Answer:
The piecewise function for the taxi fare is:
[tex]F(t) = 2.60\cdot \left(\frac {m}{0.25}\right) ,\, 0\,mi\le m \le 0.25\,mi[/tex]
[tex]F(t) = 2.60 + 0.36\cdot \left(\frac{m}{0.2} \right)[/tex], [tex]m > 0.25\,mi[/tex]
Step-by-step explanation:
We must use the following piecewise function:
(i) The Topology Taxi Company charges 2.60 for the first quarter of a mile:
[tex]F(t) = 2.60\cdot \left(\frac {m}{0.25}\right) ,\, 0\,mi\le m \le 0.25\,mi[/tex] (1)
Where:
[tex]F(t)[/tex] - Taxi fare, in monetary units.
[tex]m[/tex] - Number of miles driven, in miles.
(ii) And 0.36 for each additional fifth of a mile:
[tex]F(t) = 2.60 + 0.36\cdot \left(\frac{m}{0.2} \right)[/tex], [tex]m > 0.25\,mi[/tex] (2)
Dalton built a linear model to show the height of a meteor falling to the Earth. The meteor starts at 100 km above the Earth's surface and falls at a rate of 20km per second. The x values represent the time in seconds and the y values represent the height of the meteor. What does the domain represent in context of the model?
Answer:
The domain represents the time of motion of the meteor as it falls from 100 km height above the Earth's surface at a speed of 20 km
Step-by-step explanation:
The given parameters from the question are;
The elevation of the meteor above the Earth's surface = 100 km
The rate at which the meteor falls = 20 km per second
The 'x' values represent the time in seconds and the 'y' values represent the meteor's height
Therefore, we have;
y = 100 - 20·x
The domain of a function is the set of inputs to the function
Therefore, the domain represent the time it takes the meteor to reach the given 100 km height above the Earth's surface
At the start x = 0 seconds
On the Earth's surface, y = 0, therefore;
0 = 100 - 20·x
x = 100/20 = 5
When the meteor just touches the Earth's surface x = 5 seconds
Therefore, the domain is 0 ≤ x ≤ 5.
1. In which number does the 6 have a value that is one-tenth the value of the 6 in 34,7612
A. 16,305
B. 28,695
C. 51,364
D. 78,426
which expression is equivalent to the expression shown?
Answer:
the answer is 7^12
Step-by-step explanation:
7^14 ÷ 7^2
14 - 2
12
HELP ME PLEASE
Find the Volume of each cylinder. Round to the nearest tenth
471.2
The 10 is the diameter and you need the radius to do it so you do diameter dived by 2 which gives you the radius then you the radius to the power of 2
so the formula would be (3.14)(5)²(6)
A rectangle has an area of 24 cm2. Function f gives the length of the rectangle, in centimeters, when the width is w cm.
Determine if each value, in centimeters, is a possible input of the function.
3
Answer:
Input is the value of w and the function f = 24/w as length x breadth = area of rectangle
Heart if this helped
In AHIJ, HJ is extended through point J to point K, mZIJK = (7x – 15)°,
mZJHI
(3x + 18), and mZHIJ (x + 6)". Find mZJHI.
Answer:
3x + 18), and mZHIJ (x + 6)". Find mZJHI.
Step-by-step explanation:
it is 86[9=10+3]
I need help proving the y-intercept is 5 but I can't figure it out and will give brainliest if you can show the steps how you got the answer!!!!!!!the coordines are (9,5)
And can you help with what I did wrong here
find the value of sec ø if cos ø=2/19;0°<ø<90°
Answer:
[tex] \sec( \alpha ) = \frac{1}{ \cos( \alpha ) } \\ \sec( \alpha ) = \frac{19}{2} [/tex]
Which of the following is TRUE about sampling distributions?
Larger sample gives worse data. More samples give worse data.
Larger sample gives better data. More samples give worse data.
Smaller sample gives worse data. More samples give better data.
Smaller sample gives better data. More samples give better data.
Answer:
Smaller sample gives worse data. More samples give better data.
Step-by-step explanation:
A sample is the number of elements that are used in a given experiment.
For example, if you do a survey to 100 random people, then your sample is 100 people.
Here we can see something kinda obvious, if you increase your sample, then more people answer your survey, wich means that more samples give more data, and more data is better, then more sample gives better data.
We also can see that if we have a small sample (for example 10 people) the survey will not be really useful, this happens because if we have really small samples the sample may be biased, and we always want to aboid this.
Then:
Smaller samples give worse data, and as we increase the samples, we also get better data.
The correct option is:
"Smaller sample gives worse data. More samples give better data."
what is the input of arccos
Answer:
It returns the angle whose cosine is a given number.
Step-by-step explanation:
For every trigonometry function, there is an inverse function that works in reverse. These inverse functions have the same name but with 'arc' in front. (On some calculators the arccos button may be labeled arccos, or sometimes cos-1.) So the inverse of cos is arccos etc. When we see "arccos x", we understand it as "the angle whose cosine is x"
cos30 = 0.866 Means: The cosine of 30 degrees is 0.866
arccos 0.866 = 30 Means: The angle whose cosine is 0.866 is 30 degrees.
Use arccos when you know the cosine of an angle and want to know the actual angle.
Please help! will make brainliest
Classify VP in V
A. Chord
B. Radius
C. Secant
D. Tangent
A salesman at a clothing store makes a sale to 30% of the customers he talks to, and wants to try out a new tecnique to see if he can change this rate. He decides to collect data for a few months on the percentage of customers he makes a sale to, and he is able to construct a 95% confidence interval of (.3095, .3275). Is there evidence at 5% significance that he has changed his average sales?
Answer:
Yes, we can conclude that average sales has changed.
Step-by-step explanation:
The null hypothesis, H0 : μ = 0.3
The alternative ; H0 : μ ≠ 0.3
The result of the 95% confidence interval of (.3095, .3275); This shows that the confidence interval is now between 30.95% and 32.75% ; since μ does not lie within the confidence interval value and the lower boundary of the confidence interval is > 30; we Can conclude with an evidence of 5% significance that his average sales as changed (increased).
We can reject H0 and conclude that μ > 0.3
Please help! This is past due and i need it in in like 30 minutes. Ill be posting more questions soon so stay here.
Answer:
384 square inches
Step-by-step explanation:
The side is 10×5=50
There are 4 sides of equal surface area so we are at 200
The floor is 8×10=80 so we are at 280
The front is 8×5=40 and the back is the same so add another 40 so we are at 360
Add the little triangles which are 4×3=12 and you add the back as well so we get 384 square inches
Find the distance from Point A to Point B The distance is __ units (round to the nearest tenth if needed)
Answer:
8.6 units
rounded would be just 9 ig?
Buying one movie ticket online costs $16.50. Two tickets cost $30.50. Assuming that the relationship is linear, what is the recursive formula? (remember recursive formula is An = An-1 + d)
1. An = A1 + (n - 1) +30.50
2. An = An-1 + 14 where A1 = 16.50
3. A20 = 231
4. An = 30.5 + 16.50
Answer:
c(n)= 14n+2.50
Step-by-step explanation:
Have a good day
Every day, the Clark Pet Store uses 1 1/2 bags of dog food to feed the dogs. How many days will 7 1/2 bags of dog food last?
Write your answer as a fraction or as a whole or mixed number.
Answer:
5 days
Step-by-step explanation:
1.5/5=7.5
Hope this helps!
2 box plots. The number line goes from 175 to 450. For resort A, the whiskers range from 175 to 375, and the box ranges from 250 to 300. A line divides the box at 375. For Resort B, the whiskers range from 200 to 400, and the box ranges from 300 to 375. A line divides the box at 325.
What can be said about the data for the snowfall in each resort? Check all that apply.
Answer:
2 box plots. The number line goes from 175 to 450. For resort A, the whiskers range from 175 to 375, and the box ranges from 250 to 300. A line divides the box at 375. For Resort B, the whiskers range from 200 to 400, and the box ranges from 300 to 375. A line divides the box at 325.
Step-by-step explanation:
Answer:
ab 50 and ab 75
Step-by-step explanation:
Ms. Sanchez has $200 to spend on parking and admission to a museum. The parking will cost $10 and admission tickets cost $15.50 per person, including tax. Write and solve an equation that can be used to determine the number of people that she can bring to the museum, including herself.
Answer:
12 people including herself
Step-by-step explanation:
x = number of people
($200 - $10)/$15.50 = x
x = 12.26
Given that -5 < -3, which statement is not true?
-5 is to the left of -3 on the number line.
-3 is to the right of -5 on the number line.
-3 > -5
-3 is less than -5,
Answer:
-3 is less than -5
Step-by-step explanation:
the bigger the negative number is, the less it has a great amount of value.
-3>-5 is correct because -3 is greater than -5
-5 is to the left of -3 on the number line is true
-3 is to the right of -5 on the number line is true as well
hope this helps! : )
Help me with this please
Which is a solution of 2x(8x + 5) (7x – 13) = 0?
Answer:
Step-by-step explanation:
This has 3 solutions
2x = 0 Divide by 2
x = 0
8x + 5 = 0 Subtract 5 from both sides
8x = - 5 Divide by 8
x = - 5/8
x = -0.625
7x - 13 = 0 Add 13 to both sides
7x = 13 Divide by 7
x = 13/7
x = 1.86
What is the volume of this composite solid?
Answer:
B
Step-by-step explanation:
I think
Hello can someone plz help me? Plz show your work
Step-by-step explanation:
Sandra played for 4=x minutes in the basketball game and Diane how ever played seven times as long as Sandra so the equation and the minutes Diane played is represented by;
4=x(Sandra)
Diane= 7(x)
=7(4)
=28
What is the solution to the system below? x + 5y = 4
x - 5y = -16
(6,-2)
(2,-6)
(-6,2)
(-2,6)
Answer:
(-6,2) third option is correct
Step-by-step explanation:
x+5y=4 equation1
x-5y=-16 equation 2
by adding both equations we got
2x=-12
x=-6
now put x=-6 in any of the equation to get y...
-6+5y=4 equation 1
5y=4+6
5y=10
y=10/5
y=2
(-6,2)
Answer:
(-6, 2)
Step-by-step explanation:
Put (-6, 2) into eq1 and eq2
1. (-6) +5(2)= -6 +10 =4
2.(-6) - 5(2)= -6-10 = -16
only one that works is (-6, 2)
Find the value of x.
Answer:
x = 30°
Step-by-step explanation:
< A = 90° {Being vertically opposite angles }
Now
x + 90° + 2x = 180° (Being linear pair)
3x = 180° - 90°
3x = 90°
x = 90° / 3
x = 30°
Hope it will help :)❤
Can someone help me, please? Also, can someone explain it?
Answer:60m^2
Step-by-step explanation:you have to find the height of the triangle first which is easy bc it’s been split in half so the are now two right triangles. use the pythagorean theorem to determine the height, the height is 12, the formula for the area of a triangle is 1/2bxa and half of the base is already given to you, 5 so 5 x 12 equals 60
HELP ME PLS! Customers at the gym pay a membership fee to join and then a fee for each class they attend. Here is a graph that represents the situation
Answer:
the slope should represent the fee of each class
.
the vertical intercept is the membership fee
Answer:
the y-inyetcept means the starting fee to join
and the slope means fee per class paid by the customers.
Step-by-step explanation:
help plz look at the image to answer to all 10 questions no links plz
Answer:
2 4 6 8 12 14 16 18 20
Step-by-step explanation:
Answer:2 4 6 8 10 12 14 16 18 20
Step-by-step explanation: just add them or count by 2
16. Solve for x. x = __________
Answer:
20
Step-by-step explanation:
WILL GIVE BRAINLIEST
The diagonals of a quadrilateral are 12 and 10. Is
this a parallelogram rectangle? Explain your answer
Answer:
the answer is no.a parallelogram is not a rectangular but the opposite is true. the reason is a cause of parallelogram's diagonals.they might not be equal in parallelogram but in rectangular they must be equal.
Step-by-step explanation:
Answer:
If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. So yes it is a parallelogram.
Step-by-step explanation:
Diagonals of parallelogram are not necessarily equal. This is a known property of a parallelogram. If all angles are equal, then it means its opposite angles are also equal which is a condition for a quadrilateral to be called parallelogram. If all sides are equal then, opposite sides are also equal.