Answer:
convert the units
Step-by-step explanation:
68
Car A leaves the Grand Canyon at noon. It travels at 80 mph, but stops at 3 pm for an hour. Car leaves the Grand Canyon at 2 pm and travels at 90 mph without stopping on the same route as car A When does Car B catch up with Car A? hours afternoon
Car B will catch up with Car A at 4:45pm, after travelling for 2 5/8 hours (3 hours minus 1 hour minus 3/8 of an hour).
Car A leaves the Grand Canyon at noon and travels at 80 mph. At 3 pm, it stops for an hour. Car B leaves the Grand Canyon at 2 pm and travels at 90 mph without stopping.To calculate when Car B will catch up with Car A, we need to find the time difference between their departure times and the difference in their speeds.Car A leaves one hour before Car B, so we can subtract 1 hour from the total travel time. The difference in their speeds is 10 mph, which is equivalent to 1/8 of an hour for every hour of travel. Therefore, we can subtract 1/8 of an hour from the total travel time for every hour of travel.We can use these two deductions to calculate the total travel time: 3 hours - 1 hour - 3/8 of an hour = 2 5/8 hours. Therefore, Car B will catch up with Car A at 4:45pm.
Learn more about travelling here
https://brainly.com/question/17235551
#SPJ4
f(x)=-(x+3)(4x-5)(x-1)
The x-intercepts of the function f(x) are (-3,0), (5/4,0), and (1,0).
What is a function?A relation is a function if it has only One y-value for each x-value.
To find the x-intercepts of the function f(x) = -(x+3)(4x-5)(x-1), we need to set f(x) equal to zero and solve for x:
f(x) = -(x+3)(4x-5)(x-1) = 0
Since the product of three factors is zero if and only if one or more of the factors is zero, we can set each factor equal to zero and solve for x:
x+3 = 0 => x = -3
4x-5 = 0 => x = 5/4
x-1 = 0 => x = 1
Therefore, the x-intercepts of the function f(x) are (-3,0), (5/4,0), and (1,0).
To learn more on Functions click:
https://brainly.com/question/21145944
#SPJ1
In 1-3, find the diagonal distance between each given pair of points to the nearest tenth. 1. 2. 3. 10 298765 4 3 A 321 2 4 00110 8 B S 67 8 9 10 -5-4-3-2-1 5 4 -3 2- -1- -1 N -2- 1 2 3 4 5 -3 4 & -5 B 10 9 8 7 6 5 4 32 1 A B 8 9 10
Answer:
1. 10.0 2. 10.2 3. 10.5 The diagonal distance between these two points is 298,766.5.
Step-by-step explanation:
1. Find the vertical distance between the two points, which is (10 - 3) = 7.
2. Find the horizontal distance between the two points, which is (298765 - 4) = 298760.
3. Use the Pythagorean Theorem to find the diagonal distance between the two points, which is the square root of (7^2 + 298760^2) = 298,766.5.
randy went to terriffic tacos and purchased 5 tacos and 3 drinks for his friends. Randy spent $16.60. Jeff went to terrific tacos abd purchased 7 tacos and 4 drinks for his friends. Jeff spent $22.85. What is the cost of one taco at terrific tacos.
The cost of one taco at Terrific Tacos is $3.45. To calculate this, we can start by finding the total cost for all tacos purchased.
5 tacos purchased by Randy cost $17.25, and 7 tacos purchased by Jeff cost $24.15. This brings the total cost for all tacos to $41.40. Then, we can divide this total cost by the total number of tacos purchased (12) to get the cost of one taco:
$41.40 / 12 = $3.45.To calculate this, it is important to remember that the total cost of both orders is the sum of Randy's cost and Jeff's cost. This is because both orders were placed at the same restaurant. Then, the total cost needs to be divided by the total number of tacos purchased by both customers. This gives the cost of one taco at Terrific Tacos.
Learn more about Cost:
https://brainly.com/question/25109150
#SPJ4
Planes X and Y intersect at a right angle. Line A B and Line C G lie in plane X and do not intersect. Line R S lies in plane Y.
Vertical plane x intersects horizontal plane y. Line R S is horizontal on plane y. Lines A B and C G are vertical and beside each other on plane x. A right angle is indicated between the lines on the y plane and x plane. Lines A B and D G are parallel.
Which statements are true? Select three options.
Based on the given information, the following statements are true:
1. Line R S is perpendicular to lines A B and C G on the y plane.
2. Line R S is parallel to line D F on the x plane.
3. Lines A B and C G are perpendicular to each other on the x plane.
What is Right angle ?
A right angle is an angle that measures exactly 90 degrees, or a quarter of a complete turn. It is often represented by a small square drawn at the vertex of the angle, as shown in the symbol "∟".
Explanation:
Statement 1 is true because line R S lies in plane Y and is perpendicular to the intersection of planes X and Y, which is represented by the right angle between lines A B and C G in the x plane.
Statement 2 is true because line R S is horizontal on plane Y, and line D G is parallel to line A B on the x plane, so line R S is also parallel to line D F on the x plane.
Statement 3 is true because lines A B and C G are beside each other and do not intersect on plane X, so they must be parallel to each other and perpendicular to line R S in the y plane.
To know more about Right angle visit:
https://brainly.com/question/30776095
#SPJ1
factorization of 120
Answer:
Step-by-step explanation:
120=10*12
120=5*2*4*3
120=5*2*2*2*3
120=(2^3)*3*5
Sue is n years old. Her sister is 7 years old and her brother is twice Sue's age. All three siblings have a total age of 31.
Write an equation to represent this.
n = 10
Her sister is 7 years old subtract that from 31 gets you 24, then double 7 is 14 so subtract 14 from 24, and that gets you the value of 10 which equals 10
Which of the contexts below could not be modeled by an exponential function?
• A car depreciates at a rate of 3.7% per year.
• A sunflower was growing at a rate of 2.75 inches per week.
• A certain population of 25 aggressive zombies quadruples every week.
Money invested in a savings account grows at an annual rate of 2.2%.
Answer:
The context that could not be modeled by an exponential function is "A car depreciates at a rate of 3.7% per year." Exponential functions are typically used to model situations involving growth or decay that occur at a constant rate over time. In this case, the rate of depreciation of the car is decreasing over time, so it cannot be modeled by an exponential function. A linear function or a more complex model may be more appropriate.
EFG is a triangle. E is (5,2) and F is (1,-4) and x =1 is a line of symmetry. (a) Work out the coordinates of G. (b) Work out the name of the line through G and E.
a) The coordinates of G are (3, -4)
b) The name of the line through G and E is y = (-3/2)x + 13/2
(a) Since the line x=1 is a line of symmetry for triangle EFG, we know that G must lie on the same line of symmetry, and hence its x-coordinate should be reflected across the line x=1 from the x-coordinate of E.
The x-coordinate of E is 5, so the x-coordinate of G should be 5-2=3. That is, G has an x-coordinate of 3.
Similarly, since the line x=1 is a line of symmetry, the y-coordinate of G should be the same as the y-coordinate of F, which is -4. Therefore, G has a y-coordinate of -4.
Thus, the coordinates of G are (3, -4).
(b) To find the name of the line through G and E, we can first calculate the slope of the line:
slope = (y2 - y1)/(x2 - x1) = (-4 - 2)/(3 - 5) = -3/2
The line through G and E has a slope of -3/2.
Next, we can use the point-slope form of the equation of a line to find the equation of the line. We can use either point E or point G to write the equation, but it might be easier to use point G since we have already calculated its coordinates.
Using point-slope form with point G and the slope -3/2, we get:
y - (-4) = (-3/2)(x - 3)
Simplifying and rearranging, we get:
y = (-3/2)x + 13/2
Learn more about coordinates here
brainly.com/question/14778438
#SPJ4
farmer ed has meters of fencing, and wants to enclose a rectangular plot that borders on a river. if farmer ed does not fence the side along the river, find the length and width of the plot that will maximize the area. what is the largest area that can be enclosed?
The length of 175 metres and width of 87.5 metres will maximise the area 15312.5 square metres.
We have been given that Farmer Ed has 350 metres of fencing and wants to enclose a rectangle mat plot that borders on a river. Farmer Ed does not fence the side along the river.
First of all we will make a relevant figure to represent the perimeter of fencing for 3 sides as shown in the attachment.
Since Ed will not fence the side along the river, fencing is needed for 3 sides and the perimeter of the fencing would be x + x + y = 2x + y.
Now we will equate perimeter with 350 as: 2x + y = 350
y=350-2x
We know that the area of the rectangle is width times length.
A = X•Y
Upon substituting the value of y in area equation, we will get:
A = x•(350-2x)
A(x) = 350x -2x²
Now we will find derivative of area function as:
A'(x) = d(350- 2)/dx
A'(x) = 350-4x
Now we will equate derivative with 0 and solve for x as:
0 = 350-4
4x = 350
x = 350/4 - 87.5
Upon substituting x = 87.5 in equation y = 350-2x, we will get:
y = 350 - 2x
= 350 - 2(87.5)
= 350-175
y = 175
Therefore, the length of 175 metres and width of 87.5 metres will maximise the area.
on substituting x = 87.5 in area function, we will get:
A(87.5) = 350(87.5)-2(87.5)²
A(87.5) = 30625-2(7656.25)
A(87.5) = 30625-15312.5
A(87.5)= 15312.5
Therefore, the largest possible area enclosed would be 15312.5 square metres.
Visit here to learn more about the derivative: https://brainly.com/question/25324584
#SPJ4
—--------- CORRECT QUESTION FORMAT IS GIVEN BELOW —----------
(Q).
Farmer Ed has 350 meters of fencing and wants to enclose a rectangle mat plot that borders on a river. If farmer Ed does not fence the side along the river find the length and width of the plot that will maximize the area. What is the largest area that can be enclosed ?
what is the perimeter of a square whose diagonal is 3√2?
The perimeter of the square is 12 units.
Let's call the side length of the square "s". We can use the Pythagorean theorem to relate the side length of the square to its diagonal:
s² + s² = (3√2)²
2s² = 18
s² = 9
s = √9 = 3
So the side length of the square is 3. Since all sides of a square are equal, the perimeter of the square is 4 times the side length:
Perimeter = 4s = 4(3) = 12
Therefore, the perimeter of the square is 12 units.
To Learn More About perimeter click
https://brainly.com/question/6465134
#SPJ4
What is sklearn linear regression?
SKLearn or Scikit-learn's linear regression is a machine learning algorithm that models the relationship between a dependent variable and one or more independent variables by fitting a linear equation to the observed data.
In simpler terms, linear regression is a statistical method used to predict a numerical outcome based on one or more input variables. Scikit-learn's implementation of linear regression is widely used in the field of machine learning for tasks such as predicting house prices, stock prices, and other numeric outcomes.
The linear regression model assumes a linear relationship between the input and output variables and seeks to minimize the sum of the squared differences between the predicted and actual values. Scikit-learn's implementation provides a powerful and flexible interface for fitting, evaluating, and using linear regression models for a wide range of predictive tasks.
Learn more about Linear regression:
https://brainly.com/question/25987747
#SPJ4
Is the exact time it takes to evaluate 27 + 72 a discrete random variable, a continuous random variable, or not a random variable?
The time it takes to evaluate 27 + 72 is not a random variable, because it is a deterministic quantity that does not involve any uncertainty or probability.
According to given condition:The exact time it takes to evaluate 27 + 72 is not a random variable, because it is a deterministic quantity that does not involve any element of chance or uncertainty. The result of the addition is always the same and can be calculated precisely in a finite amount of time.
Random variables, on the other hand, are variables that can take on different values with certain probabilities, and are used to model phenomena that involve uncertainty or randomness. Discrete random variables take on a countable set of values, while continuous random variables take on an uncountably infinite range of values.
In summary, the time it takes to evaluate 27 + 72 is not a random variable, because it is a deterministic quantity that does not involve any uncertainty or probability.
In mathematics, a variable is a symbol or letter that represents a value or quantity that can change or vary. Variables are used to express relationships between different quantities and to solve equations.
For example, in the equation y = 2x + 3, x and y are variables. The value of y depends on the value of x, which can vary. We can solve for the value of y for different values of x, and the solution will be a set of ordered pairs (x, y) that form a straight line when plotted on a graph.
Variables can be used to represent a wide range of quantities, including numbers, vectors, functions, and more. They are an essential tool in many branches of mathematics, including algebra, calculus, and statistics.
In addition to mathematics, variables are also used in many other fields, including science, engineering, and computer programming, to represent quantities that can change or be controlled. In these fields, variables are often used to model complex systems or to simulate experiments, and are a fundamental concept in data analysis and computational thinking.
To know more about variable visit :
https://brainly.com/question/28248724
#SPJ1
At a NASCAR race, the lead car has 7 1/2 laps to go. Suddenly there is a caution flag, so all the racers must hold position while continuing at a reduced speed for 5/6 of a lap. When racing resumes, how many laps does the lead car have to go?
After reduced speed when race resumes the number of laps left are 6 2/3 laps.
What is the definition of speed?
The following is the definition of speed:
The rate with which the position of an item changes .
The ratio of distance travelled to time taken in travelling is known as speed. Speed is a scalar number because it has only one direction and no magnitude.
Formula for Speed
The speed formula is as follows:
s=d/t
Where,
s= speed in metres per second, d = distance travelled in metres, and t = time in seconds.
Now,
Total laps left for the lead car= 7 1/2
After race is paused or reduced speed for race until 5/6 of a lap
so only 1/6 of a lap had normal racing
so total lap left is 15/2-1+1/6
=45-6+1/6
=40/6
=20/3
=6 2/3
Hence,
when race resumes the number of laps left are 6 2/3 laps.
To know more about speed visit the link
https://brainly.com/question/7359669?referrer=searchResults
#SPJ1
based only on the information given in the diagram which congruence theorems or postulates could be given as reasons why JKL=QRS
The congruence theorems and postulates that could be given as reasons why JKL=QRS are
HL, LL, SSS, SASWhat is the HL Theorem?HL is the hypotenuse-leg theorem. It states that if the hypotenuse and leg of one triangle are congruent to the hypotenuse and corresponding leg of another triangle, the triangles are congruent. We have that both legs of the triangles are congruent as well as the hypotenuse, so the HL theorem applies.
LL is the leg-leg theorem. It states that if both legs of one right triangle are congruent to both legs of the second triangle, the triangles are congruent. We have that both legs are congruent; this is the LL theorem.
SSS is the side-side-side theorem. It states that if all three sides of one triangle are congruent to the three sides of another triangle, then the triangles are congruent. All three sides of both triangles are congruent, so this is the SSS theorem.
SAS is the side-angle-side theorem. It states that if two sides and an included angle of one triangle are congruent to the corresponding two sides and included angle of another triangle, then the triangles are congruent. We have JL≅QS, ∠L≅∠S and LK≅SR. This is the SAS theorem.
Read more about congruence theorem here:
https://brainly.com/question/2102943
#SPJ1
Which expression shows 50+ 30 written as a product of two factors
Hence, 10(5 + 3) is the equation that represents 50 + 30 written as the product of two elements.
what is expression ?It is able to multiply, divide, add, or deduct in mathematics. The follows is how an utterance is put together: Number, expression, and mathematical operator The components of a linear equation include numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to contrast terms and phrases. An expression, usually known as an algebraic expression, is there any mathematical statement that contains variables, quantities, and an arithmetic function between them. For instance, the word m in the given equation is distinguished from the words 4m and 5 by the arithmetic symbol +, just like the variable m in the statement 4m + 5.
given
Check each choice.
(A) 5(10 + 7)
= 5(10) + 5(7) (7)
= 50 + 35
(B)5(10+ 3)
= 5(10) + 5(3) (3)
= 50 + 15
(C)10(5+ 2)
= 10(5) + 10(2) (2)
= 50 + 20
(D) 10(5 + 3)
= 10(5) + 10(3) (3)
= 50 + 30
Hence, 10(5 + 3) is the equation that represents 50 + 30 written as the product of two elements.
To know more about expressions visit :-
brainly.com/question/14083225
#SPJ1
How do you know if a midpoint Riemann sum is an overestimate or underestimate?
When the graph is decreasing, the rectangles give an underestimate and when the graph is increasing, they give an overestimate. These trends are accentuated to a greater extent by areas of the graph that are steeper.
We only need to add up the areas of all the rectangles to determine the area beneath the graph of f. It is known as a Riemann sum. The area underneath the graph of f is only roughly represented by the Riemann sum. The subinterval width x=(ba)/n decreases as the number of subintervals n increases, improving the approximation. Increased sections result in an underestimation while decreasing sections result in an overestimation. We now arrive at the middle rule. The height of the rectangle is equal to the height of its right edges for a right Riemann sum and its left edges for a left Riemann sum. The rectangle height is the height of the top edge's midpoint according to the midpoint rule, a third form of the Riemann sum.
Learn more about Riemann Sum here: brainly.com/question/30404402
#SPJ4
Which equation, written in the form of y=x+b, represents the table of values?
X y
2 7
3 8
4 9
5 10
A.y=x+2
B.y=x+5
C.y=x+7
D.y=x+9
Answer:
Option B. y=x+5
Step-by-step explanation:
If x=2 and y=7
Inserting the values into y=x+5
7=5+2
7=7
If x=3 and y=8
y=x+5
8=3+5
8=8
If x=4 and y=9
y=x+5
9=4+5
9=9
If x=5 and y=10
y=x+5
10=5+5
10=10
Jon put a pie in the oven at 5:15 p.m. He took the pie out of the oven 35 minutes later. At what time did Jon take the pie out of the oven?
Answer: 5:50 PM
Step-by-step explanation:
5:15 PM + 0:35 minutes = 5:50 PM
2 dice are thrown simultaneously what is the probability that the sum of the faces that the
The probability of the sum of the faces that the 2 dice are thrown simultaneously can be found by using the formula for the probability of independent events, which is P(A) * P(B).
The probability of the sum of the faces when 2 dice are thrown simultaneously depends on the specific sum you are looking for. You can use the formula P(A) * P(B) and the number of possible outcomes for each sum to find the probability.
First, let's determine the probability of each event. The probability of rolling a specific number on a single die is 1/6, since there are 6 possible outcomes. Therefore, the probability of rolling a specific number on both dice is (1/6) * (1/6) = 1/36.
Next, we need to determine the number of possible outcomes for the sum of the faces. There are 11 possible sums (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12), each with a different number of possible outcomes. For example, there is only one way to roll a 2 (1 + 1), but there are six ways to roll a 7 (1 + 6, 2 + 5, 3 + 4, 4 + 3, 5 + 2, 6 + 1).
Finally, we can use the formula to find the probability of each sum. For example, the probability of rolling a 7 is (6/36) = 1/6. The probability of rolling a 2 is (1/36).
For more information about probability, visit:
https://brainly.com/question/24756209
#SPJ11
Greg has $30 to spend at the arcade. He bought a snack pack for $6.75. Each game ticket costs $0.50. How many game tickets could Greg purchase?
46 tickets
48 tickets
23 tickets
75 tickets
Answer:
46 tickets
Step-by-step explanation:
$30 - $6.75 = $23.25 ÷ .50 = 46.5
You can't have half a ticket, so 46
Answer: 46 tickets
Step-by-step explanation:£23.25 are left after he has purchased his snack pack. because game tickets cost £0.50 , all you have to do is times 0.5 by the numbers given (46,48,23,75 ) until you get past the money limit which is £23.25
all i did was 46 x 0.5 which was £23
if i were to do 48 x 0.5 the answer i would get is £24, however, as you can see the amount of money greg has left is £23.25, which means 48 tickets is out of his budget
what is 511 in into cm?
To convert 511 inches into centimeters by using the conversion factor of 2.54 cm/inch.
Conversions play a crucial role in our daily lives. Whether it's converting the temperature from Fahrenheit to Celsius, converting currency when traveling to another country, or converting units of measurements, it's essential to know how to convert between different values. In this article, we'll explain how to convert 511 inches into centimeters.
To convert 511 inches into centimeters, we need to use a conversion factor. The conversion factor for converting inches to centimeters is 2.54. This means that one inch is equal to 2.54 centimeters. To convert 511 inches to centimeters, we need to multiply 511 by 2.54.
511 inches x 2.54 cm/inch = 1298.94 cm
Therefore, 511 inches is equivalent to 1298.94 centimeters. It's important to note that when converting between different units of measurements, it's crucial to use the correct conversion factor. In this case, we used the conversion factor of 2.54 cm/inch to convert inches into centimeters.
To know more about conversion here.
https://brainly.com/question/3477680
#SPJ4
What is the conversion of 3 1/3 as a decimal ?
Answer: 3.33 repeating
Step-by-step explanation: .
You pass through a particular stoplight on the way to school each morning. You have a 35% chance of catching the light red on any given day. In a three-day period:
a. What is the probability that you will catch the light red twice?
b. What is the probability that you catch the light red all three days?
c. what is the probability that you don’t catch the light red any of the three days?
Number 6 letter c, d, e
c) The experimental probability that you flip 3 heads is,
d) The experimental probability that you flip 3 tails is,
e) There are 12 times to flip 3 tails out of 200 trials of flipping 3 coins.
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one
Given that;
You flip 3 coins 50 times.
And, Flipping 3 tails occurs 6 times and flipping 3 heads occurs 7 times.
Hence, The experimental probability that you flip 3 heads is,
⇒ 7 / 50
And, The experimental probability that you flip 3 tails is,
⇒ 6 / 50
And, Number of times to flip 3 tails out of 200 trials of flipping 3 coins is, x
Hence, We can formulate;
x = 3/25 × 200
x = 3 × 4
x = 12
Thus, There are 12 times to flip 3 tails out of 200 trials of flipping 3 coins.
Therefore, we get;
c) The experimental probability that you flip 3 heads is,
d) The experimental probability that you flip 3 tails is,
e) There are 12 times to flip 3 tails out of 200 trials of flipping 3 coins.
Learn more about the probability visit:
https://brainly.com/question/13604758
#SPJ9
Determine the correlation for the situation. Choose positive/negative/ or no correlation for each.
The outside temperature in the sumer and the cost of the electric bill ( for air conditioning)
solve for this equation
8x+6=14-4(2-2x)
Answer: x should be equal to -2
Step-by-step explanation:
8x + 6 = 14 - 4(2 - 2x)
8x + 6 = 14 - 8 - 4x
8x + 6 = 6 - 4x
8x = - 4x
x = -2
Ian walks 4 1/2 miles every day. How many miles does Ian walk in 4 1/2 days.
The solution is, Ian walk in 4 1/2 days 81/4 = 20.25 miles.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
given that,
Ian walks 4 1/2 miles every day
i.e. in 1 day walks = 9/2 mile
so, Ian walk in 4 1/2 days is.
in 9/2 days walks = 9/2* 9/2 miles
=81/4 miles
Hence, The solution is, Ian walk in 4 1/2 days 81/4 = 20.25 miles.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ1
a)T= √n, find the value of T when n=1HH.
b) Given that T:
Make 'n' the subject
Formula.
The value of T when n = 1 is 1 and the equation of n is n = T²
How to find the value of TFrom the question, we have the following parameters that can be used in our computation:
T= √n
When n = 1, we jave
T= √1
Evaluate
T = 1
Recall that
T= √n
Take the square of both sides
n = T²
Hence, the equation is n = T²
Read more about equation
https://brainly.com/question/2972832
#SPJ1
how many billion in a trillion
Answer:
1,000,000,000,000 = 1,000,000,000 × 1,000
Step-by-step explanation:
1,000,000,000,000 = 1,000,000,000 × 1,000One trillion equals a thousand billions, or a million millions.
