2π is about 6.38 (since π is about 3.14).
sqrt(29) is about 5.something, since 29 is between 25 and 36 and sqrt(25)=5 and sqrt(36)=6.
third root of 64 is 4, since 4^3 = 63.
So, the least is third root of 64,
then sqrt(29),
then 2π.
Please help me
In a city all the houses are either three or four storeyed the ratio of the number of three storyed building to four storeyed building is 5:3 if the total number of buildings is 488 find the number of four storeyed buildings.
Determine whether the equation has no solution, one solution, or infinitely many solutions.
-2(11-12x)= -4( 1 -6x)
There are 6 new books and 7 used books on a shelf.
Part A
The ratio of all books to new books is 13 : 6
Part B
The ratio of used books to all books is 7 : 13
The number of new books = 6
The number of used books = 7
Total number of books on the shelf = The number of new books + The number of used books
Substitute the values in the equation
Total number of books on the shelf = 6 +7
Add the numbers
= 13 books
Part A
The ratio of all books to new books is
The total number of books : Number of new books = 13 : 6
Part B
The ratio of used books to all books is
Number of used books : Total number of books = 7 : 13
Hence,
Part A
The ratio of all books to new books is 13 : 6
Part B
The ratio of used books to all books is 7 : 13
The complete question is
There are 5 new books and 6 used books on a shelf.
(a) What is the ratio of all books to new books?
(b) What is the ratio of used books to all books?
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The length of a rectangle is "a" inches and the width is 3 inches more than its length. find the perimeter and the area
Answer:
Step-by-step explanation:
Givens
Length = a
Width = a + 3
Formulas
P = 2L + 2w
Area = L * w
Solution
Perimeter
P = 2L + 2w
P = 2*a + 2(a + 3) Remove the Brackets
p = 2a + 2a + 6 Combine
P = 4a + 6
Area
Area = L * w
Area = a (a + 3)
Area = a^2 + 3a
Suppose you have a job that pays $13.50 per hour and you work anywhere from 10 to 40 hours per week. a. Write an equation, with a restriction on the variable I, that gives the amount of money, y, you will earn for working 2 hours in one week. y = _____ , Preview with ____ <= x <= ____ b. Use the function rule you have written in part a. to find the y values for the given z values: x = 10, y = ___ x = 20, y= ___
x = 30, y = ____. x = 40, y = ____ c. Construct a line graph from the information found in b. 520+ -480+ 440+ 400- 360 320- 280- 240 200 160+ 120+ 80- 40+ 10 20 30 40 Clear All Draw: Line Dot Open Dot d. State the domain and range of this function. Domain: ____ <= x <= ______
Range: <= y <= _____
e. What is the minimum amount you can earn in a week with this job? You'll earn at least $ ______.
What is the maximum amount? You can earn up to $ ____.
The maximum amount you can earn is $540
a. y = 13.50x , 10 <= x <= 40
b. x = 10, y = 135; x = 20, y= 270; x = 30, y = 405; x = 40, y = 540
c. Domain: 10 <= x <= 40; Range: 0 <= y <= 540
d. The minimum amount you can earn in a week with this job is $135. The maximum amount you can earn is $540.
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Using the unpaid balance method, find the current month's finance charge on a credit card account having the following transactions. Last month's balance: $475 Last payment: $150 Annual Interest rate: 15% Purchases: $569 Returns: $201The finance charge is $ ___________(Round to the nearest cent.)Note: The unpaid balance method calculates the finance charge on a credit card loan by using the simple interest formula I=Prt.
First, we need to subtract the last payment from the last month's balance.
\(\text{LMP}-LP=475-150=325\)Then, apply the interest:
\(\text{AIR}=325\cdot0.15=48.75\)Use the divergence theorem to find the outward flux of F across the boundary of the region D. F = (5y ? 4x)i -(4z ? 5y)j - (3y ? 2x)k D: The cube bounded by the planes x= plus or minus 1, y= plus or minus 1, and plus or minus 1 The outward flux is
The outward flux of the vector field F across the boundary of the region D, which is the cube bounded by the planes x = ±1, y = ±1, and ±1, can be found using the divergence theorem.
The outward flux is the integral of the divergence of F over the volume enclosed by the boundary surface.The first step is to calculate the divergence of F. The divergence of a vector field F = P i + Q j + R k is given by div(F) = ∂P/∂x + ∂Q/∂y + ∂R/∂z. In this case, div(F) = ∂/∂x(5y - 4x) + ∂/∂y(-4z - 5y) + ∂/∂z(-3y - 2x). Simplifying these partial derivatives, we have div(F) = -4 - 2 - 3 = -9.
Applying the divergence theorem, we can relate the flux of F across the boundary surface to the triple integral of the divergence of F over the volume enclosed by the surface. Since D is a cube with sides of length 2, the volume enclosed by the surface is 2^3 = 8.
Therefore, the outward flux of F across the boundary of D is given by ∬S F · dS = ∭V div(F) dV = -9 * 8 = -72. The negative sign indicates that the flux is inward.
In summary, the outward flux of the vector field F across the boundary of the cube D, as described by the given vector components, is -72. This means that the vector field is predominantly flowing inward through the boundary of the cube.
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Can someone pass help!!:(
Answer:
proofs attached to answer
Step-by-step explanation:
proofs attached to answer
Assume the distribution of IQ scores for adults can be modeled with a normal distribution with a mean score of 100 points and a standard deviation of 10 points. 90% of adults will have an IQ score higher than what value?
The IQ score that is higher than 90% of the population is 112.8.
We know that the IQ scores follow a normal distribution with a mean of 100 and a standard deviation of 10.
Let X be the random variable representing the IQ scores. We want to find the value x such that 90% of the observations lie above x.
Using the standard normal distribution table or calculator, we can find the z-score corresponding to the 90th percentile as 1.28.
The z-score formula is z = (x - μ) / σ, where μ is the mean, σ is the standard deviation and x is the value we want to find.
Plugging in the values, we get 1.28 = (x - 100) / 10. Solving for x, we get x = 100 + 12.8 = 112.8.
Therefore, the IQ score that is higher than 90% of the population is 112.8.
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Kevin is a server at an all-you-wish-to eat sushi restaurant. At one table, the customers ordered 3 child meals and 2 adult meals, which cost $80 in total. At another table, the customers ordered 5 child meals and 3 adult meals, which cost $125 in total. How much does each child meal and adult meal cost?
Answer:
Read below for full answer :)
Step-by-step explanation:
We can conclude that the total cost of all meals was $205.
There were a total of 8 kids meals and 5 adult meals.
You'd have to divide 205 by 8, and you'd get 25.625.
Then, divide 205 by 5, and you'd get 41.
For example, we could say that each childrens meal was $15 ($120 total in kid's meals), and each adult was $17 ($85 total in adult meals).
When you total $85 and $120, it then given you a sum of $205.
There are many ways to complete this equation, but i feel that this is the easiest way.
Hope this helps! :)
Recall u₁ = [1, 3], u₂ = [0,3], v₁ = [−2, 0] and 2 = [3, 2], so that B = {1, 2} and C = {1, 2} are bases of R2. Having found the transition matrix PCB in the previous question, now find the coordinates of the following vectors with respect to C (enter the coordinates as a vector in the form [1, 3]).
The coordinates of w = -2.1 +3.2 with respect to C are (w) c = |
The coordinates of w = -6.1 +2.2 with respect to C are (w) c
The coordinates of w = -6.1 +2.2 with respect to C are [-21.8, -1.6].
Recall u₁ = [1, 3], u₂ = [0,3], v₁ = [−2, 0] and 2 = [3, 2], so that B = {1, 2} and C = {1, 2} are bases of R2.
Having found the transition matrix PCB in the previous question, now find the coordinates of the following vectors with respect to C (enter the coordinates as a vector in the form [1, 3]).
Given u1, u2, v1, and 2, the transition matrix PCB from basis B to basis C of R2 is\[P_{BC} = \begin{bmatrix} -1 & 3 \\ 1 & 0 \end{bmatrix}\]
Therefore, the coordinates of w = -6.1 +2.2 with respect to C are[-21.8, -1.6].
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Develop a table of values for each equation. Find at least three ordered pairs for each one
1.y=x+4
2.y=3x-6
To develop a table of functions for the values we have
y = x + 4
x y
0 4
1 5
2 6
3 7
the ordered pairs (0, 4) (1, 5) (2, 6) (3, 7)
y = 3x - 6
x y
0 -6
1 -3
2 0
3 3
the ordered pairs (0, -6) (1, -3) (2, 0) (3, 3)
How to find the table of valuesy = x + 4
The input values is x so we get numbers say 0, 1, 2, 3 and plug them into the equation to get the corresponding values of y to be 4, 5, 6, 7
y = 0 + 4 = 4
y = 1 + 4 = 5
y = 3x - 6
The input values is x so we get numbers say 0, 1, 2, 3 and plug them into the equation to get the corresponding values of y to be -6, -3, 0, 3
y = 3(0) - 6 = 0 - 6 = -6
y = 3(1) - 6 = 3 - 6 = -3
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if the airline books 70 people on a flight for which the maximum number is 65, what is the probability that the number of people who show up will exceed the capacity of the plane?
Without the individual probability of a passenger showing up, we cannot calculate the exact probability of the number of people who show up exceeding the capacity of the plane
To solve this problem, we need to determine the probability that more than 65 people (the capacity of the plane) will show up from the 70 booked passengers.
Step 1: Identify the relevant information
- Maximum capacity of the plane: 65
- Number of people booked: 70
Step 2: Calculate the probability of each possible outcome
To exceed the capacity, at least 66 passengers must show up. We need to calculate the probability of 66, 67, 68, 69, and 70 passengers showing up. However, we don't have information on the individual probability of a passenger showing up. If we had this information, we could use the binomial probability formula.
Step 3: Express the final answer
Unfortunately, without the individual probability of a passenger showing up, we cannot calculate the exact probability of the number of people who show up exceeding the capacity of the plane. Please provide the probability of a passenger showing up so we can give you an accurate answer.
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Someone plz help me I will give brainliest
3) 0
5) 4 Minutes
4) 92,188,000
Step-by-step explanation:Question 3:
All numbers multiplied by 0 will always be 0.
So, a(110) × 0 = 0
-----------------------------------------------------------------------------------
Question 5:
100 ÷ 2 = 50 (#of times ÷ # of times)
50 × 5 = 250 (# of times × # of seconds)
250 ÷ 60 = 4.1 (#of total seconds ÷ seconds in a minute)
4.1 Rounded to the nearest tenth is 4.
Final Answer: 4-----------------------------------------------------------------------------------
Hope this Helps!:)
50 POINTS!!!! urgent!!!!!!
Mary is collecting cup cakes for the school fair. She will make 12 cupcakes to start it off. She plans to collect 24 cupcakes each
day from her surrounding neighborhood for the next 3 days. If you model this word problem for Mary as y=mx+b then match the
corrects pairs.
a. 12
b. 84
c. 3
d. 24
1. m
2. y
3. x
4. b
Since the problem is about linear equation in the form of y = mx + b, initial number represents the value of b = 12, the number of days represents the value of x = 3, the daily collection of cupcakes represent the slope m = 24, then the value of y is:
y = 24*3 + 12 = 72 + 12 = 84So the matching pairs are:
a ⇔ 4, b ⇔ 2,c ⇔ 3,d ⇔ 1 .How do you determine if a matrix is a linear combination of other matrices?
To determine if a matrix is a linear combination of other matrices, we need to check if it can be written as a weighted sum of those matrices where the weights are scalar values (numbers).
If a matrix can be expressed in this way, it is said to be a linear combination of the other matrices.
For example if we have matrices: A, B & C and we can write matrix D as follows:
D = 2A + 3B + CThen D is a linear combination of matrices A, B and C. This concept is important in linear algebra as it allows us to express one matrix in terms of others. Making it easier to manipulate & analyze the matrices. A matrix is a linear combination of other matrices if it can be expressed as a weighted sum of those matrices where the weights are scalar values.
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the mathematical answer of 1+1
Answer:
two
Step-by-step explanation:
one and add another one
please help me
Find the value of x using your knowledge of the relationship between interior and exterior angles.
Answer:
x = 152.6
Step-by-step explanation:
180 - 27.4 there you go
Answer: 152.6
Step-by-step explanation:
Remember the interior and exterior angle add up to 180°.
180 - 27.4 = 152.6
A large chess tournament begins with 256 players. After each round. . half of the players remain.
I cant see the image very well. Could you explain your question?
At the beginning of the year, Alyssa had $100 in savings and saved an additional $7
each week thereafter. Colton started the year with $55 and saved $10 every week. Let
A represent the amount of money Alyssa has saved t weeks after the beginning of the year and let C represent the amount of money Colton has saved t weeks after the
beginning of the year. Write an equation for each situation, in terms of t, and determine the amount of money Alyssa and Colton have saved in the week that they
have the same amount of money saved.
Answer:the answer is 4.55
Step-by-step explanation:
Which number rounds to 10,000 when you round it to the nearest ten thousand and to 6,000 when you round it to the nearest thousand?
Answer:
10000
Step-by-step explanation:
The answer would be 10000. You always use the digit to the right of the place you want to round to help you determine whether to round up or down. But notice you said "round the thousand", but you are actually rounding the ten thousand, by looking at the thousand.
Answer:
The number that rounds to 10,000 when rounded to the nearest ten thousand and to 6,000 when rounded to the nearest thousand is 7,500.
When 7,500 is rounded to the nearest ten thousand, the result is 10,000 because the ten thousand digit is 1 and the rounding digit (the thousands digit) is 5, which is greater than or equal to 5.
When 7,500 is rounded to the nearest thousand, the result is 6,000 because the rounding digit (the hundreds digit) is 5, which rounds up the tens digit to 0 and changes the thousands digit to 6.
2(x + 3) = x- 4 rheurhejdbsvshdvd
answer the integer -15 + 32 =?
Answer:the answer is 17
Step-by-step explanation:
so what is 15 - 30 = 15 then add 2 and you got your answer 17
Answer:
17
Step-by-step explanation:
32 + -15 = 17
You owe 3 of your friends $15 dollars each. Before you pay your friends back, you
have $52. How much money do you have after paying your friends back?
Answer:
$7
Step-by-step explanation:
Since you have to pay 3 of your friends $15 each, you would multiply 15 by 3 and get 45. Then you would subtract that from 52 and you would get $7.
probability of spinning hearts on the spinner ( 1/8 of the spinner is hearts) and then getting a three on a die
Answer:
56
Step-by-step explanation:
all the tables that represent the function y=8x+2
Each x-value is paired with its corresponding y-value, which is calculated by multiplying the x-value by 8 and adding 2. For example, when x = 1, y= 8(1) + 2 = 10.
What do you mean by compound interest?Compound interest is a method of calculating interest where the interest earned on an investment is added to the principal amount, and the interest on the new total is calculated for the next period. This process continues over time, resulting in the gradual growth of the investment.
Given by the question.
There is only one table that can represent the function y = 8x + 2, which is as follows:
x y
0 2
1 10
2 18
3 26
4 34
5 42
6 50
7 58
8 66
9 74
10 82
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Graph the function f(x)=
–
x2.
Answer:
f(x) = -x^2 is a downward parabola.
Step-by-step explanation:
The f(x) = x^2 graph is a parabola pointing up. Therefore, f(x) = -x^2 is a downward parabola.
Match the labels for the graph to the letter on the image below:
The labels on the graph are given as follows:
A: y-axis.B: x-axis.C: origin.D: x-intercept.E: y-intercept.What are the intercepts of a function?The x-intercept of a function is given by the value of x when f(x) = 0, that is, the value of x when the function crosses the x-axis.The y-intercept of a function is given by the value of f(x) when x = 0, that is, the value of y when the function crosses the y-axis.More can be learned about the intercepts of a function at https://brainly.com/question/3951754
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Need help completing!
the total cost of a calculator is $28.19 is the price of the calculated before (13%) $23.99 or $24.95
The cost of the calculator before the total is $24.95
How to determine the cost of the calculator before the totalFrom the question, we have the following parameters that can be used in our computation:
Total cost = $28.19
Tax = 13%
Using the above as a guide, we have the following:
Total cost = Initial cost * (1 + Tax)
substitute the known values in the above equation, so, we have the following representation
Initial cost * (1 + 13%) = 28.19
So, we have
Initial cost = 28.19/(1.13)
Evaluate
Initial cost = 24.95
Hence, the cost of the calculator before the total is $24.95
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The ponderal indexis a measure of the "leanness" of a person. A person who is h inches tall and weighs w pounds has a ponderal index I given by I = a. Compule the ponderal index for a person who is 76 inches tall and weighs 192 pounds: Round to the nearest hundredth. b. What is a man's weight if he is 77 inches tall and has a ponderal index of 11.56 ? Round to the nearest whole number. a. The ponderal index for a person who is 76 inches tall and weighs 192 pounds is (Round to the nearest hundredth as needed.)
The ponderal index cannot be computed without the value of the constant "a" in the formula. Therefore, the ponderal index for a person who is 76 inches tall and weighs 192 pounds cannot be determined.
To compute the ponderal index, we need the formula and the value of the constant "a."
a) The formula for the ponderal index is given as I = a, where I represents the ponderal index and a is a constant. However, the value of the constant "a" is missing in the provided information. Without knowing the value of "a," we cannot compute the ponderal index for a person who is 76 inches tall and weighs 192 pounds.
b) Similarly, without knowing the value of the constant "a," we cannot determine the weight of a man who is 77 inches tall and has a ponderal index of 11.56.
To compute the ponderal index or determine the weight, we need the specific value of the constant "a" in the given formula.
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