Answer:
a surface of a cone looks like an hyperbolic cylinder
How to find which ratio is largest
A salmon fisherman caught 15 salmon and 12 were healthy. If he plans to
catch 150 salmon during the next month how many of those will be
UNHEALTHY?
The fisherman can expect to catch 120 unhealthy salmon during the next month.
We can use the proportion of unhealthy to healthy salmon that was seen in the fisherman's catch of 15 salmon (12 unhealthy, 3 healthy) and multiply that proportion by the total amount of salmon he plans to catch (150) to find our answer.
Unhealthy = 150 × (12/15)
Unhealthy = 120
Therefore, the fisherman can expect to catch 120 unhealthy salmon during the next month.
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what does 7g equal in like a verbal form
Answer:
see below
Step-by-step explanation:
7g can be "split" as 7 * g. The "*" means multiplication so a verbal form of this expression could be "7 times a number g" or "The product of 7 and a number g".
Mr. Heritage starts a new business, and to get it started he borrows $2 500 from a bank. If the loan is for two years, and the amount of interest for those two years is $175, what SIMPLE interest rate was he charged? (SIMPLE INTEREST: the principle and interest calculations dont change- they stay the same for the entire two year period!) BONUS- if he pays off the whole loan in the two years, what would his monthly bill be, (DON'T FORGET TO INCLUDE THE INTEREST CHARGE FOR HIS MONTHLY BILLS!!! YOU CAN ROUND YOUR CALCULATION TO THE NEAREST HUNDRETH- THAT IS, TO TWO DECIMAL PLACES...)
The rate of interest is given by the equation R = 3.5 %
What is Simple Interest?Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Given data ,
Let the rate of interest be represented as R
Now , the simple interest I = $ 175
The principal amount invested P = $ 2,500
The time period T = 2 years
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Rate of Interest = (Simple Interest x 100 ) / Principal Amount x Time Period )
Substituting the values in the equation , we get
Rate of Interest R = ( 175 x 100 ) / ( 2500 x 2 )
Rate of Interest R = 17500 / 5000
Rate of Interest R = 3.5 %
Hence , the interest rate is 3.5 %
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Pre calculus
Help me
Answer:
\(\displaystyle \frac{75}{2}\) or \(37.5\)
Step-by-step explanation:
We can answer this problem geometrically:
\(\displaystyle \int^6_{-4}f(x)\,dx=\int^1_{-4}f(x)\,dx+\int^3_1f(x)\,dx+\int^6_3f(x)\,dx\\\\\int^6_{-4}f(x)\,dx=(5*5)+\frac{1}{2}(2*5)+\frac{1}{2}(3*5)\\\\\int^6_{-4}f(x)\,dx=25+5+7.5\\\\\int^6_{-4}f(x)\,dx=37.5=\frac{75}{2}\)
Notice that we found the area of the rectangular region between -4 and 1, and then the two triangular areas from 1 to 3 and 3 to 6. We then found the sum of these areas to get the total area under the curve of f(x) from -4 to 6.
Answer:
\(\dfrac{75}{2}\)
Step-by-step explanation:
The value of a definite integral represents the area between the x-axis and the graph of the function you’re integrating between two limits.
\(\boxed{\begin{minipage}{8.5 cm}\underline{De\:\!finite integration}\\\\$\displaystyle \int^b_a f(x)\:\:\text{d}x$\\\\\\where $a$ is the lower limit and $b$ is the upper limit.\\\end{minipage}}\)
The given definite integral is:
\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x\)
This means we need to find the area between the x-axis and the function between the limits x = -4 and x = 6.
Notice that the function touches the x-axis at x = 3.
Therefore, we can separate the integral into two areas and add them together:
\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x=\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\)
The area between the x-axis and the function between the limits x = -4 and x = 3 is a trapezoid with bases of 5 and 7 units, and a height of 5 units.
The area between the x-axis and the function between the limits x = 3 and x = 6 is a triangle with base of 3 units and height of 5 units.
Using the formulas for the area of a trapezoid and the area of a triangle, the definite integral can be calculated as follows:
\(\begin{aligned}\displaystyle \int^6_{-4} f(x)\; \;\text{d}x & =\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\\\\& =\dfrac{1}{2}(5+7)(5)+\dfrac{1}{2}(3)(5)\\\\& =30+\dfrac{15}{2}\\\\& =\dfrac{75}{2}\end{aligned}\)
Find m/ABC.
A. 81°
B. 86°
C. 47°
D. 49.5°
99°
B
D
94%
The value of m ∠ABC=86° ,because of the cyclic quadrilaterals.
Hence, Option (B) is correct.
Since, We know that,
A cyclic quadrilateral is a four-sided polygon whose vertices all lie on a common circle.
The opposite angles of a cyclic quadrilateral have a total of 180°.
Hence, We can formulate;
m ∠ABC + m ∠ADC = 180°
m ∠ABC + 94° = 180°
m ∠ABC = 180° - 94°
m ∠ABC = 86°
Similarly, one can find m∠DCB
m∠DAB + m∠DCB = 180°
99° + m∠DCB = 180°
m∠DCB = 180° - 99°
m∠DCB = 81°
Hence, m∠ABC = 86°
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Im just needing help with problem 1 and 2
Answer:
for both 1 and 2 you need the 1st equation (p= 2w+2l)
Step-by-step explanation:
1.
p=2(10)+2(7)
p=20+14
p= 34
2.
p=2(100)+2(24)
p= 200+48
p= 248
Which triangle is △ABC similar to and why?
Answer:
can we get a picture
Step-by-step explanation:
The brain volumes (cm³) of 20 brains have a mean of 1085.2 cm³ and a standard deviation of 125.6 cm³. Use the
given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or
significantly high. For such data, would a brain volume of 1386.4 cm³ be significantly high?
If the brain volumes (cm³) of 20 brains have a mean of 1085.2 cm³ and a standard deviation of 125.6 cm³. For such data: it is significantly low for a brain because 1386.4 cm³ is less than the upper limit.
How to find the lower and upper limits?Mean = 1085.2 cm³
Standard deviation = 125.6 cm³
Hence,
Lower limit = Mean - 2 x Standard deviation
Lower limit =1085.2 - 2 x 125.6
Lower limit =1161.2 - 251.2
Lower limit =910
Upper Limit = Mean + 2 x Standard deviation
Upper Limit = 1161.2 + 2 x 125.6
Upper Limit =1161.2 +251.2
Upper Limit =1412.4
The limit of values is from 910 to 1412.4.
A value below 910 will be is considered low and a value above 1412.4 will be considered high
Therefore 1386.4 cm³ is less than the upper limit. Thus it is significantly low for a brain.
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The distance from Earth to the sun is about 9.3 × 107 miles. The distance from Jupiter to the sun is about 4.84 × 108 miles. How much closer is the Earth to the sun than Jupiter to the sun?
The earth is 3.91×10^8 miles closer to the sun than jupiter
What is distance?Distance is the space or gap between two points or bodies. It is a scalar quantity and measured in cm, m, km, miles e.t.c
The distance between the earth and the is 9.3×10^7 miles and the distance of Jupiter from the sun is 4.84×10^8 . This shows that the earth is closer to sun than Jupiter.
The dimension of how closer the earth is to the sun than Jupiter is therefore
( 4.84×10^8)-(9.3×10^7)= 3.91×10^8 miles
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Find the volume of the solid.
Answer:
64cm³
Step-by-step explanation:
( 4 x 4 x 4) cm x cm x cm
What number is 345% of 8.6?
Answer:
29.7
Step-by-step explanation:
To calculate this we need to convert the percentage to a decimal and then multiply. 345% is 3.45, so our math problem is 8.6 x 3.45. If you put that into a calculator you will get 29.67, but since the least precise number is to one decimal place (8.6), I put my answer to one decimal place as well - I rounded 29.67 to the nearest tenth.
if the edge of the circle lies four units directly up from the x-axis what is the length of BC? What is the distance from B to D?
By using what we know about circles and distance between points, we will see that:
BD = 18 units
BC = 16.97 units
What is the distance from B to D?
Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is given by:
\(d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\)
The distance from B to D, will be equal to the distance from B to A, minus the radius of the circle.
Because we know that the center of the circle is at (8, 10), and the edge of the circle is 4 units above the x-axis, we can assume that the closest point on the circle to the x-axis is:
(8, 4)
Then the radius of the circle is given by the distance between these two points:
\(r = \sqrt{(8 - 8)^2 + (10 - 4)^2} = 6\)
Now we need to find the distance between A and B.
A = (8, 10)
B = (0, 10 - 16*√2)
The distance between these points is:
\(d = \sqrt{(8 - 0)^2 + (10 - 10 + 16*\sqrt{2})^2 } \\\\d = \sqrt{(8)^2 + (16*\sqrt{2})^2 } = 24\)
And the distance from B to D is the distance from B to A, minus the radius of the circle, so we have:
BD = BA - r = 24 - 6 = 18
The distance from B to D is 18 units.
To get the value of BC, we use the fact that this is a cathetus of a right triangle with a hypotenuse of 18 units, and where the other side AC measures 6 units, then we have:
BC^2 + 6^2 = 18^2
BC = √(18^2 - 6^2) = 16.97 units.
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A physics textbook is placed on a spring scale in an elevator. Of the following, the scale shows the lowest reading when the elevator: (1) moves downward with increasing speed (2) moves upward with constant speed (3) remains stationary (4) moves upward with increasing speed (5) moves downward at constant speed
The scale shows the lowest reading when the elevator is moving upward with increasing speed (option 1).
What is the definition of speed?
Speed is a scalar physical quantity that measures how fast an object is moving. It is the distance traveled by an object in a certain amount of time, and is expressed in units of distance per unit time, such as meters per second (m/s), kilometers per hour (km/h), or miles per hour (mph).
Mathematically, speed can be represented as:
Speed = Distance/Time
Now,
The scale shows the lowest reading when the elevator is moving upward with increasing speed.
This is because the weight of the physics textbook is the force with which it is being pulled downwards by the Earth's gravity. When the elevator is moving upward with increasing speed, the force that the scale measures is less than the weight of the textbook because the elevator is also accelerating upwards, thereby reducing the normal force acting on the book.
This is described by the equation Fnet = ma, where Fnet is the net force acting on the book, m is its mass, and a is the acceleration of the elevator. When the elevator moves upward with increasing speed, the acceleration a is positive but less than g, the acceleration due to gravity. Therefore, the net force acting on the book is less than its weight, resulting in a lower reading on the scale.
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Which equation does this picture BEST represent?
A. 49 ÷ 7 = 7
B. 49 - 7 = 42
C. 7 - 7 = 0
D. 49 - 49 = 0
need help asap. circle geometry
Answer:
7 m
Step-by-step explanation:
d=2r
r=√(3.6/2)²+3²= √12.24 ≈ 3.5 m
d= 2*3.5 m= 7 m
Refer to attached
1/5 times 3/10
Thank you
Answer:
\( \frac{3}{50} \)
Step-by-step explanation:
\( \frac{1}{5} \times \frac{3}{10} \)
➡️ \( \frac{1 \times 3}{5 \times 10} \)
➡️ \( = \frac{3}{50} \) ✅
A population of bacteria is initially 500. After two hours the population is 250. If this rate of decay continues, find the exponential function that represents the size of the bacteria population after t hours. Write your answer in the form f(t)=a(b)t. If you need to round any decimals, round to four decimal places.
Answer:
500(1/2)^t/2
Step-by-step explanation:
Use the exponential function f(x)=a(b)ct. The initial population, 500, gives the the point (0,500) and leads to coefficient of the exponential function, a=500.
f(t)=2000(b)ct
After 2 hours, the population has decreased by half. This means the common ratio is one-half, b=12. Because it takes 2 hours for the population to be cut in half, we know ct=1 when t=2, therefore c=1t and c=12. This gives the equation:
f(t)f(t)=500(12)12(t)=500(12)t2
Alternate Solution
The situation shows there are two points (0,500) and (2,250). Plugging the first point in, you solve for a=500 as follows:
500a=a(b)0=500
The decay coefficient, b, can be determined by substituting in the value for a and the point (2,250) and the solving as follows:
25025050012(12)12b=500(b)2=b2=b2=b≈0.7071
This gives the final exponential equation:
f(t)=500(0.7071)t
When the exponential function that represents the size of the bacteria population after t hours is = \(500(1/2)\wedge t/2\)
Calculation of Exponential functionWhen we Use the exponential function f(x)=a(b)ct. Then, The initial population, 500, Also, gives the point (0,500) and then leads to the coefficient of the exponential function, a is =500.
Then, f(t)=2000(b)ct
After that, for 2 hours, the population decreased by half. Then, This means the common ratio is one-half, b=12. Because it takes 2 hours for the population to be cut in half, Now, we know ct=1 when t=2, therefore c=1t, and c=12. This gives the equation:
Then, f(t)f(t)=500(12)12(t)=500(12)t2
Now, an Alternate Resolution
When The situation shows there are two points (0,500) and (2,250). Plugging the first point in, you solve for a is =500 as follows:
After that, 500a=a(b)0=500
Then, The decay coefficient, b, can be determined by substituting the value for a and the point (2,250) and also the solving as follows:
Now, 25025050012(12)12b =500(b)2=b2=b2=b≈0.7071
So, This gives the final exponential equation:
Therefore, f(t) is =500(0.7071)t
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Please help urgent thank you
If he wants an average of 84, he needs to get at least 93 points.
What score does he need to get in the next test?Remember that the average value between 3 values A, B, and C is:
(A + B + C)/3
Here we know that the first two scores are 76 and 83 points, let's say that the third score is x, if we want to have an average of 84 or more, then we need to solve:
(76 + 83 + x)/3 = 84
159 + x = 252
x = 252 - 159
x = 93
So he needs to get at least 93 points in the next exam.
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Samantha lost 15 pounds in 6 weeks.
what is the roc of x=2 to x=4
A. -2
B. 2
C. -1/35
D. -35
Answer:
A.) -2
Step-by-step explanation:
I took a test and got it right
The graph of the function f(x)=1/(x−3) −12 is a transformation of the graph of the function g(x)=1/x.Find the horizontal and vertical shifts.
f(x) has a vertical asymptote at x = 3, while g(x) has a vertical asymptote at x = 0.
f(x) has a horizontar asymptote at y = -12, while g(x) has a horizontal asymptote at y = 0.
Therefore, the graph of f(x) is the graph of g(x) shifted 12 units down and 3 units right
Please help, I’ll mark your answer as brainliest.
Loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.
What is a sound wave?When energy moves through a medium (such as air, water, or any other liquid or solid matter), it creates a pattern of disturbance known as a sound wave that propagates away from the sound source.
When an object vibrates, sound waves are produced that are similar to pressure waves, like when a phone rings.
Pitch, intensity, and timbre are three key components of the field of sound psychology or psychoacoustics. People can distinguish the harmonics of a complex periodic sound wave under certain conditions thanks to the way that humans perceive sound and music.
Thus, loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.
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What is the slope of the line that goes through the points (-2, 4) and (5, -1)
Answer:
-5/7
Step-by-step explanation:
The slope of a line is given by
m = (y2-y1)/(x2-x1)
= ( -1 -4)/(5 - -2)
= (-1-4)/(5+2)
-5/7
Slope formula: y2-y1/x2-x1
= -1-4/5-(-2)
= -5/7
Best of Luck!
Write in slope-intercept form an equation of a line that
passes through the given points.
(0,1), (2, 4)
Answer:
y=3/2x+1
Step-by-step explanation:
it passes through (0,1) which means the y-intercept, b, is 1, and add 2 and 3 to the first pair gives you a change of 3/2 meaning the change in y is 3 and the change in x is 2 so the change in y over the change in x is 3/2
Which of the following is the solution to 9/x+ 4 54 ?
O A. x5-10 and x32
O B. x2-10 or x22
O c. xs-10 or x2 2
O D. x22
Im guessing its c. I dont really know if i'm wrong im sorry
please help need this done by tomorrow thank you [PHOTO]
Answer:
Step-by-step explanation:
The two angles must add to 180
(4x-2)+(3x+14)=180
7x+12=180
7x=168
x=24
3 1/3 divided by 1 1/5
Answer:
25/9
Step-by-step explanation:
3 1/3 ÷ 1 1/5
3 1/3 = 10/3
1 1/5 = 6/5
10/3 ÷ 6/5 = 10/3 x 5/6 = 50/18 = 25/9
So, the answer is 25/9
Which number is the greatest? Which is the least
NEVER MIND DON'T DO THIS
BUT I DO NEED POINTS SO COMMENT
Answer:
Huh?
Step-by-step explanation:
As discussed in class, occasionally the standard misclassification error is not a good metric for a given task. In this question, we consider binary classification (Y = {0, 1}) where the two possible types of errors are not symmetric. Specifically, we associate a cost of p > 0 for outputting 0 when the class is 1, and a cost of q > 0 for outputting 1 when the class is 0. Furthermore, we allow the classifier to output -1, indicating an overall lack of confidence as to the label of the provided example, and incur a cost r > 0. Formally, given a classifier f : X → {−1, 0, 1} and an example x ∈ X with label y ∈ {0, 1} we define the loss of f with respect to example (x, y) by:
ℓ(f(x),y) : * if f(x)=y
* if f(x)=0 and y=1
* if f(x)=1 and y=0
* if f(x)=−1
Describe a real world scenario where this model of classification may be more appropriate than the standard model seen in class.
Answer:
Step-by-step explanation:
This model of classification may be more appropriate in scenarios where the cost of misclassification errors is not symmetric and there is a cost associated with lack of confidence in the prediction. One real world scenario where this may apply is in medical diagnosis, where the cost of a false negative (predicting that a patient does not have a disease when they actually do) could be high in terms of the potential harm to the patient's health, and the cost of a false positive (predicting that a patient has a disease when they actually do not) could be high in terms of unnecessary medical tests, treatments and anxiety for the patient.
In this scenario, we can set the cost of a false negative (predicting 0 when the true class is 1) to be higher than the cost of a false positive (predicting 1 when the true class is 0). Additionally, the cost of lack of confidence (predicting -1) could be set to reflect the cost of further medical tests or delay in treatment.
By using this model, the classifier can weigh the costs of misclassification errors and lack of confidence and make a prediction that minimizes the expected cost, rather than just minimizing the misclassification error.
Let's consider the example of diagnosing a rare and potentially life-threatening disease, such as cancer. In this scenario, we want to minimize the risk of false negatives (i.e., predicting that a patient does not have cancer when they actually do) as the cost of missing a cancer diagnosis can be very high in terms of the potential harm to the patient's health. However, we also want to avoid unnecessary medical tests, treatments and anxiety for the patient caused by false positives (i.e., predicting that a patient has cancer when they actually do not).
We can set the cost of a false negative to be higher than the cost of a false positive to reflect the relative severity of these two types of errors. For example, we may assign a cost of $10,000 for a false negative and a cost of $1,000 for a false positive.
We can also allow the classifier to output a third label, "-1", to indicate uncertainty or lack of confidence in the prediction. In this case, we may set the cost of a lack of confidence to reflect the cost of additional medical tests or delay in treatment caused by the uncertainty. For example, we may assign a cost of $2,000 for a lack of confidence label.
Using these costs, we can define the loss function for the classifier as follows:
If f(x) = y, the loss is 0 (i.e., no cost is incurred for correct predictions).
If f(x) = 0 and y = 1, the loss is p (i.e., the cost of a false negative).
If f(x) = 1 and y = 0, the loss is q (i.e., the cost of a false positive).
If f(x) = -1, the loss is r (i.e., the cost of lack of confidence).
The goal of the classifier is to minimize the expected cost, which is the sum of the loss over all examples in the dataset, weighted by their respective probabilities.
By using this model, the classifier can make predictions that balance the trade-off between false negatives and false positives, while also taking into account the cost of uncertainty. This can result in a more accurate and cost-effective diagnostic system than using a standard model that only minimizes the misclassification error.