You ask a neighbor to water a sickly plant while you are on vacation. without water the plant will die with probability 0.8. with water it will die with probability 0.5. you are 80 % certain the neighbor will remember to water the plant. you come back from the vacation and the plant is dead. what is the probability that the plant died because neighbor forgot to water it?
Please help ASAP : ))))
Trevor went to fill his car up with gas. It costs $2.95 per gallon of gas. Trevor also bought a car wash for $11.25. Trevor's total bill at the gas station was $52.55.
A) Write an equation that represents this situation.
B) How many gallons of gas did Trevor purchase at the gas station?
Identify three solutions of the graph shown. Please help
It is sometimes possible to write two inequalities as a inequality.
In mathematics, it is common to combine two inequalities into a single compound inequality to indicate a range for a variable. Inequalities are also used in describing alternative hypotheses in statistics and conversions between measurement systems.
Explanation:It is indeed sometimes possible to represent two separate inequalities as a single compound inequality in mathematics. This technique is often used to indicate that a value lies within a certain range. For instance, to show that a number x is greater than 1 but less than 3, we can write two inequalities: x > 1 and x < 3. These can be combined into a single compound inequality 1 < x < 3.
Inequalities are often used in various mathematical contexts, such as solving equations, graphing regions on a coordinate plane, or expressing ranges. Furthermore, in statistics, the alternative hypothesis is typically denoted using inequality symbols (≠, >, or <), showing a predicted difference or relationship.
To express equivalences between different measurement systems, a common approach is to use 1 as an exact value on one side of the equation, with the other side being inexact. Mathematically, you can rearrange equations for convenience into formats showing direct or indirect proportionalities, simplifying complex relationships into more manageable forms.
Deangelo has $7 worth of dimes and quarters in a jar. He has 7 more quarters than dimes. How many of each coin does he have?
0.10d +0.25q = 7.00
multiply everything by 100 to get rid of decimals
q = d+7 ( 7 more quarters than dimes)
10d +25(d+7) = 700
10d + 25d +175 = 700
35d +175 = 700
subtract 175 from each side
35d =525
d = 525 / 35 = 15
15 dimes
quarters = 15 +7 = 22
What is the equation of the exponential graph shown?
Please help :'(
The equation of the exponential graph is y = 100(0.5)^x
How to determine the exponential equation?On the graph, we have the following points
(x,y) = (0,100) and (1,50)
An exponential equation is represented as:
y = ab^x
Where a = y, when x = 0.
This means that
a = 100
So, we have:
y = 100b^x
At the point (1,50), we have:
50 = 100b^1
Evaluate
50 = 100b
Divide both sides by 100
b = 0.5
Substitute b = 0.5 in y = 100b^x
y = 100(0.5)^x
Hence, the equation of the exponential graph is y = 100(0.5)^x
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The area of a triangle varies jointly with the height of the triangle and the length of its base. The area of one triangle is 150 square centimeters when its height is 20 centimeters and its base length is 15 centimeters. What is the area of a triangle having a height of 30 centimeters and a base length of 18 centimeters?
The area of the triangle is 270 square centimeters.
Explanation:To find the area of a triangle, we can use the formula A = (1/2)bh, where A represents the area, b represents the base length, and h represents the height. In this case, we are given the area of one triangle (150 square centimeters) when its height is 20 centimeters and its base length is 15 centimeters. Plugging these values into the formula, we get:
A = (1/2)(15)(20) = 150
Now, we can use this equation to find the area of another triangle with a height of 30 centimeters and a base length of 18 centimeters:
A = (1/2)(18)(30) = 270 square centimeters
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Simplify
4.4² + 5 =
5.10÷15−3=
6.2 ⋅ 72−10(9+1)3=2 · 72−10(9+1)3=
Compare the graphs of the pair of functions. Describe how the graph of the second function relates to the graph of the first function. y=-2(x) and y=-2(x)-3
The graph of the function y = -2 - 3 is shifted down 3 units from the graph of the function y = -2x.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The equations of the functions are:
y -2x
y = -2x - 3
The graph of the function y = -2x will be a straight line that is passing through origin (0, 0).
Applying transformation to the graph of the function y = -2x
y = -2x - 3
As we can see in the graph:
The graph y=-2x - 3 is shifted down 3 units from y = -2x
Thus, the graph of the function y = -2 - 3 is shifted down 3 units from the graph of the function y = -2x.
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A truck travels on the highway at a speed of 72 miles per hour. What is the speed of the truck in feet per second
The speed of the truck in feet per second will be 105.6 ft per second.
What is unit conversion?To convert any unit into another is called a unit conversion.
In order to convert units, we need to care about their dimensions their dimension should not be changed.
For example conversion of a kilometer to a meter is to multiply by 1000 but meter and kilometer both unit is for distance only.
Another example could be kilo gram to gram.
1 mile = 5280 feet
And
1 hour = 60 minutes
1 hour = 60 × 60 seconds = 3600 seconds
Now
Given the speed of the truck is
⇒ 72 miles/hour
⇒ 72 × 1 mile/1 hour
⇒ 72 × 5280 feet/3600 seconds
⇒ 105.6 feets/second
Hence "The speed of the truck in feet per second will be 105.6 ft per second".
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What two things hindered the growth of Spanish colonies??
Final answer:
The growth of Spanish colonies was hindered by the vast distance between the colonies and Spain, restrictive economic policies, environmental depletion, exploitation of resources, and conflict. The decline in indigenous populations and internal governmental strife also played significant roles.
Explanation:
Factors Hindering the Growth of Spanish Colonies
The growth of the Spanish colonies was hindered by several factors after the initial period of discovery and conquest. First, the distance and the expanse of the Atlantic Ocean created significant challenges for effective communication and administration between the colonies and Spain. Second, the rigid economic policies imposed by the Spanish Crown, which restricted colonial trade to raw materials to Spain and finished goods from Spain, limited economic diversification and local development.
Additionally, environmental depletion and exploitation of resources, alongside harsh treatment and violence against Indigenous populations, led to a decrease in the native labor force. As a substitute, the Spanish were compelled to import African slaves, which transitioned the labor system but did not solve the inherent problems of the colonial economy.
The desire for precious metals, such as silver and gold, and the competition for conversion to Catholicism often came at a substantial human cost, leading to significant loss of indigenous life due to disease and conflicts. Revolts and uprisings, such as the Pueblo Revolt, as well as internal government conflicts and higher tax burdens on the Criollos were also among the contributing factors that hindered the growth and stability of Spanish colonies.
Is (1,-4) a solution to the equation y=-2x?
Yes or no? Please help /:
Carlos Martin received a statement from his bank showing a balance of $56.75 as of March 15. His checkbook shows a balance of $87.37 as of March 20. The bank returned all the cancelled checks but two. One check was for $5.00 and the other was for $13.25. How much did Carlos deposit in his account between March 15 and March 20? A. $125.87 B. $162.37 C. $11.22 D. $48.87
Name the property shown by the statement.
2 + 5 = 7
Which line is horizontal? A. y = 2 B. y = 2x C. y = −2x D. y = x
25 POINTS!!!!!!!!!!!!!!!!!!!!!!
Determine the graph of (f-g)(x) when f(x)=1/x and g(x)=sqrt(x).
The answer choices are in order A B C D.
What is the value of the expression when a = 4 and b = 2? open study?
Solve for x.
x/2 ≥ −4
x ≥ −8
x ≥ −2
x ≤ −8
x ≤ −2
Solve for t.
−3t ≥ 39
t ≤ 13
t ≤ −13
t ≥ −13
t ≥ 13
Solve for x.
−6 ≥ 10−8x
x ≤ −2
x ≥ −2
x ≤ 2
x ≥ 2
Solve for d.
5+d > 5−d
d > 6
d > 0
d > −10
d < −5
Solve for x.
4(x+) ≤ 4x+3
x ≤ 1
x ≤ 7
no solution
all real numbers
Number 3. is wrong the correct answer is D.
A = Pe^rt
Can you please help me solve for t?
I've tried using logs to isolate it, but I'm not good with logs and I couldn't figure it out.
Suppose that during a speech, (x – 4)2 students protested. If 36 students protested, what are the possible values of x?
Suppose a jet travels 60 kilometers in 5 minutes how many kilometers will it travel in 2 hours?in 6 hours ? In 6 hours it will travel?
It is found that in 2 hrs, the jet will travel 1,440 kilometers. And in 6 hrs, the jet will travel 4,320 kilometers.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers.
We can calculate this using the following steps:
60 kilometers in 5 minutes
x kilometers in 2 hours = 120 minutes
Therefore,
60 ( 120 )= 5 x
x = 60 ( 120 / 5)
x = 1440 kilometers
y kilometers in 6 hours = 360 minutes
60 (360) = 5 y
y = 60 ( 360 / 5)
y = 4320 kilometers
Hence, It is found that in 2 hrs, the jet will travel 1,440 kilometers. And in 6 hrs, the jet will travel 4,320 kilometers.
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which choice below represents the correct domain for an exponential growth or decay function?
a. {x | x > 0}
b. {y | y > 0}
c. x= 0
d. {x | x E R}
What is a factored form of the following expression?
5x squared - 20x
A. 5(x squared - 4)
B. 5(x - 2) squared
C. 5x (x-4)
D. (5x-4)(x+5)
Rivka and Sara are sisters and contestants on a survival reality tv show. They must each build a raft that will ultimately carry them off the island. Rivka can build her raft in 5 days. Sara can build her raft in 6 days. Though, as sisters, they sometimes fight, they decided to work together to build their rafts. How many days will it take Rivka and Sara to build their two rafts? (Round your answer to one decimal.)
Final answer:
Rivka and Sara can build their two rafts together in approximately 5.5 days, as they have a combined work rate of 11/30 rafts per day when they work together.
Explanation:
Rivka and Sara, working together to build their rafts, would combine their work rates to find out how many days it will take to build two rafts. Rivka can build a raft in 5 days, which means her work rate is 1 raft per 5 days or 1/5 raft per day. Sara can build a raft in 6 days, equating to a work rate of 1/6 raft per day.
When they work together, their combined work rate is 1/5 + 1/6 rafts per day. To combine these, we find a common denominator:
1/5 + 1/6 = (6 + 5) / 30 = 11/30 rafts per day
The question asks how long it takes to build two rafts. Therefore, we divide the total number of rafts by their combined work rate:
2 rafts / (11/30 rafts per day) = (2 * 30) / 11 days = 60/11 days ≈ 5.5 days
Hence, Rivka and Sara will take approximately 5.5 days, or 5.5 days rounded to one decimal, to build two rafts if they work together without stopping.
Can someone please help me? ill give brainliest for correct answer!
The graph below shows the number of spoons arranged on different numbers of tables in a room:
What does the point (1, 10) on the graph represent?
The ratio of spoons to tables is 11:1.
There are 10 spoons for every 1 table.
The ratio of tables to spoons is 11:1.
There are 10 tables for every 1 spoon.
A squirrel runs 3.4 meters east and then 6.9 meters south, then another 5.2 meters east what is the distance the squirrel traveled?
Ryan works at the car wash making $5.30 per hour plus tips. Last week Ryan worked 32 hours and earned $403. How much in tips did Ryan make last week?
a. $86.40
b. $148.00
c. $169.60
d. $233.40
Answer:
Option d.
Step-by-step explanation:
Ryan works at the car wash and earns = $5.30 per hour plus tips.
His earning from 32 hours of work = 32 × 5.30 = $169.60
He total earned = $403.00
Therefore, he earned from tips = $403 - $169.60
= $233.40
Ryan earned in tips $233.40.
22>= 5(2y+3)-3y how do I solve this
Final answer:
To solve the inequality 22 >= 5(2y+3)-3y, we distribute the 5, combine like terms, then isolate and solve for y, showing that y must be less than or equal to 1.
Explanation:
To solve the inequality 22 >= 5(2y+3)-3y, follow these steps:
Distribute the 5 into the parentheses: 22 >= 10y + 15 - 3y.Combine like terms on the right side: 22 >= 7y + 15.Subtract 15 from both sides to isolate the term with y: 7 >= 7y.Divide both sides by 7 to solve for y: y <= 1The final answer is that y must be less than or equal to 1.
Which expression represents the distance the two points, X and Y, on the number line?
|-4-7| is the expression represents the distance the two points, X and Y, on the number line
What is Number system?A number system is defined as a system of writing to express numbers.
Number line is a picture of a graduated straight line that serves as visual representation of the real numbers.
The x point is at minus four and y is at point three.
The distance will be always positive
As we count the units from -4 to 3 we get seven humps.
So the distance will be 7 units.
This we can get by taking |-4-3| which is |-7|=7 units.
Hence, |-4-7| is the expression represents the distance the two points, X and Y, on the number line
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the expression 2x+50 represents the elevation above sea level, in meters, of a rock climber after x minutes of climbing.
Which is the rock climbers initial height above sea level?
Enter your answer in the box.
The rock climbers initial height above sea level is:
50 meters.
Step-by-step explanation:The expression which is used to represent the elevation above sea level, in meters, of a rock climber after x minutes of climbing is given by:
2x+50
Now, we are asked to find the rock climbers initial height above sea level i.e. we are asked to find the value of the expression when x=0.
Hence, when x=0 we have:
2x+50=2×0+50
= 50
Hence, the answer is: 50 meters.