It is Growing Exponential function because the base is greater than 1 and the exponent has a positive sign.
What is exponential decay function?
A exponential decay is a function that, as the name implies, decays exponentially. So it decays fast at the beginning and slower as the value of the variable increases.
[tex]y=5^x[/tex]
It is a function called "Exponential function". The base determines the growth or decay of the function.
If base > 1, then the function grows, otherwise if base is between 0 and 1, the function decays.
Here, the base is positive and it's not 1 or 0.
If we have
[tex]y=5^{-x}[/tex]
this function can be rewritten in this way:
[tex]y=(1/5)^x[/tex]
Here, base between 0 and 1, the function decays
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Slope = ½; (h, k) = (1, -2) find the slope-point
The linear equation with a slope of 1/2 and that passes through the point (1, -2) is written in point-slope form as:
y = (1/2)*(x - 1) - 2
How to find the equation of the line?For a linear equation with a slope m and a known point (h, k), the slope-point form is written as:
y = m*(x - h) + k
Where y and x are the two variables.
Here we know that the slope is 1/2, and the known point is (1, -2), then the values on the equation above are:
m = 1/2
h = 1
k = -2
Replacing that in the general formula for the linear equation in the slope-point form that is written above, we will get:
y = (1/2)*(x - 1) - 2
That is what we wanted to find.
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What are the coordinates of B′ after the pentagon is rotated 90° about the origin?
Assuming that the rotation is anticlockwise (as it is not defined) the coordinates of B after the rotation are (-5, 1), so the correct option is C.
What are the coordinates of B' after the rotation?If the pentagon is rotated 90°, then all the vertices are also rotated 90° about the origin.
Here we don't know if the rotation is clockwise or anticlockwise, so we assume it is anticlockwise, as this is the standard rotation.
The orignal coordiates of point B are (1, 5)
This is on the first quadrant, a rotation of 90° anticlockwise will:
Interchange the x-value and the y-value.Add a negative sign to the new x-value.So we will go from a point (x, y) to (-y, x)
Then the new coordinates of B' are (-5, 1)
Thus, the correct option is C.
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A rectangular yard measuring 35 ft by 55 ft is bordered (and surrounded) by a fence. Inside, a walk that is 3 ft wide goes all the way along the fence. Find the area of this walk. Be sure to include the correct unit in your answer.
The area of walk is 504 square feet
Area of rectangleThe area of rectangle is define as a product of length L and width w
calculate the area of rectangle yard
Area = L x W,
where A equal the Area, L equals the length and W equal width.
A = 35 x 55
A= 1925 square feet
Area of the rectangular yard is 1925 square feet
From the question, we have 3ft wide goes all the way along the fence inside.
Therefore, we subtract six feet from each of the value of length ( 35) and width (55) because each side has 3feet .
Area = L x W
A = 29 x 49
A = 1421 square feet
Area of new rectangle formed by allowing for three foot walk is 1421 square feet
Area of Walk
To get the area walk; we subtract area of new rectangular formed from area of rectangular yard
Area of Walk = Area of Rectangular yard - Area of new rectangle
Area of Walk = 1925 - 1421
Area of Walk = 504 square feet.
Therefore, the area of walk is 504 square feet.
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Please help will mark Brainly
Answer: Horizontal Translation
Step-by-step explanation:
The admission fee at a local zoo is $1.50 for children and $5.00 for adults. On a certain day, 3700
people enter the zoo and
$11, 500.00 is collected. How many children and how many adults
attended?
How many children attended?
How many adults attended?
What are the 7 types of triangles?
The 7 names of triangles:
Scalene, Isosceles, Equilateral, Equiangular triangle, Acute triangle,
Right triangle, Obtuse triangle
What are triangles?
Three vertices make up a triangle, a three-sided polygon. The triangle's angles are formed by a point where the three sides are joined end to end. The triangle's three angles add up to a total of 180 degrees.
Equiangular triangle: All angles are equal.
Acute triangle . . . all three angles are less than 90°
Right triangle . . . one angle is 90°
Obtuse triangle . . . one angle is greater than 90°
Equilateral triangle . . . all three sides are the same length
Isosceles triangle . . . two sides are the same length
Scalene triangle . . . all three sides are different lengths
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Choose the symbol that correctly compares these numbers.
18.6? 18.7
O A. <
OB. =
O C. >
Answer: A
Step-by-step explanation:
18.6 is less than 18.7
so 18.6<18.7
Barb has a jewelry box in the shape of a rectangular pyramid. The top opens at a cross section parallel to the base
What is the shape of the opening of the jewelry box?
A rhombus
B rectangle
C triangle
D trapezoid
write -1/2x + 4 = 10 in slope intercept form
Answer: y=-1/2x+4
Step-by-step explanation:
The ratio of flour to sugar is 2 cups to 3 cups. If there are 5 cups of flour, how many cups of sugar are there?
The number of sugar cups will be equal to 7.5 cups.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Given that the ratio of flour to sugar is 2 cups to 3 cups. The number of cops for flour is 5.
The number of sugar cups will be calculated as,
F / S = 2 / 3
5 / S = 2 / 3
S = ( 5 x 3 ) / 2
S = 7.5 cups
Therefore, the number of sugar cups will be equal to 7.5 cups.
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Consider the expression 4x^2+x+34x 2 +x+34, x, squared, plus, x, plus, 3. Complete 222 descriptions of the parts of the expression.
[tex]72x^{2}+3x+3[/tex]Answer:
Step-by-step explanation:
[tex]1. (4x^{2}+34x^{2} +34x^{2} )+(x+x+x)+3\\ 2. 72x^{2} +3x+3[/tex]
Multiply and write a fraction or mixed numbers in its simplest form
2/5 x 6/7
Find x:
X=________________
Assuming [tex]\overline{BC}[/tex] is a diameter, minor arc [tex]AB[/tex] has a measure of [tex]180^{\circ}-108^{\circ}=72^{\circ}[/tex].
Using the inscribed angle theorem, [tex]36=x+3 \implies x=\boxed{33}[/tex].
−8×(−10+(−7))
Evaluate the following expression.
Answer:
136
Step-by-step explanation:
solve the inside of the parentheses and you get -17, then multiply by -8
Find the equation of the line that passes through the point (3, 28) and has slope 11. Simplify your equation to the following form.
=11+____
Answer:
y=11x-5
Step-by-step explanation:
y=mx+b
28=11(3)+b
28=33+b
b=-5
y=11x-5
graph the exponential function y52x
The graph of exponential function y = 5.2^x
exponential function in the form y = ab^x + c
Exponential function:
An exponential function is a mathematical function of the following form: f ( x ) = a^x. where x is also a variable, and a is a constant called the base of the function.
where
a is the initial y - intercept.
b is the constant ratio.
c is the horizontal asymptote.
So, in this problem, we have:
constant ratio = 2
y-intercept at y = 5
horizontal asymptote at y = 0
The graph is in the image uploaded.
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HELP I BEG
Which of the following is equivalent to 43x + 17y + 3x?
3x(43x + 17y)
43x + 20xy
43x + 3x + 17y
43x(17y + 3x)
Answer:
43x+3x+17y
Step-by-step explanation:
because 43x+17y+3x=43x+17y+3x
Gloria is preparing to visit her grandmother in Florida and needs to buy some new clothes for the trip. She buys 3 t shirts and pays $48
How much would she pay for 1 t shirt?
How much would she pay for 5 t shirts?
Answer:
Step-by-step explanation: How much is 1 t shirt
Emy has 13 1/4 kilograms of sweet potatoes.She gave away 5 12 kilogramsof corn to her neighbors.how many kilograms of corn than potatoes did she gave away?
Answer:
2 1/4 kg
Step-by-step explanation:
Let A and B be two events. Suppose that P (A) = 0.11 and P (B) = 0.06.
(a) Find P (A or B), given that A and B are mutually exclusive.
(b) Find P (A or B), given that A and B are independent.
Answer:
find p (A or ),given that A and B are independent
How do you isolate the variable by dividing each side by factors that don't contain the variable?
We isolate the variable in an equation by dividing both sides of the equation in which one side does not contain any variable.
According to the question,
We have the following information:
Isolating a variable by dividing each side of the equation in which one side does not contain any variable.
Now, in this case, it is clearly stated that the first step to isolate the variable from the equation is to perform division.
Now, this can be done as follows in the given equation:
2x = 14
Now, the variable x can be isolated by dividing both sides of the equation by 2:
x = 14/2
x = 7
Hence, we isolate the variable in an equation by dividing both sides of the equation in which one side does not contain any variable.
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Use the graph or table to find the equation that represents the relationship.
The linear equations that represent the relationships in the question order are;
y = 4·x - 1y = -x + 4[tex]y = \frac{1}{4} \cdot x -1[/tex][tex]y = -x + \frac{1}{4}[/tex]What is a linear equation?A linear equation is an equation of the form; y = m·x + c
The slope of the line is found as follows;
(-5 - (-21))/(-1 - (-5)) = 4
The equation is y - (-5) = 4·(x - (-1)) = 4·x + 4
y = 4·x + 4 - 5 = 4·x - 1
y = 4·x - 1The y-intercept is (0, 4), the x-intercept is (4, 0)
The slope is therefore; (0 - 4)/(4 - 0) = -1
The equation is therefore; y - 0 = -1 × (x - 4) = -x + 4
y = -x + 4The y-intercept is (0, -1), the x-intercept is (4, 0)
The slope is therefore; (0 - (-1))/(4 - 0) = 1/4
The equation is therefore; y - 0 = (1/4) × (x - 4) = x/4 - 4/4 =
y = x/4 - 1The slope of the line is; [tex]\dfrac{-3\frac{3}{4} - \left(-\frac{3}{4}\right) }{4-1} = -1[/tex]
y - (-3/4) = -1 × (x - 1) = -x + 1
y = -x + 1 - (3/4) = -x + 1/4
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help!! i’ve been stuck on this problem!
Answer:
x less than or equal to -2
Step-by-step explanation:
I believe that's the answer
Answer:
x < -2
Step-by-step explanation:
You want the domain of a function graphed as a curve with an open circle at x=-2, which is the right end of the curve.
DomainThe domain is the horizontal extent of the graph. It is the set of values for which the relation is defined.
ApplicationThe open circle at (x, y) = (-2, 0) means that point is not part of the graph. All x-values to the left of that point have corresponding y-values, so the extent of the graph can be said to be ...
x < -2
The domain of the relation is x < -2.
someone pls help me m = -0.5d + 5
Answer:
Step-by-step explanation:
1) Subtract 5 from both sides.
[tex]m-5=-0.5d[/tex]
2) Divide both sides by -0.5.
[tex]-\frac{m-5}{0.5} =d[/tex]
3) Switch sides.
[tex]d=-\frac{m-5}{0.5}[/tex]
Thank you,
Eddie
Find f(h(x)).
f(x) = x² + 4
h(x)=√x-3
Answer:
[tex]f(h(x)) = ( \sqrt{x} - 3)^{2} + 4[/tex]
[tex]f(h(x)) = (x - 9) + 4[/tex]
[tex]f(h(x)) = x - 5[/tex]
Step-by-step explanation:
h(x) became x for function of f(x)
Question 3: Multiply: 0.33.10⁵
330
330000
33000
3300
Answer:
33,000
Step-by-step explanation:
0.33 x 10^5 is 33,000
12. The hourly temperatures at Eppley Airfield Airport in Omaha, Nebraska, in May 2014 are approximately normally distributed with a mean of 64.4˚F and a standard deviation of 12.2 ˚F. The z-score of the lowest temperature is −2.49. What is the lowest temperature? Round your result to the one’s place.
The lowest temperature with a z score of of -2.49 is 24.0 ˚F
How to find the temperature with a z score of -2.49Z scores, measures the amount of standard deviation sample X is from mean. the formula is below
z = (X - μ) / σ
Definition of variables
mean, μ = 4.4˚F
standard deviation, σ = 12.2 ˚F
X = lowest temperature
z = -2.49
substituting into the formula
-2.49 = (X - μ) / σ
-2.49 = (X - 64.4) / 12.2
-2.49 * 12.2 = X - 64.4
-30.378 + 64.4 = X
X = 34.022
X = 34.0 (to one decimal place)
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20 is ______times as much as 2
What happens when the discriminant equals zero?
Answer: It indicates that the quadratic has a repeated real number solution.
Step-by-step explanation:
Select the correct answer.
Which exponential equation is equivalent to this logarithmic equation?
log^5 x - log^5 25 = 7
Answer:
[tex]\textsf{D.} \quad 5^9=x[/tex]
Step-by-step explanation:
Given logarithmic equation:
[tex]\log_5x-\log_525=7[/tex]
[tex]\textsf{Apply the quotient log law}: \quad log_ax - \log_ay=\log_a \left(\dfrac{x}{y}\right)[/tex]
[tex]\implies \log_5\left(\dfrac{x}{25}\right)=7[/tex]
[tex]\textsf{Apply log law}: \quad \log_ab=c \iff a^c=b[/tex]
[tex]\implies 5^7=\dfrac{x}{25}[/tex]
Multiply both sides by 25:
[tex]\implies 25 \cdot 5^7=x[/tex]
Rewrite 5 as 5²:
[tex]\implies 5^2 \cdot 5^7=x[/tex]
[tex]\textsf{Apply exponent rule}: \quad a^b \cdot a^c=a^{b+c}[/tex]
[tex]\implies 5^{2+7}=x[/tex]
[tex]\implies 5^9=x[/tex]
