The correct answer is C. Exponential growth. As the function given f(x) = ½ • (5)ª is in exponential form, its range f(x) will increase for any input x.
What is termed as Exponential growth?Exponential growth happens when the larger you are, the faster you grow, making you even larger. Compound interest or population growth characterizes growth.It is termed exponential growth because it is only mathematically described by multiplying time by the exponent or power of the base. The population is then equal to some arbitrary number to a power of the growth rate multiplied by the time. Typically, the arbitrary number is 2, and the growth rate is given as the reciprocal of a doubling time.The given function is defined as;
f(x) = ½ • (5)ª
As, the function is written in the exponent form or power form , its is said to be exponential function.
Now, for any increasing value of x, the value of function will also increase but with increasing difference.
Thus, the function is termed as the exponential growth function.
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please help due in 10 mins factor with work please
Answer:
7ab(b^4-8)
Step-by-step explanation:
(7ab)(b^4-8)
For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.
Lisa is hosting a dinner party and wants to buy filet mignon. Her local grocery store has filet mignon on sale for $6.99 per pound. Lisa bought 4.35 pounds of steak for the dinner party.
Part A: What will Lisa pay for the filet mignon she purchased at $6.99 per pound? Show all work and round the price to the nearest cent.
Part B: Lisa also purchased 2.25 pounds of shrimp at $5.25 per pound. How much will Lisa pay for the shrimp? Show all work.
Part C: What is the total amount Lisa will pay for the filet mignon and the shrimp? Show all work.
please help me :(
1. The Lisa pay for the filet mignon she purchased at $6.99 per pound is $30.41 pounds.
2. The amount she will pay for the shrimp is $11.8125.
3. The total amount Lisa will pay for the filet mignon and the shrimp is $42.2225.
How to calculate the values?1. The local grocery store has filet mignon on sale for $6.99 per pound. Lisa bought 4.35 pounds of steak for the dinner party. The amount paid will be:
= 4.35 × $6.99
= $30.41 pounds.
2. Lisa also purchased 2.25 pounds of shrimp at $5.25 per pound. The amount she will pay for the shrimp is:
= 2.25 × $5.25
= $11.8125
3. The total amount Lisa will pay for the filet mignon and the shrimp is:
= $11.8125 + $30.41
= $42.2225
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Answer:
$42.2225
Step-by-step explanation:
-2x^2+4x=5
use the Quadratic formula, the equation needs to be in standard form first. Then label a, b and c and plug it into the quadratic formula and simplify using the order of operations.
The solution of the quadratic equation -2x² + 4x = 5 is; x = 1 ± (1/2)√-6
How to use quadratic formula?
We are given the quadratic equation;
-2x² + 4x = 5
-2x² + 4x - 5 = 0
Quadratic formula for an equation of the form ax² + bx + c = 0 is given as; x = [-b ± √(b² - 4ac)]/(2a)
From the given quadratic equation, we can see that;
a = -2
b = 4
c = -5
Thus;
x = [-4 ± √(4² - 4*-2*-5)]/(2*-2)
x = [-4 ± √(16 - 40)]/-4
x = -4/-4 ± (1/4)√-24
x = 1 ± (2/4)√-6
x = 1 ± (1/2)√-6
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can someone help it is only 2 qestions 40 points
Answer: 9) 0.42, 2/5, 4.5%
10) 3.34, 3 1/3, 300%
Step-by-step explanation:
I NEED HELP, JUST LOOK AT THE PICTURE I ATTACHED
Answer:
3
Step-by-step explanation:
there are 15 pieces of candy and 5 people, so all you have to do is divided 15 by 5 which gives you 3 meaning each person gets 3 pieces.
Answer:
3
Step-by-step explanation:count them all together 15 put them into separate groups
The amount of oil imported to Country A from Country B in millions of barrels per day can be approximated by the
equation y = 0.064x + 1.49, where x is the number of years since 1975. Solve this equation for x. Use the new equation
to determine in which year the approximate
number of oil barrels imported from Country B per day will be 4.05 million.
The year in which the approximate number of oil barrels imported from Country B per day would be 4.05 million is 2,015.
What is a linear equation?A linear equation can be defined as an algebraic equation of the first order that has two (2) variables (x, y) with each of its term having an exponent of one (1).
In Mathematics, the standard form of a linear equation is given by the following:
y = mx + c
Next, we would solve the given linear equation for x:
y = 0.064x + 1.49
Subtracting 1.49 from both sides, we have:
4.05 - 1.49 = 0.064x + 1.49 - 1.49
4.05 - 1.49 = 0.064x
2.56 = 0.064x
x = 2.56/0.064
x = 40.
The year in which the approximate number of oil barrels imported from Country B per day would be 4.05 million is given by:
y = 1975 + x
y = 1975 + 40
y = 2,015.
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I need help with this exercise on Simplifying Logarithms.
Evaluate the following showing steps. Round the answer to three significant digits.
e^(4x-2) when x = 2
Answer:
Respuesta (ab³+))
can someone please wright an paragraph on the problem: -10 1/5 ÷2 4/5
Answer:
Paragraph
So, to start off this equation, you start with your mixed number, -10 1/5. Convert both mixed numbers to improper fractions, then multiply their numerators and denominators separately. Next, you must simplify. You simplify by converting improper fraction to mixed number. Then, you find the answer.
Hope this helps!
When Leroy went to bed, the temperature was
–
2°F. He needed his electric blanket to keep warm! By morning, the temperature had risen 9°F.
Answer:
;( no se tu problema
Use the graph to find the value of f(x) when x = 6 for the function f (x) = 1/3x-3
The value of the function f(6) on the graph of the linear equation is -1
What are linear equations?Linear equations are equations that have constant average rates of change.
Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the value of the function?The equation of the function is given as
f(x) = 1/3x - 3
The graph of the function is added as an attachment
From the graph, we can see that when x = 6, the value of the function is -1
This means that f(6) = -1
Hence, the value of the function f(6) on the graph of the linear equation is -1
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Carla's horse, Handy, ate 779 pounds
of hay last month. Handy has also eaten
204 pounds of hay so far this month.
How much hay did Handy eat altogether
this month and last month?
Total hay eaten by horse is 983 pounds.
given,
handy ate 779 pound hay in first month .
in the next month handy ate 204 pounds of hay,
we have to add both the numbers ,204+779
=983pounds.
so,
the total amount of hay eaten by handy is 983 pounds.
The addition formula is the statement that shows an addition fact and is expressed as, addend + addend = sum.
Long addition is a process for adding numbers together.
Stack your numbers and align the columns by place value.
Add all numbers column by column from right to left.
Record the sum in the answer space for each column.
If the sum of any one column is greater than nine, carry the additional digits to the next highest column.
The addition is the process of adding 2 or more numbers to get a final result. The 4 main properties of addition are commutative, associative, distributive, and additive identity. Commutative refers that the result obtained from addition is still the same if the order changes.
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PLS HELP WILL GIVE BRAINLIEST
Is the following relation a function? Justify your answer. Two circles are shown, one labeled x and the other labeled y. The x circle contains the numbers 6, negative 1, 4, and 0. The y circle contains the numbers 2, negative 1, and 3. Arrows map numbers from x to numbers from y. There are arrows going from 6 to negative 1, from negative 1 to 2, from 4 to 3, and from 0 to 3.
No, because there is an input value with more than one output value
No, because there is an output value with more than one input value
Yes, because each input value has only one output value
Yes, because each output value has only one input value
Yes the relation is a function because each input value has only one output value
How to interpret Mapping functions?Function is a type of relation, or rule, that maps one input to specific single output.
The x circle contains the numbers -6, -1, 4, and 0. The y circle contains the numbers -2, -1, and 3.
The mapping is of numbers from x to numbers from y. There are arrows going from 6 to -1, from -1 to 2, from 4 to 3, and from 0 to 3.
Thus, we conclude that yes the relation is a function because for each element of the set X there is only one correspondent element in the set Y.
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Answer: c
Step-by-step explanation: i did the test C:
Find the remaider theorem of (x^3-6x^2+x-5) by x+2
Answer:
-39Step-by-step explanation:
x³-6x²+x-5
but it is divided by x+2
x+2=0.
x=-2.
(-2)³-6(-2)²+(-2)-5.
-8-6*4-2-5.
-8-24-7
-15-24
-39Select all that apply
A. The slope of m is -2/5
B. The slope of q is -5/2
C. The slope of n is 2/5
D. The slope of p is -5/2
Can you please explain how you solve it?
Answer:
C is correct! for the slope, N is represented.
Step-by-step explanation:
The slope of the line that contains the points (1, 9) and (3, 4) is 4−93−1=−52.
slope=y2−y1x2−x1=4−93−1=−52
The negative reciprocal is 25, which is the slope of the perpendicular line.
Part 1: Write the equation of the graphed line in slope intercept (y= mx + b).
Answer:
1. y = 2x - 5
2. y = (-1/3)x
3. y = -4
4. y = (-3/4)x + 7
5. x = 6
6. y = -3x - 8
Step-by-step explanation:
1.
Point 1: (0, -5) Point 2: (-1, -7)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ -7 - (-5) -7 + 5 -2
m = ------------ = ----------- = ---------- = ------ = 2
x₂ - x₁ -1 - 0 -1 -1
y - y₁ = m (x - x₁)
y - (-5) = 2(x - 0)
y + 5 = 2x - 0
-5 -5
y = 2x - 5
----------------------------------------------------------------------------------------------------------
2.
Point 1: (0, 0) Point 2: (3, -1)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ -1 - 0 -1
m = ------------ = ----------- = ----------
x₂ - x₁ 3 - 0 3
y - y₁ = m (x - x₁)
y - (0) = (-1/3)(x - 0)
y - 0 = (-1/3)x - 0
-0 -0
y = (-1/3)x
----------------------------------------------------------------------------------------------------------
3.
Point 1: (0, -4) Point 2: (-5, -4)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ -4 - (-4) -4 + 4 0
m = ------------ = ----------- = ---------- = ------ = 0
x₂ - x₁ -5 - 0 -5 -5
y = -4
----------------------------------------------------------------------------------------------------------
4.
Point 1: (0, 7) Point 2: (4, 4)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 4 - 7 -3
m = ------------ = ----------- = ----------
x₂ - x₁ 4 - 0 4
y - y₁ = m (x - x₁)
y - 7 = (-3/4)(x - 0)
y - 7 = (-3/4)x - 0
+7 +7
y = (-3/4)x + 7
----------------------------------------------------------------------------------------------------------
5.
Point 1: (6, 0) Point 2: (6, 3)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 3 - 0 3
m = ------------ = ----------- = ---------- = undefined
x₂ - x₁ 6 - 6 0
x = 6
----------------------------------------------------------------------------------------------------------
6.
Point 1: (0, -8) Point 2: (-4, 4)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 4 - (-8) 4 + 8 12
m = ------------ = ----------- = ---------- = ------ = -3
x₂ - x₁ -4 - 0 -4 -4
y - y₁ = m (x - x₁)
y - (-8) = -3(x - 0)
y + 8 = -3x - 0
-8 -8
y = -3x - 8
I hope this helps!
Can someone find the slop?✨
Answer:4/3
Step-by-step explanation:from point (0,-1) to (4,4)
From first point on the y it goes up 5and 4 to the right
Or you can use formula m= y2-y1 / x2-x1
(X1,y1) (x2,y2). m= 4- -1/4-0 m= 5/4
(0,-1). (4,4)
Aisha just received a $40 paycheck from her new job. She spends some of it buying music online and saves the rest in a bank account. Her savings is given by f(x)=40-1.25x, where x is the number of songs she downloads at $1.25 per song. Graph the function.
The graph of saving function f(x) = 40 - 1.25x has been plotted with a slope of -1.25.
How to plot a graph?A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.
In order to plot the graph, we need to find out y's values corresponding to x's value
Given the function,
f(x) = 40 - 1.25x
Now to plot it we need to put x = 0
f(0) = 40 so y-intercept is (0,40)
Now keep f(x) = 0
Then 0 = 40 - 1.25x
x = 40/1.25 = 32
So x-intercept is (32,0)
So plot a straight line using points (0,40) and (32,0).
Hence "The graph of saving function f(x) = 40 - 1.25x has been plotted".
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I need help with geometry
Answer:
1.Pentagon
2.Rhombus
3.Hexagon
When extended, the periscope of a submarine is about eighteen feet above sea level. When retracted, the top of the periscope is ten feet below sea level. Suppose that a number line is used to represent this situation, with sea level at zero. Which number sentence describes the relationship between the distance from the surface to the top of the periscope when it is extended and the distance from the surface of the water to the top of the periscope when it is retracted?
The position of the periscope on the number line will lie at negative 10 for below sea level and at 18 for above sea level.
What is a number line?A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R."
It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.
Given that a submarine's periscope rises around 18 feet above sea level when fully deployed. The peak of the periscope is 10 feet below sea level when it is fully extended.
The periscope will be at negative 10 for levels below sea level and at 18 for levels above sea level on the number line. The image of the number line is attached with the answer below.
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there is 5 days in a school week. there is 6 dollars in a lunch account. 94 dollars is added to the account so now it is a hundred. school lunch cost three dollars everyday. How long will it take to exhuast the money.
The time taken to exhaust the money will be 33 days.
How to calculate the value?Total amount = 100
Let the number of days be represented by x.
Therefore, the appropriate expression will be:
(3 × x) = 100
3x = 100
Divide
x = 100/3
x = 33.33
Therefore the time taken will be 33 days.
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Please help, I will give you brainlest.
I really need help I am lost Thank you !
The solution to the composite functions are as follows:
f(g(x)) = x² + 4x + 4 / 2g(f(x)) = x² / 2 + 2How to solve composite function?The composite functions can be solved as follows:
f(x) = x² / 2
g(x) = x + 2
Therefore,
f(g(x)) = (x + 2)² / 2
f(g(x)) = (x + 2)(x + 2) / 2
f(g(x)) = x² + 2x + 2x + 4 / 2
f(g(x)) = x² + 4x + 4 / 2
Therefore,
g(f(x)) = x² / 2 + 2
g(f(x)) = x² / 2 + 2
Therefore, the solution to the composite functions are as follows:
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simplify 4 x 18/6 x 5/5
Answer:
12
Step-by-step explanation:
4.18/6 * 5 over 5
72/6 *5 over 5
72/6 * 5 divided by 5
12.5 divided by 5
12 times 5 over 5
60/5
60 divided by 5
Sakura is making a mobile. She has a spool of twine that she cuts into
lengths of 5/6 foot, 0.75 foot, and 4/5 foot. The mobile will have pieces of
twine in lengths in order from shortest to longest.
the lengths?
In order to compare the lengths from the shortest to the longest, we need to convert all the fractions into decimals.
We are given the different lengths of the spool of twine that is being cut.
We have those lengths as:
5 / 6 foot
0.75 foot
4 / 5 foot.
To compare the lengths from the shortest to the longest, we need to first convert all the fractions into decimals.
So, we get that:
5 / 6 foot = 0.83 foot
4 / 5 foot = 0.80 foot
Now, we can arrange the lengths from the shortest to the longest.
0.75 foot, 0.80 foot, o.83 foot.
Therefore, we get that, in order to compare the lengths from the shortest to the longest, we need to convert all the fractions into decimals.
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Your question was incomplete. Please refer the content below:
Sakura is making a mobile. She has a spool of twine that she cuts into
lengths of 5/6 foot, 0.75 foot, and 4/5 foot. The mobile will have pieces twine in lengths in order from shortest to longest. A. What do you need to do before you can compare the lengths?
Match each system of equations to the inverse of its coefficient matrix, A-1, and the matrix of its solution, X.
The matching of each system of equations to the inverse of its coefficient matrix: (refer to the picture given below)
1st equation system (top left) = Image number 8Equation system (Image 10) = Image 4Equation system (Image 9) = Image 6Equation system (Image 7) = Image 2What do we mean by a matrix?A matrix (plural matrices) is a rectangle array or table of numbers, symbols, or expressions arranged in rows and columns that are used to represent a mathematical object or an asset of such an object in mathematics.After matching each system of equations to the inverse of its coefficient matrix: (refer to the picture given below)
1st equation system (top left) = Image number 8Equation system (Image 10) = Image 4Equation system (Image 9) = Image 6Equation system (Image 7) = Image 2Therefore, the matching of each system of equations to the inverse of its coefficient matrix: (refer to the picture given below)
1st equation system (top left) = Image number 8Equation system (Image 10) = Image 4Equation system (Image 9) = Image 6Equation system (Image 7) = Image 2Know more about the matrix here:
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The complete question is given below:
Match each system of equations to the inverse of its coefficient matrix, A^-1and the matrix of its solution, X.
Answer:
shown in picture
Step-by-step explanation:
Vwxyz is a rectangular pyramid where WX is longer than XY. Is the slant height VA longer or shorter than the slant height VB? Explain your answer
In rectangular pyramid VWXYZ where WX>XY, then slant height VA shorter than the slant height VB.
As given,
In rectangular pyramid VWXYZ,
WX>XY
⇒(WX/2)>(XY/2)
⇒AX>BX
Draw perpendicular height VM and join AM and BM such that MAXB is a rectangle
AM=BX and BM=AX
So, BM>AM __(1)
In right triangle VMA and VMB,
VA and VB are slant height (hypotenuse)
VM=perpendicular height
AM and BM are base
VA=√VM² + AM²
VB=√VM² + BM² __(2)
From (1) and (2)
VA<VB
Therefore, in rectangular pyramid VWXYZ where WX > XY, then slant height VA shorter than the slant height VB.
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The ratio of rod cars to blue cars in a parking lot was 5: 3. If there were 40 red cars, how
many blue cars were there?
Answer: 24 blue cars
Step-by-step explanation:
Red | Blue
5 : 3
x8 x8
40 : ?
40 : 24
An engineering school reports that 52% of its students were male (M), 33% of its students were between the ages of 18 and 20 (A), and that 22% were both male and between the ages of 18 and 20.
What is the probability of choosing a random student who is a female or between the ages of 18 and 20? Assume P(F) = P(not M).
Your answer should be given to two decimal places.
The store is supposed to keep an inventory of 120 cases of coke. There are 17 cases in the cooler and 43 cases in a floor display. How many cases should be ordered to bring the inventory back to the correct level?
60 more cases of coke is needed to maintain the required inventory.
Total inventory for the coke needed = 120
Number of cokes in then cooler = 17
Number of coke in the floor display = 43
Number of coke needed more to maintain the required inventory will be calculated by using subtraction.
= 120 - 17 - 43
= 103 - 43
= 60
Therefore, 60 more cases of coke is needed to maintain the required inventory.
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In a class of 45 students, there are 15 girls, what is the percentage of the class are boys
Answer:
75%
Step-by-step explanation:
To find the percentage of boys in the class, we must know how many boys are in the class.
The class has a total of 45 students. 15 of those students are females, so we know to 45 - 15 is the number of boys.
45-15=30
So now we now that there are 30 boys. To be more specific, 30 boys out of the 45 students. We can look at this as a fraction, which can be changed to a percentage/decimal. ([tex]\frac{30}{45}[/tex])
[tex]\frac{30}{45}[/tex] converted to a percentage is 75. This means that the percentage of boys in the class is 75%
This is the graph of y= x2 + 4x + 7 what is the range of this function?
The range of the function y = x^2 + 4x + 7 is y >= 3
How to determine the range of the function?The equation of the function is given as
y = x^2 + 4x + 7
Start by differentiating the above function
So, we have
y' = 2x + 4
Set the above equation to 0
So, we have
2x + 4 = 0
Divide through the equation by 2
So, we have
x + 2 = 0
Evaluate the like terms:
x = -2
Substitute x = -2 in y = x^2 + 4x + 7
y = (-2)^2 + 4(-2) + 7
Evaluate the expression
y = 3
The leading coefficient of the equation y = x^2 + 4x + 7 is positive
This means that the vertex is a minimum
So, the range is
y >= 3
Hence, the range of the function y = x^2 + 4x + 7 is y >= 3
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