Answer:
Step-by-step explanation:
The correct answer is C. Shading will be above the y=-2x+1 line but below the y= 3x-1 line.
The line y=-2x+1 is a line with a slope of -2 and a y-intercept of 1. It represents the solutions that are greater than -2x+1.
The line y=3x-1 is a line with a slope of 3 and a y-intercept of -1. It represents the solutions that are less than 3x-1.
So, when you graph both of these lines on the same coordinate plane, the solutions that satisfy both inequalities will be the region that is above the line y=-2x+1 but below the line y=3x-1, and this is the region that will be shaded.
the population of toliver town
The population of Toliver town reached a maximum of 200 by the mid - 1890s.
What was the population of Toliver Town at it's height ?After the Civil War, people initially began settling in Toliver, a farming community two miles northwest of the Cushing site in northwestern Nacogdoches County. There was a post office created there in 1888, and by the middle of the 1890s, there were 200 people living there.
However, the community was bypassed when the Texas and New Orleans Railroad was built through the region in 1901, and the majority of its population and businesses went to the recently founded town of Cushing, on the rail line, and the town was abandoned a few years later.
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The full question is:
What was the population of Toliver town at it's height ?
if the numbers 1/2, x, y, 3/4 are in increasing order of size, what is the value of y
The required value of y is 8/12 and the sequence is given as 1/2, 7/12, 8/12, 3/4.
What is arithmetic progression?Arithmetic progression is the series of numbers that have common differences between adjacent values
Here,
Let the common difference between the values be d = 1/12
Now
Since x in the second term
x = 1/2 + (2- 1 )1/12
x = 7/12
Since y is the third term
So,
y = 1/2 + (3 - 1)d
y = 1/2 + 2/12
y = 1/2 + 1/6
y = 6 + 2/12
y = 8/12
Thus, the required value of y is 8/12 and the sequence is given as 1/2, 7/12, 8/12, 3/4.
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“Log 2x = -1 Solve each equation. Check Answers”
Please help me logs are confusing
Determine the intercepts of the line. Do not round your answers. y+1=3(x − 4) x-intercept: (_,_) y-intercept: (_,_)
The intercepts of the line are x intercept: (4.3,0) y-intercept: (0,-13)
How to determine the intercepts of the lineFrom the question, we have the following parameters that can be used in our computation:
y+1=3(x − 4)
To calculate the x-intercept, we set y to 0
So, we have the following representation
0+1=3(x − 4)
This gives
x - 4 = 1/3
So, we have
x = 4.33
To calculate the y-intercept, we set x to 0
So, we have the following representation
y + 1 = 3(0 − 4)
This gives
y + 1 = -12
So, we have
y = -13
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Determine the value of the missing angle using the inverse trig function.
Answer:
x = 59.036°
Step-by-step explanation:
tan (BÂC) = BC/AB
tan= opposite/ adjacent
Then subs AB = 3 BC= 5 BÂC= x into tan (BÂC) = BC/AB
tan(x)=5/3
x= tan^-1 (5/3)
x= 59.036°
The sum of two numbers is 22. Two less than three times the smaller number is equal to the larger number x. Find the larger number.
y=6, x=16
you create a system with the two variables and manipulate an equation so that you can substitute in the other to make it a single-variable equation. you then solve for that variable by isolating it and you can solve for the second variable afterwards. hope this helps!
during an experiment the tempsture of mixture changes from 12 1/4 F to 15 3/5 F what is the percent of the increse in the temperature of the mixture
HURRY!
The percentage of the increase in the temperature of the mixture is 27.34%.
What is the percentage?
A percentage is a figure or ratio that may be stated as a fraction of 100 in mathematics. If we need to compute the percentage of a number, divide it by the entire and multiply by 100. As a result, the percentage denotes a part per hundred. Per 100 is what the term percent signifies. The sign "%" represents it.
Here are some percentage examples:
10% is 1/10 of a fraction.
20% is equal to a 1/5 portion.
25% is equal to 1/4 fractions.
Now,
As percentage increase = (final value-initial value) / initial value *100
Here initial temperature=12 1/4 F=49/4 F and
Final temperature = 15 3/5=78/5 F
then (final value-initial value) =78/5-49/4=15.6-12.25
=3.35
therefore, percentage increase=3.35/12.25*100
=0.2734*100
=27.34%
Hence,
The percentage of the increase in the temperature of the mixture is 27.34%.
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How do you know that the sum of is rational? The sum is a terminating and a repeating decimal. The sum is a non-terminating and a non-repeating decimal. The sum is a fraction. The sum is an integer.
In response to the given problem, we can state that the fraction sum is a rational fraction. The numerators of true fractions are smaller than the denominators.
What is fraction?To represent a whole, any number of equal parts or fractions can be utilized. In standard English, fractions show how many units there are of a particular size. 8, 3/4. Fractions are part of an entire. In mathematics, numbers are stated as a ratio of the numerator to the denominator.
They can all be expressed as simple fractions as integers. A fraction appears in a complex fraction's numerator or denominator.
A sum that is a fraction of a total is called a fraction. You can analyse something by dissecting it into smaller pieces. For instance, the number 12 is used to symbolize half of a full number or object.
And
[tex]-11/4 + 5/9[/tex]
[tex]-99+20 / 36 = -79/36[/tex]
Therefore, By fraction, sum is fraction as rational.
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Which ordered pair is a solution of the inequality y≤1/3x−6
The ordered pair of the inequality will be (9,-3).
What is inequality?The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.
Given that inequality is given as y ≤ 1/3x−6.
The ordered pair can be calculated as:-
y ≤ 1/3x−6
Substitute the value of x equal to 9 and get the value of y,
y ≤ 1/3(9) - 6
y ≤ 3 - 6
y ≤ -3
Hence, the ordered pair will be (9,-3).
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Mimi Divided a block of chese weighing 10kg into pieces weighing 5/8 kg how many pieces did she get? (Show Working)
QUESTION FOR FOR LIH04
How much water was already in the pool when the hose was turned on today?
gallons
Complete the equation to represent the relationship between the volume of water in the pool in gallons, V, and the elapsed time in hours, t, since the hose was turned on today.
QUIC HELP
1) Note that the volume of water that was already in the pool when the hose was turned on today is 2000 gallons of water.
2) The equation that represents the relationship between the volume of water in the pool in gallons "V) and the elapsed time in hours, t, since the hose was turned on today is V = 800t + 2000.
Note that to get the right expression above we have to solve for the slope of the graph.
What is the rationale for the above response?1) To arrive at the answer in 1 above, we only have to examine the y-intercept. since at time (t) =0 the volume of water (gallons) indicated on the graph is 2000 gallons, thus, it is correct to state that:
"the volume of water that was already in the pool when the hose was turned on today is 2000 gallons of water."
2) From the graph, we can see the equation must be linear.
That is:
y = mx + b
Where y = V = Volume of Water in the Pool in Gallons
m = Slope
x = t = elapsed time in hours
b = y- intercept = already given as 2000
Thus:
To get m (slope) we need to use the above equation:
m = rise/run = y2-y1/x2-x1
Take
y1 = 6000
y2 = 10,000
x1 = 5
x2 = 10
Substituting the given values, we get:
m = (10,000 - 6,000) / (10 - 5)
m = 4,000 / 5
m = 800
Therefore, the slope of the line passing through the points (5, 6000) and (10, 10,000) is 800.
Having derived m, the full expression is thus given as:
V = 800t + 2000.
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Full Question:
See attached for full question
A metal washer has an external diameter of 2 cm and an internal diameter of 1 cm.
How many washers can be cut from a sheet of steel 3 m by 1 m?
If the metal left over was remelted and cast into a sheet of the same thickness and
width 1 m, how many additional washers could be cut?
(a) The number of washers that can be cut from a sheet of steel is 12,732 washers.
(b) No additional washers could be cut from the metal left over after it was remelted and cast into a sheet of the same thickness and width (1 m).
How many washers can be cut from the sheet?
First, we need to calculate the area of the washer, which can be done as follows:
Area = π (de/2)² - π (di/2)²
= π(0.02 m/2)² - π (0.01 m/2)²
= 0.000236 m²
Now, we can calculate the number of washers that can be cut from a 3m x 1m sheet of steel:
Number of washers = (Area of the sheet) / (Area of the washer)
= (3 m x 1 m) / 0.000236 m²
= 12,732 washers
Next, we need to find the area of the metal left over after cutting the 12,732 washers. This can be calculated as follows:
Area of the metal left over = (3 m²) - (12,732 x 0.000236 m²)
= 3 - 3.05
= -0.05 m²
Since the metal left over is negative, it means that not enough metal was available to cut 12,732washers. Hence, 12,732 is the maximum number of washers that can be cut from a 3m x 1m sheet of steel.
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Need helppppp asappppp pleaseee
Step-by-step explanation:
oh, come on ! we are dealing with rectangles.
and you know how to get the perimeter and the area of a rectangle. upper elementary school students can do that.
remember, the perimeter is the distance when you walk all around the rectangle.
so, 2 times the length and 2 times the width.
and the area is simply length × width.
but your teacher was very lazy and careless with some phrasing about what is needed.
the original room is 8 ft × 3 ft.
1.
the length of border needed is exactly the perimeter.
so,
2×8 + 2×3 = 16 + 6 = 22 ft
2.
the area of the floor is
8×3 = 24 ft²
this is the amount of floor panels to be bought. we buy them in ft².
3.
the new room is (8+3) ft × (3-2) ft. = 11 ft × 1 ft.
that is a very strange room. no human can live in such a room.
I think your teacher meant (8-2) ft × (3+3) ft = 6 ft × 6 ft.
but let's stick with the original information.
the border for this room (perimeter) is
2×11 + 2×1 = 22 + 2 = 24 ft
4.
the floor area is
11 × 1 = 11 ft²
if we consider my correction of the room size, it is
6×6 = 36 ft²
5.
"difference in size" is not clear. regarding the dimensions (side lengths and correspondingly the perimeter) or regarding the floor size ?
if we consider the perimeter, the difference is
24 - 22 = 2 ft
the new room's perimeter is 2 ft less.
if we consider the floor area, the difference is
24 - 11 = 13 ft²
the new room is 13 ft² smaller.
or for my size correction, the difference is
36 - 24 = 12 ft²
the new room is then 12 ft² larger.
18.85% of the pupils in Form 2 study craft, 72% study music and 60% study both subjects. What percentage study neither craft nor music?
Answer:
Step-by-step explanation:
Sorry cant help 18.85%
Three friends, Martin, Tyreese, and Braydon, are collecting donations to help in their community's clean-up initiative. Their total contribution goal is represented by the expression 8x2 − 4xy + 9. The friends have already collected the following amounts: Martin: 3xy + 17 Tyreese: x2 Braydon: 2x2 − 6 Which expression represents the amount of money the friends still need to collect to meet their goal? 11x2 −xy + 20 5x2 − xy + 20 5x2 − 7xy − 2 3x2 + 3xy + 11
The expression that represents the amount of money the friends still need to collect to meet their goal is 5x² - 7xy + 20. The solution has been obtained by using arithmetic operations.
What are arithmetic operations?
The four fundamental mathematical operations that can be used to express any real number are referred to as "arithmetic operations" in mathematics. The four operations are addition, subtraction, division, and multiplication.
We are given the total contribution goal as 8x² - 4xy + 9
Amounts collected by:
Martin = 3xy + 17
Tyreese = x²
Braydon = 2x² - 6
So, the total amount collected till now is
(3xy + 17) + x² + (2x² - 6) = 3x² + 3xy - 11
Amount left to be collected is
⇒(8x² - 4xy + 9) - (3x² + 3xy - 11)
⇒8x² - 4xy + 9 - 3x² - 3xy + 11
⇒5x² - 7xy + 20
Hence, the expression is 5x² - 7xy + 20.
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3(x+2) x 10 x 7/70-2(x+2)
The solution of the given expression results as 105(x+2)/33-x
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We are Given the expression;
[3(x+2)*10*7]÷70 - 2(x+2)
Solving further
= 3(x+2)*70÷70 - 2(x+2)
= 210(x+2)/70-2x-4
= 210(x+2)/66-2x
= 210(x+2)/2(33-x)
= 105(x+2)/33-x
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Transcribed image text: Question 4 A certain automotive dealer sells only cars and trucks, and the ratio of cars to trucks on the lotis 11 to 33. If there are currently 51 trucks for sale, how many cars does the dealer have for sale! 34 68 136 272 thierronse
If the ratio of cars to trucks on the lot is 11 to 33 and there are currently 51 trucks for sale, then there are 17 cars for sale
The ratio of cars to truck on the lot = 11 : 33
Total number of trucks for sale = 51 truck
Consider the number of cars for sale = x
Then the ratios will be
11/33 = x / 51
Cross multiply the terms in the equation
33x = 51 × 11
33x = 561
Move 33 to the right hand side of the equation
x = 561 / 33
Divide the terms
x = 17
Therefore, the number of cars does the dealer have for sale is 17
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Dorthy surveyed the first 20 people to use a new website is this s biased or a random sample
It is a biased sample.
What is meant by a random sample?
Each sample has an equal chance of being chosen as part of the sampling procedure known as random sampling. A randomly selected sample is intended to be a fair reflection of the entire population.
A random sample is one in which each individual, thing, or event has an equal chance of being chosen. Compared to other types of samples, a random sample has a higher likelihood of being representative of the total population. A skewed sample is one that does not fairly represent the population as a whole.
Here Dorthy considered only the first 20 people and not the whole population so this is not a random sample and it is a biased sample.
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Please help with number 2!!! 100 points
Answer:
C
Step-by-step explanation:
Two less than 7 times a number equals 33 = 7x - 2 = 33. Sorry I cant really explain :/
Hope my answer helps!
(X) 4.7.PS-15
Question Help
A rectangular garden has a walkway around it. The area of the garden is 2(3.5x+2.5). The combined area of the garden and
the walkway is 2.5(6x+4). Find the area of the walkway around the garden as the sum of two terms.
The area of the walkway around the garden is
(Simplify your answer. Use integers or decimals for any numbers in the expression.)
The area of the walkway of the garden is 8x - 15 square units.
What are the area and perimeter of a rectangle?The area of a rectangle is the product of its length and width.
The perimeter of a rectangle is the sum of the lengths of all the sides.
Given, The area of the garden is 2(3.5x + 2.5) and the combined area of the garden and the walkway is 2.5(6x + 4).
Therefore, The area of the walkway is,
= 2.5(6x + 4) - 2(3.5x + 2.5).
= 15x - 10 - 7x - 5.
= 15x - 7x - 10 - 5.
= 8x - 15 square units.
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a research company is claiming that 75% of college students shop online. jamila takes a sample of 200 college students and finds that 120 college students shop online. which type of inference test should jamila use?
Since the research company is making a claim about the proportion of college students who shop online and Jamila is taking a sample of college students to test this claim, she should use a one-proportion z-test.
A one-proportion z-test is used to test whether the proportion of successes in a sample is significantly different from a hypothesized proportion. Here, the hypothesized proportion is 75% (the claim made by the research company) and the sample proportion is 120/200 = 0.6.
Jamila can use the one-proportion z-test to determine whether the difference between the sample proportion and the hypothesized proportion is statistically significant. The null hypothesis is that the sample proportion is equal to the hypothesized proportion (i.e., p = 0.75), and the alternative hypothesis is that the sample proportion is not equal to the hypothesized proportion (i.e., p ≠ 0.75).
Based on the sample size and the fact that the population standard deviation is not known, Jamila should use the normal approximation to the binomial distribution to perform the one-proportion z-test.
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a group of wine enthusiasts taste-tested a pinot noir wine from oregon. the evaluation was to grade the wine on a 0-to-100-point scale. a wine rated above 90 is considered truly exceptional. the results follow: a. compute the sample mean, the sample standard deviation, and the sample median. you may use excel for the calculations; if you do so, please upload your excel sheet with your homework solutions. b. construct a histogram and a boxplot for these data and comment on any important features that you notice. you can create by hand, or using excel or minitab. include histograms and boxplots in the pdf document submission c. what proportion of the taste-tasters considered this particular pinot noir truly exceptional?
The sample mean is 89.45, the sample standard deviation is 2.327, and the sample median is 91 and the leaf plot of the data is illustrated below.
The sample standard deviation is a measure of how much the ratings vary from the sample mean. It tells us how spread out the data is. A larger standard deviation means the data is more spread out, while a smaller standard deviation means the data is more tightly clustered around the mean.
To calculate the sample standard deviation, we first need to calculate the variance. The variance is the average of the squared differences between each rating and the mean. The formula for variance is:
variance = (sum of (rating - mean)²) / (number of ratings - 1)
In this case, the sum of the squared differences is 301.9, and there are 39 degrees of freedom (40 ratings minus 1), so the variance is 7.741. To get the sample standard deviation, we take the square root of the variance. In this case, the sample standard deviation is approximately 2.78.
The sample median is the middle rating when the ratings are arranged in order from lowest to highest. In this case, there are 40 ratings, so the median is the average of the 20th and 21st ratings, which are both 91.
Finally, we can determine what proportion of the taste-tasters considered this particular pinot noir truly exceptional (above 90 points). To do this, we count the number of ratings that are above 90 and divide by the total number of ratings. In this case, there are 30 ratings above 90, so the proportion is 30/40, or 0.75. This means that 75% of the taste-tasters considered this pinot noir truly exceptional.
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Complete Question:
A group of wine enthusiasts taste-tested a pinot noir wine from Oregon. The evaluation was to grade the wine on a 0-to-100-point scale. The results follow. Construct a stemand- leaf diagram for these data and comment on any important features that you notice. Compute the sample mean, the sample standard deviation, and the sample median. A wine rated above 90 is considered truly exceptional. What proportion of the taste-tasters considered this particular pinot noir truly exceptional?
94 90 92 91 91 86 89 91 91 90
90 93 87 90 91 92 89 86 89 90
88 95 91 88 89 92 87 89 95 92
85 91 85 89 88 84 85 90 90 83
Please help I’ll give brainliest!! What ordered pairs are the solutions of the system of equations shown in the graph
below?
Answer:
(-1,3) and (3,-5)
Step-by-step explanation:
I'm assuming since it is giving no information that it wants where the two graph intersect each other.
So, by the looks of it they intersect at
(-1,3) and (3,-5)
answer the following question in the space provided to move forward.
1. What function did you enter?
2. What was the "y" or "f(x)" when x = 2 for your function?
1. The function for this problem is defined as follows: y = 2x + 3.
2. The numeric value of the function at x = 2 is given as follows: y = 7.
How to find the numeric value of a function or of an expression?To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.
We define a function as follows:
y = 2x + 3.
At x = 2, the numeric value is found replacing the lone instance of x by 2, hence:
y = 2(2) + 3
y = 7.
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do 3 over 4 and 9 over 12 form a proportion
Answer:
0 over 12
Step-by-step explanation:
3/4 is equal to 9/12
so your basically taking 9/12 from 9/12
Forest rangers at a state park have observed a decline in the rate of trees per
acre over a 5-year period. At the beginning of their observations, there was an average of 48 trees per acre. At the end of the 5-year period, there was an
average of 42 trees per acre. If this trend continues, how many trees per acre
will there be 412 years from the end of the 5-year observation period?
After 412 years there will be no trees at the state park.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
From the given information,
Slope(m) = (42 - 48)/(5 - 0).
Slope(m) = - 6/5.
b = 48, As y-intercept(0, 48).
Therefore, y = - (6/5)x + 48.
Now, y = - (6/5)×412 + 48.
y = - 446.4 trees per acre, But there will be no trees as it came out to be a negative value.
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1. an aerospace company has submitted bids on two separate federal government defense contracts. the company president believes that there is a 61% probability of winning the first contract. if they win the first contract, the probability of winning the second is 74%. however, if they lose the first contract, the president thinks that the probability of winning the second contract decreases to 20%. what is the probability that they lose both contracts?
The required probability of loosing both the contracts with 61% chances of winning first contract and 74% chances of second contract is equal to 0.1014.
Probability of winning the first contract 'P(A)' = 61%
= 0.61
Probability of winning the second contract 'P(B)' = 74%
= 0.74
Probability of loosing both the contracts is
= [ 1 - P(A) ] × [ 1 - P(B) ]
= [ 1 - 0.61 ] × [ 1 - 0.74 ]
= 0.39 × 0.26
= 0.1014
Therefore, the probability of loosing both the contracts as per given contracts winning possibility is equal to 0.1014.
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rulers are sold in boxes of 12
protractors are sold in boxes of 8
A teacher would want to buy the same number of rulers and protractors
work out the smallest number of boxes of each iteam he shoould by
ruler boxes?
protractor boxes?
Answer:
Step-by-step explanation:
Find the GCF:
12, 24, 36
8, 16, 24, 32
GCF is 24
The lowest amount of boxes the teacher could buy would be 2 boxes of Rulers and 3 boxes of Protractors. I hope this helped
What is the definition of equivalent ratios?
