A bus is traveling between two cities that
are in neighboring states. The graph of
the function d(t) = 60|t − 1.25| shows the
distance of the bus in miles from the state line,
where t represents time in hours.
a. What does the graph tell you about the bus ride?
b. What is the average rate of change from 1.5 h to 2 h? What does the
average rate of change represent?
Answers
Answer:
(a). The bus decelerated to rest through 75 miles for 1.25 hours and accelerated through same distance for 1.25 hours.
b.
[tex]s _{1} = \frac{d _{1} }{t _{1} } \\ = \frac{15}{1.5} \\ s _{1} = 10 \: miles \: per \: hour \\ \\ s _{2} = \frac{d _{2} }{t _{2}} = \frac{45}{2} \\ = 22.5 \: miles \: per \: hour \\ average = \frac{22.5 + 10}{2} \\ = 16.25 \: miles \: per \: hour[/tex]
a) The bus decelerated to rest through 75 miles for 1.25 hours and accelerated through same distance for 1.25 hours.
b)The average rate of change represent is 16.25 miles per hour.
What is a function rule? A functional rule is the relationship between an input or domain and an output or scope.A relation is a function only if it has a value within each domain value.Functions are written like where is the input value. The general form of the function is:A vertical test is run graphically to determine if the relationship is a function.A formula, rule, or law that defines the relationship between one variable (the independent variable) and another (the dependent variable).Functions are ubiquitous in mathematics and essential in the natural sciences for formulating physical relationships.A formula, rule, or law that defines the relationship between one variable (the independent variable) and another (the dependent variable).a) The bus decelerated to rest through 75 miles for 1.25 hours and accelerated through same distance for 1.25 hours.
b)
s1 = d1/t1
15/1.5
s1 = 10 miles per hour
s2 = d2/t2
22.5 miles per hour
Average = 16.25 miles per hour.
To learn more about functions, refer
brainly.com/question/25638609
#SPJ2
Related Questions
Please help I put 100 points
Answers
Answers:
26 math problems
16 science problems
===============================================
Work Shown:
m = number of math problems
s = number of science problems
Since "you have 10 more math problems than science problems", we can say m = s+10
Also, we can say m+s = 42 because there are 42 problems total.
Replace m with s+10, which is the substitution rule, and solve for s like so
m+s = 42
s+10+s = 42
2s+10 = 42
2s = 42-10
2s = 32
s = 32/2
s = 16
You have 16 science problems
m = s+10
m = 16+10
m = 26
and you have 26 math problems
To check this, we would say m+s = 26+16 = 42 which confirms the answer.
I cant see ur image.........
Amy is going on a 4 1 4 4 4 1 mile hike. She has already hiked 2 3 4 2 4 3 miles. How many more miles does she have left
Answers
Answer:
1 1/2 miles
Step-by-step explanation:
Amy is going on a 4 1 /4 miles hike. She has already hiked 2 3 /4 miles. How many more miles does she have left?
We solve the above question using the operation of Subtraction
The number of miles she has left is calculated by:
Total number of miles she must hike - Number of miles she has hiked
Total number of miles she must hike
= 4 1/4 miles
Number of miles she has hiked = 2 3/4 miles
Therefore:
The number of miles she has left to hike is = 4 1/4 miles - 2 3/4 miles
Lowest Common Denominator = 4
4 - 2 + ( 1/4 - 3/4)
2 + (1 - 3/4)
2 + -2/4
1 2/4
= 1 1/2 miles
Will rank the correct answer brainliest!
Answers
Answer:
Step-by-step explanation:
diameter=2*radius
=2*9
=18 in
given central angle=72 degree
arc length=central angle /360° *πd
=72/360 *3.14*18
=1/5 *56.52
=56.52/5
=11.304
Answer:
arc length=2πr×0.2
=2×3.14×9×0.2
=11.304 inch²
Kaylee and her children went into a movie theater and will buy drinks and candies.
She must buy no less than 15 drinks and candies altogether. Write an inequality that
would represent the possible values for the number of drinks purchased, d, and the
number of candies purchased, c.
Answers
Answer:
c+d>15
Step-by-step explanation:
Usually there's more to the question.. the inequality doesn't look too right, but it could be.
Answer:
c+d>15
Step-by-step explanation:
Gerald wants to buy a sweater that is $41.60 because it is on sale for 20% off
Answers
Answer: $33.28
Step-by-step explanation: 41.60x .20 = 8.32
41.60 - 8.32 = 33.28
Lisa, Taryn, and Catherine go to a store to buy party supplies. The store has a sale on the supplies they want for 3_4 the original price. The girls agree to each pay 1_3 of the cost.
Answers
Answer:
1/4 of the cost
Step-by-step explanation:
Lisa, Taryn, and Catherine go to a store to buy party supplies. The store has a sale on the supplies they want for 3/4 the original price. The girls agree to each pay 1/3 of the cost. What fraction of the original price did each girl pay?
Discounted price = 3/4 the original price
Each girl agreed = 1/3 of the cost
Amount each girl paid = 3/4 * 1/3
= (3 * 1) / (4 * 3)
= 3 / 12
= 1/4 of the cost
Amount each girl paid = 1/4 of the cost
Please help I really need it for a grade boost.
Answers
Answer:
I hope This will Help u.. Plz mark me as Brilliant please
Step-by-step explanation:
Before you get started, take this readiness quiz.
Simplify: 
If you missed this problem, review (Figure).
Solve Equations with Constants on Both Sides
In all the equations we have solved so far, all the variable terms were on only one side of the equation with the constants on the other side. This does not happen all the time—so now we will learn to solve equations in which the variable terms, or constant terms, or both are on both sides of the equation.
Our strategy will involve choosing one side of the equation to be the “variable side”, and the other side of the equation to be the “constant side.” Then, we will use the Subtraction and Addition Properties of Equality to get all the variable terms together on one side of the equation and the constant terms together on the other side.
By doing this, we will transform the equation that began with variables and constants on both sides into the form  We already know how to solve equations of this form by using the Division or Multiplication Properties of Equality.
Solve: 
Solution
In this equation, the variable is found only on the left side. It makes sense to call the left side the “variable” side. Therefore, the right side will be the “constant” side. We will write the labels above the equation to help us remember what goes where.

Since the left side is the “”, or variable side, the 8 is out of place. We must “undo” adding 8 by subtracting 8, and to keep the equality we must subtract 8 from both sides.
Use the Subtraction Property of Equality.Simplify.Now all the variables are on the left and the constant on the right.
The equation looks like those you learned to solve earlier.Use the Division Property of Equality.Simplify.Check:Let .
Solve: 

Solve: 

Solve: 
Solution
Notice, the variable is only on the left side of the equation, so we will call this side the “variable” side, and the right side will be the “constant” side. Since the left side is the “variable” side, the 9 is out of place. It is subtracted from the , so to “undo” subtraction, add 9 to both sides. Remember, whatever you do to the left, you must do to the right.
Answer:
Division property of equality
Step-by-step explanation:
[tex] - 2m = 40[/tex]
[tex]m = \frac{40}{ - 2} [/tex][tex]m = - 20[/tex]
Hope it is helpful...Find the value of x and y. NEED HELP ASAP
Answers
Answer:
11) 2√3
12) 4√3
Step-by-step explanation:
11)
tg60 = 6/x
x= 6/tg60
x= 6/ √3
x= 2√3
12)
a2= (b)2 + (c)2
a2= (6)2 + (√3)2
a2= 36 + 12 = 48
a= √48
a= 4√3
I hope this helps you :)
Find f(2) if f(x) = (x + 1)^2
answer options:
a. 6
b. 9
c. 5
HURRY PLZZZ
Answers
Answer:
c
Step-by-step explanation:
Replacing x with 2, you get 5 as your answer
The choices are
A. 2/13
B. 3/13
C. 5/13
D. 8/13
Answers
Step-by-step explanation:
The answer is A
can someone pls finish this for me, ill give brainliest
What was the activity? Drawing Circles
How long did you spend doing your activity? 1 minute
How much of the activity did you complete in the time period? (Example: I did 24 sit-ups in one minute). Drew 29 circles
Which of these variables is your dependent variable?
Which one is the independent variable?
Write a sentence that describes the relationship between the dependent variable and the independent variable. (Hint: Ratio language can help.)
part 2
Assuming that you could complete the activity at the same rate over different time periods, how much of the activity could you complete in two minutes, three minutes, four minutes, and five minutes? (Note: If you spent two minutes doing your activity, then you should edit the table below and use multiples of 2 up to 10).
You may use the table below for your variables.
Time
(minutes)
0 0
1
2
3
4
Answers
Answer:
dependent variable: circles drawn
independent: time
the independent variable is what you control, which was the time spent. the amount of circles you were able to draw depended on the amount of time you had, so it was the dependent variable.
part 2:
if you drew circles at the same rate
0-0
1-29
2-58
3-87
4-116
hope that helped! lemme know if you need more
10) what is the area ratio
11) what is the area of RST
HELP ASAP EMERGENCY
Answers
9514 1404 393
Answer:
10) C 4/9
11) B 24
Step-by-step explanation:
10) The area ratio is the square of the ratio of side lengths. The ratio of side lengths is ...
RS/LM = 6/9 = 2/3
Then the area ratio is ...
(2/3)² = 4/9
__
11) Using the result of question 10, the area of ∆RST is ...
(4/9)(54 in²) = 24 in²
(6 - i)(6 + i) multiplying complex numbers
Answers
Answer:
[tex](6 - i)(6 + i) \\ = (36 + 6i - 6i - {i}^{2} ) \\ = 36 - {i}^{2} \\ = 36 - ( - 1) \\ = 36 + 1 \\ = 37[/tex]
Total cost for cookie and lemonade is 1.80. If lemonade costs 1.00 more than the cookie, how much was the lemonade?
Answers
Answer:
The lemonade costs 1.4.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
x is the cost of a cookie.
y is the cost of a lemonade.
Total cost for cookie and lemonade is 1.80.
This means that [tex]x + y = 1.8[/tex].
As we want y, we have that [tex]x = 1.8 - y[/tex]
Lemonade costs 1.00 more than the cookie?
This means that:
[tex]y = x + 1[/tex]
So
[tex]y = 1.8 - y + 1[/tex]
[tex]2y = 2.8[/tex]
[tex]y = \frac{2.8}{2}[/tex]
[tex]y = 1.4[/tex]
The lemonade costs 1.4.
Sam, a researcher, and his team conduct a study to examine the effect of WakeMe, an energy drink, on intelligence levels of people in a small town. The people from this town are randomly divided into two equal, representative groups. Members of one group, Group MW, are made to drink WakeMe and then take an intelligence test. Members of the other group, Group NoMW, are made to drink plain water packaged in WakeMe bottles and then take an intelligence test. In this scenario, ______ is the control group and the ______ is the experimental group.
Answers
Answer:
Hence, In this scenario, __Group NoMW____ is the control group and the ___Group MW___ is the experimental group.
Step-by-step explanation:
The control group is the one which is not subjected to any testing situation or condition.
While the experimental group is the one which is subjected to testing condition.
Hence, In this scenario, __Group NoMW____ is the control group and the ___Group MW___ is the experimental group.
Simplify the following by collecting like terms.
c + c +c+c
Answers
Answer:
4c
Step-by-step explanation:
c + c +c+c
Factor out c
c(1+1+1+1)
c(4)
4c
Learning Task 2
Solve the following problems. (Show your complete solutions.)
1.) What is the sum of the interior angles of a polygon having 8 sides?
2.) Find the measure of the exterior angle of a regular decagon.
3.) Find the number of diagonals of a nonagon.
4.) What is the measure of each angle of a regular nonagon?
5.) if the sum of the measures of the angles of a regular polygon is 900, then
what is the number of sides?
Answers
1. 1080°
2. 36°
3. 27 diagonals
4. 140°
5. 7 sides
Step-by-step explanation:1. The sum S of the interior angles of a polygon is given by;
S = (n-2) x 180°
Where;
n = number of sides of the polygon.
Therefore, to get the sum of the interior angles of a polygon having 8 sides, we substitute n = 8 into equation (i) as follows;
S = (8 - 2) x 180°
S = 6 x 180°
S = 1080°
Therefore, the sum of the interior angles of a polygon having 8 sides is 1080°
2. The sum of interior angles of a polygon is given by;
S = (n - 2) x 180°
For a polygon which is a regular decagon where the number of sides n = 10, the sum is;
S = (10 - 2) x 180°
S = 8 x 180°
S = 1440°
Since the decagon is regular, then each of its interior angles is given by;
1440° / 10
=> 144°
Now, since we know that the sum of the interior angle and exterior angle will give 180°, then;
The exterior angle of a regular decagon is;
180° - 144° = 36°
Therefore, the exterior angle of a regular decagon is 36°
3. The number of diagonals N of a polygon with n sides is given by;
N = [tex]\frac{1}{2} n(n-3)[/tex]
So, for a nonagon which has 9 sides (i.e n = 9), the number of diagonals is;
N = [tex]\frac{1}{2}*9(9-3)[/tex]
N = [tex]\frac{1}{2}*9(6)[/tex]
N = 9(3)
N = 27
Therefore, a nonagon has 27 diagonals.
4. The sum of interior angles of a polygon is given by;
S = (n - 2) x 180°
For a polygon which is a nonagon where the number of sides n = 9, the sum is;
S = (9 - 2) x 180°
S = 7 x 180°
S = 1260°
Since the nonagon is regular, then each of its interior angles is given by;
1260° / 9
=> 140°
Therefore, the measure of each angle (interior angle) of a regular nonagon is 140°
5. The sum of the interior angles of a polygon is given by;
S = (n - 2) x 180°
So if the sum is 900, then to get the number of sides of the polygon, we substitute S = 900 into the equation;
900° = (n - 2) x 180°
Divide through by 180°
5 = (n - 2)
Solve for n;
n = 5 + 2
n = 7
Therefore, the regular polygon has 7 sides.
an estate valued at $75 000 is divided among three daughters Natasha, Natalie and Nadia in the ratio 5:8:2 respectively. Calculate the amount each receives
Answers
Answer:
Natasha: $25000
Natalie: $40000
Nadia: $10000
Step-by-step explanation:
5 : 8 : 2
5 + 8 + 2 = 15
$75000 ÷ 15
$5000
$5000 × 5 = $25000
$5000 × 8 = $40000
$5000 × 2 = $10000
10. A trapezold has a base of x and a helght of 3 units. If there is also a square with sides measuring x,
what formula would be used to calculate the total area of both figures (the ^sign represents the
exponent or power of the number): *
09x
Ox2
4x + x3
1x 2 + 3
Answers
Answer:
I Think 0x2 Or 4x + x3 I'm not 100% Sure
Step-by-step explanation:
I Tried..
Please Help me. I get so confused doing these questions.
Answers
Answer:
It should be -24
Step-by-step explanation:
I found it online, since I wasn't entirely sure, but remember that studying can be fun, and everyone have an amazing day :)
For the image below, state the line of reflection:
Answer choices:
y = -2
x-axis
y-axis
x = -1
Answers
Answer:20
Billions
Step-by-step explanation:
Answer:
Kjxiycdafgousdgkuafveligfasa
Mr. Norris buys a boat for $125,000. He has to pay a 5% tax on his purchase of the boat. How much money is the tax?
Answers
6250 is 5% of 125000
Each day, Deanne starts working at 10:00 a.m. and Stephanie starts working at noon. At which time each day are the earnings for Deanne equal to the earnings for Stephanie?
Answers
Answer:
Time when both earnings are equal = 5:00 Pm
Step-by-step explanation:
Given:
Total earning of Deanne = 6.50x
Total earning of Stephanie = 9.10(x -2)
Work started at 10:00 am
Find:
Time when both earnings are equal
Computation:
Total earning of Deanne = Total earning of Stephanie
6.50x = 9.10(x - 2)
6.5x = 9.1(x-2)
6.5x = 9.1x - 18.2
9.1x - 6.5x = 18.2
2.6x = 18.2
x = 18.2 / 2.6
x = 7 hour
So,
Time when both earnings are equal = Work started at 10:00 am + 7 hour
Time when both earnings are equal = 5:00 Pm
The angle of elevation to a nearby tree from a point on the ground is measured to be
44º. How tall is the tree if the point on the ground is 51 feet from the tree? Round
your answer to the nearest hundredth of a foot if necessary.
Answers
Answer: the tree is 49.25
Step-by-step explanation:
The height of the considered tree if the point on the ground is 91 feet from the tree is 49.2507 feet approximately.
What is angle of elevation?You look straight parallel to ground. But when you have to watch something high, then you take your sight up by moving your head up. The angle from horizontal to the point where you stopped your head is called angle of elevation.
For this case, referring to the attached figure below, we get:
Angle of elevation =∠ACB=44°
Distance of the base of the tree from the point of the ground = 51 feet
Height of the considered tree = h feet (assume).
Angle ACB denotes internal angle made by AC and CB line segments). It is the angle of elevation here, taking BC as horizontal line, and AC as elevated line.
Then, using the tangent ratio from the perspective of angle ACB, we get:
tan44°= h/51
h= 0.9657×51
h= 49.2507 feet
Therefore, the height of the considered tree if the point on the ground is 91 feet from the tree is 49.2507 feet approximately.
Learn more about tangent ratio here:
brainly.com/question/14169279
#SPJ6
A 2m tall man observes the angle of elevation of a tower 45m to be 30 degree.find the distance between man and the tower
Answers
Answer:
CARRY ON LEARNING BEGGINER PALANG PO KASI AKO EH
Step-by-step explanation:
sorry po
Chỗ hình chóp S.ABCD có đáy ABCD là hình vuông .SA=AB=2 SA vuông góc với đáy.Gọi T là điểm thoả mãn vector ST=1/2 vectơ AB tính thể tích khối đa diện ABCDST
Answers
Answer:
Step-by-step explanation:
Container A holds 5 bottles of water each with a capacity of 250ml. Container B
holds 7 bottles of water each with a capacity of 175ml. Which container holds
more water? Explain your answer.
Answers
Answer:
Container A has more capacity, as it holds 1,250 milliliters of water against 1,225 milliliters that Container B contains.
Step-by-step explanation:
Since Container A holds 5 bottles of water each with a capacity of 250ml, while Container B holds 7 bottles of water each with a capacity of 175ml, to determine which container holds more water, the following calculation must be performed:
Container A:
250 ml x 5 bottles: Capacity
250 x 5 = X
1,250 = X
Container B:
175 ml x 7 bottles: Capacity
175 x 7 = X
1,225 = X
Therefore, Container A has more capacity, as it holds 1,250 milliliters of water against 1,225 milliliters that Container B contains.
Anyone know how to skip a video on edge nuity???
Answers
Answer:
I dont think there is a way
Step-by-step explanation:
what is the length of the missing leg?
Answers
Answer:
[tex]a=\sqrt{609}\\\\a\approx 24.67793[/tex]
Step-by-step explanation:
To solve for the leg of the missing right triangle, one must use the Pythagorean theorem. The Pythagorean theorem states the following,
[tex]a^2+b^2=c^2[/tex]
Where (a) and (b) are the sides adjacent to or next to the right angle. (c) is the side opposite the right angle. Substitute in the given values and solve for the unknown,
[tex]a^2+b^2=c^2\\[/tex]
Substitute,
[tex]a^2+40^2=47^2\\[/tex]
Simplify,
[tex]a^2+1600=2209\\[/tex]
Inverse operations,
[tex]a^2=609[/tex]
[tex]a=\sqrt{609}\\\\a\approx 24.67793[/tex]
Answer:
b = 9 mm
Step-by-step explanation:
Using Pythagoras; identity in the right triangle
b² + 40² = 41²
b² + 1600 = 1681 ( subtract 1600 from both sides )
b² = 81 ( take the square root of both sides )
b = [tex]\sqrt{81}[/tex] = 9 mm
A=755y/t^2
Solve for y.
Answers
Answer:
y = At²/755
Step-by-step explanation:
A = 755y/t²
multiply both sides by t²
At² = 755y
Divide both sides by 755
At²/755 = y
Flip
y = At²/755