Answer:
9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
Find the pattern: 1, 1/4, 1/9, 1/16, 1/25
Find the curved surface area of a cylinder if it's base circumference is 36 cm and it's height is 4 cm
Answer:
CSA of a cylinder = 144cm²
Step-by-step explanation:
Given the following data;
Base circumference = 36cm
Height = 4cm
To find the curved surface area (CSA) of the cylinder;
CSA of a cylinder = 2πr * h
But 2πr = 36cm
Substituting the values into the equation, we have;
CSA of a cylinder = 36 * 4
CSA of a cylinder = 144cm²
PLEASE HELP 15 POINTS!!!
Sequence: 24 + 12 + 6 + 3 +...
Explanation:
This is infinite geometric series converges.
\(\sf S \infty \ =a_1 \ x \ \dfrac{1}{1-r}\)
Identify the following
a1 = 24r = 12 ÷ 24 = 1/2Solve:
\(\rightarrow \sf S \infty \ =24\ x \ \dfrac{1}{1-\frac{1}{2} }\)
\(\rightarrow \sf S \infty \ =48\)
This is series has a sum of 48.
You have $50 on a giftcard, and buy Pokemon card packages that cost $10.50 each. Let y represent the amount left on the giftcard after purchasing x card packages.
Answer: The equation would be Y= 50- 10.50(x)
Step-by-step explanation: If you were to solve, it would be 50-10.50(4). I got the 4 because that is how many packs you can spend without going over $50. So, 10.50 x 4 = 42. So, now we subtract 42 from 5, so therefore we are left with 8. So we could write the equation like
- Y= 50-10.50(x)
Or
- 50-10.50(x) = y
So, plugging in the numbers we got, it would look like this
Y= 8
X= 4
So, it would be written like this:
8= 50 - 10.50(4)
8= 50- 42
Y=8.
I hope this helped!
The equation in which y represents the amount left on the gift card after purchasing x card packages is given by y = 50 - 10.50x
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Given that,
Total amount that can be spent = $50.
Cost of one Pokemon card package = $10.50.
Also, y represents the amount left after purchasing x card packages.
Since, the price of one card package = $10.50
Price of x card packages = 10.50x
The equation for amount y left after purchasing x card packages
y = 50 - 10.50x
The required equation for amount left can be given as y = 50 - 10.50x.
To know more about Equation on:
https://brainly.com/question/187506
#SPJ2
the weather was fine
4 days last week, the
rest of the days were
rainy. how many
rainy days last week
Answer:
3
Step-by-step explanation:
theres seven days in a week 7-4
What is the midpoint of the segment shown below?
Answer:
option a (-1,-1/2)
Step-by-step explanation:
apply mid point formula
Someone, please help me! If you give it right, ill give you Brainiest.
If you don't know the answer, please don't comment.
Can you explain every step you have to do to solve √(24^2 + 12^2?)
Answer:
\( \sqrt{576 + 144} \)
\( \sqrt{720} \)
\( \sqrt{12^{2} } \times \sqrt{5} \)
\({12 \times \sqrt{5} } \)
2. The table represents equivalent ratios. What is the missing value of x in the table? (1 point)
xy
8 4
? 3
42
2 1
9
7
6
5
There is no proportional relationship between x and y.
No, all ratios yx are not equivalent.
We have,
"Two or more number or variable are said to be in proportion if the ratio between them are equivalent to each other."
According to the question,
Given x : 8 , 10, 12, 14
y : 5, 7, 9, 11
Ratio between different values of x and y are not equivalent
( 8 /5) ≠ (10 / 7)≠ (12 /9) ≠(14 /11)
We conclude there is no proportional relationship between x and y.
Hence, Option(1) is the correct answer.
Learn more about Proportion here
brainly.com/question/2548537
#SPJ1
complete question:
Is there a proportional relationship between x and y? Explain.
x 8 10 12 14
y 5 7 9 11
1. No; all ratios yx are not equivalent.
2.Yes; each x value and y value increases by 2.
3.Yes; the difference between each x value and y value is 3.
4.No; all ratios xy are greater than 1.
the school is planning a field trip to the Science Center the tickets are originally $28 but school groups receive and $8 discount on each ticket purchased. the expression t(28-8) represents the total cost for t tickets
Answer: 28-8 is the discounted price of each ticket, and t(28-8) is equal to/ (=) ----> 24(28-8)
Step-by-step explanation trust me :)
Simplify 32 ⋅ 35. (4 points)
Question 3 options:
1)
37
2)
310
3)
97
4)
910
Answer:
Jul 25, 2019 — Click here to get an answer to your question ✍️ 3. Simplify 32 • 35 ... 3. Simplify 32 • 35. (4 points) 37 310 97 910. 2. See answers. Log in to ...
2 answers
Step-by-step explanation:
The graph of a linear system is shown.
What is the solution to this linear system? Enter a value in each box to create an ordered pair.
The solutions to a linear system will always be the interception of the graphs.
In this case, the solution is \((2,7)\)
A certain strain of bugs had a population of 72. Two weeks later the population had reduced to 28.a) Develop the function of the form p = ae^kt that represents the population after t weeks.b) Use the function to predict when the population will be less than 1 bug (i.e. disappear).
ANSWER:
(a)
\(p=72\cdot e^{-0.472t}\)(b)
During the 9th week, in week 10, the population has already disappeared
STEP-BY-STEP EXPLANATION:
We have that the function has the following form:
\(p=a\cdot e^{kt}\)(a)
We can calculate the value of k, knowing that after two weeks the population dropped from 72 to 28, therefore we replace these values and solve for k, like this:
\(\begin{gathered} 28=72\cdot e^{k\cdot2} \\ e^{2k}=\frac{28}{72} \\ 2k=\ln (\frac{28}{72}) \\ k=\frac{\ln(\frac{28}{72})}{2} \\ k=-0.472 \end{gathered}\)Therefore, the function would be:
\(p=72\cdot e^{-0.472t}\)(b)
In order to predict when the population is less than 1, we must do the following inequality:
\(\begin{gathered} 1<\: 72\cdot\: e^{-0.472t} \\ \frac{1}{72}\frac{1}{72} \\ -0.472t>\ln (\frac{1}{72}) \\ t<\frac{\ln (\frac{1}{72})}{-0.472} \\ t<9.05 \end{gathered}\)Which means that between the first 8 weeks the population will be greater than 1 and during the ninth week the population will begin to be less than 1
bridge is raised so that it forms a 15° angle with the ground. It is then raised some more so that it forms a 43° angle with the ground. How many degrees was the draw bridge raised from its first position to its second position?
Answer: If you minus it the answer is -0.488692191 rad
I think
Step-by-step explanation:
How do you find the second of an angle?
The whole part of the measure of an angle in decimal degrees is the whole number of degrees. Multiplying the decimal part by 60 gives the number of minutes. If this number of minutes has a decimal part, then multiplying this decimal part by 60 gives the number of seconds.
These are my opinion
Three segments are chosen at random from six segments having lengths of 2, 3, 5, 6, 7 and 10 units. What is the probability that the three segments chosen could form a triangle? Express your answer as a common fraction
Using the probability concept, it is found that there is a \(\frac{7}{20}\) probability that the three segments chosen could form a triangle.
A probability is the number of desired outcomes divided by the number of total outcomes.
In this problem, the order in which the sides of the segments are chosen is not important, hence, the combination formula is used to find the number of total outcomes.Combination formula:
\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by:
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
Total outcomes:
3 segments from a set of 6 lengths, hence:
\(C_{6,3} = \frac{6!}{3!3!} = 20\)
Desired outcomes:
Segments can make a triangle if the sum of the lengths of the smaller segments is greater than the length of the larger segment.Hence, the possible options are: (2,5,6), (3,5,6), (3,5,7), (5,6,7), (5,6,10), (5,7,10), (6,7,10).There are 7 desired outcome, hence \(D = 7\)Then:
\(p = \frac{D}{T} = \frac{7}{20}\)
\(\frac{7}{20}\) probability that the three segments chosen could form a triangle.
To learn more about the probability concept, you can take a look at https://brainly.com/question/24437717
14.32 × 1.2,...........
Answer:
17.18400
Step-by-step explanation:
When rounded to the nearest whole number, it's 17.
Hope this helped :)
A voter receives a call in which the caller claims to be conducting a national opinion research poll. The voter is asked if his or her opinion about a congressional candidate would change if he or she knew that the candidate once had a car crash while driving under the influence of alcohol. Identify and explain at least one source of bias in the study described. Then suggest how the bias might have been avoided?
a. The data do not seem to support the claims being made by the study. The researcher should consult an expert to make sure that he or she is correctly interpreting the data.
b. The study does not appear to have a well-defined goal. The researcher should determine his or her goal and precisely define the variables of interest.
c. Since the sample is self-selected, there is a definite participation bias in this study. The researcher should randomly select the subjects of the study.
d. The wording of the question is biased to strengthen opposition against a particular candidate. The question wording should be changed to be more neutral.
Answer:
The correct answer is D. The wording of the question is biased to strengthen opposition against a particular candidate. The question wording should be changed to be more neutral.
Step-by-step explanation:
The phrasing and setup of the poll will produce responses that are biased against the candidate. The setup of the poll should be changed to avoid influencing the opinions of the respondents.
The mean weight of all Goliath grouper caught on the Treasure coast is 418 pounds, with a standard deviation of 74 pounds. Suppose a random sample of 39 Goliath Grouper from the Treasure Coast are caught and weighed.
Determine the probability that the average weight of the sample of 39 Goliath Grouper is within 14 pounds of the average weight of all Goliath Grouper caught on the Treasure Coast. Round the solution to four decimal places, if necessary.
Therefore, the probability that the average weight of the sample of 39 Goliath Grouper is within 14 pounds of the average weight of all Goliath Grouper caught on the Treasure Coast is approximately 0.2342 or 23.42%.
What is mean?In mathematics and statistics, the mean is a measure of central tendency of a set of numerical data. It is also known as the arithmetic mean or average, and is calculated by summing up all the values in the dataset and then dividing by the number of values. The mean provides a useful summary of the data as it gives an idea of the typical or average value in the dataset. It is commonly used in various fields, including finance, science, and social sciences, to analyze and interpret data. However, the mean can be sensitive to extreme values or outliers in the dataset, so it is important to consider other measures of central tendency, such as the median and mode, in addition to the mean.
Here,
We can approach this problem using the central limit theorem, which states that the distribution of sample means will be approximately normal, with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.
Let's first calculate the standard error of the mean:
standard error of the mean = standard deviation / sqrt(sample size)
= 74 / √(39)
≈ 11.83
Next, we need to find the z-score corresponding to a sample mean within 14 pounds of the population mean:
z = (sample mean - population mean) / standard error of the mean
= (418 - 14 - 418) / 11.83
= -1.19
Using a standard normal distribution table or calculator, we can find that the probability of a z-score less than -1.19 is about 0.1171. Since we're interested in the probability that the sample mean is within 14 pounds of the population mean, we can multiply this probability by 2 to account for the area under the curve in both tails:
P(sample mean within 14 pounds of population mean) ≈ 2 * 0.1171 ≈ 0.2342
To know more about mean,
https://brainly.com/question/3116920
#SPJ1
What is the area of the composite figure whose vertices have the following coordinates? (2,-2), (2,1), (4,2), (6,2), (4,-1)
Enter your answer in the box.
__Units Sqared
The area of the composite figure whose vertices have the (2,-2), (2,1), (4,2), (6,2), (4,-1) coordinates is 6 square units
We first need to plot all the given points A (2,-2), B (2,1), C (4,2), D (6,2)and E (4,-1) which is coordinate geometry
After joining the Points which is a pentagon and it can be divided in two shapes one is triangle CDE and a quadrilateral ABCE
Using the distance formula
BC = \(\sqrt{(y2-y1)^{2}+(x2-x1)^{2} }\) = \(\sqrt{(2-1)^{2} + (4-2^{2} }\) = √5
Since BC = AE and BC ll AE , we can say ABCE is a parallelogram
area of a parallelogram = base × Altitude
= 2 × 2= 4
Area of triangle CDE where CD is perpendicular and CE is the base
= 1/2 ( 2×2)
= 1/2 (4)
= 2 square units
So the area of ABCDE = Area of ABCE + area of CDE
= 4 square units + 2 square units
= 6 square units
Hence, the area of the composite figure whose vertices have the (2,-2), (2,1), (4,2), (6,2), (4,-1)coordinates is 6 square units
To know more about coordinate geometry - https://brainly.com/question/26071752
#SPJ9
Determine the turning points and distinguish between them when necessary y=x³ - 3x - 9x + 4
The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).
To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.
1. Find the derivative of the function:
y' = 3x² - 6x - 9
2. Set the derivative equal to zero and solve for x:
3x² - 6x - 9 = 0
3. Factorize the quadratic equation:
3(x² - 2x - 3) = 0
4. Solve the quadratic equation by factoring or using the quadratic formula:
(x - 3)(x + 1) = 0
This gives us two possible values for x: x = 3 and x = -1.
5. Substitute these critical points back into the original function to find the corresponding y-values:
For x = 3:
y = (3)³ - 3(3)² - 9(3) + 4
= 27 - 27 - 27 + 4
= -23
For x = -1:
y = (-1)³ - 3(-1)² - 9(-1) + 4
= -1 - 3 + 9 + 4
= 9
6. Therefore, the turning points are (3, -23) and (-1, 9).
Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.
For more such questions on points, click on:
https://brainly.com/question/26865
#SPJ8
Morgan, Nicholas, and Brooklyn had a challenge to see who could run the farthest in a week. Morgan ran 20 miles, Nicholas ran 14 times as many miles as Morgan and Brooklyn ran 1/3 as many miles as Nicholas. What equation could you use to find how many miles Brooklyn ran?
The equation to find how many miles Brooklyn ran is z = 1/3y.
Equation:
An equation is the statement of equality between two expressions consisting of variables and/or numbers.
Given,
Morgan, Nicholas, and Brooklyn had a challenge to see who could run the farthest in a week. Morgan ran 20 miles, Nicholas ran 14 times as many miles as Morgan and Brooklyn ran 1/3 as many miles as Nicholas.
Here we need to find the equation could you use to find how many miles Brooklyn ran.
Let x be the miles run by Morgan, y be the miles run by Nicholas and z be the miles rum by the Brooklyn.
So, it can be written as,
=> x = 20
=> y = 14x
=> z = 1/3y
To know more about Equation here.
https://brainly.com/question/10413253
#SPJ1
The ratio of the number of baskets made by Tony to the number of baskets made by Colin is 2 to 3. Tony made 10 baskets. How many baskets did Colin make?
Step-by-step explanation:
The ratio of the number of baskets made by Tony to the number of baskets made by Colin is 2 to 3
let the ratio be 2x and 3x
Tony made 10 baskets
so , 2x=10
x=5
3x =3×5=15
so , Collin made 15 baskets
Bandhan Bank employee salary after 10 years
Answer:
- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries
Pablo used a total of 5 3/4 gallons of gas while driving his car. Each hour he was driving, he used 5/6 gallons of gas. What was the total number of hours he was driving? Write your ans
10. Prime numbers from 1 to 100 are running a restaurant - PRIME SPOT, near a tourist point. On a winter holiday, 1 and the composite numbers up to 100 enter the restaurant for dinner after their picnic at the same point. The dining hall has tables with seating capacity 15 for each. If they occupy tables without leaving any chair free, how many tables are required? If each prime number attender has to serve equal number of customers, how many customers should each one get to serve?
6 tables are required. Each prime number attender should serve 3 customers each.
The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
All the numbers other than prime numbers are composite numbers.
The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.
Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables
Therefore, 6 tables are required.
Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.
Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.
Thus, each prime number attender should serve 3 customers each.
For more questions on prime number
https://brainly.com/question/145452
#SPJ8
ryan is planning a party for his parents' anniversary. The caterer charges a delivery fee of $14 plus an additional & 5.25 per person. If he can spend no more than $350, how many people can he invite?
Can you help me define the variable, set up an equality, and solve it?
Answer:
18
Step-by-step explanation:
$14+$5.25=$19.25
$19.25 x 18 = $346.5
Answer:
variable(X)- amount of people he can invite
inequality- 350≥14+5.25x
answer- He can invite 63 people
Step-by-step explanation:
350≥14+5.25x
334≥5.25x
63.62≥x
Because you cannot have only part of a person, the most amount of people he can invite is 63.
Two brothers have a total age of 28 if one brother is older by 20 years how old is the second brother
Answer:
8
Step-by-step explanation:
Total meaning addition, you would use the opposite operation to find the answer.
28 - 20 = 8
And to check your work you would add;
20 + 8 = 28
which is the brothers total combined age.
Answer:
8
Step-by-step explanation:
NEEED ANSWER RN D 3 in. F 8 in.> E 3 in. This trapezoid has been divided into two right triangles and a rectangle. 12 ini How can the area of the trapezoid be determined using the area of each shape? Enter your answers in the boxes. A 8 in. B. The area of the triangle on the left is in?, the area of the rectangle is in?, and the area of the triangle on the right is in? The area of the trapezoid is the sum of these areas, which is in?
Answer:
18in 96in 18in and 132in
Step-by-step explanation:
I go to k12 and got the answer heres proof
identify the slope -x+3y=10
Answer:
To find the slope use the slope-intercept form y=mx+b.
m = 1/3
Answer:
-x+3y=10
the slope is1/3
m=-1/3
Find the area of the triangle.
7 yd
24 yd
The area is
square yards.
Answer:
84 yd^2
Step-by-step explanation:
Answer:
½ × 7yd × 24yd = 84yd² <<<<< the answer
After a raise, Michelle's salary increased from $35000 annually to $36925. Find the percent increase
Answer:
5.5%
Step-by-step explanation:
To solve you can use the equation for percent increase
((New Value - Old Value) / Old Value) * 100
Plugging in values you get
((36925 - 35000) / 35000) * 100
(1925 / 35000) * 100
.055 * 100
5.5%
The percent increase is 5.5%