To show that $n$ infinitely long straight lines, arranged on a plane in such a way that no two lines are parallel and no three lines intersect at a single point, divide the plane into $\frac{n^2 + n}{2}$ regions, follow these steps:
Solution:
1. Start with one straight line on the plane. This line divides the plane into two regions.
2. Add a second straight line that is not parallel to the first line and doesn't intersect at the same point. This second line will divide each of the two existing regions in half, creating two additional regions, for a total of four regions.
3. Now, add a third straight line that is not parallel to any of the existing lines and doesn't intersect at the same point as any other two lines. This line will intersect the two previous lines and divide each of the four existing regions in half, creating three additional regions for a total of seven regions.
4. Notice a pattern: with each new straight line added, the number of new regions it creates is equal to the line's order (i.e., the 1st line creates 1 new region, the 2nd line creates 2 new regions, the 3rd line creates 3 new regions, and so on).
5. To find the total number of regions for $n$ straight lines, sum the number of new regions created by each line. This is a simple arithmetic progression, so you can use the formula for the sum of an arithmetic series:
$$\frac{n(n+1)}{2}$$
6. Thus, when $n$ infinitely long straight lines lie on a plane in such a way that no two of the lines are parallel and no three of the lines intersect at a single point, the arrangement divides the plane into $\frac{n^2 + n}{2}$ regions.
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the probability that a randomly selected case will have a score beyond either +1.00 or -1.00 standard deviation of the mean is select one a 6826
b 5000 c 3174 d 1/2 of the area of 1 standard deviation
Correct option is (c) 3174
The probability that a randomly selected case will have a score beyond either +1.00 or -1.00 standard deviation of the mean depends on the type of distribution and the area under the curve beyond these values.
Assuming a normal distribution, approximately 68% of the cases fall within one standard deviation from the mean, and approximately 32% of the cases fall beyond either +1.00 or -1.00 standard deviation of the mean.
To calculate the probability of a randomly selected case falling beyond either +1.00 or -1.00 standard deviation of the mean, we need to calculate the area under the curve beyond these values. Since the distribution is symmetric, we can calculate the area on one side of the mean and multiply it by 2.
Using a standard normal distribution table or calculator, we can find the area under the curve beyond +1.00 standard deviation from the mean as 0.1587 and the area under the curve beyond -1.00 standard deviation from the mean as 0.1587.
Therefore, the total probability of a randomly selected case falling beyond either +1.00 or -1.00 standard deviation of the mean is 0.1587 + 0.1587 = 0.3174, which is approximately 32%.
Hence, the correct option is (c) 3174.
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Harold will drive 330 more miles at the same rate how long will it take care old to drive 330 miles
Assuming he drives at a speed of 60 miles per hour, it will take him 5.5 hours to drive the 330 miles.
How long does it takes him to drive the 330 miles?If Harold drives 330 more miles at the same rate of 60 miles per hour, we can use the formula:
distance = rate x time
Let t be the time in hours it takes to drive the additional 330 miles. Then we have:
330 = 60t
Solving for t, we get:
t = 330/60
t ≈ 5.5 hours
Therefore, it takes approximately 5.5 hours to drive the additional 330 miles at a rate of 60 miles per hour.
Full question "Harold will drive 330 more miles at the same rate. Assume he drives at a speed of 60 miles per hour, how long does it take to drive the 330 miles?'
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Grace wants to buy carpet to cover her whole living room, except for the tiled floor. The tiled
floor is 6ft by 3-ft. Find the area the carpet needs to cover.
Therefore, the area that the carpet needs to cover is: LW - 18 square feet.
What is area?Area is a mathematical term that refers to the amount of space occupied by a two-dimensional object or shape. It is typically measured in square units such as square feet, square meters, or square inches.
Here,
If the tiled floor is excluded from the area that needs to be covered by the carpet, then we need to find the area of the living room without the tiled floor and add the tiled floor's area to it.
Let's assume that the living room is a rectangular shape with length L and width W.
The area of the living room without the tiled floor is:
Area = L x W - (6 x 3) (since the tiled floor has an area of 6 ft x 3 ft)
Area = LW - 18 square feet
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50 Points!!! Are the Factor Theorem and Synthetic Division the same? If not, explain the difference.
Answer:
The Factor Theorem and Synthetic Division are not the same. The Factor Theorem states that if a polynomial f(x) has a root c, then x - c is a factor of f(x). Synthetic Division is a way of dividing a polynomial by a binomial.
Step-by-step explanation:
To use Synthetic Division, you first need to find the coefficients of the polynomial. Then, you set up the synthetic division table with the binomial on top and the coefficients of the polynomial on the bottom. Starting with the first coefficient, you multiply it by the first term of the binomial and write the product below the coefficient. Then, you add the two numbers below the product and write the sum below that. Continue until you reach the end of the binomial. The remainder at the bottom of the table is the remainder when f(x) is divided by x - c.
If the remainder is 0, then x - c is a factor of f(x).
23. (p. 434-435) Which of the following factors work to reduce conflict and promote positive interaction between grieving couples who have lost a child by death?
1. Open and honest communication
2. Expressing emotions in each other's company
3. Crying separately to minimize the open grief and pain
4. Ability of partners to reframe each other's behavior in a positive way
A. 1, 2, and 3
B. 1, 2, and 4
C. 1, 3, and 4
D. 2, 3, and 4
The following factors work to reduce conflict and promote positive interaction between grieving couples who have lost a child by death is open and honest communication, expressing emotions in each other's company, and the ability of partners to reframe each other's behavior in a positive way. The correct option is B. 1, 2, and 4
When grieving couples lose a child due to death, it can lead to tension in their relationship, leading to conflicts between the couple. However, some factors work to reduce conflicts and promote positive interaction between grieving couples who have lost a child by death.
These factors include the following:
:Open and honest communication: Open communication is essential when it comes to expressing emotions, needs, and expectations from one another. It helps to build understanding, trust, and positive interaction between the couples. Honest communication provides room for clarification and better comprehension of each other's feelings and needs
Reframing each other's behavior in a positive way helps to build a healthy relationship and reduce conflicts.Crying separately to minimize the open grief and pain: Crying separately does not help reduce conflicts between the couple as it promotes distance and an unhealthy way of dealing with grief. It is important to grieve together and find support from each other to heal and move forward.
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what is the slope of the line of best-fit in the scatterplot below?on a graph, a trend line goes through points (3, 12) and (6, 19).
The slope of the line of best fit in the scatterplot below can be determined using the formula for the slope of a line:
Slope = (y2-y1)/(x2-x1)
In this case, x1 = 3, y1 = 12, x2 = 6, y2 = 19. So, the slope of the line of best fit is (19 - 12) / (6 - 3), which equals 7/3 or 2.33.
The line of best fit is the line that best represents the data on a scatterplot. It is the line that is closest to all the data points in the graph. The slope of the line of best fit helps to indicate whether the data points are moving in a positive or negative direction. If the slope is positive, the data points are increasing, and if the slope is negative, the data points are decreasing.
A positive slope, like the one in this example, means that as x increases, y also increases. This means that in this case, as the x-values (3 and 6) increase, the y-values (12 and 19) also increase.
The slope of the line of best fit can also be used to make predictions about values of y, given values of x. For example, if x = 8, then y = 26, because the slope of the line of best fit is 2.33, and 8*2.33 = 19.8, which is approximately equal to 26.
Overall, the slope of the line of best fit on this scatterplot is 2.33, which is a positive number. This indicates that as the x-values increase, the y-values also increase, and it can also be used to make predictions about y-values, given x-values.
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A four-sided figure is resized to create a scaled copy. The lengths of its four sides
change as in the table below.
Original Figure Scaled Copy
64
88
104
8
11
13
Find the constant of proportionality from the original figure
to the scaled copy. Express your answer as a fraction in
reduced terms.
1
The scale of proportionality is given as 8 from the table that you have presented
How to solve for the scale of proportionalityThe table here was not properly arranged in the question. I have done so below
64 88 104
8 11 13
lets say that 8p = 64
then p = 64 / 8
p = 8
we would have to determine if the value 8 when multiplied with scaled factor would be able to give us the original factor
8 * 11 = 88
8 * 13 = 104
Hence the scale of proportionality is given as 8
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a certain positive integer has exactly 8 factors. two of these factors are 15 and 21. what is the sum of all eight factors?
The sum of all eight factors is 96
Let's express the integer as a product of its prime factors, in the form
n = p1^a1 × p2^a2 × ... × pn^an
where p1, p2, ..., pn are prime numbers and a1, a2, ..., an are positive integers.
We know that the integer has 8 factors, which means that its prime factorization must have the form:
n = p1^2 × p2^2 × p3^4
since (2+1) × (2+1) × (4+1) = 3 × 3 × 5 = 45, which is the total number of factors for this product.
We also know that 15 and 21 are factors of the integer, so they must be expressible in terms of the prime factors of n. We can write
15 = 3 × 5 = p1 × p2
21 = 3 × 7 = p1 × p3
From these expressions, we can see that p1 = 3, p2 = 5, and p3 = 7.
Therefore, the prime factorization of n is
n = 3^2 × 5^2 × 7^4
The eight factors of n are
1, 3, 5, 7, 9, 15, 21, and 35
Their sum is
1 + 3 + 5 + 7 + 9 + 15 + 21 + 35 = 96
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excel a university found that 5% of its students who enroll in an introductory statistics class withdraw. assume 90 students have registered for an introductory statistics course this semester. (a) what is the probability that no student will withdraw from the course?
The probability that no student will withdraw from the course is approximately 0.008 or 0.8%, assuming a binomial distribution with n=90 and p=0.05.
Since each student's decision to withdraw or not is independent of others, we can model the number of students who withdraw as a binomial random variable with n=90 and p=0.05.
To find the probability that no student will withdraw from the course, we want to find P(X=0), where X is the number of students who withdraw. This is given by the binomial probability mass function:
P(X=0) = (n choose 0) * p^0 * (1-p)^(n-0) = (90 choose 0) * 0.05^0 * 0.95^90
Using a calculator or software, we find:
P(X=0) ≈ 0.008
Therefore, the probability that no student will withdraw from the course is approximately 0.008 or 0.8%.
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In ∆DEF, m∠D=42°, m∠E=63°, and EF=24 in. What is DE to the nearest tenth of an inch? *Hint: Law of Sines
DE is approximately 30.3 inches to the nearest tenth of an inch.
Describe Law of Sines?The Law of Sines is a trigonometric formula used to find unknown sides and angles in any triangle, whether it is acute, obtuse, or right-angled. It relates the lengths of the sides of a triangle to the sine of the opposite angle.
The formula for the Law of Sines is:
a/sin(A) = b/sin(B) = c/sin(C)
where a, b, and c are the lengths of the sides of the triangle, and A, B, and C are the measures of the opposite angles.
We can use the Law of Sines to solve for DE.
The Law of Sines states that for any triangle ABC,
a/sin(A) = b/sin(B) = c/sin(C)
where a, b, and c are the side lengths opposite the angles A, B, and C, respectively.
In this case, we know that:
m∠D = 42°
m∠E = 63°
EF = 24 in.
Let x be the length of DE.
Then, applying the Law of Sines to ∆DEF, we have:
x/sin(63°) = 24/sin(42°)
Solving for x, we get:
x = (24*sin(63°))/sin(42°) ≈ 30.3
Therefore, DE is approximately 30.3 inches to the nearest tenth of an inch.
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I need help with this please ASAP people keep on skipping I need help
Answer:
To create a line plot for this data, we can first convert all the fractions to a common denominator, such as eighths:
Monday: 6/8 of an hour
Wednesday: 4/8 of an hour
Friday: 2/8 of an hour
Sunday: 4/8 of an hour
Then, we can draw a number line with tick marks representing each day of the week and plot a dot for each amount of time spent working out:
0 1 2 3 4
|---------|---------|---------|---------| <- Number line
. .
. .
. .
. .
To find out how much time June should work out each day to spend an even amount of time working out, we can first find the total amount of time she spent working out:
6/8 + 4/8 + 2/8 + 4/8 = 16/8 = 2 hours
Since there are four days she worked out, to find out how much time she should work out each day, we can divide the total time by four:
2 hours ÷ 4 = 0.5 hours
Therefore, June should work out for 0.5 hours, or 30 minutes, each day to spend an even amount of time working out.
Some people on this app scare me-
Sure, some people here are nice but some are just straight up rude and some are just creepy.. one random person on here literally called me "puppy girl" ..
I'm hoping all of these 30 yr olds on this app get off and actually have something to do with their life ..
There was this one person that said, 'hey how old are you?' of course I lied. then another asking me to change my profile to something inappropriate.
the width of this rectangle is 1/3 of the length. Find the width of the rectangle
Answer:
length = 42 in , width = 14 in
Step-by-step explanation:
given the width is [tex]\frac{1}{3}[/tex] of the length , then
y - 4 = [tex]\frac{1}{3}[/tex] (2y + 6) ← multiply both sides by 3 to clear the fraction
3y - 12 = 2y + 6 ( subtract 2y from both sides )
y - 12 = 6 ( add 12 to both sides )
y = 18
then
length = 2y + 6 = 2(18) + 6 = 36 + 6 = 42 in
width = y - 4 = 18 - 4 = 14 in
Please help anyone!!
what is the answer to this question
Option D : Matching a 3D shape to its net requires visual spatial reasoning and knowledge of geometry.
A net is a two-dimensional pattern that can be folded to form a three-dimensional shape. It shows how the faces of a 3D shape are connected and arranged in a flat layout. The process of making a net involves taking apart a 3D object and flattening it out without stretching or bending any of the faces.
A net must accurately represent the dimensions and features of the 3D shape it represents, such as the shape and size of each face, the number of edges and vertices, and the angles between the faces.
Some common 3D shapes that can be represented by nets include cubes, pyramids, prisms, cylinders, and cones. Nets can be created using various methods, such as drawing them by hand, using computer software, or printing them from online sources. When constructing a 3D object from a net, it is important to fold and join the edges carefully to ensure that the final shape is accurate and stable.
Therefore, the correct net that matches the 3D shape is option D.
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Consider the expression (x2−9)(x+4). Select all the values of x for which (x2−9)(x+4)=0
Answer:
X= 567890
Step-by-step explanation:
Answer:
See below, please.
Step-by-step explanation:
Using the zero product property, we can set each factor equal to zero and solve for x:
(x² - 9)(x + 4) = 0
(x² - 9) = 0 or (x + 4) = 0
For the first factor, we can factor it further as the difference of squares:
(x + 3)(x - 3) = 0
So, either (x + 3) = 0 or (x - 3) = 0, giving us:
x = -3, x = 3, or x = -4
Therefore, the values of x for which (x² - 9)(x + 4) = 0 are -3, 3, and -4.
we have data that is a continuous variable. it is a measurement of time between events. this is a situation where we should evaluate a histogram for a likely exponential distribution. group of answer choices true false
The statement "we have data that is a continuous variable. it is a measurement of time between events. this is a situation where we should evaluate a histogram for a likely exponential distribution" is true because when dealing with continuous data representing time between events, it is common to evaluate a histogram to determine if it follows an exponential distribution.
If the data represents the time between events and it is a continuous variable, it is common to evaluate the histogram to see if it follows an exponential distribution. The exponential distribution is often used to model the waiting time between independent events that occur at a constant average rate, and it has a continuous range of values that can be plotted as a histogram.
To evaluate whether the data follows an exponential distribution, you can plot a histogram and visually check if it has a single peak and a decreasing tail, which are characteristic of the exponential distribution. You can also use statistical tests such as the Kolmogorov-Smirnov test or the Anderson-Darling test to assess the goodness-of-fit between the data and the exponential distribution.
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Pls help due today…..
Please
The value of the sides and angle are;
a = 35. 58
c = 35. 93
x = 8 degrees
How to determine the valuesIt is important to note the different trigonometric identities and their ratios.
They are represented as;
tan θ = opposite/adjacent
cos θ = adjacent/hypotenuse
sin θ = opposite/hypotenuse
From the diagram given, we have;
tan 82 = a/5
cross multiply the values
a = 7.1153(5)
a = 35. 58
Using the Pythagorean theorem;
c² = 35. 8² + 5 ²
Find the values
c² = 1265. 93 + 25
c = 35. 93
The sum of angles in a triangle is 180
90 + 82 + x = 180
x = 180 - 172
x = 8 degrees
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The graph below shows the relationship between life expectancy and infant mortality in a random sample of countries.
Answer choices.
Positive linear association
Negative linear association
Non linear association
No association
Answer:
negative linear association
Step-by-step explanation:
The best description of the association between life expectancy and infant mortality rate in the given graph is option B. Countries with higher infant mortality rates tended to have shorter life expectancies.
The negative linear association between life expectancy and infant mortality rate in the attached graph,
Life Expectancy,
Life expectancy refers to the average number of years a person is expected to live from birth.
In the graph, life expectancy is represented on the vertical axis (y-axis).
Infant Mortality Rate,
Infant mortality rate refers to the number of deaths of infants under one year of age per 1,000 live births.
In the graph, the infant mortality rate is represented on the horizontal axis (x-axis).
Negative Linear Association,
A negative linear association means that as one variable increases, the other variable tends to decrease at a consistent rate.
here, as the infant mortality rate increases (moving right on the x-axis), the life expectancy tends to decrease (moving down on the y-axis).
Interpretation,
Looking at the graph, we can see that countries with higher infant mortality rates are positioned towards the right side of the graph,
and they tend to have shorter life expectancies, which are positioned towards the bottom of the graph.
Conversely, countries with lower infant mortality rates are positioned towards the left side of the graph, and they tend to have longer life expectancies,
which are positioned towards the top of the graph.
Implication,
The negative linear association in the graph indicates that countries with higher rates of infant mortality are likely to have lower life expectancies.
This is because higher infant mortality rates often indicate poorer healthcare systems, lower living standards,
and other factors that can impact life expectancy negatively.
Therefore, based on the graph's trend, we can conclude that the statement B is the best description of the association between life expectancy and infant mortality rate.
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The above question is incomplete , the complete question is :
The Graph Below Shows The Relationship Between Life Expectancy And Infant Mortality Rate In A Random Sample Of Countries.
Which statement is the best description of the association between these variables? Choose all that apply.
A. Countries with higher infant mortality rates tended to have longer life expectancies.
B. Countries with higher infant mortality rates tended to have shorter life expectancies.
C. There is no clear relationship between infant mortality rates and life expectancy.
Attached graph.
ILL GIVE THE BRAINLIEST
Answer:1, -.66 repeating, 1.25
Step-by-step explanation i turned them into decimals
24/8x-1/3= -1
-2/5x5/3= -.66 repeating
-5/6x-3/2= 1.25
What is the exact value of side x in the Trina for below? 20in 30 degree and X?
According to the question, the exact value of side x in the Trina are 34.641016151377546in.
What is value?Value is an intangible concept that refers to the worth of something, whether it is tangible or intangible. It is based on the perceived benefits and costs associated with the thing in question. Value can be subjective, as different people may place different worth on the same item. Value can also be objective, as there may be a set market price for a certain item.
The exact value of side x in the triangle can be determined by using the law of sines. The law of sines states that the ratio of the length of a side to the sine of its opposite angle is the same for all sides of a triangle.
Therefore, we can set up the following equation:
(20in/sin30°) = (x/sin60°)
Solving for x, we get:
x = 20in×(sin60°/sin30°)
x = 20in×(√(3)/1)
x = 20in×√(3)
x = 34.641016151377546in
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The exact value of side x in the Trina, according to the question, is 34.641016151377546in.
What is Exact value?Where you cannot predict the value, you must be specific. An exact number is a value that can be determined with absolute precision. Counted quantities of objects or sure unit conversions are examples of exact numbers.
The term "approximate number" refers to a number that is close to the precise number, and there is always a difference among exact and approximate numbers. For instance, are exact integers because no approximation is required.
As a result, we can construct the following equation:
(20in/sin30°) = (x/sin60°)
Solving for x, we get:
x = 20in×(sin60°/sin30°)
Simplify the above equation,
x = 20in×(√(3)/1)
x = 20in×√(3)
The value of x is,
x = 34.641016151377546in
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The complete question is,
What is the exact value of side x in the Trina for below? 20in 30 degree and X? Determine the exact value of side x.
an individual was making blankets for some friends. the individual used 7.2 feet of fabric to make one blanket. how many feet of fabric will the individual need to make 11 blankets (round to the nearest whole number)?
The number of feet of fabric will the individual need to make 11 blankets is 79.2 feet
To find out how many feet of fabric the individual will need to make 11 blankets, we can use the unitary method.
We know that the individual used 7.2 feet of fabric to make one blanket. So, to find out how much fabric is needed to make 11 blankets, we can set up a proportion
7.2 feet of fabric is needed for 1 blanket
x feet of fabric is needed for 11 blankets
We can solve for x by cross-multiplying and then dividing
7.2 × 11 = x
x = 79.2 feet
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what is the smallest font size doug should use in the text on his slides? group of answer choices 20 points 24 points
The smallest font size that Doug should use in the text on his slides is 24 points.
The reason for this is that smaller font sizes can make the text difficult to read, especially from a distance.
According to industry standards, the recommended minimum font size for slide presentations is 24 points.
This is because smaller font sizes can be challenging to read, especially if the audience is sitting at the back of the room or if the slides are being viewed on a small screen.
While 20 points may seem like a reasonable font size, it's still small enough to make it difficult for some people to read the text.
Therefore, to ensure that all members of the audience can read the text on the slides, it's best to use a font size of at least 24 points.
In addition to using a larger font size, it's also essential to use a clear and legible font.
Sans-serif fonts such as Arial, Helvetica, or Calibri are recommended for presentations as they are easy to read, even from a distance.
It's also important to keep the contrast between the text and the background high to make it easier to read the text.
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a. Is there a value of x, for -3≤x≤2, such that g(x)= 0
b. Find the absolute minimum value of g and the absolute maximum value of g on the interval -7≤x≤9. Justify your answer.
For x = -2, g(-2) = 2(-2)^3 - 5(-2)^2 + 4(-2) - 1 = 0, so there is a value of x such that g(x) = 0 for -3 ≤ x ≤ 2.
The absolute minimum value of g on the interval -7 ≤ x ≤ 9 is -765, and the absolute maximum value of g on the interval is 1720.
How to Solve the Problem?a. To determine if there is a value of x such that g(x) = 0 for -3 ≤ x ≤ 2, we can plug in each value of x in the interval into the equation and see if we get 0.
g(x) = 2x^3 - 5x^2 + 4x - 1
For x = -3, g(-3) = 2(-3)^3 - 5(-3)^2 + 4(-3) - 1 = -55, which is not 0.
For x = -2, g(-2) = 2(-2)^3 - 5(-2)^2 + 4(-2) - 1 = 0, so there is a value of x such that g(x) = 0 for -3 ≤ x ≤ 2.
b. To find the absolute minimum and maximum values of g on the interval -7 ≤ x ≤ 9, we can use the Extreme Value Theorem, which states that a continuous function on a closed interval will have both an absolute minimum and maximum value on that interval.
To find these values, we can take the derivative of g(x) and set it equal to 0 to find critical points, and then evaluate g(x) at those critical points as well as at the endpoints of the interval.
g(x) = 2x^3 - 5x^2 + 4x - 1
g'(x) = 6x^2 - 10x + 4 = 2(3x-2)(x-1)
Setting g'(x) = 0, we get critical points x = 2/3 and x = 1.
g(-7) = -765, g(2/3) = -23/27, g(1) = 0, and g(9) = 1720.
Therefore, the absolute minimum value of g on the interval -7 ≤ x ≤ 9 is -765, and the absolute maximum value of g on the interval is 1720.
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Please help I’ll give brainliest
The standard form is 5x²-2x-4=0
A quadratic equation can be written in other forms.
Standard Form: ax²+bx+c=0
Vertex Form: a (x - h)2 + k = 0
Intercept Form: a (x - p)(x - q) = 0
This equation is called 'quadratic' as its degree is 2
The standard form of a quadratic equation is also known as its general form.
ax²+bx+c=0
with the conditions : a ≠ 0, and a, b, and c are real numbers
'a' is the coefficient of x²
'b' is the coefficient of x
'c' is the constant
here a= 5 b= -2 c= -4
Shift all the terms to one side and write in standard quadratic equations
=> 5x²-2x+1-5=0
=> 5x²-2x-4=0
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The shaded area in the decimal grid below represents the amount of money that Karla has. She plans on dividing the money evenly between her three younger brothers. Her brothers are planning to spend the money on pieces of candy that cost $0.10 each.
What will be the maximum number of pieces of candy that each brother can buy?
(The large square of the grid represents $1.00 and each small square represents $0.01.)
Karla's three brothers can buy a maximum of 4 pieces of candy if they divide the money evenly.
What is division?
Division is a mathematical operation that involves splitting a quantity into equal parts or groups. It is one of the four basic arithmetic operations, along with addition, subtraction, and multiplication. Division is denoted by the symbol "÷" or "/", and it is usually expressed as a fraction or a quotient.
To solve this problem, we need to determine the amount of money represented by the shaded region. Here are the steps:
Count the number of small squares in the grid. For example, if the grid has 10 rows and 10 columns, there are 100 small squares in total.Determine the value of each small square. For example, if the large square of the grid represents $1.00, each small square represents $0.01.Multiply the number of shaded cells by the value of each small square to find the total amount of money represented by the shaded region.Assuming that each small square represents $0.01 and there are 143 shaded cells, the total amount of money represented by the shaded region is:
143 cells x $0.01/cell = $1.43
Now, we need to divide $1.43 evenly among Karla's three brothers to find the maximum number of pieces of candy each brother can buy.
$1.43 ÷ 3 = $0.476666...
Since we cannot buy fractional pieces of candy, we need to round down to the nearest whole number. Therefore, each of Karla's three brothers can buy a maximum of:
$0.47 ÷ $0.10/piece = 4 pieces of candy
So each of Karla's three brothers can buy a maximum of 4 pieces of candy if they divide the money evenly.
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help i don’t know how to solve number 11, please
Answer: 21, 32. 6, 12.
Step-by-step explanation:
10 + 3d = 43. 3d = 33. d = 11.
3 x [tex]r^{3}[/tex] = 24. [tex]r^{3}[/tex] = 8. r = 2.
A rhombus has an area of 20 cm^2. One diagonal is 10 cm. What is the other diagonal
The other diagonal of the rhombus is 4 cm.
The other diagonal of the rhombus can be found using the formula for the area of a rhombus, which is A = (d₁ × d₂)/2, where d₁ and d₂ are the lengths of the diagonals.
We're given that the area of the rhombus is 20 cm² and that one diagonal (d1) is 10 cm. Plugging these values into the formula, we get:
20 = (10 × d₂)/2
Simplifying, we get:
20 = 5 d₂
Dividing both sides by 5, we get:
d₂ = 4
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A group of workers can plant 56 acres in 8days.
What is their rate in acres per day?
Answer: I believe the answer is 7
Step-by-step explanation:
To solve this I just divided 56 by 8, the answer then is 7. Hope this helps!!!
pre-event tickets for a local theater fundraiser cost $35 and $40 for at-the-door tickets. organizers sell a total of 250 tickets and generate a total revenue of $9,375. how many pre-event and at-the-door tickets were sold?
This can be calculated by multiplying the number of tickets sold by their respective prices: 200 x $35 = $7,000 and 50 x $40 = $2,375.
The local theater fundraiser sold 200 pre-event tickets at $35 each and 50 at-the-door tickets at $40 each to generate a total revenue of $9,375. This can be calculated by multiplying the number of tickets sold by their respective prices: 200 x $35 = $7,000 and 50 x $40 = $2,375.
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