Answers
Answer:
Step-by-step explanation:
The length of the midsegment is half of the base in this case.
12x = 8x + 40
4x=40
x=10
So it's 60
Answer:
60
Step-by-step explanation:
Related Questions
problem 6. a population of bacteria, growing according to the malthusian model, doubles itself in 10 days. if there are 1000 bacteria present initially, how long will it take the population to reach 10,000?
Answers
Here the population growth is as per the Malthusian model. As per the calculations, the bacterial population will reach 10000 after 33 days.
Here the bacterial growth is as per the exponential growth curve. So the equation is,
\(P_{t} = P_{0} e^{rt}\)
\(P_{t}\) is the population at n
\(P_{0}\) is the initial population
r is the time
t is the rate
Population doubles after 10 days.
So, \(2000 = 1000e^{r*10} \\\\\frac{2000}{1000} = e^{10r}\\\\ 2 = e^{10r\\}\\\\\)
Taking logarithms on both sides
\(ln(2) = lne^{10r}\\\\10r = 0.693\\ \\r = 0.0693\)
So the rate is 0.0693.
When population reaches 10000,
\(10000 =1000e^{0.0693t}\)
\(\frac{10000}{1000} =e^{0.0693n}\)
\(10 = e^{0.0693*t}\\ \\ln(10) = ln(e^{0.0693t}\\ \\2.3 = 0.0693t\\\\t = 2.3/0.0693\\= 33.18\)
So the number of days to reach population of 10000 is 33.18≈ 33 days.
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Set up the definite integral required to find the area of the region between the graph of \( y=15-x^{2} \) and \( y=-3 x-3 \)
Answers
The definite integral to find the area between the curves \( y = 15 - x^2 \) and \( y = -3x - 3 \) is \(\int_{-3}^{4} (15 - x^{2} + 3x + 3) \, dx\).
The definite integral required to find the area of the region between the two curves is given by:
\[ \int_{a}^{b} (f(x) - g(x)) \, dx \]
where \( f(x) = 15 - x^{2} \) is the upper curve and \( g(x) = -3x - 3 \) is the lower curve. To determine the limits of integration, we need to find the x-values at the points of intersection of the two curves. Setting the equations equal to each other, we have:
\[ 15 - x^{2} = -3x - 3 \]
Simplifying and rearranging, we get:
\[ x^{2} - 3x - 12 = 0 \]
Factoring the quadratic equation, we have:
\[ (x - 4)(x + 3) = 0 \]
Therefore, the points of intersection are x = 4 and x = -3. The definite integral becomes:
\[ \int_{-3}^{4} (15 - x^{2} - (-3x - 3)) \, dx \]
Evaluating this integral will give us the area of the region between the two curves.
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the older of the two systems for greek numerals that inspired the roman numerals was known as the numerals.
Answers
The older of the two systems for Greek numerals that inspired the Roman numerals was known as the Attic numerals.
The Attic numerals were a system of numerals used by the ancient Greeks, particularly the Athenians. These numerals were developed around the 5th century BCE and were the precursor to the later Greek and Roman numeral systems. The Attic numerals were primarily based on the Greek alphabet, with each letter representing a specific numerical value.
In the Attic numeral system, the first nine letters of the Greek alphabet—alpha, beta, gamma, delta, epsilon, zeta, eta, theta, and iota—represented the values 1 to 9, respectively. The next nine letters—kappa, lambda, mu, nu, xi, omicron, pi, rho, and sigma—represented the tens from 10 to 90, respectively. The last six letters—tau, upsilon, phi, chi, psi, and omega —represented the hundreds from 100 to 900, respectively.
The Roman numeral system was heavily influenced by the Attic numerals. The Romans borrowed the idea of using letters to represent numbers but adapted and modified the system to create their own set of numerals. The Roman numerals used a combination of letters and subtraction rules to represent values. For example, the Roman numeral for 4 is "IV," which is obtained by subtracting 1 (I) from 5 (V). Similarly, the Roman numeral for 9 is "IX," obtained by subtracting 1 (I) from 10 (X).
In summary, the Attic numerals were the older Greek numeral system that served as the basis for the Roman numeral system. The Attic numerals used letters of the Greek alphabet to represent numerical values, and the Romans adapted and expanded upon this system to develop their own unique set of numerals.
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Complete Question
Fill in the blanks with correct answer:
The older of the two systems for greek numerals that inspired the roman numerals was known as the _______ numerals.
The older system for Greek numerals that inspired the Roman numerals was known as the Attic numerals. The Phoenician system served as the basis for the Greek adaptation
The older of the two systems for Greek numerals that inspired the Roman numerals was known as the Attic numerals. These numerals were used by the ancient Greeks and were derived from the earlier Phoenician system. Here is a step-by-step explanation of the connection between the two systems:
1. The Phoenician numerals: The Phoenician system was the precursor to the Greek numerals. The Phoenicians were a Semitic civilization who developed their own system of numerals. Their system consisted of symbols representing numbers and was based on a decimal system, similar to the system we use today.
2. The Greek adaptation: The ancient Greeks adopted the Phoenician system and made some modifications to create their own numerals. These modified numerals became known as the Attic numerals. The Greeks used these numerals in various contexts, including in their writing and on coins.
3. Influence on Roman numerals: The Roman numerals were directly influenced by the Attic numerals. The Romans adopted the Greek system of numerals, but they made further modifications and changes to suit their needs. The Roman numerals became widely used in the Roman Empire and are still used today in some contexts.
In conclusion, the older system for Greek numerals that inspired the Roman numerals was known as the Attic numerals. The Phoenician system served as the basis for the Greek adaptation, which then influenced the development of the Roman numerals. The Attic numerals played a significant role in the historical development of numerical systems.
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Before training for the obstacle course, Helena bought a new pair of athletic shoes. She placed the shoes on the floor next to each other and noticed that the right shoe looked just like a reflection of the left shoe. If she had accidentally purchased two left shoes, how would this comparison change?
Answers
The comparison of shoes placed on the floor by Helena next to each other change from reflection to translation.
What do you mean by reflection?The reflection of a plane or shape is flipping the original figure with respect to a reference line.
The rule of reflection are given below,
Reflection about x-axis (x,y)-->(x,-y)Reflection about y-axis (x,y)-->(-x,y)Before training for the obstacle course, Helena bought a new pair of athletic shoes.
She placed the shoes on the floor next to each other and noticed that the right shoe looked just like a reflection of the left shoe. This is because, the separating line works as the symmetry line between both the shoes.Now she had accidentally purchased two left shoes. Now, if she puts a left shoe to another left shoe, then it looks like the translated image of the first shoe.
Hence, the comparison of shoes placed on the floor by Helena next to each other change from reflection to translation.
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F/R/e/e points pog teehee
Answers
Answer: thank you
Step-by-step explanation:
Answer:
ty :)
Step-by-step explanation:
Evaluate A^2-B^2 for A=3 and B=-4.
Answers
Answer:
7
Step-by-step explanation:
3^2 = 9
(-4)^2 = 16
16-9= 7
Pls help with D ASAP.....
Answers
Answer:
(5,-3) is the answer to ur question
Answer:
(5,3)
Step-by-step explanation:
Li cut a 6-inch piece of string into pieces that are each ½ of an inch long. How many pieces of string did she cut?
Answers
Answer: 12
Step-by-step explanation: 6 times 2 is 12 and she has a 6 inch string and each peace is 1/2 inch long so she would have 12 peaces of string.
How do I Answer this question ? using the following directions.
Answers
Answer:
12-2n
Step-by-step explanation:
Difference means to subtract
Times means to multiply
A number would be the variable
Write the equation of the circle given the following information.Center: (-4,3)Diameter: 9
Answers
The equation of a circle is given by:
\(\lparen x-h)\placeholder{⬚}^2+\left(y-k\right)^2=r^2\)where (h,k) is the center and r is the radius.
In this case we know that the center of the circle is (-4,3). To find the radius we just need to remember that the radius is half the diameter, hence:
\(r=\frac{9}{2}\)Plugging the values for the center and the radius we have that:
\(\begin{gathered} \lparen x-\left(-4\right))\placeholder{⬚}^2+\left(y-3\right)^2=\lparen\frac{9}{2})^2 \\ \lparen x+4)\placeholder{⬚}^2+\left(y-3\right)^2=\frac{81}{4} \end{gathered}\)Therefore, the equation of the circle is:
\(\operatorname{\lparen}x+4)\placeholder{⬚}^2+\left(y-3\right)^2=\frac{81}{4}\)If the monetary multiplier is 6, then the reserve ratio must be:_______
a) 0.06.
b) 0.167.
c) 1.67.
d) 0.6.
Answers
The formula relating the monetary multiplier and the reserve ratio shows that as the monetary multiplier increases, the reserve ratio decreases. If the monetary multiplier is 6, the reserve ratio must be 0.167.
To determine the reserve ratio given the monetary multiplier, we can use the formula:
Monetary Multiplier = 1 / Reserve Ratio
Given that the monetary multiplier is 6, we can substitute this value into the formula:
6 = 1 / Reserve Ratio
To isolate the reserve ratio, we can take the reciprocal of both sides of the equation:
1 / 6 = 1 / (1 / Reserve Ratio)
1 / 6 = Reserve Ratio
Therefore, the reserve ratio must be 1/6 or approximately 0.167.
Among the given options, b) 0.167 represents the correct answer.
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What relationship do the ratios of sin x° and cos yº share?
a. The ratios are both identical (12/13 and 12/13)
b. The ratios are opposites (-12/13 and 12/13)
c. The ratios are reciprocals. (12/13 and 13/12)
d. The ratios are both negative. (-12/13 and -13/12)
Answers
The relationship between the ratios of sin x° and cos yº is that they are reciprocals. The correct answer is option c. The ratios of sin x° and cos yº are reciprocals of each other.
In trigonometry, sin x° represents the ratio of the length of the side opposite the angle x° to the length of the hypotenuse in a right triangle. Similarly, cos yº represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.
Since the hypotenuse is the same in both cases, the ratios sin x° and cos yº are related as reciprocals. This means that if sin x° is equal to 12/13, then cos yº will be equal to 13/12. The reciprocals of the ratios have an inverse relationship, where the numerator of one ratio becomes the denominator of the other and vice versa.
It's important to note that the signs of the ratios can vary depending on the quadrant in which the angles x° and yº are located. However, the reciprocal relationship remains the same regardless of the signs.
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8. Gianna is making bows for her cheerleading squad. She has 4 yards of ribbon to make the
bows. If each bow requires 1/5 a yard of ribbon, will she have enough ribbon to make 18 bows?
Answers
Using the concept of proportion, Gianna will have enough yards to make 18 bows
Will she have enough ribbon to make 18 bowsTo solve this problem, we need to apply the concept of proportions.
In order to make 1 bow, she needs 1/5 yard of ribbon
Representing this in an equation form will be;
1 bow = 1/5 yard
18 bow = x yard
cross multiply both sides and solve for x
x * 1 = 18 * (1/5)
x = 3.6 yards
From the above, there will be enough yards to make 18 bows.
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How many times would you expect to land on heads if you flipped a standard coin 250 times?
Answers
Answer:
125
Step-by-step explanation:
250/2=125 this is how many time you would expect to get heads
x = 0.6x + 384 what is x
Answers
Answer:
X=960
Step-by-step explanation:
x=0.6X +384
x-0.6X =384
0.4x=384
divide through by 0.4
X=960
Lytrisha claims that y=2 x^{2}+3 is a function, but not a linear function.Select the statement that supports Lytrisha's claim.
Answers
Answer:
B. The graph of the function does not form a straight line.
Explanation:
A linear function is a function whose graph forms a straight line.
In a linear function, the highest power of x is always 1.
Given the function:
\(y=2x^2+3\)The highest power of x is 2.
The statement that supports Lytrisha's claim is that 'the graph of the function does not form a straight line'.
What is the difference between repressed and recovered memories?
Answers
Recovered memory in CSA refers to the new development of abusive memories. Repressed memory is when the patient believes the CSA occurred, even though they have no specific memory of the event.
Recovered memory:
The term "recovered memory" implies that at some point the memory must become inaccessible to conscious awareness (as opposed to "continuous memory"). Although the term is not ideal, it is clear that people often fail to report important events, such as known hospitalizations (Loftus, 1993). In 1995, the debate over reclaiming memory was near its most violent climax. Hundreds of people have recovered memories of child sexual abuse (CSA), and sometimes in therapy it is thought that repressed or dissociative memories need to be recovered for a person to 'heal'.
Repressed Memory:
Repressed memory is a purported psychiatric phenomenon involving the inability to recall autobiographical information, usually traumatic or stressful. The concept has its origins in psychoanalytic theory, where repression is understood as a defense mechanism that keeps painful experiences and unacceptable impulses out of awareness. Repressed memory is a controversial concept, especially in a legal context, where it is used to unjustly and inaccurately accuse individuals, causing significant harm. Meanwhile, a working group from the American Psychological Association has stated that while "most people who were sexually abused in childhood remember some or all of what happened to them, it is possible to remember long-forgotten abuses.
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help me with maths pls
Answers
After answering the given query, we can state that the solutions to the simultaneous equations are (x, y) ≈ (3.1, 10.2) and (x, y) ≈ (-1.9, 0.2).
What is a linear equation?In mathematics, a linear equation has become one that takes the form y=mx+b. The inclination is B, and the y-intercept is m. Since y and x are variables, the preceding clause is frequently referred by the term a "linear equation involving two variables."
Bivariate linear equations are linear equations with two variables. Linear equations can be found in many places, including 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When the formula has the structure y=mx+b, where m denotes the slope and b the y-intercept, it is often referred to because of being quadratic.A mathematical equation is said to be linear if its solution has the form y=mx+b, where m stands for the slope and b for the y-intercept.
To show that 3y² - 10y - 24y¯47 = O, we need to find constants C and k such that |3y² - 10y - 24y¯47| ≤ C|y| for all y > k.
3y² - 10y - 24y¯47 ≤ 3y² + 10|y| + 24
3y² + 10|y| + 24 ≥ 3y² - 10y - 24y¯47 for y ≥ 5
C = 6:
|3y² - 10y - 24y¯47| ≤ 6|y| for y ≥ 5
3y² - 10y - 24y¯47 = O.
b) Using the result from part a), we can rewrite the simultaneous equations as:
3y² - 10y - 24y¯47 = O
y - 2x = 4
y = 2x + 4
3(2x + 4)² - 10(2x + 4) - 24y¯47 = O
12x² - 8x - 79 = O
x = (8 ± √(8² + 41279))/24
x ≈ 3.1 or x ≈ -1.9
y ≈ 10.2 or y ≈ 0.2
Therefore, the solutions to the simultaneous equations are (x, y) ≈ (3.1, 10.2) and (x, y) ≈ (-1.9, 0.2).
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Use the diagram below to find x and y.
Answers
The value of x and y in the triangle are calculated to be
x = 2y = 7 How to solve for x and yThe point o f intersection of the perpendicular lines is called the circumcenter.
Applying the property of the circumcenter
4x - 1 = 6x - 5
4x - 6x = -5 + 1
-2x = -4
x = 2
plugging x into 6x - 5
6 * 2 - 5 = 7
sin 33 = 7 / hypotenuse
hypotenuse = 7 / sin 33 = 12.85
also sin (4y + 1) = 7 / 12.85
4y + 1 = arc sin (7/12.85)
4y + 1 = 33
4y = 32
y = 8
Hence x is 2 and y is 8
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Share £405 in the ratio 2:3
Answers
£270 will be allocated to the first person and £135 will be allocated to the second person.
What is ratio?Ratio is a mathematical expression that is used to compare two or more quantities in relation to each other. It is usually expressed as a fraction or a decimal. Ratios are used to compare values, trends, and proportions. Ratios are essential for understanding the relationship between numbers and for making informed decisions. Ratios are often used in business, finance, economics, and other areas to measure performance and risk.
This is calculated by multiplying the total amount of £405 by the ratio 2:3.
The first person's ratio is 2 out of 5 and the second person's ratio is 3 out of 5.
Therefore, 2/5 of £405 is £270 and 3/5 of £405 is £135.
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samples of size 10 are selected from a manufacturing process. the mean of the sample ranges is 0.8. what is the estimate of the standard deviation of the population? (round your answer to 3 decimal places.)
Answers
The estimated standard deviation of the population is approximately 0.133 (rounded to 3 decimal places).
To estimate the standard deviation of the population, we will use the formula of the standard deviation using the sample means, also known as the standard error. The formula gives the standard error (SE):
SE = (s / √n)
Where:
s is the standard deviation of the sample means
n is the sample size
In this case, we know, the mean of the sample ranges is 0.8, but we don't have the exact sample data. As a result, we are unable to calculate the standard deviation (s).
However, we can an assumption that the sample ranges are normally distributed, which gives us the idea to use the relationship between the range and the standard deviation. For normally distributed data, the range is approximately equal to 6 times the standard deviation. Mathematically, we can express this as:
Range ≈ 6s
Given that the mean of the sample ranges is 0.8, we have the following:
0.8 ≈ 6s
Now, let's solve for s:
s ≈ 0.8 / 6 ≈ 0.133
So, the estimate of the population's standard deviation is approximately 0.133 (rounded to 3 decimal places).
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the mean cost of domestic airfares in the united states rose to an all-time high of $385 per ticket. airfares were based on the total ticket value, which consisted of the price charged by the airline plus any additional taxes and fees. assume domestic airfares are normally distributed with a standard deviation of $110. answer to four decimals. what is the probability domestic airfare is $250 or less.
Answers
The probability 11.1% of domestic airfares within the United States are $250 or less.
Define the term standard deviation?A square root of variance is used to calculate the standard deviation, a statistic that illustrates how distributed widely a dataset is in relation to its mean. By evaluating the deviation of each data point from the mean, the standard deviation may be approximated as the square root of variance.The formula for the z score is -
z = (x - μ)/σ
In which,
μ = mean = $385 per ticketσ = standard deviation = $110x = sample value = $250 or less.Substitute the value in formula.
P(x ≤ 250) = (250 - 385)/100
P(x ≤ 250) = -1.22
Select the p value from negative z score table;
P(x ≤ 250) = 0.111
P(x ≤ 250) = 11.1%
Thus, 11.1% of domestic flights within the United States are $250 or less.
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Help plssss lolllllll
Answers
Answer:
8
Step-by-step explanation:
you want to set it up like this
8/20 and 6/2x-1
then you cross multiply
so 8(2x-1) = 16x-8
and 20*6 = 120
then you do 120= 16x-8
add 8 to both sides (you want x by it's self so to get rid of a -8 you have to add 8)
128= 16x
(divide both sides by 16)
128/16= 8
8=x
Answer:
what they said↑↑↑
Step-by-step explanation:
Giving Brainliestttttttt to first answer that’s correct!
Answers
Answer:
I think C sorry if wrong
When 3/11 is written as a repeating decimal, which digits are repeating?
A) 27
B) 37
C) 73
D) 28
Answers
Answer:
27, a.
Step-by-step explanation:
3 ÷ 11 = 0.27272727272727
What type of event is composed of two or more separate events?
Answers
Answer:
A compound event
Step-by-step explanation:
compound event is more complex than a simple event, as it involves the probability of more than one outcome. Another way to view compound events is as a combination of two or more simple events
Lars bought a carton of
eggs for $2.19. He handed
the cashier $5.00. How
much change did Lars
receive?
Answers
Answer:
$2.81
Step-by-step explanation:
Because 5.00-2.19=2.81
Ally has 8 red marbles and 16 green marbles. She also has red bags and green bags. She wants to put marbles in the bags that match their color. Each bag will have the same number of marbles. What is the largest number of marbles she can put into each bag?
Answers
Answer:
The largest number of marbles she can put into each bag is 8 marbles.
Step-by-step explanation:
We solve the question above using Greatest common factor method
We find the factors of 8 and 16 and the Greatest number common to both factor is our answer.
Hence:
The factors of 8 are: 1, 2, 4, 8
The factors of 16 are: 1, 2, 4, 8, 16
Then the greatest common factor is 8.
Therefore, the largest number of marbles she can put into each bag is 8 marbles.
(PLEASE ANSWER!!! BRAINILEST! EXPLAIN!) I bought 1 pound of grapes for $3.75. I bought 4 pounds of strawberries for $15.63. Which is least expensive per pound? Explain your reasoning.
Answers
Answer:
1 pound for $3.75
if you divide $15.63 by 4, you would get 3.9075, which is more than $3.75
Step-by-step explanation:
1. Determine the following set of adjustments to the equation then draw the graph !!
a. 3u + y = 9: u, yec
b.3u-5y = 15; u, yer
please help sis
Answers
Answer:
y = -1 and u = 3.333
Step-by-step explanation:
The given equations are :
3u + y = 9 ...(1)
3u-5y = 15 ...(2)
Subtract equation (2) from (1).
3u + y-( 3u-5y)= 9 -15
y+5y = -6
6y = -6
y = -1
Put the value of y in equation (1).
3u + (-1) = 9
3u-1 = 9
3u = 10
u = 10/3
u = 3.333
The attached figure shows the graph for the above equations.
