Answer:
6
Step-by-step explanation:
Negative ×negative always gives gives a positive
A class measured the radius and circumference of various circular objects. Does there appear to be a proportional relationship between the radius and circumference of a circle explain or show ur reasoning.
The required given relationship between the radius and circumference of the circle is not a proportional relationship.
Given that,
A class measured the radius and circumference of various circular objects.
proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.
here
For the proportional relationship,
the ratio of y / x should be equal but,
18 / 3 ≠ 25/4
Which implies that the relationship is not proportional.
Thus, the required given relationship of the radius and circumference of the circle is not a proportional relationship.
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Baa Baa, the black sheep, had 7 pounds of wool. If he separated the wool equally into 3
bags, how much wool would be in each bag?
Answer:
2.5
Step-by-step explanation:
Step 1:
Start by setting it up with the divisor 3 on the left side and the dividend 7 on the right side like this:
3 ⟌ 7
Step 2:
The divisor (3) goes into the first digit of the dividend (7), 2 time(s). Therefore, put 2 on top:
2
3 ⟌ 7
Step 3:
Multiply the divisor by the result in the previous step (3 x 2 = 6) and write that answer below the dividend.
2
3 ⟌ 7
6
Step 4:
Subtract the result in the previous step from the first digit of the dividend (7 - 6 = 1) and write the answer below.
2
3 ⟌ 7
- 6
1
You are done.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 7 divided by 3 calculated using Long Division is:
A scientist runs an experiment involving a culture of bacteria. She notices that the mass of the bacteria in the culture increases exponentially with the mass increasing by 249% per week. What is the 1-week growth factor for the mass of the bacteria
9514 1404 393
Answer:
3.49
Step-by-step explanation:
The growth factor is one more than the growth rate:
growth factor = 1 + growth rate
= 1 + 249% = 1 +2.49
growth factor = 3.49
Use the following table to find the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Students on the Student Government Board
On-Campus Housing Off-Campus Housing
Freshman 2 2
Sophomore 2 4
Junior 0 3
Senior 4 2
Graduate Student 2 0
The probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 8/25 or 0.32 (rounded to the nearest millionth).
1. Calculate the total number of students on the Student Government Board by summing up the numbers in the table:
Total Students = 2 + 2 + 2 + 4 + 0 + 3 + 4 + 2 = 19
2. Calculate the total number of graduate students on the Student Government Board:
Total Graduate Students = 2 + 0 = 2
3. Calculate the total number of students living in on-campus housing:
Total On-Campus Housing = 2 + 2 + 0 + 4 + 2 = 10
4. Calculate the probability of selecting a graduate student from the Student Government Board by dividing the total number of graduate students by the total number of students:
Probability of Graduate Student = Total Graduate Students / Total Students = 2 / 19
5. Calculate the probability of selecting a student living in on-campus housing by dividing the total number of students in on-campus housing by the total number of students:
Probability of On-Campus Housing = Total On-Campus Housing / Total Students = 10 / 19
6. Calculate the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing by summing up the probabilities from steps 4 and 5:
Probability = Probability of Graduate Student + Probability of On-Campus Housing = 2 / 19 + 10 / 19
7. Simplify the fraction if necessary. In this case, the fraction cannot be simplified further, so the final probability is 2 / 19 + 10 / 19 = 12 / 19.
8. Convert the fraction to a decimal by dividing the numerator by the denominator: 12 / 19 ≈ 0.631578947, which rounds to 0.632 (rounded to the nearest thousandth).
9. Finally, express the probability as a fraction in lowest terms: 12 / 19 is already in lowest terms.
Therefore, the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 12/19 or approximately 0.632 (rounded to the nearest thousandth).
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The chemical element mercury has a melting point of -39. The melting point of bromine is -7. Which statement is an accurate comparison of these melting points?
From the given statements, the first statement which states, the melting point of mercury is 32 degrees cooler than the melting point of bromine is correct.
Given that, the melting point of mercury = -39
the melting point of bromine = -7
the difference between both melting points = -39 - (-7) = -32
In math, as we go to the negative values, the value of the number decreases. [-7 > -39]
From the above analysis, we can conclude that the melting point of mercury is 32 degrees cooler than the melting point of bromine. So, the option A which is the first statement is correct from the given image.
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What is the value of y in the equation 5x + 2y = 20, when x = 0.3?
Answer:
y=9.25
Step-by-step explanation:
Answer:
Step-by-step explanation:
5(0.3)+2y=20
1.5+2y=20
2y=20-1.5
2y=18.5
y=9.25
Matt ran 8 laps in 1,256 seconds. If he ran each lap in the same amount of time , how many seconds did it take him to run 1 lap
Matt takes 157 seconds to run 1 lap.
What is ratio?Ratio basically compares quantities, that means it shows value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Time taken to run 8 laps = 1,256 seconds
To find time taken to run 1 lap, use the ratio property,
8 laps = 1256 seconds
1 lap = 1256/8 seconds
1 lap = 157 seconds
Matt takes 157 seconds to run 1 lap.
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Match each drawing on the left with its geometric notation on the right. Some of the answer choices on the right may not be used.
Answer:
Please attach a photo to this so I can better answer your question
x-intercept of 3 and y-intercept of 8
How do you write a lunar equation given this information and how do you write the equation in slope form
Answer:
y = -8/3x + 8
Step-by-step explanation:
Step 1: Identify which values we have and need to find in the slope-intercept form:
The general equation of the slope-intercept form of a line is given by:
y = mx + b, where
(x, y) is any point,m is the slope,and b is the y-intercept.Since we're told that the y-intercept is 8, this is our b value in the slope-intercept form.
Step 2: Find m, the slope of the line:
Since the x-intercept is 3, the entire coordinates of the x-intercept are (3, 0)Thus, we can find m, the slope of the line by plugging in (3, 0) for (x, y) and 8 for b:
0 = m(3) + 8
0 = 3m + 8
-8 = 3m
-8/3 = m
Thus, the slope is -8/3.
Therefore, the the equation of the line in slope-intercept form whose x-intercept is 3 and whose y-intercept is 8 is y = -8/3x + 8.
Optional Step 3: Check the validity of the answer:
We know that the entire coordinates of the x-intercept are (3, 0) and the entire coordinates of the y-intercept are (0, 8).Thus, we can check that we've found the correct equation in slope-intercept form by plugging in (3, 0) and (0, 8) for (x, y), -8/3 for m, and 8 for b and seeing if we get the same answer on both sides of the equation when simplifying:
Plugging in (3, 0) for (x, y) along with -8/3 for m and 8 for b:
0 = -8/3(3) + 8
0 = -24/3 + 8
0 = -8 = 8
0 = 0
Plugging in (0, 8) for (x, y) along with -8/3 for m and 8 for b;
8 = -8/3(0) + 8
8 = 0 + 8
8 = 8
Thus, the equation we've found is correct as it contains the points (3, 0) and (0, 8), which are the x and y intercepts.
A triangle ABC has coordinates for A (-4, 1).
Triangle A'B'C' has coordinates for A' (0-3)
What is the translation?
How many units right or left and how many units up or down?
Choose the best answer from the options below:
A
B
C
D
4 right, 4 down
4 left, 4 up
You have 1 hour to answer this question or you will be logged out.
4 left, 4 down
4 right, 4 up
The solution is Option A.
The coordinate of the triangle after the translation is given by A' ( 0 , -3 ) with 4 units right and 4 units down
What is Translation?A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.
Given data ,
Let the coordinate of the triangle be represented as A
Now , the coordinate A = A ( -4 , 1 )
Now , the coordinate of the triangle after translation is A' ( 0 , -3 )
when there is a translation of the coordinate A by 4 units to the right , we get
A to 4 units right = A ( -4 + 4 , 1 )
The new coordinate of A = A ( 0 , 1 )
Now , A to 4 units down , we get
The coordinate of A' = A' ( 0 , 1 - 4 )
The coordinate of A' = A' ( 0 , -3 )
Hence , the translated coordinate is A' ( 0 , -3 )
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350 items have donated to the community food pantry and 35 of the items are jars of peanut butter. What percent of the donated items are jars of peanut butter?
Answer:
The answer is 25% donated peanut butter
Step-by-step explanation: Easy
100 Points! Multiple choice Geometry question. Photo attached. Thank you!
Answer:
2. C. 50.3 ft²
3. A. 75.4 ft²
Step-by-step explanation:
The lateral surface area of a cylinder is the area of the curved surface of the cylinder. It is calculated by multiplying the circumference of the base by the height of the cylinder. The formula for the lateral surface area of a cylinder is:
Lateral Surface Area = 2πrh
Where:
r is the radius of the baseh is the height of the cylinderThe total surface area of a cylinder is the area of the lateral surface plus the area of the two circular bases. The formula for the total surface area of a cylinder is:
Total Surface Area = 2πrh + 2πr^2
Where:
r is the radius of the baseh is the height of the cylinder2.
r=2 ft
h=4 ft
Lateral Surface Area = 2πrh=2*22/7*2*4=50.3 ft²
3.
Total Surface Area = 2πrh + 2πr^2=2*22/7*2*4+2*22/7*2
=50.3+25.1=75.4 ft²
Given f(x) = x² - 5x - 6 and g(x) =
x² - 6x, what are the domain restrictions
for (-)(x)?
A) x # +6
B) x = 0
C) x = 0,6
D) x = -2,6
The domain restrictions for (f/g)(x) are (c) x = 0, 6
How to determine the domain restrictions for (f/g)(x)?From the question, we have the following parameters that can be used in our computation:
f(x) = x² - 5x - 6
g(x) = x² - 6x
The composite function (f/g)(x) is calculated as
(f/g)(x) = f(x)/g(x)
substitute the known values in the above equation, so, we have the following representation
(f/g)(x) = (x² - 5x - 6 )/(x² - 6x)
For the domain restriction, we have
x² - 6x = 0
When solved, we have
x = 6 or x = 0
Hence, the domain restrictions for (f/g)(x) are (c) x = 0, 6
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Question
Given f(x) = x² - 5x - 6 and g(x) = x² - 6x, what are the domain restrictions
for (f/g)(x)?
A) x = +6
B) x = 0
C) x = 0,6
D) x = -2,6
Ezra applied the distributive property to the expression 8(y+2) . He then used the commutative property.
correctly complete the statement
After applying the distributive property, Ezra's expression was ________
After he used the commutative property, his expression was __________
answers: 2+8y, 8y+2, 8y+16, 16+8y, 8y + 1 x 2, 8y + 1 x 16
Answer:
After applying the distributive property, Ezra's expression was 8y + 16
After he used the commutative property, his expression was 16 + 8y
Step-by-step explanation:
Distributive property rule: a(x+y) = ax + ay
Not much to explain here
Commutative property rule: a + b = b + a or xy = yx
We use addition rule in this case, simply place 16 in front of 8y
Francesca plans to compete in a biathlon that involves running and cycling. During one training session, she covered a total distance of 46 miles in four hours. If she ran at a rate of 5 mph and cycled at a rate of 15 mph, how long did she spend cycling?
Answer:
.
Step-by-step explanation:
Use the distance formula
d = vt
where:
d = distance (miles)
v = speed (mph)
t = time (hours)
Let x = run time
Let y = bike time
Total time: x + y = 4
Using these variables we can write an equation representing the formula.
dTotal = drun + dbike
49 = 9x + 22y
Next, we get the equation in terms of only x or y. We'll get it in terms of x.
49 = 9x +22(4 - x)
49 = 9x + 88 - 22x
-39 = -13x
3 = x
Plug in this value of x into the variables to find the distance for each part.
run distance = 9x
bike distance = 22(4 - x)
4x²y+2xy² simplefid in algebra
Answer:
Difficulties regarding the emotions of your body.
Step-by-step explanation:
Difficulties regarding the emotions of your body.
The measures of the angles of △ABC are given by the expressions in the table.
The angles of the triangle are 125 degrees, 20 degrees, and 35 degrees.
Define triangles.A triangle is a closed geometric shape with three sides, three angles, and three line segments. Three non-collinear points are joined by line segments to create the simplest polygon, which has three non-collinear points.
Triangles can be categorized according to the size of their sides and angles. Triangles can be categorized as equilateral (all sides are equal in length), isosceles (both sides are equal in length), or scalene based on their sides (all sides are different in length). Triangles can be categorized as acute (all angles are less than 90 degrees), obtuse (one angle is greater than 90 degrees), or right (one angle is greater than 90 degrees) (one angle is exactly 90 degrees).
In any triangle, the sum of the three interior angles is always 180 degrees. Therefore, we can write:
a + b + c = 180
Substituting the given values, we get:
(6x-1) + 20 + (x+14) = 180
Simplifying and solving for x, we get:
7x + 33 = 180
7x = 147
x = 21
Now that we have the value of x, we can substitute it back into the expressions for the angles to find their values:
angle a = (6x-1) = (6*21-1) = 125 degrees
angle b = 20 degrees
angle c = (x+14) = (21+14) = 35 degrees
Therefore, the angles of the triangle are 125 degrees, 20 degrees, and 35 degrees.
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Each astronaut trainee conducts training in every non-specialized section of the
mission. If it takes an average of 5.2 days of personalized and focused instruction
per astronaut to become proficient at the tasks in a section, and there 108
sections to the mission and 50 astronauts in training, how much time will need to
be allotted to astronaut training of section tasks?
Answer:
about 100
Step-by-step explanation:
a fair die is rolled 100 times.the results are shown below
number:. 1. 2. 3. 4. 5. 6
no of times:. 12. 16. 25. 18. 15. 14
what is the probability of getting
1?
2?
3?
4?
5?
6?
1.) Probability of getting 1: 0.12 or 12%.
2.) Probability of getting 2: 0.16 or 16%.
3.) Probability of getting 3: 0.25 or 25%.
4.) Probability of getting 4: 0.18 or 18%.
5.) Probability of getting 5: 0.15 or 15%.
6.) Probability of getting 6: 0.14 or 14%.
To calculate the probability of getting a specific number on a fair die, we divide the number of times that number appears by the total number of rolls. In this case, the die was rolled 100 times, and the results are given as follows:
Number: 1 2 3 4 5 6
Times: 12 16 25 18 15 14
To find the probability of getting each number, we divide the corresponding number of times by the total number of rolls (100):
Probability of getting 1 = 12 / 100 = 0.12.
Probability of getting 2 = 16 / 100 = 0.16.
Probability of getting 3 = 25 / 100 = 0.25.
Probability of getting 4 = 18 / 100 = 0.18.
Probability of getting 5 = 15 / 100 = 0.15.
Probability of getting 6 = 14 / 100 = 0.14.
Therefore, the probabilities of getting each number on a fair die, based on the given results of 100 rolls, are approximately:
1: 0.12 or 12%,
2: 0.16 or 16%,
3: 0.25 or 25%,
4: 0.18 or 18%,
5: 0.15 or 15%,
6: 0.14 or 14%.
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Write an equation in general form (Ax+By+C =0) for the line that passes through A(2, 4) and B(11, 8).
Answer:
4x - 9y + 28 = 0------------------------
Find the slope of AB:
m(AB) = (8 - 4)/(11 - 2) = 4/9Use point-slope form and point A(2, 4) to determine the line:
y - 4 = (4/9)(x - 2)Multiply both sides by 9 to clear fraction:
9(y - 4) = 4(x - 2)Open parenthesis and convert the equation into ax + by + c = 0:
9y - 36 = 4x - 8 ⇒4x - 9y - 8 + 36 = 0 ⇒4x - 9y + 28 = 013. Find the slope of the line that passes through (1, 8) and (-3, 12).
Answer:
-1
Step-by-step explanation:
Slope formula:
\(\frac{y2-y1}{x2-x1}\)
x1 = 1
y1 = 8
x2 = -3
y2 = 12
\(\frac{12-8}{-3-1}\)
\(\frac{4}{-4}\) = -1
DUE IN 30 MINS (6th grade) PLEASE PLEASE HELP ME ASAAP
The ages of people visiting a senior center one afternoon are recorded in the line plot.
A line plot titled Ages At Senior Center. The horizontal line is numbered in units of 5 from 40 to 95. There is one dot above 45 and 80. There are two dots above 70 and 85. There are three dots above 75.
Does the data contain an outlier? If so, explain its meaning in this situation.
No, there is no outlier. This means that the people were all the same age.
No, there is no outlier. This means that the people are all around the mean age.
Yes, there is an outlier of 45. This means that the average person at the center is 45 years old.
Yes, there is an outlier of 45. This means that one person's age was 45, which is 25 years younger than the next closest age
{Please follow the rules Dos and Don't}
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Answer: Yes, there is an outlier of 45, This means that one person's age was 45, which is 25 years younger than the next closest age.
Hope this helps! :)
Step-by-step explanation:
Answer:
D
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Step-by-step explanation:
Anthony the anteater requires 1800 calories each day. He gets 1 calorie from every
50 ants that he eats. If he sticks his tongue out 150 times per minute and averages 2
ants per lick, how many hours will it take for him to get 1800 calories?
Answer: 5 hours
Step-by-step explanation:
1800cal/day
a= ants
50a= 1 cal
150 licks per minute, 2 ants per lick--- 2*150 = 300 ants per minute
6*50a= 1 cal*6
-- 300a = 6cal
The anteater can get a avg of 6 calories per minute.
6*60 = 360
We can make a equation:
x =calories
360x = 1800
360/360x = 1800/360
x = 5
It would take the anteater a total of 5 hours to withdraw 1800 calories from ants. This is 300*60*5 ants!
To check:
360(5)=1800
1800=1800
Need the correct answers for this. Can you help me?
The length of PQ is 3√5 and its slope is -2
The length of SR is 3√5 and its slope is -2
The length of SP is 5√2 and its slope is -7
The length of RQ is 5√2 and its slope is -1
So PQ ≅ SR and SP ≅ RQ. By the Perpendicular Bisector theorem, adjacent sides are perpendicular. By the selection of side, ∠PSR, ∠SRQ, ∠RQP and ∠QPS are right angles. So, the quadrilateral is a rectangle.
Understanding QuadrilateralTo find the lengths and slopes of the sides of the quadrilateral PQRS, we apply the distance formula:
D = \(\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}\)
and the slope formula:
m = \(\frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)
1. Length PQ:
Using the distance formula, the length PQ can be calculated as follows:
PQ = \(\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}\)
= √((3 - 0)² + (-4 - 2)²)
= √(3² + (-6)²)
= √(9 + 36)
= √45
= 3√5
2. Length SR:
Using the distance formula, the length SR can be calculated as follows:
SR = \(\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}\)
= √((1 - (-2))² + (-5 - 1)²)
= √((1 + 2)² + (-6)²)
= √(3² + 36)
= √(9 + 36)
= √45
= 3√5
3. Length SP:
Using the distance formula, the length SP can be calculated as follows:
SP = \(\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}\)
= √((1 - 0)² + (-5 - 2)²)
= √(1² + (-7)²)
= √(1 + 49)
= √50
= 5√2
4. Length RQ:
Using the distance formula, the length RQ can be calculated as follows:
RQ = \(\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}\)
= √((-2 - 3)² + (1 - (-4))²)
= √((-2 - 3)² + (1 + 4)²)
= √((-5)² + 5²)
= √(25 + 25)
= √50
= 5√2
Now, let's calculate the slopes of the sides:
1. Slope PQ:
The slope of PQ can be calculated using the slope formula:
m = \(\frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)
= (-4 - 2) / (3 - 0)
= -6 / 3
= -2
2. Slope SR:
The slope of SR can be calculated using the slope formula:
m = \(\frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)
= (-5 - 1) / (1 - (-2))
= -6 / 3
= -2
3. Slope SP:
The slope of SP can be calculated using the slope formula:
m =\(\frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)
= (-5 - 2) / (1 - 0)
= -7 / 1
= -7
4. Slope RQ:
The slope of RQ can be calculated using the slope formula:
m = \(\frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)
= (1 - (-4)) / (-2 - 3)
= 5 / (-5)
= -1
Therefore, the lengths and slopes of the sides of the quadrilateral PQRS are:
Length PQ: 3√5
Length SR: 3√5
Length SP: 5√2
Length RQ: 5√2
Slope PQ: -2
Slope SR: -2
Slope SP: -7
Slope RQ: -1
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Select a personal or professional example of a measurement you use routinely. Convert the measurement either from U.S customary units to metric units, or from metric units to U.S. customary units. You may choose more than one measurement and may choose among weight, length, temperature, etc. Show each step of your conversion and be sure to include all units from the original and converted measurements (for example, yards to meters, degrees Celsius to degrees Fahrenheit).
A personal example of a measurement I use routinely is converting weight from U.S. customary units to metric units. Let's convert pounds to kilograms.
To convert pounds to kilograms, we use the conversion factor of 1 pound = 0.453592 kilograms.
For example, if I have a weight of 150 pounds, I can calculate the equivalent weight in kilograms as follows:
150 pounds * 0.453592 kilograms/pound = 68.0388 kilograms
Therefore, 150 pounds is approximately equal to 68.0388 kilograms.
In this conversion, we multiply the weight in pounds by the conversion factor to obtain the weight in kilograms. By using the appropriate conversion factor, we can accurately convert weights from U.S. customary units to metric units.
It's important to note that conversion factors may vary slightly depending on the rounding used and the exact value of the conversion factor.
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Three pizza are shared equally among 12 people.what fraction of a pizza will each person get?
A
4/1
B
3/1
Answer:
d) 1/12
Step-by-step explanation:
I need help with this question
Step-by-step explanation:
HELP! Will give branliest!
Answer:
angle 1 is 99
angle 2 is 81
Step-by-step explanation:
3x+x+48=180
4x+48=180
4x=132
x=33
If f = 6 and g = 8, what does h equal?
Answer:
any number
Step-by-step explanation:
A
rope
cut off?
is 3m long. If 25% is cut off, how many com was
25% of 3
Answer:
0.75meters
Step-by-step explanation:
25% of 3 is 0.75
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