when time in hours (t) increases, how does distance in km (d) change?
Answers
Question seems incomplete but will be explained with assumptions
Answer and explanation:
If for example, a car travels 30 km per hour, then it would travel 60km in 2 hours and 90km in 3 hours and so on
We can apply the formula for distance as such:
Distance(d)= Speed(s) × time(t)
d=st
Where d is distance travelled say 60km
S is speed= 30km/hr
Time = 2 hrs
Also to calculate speed when distance and time is given, we can make speed the subject of the formula:
s=d/t
To calculate time when distance and speed are given, we can make time the subject of the formula:
t=d/s
Related Questions
4. The best way to cash a paycheck is to use a check cashing service.
O True
False
Answers
Answer:
False
Generally speaking it is better to cash a check at the bank you use where the money will be deposited. Doing this is the best ways to avoid transaction fees, handling fees, or any other extra fees
Zack is on his school's color guard and is practicing throwing and catching his flag. He throws the flag into the air from a height of 5 feet at a velocity of 30 feet per second. After the flag starts to come back down, he catches it 7 feet above the ground.
To the nearest tenth of a second, how long is the flag in the air before Zack catches it?
Hint: Use the formula h=16t2+vt+s.
Answers
The Nearest tenth of a second, the flag is in the air for approximately 0.1 seconds before Zack catches it.
To determine the time the flag is in the air before Zack catches it, we can use the kinematic equation for vertical motion:
h = 16t^2 + vt + s
Where:
h is the height of the flag,
t is the time in seconds,
v is the initial vertical velocity of the flag,
s is the initial height of the flag.
In this case, the flag is thrown into the air from a height of 5 feet (s = 5) with an initial vertical velocity of 30 feet per second (v = 30). Zack catches it at a height of 7 feet (h = 7).
We can rewrite the equation as:
7 = 16t^2 + 30t + 5
To find the time (t) when the flag is at a height of 7 feet, we can rearrange the equation and solve for t. However, since this is a quadratic equation, we can also use the quadratic formula.
The quadratic equation in this case is:
16t^2 + 30t + 5 - 7 = 0
16t^2 + 30t - 2 = 0
Now, we can use the quadratic formula:
t = (-b ± √(b^2 - 4ac)) / (2a)
Applying the values from the quadratic equation, we have:
t = (-30 ± √(30^2 - 4 * 16 * (-2))) / (2 * 16)
Simplifying further:
t = (-30 ± √(900 + 128)) / 32
t = (-30 ± √1028) / 32
Using a calculator, we find two solutions:
t ≈ -1.08 seconds or t ≈ 0.06 seconds
Since time cannot be negative in this context, we discard the negative solution.
Therefore, to the nearest tenth of a second, the flag is in the air for approximately 0.1 seconds before Zack catches it.
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Plz help I need help
Answers
Step-by-step explanation:
so,
61/4 can also be written as 25/4 so,
now divide 25/4 by 5 so,
\( \frac{ \frac{25}{4} }{5} = \frac{25}{4 \times 5} = \frac{5}{4} \)
and also,
5/4 can be written as,
\(1 \frac{1}{4} \)
so,
option A is correct.
hope this answer helps you dear! may u have great day ahead...!
100 points ????????????????????????????????
Answers
Answer:
A
Step-by-step explanation:
It makes the most seince
I have to agree with the guy that answered, it's a.
PLEASE HELP with these questions
Answers
Answer: 43
Step-by-step explanation: i had a test on it last year.
Use a calculator to graph f(x) = 2x ^ 3 - 6x ^ 2 - 4x + 1 Which are the approximate x-values of the local maximum and local minimum rounded to the nearest tenth?
A) max ≈ -15.6 , min ≈ 1.6
B) max ≈ 1.6 , min ≈ -15.6
C) max ≈ 2.3 , min ≈ -0.3
D) max ≈ -0.3 , min ≈ 2.3
Answers
The approximate x-values for the local maximum and the local minimum are given as follows:
D) max ≈ -0.3 , min ≈ 2.3.
What are the relative minimums and the relative maximums of a function?The relative minimums of a function are given by the points in which the function's behavior changes from decreasing to increasing.The relative maximums of a function, meanwhile, are given by the points in which the function's behavior changes from increasing to decreasing.Hence the critical points of the graphed function are given as follows:
Maximum: x = -0.3.Minimum: x = 2.3.More can be learned about relative minimums of a function at https://brainly.com/question/9839310
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Inequalities - Introduction
Answers
Answer:
n = 19
Step-by-step explanation:
2n > 36 ( divide both sides by 2 )
n > 18
and
5n < 100 ( divide both sides by 5 )
n < 20
so n > 18 and n < 20
thus n = 19
Mason opened a new electronic store, and his daily sales are modeled by f(x) = 50(1.2)x. Determine the rate of growth. 50% 20% 12% 120%
Answers
Answer:
The correct answer is B. 20%
Step-by-step explanation:
Have a great day <3
Answer: B 20%
Step-by-step explanation: CUZ YO IT IS FOO
A survey found that the American family generates an average of 17.2 pounds of glass garbage each year. Assume the standard deviation of the distribution is 2.5 pounds. Find the probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds. Assume that the sample is taken from a large population and the correction factor can be ignored. Round your final
answer to four decimal places and intermediate z-value calculations to two decimal places
Answers
The probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds is given as follows:
0.5874 = 58.74%.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).The parameters for this problem are given as follows:
\(\mu = 17.2, \sigma = 2.5, n = 40, s = \frac{2.5}{\sqrt{40}} = 0.3953\)
The probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds is the p-value of Z when X = 18.1 subtracted by the p-value of Z when X = 17.1, hence:
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem:
\(Z = \frac{X - \mu}{s}\)
Z = (18.1 - 17.2)/0.3953
Z = 2.28
Z = 2.28 has a p-value of 0.9887.
Z = (17.1 - 17.2)/0.3953
Z = -0.25
Z = -0.25 has a p-value of 0.4013.
Hence:
0.9887 - 0.4013 = 0.5874 = 58.74%.
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I need all of these please
Answers
Answer:
Step-by-step explanation:
this is the solve for the first q. only sorry
the force (F) needed to cause the acceleration (a) of an object of mass, m, is given by the equation, F = ma where m is the objects mass. if a 12-newton force causes the object to accelerate to 3 m/s2 , what is the object's mass? the unit for this mass is kg.
help me pls /ᐠ｡ꞈ｡ᐟ\
Answers
Answer: According to Newton s Second Law of Motion, also known as the Law of Force and Acceleration, a force upon an object causes it to accelerate according to the formula net force = mass x acceleration. So the acceleration of the object is directly proportional to the force and inversely proportional to the mass.
Step-by-step explanation:
If F = ma where m is the objects mass. if a 12-newton force causes the object to accelerate to 3 m/s2 , then the mass in kg of the objects is 4 kg
What is Force?When a body tends to modify or change the state by an external cause, it is called Force.
Given:
F=ma
Where,
F = Force (N)
m = mass (kg)
a = acceleration (m/s²)
If
F = 12-Newton
m = 3 m/s²
a = ?
F = ma
12 = m × 3
12 = 3m
divide both sides by 3
m = 12/3
m = 4 kg
Therefore, the mass in kg of the objects is 4 kg
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20
To earn a prize, Sally had to sell at least 11 out of the 20 candy bars for the band fundraiser. What percentage of the candy bars did she need to sell?
O 5
O 9
O 55
O 65
Answers
Answer:
55
Step-by-step explanation:
If you multiply by 5 to get it over 100, or the percent, you get 55/100 which can just be written as 0.55 or 55%.
PLEASE HELP ME THIS IS STATISTICS MATH. IMAGE ABOVE!! ILL GIVE YOU BRAINLIST ANSWER
Answers
Answer:
Step-by-step explanation:
Use the figure to complete the transformations.
1. Reflect the triangle across the y-axis.
2. Reflect the image across the x-axis.
The final image is the same as what single transformation?
a translation 2 units to the left and 2 units down
a reflection across the y-axis
a 180° rotation about the origin
a clockwise rotation 90° about the origin
Part F
Complete the table to find the rule for the reflection, the coordinates of triangle ABC, and the coordinates of the reflected Image, triangle A'B'C'.
Original Coordinates New Coordinates
(.)
AT.)
B(,)
((.)
(x,y)
A(.)
B(.)
((.)
Answers
Answer:
A
Step-by-step explanation:
Anyone know the answers for Domain and rqnge digital escape puzzle 3?
Answers
The domain and the range of a function/graph/relation are defined as follows:
Domain: set of input values.Range: set of output values.What are the domain and range of a function?The domain of a function is the set that contains all possible input values of the function/relation, hence it is composed by the values of x.The range of a function is the set that contains all possible output values of the function/relation, hence it is composed by the values of y.Missing InformationThe problem is incomplete, hence the concepts of domain and range are presented, and then they are used to obtain the domain and the range.
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Which expression is equivalent to (1−sinβ)(1+sinβ)/cos2β for all values of β for which (1−sinβ)(1+sinβ)/cos2β is defined?
Select the correct answer below:
tan2β
tanβ+secβ
tanβ
sec2β
1
Answers
Work Shown:
\(\frac{(1-\sin(\beta))(1+\sin(\beta))}{\cos^2(\beta)}\\\\\frac{1-\sin^2(\beta)}{\cos^2(\beta)}\\\\\frac{\cos^2(\beta)}{\cos^2(\beta)}\\\\1\\\\\)
Therefore, \(\frac{(1-\sin(\beta))(1+\sin(\beta))}{\cos^2(\beta)}=1\\\\\) is an identity for all values of β for which the original expression is defined. I used the difference of squares rule for the 2nd step. Then I applied the pythagorean trig identity for the 3rd step.
write a multiplication equation that represents this model
Answers
The multiplication equation represented by the diagram is:
3*2 = 6
Which is the multiplication represented by the model?On the model we can see a diagram, in that diagram there are:
2 red rectangles.
3 purple rectangles
6 blue rectangles.
We can assume that we are taking the product between the red ones and the purple ones, then we can write:
3*2 = 6
That is a true equation, so that is the multiplication equation represented by the model.
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10. Leo runs the 100-meter dash in 19.305
seconds. Explain and show how you can
write an expression in expanded form
for the decimal that shows more than 0
hundredths.
Answers
The expanded form of the expression is 10 + 9 + 0.3 + 0.00 + 0.005
How to write in expanded form ?He runs the 100 meters dash in 19.305 seconds.
Therefore, the seconds he runs the race can be represented in expanded form as follows:
Expanded form is a way to write a number by adding the value of its digits.
We can use a place value chart to think of the value of a number's digits.
Therefore,
19.305 in expanded form is as follows:
19.305 = 10 + 9 + 0.3 + 0.00 + 0.005
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27,813 students took the ACET this year. If only 2,836 students were admitted into the Ateneo among those students, what is the Ateneo’s acceptance rate? a. 7.5% b. 10.2% c. 13.4% d. 9.0%
Answers
If only 2,836 students were admitted into the Ateneo among 27,813 students, who took the ACET this year, the Ateneo’s acceptance rate is b. 10.2%.
How the rate is determined:The rate is the ratio of one value, expression, measurement, or quantity compared to another.
The rate represents the quotient of the numerator and the denominator.
The rate is expressed as a percentage by multiplication with 100.
The number of students who took the ACET this year = 27,813
The number of students who were admitted into the Ateneo = 2,836
The percentage or rate admitted = 10.19667% (2,836 ÷ 27,813 × 100)
= 10.2%
Thus, we can conclude that the acceptance rate or percentage is Option B.
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Determine the number of zeros of the polynomial function.
f(x) = x3 + 3x2 + 2
Answers
Answer:
3
Step-by-step explanation:
the fundamental theorem of Algebra states that a polynomial of degree n has n zeros, some of which may be complex.
f(x) = x³ + 3x² + 2 ← is a polynomial of degree 3
Then number of zeros is 3
find the exact value of each of the remaining trigonometric functions of 0. rationalize denominators when applicable.
sin 0 = v3/6 given that cos 0 = 0
Answers
Given that cos (0) = 0, we can use the Pythagorean identity sin^2(x) + cos^2(x) = 1 to find the value of sin (0).
sin^2(0) + cos^2(0) = 1
sin^2(0) = 1 - cos^2(0)
sin^2(0) = 1 - 0^2
sin^2(0) = 1
So, sin (0) = sqrt(sin^2(0)) = sqrt (1) = 1.
However, the given value is sin (0) = v3/6. This means that sin (0) = sqrt (3)/2, which is the value of sin (60). Therefore, the correct value of sin (0) is sqrt (3)/2, not 1.
trigonometry, the branch of mathematics deal with specific functions of angles and their application to calculations. There is total six functions of an angle commonly used in trigonometry.
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is - 5/1 a integer?
Answers
A recipe has a ratio of 1 cups of cheese to 6 ounces of pasta. Based on this recipe, which statement is true?
Answers
Answer:
Whats our options?
Step-by-step explanation:
Answer:
you have to show the statements.
Step-by-step explanation:
Evaluate the logarithmic expression without using a calculator. Answer exactly. log 2 ( 1/16 ) + 4 =
Answers
\(\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ \stackrel{ \textit{we'll use this one} }{log_a a^x = x}\qquad \qquad a^{log_a (x)}=x \end{array} \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)+4\implies \log_2\left( \cfrac{1}{2^4} \right)+4\implies \log_2(2^{-4})+4\implies -4+4\implies \text{\LARGE 0}\)
\(\rule{34em}{0.25pt}\\\\ \textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b\qquad\qquad \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)=y\implies 2^y=\cfrac{1}{16}\implies 2^y=2^{-4}\implies y=-4\)
Find the common difference of the sequence 4, 12, 20, ....
Answers
8
In this pattern, we have 4 12 then 20.
We can see that the difference 4 and 12 is 8.
Since the difference between 12 and 20 is also 8, the common difference of the sequence is 8.
Round 5 2/3 to the nearest whole number then subtract
Answers
this rounds to 6
1 1/4=5/4=1.25
this rounds to 1
6-1=5
Represent the following sentence as an algebraic expression, where "a number" is the letter x. The difference of 4 and a number
Answers
The algebraic expression "difference of 4 and a number" where the number is letter x is represented as 4 - x.
What is an algebraic expressionAlgebra is an elementary branch of mathematics that deals with the numbers and the basic mathematics operations of addition, subtraction, division and multiplication. Algebraic expression involves arithmetic where the use of unknown quantities along with numbers.
From the question, we have the mathematical statement "difference of 4 and a number" and the number is "a number" is represented with the letter x.
the word difference in mathematics implies Subtraction (-)
Therefore, the mathematical statement "difference of 4 and a number" is represented as 4 - x.
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Please look at photo. Thank you!
Polynomial and rational functions:
A) Find all x and y intercepts. Check all that apply:
X intercepts: 4, 0, 1, and/or none.
Y intercepts: 1, 4, 0 and/or none.
B) write the equations for all vertical and horizontal asymptotes. Enter the equations by writing “and” or “none” when necessary.
C) find the domain and range of f. Write each answer as an interval or union of intervals.
Answers
A) All x- and y-intercepts include the following:
x-intercepts: none.
y-intercept: 1.
B) The equation for vertical asymptote is x = 4 and the equation for horizontal asymptote is y = 0.
C) The domain and range of f are:
Domain = [-∞, 4) U [4, ∞]
Range = [0, ∞]
What is the x-intercept?In Mathematics, the x-intercept is the point at which the graph of a function crosses or touches the x-coordinate and the y-value or value of "y" is equal to zero (0).
Part A.
Based on the graph of this rational function, the x-intercept and y-intercept include the following:
x-intercept: none.
y-intercept: 1.
Part B.
An equation that represents the vertical asymptote is x = 4 while the equation represents the horizontal asymptote is y = 0 because the line does not cross those points.
Part C.
By critically observing the graph of this rational function, we can logically deduce the following domain and range:
Domain = [-∞, 4) U [4, ∞] or {x|x ≠ 4}.
Range = [0, ∞] or {y|y ≥ 0}.
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Alisha has 3 pizzas she is serving each person at party 1/4 of a pizza how many people can she serve at the party
Answers
Answer:
12
Step-by-step explanation:
She's able to serve 4 people per pizza and if she has 3 pizzas then its 4 times 3 and that's 12
Pls help me I am d$mb...
Answers
Answer:
ur not domb
Step-by-step explanation: