Answer: Let x be the length of the original piece of fabric.
We know that:
x - y = length after first cut
(x - y) - 10 = length after second cut
((x - y) - 10) - 5 = length after third cut
Therefore, we can set up the equation:
x - y - 10 - 5 = 35
x - y = 50
To find the original length of the fabric, we can add y to both sides:
x = y + 50
The original length of the fabric is 50 inches + y inches.
We know that the total length cut was 35 inches.
So we can set up the equation:
y + 10 + 5 = 35
y = 20
So the original length of the fabric is 50 + 20 = 70 inches.
We can check the solution by using the equation:
x - y - 10 - 5 = 35
70 - 20 - 10 - 5 = 35
which is true.
Step-by-step explanation:
Let [tex]f(x)=9-2^x[/tex]
Graph y=f(x) for [tex]1\leq x\leq 3[/tex]
Come up with a method to approximate [tex]A(f,1\leq x\leq 3)[/tex]
Using this method, calculate the area that approximates [tex]A(f,1\leq x\leq 3)[/tex]
Note that this will be an approximate answer using the graph.
Your family opens a small buffet restaurant. They spend $5000 to buy new dining tables and kitchen supplies. They spend $200 per day on food and utilities. They charge $15 per guest for an all you can eat dinner buffet. If they serve 12 guests a night, how long until they break even?
Answer:
They never break even.
Step-by-step explanation:
Number of days: x
Expenses for x days:
Fixed cost: $5000
Cost per day: $200
Cost for x days: 200x
Income for x days:
12 × $15 × x = 180x
Number of days: x
Total expenses = Total income
200x + 5000 = 180x
Just the daily expense of $200 on food and utilities is greater than the daily income of $180. Then there is the additional initial expense of $5,000, so they will never break even. They start by having an expense of $5,000, and each day they spend $20 more than they receive.
A package of bandages contains small and large bandages in a 3 to 5 ratio. Which of the following is a possible number of total bandages in the package?
According to the information, it can be inferred that the total content of the box is 45 bandages in a ratio of 3:5.
How to identify the correct option?To identify the correct option we must take into account the proportion of bandages of each type that are in the box. Based on this information, we must identify a number in which the proportion of bandages is maintained. Based on the above, the correct answer would be 45, since this number can maintain the proportion of the bandages as shown below.
45 bandages = 15 small bandages and 25 large bandages.Additionally, the other answer options are not correct because the proportion of bandages of different types is not maintained.
Note: This question is incomplete because there is some information missing. Here is the complete information:
Options:
A.25
B.30
c.45
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A study of 120{,}000120,000120, comma, 000 randomly selected photos posted to a social media site determined that 4\%4%4, percent were "selfies," photos of oneself. If the percent of selfies is consistent throughout the rest of the photos on the site, and there are 202020 billion photos, how many billions of photos on the site are selfies?.
0.8 billion of photos on the site are selfies. if 4%, percent were "selfies," photos of oneself
This problem can be solved by a simple rule of three.
A study of 120,000 randomly selected photos posted to a social media site determined that 4% were "selfies," photos of oneself. This means that for 1 photo, 0.04 are selfies.
There are 20 billion photos, how many billions of photos on the site are selfies?
1 - 0.04
20 - x
x= 20*0.04
x=0.8
0.8 billion of photos on the site are selfies. if 4%, percent were "selfies," photos of oneself
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could someone please help.
ind the x- and y-intercepts
and write The equation in standard form with integer coefficients
The x and y-intercept of the line are 5 and 2 . The standard form of the line is 2x + 5y = 10 .
How to find the x and y-intercept of a line?The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis. In other words, the x -intercept is the value of x when y equals zero and the y-intercept is the value of y when x = 0.
Hence,
The x-intercept of the graph is 5 and the y-intercept is 2.
Therefore, let's represent the line in standard form as follows;
Equation in standard form is as follows:
Ax + By = C
where
A, B and C are constantHence,
Using slope intercept form,
y = mx + b
where
m = slopeb = y-interceptUsing (5, 0)(0, 2)
m = 2 - 0 / 0 - 5
m = - 2 / 5
Therefore,
y = - 2 / 5 x + 2
2 / 5 x + y = 2
Therefore, the standard form is as follows:
2x + 5y = 10
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Could someone please help me?
The age of the fossil is calculated as; 19188 years
How to solve decay functions?We are given the parameters as;
Half life (T_¹/₂) = 5730 years
The ratio between a fossil to a living sample; N/N₀ = 10% = 0.1
t = ?
Let us find the disintegration constant from the formula;
T_¹/₂ = In 2/λ
where λ is radioactive decay constant.
λ = In 2/T_¹/₂
λ = 0.693/5730
λ = 0.00012
Now, the decay formula here is;
N/N₀ = e^(-λt)
Thus;
0.1 = e^(-0.00012t)
-0.00012t = In 0.1
-0.00012t = -2.302585
t = -2.302585/-0.00012
t = 19188 years
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Answer the following about data analytics.
1. What can be said about determining causation between two factors from a business standpoint, when you have a well-thought-out dataset?
Select an answer:
A. Identifying a causal factor does not require additional resources and time.
B. Although it might not always be accurate, you can use good business judgment to identify a causal factor.
C. If you apply your business judgment, you will always be able to identify a causal factor.
D. If you have a well-thought-out dataset, a causal factor will appear in the data.
2. The new software analyzes sales conversion per sales in a way intended to increase sales success. What is the first thing you must do before evaluating the new software?
Select an answer:
A. Acknowledge it will measure "success."
B. Define what "sales conversion" is.
C. Define how "success" is to be measured.
D. Define what a "sale" is.
1. The thing that can be said about determining causation between two factors from a business standpoint, when you have a well-thought-out dataset is D. If you have a well-thought-out dataset, a causal factor will appear in the data
2. The first thing you must do before evaluating the new software is C. Define how "success" is to be measured.
How to illustrate the information?A well-thought-out dataset is one that has been collected in a rigorous and controlled manner, such that it can be used to support causal inferences. A key aspect of identifying causation is the ability to demonstrate that a change in one factor (the independent variable) leads to a change in another factor (the dependent variable), while holding all other factors constant.
This is often achieved through experimental design, such as a randomized controlled trial, where individuals or groups are randomly assigned to different conditions or treatments, and the effects of these conditions or treatments are measured
Before evaluating any new software, it's important to have a clear understanding of what success means in the context of the software and how it will be measured. This will allow you to determine whether or not the software is actually achieving the desired outcome and make any necessary adjustments. Once you have defined how success will be measured, you can then define other key terms such as "sales conversion" and "sale" in relation to that measurement.
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A street that is 234m long is covered in snow. City workers are using a snowplow to clear the street. A tire on the snowplow has to turn 39 times in traveling the length of the street. What is the diameter of the tire?
As the snowplow moves finishing all 234 m long road, it turns 39 times, using this information, the diameter of the tire of the snowplower is 1.9098m.
How do you calculate the circumference of a tire?Taking a tire in 2Dimensions for ease of calculations, the tire appears to be a circle, hence the circumference of the tire is given by the formula pi * d, where pi = 1.34 and d is the diameter of the circle or tire.
What is the relationship between the circumference and the area of a circle?The circumference of a circle and the area of a circle are related through the mathematical constant pi (π). The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle. The formula for the area of a circle is A = πr^2. As we can see, both formulas involve pi (π) and the radius of the circle. The relationship between the two is that the circumference of a circle is directly proportional to the radius and the area of a circle is directly proportional to the square of the radius.
As per the given condition in the question,
Length of the road = 234 m
number of turns taken by the snowplow(n) = 39
diameter(d) of the tire = ?
As the tire rolls through all the distance of 234 m, we can use the relation,
length of the road = n * circumference of the tire
or , 234 = 39 * pi * d
hence, d = 1.9098 m
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using the given diagram solve for x
Answer 65^2+21^2
=4666
now take the sqrt of that and you get 68.30
Step-by-step explanation:
i hope this helps
Which of the following proves these triangles are congruent?
Answer:
ASA
Step-by-step explanation:
They are congruent by ASA because they share congruent sides indicated by the single dash marks, their angles correspond to each other, and their vertical angles would have to be congruent. Reading from left to right, the angle comes first, then the side, and then the angle again to make ASA.
√15x9x5x3
If the area if rectangle is in this form find the simplest Form
The offered statement states that a rectangle's basic shape has a 45-square-foot area.
What is the short definition of a rectangle?An example of a quadrilateral with equal and parallel opposite sides is a rectangle. It is a polygon with four sides and four angles that are each 90 degrees. A parallelogram is a polygon with only two dimensions. To be a square, a rectangle's sides must all have the same length, hence not all rectangles are squares.
Area of rectangle = Length (L) * Width (W)
Area of rectangle = [tex]\sqrt{15*9*5*3}[/tex]
= [tex]\sqrt{3*5*3*3*5*3}[/tex]
= 3*5*3
= 45
Consequently, the area of a rectangle in its most basic form is 45.
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Two pumps are filling a swimming pool. If one can fill it alone in 30 hours and together they fill it in 7 hours, how fast could the other pump fill it by itself (round your answer to the nearest tenth of an hour)?
The number of hours taken by the other pump to fill it by itself will be 9.13 hours.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The pool is being filled by two pumps. If one person can complete it in 30 hours by themselves, and two people can fill it in 7 hours.
Then the number of hours taken by the other pump to fill it by itself will be given as,
1 / x + 1 / 30 = 1 / 7
1 / x = 1 / 7 - 1 / 30
1 / x = 23/210
x = 9.13 hours
The number of hours taken by the other pump to fill it by itself will be 9.13 hours.
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Correlation and causation can be confused in three major ways: e than one answer. Click the box with a check mark for correct ans the wrong answers.omitted variables. correlation without causation. reverse expectations. correlation with causation. reverse causality included variables.
Correlation without causation, reverse expectations, and reverse causality.
1. Correlation Without Causation: Correlation between two variables does not always mean that one is the cause of the other. This means that two variables can be associated with each other, but one may not be causing the other.
2. Reverse Expectations: This is when the observed relationship between two variables is the opposite of what is expected. For example, if it is expected that an increase in one variable will lead to an increase in the other, but the observed relationship is that an increase in one leads to a decrease in the other.
3. Reverse Causality: This is when the expected cause and effect relationship between two variables is reversed. For example, if it is expected that an increase in one variable will lead to an increase in the other, but the observed relationship is that an increase in the other leads to an increase in the first.
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GUYS, PLEASE HELP ASAP I BEG:
An aeroplane flies 22 miles due south followed by 34 miles due east. On what bearing is the aeroplane's starting position from its current position to the nearest degree?
Step-by-step explanation:
set x as right graph
tan x degree =22/34
x degree =arc tan 22/34
32.91 degree
√22^2+34^2
√1640
40.50miles
so it's current position is 32.91 degree north by west 40.50 miles
what is equivalent to -14 - 35d
Answer:
[tex] \sf \: -7(5d + 2) [/tex]
Step-by-step explanation:
Now we have to,
→ find the equivalent expression.
The expression is,
→ -14 - 35d
Let's solve the problem,
→ -14 - 35d
→ -7(2) - 7(5d)
→ -7(2 + 5d)
→ -7(5d + 2)
Hence, answer is -7(5d + 2).
write the equation and graph the line with a slope of -3 and passes though point (4, -5)
Answer:
y = - 3x + 7
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - 3 , then
y = - 3x + c ← is the partial equation
to find c substitute (4, - 5 ) into the partial equation
- 5 = - 3(4) + c = - 12 + c ( add 12 to both sides )
7 = c
y = - 3x + 7 ← equation of line
I need help and on this
Answer:
78.54
Step-by-step explanation:
Use this equation when trying to find the area of a circle using diameter: [tex]A=\frac{1}{4}\pi d^{2}[/tex]
[tex]A= \frac{1}{4} * 3.14 * 10^{2}[/tex]
A=78.54
Question 3 of 23
Which graph below shows the solutions for the linear inequality y≤¹x-3?
OA. Graph D
B. Graph B
C. Graph C
D. Graph A
Graph D (A) is the correct graph that shows the solutions for the linear inequality y≤¹x-3.
What is linear inequality?A linear inequality is an equation that contains a variable, such as x, and is written in the form ax + b < c, where a, b, and c are constants. Linear inequalities are used to describe a range of values that satisfy a given condition. They are used in many areas of mathematics, including graphing, solving equations, and finding the maximum or minimum of a function. Linear inequalities are also used in economics, engineering, and other sciences.
This can be seen by the fact that the graph is a straight line going from the bottom left to the top right, and the line is below the x-axis at the point (3, 0). This means that all points on the line or below it are part of the solution set. The other graphs, B, C and D, are not accurate solutions for the linear inequality.
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Jane is an 8-year-old girl who weighs 25.6 kg and enjoys lots of outdoor activities. She likes fruit but does not like vegetables or milk. How many grams of protein are recommended for Jane
As calculated from the given data Jane's calorie intake is 1200 per day.
From the details given in the question we can say that Jane doesn't likes milk. Hence, she lacks dairy fat in her food. As per the given case she likes vegetables and eats fruit a lot. Therefore, and the grams of total caloric intake for her should be 1200 calories per day.
She does, however, lack fats from dairy products like milk. A child of 8 years old is thought to need at least 2 cups of milk or its equivalent each day. Jane is getting enough carbohydrates because she consumes 225 gram per day as opposed to the recommended 130 gram.
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Prove that d/dx (csc (x)) = -csc(x)*cot(x). Fill in the blanks
step 1: d/dx(csc(x))=(d/dx)(1/blank)
step 2: =(blank)(0)-1(blank)
step 3: (blank)/(sin^2x)
step 4: -(1/sin x)*(blank/sin x)
step 5: = -csc(x)*cot(x)
We will use the first principle of differentiation, to prove the function.
What is the first principle of differentiation?y = f(x) with respect to its variable x. If this limit exists and is finite, then we say that: Wherever the limit exists is defined to be the derivative of f at x.
Given function cosec x
d(cscx)dx = d(1/sinx)dx
= limh→0 1/sin(x+h)-1/sinx / (x+h)-x
= limh→0 sinx - sin(x + h)/sinxsin(x + h) /h
= limh→0 sinx - sin(x + h) / h sinx sin(x + h)
= limh→0 -(sin(x + h) - sinx)/h sinx sin(x + h)
= limh→0 - (sin(x + h) - sinx)h × 1/limh→0 sinx sin(x + h)
= -cosx × 1/sin2x
= -cosx/sinx × 1/sinx
= -cotx cscx
Therefore, proved the derivative of cosec x to be -cot x cosec x using the first principle of differentiation.
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HELP PLEASE THIS IS DUE TONIGHT!! I don't understand how you're supposed to place the slope (20x) on the y-axis because it only has numbers like 100,200,300, there isn't exactly 20 ?????? if it makes sense
Answer:
Step-by-step explanation:
y > 20x - 200
The y-intercept is -200, so start your line there.
The slope (m) is 20. This means Δy/Δx, so the slope is 20/1, but you can scale it up so it fits on the graph.
[tex]\frac{20}{1}[/tex] = [tex]\frac{100}{5}[/tex]
Using the slope 100/5, from the y=intercept of -200, go up 100 (in the positive y direction) and over 5 (in the positive x direction) for your next point. Now you have a line that fits on the graph. Shade the area to the right of the line.
2. A large rectangular swimming pool is 1,000 feet long, 100 feet wide, and 10 feet deep.
The pool is filled to the top with water.
a. What is the area of the surface of the water in the pool?
b. How much water does the pool hold?
c. Express your answers to the previous two questions as powers of 10.
Answer: it is 1,000,000
Subtract the linear expressions.
(3/4x−1)−(1/3x+4)
What is the difference?
Enter your answer in the box. Enter fractions as simplified fractions.
Answer:
5-60x
12x
Step-by-step explanation:
= 3/4x-1 - 1/3x-4
= 3/4x - 5 - 1/3x
= 9-60x-4
12x
= 5 - 60x
12x
what is the order of 3 over 4, -7 over 10, -3 over 4, 8 over 10 least to greatest
Please see the attachment below for the answer and work. Hope this helps and you can read my handwriting.
What is fraction grade 4?
Fractions are a part of mathematics that involve comparing two or more values. In grade 4, students learn to identify, name, and write fractions, as well as compare, add, subtract, multiply, and divide fractions.
In grade 4, students learn more detailed concepts related to fractions. They will learn to identify, name, and write fractions, as well as compare, add, subtract, multiply, and divide fractions. They will also learn to convert fractions to decimals and percents, as well as solve real-world problems involving fractions. They will gain a better understanding of how fractions are used in everyday life and how to use them to solve problems. Through hands-on activities, students will gain a greater understanding of fractions, and how to use them to solve problems.
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Students learn more intricate fractional concepts in grade 4. They will gain knowledge of how to recognize, label, and write fractions as well as how to compare, combine, subtract, multiply, and divide them.
Comparing two or more numbers is a component of fractions in mathematics. In addition to learning how to compare, add, subtract, multiply, and divide fractions, fourth graders also learn how to name, recognize, and write fractions.
Additionally, they will learn how to solve fractional problems in the real world and convert fractions to decimals and percents. They will have a greater understanding of fraction usage in daily life and how to apply it to problem-solving. Students will learn more about fractions and how to apply them to solve issues through practical exercises.
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Which group of ordered pairs represents the linear relationship shown in the graph?
(3, 0), (0, -2), (-6,-5)
(3, 0), (0, -3), (-6, -6)
(6, 2), (0, -2), (-3,-4)
(4, 1), (0, -2), (3, 4)
The group of ordered pairs that represents the linear relationship shown in the graph is (6, 2), (0, -2), (-3, -4).
What is linear relationship?Linear relationship is a type of relationship between two variables in which one variable is directly proportional to the other. In other words, one variable increases or decreases in a linear fashion as the other one increases or decreases, respectively. A linear relationship is commonly depicted graphically in a line graph, where the rate of change is constant. Linear relationships are used in many areas of science, including economics, psychology, and physics.
This can be seen by plotting each point on the graph and connecting them with a straight line. The line passes through the points
(6, 2), (0, -2), and (-3, -4),
confirming that this group of ordered pairs is the correct answer.
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15. Jared starts out with no dogs in his house. Every year, he gets 3 new dogs. Lacy starts with 2
dogs and gains 1 dog every year. Write the linear equation for both Jared and Lacy that shows
the relationship between x and y, then find the solution to the linear equations.
a. What does the solution mean?
The solution to the linear equations is x = 1. The solution means Jared and Lacy will have equal number of dogs in one year.
How to write and solve linear equation?Let
Total number of dogs = y
Number of years = x
Jared:
y = 3x
Lacy:
y = 2 + x
Equate both
3x = 2 + x
3x - x = 2
2x = 2
x = 2/2
x = 1
Hence, the number of years it will take Jared and Lacy to have the same number of dogs is 1 year.
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Choose the term that best matches the given definition. Numerical descriptor of a particular group of interest. Answer O Population Parameter O Population O Sample Statistic O Sample
Numerical descriptor of a particular group of interest is called population parameter.
A population parameter is a fixed quantity or statistical measure that is plugged into a generic distribution or frequency function to characterize a specific population. A population parameter is a constant but unknowable feature that characterizes the distribution of all values over an entire population.
Common population parameters include the mean, variance, shape and scale parameters for gamma and exponential distributions, the median, the mode, etc. Population parameters also aid in drawing conclusions regarding the shape of the curves, such as how distributed or peaked the data is or where the majority of the data is concentrated.
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Which variable to solve for lesson 8
Answer:
12 and 18. for the square inches.
Step-by-step explanation:
sorry if you get it wrong. im half asleep rn. but its cause it goes they are factors of 3. 3, 6 ,9, etc.
please give an appropriate answer
The volume of the hemisphere which has radius 10m is , 212.2 m³
What is Volume?In mathematics, Space occupied by three dimensional objects is called Volume. Basically it is a space within a closed region of every three dimensional object.
Volume of sphere = 4/3πr³
Given that,
the radius of hemisphere is 10 m
Volume of hemi-sphere = 2/3πr³
Volume of hemi-sphere = 2/3π10³
Volume of hemi-sphere = 2000/3π
Volume of hemi-sphere = 212.2
So, the volume is 212.2 m³
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