Answer:
p < 10
here's your solution
=> it is given. 4p - 1 < 39
=> we need to find out p
=> 4p - 1 <39
=> 4p < 39 + 1
=> 4p < 40
=>. p < 40/4
=> p < 10
the value of p Is smaller than 10
hope it helps
Aaron filled the bird bath with 58 ounces of water. A group of blue jays came by and drank 3.18 ounces. Then a vulture swooped in and drank fourteen and two fifths ounces of the water. How much water is left in the bird bath?
75.58 ounces
72.40 ounces
69.22 ounces
40.42 ounces
Answer:
40.42 ounces.
Step-by-step explanation:
Initial volume of water: 58 ounces
"A group of blue jays came by and drank 3.18 ounces", it means that they substracted 3.18 ounces, therefore we do the following:
58 ounces - 3.18 ounces= 54.82 ounces.
After that, "...a vulture swooped in and drank fourteen and two fifths ounces of the water", this means that 14 ounces + 2/5 ounces were substracted from the bath.
As for right now, there are 54.82 ounces, let's calculate how much there was after the vulture passed by:
54.82 ounces - 14 ounces= 40.82 ounces.
40.82 ounces - 2/5 ounces, let's convert the fraction to a decimal and substract:
40.82 ounces - 0.4 ounces= 40.42 ounces.
Therefore, the final volume of water remaining in the bath is 40.42 ounces.
--------------------------------------------------------------------------------------------
This problem could be solved by adding up all the substractions and substracting the total amount from the initial volume of water in the bath. This would be the operation:
58 - (3.18 + 14 + 2/5)=
58 - (3.18 + 14 + 0.4)=
58 - (17.58)=
40.42 ounces.
A rectangular garden is to be constructed using a rock wall as one side of the garden and wire fencing for the other three sides. Given that there are 30 meters of fencing available, determine the dimensions that would create the garden of maximum area. What is the maximum possible area?
The dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is 75 square meters
What is measurement?
Measurement is the process of assigning numerical values to physical quantities, such as length, mass, time, temperature, and volume, in order to describe and quantify the properties of objects and phenomena.
Let's assume that the rock wall is the width of the garden and the wire fencing is used for the length and the other two sides. Let's denote the length of the garden as L and the width as W.
Since we have 30 meters of fencing available, the total length of wire fencing used is:
L + 2W = 30 - W
Simplifying this equation, we get:
L = 30 - 3W
The area of the garden is:
A = LW
Substituting the expression for L from the previous equation, we get:
A = W(30 - 3W)
Expanding the expression, we get:
A = 30W - 3W²
To find the maximum area, we need to take the derivative of A with respect to W and set it equal to zero:
dA/dW = 30 - 6W = 0
Solving for W, we get:
W = 5
Substituting this value back into the expression for L, we get:
L = 15
Therefore, the dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is:
A = 5(15) = 75 square meters
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At a coffee shop, the first 100 customers' orders were as follows. Small Medium Large Hot un 48 22 Cold 8 12 5 What is the probability that a customer ordered a small given that he or she ordered a cold drink? Rounded to the nearest percent, [? ]% Enter
Answer: 32%
Step-by-step explanation:
8/25
The probability that a customer ordered a small given that he or she ordered a cold drink is 32%
How to determine the probability?The probability is represented as:
P(Small | Cold)
This is calculated using:
P(Small | Cold) = n(Small and Cold)/n(Cold)
Using the data on the given table, we have:
P(Small | Cold) = 8/(8 + 12 + 5)
Evaluate
P(Small | Cold) = 0.32
Express as percentage
P(Small | Cold) = 32%
Hence, the probability that a customer ordered a small given that he or she ordered a cold drink is 32%
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Write an expression that represents h decreased by 5.
Answer: h - 5
Step-by-step explanation:
h decreased by 5
h - 5
I'm sorry TnT I don't really know how to explain this but I'm 100% sure my answer is correct. Hope it helped!
Answer:
see explanation
Step-by-step explanation:
h is decreased by 5
5-h
Omar has three t shirts: one red, one green and one yellow. He has two pairs of shorts one black and red.
-How many different outfits can Omar put together?
-What is the probability of Omar’s outfits including a red T-shirt or red shorts?
Answer:
Omar can put together 6 outfits.
66.67% probability of Omar’s outfits including a red T-shirt or red shorts
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
-How many different outfits can Omar put together?
For each t-shirt, that are two options of shorts.
There are 3 t-shirts.
3*2 = 6
Omar can put together 6 outfits.
What is the probability of Omar’s outfits including a red T-shirt or red shorts?
Red t-shirt and red shorts
Red t-shirt and black shorts
Green shirt and red shorts
Yellow shirt and red shorts
4 desired outcomes.
4/6 = 0.6667
66.67% probability of Omar’s outfits including a red T-shirt or red shorts
Is 8(3x+2) and 4(6x÷4) equivalent?
Answer:
x= - 8/9
Step-by-step explanation:
Simplify the algebraic expression: 6(d - 4e)
Answer:
6d - 24e
Step-by-step explanation:
Sharon wants to buy a shirt that costs $50. The sales tax is 5%. How much is the sales tax? What is her total cost for the shirt
Answer: The sales tax is $2.5 and her total cost of the shirt is $47.5.
Step-by-step explanation:
Lashonda purchased a prepaid phone card for $25. Long distance calls cost 8 cents a minute using this card. Las
distance call. If the remaining credit on her card is $23.48, how many minutes did her call last?
Answer:
About 2 minutes
\(25-(2*.8)= 23.4\)
I need to know what goes in the amount box is someone will be kind enough to help me that would be very appreciated
Answer:
123
Step-by-step explanation:
Yw
Brittany asked her classmates: How much time, in minutes, do you spend reading each day? Here are the results: 10, 20, 20, 20, 30, 30, 30, 30, 30, 40, 40, 40, 60, 60, 60 Display the data in a line plot, a histogram, and a box plot. Next to each graph, write down something you notice about the data. Upload your completed plots here.
The line plot, histogram, and box plot provide different visual representations of the reading time data. By analyzing these plots, we can observe the distribution and characteristics of the data, such as central tendency, spread, and outliers.
Line Plot:
A line plot displays data points on a number line, representing the frequency or count of each value.
In this case, the line plot will show the minutes spent reading on the x-axis and the count of students on the y-axis.
For the given data, the line plot will show 10, 20, 30, 40, and 60 on the x-axis, with the corresponding counts displayed above each value.
Histogram:
A histogram displays data distribution by dividing the range of values into intervals or bins and representing the frequency of values falling into each bin.
The histogram will have the minutes spent reading on the x-axis and the count or frequency of students on the y-axis.
The intervals will be 10-19, 20-29, 30-39, 40-49, and 50-59, with the last interval being 60+.
The height of each bar in the histogram will represent the number of students falling into each interval.
Box Plot:
A box plot (also known as a box-and-whisker plot) provides a visual representation of the distribution of data, including measures of central tendency and variability.
The box plot will show a horizontal line inside a box, with whiskers extending from the box, and possibly individual data points beyond the whiskers.
The box will represent the interquartile range (IQR), showing the middle 50% of the data.
The line within the box will represent the median value.
The whiskers will indicate the minimum and maximum values, excluding outliers.
By analyzing these plots, you can observe the central tendency, spread, and distribution of the reading time data. For example, you can identify any outliers, notice the most common reading durations, and observe any patterns or trends within the dataset.
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The Heflin household is laying down mulch around their garden. The following image depicts the shape and dimension of their garden and the area they want to place the mulch:
A triangular garden inside a rectangular mulch area. The garden has a base of 6 feet and a height of 5 feet, and the mulch area has a height of 9 feet and a base of 12 feet.
If the mulch costs $0.59 per square foot, determine the total cost.
Answer:
$54.87
Step-by-step explanation:
The area of the triangular garden is (1/2) x base x height = (1/2) x 6 x 5 = 15 square feet.
The area of the rectangular mulch area is base x height = 12 x 9 = 108 square feet.
The total area to be covered with mulch is 108 - 15 = 93 square feet.
The cost of the mulch is $0.59 per square foot, so the total cost is 93 x $0.59 = $54.87.
Therefore, the total cost of the mulch will be $54.87.
Three swimmers competed in a race.
Karen finished 4.367 seconds ahead of Mary.
Brenda finished in 35.04 seconds.
Brenda finished 2.45 seconds behind Mary.
What was Karen’s finish time?
Answer:
33.123
Step-by-step explanation:
Brenda is at 35.04 seconds which is 2.45 seconds behind Mary so Mary is at 37.49 seconds.
Karen is ahead of Mary by 4.367 seconds which means she is at 33.123
Directions: Find the unit rate (per 1) for eac
your work for each.
Find each unit rate. Round your answer to the
1. type 800 words in 12 minutes how many words per minute
The unit rate for typing words is 66.67 words per minute.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
You type 800 words in 12 minutes.
To find the unit rate:
The unit rate means, terms per 1 minute.
We have used minute for this particular expression.
Use division operation,
Unit rate = 800 / 12 words per minute.
Unit rate = 66.67 words per minute.
Therefore, 66.67 words per minute is the unit rate.
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any gymnast or cheerleader
Answer:
Cheerleader :))
Step-by-step explanation:
Combine the methods of row reduction and cofactor expansion to compute the determinants in Exercises 11-14.
By combining the methods of row reduction and cofactor expansion the determinant of the given matrix is 1 .
In the question ,
it is given that ,
the matrix is \(\left[\begin{array}{ccc}0&4&1\\5&-3&0\\2&3&1\end{array}\right]\)
we need to compute the determinant using the row reduction that means using the row values [0 4 1 ] to find the determinant .
using the row [0 4 1] , the signs on the values on the first row will be +0, -4 and +1
the by applying the cofactor expansion , determinant will be equal to
= 0 -4[5×1 - 0] + 1[5×3 + 3×2]
= -4(5) + (15 + 6)
= -20 + 21
= 1
Therefore , the determinant is 1 .
The given question is incomplete , the complete question is
Combine the methods of row reduction and cofactor expansion to compute the determinant of the matrix \(\left[\begin{array}{ccc}0&4&1\\5&-3&0\\2&3&1\end{array}\right]\) .
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Find the product of the binomial (4x+3) with the trionomial (2x square -5x -3)
Answer:
The product of given binomial and trinomial is:
\(8x^3-34x^2-27x-9\)
Step-by-step explanation:
A binomial is a polynomial with 2 terms and trinomial is a term with 3 terms.
Given
\((4x+3)\\and\\(2x^2-5x-3)\)
Distributive property can be used to find the result.
Writing mathematically
\((4x+3)(2x^2-5x-3)\\= 4x(2x^2-5x-3)+3(2x^2-5x-3)\\= 8x^3-40x^2-12x+6x^2-15x-9\)
Combining alike terms
\(= 8x^3-40x^2+6x^2-12x-15x-9\\= 8x^2-34x^2-27x-9\)
Hence,
The product of given binomial and trinomial is:
\(8x^3-34x^2-27x-9\)
The graphs below have the same shape. What is the equation of the red
graph?
g(x) = ?
fix) = -X?
What are the inflection points for the function f ( x ) = sin ( π x − 2 ) in the interval 0 < x < 2
The inflection points for the given functions are π/2 and 5π/6.
What is the inflection points?The point of inflection or inflection point is a point in which the concavity of the function changes. It means that the function changes from concave down to concave up or vice versa. In other words, the point in which the rate of change of slope from increasing to decreasing manner or vice versa is known as an inflection point. Those points are certainly not local maxima or minima.
Graph the trigonometric function using the amplitude, period, phase shift, and vertical shift.
Amplitude: 1
Period: 2
Phase Shift: 2/π (2/π to the right)
Vertical Shift: None
Plot the points (2/π, 0), (1/2+2/π, 1), (1+2/π, 0) on graph.
On graph inflection points are π/2 and 5π/6.
Therefore, the inflection points for the given functions are π/2 and 5π/6.
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Using a number cube and this hat with 5 different-colored marbles, which simulation would help you answer this question? During the first 70 days of school, Becca’s science class does a lab experiment 23 of the time. The class meets Monday through Friday. If you choose a class at random, what are the chances that Becca did a lab experiment on a Friday?
The solution is, given below.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
We assume that the question is interested in the probability that a randomly chosen class is a Friday class with a lab experiment (2/15). That is somewhat different from the probability that a lab experiment is conducted on a Friday (2/3).
Based on our assumption, we want to create a simulation that includes a 1/5 chance of the day being a Friday, along with a 2/3 chance that the class has a lab experiment on whatever day it is.
That simulation can consist of choosing 1 of 5 differently-colored marbles, and rolling a 6-sided die with 2/3 of the numbers being designated as representing a lab-experiment day. (The marble must be replaced and the marbles stirred for the next trial.) For our purpose, we can designate the yellow marble as "Friday", and numbers greater than 2 as "lab-experiment".
The simulation of 70 different choices of a random class is shown in the attachment.
Comment on the question
IMO, the use of 70 trials is coincidentally the same number as the first 70 days of school. The calendar is deterministic, so there will be exactly 14 Fridays in that period. If, in 70 draws, you get 16 yellow marbles, you cannot say, "the probability of a Friday is 16/70." You need to be very careful to properly state the question you're trying to answer.
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Please help!! ASAP thanks
Tom bought a comic book for $5 at a discount of 20%. How much did the comic book
cost originally?
Answer:
0.4cents
Step-by-step explanation:
Please answer this correctly
4 out of 5 doctors use computers,write the ratio of doctors who use computers to all doctors
The ratio of doctors who use computers to all doctors is 4:5. This ratio can also be written as the fraction:
\(\frac{4}{5}\)This means that for each set of 5 doctors, 4 of them use computers. If there were, for example, a total of 50 doctors, then 40 of them would use computers.
Therefore, the answer is 4:5.
1. Annel sells a phone which costs $180 and earns 5% commission. What is the dollar
amount of commission that Annel earns?
A $189
B $9
C $109
D $90
Answer:
B) $9
Step-by-step explanation:
5% can also be written as 0.05
Dividing a percentage by 100 gives you decimal form.
The question is asking for the amount of commission earned, not the total amount. This means that all we have to do is do:
$180 x 0.05 = $9
Someone Help please with work!! 15pts
Answer:
f(5) is equal to 5.
Step-by-step explanation:
You can see this by looking at 5 on the horizontal axis, and seeing where the graph crosses vertical line for that value. If you look closely, you'll see that the x value of 5 has a y value of 5 as well.
Z - 12 = 6
A. 10
B. 15
C. 18
D. 6
Need help working it out
A kids pool had a small opening through which water sometimes leaked out. Water was poured into the pool from time to time. The graph shows the amount of water in the pool (y), in gallons, at certain times (x), in hours.
Which of the following statements best describes the amount of water in the pool ?
1) it is increasing during the time interval 4
2) it is increasing during the time interval 10
3) it is decreasing during the time interval 4
4) it is decreasing during the time interval 10
The best statement that describes the amount of water in the pool is that it is decreasing during the time interval 4. That is option 3.
How to determine the the interval of the water in the pool?To determine the time interval of the water in the pool the following is carried out.
At 0 hour, the water is at the level of = 40 gallons
At 1 hour, the water decreased to = 25 gallons.
At 2 hours, the water decreased to = 10 gallons.
The water remained at a constant level till 4 hours.
Therefore, the amount of water in the pool is that it is decreasing during the time interval 4.
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Incomes math pls help
Answer:
The median is:
\(49\)
The mode is:
\(54\)
Choose an equation that would be used to solve 0 = -x2 + 10x – 8
Answer: the second choice
Step-by-step explanation:
Answer:
the second part is 0.9, and 9.1
Step-by-step explanation:
thank me later