Answer:
5Step-by-step explanation:
The slope of a line given two points can be found by using the formula
\(m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1}\\\)
From the question we have
\(m = \frac{5 - 0}{5 - 4} = \frac{5}{1} = 5 \\ \)
We have the final answer as
5Hope this helps you
100 POINTS!!!
What two ratios can be written for the following illustration comparing oranges to bunches of bananas? (image of 12 oranges and 4 bananas) A. 12/4 and 1/3 B. 4/12 and 3/1 C. 3/3 and 1/1 D. 12/4 and 3/1
Answer:
D. 12/4 and 3/1Step-by-step explanation:
What two ratios can be written for the following illustration comparing oranges to bunches of bananas? (image of 12 oranges and 4 bananas) A. 12/4 and 1/3 B. 4/12 and 3/1 C. 3/3 and 1/1 D. 12/4 and 3/1
12 oranges and 4 bananas is
12/4
semplify
3/1
Answer:
D
Step-by-step explanation:
HELP ME IM TOTALLY LOST AND HAVE A HARD TIME ASKING PEOPLE FOR HELP
Answer:
a. 1,323,002
Step-by-step explanation:
The number of story books owned by eight classmates is shown below: 8, 9, 9, 7, 8, 6, 9,8 Part A: What is the mean of the data? Show your work. (4 points) Part B: Use your answer from Part A to calculate the mean absolute deviation for the data. Show your work. (6 points)
Solution
Given the data:
8, 9, 9, 7, 8, 6, 9,8
\(\text{ mean }=\frac{8+9+9+7+8+6+9+8}{8}=8\)Part B
\(\begin{gathered} \text{ Mean Deviation}=\frac{\Sigma|x-\mu|}{N} \\ \\ =\frac{|8-8|+|9-8|+|9-8|+|7-8|+|8-8|+|6-8|+|9-8|+|8-8|}{8} \\ \\ =\frac{0+1+1+1+0+2+1+0}{8} \\ \\ =\frac{6}{8} \\ \\ =\frac{3}{4}=0.75 \end{gathered}\)find the simple interesr on ₹20000 for 4 ¹/2 years at 8¹/2% per anum
Answer:
7650 rupees
Step-by-step explanation:
Use I = Pnr
Here P = Principal = 20000 rupees
n = time = 4.5 years
r = rate of interest = 8.5% = 8.5/100
Which sequence shows the numbers in order from least to greatest?
A. -2.14<3.16227766017<2.8
B. 2.8<3.16227766017<2.14
C. 2.14<3.16227766017 <2.8
D. 2.14<2.8<3.16227766017
The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.
The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.What is the meaning of the inequality symbols?The inequality symbols are mathematical symbols that are used to compare two values.
They indicate the relationship between two values that are not equal to each other. Here are the inequality symbols:
< (less than)≤ (less than or equal to)> (greater than)≥ (greater than or equal to)What is the meaning of the sequence?
A sequence is a set of numbers arranged in a particular order. The order of the numbers in a sequence can be from smallest to largest or largest to smallest.
The sequence D. 2.14 < 2.8 < 3.16227766017 is arranged from smallest to largest because the first number in the sequence, 2.14, is the smallest, and the last number in the sequence, 3.16227766017, is the largest.
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WITH AN EQUATION
Marlen went to the mall and spent $35.75 on shoes. When she got home she had
$40.00 in her purse. Which equation can be used to find the amount of money she
started with?
Answer:
x-35.75=40.00
Step-by-step explanation:
Let's use m as our variable.
So Marlen went to the mall and spent $35.75 on shoes. When she got home she had $40.00 in her purse.
An equation to represent this is : x-35.75=40.00
If you are interested in the value of x it is $75.75
Xx
Which equation models the rational function shown in
the graph?
2(x+2)
X-2
O f(x) =
O f(x) = x-2
x+2
2(x-2)
x+2
Of(x)=.
O f(x) = x+2
X-2
At x=2, the function in the graph is approaches to infinity. This is satisfied by equation 1 that models the rational function, hence option 1 is the correct answer.
What is equation?A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For illustration, 2x - 5 = 13.
Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero.
From given graph we can see that
At x=2, the function in the graph is approaches to infinity.
It means function is not defined at x=2
We know that a rational function is undefined when denominator is equal to zero.
For equation 1:
f(x)= 2(x+2)/(x-2)
Equating the denominator:
x-2=0
x=2
It means function is not defined at x=2
The y-intercept is: y= -2
The function is passing through the point (1,-6).
When we substitute x=1
Hence, option 1 is true.
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SOMEONE PLEASE ANSWER. I'M CRYING AND DONT KNOW WHAT TO DO! I NEED YOUR HELP PLEASE!
A cafeteria serves lemonade that is made from a powdered drink mix. There is a proportional relationship between the number of scoops of powdered drink mix and the amount of water needed to make it. For every 2 scoops of mix, one half gallon of water is needed, and for every 5 scoops of mix, one and one fourth gallons of water are needed. Part A: Find the constant of proportionality. Show every step of your work. Part B: Write an equation that represents the relationship. Show every step of your work. Part C: Describe how you would graph the relationship. Use complete sentences. Part D: How many gallons of water are needed for 12 scoops of drink mix?
Below, you'll find a list of all the answers to the questions which are solved by using proportional relationship.
What is the fundamental formula for a straight line?The general equation for a straight line is y=mx + c, where m represents the line's slope and expresses the rate of change of y per unit time with respect to x.
The point where the graph crosses the y-axis is called the y-intercept, or c.
Direct proportionality is also represented by y = mx. We can express m as follows: m = y/x
OR
y₁/x₁ = y₂/x₂
In our cafeteria, lemonade is made using a powdered drink mix. The quantity of water required to manufacture a certain amount of powdered drink mix is proportional to the number of scoops required. For every 2 scoops of mix, 1/2 gallon of water is required, and for every 5 scoops,
1 1/4 gallons of water are required.
The proportional formula is written as y = k x.
Using the information provided, we can now write: 2 scoops require 0.5 gallon of water.
1.25 gallon of water is required for 6 scoops.
This means that k = 2/0.5
k = 2/(1/2)
k = 2 x 2
k= 4
Equations describing the relationship can be expressed as y = 4x + c.
0.5 gallon of water is now required for 2 scoops.
2=4(1/2)+c
2=2+c
c=0
Therefore, the formula will be y = 4x.
The end includes a graph for y = 4x.
12 scoops of water:
12=4x
x=3 gallons of water is needed.
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When an object is weighed on a scale, the number displayed may vary from the object’s actual weight by at most 0.4 pounds. The scale says the object weighs 125.8 pounds. Part A: Write an absolute value inequality that describes the range of the actual weight of the object. Use the variable w to represent the actual weight of the object. Part B: Solve the absolute value inequality for w. Express your answer as a compound inequality.
The compound inequality that represents the range of the actual weight of the object is 125.4 ≤ w ≤ 126.2.
Part A: The absolute value inequality that describes the range of the actual weight of the object is:
|w - 125.8| ≤ 0.4
Part B: To solve the absolute value inequality, we can break it down into two separate inequalities:
w - 125.8 ≤ 0.4 and - (w - 125.8) ≤ 0.4
Solving the first inequality:
w - 125.8 ≤ 0.4
Add 125.8 to both sides:
w ≤ 126.2
Solving the second inequality:
-(w - 125.8) ≤ 0.4
Multiply by -1 and distribute the negative sign:
-w + 125.8 ≤ 0.4
Subtract 125.8 from both sides:
-w ≤ -125.4
Divide by -1 (note that the inequality direction flips):
w ≥ 125.4
Combining the solutions, we have:
125.4 ≤ w ≤ 126.2
The object is 125.4 ≤ w ≤ 126.2.
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A repeating decimal + A fraction is
How to transform a repeating decimal into a fraction?
To convert a decimal into a fraction we would usuallly write it over 100 and if it can be simplified any further we would. On the other hand repeating decimals are a bit different.
Let‘s see how to convert them:
\(0.333333\)
Imagine this decimal goes on and on forever and I want to convert it into a
fraction:
1. First step is to multiply by a factor of 10 then misusing it by a factor of one which would give you a whole number.
So let’s say: \(0.33333 * 10 - 0.333333 * 1\)
- It’s because the digits match up to subtract to a whole number so if I find the value is would be 3/9 since 10 - 1 is equal to 9 and 3.3333 - 0.33333 would be 3 but I can simplify this to 1/3.
\(0.33333 = 1/3\)
Now let’s use this knowledge to calculat a value:
\(0.482482482 + 1/2\)
Let’s convert this repeating decimal into a fraction:
\(0.482482482 * 1000 - 0.482482482 * 1 = 482/999\)
I have multiplied it by 1000 because that’s when we minus it gives me a whole number: 482.
Okay know let’s add them together:
\(482/999+1/2\)
\(482*2/999*2+1*999/2*999=\)
\(964/1998+999/1998\)
\(1963/1998\)
So the answer to 1/2 + the repeating decimal(0.482482) is 1963/1998
If you would like to learn further:
Watch: Converting Repeating Decimal to Fraction on Khan Academy
Note: I can’t paste the link because it says it contains swear words!
Yousef is saving money to buy a new bike. He will save $8 per week. How much will he save in 6 weeks?
\(\frac{1-5}{6-3} =\frac{-4}{3} =\)
The value of the given fraction is -1.33.
What are Fractions?Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.
Here, a is called the numerator and b is called the denominator.
Any number can be expressed as fractions.
Given is an expression in fractions of the form,
(1 - 5) / (6 - 3) = (-4) / 3
Actually we got an improper fraction here.
Improper fractions have larger value on the numerator than the denominator.
If we need the answer in decimal form, just divide the number 4 by 3 and give negative sign for the answer.
So here the given answer is -1.33.
Hence the decimal form of the fraction (-4)/3 is -1.33.
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Please help I'll give Brainliest urgent!!!!!!!!!
Answer:
75
Step-by-step explanation:
the line in the middle of the box tells you the median
Consider the line y = -8x+5.
Find the equation of the line that is parallel to this line and passes through the point (-4, 5).
Find the equation of the line that is perpendicular to this line and passes through the point (-4, 5)
Answer:
parallel: y = -8x+-27
perpendicular: y= \(\frac{1}{8} +5\frac{1}{2}\)
Step-by-step explanation:
Which pair shows equivalent expressions?
O 24x+2)-2x+1
O 2(3x+2)= x+4
o 21&x+4)= 4x+2
o 21
Answer:
Your answer is
\(2 (\frac{2}{5} x + 2) = \frac{4}{5} x + 4\)
How does trig on the coordinate plane differ from trig with triangles?
Answer:
Trig ratios on coordinates can be negative or positive in value
But
Trig ratios on triangles can only be positive
Step-by-step explanation:
The difference is that, the length of sides used in trig on the coordinates is not absolute
What this mean is that it is dependent on the axes that we are and thus might take up a negative or positive value for trig on coordinates
What we are saying is that while trig on triangle can be positive only, trigonometric ratios on coordinates can be negative or positive
a teacher attempts to make a number cube unfair by drilling out the spots on one side and inserting lead weights. to determine if she was successful she rules the number cube 50 times and keeps track of the number of times she rolls a 1. she rolls a 1 15 times. She would like to know if the data provide convincing evidence that the proportion of roles will land on a one is greater than 1/6. are the conditions for inference met?
yes the conditions for infants are met
no, the 10% condition is not met
no, the large counts condition is not met
no the rain is condition is not met
Answer:
No, the Large Counts Condition is not met.
Step-by-step explanation:
edge 2021
The condition for inference met is no, the large count's condition is not met.
A teacher attempts to make a number cube unfair by drilling out the spots on one side and inserting lead weights. to determine if she was successful she rules the number cube 50 times and keeps track of the number of times she rolls a 1. she rolls a 1 15 times.
What is the interference?Interference is the phenomenon that occurs when two waves meet while traveling along with the same medium.
The interference of waves causes the medium.
She would like to know if the data provide convincing evidence that the proportion of roles will land on a one is greater than 1/6.
Therefore option second is correct.
That is no, the large count's condition is not met.
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You are buying 40 acres of farm land at a cost of $673,000.
What is the cost per acre?
What would the cost be for 60 acres?
Answer:
Each Acre costs $16,825
60 acres would cost $1,009,500
Step-by-step explanation:
To find the cost of each acre, divide the total cost (673,000) by the number of acres being bought (40)
You're answer is the price of one acre therefore, to find the cost for 60 acres, multiply the price of one acre (16,825) by 60.
P(z > c) = 0.8914
Find C
The value of c is given as follows:
c = -1.235.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.For this problem, we have that P(z > c) = 0.8914, meaning that Z when X = c has a p-value of 1 - 0.8914 = 0.1086, hence the value of c is given as follows:
c = -1.235.
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The approximate populations of Kentucky and North Dakota (as of 2019) are listed
below:
Kentucky: 4.47 × 106
North Dakota: 7.62 x 105
How many times greater was the population of Kentucky than the population of
North Dakota? Write your answer in standard notation, rounding to the nearest
tenth.
The population of Kentucky is nearly 5.9 times that of North Dakota.
How to determine How many times greater was the population of Kentucky than the population of North DakotaTo determine how many times larger Kentucky's population is than North Dakota's population, divide Kentucky's population by North Dakota's population:
4.47 x 10^6 / 7.62 x 10^5
We can simplify the fraction by dividing both the numerator and denominator by 7.62 x 10: 4.47 x 106 / 7.62 x 105 = 5.87
5.9, rounded to the closest tenth.
As a result, the population of Kentucky is nearly 5.9 times that of North Dakota.
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Brianna made 9 1/4 bags of popcorn for a movie night with some friends. Together they ate 4 bags of it. How much popcorn was left?
There were 5 1/4 bags of popcorn left after eating 4 bags.
To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.
Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:
9 1/4 = (4 * 9 + 1) / 4 = 37/4
Now, let's subtract the 4 bags eaten from the total:
37/4 - 4
To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:
37/4 - 4/1
Now, let's find a common denominator and subtract the fractions:
37/4 - 16/4 = (37 - 16) / 4 = 21/4
The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:
21/4 = 5 1/4
Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.
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subract 9x²+8x-6 from twice of 5x²-12x+4
Answer:
x² - 32x + 14
Step-by-step Explanation:
\(\implies \sf 2(5 {x}^{2} - 12x + 4) - (9 {x}^{2} + 8x - 6) \\ \\\implies \sf (10 {x}^{2} - 24x + 8) - (9 {x}^{2} + 8x - 6) \\ \\\implies \sf 10 {x}^{2} - 24x + 8 - 9 {x}^{2} - 8x + 6 \\ \\ \implies \sf {(10 - 9)x}^{2} - (24 + 8)x + (8 + 6) \\ \\ \implies \sf {x}^{2} - 32x + 14\)
Evaluate the related
series of each sequence
19, 28, 37, 46, 55
Answer: You add 9 each time
Step-by-step explanation:
19 + 9 = 28 + 9 = 37 + 9 = 46 + 9 = 55
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Draw the net and calculate the surface area .
Hello!
surface area
= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)
= 160cm²
Please solve
Step by step
HELP Help HELP HELP
What is the equation of the trend line in the scatter plot ?
Answer:
increasing
Step-by-step explanation:
1) A line passes through the points (-4,0) and (4, 12). Which of the following is an equation of
the line?
Answer:
The answer is the one at the top left corner.
(y - 12)/(x - 4) = 3/2
Hope this helped!
A. The parents of a baby wish to establish a college fund for their child. They deposit
$100 every month into an account for 18 years. The money earns 6 3/8% interest
compounded monthly. Find the future value of this account.
Answer:
FV= $38,735.32
Step-by-step explanation:
Giving the following information:
Monthly deposit= $100
Number of periods= 18*12= 216 months
The interest rate is confusing. I will assume an interest rate of 6%. If it is not correct, just change it in the formula.
Monthly interest rate= 0.06/12= 0.005
To calculate the future value, we need to use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit
FV= {100*[(1.005^216) - 1]} / 0.005
FV= $38,735.32
A 3-gallon container of disinfectant costs $36.24. What is the price per quart?
Answer:
10.74666666666667 per quart
Step-by-step explanation3 divided 36.24
A square park has an area of 1/16 square miles and a length of 1/4 mile. What is
the width of the park?
9514 1404 393
Answer:
1/4 mile
Step-by-step explanation:
The length and width of a square are the same.
The length is 1/4 mile, so the width of the park is 1/4 mile.
A square park has an area of 1/16 square miles and a length of 1/4 mile. What is the width of the park?
The formula for width is:\(\quad \quad \quad \boxed{ \tt{width = \frac{area}{length}}}\)
Lets try!\(\quad \quad \quad{\tt{w = \frac{1}{16} \div \frac{1}{4} = \boxed{\tt{0.25}}}}\)
Lets convert it to fraction:\(\quad \quad \quad \boxed{ \tt{w = 0.25}} \: ➡ \boxed{ \tt{w = \frac{1}{4}}}\)
So the value of width is:\(\boxed{ \tt{w = \frac{1}{4}}}\)
_________
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