7.7.47 Assigned Media A snowstorm causes a bus driver to decrease the usual average rate along a 240-mile route by 10 miles per hour. As a result, the bus takes four hours longer than usual to complete the route. At what average rate does the bus usually cover the 240-mile route? miles per hour. The bus usually covers the 240-mile route at an average rate of
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Related Questions
Geometry is the study of how shapes and space and things that we see . . . a. Change the way we use science b. Affect our thoughts on life c. Differ from how our parents understood math d. Relate to each other e. Make a difference in school
Answers
Answer:
a. Change the way we use science
Step-by-step explanation:
Geometry is one of the oldest branch of mathematics. It deals with the shapes and forms and sizes of different objects and the principles of of providing solution to world life problem using these concepts.
It provides scientific solutions to many real life problems. It has many practical utilization in our daily lives. We can provide any solution by using different concepts of science to it.
Please provide an explanation for this problem, thank you!Car A (traveling north at 70 mph) and car B (traveling west at 50 mph) are heading toward the same intersection. Car A is 5 miles from the intersection while car B is 6 miles from the intersection. Find parametric equations that describe the motion of cars A and B.A) Car A: x = 0, y = 70t-5; Car B: x = 6 - 50 t, y = 0B) Car A: x = 0, y = 50t - 6; Car B: x = 70t - 5, y = 0C) Car A: x = -70t + 5, y = 0; Car B: x = 6 - 50t, y = 0D) Car A: x = 50t - 6, y = 0; Car B: x = 0, y = 50 - 70t
Answers
The correct parametric equations for the motion of Car A and Car B are: Car A: x = 70t, y = 5 + 70t; Car B: x = 6 - 50t, y = 50t. Option C is correct.
Car A is traveling north at a speed of 70 mph. Therefore, its velocity vector can be represented as <0, 70>.
Car B is traveling west at a speed of 50 mph. Therefore, its velocity vector can be represented as <-50, 0>.
Let's assume that at time t = 0, Car A is at position (0, -5) and Car B is at position (6, 0).
Then, the position vectors for Car A and Car B at any time t can be given as:
Position of Car A = <0, -5> + t<0, 70> = <0, 70t-5>
Position of Car B = <6, 0> + t<-50, 0> = <6-50t, 0>
Therefore, the parametric equations for the motion of Car A and Car B are:
Car A: x = 0, y = 70t-5
Car B: x = 6 - 50t, y = 0
So, option C is the correct answer.
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What is the product of (-a + 3)(a + 4)
Answers
Answer:
-a^2-a+12
Step-by-step explanation:
After multiplying and opening the brackets
we get
-a^2-4a+3a+12
=-a^2-a+12. ( simplifying)
hope it helps.....
Answer:
\( \boxed{\sf -a^2 - a + 12} \)
Step-by-step explanation:
⇒(-a + 3)(a + 4)
⇒-a(a + 4) + 3(a + 4)
⇒(-a)(a) + (-a)(4) + (3)(a) + (3)(4)
⇒-a² - 4a + 3a + 12
⇒-a² - a + 12
Lots of points!! How do I solve 4-term equations like these:
(5x^3 + 3x^2 + 9x) / 9x^2
Answers
Answer:
To solve 4-term equations like the one you've written, you need to simplify the expression and isolate the variable. Here are the steps you can follow:
Start by dividing all terms in the numerator by 9x^2:
(5x^3 + 3x^2 + 9x) / 9x^2 = (5/9)x + (3/9)x^(2-2) + (1/9)x^(3-2)
Simplify each term by combining like terms:
(5/9)x + (3/9)x^(2-2) + (1/9)x^(3-2) = (5/9)x + (3/9) + (1/9)x^(1)
The simplified expression is your answer:
(5/9)x + (3/9) + (1/9)x^(1) = (5/9)x + (3/9) + (1/9)x
Step-by-step explanation:
Blaise bought a used car for $3,250. He added a turbocharger that cost t dollars and a new air intake manifold that cost $178, bringing the total cost to $3,587. This situation can be represented by the equation $3,250 + $178 + t = $3,587. How much did the turbocharger cost?
Answers
Answer:
t = $159
Step-by-step explanation:
3587-3250-178 = t
t = 159
Anthony and Joan have $10 to buy apples and oranges at the market. They will buy a total
of 25 pieces of fruit. Apples cost 50 cents each and oranges cost 25 cents each. Which of
these systems best represents this situation?
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x + y = 25 is the number of pieces of fruit they will buy, where x is apples and y is oranges.
0.50x + 0.25y = 10 applies the cost, in cents, to each piece of fruit. The 10 is 10.00, keeping everything to the same number of decimal places.
What is 290,750÷125 this is a good one I hope u can work this out.
Answers
Answer:
2326
Step-by-step explanation:
after conducting the appropriate test, your decision and conclusion are a) reject h0: there is sufficient evidence to conclude that more than 30% of teen girls smoke to stay thin. b) do not reject h0: there is not sufficient evidence to conclude that less than 30% of teen girls smoke to stay thin. c) do not reject h0: there is not sufficient evidence to conclude that more than 30% of teen girls smoke to stay thin. d) reject h0: there is sufficient evidence to conclude that less than 30% of teen girls smoke to stay thin.
Answers
Based on the provided options, the appropriate decision and conclusion after conducting the test would be: c) Do not reject H0: There is not sufficient evidence to conclude that more than 30% of teen girls smoke to stay thin.
When we conduct a hypothesis test, we set up a null hypothesis (H0) and an alternative hypothesis (Ha) based on the research question. In this case, the null hypothesis could be that the proportion of teen girls who smoke to stay thin is not greater than 30% (p ≤ 0.30). The alternative hypothesis would be that the proportion is greater than 30% (p > 0.30). After conducting the test and analyzing the results, if we do not find sufficient evidence to reject the null hypothesis, it means that we don't have enough evidence to conclude that the proportion of teen girls who smoke to stay thin is greater than 30%.
If the test results do not provide enough evidence to reject the null hypothesis, we accept the null hypothesis, indicating that there is not sufficient evidence to conclude that more than 30% of teen girls smoke to stay thin
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evaluate b(x)=18-0.5x when x= -2,0, and 5.
Answers
Answer:
19, 18, 15.5
Step-by-step explanation:
b(-2) =
18 - 0.5(-2)
18 - (-1)
b(x) = 19
b(0) =
18 - 0.5(0)
18 - 0 =
b(x) = 18
b(5) =
18 - 0.5(5)
18 - 2.5
b(x) = 15.5
HELPP due at 11:20!!
Answers
Answer:
try B if not maybe C
Step-by-step explanation:
Danielle needs to pay $50.00 to attend her college’s semi-formal. When she works in the dining hall, she makes $20.00 per day plus $6.00 for every additional hour she works. If she wants to earn at least $50.00 by Friday, she thinks that she only needs to work 3 additional hours but her friend Jurrae thinks that she needs to work 5
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Let f(x) equals 1/2 X -3. Suppose you subtract six from the input of f to create a new function G, and then multiply the input of the function G by four than three a function each. What will the equation represent H
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The equation of the function f(x) is h(x) = 1/2(4x - 6) - 3
How to determine the equation of the function f(x)?From the question, we have the following equation that can be used in our computation:
f(x) = 1/2x -3
Also, we have the following steps used to create the function h(x)
Subtract six from the input of f to create a new function G, Multiply the input of the function g by fourWhen these steps are represented as an equation, we have the following representations
Subtract six from the input of f to create a new function G: g(x) = 1/2(x- 6) - 3Multiply the input of the function g by four: h(x) = 1/2(x * 4- 6) - 3In the above computations, we have
h(x) = 1/2(x * 4- 6) - 3
Evaluate the product
h(x) = 1/2(4x- 6) - 3
Hence, the equation is h(x) = 1/2(3x- 6) - 3
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I have a pool in shape of a rectangle with a length of 28 feet and a width of 14 feet. I also have the stairs that form a trapezoid with the measurements of a=4 feet and b=6 feet and the height is 2 feet. what is the total area of both shapes combined for the pool? *(rectangle area = A=b x h) *Trapezoid Area =A = 1/2 (a+b)xh
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Answer:
Step-by-step explanation:
28x14x4x6x2+18816
helpppppppppppp meeeeeeeeeeee pleaseee!!!
Answers
Each element in the domain is mapped into only one element in the range, so this is a function, the correct option is D.
Is the relation a function?
A relation maps inputs into outputs, such that the notation used is (input, output).
And a relation is a function only if each input is mapped into only one output.
Here we have the relation:
{(4, 7), (2, 8), (-2, 8), (0, 9)}
There we can see that no input is mapped into more than one output, so this is a function, the correct option is D.
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Calcular la hipotenusa del triángulo rectángulo de lados 3cm y 4cm. (El proceso es importante)
Answers
utilizar el teorema de Pythagorus.
hipotenusa² = 3² + 4²
= 9 + 16
= 25
hipotenusa = √25 = 5 cm
the value of a dirtbike increases by 30% each year if you purchased this dirtbike today for $500 to the nearest dollar how much will the bike be worth five years later
Answers
Answer:
$1856.47
Step-by-step explanation:
500 x 1.3^5=1856.465
In the US, the gear shift for a car with a manual transmission is on the right-hand side of the driver. Does this discourage those who are left-handed from driving a manual transmission car? To answer this question, several drivers were surveyed about their handedness and the type of transmission they have in their automobile. The results are displayed below. Which of the following statements is true, according to the graph? There was an equal number of left-handed people and right-handed people chosen for the survey. Right-handed people are much more likely to drive a manual transmission than left-handed people. Left-handed people are much more likely to drive an automatic transmission than right-handed people. The percentage of people for each transmission preference is relatively the same for left-handed and right-handed people.
Answers
According to the graph, the percentage of people for each transmission preference is relatively the same for left-handed and right-handed people.
According to the given graph, the percentages of people for each transmission preference (manual or automatic) are shown for both left-handed and right-handed individuals.
To determine the statement that is true, we analyze the graph. Upon examination, it can be observed that the percentages of people for each transmission preference appear to be relatively similar for both left-handed and right-handed individuals.
There is no significant difference or skew toward a particular transmission preference based on handedness. Therefore, the statement that holds true according to the graph is that the percentage of people for each transmission preference is relatively the same for left-handed and right-handed people.
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find the mean of the following group of numbers: 6.1, 5.9, 4.2, 5.9, and 10.7. round your answer to the nearest tenth. responses 4.2 4.2 10.7 10.7 6.6 6.6 6.5
Answers
The mean of the given set of group numbers is 6.6
Given,
In the question:
The Group of numbers are as follows:
6.1, 5.9, 4.2, 5.9 and 10.7
To find the mean of the given set of group of numbers.
Now, According to the question:
Given is the following data:
6.1, 5.9, 4.2, 5.9 and 10.7
We can find the mean of the given set of data using the formula-
Mean (M) = Σ a[i]/n = (Sum of all the elements)/(total number of elements)
Now, n = 5
and Σ a[i] = 6.1 + 5.9 + 4.2+ 5.9 + 10.7 = 32.8
Putting the values in the formula, we get:
M = 32.8/5 = 6.56 = 6.6
Hence, The mean of the given set of group numbers is 6.6
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3
Find the slope and y-intercept from the following graph of a linear equation.
Answers
Answer:
A. Slope = 4 and y-intercept = 3
Triangle ABC is isosceles with AB = AC.
Angle BAC = 110° and the area of the triangle is 85cm2.
Calculate AC
Answers
If Triangle ABC is isosceles with AB = AC is: 13.45 cm.
Triangle ABC∆ABC = 85 cm² .
(1/2) ×AC×AB ×sinA = 85 cm²
AC=AB=x
Hence:
85= (1/2)x²×sin110°
A² × sin 110° = 170
A² ×0.94 = 170
A² = 170/0.94
A² =√ 180.85
A= 13.45 cm
Therefore if Triangle ABC is isosceles with AB = AC is: 13.45 cm.
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Please help me, I’ll give points and brainliest!!
Answers
Answer:
B
Step-by-step explanation:
It would be b, because she withdraws money. A withdrawal of money would be negative.
3 however, would be positive. The number of days cannot be negative, and we cannot count backwards in time.
Hope this helps! :)
To approach the runway, a pilot of a small plane must begin a 7 degrees descent starting from a height of 1069 feet above the ground. To the nearest tenth of a mile, how many miles from the runway is the airplane at the start of this approach?
Answers
The airplane is approximately 1.7 miles from the runway at the start of the approach.
What is trigonometry?
Trigonometry, the branch of mathematics concerned with specific functions of angles and their application to calculations. There are six functions of an angle commonly used in trigonometry
To solve this problem, we need to use trigonometry. The angle of descent is 7 degrees, which means that the angle between the horizontal ground and the plane's flight path is 7 degrees. We can use the tangent function to find the distance from the runway:
tangent (7 degrees) = opposite / adjacent
The opposite side is the height of the plane above the ground, which is 1069 feet. The adjacent side is the distance from the plane to the runway, which we need to find.
tangent (7 degrees) = 1069 / adjacent
We can solve for the adjacent side by multiplying both sides by the denominator:
adjacent = 1069 / tangent(7 degrees)
Using a calculator, we get:
adjacent = 1069 / 0.122173048
adjacent = 8743.3 feet
To convert this to miles, we divide by the number of feet in a mile:
adjacent = 8743.3 / 5280
adjacent = 1.655 miles
Rounding to the nearest tenth of a mile, we get:
The airplane is approximately 1.7 miles from the runway at the start of the approach.
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Which statement about the graphs of functions g(x)
(x - 1)2 and f(x) = x2 is true?
Answers
Answer:What is the axis of symmetry and vertex for the function f(x) = 3(x - 2)2 + 4? ... Which best describes the transformation from the graph of f(x) = x2 to the graph of ... The graph of the function is 1 unit up and 2 units to the left from the graph of y = x2. ... Which statement about the function is true?
Step-by-step explanation:
10) Determine the value of 10 - t when t = 4.
11) Determine the value of 12 + m when m = 6.
12) Determine the value of a + 5.2 when a = 1.9.
13) Determine the value of 3.4 - b when b = 2.1.
Answers
Answer:
10) 6
11) 18
12) 7.1
13) 1.3
Step-by-step explanation:
all you have to do is substitute
10 - 4 = 6
12 + 6 = 18
1.9 + 5.2 = 7.1
3.4 - 2.1 = 1.3
Which choice describes the translations represented by the translation rule (x,y)-->(x + 2, y - 4)
1. 2 units to the right and 4 units down
2. 4 units to the right and 2 units down
3. 2 units to the left and 4 units up
4. 2 units to the left and 5 units down
Answers
Answer:
go to Brainly for the answer
Step-by-step explanation:
Determine whether the situation is linear or nonlinear, and proportional or nonproportional. Joanna is paid $10 per hour. The situation is (select) and (select) .
Answers
Answer:
The situation is linear and proportinal
Step-by-step explanation:
Hopes this help!!
The situation is linear and proportional for Joanna is paid $10 per hour.
What is linear equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant.
Given,
Joanna is paid $10 per hour.
Let earnings of Joanna is y and number of hours be x
then,
Joanna earning in x hours
y = 10x
Which is linear equation
and
y/x = 10 = k
Earning and number of hours are proportional.
Hence, Joanna is paid $10 per hour is linear and proportional situation.
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What is the equation of the line that passes through the point (3,-7) and has a undefined slope
Answers
Answer:
x = 3
Step-by-step explanation:
A vertical line has undefined slope. Its equation is of the form x=c, for some constant c.
Line through (3, -7)To make sure the line passes through a point with an x-coordinate of 3, the constant in the equation must be 3:
x = 3 . . . . . . vertical line through (3, -7)
How can i simplify 8(3x + 8)
Answers
Answer:12x+64
Step-by-step explanation:
you x 8 and 3 (expand the bracket) and then x 8 and 8 =64
Sandy and Tom went for a run. Sandy started running 12 seconds before Tom. Sandy runs 7 meter per second. Tom runs 9 meters per second. How long did it take for both Sandy and Tom to cover the same distance?
Answers
It took both Sandy and Tom 54 seconds to cover the same distance.
To solve this problemWe can set up an equation based on their relative speed
Take the supposition that Tom needs "t" seconds to travel the distance. Sandy started jogging 12 seconds before Tom, so it will take her "t + 12" seconds longer to complete the same distance.
To determine the distance traveled by Sandy, multiply her speed (7 meters per second) by her time (t + 12) seconds. Tom's distance traveled may be determined by dividing his speed (9 meters per second) by his time (t) seconds.
Equating the distances covered by Sandy and Tom:
7(t + 12) = 9t
Expanding the equation:
7t + 84 = 9t
Subtracting 7t from both sides:
84 = 2t
Dividing both sides by 2:
t = 42
Tom traveled the distance in 42 seconds as a result. We add the 12-second lead Sandy had to determine the time it took for both Sandy and Tom to travel the same distance:
t + 12 = 42 + 12 = 54
So, it took both Sandy and Tom 54 seconds to cover the same distance.
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a newsletter publisher believes that more than 39% of their readers own a laptop. is there sufficient evidence at the 0.05 level to substantiate the publisher's claim? state the null and alternative hypotheses for the above scenario.
Answers
The null and alternative hypotheses for the given scenario is :
h₀ = 0.39
ha > 0.39
Given, a newsletter r publisher believes that more than 39% of their readers own a laptop.
let the proportion of readers owning a laptop be denoted by p.
We want to test the claim that more than 39% of the readers own a laptop.
Hence, we frame:
Null hypothesis is H₀: p = 0.39
Alternative hypothesis is H₁: p > 0.39
Hence there is no sufficient evidence at the 0.05 level.
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