Answer:
f(0) = 4
Step-by-step explanation:
f(0) implies that we should find the corresponding f(x) value of when x = 0.
From the table given, when x = 0, f(x) = 4. This is (0, 4).
Thus:
f(0) = 4
what is 0.36 repeating in simplest form?
Identify the correct equation of the graph
Answer:
The correct function is
\(f(b) = {b}^{2} - 4\)
A bank wants to estimate the difference in the proportion of its "big" customers who have a second account with a different bank and the proportion of its "small" customers who also have an account with another bank. Of the 200 “big” customers who were randomly selected, 160 claimed to also bank with other banks. Of the 300 “small” customers who were randomly selected, 120 claimed to also bank with other banks.
Based on the 99% confidence interval (0.297, 0.503), is there convincing evidence of a difference in the proportion of “big” bank customers who bank with more than one bank as compared with the “small” customers who bank with more than one bank?
Because
contained in the interval, there is
to believe there
a difference in the proportion of “big” bank customers who bank with more than one bank as compared to the “small” customers who bank with more than one bank.
Yes, based on the 99% confidence interval (0.297, 0.503), there is convincing evidence of a difference in the proportion of "big" bank customers who bank with more than one bank compared to the "small" customers who bank with more than one bank.
The confidence interval (0.297, 0.503) represents the range of values within which the true difference in proportions between the two customer groups is likely to fall with 99% confidence. Since the interval does not include zero (0), we can conclude that there is a statistically significant difference between the proportions.
To further explain, the confidence interval was constructed using the sample proportions and the standard error. The sample proportion for the "big" customers who bank with other banks is 160/200 = 0.8, and for the "small" customers, it is 120/300 = 0.4. The standard error takes into account the sample sizes and proportions, and it measures the uncertainty in the estimation.
Since the confidence interval does not include zero, it indicates that the true difference in proportions is unlikely to be zero. In other words, there is strong evidence that the proportion of "big" bank customers who bank with more than one bank is higher than the proportion of "small" customers who do the same.
Therefore, based on the provided data and the confidence interval, we can conclude that there is convincing evidence of a difference in the proportion of "big" bank customers who bank with more than one bank compared to the "small" customers who bank with more than one bank.
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244-33456/3456*345+13.55-2=
The order of operations (PEMDAS) states that we should perform multiplication and division before addition and subtraction. Using this order, we get:
244 - (33456 / 3456) * 345 + 13.55 - 2
= 244 - 97.02 * 345 + 13.55 - 2
= 244 - 33494.1 + 13.55 - 2
= -33238.55
Therefore, 244-33456/3456*345+13.55-2 = -33238.55.
x–23=17 solving the following equation
Answer:
X=42
Step-by-step explanation: x-23=17 you would do the inverse of subtracting which would be addition which would be 23+17 which equals 42
Of the eggs produced by salmon,80% hatch, and of those, 25% survive to migrate to the ocean. How many eggs are needed to produce 100 salmon that migrate to the ocean?
Answer:
500 eggs are needed
Step-by-step explanation:
so 1/4 or the 80 percent make it to the ocean so 20 percent of total salmon make it to the ocean.
so total number of eggs x
1/5x=100
x=500
if my answer helps please mark as brainliest.
Answer:
Step-by-step explanation:
25% of (80% of eggs) = 0.25 × 0.80 × eggs = 100
Eggs = 100/(0.25 × 0.80) = 500
500 eggs are needed to produce 100 salmon.
Ms. Wall will roll two number cubes. What is
the probability that she will roll a sum of 9 ?
Express your answer as a fraction.
(I'll give brainlist if u get it right)
Answer: 9/1
Step-by-step explanation: Apologies for the mistake. Let's calculate the probability again.
To find the probability of rolling a sum of 9 on two number cubes, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.
For a sum of 9, the following combinations are favorable:
(3, 6), (4, 5), (5, 4), (6, 3)
So, there are 4 favorable outcomes.
The total number of possible outcomes is still 6 × 6 = 36.
The probability of rolling a sum of 9 is:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 4 / 36
Simplifying the fraction, we get:
Probability = 1 / 9
Therefore, the probability of rolling a sum of 9 is 1/9, not 11/18 as previously stated.
Economists predict that Americans will spend $1,180 on Summer Vacation in 2015, this is up 3.4% from 2014. What did Americans spend in 2014?
With the help of percentage increase information, we conclude that, Americans spent approximately $1,141.31 on summer vacation in 2014.
What is percenatge increase?
Percentage increase is a measure of how much a value has increased in comparison to the original value, expressed as a percentage.
To find what Americans spent in 2014, we need to use the percentage increase and the 2015 amount.
Let X be the amount spent in 2014.
We know that the increase from 2014 to 2015 is 3.4%, which can be expressed as:
3.4% = 0.034 (as a decimal)
We also know that the amount spent in 2015 is $1,180.
Using this information, we can set up an equation:
X + 0.034X = 1180
Simplifying the left side:
1.034X = 1180
Dividing both sides by 1.034:
X = 1141.31
So Americans spent approximately $1,141.31 on summer vacation in 2014.
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Show that the solution of the Neumann problem vều = 0 if r < R, un(R, ) = f(0) (where UN du/aN is the directional derivative in the direction of the outer normal) is u(r, 6) = Ao + r™(An cos nd + Bn sin në) B) n=1 with arbitrary Ao and 1 An focos no do, TORN-1 -TT 1 Bn = fe sin no do. TTnR7 -1 -TT
The solution of Neumann problem, ∇²u= 0 if r < R , Uₙ (R,θ) = f(θ) is u(r,θ) = a'₀+ rⁿ(a'ₙ cosnθ + b'ₙ sinnθ) with boundary conditions uᵣ (r,θ) = ∑n R⁽ⁿ⁻¹⁾(Aₙ cosnθ + Bₙ sinnθ) = f(θ) and
Aₙ=∫(f(θ)cosnθ /π nR⁽ⁿ⁻¹⁾)dθ, where θ∈[-π, π]
Bₙ=∫(f(θ)sinnθ /π nR⁽ⁿ⁻¹⁾)dθ, where θ∈[-π, π]
Given that
The solution of Numann problem
∇²u= 0 if r < R , Uₙ (R,θ) = f(θ)
Use polar co-ordinates (r,θ)
uᵣᵣ + 1/r uᵣ+ 1/uᵣ (uθθ) = 0 ,0 < r< R,
0 <θ <2π and ∂u/∂r(R,θ) = f(θ) is directional derivative
r²d²u/dr² + rdu/dr + d²u/dθ² = 0
Let , r = ε⁻ᵗ , u(r(t),θ)
uₜ = uᵣ(rₜ) = - e⁻ᵗ uᵣ
uₜₜ =( - e⁻ᵗ uᵣ )ₜ = ε⁻ᵗuᵣ + e⁻²ᵗ uᵣᵣ
= r uᵣ+ r²uᵣᵣ
Thus we have, uₜₜ + uθθ = 0
Let u(t,θ) = X(t)Y(θ)
Which gives X''(t)Y(θ) + X(t)Y"(θ) = 0
X"(t)/X(t) = - Y"(θ)/Y(θ) = λ
From Y"(θ) + λ Y(θ) = 0
We get, Yₙ(θ) = aₙ cosnθ + bₙ sinnθ
λ= n² , n =0, 1, ...
With these values of λn we solve,
X"(t) - n² X(t) = 0
If n = 0 , X₀(t) = c₀t + d₀
X₀(r) = -c₀log (r) + d₀
If n not equal to 0 then
Xₙ (t) = cₙeⁿᵗ + dₙ e⁻ⁿᵗ
Xₙ(r) = cₙ(r)⁻ⁿ + dₙ (r)ⁿ
We have u₀(r, θ) = X₀(r)Y₀(θ)
= a₀ ( - c₀(log r) + d₀)
uₙ(r,θ) = Xₙ(r) Yₙ(θ)
= (cₙ r⁻ⁿ+ dₙrⁿ)(aₙ cosnθ + bₙ sinnθ)
But u must be positive at t =0
So, cₙ = 0 ; n = 0,1,2....
u₀ (r,θ) = a₀ d₀
uₙ(r,θ) = dₙ rⁿ( aₙ connθ + bₙ sinnθ)
By superposition , we can write as
u(r,θ) = a'₀+ rⁿ(a'ₙ cosnθ + b'ₙ sinnθ)
Boundary conditions gives
uᵣ (r,θ)=∑n R⁽ⁿ⁻¹⁾(Aₙ cosnθ + Bₙ sinnθ) = f(θ)
the coefficients aₙ , bₙ for n ≥ 1 are determined are Fourier series for f(θ)
but a₀ is not determined from f(θ) therefore , it may take arbitrary value. By using Fourier series,
Aₙ= Integration of(f(θ)cosnθ dθ/π n R⁽ⁿ⁻¹⁾) where θ∈[-π, π]
Bₙ= Integration of (f(θ) sinnθ dθ/π nR⁽ⁿ⁻¹⁾) where θ∈[-π, π]
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Some traffic signs are in the shape of polygons. A stop sign is in the shape of which polygon?
A stop sign has 8 sides and 8 interior angles.
An 8 sided polygon is called an octagon.
Mark wants to be a chef someday and would like to start learning to grow his own
ingredients in a garden. His mom gives him 12 square feet of space in the back yard to plant
a garden. He marks off % of it to save for a tomato plant and has the rest to use for onions.
Each onion bulb needs square feet of room to grow. How many onion bulbs can he
plant?
The area of the space available for onions is:n12 square feet - 0.12x square feet. number of onion bulbs Mark can plant is: (12 - 0.12x) / y
What is percentage?
Percentage is a way of expressing a number or proportion as a fraction of 100. It is represented by the symbol "%".
Mark has marked off a certain percentage of the 12 square feet to save for a tomato plant, which means the remaining space will be used for onions.
Let's say Mark marks off x% of the space for the tomato plant. That means he will have (100-x)% of the space for onions.
The area of the space reserved for the tomato plant is:
12 square feet x (x/100) = 0.12x square feet
The area of the space available for onions is:
12 square feet - 0.12x square feet
Let's say each onion bulb needs y square feet of room to grow. Mark can plant as many onion bulbs as can fit in the remaining space, which is:
(12 square feet - 0.12x square feet) / y
So the number of onion bulbs Mark can plant is:
(12 - 0.12x) / y.
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Explain how you use a net to find the surface area of a
prism?
Answer:
Lay the net out with the dimensions then multiply for each shape and add all of the areas to get the total surface area of your prism.
Step-by-step explanation:
this is how you work it out with the net
Answer:
You must lay out the net, find the area of each shape and multiply, and then add each dimension.
HELP, ILL GIVE BRAINLIEST BUT HELP ASAP WITH THIS!!
Answer:
proportional
Step-by-step explanation:
4 time the sum of 8 and 1 is divided by six. Make expression and simplity.
Answer:
\(\frac{4(8-1)}{6}\)
6
Step-by-step explanation:
\(\frac{4(8 + 1) }{6}\)
\(\frac{4(9)}{6}\)
\(\frac{36}{6}\)
6
Answer:
The expression is:
4(8+1)/6
Simplify:
= 6
Step-by-step explanation:
The expression is:
4(8+1)/6
Simplify:
= 4(9) / 6
= 36/6
= 6
Which expression is equivalent to the following complex fraction?
CO (
이고
X X
2
X-
2x
글
2x-2
X
12x
x-1
44 minutes left please help !!!!!!
Answer:
\( \frac{x - 1}{2x} \)
Step-by-step explanation:
This is a correct answer.
The mean of 5 numbers is 4, 4 of the numbers are 3,5,4,4 what is the missing number
Answer:
6 I think have a great day
I need to find x and y
Using the same-side interior angles theorem,
\(8x+30+6x+24=180 \\ \\ 14x+54=180 \\ \\ 14x=126 \\ \\ \boxed{x=9}\)
Using vertical angles,
\(6(9)+24=10y+2 \\ \\ 78=10y+2 \\ \\ 10y=76 \\ \\ \boxed{y=7.6}\)
18 Answer:
Perform the indicated operation. Round the result to the nearest tenth
and then to the nearest hundredth. Separate your answers by a comma.
-49.256 + 17.197
19 Answer:
Perform the indicated operation. Round the result to the nearest tenth
and then to the nearest hundredth. Separate your answers by a comma.
14.357(-2.625)
20 Answer:
Solve the equation. Round the result to the nearest hundredth.
-15x + 73 = 26
21 Answer:
Solve the equation. Round the result to the nearest hundredth.
7y - 27 = 14
22 Answer:
Solve the equation. Round the result to the nearest hundredth.
1.5x + 7.4 = -1.8x - 6.9
23 Answer:
Solve the equation. Round the result to the nearest hundredth.
14.1 - 0.3x = 1.3x - 4.2
24 Answer:
Multiply the equation by a power of 10 to write an equivalent
equation with integer coefficients.
6.2x + 4.5 = 3.8x + 7.9
25 Answer:
Multiply the equation by a power of 10 to write an equivalent
equation with integer coefficients.
4.603y - 1.842 = -3.651y
a) -32.06 (To the nearest hundredth)
b) -37.7 (To the nearest tenth)
c) 3.1 (To the nearest tenth)
d) 5.86 (To the nearest hundredth)
f) -4.33 (To the nearest hundredth)
g) 11.44 (To the nearest hundredth)
h) 62x + 45 = 38x + 79
i) 46y - 18 = -37y
What is an equation?An equation is a mathematical statement that asserts the equality of two expressions. It consists of two expressions separated by an equal sign (=), and shows the relationship between the variables present in the equation. Equations are used to model real-world problems and find solutions to various mathematical problems.
They can be solved for a specific variable by using various mathematical methods and techniques.
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Lesson 1: What Is a Function?
A. Distinguish between relations and functions.
B. Calculate domain and range of functions algebraically.
C. Identify domain and range of functions graphically
When a principal amount, P, is invested at an annual interest rate, r, and compounded n times per
year, the amount accumulated in the account after t years can be found with the equation:
A = P(1 + r/n) ^nt
Javier invested $2,350 in a savings account for 5 years with a rate of 1.75% compounded every six
months. In this situation, what is n?
0.0175
5 6 2
Answer:
n =2
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
\(A(t) = P(1 + \frac{r}{n})^{nt}\)
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
In this question:
The money is compounded every 6 months.
n is the number of times that interest is compounded per year.
Each 6 months means 12/6 = twice a year. So n =2..
In an arithmetic sequence, the sum of the second and eighth terms is $5$, and the product of the fourth and fifth terms is also $5$. What is the $20$th term of this sequence?
Answer:
10
Step-by-step explanation:
Let $a_n$ be the $n$th term of this sequence. We know $a_2 + a_8 = 5$, and that forces $a_5 = \dfrac 5 2$, the average of these terms.
Then $a_4a_5 = 5$ gives us $a_4 = 2$.
The common difference is $\dfrac 1 2$, and in general, $a_n = \dfrac n 2$.
Therefore the $20$th term is $\dfrac{20}{2} = \boxed{10}$.
The 20th term of the arithmetic sequence will be equal to \(T_{20}=10\)
What is arthematic sequence?Arthematic sequence is the type of the number series in which the difference between the first and the second term is always constant in the whole series.
Let \($a_n$\) be the nth term of this sequence.
We know
\($a_2 + a_8 = 5$\), and that forces \($a_5 = \dfrac 5 2$\), the average of these terms.
Then \($a_4a_5 = 5$\) gives us \(a_4 = 2$.\)
The common difference is \(\dfrac 1 2$,\)and in general, \($a_n = \dfrac n 2$\).
Therefore the 20th term is
\(T_{20}=$\dfrac{20}{2} = \boxed{10}$.\)
Hence the 20th term of the arithmetic sequence will be equal to \(T_{20}=10\)
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Write an equation that gives the amount of snow that has fallen after x hours at this rate. (Use the form y=kx)
PLZ HELPPPP
Answer:
Y=2x
Step-by-step explanation:
The complete table is given as follows -
Time (in hours) Snow (in inches)
0 1
1 2
2 4
6.5 13
[x] [2x]
The equation that shows the amount of snow that has fallen after [x] hours can be written as y = 2x
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
Given is that snow Is falling steadily such that after 2 hours, 4 inches of snow has fallen.
In 2 hours → 4 inches of snow has fallen.
Then, in 1 hour → (4/2) → 2 inches of snow has fallen.
So, in 6.5 hours → 2 x 6.5 → 13 inches
Hence, in x hours → 2x inches
The complete table is shown below
Time (in hours) Snow (in inches)
0 1
1 2
2 4
6.5 13
x 2x
The equation that shows the amount of snow that has fallen after [x] hours can be written as -
y = 2x
Therefore, the complete table is given as follows -
Time (in hours) Snow (in inches)
0 1
1 2
2 4
6.5 13
[x] [2x]
The equation that shows the amount of snow that has fallen after [x] hours can be written as y = 2x
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[Refer to image for complete question]
Find the total surface area of this triangular prism.
10 cm
6 cm
4 cm
8 cm
Answer:
I need the labels (Height , Width, Length)
Step-by-step explanation:
Choose the equation for the graph below
Solve the following inequality:
Answer:
\(r \geqslant - 16\)
Step-by-step explanation:
\( \frac{ - 10 + r}{2} \geqslant - 13\)
multiply both sides by 2:
\( - 10 + r \geqslant - 26\)
add 10 on both sides:
\(r \geqslant - 16\)
Answer:
\(r \ge -16\)
Step-by-step explanation:
To solve any equation/inequality:
1. get the variable to show up exactly once
2. isolate it
\(\frac{-10+r}{2} \ge -13\)
Multiply both sides by 2 and simplify (note that we're multiplying by a positive, not a negative, so the direction of the inequality stays the same, whereas multiplying or dividing by a negative would have changed the direction of the inequality)
\(\frac{-10+r}{2} *2 \ge -13 *2\)
\(-10+r \ge -26\)
Add 10 to both sides, and simplify
\((-10+r)+10 \ge (-26)+10\)
\(r \ge -16\)
Plz, help me!!
You have just been hired as New York’s premier Real Estate Agent! In your company, you will make a 7% commission. The real estate market in New York is booming! As the realtor calculates your potential commission if you sell the property for list price.
If the listing price for Candy Cane Creek is $864, 550, how much commission would you receive?
Answer:
$60,518.50
Step-by-step explanation:
Well the commission is 7%
7% of $864,550 = $60,518.50
Answer:
$60,518.50
Step-by-step explanation:
$864,550 x 0.7 = $60,518.50
Find the value of x. Round the length to the nearest tenth
Answer:
x ≈ 777.9 m
Step-by-step explanation:
The lower right angle = 40° ( alternate angle )
Using the sine ratio in the right triangle
sin40° = \(\frac{opposite}{hypotenuse}\) = \(\frac{500}{x}\) ( multiply both sides by x )
x × sin40° = 500 ( divide both sides by sin40° )
x = \(\frac{500}{sin40}\) ≈ 777.9 m ( to the nearest tenth )
PLEASE HELP FOR EACH OF THE FIGURES, WRITE AN ABSOLUTE VALUE EQUATION
The solution set 0 and 8 are the true values of the absolute value equation
The absolute value equation that has the a solution set of 0 and 6 is |x - 3| = 3
How to determine the absolute value equation?From the figure, the solution sets of the absolute value equation are given as:
x = {0, 6}
Calculate the mean of the solution set
Mean = 0.5 * (0 + 6)
Mean = 3
Calculate the difference of the solution set divided by 2
Difference = (6 - 0)/2
Difference = 3
The absolute value equation is the represented as:
|x - Mean| = Difference
Substitute known values
|x - 3| = 3
Hence, the absolute value equation that has the a solution set of 0 and 6 is |x - 3| = 3
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Answer:
|x-3|=3
Step-by-step explanation:
simplify each equation 3(5x2+2x-4)-x7x2+2x-3)
Answer: -7x3 + 13x2 + 9x - 12
Answer:
3(5x2+2x-4)-x7x2+2x-3)
15 x 6 + 6x -12 - x7 + x2 + 2x -3
90 + 6x - 12 - x7 + x2 + 2x -3
(6x + 2x) (+90 - 12 - 3) (-x7 + x2)
8x + 75 - x5
An ice cream shop offers 27 different flavors of ice cream and 11 different toppings.How many different sundaes can you create using one of the ice cream flavors and one of the toppings
297 different sundaes can you create using one of the ice cream flavors and one of the toppings.
Define multiplication.We can rapidly determine the total number of things by multiplying. In order to do this, we will consider the number of groups with equal sizes and the number of items in each group.
The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers. When we need to merge groups of similar sizes, we employ it.
Given,
An ice cream shop offers 27 different flavors of ice cream and 11 different toppings.
Multiplying,
27 × 11
297
297 different sundaes can you create using one of the ice cream flavors and one of the toppings.
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