An airplane has an average speed of 475 miles per hour. how far will it travel in 2 and a half hours?
Answers
The airplane will travel a distance of 1187.5 miles in 2.5 hours.
Using the formula Distance = Speed x Time, we can calculate the distance traveled by the airplane. Given an average speed of 475 miles per hour and a time of 2.5 hours, we substitute these values into the formula:
Distance = 475 miles/hour x 2.5 hours
By performing the multiplication, we find:
Distance = 1187.5 miles
Therefore, the airplane will travel a distance of 1187.5 miles in 2.5 hours.
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Related Questions
Evaluate x/4 for x=48
Answers
Hey there!
If x = 48
48/4 = 12 because 12 • 4 equals 48
Answer: 12
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
x=8
Step-by-step explanation:
{x}{4}x=48
{x^2}{4}=48
{4x^2}{4}=48\
Find the standard form of the equation of the hyperbola satisfying the given conditions.
Foci at (0,4) and (0,4); vertices at (0,3) and (0, - 3)
Answers
The standard form of the hyperbola equation is (y - 0)²/3² - (x - 0)²/7 = 1, or y²/9 - x²/7 = 1.
Based on the provided information, we know that the foci are at (0, 4) and (0, -4), and the vertices are at (0, 3) and (0, -3). Since the foci and vertices share the same x-coordinate, this indicates a vertical hyperbola.
The standard form of a vertical hyperbola is given by (y - k)²/a² - (x - h)²/b² = 1, where (h, k) is the center, a is the distance between the center and vertices, and b is the distance between the center and co-vertices.
The center is the midpoint between the vertices, which is (0, 0).
The distance between the center and vertices (a) is 3, and we can find the distance between foci (c) to be 4.
To find b, we use the equation c² = a² + b². Solving for b, we get b² = c² - a² = 4² - 3² = 7.
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Research Study: We want to figure out what characteristics of boys are most attractive to high-school girls. High-school girls were randomly assigned three groups to hear about a guy with trendy clothes, a nice car, or a confident attitude. There were 9 girls in each group. They gave ratings on a scale from 1 to 10, with 1 being "not interested" and 10 being "very interested."
Question: Is there a significant difference between the attractiveness ratings given by the three groups of girls?
What is the factor?
What are the levels of the factor?
Step 1: State Hypotheses
Null:
Research:
Step 2: Determine Comparison Distribution
What is the distribution shape and degrees of freedom for the comparison distribution?
Step 3: Set the Criteria for a Decision
Alpha = .05
dfB =
dfW=
Critical value:
Is the rejection region placed in the upper or lower tail? How do you know?
Step 3: Compute the Test Statistic
Trendy Clothes
Nice Car
Confident Attitude
8
6
10
6
7
9
9
8
10
6
6
10
8
4
8
6
5
9
7
5
10
6
6
9
6
8
8
Step 5: Make a Decision
Reject/Fail to Reject the null?
What does this mean (be sure to talk about significance)?
Answers
Test statistic Z= 0.13008 < 1.96 at 0.10 level of significance.
The null hypothesis is accepted.
There is no significant difference between the attractiveness ratings given by the three groups of girls.
Surveyed two random samples of 390 men and 360 women who were tested.
first sample percentage,
p1 = 360 ÷ 390 = 0.9230
second sample percentage,
p2 = 47 ÷ 52 = 0.9030
There is no change, according to the null hypothesis the percentage of males who have positive tests is significantly from the percentage of women who have positive tests.
Different Hypotheses:
There is a discrepancy in the percentage of schoolgirls who heard about a male with stylish clothes, a great automobile, or a confident demeanor across the three groups that were randomly allocated.
Z = (p1 - p2) ÷ √(PQ((1 ÷ n1) + (1 ÷ n2)))
where
p = (n1p1 + n2p2) ÷ n1 + n2
p = 0.920
Z = (0.9230 - 0.9030) ÷ √(0.9230((1 ÷ 390) + (1 ÷ 52)))
Test statistic Z = 0.13008
Level of significance = 0.10
The critical value Z₀.₁₀ = 1.645
Test statistic Z=0.13008 < 1.645 at 0.1 level of significance
The null hypothesis is accepted.
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If a figure is a square, its diagonals divide it into isosceles triangles.
p: A figure is a square.
q: A figure's diagonals divide into isosceles triangles.
Which represents the converse of this statement? Is the converse true?
Answers
The converse of the statement "If a figure is a square, its diagonals divide it into isosceles triangles" would be:
"If a figure's diagonals divide it into isosceles triangles, then the figure is a square."
The converse statement is not necessarily true. While it is true that in a square, the diagonals divide it into isosceles triangles, the converse does not hold. There are other shapes, such as rectangles and rhombuses, whose diagonals also divide them into isosceles triangles, but they are not squares. Therefore, the converse of the statement is not always true.
Therefore, the converse of the given statement is not true. The existence of diagonals dividing a figure into isosceles triangles does not guarantee that the figure is a square. It is possible for other shapes to exhibit this property as well.
In conclusion, the converse statement does not hold for all figures. It is important to note that the converse of a true statement is not always true, and separate analysis is required to determine the validity of the converse in specific cases.
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if the probability that it will rain tomorrow is 0.32 what is the probability that it will not rain tomrrow
Answers
Answer:
.68
Step-by-step explanation:
1 - .32 = .68 it will NOT rain tomorrow ( the two proabablities add to 1)
a college professor notices that the greater the distance students sit from the front of the room, the worse their grades in the course seem to be. what type of correlation is this? note: distance is increasing, whereas grades are decreasing.
Answers
The correlation between the distance a student sits from the front of the room and their grades in the course is a negative correlation.
Negative correlation is a type of correlation where one variable increases while the other variable decreases. In this case, as the distance of a student in the class increasing, the grades of the student in decreasing.
This shows that distance and grades may not correlate favorably. The professor's discovery of a negative association may therefore reflect the reality that students become less attentive as they grow farther away from their teachers.
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The residuals for data set A and data set B were calculated and plotted on
separate residual plots. If neither the residuals for data set A nor the
residuals for data set B form a pattern, what can be concluded?
Answers
Answer:
c
Step-by-step explanation:
Answer:
data set A is linear, and data set B is linear
Step-by-step explanation:
Mr. G rents a truck for 3 hrs at $80 and then rents it again for an additional 5 hrs at $320. What was his rate of change for Mr. G during his second period of rental?
A. $120/hr
B. $240/hr
C. $1/120hr
D. $2/240hr
Answers
Answer:
Rate of change for Mr. G during his second period of rental is :---
\( →\frac{(\$320 - \$80)}{(5hr - 3hr)} = \frac{\$240}{2hr} = \boxed{\$120{hr}^{-1}} \\ \)
A. $120/hr is the right answer.What’s the answer??????
Answers
Hope this helps!
Answer:
2x+15
Step-by-step explanation:
hope this helps you
Tito purchased sandwiches and a gallon of milk for himself and his friends. Each sandwich cost $9. The gallon of milk cost $6. The total cost of the meal was $33. the equation for x, the number of sandwiches that Tito purchased? *
Answers
Answer:
answer SHOULD be 3 sandwiches
Step-by-step explanation:
33-6=27÷9=3
Answer:
9x + 6 = 33; 3
Step-by-step explanation:
9x + 6 represents the number of sandwiches and gallon of milk Tito purchased. 33 represents the total cost of the sandwiches and milk. Using this equation, we can solve to find x (the number of sandwiches purchased). Therefore, x = 3.
Question # 1
(a). A-Grade Manufacturers produces three mixtures of sand, pebbles, and rocks for eventual sale in 20-kg bags to new homebuyers who want to expand and beautify their homes. The GRADE_A mixture is composed of 10 kg sand, 7 kg pebbles, and 3 kg rocks, the GRADE_B mixture is composed of 6 kg sand, 10 kg pebbles, and 4 kg rocks, the GRADE_C mixture is composed of 2 kg sand, 8 kg pebbles, and 10 kg rocks. The market prices prevailing are $ 275.00 for a GRADE_A bag, $250.00 for a GRADE_B bag and $225.00 for a GRADE_C bag. The company knows that the market prices will hold regardless of the volume of each product it produces.
A-Grade Manufacturers wishes to maximize sales revenue from its present plant and equipment. Output is restricted only by the capacity of the storage bins. The local environmental body said that the bins can be refilled only once per week. The sand bin holds 2000 kg, the pebbles bin holds 3000 kg, and the rock bin holds 4000 kg.
Formulate a linear programming model in that will assist A-Grade Manufacturers to achieve its objective. [7 marks]
(b). A furniture manufacturer (he supplies Courts) produces tables and chairs. He employs different types of wood and labour in making these products. Specifically, each table requires 5 board feet of oak, 2 board feet of pine, and 4 labour hours. Each chair requires 2 board feet of oak, 3 board feet of pine, and 2 labour hours. The manufacturer makes $12 profit per table sold and $8 profit per chair sold. Moreover, he can sell all tables and chairs produced. Unfortunately, he only has 150 board feet of oak, 100 board feet of pine, and 80 labour hours to work with during the coming week.
The manufacturer wishes to determine how many units of each product should be made (and sold) so as to maximize weekly profits, subject to the available resources. Formulate a linear programming model of this problem and solve it graphically. [13 marks]
Answers
The maximum profit of $400 is achieved by producing 20 tables and 20 chairs.
(a) Let x, y, and z be the number of bags of GRADE_A, GRADE_B, and GRADE_C produced, respectively.
The objective is to maximize the sales revenue, which is given by:
Revenue = 275x + 250y + 225z
The constraints are:
The sand used in the production of the bags of each mixture cannot exceed the capacity of the sand bin:
10x + 6y + 2z <= 2000
The pebbles used in the production of the bags of each mixture cannot exceed the capacity of the pebbles bin:
7x + 10y + 8z <= 3000
The rocks used in the production of the bags of each mixture cannot exceed the capacity of the rocks bin:
3x + 4y + 10z <= 4000
The number of bags produced must be non-negative:
x, y, z >= 0
The linear programming model for this problem is:
Maximize: 275x + 250y + 225z
Subject to:
10x + 6y + 2z <= 2000
7x + 10y + 8z <= 3000
3x + 4y + 10z <= 4000
x, y, z >= 0
(b) Let x and y be the number of tables and chairs produced, respectively.
The objective is to maximize the weekly profits, which is given by:
Profit = 12x + 8y
The constraints are:
The amount of oak used in the production of tables and chairs must not exceed the available oak:
5x + 2y <= 150
The amount of pine used in the production of tables and chairs must not exceed the available pine:
2x + 3y <= 100
The amount of labor hours used in the production of tables and chairs must not exceed the available labor hours:
4x + 2y <= 80
The number of tables and chairs produced must be non-negative:
x, y >= 0
The linear programming model for this problem is:
Maximize: 12x + 8y
Subject to:
5x + 2y <= 150
2x + 3y <= 100
4x + 2y <= 80
x, y >= 0
Solving this problem graphically, we plot the three constraints on a graph and find the feasible region. Then, we evaluate the objective function at the vertices of the feasible region to find the optimal solution.
The feasible region is shown in the graph below:
The vertices of the feasible region are A(0,0), B(0,33.33), C(20,20), D(25,10), and E(30,0).
Evaluating the objective function at each of the vertices, we have:
A: Profit = 12(0) + 8(0) = 0
B: Profit = 12(0) + 8(33.33) = 266.64
C: Profit = 12(20) + 8(20) = 400
D: Profit = 12(25) + 8(10) = 380
E: Profit = 12(30) + 8(0) = 360
Therefore, the maximum profit of $400 is achieved by producing 20 tables and 20 chairs.
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please can you simplify -x+2z+x+2y
Answers
Answer:
2y + 2z
Step-by-step explanation:
-x + 2z + x + 2y
= (-1 + 1)x + 2y + 2z
= 2y + 2z
Hope this helped!
Describe the meaning of the translation (x + 6, y + 10).
All points are moved 6 units right and 10 units up
All points are moved 6 units left and 10 units up
All points are moved 6 units left and 10 units down
All points are moved 6 units right and 10 units down
Answers
Answer:
Step-by-step explanation:
The meaning of the translation (x + 6, y + 10) is that all points in a coordinate plane are moved 6 units to the right and 10 units up.
In other words, for any point (x, y) in the original position, after the translation, the new coordinates would be (x + 6, y + 10). This means that the x-coordinate of each point is increased by 6 units, resulting in a shift to the right, and the y-coordinate is increased by 10 units, resulting in a shift upwards.
Del sells his. Goods for £38 making a 5% loss how much did he pay for the good when he bought them
Answers
Answer:
Del paid £40 for the goods.
Step-by-step explanation:
It is given that:
Selling price of goods = £38
Loss = 5%
It means that,
Selling price = (100-5)% = 95%
Let,
x be the buying price.
95% of x = 38
\(\frac{95}{100}x=38\\\\0.95x=38\)
Dividing both sides by 0.95x
\(\frac{0.95x}{0.95}=\frac{38}{0.95}\\x=40\)
Therefore,
Del paid £40 for the goods.
Please convert .00972 to scientific notation
Answers
9.72 × 10^−3
Explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
ANSWER PLS!!!
I WILL GIVE BRAINLIST
Answers
Answer:
Step-by-step explanation:
the first one is not a constance a constance is a number all by its self and if a letter is all by their self that counts as a constance two all you have to do next time is just search up the definition
Flight 168 carries 54 passengers, each with 2 suitcases.
Each suitcase has a mass of about 16 kg.
The airplane was built to carry 2250 kg of luggage.I
Is the flight over or under the limit? Explain.is the flight over or under the limit? Explain.
Answers
Answer:under
Step-by-step explanation:
so if you do 54times 2 it is 108so then you do 16 times 108 and you get 1728
Answer:
flight is under the limit
Step-by-step explanation:
1 suitcase=16kg
2 suitcases=16kgx2=32kg
1 passenger has 32kg
54x32=1728kg
54 passengers have 1728kg
1728kg is less than 2250kg which means flight is under the limit
In a class 30 students,20 students like to play cricket and 15 like to play valleyball. Also each student like to play at least one of the two game. How many students like to play both games?illustrate in ven- diagram
Answers
Answer:
Well we add together 20+15 which is 35 which is 5 over the 30 in the class so that means out of the 30 students 5 of them like both games
Hope This Helps
Step-by-step explanation:
In a class 30 students
20 like to play cricket
15like to play volleyball
Tumhara questions galat hai
X-5y= -40
18x - 5y = 45
What is the answer to this
Answers
Answer:
(5, 9)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
x - 5y = -40
18x - 5y = 45
Step 2: Rewrite Systems
18x - 5y = 45
Multiply both sides by -1: -18x + 5y = -45Step 3: Redefine Systems
x - 5y = -40
-18x + 5y = -45
Step 4: Solve for x
Elimination
Combine equations: -17x = -85Divide -17 on both sides: x = 5Step 5: Solve for y
Define equation: x - 5y = -40Substitute in x: 5 - 5y = -40Isolate y term: -5y = -45Isolate y: y = 9Round 12,345.6789 to the nearest hundred
Answers
Answer:
12,300
Step-by-step explanation:
To round to the nearest hundred look at the tens place and if the number is a 5 or above add 1 to the hundreds place, in this case though the number is below 5 so you drop all the numbers behind it and nothing happens to the hundreds place
12,(3)46.6789
this is the hundreds place
12,3[4]6.6789
go to the tenths place and since the number is a 4 you drop it and the other numbers behind it.
Giving you the answer 12,300
PLEASE HELP!!
The diagram shows the cross-section ABCD of a sculpture in the shape of
a prism
with perpendicular height 9 cm.
AB = 14 cm, CD = 8cm, AD = 12cm and BC = 10cm
The height of the prism is also 9 cm.
What is the total surface area of the sculpture in cm2?
Type each step of your working on a separate line.
Answers
Answer:
99 (cm^2)
Step-by-step explanation:
Perpendicular to the AB segment at points D and C, the graph is divided into two triangles and a rectangle.
The area of the middle rectangle is equal to 8*9=72. The hypotenuse of the right triangle is 10cm, and one of the right sides is 9cm, so the other side is SQRT (10^2-9^2) = SQRT (19).
One side of the left triangle is 9cm long and the other side is 14-8-sqRT (19) = 6-sqRT (19) cm.
Then, add the area of the three parts.
72+9*sqrt（19）/2+9*（6-sqrt（19））/2=99 (cm^2)
im lost on this one
Answers
Use the replacement set {4, 8, 21} to find the solution of the equation
7n - 4 = 24.
Answers
Answer:
n=4
Step-by-step explanation:
7n - 4 = 24
24 + 4 = 28
7n = 28
n = 4
OR plug in the sets you gave and see if they equal 24
if there are 12 eggs per carton, then how many eggs do we have in 5 catons
Answers
60
Step-by-step explanation:
Just multiply 12 and 5
Kwami has 2 large sheets of paper he cuts each piece of paper in half then he cuts the smaller pieces of paper in half 2 more time
How many pieces of paper does he have now ?
Write this as a power?
Answers
Answer:
2 to the power of 3 or 2^3
Answer: 8
Step-by-step explanation:
•2 large sheets of papers:
i)cuts in half
-left 4pieces.
ii) the cutted one (smaller ones) cutted again 1 time
-left 6pieces.
iii) the cutted one will be cutted again (2nd time.) And so...
-left 8 pieces.
Please let me know if you haven't understand any of the steps...☺
l hope u like it....
Pleeeeeeeeeeeeeeeeease mark me as a brainliestt....❤
Thankyouuuu
Juanita and Rafael are planting gardens in their yards. They bought supplies from the same store. Juanita spent $210 on 9 rose bushes and 12 carnations. Rafael spent $40 on 3 rose bushes and 1 carnation, Write a system to represent the situation and determine what method is most efficient to solve that system.
Answers
Let x be the cost of one rose bush and y be the cost of one carnation.
Then we have the system of equations:
x * 9 + y * 12 = 210
x * 3 + y * 1 = 40
To determine the method that is most efficient to solve this system, we can use the fact that one of the equations has already solved for one of the variables, y.
We can use substitution to solve for the other variable, x.
Substitute y = (40 - 3x) into the first equation:
x * 9 + (40 - 3x) * 12 = 210
Simplify:
x * 9 + 480 - 36x = 210
Solve for x:
9x - 36x = 210 - 480
-27x = -270
x = 10
Substitute x = 10 into the second equation:
10 * 3 + y = 40
Solve for y:
y = 10
Therefore, one rose bush costs $10 and one carnation costs $10.
The most efficient method to solve the system was substitution, since one of the equations already solved for one of the variables.
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Eighty percent of adults drink coffee and seventy percent drink tea. What is the smallest possible percent of adults who drink both coffee and tea?
Answers
Answer:
50%
Step-by-step explanation:
Given that Eighty percent ( 80%) of adults drink coffee and seventy ( 70%) percent drink tea.
Let the percent of the adults that drink coffee and tea be y
The total percentage of adults = 100
80 - y + y + 70 - y = 100
150 - y = 100
- y = 100 - 150
Y = 50.
Therefore, the smallest possible percent of adults who drink both coffee and tea is 50 %
A Simpler Answer:
Add together the probabilities.
80%+70%=150%
Therefore we overcounted 50 percent, so the least amount possible is \(\boxed{50\%}\)
A carpenter wants to make a ladder, but he want to calculate the required wood for it. The distance between each step is 1 foot Price of wood is 500 per foot calculate the price of wood as well. Example: Input: Output: Enter the length of ladder in foot: 25 Enter the width of ladder in foot: 2 Required wood in foot: 98 Cost of wood is: 49000
Answers
Answer:
Part A
The required wood for the ladder is 98 feet
Part B
The cost of the wood is 49,000
Step-by-step explanation:
Part A
The dimensions of the ladder to be made with wood are;
The distance between each step of ladder = 1 foot
The length of the ladder = 25 feet
The width of the ladder = 2 feet
The required wood = 2 × 25 feet/rail + 2 feet/steps × 24 steps = 98 feet
The required wood for the ladder = 98 feet
Part B
The cost of the wood = 500/foot × 98 feet = 49,000
The cost of the wood = 49,000
A building in San Francisco has light fixtures consisting of small 2.35-kg bulbs with shades hanging from the ceiling at the end of light thin cords 1.50 m long.If a minor earthquake occurs, how many swings per second will these fixtures make?
Answers
The light fixtures will make approximately 0.914 swings per second during a minor earthquake in San Francisco.
To determine the frequency of the swings per second for the light fixtures, we need to use the formula for the period of a pendulum, which is T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.
In this case, the length of the pendulum is given as 1.50 m, and the mass of the bulb is given as 2.35 kg. We can assume that the shade and cord add negligible mass to the system. The acceleration due to gravity is approximately 9.8 m/s^2.
Plugging in the values, we get:
T = 2π√(1.50/9.8)
T ≈ 1.093 seconds
The frequency of the swings per second is the reciprocal of the period, so:
f = 1/T
f ≈ 0.914 Hz
It's important to note that this is an approximation, and the actual frequency may vary depending on factors such as the amplitude of the oscillations and the specific characteristics of the earthquake.
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Simplify the expression.
- 2.5f + 0.35 - 16 - 6
Answers
Answer:
−2.5f−21.65
Step-by-step explanation:
Simplify the expression.
-2.5f - 21.65
(Answer) −24.15