What is f-1(-3)?
N f(x)
-6
-3
-3
-1
0
1
3
3
6
5
Answers
Related Questions
Use the following information to find the center of curvature for the curve at the given point. Let C be a curve given by y = f(x). Let K be the curvature (K 0) at the point P(x_0, y_0) and let z = 1 + f'(x_0)^2/f"(x_0). The coordinates (alpha, beta) of the center of the curvature at P are (alpha, beta) = (x_0 - f'(x_0)z, y_0 + z). y = e^x, (0, 1) (x, y) = () y = x^2/2, (1, 1/2) (x, y) = () y = x^2, (0, 0) (x, y) = ()
Answers
On solving the provided question, we can say that - => K not equal to 0 at x= 0 and so, center of curvature exists.
What is center of curvature?In geometry, a curve's center of curvature is located at a point that is offset from the curve by an amount equal to the radius of curvature that lies on the normal vector. zero-curvature point at infinity. The center of the curve serves as the osculating circle. The sphere holding the spherical mirror's center serves as its center of curvature. A "C" is used to symbolize this. the center of a circle with a radius equal to the radius of curvature of a particular point on the curve, whose center is on the concave side of the curve and which is normal to that point.
The curvature K at the point (x,y) is given by if C is a graph of the twice differentiable function y = f(x)y=f(x).
\(K = \frac{|y^{''}|}{[1 + (y')^2 ]^{3/2}}\)
Curvature of the given curve at x=0x=0 is
=> K not equal to 0 at x= 0
so,
center of curvature exists.
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Math item stem image
does this figure have symmetry
Answers
Answer: yes
Step-by-step explanation:
Sub :- Linear Equations
Answers
Hiiiiiiiiiiiii
The value of x is 1 & y is 2 (a).
Steps are attached.
______
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
use point slope form to write the equation of a line that passes through the point (17,-7) with slope - 1/2
Answers
Answer:
y + 7 = -1/2 ( x - 17)
Step-by-step explanation:
y-y₁=m(x-x₁)
\(x_{1\\} = 17\)
\(y_{1}\) = -7
y - (-7) = -1/2(x - 17)
y + 7 = -1/2(x -17)
Which of the following terms describes the measure indicated by the black
arrow below?
A. Range
O B. Mean
OC. Minimum
O D. Median
Plzzzz help
Answers
An executive of Trident Communications recently traveled to London, Paris, and Rome. He paid $180, $230, and
$160 per night for lodging in London, Paris, and Rome, respectively, and his hotel bills totaled $2660. He spent $110,
$120, and $90 per day for his meals in London, Paris, and Rome, respectively, and his expenses for meals totaled
$1520. If he spent as many days in London as he did in Paris and Rome combined, how many days did he stay in
each city? (4 marks)
Answers
The executive stayed in London for 10 days, in Paris for 6 days, and in Rome for 4 days.
The number of days in each cityLet x be the number of days the executive stayed in London, y be the number of days he stayed in Paris, and z be the number of days he stayed in Rome.
We can set up the following equations to represent the given information:
180x + 230y + 160z = 2660 (hotel bills)
110x + 120y + 90z = 1520 (meal expenses)
x = y + z (he spent as many days in London as he did in Paris and Rome combined)
We can rearrange the third equation to get y + z - x = 0 and substitute it into the first two equations to eliminate x:
180x + 230y + 160z = 2660
110x + 120y + 90z = 1520
-180y - 180z + 180x = 0
Adding the first and third equations gives us:
360x + 50y - 20z = 2660
Adding the second and third equations gives us: 290x - 60y - 90z = 1520
We can now solve for x by multiplying the first equation by 3 and the second equation by 5 and subtracting them:
1080x + 150y - 60z = 7980
-1450x + 300y + 450z = 7600
----------------------------------
1630x - 150y - 510z = 380
Solving for x gives us:
x = (150y + 510z + 380) / 1630
Substituting this back into the third equation gives us:
y + z - (150y + 510z + 380) / 1630 = 0
Multiplying by 1630 and rearranging gives us:
1480y + 490z = 380
We can now solve for y by multiplying the first equation by 490 and the second equation by 50 and subtracting them:
490(360x + 50y - 20z) = 490(2660)
50(290x - 60y - 90z) = 50(1520)
---------------------------------------------------
19600x + 24500y - 9800z = 1303400
-14500x + 3000y + 4500z = 76000 --------------------------------------------------
4100x - 21500y - 14300z = 1227400
Solving for y gives us:
y = (4100x + 14300z - 1227400) / 21500
Substituting this back into the equation 1480y + 490z = 380 gives us:
1480(4100x + 14300z - 1227400) / 21500 + 490z = 380
Multiplying by 21500 and rearranging gives us:
606800x + 2054200z - 1817320000 = 0
Solving for z gives us:
z = (1817320000 - 606800x) / 2054200
Substituting this back into the equation x = y + z gives us:
x = y + (1817320000 - 606800x) / 2054200
Multiplying by 2054200 and rearranging gives us: 606800x^2 - 2054200xy - 2054200x + 1817320000y + 3707618640000 = 0
Using the quadratic formula, we can find the value of x:
x = (2054200y + 2054200 ± √[(2054200y + 2054200)^2 - 4(606800)(1817320000y + 3707618640000)]) / (2*606800)
Plugging in the value of y from earlier gives us:
x = (2054200(4100x + 14300z - 1227400) / 21500 + 2054200 ± √[(2054200(4100x + 14300z - 1227400) / 21500 + 2054200)^2 - 4(606800)(1817320000(4100x + 14300z - 1227400) / 21500 + 3707618640000)]) / (2*606800)
Simplifying and solving for x gives us:
x = 10
Substituting this back into the equation x = y + z gives us:
10 = y + z
Substituting this back into the equation 1480y + 490z = 380 gives us:
1480y + 490(10 - y) = 380
Solving for y gives us:
y = 6
Substituting this back into the equation 10 = y + z gives us: 10 = 6 + z
Solving for z gives us:
z = 4
Therefore, the executive stayed in London for 10 days, in Paris for 6 days, and in Rome for 4 days.
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30 POINTS PLEASE HELP THIS IS DUE TMRRRR
Jane and Tony were given the following expression: -2 (3x - y)^2. Jane translated it to say" the product of -2 and the difference
between three times a number and a number squared". Tony translated it to say "-2 times the difference of three times a number and the
square of a different number".
1. Whose translation is correct?
Answers
Answer:
I think Tony would be right, I THINK!!
blem Sets Questions
e the questions below. Show your work.
1. Mike and Juan are going on a road trip for graduation. Together they have $300 dollars to spend on a
rental car. If the company charges a flat fee of $50 plus $0.75 a mile, how many miles can they travel
and still be within their budget?
Answers
Answer:
333.33 miles
Step-by-step explanation:
Let x be the number of miles Mike and Juan drive.
They only have $300, however, so let's set an equation that will tell us how many miles, x, does it take to result in a total bill of $300. The mileage fee will be ($0.75/mile)*(x miles driven). Start with the $300 and subtract both the fixed fee of $50 and the mileage fee of 0.75x and set the result to zero, the point at which they spend $300.
$300 - $50 - ($0.75)x = 0
$250 - ($0.75)x = 0
- ($0.75)x = -$250
x = -($250)/(-$0.75)
x = 333.33 miles
CHECK:
Would Mike and Juan spend $300 on the rental car if they drove 333.33 miles?
Rental Fee: $50
Mileage: ($0.75/mile)*(333.333 miles) = $250
Total Cost: $300 YES
Nothing left for burgers,
Volume of a cube (cm') = width (cm) x height (cm) x length (cm). 1.1) Using the equation above, determine the volume of a cube that measures 3 cm wide, 3 cm tall, and 3 cm long. 1.2) Let's say this cube is made out of ice and has a mass of 24.76 grams (g). What is this ice cube's density? 1.3) The density of liquid water is slightly higher than that of frozen water ice. Liquid water's density at standard pressures and temperatures is 1.00 grams per cubic centimeter (g/cm'). Given that density, what is the mass of a cube of water measuring 3 cm wide, 3 cm tall, and 3 cm long? 1.4) Compare the weight of the water you calculated in question 1.3 with the weight of the ice of the same volume given in question 1.2. Which is heavier, the liquid water or the ice? Notice that the cube of water is the same size (or volume) as the cube of ice. 1.5) You know that ice floats on water. Explain why.
Answers
1.1) The volume of the cube is 27 cubic centimeters. 1.2)the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).
1.3) the mass of the water cube is 27 grams. 1.4) the weight of the water and the ice would be the same under the same conditions. 1.5)In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.
1.1) The volume of the cube can be calculated using the equation: Volume = width x height x length. In this case, the cube measures 3 cm wide, 3 cm tall, and 3 cm long, so the volume is:
Volume = 3 cm x 3 cm x 3 cm = 27 cm³.
Therefore, the volume of the cube is 27 cubic centimeters.
1.2) Density is defined as mass divided by volume. The mass of the ice cube is given as 24.76 grams, and we already determined the volume to be 27 cm³. Therefore, the density of the ice cube is:
Density = Mass / Volume = 24.76 g / 27 cm³ ≈ 0.917 g/cm³.
Therefore, the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).
1.3) The volume of the water cube is the same as the ice cube, which is 27 cm³. Given the density of liquid water as 1.00 g/cm³, we can calculate the mass of the water cube using the equation:
Mass = Density x Volume = 1.00 g/cm³ x 27 cm³ = 27 grams.
Therefore, the mass of the water cube is 27 grams.
1.4) The weight of an object depends on both its mass and the acceleration due to gravity. Since the volume of the water cube and the ice cube is the same (27 cm³), and the mass of the water cube (27 grams) is equal to the mass of the ice cube (24.76 grams), their weights would also be equal when measured in the same gravitational field.
Therefore, the weight of the water and the ice would be the same under the same conditions.
1.5) Ice floats on water because it is less dense than liquid water. The density of ice is lower than the density of water because the water molecules in the solid ice are arranged in a specific lattice structure with open spaces. This arrangement causes ice to have a lower density compared to liquid water, where the molecules are closer together.
When ice is placed in water, the denser water molecules exert an upward buoyant force on the less dense ice, causing it to float. The buoyant force is the result of the pressure difference between the top and bottom surfaces of the submerged object.
In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.
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PLEASE ANSWER THIS
imagine is above
Figure 3 shows the electronic structure of an atom.
Figure 3
Electron
Nucleus
RON
This element is in the shaded group on Figure 2.
Why is this element unreactive?
Answers
Answer:
huh looks simple....it's unreactive because it's already stable
Step-by-step explanation:
it has eight electrons in the outer most energy level making it stable so it doesn't need to loose or gain electrons
Which of the following could be an example of a function with a domain
(-∞0,00) and a range (-∞,4)? Check all that apply.
A. V = -(0.25)* - 4
-
□ B. V = − (0.25)*+4
c. V = (3)* +4
□ D. V = − (3)* — 4
-
Answers
The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4
A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.
From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.
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How much greater is the sum of the first 50 counting numbers greater than the sum of the first 100 counting numbers?.
Answers
The difference between the sum of the first 50 counting numbers and the sum of the first 100 counting numbers is 3775.
Here we have to find the difference between the first 50 counting numbers and first 100 counting numbers.
Formula to find the sum of the number n is:
\(S_{n}\) = n/2( 2a + (n-1)d)
a = first number of the series
d = common difference
n = number of series
Sum of first 50 counting numbers:
\(S_{50}\) = 50/2( 2× 1 + (50-1) 1)
= 25 × 51
= 1275
Sum of first 100 counting numbers:
\(S_{100}\) = 100/2 ( 2×1 + (100- 1) 1)
= 50 × 101
= 5050
Now the difference between them:
\(S_{100}\) - \(S_{50}\) = 5050 - 1275
= 3775
Therefore the difference is 3775.
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Find the geometric mean between each pair of numbers.
3√7 and 6√7
Answers
The geometric mean—also known as the compounded annual growth rate—is used to determine average growth rates.
What is meant by geometric mean?The Geometric Mean (GM) in mathematics is the average value or mean that represents the centre tendency of the group of numbers by calculating the product of their values. Basically, n is the entire amount of data values, and we multiply the numbers collectively before taking their nth root.
The geometric mean is a calculation that averages all values and determines the number's root. You must determine the nth root of the product of each integer in a set of n numbers. To summarise your data, utilise this descriptive statistic.
In finance, the geometric mean—also known as the compounded annual growth rate—is used to determine average growth rates.
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The weekly incomes follow the normal probability distribution, with a mean of $1,000 and standard deviation of $100. What is the area under this normal curve (probability) between $840 and $1,200?
Answers
Answer:
0.922
Step-by-step explanation:
→ State the distribution
X ~ N ( 1000 , 100² )
→ State the required probability
p ( 840 < x < 1200)
→ Enter upper bound as 1200 and lower as 840 on the normal cumulative distribution
0.922
Question below in image
Answers
Answer:
m∠92°Step-by-step explanation:
m∠e = m∠a ( Corresponding Angles)
The scatter plot and line of best fit below show the length of 11 people's femur (the long leg bone in the thigh) and their height in centimeters. What does the point (51,180.5)(51,180.5) represent?
Answers
The scatter plot is solved and point P (51,180.5) represents an expected height of 180.5 cm , when the femur has a length of 51 cm
Given data ,
Let the scatter plot be represented as A
Now , the value of A is
The x-axis represents the femur length ( in cm )
And , the y-axis represents the actual height of the person ( in cm )
Now , let the point be P ( 51 , 180.5 )
where it represents an expected height of 180.5 cm , when the femur has a length of 51 cm
Hence , the scatter plot is solved
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Harsh bought a stock of Media Ltd. on March 1, 2019 at Rs. 290.9. He sold the stock on March 15,2020 at Rs. 280.35 after receiving a dividend 1 po of Rs. 30 on the same day. Calculate the return he realized from holding the stock for the given period. a. −7.11% b. 7.11% c. 12.94% d. −12.94%
Answers
the return Harsh realized from holding the stock for the given period is approximately 6.69%
To calculate the return realized from holding the stock for the given period, we need to consider both the capital gain/loss and the dividend received.
First, let's calculate the capital gain/loss:
Initial purchase price = Rs. 290.9
Selling price = Rs. 280.35
Capital gain/loss = Selling price - Purchase price = 280.35 - 290.9 = -10.55
Next, let's calculate the dividend:
Dividend received = Rs. 30
To calculate the return, we need to consider the total gain/loss (capital gain/loss + dividend) and divide it by the initial investment:
Total gain/loss = Capital gain/loss + Dividend = -10.55 + 30 = 19.45
Return = (Total gain/loss / Initial investment) * 100
Return = (19.45 / 290.9) * 100 ≈ 6.69%
So, the return Harsh realized from holding the stock for the given period is approximately 6.69%. None of the provided options matches this value, so the correct answer is not among the options given.
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Find two consecutive even integers such that six times the lesser added to the greater gives
a sum of 86
Answers
Consider this triangle.
Answers
use sin
sin(50) = x/6
sin(50) x 6 = x
x = ~4.5963
What is the unknown angle measure in an equilateral triangle that has two angles of 60 degrees each?
Answers
Answer:
The third side will also be 60 as it is an equilateral triangle
Complete the latter: 1, 5, 9, 13.
Answers
Answer:
17
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
The answer is 17 because We noticed that 5 is 4 more than 1, 9 is 4 more than 5, and 13 is 4 more than 9. They are all a +4 pattern so you just simply add 4 to 13 which is 13 + 4 + 17 So our answer is 17
In a quasi-static isobaric expansion, 500 j of work are done by the gas. if the gas pressure is 0.80 atm, what is the fractional increase in the volume of the gas, assuming it was originally at 20.0 l?
Answers
The value of the fractional change of volume is equal to 0.308.
An isobaric process is one type of thermodynamic process in which the system's pressure stays the same: ΔP = 0. The system's internal energy (U) is also altered as a result of the heat transfer. The work in this article is represented by the physics sign convention, with positive work representing the system's work.
Volume of gas :
The volume of a gas is defined as the space occupied by gas particles under standard conditions of temperature and pressure. Designated by the letter "V". The SI unit of volume is the "liter" and is denoted by the letter "l". The volume of one mole of gas is 24 m3 or 24,000 cm3 at room temperature. This value is known as the molar volume of a gas.
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What are the next 2 numbers in the sequence? *
8, 16, 24, ...
28, 32
30,36
32, 40
48,96
Answers
Answer:
5
Step-by-step explanation:
Trey is running for president of the chess club, and he received 8 votes. There are 80 members in the club. What percentage of the club members voted for Trey?
Answers
Answer:10
Step-by-step explanation:
8/80=1/10*100=10
Find the value of 15/4 / 58. show your reasoning
Answers
Answer:
6Step-by-step explanation:
15/4 divided by 5/8
15/4 : 5/8 =
15/4 * 8/5 =
3 * 2 =
6
Answer:
6.
Step-by-step explanation:
15/4 / 5/8
Invert the second fraction and multiply
= 15/4 * 8/5
= (15*8) / (4*5)
= 120/20
= 6.
Last year's average score on a high school exit exam was 500 with a standard deviation of 100. Mathie scored a 410; what % of students scored lower than Mathie?
Answers
Based on the provided informations, the percentage of students scored lower than Mathie is calculated to be 18.41%.
To find the percentage of students who scored lower than Mathie, we need to convert Mathie's score to a standard score (also known as z-score) and then find the area under the normal distribution curve to the left of Mathie's standard score.
The formula for calculating the z-score is:
z = (x - μ) / σ
where x is Mathie's score, μ is the population mean, and σ is the population standard deviation.
Substituting the given values, we get:
z = (410 - 500) / 100 = -0.9
Using a standard normal distribution table or calculator, we can find that the area under the curve to the left of z = -0.9 is approximately 0.1841.
Therefore, approximately 18.41% of students scored lower than Mathie.
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Ethan measures its circumference as 17.2 cm and its volume as 210 cubic
centimeters. Find the height of the cup in centimeters.
Answers
The height of the cup is approximately 7.64 cm.
Let's begin with some basic geometry. The circumference of a circle is the distance around its edge, and is given by the formula C = 2πr, where r is the radius of the circle.
C = 2πr
17.2 = 2πr
r = 17.2 / 2π
r ≈ 2.74
Now that we know the radius of the cup, we can use the formula for the volume of a cylinder to find its height. The volume of a cylinder is given by the formula V = πr²h, where h is the height of the cylinder.
V = πr²h
210 = π(2.74)²h
h ≈ 7.64
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Small roads with lower speed limits are known as:
O A. interstate highways.
O B. secondary roads.
C. streets
O D. county roads.
Answers
Answer:
B. secondary roads
Step-by-step explanation:
While all of streets, county roads, and secondary roads are generally designed to carry less traffic and/or have lower speed limits than interstate highways, the generic name for such roads is ...
secondary roads.
Sherry's age is nine less than six times Fred's age. Write an equation and find Sherry's
age if Fred is 10 years old.
Answers
Javier works 2 2/5 hours on Monday and 3 hours on Tuesday. His pay rate is $10.25 per hour. How much will be paid, in dollars for working on Monday and Tuesday?
Answers
Answer:
20 dollers and 50 cents