Answers
Answer:
Given function:
P(n) = 0.4n + 5.7Find its inverse:
x = 0.4\(P^{-1}\)(x) + 5.70.4\(P^{-1}\)(x) = x - 5.7\(P^{-1}\)(x) = (x - 5.7)/0.4 \(P^{-1}\)(x) = x/0.4 - 5.7/0.4\(P^{-1}\)(x) = 2.5x - 14.25a) Correct choice is B
\(P^{-1}\)(x) is the amount of vitamins n for a price of x dollars.b) See above the equation of inverse function.
c) Find the value of inverse function when x = 8.3
\(P^{-1}\)(8.3) = 2.5*8.3 - 14.25 = 6.5 gramsRelated Questions
The data below represents the number of hours an office assistant spends on the phone every week for 15 weeks.
19, 6, 10, 7, 9,5, 8, 9, 12, 9, 17, 14, 17, 18, 19
Which box plot represents this data?
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Answer:
The data below represents the number of hours an office assistant spends on the phone every week for 15 weeks. 19, 6, 10, 7, 9, 5, 8, 9, 12, ...
2 answers
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28 votes:
The information given shows that it has a mean of 11.93, a median of 10 and an interquartile ...
Step-by-step explanation:
Scarlett is designing a package for a candy her company makes. She has cut several cardboard equilateral triangles, squares, rectangles, and regular pentagons to try out her ideas for the package. Which 3-D figure and combination of shapes can Scarlett use?
Equilateral triangle prism with two equilateral triangles and three rectangles
Pentagonal prism with one pentagon and five rectangles
Rectangular prism with four rectangles
Square prism with four squares
Answers
The 3-D figure and combination of shapes that Scarlett can use is A. Equilateral triangle prism with two equilateral triangles and three rectangles
What is a 3-D Figure?This refers to the solid figure or shape that has defined dimensions of length, width, and height.
Therefore, based on the fact that a 3-D figure is made up of six equal squares, option A is the best answer because it contains a total of six squares.
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Somebody help me find a
Answers
Answer:
44°
Step-by-step explanation:
In the first triangle, the third angle is 180-95-39=46.
It has a congruent angle in the second triangle.
So the second triangle is 180-90-46=44°
a=44°
v fewer than 313 is 50
Answers
Answer:
v = 263
Step-by-step explanation:
313 - v = 50
313 - 50 = v
313 - 50 = 263
During a one-month promotional campaign, Fran's Flix gave either a free DVD rental or a 12-serving box of microwave popcorn to new members. It cost the store $1 for each free rental and $2 for each box of popcorn. In all,46 new members were signed up and the store's cost for the incentives was $86. How many of each incentive were given away?
Answers
Troy has to order 8 pounds of ham, 15 pounds of cheese, and 12 pounds of turkey. What is the toatal cost of troys order?
Answers
Answer:
93.75
Step-by-step explanation:
Answer:
The answer is $93.75
Step-by-step explanation:
Solve 2(2x-5)=3x+x-2x
Answers
Answer:
5=x
Step-by-step explanation:
Q=2(2x-5)=3x+x-2x
SOLUTION:
4x-10=4x-2x
-10=2x-4x
-10= -2x
(-+-=+ so 10 and 2 are positive now)
10/2=x
5=x
When a vehicle is in motion, it has _____.
Answers
Answer:
Kinetic energy
Step-by-step explanation:
because when something is in motion it gains kinetic energy
NEED HELP PLEASE!! Don’t know how to do this
Answers
By working with percentages we will see that the down payment is of $11,010 and the first monthly payment is of $275.25
How to work with percentages?
First, the total cost is $110,100.
And we know that you initially pay the 10% of that, so the amount that you pay initially is:
P = 0.10* $110,100 = $11,010
So the down payment is of $11,010
The rest is financed over 30 years, so the rest is:
$110,100 - $11,010 = $99,090
Dividing by the number of months:
N = ( $99,090)/(30*12) = $275.25
And there is an interest of the 9%, then the amount that you pay on month x is given by:
\(P(x) = $275.25*(1.09)^{x-1}\)
Currently (on the first month, so x = 1)
Your pay will be of $275.25
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The scale below represents which equation or inequality? X+5 O A. x+ 5
Answers
From the given image, the inequality expressed is A. x =5 < y-3
What is an Inequality?An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The most frequent application is to size-compare two numbers on a number line.
The image shows a scale and from the way the scale is tipped, it is easy to see that y-3 is heavier than x= 5 which makes the inequality x =5 < y-3 true.
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Convert the following angle from degrees to radians. Express your answer in simplest form. 225
Answers
Given the measure of an angle in degrees
To convert from the degree to radian, we will use the following formula:
\(\theta(rad)=\theta\degree *\frac{\pi}{180}\)Given the angle in degree = 225°
So, the measure of the angle in radian will be as follows:
\(225\degree *\frac{\pi}{180}=\frac{225}{180}\pi=\frac{5}{4}\pi\)So, the answer will be:
\(\frac{5\pi}{4}\)PLZ HElp me wit this. thxxxxxxxx
Answers
Answer:
A and BStep-by-step explanation:
We are looking for the points which satisfy the equation:
x + y = 5If we graph this line only two points appear on the same line:
A(2, 3) and B(3, 2)compare and contrast perfect squares and imperfect squares. explain your reasoning by talking about square roots and the process of finding perfect square roots and imperfect square roots.
Answers
Answer: perfect squares are the squares of the whole numbers: 1, 4, 9,25,36,49,64,81,100...... For example, 9 is a squared number because it can be written as 3x3. However, imperfect squares are numbers whose square roots contain fractions or decimals. For example square root of 20 = 4 1/2
The square number, sometimes known as a perfect square, is an integer that is the square of another integer and numbers with fractional or decimal square roots are considered imperfect squares.
We need to compare and contrast perfect squares and imperfect squares.
Perfect squares: When you multiply an integer by itself, you get a perfect square, which is a positive integer. Perfect squares are sums that are the products of integers multiplied by themselves, to put it simply. A perfect square is typically expressed as x², where x is an integer and x²'s value is a perfect square.
Imperfect squares: Numbers with fractional or decimal square roots are considered imperfect squares.
Therefore, the square number, sometimes known as a perfect square, is an integer that is the square of another integer and numbers with fractional or decimal square roots are considered imperfect squares.
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refer to functions s and t. find the indicated function and write the domain in interval notation. write your answer as a single fraction.
s(x)= x-5/x^2-64 t(x)= x-8/5-x
(s-t)(x)=
write the domain in interval notation for part 2
Answers
The domain of (s - t)(x) in interval notation is (-∞, -8) U (-8, 5) U (5, 8) U (8,
∞).
To find (s - t)(x), we subtract the function t(x) from s(x).
s(x) =\((x - 5)/(x^2 - 64)\)
t(x) = (x - 8)/(5 - x)
To subtract the functions, we need a common denominator. In this case, we can use (x^2 - 64) as the common denominator.
(s - t)(x) =\([(x - 5)/(x^2 - 64)] - [(x - 8)/(5 - x)]\)
To simplify the expression, we need to factor the denominators and simplify further:
\((x^2 - 64) = (x - 8)(x + 8)\)
(5 - x) = -(x - 5)
Substituting these into the expression, we get:
(s - t)(x) = [(x - 5)/(x - 8)(x + 8)] - [(x - 8)/-(x - 5)]
Next, we need to find a common denominator for the two fractions. The common denominator will be (x - 8)(x + 8)(x - 5).
(s - t)(x) = [(x - 5)(-(x - 5))/((x - 8)(x + 8)(x - 5))] - [(x - 8)(x + 8)/((x - 8)(x + 8)(x - 5))]
Simplifying further:
(s - t)(x) = \([-(x - 5)^2 - (x - 8)(x + 8)]/[(x - 8)(x + 8)(x - 5)]\)
The domain of the function (s - t)(x) is the set of values for which the denominator is non-zero, since division by zero is undefined.
The denominator (x - 8)(x + 8)(x - 5) will be non-zero as long as x is not equal to 8, -8, or 5.
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437.683
Write a number with a 6 in it that is 10 times larger than the 6 in the number
above.
Write a number with a 7 in it that is 1/10 the size of the 7 in the number above.
Answers
Answer:
a) 6.3
b) 8.7
Step-by-step explanation:
The value will be 10 times as large when the digit is moved one place to the left in the number. The value will be 1/10 the size when the digit is moved one place to the right in the number.
a)6.3 has a value for 6 that is 10 times as large as the 6 in 437.683. The given 6 is in the tenths place. To make it 10 times as large, it must be moved to the units place.
__
b)8.7 has a value for 7 that is 1/10 as large as the value of 7 in 437.683. The given 7 is in the units place. To make it 1/10 as large, it must be moved to the tenths place.
In circle A below, chord BC and diameter DAE intersect at F. If arc CD = 46° and arc BE = 78°, what is m_BFE? D B А
Answers
Given:
Consider the below figure attached with this question.
In circle A below, chord BC and diameter DAE intersect at F.
The arc CD = 46° and arc BE = 78°.
To find:
The measure of angle BFE.
Solution:
According to intersecting chords theorem, if two chords intersect inside the circle then the angle on the intersection is the average of intercepted arcs.
Using intersecting chords theorem, we get
\(m\angle BFE=\dfrac{1}{2}(m(arcCD)+m(arcBE))\)
\(m\angle BFE=\dfrac{1}{2}(46^\circ+78^\circ)\)
\(m\angle BFE=\dfrac{1}{2}(124^\circ)\)
\(m\angle BFE=62^\circ\)
Therefore, the measure of angle BFE is 62°.
Suppose set A contains 336 elements and the total number elements in either set A or set B is 642. If the sets A and B have 78 elements in common, how many elements are contained in set B?
Answers
Answer:
math
Step-by-step explanation:
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Answers
If you take away 25 from (100) you get 75.
70 also equals 2.5*30
Explain why the denominator does not change when you are counting by the
unit fraction 1
··4
to reach 3
··4 .
Answers
Answer:
Yes, when dividing a whole number by a unit fraction, multiplying the whole number by the unit fraction's denominator always works! a divided by (1/b) = a times (b/1) = (a/1) times (b/1) = ab/1 = ab. Have a blessed, wonderful day! Comment on Ian Pulizzotto's post “Yes, when dividing a whole number by a unit fracti...”
A solid figure is composed of a cube and a right triangular
prism. The figure and some of its dimensions are shown in
this diagram.
- 8 cm
What is the volume of the figure?
A
6 cm
B
560 cubic centimeters
704 cubic centimeters
C 728 cubic centimeters
Answers
Answer:
Option B
Step-by-step explanation:
704 cubic centimeters
The graph below shows the solutions to which inequality?
A. x^2-3x+3 ≥0
B. x² + 3x-3 <0
C. x²-3x+3<0
D. x² + 3x-3>0
Answers
The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.
option B.
What is the solution of the inequality?The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;
The solution of the graph,
x > -4 and x < 1
The first equation with "≥" is ruled out because the graph doesn't have a thick dot.
Let's simplify the second expression;
x² + 3x - 3 < 0
solve using quadratic formula;
x > -3.79 or x < 0.79
The third expression is ruled out since its solution will be complex.
For the last expression;
x² + 3x - 3 > 0
x < -3.79 or x > 0.79
Thus, the correct inequality expression is x² + 3x - 3 < 0.
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Statistical data of breakdowns of computer XXX show that the duration for trouble-free operation of the machine can be described as a gamma distribution with a mean of 40 days and a standard deviation of 10 days. The computer is occasionally taken out for maintenance in order to insure operational condition at any time with a 95% probability.
1. How often should the computer be scheduled for maintenance? Should it be shorter or longer than the mean of 40 days?
2. Three XXX computers were acquired at the same time by an engineering consulting firm. The computers are operating under the same environment, workload, and regular maintenance schedule. The breakdown times between the computers, however, may be assumed to be statistically independent. What is the probability that at least one of the three machines will break down within the first scheduled maintenance time?
Answers
1. In this case, we want the reliability to be 95%, so the probability of not breaking down is 0.95.
2. Probability of no breakdowns = (reliability of a single machine)^3. Probability of at least one breakdown = 1 - Probability of no breakdowns
1. To determine how often the computer should be scheduled for maintenance, we need to consider the reliability and the desired level of operational condition. Since the duration for trouble-free operation follows a gamma distribution with a mean of 40 days, this means that, on average, the computer can operate for 40 days before a breakdown occurs.
To ensure operational condition with a 95% probability, we can calculate the maintenance interval using the concept of reliability. The reliability represents the probability that the machine will not break down within a certain time period. In this case, we want the reliability to be 95%, so the probability of not breaking down is 0.95.
Using the gamma distribution parameters, we can find the corresponding reliability for a specific time duration. By setting the reliability equation equal to 0.95 and solving for time, we can find the maintenance interval:
reliability = 0.95
time = maintenance interval
Using reliability and the gamma distribution parameters, we can calculate the maintenance interval.
2. To calculate the probability that at least one of the three machines will break down within the first scheduled maintenance time, we can use the complementary probability approach.
The probability that none of the machines will break down within the first scheduled maintenance time is given by the reliability of a single machine raised to the power of the number of machines:
Probability of no breakdowns = (reliability of a single machine)^3
Since the breakdown times between the machines are statistically independent, we can assume that the reliability of each machine is the same. Therefore, we can use the reliability calculated in the first part and substitute it into the formula:
Probability of at least one breakdown = 1 - Probability of no breakdowns
By calculating this expression, we can determine the probability that at least one of the three machines will break down within the first scheduled maintenance time.
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Find the value of y.
Answers
The value of y is 4√3
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.
Also , the ratio of corresponding sides of similar triangles are equal.
There are two triangles that are similar
Therefore;
y /16 = 4/y
y² = 48
y = √48
y = √16 × √ 3
y = 4√3
Therefore, the value of y is 4√3
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I need help with this please
Answers
The total amount of sugar that was consumed by Kylie in the past nine (9) days is equal to 3 units of sugar.
What is a line plot?In Mathematics and Statistics, a line plot refers a type of graph that is used to graphically represent a data set above a number line, while using crosses, dots, or any other mathematical symbol.
Based on the data and information provided in the line plot shown in the image attached above, we can calculate the total amount of sugar that was consumed by Kylie in the past nine (9) days as follows:
Total sugar consumed = (1/8 + 1/8 + 1/8) + 1/4 + (3/8 + 3/8 + 3/8) + (5/8 + 5/8)
Total sugar consumed = 3(1/8) + 1/4 + 3(3/8) + 2(5/8)
Total sugar consumed = 3/8 + 1/4 + 9/8 + 10/8
Total sugar consumed = 22/8 + 1/4
Total sugar consumed = (22 + 2)/8
Total sugar consumed = 24/8
Total sugar consumed = 3 units of sugar.
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Dominique spent $31.41 on 9 bags of Takis. How much did each bag cost?
Answers
Answer: 3.49 Dollars a bag
Step-by-step explanation:
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
Answers
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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This system of linear equations represents two cell phone plans. The plans or even at which month?
Answers
need answers to my assignment
Answers
Find the probability that a randomly selected point within the square falls in the red shaded square
Answers
The probability that a randomly selected point within the square falls in the red shaded square is 1/16
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event to occur is 1 and it is 100% in percentage.
Probability = sample space /total outcome
sample space is the area of the red shaded square and the total outcome is the big square.
Area of red shaded square = 1 × 1 = 1unit²
area of the big square = 4 × 4 = 16 units²
Therefore the probability that a point selected falls on the red shaded square
= 1/16
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2x - 4
——— =4
5
Pls solve
Answers
Step-by-step explanation:
cross multiply
2x - 4 = 4 × 5
2x - 4 =20
collect like terms (CLT)
2x = 20 + 4
2x=24
divide both sides by 2
x=12