Answer: 20 hrs
Step-by-step explanation:
If f(x) and its inverse function, ¹(x), are both plotted on the same coordinate plane, what is their point of
intersection?
(0,-2)
(1,-1)
(2,0)
(3,3)
The point of intersection is (3,3)
What is meant by intersection?
The intersection points show where both equations have their answers. To put it another way, the intersection point is the answer to both equations. There are multiple intersecting points if there are multiple solutions that satisfy both equations.
If we plot a function, y = f(x), and its inverse, y = f1(x), we can see that the inverse function is the exact opposite of the original function with regard to y = x.
Consequently, only when y = x can both intersect as show in the fig.
Therefore A place where the lines y and x cross must be there.
Find the spot that the line y = x meets at this time.
Of course, the line y = x is satisfied at only one point, which is (3,3).
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If 1=3
2=3
3=5
4=4
5=4
Then, 6=?
The value of 6 is equal to 3.
Given that:
If 1=3, 2=3, 3=5, 4=4, 5=4.
So, we have to find the value of 6.
To calculate the value of 6 we have to think logically.
Looking at this question logically,
1 is written as ONE, so it contains three alphabets.
2 is written TWO, so it contains three alphabets.
3 is written as THREE, so there are 5 alphabets.
4 is written as FOUR, so it contains four alphabets.
5 is written as FIVE, so it contains four alphabets.
6 is written as SIX, so it contains three alphabets.
So, in this way, 6 can be written as 3.
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Two children share 2 1/2 chocolate bars with each child getting the same amount how much does each child get?
Answer:
1 1/4
Step-by-step explanation:
2 divided by 2 is 1.
1/2 or 0.5 divided by 2 is 0.25. this is equal to 1/4.
Answer: 1 [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
First of all, we need to multiply 2 [tex]\frac{1}{2}[/tex] by 1/2.
But to do that, we need to turn 2 [tex]\frac{1}{2}[/tex] into an improper fraction.
First of all, we need to multiply the whole number by the denominator, which is 2 x 2, to get 4.
Now, we need to add the numerator to our product, which is 4 + 1.
This gives us the improper fraction of 5/2.
Now, we need to multiply 5/2 by 1/2.
To do this, we need to multiply across.
5 x 1 = 5
2 x 2 = 4
This gives us 5/4.
Now, we turn it into a mixed number.
5/4 is 1 [tex]\frac{1}{4}[/tex].
This gives us our final answer of 1 [tex]\frac{1}{4}[/tex]
Delaney would like to make a 5 lb but mixture that is 60% peanuts and 40% almonds. she has several kinds of peanuts and several kinds of a mixture that is 20% peanuts and 80% almonds. let p represent the number of punts of peanuts needed to make the mixture, and let m represent the number of pounds of the 80% almond-20% peanut mixture. What is the system that models this situation
a) The ratio system that models this situation which has an equation.
0.20 m + 1 (5 m) = 0.60 x (5)
0.80 m + 0 (5 m) = 0.40 x (5)
b) The system solution is:
m = 2.5 lb
p = 5-m = 2.5 lb
This is a mixing issue.
Mixture A of 20% peanuts + 80% almonds
Let's call the 100% peanut mixture B and the mixture C of 60% peanuts + 40% almonds
Adding mixture A and mixture B together gives mixture C, so we know that the pounds of mixture A and mixture B is 5 lb.
Let m be the amount in pounds of the 20% peanut and 80% almond mixture or mixture A
When 5-m = p is the amount of mixture B in pounds.
The system of equations that models this situation is, therefore:
0.20 m + 1 (5 m) = 0.60 x (5) ...... (1)
0.80 m + 0 (5 m) = 0.40 x (5) ...... (2)
Solving any of the above equations we find the value of m = 2.5 lb
Amount of mixture A in pounds = 2.5 lb
Amount of mixture B in pounds = 5-2.5 = 2.5 lb
The system solution is:
m = 2.5
p = 2.5
So, we can make 5 lbs of mixture C (60% peanuts + 40% almonds) from 2.5 lbs of mixture A (20% peanuts + 80% almonds) and 2.5 lbs of mixture B (100% peanuts).
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y ≥ 2x+4
y≤ - x² +6
Need to list all points of intersection from system of inequalities
Answer:
Step-by-step explanation:
The intersection consists of the elements that are contained in all of the intervals.
(-2, 2) (-1, 4) (0, 6)
Correct me if im wrong
A total of $7000 is invested: part at 6% and the remainder at 8%. How much is invested at each rate if the annual interest is $430?
$6500 is invested at the rate of 6% and $500 is invested at the rate of 8%.
What is annual interest rate?
An annual percentage rate is expressed as an interest rate. It calculates what percentage of the principal you'll pay each year by taking things such as monthly payments into account.
Invested amount = $7000
Let x be the invested amount at 6% and y be the invested amount at 8%.
According to the question,:
x+y=7000......(1)
annual interest is $430.
Therefore Interest on x + interest on y = $430
Interest=(invested amount*rate*time)/100
Here Time is 1 year.
(6*x)/100+(8*y)/100=430
This shows, 6x+8y=43000.......(2)
From equation (1), we have:
x=7000-y.........(3)
Substitute the value of x in equation (2),
6(7000-y)+8y=43000
On simplifying, y=500
Put y = 500 in equation (3)
we get x=6500
Therefore $6500 is invested at the rate of 6% and $500 is invested at the rate of 8%.
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Write an equation for the ellipse.
Type the left side of the equation in the box below.
=1
The equation of the ellipse in vertex form is (x - 1)² / 25 + (y + 2)² / 4 = 1.
How to derive the equation of an ellipse based on a figure
In this question we find a representation of an ellipse with a center at point (h, k) = (1, - 2). The vertex form of the equation of the ellipse is introduced below:
(x - h)² / a² + (y - k)² / b² = 1
Where:
a - Length of the major semiaxis.b - Length of the minor semiaxis.Please notice that the major semiaxis is parallel to the x-axis and the minor semiaxis is parallel to the y-axis.
First, write the coordinates of the center of the ellipse:
(h, k) = (1, - 2)
Second, find the lengths of the semiaxes:
Major semiaxis
a = 0.5 · [6 - (- 4)]
a = 5
Minor semiaxis
b = 0.5 · [0 - (- 4)]
b = 2
Third, write the equation of the ellipse:
(x - 1)² / 25 + (y + 2)² / 4 = 1
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What is y-3=1/4(x-2) in slope intercept form
Answer:
y = [tex]\frac{1}{4}[/tex] x + [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
y - 3 = [tex]\frac{1}{4}[/tex] (x - 2 ) ← distribute parenthesis
y - 3 = [tex]\frac{1}{4}[/tex] x - [tex]\frac{1}{2}[/tex] ( add 3 to both sides )
y = [tex]\frac{1}{4}[/tex] x + [tex]\frac{5}{2}[/tex] ← in slope- intercept form
Find the product of (3 x 10 9) and (2 x 10 9). Write the final answer in scientific notation.
6 x 10 81
6 x 100 18
6 x 10 18
6 x 10 9
Product of the given expression (3 x 10⁹) and (2 x 10⁹) in the scientific notation is given by 6 x 10¹⁸.
As given in the question,
Given expression is equal to :
(3 x 10⁹) and (2 x 10⁹)
Apply law of indices of multiplication to get the product of the given expression
mᵃ × mᵇ = mᵃ⁺ᵇ
Product of the given expression (3 x 10⁹) and (2 x 10⁹) in the scientific notation is equal to
(3 x 10⁹) and (2 x 10⁹)
= ( 3 × 2 ) × ( 10⁹ × 10⁹ )
= 6 × 10⁹ ⁺ ⁹
= 6 × 10¹⁸
Therefore, product of the given expression (3 x 10⁹) and (2 x 10⁹) in the scientific notation is given by 6 x 10¹⁸.
The complete question is:
Find the product of (3 x 10⁹) and (2 x 10⁹). Write the final answer in scientific notation.
6 x 10⁸¹
6 x 100¹⁸
6 x 10¹⁸
6 x 10⁹
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Determine the end behavior of the following polynomial function:
f(x)=−2x^3+20x^20+20x^18+60x^7+9
The leading term of the polynomial is ?
The degree of f(x) is ?
The leading coefficient is ?
The end behavior of the following polynomial function is option A.
The leading term of the polynomial is 20x^20, degree of f(x) = 20, and the leading coefficient is 20.
Given function:
f(x)=−2x^3+20x^20+20x^18+60x^7+9
= 20x^20+20x^18+60x^7+2x^3+9
Here the degree is 20.
Leading term = 20x^20.
Leading coefficient = 20.
The degree is even and the leading coefficient is positive so end behavior is upward parabola which is option A .
Therefore the leading term of the polynomial is 20x^20, degree of f(x) = 20, and the leading coefficient is 20.
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HELPPPP GUYSSS PLEASE PLEASE PLEASEEEEEEEEEE
Answer:
b
Step-by-step explanation:
Given f(x) = 2x^2 - 3x -12, find f(7).
Answer:
Step-by-step explanation:
Adding and Subtracting Functions
The value of addition for the equation (f + g) (-2) is 15 and the value of subtraction for the equation (f + g) (-2) is 39.
A function is a relationship that assigns exactly one output value to each input value. Like numbers and polynomials, functions can be added, subtracted, multiplied, and divided to create new functions. Here are the rules for performing these operations on functions.
Let f(x) and g(x) be two functions:
Addition:
We can add two functions:
(f + g)(x) = f(x) + g (x) ...... (1)
Given that:
f(x) = 5x^2 + 7
g(x) = 3x - 6
Putting the value of f(x) and g(x) in equation (1).
(f + g)(x) = 5x^2 + 7 + 3x - 6
(f + g)(x) = 5x^2 + 3x + 1 .......(2)
We have to evaluate the value of (f + g) (-2). Therefore, put the value of x = -2 in equation (2). We get,
(f + g) (-2) = 5 (-2)^2 + 3 x -2 + 1
(f + g) (-2) = 20 - 6 +1
(f + g) (-2) = 15
Hence, for the addition of the equation (f + g) (-2) the value is equal to 15.
Subtraction:
We can add two functions:
(f - g)(x) = f(x) - g (x) ...... (3)
Given that:
f(x) = 5x^2 + 7
g(x) = 3x - 6
Putting the value of f(x) and g(x) in equation (3).
(f - g)(x) = 5x^2 + 7 - (3x - 6)
(f - g)(x) = 5x^2 + 7 - 3x + 6
(f - g)(x) = 5x^2 - 3x + 13 ....... (4)
We have to evaluate the value of (f - g) (-2). Therefore, put the value of x = -2 in equation (4). We get,
(f - g)(-2) = 5(-2)^2 - 3(-2) + 13
(f - g)(-2) = 5 x 4 + 6 + 13
(f - g)(-2) = 20 + 6 + 13
(f - g)(-2) = 39
Hence, for the subtraction of the equation (f - g) (-2) the value is equal to 39.
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A gym scores their clients on a scale of 1-100 and claims that they can help their clients improve on their
exercises. After two months with a gym membership, eleven gym members are assessed to see how much
they have improved on their exercises.
Here are two different data displays of the same data that represent how much the eleven gym members hav
improved.
Answer:
u need a chart image
Step-by-step explanation:
Find the missing dimension of the cone. Round your answer to the nearest tenth.
Volume of cone is 1/18 pi, radius is 2/3 ft
Please help, Thank you
Using the formula of volume of cone, the height of the cone is 3/8.
In the given question,
We have to find the missing dimension of the cone.
Volume of cone is 1/18 pi, radius is 2/3 ft.
As we know that volume of cone is one third of the product of pi, square of radius and height.
The formula of cone is
[tex]V=\frac{1}{3}\pi r^2h[/tex]
where V=Volume of cone
r=radius of cone
h=height of the cone
We know V=1/18 π, r=2/3 ft.
We don't know the value of h. So we find the value of h.
putting the value in formula
[tex]\frac{1}{18}\pi=\frac{1}{3}\pi\times\frac{4}{9}\times h[/tex]
Simplifying
[tex]\frac{1}{18}\pi=\frac{4}{27}\pi\times h[/tex]
[tex]\frac{\pi}{18}=\frac{4\pi}{27}\times h[/tex]
Multiply by 4/27π on both side
[tex]\frac{\pi}{18}\times\frac{27}{4\pi}=\frac{4\pi}{27}\times\frac{27}{4\pi}\times h[/tex]
Simplifying
[tex]\frac{1}{2}\times\frac{3}{4}=h[/tex]
Simplifying
h = 3/8
Hence, the height of the cone is 3/8.
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Use the Pythagorean theorem to find the unknown side of the right triangle.
√7
√9
A. 2
B.√16
C. 16
D. √2
Answer:
B
Step-by-step explanation:
because im smart :) give me brainliest or else
b. The deck of the skateboard is made of a composite material. Which of the following statements about composite materials are true and which are false? Put a tick in one box in each row.
all the atoms in a composite are the same
one example of a composite is glass reinforced plastic
the properties of a composite are a combination of the properties of the materials used to make it
materials used to make composites are always arranged in layers
The correct options to the statements will be:
All the atoms in a composite are the same - False.
One example of a composite is glass reinforced plastic - True.
The properties of a composite are a combination of the properties of the materials used to make it - True
The materials used to make composites are always arranged in layers - False.
What are Composite materials?Composite materials are created by fusing two or more materials with very different properties. The different materials work together to give the composite its unique properties, but within the composite, the different materials can be easily distinguished - they do not dissolve or blend into each other.
A composite material is made up of two materials that have distinct physical and chemical properties. When they are combined, they form a material that is specialized to perform a specific function, such as becoming stronger, lighter, or electrically resistant. They can also help to increase strength and stiffness.
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Geometry question, see attachment below
The angle a formed at the exterior of the hexagon by a line that goes through a vertex to the center of the hexagon and a second line that touches the adjacent vertex is a = 30°
What properties of an hexagon can be used to find the measure of angle a?The properties of a regular hexagon includes;
There are 6 equilateral triangles in a regular hexagon
The triangle ΔOAC formed by the segment that extends into the hexagon is an equilateral triangle.
Therefore;
Triangle ΔABC is an isosceles triangle with segment AC ≅ Segment AB
Therefore;
Angle ∠C is congruent to angle ∠B (base angles of an isosceles triangle
∠C ≅ ∠B
m∠C = m∠B (definition of congruency)
m∠B = a
Therefore;
m∠C = m∠B = a
m∠C = a (substitution property)
From external angle to a triangle, postulate, we get;
m∠OAC = m∠B + m∠C
Therefore;
m∠OAC = a + a
60° = 2·a
a = 60°/2 = 30°
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Solve the equation 2.3y - 4.2 = -18 for y.
Answer:
y=-6
Step-by-step explanation:
2.3y - 4.2 = -18
+4.2 +4.2
---------------------------
2.3y = -13.8
divide by 2.3 on both sides
y = -6
The value of y for the given equation, 2.3y - 4.2 = -18 will be 6.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, the equation is 2.3y - 4.2 = -18.
We have to simplify the equation in order to find the value of y as,
2.3y - 4.2 = -18.
Rearrange the equation as
2.3y= -18+4.2
2.3y= -13.8
y= -13.8/2.3
y= 6
Thus, the value of y for the given equation, 2.3y - 4.2 = -18 will be 6.
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Mohan and Eve have recently got married and decided to merge their finances.
Mohan has 2 current accounts, the first has a balance of $101.46.
The second has -$21.21.
Eve's current account balance is -$45.91.
Which account has the lowest balance?
Select...
When they merge their accounts, what will their total balance be?
$
Eve has a savings account with $231.56 in it. She wants to buy a new coat at $75.00. She calculates that she will have $156.56
remaining.
Which sum could she use to check she is right? Select...
The total amount after merging their account will be $34.34.The sum of $75 + $156.56 will make $231.56.
What is summation?A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities. Here are always an integer number of terms in a summation. There could be only two terms, but there could be one hundred, a thousand, or a million. There are summations with an infinite set of parameters.
As per the given,
Mohan has 2 current accounts, the first has a balance of $101.46.
The second has -$21.21.
Total amount of Mohan = 101.46 - 21.21 = $80.25
Eve's balance = -$45.91
Combined balance = $80.25 - $45.91 = $80.25
As per the given,
Eve has a savings account with $231.56 in it. She wants to buy a new coat for $75.00. She calculates that she will have $156.56
$231.56 = $156.56 - $75
$231.56 + $75 = $156.56
Hence "The total amount after merging their account will be $34.34.The sum of $75 + $156.56 will make $231.56".
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Richard buys 13 pizzas for £54.08. If all the pizzas are the same price,
how much does one pizza cost? Give your answer in pounds (£).
Answer: 4.16 per pizza
Step-by-step explanation: 54.08 divided by 13 is 4.16
The scale on a map is
1 inch: 25 miles. You measure
8.5 inches between two towns..
What is the actual distance?
The actual distance is = 162.5mi
What is scale map?The ratio between a distance on a map and its actual distance on the ground is known as the map's scale. Since scale must vary across a map due to the curvature of the Earth's surface, this straightforward idea is made more difficult. This change makes the idea of scale significant in two different ways.The first method involves comparing the producing globe's size to that of the Earth. A conceptual model, called the generating globe, upon which the Earth is condensed and onto which the map is projected. The nominal scale (also known as the major scale or representative fraction) is the ratio of the size of the Earth to that of the generating globe.Acc to our question-
If the scale of the map is 1in:25mi, and you measure 6.5in between two twoms, then the real distance would be 6.5in*25mi = 162.5mi.Hence,The actual distance is = 162.5mi
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i need the regression equation and final answer
A linear regression equation that represents the data set is y = 39.7x + 1127.8. Also, the number of new cases for 2011 is equal to 1525 cases.
How to write the linear regression?In this scenario, the Year since 2002 (x) would be plotted on the x-axis of the scatter plot while the New cases (y) would be plotted on the x-axis of the scatter plot.
From the Excel sheet, you should right click on a data point on the graph (scatter plot), select format trend line and then tick the box to display an equation for the linear regression (line of best fit) on the graph.
By critically observing the scatter plot (see attachment) which models and shows the relationship given in the table, an equation for the linear regression is given by:
y = 39.7x + 1127.8
For 2011, the value of x is given by:
x = 2011 - 2002 = 9 + 1 = 10 years.
Now, we can determine the new cases for 2011:
y = 39.7(10) + 1127.8
y = 397 + 1127.8
y = 1524.8 ≈ 1525 cases.
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1.
2.
3.
Two Truths & One Lie:
Which of the 3 statements below is a lie?
Explain how you made your decision.
Z=8
X = 4 Y=6
132 x 13x = 136
my x m² = mx
5Y x 56 = 512
00
Stephanie Marrero, 2021
Answer:
2
Step-by-step explanation:
because 1. is true and 3. is true
A fish tank is being drained at a constant rate. The graph shows the linear relationship between the volume of water in the fish tank in liters and the time in minutes the tank has been draining.
The rate of change in the volume of water will be -6 L/min in the fish tank. which is the correct answer would be an option (A).
The given graph shows the linear relationship between the volume of water in the fish tank in liters and the time in minutes the tank has been draining.
To determine the rate of change in the volume of water in the fish tank
The rate of change in the volume of water is equal to the slope of the given linear function.
As per the given graph, we take two points (0, 60) and (10,0)
The slope of the linear function = (0 - 60) / (10 - 0)
The slope of the linear function = -60/10
The slope of the linear function = -6
Therefore, the rate of change in the volume of water will be -6 L/min in the fish tank.
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The question seems to be incomplete the correct question has been attached below.
Find the value of x.
please show work
Answer:
x = 126
Step-by-step explanation:
The angle indicated with 126° and the angle represented with (5y - 4) are alternate angles and their measures are equal so we can write the following equation to find the value of y:
5y - 4 = 126 add 4 to both sides
5y = 130 divide both sides by 5
y = 26
x and the angle indicated with 126 are also alternate angles so
x = 126
The angle represented with (5y - 4) are the angle represented with (6z + 6) are supplementary angles and their sum is equal to 180, we can write the following equation based on this information:
6z + 6 + 126 = 180 add like terms
6z + 132 = 180 subtract 132 from both sides
6z = 48 divide bot sides by 6
z = 8
2 ounces is how many grams? Hint: 1oz≈28.3g
Answer: 56.70 g
Step-by-step explanation:
Find the particular solution of d2y/d x2
+4.
dx/Dy
+4y= 2 cos²x
The solution to the equation are as follows.
y = c₁[tex]e^{\sqrt{-3 -sin²(x)x} }[/tex] + c₂ [tex]e^{\sqrt{-3 -sin²(x)x} }[/tex]
What is differential equation?
In arithmetic, a equation is associate equation that relates one or a lot of unknown functions and their derivatives.
Main body:
Find the first derivative.
dy/dx=r[tex]e^{rx}[/tex]
Find the second derivative.
d²y/dx² =r² [tex]e^{rx}[/tex]
Substitute into the differential equation.
r²[tex]e^{rx}[/tex]+4[tex]e^{rx}[/tex]=cos ²x
Factor [tex]e^{rx}[/tex]out of r²[tex]e^{rx}[/tex].
[tex]e^{rx}[/tex]r²+4[tex]e^{rx}[/tex]=cos²x
Factor [tex]e^{rx}[/tex] out of 4[tex]e^{rx}[/tex].
[tex]e^{rx}[/tex]r²+[tex]e^{rx}[/tex]⋅4=cos²x
Factor out of [tex]e^{rx}[/tex]r²+4[tex]e^{rx}[/tex]
[tex]e^{rx}[/tex](r²+4)=cos²x
Since exponentials can never be zero, divide both sides by
[tex]e^{rx}[/tex]r²+4=cos²x
Use the double-angle identity to transform
cos²x to 1−sin²(x).
r² +4=1−sin²(x)
Subtract 4 from both sides of the equation.
r²=1−sin²(x)−4
Simplify the right side.
r² = -3 -sin²x
r = √-3 -sin²x
By the principle of superposition, the general solution is a linear combination of the two solutions for a second order homogeneous linear differential equation.
y = c₁[tex]e^{\sqrt{-3 -sin²(x)x} }[/tex] + c₂
Hence the differential solution is as follows.
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The linear function m = 200 − 50v represents the amount m (in dollars) of money that you have after buying v video games. a. Interpret the terms and coefficient in the equation. b. Find the domain of the function. Is the domain discrete or continuous? Explain. c. Graph the function using its domain.
a. The function m = 200 - 50v is interpreted as
m = amount left
200 = amount available for buying video games
50 = cost per video game
v = number of video games
b. The domain of the function is 0 < v ≤ 4
the domain is discrete
c. explanation of the graph is below
How to fine the domain of the graphIn the graph, the input values is the number of video games, v while the output value is amount, m(in dollars) left for buying games.
The domain is controlled by the input values. considering the amount set out for games which is 200 we solve for v at zero amount
0 = 200 - 50v
50v = 500
v = 4
The maximum number of video games the amount can buy is 4. For the minimum we can not buy 0 video game but the graph can show amount available before buying the game.
The domain starts from 0, with 0 not inclusive to 4 with 4 included
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A varies jointly as b inversely as d. If A = 30, b= 6, and d = 3, find A when b=9, and d = 2.
If A varies jointly as b and inversely as d then value of A when b = 9 and d = 2 is 135/2.
What is proportionality?
If A is inversely proportional to B, this is expressed as:
A α 1/B
A = k 1/B
where k is the constant of proportionality.
According to the given question:
A varies jointly with b and inversely with d
[tex]A \alpha \frac{b}{d}[/tex]
A = k b/d where k is proportionality constant
If A = 30, b = 6 and d = 3, finding the value of k
30 = k 6/3
k = 15
Now to find A when b = 9 and d = 2, using value of k
A = 15 x 9/2
A = 135/2
Hence the value of A is 135/2.
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