Answer:
C
Step-by-step explanation:
\(\sqrt{3}\cdot\sqrt{21}= \\\\\sqrt{3\cdot 21}= \\\\\sqrt{63}= \\\\3\sqrt{7}\)
Therefore, the correct answer is choice C. Hope this helps!
Answer:
3√7
Step-by-step explanation:
√3×√21=√63
√63=√7×√9=√7 × 3
=3√7
What are two equations that have the solution of (3,6).
Answer:
2+1 and 3+3
Step-by-step explanation:
2+1 = 3 and 3+3 = 6 = (3,6)
Plsss help one merrrf ef
Answer:
SURFACE AREA
Step-by-step explanATION
COMBINE ALL THE NUMBERS AND DIVIDE BY THE AMOUNT OF OBJECTS
Answer:
36 cm^2
Step-by-step explanation:
Length=4+3+5=12
Breadth=3
so, surface area = 12×3=26
HELP ASAP!!!! Need to get grade up
Answer:
Option B and C
Step-by-step explanation:
\(5^{-6}\) x \(5^{4}\) / \(5^{-4}\)
\(5^{-2}\) / \(5^{-4}\) = \(5^{2}\)
\(5^{2}\) = 25
Option B : 25
and C : \(5^{2}\)
I hope im right!!
Mackey invested some money in an account paying 6% interest for one year. She invested $1000 more than this amount in an account paying 8.5%. How much did she invest in total if the total interest earned in the year was $737.50?
Step-by-step explanation:
Let's assume the amount Mackey initially invested in the 6% account is x dollars.
According to the given information, Mackey invested $1000 more than x in the 8.5% account, which means she invested (x + $1000) dollars in that account.
The total interest earned from the 6% account would be 0.06x dollars, and the total interest earned from the 8.5% account would be 0.085(x + $1000) dollars.
The total interest earned in the year is given as $737.50, so we can set up the equation:
0.06x + 0.085(x + $1000) = $737.50
Simplifying the equation:
0.06x + 0.085x + 0.085($1000) = $737.50
Combining like terms:
0.145x + $85 = $737.50
Subtracting $85 from both sides:
0.145x = $737.50 - $85
0.145x = $652.50
Dividing both sides by 0.145:
x = $652.50 / 0.145
x ≈ $4500
Therefore, Mackey initially invested approximately $4500 in the 6% account, and she invested $1000 more, which means she invested a total of $5500.
$4500
$4500
$4500
$4500
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Bay Side School Seaside School
8, 6, 5 0 5, 8
8, 6, 5, 4, 2, 0 1 0, 1, 2, 5, 6, 8
5, 3, 2, 0, 0 2 5, 5, 7, 7, 8
3 0, 6
2 4
Key: 2 | 1 | 0 means 12 for Bay Side and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
PLEASE HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Part A: To calculate the measures of center, we can find the median and the mean for each school.
For Bay Side School, the median class size is the average of the 8th and 9th values when the data is sorted in ascending order. The 8th and 9th values are both 25, so the median class size is 25.
To find the mean class size for Bay Side School, we can add up all the class sizes and divide by the total number of classes. The sum of the class sizes is 12 + 12 + 12 + 14 + 15 + 15 + 16 + 16 + 18 + 18 + 20 + 20 + 23 + 25 + 25 = 243. There are 15 classes, so the mean class size is 243/15 ≈ 16.2.
For Seaside School, the median class size is the average of the 8th and 9th values when the data is sorted in ascending order. The 8th and 9th values are both 15, so the median class size is 15.
To find the mean class size for Seaside School, we can add up all the class sizes and divide by the total number of classes. The sum of the class sizes is 10 + 10 + 10 + 11 + 12 + 15 + 15 + 16 + 17 + 17Part A (continued):
18 + 18 + 20 + 20 + 25 = 222. There are 14 classes, so the mean class size is 222/14 ≈ 15.9.
Therefore, the measures of center for Bay Side School are: median = 25, mean ≈ 16.2.
The measures of center for Seaside School are: median = 15, mean ≈ 15.9.
Part B: To calculate the measures of variability, we can find the range and the interquartile range (IQR) for each school.
For Bay Side School, the range is the difference between the largest and smallest class sizes. The largest class size is 25, and the smallest class size is 12, so the range is 25 - 12 = 13.
To find the IQR for Bay Side School, we need to find the first quartile (Q1) and the third quartile (Q3) of the data. From the stem-and-leaf plot, we can see that Q1 is 15 and Q3 is 20. Therefore, the IQR is 20 - 15 = 5.
For Seaside School, the range is the difference between the largest and smallest class sizes. The largest class size is 25, and the smallest class size is 10, so the range is 25 - 10 = 15.
To find the IQRPart B (continued): for Seaside School, we need to find the first quartile (Q1) and the third quartile (Q3) of the data. From the stem-and-leaf plot, we can see that Q1 is 12 and Q3 is 18. Therefore, the IQR is 18 - 12 = 6.
Therefore, the measures of variability for Bay Side School are: range = 13, IQR = 5.
The measures of variability for Seaside School are: range = 15, IQR = 6.
Part C: If you are interested in a smaller class size, Seaside School is a better choice because its measures of center are lower than those of Bay Side School, indicating that its class sizes tend to be smaller on average. Additionally, Seaside School has a smaller range and IQR, indicating less variability in class size. Therefore, there is less chance of encountering very large classes at Seaside School compared to Bay Side School.
Can you solve this for me? Thanks! :>
Answer:
<
Step-by-step explanation:
-3 is greater than -3.5
Larry drew a circle with a circumference of 40.82 centimeters. What is the area of the circle? Use 3.14 for π.
Answer:
1308.02cm^2
Step-by-step explanation:
Finding Radius = D/2
40.82/2 = 20.41 centimetres
Finding Area of a circle
E = πr^2
= 3.14 x 20.41^2
= 416.57 π
= π x 416.5681 = 1308.02cm^2
Answer:
178
Step-by-step explanation:
Convert to find the equivalent rate.
Answer:192
Step-by-step explanation:look up 96 fl oz to tablespoons and it will give you a calculator.
2(-2x-4) simplify distributive property
Answer:
-4x-8
Step-by-step explanation:
2*-2x+2*-4
-4x-8
Answer: -4x - 8
Step-by-step explanation:
1. 2 · -2x = -4x
2. 2 · -4 = -8
3. -4x - 8
i need some help ill give brainliest if its right
Answer:
20
Step-by-step explanation:
because -20 + -12 = 32 + -12 = 20
approximately 20
The exponential constant is an important mathematical constant and is given the symbol e. Its value is approximately 20. It has been found that this value occurs so frequently when mathematics is used to model physical and economic phenomena that it is convenient to write simply e, f and g.
An amusement park has two types of season passes. Plan 1 charges a one-time fee of $170.00 for admission plus $8.00 every trip for parking. Plan 2 charges a one-time fee of $93.00 for parking plus $15.00 every trip for admission. For what number of trips is the cost of these plans the same?
(Constant of Proportionality LC)
The equation m = 3b represents the time in minutes (m) it takes a chef to cook a certain number of bacon cheeseburgers (b).
Determine the constant of proportionality.
3
6
one third
1
For the given equation:
m = 3b
The constant of proportionality is 3, so the correct option is A.
How to determine the constant of proportionality?
After a small search on the internet, I've found that this question asks for the constant of proportionality.
Remember that a proportional relation is of the form:
y = k*x
Where k is the constant of proportionality, and x and y are the variables.
Here the relation is:
m = 3*b
Where m and b are the variables, then the remaining coefficient is the constant of proportionality, which is 3.
In this way, we can see that the correct option is A.
A Rube Goldberg machine consists of a series of devices that perform a simple task. Kate is drawing a scale model of her Rube Goldberg machine, which she plans to build and enter into a contest. A bicycle wheel on the scale model is 2 inches in diameter, while in the actual machine, it will be 28 inches in diameter. (PART B) what would be the actual length of a rope that is 7.25 inches long in the model) i need help with (part b) pls help
Answer: 101.5 inches
Explanation: By dividing 28 by 2 we can find out that 28 is 14 times 2. Using this, you can multiply 7.25 to get 101.5.
Number of classes
8
7
6
5
4
3
2
1
0
Classes taught by each math teacher
in the math department
Mr. Linn
Mrs. Ross
classes
Mr. Kelly
Teacher
Ms. Moss
What is the range of classes taught by these teachers?
Use the tape diagram to find the value of 1/2 / 1/3. Show your reasoning.
Answer:
5/6
Step-by-step explanation:
In fractions, you can convert 1/2 and 1/3's denominators into a common number.
First, multiply 2 by 3 and 3 by 2. The denominator will be 6
Then, multiply the top by the same number (the numerator)
1/2*3/3 = 3/6.
1/3*2/2=2/6
3/6+2/6=5/6
Answer: 1.5, 1 1/2
Step-by-step explanation:
1/2 / 1/3
reciprocal of 1/3 is 3/1
1/2 x 3/1 = 3/2 = 1 1/2
Find the original price given a total amount of $26.98 and tip rate of 14%.
(if you can, please show work! Thanks so much!)
The ratio of boys to girls in a school is 5:4 . Check all statements that must be true based on the statement above. If none of the statements is true, check "None of the above". There are exactly 5 boys and exactly 4 girls in the school. For every 4 girls in the school, there are 5 boys. For every 4 boys in the school, there are 5 girls. For every 5 boys in the school, there are 4 girls. None of the above
Answer:
3 rd answer is the wrong answer
here are some numbers 2 9 14 36 40 what number is a multiple of 12 which number is a prime number which number is a factor of 64
Answer: 36 is a multiple of 12
2 is a prime number.
2 is a factor of 64
Step-by-step explanation:
12 × 3 =36, so 12 is one of the factors.
2 is the only even prime number. All other even numbers are multiples of 2.
9 is not a prime number. 3 × 3 = 9
2 is a factor of 64. 2 × 32 = 64 None of the other numbers given can divide evenly into 64, so they are not factors of 64.
Answer:36 is a multiple of 12
Step-by-step explanation:
In two days, megan has read 62 pages of James and the Giant Peach. the book has 194 pages. if p represents the number of pahes Megan has left to read, which equation represents the situation?
A: 2p + 62 = 194
B: 194 - p = 62
C: 2p = 132
D: 132 - p = 194
A formula is given as b = 4(m + 1)Make m the subject of the formula.
Answer:
m= (b/4) -1
Step-by-step explanation:
b = 4(m + 1)
b/4 = m+1
(b/4) -1 = m
Answer:
m= (b/4) - 1
Step-by-step explanation:
You have to do the inverse of operations so times would be divide and add would be subtract.
Evaluate the expression.
-0.7 - -0.2 x (-0.4 - -0.9)
Answer:
Your answer would be -0.6
Hope this helps c;
Answer:
I THINK THAT THE ANSWER IS -.6
Step-by-step explanation:
Top: Three-fourths. A fraction bar divided into 4 parts. 3 are shaded. Bottom: One-third. A fraction bar divided into 3 parts. 1 is shaded. How many times can each of the pieces of the fraction bars be divided to model Three-fourths minus one-third? Each piece of each bar can be divided into 2 pieces. Each piece of each bar can be divided into 12 pieces. Each piece of the Three-fourths bar can be divided into 3 pieces, and each piece of the One-third bar can be divided into 4 pieces. Each piece of the bar can be divided into 4 pieces, and each piece of the bar can be divided into 3 pieces.
im slow
Answer:
Each piece of the Three-fourths bar can be divided into 3 pieces, and each piece of the One-third bar can be divided into 4 pieces.
Step-by-step explanation:
If each piece of the Three-fourths bar is divided into 3 pieces,then you will get total pieces of 12.
In the same way, when each piece of the One-third bar is divided into 4 pieces, total pieces is 12.
After this we can subtract
Answer:
C. Each piece of the Three-fourths bar can be divided into 3 pieces, and each piece of the One-third bar can be divided into 4 pieces
Step-by-step explanation:
Which of the graphs shows a bike rider riding at an increasing speed and then stopping off to visit a friend and then continues riding?
A
B
C
D
The graphs that shows a bike rider riding at an increasing speed and then stopping off to visit a friend and then continues riding is graph 3
The given diagram is a distance-time graph. According to graph 1, we can see that there are three nature of the movement.
The first stage of the movement is acceleration which shows an increased speed of the bike. During the second stage, the bike is not accelerating showing that the velocity is constant at this point. At this point, the bike rider stops off.The third stage shows that the bike rider then keeps accelerating showing that it continues to ride.
Hence the graphs that show a bike rider riding at an increasing speed and then stopping off to visit a friend and then continues riding is graph 3
Learn more on acceleration here: https://brainly.com/question/9069726
Pls, help! A standard number cube with the numbers 1 through 6 is rolled. Find the probability of rolling a number less than 3. Find the probability of not rolling a number less than 3.
1/3; 2/3
1/2; 1/2
5/6; 1/2
1/6; 5/6
Brainlist for positive attitude and correct answer :D
Answer: The correct answer is:
Probability of rolling a number less than 3: 2/6 or 1/3
Step-by-step explanation:
Explanation: Out of the six possible outcomes (numbers 1, 2, 3, 4, 5, 6), there are two outcomes that meet the condition of rolling a number less than 3, which are 1 and 2. Therefore, the probability of rolling a number less than 3 is 2 out of 6, which simplifies to 1/3.
Probability of not rolling a number less than 3: 4/6 or 2/3.
Explanation: To find the probability of not rolling a number less than 3, we consider the outcomes that are not favorable (i.e., rolling a 3, 4, 5, or 6). There are four such outcomes, so the probability of not rolling a number less than 3 is 4 out of 6, which simplifies to 2/3. :D
Three-fifths of the students in a room are girls. One-third of the girls have blond hair. One-half of the boys have brown hair. What fraction of the students are girls with blond hair?
Answer:
1/5
Step-by-step explanation:
The answer is 1/5 of the students are blond girls, since 1/3 of 3/5 is 1/5.
Divide 3/5 by 3, which is 1/5.
Hope this helps!
nth term of this sequence please 18, 16, 14, 12
Answer:
\(\boxed{\sf -2n+20}\)
Step-by-step explanation:
Let’s find the common difference.
The common difference can be found by subtracting a term in the sequence with the previous term.
\(\sf d=16-18\\d=-2\)
Apply formula for the \(\sf n^{th}\) term of an arithmetic sequence.
\(\sf a_n=a_1+dn-d\)
\(\sf a_1\) is the first term of the sequence.
\(\sf d\) is the common difference.
\(\sf a_n=18+-2n-(-2)\)
\(\sf a_n=18+-2n+2\)
\(\sf a_n=-2n+20\)
If one cubic foot contains about 7.5 gallons, how many gallons of water are in the pool?
Answer:
Step-by-step explanation:
U should to length x width x height to find your answer
help me this one plssssssssssss
Answer:
The integer that describes the translation from B to B' is (-2,1)
lawn service charges 30, plus 15 an hour. if x represents the number of hours, then the expression for the total charge is 15x+30. which table shows the total charge?
Answer:
Step-by-step explanation:
15x+30=105
What is -4/7 divided by 5?
Answer:
-4/35
Step-by-step explanation: