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
In the app Kami, can the teacher see what time you edited the assginment. Like if i edit it at 3:00 pm, can they see what and how fast i typed?
Answer: I don't think so because they can only see it when you turn it in. Trust me I have kami too.
Solve for x to the nearest 10th.
410 = 1080(0.915)^x
Answer:
410/1080=(0.915)^x
0.379=(0.915)^x
ln0. 379/ln0.915=x
X=10.903
2
✓3
✓5
✓6
A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 24 ft long and 18 ft wide. If the gardener wants to build a
fence around the garden, how many feet of fence are required? (Use the value 3.14 for 1, and do not round your answer. Be sure to include the correct unit in
your answer.)
0
ft
ft?
ft
18
х
?
24 ft
Answer:
Area = 559.17 sq ft
Step-by-step explanation:
Area (rectangle) = 18 x 24 = 432
Area (semi-circle = πr²÷2 = 81π/2 = 127.17
Please help I can’t fail
Answer:
B
Step-by-step explanation:
line b is the closest to all the points on the graph
There are 3 red marbles, 4 blue marbles, 2 green
marbles, and 6 clear marbles in a burlap bag. One
marble is randomly pulled from the bag. What is
the probability the marble was green?
Answer:
2 out of 15 chance its green
Step-by-step explanation:
there's 15 marbles in total and 2 are green
AHH IM BEGGING OMG YOU DONT KNOW HOW IMPORTANT THIS IS I WILL GIVE BRAINLIEST AND I WILL BE FOREVER GREATEFUL PLSSSSS
Owen can type 30 and 2/3 words in 2/35 of a minute. What is his rate in words per minute?
Answer:
Owen can type 536 2/3 per minute
Step-by-step explanation:
let me know if this is wrong
Which fee could decrease an investor's return on investment when the investor may not have bought or sold any stock for a significant period of
time?
OA front-end load
Answer: Inactivity fee
Step-by-step explanation:
The rest of the options are not given but there can only be one correct answer to this question and that's the answer above.
Brokerages earn a return when they trade financial instruments for investors as they take a commission from this. When an investor has not traded for a while, brokerages don't get to make earnings and will be holding the account with minimal rewards.
To compensate for this, they charge an inactivity fee that will ensure that they get some form of earnings for managing the account and not receiving commission.
Answer:
Inactivity fee
Step-by-step explanation:
Simplify the quotient
7^8 / 7^3
Answer:
D) 7⁵
Step-by-step explanation:
1) Use Quotient rule: x^a/x^b = x^a-b.
[tex] {7}^{8 - 3} [/tex]
2) Simplify 8 - 3 to 5.
[tex] {7}^{5} [/tex]
3) Simplify.
[tex]16807[/tex]
The answer is option D. 7⁵.
Triangle abc and xyz are congruent ,/_A is one half the size of /_B,/_y is 90° ./_c and /_z each have a measure of 45°.What is the measure of /_ a?
Answer:
∠a = 45°
Step-by-step explanation:
We are told that △abc and △xyz are congruent.
Thus;
∠a = ∠x
∠b = ∠y
∠c = ∠z
We are given;
∠y = 90°
Thus, ∠b = 90°
Now,we are told that ∠a is one half the size of ∠b.
Thus; ∠a = ½ × ∠b
∠a = ½ × 90
∠a = 45°
Please, multiply the following Algebric sum.........
3ab+2bc, 5bc
Answer: The required product of two given algebraic expressions =15abc +10b²c²
Step-by-step explanation:
Here we need to multiple two algebraic expressions: 3ab+2bc, 5bc
i.e. The required product = (3a+2bc) x (5bc)
= 3a x 5bc + 2bc x 5bc [Using right distributive property: (a+b)c= ac+bc]
= (3x 5) abc + (2 x 5) (bc)²
= 15abc +10b²c²
Therefore, the required product of two given algebraic expressions = 15abc +10b²c²
The Americans with disabilities act sets a maximum angle for a wheelchair ramp entering a business at 4.76 degrees. Determine the horizontal distance needed to accommodate a ramp that goes up to a door.
Answer:
Step-by-step explanation:
tanα=h/d, where α=angle of elevation, h=height, d=horizontal distance.
d=h/tanα, we are given that h=4ft and α=4.76° so
d=4/tan4.76° ft
d≈48.04 ft (to nearest hundredth of a foot)
A table is on sale for 33% off. The sale price is $603.
What is the regular price?
Help please
Answer:900
Step-by-step explanation:
603*100/(1-33)
900
Do 2b+b and 3b have the same value for all values of b
Answer:
Expression 2b+b and 3b have same values for all values of b.
Step-by-step explanation:
Given the two expression 2b+b2b+b and 3b3b and values of b as 1, 2 and 3.
Consider first expression that is, 2b+b2b+b .
Substituting the value of b=1b=1 ,
2\left(1\right)+\left(1\right)=2+1=32(1)+(1)=2+1=3 ....1
Substituting the value of b=2b=2 ,
2\left(2\right)+\left(2\right)=4+2=62(2)+(2)=4+2=6 ....2
Substituting the value of b=3b=3 ,
2\left(3\right)+\left(3\right)=6+3=92(3)+(3)=6+3=9 ....3
Consider second expression that is, 3b3b .
Substituting the value of b=1b=1 ,
3\left(1\right)=33(1)=3 ....4
Substituting the value of b=2b=2 ,
3\left(2\right)=63(2)=6 ....5
Substituting the value of b=3b=3 ,
3\left(3\right)=93(3)=9 ....6
For value of b=1, equation 1 and equation 4 are same, for value of b=2, equation 2 and equation 5 are same and for value of b=3 equation 3 and equation 6 are same.
Therefore both expression are same for all values of b.
Step-by-step explanation:
Hope it helps you!
just follow me for more!
I'm willing to help you
Juan decided to start savings for college. He deposited $500 into an account which earns 4% simple annual interest. At the end of each year, he will add $250 to this account. How much will he have in his account after the end of three years?
a
$550
b
$770
c
$1,050.80
d
$1,342.83
Answer
I am getting a different answer The reason being the first year we calculating the 4% of the initial amount of the $500 towards the end of the year if he deposits the 250 the second year he gets to have a 4% interest of the 750 in total If he deposits the 250 in the 3rd he gets to have a 4% of 1000 So if you actually calculate that and get the total of all the amount which is 1,000 plus the percentages of all that you get what I've shared
9514 1404 393
Answer:
d $1342.83
Step-by-step explanation:
At the end of the first year, the account balance will be $500 plus 4% interest on that amount, plus the $250 deposited at the end of the year:
$500(1.04) +250 = $770
At the end of the second year, the account balance will be $770 plus 4% interest on that amount, plus the $250 deposited at the end of the year:
$770(1.04) +250 = $1050.80
At the end of the third year, the account balance will be $1050.80 plus 4% interest on that amount, plus the $250 deposited at the end of the year:
$1050.80(1.04) +250 = $1342.83
_____
Additional comment
You can make an appropriate guess by realizing the total of the deposits is ...
$500 + 3×250 = $1250
Adding interest to that will increase the amount. The only answer choice greater than $1250 is $1342.83.
For which value of is the following number undefined
x - 3 / x + 4
Answer:4x - 2 = 3x + 1
Step-by-step explanation: shooooooooo papi
Answer:
x = - 4
Step-by-step explanation:
The denominator of the rational expression cannot be zero as this would make it undefined.
Equating the denominator to zero and solving gives the value that x cannot be, that is
x + 4 = 0 ⇒ x = - 4
Thus x = - 4 is the excluded value
Which one should I choose?
Answer:
∠ 1 = 58°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
117° is an exterior angle of the triangle, then
∠ 1 + 59° = 117° ( subtract 59° from both sides )
∠ 1 = 58°
Oliver found a list of the number of roller coasters at each amusement park in the state. 11, 17, 28, 17, 40, 44, 19, 45, 49, 31 What is the median?
Answer:
29.5
Step-by-step explanation:
Order from least to greatest
11, 17, 17, 19, 28, 31, 40, 44, 45, 49
Then find the middle number which is 28 and 31 so add the two numbers
28 + 31 = 59
then
59 divided by 2 = 29.5
A quadrilateral is inscribed in a circle. Find the measure of each missing angle as labeled below. Show your work and/or explain how you got your answer.
1 point for each correct angle measure and 1 point for explaining or showing how you got your answer. Don’t forget to label your answers.
Answer:
C = 95°
D = 72°
F = 108°
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary. Inscribed angles are half the measure of the arc they subtend. (The latter statement can be used to prove the former one.)
Using these relations, we have .
C = 180° -E = 180° -85° = 95°
D = 144°/2 = 72°
F = 180° -D = 180° -72° = 108°
What is the measure of an angle that is 3/6 of a circle?
Answer:
180 degrees
Step-by-step explanation:
A whole circle is 360 degrees and 3/6 of that (or 1/2) is 180 degrees. I hope this helps!
PLEASEE HELPP!!! DUE TODAYY!!!
Answer:
b 5/12
Step-by-step explanation:
What is the value of -124/?
Answer:
I think the value of -124 is just 124
Just remove the negative!!
Step-by-step explanation:
Hope this helped!!!
6x – 9 = 33 Check
please and thank you
Answer:
x = 7
Step-by-step explanation:
6x - 9 = 33
6x = 33 + 9
6x = 42
x = 42 / 6
x = 7
6x - 9 = 33
6 x 7 - 9 = 33
42 - 9 = 33
33 = 33
Hope that helps!
Answer: x=7
Step-by-step explanation:
6x-9=33
for x
6x=33+9
6x=42
x=42/6
x=7
for checking put value of x
6*7-9=33
42-9=33
33=33
im confused on this problem
Answer:
y = 54, x = 62
Step-by-step explanation:
plz mark helpful, 5 str, and give brailiest, thx!
Each week, Cody earns $15 and spends $12. Which table can you use to determine how much money Cody will save in 6 weeks?
a
b
c
d
Listen NEXT
Answer:
$18
Step-by-step explanation:
15 x 6 = 90
12 x 6 = 72
90 - 72 = 18
He saves 18 dollars
There are no pictures with the multiple choice answers.
My guess would be a line graph
Hi guys can you answer this question
Answer:
160403.47
Step-by-step explanation:
Please mark as brainliest
7.32*600=4392
4392*0.56= 2459.52
2459.52*3= 7378.56
7378.56/3.45=2138.71
2138.71*75= 160403.47
Answer:
28.5161739131
hope this answer helps you.....
If x = 2, y = 3 and z = 4, calculate the value of each of the following algebraic expression: 4z + 3x - y
Answer:
the answer be 19 .. also u can use photomath I gives u answers and tells u how ro do them
Find the slope of the line that passes through the points (0,-5) and (-2,-3).
Answer:
the slope is -1
Step-by-step explanation:
formula for slope is (y2-y1)/(x2-x1)
lets say (-2,-3) is (x2,y2)
-3-(-5)=2
-2-0=-2
2/-2=-1
Please help me I have 10 minutes no scams I’m in 7th grade
Answer:
The answer is 37
Step-by-step explanation:
180- 143= 37
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:
If AABC = APQR, then
AB =
Help please
Answer:
PQ should be the answer
Step-by-step explanation:
