Question:
The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours.
[tex]D(t) = \left \{ {{300t + 125,\ 0 \le t < 2.5} \atop {880,\ 2.5 \le t \le 3.5}} \right.[/tex]
[tex]75t + 612.5,\ 3.5 < t \le 6[/tex]
Which times and distances are represented by the function?
(a)The starting distance, at 0 hours, is 300 miles.
(b) At 2 hours, the traveler is 725 miles from home.
(c) At 2.5 hours, the traveler is 875 miles from home.
(d) At 3 hours, the distance is constant, at 880 miles.
(e) The total distance from home after 6 hours is 1,062.5 miles.
Answer:
At 2 hours, the traveler is 725 miles from home. At 3 hours, the distance is constant, at 880 miles. The total distance from home after 6 hours is 1,062.5 miles.Step-by-step explanation:
Given
[tex]D(t) = \left \{ {{300t + 125,\ 0 \le t < 2.5} \atop {880,\ 2.5 \le t \le 3.5}} \right.[/tex]
[tex]75t + 612.5,\ 3.5 < t \le 6[/tex]
Required
Select the right options
(a) t = 0 hours, d(t) = 300 miles.
To check this, we make use of:
[tex]D(t) = 300t + 125, 0 \le t < 2.5[/tex]
So, we have:
[tex]D(0) = 300*0 + 125[/tex]
[tex]D(0) = 0+125[/tex]
[tex]D(0) = 125[/tex]
(a) is incorrect
(b) t =2 hours, d(t) = 725 miles
To check this, we make use of:
[tex]D(t) = 300t + 125, 0 \le t < 2.5[/tex]
[tex]D(2) = 300 *2 + 125[/tex]
[tex]D(2) = 600 + 125[/tex]
[tex]D(2) = 725[/tex]
(b) is correct
(c) t = 2.5 hours, d(t) = 875 miles
To check this, we make use of:
[tex]D(t) = 800, 2.5 \le t \le 3.5[/tex]
So, we have:
[tex]D(2.5) = 800[/tex]
(c) is incorrect
(d) t = 3 hours, d(t) = 880 miles constant
To check this, we make use of:
[tex]D(t) = 800, 2.5 \le t \le 3.5[/tex]
So, we have:
[tex]D(3) = 800[/tex]
(d) is correct
(e) t = 6 hours d = 1,062.5 miles.
To check this, we make use of:
[tex]D(t) =75t + 612.5,\ 3.5 < t \le 6[/tex]
So, we have:
[tex]D(6) =75*6 + 612.5[/tex]
[tex]D(6) =450 + 612.5[/tex]
[tex]D(6) =1062.5[/tex]
(e) is correct
help me ;-;(with image)
Answer:
12
Step-by-step explanation:
A : B
1 : 3
Since we know that B is 3 times of A and A is 4...
1 unit = 4
3 units = 4 x 3 = 12
Choose the symbol that correctly compares the fractions below.
8/9 ? 1/9
Answer:
Which means that this equation is also true: 8/9 > 1/9
Step-by-step explanation:
Is 8/9 less than 1/9? Is 8/9 smaller than 1/9? These are the same questions with one answer.
To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below:
8/9 = 0.889
1/9 = 0.111
Then, we compare the two decimal numbers to get the answer.
0.889 is not less than 0.111.
Therefore, 8/9 is not less than 1/9 and the answer to the question "Is 8/9 less than 1/9?" is no.
how to factor y^2+49
This expression is not factorable with rational numbers
What is the median age for the following data set representing the ages of students requesting tickets for a summer band concert? Explain your reasoning. 13 14 15 15 16 16 17 18 18
Answer:
16 is the median
Step-by-step explanation:
By definition, the median is the mid value or the middle number of a given data set
Firstly, we have to arrange the numbers in ascending or descending order
What we have as the count of the numbers here is 9
So the middle number is the 5th term counting from either sides
As we can see, the fifth term here is the number 16
Please help I’ll mark brainliest
Answer:
y= x-3
Step-by-step explanation:
use the slope formula which is y= m(slope)x + b(y intercept)
The slope is one, so you can just leave it as x, and the y intercept is -3 so you can plus that into the b.
Hope this helps :)
find the rate of change (slope) for the graph below ( simplify answer)
Use the long division method to find the result when 4x^3+23x^2 + 21x + 30 is
divided by x +5.
Answer:
A polynomial is an algebraic expression made up of two or more terms subtracted, added, or multiplied. A polynomial can contain coefficients, variables, exponents, constants, and operators such as addition and subtraction.
It is also important to note that, a polynomial can’t have fractional or negative exponents. Examples of polynomials are; 3y2 + 2x + 5, x3 + 2 x 2 − 9 x – 4, 10 x 3 + 5 x + y, 4x2 – 5x + 7) etc. Like number, polynomials can undergo addition, subtraction, multiplication, and division.
We saw addition, subtraction, multiplication, and long division of polynomials previously.
hope it helps make brainlliest ty
Han has four shirts in his shirt drawer – a blue shirt, a grey shirt, a white shirt, and an orange shirt. He has three pairs of pants in his pants drawer – blue pants, khaki pants, and black pants. If Han chooses a shirt without looking and then chooses pants without looking, what is the probability that he will choose pants and a shirt that are the same color?
Answer:
1/12
Step-by-step explanation:
12 combinations are possible in this scenario. Shirts. Pants
blue 1 blue 2khaki 3black
grey 4 blue. 5khaki 6black
white 7 blue 8khaki 9black
orange 10blue 11khaki 12black
blue/blue are the only matching items so 1/12 chance
Answer:
1/12
Step-by-step explanation:
HELP DUE IN 15 MINS!
x=??
Answer:
4 yuuuhhhgh I have been working
Answer:
x = 3Step-by-step explanation:
WX is midsegment
WX = 1/2(TU + SV)7x + 10 = 1/2(16 + 46)7x + 10 = 317x = 21x = 3PLEASEEE HELP WORTH 30 AND WILL GIVE CROWN
C.....................
Answer:
1 and 5
Step-by-step explanation:
it is shown in the picture
Shana has three black pens, two red pens, and four blue pens in her book bag. Shana randomly chooses a pen from her book bag without looking. What is the probability that the pen is red or blue?
A. 2/3
B. 2/9
C. 4/9
D. 3/9
3 Black Pens, 2 Red Pens, 4 Blue Pens
Should be 6/9 but since that's not an option I'd try D but I could be wrong I just thought I'd try an help!
If it didn't I'm sorry
or B & C if you can choose 2 answers!
Suri makes $15 per hour and gets a weekly bonus of $25. Juan makes $14 per hour and gets a weekly bonus of $50. Is it possible for Suri and Juan to make
the same amount of wages, y, by working the same number of hours, x, in one week?
O Yes, because the slopes of the equations are different so the system of equations will have one solution.
No, because the slopes of the equations are different so the system of equations will have no solutions.
O Yes, because the slopes of the equations are the same so the system of equations will have infinitely many solutions.
No, because the slopes of the equations are the same so the system of equations will have no solutions.
Answer:
first option
They will make the same amount in week 25
Step-by-step explanation:
The surface area of the square pyramid shown is 84 square inches. What is the value of $x$ ? Square pyramid with base edge of 6 inches, and a slant height labeled x inches, on a triangular face.
Answer:
4 inches
Step-by-step explanation:
The surface area, A of a right square pyramid is given by :
A = a² + 2as
Where, s = height of each triangular surface = x
a = base edge of pyramid
Substituting values into the equation :
A = 84 in² ; a = 6 in ; Slant height, s = x
84 = 6² + 2(6 * x)
84 = 36 + 2(6x)
84 = 36 + 12x
84 - 36 = 12x
48 = 12x
48/12 = 12x / 12
4 = x
Hence, Slant height, x = 4 inches
Answer:
4 inches
Step-by-step explanation:
The surface area, A of a right square pyramid is given by :
A = a² + 2as
Where, s = height of each triangular surface = x
a = base edge of pyramid
Substituting values into the equation :
A = 84 in² ; a = 6 in ; Slant height, s = x
84 = 6² + 2(6 * x)
84 = 36 + 2(6x)
84 = 36 + 12x
84 - 36 = 12x
48 = 12x
48/12 = 12x / 12
4 = x
Hence, Slant height, x = 4 inches
Plz help meeeeeeee I need help
Answer:
5.25 miles per hour
Step-by-step explanation:
Volume? serious answers please.
Mhanifa can you please help? I will mark brainliest!
Answer:
Property of kite used to solve this
Diagonals are perpendicularOne diagonal is an angle bisector (WY)(20)
∠XYZ is double the ∠XYV∠XYV is complementary with ∠VXYm∠XYZ = 2(90° - 58°) = 64°(21)
∠VZW is complementary with ∠VWZ and ∠VWZ is half of ∠ZWXm∠VZW = 90° - 50°/2 = 65°(22)
∠ZWV is half of ∠ZWXm∠ZWV = 1/2*50° = 25°(23)
m∠WZY = m∠VZW + m∠VZY = m∠VZW + m∠VXYm∠WZY = 65° + 58° = 123°i know this is easy but can someone answer the following questions
Complete the following. Show all work for calculations. 25 points if answered correctly
List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Describe the shape of the cross section when the box is cut parallel to the base.
What is the surface area of the box?
What is the surface area of the box if it is scaled up by a factor of 10?
What is the volume of the box?
What is the volume of the box if it is scaled down by a factor of
1
10
?
Answer:
541/2 square
Step-by-step explanation:
What is the volume of the box if it is scaled down by a factor of 1/10
we know that
the volume of the smaller box=[scale factor]³*volume original box
scale factor=1/10
volume original box=5,120 cm³
so
volume of the smaller box=[1/10]³*5,120-----> 5.12 cm³
the answer part 6) is
5.12 cm³
Please help me find the surface area:)
Answer:
48 im 100 percent sure
Answer: 48 hope this helps!!
What is the probability that the dice shows a 2?
Answer:
1/6
Step-by-step explanation:
the probability of rolling a 2 is 1/6
Two trains are traveling toward each other, on parallel tracks. Train A is moving at a constant speed of 70 miles per hour. Train B is moving at a constant speed of 50 miles per hour. The trains are initially 320 miles apart. How long will it take them to meet?
Anitra has 12 hair ribbons. One fourth of the ribbons are pink. Three are purple, and the rest are red. What fraction of Anitra's hair ribbons is red?
The fraction of Anitra's hair ribbons is red is 1/2.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Given that, Anitra has 12 hair ribbons.
One fourth of the ribbons are pink.
So, number of pink ribbons = 1/4 ×12
= 3
Three are purple, and the rest are red.
So, number of red ribbons
= 12-3-3
= 6
Now, fraction = 6/12 = 1/2
Therefore, the fraction of Anitra's hair ribbons is red is 1/2.
To learn more about the fraction visit:
brainly.com/question/1301963.
#SPJ2
Which associations best describe the scatter plot?
Select each correct answer.
A. Nonlinear association
B. Negative association
C. Linear association
D. Positive association
Answer: i think hope this helps
Step-by-step explanation:
helpppppp at least before 1
Answer:
5. 1st,3rd and last answer
Step-by-step explanation:
What is the slope and y-intercept of the following equation: 5x - 3y = 36
Answer:
y=5/3x-12
slope= 5/3
y-intercept= -12
Step-by-step explanation:
i hope this helps :)
Name an outcome that has a probability of 0.5
Answer:
A coin toss
Step-by-step explanation:
if you flip one coin repeatedly like 10 to 10000 it can be 0.5
What is the value of x in the figure below
Answer:
just delete this
Step-by-step explanation:
HELP WITH THIS PLEASE
Answer:
P = 10x + 4
Step-by-step explanation:
Formula to find perimeter:
P = 2(l + w)
P = 2(2x + 3x + 2)
P = 2(5x + 2)
P = 10x + 4
PLEASEE HELP!! what is the perimeter of x?? HURRYYYY
4x > 20 Is x=12 a solution?
yes or no
no
Hope this helps
:T
:B
:D
From what we have, x can equal 12
4x > 20
20/4 = 5
x > 5
12 > 5
What does the 49 days until Fourth of July there are seven days in a week and how many weeks will it be Fourth of July
Answer:
It will be Fourth of July in 7 weeks.
Step-by-step explanation:
Since you know that there are seven days in a week, you can use a rule of three to find the amount of weeks in 49 days that is the number of days until Fourth of July:
7 days → 1 week
49 days → x
x=(49*1)/7
x=7
According to this, the answer is that it will be Fourth of July in 7 weeks.