Answer: Rational, Irrational, Rational, Natural, Natural, Integer
Step-by-step explanation:
-4.2 is a rational number as it can be converted into a fraction
3√5 is an irrational number as it can't be converted into a fraction
5/3 is a rational number as it is a fraction
9 is a natural number as it is a positive whole number
√16 is a natural number as despite the square root, √16 is 4 which is a natural number
-8/2 is an integer as -8/2 is -4 which is a negative whole number
Samantha’s annual college tuition is $18,541.89. The college offers a monthly payment plan of 9 equal payments. How much would each monthly payment be?
Answer:
18541.89/9 = $2060.21 is the answer
Step-by-step explanation:
Total college tuition = $18541.89
Number of equal payments = 9
Equal payments = 18541.89/9
= $2060.21
(Please do correct me if I'm wrong as I'm not completely sure)
solve for 8v = 3v + 25
Answer:
v = 5
Step-by-step explanation:
Collect like-terms:
\(8v = 3v + 25\)
\(8v - 3v = 25\)
\(5v = 25\)
Divide both sides by 5 to make v the subject:
\(v = 5\)
Question 14 of 40
In the rectangle below, AC = 36 units. What is DE?
с
E
A
B
o
A. 24
B. 18
ОО
C. 12
O
D. 36
SUBMIT
Р.
to
Answer:
B. 18
Step-by-step explanation:
Quadrilateral ABCD is a rectangle.
Diagonals AC and BD intersect at point E.
Diagonals of a rectangle are equal in length.
\(\implies BD = AC\)
Diagonals of a rectangle bisect each other.
\(\implies\frac{1}{2} BD = \frac{1}{2} AC\\\\\implies DE = \frac{1}{2} \times 36\\ \\ \implies DE = 18\)
I need help. Click on the picture to see more!
Answer:
A) 3n= 3x1= 3
3n= 3x2= 6
3n= 3x3= 9
3n= 3x4= 12
3n= 3x5= 15
3n= 3x6= 18
3n= 3x7= 21
3n= 3x8= 24
3n= 3x9= 27
3n= 3x10= 30
B)7n= 7x1= 7
7n= 7x2= 14
7n= 7x3= 21
7n= 7x4= 28
7n= 7x5= 35
7n= 7x6= 42
7n= 7x7= 49
7n= 7x8= 56
7n= 7x9= 63
7n= 7x10= 70
C) 6n= 6x1= 6
6n= 6x2= 12
6n= 6x3= 18
6n= 6x4= 24
6n= 6x5= 30
6n= 6x6= 36
6n= 6x7= 42
6n= 6x8= 48
6n= 6x9= 54
6n= 6x10= 60
Which point could not be part of a function that includes (3, -1), (4, 2), (5, 4), (-2, 0), and (8, -3)?
(6, -7)
(2,2)
(3, -2)
(7, 4)
Answer:
(3, -2) is the correct choice.
suppose that dr. sameer surveys a random sample of 100 cal poly students, and for this sample the mean number of hours per day spent watching tv turns out to be 3.0 hours.
The number 3.01 is a statistic, the symbol for the number 3.01 is μ_hat; and To conduct a simulation-based test of significance, we need to compare the observed mean (3.01 hours) with the hypothesized mean (2.75 hours).
The number 3.01 is a statistic.
The symbol for the mean number of hours per day spent watching TV for the sample of 100 Cal Poly students is μ_hat.
To conduct a simulation-based test of significance, we need to compare the observed mean (3.01 hours) with the hypothesized mean (2.75 hours). The null hypothesis is that the population mean (μ) is equal to 2.75 hours, and the alternative hypothesis is that the population mean is not equal to 2.75 hours.
Steps to find p-value:
1. Calculate the difference between the observed mean and the hypothesized mean: d = μ_hat - 2.75 hours
2. Generate a large number of random samples with the same sample size as the original sample, and calculate the mean of each sample.
3. Calculate the difference between the mean of each sample and the hypothesized mean and store the values in a list.
4. Count the number of differences that are equal to or greater than the difference between the observed mean and the hypothesized mean (d).
5. Divide the count by the total number of simulations to get the p-value. This gives us the probability of getting a sample mean equal to or greater than the observed mean if the null hypothesis is true.
6. Compare the p-value with the significance level (α) to determine whether to reject or fail to reject the null hypothesis. If the p-value is less than α, we reject the null hypothesis and conclude that the data provide evidence that the average number of hours per day Cal Poly students spending the time watching TV is different from 2.75 hours.
If the p-value is greater than α, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the average number of hours per day Cal Poly students spending the time watching TV is different from 2.75 hours.
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--The given question is incomplete; the complete question is
"Reconsider Dr Sameer's research question about how much time Cal Poly students spend watching television. Suppose that Dr Sameer surveys a random sample of 100 Cal Poly students, and for this sample, the mean number of hours per day spent watching TV turns out to be 3.01 hours.
1. Is the number 3.01 a parameter or a statistic?
2. Assign an appropriate symbol to the number 3.01.
3. Describe how you can conduct a simulation‐based test of significance to investigate whether the data provide evidence that the average number of hours per day Cal Poly students spend watching TV is different from 2.75 hours. Be sure to provide details on how one would find a p‐value."--
Venessa bought 80 apples for 4$.out of these apples 25 precent were rotten and had to be thrown away Vanessa sold the remaining apples at 6 cents per apple. What is the profit or loss percentage
The loss percentage is 91%.Given that Venessa bought 80 apples for 4$, out of these apples, 25% were rotten and had to be thrown away. Venessa sold the remaining apples at 6 cents per apple.To calculate the profit or loss percentage, we need to determine the cost price, selling price, and the number of apples sold.
Cost price (CP) = 4 $.Selling price (SP) = 80 × 0.75 × 6 cents= 36 cents = 0.36 $.Now, let's calculate the profit.Profit = SP – CP= 0.36 $ – 4 $= – 3.64 $Loss = CP – SP= 4 $ – 0.36 $= 3.64 $.
Therefore, Venessa incurred a loss of $3.64 when she sold 80 apples at 6 cents per apple.Now let's calculate the loss percentage Loss Percentage = (Loss / CP) × 100= (3.64 / 4) × 100= 91%.
Therefore, the loss percentage is 91%.Note: If the result obtained after the subtraction of SP from CP is negative, it means there is a loss, and the percentage of loss can be calculated by (loss/CP) × 100.
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Use the following to determine your monthly balance for a monthly net income of $2,100. Monthly Expenses of: Fixed $750; living $1,000; Annual monthly share $375
Answer:add $750.00 + $1000.00 + $375.00 = $2125.00
Step-by-step explanation:
add all together. Your monthly expense of fixed amount, living, annual monthly,
some adults and children are watching a musical there are n children there are 25 fewer adults
According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99
A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.
B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.
To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.
Note: The given question is incomplete. The complete question is:
Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.
A) find the number of adults in terms of 'N'.
B) if there are 124 children how many adults are there?
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Mrs. Liang, the librarian, wants to compare the numbers of patrons who prefer e-books to paperback books. She decides to take a poll of every third adult with a child who arrives at the library for one of the four reading groups: toddlers, preschoolers, primary grades, and upper elementary. Which statement is true about her method of data collection?
Answer:
a
Step-by-step explanation:
She surveys adults with a child , preschoolers , Primary students, and upper elementary Students , and these are the majority of all the people that go to the library.
(it was also correct when i took it on Edge(nuiy!)
I hope this helped you a bit!!!!
Answer:
A
Step-by-step explanation:
Which one of these diagrams shows its reference angle in standard position?
Answer:
A
Step-by-step explanation:
MARK AS BRAINLIEST!!
Peter set off from Town A at 10 am, driving at an average speed of 84 km/h. He reached
Town B at 2 pm. If William set off 1 hour 25 minutes earlier than Peter and took the
same route at an average speed of 70 km/h, at what time would William reach Town B?
Peter left Town A around 10 a.m., traveling at an average speed of 84 km/h. William would reach Town B at 1:23 PM.
Firstly, we need to find the distance between Town A and Town B which can be calculated by calculating the distance travelled by Peter
Time taken by Peter = 2PM - 10AM
= 4 hrs
Speed of Peter = 84 km/h
Distance travelled by Peter = speed × time
= 84 × 4
= 336 km
So, the distance between Town A and Town B = distance travelled by Peter = 336 km.
Now, we will calculate time taken by William.
Speed of William = 70 km / hr
Distance travelled by William = distance between Town A and town B = 336 km
Time taken by William = distance / speed
= 336 / 70 hr
= 4.8 hr
This can b converted into hrs and minutes
4.8 hr = 4 hr + 0.8 × 60
= 4 hr 48 mins
Time William took off = 10 AM - 1hr 25 mins
= 8:35 AM
Now, we will calculate the time William would reach town B.
Time = 8:35 + 4hr 48 mins
= 1:23 PM
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the sum of three consecutive even numbers is 42. what are the three numbers?
Answer:
12, 14, and 16
Step-by-step explanation:
Assume
1st number: x
2nd number: x+2
3rd number: x+4
(I'm adding 2 for each number because even numbers skip by 2)
The numbers add to 42, so
x+(x+2)+(x+4)=42
x+x+2+x+4=42
3x+6=42
3x=36
x=12
1st number: 12
2nd number: 12+2=14
3rd number: 12+4=16
12, 14, and 16
A table is being sold for 67% off the regular price the sale price is $536 what is the regular price
Answer:
Step-by-step explanation:
Use a simple Equation
Price = Number x Price
So Price = 536.
Since it was 67% off we multiple the price of the original by .67.
So
536 = .67x
Solve for x = 536/.67 = 800
The original Price is $800.
check by multiplying by the sale %.
You put $126 in a savings account that earns 3% annual interest compounded monthly. You
do not make any deposits or withdrawals. How much will your investment be worth in 4
years?
Answer:
$142.04
Step-by-step explanation:
The compound interest formula tells you the value will be ...
A = P(1 +r/12)^(12t)
Principal P invested at annual rate r compounded monthly for t years.
__
Using the given values, the formula tells you the investment value will be ...
A = $126(1 +0.03/12)^(12·4) = $126(1.0025^48) ≈ $142.04
Your investment will be worth $142.04 in 4 years.
Please help me with this question!!! I'm
desperate!
Which of the following could be the ratio between the lengths of the two legs
of a 30-60-90 triangle?
Check all that apply.
A. √2:2
B. √√3:√√3
C. √5:3
D. 1 √3
□ E. 1: √2
O F. 2:3
SUBMIT
Answer: E
Step-by-step explanation:
what is inequalities
Inequalities are used in various branches of mathematics, as well as in real-world applications such as economics, physics, and social sciences, to describe relationships, make comparisons, and analyze data.
Inequalities are mathematical statements that describe a relationship between two values or expressions, indicating that one is greater than, less than, or not equal to the other. Inequalities are used to compare quantities and express their relative sizes or order.
The most common symbols used in inequalities are:
">" (greater than): indicates that the value on the left side is larger than the value on the right side.
"<" (less than): indicates that the value on the left side is smaller than the value on the right side.
"≥" (greater than or equal to): indicates that the value on the left side is greater than or equal to the value on the right side.
"≤" (less than or equal to): indicates that the value on the left side is less than or equal to the value on the right side.
"≠" (not equal to): indicates that the values on both sides are not equal.
Inequalities can be represented using variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Solutions to inequalities are often expressed as intervals or sets of values that satisfy the given inequality.
Inequalities are used in various branches of mathematics, as well as in real-world applications such as economics, physics, and social sciences, to describe relationships, make comparisons, and analyze data.
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What is the relationship between Riemann Sum and definite integral?
Which ones right ????
To make 6 cups of ramen, 2/3 of noodle is needed to make 10 cups of ramen. How many cups of ramen can you make with 1 3/4 cups of noodle?
Answer: You can make 2 ramen
Step-by-step explanation:
Answer:
2 :)
Step-by-step explanation:
if q is inversely proportional to r squared and q=30 when r=3, find r when q=1.2
Answer:
r = 3
Step-by-step explanation:
q = k / \(r^{2}\)
k = q\(r^{2}\) = 1.2 x 3 x 3 = 10.8
q = 10.8/\(r^{2}\)
1.2 = 10.8/\(r^{2}\)
r = \(\sqrt{10.8 /1.2}\) = 3
As q is inversely proportional to r square the value of r is 1.66 when q is equal to 1.2
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant 'k' and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, q is inversely proportional to r square which is,
q ∝ 1/r².
q = k/r².
q = 30 when r = 3, From this we'll have the value of the constant of proportionality(k).
30 = k/9.
k = 30/9.
k = 10/3.
Now, q = 1.2 and k = 10/3.
Therefore,
1.2 = (10/3)/r².
r² = (10/3)×(1/1.2).
r² = 10/3.6.
r² = 2.77.
r = 1.66
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Imagine that you are an engineer for a soda company, and you are tasked with finding the most economical shape for its aluminum cans You are given a set of constraints: the can must hold a volume of liquid and be a cylindrical shape of height hand radius r, and you need to minimize the cost of the metal required to make the can
Look at a variety of aluminum cans of different sizes from the supermarket. Which models from problems a–c best approximate the shapes of the cans? Are the cans actually perfect cylinders? Are there other assumptions about the manufacture of the cans that we should take into account? Do a little bit of research, and write a one-page response to answer some of these questions by comparing our models to the actual dimensions used.
Answer:
The answer to that depends on the company
Step-by-step explanation:
Which translation moves a triangle 6 units to the right and 3 units down?
(x,y) → (x+ 6,y - 3)
(х,y) →(x - 6, y + 3)
(x,y) → (x-3,y+ 6)
Answer:
(x,y) → (x+ 6,y - 3)
Step-by-step explanation:
I think you posted this question earlier as well? Basically, x moves left and right, while y moves down and up. Therefore, if you wanted to move 3 units down, you would use y-3.
find the coordinates of the centroid. A(-7,-4) B( -3, 5) C (1, -4)
PLEASE HELPP ASAP!!
5.(06.02 MC)
Line BC contains points B (4, -5) and C (3, 2). Line DE contains points D (2,0) and E (9, 1). Lines BC and DE are (1 point)
parallel
perpendicular
neither
Answer:
Answer: Option A.
Step-by-step explanation:
Hey there!
Given; The Line BC contains points B (4, -5) and C (3, 2).
And the Line DE contains points D (2,0) and E (9, 1)
Note: Use double point formula for finding the equation and then find slopes of both then put the condition for perpendicular lines and parallel lines.
From line BC;
The points are B (4, -5) and C (3, 2).
Using double point formula;
\((y - y1) = \frac{y2 - y1}{x2 - x1}(x - x1) \)
Keep all the value;
\((y + 5) = \frac{2 + 5}{3 - 4} (x - 4)\)
Simplify it;
\(y + 5 = - 7x + 28\)
Therefore, the equation is y = -7x+23........(I)And slope(m1) is -7 {comparing the equation (I) with y=Mx+c}
Again;
The points D (2,0) and E (9, 1)
Using double point formula;
\((y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)\)
Keep all values;
\((y - 0) = \frac{9 - 2}{1 - 2} (x - 2)\)
\(y = - 7x + 14\)
Therefore, the equation is y = -7x+14......(ii)And the slope (m2) is -7. {comparing the equation (ii) with y= mx+c}
Check:
For parallel lines:
m1= m2
-7 = -7 (true)
Therefore, the lines are parallel.
Hope it helps!
Support for character vector or string inputs will be removed in a future release. Instead, use syms to declare variables and replace inputs such as dsolve('Dy = -3*y') with syms y(t); dsolve(diff(y,t) == -3*y).
The support vector of the input dsolve('Dy = -3*y') is "dsolve(diff(y,t) == -3*y)".
A symbol is a mathematical object that represents a mathematical entity, such as a number, a variable, or a function. In mathematical software, symbols are used to represent variables, which can be used in mathematical expressions to perform computations.
In the past, character vectors or strings were used to represent symbols in certain mathematical software programs.
In the future release of this software, support for character vectors or strings will be removed. Instead, the program will require users to use the "syms" function to declare variables as symbols.
As an example of how this might be used in practice, consider the differential equation
=> "dy/dt = -3y".
In the past, this equation might have been entered into a mathematical software program using a character vector or string to represent the variable "y".
However, in the future release of this software, the user will need to use the "syms" function to declare "y" as a symbol. The equation would then be entered using the "diff" function, like this:
=> "dsolve(diff(y,t) == -3*y)".
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GIVING BRAILIEST PLEASEE!! Given an exponential function for compounding interest, A(t) = P(0.82)t, what is the rate of decay?
A. 18%
B. 8%
C. 0.82%
D. 82%
Answer:A
Step-by-step explanation:
To find the rate of decay, we need to use the formula A(t) = P(0.82)^t, where A(t) is the amount after t years, P is the initial amount, and 0.82 is the decay factor.
The decay factor is equal to 1 minus the decay rate, so we can solve for the decay rate as follows:
0.82 = 1 - r
r = 1 - 0.82
r = 0.18
Therefore, the rate of decay is 18%, which corresponds to answer choice A.
Answer:
A
Step-by-step explanation:
Select the correct answer.
It costs $480.00 to rent an apartment on the Gold Coast for a weekend. Last year it cost $400.00.
What method below shows how you would calculate the % increase?
The method is: Find the increase and find the ratio of the increase and the old price.
The percentage increase is 20%
What method below shows how you would calculate the percentage increase?A percentage is defined as the ratio that can be expressed as a fraction of 100.
The method below shows how you would calculate the % increase.
First step: Find the increase:
increase = 480 - 400 = $80
Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:
80/400 * 100 = 20%
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describe the transformations needed to translate the graph y=1/x to the graph of y=1/x+3 -4
i cant describe but i put y=1/x+3 -4 on the graph hope this helps
Answer:
to the left 3 and down 4
Step-by-step explanation: