Answer: Any isosceles triangle is a counter example. More specifically, a triangle with sides 7, 7 and 3
When forming your triangle, make sure you apply the triangle inequality theorem. This is the idea where adding any two sides leads to a result larger than the third side. So we have
7+7 = 14 which is larger than 3
7+3 = 10 which is larger than 7
By definition, an isosceles triangle has two congruent sides. Some books say "at least 2 congruent sides", but I'll go with the first definition. If you want all three sides to be congruent, then you'd go for the term "equilateral".
simplify the ratio 1/2 to 3/4
1/2 : 3/4 = 2 : 3 is the answer
Where should he plot he third point
Answer:
I think he should plot the point at (4, 2)
The attachment is a repost showing what I see if Jeff attaches the 3rd point to the listed points.
The length and breath of a rectangular garden are 2m 60cm and 4ft 8in respetively.find the diferences between the length and the breath in ft
Answer:
2m 60cm-4ft 8in=1.1776 meters which in feet
3.86351706 ft
Hope This Helps!!!
please please please please please
heeeeeeeeelp
Answer and I will give you brainiliest
9514 1404 393
Answer:
your marked choice is correct: x = e
Step-by-step explanation:
For the line to go through the origin, the ratio of ln(x) to x at the point must equal the slope at the point.
The slope of ln(x) is 1/x, so we require ...
ln(x)/x = 1/x
ln(x) = 1 . . . . . . multiply by x
x = e . . . . . . . . take antilogs
5. Ms. Sellers flew out to Utah to take her sons to college. If she flew 245.6
miles in 5.4 hours. How far did she fly in 1 hour?*
Answer:
Step-by-step explanation:
distance flown in 5.4 hours = 245.6 miles
distance flown in 1 hour = 245.6/5.4
= 45.481 miles
Hope this helps
plz mark as brainliest!!!!!
Answer: 49.12 miles
Step-by-step explanation:
You have to divide 245.6 by 5.4
I need help with this
The option that can be used to verify the trigonometric identity, \(tan\left(\dfrac{x}{2}\right)+cot\left(x \right) = csc\left(x \right)\) is option C;
C. \(tan\left(\dfrac{x}{2} \right) + cot\left(x \right) = \dfrac{1-cos\left(x \right)}{sin\left( x \right)} +\dfrac{cos \left(x \right)}{sin\left(x \right)} =csc\left(x \right)\)
What is a trigonometric identity?A trigonometric identity is an equations that consists of trigonometric functions that remain true for all values of the argument of the functions
The specified identity is presented as follows;
\(tan\left(\dfrac{x}{2} \right)+cot(x)=csc(x)\)
The half angle formula for tangent indicates that we get;
\(tan\left(\dfrac{1}{2} \cdot \left(\eta \pm \theta \right) \right) = \dfrac{tan\left(\dfrac{1}{2} \cdot \eta \right)\pm tan\left(\dfrac{1}{2} \cdot \theta \right)}{1 \mp tan\left(\dfrac{1}{2} \cdot \eta \right)\times tan\left(\dfrac{1}{2} \cdot \theta \right)}\)
\(\dfrac{tan\left(\dfrac{1}{2} \cdot \eta \right)\pm tan\left(\dfrac{1}{2} \cdot \theta \right)}{1 \mp tan\left(\dfrac{1}{2} \cdot \eta \right)\times tan\left(\dfrac{1}{2} \cdot \theta \right)}=\dfrac{sin \left(\eta\right) \pm sin\left(\theta \right)}{cos \left(\eta \right) + cos \left(\theta \right)} = -\dfrac{cos \left(\eta\right) - cos\left(\theta \right)}{sin \left(\eta \right) \mp sin \left(\theta \right)}\)
When η = 0, we get;
\(-\dfrac{cos \left(0\right) - cos\left(\theta \right)}{sin \left(0 \right) \mp sin \left(\theta \right)}=-\dfrac{1 - cos\left(\theta \right)}{0 \mp sin \left(\theta \right)}=\dfrac{1 - cos\left(\theta \right)}{sin \left(\theta \right)}\)
Therefore;
\(tan\left(\dfrac{x}{2} \right)=\dfrac{1 - cos\left(x \right)}{sin \left(x \right)}\)
\(cot\left(x \right) = \dfrac{cos(x)}{sin(x)}\)
\(tan\left(\dfrac{x}{2} \right)+cot(x)= \dfrac{1 - cos\left(x \right)}{sin \left(x \right)} +\dfrac{cos(x)}{sin(x)}\)
\(\dfrac{1 - cos\left(x \right)}{sin \left(x \right)} +\dfrac{cos(x)}{sin(x)}=\dfrac{1-cos(x)+cos(x)}{sin(x)} = \dfrac{1}{sin(x)}\)
\(\dfrac{1 - cos\left(x \right)}{sin \left(x \right)} +\dfrac{cos(x)}{sin(x)}=\dfrac{1}{sin(x)}=csc(x)\)
Therefore;
\(tan\left(\dfrac{x}{2} \right)+cot(x)= \dfrac{1 - cos\left(x \right)}{sin \left(x \right)} +\dfrac{cos(x)}{sin(x)} = csc(x)\)
The correct option that can be used to verify the identity is option C
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HELP PLEASE! VERY URGENT
Answer:
can i have brainlest pls
a group of 4 friends went to the fair. they each ordered a funnel cake and shared a large pack of candy that costed $6.50. they paid a total of $34.50. select TWO statements that are true about how to correctly find the cost of each funnel cake
The cost of each funnel cake from the obtained equation is $6.975.
Given that, a group of 4 friends went to the fair. They each ordered a funnel cake and shared a large pack of candy that costed $6.50.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the cost of each cake be x.
They paid a total of $34.50.
Now, 4x+6.50=34.40
⇒ 4x = 34.40-6.50
⇒ 4x = 27.90
⇒ x = 27.90/4
⇒ x = $6.975
Therefore, the cost of each funnel cake from the obtained equation is $6.975.
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Determine the period of the function f(t) 2.3cos0.25t
a period .25pi
b period 2pi
c period .5pi
d period 8pi
The period of the function f(t) = 2.3cos(0.25t) is 8π. Hence, the correct answer is d) period 8π.
To determine the period of the function f(t) = 2.3cos(0.25t), we need to consider the coefficient of t inside the cosine function.
In this case, the coefficient is 0.25, which represents the frequency of the cosine function. The period of a cosine function is given by the formula T = 2π/frequency.
Using this formula, we can calculate the period of the function f(t) as follows
T = 2π / 0.25
T = 8π
Therefore, the period of the function f(t) = 2.3cos(0.25t) is 8π.
Hence, the correct answer is d) period 8π.
The period of a function represents the length of one complete cycle or the distance between two consecutive identical points on the graph of the function. In this case, the function is a cosine function, and the period determines how long it takes for the function to repeat its values
The coefficient 0.25 in the function f(t) = 2.3cos(0.25t) affects the frequency of the cosine function. A smaller coefficient results in a slower oscillation, while a larger coefficient leads to a faster oscillation. In this case, since the coefficient is 0.25, it means that the function completes one full cycle within 8π units of time.
Understanding the period of a function is crucial for analyzing its behavior, identifying the frequency of oscillation, and studying its repetitive patterns.
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323.23 which is the digit in the hundreds
Answer:
3. iwjsndudinwksjdj
Step-by-step explanation:
sorry it has to be around 20 letters
Show from first principles that the derivative of a constant is zero
To show from first principles that the derivative of a constant is zero .
ExplanationWe have to prove that from the first principle the derivative of a constant is zero.
To prove :
If f(x) =c, for some constant c, then f'(x) = 0.
Proof :Suppose f(x) = c for some constant c.
Then the derivative of f(x) can be determined as
\(\begin{gathered} f^{\prime}(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h} \\ f^{\prime}(x)=\frac{c-c}{h} \\ f^{\prime}(x)=0 \end{gathered}\)Hence proved.
A bag contains 2 red marbles, 5 blue marbles, and 3 yellow marbles. What is the theoretical probability of picking a blue marble?
A.
2/9
B.
1/2
C.
4/9
D.
1/9
B. 1/2
The blue marbles are half of the marbles that there are, so that makes it 1/2 which is also counted as 50%.
Hope that helped:)
Expedia would like to test the hypothesis that the average round-trip airfare between Philadelphia and Paris is higher for a flight originating in Philadelphia when compared to a flight originating in Paris. The following data summarizes the sample statistics for round-trip flights originating in both cities. Assume that the population variances are equal.
Originating City
Philadelphia Paris
Sample mean $1,240 $1,060
Sample size 15 19
Sample standard
deviation $270 $240
If Population 1 is defined as flights originating in Philadelphia and Population 2 is defined as flights originating in Paris, the degrees of freedom for this hypothesis test are _____
(a) 33
(b) 32
(c) 34
(d) 28
Answer:
(b) 32
Step-by-step explanation:
From the information given :
sample mean of Philadelphia μ₁ = $1240
Sample size of Philadelphia n₁ = 15
Sample Standard deviation σ₁ = $270
sample mean of Paris μ₂ = $1,060
Sample size of Paris n₂ = 19
Sample Standard deviation of Paris σ₂ = $240
If Population 1 is defined as flights originating in Philadelphia and Population 2 is defined as flights originating in Paris;
the degrees of freedom for this hypothesis test can be calculated as;
degree of freedom df = n - 1
degree of freedom for both hypothesis test = (n₁ - 1 + n₂ -1)
degree of freedom for both hypothesis test = (n₁ + n₂ - 2)
degree of freedom for both hypothesis test = ( 15 + 19 - 2)
degree of freedom for both hypothesis test are 32
HELPP
You want to enclose a rectangular region with an area of
1200 square feet and a length of 40 feet, 50 feet, or 60 feet.
Find the perimeter for each possible region. Explain why
you might rewrite the area formula to find the solutions.
The possible perimeters are 140 feet, 148 feet and 160 feet.
In order to determine the width that would be used to determine the possible perimeters, the formula for the area would have to be rewritten.
What are the possible perimeters?A rectangle is a 2-dimensional quadrilateral with four right angles and two diagonals that bisect each other at right angles.
Area of a rectangle = length x width
Width = area / length
1200 / 40 = 30 feet
1200 / 50 = 24 feet
1200 / 60 = 20 feet
Perimeter of a rectangle = 2 x (length + width)
Perimeter when width is 30 feet : 2(40 + 30) = 140 feet
Perimeter when width is 24 feet : 2(24 + 50) = 148 feet
Perimeter when width is 20 feet : 2 (20 + 60) = 160 feet
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Part 1: Factorial!2. Explain the steps that you took to calculate it on your calculator.
Given:
a factorial 14! is given
Find:
we have to evaluate the given factorial
Explanation:
we know, the factorial 14! is calculated as following
14! = 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
14! = 87178291200
or
14! = 8.71783E10
Write an expression that represents the height of a tree that began at 6 feet an increases by 2 feet per year. Let y represent the number of years
Answer:
Yes.
Step-by-step explanation:
The expression 2y + 6 could be used to denote the tree's height.
What is an expression?A number, a variable, or a mixture of numbers and variables, along with operation symbols, make up an expression. Two expressions joined by an equal sign form an equation.
Given, the height of a tree that began at 6 feet and increases by 2 feet per year. Let y represent the number of years
Expression = 2y + 6
Since the height of the tree starts at 6 feet thus positive 6 would be constant and it increases by 2 feet every year thus 2 would be the multiple of the variable that is y.
therefore, an Expression that represents the height of the tree would be 2y + 6.
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what is the fraction if the denominator is 8
Step-by-step explanation:
1/8, 2/8, 3/8, 4/8, etc...
. A meteorologist forecast that Tuesday’s high temperature will be 5° Fahrenheit. Which number line shows the meteorologist’s predictions for the temperature on Tuesday?
Answer:
I think the answer is option D
The function below represents the height, in feet, of a baseball x seconds after being hit by a batter.
h(x) = -16x2 + 106x + 3.2
What does the y-intercept represent?
The y-intercept represent that the baseball hits the ground at 3.2 feet
What does the y-intercept represent?The function is given as:
h(x) = -16x^2 + 106x + 3.2
At the y-intercept, the value of x is
x = 0
So, we have:
h(0) = -16(0)^2 + 106(0) + 3.2
Evaluate
h(0) = 3.2
This means that the baseball hits the ground at 3.2 feet
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Which of the following units are units of capacity? Select all that apply.
There is a 22% chance it will rain tomorrow and a 6% chance of strong winds. What is the chance it will stay dry
Answer:
72% if I get it wrong then I'm really sorry
Step-by-step explanation:
The decorating committee for a
school banque decides to put flower
arrangements on cach table. Each
arrangement will have 3 white
carnations and 5 yellow carnations.
The committee will need 60 white
carnations. What is the total numbe
of white and yellow carnations the
committee will need?
show that the volume of the unit cube is one
Check the picture below.
Which of the following would be considered a ‘large’ effect size according to Cohen?
According to Cohen's guidelines, a "large" effect size is generally considered to be Cohen's d of 0.8 or higher. However, it is important to consider the specific field and context of the research when interpreting effect sizes.
According to Cohen's guidelines, an effect size can be classified as small, medium, or large. Cohen's d is a commonly used effect size measure, which is calculated by taking the difference between the means of two groups and dividing it by the pooled standard deviation.
The interpretation of what constitutes a "large" effect size can vary across different fields of study. However, Cohen proposed general guidelines for interpreting effect sizes:
Small Effect Size: Cohen's d around 0.2
A small effect size suggests that there is a noticeable, but not substantial, difference between the groups or conditions being compared. It is typically considered a modest effect.
Medium Effect Size: Cohen's d around 0.5
A medium effect size indicates a moderate difference between the groups or conditions. It is generally considered a meaningful effect that is noticeable and important.
Large Effect Size: Cohen's d around 0.8 or higher
A large effect size represents a substantial and substantial difference between the groups or conditions being compared. It is considered a strong and robust effect that is often considered highly significant.
It is important to note that these guidelines are not set in stone and can vary depending on the field of study, the specific research question, and the context of the research. Additionally, effect sizes can also be influenced by factors such as the measurement scale used, the specific statistical analysis, and the sample size.
In summary, according to Cohen's guidelines, a "large" effect size is generally considered to be Cohen's d of 0.8 or higher. However, it is important to consider the specific field and context of the research when interpreting effect sizes.
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1. In 2023, cities X and Y are nearly the same size and both are growing
rapidly. City X has a population of 100,000 and is growing at a continuous yearly rate
of 2.6%. The population of city Y is 90,000 and is growing at a continuous yearly rate
of 3.1%. Find each of the following.
(a) Assuming continued growth at the same rate, find a formula for the
population of city X at time t years after 2023.
(b) Assuming continued growth at the same rate, find a formula for the
population of city Y at time t years after 2023.
(c) Write and solve an equation that can be used to determine the number of
years it will take for the population of city Y to catch up to city X. Show your work pretty please!!!!
Answer:
Step-by-step explanation:
(a) To find the population of city X at time t years after 2023, we can use the formula:
P(t) = P(0) * e^(rt)
where P(0) is the initial population, r is the annual growth rate as a decimal, and e is the mathematical constant approximately equal to 2.71828.
Substituting the values given, we get:
P(t) = 100,000 * e^(0.026t)
(b) Similarly, for city Y, we have:
P(t) = 90,000 * e^(0.031t)
(c) To find the number of years it will take for the population of city Y to catch up to city X, we can set the two population formulas equal to each other and solve for t:
100,000 * e^(0.026t) = 90,000 * e^(0.031t)
Dividing both sides by 90,000 and taking the natural logarithm of both sides, we get:
ln(e^(0.026t)) = ln(e^(0.031t)) + ln(9/10)
0.026t = 0.031t + ln(9/10)
0.005t = ln(9/10)
t = ln(9/10) / 0.005
t ≈ 13.9 years
Therefore, it will take approximately 13.9 years for the population of city Y to catch up to city X.
What is the driving time for a 2100-mile trip if you drive at an average speed of 45 miles per hour?
Answer:
46 hours and 42 minutes
Step-by-step explanation:
2100/45 = 46.7
46 hours and 42 minutes
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A coach divided his team into two groups of equal size.
.
of the first group drinks at least 2 glasses of water a day
• 75% of the second group drinks at least 2 glasses of water a day.
What fraction of the team drinks at least 2 glasses of water a day?
Applying the percentages, and considering that 70% of the first group drinks at least 2 glasses of water a day, it is found that 0.725 = 72.5% of the team drinks at least 2 glasses of water a day.
The team is divided into two equal groups, hence, each represents 50%.
The percentages associated with drinking at least 2 glasses of water a day is:
70% of 50%(first group)75% of 50%(second group)Hence, applying the weighed percentage, the total percentage is:
\(T = 0.7(0.5) + 0.75(0.5) = 0.725\)
0.725 = 72.5% of the team drinks at least 2 glasses of water a day.
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How do I do this please help
Answer:
1. y= 1/3x+2
2.y=-3/4x-5
Step-by-step explanation:
what number is composed of 7 ones, 11 tenths, 12 hundredths and 41 thousandths?
The number that is composed of 7 ones, 11 tenths, 12 hundredths and 41 thousandths is 42,317
what number is composed of 7 ones, 11 tenths, 12 hundredths, and 41 thousandths?Let's just add all the given numbers so we get the number composed of 7 ones, 11 tenths, 12 hundredths and 41 thousandths.
First, 7 ones is trivial, this is:
7*1 = 7
Next 11 tenths, this is 11 times ten:
11*10 = 110
Now the 12 hundredths:
12*100 = 1200
Finally, the 41 thousandths:
41*1000 = 41,000
Now we just add these numbers so we get:
7 + 110 + 1,200 + 41,000 = 42,317
The number that is composed of 7 ones, 11 tenths, 12 hundredths and 41 thousandths is 42,317
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24is 40% of what number? Use the percent eqation.
Answer:
60
Step-by-step explanation:
40%=0.40
0.4x=24
x=24/0.4
x=60