Answer:
$17.02
Step-by-step explanation:
11.39 + 5.63 = 17.02
Answer:
The asnwer will be $17.02..........................................
Step-by-step explanation:
jeremy owns 4 pairs of pants, 3 shirts, 3 ties, and 2 jackets. how many different outfits can he wear to school if he must wear one of each item?
The average Jeremy can create 24 different outfits for school by combining 1 pair of pants, 1 shirt, 1 tie, and 1 jacket.
Jeremy can mix and match his items to create different outfits for school. Since he owns 4 pairs of pants, 3 shirts, 3 ties, and 2 jackets, he can create 24 different outfit combinations. For each outfit, he must wear 1 pair of pants, 1 shirt, 1 tie, and 1 jacket. He can mix and match any of the items he owns to create a variety of looks. For example, he could wear a blue shirt, grey pants, and a striped tie with a black jacket. Or, he could wear a white shirt, black pants, a polka-dotted tie, and a brown jacket. By combining his items in different ways, he can create 24 different outfits for school.
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A firefighter cut his rope in half. He then cut one-third of one of the remaining halves. The longer part of this half of rope was 20 meters. How many meters was his original long rope?
Answer:
10
Step-by-step explanation:
A package is dropped from a helicopter that is moving upward at 20.0 m/s. If it takes 18.0s before the package strikes the ground, how high above the ground was the package when it was released? (UNITS)
Answer:
We have for velocity of package v= 20 - 9.8t and for distance from the ground y = h + 20t - 4.9t2.
We have y = 0 and t = 18.0 s we have h = 4.9·182 - 20·18 = 1227.6 m.
Velocity at landing v = 20 - 9.8·18 = - 156.4 m/s
A King Air 200 weighs 12,500lb and is flying at 25,000ft altitude and its airspeed is 250 knots (1knot=1.69ft/sec). Find it's potential energy; 312.5 Million Nm 312.5 Million joules 312.5 Million ft−lbs 300 Million ft-lbs Question 9 (1 point) The definition of mechanical work done when an aircraft's jets accelerate it down a runway and the units of work done/energy used in US standard units are; Force / distance; Joules Force x distance; ft.lbs Force / distance; ft.lbs Force x distance; Joules
The potential energy of the King Air 200 aircraft is approximately 420,014,400,000 Nm.
To find the potential energy of the King Air 200 aircraft, we need to use the formula:
Potential Energy = Weight * Altitude
Given that the weight of the aircraft is 12,500 lb and the altitude is 25,000 ft, we can calculate the potential energy as follows:
Potential Energy = 12,500 lb * 25,000 ft
Now, let's convert the units to a more suitable form. Since the potential energy is usually measured in joules or foot-pounds, we'll convert the units accordingly.
1 lb = 4.448 N (approximately) 1 ft = 0.3048 m (approximately)
Using these conversion factors, we can convert the units:
Potential Energy = (12,500 lb * 4.448 N/lb) * (25,000 ft * 0.3048 m/ft) Potential Energy ≈ 55,120,000 N * 7,620 m
Finally, we can calculate the potential energy:
Potential Energy ≈ 420,014,400,000 Nm
Therefore, the potential energy of the King Air 200 aircraft is approximately 420,014,400,000 Nm.
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Tim received $59 for his birthday. He went to a sporting goods store and
bought a baseball glove, baseball, and bat. He had $35 left over, how much
did he spent on the baseball gear?
Answer:
24 dollars
Step-by-step explanation:
59 - 35 = 24
so he spent 24 dollars on the baseball gear
help asap will give brainliest!!!!
Answer:
36
Angle LON is a right angle so it equals 90 degrees.
A second hand car dealer has 7 cars for sale. She decides to investigate the link between the age of the cars, x years, and the mileage, y thousand miles. The date collected from the cars is shown in the table below.
Age, x Year
2
3
7
6
4
5
8
Mileage, y thousand
20
18
15
24
29
21
20
Use your line to find the mileage predicted by the regression line for a 20 year old car.
a.
243
b.
21
c.
15
d.
234
A second hand car dealer has 7 cars for sale. She decides to investigate the link between the age of the cars, x years, and the mileage, y thousand miles. The date collected from the cars is shown in the table below.
Age, x Year
2
3
7
6
4
5
8
Mileage, y thousand
20
18
15
24
29
21
20
Find the least square regression line in the form y = a + bx.
a.
Y= 23- 0.4 X
b.
Y= 23 + 4 X
c.
Y= 10 + 53 X
d.
Y= 43 + 10 X
Each coffee table produced by Robert West Designers nets the firm a profit of $9. Each bookcase yields a $12 profit. West’s firm is small and its resources limited. During any given production period, 10 gallons of varnish and 12 lengths of high-quality redwood are available. Each coffee table requires approximately 1 gallon of varnish and 1 length of redwood. Each bookcase takes 1 gallon of varnish and 2 lengths of wood.
Formulate West’s production-mix decision as a linear programming problem, and solve. How many tables and bookcases should be produced each week? What will the maximum profit be?
Use:
x = number of coffee tables to be produced
y = number of bookcases to be produced
Which objective function best represents the problem?
a.
P= 9 X + 12 Y
b.
P= 10 X + 12 Y
c.
P= X + Y
d.
P= X + 2 Y
Each coffee table produced by Robert West Designers nets the firm a profit of $9. Each bookcase yields a $12 profit. West’s firm is small and its resources limited. During any given production period, 10 gallons of varnish and 12 lengths of high-quality redwood are available. Each coffee table requires approximately 1 gallon of varnish and 1 length of redwood. Each bookcase takes 1 gallon of varnish and 2 lengths of wood.
Formulate West’s production-mix decision as a linear programming problem, and solve. How many tables and bookcases should be produced each week? What will the maximum profit be?
Use:
x = number of coffee tables to be produced
y = number of bookcases to be produced
For the problem above, what is the optimal solution?
a.
96
b.
72
c.
90
d.
98
A football team with a probability of 0.8 of winning a game plays 50 games in a season. What is the probability
of the team losing a game?
a. If the pediatrician wants to use height to predict head circumference dete variable is the explanatory variable and which is response variable. b. Draw a scatter diagram of the data. Draw the best fit line on the scatter diagram . d. Does this scatter diagram show a positive negative, or no relationship between a child's height and the head circumference ?
If the best fit line is nearly horizontal, it suggests no significant relationship between height and head circumference.
What is the equation to calculate the area of a circle?In this scenario, the explanatory variable is the child's height, as it is being used to predict the head circumference.
The response variable is the head circumference itself, as it is the variable being predicted or explained by the height.
To draw a scatter diagram of the data, you would plot the child's height on the x-axis and the corresponding head circumference on the y-axis. Each data point would represent a child's measurement pair.
Once all the data points are plotted, you can then draw the best fit line, also known as the regression line, that represents the overall trend or relationship between height and head circumference.
By observing the scatter diagram and the best fit line, you can determine the relationship between a child's height and head circumference.
If the best fit line has a positive slope, it indicates a positive relationship, meaning that as height increases, head circumference tends to increase as well.
If the best fit line has a negative slope, it indicates a negative relationship, meaning that as height increases, head circumference tends to decrease.
By assessing the slope of the best fit line in the scatter diagram, you can determine whether the relationship between height and head circumference is positive, negative, or nonexistent.
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Frank drove from New York City to Los Angeles. The distance between the two cities is 2,760 miles. After 16 hours, he still had to drive 1,400 miles to reach Los Angeles. How far did he drive per hour?
Answer:
fghjgfvgh
yguhyu
Step-by-step explanation:
Answer:
frank traveled 2760-1400 = 1360 miles
traveled 16 hours
This means he drove: 1360 miles / 16 hours = 85 miles per hour.
Suppose y varies directly with x, and y = 60 when x = 12. What is y when x is 20?
Step-by-step explanation:
y = kx, where k is a real constant.
When x = 12, y = 60.
=> (60) = (12)k, k = 5.
Therefore when x = 20,
y = kx = (5)(20) = 100.
Hopefully these steps will help. 1) Pick one of the data sets (It does not matter which one, but you will be using the same one throughout the course) 2) Look ...
The choice of an appropriate statistical test is important, as different tests have different assumptions and are suited to different types of data. Finally, the conclusions drawn from the statistical analysis should be communicated clearly and concisely to ensure that they are accurately understood by others.
1. Select a dataset - It does not matter which one, but you will be using the same one throughout the course.2. Look for an interesting research question or hypothesis.3. Formulate null and alternative hypotheses.4. Identify the independent and dependent variables in your hypothesis.5. Identify potential confounding variables.6. Operationalize the independent and dependent variables.7.
The choice of an appropriate statistical test is important, as different tests have different assumptions and are suited to different types of data. Finally, the conclusions drawn from the statistical analysis should be communicated clearly and concisely to ensure that they are accurately understood by others.
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The percents of students who travel to school by car, bus, and bicycle are shown for a school of 825 students.
a. Write the percents as decimals.
Car:
School bus:
Bicycle:
Question 2
b. Write the percents as fractions in simplest form.
Car:
School bus:
Bicycle:
Look at the diagram in the image attached.
What is the measure of LLMN?
A. 67°
B. 71°
C. 109°
D. 113°
Answer:
67°
Step-by-step explanation:
Sum of the interior angles of a triangle = 180
To find x, set the sum of the supplementary angles to the 3 shown angles (x-6, x+9, x) equal to 180:
180 = (180-x+6) + (180-x-9) + (180-x)
180 = 536 - 3x
-357 = -3x
x = 119
119 - 6 = 113 this is the angle supplementary to ∠LMN, therefore:
m∠LMN = 180 - 113 = 67°
Determine whether each pair of expressions is equivalent. Explain your reasoning.
The answer is:
\(\large\textbf{They aren't equivalent.}}\)
In-depth explanation:
To determine the answer to this problem, we will use one of the exponent properties:
\(\sf{x^{-m}=\dfrac{1}{x^m}}\)
And
\(\sf{\dfrac{1}{x^{-m}}=x^m}\)
Now we apply this to the problem.
What is 4⁻³ equal to? Well according to the property, it's equal to:
\(\sf{4^{-3}=\dfrac{1}{4^3}}\)
And this question asks us if 4⁻³ is the same as 1/4⁻3.
Well according to the calculations performed above, they're not equivalent.
The tallest building downtown is 40 stories and the shortest is 30 stories.
Answer:
B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Does anyone know how to delete a question?
To delete a question, if you are using a web browser, please click on the dots next to the question to locate the option to eliminate them.
What is deleting something from the web?Deleting something from the web is to mean you are removing that thing due to any reason. When you delete a file, it is removed from the location where it is stored.
If your hard disk is the storage location, the file gets relocated to the Recycle Bin. The file is destroyed if the storage place is a disk, CD, or network location.
Therefore, if you are using a web browser, please click on the dots next to the question to locate the option to delete them.
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Find the value of each variable. Round your answers to the nearest tenth. (Soh Coh Toa)
Answer:
k = 8.4, j = 13.1
Step-by-step explanation:
Solve for k:
\(tan(40)=\frac{k}{10}\\10(tan(40))=k\\8.4=k\)
Solve for j:
\(8.4^2+10^2=j^2\\70.56+100=j^2\\170.56=j^2\\13.1=j\)
Answer:
k = 10 tan (40) = 8.39 (to 2 decimals)
J = 10 / cos(40) = 13.05 (to 2 decimals)
Step-by-step explanation:
It is SOH CAH TOA, or
Sin = Opposite / Hypotenuse
Cos = Adjacent / Hypotenuse
Tan = Opposite / Adjacent
Using SOH CAH TOA,
tan(40) = k/10, so k = 10 tan (40) = 8.39 (to 2 decimals)
cos(40) = 10 / j, so J = 10 / cos(40) = 13.05 (to 2 decimals)
consider a function with three variables: a, b, c. convert to sum-of-minterms form:
The sum-of-minterms form of the function f(a,b,c) = a'b + ac is (a'b + ac).
To convert a function with three variables to sum-of-minterms form, we first need to determine the truth table of the function, which lists all possible combinations of inputs and the corresponding outputs. Then, we identify the minterms (i.e., combinations of inputs that result in a 1 output) and represent each minterm as a binary number. The sum-of-minterms form of the function is then the sum of all the binary numbers representing the minterms.
For example, consider the function f(a,b,c) = a'b + ac. (The truth table for this function is attached below)
From the truth table, we can see that the minterms are (0,1,1) and (1,0,1), which can be represented as binary numbers 011 and 101, respectively. The sum-of-minterms form of the function is then:
f(a,b,c) = 011 + 101 = (a'b + ac)
So, the sum-of-minterms form of the function f(a,b,c) = a'b + ac is (a'b + ac).
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after a certain number of years, the value of an investment account is represented by the expression 10,300(1 0.0412)120 . what is the value of the account?
The value of the account is $165,627.27.
After a certain number of years, the value of an investment account is represented by the expression 10,300(1 + 0.0412)^120. Given expression: 10,300(1 + 0.0412)^120Adding 1 to 0.0412, we get 1.0412. Now, the expression becomes:
=10,300 × 1.0412^120
Using a scientific calculator or spreadsheet software, we can evaluate this expression to get the value of the account as approximately $165,627.27. Therefore, the value of the account is $165,627.27.
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A bug begins to crawl up a vertical wire at time t = 0. The velocity v of the bug at time t, 0 < t < 8, is given by the function whose graph is shown behind this text. At what value of t does the bug change direction? a. 2
b. 4
c. 6.5
d. 7
The bug changes direction at t = 4. This can be answered by the concept of velocity.
To determine when the bug changes direction, we need to find when its velocity changes sign from positive to negative. From the graph, we see that the bug's velocity is positive for t < 4 and negative for t > 4. Therefore, the bug changes direction at t = 4.
To verify this, we can look at the behavior of the bug's velocity as it approaches t = 4. From the graph, we see that the bug's velocity is increasing as it approaches t = 4 from the left, and decreasing as it approaches t = 4 from the right. This indicates that the bug is reaching a maximum velocity at t = 4, which is when it changes direction.
Therefore, the bug changes direction at t = 4.
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(78000/ 19110) x100=
Answer:
= 408.16 or =20000/49
Step-by-step explanation:
= (78000/ 19110) x100
= (200/49)*100
=20000/49
Find the function f, if: f'(x)=2/(x^3) + 4e^x + 5, f(-1)=1, f(1)=-1 (Note: Consider the domain and write the answer in ascending order of the variable).
Answer:
f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)
Step-by-step explanation:
We can find the function f(x) by integrating f'(x) with respect to x:
â«f'(x) dx = â«(2/(x^3) + 4e^x + 5) dx
f(x) = -1/x^2 + 4e^x + 5x + C
To find the constant C, we can use the given initial conditions:
f(-1) = 1 = -1/(-1)^2 + 4e^(-1) - 5 + C
C = 1 + 1/1 - 4e^(-1)
f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)
Therefore, the function f(x) is:
f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)
How many integer values of x are there so that x, 5, and 8 could be the lengths of the sides of a triangle?
A) 6
B) 9
C) 3
D) 13
Answer:
B) 9
Step-by-step explanation:
x + 5 > 8
x > 3
OR
5 + 8 > x
x < 13
possible values for third side of triangle: 4,5,6,7,8,9,10,11,12
The possible integer values of this scenario are A) 6
What is the way of classifying a triangle?If a² + b² < c² then it is an acute angle triangle.
If a² + b² = c² then it is a right-angle triangle.
If a² + b² ≥ c² then it is an obtuse angle triangle.
Given, the lengths of the sides of a triangle are x, 5, and 8.
x² + 5² < 8².
x² + 25 < 64.
x² < 39, now perfect squares less than 39 are 36, 25, 16, 9, 4, 1, 6 integer values.
x² + 5² = 8².
x² + 25 = 64.
x² = 39, No integer values.
x² + 5² > 8².
x² + 25 > 64.
x² + > 39.
Here the possible integer values are infinite.
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Here is a rectangle ABCD.
A
B
20 cm
30 cm
The length of the rectangle is increased by 10%.
The width of the rectangle is increased by 5%.
Find the percentage increase in the perimeter of the rectangle.
Answer: 8%
Step-by-step explanation:
Original Perimeter of the rectangle is:
= 2 * ( Length * Width)
= 2 * (20 + 30)
= 100 cm
The length increased by 10%. It therefore increased to:
= 30 * ( 1 + 10%)
= 30 * 1.1
= 33 cm
The width increased by 5%. It increased to:
= 20 * ( 1 + 5%)
= 21 cm
New Perimeter is therefore:
= 2 * ( 33 + 21)
= 108 cm
Percentage increase in perimeter is:
= (New perimeter - old) / old perimeter
= (108 - 100) / 100
= 8%
the determinant of the matrix whose columns are vectors which define the sides of a parallelogram opposite one another is equal to the area of the parallelogram.
The area of the parallelogram is equal to the absolute value of the determinant of the matrix .
Explanation:
To demonstrate that the determinant of the matrix whose columns are vectors defining the sides of a parallelogram is equal to the area of the parallelogram, we can follow these steps:
1. Let's consider two vectors that define the sides of a parallelogram, A and B, opposite to each other.
2. Form a matrix M with the components of the vectors A and B as columns:
\(M=det \left[\begin{array}{ccc}A_{x} &B_{x} \\A_{y} &B_{y} \end{array}\right]\)
3. Calculate the determinant of matrix M:
\(det(M) = (A_{x} *B_{y} ) - (B_{x} *A_{y} )\)
4. The area of a parallelogram can be found using the cross product of its side vectors:
Area = ||A x B||
5. The cross product of A and B is a vector with components:
A x B = (0, 0, A_x * B_y - A_y * B_x)
6. The magnitude of the cross-product is the area of the parallelogram:
Area = ||A x B|| = \(\sqrt{ (A_{x} *B_{y} ) - (B_{x} *A_{y} )^{2} }\) = \((A_{x} *B_{y} ) - (B_{x} *A_{y} )\)
Now, we can see that the area of the parallelogram is equal to the absolute value of the determinant of the matrix M:
Area = |det(M)|
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. Asha mixes 50 milliliters of yogurt, 100 milliliters of orange juice, and
250 milliliters of milk to make a regular smoothie.
a) What is the ratio of the amount of yogurt to the amount of orange
juice to the amount of milk?
b) If Asha has 1 liter of milk, how many regular smoothies can she make?
Answer:
A
Step-by-step explanation:
For each of the number lines, write an absolute value equation in the form |x-c|=d, where c and d are some numbers, to satisfy the given solution set.
1. 5 and 17
2. -4 and 6
3. -0.5 and 0.5
Please hurry!!
Will award 30 points!!
Answer:
b) |y-11|=6
c) |z-1|=5
d) |a-0|=1/2
Step-by-step explanation:
This definetly works!
The absolute value equations are =
1) |x - 11| = 6
2) |x + 1| = 5
3) |x| = 0.5
1) To satisfy the solution set of 5 and 17 on a number line, we can write an absolute value equation as follows:
|x - 11| = 6
Explanation: The midpoint between 5 and 17 is 11, which serves as the value c in the equation.
The absolute value of x minus 11 should be equal to the distance between the midpoint and either endpoint, which is 6.
2) To satisfy the solution set of -4 and 6 on a number line, we can write an absolute value equation as follows:
|x + 1| = 5
Explanation: The midpoint between -4 and 6 is -1, which is the value c in the equation.
The absolute value of x plus 1 should be equal to the distance between the midpoint and either endpoint, which is 5.
3) To satisfy the solution set of -0.5 and 0.5 on a number line, we can write an absolute value equation as follows:
|x| = 0.5
Explanation: In this case, the midpoint between -0.5 and 0.5 is 0, which is the value c in the equation.
The absolute value of x should be equal to the distance between the midpoint and either endpoint, which is 0.5.
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find teh exact value of sin 2x given that sec x = 3/2 and csc y = 3 and x and y are in quadrant 1
The exact value of \(sin 2x\) is \(4√5/9.\)
Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.
In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)
Also, we know that sin \(2x = 2 sin x cos x.\)
Now, we need to find sin x.
Having sec x = 3/2, we can use the Pythagorean identity
\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)
As x is in the first quadrant, it lies between 0° and 90°.
Therefore, x cannot be negative.
Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)
Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)
Therefore, the exact value of sin 2x is 4√5/9.
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for each of the following variables, determine whether the variables is categorical or numerical and determine its measurement scale. if the variable is numerical, determine whether the variable is discrete or continuous.a. name of internet service providerb. time in hours, spent surfing the internet per weekc. whether the individual uses a mobile phone to connect to the internetd. number of online purchases made in a monthe. where the individual uses social networks to find sought -after information
(a). Name of internet service provider is categorical variable because it cannot be quantified or measured. It can be divided into different categories according to the service they provide.
A categorical variable (also called qualitative variable) is a variable that can take on one of a limited, and usually fixed, number of possible values, assigning each individual or other unit of observation to a particular group or nominal category on the basis of some qualitative property.
Measurement scale used for determination is nominal scale, also called the categorical variable scale.
(b). Time in hours, spent surfing the internet per week is continuous numerical variable because time can be measured over an infinite number of real values within a given interval.
A variable is said to be continuous if it can assume an infinite number of real values within a given interval.
Measurement scale used for determination is ratio scale.
(c). Whether the individual uses a mobile phone to connect to the internet is categorical variable because the answer can only be yes or no and it cannot be measured numerically.
A categorical variable (also called qualitative variable) is a variable that can take on one of a limited, and usually fixed, number of possible values, assigning each individual or other unit of observation to a particular group or nominal category on the basis of some qualitative property.
Measurement scale used for determination is nominal scale, also called the categorical variable scale.
(d). Number of online purchases made in a month is discrete numerical variable because it is a value that arises through a counting process.
A discrete quantitative variable is one that can only take specific numeric values (rather than any value in an interval), but those numeric values have a clear quantitative interpretation.
Measurement scale used for determination is interval scale.
(e). Where the individual uses social networks to find sought -after information is categorical variable because the answer can only be yes or no and it cannot be measured numerically. It can be either he/she uses or he/she do not.
A categorical variable (also called qualitative variable) is a variable that can take on one of a limited, and usually fixed, number of possible values, assigning each individual or other unit of observation to a particular group or nominal category on the basis of some qualitative property.
Measurement scale used for determination is nominal scale, also called the categorical variable scale.
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