Answer:
what's the question? how many days? 4 day is the breakeven mark.
Step-by-step explanation:
80+60x = 100+55x
5x =20
x=4
for a 4-day rental, it'll be the same.
if longer than 4 days, go with enterprise. shorter than 4 days go with hertz.
(x^4+10x^3+10x^2-15x-6)/(x+2) Synthetic Division
(x^4+10x^3+10x^2-15x-6)/(x+2) Synthetic Division
The synthetic division for the polynomial (x^4+10x^3+10x^2-15x-6) divided by (x+2) would be:
x^3 + 8x^2 - 19x - 12 + (R)
Where R is the remainder.
The quotient is x^3 + 8x^2 - 19x - 12
What is a synthetic division for the polynomial?A synthetic division, also known as long division of polynomials or polynomial synthetic division, is a method of dividing polynomials that is faster and simpler than the traditional polynomial long division method. It is particularly useful for dividing a polynomial by a linear factor of the form (x - a), where a is a real number.
Synthetic division allows you to divide a polynomial by a linear factor without having to perform the traditional long division algorithm, by using the polynomial's coefficients instead of the polynomial itself. Synthetic division is also useful for finding the remainder of a polynomial division. The quotient and the remainder are written in a form of simplified polynomials.
Therefore, the correct answer is as given above
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what is the value of Z?
The square root of 2 or root 2 is represented using the square root symbol √ and written as √2 whose value is 1.414. This value is widely used in mathematics.
What is the value of 2√ 2 ?Well, the basic answer is that the value of root 2 (i.e., 2) is 1.412. We must first understand the concepts of power and roots in order to comprehend what root 2 (2) is and how to calculate its value. √2 = 1.414
You may determine the values of non-perfect square values like root 3, root 5, etc. using the long division method.
The square root or root of a number "n" is a number that, when multiplied by itself, has the value "n". For instance, the square root of 4 is equal to 2. thus 2 + 2 Equals 4. The opposite of squaring a number is finding the square root of that integer.
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Change 9 out of 20 to a percentage.
Answer:
45%
Step-by-step explanation:
Answer:
45%
Step-by-step explanation:
[tex]\frac{9*5}{20*5}[/tex] = [tex]\frac{45}{100}[/tex]
Makayla leans a 26-foot ladder against a wall so that it forms an angle of 69
∘
∘
with the ground. What’s the horizontal distance between the base of the ladder and the wall? Round your answer to the nearest tenth of a foot if necessary.
A right triangle is created by the wall and the ladder's base. 9.3 feet are horizontally between the wall and the ladder's base.
What are right triangles?A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangle triangle, is a triangle with one right angle, or two perpendicular sides.
The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.
So, the parameters listed are:
69-degree angle.
Ladder length (l) equals 26 feet.
The following cosine ratio is used to compute the horizontal distance (h).
cos(θ) = h/l
Replace known values:
cos(69) = h/26
Make the topic "h":
h = 26 * cos(69)
Consider the product:
h = 9.3
Therefore, a right triangle is created by the wall and the ladder's base. 9.3 feet are horizontally between the wall and the ladder's base.
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PLEASE HELP ASAP!!!!
The inverse matrix of the given matrix is
[tex]\left[\begin{array}{ccc}3/2&-2\\-1/2&1\end{array}\right][/tex]
What is meant by inverse matrix?
If A is a non-singular square matrix, then A^-1, often known as the inverse matrix of A, must exist if it is to satisfy the following property:
AA^-1 = A^-1A = I, Where I is the Identity matrix
Now, we will first find the determinant of the given matrix, whichis as follows:
Determinant = 6-4 = 2
Since, the determinant is not zero, this means that the inverse matrix exists.
Now, let's find the inverse matrix i.e. A^-1
[tex]A^{-1} = \frac{1}{D} \left[\begin{array}{ccc}d&-b\\-c&a\end{array}\right][/tex]
[tex]A^{-1} = \frac{1}{2} \left[\begin{array}{ccc}3&-4\\-1&2\end{array}\right][/tex]
[tex]A^{-1} = \left[\begin{array}{ccc}3/2&-4/2\\-1/2&2/2\end{array}\right][/tex]
[tex]A^{-1} = \left[\begin{array}{ccc}3/2&-2\\-1/2&1\end{array}\right][/tex]
Hence, the inverse matrix of the given matrix is as under
[tex]\left[\begin{array}{ccc}3/2&-2\\-1/2&1\end{array}\right][/tex]
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2 5/12 + 4 1/4 please help
Answer: 6 2/3
Step-by-step explanation: 2 5/12 + 4 1/4 29/12 + 4 1/4 29/12 + 17/4 (3/3) 29/12 + 51/12 80/12/4/4 20/3 6 2/3
Annie is helping you graph the line y - 3 = 2(x + 1).
She tells you to follow the steps below.
Step 1: Plot the point (1, -3).
Step 2: Plot more points by moving up 2 and right 1.
Step 3: Draw a line through the points and put arrows on the ends..
Annie made a mistake.
What was her mistake? How should she fix her mistake?
Answer: Annie made a mistake in step 1 by plotting the point (1, -3) instead of (1, 0) which is the x-intercept of the given equation.
Step-by-step explanation:
She should have used the x-intercept of the equation instead of just any point.
To fix her mistake, Annie should find the x-intercept of the equation by setting y to 0, and solve for x. Then she can plot the point (1,0) and proceed with step 2 and 3.
A map scale designates 1 inch = 25 km. The distance between the two towns on the map is 3 inches. If a liter of gasoline can last you for 50 kilometers, how many liters of gasoline would you need to drive from the first town to the second?
The amounts of liters of gasoline that you need to drive from the first town to the second is given as follows:
1.5 liters.
How to obtain the amount of gasoline needed?The amount of gasoline needed is obtained using the proportions in the context of this problem.
The scale is given as follows:
1 inch = 25 km.
Meaning that each inch on the drawing represents an actual distance of 25 km, then the actual distance of the towns separated by 3 inches on the map is given as follows:
3 x 25 = 75 km.
A liter of gasoline lasts for 50 kilometers, hence the amount of liters of gasoline needed for 75 kilometers are given as follows:
75/50 = 1.5 liters.
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the maller of 2 conecutive number i x3
a.find the um of the two number
b.find their difference
c.ubtract their um for x8
The sum of the two consecutive numbers is 31.
Let the two consecutive number are n and n+1.
Given the difference between square of two consecutive Numbers is 31.
(n + 1)² - n² = 31n² + 2n + 1 – n² = 312n + 1 = 312n = 30n = 15Then, two consecutive number = n, n+1 = 15, 16
Therefore
( A ): the sum of two consecutive number = 15 + 16 = 31
( B ): Their difference = 16 – 15 = 1
( C ): Subtract their sum by 8 = 31 – 8 = 23
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What number is 24 less than 3 times itself?
Answer:
3x - 24
Step-by-step explanation:
24 less is the same as: - 24
3 times itself is: 3x
The scatter plot shows a hiker's elevation above sea level during a hike from the base to the top of a mountain. The equation of a trend line for the hiker's elevation is y=9.54x+694, where x represents the number of minutes and y represents the hiker's elevation in feet. Use the equation of the trend line to estimate the hiker's elevation after 145 minutes.
By using the equation of the trend line, the hiker's elevation after 145 minutes is equal to 2,077.3 feet.
How to determine the hiker's elevation after 145 minutes?In order to determine the hiker's elevation after 145 minutes, we would have to substitute the value representing the number of minutes (x) into the linear equation that models the hiker's elevation in feet and then evaluate as follows;
y = 9.54x + 694
When the value of x = 145 minutes, the hiker's elevation (y) in feet is given by;
Hiker's elevation (y) = 9.54x + 694
Hiker's elevation (y) = 9.54(145) + 694
Hiker's elevation (y) = 1,383.3 + 694
Hiker's elevation (y) = 2,077.3 feet.
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DJ is riding in the passenger seat of a car that is going 40 miles per hour
when it passes Jabari, who is standing on the street. From Jabari's
perspective, how quickly is DJ moving?
A
DJ does not appear to be moving at all.
B. DJ appears to be moving more slowly than the car.
C. DJ appears to be moving more quickly than the car.
D. DJ appears to be moving at the same speed as the car.
Answer: DJ appears to be moving at the same speed as the car
Step-by-step explanation:
DJ is inside of the car, so he moves with it. Jabari is outside of the car and is standing still, so both DJ and the car he is in seems to be moving at 40 miles per hour at the same time
Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.
The surface area of the rectangular prism is 100m²
How to determine the surface areaThe formula for calculating the surface area of a rectangular prism is expressed as;
Surface area = 2(wl + hw + lh)
Given that;
w is the width of the rectangular primsh is the height of the rectangular prisml is the length of the rectangular prismFrom the diagram shown, let's substitute the values, we have;
Surface area = 2(2× 7 + 4× 2 + 7 × 4)
multiply the values, we get;
Surface area = 2(14 + 8 + 28)
Add the values
Surface area = 2(50)
Expand the bracket
Surface area = 100m²
Hence, the value is 100m²
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Which is a correct solution for the following system of Inequalities
The solution for given linear inequalities is (-0.5,4.25) from the given graph.
What are linear inequalities?
Inequality represents the mathematical expression in which both sides are not equal. If the relationship makes the non-equal comparison between two expressions or two numbers, then it is known as inequality in Maths. In this case, the equal sign “=” in the expression is replaced by any of the inequality symbols such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤) or not equal to symbol (≠). The different types of inequalities in Maths are polynomial inequality, rational inequality, absolute value inequality.
The symbols ‘<‘ and ‘>’ express the strict inequalities and the symbols ‘≤’ and ‘≥’ denote slack inequalities. A linear inequality seems exactly like a linear equation but there is a change in the symbol that relates two expressions.
e.g. y>x+2
Now,
As we know the solution for the lines which intersect at a certain point is that point or the coordinates of that point i.e. (-0.5,4.25).
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What is
√12x8/√3x²
in simplest form, where x>0?
The simplest form of √12x⁸/√3x² is 2x³.
What is simplification?
Solving a math problem is the same thing as simplifying an expression. You basically strive to write an expression as simply as you can when you simplify it. In conclusion, there shouldn't be any more multiplying, dividing, adding, or removing to do.
Here, we have
Given: √12x⁸/√3x²
We have to simplify this function.
We combine both terms in one and we get
= √12x⁸/3x²
= √4x⁶
= 2x³
Hence, the simplest form of √12x⁸/√3x² is 2x³.
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Sentence letter are ingle letter P,Q, R, etc. tranlated to Englih entence that are either true or fale.
The English sentences that are translated from single letters, such as P, Q, R, etc., can either be true or false depending on the context in which they are used.
For example, if P is translated as "the sky is blue," then this sentence is true. However, if P is translated as "the sky is orange," then this sentence is false. In order to determine the truth value of the translated sentence, we must first identify the context in which the letter is being used. Then, we can decide whether the translation is true or false by using logic and reasoning. For example, if we know that the sky is not orange, then the translation of P can be determined to be false.
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Ben and tom each take driving test. The probability that ben and tom will pass is 0. 87 and 0. 7 respectively
The probability that ben and tom will pass is 0. 87 and 0. 7 respectively will be 0.38
The answers to the questions are as follows:
Please refer to the attached file for point a.
Since both of them pass their driving tests at the same time, we double the odds of each one passing, which results in a probability of "56%".
Tom passes but Ben fails, or Tom passes but Ben succeeds. Therefore, the likelihood and the response is "38%."
(a)The tree diagram is attached.
P(Ben Fails)=1-0.8=0.2
P(Tom Fails)=1-0.7=0.3
(b)Probability that both will pass their driving test.
P(both will pass)=0.8 X 0.7 =0.56
(c)Probability that only one of them will pass their driving test.
P(Tom Bass, Ben Fails OR Ben Pass, Tom Fails)
=(0.7 X 0.2)+(0.8 X 0.3)
=0.14+0.24
=0.38
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100 POINTS ANSWER QUICKLY Question 3 Part C (4 points): Based on what you learned about causation in lesson 5. 07, give a real world scenario that would represent a causal relationship
The real world scenario that would represent a causal relationship in causation:
Example 1: Shark attacks and sales of ice cream
Example 2: Box Office Income and Master's Degrees
Example 3: Nuclear Energy Production vs. Pool Drownings
Example 4: Marriage Rate versus. Measles Cases
The concept of causation states that one occurrence results in another event. Just a test with a correct engineering can demonstrate correlation. Similar groups are given various treatments in these trials, and the results of each group are examined. Only when there is a discernible difference between the groups' results can we say that a treatment had an impact.
People frequently misunderstand and misuse the concept of causality in statistics because they believe that just because data reveals a correlation, there must definitely be an underlying causal relationship.
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A family ha two car. The firt car ha a fuel efficiency of 35 mile per gallon of ga and the econd ha a fuel efficiency of 15 mile per gallon of ga. During one particular week, the two car went a combined total of 1150 mile, for a total ga conumption of 50 gallon. How many gallon were conumed by each of the two car that week?
The first car consumed 35 number of gallons and the second car consumed 15 gallons.
1. Calculate the total efficiency of both cars: 35 mpg + 15 mpg = 50 mpg
2. Calculate total gallons consumed: 1150 miles/50 mpg = 23 gallons
3. Divide total gallons by each car: 23/2 = 11.5 gallons (round down to 11 for the first car and round up to 12 for the second car)
4. The first car consumed 11 gallons and the second car consumed 12 gallons.
The first car consumed 35 gallons and the second car consumed 15 number of gallons.
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A toy store had 4 boxes that weighed a total of 34 kilograms. If each box had the
same amount of weight, how much did each box weigh? Between what two whole
numbers does your answer lie?
The weight lies between the whole numbers 8 and 9.
The length, breadth, and height of a package are multiplied using the longest point on each side to determine the dimensional (DIM) weight.
If each of the 4 boxes has the same weight, the weight of each box can be found by dividing the total weight by the number of boxes. Given that the total weight is 34 kilograms, the weight of each box is:
w = 34 kg / 4 boxes = 8.5 kg
So, each box weighs 8.5 kilograms. The weight lies between the whole numbers 8 and 9.
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. What crimes do these excerpts from the Code of Hammurabi identify?
Which of those are considered crimes today? Which are not?
3) What punishments do these excerpts from the Code of Hammurabi identify?
4) Which of those punishments are used today? Which are not?
5) Based on these short excerpts from the code, how do you think Hammurabi defined justice?
6) In what ways do our codes of law today show similarities to and differences from the concept of justice as shown in these short excerpts from Hammurabi’s Code?
7) In what ways has today's view of justice changed from Hammurabi's? What events and ideas do you think caused these changes?
1. These excerpts from the Code of Hammurabi identify crimes such as theft, assault, and damage to property.
2. Some of these crimes, such as theft and assault, are still considered crimes today. However, some of the punishments specified in the code, such as the punishment for a son striking his father, would not be considered appropriate today.
3. These excerpts from the Code of Hammurabi identify punishments such as fines, imprisonment, and physical punishment such as whipping or amputation.
4. Physical punishments such as whipping or amputation are no longer used in most modern legal systems.
5. Fines and imprisonment are still used as punishments today.
6. Based on these short excerpts from the code, it seems that Hammurabi defined justice as a system of strict punishment for crimes, with different punishments for different classes of people and different severity of crimes.
Our codes of law today show similarities to the Code of Hammurabi in that they both have a system of punishment for crimes. However, there are also many differences, such as the fact that our legal system is considered more fair and equal, and places a greater emphasis on rehabilitation and protecting the rights of the accused.
7. Today's view of justice has changed significantly from Hammurabi's in that it places a greater emphasis on protecting the rights of the accused, rehabilitation, and equality before the law. This change can be attributed to a number of factors, including the development of democratic societies, the influence of human rights movements, and the advancement of legal scholarship and philosophy.
What is Hammurabi code?The 282 rules that make up the Hammurabi code of laws established norms for business dealings and established fines and penalties to satisfy the demands of justice.
A large, finger-shaped black stone stele with Hammurabi's Code carved on it was looted by invaders and only recently found in 1901. One of the most well-known examples of the ancient maxim known as "lex talionis," or the law of retribution, is the Hammurabi Code.
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PLEASE HELP!! A ladder is leaning against a wall. What is the length of the ladder if it is resting against the wall at a height of 48 feet and it forms an angle of 53 degrees with the ground? Round your answer to the nearest tenths place
The length of the ladder, if it is resting against the wall at the height of 48 feet and it forms an angle of 53 degrees with the ground being 63.7 ft.
First, we need to draw a figure according to the conditions given in the question.
Now, let AC be the length of the ladder, AB is the length of the wall, and BC is the length of the ground, as shown in the figure.
As we know,
tan θ = perpendicular/hypotenuse
tan 53 = AC/AB
AC = tan 53 × AB
AC = 1.327 × 48
AC = 63.7 ft
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the activity of a radioactive isotope is found to decrease by 40% in one week. what are the values of its: a) decay constant, b) half-life, c) mean lifetime?
Answer: A) The decay constant (λ) is a measure of the rate at which a radioactive isotope decays. It is defined as the probability per unit time that an atom of the isotope will decay. The decay constant can be calculated using the formula:
λ = -ln(1 - x) / t
Where x is the fraction of the original activity that has decayed (in this case, 0.40), and t is the time over which the decay occurred (in this case, one week).
B) The half-life (T1/2) is the amount of time it takes for half of the original activity of a radioactive isotope to decay. It can be calculated using the formula:
T1/2 = ln(2) / λ
C) The mean lifetime (τ) is the average amount of time an atom of a radioactive isotope will survive before it decays. It can be calculated using the formula:
τ = 1 / λ
It's important to note that the above formulas are based on the exponential decay model, which assumes that the decay process is random and that the decay constant is constant over time. If the isotope does not decay in this way, these formulas may not give accurate results.
Step-by-step explanation:
Which is the y-intercept of the relationship represented in the table?
x y
-8 -3
-5 0
-2 3
1 6
-3
-5
5
3
Pls solve 5^2x-1–6(5^x) + 25=0
3. Which represents the least percent of change?
A. A $125 watch selling for $90.
B. The speed limit changing from
40 mph to 55 mph.
C. The stock market dropping from
250 to 175 points.
D. Marissa's math grade increasing
from 75 to 99.
Answer: B. The speed limit changing from 40 mph to 55 mph represents the least percent of change.
In A, a watch selling for $90 from $125 represents a 28% decrease,
In C, the stock market dropping from 250 to 175 points represents a 30% decrease,
In D, Marissa's math grade increasing from 75 to 99 represents a 32% increase.
While in B, the speed limit changing from 40 mph to 55 mph represents a 37.5% increase.
So, B represents the least percent of change.
Step-by-step explanation:
HELP ASAP!!! GIVING 50 POINTS!!
Answer:
200,000 times
Step-by-step explanation:
80 km × (1000 m)/(1 km) × (100 cm)/(1 m) = 8,000,000 cm
8,000,000 cm / 40 cm = 200,000
Answer: 200,000 times
at an entertainment center, two groups of people bought batting tokens and miniature golf games. the first group bought 16 tokens and 3 golf games for $30. the second group bought 22 tokens and 5 golf games for $43. find the cost of a battling token and the cost of a miniature golf game.
An equation system's solution is a collection of values for the variable that concurrently fulfill each equation.
The system's answer is: what is it?An equation system's solution is a collection of values for the variable that concurrently fulfill each equation. Finding all of the possible sets of variable values that make up the system's solutions is necessary to solve an equation system. However, the second equation does not have a solution at (5, 4).An equation system's solution is a collection of values for the variable that concurrently fulfill each equation.There are an endless number of ordered pairs that satisfy both of the equations if both variables are removed and you are left with a true assertion. Actually, the lines of the equations are identical.To lean more about system's solution refer to:
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The cost of a battling token is $1.5 and the cost of a miniature golf game is $2.
The system's answer is: what is it?The set of values for the variable that simultaneously satisfy all of the equations in an equation system is called the solution. In order to solve an equation system, all sets of variable values that could possibly exist must be found. The second equation, however, is initially without a solution (5, 4).
The set of values for the variable that simultaneously satisfy all of the equations in an equation system is called the solution.
If both variables are eliminated and you are left with a true statement, there are an infinite number of ordered pairs that satisfy both equations. In reality, the equations' lines are the same.
Let cost token be x and golf games be y, i.e.
16x + 3y = 30
22x + 5y = 43
Lets Solve by using Elimination method both the expression in equal terms
80x + 15y = 150
- 66x + 15y = 129
14x = 21
x = 21/14
x = 1.5
Then, for y
16(1.5) + 3y = 30
y = 2
Thus, The cost of a battling token is $1.5 and the cost of a miniature golf game is $2.
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Nelson earned $379.25 in net pay for working 40 hours. He paid $56.64 in federal and state taxes, and $36.11 in FICA tax. What was Nelson's hourly wage?
Nelson hourly wage is $11.8
How to calculate Nelson hourly wage ?Nelson earned $379.25 in net pay for working 40 hours
He paid $56.64 in federal and state taxes
He also paid $36.11 in FICA tax
Therefore Nelson hourly wage can be calculated as follows
The first step is to calculate the total earnings
= 379.25 + 56.64 + 36.11
= 472
The next step is to calculate the hourly wage
472/40
= 11.8
Hence Nelson hourly wage is $11.8
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convert 6 2/5 to a fraction greater than 1
Answer:
Step-by-step explanation:
6 2/5
Number 5 is denominator, keep it for denominator.
Numerator will be 6x5+2 =32
so, a fraction of 6 2/5 greater than 1 is 32/5