as follows:
a = 0, b = 1.
Hence the probability is calculated as follows:
(0.65 - 0.45)/(1 - 0) = 0.2.
Missing InformationThe sample means have an uniform distribution between 0 and 1.
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100 POINTSSS...just pls help and dont answer just for points...Which linear inequality is represented by the graph?
y Three-halvesx + 3
y > Two-thirdsx + 3
y < Three-halvesx + 3
Answer:
y > Two-thirdsx + 3
Step-by-step explanation:
Hope this helped!
Answer: is 2/3 i got this because rise over run is how we go so i started at the point (0,3) than went up 2 spaces than right 3 so overall the answer is 2/3. B
Step-by-step explanation:
i hope this helps if it does lmk and have a brilliant day :D with a smile of course
what is equivalent to 2x/x-7 - x+7/x
The formula 2x/(x-7) - (x+7)/x therefore equals (x² + 49) / (x × (x-7)).
What does an arithmetic the expression mean?Mathematical expressions consist of at least two integers or factors, a minimum of one math procedure, and a sentence. It's possible to multiply, divide, add, or remove with this mathematical procedure.
To simplify the expression 2x/(x-7) - (x+7)/x, we need to find a common denominator.
First, we can rewrite the second term as (x+7)/(x × 1), so the expression becomes:
2x/(x-7) - (x+7)/(x × 1)
To find a common denominator, we need to multiply the first term by x/x and the second term by (x-7)/(x-7):
2x × x / (x × (x-7)) - (x+7) × (x-7) / (x × (x-7))
Simplifying the expression further, we get:
(2x² - (x² - 49)) / (x × (x-7))
Simplifying the numerator, we get:
(2x² - x² + 49) / (x × (x-7))
And finally, we can simplify the expression to:
(x² + 49) / (x × (x-7))
Therefore, the expression 2x/(x-7) - (x+7)/x is equivalent to (x² + 49) / (x × (x-7)).
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Answer:
\(\frac{x^{2}+49 }{x(x-7)}\)
Step-by-step explanation:
PLEASE HELP ON THIS ONE
On average, Ethan drinks 3/4 of an 10 ounce glass of water in 2 minutes how many glasses of water does he drink in one hour
Answer:
22.5 glasses of water
Step-by-step explanation:
Because 3/4 of 10 is 7.5 and if he drinks that every 2 min you have to multiple 7.5 by 30 because 60/2 is 30 which is the amount of min in an hour. when you multiple, you get 225. you have to divide that many oz by 10 because that is how many oz are in a glass and you get 22.5 glasses.
Does this table represent a function? why or why not?
Yes, because every x-value corresponds to exactly one y-value.
==================================================
Further explanation:
If the table had two points such as (10,1250) and (10,1300), then it would lead to "not a function" because x = 10 corresponds to more than one y value.
Instead, each x input leads to exactly one y output. Therefore, we have a function. You can use the vertical line test to confirm visually.
-----------
In short,
If x values repeat ---> not a functionIf x values don't repeat ---> we have a functionThe y values can repeat, but the function wouldn't be one-to-one (aka injective). In this case, the y values do not repeat so this function is one-to-one.
subtract 5 hours 10 minutes-3 hours 25 minutes
Answer:
105 minutes/ 1 hour 45 minutes
Step-by-step explanation:
5 hours 10 minutes= 310 minutes
3 hours 25 minutes=205 minutes
310-205=105 minutes=1 hour 45 minutes
Hope this helps! Plz give brainliest!!
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations y=e 5x +e −5x ,y=0,x=−1 and x=2 about the x-axis. Round your answer to four decimal places. 19.4241 25.2685 21.9732 29.8786 39.2520
The volume of the solid can be found by integrating the expression V = ∫(2πx)(2e^(5x))dx from x = -1 to x = 2. Evaluating this integral will give us the volume of the solid.
To find the volume of the solid generated by revolving the region bounded by the given equations about the x-axis, we can use the method of cylindrical shells.
By integrating the appropriate formula, we can calculate the volume of the solid.
The region bounded by the graphs of the equations y = e^(5x) + e^(-5x), y = 0, x = -1, and x = 2 is a finite region between the x-axis and the curve. When this region is revolved about the x-axis, it creates a solid with a cylindrical shape. To find its volume, we integrate the formula for the volume of a cylindrical shell over the appropriate range.
The volume V can be calculated as V = ∫(2πx)(y)dx, where y represents the height of the cylindrical shell at each x-value. By evaluating this integral with the given equations and limits, we can find the volume of the solid.
To solve the problem, we first need to express the equation y = e^(5x) + e^(-5x) in terms of x. Notice that the equation is symmetric, so we can rewrite it as y = 2e^(5x). The region bounded by the curves y = 0, x = -1, and x = 2 will have a height of 2e^(5x) and a width of dx.
Therefore, the volume of the solid can be found by integrating the expression V = ∫(2πx)(2e^(5x))dx from x = -1 to x = 2. Evaluating this integral will give us the volume of the solid.
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La sociedad de ex alumnos de una escuela organizó el año pasado una posada a la que asistieron 420 personas. A la posada de este año asistieron 567: ¿En qué porcentaje aumentó la asistencia?
Answer:
??? english
Step-by-step explanation:
Pls help it due ASAP hdhdhd
The density of a certain material is such that it weighs 4 kilograms per cup of volume. Express this density in pounds per liter. Round your answer to the nearest tenth. *Note: you must use these exact conversion factors to get this question right. Weight / mass 1 pound (b) = 16 ounces (oz) 1 ton (ton) = 2000 pounds (lb) 1 gram (g) = 1000 milligrams (mg) 1 kilogram (kg) = 1000 grams (B) 1ounce (oz) = 28.35 grams (g) Volume 1 cup (cup) = 8 fluid ounces (l oz) 1 pint (pt) = 2 cups (cups) 1quart (qt) = 2 pints (pt) 1 gallon (gal) = 4 quarts (qt) 1 cubic foot (ft) = 7.481 gallons (gal) 1 pound (lb) = 0.454 kilograms (kg) 1 líter (L) = 1000 milliliters (mL) 1 cubic meter (m) = 100o liters (L) 1 gallon (gal) = 3.785 liters (L) 1 fluid ounce (1 oz) = 29.574 milliliters (mL)
The density of this certain material is 37.2 pounds per liter.
What is density?In Science and Mathematics, the density of a chemical or physical substance such as a material can be calculated by using the following formula:
Density = M/V
Where:
M represents the mass of a chemical substance or physical object.V represents the volume of a physical substance or object.Conversion:
1 kg equals 2.20462 pounds
1 cup of volume equals 0.237 liter.
Density, d = (4 × 2.20462)/0.237
Density, d = 37.15 ≈ 37.2 pounds per liter.
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how would this two triangles be called
The triangles ΔUST and ΔVRQ are congruent to each other by the SSS postulates.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
In triangles ΔUST and ΔVRQ, then we have
TU = QV (Given)
ST = QR (Given)
UV = SR
Add RU on both sides, then we have
UV + RU = SR + RU
RV = SU
The triangles ΔUST and ΔVRQ are congruent to each other by the SSS postulates.
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After Take Two began renting DVDs at their video store, business soared. Between 2005 and 2010, profits increased at an average rate of $9000 per year. Total profits in 2010 were $45,000. If profits continue to increase at the same rate, what will the total profit be in 2014? a. $81,000 b. $36,000 c. $49,000 d. $90,000
Answer: PROFITS After Take Two began renting DVDs at their video store, business soared. Between 2000 and 2005, profits increased at an average rate of $9,000 per year. Total profits in 2005 were $45,000. If profits continue to increase at the same rate, what will the total profit be in ...
if n is greater than 30 or if the original population is normally distributed, what is the approximate shape of the sampling distribution of the sample mean?
If the sample size (n) is greater than 30 or if the original population is normally distributed, then the central limit theorem (CLT) can be applied. The CLT states that the sampling distribution of the sample mean will be approximately normal, regardless of the shape of the original population distribution, as long as the sample size is sufficiently large.
The sampling distribution of the sample mean refers to the distribution of all possible sample means that could be obtained from repeated sampling from the same population. The shape of the sampling distribution of the sample mean depends on the sample size and the shape of the original population distribution.
When the sample size is greater than 30, the standard error of the sample mean decreases and the distribution of sample means becomes more concentrated around the population mean. This allows the sampling distribution of the sample mean to approximate a normal distribution, even if the original population distribution is not normal.
Similarly, if the original population is normally distributed, then the sampling distribution of the sample mean will also be normal regardless of the sample size. This is because the normal distribution is preserved through the process of taking means from random samples.
In summary, when the sample size is greater than 30 or the original population is normally distributed, the sampling distribution of the sample mean will be approximately normal. This property is important in statistical inference, as it allows us to use the normal distribution to make inferences about population parameters based on sample statistics.
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What is the slope of the line that passes through the points ( 5 , − 10 ) (5,−10) and ( 11 , − 12 ) ? (11,−12)? Write your answer in simplest form.
The slope of the line that passes through (5,−10) and ( 11 , − 12 ), in simplest form is: -1/3
Recall:
The slope of a line passing across through two points can be calculated using: \(m = \frac{y_2 - y_1}{x_2 - x_1}\)Given two points:
(5,−10) and ( 11 , − 12 )
Let,\((5,-10) = (x_1, y_1)\\\\( 11 , - 12) = (x_2, y_2)\)
Substitute\(m = \frac{-12 - (-10)}{11 - 5}\)
Slope (m) = -2/6
Slope (m) = -1/3
Therefore the slope of the line that passes through (5,−10) and ( 11 , − 12 ), in simplest form is: -1/3
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What is the next term on 45__31,24,17
Casandra rents a life jacket for a one-time fee of $5. she then rents a boat for $25 per day. write an expression represents the total cost, in dollars, to rent the life jacket and the boat for d days.
Answer:
it would be something along the lines of. 5+25d =c
Add x2 + 4 x2y -7xy +3 and x2y + x y + 9
Answer:
x²+5x²y-6xy+12Step-by-step explanation:
to understand thisyou need to know about:algebraPEMDASgiven:x²+4x²y-7xy+3+x²y+xy+9let's solve:rewrite:x²+4x²y+x²y-7xy+xy+9+3combine like terms:x²+5x²y-6xy+12marking brainliest for best answer and extra points
Answer:
B
Step-by-step explanation:
Answer:
B i think
Step-by-step explanation:
In a positively skewed distribution, what order (left to right) will we find the mean, median and more
So the order from left to right would be: Mode, Median, Mean.
In a positively skewed distribution, the mean is typically larger than the median, and the median is larger than the mode.
This can be illustrated in the following way:
Mean: The mean is affected by extreme values in the tail of the distribution, and will be pulled in the direction of the skew. Therefore, in a positively skewed distribution, the mean will be to the right of the median.
Median: The median is the value that separates the lower 50% of the data from the upper 50% of the data. In a positively skewed distribution, the tail of the distribution is on the right-hand side, which means that the median will be closer to the left-hand side than the mean.
Mode: The mode is the most frequent value in the distribution. In a positively skewed distribution, the mode will be the smallest value, located at the left-hand side of the distribution, while the mean and median will be to the right of it.
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will give brain for right answer
Answer:
luna
Step-by-step explanation:
compare the y values when x=0. looking at the table, gracey was 1 lb at week 0, and looking at the graph, Luna was 2 lbs at week 0 (y-intercept) so luna was heavier at birth
Air is being pumped into a spherical balloon at the rate of 7 cm³/sec. What is the rate of change of the radius at the instant the volume equals 36n cm³ ? The volume of the sphere 47 [7] of radius r is ³.
the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.
The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.
We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)
7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³
36 = (4/3)r³
27 = r³
r = 3 Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)
(dr/dt) = 7 / (4π(9))
(dr/dt) = 7 / (36π)
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12x+3=y solve for x HELP
Answer:
x= 1/12y - 1/4
Step-by-step explanation:
12x + 3 = y
12x = y -3
x= 1/12y - 1/4
x=1/12y - 1/4
Applied (Word) Problems NoteSheet
Consecutive Integers
Consecutive numbers (or more properly, consecutive integers) are integers nrand ngsuch that
/h - nl = I, i.e., IJlfollows immediately after 17,.
Given two consecutive numbers, one must be even and one must be odd. Since the sum of an
even number and an odd number is always odd, the sum of two consecutive numbers (and, in
fact, of any number of consecutive numbers) is always odd.
Consecutive integers are integers that follow each other in order. They have a difference of 1
between every two numbers.
If n is an integer, then n, n+1, and n+2 wi II be consecutive integers.
Examples:
1,2,3,4,5
-3,-2,-1,0,1,2
1004, 1005, 1006
The concept of consecutive integers is explained as follows:
Consecutive numbers, or consecutive integers, are integers that follow each other in order. The difference between any two consecutive numbers is always 1. For example, the consecutive numbers starting from 1 would be 1, 2, 3, 4, 5, and so on. Similarly, the consecutive numbers starting from -3 would be -3, -2, -1, 0, 1, 2, and so on.
It is important to note that if we have a consecutive sequence of integers, one number will be even, and the next number will be odd. This is because the parity (evenness or oddness) alternates as we move through consecutive integers.
Furthermore, the sum of two consecutive numbers (and, in fact, the sum of any number of consecutive numbers) is always an odd number. This is because when we add an even number to an odd number, the result is always an odd number.
To generate a sequence of consecutive integers, we can start with any integer n and then use n, n+1, n+2, and so on to obtain consecutive integers. For example, if n is an integer, then n, n+1, and n+2 will be consecutive integers.
Here are some examples of consecutive integers:
- Starting from 1: 1, 2, 3, 4, 5, ...
- Starting from -3: -3, -2, -1, 0, 1, 2, ...
- Starting from 1004: 1004, 1005, 1006, 1007, ...
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The cafeteria sold 6 more turkey sandwiches than ham sandwiches. They sold 16 sandwiches in all. How many ham sandwiches did the cafeteria sell?
Answer:
5 ham sandwiches
Step-by-step explanation:
To find the number of ham sandwiches sold, we should find the pair of numbers that have a difference of 6 and add to 16.
1 ham sandwich, 7 turkey sandwiches = 8 sandwiches2 ham sandwiches, 8 turkey sandwiches = 10 sandwiches3 ham sandwiches, 9 turkey sandwiches = 12 sandwiches4 ham sandwiches, 10 turkey sandwiches = 14 sandwiches5 ham sandwiches, 11 turkey sandwiches = 16 sandwichesWhile this method isn't always very efficient, it worked pretty well for this case!
Therefore, the answer is 5 ham sandwiches.
Answer:
5
Step-by-step explanation:
11 and 5 have a 6 number gap between them 5 plus 11 gets you 16
pansexual is bisexual is every steps smh
Answer:
Bisexual is when you like boys and girls and pansexual is when you like non-binary, boys, girls, and gender fluid
Step-by-step explanation:
Answer:
true///its just that pans are into all genders while bi are into the 2 main gender spectrum
if that makes sense
4 1/3 - 3 4/9 aswer pla ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
Answer:
8/9
Step-by-step explanation:
Step 1: Convert both 4 1/3 and 3 4/9 to improper fractions:
Both 4 1/3 and 3 4/8 are mixed numbers with a whole number (4 and 3) and a fraction (1/3 and 4/9). We can convert them to improper fractions by making a new fraction where the numerator is the product of the whole number and the denominator. We add the original numerator to that product and keep the original denominator.Converting 4 1/3 to an improper fraction:
For 4 1/3, we'll mutiply 4 by 3, add 1 to that, and keep 3 as the denominator:
((4 * 3) + 1) / 3
((12 + 1) / 3
13/3
Thus, 4 1/3 as an improper fraction is 13/3.
Converting 3 4/9 to an improper fraction:
For 3 4/9, we'll multiply 3 by 9, add 4 to that, and keep 9 as the denominator:
((3 * 9) + 4) / 9
(27 + 4) / 9
31/9
Thus, 3 4/9 as an improper fraction is 31/9.
Finding the difference of 13/3 and 31/9:
Since 4 1/3 is equivalent to 13/3 and 3 4/9 is equivalent to 31/9, our new equation is 13/3 - 31/9.We can subtract straight across by giving the fractions the same denominator.We see that one denominator is 3 and the other is 9Since 9 is a multiple of 3, we can make 13/3 out of 9 by multiplying the entire fraction by 3/3:(13/3) * (3/3) = 39/9
Now, we simply subtract 31/9 from 39/9:
39/9 - 31/9
8/9
Thus, 4 1/3 - 3 4/9 = 8/9.