The probability that Tuesday follows Monday in a week is 100%, or 1/1, since it is always true that Tuesday comes after Monday in a week. Expressed as a percentage, the probability is 100%.
Answer:
100%
Step-by-step explanation:
because according to our calendars, Tuesday is always after monday so the probability as percent is 100%.
What is the increase in Fahrenheit temperature if the Celsius temperature increases by 7°?!
The increase in Fahrenheit temperature is of 12.6 degrees.
What is the increases in Fahrenheit temperature?The formula to have a change of units is:
To convert Celsius to Fahrenheit, you can use the formula:
°F = (°C x 1.8) + 32
(So you are correct, the rate is 9/5 = 1.8)
The increase of 7°C wold be given by the difference:
increase = ((°C + 7°) x 1.8) + 32 - (°C x 1.8) + 32
Solving that equation we can see that
increase = 12.6°F
Learn more about temperature:
https://brainly.com/question/25677592
#SPJ1
Answer:
he increase in Fahrenheit temperature is of 12.6 degrees.
What is the increases in Fahrenheit temperature?
The formula to have a change of units is:
To convert Celsius to Fahrenheit, you can use the formula:
°F = (°C x 1.8) + 32
(So you are correct, the rate is 9/5 = 1.8)
The increase of 7°C wold be given by the difference:
increase = ((°C + 7°) x 1.8) + 32 - (°C x 1.8) + 32
Solving that equation we can see that
increase = 12.6°F
Learn more about temperature:
brainly.com/question/25677592
#SPJ1
Step-by-step explanation:
Christo wants to buy a small wine farm worth R8 500 000. He plans to sell his current home for R3 400 000 which he will use as a deposit for the purchase of the farm. He secures a loan with a bank with a repayment period of 10 years and an interest rate of 9, 5% compounded monthly. Calculate his monthly repayments.
Christo's monthly repayments for a loan of R5,100,000 for 10 years at 9,5% interest compounded monthly is R65,992.75.
How is the monthly repayments determined?The monthly repayments can be determined using an online finance calculator as follows:
The monthly repayments show the periodic payments to settle the loan.
Wine Farm Price = R8,500,000
Down Payment = R3,400,000
Loan Term = 10 years
Interest Rate = 9.5%
Start Date = Apr. 2023
Monthly Pay: R65,992.75
Loan Amount = R5,100,000.00
Total of 120 Mortgage Payments = R7,919,130.52
Total Interest = R2,819,130.52
Mortgage Payoff Date = Apr. 2033
Learn more about monthly payments at https://brainly.com/question/27926261.
#SPJ1
Given f(x)
, find g(x)
and h(x)
such that f(x)=g(h(x))
and neither g(x)
nor h(x)
is solely x.
f(x)=−square root of x+4 minus 3
The functions g(x) = -√x - 3 and h(x) = x + 4 meet the requirements, and f(x) = g(h(x)) is true for f(x) = -√(x+4) - 3.
We are given f(x) and we need to find functions g(x) and h(x) such that f(x) = g(h(x)). The given function is f(x) = -√(x+4) - 3.
To find g(x) and h(x), we can split the given function into two simpler functions. Let's first look at the inner function, which deals with the input of the square root. We can define h(x) as the function inside the square root, which is:
h(x) = x + 4
Now we need to find g(x) such that when h(x) is plugged into it, we get the original function f(x). Since we have the square root and a subtraction, we can define g(x) as:
g(x) = -√x - 3
Now let's verify if f(x) = g(h(x)):
g(h(x)) = g(x + 4) = -√(x + 4) - 3
As you can see, g(h(x)) = f(x), which confirms that the functions g(x) and h(x) we found satisfy the condition.
To know more about functions here:
https://brainly.com/question/12431044
#SPJ1
Which linear equation is represented in the graph?
A. y = x – 1
B.y = 2x – 1
C. y = x + 1
D. y = 3x – 1
1. The possible missing terms to make x²_____+100 a perfect square trinomial are
a. 4x and 25x.
b. -10x and 10x.
c. -20x and 20x.
d. -4x and -25x.
Answer:
c. -20x and 20x
Step-by-step explanation:
x² is the square of x.
100 is the square of 10 and of -10.
The middle term of (a + b)² is 2ab.
For b = 10:
2ab = 20x
for b = -10:
2ab = -20x
Answer: c. -20x and 20x
In each figure, all b. Determine whether the third figure is a translation image of the first figure. Write yes or no. Explain
your answer.
미미미
a. Yes; it is one reflection after another with respect to the two parallel lines.
b. No; it is a reflection followed by a translation.
c. No; it is a reflection followed by a rotation.
d.
No; it is one reflection after another with respect to the two parallel lines.
Answer:
a
Step-by-step explanation:
A mountain climber is at an elevation of 10,000 feet. If she descends 2,000 feet a day, which equation would be used to show how many days it will take to reach sea level (0 feet)?
-10,000 ÷ (-2,000)
-10,000 ÷ 2,000
10,000 ÷ 2,000
10,000 ÷ (-2,000)
Answer: The correct equation to use is, C. 10,000 ÷ 2,000
Which simplifies to: 5
Therefore, it will take 5 days for the mountain climber to descend from an elevation of 10,000 feet to sea level, assuming they descends at a constant rate of 2,000 feet per day.
Learn more: https://brainly.com/question/31855547
ILL GIVE 20 POINTS !!!! PLSS HELP ASAP
Answer: 10/40 or 1/4
Step-by-step explanation:
Add up all the amount of rolls, so 10+6+4+8+6+6=40
then add the probability of rolling a 3 or 6 = 10
divide that quantity out of the whole
answer is 10/40 and simplified is 1/4
hope it helps
Simplify each of the following exponential expressions. a. 7⁴= ? b. (–10)⁴= ? c. 5¹ = ? d. 0⁴= ? e. –6²= ? f. –3⁰= ?
The exponential expressions when simplified are 2401, 10000, 5, 0, 36 and 1
Simplifying each of the exponential expressionsFrom the question, we have the following parameters that can be used in our computation:
The exponential expressions a to f
The general rule is that
a^b = a * a * a..... in b places
Using the above as a guide, we have the following:
a. 7⁴ = 7 * 7 * 7 * 7 = 2401
b. (–10)⁴ = (–10) * (–10) * (–10) * (–10) = 10000
c. 5¹ = 5
d. 0⁴ = 0 * 0 * 0 * 0
e. –6² = -6 * -6 = 36
f. –3⁰ = 1
Read more about expressions at
https://brainly.com/question/15775046
#SPJ1
Drop the ball from a height equal to one of your group member's height (high is 5.3)
Determine the amount of time the ball takes to touch the ground (with a timer)
Time to touch the ground: 1.08 seconds
Initial velocity of the ball: ) ft/sec
Plug the initial velocity and the time to touch the ground into:
-16t^2 + v X t+h=0
Solve your equation for h. Based on the height of the person you dropped the ball from, how accurate is your answer for h?
The time taken for the ball to touch the ground is 0.61 s.
What is the time of motion of the ball?The time taken for the ball to touch the ground is calculated by applying the following method.
-16t² + vt + h = 0
where;
v is the initial velocity of the ballh is the height of fall of the ballt is the time of motionwhen the height of the ball = 5.3 ft, with initial velocity = 1.08 ft/s, the time of motion of the ball is calculated as follows;
-16t² + vt + h = 0
-16t² + 1.08t + 5.3 = 0
16t² - 1.08t - 5.3 = 0
solve the quadratic equation, using formula method;
a = 16, b = -1.08, c = -5.3
t = 0.61 second.
Learn more about time of motion here: https://brainly.com/question/24739297
#SPJ1
Which of the following questions about a particular animal could NOT be answered using only the data collected for the tracking collars?
The question about a particular animal that could NOT be answered using only the data collected from the tracking collars would be do the movement patterns of the animal vary according to the weather? That is option C.
What are tracking collars?A tracking collars is a neck device that usually has a GPS device attached to it which is used by biologists to track the movement of animals that are under study.
The functions of the tracking collars include the following:
It allows them to note how many miles the animal can travel in a given time.It allows them to note the pattern of movement of the animals.It allows them to note the location preferred by the animal to travel.Learn more about tracking here:
https://brainly.com/question/30633995
#SPJ1
Complete question:
Biologists often attach tracking collars to wild animals. For each animal, the following geolocation data is collected at frequent intervals.
The time
The date
The location of the animal
Which of the following questions about a particular animal could NOT be answered using only the data collected from the tracking collars?
A. Approximately how many miles did the animal travel in one week?
B. Does the animal travel in groups with other tracked animals?
C. Do the movement patterns of the animal vary according to the weather?
D. In what geographic locations does the animal typically travel?
C. Do the movement patterns of the animal vary according to the weather?
A cyclist managed to ride 5 miles against the wind in the same time that it took him to ride 10 miles with the wind. If the wind speed is 4 mph, which equation can be used to calculate the cyclist’s average rate of speed in miles per hour?
Answer:
Step-by-step explanation:
Average Rate of Speed = Distance / Time
Average Rate of Speed = (5 + 10) / (Time with the Wind + Time Against the Wind)
Average Rate of Speed = 15 / (Time with the Wind + Time Against the Wind)
Average Rate of Speed = 15 / (10/4 + 10/6)
Average Rate of Speed = 15 / (2.5 + 1.67)
Average Rate of Speed = 15 / 4.17
Average Rate of Speed = 3.59 mph
The ratio of the reclusive to gregarious was 3 to 14. And 15,300 lived in the valley, how many were gregarious?
The ratio of gregarious that lived in the valley is 126,00
What is Ratio?Ratio is the comparison of two quantities of the same kind or for comparing two or more quantities that are measured in the same units. It is also is a relationship between two things when it is expressed in numbers or amounts.
How to determine this
The total who lived in valley = 15,300
The ratio of Reclusive = 3
The ratio of Gregarious = 14
And the ratio of reclusive gregarious = 3 : 14
The total ratio = 3 + 14 = 17
To calculate the total amount of gregarious
= 14/17 * 15,300
= 12,600
Therefore, the total amount of gregarious is 12,600
Read more about 12,600
https://brainly.com/question/29056315
#SPJ1
Polygon ABCD is drawn with vertices at A(1, 5), B(1, 0), C(−1, −1), D(−4, 2). Determine the image vertices of A′ if the preimage is rotated 270° counterclockwise.
A′(−1, −5)
A′(−1, 5)
A′(−5, 1)
A′(5, −1
Answer:
(d) A'(5, -1)
Step-by-step explanation:
You want the coordinates of A(1, 5) after it has been rotated 270° CCW about the origin.
RotationThe transformation for rotation 270° CCW is the same as that for rotation 90° CW:
(x, y) ⇒ (y, -x)
For the given point, this is ...
A(1, 5) ⇒ A'(5, -1)
The image of A is A'(5, -1), choice D.
Alina wants to make keepsake boxes for her two best friends. She doesn't have a lot of money, so she wants to make each box described so that it holds as much as possible with a limited amount of material.
For Jen, Alina wants to make a box with a square base whose sides and base are made of wood and whose top is made of metal. The wood she wants to use costs 5 cents per square inch, while the material for the metal top costs 12 cents per square inch. What is the largest possible box (in terms of volume measured in cubic inches) that Alina can make for Jen if she only has $30.00 to spend on materials? (Round your answer to three decimal places.)
Answer:
So Alina can make a box with dimensions 8.445 inches by 8.445 inches by 8.445 inches (with a metal top) that will hold approximately 606.526 cubic inches.
Step-by-step explanation:
Let's assume that the length of one side of the square base of the box is "x". Then the height of the box is also "x" to maximize the volume.
The surface area of the box (excluding the top) is given by:
2(x^2) + 4(x^2) = 6(x^2)
The surface area of the metal top is:
x^2
The total surface area of the box is the sum of the surface area of the box and the surface area of the metal top:
6(x^2) + x^2 = 7(x^2)
The cost of the wood for the box is:
5 cents per square inch * 6(x^2) = 30x^2 cents
The cost of the metal for the top is:
12 cents per square inch * x^2 = 12x^2 cents
The total cost of the box is:
30x^2 + 12x^2 = 42x^2 cents
We want to find the maximum volume of the box that can be made with $30, which is 3000 cents. Therefore, we can set up the equation:
42x^2 = 3000
Solving for x, we get:
x^2 = 71.429
x ≈ 8.445
Therefore, the maximum volume of the box is:
V = x^2 * x = (8.445)^3 ≈ 606.526 cubic inches.
So Alina can make a box with dimensions 8.445 inches by 8.445 inches by 8.445 inches (with a metal top) that will hold approximately 606.526 cubic inches.
In 2016 , a clinical study in a small town of New Hampshire found that about 13 % of its population had the flu . The study also showed that 19 % of the people who had the flu tested negitive while 8% of of the people who did not have the flu tested positive . based on the given information construct a realative frequency table.
The relative frequency of a person having the flu and testing positive for the flu is 0.1053/0.901 = 0.117, or approximately 11.7%. The relative frequency table is given below.
To get the relative frequencies, we divide each cell value by the total frequency of the table.
This is how we construct relative frequency table.
To construct a relative frequency table, we need to determine the different possible outcomes and their corresponding frequencies based on the given information.
Let's define the following events:
A: a person has the flu
B: a person tests positive for the flu
Then, using the information given in the problem, we can construct the following relative frequency table:
A (has the flu) not A (does not have the flu) Total
B 0.13*0.81 = 0.1053 0.08*0.87 = 0.0696 0.1749
not B 0.19*0.81 = 0.1540 0.63*0.87 = 0.5471 0.7011
To 0.2843 0.6171 0.901
In this table, the values in the cells represent the product of the probability of the row event and the probability of the column event. For example, the value 0.1053 in the top left cell represents the probability of a person having the flu (event A) and testing positive for the flu (event B), which is calculated as 0.13 x 0.81.
The total frequency for each row and column is calculated by summing the values in that row or column. The total frequency for the entire table is the sum of all the values, which is 0.901 in this case.
To learn more about relative frequency here:
https://brainly.com/question/29739263
#SPJ1
4. Malaki has a 'no interest-free period' credit card that charges 16.5% p.a. interest. On 9 January he purchases a phone costing K395.00. His January statement is dated 28 January and the phone is the only item on it.
a. How much interest is charged on the January credit card statement?
b. Malaki pays K100.00 off the amount owed on 28 January and makes no more purchases or payments before the next credit card statement arrives on 28 February. How much will this statement show that Malaki owes?
Answer:
K5.60.
Step-by-step explanation:
A poll showed that 53.2% of Americans say they believe that statistics teachers know the true meaning of life. What is the probability of randomly selecting someone who does not believe that statistics teachers know the true meaning of life. Round to 3 decimal places.
The probability that a statistics teachers do not know the true meaning of life is 46.8%
What is the probability of someone who does not believeFrom the question, we have the following parameters that can be used in our computation:
53.2% of Americans say they believe that statistics teachers know the true meaning of life.
This means that
P(Believe) = 53.2%
For the required probability, we have
P(Not believe) = 1 - P(Believe)
So, we have
P(Not believe) = 1 - 53.2%
Evaluate
P(Not believe) = 46.8%
Hence, the probability that a statistics teachers do not know the true meaning of life is 46.8%
Read more about probability at
https://brainly.com/question/24756209
#SPJ1
1/3 divided by 2/9 simplified?
Answer:3/2
Step-by-step explanation:
1/3 ÷ 2/9=
1/3 ×9/2=3/2
Answer:
3/2 u can also do 1 1/2 their equivalent fractions
Step-by-step explanation:
sorry about the handwriting :) not the best
The fucntion F is defined by f(x) =12/x +1/2. Find each value of th e fucnction. F(3)
The function f(x) = 12/x + 1/2 is given. To find f(3), we substitute x=3 in the function expression and simplify: f(3) = 12/3 + 1/2 = 4 + 0.5 = 4.5. Therefore, the value of the function f at x=3 is 4.5.
To find f(3) for the function f(x) = 12/x + 1/2. Start with the given function f(x) = 12/x + 1/2. Replace x with 3: f(3) = 12/3 + 1/2. Simplify the first term: 12/3 = 4
Add the two terms: f(3) = 4 + 1/2
Convert the mixed number to an improper fraction: 4 + 1/2 = 8/2 + 1/2 = 9/2
Simplify the fraction: 9/2 = 4 1/2
So, f(3) = 4 1/2 or 9/2, depending on the desired form of the answer.
To know more about function:
https://brainly.com/question/12431044
#SPJ1
A circular racetrack has a circumference of one mile. What is the diameter of the racetrack in feet?
The diameter of the racetrack in feet is 1,681.53 feet.
How to calculate the circumference of a circle?In Mathematics and Geometry, the circumference of a circle can be determined by using the following mathematical equations:
C = πD or C = 2πr
Where:
C represents the circumference of a circle.D represents the diameter of a circle.r represents the radius of a circle.Conversion factor;
1 mile = 5280 feet
By substituting the given parameters into the formula for the circumference of a circle, we have the following;
5280 = 3.14 × D
Diameter, D = 5280/3.14
Diameter, D = 1,681.53 feet.
Read more on a circle here: brainly.com/question/6615211
#SPJ1
Fred brought a shirt and a wallet for a total of 34.26 before tax. The price of the wallet was $15 less than the price of the shirt. What was the price of the shirt?
Answer:
The price of the shirt is $24.63.
Step-by-step explanation:
Let's assume the price of the shirt is x. Then the price of the wallet will be x - 15. We know that the total cost before tax is 34.26, so we can set up the equation:
x + (x - 15) = 34.26
Simplifying, we get:
2x - 15 = 34.26
Adding 15 on both sides:
2x = 49.26
Dividing by 2:
x = 24.63
Therefore, the price of the shirt is $24.63.
5/3X + 1/3X= 2 2/3+ 8/3X
The solution of the given equation 5X/3 + X/3 = 2 (2/3) + 8X/3 is, X = - 4.
The equation is a mathematical statement involving mathematical variable, numerical values, mathematical operation with a equal sign.
The given equation is,
(5/3)*X + (1/3)*X = 2 (2/3) + (8/3)*X
Solving the equation we get,
5X/3 + X/3 = (2*3 + 2)/3 + 8X/3
5X/3 + X/3 - 8X/3 = (6 + 2)/3
(5X + X - 8X)/3 = 8/3
- 2X/3 = 8/3
- 2X = 8
X = 8/(-2)
X = - 4
Hence the solution is, X = - 4.
To know more about equation here
https://brainly.com/question/17145398
#SPJ1
Which best demonstrates the way consumers and producers influence each other in the free-market system? O assembly line Circular-flow model downward spiral O flow chart
Answer:
The best choice is:
Circular-flow model
The circular-flow model demonstrates how consumer demand and production supply influence each other in a market economy. Some key points:
• Consumers demand goods and services by spending money (aggregate demand). This drives production.
• Producers supply goods and services to meet demand (aggregate supply). But supply depends on and influences demand.
• There is a continuous flow and feedback loop between consumers, producers, and the money/resources flowing between them.
The circular-flow model highlights this interconnectedness and interdependence. It shows how consumer spending drives production, which in turn enables more consumer spending, and so on. Changes in demand, supply, spending or consumption ripple through the economy.
The other choices do not accurately represent this relationship:
• Assembly line - Focuses on supply-side production process, not the demand-supply feedback loop.
• Downward spiral - Implies a negative, self-defeating cycle rather than the mutually supporting feedback in the circular-flow model.
• Flow chart - Too generic. A flow chart could represent any process, not specifically the demand-supply relationship.
So in summary, the circular-flow model is the best choice as it demonstrates the way consumer demand and producer supply interact with and influence each other in a free market system. The circular flow of money, resources, supply and demand relies on this interconnection.
Does this help explain the circular-flow model and why it is the best choice? Let me know if you have any other questions!
Step-by-step explanation:
Use a net to find the surface area of the prism.
A. 426 m2
B. 213 m2
C. 306 m2
D. 336 m2
The surface area of the rectangular prism in this problem is given as follows:
A. 426 m².
What is the surface area of a rectangular prism?The surface area of a rectangular prism of height h, width w and length l is given by:
S = 2(hw + lw + lh).
This means that the area of each rectangular face of the prism is calculated, and then the surface area is given by the sum of all these areas. -> net method.
By the net method, the prism is divided as follows:
Two rectangles of dimensions 5 m and 12 m.Two rectangles of dimensions 5 m and 9 m.Two rectangles of dimensions 12 m and 9 m.Hence the surface area of the prism is given as follows:
S = 2(5 x 12 + 5 x 9 + 12 x 9)
S = 426 m².
More can be learned about the surface area of a rectangular prism at https://brainly.com/question/1310421
#SPJ1
Which expression is equivalent to 3w-4-w-93w−4−w−9?
A 2w-13
b 4w - 13
c 2w + 5
d -w - 13
Answer: A
Step-by-step explanation:
To simplify 3w-4-w-9, we need to combine the like terms (terms that have the same variable and exponent).
3w - w = 2w
-4 - (-9) = -4 + 9 = 5
So,
3w - 4 - w - 9 = 2w - 13
Therefore, the expression 3w-4-w-9 is equivalent to 2w-13, which is option A.
hey guys, im b-o-r-e-d in class... what should i do?
Answer:
Do whatever you want, but paying attention would really help you.
Step-by-step explanation:
If you find yourself bored in class, consider the following options to make the most of your time and stay engaged:
1. Actively participate: Ask questions, contribute to discussions, and try to engage with the material. Active participation can make the class more interesting and help you retain the information better.
2. Take notes: Focus on taking detailed notes, even if you think you understand the material. This will help you stay engaged and make it easier to review the content later.
3. Find connections: Try to relate the class material to your interests or real-world applications. This can make the content more engaging and relevant.
4. Set learning goals: Set specific learning objectives for each class, and try to achieve them during the session. This can help you stay focused and motivated.
5. Practice active listening: Pay attention to the teacher and try to understand the main points they are making. This can help you stay focused and better comprehend the material.
6. Break down the material: Divide the content into smaller chunks and focus on understanding each part. This can make the material more manageable and engaging.
7. Speak with your teacher: If you're consistently bored in class, consider discussing your concerns with your teacher. They may be able to offer suggestions or modify their teaching approach to better suit your learning style.
Remember, it's essential to stay engaged in class to maximize your learning experience and make the most of your education.
Answer:
watch RUN BTS EPISODE simple
How to solve pre algebra?
Answer:
Pre-algebra is a fundamental branch of mathematics that deals with basic arithmetic operations, such as addition, subtraction, multiplication, and division, and introduces concepts like variables, equations, and inequalities. Here are some general steps to solve pre-algebra problems:
1. Identify the problem: Read the problem carefully and identify what it is asking you to do. Identify the key information and any variables that are given.
2. Translate the problem: Translate the problem into an equation or inequality, using variables to represent unknown quantities.
3. Solve the equation or inequality: Use algebraic manipulation to solve for the variable. Follow the order of operations and simplify the expression as much as possible.
4. Check your answer: Verify that your solution is correct by plugging it back into the original equation or inequality and making sure that it satisfies the conditions of the problem.
It's important to practice pre-algebra problems regularly to develop your problem-solving skills. You can find practice problems and tutorials online or in textbooks, and you can work with a tutor or teacher to get additional help. Remember to stay patient, focused, and positive, and don't be afraid to ask for help if you need it.
The vector (6,-5) is reflected across the line y=x, and the resulting matrix is dilated by a scale of -1.5
(7.5, -9) is the final value after reflection and dilation.
To reflect a vector across the line y=x, we switch the x and y coordinates. Therefore, the reflection of (6,-5) across the line y=x is (-5,6).
To dilate a vector by a scale of -1.5, we multiply the vector by -1.5. Therefore, the resulting vector is (-5,6) multiplied by -1.5, which gives us:
(-5,6) * (-1.5) = (7.5, -9)
So the final result after the reflection and dilation is (7.5, -9).
Learn more about vectors here:
https://brainly.com/question/24256726
#SPJ1
simplify the expression 4√ 2 + 2√ 32? 12/2 6/32 12/32 36/2
The solution is, simplification of the expression 4√ 2 + 2√ 32 is 12√2 .
We know that,
An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Here, given expression is,
4√ 2 + 2√ 32
=4√ 2 + 2√ 16 × 2
we know that,
√16 = 4
so, we get,
=4√ 2 + 2√2 × 4
=4√ 2 + 8√2
=12√2
Hence, The solution is, simplification of the expression 4√ 2 + 2√ 32 is 12√2 .
To learn more on Expression click:
brainly.com/question/14083225
#SPJ1
