So,
If we analyze the table of plastic chairs, we can notice that there's an addition of 4 between each term. That means that it is a linear function whose slope is given by the following:
\(m=\frac{\Delta y}{\Delta x}=\frac{4}{4}=1\)The triangle that you see means the change between each x and y terms, respectively.
The equation that satisfies this table is:
\(y=x+5\)In the table of Wooden chairs, there's a multiplicative relationship. Where the ratio is:
\(\frac{22}{8}=\frac{33}{12}=\frac{44}{16}=2.75\)So, the equation that represents this table is:
\(y=2.75x\)A verbal description of the plastic chairs, could be that:
"The total rental cost has an initial cost of $5, which means that 5 chairs had been already rented. Each chair's rent cost $1, so that's y = x + 5 which is the total rental cost".
A verbal description of the wooden chairs, could be that:
"Each chair is rented with a price of 2.75$ per chair. So that's the total rental cost".
Comparing, the first table is not a directly proportional relationship because the line doesn't pass through the origin. The second one is actually a directly proportional relationship since it is a line that passes through the origin.
Suppose that a person who has recently helped start a company for the first time is randomly selected. The probability that the company will fail within 2 years is 0.3. Suppose we follow 14 start-ups (98 people) for 2 years and record the number of people whose company failed. Why is the binomial model inappropriate for finding the probability that at least 42 of these 98 people
Answer:
The Binomial model is inappropriate because the Trials are independent of each other
Step-by-step explanation:
Given data :
probability of a company started by a person failing with 2 years = 0.3
14 start-ups ( 98 people ) are followed for 2 years
The probability that at least 42 of these 98 people will fail in 2 years
Reason why the Binomial model is inappropriate for finding the probability that at least 42 of these 98 people will fail
The Binomial model is inappropriate because the Trials are independent of each other
A four-ounce serving of Campbell's Pork & Beans contains 5 grams of protein and 21 grams of carbohydrates A typical slice of "lite" rye bread contains 4 grams of protein and 12 grams of carbohydrates.
(a) I am planning a meal of "beans-on-toast" and I want it to supply 20 grams of protein and 80 grams of carbohy- drates. How should I prepare my meal?
(b)If I require A grams of protein and B grams of carbohy- drates, give a formula that tells me how many slices of bread and how many servings of Pork & Beans to use.
(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.
(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.
(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:
- Servings of Campbell's Pork & Beans: 4 servings.
- Slices of "lite" rye bread: 15 slices.
By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).
Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.
(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:
- Number of slices of bread (Bread): A divided by 4.
- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).
Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.
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select the true statment about triangle abc
The true statement about triangle ABC include the following: C. sinA = cosC.
How to determine the value of sinA?In order to determine the trigonometric ratio for sinA, we would apply the basic sine trigonometric ratio because the given side lengths represent the opposite side and hypotenuse of a right-angled triangle;
sin(θ) = Opp/Hyp
Where:
Opp represent the opposite side of a right-angled triangle.Hyp represent the hypotenuse of a right-angled triangle.θ represent the angle.For the sine trigonometric ratio, we have the following:
sin(θ) = Opp/Hyp
sin(A) = BC/CA
sin(A) = 5/13
For the cosine trigonometric ratio, we have the following:
cosC= Adjacent/Hypotenuse
cosC = BC/CA
cosC =5/13
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
What is the range of the function? f(x)=3^x−1−2
The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is y > -2
Calculating the range of the equation?From the question, we have the following parameters that can be used in our computation:
f(x) = 3ˣ ⁻ ¹ - 2
The above equation is an exponential function
The rule of an exponential function is that
The domain is the set of all real numbersHowever, the range is always greater than the constant termIn this case, it is -2
So, the range is y > -2
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There is one way that 100005 can be written as a sum of two prime numbers. Which two prime numbers add up to 100005?
The two prime numbers that add up to 100005, based on the properties of prime numbers would be 2 and 100003.
How to find the prime numbers ?To find the two prime numbers, the relevant relationship would be the Goldbach's Conjecture. This posits that every even number greater than 2 can be expressed as the sum of two prime numbers.
So, to write an odd number as the sum of two prime numbers, one of the prime numbers has to be 2 because we know that 2 is the only even prime number.
The other number would therefore be:
= 100005 - 2
= 100003
100003 is a prime number so the two prime numbers are 2 and 100003.
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Help me ASAP for heart, 5 star rating and comment
There is 8 questions which will be posted one after the other. Questions 1-7 the person who answers correctly and quickly will get a heart and 5 star rating and comment and for the 8th question the correct person will get the rewards + brainiest.
1. If U = 35 and V = 7 and T =4 and V = U + AT. How much Is A worth
This question is worth 10 points numbers WILL get higher
Answer:
A=-7
Step-by-step explanation:
7=35+A4
4A=-28
A=-7
Pablo solved the polynomial equations given in the table. Determine whether each polynomial is correct. Select Correct or Incorrect for each equation.
Equation
(b²+7b-9)+(4b-6b²) = -8b² + 14b-9
(4a+6)-(3a²-9a+1)=-3a²+ 13a +5
(12c-8c²)+(5c²- 10c) = -3c²+2c
The first equation is incorrect.
The second equation is correct.
The third equation is correct.
Let's go through each equation and determine whether it is correct or incorrect:
(b²+7b-9)+(4b-6b²) = -8b² + 14b-9
To determine if this equation is correct, we need to simplify both sides and check if they are equal.
On the left side:
(b²+7b-9)+(4b-6b²) = b² - 6b² + 7b + 4b - 9 = -5b² + 11b - 9
On the right side:
-8b² + 14b - 9
Comparing both sides, we can see that -5b² + 11b - 9 is not equal to -8b² + 14b - 9. Therefore, the equation is incorrect.
(4a+6)-(3a²-9a+1)=-3a²+ 13a +5
Again, we need to simplify both sides of the equation and check if they are equal.
On the left side:
(4a+6)-(3a²-9a+1) = 4a + 6 - 3a² + 9a - 1 = -3a² + 13a + 5
On the right side:
-3a² + 13a + 5
Comparing both sides, we can see that -3a² + 13a + 5 is equal to -3a² + 13a + 5. Therefore, the equation is correct.
(12c-8c²)+(5c²- 10c) = -3c²+2c
Again, let's simplify both sides and compare them.
On the left side:
(12c-8c²)+(5c²- 10c) = 12c - 8c² + 5c² - 10c = -3c² + 2c
On the right side:
-3c² + 2c
Comparing both sides, we can see that -3c² + 2c is equal to -3c² + 2c. Therefore, the equation is correct.
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Which inequality is graphed below
Answer:
wheres it at?
Step-by-step explanation:
#Everything4Zalo
3 cm
8 cm
Find surface area of cylinder
Answer: \(66\pi \text{ cm}^{2\)
Step-by-step explanation:
\(S=2\pi(8)(3)+2\pi(3)^{2}=\boxed{66\pi \text{ cm}^{2}}\)
Solve for the missing variables in the triangle below
I will give a brainless if someone could answer this and explain:)
Answer:
x = -5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Set Up Equation
69° + 62° + (x + 54)° = 180°
Step 2: Solve for x
Combine like terms: x + 185 = 180Subtract 185 on both sides: x = -5Answer:
Step-by-step explanation:
x + 54 + 69 + 62 = 180 Every triangle has 180 degrees
x + 185 = 180 Subtract 185 from both sides
x = - 5
The word actually is Brainly, although sometimes I think I am a bit brainless.
Use upper and lower sums to approximate the area of the region using the given number of subintervals (of equal width). (Round your answers to three decimal places.) y = 2e−x upper sum 2.666 Incorrect: Your answer is incorrect. lower sum 4.395 Incorrect: Your answer is incorrect. WebAssign Plot
Answer:
Great question
Step-by-step explanation:
Could someone please helppp
Answer:
1. 1/2
2. 3/4
3. 1/6
4. 1/4
5. 7/4
6. 3/2
7. 5/1
8. 2/7
9. 1/4
Step-by-step explanation:
A ratio compares values.
So if there are 3 oranges and 12 apples, we can say that there is a ratio of 3 : 12 meaning there are 3 oranges for every 12 apples.
Ratios can be written in different ways, but they mean the same thing:
Using the ":" to separate the values: 3 : 12Or using the word "to" to separate the values: 3 to 12or as a fraction: \(\frac{3}{12}\)A ratio can also be scaled up or scaled down (as long as we do the same thing to both values):
3 : 12 is the same as 6 : 24 (multiplied both values by 2)3 : 12 is the same as 1 : 4 (divided both values by 3)1. 2 to 4 = 2 : 4 = 2/4
We can reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 2: 2/4 = 1/2
2. 15/20
Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 5:
15/20 = 3/4
3. 6 : 18 = 6/18
Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 6:
6/18 = 1/6
4. 3 to 12 = 3 : 12 = 3/12
Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 3:
3/12 = 1/4
5. 7 : 4 = 7/4
This fraction cannot be reduced any further as the numerator is a prime number. Prime numbers are whole number greater than 1 that cannot be made by multiplying other whole numbers.
6. 18/12
Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 6:
18/12 = 3/2
7. 35 : 7 = 35/7
Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 7:
35/7 = 5/1
(5/1 = 5 however the question is asking you to write the ratio in the lowest fraction, so the lowest fraction is 5/1)
8. 8/28
Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 4:
8/28 = 2/7
9. 24 : 96 = 24/96
Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 24:
24/96 = 1/4
Who know how to do this
Answer:
x=-25/17 y=-24/17
Step-by-step explanation:
8(-3x+y)=3×8 7x-8y=1
What is the intermediate step in the form
(x+a)^2=b as a result of completing the square for the following question
The intermediate step in completing the square is\($x^2 + 2ax + (a^2) = b - a^2 + (a^2)$\)
To complete the square for the equation \($(x+a)^2=b$\), we can follow these steps:
1. Expand the left side of the equation: \($(x+a)^2 = (x+a)(x+a) = x^2 + 2ax + a^2$\).
2. Rewrite the equation by isolating the squared term and the linear term: \($x^2 + 2ax = b - a^2$\).
3. To complete the square, take half of the coefficient of the linear term, square it, and add it to both sides of the equation:
\($x^2 + 2ax + (a^2) = b - a^2 + (a^2)$\).
4. Simplify the right side of the equation: \($x^2 + 2ax + (a^2) = b$\).
This step can be represented as: \(\[x^2 + 2ax + (a^2) = b - a^2 + (a^2)\]\)
This intermediate step helps us rewrite the equation in a form that allows us to factor it into a perfect square.
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Help help math math ASAP
Answer: y = - 1 3 x + 3
Step-by-step explanation:
Which statement describes the relationships between x and y in these two equations?
y = 25x
y = x + 25
Responses
In y = 25x, the value of y is 25 more than the value of x, and in y = x + 25, the value of y is 25 times the value of x.
In y = 25x and y = x + 25, the value of y is 25 more than the value of x.
In y = 25x and y = x + 25, the value of y is 25 times more than the value of x.
In , y, = 25, x, and , y, = , x , + 25, the value of , y, is 25 times more than the value of , x, .
In y = 25x, the value of y is 25 times the value of x, and in y = x + 25, the value of y is 25 more than the value of x.
That statement that best describes the relationship between x and y in the given equations is: d. In y = 25x, the value of y is 25 times the value of x, and in y = x + 25, the value of y is 25 more than the value of x.
How to Interpret the Linear Relationship Equation?In the equation y = 25x, the value of y is directly proportional to x and is 25 times greater than x. This means that as x increases, y increases by a multiple of 25. For example, if x = 2, then y = 50 (25 x 2), and if x = 4, then y = 100 (25 x 4).
In the equation y = x + 25, the value of y is equal to the value of x plus 25. This means that y is always 25 greater than x, regardless of the value of x. For example, if x = 2, then y = 27 (2 + 25), and if x = 4, then y = 29 (4 + 25).
The answer is option d.
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help your selves to these points. And ignore this question. Which of the following inequalities matches the graph?
Answer:
ok
Step-by-step explanation:
WHAT IS THE GOAL FOR THE TOPIC OF FINDING THE CENTER AND THE RADIUS OF A CIRCLE GIVEN THE EQUATION?
The goal is to find the radius of a circle which also helps to get the diameter. Finding the center helps to measure and know the circumference.
PLEASE PLEASE HELP ASAP 30 POINTS AND WILL GIVE BRAINIEST
what is the measure of angle ABC
What is the measure of angle CBE
what is the measure of angle DBE
What is the measure of angle ABD
Answer:
hope this is what u want
and don't mind my handwriting I wrote it as fast as I could
how to find the answer for 15x-9y=-9
The value of "x" in the given linear equation of two variable 15x - 9y = -9 will be x = 0.6(-1+y).
As per the question statement, we are given a linear equation of two variable 15x - 9y = -9 and we are supposed to solve it for the variable "x"
First step would be to isolate "x" from the given equation
15x - 9y = -9
15x = -9 + 9y
15x = 9(-1+y) [Distributive property]
x = 9(-1+y)/15
x = 3(-1+y)/5 [Simplified]
or x = 0.6(-1+y)
Hence, the value of "x" in the given linear equation of two variable 15x - 9y = -9 will be x = 0.6(-1+y).
Linear equation: An equation is said to be linear if the maximum power of all the variable is consistently 1. It is also known as one-degree equation.To learn more about linear equation and similar concepts, click on the link given below:
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Describe in words the transformations of the graph of the parent function f(x) = x2 that
would result in the graph of
g(x) = 3(x - 5)^2 + 2.
Describe in words the transformations of the graph of the parent function f(x) = x2 that
would result in the graph of
g(x) = 1/3(x + 6)^2- 4.
a) The function is vertically stretched and shifted parabola with translated horizontally to the right by 5 units, and vertically shifted upward by 2 units.
b) The function is vertically compressed and shifted parabola with translated horizontally to the left by 6 units, and vertically shifted downward by 4 units.
Given data,
a)
For the function g(x) = 3(x - 5)² + 2, the transformations of the graph of the parent function f(x) = x² can be described as follows:
Vertical Stretch: The coefficient 3 in front of the parent function causes a vertical stretch by a factor of 3. This means the graph of g(x) will be three times taller than the graph of f(x).
Horizontal Translation: The expression (x - 5) inside the square term indicates a horizontal translation to the right by 5 units. This means the graph of g(x) will be shifted horizontally to the right by 5 units compared to the graph of f(x).
Vertical Translation: The constant term 2 outside the square term causes a vertical translation upward by 2 units. This means the graph of g(x) will be shifted vertically upward by 2 units compared to the graph of f(x).
Therefore, the graph of g(x) = 3(x - 5)² + 2 will be a vertically stretched and shifted parabola, compared to the graph of the parent function f(x) = x². It will be taller, translated horizontally to the right by 5 units, and vertically shifted upward by 2 units.
b)
For the function g(x) = (1/3)(x + 6)² - 4, the transformations of the graph of the parent function f(x) = x² can be described as follows:
Vertical Compression: The coefficient 1/3 in front of the parent function causes a vertical compression by a factor of 1/3. This means the graph of g(x) will be one-third as tall as the graph of f(x).
Horizontal Translation: The expression (x + 6) inside the square term indicates a horizontal translation to the left by 6 units. This means the graph of g(x) will be shifted horizontally to the left by 6 units compared to the graph of f(x).
Vertical Translation: The constant term -4 outside the square term causes a vertical translation downward by 4 units. This means the graph of g(x) will be shifted vertically downward by 4 units compared to the graph of f(x).
Hence , the graph of g(x) = (1/3)(x + 6)² - 4 will be a vertically compressed and shifted parabola, compared to the graph of the parent function f(x) = x². It will be one-third as tall, translated horizontally to the left by 6 units, and vertically shifted downward by 4 units.
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A delivery driver makes $78 each day that he works and makes approximately $10 in tips for each delivery that he makes. If he wants to make at least $238 in one day, at least how many deliveries does he need to make?
Answer:
16 deliveries
Step-by-step explanation:
We can model the situation using a linear inequality. Since we're told that the driver makes $10 in tips for each delivery.Thus, this is the slope.Since he makes $78 each day, this number is a constant and he makes it even when no deliveries are made. Thus, this is the y-interceptSince he wants to make at least #238, we want to find a value of d (number of deliveries) which would cause his wages to equal #238. Thus, we can use the following equation to find:238 ≤ 10d + 78
160 ≤ 10d
16 ≤ d
Thus, he needs to make at least 16 deliveries to make at least $238 in one day. Any less than 16 deliveries will cause him to fall short of his goal and any more than 16 deliveries will cause him to exceed his goal.
PLEASE HELP MEEEEEEEeEEE
a
its just counting
i think its a
#8 i
A parabola with its vertex at (2,5) and its axis of symmetry parallel to the y-axis passes through point (22,365). Write an equation
of the parabola. Then find the value of y when x = 12.
An equation is
Elio Mendoza
When x = 12, y =
What is the slope of the line perpendicular to the line 14x-7y=6
Answer:
\((-1/2)\).
Step-by-step explanation:
In a cartesian plane, if the equation of a line is in the slope-intercept form \(y = m\, x + b\), then \(m\) would be the slope of that line.
Rewrite the equation of the given line to obtain the slope-intercept equation for this line:
\(\displaystyle 2\, x - y = \frac{6}{7}\).
\(\displaystyle -y = -2\, x + \frac{6}{7}\).
\(\displaystyle y = 2\, x - \frac{6}{7}\).
In other words, the slope of the given line is \(2\).
Let \(m_{1}\) denote the slope of the given line, and let \(m_{2}\) denote the slope of the line perpendicular to the given line.
If two lines in a cartesian plane are perpendicular to one another, the product of their slopes would be \((-1)\). In other words, \(m_{1} \cdot m_{2} = -1\). Rearrange to obtain an expression for the slope of the line perpendicular to the given line:
\(\displaystyle m_{2} = -\frac{1}{m_{1}}\).
The slope of the given line has been found: \(m_{1} = 2\). Hence, the slope of the line perpendicular to this given line would be:
\(\begin{aligned}m_{2} &= -\frac{1}{m_{1}} \\ &= -\frac{1}{2}\end{aligned}\).
O
3
1 point
Select the correct symbol to compare the two numbers.
0.934 0 0.93
Answer:
00.9
Step-by-step explanation:
Hope I hep. uuuuuuuuu
Enrique is 7 years older than Erin. In 3 years the sum of their ages will be 57. How old is Enrique now?
ok
Enrique = e
Erin = n
e = n + 7
e + n = 57 - 6
e + n = 51
Solve by substitution
n + 7 + n = 51
2n = 51 - 7
2n = 22
n = 22/2
n = 11
e = n + 7
e = 11 + 7
e = 18
Right now Enrique is 18 years old
Which could describr the motion of an object in distance and displacement
Answer:
Hope this will help you :)
Step-by-step explanation:
Billy took 5 tests in his math class. He scored an 89,88,93,90 and 81. What is the variance of his grades in these test? If necessary, round to the nearest hundredth.
The variance of Billy's grades obtained from his test scores is 15.76
What is variance?The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.
The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;
The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2
The square of the differences of the values from the mean can be calculated as follows;
(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84
The sum of the square of the differences is therefore;
0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8
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determine which number or numbers can be a solution for the inequality
32+a>44 11, 12, 13, 14
The numbers can be a solution for the inequality 32+a>44 is 13 and 14.
What is the solution set to an inequality or an equation?If the equation or inequality have variable terms, than there might be some values of those variables for which the equation or inequality might be correct. Such values are known as solution to that equation or inequality. To set of such values are called solution set to be considered equation or inequality.
Given that;
The inequality= 32+a>44
To solve the inequality 32 + a > 44, we need to isolate the variable "a" on one side of the inequality.
32 + a > 44
Subtract 32 from both sides:
a > 44 - 32
a > 12
This means that any number greater than 12 can be a solution to the inequality.
Therefore, the inequalities numbers 13 and 14 can be solutions, but 11 and 12 cannot.
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