The value of w using the equation w + 45 = w + 12 + w - 23 is 56
Calculating the value of w?From the question, we have the following parameters that can be used in our computation:
w+12°
w+45°
w-23°
Assuming an equation to solve w, we have
w + 45 = w + 12 + w - 23
Evaluating the like terms, we have
w + 45 = 2w - 11
Collecting the like terms, we have
-w = -56
Divide by -1
w = 56
Hence, the value of w is 56
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Manatees eat 112 pounds of food each day. How many pounds of food would the animal consume in August and September?
Answer:
6,832 pounds of food
Step-by-step explanation:
What is the 3D distance formula?
The 3D distance formula is represented as √((x2 - x1)² + (y2 - y1)² + (z2 - z1)²)
The 3D distance formula, also known as the Euclidean distance formula, is used to calculate the distance between two distinct points in three-dimensional space. The formula is the square root of the sum of the squares of the differences in the x, y, and z coordinates of the two points. Mathematically it can be represented as:
Distance = √((x2 - x1)² + (y2 - y1)² + (z2 - z1)²)
Where (x1, y1, z1) and (x2, y2, z2) are the coordinates of the two points.
It's used to measure the distance between two points in 3-D space. It's the straight-line distance between two points. This formula can be applied in various fields such as physics, computer graphics, and robotics.
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If m< EBC = 3y+10 and m< ABE = 2y-20, find m< EBF.
The value of angle m< EBF is determined as 56⁰.
What is the sum of angles in a straight line?
The sum of angles in a straight line is 180 degrees. The value of angle EBF can be determine using the concept of sum of angles in a straight line as shown below.
m< EBC + m< ABE = 180
3y + 10 + 2y - 20 = 180
5y - 10 = 180
5y = 180 + 10
5y = 190
y = 190/5
y = 38
The value of m< EBF is calculated as follows;
Assuming equal division, m< EBF = m< ABE
m< EBF = 2y - 20
m< EBF = 2(38) - 20
m< EBF = 56⁰
Thus, the value of angle m< EBF is determined as 56⁰.
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x - 1/3 = 6
Give your answer as an improper fraction.
Answer:
19/3 (6 1/3)
Step-by-step explanation:
consider the following initial-value problem. y ′ 3y = e−3t, y(0) = 4 take the laplace transform of the differential equation and solve for ℒ{y}. (write your answer as a function of s.) ℒ{y} =
The Laplace transform to the initial-value problem is y(t) = (1/3) * e^(-3t).
To solve the given initial-value problem using Laplace transform, we'll apply the Laplace transform to both sides of the differential equation.
The Laplace transform of y' is denoted as ℒ{y'}.
Using the property of the Laplace transform, ℒ{y'} = sℒ{y} - y(0), where s is the Laplace variable and y(0) is the initial condition.
Applying the Laplace transform to the differential equation, we have:
ℒ{3y} = ℒ{e^(-3t)}
Using the linearity property of the Laplace transform and the table of Laplace transforms, we can find the transforms of each term:
3ℒ{y} = ℒ{e^(-3t)}
3ℒ{y} = 1/(s+3)
Now, we can solve for ℒ{y} by dividing both sides by 3:
ℒ{y} = 1/(3(s+3))
Therefore, the Laplace transform of y is ℒ{y} = 1/(3(s+3)).
To find the actual solution, we need to inverse Laplace transform the expression
ℒ{y} = 1/(3(s+3)).
Applying the inverse Laplace transform, we obtain the solution:
y(t) = (1/3) * e^(-3t)
Therefore, the actual answer to the initial-value problem is y(t) = (1/3) * e^(-3t).
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solve for x and find the value of x
We can write an equation for the interior angles, and we will see that x = 13
How to find the value of x?We want to find the value of x, we can see two adjacent angles on a rectangle, then the sum of these two is equal to 180°, we can write:
3x + 78 + x + 50 = 180
4x + 128 = 180
4x = 180 - 128
4x = 52
x = 52/4 = 13
The value of x is 13.
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simplify by using order of operations 22 - (8 x 1) divided by (6 - 4) - 2
The value of the expression 22 - (8 x 1) divided by (6 - 4) - 2 is 0.
What is an expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.
The expression given is:
22 - (8 x 1) divided by (6 - 4) - 2
= 22 - (8 x 1) ÷ (6 - 4) - 2
= [22 - 8] ÷ [2 - 2]
= 14 ÷ 0
= 0
The value is 0.
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Carly loves to run while Riley prefers walking. Carly can run 3 miles per hour faster
than her sister Riley can walk the same distance. If Carly ran 15 miles in the same time
it took Riley to walk 9 miles, which equation can be used to find the speed of each
sister?
Answer:
Step-by-step explanation:
In which two ways can a scrum master exemplify characteristics of a servant leader?
There are 10 common characteristics attributed to servant leadership: active listening, empathy, healing, awareness, persuasion, conceptualization, foresight, stewardship, commitment to the growth of people, and community-building.
How does a Scrum Master demonstrate servant leadership?A Scrum Master is a servant-leader whose focus is on the needs of the team members and those they serve (the customer), with the goal of achieving results in line with the organization's values, principles, and business objectives.
1. Active listening: Active listening is the practice of preparing to listen, observing what verbal and non-verbal messages are being sent.
2. Empathy: the ability to understand and share the feelings of another.
3. Healing: the process of making or becoming sound or healthy again.
4. Awareness: knowledge or perception of a situation or fact.
5. Persuasion: A belief or set of beliefs, especially religious or political ones.
6. Conceptualization: The action or process of forming a concept or idea of something.
7. Foresight: The ability to predict or the action of predicting what will happen or be needed in the future.
8. stewardship: The job of supervising or taking care of something, such as an organization or property.
9. Commitment: The state or quality of being dedicated to a cause, activity, etc.
10. Community-building: Community building is a field of practices directed toward the creation or enhancement of community among individuals within a regional area or with a common need or interest.
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can a parking lot be built at angle K. why or why not
A number increased by
7 is less than 14
Answer:
7
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
x+7 < 15
x < 8
...........
how many drinks are contained in a 60 ounce pitcher
Answer:
fill three pint glasses, five 12-ounce glasses or six 10-ounce glasses.
Step-by-step explanation:
T/F a pearson correlation value of r = –0.90 indicates that the data points are clustered far from a line that slopes down to the right.
True. A Pearson correlation value of r = -0.90 indicates that the data points are clustered far from a line that slopes down to the right.
The Pearson correlation coefficient, denoted as "r," measures the strength and direction of the linear relationship between two variables. It ranges from -1 to +1, where -1 represents a perfect negative linear relationsrelationshipct positive linear relatcasehip, 0 indicates no linear relationship, and +1 represents a perfect positive linear relationship.
In this case, a correlation value of -0.90 suggests a strong negative linear relationship between the variables. The negative sign indicates that as one variable increases, the other tends to decrease. Additionally, the magnitude of -0.90 signifies a strong correlation, meaning that the data points are tightly clustered around a line that slopes downward to the right. The closer the correlation value is to -1, the more tightly the data points conform to this negative linear pattern.
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A student randomly selects 22 CDs at a store. The mean is $8.5 with a standard deviation of $1.25. Construct a 95% confidence interval for the population standard deviation, Assume the data are normally distributed.
The 95% confidence interval for the population standard deviation is approximately between $1.006 and $1.611.
To construct a 95% confidence interval for the population standard deviation, we'll use the Chi-Square distribution and the following formula:
CI = √((n - 1) × s² / χ²)
Where:
CI = Confidence interval
n = Sample size (22 CDs)
s² = Sample variance (standard deviation squared, $1.25²)
χ² = Chi-Square values for given confidence level and degrees of freedom (df = n - 1)
For a 95% confidence interval and 21 degrees of freedom (22 - 1), the Chi-Square values are:
Lower χ² = 10.283
Upper χ² = 33.924
Now, we'll calculate the confidence interval:
Lower limit = √((21 × 1.25²) / 33.924) ≈ 1.006
Upper limit = √((21 × 1.25²) / 10.283) ≈ 1.611
So, the 95% confidence interval for the population standard deviation is approximately between $1.006 and $1.611.
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HELP ASAP PLEASE!!!!!
what is the factorization of the polynomial below -x^2-2x+48
I HOPE IT WILL HELP YOU. I DID HOW I KNOW .
Darren has 84 DIMES and 144 PENNIES in his piggy bank.
Eugene has 63 DIMES
and 112 PENNIES in his piggy bank.
Who has the higher ratio of DIMES TO PENNIES in their piggy bank?
Answer:
Step-by-step explanation:
Darren has 84 DIMES and 144 PENNIES:
the ratio of dimes to penny=84/144=7/12
12 is GCF : 84/12=7, 144/12=12
Eugene has 63 DIMES and 112 PENNIES :
the ratio is 63/112=9/16
GCF of (63 and 112) is 7 : 63/7=9 , 112/7=16
7/12 = 0.58333 9/16=0.5625
7/12 is higher than 9/16
Darren has the higher ratio of DIMES TO PENNIES in his piggy bank
this can be solved by finding the percentage 7/12=0.5833=58.3% and 9/16=0.5625 which is 56.25%
what is 1000tan+546-(645-1)
I WILL REPORT U IF U AREN'T SYDNEETEAL
answer:
538.89576473...
next time you have a math question use ma th way or ma th papa it'll save you points
Match the expressions given in words with their values when d = 3.
2
1
4
3
0
the difference of 2 times d minus 3
arrowRight
4 added to the difference of d minus 3
arrowRight
the difference of d minus 3 divided by 2
arrowRight
the quotient of 12 divided by the
difference of 3 times d minus 3
arrowRight
Answer:
1. 3
2. 4
3. 0
4. 2
Step-by-step explanation:
Hope that helps
Answer:
1. is 3 2. is 4 3. is 0 4. is 2
The population of Greensboro (in thousands) was 4,922 in 2004 and 9,100 in 2010. Assume that the relationship between the population (y) and the year (t) is linear, and t=0 represents 2004. a. Write the linear model for this data. b. Use the model to estimate the population in 2015.
The linear model for this data is y = 0.63t + 4.922 and the estimated population of Greensboro in 2015 was 11,530
What is slope?
Slope is a measure of the steepness of a line. It is defined as the change in y-coordinate divided by the change in x-coordinate between any two points on the line.
a. To find the linear model for this data, we need to determine the equation of the line that passes through the two given points: (0, 4.922) and (6, 9.1). The slope of this line can be calculated as:
slope = (change in y) / (change in t)
slope = (9.1 - 4.922) / (6 - 0)
slope = 0.63
Using the point-slope form of a linear equation, we can write the equation of the line as:
y - 4.922 = 0.63(t - 0)
Simplifying, we get:
y = 0.63t + 4.922
Therefore, the linear model for this data is y = 0.63t + 4.922.
b. To estimate the population in 2015, we need to find the value of y when t = 11 (since 2015 is 11 years after 2004). Substituting t = 11 into the linear model, we get:
y = 0.63(11) + 4.922
y = 11.53
Therefore, the estimated population of Greensboro in 2015 was 11,530 (rounded to the nearest whole number).
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Problems 5-9, Find the value of the variable to the nearest tenth of each triangle.
Answer:
35
Step-by-step explanation:
please help. i dont understand lol i need help asap pls
Answer:
B.
Step-by-step explanation:
All you have to do is get the numbers from the triangle AUV and multiply them by 3/2.
12 * 3/2 = 18 \(\neq\) 8
So we already know that the scale factor is not 3/2
It's 2/3 because since the triangle get smaller the scale factor has to be smaller than 1.
HOPE THIS HELPS YAA!
10 , 12 , 13 , 16 , 17 , 23 , 25 , 39
From the list above , write down :
• a prime number that is one more than a square number
Answer:
prime number is 17 and the square number is 16 if you subtract them you get 1 .
what is ""27.430"" in expanded form
The expanded form of the number 27.430 is 20 + 7 + 0.400 + 0.30.
What is an expanded form?A billing statement is a recurring statement that details every transaction made on your credit card account during the billing cycle, including purchases, payments, and other debits and credits. Every month or so, your credit card company will send you a billing statement.
Given that the number is 27.430. The expanded form of the number is written as:-
Expanded form:-
27.430 = 20 + 7 + 0.400 + 0.30.
When we add all the values of the expanded form we will get the previous value.
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a rectangular screen has a width of 2x 8. the length is 4x 1. what is the area of the entire screen?
The area of the entire screen is \(8x^2 + 34x + 8\) square units.
To find the area of the entire screen, you need to multiply its width by its length.
Width = 2x + 8
Length = 4x + 1
Area = Width × Length
Area = (2x + 8) × (4x + 1)
Now, we'll use the distributive property to multiply these expressions:
Area = 2x * 4x + 2x * 1 + 8 * 4x + 8 * 1
Area = 8x^2 + 2x + 32x + 8
Now, we'll combine the like terms:
\(Area = 8x^2 + 34x + 8\)
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john is painting a fence around a rectangular yard. the house forms one side of the fencing which is 30 feet in length and will not be painted. the yard is 30 feet long and 20 feet wide. if the fence is 3 feet high and a gallon of paint covers 50 ft^2, how many gallons should john purchase?
Answer:
John is painting a fence around a rectangular yard that is 30 feet long and 20 feet wide. Since the house forms one side of the fencing, which is 30 feet in length and will not be painted, John only needs to paint the other three sides of the fence. The total length of the fence to be painted is 20 + 30 + 20 = 70 feet. Since the fence is 3 feet high, the total area to be painted is 70 * 3 = 210 square feet.
A gallon of paint covers 50 square feet, so John will need to purchase 210 / 50 = 4.2 gallons of paint. Since John cannot purchase a fraction of a gallon, he should round up and purchase **5 gallons** of paint to ensure he has enough to cover the entire fence.
Answer:
John should purchase approximately 9.6 gallons of paint. Since you typically can't purchase a fraction of a gallon, it would be advisable for John to round up to the nearest whole number. Thus, John should purchase at least 10 gallons of paint.
Step-by-step explanation:
Given information:
Length of the yard = 30 feet
Width of the yard = 20 feet
Height of the fence = 3 feet
Length of the house side (not to be painted) = 30 feet
The area of each side of the yard that needs to be painted is the height of the fence multiplied by the length of the yard. Since there are two sides to be painted, we have:
Area of each side = Height of fence * Length of yard
Area of each side = 3 feet * 30 feet
Area of each side = 90 square feet
Now, we need to calculate the perimeter of the yard:
Perimeter of the yard = 2 * (Length + Width)
Perimeter of the yard = 2 * (30 feet + 20 feet)
Perimeter of the yard = 2 * 50 feet
Perimeter of the yard = 100 feet
Since the entire perimeter of the yard needs to be painted, the area is equal to the height of the fence multiplied by the perimeter:
Area of perimeter = Height of fence * Perimeter of the yard
Area of perimeter = 3 feet * 100 feet
Area of perimeter = 300 square feet
To find the total area that needs to be painted, we add the areas of the two sides and the perimeter:
Total area = 2 * Area of each side + Area of perimeter
Total area = 2 * 90 square feet + 300 square feet
Total area = 180 square feet + 300 square feet
Total area = 480 square feet
Given that one gallon of paint covers 50 square feet, we can now calculate the number of gallons John should purchase:
Number of gallons = Total area / Coverage per gallon
Number of gallons = 480 square feet / 50 square feet
Number of gallons = 9.6
40% of 65 =
I NEED HELP PLEASE
Answer:
26.
Step-by-step explanation:
To calculate 40% of 65, we first need to convert the percentage to a decimal by dividing it by 100, which gives us 0.4. Then, we can multiply this decimal by 65 to find the result, which is 0.4 * 65 = <<0.4*65=26>>26.
Match each value or variable to its part in the expression 68h+13.
Im sorry but theres no picture or nothing I can work with!
Create an equivalent expression for 1.3 cubed over 1.2 raised to the fourth power all raised to the power of negative six. 1.2 raised to the twenty-fourth power over 1.3 to the eighteenth power 1.2 squared over 1.3 cubed 1.3 to the eighteenth power over 1.2 to the twenty-fourth power 1.3 cubed over 1.2 squared
The approximate values of the given expressions are: 22.44, 0.0527, 0.655, 2.19, and 1.53
The equivalent expressions for the given expressions are as follows:
1. \(\left(\frac{1.3^3}{1.2^4}\right)^{-6}\)
2. \(\frac{1.2^{24}}{1.3^{18}}\)
3. \(\frac{1.2^2}{1.3^3}\)
4. \(\frac{1.3^{18}}{1.2^{24}}\)
5. \(\frac{1.3^3}{1.2^2}\)
To solve these expressions, simplify them step by step.
1. Given expressions: \(\left(\frac{1.3^3}{1.2^4}\right)^{-6}\)
To equivalent expression of given expression calculated as:
\(\left(\dfrac{1.3^3}{1.2^4}\right)^{-6} = \left(\dfrac{1.3^3}{1.2^4}\right)^{-6} \\\left(\dfrac{1.3^3}{1.2^4}\right)^{-6} \approx 22.44\)
2. Given expressions: \(\frac{1.2^{24}}{1.3^{18}}\)
To equivalent expression of given expression calculated as:
\(\dfrac{1.2^{24}}{1.3^{18}} = \dfrac{1.2^{24}}{1.3^{18}}\\ \dfrac{1.2^{24}}{1.3^{18}} \approx 0.0527\)
3. Given expressions: \(\frac{1.2^2}{1.3^3}\)
To equivalent expression of given expression calculated as:
\(\dfrac{1.2^2}{1.3^3} = \dfrac{1.44}{2.197} \\\dfrac{1.2^2}{1.3^3} \approx 0.655\)
4. Given expressions: \(\frac{1.3^{18}}{1.2^{24}}\)
To equivalent expression of given expression calculated as:
\(\dfrac{1.3^{18}}{1.2^{24}} = \dfrac{1.3^{18}}{1.2^{24}} \\\dfrac{1.3^{18}}{1.2^{24}} \approx 2.19\)
5. Given expressions: \(\frac{1.3^3}{1.2^2}\)
To equivalent expression of given expression calculated as:
\(\dfrac{1.3^3}{1.2^2} = \dfrac{2.197}{1.44} \\\dfrac{1.3^3}{1.2^2} \approx 1.53\)
So, the approximate values of the given expressions are: 22.44, 0.0527, 0.655, 2.19, and 1.53 (rounded to two decimal places).
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By multiplying 5/3^4 by _________, we get 5^4
The missing Value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.
The missing value that, when multiplied by 5/3^4, gives the result of 5^4, we can set up the equation:
(5/3^4) * x = 5^4
To solve for x, we can simplify both sides of the equation. First, let's simplify the right side:
5^4 = 5 * 5 * 5 * 5 = 625
Now, let's simplify the left side:
5/3^4 = 5/(3 * 3 * 3 * 3) = 5/81
Now we have:
(5/81) * x = 625
To solve for x, we can multiply both sides of the equation by the reciprocal of 5/81, which is 81/5:
(81/5) * (5/81) * x = (81/5) * 625
On the left side, the fraction (81/5) * (5/81) simplifies to 1, leaving us with:
1 * x = (81/5) * 625
Simplifying the right side:
(81/5) * 625 = 13125
Therefore, the missing value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.
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Please help me solve this..