Answer:
p(x) = 5x + 20
Step-by-step explanation:
11x - 6x + 20
5x + 20
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
ishaan is 21
chris is 7
Step-by-step explanation:
Subs 3C from (1) for I in(2):
3C = C + 14 —> C = 7, I = 21
if 40 is increased to 56 what is the percent of change
Answer:
40% more.
Step-by-step explanation:
40% of 40 is 16. 40+16 is 56
Answer: 71%
Step-by-step explanation: 40/56*100
b. 48
C. 36
5. (x+4), (x+12), (x-1) and (x+5) are in proportion. Find the value of x.
b. 12
a. 15
c. 16
d., 20
Answer:
c
Step-by-step explanation:
Expressing the proportion in fractional form , that is
\(\frac{x+4}{x+12}\) = \(\frac{x-1}{x+5}\) ( cross- multiply )
(x + 4)(x + 5) = (x + 12)(x - 1) ← expand both sides using FOIL
x² + 9x + 20 = x² + 11x - 12 ← subtract x² + 9x from both sides
20 = 2x - 12 ( add 12 to both sides )
32 = 2x ( divide both sides by 2 )
16 = x → c
hi pls help me out with this
Help Me with IXL, Please
Answer:
k = 132 is a solution
Step-by-step explanation:
\(\frac{k}{2}\) ≥ 47 ( multiply both sides by 2 to clear the fraction )
k ≥ 94
the only value greater than 94 is k = 132
i'm really confused on this, anything will help
Answer:
I think its 1200 not sure though
Answer:
1,200
Step-by-step explanation:
first you would divide 480 copies by 4 minutes to see how many copies per minute (120) Then you would take 120 copies per minute and multiply it by the 10 and you would get 1200 copies per 10 minutes! lmk if that helps:)
Alaina has scores of 72, 82, 83, and 89 on her math tests. Use a compound inequality to find the range of scores she can make on her final exam to receive a C in the course. The final exam counts as two tests
The compound inequality to find the range of scores she can make on her final exam to receive a C will be 44.5 ≥ x ≥ 71.5
How to compute the inequality?Based on the information, the inequality will be:
70 ≥ (73 + 83 + 85 + 90 + 2x) / 6 ≥ 79
70 ≥ (331 + 2x) / 6 ≥ 79
420 ≥ 331 + 2x ≥ 474
89 ≥ 2x ≥ 143
44.5 ≥ x ≥ 71.5
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Alaina has scores of 73,83,85,90 on her math tests. Use a compound inequality to find the range of scores she can make on her final exam to receive a C in the course. The final exam counts as two tests, and a C is received if the final course average is from 70 to 79
True or false ? Is f(x) a function
Answer:
true
Step-by-step explanation:
What is the sum in this equation?
The sum of roots in the given equation is (2 - √3). The correct answer would be an option (A) (2 - √3).
What is the sum of the equation?A sum of a quadratic equation is a number that can be evaluated for the variable to provide a true number statement.
For an equation of the form ax² + bx + c = 0, the sum of root for x is given by:
α + β = -b/a
The given equation is:
(2 - √3)x² - (7 - 4√3)x + (2 + √3) = 0
We can solve for x by using the sum of root formula, which states that
α + β = -b/a
Here, a = 2 - √3, b = -(7 - 4√3), and c = 2 + √3. Substituting these values into the formula, we get:
(7 - 4√3)/(2 - √3)
(7 - 4√3)/(2 - √3) × (2 + √3)/(2 + √3)
(7 - 4√3)(2 + √3) = 14 +7√3 - 8√3 -12
(2 - √3)
Thus, the sum of roots in the given equation is (2 - √3).
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The complete question would be as:
What is the sum of roots in this equation (2 - √3)x²- (7 - 4√3)x + (2 + √3) = 0?
A. (2 - √3)
B. (2 +√3)
C. 2
D.√3
At Hoffman's Bike Rentals, it costs $30 to rent a bike for 7 hours. How many dollars does it cost per hour of bike use?
Answer:
It costs $4 2/7 per hour
two points in a rectangular coordinate system have the coordinates (4.8, 2.5) and (−3.2, 5.0), where the units are centimeters. determine the distance between these points.
To determine the distance between two points in a rectangular coordinate system, we can use the distance formula. Given the coordinates of the points (4.8, 2.5) and (-3.2, 5.0), we can calculate the distance as follows:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the values, we get:
Distance = √((-3.2 - 4.8)^2 + (5.0 - 2.5)^2)
Simplifying further:
Distance = √((-8)^2 + (2.5)^2)
Distance = √(64 + 6.25)
Distance = √70.25
Distance ≈ 8.38 centimeters
Therefore, the distance between the points (4.8, 2.5) and (-3.2, 5.0) is approximately 8.38 centimeters.
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Need help on number 5!
for Jocelyn's lemonade recipe for lemons are required to make 12 cups of lemonade at what rate are lemons being used in cups of lemonade per lemon
3 lemons
if you have to show your work 4 divided by 12 is 3
Answer:
3 per lemon used
Step-by-step explanation:
12 divided by 4 is 3 which would be 1 lemon
A store manager kept track of the number of newspapers sold each week over a seven-week period. The results are shown below. \( 87,87,215,154,288,235,231 \) Find the median number of newspapers sold.
The median number of newspapers sold over seven weeks is 223.
The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.
The formula for the median is as follows:
Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)
We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288
The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.
Median = (215 + 231)/2
= 446/2
= 223
In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.
Hence, the median number of newspapers sold over seven weeks is 223.
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3 TIMES WHAT = TO 90
Answer:
30 hope this is right yesssir
find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified line. 2x = y2, x = 0, y = 4; about the y-axis.
V= ?
The volume of the solid obtained by rotating the region about the y-axis is 2048π/5 cubic units.
To find the volume of the solid obtained by rotating the region bounded by the curves 2x = y^2, x = 0, and y = 4 about the y-axis, we can use the method of cylindrical shells.
We can see that the region is bounded below by the x-axis and above by the curve 2x = y^2. To use the method of cylindrical shells, we imagine slicing the region into thin vertical strips of width dx, and then revolving each strip about the y-axis to form a cylindrical shell.
The height of each shell is the difference between the y-coordinates of the upper and lower curves at the corresponding value of x, which is given by:
height = y - 0 = y
The radius of each shell is the distance from the y-axis to the corresponding value of x, which is given by:
radius = x
The volume of each cylindrical shell is therefore:
dV = 2πrh dx = 2πxy dx
To find the total volume, we integrate this expression over the range of x from 0 to 4, which gives:
V = ∫(0 to 4) 2πxy dx
= 2π ∫(0 to 4) x(y^2/2) dx
= π ∫(0 to 4) y^2 x dx
= π ∫(0 to 16) (y^2/2)(y^2/4) dy (using the equation 2x = y^2)
= π ∫(0 to 16) y^4/8 dy
= π [y^5/40] from 0 to 16
= π (16^5/40)
= 2048π/5.
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How does changing the sign of the constant a from positive to negative affect the domain and range of f(x) = a|x|?
When changing the sign of the constant a from positive to negative, the domain remains the same. But the range changes.
A function's range is the set of all values it can accept, whereas its domain is the set of all values for which it is defined.
Consider the given function f(x)=a|x|. Let us consider "a" takes positive values that is \(a\geq0\). Then, the given function is defined as follows,
\(f(x)=\begin{cases}a(x)=ax}\; &x\geq0\\{a(-x)=-ax\;&x < 0\end{cases}\)
Then, the domain will be \(\text{domain}=\mathbb{R}\{(-\infty, \infty)\) and the range will be given as \(\text{Range} = \text{only non-negative real numbers} = \mathbb{R}^++\{0\}\).
Now let us consider "a" takes negative values that is a<0. Then, the given function is defined the same and the domain will remain the same. But the range will be given as \(\text{Range} = \text{only negative real numbers} = \mathbb{R}^-+\{0\}\).
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A population that is neither growing nor declining will have a TFR of ________. A population that is neither growing nor declining will have a TFR of ________. 2.1 1.2 less than 1.0 zero greater than 2.1
A population that is neither growing nor declining will have a TFR (Total Fertility Rate) of 2.1.
A population that is neither growing nor declining will have a Total Fertility Rate (TFR) of 2.1. The TFR is the average number of children that a woman of reproductive age will have in her lifetime.
A TFR of 2.1 is considered to be the replacement level for a population, meaning that the population will remain stable over time as births are balanced by deaths.
A TFR less than 1.0 would indicate a population in decline, while a TFR greater than 2.1 would indicate a population in growth.
Therefore, a population that is neither growing nor declining will have a TFR (Total Fertility Rate) of 2.1.
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what is the probability of having a 5-card hand that is a flush or royal flush (all 5 cards are the same suit but different values)?
The probability of having a 5-card hand that is a flush or royal flush is 0.00196
What is Probability?Probability: Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
Flush, straight flush, and royal flush probabilities are calculated as follows: 5148/2598960≅0.00198
A flush's likelihood (while eliminating straight and royal flushes) is 5108/2598960, ≅0.00196.
Finding the fraction with the number of ways to have a flush as the numerator and the number of possible five-card hands as the denominator will allow us to determine the likelihood.
Combinations will be used to find each of these numbers (we don't care about the draw order; only about what shows up in our hand). Combinations' general formula is Cn,k=n!/(k)!(n-k)! with k=picks and n=population
Let's first determine the denominator by selecting 5 cards at random from a deck of 52 cards: C52,5=52!/(5)!(525)!
=52!/(5!)(47!)
Let's assess it!
52×51×50^10×49×48^2×47!/5×4×3×2×47!=52×51×10×49×2=2,598,960
Let's now determine the numerator.
In order to examine each hand with five cards of the same suit, we will compute all hands that feature a flush (including straight flushes, royal flushes, and flushes) (with a suit having 13 cards in total). We can say that we understand this by:
C13,5
Remember that there are 4 suites in which this might occur, but we only want 1, so multiply by C4,1. Putting it all together, we obtain:
C4,1×C13,5=4!/(1!)(4−1)!×13!/(5!)(13−5)!=4!13!/3!5!8!
Let's assess this.
4!×13×12×11×10×9^3×8!/3×2×5×4!×8!=13×12×11×3=5148
(Remember that we just calculated all hands, including straight flushes and royal flushes, that have a flush component to them!
The probability of getting a hand with a flush is:
5148/2598960≅.00198
We may exclude straight and royal flush possibilities from the 5148 flush hands by excluding those hands (which are hands with 5 consecutive value cards in the same suit, such as 3, 4, 5, 6, and 7 of hearts). Since there are four suits and 10 potential ways to get a straight (A-5, 2-6, 3-7,..., 10-A), we can subtract 4 from 5148 to get 5108 hands, which gives us the result 5108/2598960=0.00196.
The probability of having a 5-card hand that is a flush or royal flush is 0.00196
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readings on the thermometers are normally distributed with a mean of 0 degree and standard deviation of 1 c. find 90th percentile.
The 90th percentile of the thermometer readings is approximately 1.282 degrees Celsius.
To find the 90th percentile of the thermometer readings, which are normally distributed with a mean of 0 degrees and a standard deviation of 1 degree Celsius, follow these steps:
1. Look up the z-score corresponding to the 90th percentile in a standard normal distribution table or use a calculator. The z-score for the 90th percentile is approximately 1.282.
2. Since the mean (µ) is 0 and the standard deviation (σ) is 1, use the z-score formula to find the temperature reading at the 90th percentile:
X = µ + z × σ.
3. Substitute the values:
X = 0 + 1.282 × 1.
4. Calculate the result:
X ≈ 1.282 degrees Celsius.
Thus, the 90th percentile of the thermometer readings is approximately 1.282 degrees Celsius.
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3 x - 23 =
- 9 / - 3 =
28 x – 3 =
45 / - 5 =
9 x - 10 =
Ayudaaaaaa es para mañana
What is the expected value for the binomial
distribution below?
Successes
0
Probability 243/3125
1
162/625
2
216/625
3
144/625
48/625
5
32/3125
The expected value for the binomial distribution with the provided probabilities is approximately 1.29888.
To find the expected value for the binomial distribution, we multiply each possible outcome by its corresponding probability and sum them up. In this case, we have the following outcomes and probabilities:
Successes: Probability:
0 243/3125
1 162/625
2 216/625
3 144/625
4 48/625
5 32/3125
To calculate the expected value, we multiply each outcome by its probability and sum them up:
Expected value = (0 * 243/3125) + (1 * 162/625) + (2 * 216/625) + (3 * 144/625) + (4 * 48/625) + (5 * 32/3125)
Simplifying this expression gives us:
Expected value = 0 + 0.26016 + 0.6912 + 0.27648 + 0.0384 + 0.03264
Expected value = 1.29888
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Find an equation of the sphere that passes through the point (4 3 -1) and has center (3 8 1)
The equation of the sphere that passes through the point (4, 3, -1) and has a center at (3, 8, 1) is: (x - 3)^2 + (y - 8)^2 + (z - 1)^2 = 30.
To find the equation of the sphere passing through the point (4, 3, -1) with a center at (3, 8, 1), we can use the general equation of a sphere:
(x - h)^2 + (y - k)^2 + (z - l)^2 = r^2
where (h, k, l) represents the center of the sphere and r represents the radius.
First, we need to find the radius. The distance between the center and the given point can be calculated using the distance formula:
√[(x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2]
Substituting the coordinates of the center (3, 8, 1) and the given point (4, 3, -1), we have:
√[(4 - 3)^2 + (3 - 8)^2 + (-1 - 1)^2]
Simplifying, we get:
√[1 + 25 + 4] = √30
Therefore, the radius of the sphere is √30.
Now we can substitute the center (3, 8, 1) and the radius √30 into the general equation:
(x - 3)^2 + (y - 8)^2 + (z - 1)^2 = 30
So, the equation of the sphere that passes through the point (4, 3, -1) and has a center at (3, 8, 1) is:
(x - 3)^2 + (y - 8)^2 + (z - 1)^2 = 30.
This equation represents all the points on the sphere's surface.
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Perimeter and Area
Determine the perimeter and area of a rectangle with length 33 feet and width 10 feet.
Answer:
Perimeter = 86 feet
Area = 330 feet
Step-by-step explanation:
Perimeter = 2(l + w)
P = 2(33 + 10)
P = 86 feet
Area = l * w
A = 33 * 10
A = 330 feet
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Max can travel 100 miles in 2 hours. At this rate, how many hours will it take him to travel 650 miles?
In a telephone poll, 3 people said they like shopping and 16 people said they do not like shopping. What is the ratio of the number of people who do not like shopping to the number of people who like shopping
Answer:
16:3
Step-by-step explanation:
Thats the way ratios work
Find the indicated term of the arithmetic sequence with the given description.
The 100th term is - 1240, and the common difference is -25. Find the fifth term.
as = ?
The fifth term of the arithmetic sequence is -1190.
How to find the arithmetic sequence?An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. To find the fifth term, we can use the formula for the nth term of an arithmetic sequence:
aₙ = a₁ + (n - 1) * d
where aₙ represents the nth term, a₁ is the first term, n is the position of the term, and d is the common difference.
Given that the 100th term is -1240 and the common difference is -25, we can substitute these values into the formula.
Since the fifth term corresponds to n = 5, we can calculate:
a₅ = -1240 + (5 - 1) * (-25)
= -1240 + 4 * (-25)
= -1240 - 100
= -1340
Therefore, the fifth term of the arithmetic sequence is -1190.
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-2 (3.1) SHOW WORK PLS THANK YOU
PLEASE SHOW WORK SO I UNDERSTAND THANKS :)
-0.3 * -(11)/(30)
Answer:
0.11
Step-by-step explanation:
The answer would be 0.11, i just used a calculator lol
I NEED HELP ASAP PLEASE!!! THIS IS EXTREMELY URGENT! I WILL MARK BRAINLIEST!
Gladys classifies the following system of equations.
y = 6x + 2
y = 6x + 1
Select Correct or Not correct for each statement.
Statement
A. The system is inconsistent because the slopes are the same and the lines are different.
B .The system is dependent because the y-intercepts are different.