Answer:
To find the inverse, interchange the variables and solve for y.
f−1(x)=√x+2−8,−√x+2−8
X * Y = -4
X + Y = 3
A student sets up the following equation to convert a measurement. (The ? stands for a number the student is going to calculate.) Fill in the missing part of this equation. (−7.0×104 s2g⋅m2)⋅ΠΠ=? s2kg⋅m2
The missing part of the equation is \(-7.0\times10^4 s^2kg⋅m^2 / 1000000.\)
What is the value of the missing part in the equation?To fill in the missing part of the equation, let's analyze the given information and the desired conversion. The equation is:
\((-7.0\times 10^4 s^2g⋅m^2)\cdot \pi = ? s^2kg\cdot m^2\)
In this equation, we have a quantity expressed in\(s^2g\cdot m^2\) units on the left-hand side. To convert it to \(s^2kg\cdot m^2\) units, we need to multiply it by a conversion factor.
To perform the conversion, we can use the fact that 1 kg is equal to 1000 g. Therefore, the conversion factor we need is:
1 kg / 1000 g
To ensure that the units cancel out correctly, we need to square this conversion factor because we have \(s^2g\cdot m^2\) on the left-hand side. So the missing part of the equation is:
\((-7.0\times 10^4 s^2g\cdot m^2)\cdot \pi = (-7.0\times 10^4 s^2g\cdot m^2)\cdot (1 kg / 1000 g)^2\)
Simplifying this expression, we get:
\((-7.0\times10^4 s^2g\cdot m^2)\cdot \pi = -7.0 \times10^4 s^2kg\cdot m^2 / 1000000\)
Therefore, the missing part of the equation is \(-7.0 \times 10^4 s^2kg\cdot m^2 / 1000000.\)
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please need help fast
Jackson is an airline pilot. During a one-hour flight, his airplane burns 60 gallons of fuel each minute. If the amount of fuel remaining in the tank over the course of the flight was represented by a graph in the coordinate plane, will the slope of the line be positive, zero, or negative? Explain how you came to your conclusions.
Answer: 0
Step-by-step explanation: Because it is a 1 hour flight (also equivalent to 60 minutes) and there is 60 gallons of fuel and it burns 1 gallon per minute, by the end of the flight there'd be 0 gallons left if 1 gallon was subtracted every minute.
Write three more equations for 1ị that are all true and all different. Use only fractions with a denominator of 3 in your equations. 1 2/3 =1 2/3 =1 2/3 =
That we added a real number (2/3) and subtracted a real number (3), but the imaginary part of the result is still (5/3)i.
First, let me clarify what 1ị represents. In mathematics, the imaginary unit i is defined as the square root of -1. Therefore, 1ị means 1 times the imaginary unit i.
To write three more equations for 1ị that are all true and all different, we can use the fact that i satisfies the equation i^2 = -1. We can also use the fact that any multiple of i, such as 2i, 3i, and so on, is also an imaginary number. Finally, we can use the fact that adding or subtracting real numbers to or from an imaginary number does not affect the imaginary part of the number.
Here are three possible equations for 1ị:
(2 + 1/3)i = 1ị + 2i
Explanation: We can add 2 times the imaginary unit i to 1 times the imaginary unit i to get 3 times the imaginary unit i, which is equal to (2 + 1/3) times the imaginary unit i.
(-1/3)i = 1ị - 4/3i
Explanation: We can subtract 4/3 times the imaginary unit i from 1 times the imaginary unit i to get -1/3 times the imaginary unit i.
(5/3)i = 1ị + 2/3 + 3i - 3
Explanation: We can add 2/3 and 3i - 3 to 1 times the imaginary unit i to get (5/3) times the imaginary unit i. Notice that we added a real number (2/3) and subtracted a real number (3), but the imaginary part of the result is still (5/3)i.
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What nominal interest rate compounded monthly is equivalent to
2.50% compounded quarterly? Round to two decimal places
Rounding this to two decimal places, the equivalent nominal interest rate compounded monthly is approximately 2.53%.
To determine the equivalent nominal interest rate compounded monthly for a given nominal interest rate compounded quarterly, we can use the formula for nominal interest rate conversion.
The formula is:
r = (1 + i/n)^n - 1
Where:
r is the nominal interest rate compounded annually (we're looking for this),
i is the nominal interest rate compounded quarterly (2.50% in this case),
n is the number of compounding periods per year (4 for quarterly compounding).
Plugging in the values, we have:
r = (1 + 0.025/4)^4 - 1
Calculating this expression, we find:
r ≈ 0.025335
Rounding this to two decimal places, the equivalent nominal interest rate compounded monthly is approximately 2.53%.
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two cards are selected in a sequence from a standard deck. what is the probability that the second card is a jack given that the first card was a 2. (assume the 2 was not replaced.)
The probability that the second card is a jack given that the first card was a 2 is 52/51.
To calculate the probability that the second card is a jack given that the first card was a 2, we need to consider the remaining cards in the deck after the first card is drawn.
When the first card is drawn and it is a 2, there are 51 cards remaining in the deck, out of which there are 4 jacks.
The probability of drawing a jack as the second card, given that the first card was a 2, can be calculated using conditional probability:
P(Second card is a jack | First card is a 2) = P(Second card is a jack and First card is a 2) / P(First card is a 2)
Since the first card is already known to be a 2, the probability of the second card being a jack and the first card being a 2 is simply the probability of drawing a jack from the remaining 51 cards, which is 4/51.
The probability of the first card being a 2 is simply the probability of drawing a 2 from the initial deck, which is 4/52.
P(Second card is a jack | First card is a 2) = (4/51) / (4/52)
Simplifying the expression:
P(Second card is a jack | First card is a 2) = (4/51) * (52/4)
P(Second card is a jack | First card is a 2) = 52/51
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PLEASE HELP!! ITS TIMED! WILL GIVE BRAINIEST TO THE FIRST CORRECT ANSWER!
Elijah bought earrings to give to his mother for her birthday. The earrings are in a case
shaped like a rectangular prism that is 2 inches long, 1½ inches wide, and 1 inches tall. He
doesn't want his mother to guess what the gift is, so he put the case in a larger, cube-shaped
gift box. The gift box is 4 inches along each edge.
What is the volume of the extra space left in the gift?
Answer:
The answer is 59 ½
Step-by-step explanation:
4×4×4-2×1 ½×1 ½
= 64 - 2× 3/2 × 3/2
= 64 - 9/2
= 128/2 - 9/2
= 119/2
= 59 ½ in3
Hope this helped :)
How to find the length of diagonal of a rhombus?
Using the Pythagoras theorem, the length of the unknown diagonal of the rhombus can be calculated
The diagonals of a rhombus are line segments drawn between opposite vertices of the rhombus. The properties of the diagonals of a rhombus are listed below.
The diagonals of a rhombus bisect each other at right angles.
The diagonals of a rhombus may not be equal.
Two diagonals divide the rhombus into four congruent right triangles.
The length of the diagonals can be calculated by various methods, such as the Pythagorean theorem or the area of a rhombus.
Example 1: Find the length of the diagonal of a rhombus if the area is 54 units2, and one diagonal is 6 units.
The area of the rhombus = 54 square units; one diagonal (q) = 6 units
We will use the formula for the diagonal of rhombus, p = (2 × Area)/q, where 'p' and 'q' are the two diagonals of the rhombus. Substituting the values, p = (2 × 54)/6 = 18 units.
Answer: Therefore, the length of the unknown diagonal is 18 units.
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In a large city, taxicabs charge $1.00 for the first mile and $0.30 for each additional mile. Frank has only $3.50. What is the maximum
distance he can travel (not including a tip for the cabbie)?
The maximum distance Frank can travel would be 10 miles.
What is maximum distance?
For maximum distance that is maximum range of a projectile, the angle of projectile should be 45°.
From given question,
taxicabs charge for first mile = $1.00
for each additional mile = $0.30
The cost for the first mile is $1, and for each additional mile it's $0.30, so for 10 miles it would be $1 + 9 * $0.30 = $4.70. Since Frank has only $3.50, he can travel a maximum of 10 miles.
Therefore, The maximum distance Frank can travel would be 10 miles.
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If using the method of completing the square to solve the quadratic equation
x2 + 7x + 10 = 0, which number would have to be added to "complete the
square"?
Answer:
x² + 7x + 10 = 0
Subtract 10 from both sides
x² + 7x = -10
Use half the x coefficent (7/2) as the complete the square term
(x + 7/2)² = -10 + (7/2)²
note: the number added to "complete the square" is (7/2)² = 49/4
(x + 7/2)² = -10 + 49/4
(x + 7/2)² = 9/4
Take the square root of both sides
x + 7/2 = ±3/2
Subtract 7/2 from both sides
x = -7/2 ± 3/2
x = {-5, -2}
5
48. Write an equation for the area A
of the figure shown, where x>0.
Then find the area when x= 3.
4.8x
When x=3, the area of the figure is 63 square units.
The equation for the area A of the figure shown can be found by dividing the figure into two parts: a rectangle and a triangle. The base of the triangle is x and the height is 2x. Therefore, the area of the triangle is (1/2)(base)(height) = (1/2)(x)(2x) = x^2. The area of the rectangle is (base)(height) = (3x)(2x) = 6x^2. So, the equation for the area of the figure is:
A = x^2 + 6x^2 = 7x^2
When x=3, we can substitute it into the equation to find the area:
A = 7(3^2) = 7(9) = 63 square units
To explain further, the given figure can be divided into two parts: a rectangle with base 3x and height 2x, and a right triangle with base x and height 2x.
The area of the rectangle is given by the formula A = (base)(height) = (3x)(2x) = 6x^2.
The area of the triangle is given by the formula A = (1/2)(base)(height) = (1/2)(x)(2x) = x^2.
Adding the areas of the rectangle and triangle gives the total area of the figure, which is A = 6x^2 + x^2 = 7x^2.
Substituting x=3 into this equation gives A = 7(3^2) = 63 square units.
Therefore, when x=3, the area of the figure is 63 square units.
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This composite figure is created by placing a sector of a circle on a triangle. What is the area of this
composite figure? Use 3.14 for . Round to the nearest hundredth. Show your work
As a result, the answer to the following question, When we round to the area nearest hundredth, we get: 42.84 square units in total.
What is area?An area is the size of a surface area. The surface area refers to the area of an open surface or the border of a three-dimensional object, whereas the area of a planar region or planar region refers to the area of a form or flat layer. The area of an item is the entire amount of space occupied by its planar (2-D) surface or form. Using a pencil, draw a square on a sheet of paper. A two-dimensional character. The area of a form on paper is the amount of space it occupies. Assume that the square is made up of smaller unit squares.
The formula for a sector's area is:
Sector area = (central angle/360) x pi x radius2
When we plug in the values we know, we get:
Sector area = (60/360) x 3.14 x 62
Sector area = 18.84 square units
Triangle area = (base x height)/2
When we plug in the values we know, we get:
Triangle area = (8 x 6)/2 Triangle area = 24 square units
Total area Equals sector area + triangle area
18.84 + 24 = total area
42.84 square units in total
When we round to the nearest hundredth, we get:
42.84 square units in total.
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For the set of data, describe the shape of the distribution and determine which measures of center and spread best represent the data. 26, 12, 24, 35, 56, 39, 46, 65, 47, 34, 51, 57, 69, 48 The distribution is SO and (Type integers or decimals rounded to the nearest tenth as needed.) = best represent the data set.
The distribution is roughly symmetric and unimodal, and the median and IQR best represent the data set.
How to show thisIf you plot a histogram of the data;
the distribution appears to be roughly symmetric and unimodal.
We can also calculate some summary statistics to better understand the center and spread of the data:
mean = 43.2median = 46mode = No mode (all values occur only once)range = 57 - 12 = 45interquartile range (IQR) = Q3 - Q1 = 60.5 - 31 = 29.5standard deviation = 16.4The range is a simple measure of spread, but it can be heavily influenced by outliers.
The IQR is a more robust measure of spread that is less affected by outliers.
Finally, the standard deviation is a commonly used measure of spread that takes into account how far each data point is from the mean.
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_____ consists of a series of 0s and 1s representing data or instructions.
The series of 0s and 1s representing data or instructions is called binary code. It is the foundation of digital communication and computing systems. Each binary digit, or bit, can be thought of as a switch that is either off (0) or on (1), allowing for the representation of complex information.
Binary code is a system used to represent data or instructions using only two symbols: 0 and 1. It is the foundation of digital communication and computing systems. Each digit in binary code is called a bit, which is short for "binary digit." Bits can be thought of as switches that can be in one of two states: off (0) or on (1).
By arranging these bits in different patterns, we can represent and manipulate complex information. For example, in binary code, the letter "A" is represented as 01000001. This binary representation allows computers to process and store information using electronic circuits that can easily interpret and manipulate 0s and 1s.
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Rewrite g (x) = 3^-x when x = 7/5. Write this as an expression with a positive rational exponent and as an expression involving a radical. Show where g (7/5) would be located on the graph.
Step-by-step explanation:
g(x) = 3^-x
x = 7/5
so,
3^-(7/5)
the "-" says "1/...", therefore
1/(3^(7/5))
that is the expressing with the positive rational exponent.
with a fractional a/b exponent, "a" means "to the power of", and "b" means "pull the bth root".
so,
1/(3^(7/5)) =
\( \frac{1}{ \sqrt[5]{ {3}^{7} } } \)
that is the expression with a radical.
to find the point find the origin (0, 0) point. from there go eighth on the x-axis to 7/5 = 1.4. and from there you go straight up to the curve. that is the point of g(7/5).
1/(3^(7/5)) = 0.214798005...
that is what the y value would be of that point.
by the way, the graph in the picture does not match the actual graph.
ABCD is a rhombus. = 5.5 cm and = 4 cm. What is the area of the rhombus?
19 cm 2
11 cm 2
44 cm 2
22 cm 2
Answer: The answer is 11cm^2
Please help! Will mark best answer as brainliest
The equation x² + kx + 2 = 0, where k is a constant has no real roots. Find the set of possible values for k.
Answer: 4 :1 , 2
(The explanation is in the .pdf)
Is x=|y| with inputs x=1, x=2, and x=3 a function? Explain
Answer: This is not a function
======================================================
Explanation:
If x = 1, then,
x = |y|
1 = |y|
|y| = 1
y = plus/minus 1
y = 1 or y = -1
The input x = 1 leads to more than one output y = 1 and y = -1 at the same time.
Similar situations occur with x = 2 and x = 3.
This means we do not have a function. A function can only be possible if each input leads to exactly one output.
a college reports that the average age of their students is 28 years old. is this a statistic or a parameter?
The average age of all students in the college is a parameter. A parameter describes the whole populations.
What is the difference between parameter and statistic?A parameter is a number represents all the data from a population.A statistic is a number represents the data from a sample.Tha value of parameter or statistic can be average, percentage, and others.
A college reports that the average age of their students is 28 years old.
Is this a statistic of parameter?
The college would have access to data on all students. The data of all students in the college or the entire students is called population. So, this is a parameter.
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Solve for x. Round to the nearest tenth.
Answer:
22.8
Step-by-step explanation:
\(a^{2} +b^{2} =c^{2} \\20^{2} +11^{2} =x^{2} \\400+121=x^{2}\\\sqrt{521} =x\\\\or\\\\22.8 = x\)
Which of the following is NOT true about graphing y = 2x + 3?
A. The graph passes through the point (2, 5).
B. The graph passes through the point (2, 7).
C. The graph passes through the point (1, 5).
D. The graph intersects the y-axis at (0, 3).
Answer:
A. (2, 5)
Step-by-step explanation:
y = 2x + 3
If we choose A,
x = 2
y = 2 · 2 + 3 = 4 + 3 = 7
the y should be 7, not 5
So, A is incorrect
PLS help i will give you 26 points and brainly pls i need this for tomorrow i don't understand the question that i left blank. It Math thanks. :)
Answer:
145 is the outlier
Step-by-step explanation:
When compared to the other values, 145 is an exceeding highly value. Hence, it can be considered an outlier in the data set.
Two of Maxwell's equations contain a path integral on the left side and an area integral on the right. The directions of the infinitesimal path element ds and infinitesimal area element dA are:
The directions of the infinitesimal path element d Vector s and infinitesimal area element d Vector A is none of the given option.
The directions of the infinitesimal path element d Vector s and infinitesimal area element d Vector A in Maxwell's equations are not fixed or predetermined to always be in the same direction, always in opposite directions, or always perpendicular to each other.
The orientations of these elements depend on the specific geometry and configuration of the electromagnetic field being considered. The direction of d Vector s is determined by the chosen path or curve along which the integration is performed.
The direction of d Vector A is determined by the orientation of the surface over which the integration is carried out. These orientations can vary depending on the specific problem and the shape of the path or surface involved.
Therefore, the correct answer is E. none of the above, as there is no fixed relationship between the directions of d Vector s and d Vector A in general.
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The question attached here seems to be incomplete, the complete question is:
Two of Maxwell’s equations contain a path integral on the left side and an area integral on the right. The directions of the infinitesimal path element d Vector s and infinitesimal area element d Vector A are: A. always in the same direction B. always in opposite directions C. always perpendicular to each other D. never perpendicular to each other E. none of the above
A university purchases exercise equipment worth $21,000 for the campus fitness center. The equipment has a useful life of about 6 years. It is estimated that the value of the fitness equipment depreciates by 12% each yearWhat is the 1-year decay factor? What is the 1-year percent change? Let q be the function that defines the value of the equipment after w years. What is the function q?q(w)= Determine the value of the equipment 5 years after it was purchased. Value after 5years in dollars =
Answer
Decay factor is 0.88
Step-by-step explanation:
Given the following
The initial value = $210,000
rate = 12%
The decay factor is expressed as
b = 1 - r
r = 12%
r = 0.12
Decay factor = 1 - r
Decay factor = 1 - 0.12
Decay factor = 0.88
Sandy bought a pair of shoes on sale for 40% off the original price and an additional 25% off the discounted price. If the shoes originally cost $60, what was the final cost, without tax, that Sandy paid for the shoes? (I ALREADY KNOW THE ANSWER. BUT I NEED THE WORK FOR THE ANSWER TO SHOW MY TEACHER) (the answer is $27)
The price is $27.00
Step-by-step explanation:
First you find 40% of 60 which is 24.
Next you subtract 24 from 60 (60-24) which equals 36.
Then you find 25% of the discounted price (36) which is 9.
Finally you subtract 9 from 36 (36-9) which is 27.
Conclusion:
So therefore the answer is $27.00.
I don't care if I get brainlyist just glad I could help :)
in the binary value 1002, what is the place value of the 1?
Answer: 4s place
Also could you mark my answer as brainliest? It helps and doesnt hurt
y = 8x + 3
The rate of change is 1 and the y-intercept is 4
Answer:
False
Step-by-step explanation:
The rate of change/slope of the linear equation is 8.
The y-intercept is the point where x has no value and y does.
And in the linear equation y = 8x+3, the y-intercept is 3.
Therefore, false.
- Thanks.
OAB is a sector of a circle with centre O and radius 8 cm.
Angle AOB = e°
The area of the sector is 58 cm2
Calculate the perimeter of the sector.
Give your answer correct to 3 significant figures.
Answer:
The perimeter of the sector is :30.5 cm
Step-by-step explanation:
Mathematically, we have the area of the sector as;
e/360 * pi * r^2
r is 8 cm
so we have
58 = e/360 * pi * 8^2
58/64 * 360/pi = e
e = 103.85
To get the perimeter,
we have length of the arc plus 2r
Length of the arc is;
e/360 * 2 * pi * r
add 2 r;
e/360 * 2 * pi * r + 2r
so we have
103.85/360 * 2 * pi * 8 + 2(8)
= 14.5 + 16
= 30.5 cm
Answer: the above answer is correct
Step-by-step explanation:
1.10 The number 36 is 12% of:?
Step-by-step explanation:
never mind the handwriting haha...I hope I've helped?!