1. Louis ran a race in 2.4 minutes. Laura ran the same race in 124 seconds. What is the difference between the two times?
Answers
Louis: 2.4 minutes is 2 minutes and 24 seconds (0.4 minute is 24 seconds)
So, the difference between the times is 20 seconds. Laura was 20 seconds faster.
Answer:
20 sec
Step-by-step explanation:
2.4 in = 144 sec
124
144 - 124 = 20
Related Questions
zahra has 4/5 kilograms of butter to bake cookies each batch of cookies requires 6/10 of butter how many cookies will she make?
Answers
The number of cookies Zahra made with 4/5 kilograms of butter is 1333.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Zahra has 4/5 kilograms of butter to bake cookies.
Each batch of cookies requires 6/10 grams of butter
4/5 kilograms = 800 grams and 6/10 grams =0.6 grams
Number of cookies = Number of kilograms of butter ÷ Butter requires in each cookie
= 800 ÷ 0.6
= 800/0.6
= 1333
Therefore, the number of cookies are 1333.
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You study for a test and you believe you'll get an A on the test. This is an example of: A) conclusion B) prediction C) inference D) hypothesis
Answers
Answer:
B
Step-by-step explanation:
if 0= 2pi/3, then the value of cos 0= -1/2.Part A: What is another angle, 0, that has the same value of cos 2pi/3, if 0<0<2pi?Part B: Name two angles that have the opposite value of cos 2pi/3, if 0<0<2pi.
Answers
The other angle with the same value of 2pi/3 for the cosine function is given by:
\(\frac{2\pi{}}{3}+\frac{\pi{}}{2}=\frac{7\pi{}}{6}\)Because the cosine and sine function repeat the absolute value every pi/2, to localize the sign you can think about the trigonometric circle.
As I stated before the cosine and sine function repeat the absolute value every pi/2, to localize the sign you can think about the trigonometric circle. The values between pi/2 and 3pi/2 are negative and the others are positive.
B part)
To find the two values with the opposite value we need to take pi/2 from our angle, and add pi to find the two values.
\(\frac{2\pi}{3}+\pi=\frac{5\pi}{3}\)and
\(\frac{2\pi}{3}-\frac{\pi}{2}=\frac{\pi}{6}\)With this we have all the angles.
gail is a student in a class that has been asked to conduct a hypothesis test for a population proportion. the null and alternative hypotheses are: h0: p
Answers
Gail's friends does not reject the null hypothesis.
What is null and alternate hypothesis?
Statisticians test hypotheses using null and alternate hypotheses. The alternative hypothesis of a test states your research's prediction of an effect or relationship, whereas the null hypothesis of a test consistently predicts no effect or no relationship between variables.
Given:
H0: p = 0.4
Ha: p ≠ 0.4
Gail uses a level of significance of α = 0.05, she does not reject the null hypothesis.
Therefore the p-value she obtained is greater than 0.05
Andrew uses a level of significance of α = 0.1
Since from given information we can not say if p value is > 0.1 or less, hence
it is impossible to tell from the information given.
Ben uses α = 0.01
Since p-value is greater than 0.05 hence definitely greater than 0.01
Hence, Gail's friends does not reject the null hypothesis.
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Complete question:
Gail is a student in a class that has been asked to conduct a hypothesis test for a population proportion. The null and alternative hypotheses are: H0: p = 0.4 Ha: p ≠ 0.4 Gail is given a sample and calculates the test statistic. Using a level of significance of α = 0.05, she does not reject the null hypothesis. Gail's friends, Andrew and Ben, also use the sample to calculate a test statistic. However, they differ in the level of significance they use. Andrew uses a level of significance of α = 0.1, while Ben uses α = 0.01. All three students perform their calculations correctly. For each of Gail's friends, select whether or not they reject the null hypothesis, or whether it is impossible to tell from the information given.
An elevator in a tall building goes up 7 floors then down 9 floors down 4 floors up 8 floors and down 2 floors now it it in floor 14 on what floor did the elevator start
Answers
Answer: I'm pretty sure its 14.
Step-by-step explanation: 14 + 7 - 9 - 4 + 8 - 2 = 14
Use your exponent rules to express as a single power, 9^4 ÷ 27^2
Make sure to do it step by step
Answers
Answer:
9
Step-by-step explanation:
9^4=3^8
27^2=3^6
when we divide the powers of the same base ,we take the common base and subtract their exponent.
3^8-^6
=3^2
=9
Given that x is a positive integer less than 100, how many solutions does the congruence x+13=55 (mod 34) have?
Answers
The congruence x + 13 ≡ 55 (mod 34) simplifies to x ≡ 12 (mod 34). There are three solutions for x less than 100 that satisfy this congruence.
The given congruence is x + 13 ≡ 55 (mod 34). Simplifying this, we get x ≡ 12 (mod 34).
We need to find the number of solutions for x that are less than 100 and satisfy this congruence.
The general solution for the congruence x ≡ 12 (mod 34) is x = 12 + 34k, where k is an integer.
The solutions that are less than 100 are obtained when k = 0, 1, or 2.
Thus, the number of solutions is 3.
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Using the present value approach, solve the following:
Tom has $100 in a bank account that pays a guaranteed 5% interest rate each year. How much would Tom have at the end of Year 3?
Answers
Answer:
Step-by-step explanation:
$100x0.5x1=$5
Please help with this math question!
Answers
Answer:
5. Proofs attached to answer
Step-by-step explanation:
Proofs attached to answer
Jackie starts walking at the beginning of a trail that is 1.6 miles long and walks to the end.
Then she turns around and walks back. She stops for a break every 0.5 mile.
Which of the following explains how she can figure out the total number of breaks she
takes during her walk?
A. -Divide 0.5 by 1.6.
B. -Divide 1.6 by 0.5.
C. -Multiply 1.6 by 2 and then divide the product by 0.5.
D. -Multiply 1.6 by 2 and then multiply the product by 0.5.
Answers
Answer:
C
Step-by-step explanation:
Multiply first to find how far she walked
Divide to find how many 0.5 are in the distance
I need help with his Math question.
Answers
Answer:
Part A-4.6 miles.
Part B-2.1
Step-by-step explanation:
1.7^2 + 4.3^2 = c
c=4.6
Part A) The length of a straight line between the school and the Fire Station is 4.6
Part B) The length of a straight line between the school and the hospital is 2.1
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A chemist needs 130 mL of a 59% solution but has only 44% and 83% solution available. Find how many milliliters of each that should be mixed to get the desired solution.
Answers
The millimetres of each solution needed are 80 millimetres and 50 millimetres, respectively
How to determine the millimetres of each?From the question, we have the following parameters that can be used in our computation:
Volume needed = 130mL
Proportion = 59%
Available proportions = 44% and 83%
Represent the type of solutions with x and y
So, we have the following system of equations:
x + y = 130
0.44x + 0.83y = 59% * 130
So, we have
x + y = 130
0.44x + 0.83y = 76.7
Make x the subject in x + y = 130
x = 130 - y
Substitute x = 130 - y in 0.44x + 0.83y = 76.7
0.44(130 - y) + 0.83y = 76.7
So, we have
57.2 - 0.44y + 0.83y = 76.7
Evaluate the like terms
0.39y = 19.5
Divide both sides by 0.39
y = 50
Substitute y = 50 in x = 130 - y
x = 130 - 50
Evaluate
x = 80
Hence. the amount of each is 80 and 50 millimetres
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10 points!
Please explain how you reached your answer!!
(Question 3)
Answers
Answer: c
Step-by-step explanation: I’m smart
Roni and Allie are mowing the grass at the soccer field. Roni has a riding lawn mower and can mow the field in 30 minutes. Allie is pushing a lawn mower and can mow the field in 75 minutes.
If Roni and Allie work together to mow the field, what part of the field would Roni mow?
about 0.52 of the field
about 0.64 of the field
about 0.71 of the field
about 0.87 of the field
Answers
Answer:
about 0.52 of the field
30=30 -75=80 = 50 near 52
Step-by-step explanation:
about 0.52 of the field
about 0.64 of the field
about 0.71 of the field
about 0.87 of the field
The question is in the picture attached to this. Here are the answer choices somebody help quick please
a. (x,y)➡️(-x,-y)
b. (x,y)➡️(-x,y)
c. (x,y)➡️(x,-y)
d. (x,y)➡️(y,x)
Answers
Answer:
c
Step-by-step explanation:
Since the image was created by reflecting across the x-axis,
that means that the original triangle was in the fourth quadrant
the image however is in the first quadrant
the coordinates of something in the fourth quadrant is (x, -y)
the coordinates of something in the first quadrant is (x, y)
so the answer is "c" since (x, -(y)) = (x, -y)
|4t+n| if t = -2 and n = 5 for algebra 1
Answers
Answer:
It would be 13.
Boris started on the treadmill after setting timer for 99 minutes. The display says he have finished 43% of his run. How many minutes have gone by. Round to the nearest tenth
Answers
99 minutes * 0.43 = 42.57 minutes
Rounding to the nearest tenth, we can say that approximately 42.6 minutes have gone by.
You deposit $500 in an investment account. The rate of growth is 6% a year. If you make no further deposits or withdrawals, and the investment is allowed to grow uninhibited, how long will it take for your investment to reach $1,500? Round to the nearest tenth.
Answers
It will take 18.9 years for your investment to reach $1,500
How to determine how long for 90 grams to remain?From the question, we have the following parameters that can be used in our computation:
Initial deposit = 500 dollars
Rate of growth = 6% per year
The above implies that the growth follows an exponential path
An exponential function that represents a growth function is represented as
A(n) = a * (1 + r)ⁿ
Where
A(n) = value of investment after nth year
a = Initial deposit = 500
r = rate of growth = 6%
Substitute the known values in the above equation, so, we have the following representation
A(n) = 500 * (1 + 6%)ⁿ
Evaluate the sum
A(n) = 500 * 1.06ⁿ
When the investment is 1500 grams, we have
500 * 1.06ⁿ = 1500
Divide both sides by 500
1.06ⁿ = 3
So, we have
n = log(3)/log(1.06)
Evaluate
n = 18.9
Hence, the number of years is 18.9
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Answer:
The answer is actually 18.3 Years
Step-by-step explanation:
I got it correct on the test :D
A comet following a hyperbolic path about the Sun has a perihelion of 120 Gm. When the line from the comet to the Sun is perpendicular to the focal axis of the orbit, the comet is 281.25 Gm from the Sun. Calculate a, b, c, and e. What are the coordinates of the center of the Sun if the center of the hyperbolic orbit is (0, 0) and the Sun lies on the positive x-axis?
Answers
a = 281.25 Gm / (1 - (-0.57)²) = 667.3 Gm
b = √(667.3 Gm² * (-0.57)²) = 420.3 Gm
c = √(667.3 Gm² - 420.3 Gm²) = 558.0 Gm
What is the hyperbola?
Hyperbola is the locus of all those points in a plane such that the difference in their distances from two fixed points in the plane is a constant.
To calculate the parameters a, b, c, and e for a hyperbolic orbit, we need to know the perihelion distance (p), semi-latus rectum (l), and eccentricity (e) of the orbit.
Perihelion distance (p): The perihelion distance is given as 120 Gm.Semi-latus rectum (l): The semi-latus rectum can be calculated from the perihelion distance and the distance from the Sun when the line from the comet to the Sun is perpendicular to the focal axis of the orbit:l = p / (1 + e)
where e is the eccentricity of the orbit. We can solve for e using the given distances:
e = (p - l) / l = (120 Gm - 281.25 Gm) / 281.25 Gm = -0.57
Eccentricity (e): The eccentricity of the orbit is equal to e.Parameters a, b, and c: The parameters a, b, and c can be calculated from the semi-latus rectum and the eccentricity:a = l / (1 - e²)
b = √(a^2 * e²)
c = √(a^2 - b²)
a = 281.25 Gm / (1 - (-0.57)²) = 667.3 Gm
b = √(667.3 Gm² * (-0.57)²) = 420.3 Gm
c = √(667.3 Gm² - 420.3 Gm²) = 558.0 Gm
Coordinates of the center of the Sun: The center of the hyperbolic orbit is (0, 0), and the Sun lies on the positive x-axis. Thus, the coordinates of the center of the Sun are (558.0 Gm, 0).To learn more about hyperbola, Visit
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. Suppose a government agency has a monopoly in the provision of internet connections.
The marginal cost of providing internet connections is 1
2
, whereas the inverse demand
function is given by: p = 1
Answers
The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.
In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.
The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.
To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.
Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.
As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.
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Square root of 85 correct to the nearest tenth
Answers
Answer: 9.2
Explanation: The value of the square root of 85 lies between the whole numbers 9 and 10.
Illustrate with a diagram a consumer in equilibrium with indifference curves and a budget constraint. Measure units of X on the horizontal axis and units of Y on the vertical axis. Provide intuitive and mathematical explanations for what must be true in equilibrium.
Answers
What is the slope of the budget line if the slope of the budget line equals the slope of the indifference curve when consumer equilibrium is taken into account on an indifference curve/budget line diagram
A client selects a group of items where an indifference curve is perpendicular to the price range line in order to optimize utility. The fee ratio of the two things is the same as the client's marginal charge of substitution (absolutely the cost of the slope of the indifference curve) at the utility-maximizing solution. The marginal charge of substitution is the indifference curve's slope (MRS). The MRS is the price at which a client will often trade one fact for another.
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Describe a sequence of transformations that maps ABC onto DEB. Complete the sentences. Rotate ABC ° clockwise about the origin. Then translate unit(s) up and unit(s) right
Answers
Answer:
Step-by-step explanation:
How to use copies of a rectangle to show how a rectangle could tile a plane
Answers
Answer:
Place the copies of rectangle over the plane without any gaps.
Step-by-step explanation:
Tiling is a technique to cover two dimensional region with copies of same shapes. There should be no gap in the area or region. Tiling helps to fill out the area completely. The copies of rectangle are placed on the area that is to be tiled to cover the area.
Tessa is training for a marathon she runs 13 km a day for 3 days
Answers
nice
i think there's supposed to be more to the problem lol
???
No question but I gonna answer anyway.
The total number of km she ran in 3 days = 13 x 3=39.
When converted to a household measurement, 9 kilograms is approximately equal to a) 9000 grams. b) 9000 ounces. 19.8 ounces. d) 19.8 pounds.
Answers
Answer:
d) 19.8 lb
Step-by-step explanation:
1 lb = 0.454 kg
9 kg * (1 lb)/(0.454 kg) = 19.8 lb
Josephine can correct her students' test papers in 9 hours, but if her teacher's assistant helps, it would take them 7 hours. How long, in hours and minutes, would it take the assistant to do it alone? (Write your answer in mixed units. Enter a zero in any unneeded blanks.)
Answers
Using the together rate, it is found that it would take the assistant 31 hours and 30 minutes to do it alone.
What is the together rate?It is the sum of each separate rate.
In this problem, the rates are given as follows:
Josephine: 1/9.Assistant: 1/x.Together: 1/7.Hence:
\(\frac{1}{9} + \frac{1}{x} = \frac{1}{7}\)
\(\frac{x + 9}{9x} = \frac{1}{7}\)
\(9x = 7x + 63\)
2x = 63
x = 31.5.
It would take the assistant 31 hours and 30 minutes to do it alone.
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Four different exponential functions are represented below.
Drag the representation of each function into order from greatest y-intercept to least y-
intercept.
Answers
The graph of the function y = 2x⁴ - 5x³ + x² - 2x + 4 is plotted and attached.
How to solve
We have the 4 functions as shown in the image attached.
The y - intercept is the point where the graph intercepts the y - axis.
Function [1] -
y = 4 + 2x
y - intercept is 4
Function [2] -
y = 5ˣ + 1
y - intercept is 2.
Function [3] -
the y-intercept is 1.
Function [4] -
the y - intercept is at -1.
Therefore, the greatest y-intercept is of function -
f(x) = 2x + 4
and the least y-intercept is of the function shown in graph [4] or function [4].
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Answer:
Carlos puts $3 into his bank account and it grows by 50% each year
f(x)=4^x+1
(The Table)
(The Graph)
Please help!!! Will give brainliest!!! The answer options are
A. When they each make 10 calls
B. When they each make 8 calls
C.when they each make 6 calls
D.When they each make 2 calls
Answers
Answer:
A
Step-by-step explanation:
It is A, when they each make 10 calls.
This is because on the graph, you can see that they meet up (after the y-intercepts) at the x-axis of 10.
Hope this helped!
W
Solve (7h + 1| = (3h - 7| for h.
Answers
The required solution to the given equation (7h + 1) = (3h - 7) is h = -2.
What is the solution to the equation?A solution to an equation is a number that can be replaced for the variable to equip a true number statement.
The equation is given in the question, as follows:
7h + 1 = 3h - 7
We need to isolate the variable h on one side of the equation by performing inverse operations. First, we can simplify the equation by combining like terms on both sides:
7h - 3h = -7 - 1
4h = -8
Next, we can solve for h by dividing both sides by 4:
h = -2
Therefore, the solution to the given equation is h = -2.
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The complete question would be as:
Find the solution to the below equation.
(7h + 1) = (3h - 7)