a = 13. b^0 = 1, y=a(1), 13 = a 325 = 13(b)^2 b^2 = 325/13 = 25
b = sqr25 = 5 y=13(5)^x is the exponential equation going through the two given points
What is Exponential function?An exponential function is a Mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.The graphs of all exponential functions have these characteristics. They all contain the point (0, 1), because a0 = 1. The x-axis is always an asymptote. They are decreasing if 0 < a < 1, and increasing if 1 < a. If your function can be written in the form y = a b x , where and are constants, a ≠ 0 , b > 0 , and b ≠ 1 , then it must be exponential. In quadratic equations, your functions were always to the 2nd power. In exponential functions, the exponent is a variableTo learn more about Exponential function refers to:
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HELP!!!! Due to inflation, there were two price increases. After the second increase, the price of an item was twice its original price. By what percent did prices increase the first time if prices increased by 25% the second time?
The increase was 250% over the original price.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
let 'x' represent the original price, then 'x+0.25x' represents the first increase of 25%
six times greater, converted to a percentage:
(x+0.25x)×2×100 a second increase of six-fold
1.25x×2×100
250
The increase was 250% over the original price.
Hence, the increase was 250% over the original price.
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Convert 12 m/s in
to km/h
By using the conversion factor: 1 km/h = 0.277778 m/s, we get 12 meter per second is equal to 43.2 km/h.
What is velocity?Velocity is a vector quantity that represents the rate of change of an object's position. It is defined as the displacement of an object divided by the time it takes for that displacement to occur. In other words, velocity tells you how fast an object is moving in a certain direction.
What is the unit and formula for velocity?The standard unit for velocity is meters per second (m/s) or kilometers per hour (km/h) in the International System of Units (SI). In imperial system of units, it is expressed in feet per second (ft/s) or miles per hour (mph).
The formula for velocity is:
velocity = displacement / time
To convert 12 m/s to km/h, you can multiply 12 by the conversion factor:
12 m/s * (1 km/h / 0.277778 m/s) = 43.2 km/h
So 12 meters per second is equal to 43.2 kilometers per hour.
Another way to do the conversion is by applying the formula :
Speed (km/h) = Speed (m/s) x 3.6
12 x 3.6 = 43.2
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Explain why the initial value of any function of the form
f(x)= a(b) is equal to a.
Hello there!
Initial value is the y-intercept so x = 0. Then b⁰ = 1 because x⁰ = 1 if x ≠ 0. So the value of function is a * 1 which is equal to a.
Step-by-step explanation: The initial value of any function of the form f(x)= a(b) is equal to a because this type of function is a linear equation, which means that the rate of change (slope) is constant. This means that the output is always equal to the input multiplied by a constant, which is the coefficient a. Therefore, when the input (x) is equal to 0, the output (f(x)) is equal to 0 multiplied by a, which is equal to a.
Tori bought one share of Macy's stock on Nov 1, 2016 for $33. 38. Four years later, she sold it and the closing price for that day was $5. 9. A) How much money did she gain/lose with this stock? b) What is her rate of return?
(a) He made $382.05. This was the amount of money he made from the stock.
(b) The investment yielded a 96.40% return.
How can I find out how much I made and what my investment returned?
The amount of money made is calculated by dividing the price at which the stock was sold by the price at which it was purchased. If this figure is negative, money was lost; if positive, money was made.
Tori lost money when she purchased one share of Macy's stock on November 1, 2016, for $33.38 and then sold it for $5.09 on that same day's closing price.
= $5.09 - $33.38
= -$28.29
Her rate of return will be:
= -28.29/33.38 × 100
= -84.75%
The amount he made with the stock is indicated below taking into account the values of the problem:
778.38 - 396.33 = $382.05.
The return on the investment is given by the amount earned/lost divided by the initial value, and multiplied by 100% to obtain the value as a percentage, hence it is of:
382.05/396.33 x 100% = 96.40%.
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Tanner has $4.60 in nickels and quarters. If he has 14 more nickels than quarters, how many of each coin does he have?
quarters
nickels
The number of coins of nickels and quarters will be 27 and 13, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Tanner has $4.60 in nickels and quarters. If he has 14 more nickels than quarters.
Let 'x' be the number of nickels and 'y' be the number of quarters. Then the equations are given as,
x = y + 14 ....1
0.05x + 0.25y = 4.60 ....2
From equations 1 and 2, then we have
0.05(y + 14) + 0.25y = 1
0.05y + 0.70 + 0.25y = 4.60
0.30y = 3.9
y = 13
Then the value of 'x' is given as,
x = 13 + 14
x = 27
The number of coins of nickels and quarters will be 27 and 13, respectively.
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How do i find the solution(s) ?
Answer:
-8 , (0, -8)
Step-by-step explanation:
Y-interceptsThe y-intercept of a line is where a line intersects the y-axis, or the vertical axis.
SolutionReferring to the picture given, the y-intercept is -8 with the coordinates (0, -8)
Answer:
The vertex is (1,-9)
The y intercept is (0, -8)
Step-by-step explanation:
This is a parabola. The vertex is the low point since the parabola is opening upwards.
The vertex is (1,-9)
The y intercept is where it crosses the y axis. The y intercept is (0, -8)
How do I do this function stuff I’m been kinda confused
Explanation:
When solving a function, you plug in the given [tex]x[/tex]-value (what's inside the parentheses next to the [tex]g[/tex] or [tex]f[/tex]) into the corresponding equation (what [tex]f(x)[/tex] and [tex]g(x)[/tex] are set equal to).
Before starting the worksheet, take a simpler example:
Given the function [tex]h(x) = x + 2[/tex],
the following work solves for [tex]h(3)[/tex].
[tex]h(3) = 3 + 2[/tex]
[tex]h(3) = 5[/tex]
Essentially, to solve for the value of a function for a given [tex]x[/tex]-value, simply plug in that value in for [tex]x[/tex] and simplify the resulting expression.
Onto problem 14 from the given worksheet:
We are given [tex]f(x) = 3x + 2[/tex] and are asked to solve for [tex]f(4)[/tex].
Hence, all we have to do is plug [tex]4[/tex] in for [tex]x[/tex]:
[tex]f(4) = 3(4) + 2[/tex]
[tex]f(4) = 12 + 2[/tex]
[tex]f(4) = 14[/tex]
You can apply this concept to the rest of the problems.
What is __ main __ PY in Python?
The __main__ is a constructor used in python which can be used to check the name of the top-level environment of the program.
It is contained inside the __ main __ PY file package.
Example, __name__ == '__main__' expression.
Python is a programming language which is high level in nature and is mainly used in the field of data science and artificial intelligence . Python is dynamically-typed and garbage-collected. It has a large community of developer and is an upcoming language.
It is easy to learn and evolving language and has a lot of packages and modules which makes it easy to work on it.
It is an interpreted language and a python file is saved using the extension .py .
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Augustus has made a pile of 2,000 candies, and he is giving away 25 candies a day from this pile. When will he have 350 candies left in this pile
Find the area under the graph
Therefore , the solution of the given problem of function comes out to be 4 log2 + 3/4 is the are required.
What is meant by the word function?A science called mathematics studies numbers, its variations, arithmetic and the local tissue, shapes, and both their existing and projected places. The relationship between a group of inputs, which each have a corresponding output, is described by a function. A function is a collection of inputs that together produce a single, recognizable output with each input. A city, municipality, or scope—often referred to as a realm—is assigned to each function. Usually, the letter f is used to represent functions (x). The input has an x in it.
Here,
Given :
=> f(x) = x.2ˣ
=>A = [tex]\int\limits^2_{-1} x.2^{x}[/tex]dx
=> A = [tex]2^{x} \int\limits^2_{-1} x. + x\int\limits^2_{-1} 2^{x}[/tex]
=> [ xlog2 + x²/2 + x²log2 ]₋₁²
=> log2 + 3/4 + 3log2
=> 4 log2 + 3/4
Therefore , the solution of the given problem of function comes out to be 4 log2 + 3/4 is the are required.
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Graph the solution to this inequality on the number line.
1/3x-3<-1 5/6
Help please asap
Turn left and continue past the finish line after starting at 3.5 on the number line. Simply plot x=3 1/2 on a number line.
what is inequality ?A relationship between two expressions or values that is not equal is known as an inequality in mathematics. Inequality follows imbalance, therefore. In mathematics, an inequality makes a connection between two values that are not equal. Egality and inequality are different. Different inequalities are employed to contrast values of all sizes. By changing the two sides until only the variables are left, one can solve many straightforward inequalities. But a variety of factors support inequality: Negative values are split or added on either side. Switch between the left and right.
given
the inequality for x 1/3 x - 3 -1 5/6 must first be resolved.
2 plus 3 on both sides
Simply multiply both sides of 1/3x by 3x31/2,
and then graph x31/2 on a number line.
Turn left and continue past the finish line after starting at 3.5 on the number line. Simply plot x=3 1/2 on a number line.
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Elizabeth has 214 gallons of milk in her refrigerator, and she drinks 23 of the quantity. How much milk does Elizabeth drink?
Answer:
9 days
Step-by-step explanation:
We know
Elizabeth has 214 gallons of milk; she drinks 23 of the quantity each day.
We take
214 / 23 = 9 days
So, she can drink in 9 days
7.9 , 8.37 , 7.293 , 7.785 , 7.476 greatest to least..pls help!!
Answer: 7.785,7.476,7.293,8.37.7.9
Step-by-step explanation:
is -0.0022 is smaller than -0.022
Answer: No, -0.0022 is not less that -0.022
Step-by-step explanation:
1. We know that the bigger the negative number the lesser it is ( 0.022 is a bigger number than 0.0022) but since it's a negative number it's less in value.
What does 4 more than mean?
Answer:
+4
Step-by-step explanation:
if x is your number, then x+4 is four more than
Answer:
Answer Below
Step-by-step explanation:
The phrase "4 more than" means 4 has been added onto a number. Eg:"Sue has 4 more sweets than Ann, means that however many sweets Ann has, Sue's number is bigger by 4.
What’s the slope of the line going though the points (12,0) and (12,9)
Answer:
infinity/undefined (both are acceptable)
Undefined is actually the best answer in college but your answer key might put it as infinity.
Step-by-step explanation:
Observe that the x coordinates of the two points are exactly the same at 12.
This reduces the possibility of the line being a horizontal or a vertical line.
Imagine, if x coordinates is always the same, it means that you are only varying y and that happens when you move up and down the graph.
Hence, the line is a straight vertical line. (Line equation: x = 12)
Gradient/Slope of a vertical line = infinity/undefined.
The slope of the given line is Undefined
The slope of the line when two points in the line is given is given by
m=(y₂-y₁)/(x₂-x₁)
The points are (12,0) and (12,9)
m=(9-0)/(12-12)
= 9/0
=Undefined
The slope of the line is Undefined
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Please help asap people kept giving me wrong answers. Due tonight in a couple hours +25pts
ES = ___ units
Round your answer to the nearest tenth.
The value of ES will be;
⇒ ES = 10.63 units
What is Line segment?Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.
Given that;
The coordinate of E = (- 3, - 4)
The coordinate of S = (4, 4)
Now,
Since, The coordinate of E = (- 3, - 4)
The coordinate of S = (4, 4)
Hence, The value of ES is find as;
⇒ ES = √ (4 - (-3))² + (4 - (-4))²
= √ 7² + 8²
= √ 49 + 64
= √ 113
= 10.63
Thus, The value of ES = 10.63 units
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Find the missing term in the arithmetic sequence −14, _, _, 46
a map drawn move to the scale 2 cm : 100 mi. on the map b is 3.5 centimeters from town a and town c is 2 centimeters past town b how many miles apart town a and town b
The distance between town a and b is 175 mi.
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.
Given that, a map drawn move to the scale 2 cm : 100 mi. on the map town b is 3.5 centimeters from town a and town c is 2 centimeters past town b
Since, 2 cm = 100 mi
1 cm = 50 mi
Therefore, 3.5 cm = 50×3.5 = 175 mi
Hence, the distance between town a and b is 175 mi.
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Please help me I am struggling with this
Step-by-step explanation:
(1). x-intercept: Put y = 0 in the equation y = 2x - 6 and solve for x. The x-intercept is 3.
y-intercept: Put x = 0 in the equation y = 2x - 6 and solve for y. The y-intercept is -6.
(2). x-intercept: Put y = 0 in the equation y = x - 7 and solve for x. The x-intercept is 7.
y-intercept: Put x = 0 in the equation y = x - 7 and solve for y. The y-intercept is -7
(3). x-intercept: Put y = 0 in the equation y = (3/2)x - 9 and solve for x. The x-intercept is -6.
y-intercept: Put x = 0 in the equation y = (3/2)x -9 and solve for y. The y-intercept is -9.
(4). x-intercept: Put y = 0 in the equation y = (-1/4)x + 1 and solve for x. The x-intercept is -4.
y-intercept: Put x = 0 in the equation y = (-1/4)x + 1 and solve for y. The y-intercept is 1.
(5). x-intercept: Put y = 0 in the equation -x + y = -5 and solve for x. The x-intercept is 5.
y-intercept: Put x = 0 in the equation -x + y = -5 and solve for y. The y-intercept is -5.
(6). x-intercept: Put y = 0 in the equation x + 2y = -14 and solve for x. The x-intercept is -14.
y-intercept: Put x = 0 in the equation x + 2y = -14 and solve for y. The y-intercept is -7.
(7). x-intercept: Put y = 0 in the equation 3x - y = -3 and solve for x. The x-intercept is -1.
y-intercept: Put x = 0 in the equation 3x - y = -3 and solve for y. The y-intercept is 3.
(8). x-intercept: Put y = 0 in the equation 5x + 3y = 15 and solve for x. The x-intercept is 3.
y-intercept: Put x = 0 in the equation 5x + 3y = 15 and solve for y. The y-intercept is 5.
480 over 840 turning it into the lowest term
Answer:
The fraction 480/840 can be reduced to its lowest terms by dividing the numerator and denominator of the fraction by their greatest (highest) common factor (divisor), gcf (hcf, gcd). This results in a reduced fraction of 4/7.
Step-by-step explanation:
A group consisting of 14 aggressive zombies quadruples in size every hour. Which equation matches the number of zombies after 6 hours?
The exponential equation that matches the number of zombies after 6 hours is the possible option;
Z = 14 × 4⁶
What is an exponential equation?An exponential equation is one in which the argument is an index or power of a constant.
The initial number in the group of zombies = 14
The amount by which the group increases every hour = The group quadruples every hour
The required equation; The equation that matches the number of zombies after 6 hours
The information in the question indicates that the sequence is a exponential, which can be presented using the following equation;
Z = a·rⁿ
Where;
Z = The number of zombies after n hours
a = The first term = The initial number of zombies in the group = 14
r = The common ratio = The amount that multiplies members of the group every hour = 4
n = The number of hours after which the number in the group is evaluated
Therefore, after 6 hours, n = 6, and we get;
a₆ = 14 × 4⁶ = 14 × 4⁵ = 14336
The equation from the possible options, obtained from a similar question posted online, that matches the number of zombies after 6 hours is therefore;
Z = 14 × 4⁶
The possible options are;
Z = 4·(14)⁶
Z = 4·(1 + 14)⁶
Z = 14·(1 + 4)⁶
Z = 14·(4)⁶
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Please help me with this question:
What is 2x-2?
Answer:
as a factor 2(x-1) this should help or be the correcr answer
I) if y varies directly as x and inversely as the square root of z, and y = 1/6 when x = 20 and z = 6, determine y when x = 14 and z = 5
Answer: Since y varies directly as x and inversely as the square root of z, we can write the following equation:
y = kx/(sqrt(z)), where k is a constant.
We can find the value of k by substituting the known values into the equation. We get:
1/6 = k*20/sqrt(6)
k = 1/240
Substituting this value of k into the original equation, we get:
y = (1/240)x/(sqrt(z))
Substituting the values x = 14 and z = 5 into this equation, we get:
y = (1/240)(14)/(sqrt(5)) = 7/120 sqrt(5) ≈ 0.22
Step-by-step explanation:
How do you solve longest side?
-35PTS- what theorem can be used to prove these triangles are congruent
Answer:
Neither----------------------------
We see two sides and one angle marked as congruent on both triangles.
The congruent angle is not included.
It means we can neither state it is ASA nor SAA as both of these require two congruent angles.
What is the relation between direction cosines of a vector?
The direction cosines of a vector are the cosines of the angles between the vector and the three mutually perpendicular axes of a coordinate system.
The direction cosines of a vector [tex]$\mathbf{a}$[/tex] are denoted by l, m and n. Mathematically, the relation between these direction cosines is given by:
[tex]$$\mathbf{a}=l\mathbf{\hat{i}}+m\mathbf{\hat{j}}+n\mathbf{\hat{k}}$$[/tex]
where i,j and k are unit vectors along the three axes of the coordinate system.
To calculate the direction cosines of a given vector [tex]$\mathbf{a}$[/tex] with components [tex]$a_x$, $a_y$ and $a_z$[/tex], we can use the following formula:
[tex]$$l = \frac{a_x}{\sqrt{a_x^2+a_y^2+a_z^2}}$$[/tex]
[tex]$$m = \frac{a_y}{\sqrt{a_x^2+a_y^2+a_z^2}}$$ \\ $$n = \frac{a_z}{\sqrt{a_x^2+a_y^2+a_z^2}}$$[/tex]
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the product of 12 and the number n
Answer:
12n is the answer because 12 is and n if we multiply both of them it will be 12n.
Answer & Step-by-step explanation:
1. 3n= 12 divided 3 on both sides
n= 4
2. 6n=12 divide 6 on both sides
n= 2
3. 12n=12 divide 12 on both sides
n= 1
4. 5n = 12 divided 5 on both sides
n = 1.4
5. 8n=12 divide 8 on both sides
n= 1.5
The Garcia family bought 400 yards of fencing to enclose a circular wildflower garden. They will use all of the fencing whats the area
The area of the windflower garden that is enclosed by a circular fence of 400 yards length is equal to 12732.39 square yards.
What is circumference of a circle?The measurement of the circle's perimeter, also known as its circumference, is called the circle's border. It is the length around the border of the circular object or the circle itself.
What is the formula for calculating the perimeter of a circle?The formula for calculating the perimeter of a circle is ,
Perimeter/ Circumference of a circle = 2 * pi * r, where pi = 3.14 and r is the radius of the circle.
Taking the given information in the question, i.e circumference of the circular fencing wire , i.e C = 400 yards
or , 2 * pi * r = 400
or , r = 400/(2* 3.14)
r = 63.66 yards
Now the area of the circular fence is given by,
Area = pi * r^2
Area = 3.14 * 63.66^2
Area = 12732.39 square yards
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How do you read XYZ coordinates?
The XYZ coordinates are read as x-axis, y-axis and z-axis respectively.
Here we know that the x-axis is the horizontal line along which the wall to your left and the floor intersect where as the y-axis is the horizontal line along which the wall to your right and the floor intersect and the z-axis is the vertical line along which the walls intersect.
Here we also know that x-coordinate is measured along the east west axis, the y-coordinate is measured along the north south axis, and the z-coordinate measures height or elevation.
And it is used for a three-dimensional structure where the x-axis and y-axis represent the first two dimensions and the z-axis is the third dimension.
And in a graphic image, the axes x and y denote width and height and the z denotes depth.
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