Answer:
neither
Step-by-step explanation:
the coordinates are all different
Identify the errors made in the finding the inverse of y= x^2 +12x
X= y^2+12x
Y^2= x- 12x
Y^2 = -11x
Y=√11x, for x greater than or equal to 0
9514 1404 393
Answer:
y was not substituted for every x
Step-by-step explanation:
To find the inverse of ...
y = f(x)
you need to solve ...
x = f(y)
Here, f(x) = x^2 +12x, so f(y) = y^2 +12y
This is not the expression we see on the right of ...
x = y^2 +12x
Apparently y was not properly substituted into f(x).
find the area of the shaded region and choose the appropriate result.
Area of the larger square: (4 cm) * (4 cm) = 16 cm^2
Area of the smaller square: (2 cm) * (2 cm) = 4 cm^2
Area of the shaded region = difference between the two areas above, or 12 cm^2
please answer my question
Answer:
hope that will help youCan anyone help me with this, I’ll give out brainliest. NO LINKS.
Answer:
89.132 inch
Step-by-step explanation:
“this shape is made up of one half-circle attached to a square with side lengths 16 inches. You can use 3.14 as an approximation.”
so, the square has a perimeter of 16 inch, four sides that will be 64 inch
then the half circle rule of perimeter of half circle: πr + 2r
=> perimeter of semicircle = π * 8 +2 * 8 = 41.132 inch
without the bottom line of half circle= 41.132 -16 = 25.133 inch
So total 25.133 + 64 =89.132 inch
have a great day and nc question
23= 9w-8 / 3 + 5w-7/6
Answer:
w= 23/12
Step-by-step explanation:
1. Multiply the numbers.
23=9w-1*8/3+5w-1*7/6
23=9w-8/3+5w-1*7/6
2. Subtract the numbers.
23=9w-8/3+5w-7/6
23=9w-23/6+5w
3. Combine Like terms
23=9w-23/6+5w
23=14w-23/6
4. Add 23/6 to both sides of the equation.
23+23/6=14w-23/6=26/6
5. Simplify
161/6=14w
6. Divide both sides of the equation by the same term.
161/6=14w
161/6/14=14w/14
7. Simplify
w=23/12
Element X is a radioactive isotope such that every 13 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 60 grams, how much of the element would remain after 30 years, to the nearest whole number?
Answer:
12
Step-by-step explanation:
60(1/2)^30/13 = 12.118996
A farmer raises only cows and Sheep. He wants to raise no more than 16 animals, including no more than 12 sheep. He spends birr 5 to raise a cow and Br 2 to raise a sheep. He has Br 50 available for this purpose. Cows sell birr 100 and sheep birr 50. Required: How many of each animal should he raise to maximize profit? What is the maximum profit?
Answer:
1050 max profit
Step-by-step explanation:
cow 5brr 30br 600 × 6 cows 570
sheep 2brr 20br 500 ×10 sheeps 480
sheep&cows = 1050 max profit
Does anyone know multi step equation that equals 15?
Answer:
15 = 12 +3 or 5x = 4x + 3.
Hope that helps. x
-4x + 3y = -2
Y = x - 1
Answer:
(-1, -2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define
-4x + 3y = -2
y = x - 1
Step 2: Solve for x
Substitution
Substitute in y: -4x + 3(x - 1) = -2[Distributive Property] Distribute 3: -4x + 3x - 3 = -2Combine like terms: -x - 3 = -2[Addition Property of Equality] Add 3 on both sides: -x = 1[Division Property of Equality] Divide -1 on both sides: x = -1Step 3: Solve for y
Substitute in x [Original Equation]: y = -1 - 1Subtract: y = -2Complete the two-way frequency table.
Type of Fruit
Food
Vegetable
Total
Child
15.5%
44.4%
%
Age
Adult (18+)
28.9%
55.6%
%
Total
57.8%
%
%
The values in the missing places are 26, 52, 14, 40 and 50
What is a frequency table?A table drawn up to show the distribution of the frequency of occurrence of a given characteristic according to some specified set of class intervals.
Given is a frequency table with some missing places,
For every missing places, we just need to add or subtract from the total.
Types of food Age
child adult (18+) Total
Fruit 26 26 52
Vegetable 14 24 38
Total 40 50 90
First missing place = 50-24 = 26
Second missing place = 26+26 = 52
Third missing place = 38-24 = 14
Fourth missing place = 26+14 = 40
Fifth missing place = 90-40 = 50
Hence, The values in the missing places are 26, 52, 14, 40 and 50
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#9
Find the distance between the points A(13, 2) and B(7, 10).
The distance between the twd points is
I HOPE IT WILL HELP YOU.
Thank you.
\( \sf{ \boxed{ \bold{\red{d} = 10 \: units}}}\)
\( \\ \)
Explanation:The distance between two points is given by the following formula:
\( \sf{\red{d} = \sqrt{ ({\green{x_B} - \orange{x_A })}^{2} + {( \blue{y_B} - \pink{y_A}) }^{2} }}\)
\( \\ \)
Where:
\( \sf{ \implies \red{d} \: is \: the \: distance \: between \: the \: points.} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf{ \implies{(\orange{x_A} \: , \pink{y_A})} \: and \: ( \green{x_B} \: , \blue{y_B}) } \: are \: the \: coordinates \: of \: the \: points.\)
\( \\ \)
Let's replace the coordinates with their values:
\( \sf{\red{d} = \sqrt{ ({\green{7} - \orange{13})}^{2} + {( \blue{10} - \pink{2}) }^{2} }} \\ \\ \sf{ \Longleftrightarrow \: \red{d} = \sqrt{{( - 6)}^{2} + {8}^{2} }} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \Longleftrightarrow \sf{ \red{d} = \sqrt{36 + 64} = \sqrt{100} = \boxed{10}} \: \: \: \: \: \)
Therefore, the distance between the two points is 10 units.
\( \\ \\ \)
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solve this question 2√8+√8
A. 3√8
B.24
C.16√8
D.2√8
Answer:
Simplify each radical, then combine.
3√8
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
6 √ 2 = 3√8
please answer, will mark brinliest
Step-by-step explanation:
Total sections= 8
Yellow sections=2
So,
2/8
In second black write
1/4 ( by reducing 2/8)
hope it helps
look at attachment!!!!
Answer:
x = 5
Step-by-step explanation:
We know that BD = 2x - 1 and BC + CD = BD. Thus, we can set the sum of (x- 3) and 7 equal to 2x - 1 to find x:
BC + CD = BD
x - 3 + 7 = 2x - 1
x + 4 = 2x - 1
x + 5 = 2x
5 = x
Thus, x = 5
Checking the validity of our answer:
We can check that our answer is correct by plugging in 5 for x in x - 3 and 2x - 1 and checking that we get the same answer on both sides of the equation:
5 - 3 + 7 = 2(5) - 1
2 + 7 = 10 - 1
9 = 9
Thus, our answer is correct.
Write a function rule for
Answer:
x^2
Step-by-step explanation:
1^2=1
2^2=4
3^2=9
Val's whole-house central air conditioner uses 2,500 watts when running. Val runs the AC 5 hours per summer day. Electricity costs (12 cents)/(1 kilowatt-hour). How much does Val's AC cost to run for a summer month of 30 days?
The total cost to run Val’s AC costs for a summer month of 30 days will be $67.5.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Quantity of electricity used in kilowatts is;
1000 watts = 1 kilowatts
2,500 watts = 2.5 kilowatts
Given that Number of hours Val runs AC per day = 5 hours
Number of days = 30 days
Cost of electricity = $0.18 kilowatts per hour
The Cost of Val’s AC to run for a summer month of 30 days can be calculated as;
= Quantity of electricity used × Number of hours Val runs AC per day × Number of days × Cost of electricity
= 2.5 × 5 × 30 × 0.18
= $67.5
The total cost to run Val’s AC costs for a summer month of 30 days will be $67.5.
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Warning
There is a checkbox at the bottom of the exam form that you MUST check prior to submitting this exan
Question 1 (Multiple Choice Worth 2 points)
(Effects of Changes in Data MC)
The heights of 11 plants, in inches, are listed.
14, 15, 16, 16, 17, 17, 17, 18, 18, 19, 22
If another plant with a height of 14 inches is added to the data, how would the range be impacted?
The range of the data is the difference between the highest and lowest values, which is 8 inches. Adding another plant with a height of 14 inches would not change the range, so the range would remain 8 inches.
What is data?Data is a collection of facts, figures, or information that can be processed and used to draw conclusions or make decisions. It can be stored in a variety of formats, including numerical, text, images, audio, and video. Data can be collected from a variety of sources, such as surveys, observations, experiments, or transactions. It can be used to inform decisions in areas such as business, health care, education, and research. Data can be analyzed to gain insight, develop strategies, identify trends, and make predictions. Data is a valuable resource and is increasingly important in today's digital age.
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I will mark you Bl!!!
Marco wants to know how much the other students in his mathematics class study. He recorded the data he collected in
the following table.
Time spent studying per week (in hours)
2.0
5.0
1.0
2.5
2.5
3.5
0.0
4.5
2.5
4.0
3.5
3.0
2.0
1.5
4.0
2.0
0.5
3.0
1.0
3.0
3.5
1.5
1. Construct a histogram for the data.
Answer:
Step-by-step explanation:
This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.
What is 18. 9 - 5. 04?
2x-1=y
3x-1=y
Consider the system of equations above. Which of the following statements about this system is true?
Answer:
B; There is only one (x,y) solution and y is negative
Step-by-step explanation:
First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.
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Have a GREAT day!!!
In the number below, the underlined number represents how much more than the place value two spaces to its right?
1.4263
A
1000 times
B
100 times
С
10 times
D
2 times
Answer:
four two six three this is answer
The vertex form of a function is g(x) = (x - 3)2 + 9. How does the graph of g(x) compare to the graph of the function
Rx) = x2?
O g(x) is shifted 3 units left and 9 units up.
g(x) is shifted 3 units right and 9 units up.
O g(x) is shifted 9 units left and 3 units down.
O g(x) is shifted 9 units right and 3 units down.
Answer:
Its the second choice.
Step-by-step explanation:
g(x) = (x - 3)^2 + 9
The -3 in the parentheses moves the graph of x^2 3 units to the right.
The + 9 moves it upwards 9 units.
Circle A, shown, has diameter DE. The following angle measures are known: m/EAF 30°. m/FDB= 20°, and m/CDE = 40°. Using theorems, find the arc and angle measures indicated.
The arcs and angle measures are given as:
mCD= 100°m<CFD= 50°m<EBD = 90°m<EDB = 15°m<DEB = 55°How to find the arcThe first step is to find the angles inside the circle.
[See attached image]
If c is center
Therefore, mCD = <CAD
<CAD = 180° -40° - 40°
mCD = <CAD = 100°
<CFD = 50°
This is explained in the image below
<EBD = 90°
<EDF = 15°
<EDB = 15° + 20° = 35°
This is <EDF + <EDB as each is 15° and 20° respectively.
Therefore, <EDB = 180° -35° - 90°
Recall <EDB = 35°
<DBE = 90°
Thus, <DEB = 55°
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Which proportion could be used to determine if the figure ms represent a dilation
Step-by-step explanation:
Three-halves = 4 = 6
HOPE SO IT HELP'S YOU
the population of a town grows at a rate proportional to the population present at time t. the initial population of 500 increases by 15% in 10 years. what will be the pop ulation in 30 years? how fast is the population growing at t 30?
Using the differential equation, the population after 30 years is 760.44.
What is meant by differential equation?In mathematics, a differential equation is a relationship between the derivatives of one or more unknown functions. Applications frequently involve a function that represents a physical quantity, derivatives that show the rates at a differential equation that forms a relationship between the three, and a function that represents how those values change.A differential equation is one that has one or more functions and their derivatives. The derivatives of a function define how quickly it changes at a given location. It is frequently used in disciplines including physics, engineering, biology, and others.The population P after t years obeys the differential equation:
dP / dt = kPWhere P(0) = 500 is the initial condition and k is a positive constant.
∫ 1/P dP = ∫ kdtln |P| = kt + C|P| = e^ce^ktUsing P(0) = 500 gives 500 = Ae⁰.
A = 500.Thus, P = 500e^ktFurthermore,
P(10) = 500 × 115% = 575sO575 = 500e^10ke^10k = 1.1510 k = ln (1.15)k = In(1.15)/10 ≈ 0.0140Therefore, P = 500e^0.014t.The population after 30 years is:
P = 500e^0.014(30) = 760.44Therefore, using the differential equation, the population after 30 years is 760.44.
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Midpoint of (-1,-6) and (-7,-2)
Answer:
(-4, -4).
Step-by-step explanation:
In order to calculate the midpoint coordinates, we need to calculate the mean value of the x-coordinates and the mean value of the y-coordinates.
So we have:
M(x)=(-1+(-7))/(2)=(-8)/(2)=-4
M(y)=(-6+(-2))/(2)=(-8)/(2)=-4
Therefore the midpoint coordinates are (-4, -4).
Determine the length of x in the triangle. Give your answer to two decimal places. Show the steps, please.
Answer:
35.09 units
Step-by-step explanation:
This is a right-angled triangle where:
Hypotenuse = x units
With respect to angle 20°:
Opposite = 12 units
Use trigonometric function sinФ to solve for x:
sinФ = \(\frac{Opposite}{Hypotenuse}\)
∴sin20° = \(\frac{12}{x}\)
Cross-multiplication is applied:
\((x)(sin20) = 12\)
x has to be isolated and made the subject of the equation:
∴\(x = \frac{12}{sin20}\)
x = 35.09 units (Rounded to 2 decimal places)
Answer:
The length of x is 35.09 units to two decimal places.
Step-by-step explanation:
In the given right triangle, we have been given the length of the side opposite the angle and need to find the length of the hypotenuse.
To find the value of x, use the sine trigonometric ratio.
\(\boxed{\begin{minipage}{9 cm}\underline{Sine trigonometric ratio} \\\\$\sf \sin(\theta)=\dfrac{O}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)
Substitute θ = 20°, O = 12 and H = x into the ratio and solve for x:
\(\implies \sin 20^{\circ}=\dfrac{12}{x}\)
\(\implies x=\dfrac{12}{\sin 20^{\circ}}\)
\(\implies x=35.085652...\)
\(\implies x=35.09\; \sf (2\;d.p.)\)
Therefore, the length of x is 35.09 units to two decimal places.
Six adult tickets to a movie at the theater cost
$52.50. Find the price for one ticket.
Answer:
$8.75
Step-by-step explanation:
The total cost is $52.50. And you got eight "items". So you would do $52.50 divided by 8. This would give you the cost of one item/ticket
Olivia collect square pieces of cloth to make a quilt. She keeps the square pieces of cloth in a craft box. She has 18 purple squares ,34 green squares, 14 white squares, 26 blue squares, and 8 black squares. She selects one square at random and returns it to the craft box then she selects a second Square, at random what is the probability that the first Square selected is white and the second Square select it is purple
Answer:
\(P(White\ and\ Purple) = 2.52\%\)
Step-by-step explanation:
Given
\(Purple = 18\) \(Green = 34\) \(White = 14\)
\(Blue = 26\) \(Black = 8\)
Required
Probability of first selecting white and then selecting purple
The total boxes is:
\(Total = 18+34+14+26+8\)
\(Total = 100\)
The probability is represented as:
\(P(White\ and\ Purple)\)
And the solution is:
\(P(White\ and\ Purple) = P(White) * P(Purple)\)
\(P(White\ and\ Purple) = \frac{n(White)}{Total} * \frac{n(Purple)}{Total}\)
\(P(White\ and\ Purple) = \frac{14}{100} * \frac{18}{100}\)
\(P(White\ and\ Purple) = \frac{14*18}{100*100}\)
\(P(White\ and\ Purple) = \frac{252}{10000}\)
\(P(White\ and\ Purple) = 0.0252\)
or
\(P(White\ and\ Purple) = 2.52\%\)