Answer:
A
Step-by-step explanation:
The graph below could be the graph of A) F(x) = 2*\((0.7)^x\) exponential function.
The graph of the function F(x) = 2 * \((0.7)^x\) is a decreasing exponential function. This is because the base of the exponent, 0.7, is between 0 and 1. As x increases, the value of \((0.7)^x\) decreases, so the value of F(x) decreases.
The graphs of the other functions are all increasing exponential functions. This is because the bases of the exponents, 2, 5, and 1.4, are all greater than 1. As x increases, the value of \(2^x\), \(5^x\), and \(1.4^x\) increases, so the value of the functions F(x) = 2 * \(2^x\), F(x) = 2 * \(5^x\), and F(x) = 2 * \(1.4^x\) increases.
Therefore, the graph of the function F(x) = 2 * \((0.7)^x\) is the only graph that is decreasing. So the answer is A.
Here is a table that summarizes the properties of the graphs of the four functions:
Function Base of the exponent Graph
F(x) = 2 * \((0.7)^x\) 0.7 (between 0 and 1) Decreasing
F(x) = \(2^x\) 2 (greater than 1) Increasing
F(x) = 2 * \(5^x\) 5 (greater than 1) Increasing
F(x) = 2 * \(1.4^x\) 1.4 (greater than 1) Increasing
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The table shows the total distance that Myra runs over different time periods.
A 2-column table with 5 rows titled Time and Distance Ran by Myra. The first column is labeled Time (minutes) with entries 0, 2, 4, 6, 8. The second column is labeled Distance (miles) with entries 0.0, 0.4, 0.8, 1.2, 1.6.
Distance is increasing with a speed of 0.2 Miles/Min
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Time in Minutes Distance in Miles
0 0.0
2 0.4
4 0.8
6 1.2
8 1.6
Here, Myra’s distance is increasing as time increase with a constant Speed.
Now, In every 2 mins distance traveled = 0.4 Miles
Hence, In every 1 min Distance traveled = 0.4/2 = 0.2 Miles/Min
Thus, Distance is increasing with a speed of 0.2 Miles/Min.
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\(3 + 3 + 3 = \)
\(5 + 5 + 5 + 5 = \)
\(5 + 5 + 3 = \)
\(3 + 3 + 3 + 5 = \)
\(5 + 5 + 5 = \)
\(5 + 5 + 3 - 3 = \)
\(5 + 5 + 3 + 3 + 3 = \)
NO FILES PLEASE
Answer:
\(3 + 3 + 3 =9 \)
\(5 + 5 + 5 + 5 =20 \)
\(5 + 5 + 3 =13 \)
\(3 + 3 + 3 + 5 = 14\)
\(5 + 5 + 5 =15 \)=15
\(5 + 5 + 3 - 3 =10 \)
\(5 + 5 + 3 + 3 + 3 =19 \)
Answer:
Step-by-step explanation:
3+3+3=9
5+5+5+5=20
3+3+3+5=14
5+5+5=15
5+5+3-3=10
5+5+3+3+3=19
whats the percent change of 10 gallons to 24 gallons
Answer: 140%
Step-by-step explanation:
Answer:
140%
Step-by-step explanation:
BRAINLIEST PLSSSS
You bought a magazine that cost $4.50 and five notebooks you spent a total of $28 how much was each note book?
Answer:
it is 4.7 I did the math and it's right
Answer:
$4.70
Step-by-step explanation:
28-4.50=23.50
23.50/5=4.70
Find the value of x, what makes r parallel to s
Answer:
a. x = 14 (see explanation)
b. the arrows along the lines
Step-by-step explanation:
The relationship of these two expressions is Same Side, which means their sum is 180.
plugging in
108 + 4x + 16 = 180 | Given
124 + 4x = 180 | Add the numbers
4x = 56 | Subtract 124 from both sides
x = 14 | Divide both sides by 4
HELP ME OUT GUYS!!!! Question is in the screenshot below.
Answer:
87.55 \(cm^2\)
Step-by-step explanation:
Determine whether each of these statements is true or false.a) 0 ∈ ∅ b) ∅∈{0}c) {0}⊂∅ d) ∅⊂{0}e) {0}∈{0} f ) {0}⊂{0}g) {∅} ⊆ {∅}
a) True, b) False, c) False, d) True, e) False, f) False, g) True
a) The statement is true. The symbol "∅" represents the empty set, which does not contain any elements. Since 0 is not an element of the empty set, the statement "0 ∈ ∅" is false.
b) The statement is false. The symbol "{0}" represents a set containing the element 0. The empty set, represented by "∅", does not contain any elements. Therefore, the empty set is not an element of the set {0}.
c) The statement is false. The symbol "{0}" represents a set containing the element 0. However, the empty set, represented by "∅", does not contain any elements. Therefore, the set {0} is not a subset of the empty set.
d) The statement is true. The empty set, represented by "∅", does not contain any elements. Every set is a subset of the empty set, including the set {0}.
e) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not an element of itself. Therefore, the statement "{0}∈{0}" is false.
f) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not a proper subset of itself. Therefore, the statement "{0}⊂{0}" is false.
g) The statement is true. The symbol "{∅}" represents a set containing the empty set. In this case, {∅} is a subset of itself because it contains the element ∅. Therefore, the statement "{∅} ⊆ {∅}" is true.
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3. Using the number line below, list the following numbers in increasing order:
1.1, -1.9, .4, -.6
Find the square root of "-2.5"
Answer:
1.58113883 i
Step-by-step explanation:
√-2.5 is error
1.58113883 i
i the square root of negative one.
Any number times itself is a positive number (or zero), so you can't ever get to a negative number by squaring. Since square roots undo squaring, negative numbers can't have square roots.
Answer:
\(1.58\ i\)
Step-by-step explanation:
Step 1: Determine the square root of -2.5
The \(\sqrt{-1}\) is equal to i so we can say that \(\sqrt{(-1)^2}\) is equal to \(\sqrt{i^2}\) which is then equal to \(i\). This means that we have \(i\sqrt{2.5}\).
We can then take the square root of 2.5 which is rounded to \(1.58\ i\)
Answer: \(1.58\ i\)
what is 6920 divided by 4
ANSWER
ITS ANSWER IS 1730
Answer:
1730
Step-by-step explanation:
Check out the image below!
Let Z be a standard normal random variable: i.e., Z ~ N(0,1). (1) Find the pdf of U = Z2 from its distribution. (2) Given that f(1/2) = VT Show that U follows a gamma distribution with parameter a = 1 = 1/2. (3) Show that I (1/2) = V1. Note that I (1) = Soe ex-1/2dx. Hint: Make the change of variables y = V2x and then relate the resulting expression to the normal distribution.
1)The pdf of U is f(u) = (1/(2√u)) exp(-u/2) for u > 0 and f(u) = 0 otherwise.
2)U follows a gamma-distribution with parameter a = 3/2 or a = 1/2.
3)x = (y²/2) and dx = y dy using exponential distribution
We can rewrite the integral as:
I(1/2) = ∫₀^∞ y exp(-y²) dy
= 1/2 ∫₀^∞ exp(-u/2) du
This is the same as the integral for f(u) when u = 1/2.
Therefore, we have:
I(1/2) = V1
(1) For U = Z², we can use the method of transformations.
Let g(z) be the transformation function such that
U = g(Z)
= Z².
Then, the inverse function of g is given by h(u) = ±√u.
Thus, we can apply the transformation theorem as follows:
f(u) = |h'(u)| g(h(u)) f(u)
= |1/(2√u)| exp(-u/2) for u > 0 f(u) = 0 otherwise
Therefore, the pdf of U is given by:
f(u) = (1/(2√u)) exp(-u/2) for u > 0 and f(u) = 0 otherwise.
(2) We are given that f(1/2) = VT, where V is a constant.
We can substitute u = 1/2 in the pdf of U and equate it to VT.
Then, we get:VT = (1/(2√(1/2))) exp(-1/4)VT
= √2 exp(-1/4)
This gives us the value of V.
Now, we can use the pdf of the gamma distribution to find the parameter a such that the gamma distribution matches the pdf of U.
The pdf of the gamma distribution is given by:
f(u) = (u^(a-1) exp(-u)/Γ(a)) for u > 0 where Γ(a) is the gamma function.
We can use the following relation between the gamma and the factorial function to simplify the expression for the gamma function:
Γ(a) = (a-1)!
Thus, we can rewrite the pdf of the gamma distribution as:
f(u) = (u^(a-1) exp(-u)/(a-1)!) for u > 0
We can now equate the pdf of U to the pdf of the gamma distribution and solve for a.
Then, we get:
(1/(2√u)) exp(-u/2) = (u^(a-1) exp(-u)/(a-1)!) for u > 0 a = 3/2
Therefore, U follows a gamma distribution with parameter
a = 3/2 or equivalently,
a = 1/2.
(3) We need to show that I(1/2) = V1.
Here, I(1) = ∫₀^∞ exp(-x) dx is the integral of the exponential distribution with rate parameter 1 and V is a constant.
We can use the change of variables y = √(2x) to simplify the expression for I(1/2) as follows:
I(1/2) = ∫₀^∞ exp(-√(2x)) dx
Now, we can substitute y²/2 = x to obtain:
x = (y²/2) and
dx = y dy
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Identify the y intercept of this line b
Answer: b= (0,4)
Step-by-step explanation:
The 'b' value in a line is the y-int. of a linear equation. That means you need to determine where the linear equation intersects with the y-axis. In this scenario it intersects at the point (0,4)
suppose that a flaw in a certain computer chip installed in computers was discovered that could result in a wrong answer when performing a division. the manufacturer initially claimed that the chance of any particular division being incorrect was only 1 in 5 billion, so that it would take thousands of years before a typical user encountered a mistake. however, statisticians are not typical users; some modern statistical techniques are so computationally intensive than a billion divisions over a short time period is not outside the realm of possibility. assuming that the 1 in 5 billion figure is correct and that results of different divisions are independent of one another, what is the probability that at least one error occurs in one billion divisions with this chip? (round your answer to four decimal places.)
The probability of at least one error occurring in one billion divisions with this chip is approximately 0.1841, or 18.41%.
The probability of at least one error occurring in one billion divisions with this chip can be calculated using the binomial distribution. Let p be the probability of an error occurring in one division, which is 1/5 billion, and q be the probability of no error occurring in one division, which is 1 - p. Then, the probability of at least one error occurring in one billion divisions can be calculated as 1 - (q)^1,000,000,000, where the exponent is the number of trials.
Plugging in the values, we get:
p = 1/5 billion
q = 1 - p = 4,999,999,999/5 billion
n = 1 billion
P(at least one error) = 1 - (4,999,999,999/5 billion)^1,000,000,000 = 0.1841
Therefore, the probability of at least one error occurring in one billion divisions with this chip is approximately 0.1841, or 18.41%.
The binomial distribution is used to model the number of successes in a fixed number of independent trials with a constant probability of success. In this case, the number of successes is the number of errors, and the probability of success is the probability of an error occurring in one division. We calculate the probability of at least one error occurring by subtracting the probability of no errors from 1. We use the exponentiation rule of exponents to calculate the probability of no errors occurring in one billion divisions, which is the probability of no errors occurring in one division raised to the power of the number of divisions. Finally, we use the formula to get the probability of at least one error occurring in one billion divisions with this chip.
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Write 0,000 000 000 098 in scientific notation.
Answer:
9.8 * 10^-11
Step-by-step explanation:
The exponent will be negative as the number is less than 1.
After the decimal point there are 11 digits up to and including the 9.
Select all of the fractions that are equivalent to -2/3
o 2/-3
o -3/-2
o -2/-3
o - 2/3
o -3/2
o -2/2
Please helppp
Answer:
Step-by-step explanation:
⇒o 2/-3 Doesn't matter where the minus is as long as there an odd numbere of them.
o -3/-2
o -2/-3
⇒o - 2/3 This is given. Is it really listed.
o -3/2
o -2/2
There really are only 2 of them. 3/2 in any form is not equal to 2/3.
-2/2 = - 1 not -2/3
-2/-3 There are an even number of - signs. The answer is 2/3
What is the slope of y=-4x-3y?
Answer:
m= -1
Use: y = mx + b
5x^(-2)-17x^(-1)+6
for the love of god help please
Answer:
Pfffttttt- Amateurs, it is quite simple really. Take a nice long look. In the picture is he answer. And I was just joking around, even I had to use a calculator for the answer.
Step-by-step explanation:
Put the x's together, the negatives and the positives.
Find the image of the set S under the given transformation.
S = {(u, v) |o≤u≤3,0≤v≤2}; x = 2u + 3v, y = u-v
Under the given transformation, the image of the set S = {(u, v) | 0 ≤ u ≤ 3, 0 ≤ v ≤ 2} is the set {(x, y) | 0 ≤ x ≤ 12, -2 ≤ y ≤ 3}.
To find the image of the set S under the given transformation, we substitute the bounds of S into the equations for x and y and determine the resulting range of values.
The set S is defined as {(u, v) | 0 ≤ u ≤ 3, 0 ≤ v ≤ 2}. We will find the image of each boundary point and then determine the range of values for the transformed set.
For u = 0 and v = 0:
x = 2(0) + 3(0) = 0
y = 0 - 0 = 0
The point (0, 0) is transformed to (0, 0).
For u = 3 and v = 0:
x = 2(3) + 3(0) = 6
y = 3 - 0 = 3
The point (3, 0) is transformed to (6, 3).
For u = 0 and v = 2:
x = 2(0) + 3(2) = 6
y = 0 - 2 = -2
The point (0, 2) is transformed to (6, -2).
For u = 3 and v = 2:
x = 2(3) + 3(2) = 12
y = 3 - 2 = 1
The point (3, 2) is transformed to (12, 1).
Now, let's consider the range of transformed points for the x and y coordinates.
For the x-coordinate, we observe that the minimum value is 0 (from point 1) and the maximum value is 12 (from point 4). Therefore, the range of x is [0, 12].
For the y-coordinate, we observe that the minimum value is -2 (from point 3) and the maximum value is 3 (from point 2). Therefore, the range of y is [-2, 3].
Combining the ranges of x and y, we have the image of set S as:
{(x, y) | 0 ≤ x ≤ 12, -2 ≤ y ≤ 3}
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When solving an equation, the goal is to ____________________ the variable.
The answer for the missing piece is to 'find' the variable.
An assessment rate is 50%. the property tax rate is $34.89 per
$1000. what is the effective tax rate?
What is the effective tax rate if the assessment rate is 50% and the property tax rate is $34.89 per $1000?
The effective tax rate can be calculated by multiplying the assessment rate with the property tax rate. In this case, the assessment rate is 50% or 0.5, and the property tax rate is $34.89 per $1000. To calculate the effective tax rate, we need to multiply the assessment rate by the property tax rate.
The effective tax rate is calculated as follows:
Effective tax rate = Assessment rate * Property tax rate
In this case, the assessment rate is 50% (or 0.5) and the property tax rate is $34.89 per $1000.
So, the effective tax rate would be:
Effective tax rate = 0.5 * $34.89 = $17.445 per $1000.
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1.
A. SSS
B.T SAS
C. ASA
D. AAS
E. HL
F.. Not
Answer:
ASA
Step-by-step explanation:
The cost of renting a moving van is $39.99 plus an additional $0.19 for each mile driven. which expression represents the cost of renting the truck for m miles? $39.99m + $0.19 $39.99m + $0.19m $39.99 + $0.19 $39.99 + $0.19m
The required equation for the cost of renting a moving van is
y = $39.99 + $0.19 m
According to the question we have been given that
Rental fee = $39.99
Additional charge = $0.19
Let the y represent the cost of renting a moving van
and m represent the number miles driven by the van.
The expression can be formed as
y = (fixed charge) + m*(additional charge)
y = $39.99 + $0.19 m
hence the required equation for the cost of renting a moving van is
y = $39.99 + $0.19 m
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square root of 8 savvas realize
Answer:
square root of 8 is approximately 2.828
What is a nonlinear graph called?
Any function whose graph is NOT a line is said to be nonlinear. It has the equation f(x) = ax + b. With the exception of the form f(x) = ax + b, its equation can take any form. Any two points on the curve have the same slope.
To ascertain whether a table of values is a linear function, follow these steps:
Find the variations between each pair of x numbers that follow.Find the variations between each pair of y values that follow.Discover the matching ratios between y and x differential amounts.Only the function is linear if all ratios are NOT equal.Learn more about graph Visit: brainly.com/question/19040584
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Suppose that the weekly sales volume y (in thousands of units sold) depends on the price per unit (in dollars) of the product according to the following formula. y = 32/(3p + 1)^−2/5, p > 0
(a) What is the rate of change in sales volume when the price is $22? (Round your answer to three decimal places.) (b) Interpret your answer to part (a). (Round your answer to the nearest whole number.) If the price increases $1, the sales volume will decrease by ___ units.
When the price is $22, the rate of change in sales volume is roughly -0.014 (thousands of units per dollar). This suggests that the sales volume is likely to decline by 0 units for every $1 rise in price, demonstrating a negligible impact of price on volume.
To find the rate of change in sales volume when the price is $22, we need to calculate the derivative of the sales volume function with respect to the price and evaluate it at the given price.
The sales volume function is given by:
\(y = \frac{32}{{(3p + 1)}^{-\frac{2}{5}}}\)
To find the derivative, we can use the chain rule. Let's denote the derivative as \(\frac{dy}{dp}\):
\(\frac{dy}{dp} = \left(-\frac{2}{5}\right) \cdot 32 \cdot (3p + 1)^{-\frac{2}{5} - 1} \cdot (3)\)
Simplifying the expression, we have:
\(\frac{{dy}}{{dp}} = \frac{{-64}}{{5 \cdot (3p + 1)^{\frac{{7}}{{5}}}}}\)
Now, we can evaluate the derivative at the price p = $22:
\(\frac{{dy}}{{dp}} = \frac{{-64}}{{5 \cdot (3 \cdot 22 + 1)^{\frac{{7}}{{5}}}}}\)
\(= \frac{{-64}}{{5 \cdot (66 + 1)^{\frac{{7}}{{5}}}}}\)
\(= \frac{{-64}}{{5 \cdot (67)^{\frac{{7}}{{5}}}}}\)
Calculating this expression to three decimal places, we get:
\(\frac{{dy}}{{dp}}\) ≈ -0.014
(a) The rate of change in sales volume when the price is $22 is approximately -0.014 (thousands of units per dollar).
(b) Interpretation: If the price increases by $1, the sales volume will decrease by approximately 0.014 (thousands of units). Rounded to the nearest whole number, we can say that the sales volume will decrease by 0 units. This suggests that a small increase in price has negligible impact on the sales volume.
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Area of a Sector: Calculate the area of the sector. Round the answer to two decimal places. Use 3.14 for TT. 3 m 150°
The area of the sector is 11.75 metres squared.
How to find the area of a sector?The area of the sector can be calculated as follows:
area of a sector = ∅ / 360 × πr²
where
r = radius∅ = central angleTherefore,
r = 3 metres
∅= 150 degrees
Therefore,
area of the sector = 150 / 360 × 3.14 × 3²
area of the sector = 150 / 360 × 3.14 × 9
area of the sector = 4239 / 360
area of the sector = 11.775 metres squared
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What are the domain and range of the function f(x)=-3(x-5)squared +4?
Answer:
Domain= neg infinite, pos infinite
range= neg infinite, 4
What are the coordinates of an ordered pair that is located two units to the right of point (2, 5) and on the same HORIZONTAL line? Question 2 options: (2, 7) (4, 5) (-2, 5) (2, 3)
The required point is located two units to the right of points (2, 5), and on the same horizontal line is (4, 5).
What is coordinate?Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.
Here,
If we want to locate a point that is two units to the right of point (2, 5) on the same horizontal line, then the y-coordinate of the new point should be the same as the y-coordinate of (2, 5), which is 5.
To find the x-coordinate of the new point, we can add 2 units to the x-coordinate of (2, 5), which gives:
2 + 2 = 4
Therefore, the coordinates of the new point are (4, 5).
So the answer is (4, 5).
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Which formula can we use to find the circumference of a circle?
Answer:
\(c = \pi d\)
circumference = pi * diameter
Sam lives 8 miles from work and Mike lives 30 miles from work. How much farther is Mike's trip to work than Sam's?