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.
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Related Questions
What is the distance between the following points?
Answers
A bakery offers a sale price of $3.00 for 4 muffins. What is the price per dozen?
Answers
Answer:
9 dollars.
Step-by-step explanation:
A dozen is 12.
12/4 = 3
$3 * 3 = $9
Step-by-step explanation:
3×4=12. 12 is a dozen. $3=4 muffins. $6=8 muffins. 9=12 muffins . so $9 for a dozen
This figure is known as a triangular prism. Find the surface area in square feet.
10 ft
3 ft
7 ft
8 ft
Answers
Find the missing angle measurements of HFG ? , fill in the boxes
Answers
Answer:
Angle HFG = 24 degrees
Step-by-step explanation:
From the diagram, we have the following;
Angle EFH and angle HFG are complementary (they add up to be 90 degrees)
angle EFH + angle HFG = 90
Angle HFG = 90-66
Angle HFG = 24 degrees
Find the total surface area of a right cylinder with a radius of 3 inches and a height of 17 inches. Round to the nearest tenth.
Answers
Answer:
Step-by-step explanation:
Find the total surface area of a right cylinder with a radius of 3 inches and a height of 17 inches. Round to the nearest tenth.
Your
What is the length of /AB?
Answers
Answer:
[tex]\sqrt{53}[/tex]
Step-by-step explanation:
Which one goes where?:( WILL GIVE BRAINLIEST!<33
Answers
Answer:
1 pair of parallel sides: B
2 pairs of parallel sides: A, D
3 pairs of parallel sides: C
Step-by-step explanation:
When two lines are parallel, they will never intersect.
How many tiles would be in figure 100? Help :/
Answers
Answer: pretty sure it is 201 tiles
please mark me brainlies. That would be helpful
What is the length of Line segment A C?
Answers
Answer:
12
Step-by-step explanation:
The triangles are similar because they have the same angles.
Make a proportion to solve for AC which we will substitute with variable x.
AM = MB = 4
AB = AM + MB = 8
BN = NC = 3
BC = BN + NC = 6
big triangle sides: 8, 6, x
small triangle sides: 4, 3, 6
now we can write proportion.
8/4 = x/6
x = 12
AC = 12
What value of b will cause the system to have an infinite number of solutions? y=6x-b -3x+1/2y=-3
Answers
Answer:
b = 6
Step-by-step explanation:
solve the second equation for 'y':
-3x + 1/2y = -3
add 3x to each side to get:
1/2y = 3x - 3
multiply all terms by 2 to eliminate the denominator to get:
y = 6x - 6
now compare '6x-6' with '6x-b'
you want both expressions to be equal because then there are an infinite number of solutions:
b = 6
Challenge. Add a number to the original data set based on the instructions below:
Original data set:
3, 10, 8, 3, 10, 1, 10,
A)
Fill in the blank with a number that would make the range of the data set 20.
3, 10, 8, 3, 10, 1, 10,
B)
Fill in the blank with a number that would make the mean of the data set 15.
3, 10, 8, 3, 10, 1, 10,
C)
Fill in the blank with a number that would make the standard deviation smaller.
3, 10, 8, 3, 10, 1, 10,
Answers
Answer:
A) 23
B) 75
C) 6.30
Step-by-step explanation:
A) Range = highest value - least value
Range = 20
least value = 3
Thus,
20 = highest value - 3
highest value = 20 + 3
= 23
The number that would make the range of the data set 20 is 23.
B) Let the number be represented by x, so that;
15 = [tex]\frac{3 + 10 + 8 + 3 + 10 + 1 + 10 + x}{8}[/tex]
cross multiply to have
15 x 8 = 45 + x
120 - 45 = x
x = 75
The number that would make the mean of the data set 15 is 75.
C) The given data plus a number that is close to the mean would reduce the standard deviation.
mean of the data set = [tex]\frac{3+10+8+3+10+1+10}{7}[/tex]
= 6.43
The required number could be 6.30
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
Step-by-step explanation:
circumference of circle=2πr
=2*π*9
=18π m
[tex]{ \bf{ \underbrace{Given :}}}[/tex]
Radius of the circle = 9 m.
[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]
The circumference of the circle.
[tex]{ \bf{ \underbrace{Solution :}}}[/tex]
A. C = 18 π ✅
[tex]\sf\orange{The\:circumference \:of\:the\:circle\:is\:18\:π\:m.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
We know that,
[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:2Πr }[/tex]
[tex] = 2 \: \pi \times 9 \: m \\ = 18 \: \pi \: m[/tex]
Therefore, the circumference of the circle is 18 π m.
[tex]\large\mathfrak{{\pmb{\underline{\blue{Happy\:learning }}{\blue{!}}}}}[/tex]
Find the sum of the first seven prime numbers that have a units digit of 7.
Answers
Answer:
7, 17, 37, 47, 73, 79, 97
Step-by-step explanation:
they have 7's as one of their digits
In the circle below, EG is a diameter and EF is tangent at E. Suppose mEF = 124°. Find the following. Does anyone know this?
Answers
Answer:
Step-by-step explanation:
If EG is a diameter, then arc EFG is a semicircle and its measure is 180. Arc FG then is 180 - 124 = 56. Since angle FEG is an inscribed angle and the arc it cuts off is arc FG, then the measure of the inscribed angle is half the measure of the arc it cuts off...so angle FEG is 28 degrees. Keep that in mind; we'll need it in a sec.
If HE is tangent to the circle at E, then angle HEG is a 90 degree angle. Adding that to angle FEG will give you angle FEH. Angle FEH = 90 + 28 = 118
attachment below or above
Answers
Answer:
840
Step-by-step explanation:
600×140% =840 hope this helps
600 × 140/ 100 = 840 grizzly bears
840 - 600 = 240 grizzly bears
Please answer thanks! Brainliest
Answers
Step-by-step explanation:
The last two answers is correct
Answer:
4
Step-by-step explanation:
The answer to T - H is negative
Simplify the expression. –(10)–2
100
–100
Answers
Answer:
-12, 0
Step-by-step explanation:
Can someone please help me get surface area and lateral surface area
Answers
Answer:
Step-by-step explanation:
suface area of base=1/2×9×7.8=9×3.9=35.1 yd²
lateral surface area=3×1/2×9×10=135 yd²
total surface area=135+35.1=170.1 yd²
i assumed it is an equilateral triangular base.
as √(7.8²+4.5²)=9.0049≈9
Eighty percent of students surveyed said they feel more focused after exercising. Nine hundred fifty students were surveyed.
Students Who Feel More Focused after Exercise
20%
20%
20%
20%
20%
How many students said they feel more focused after exercising?
Answers
Answer:
760
Step-by-step explanation:
HELPPP PLS!! WILL MARK BRAINLIEST!! #plato
Drag each tile to the correct box.
Arrange the entries of matrix A in increasing order of their cofactor values.
Answers
Answer:
a23, a31, a21, a11, a12, a33
Step-by-step explanation: I got it right on Edumentum.
Answer:
a23, a31, a21, a11, a12, a33
Step-by-step explanation:
Lisa and Susan are driving to college together. They look at a map to find out how far they have to drive. On the map, Lisa measures the distance to be 4.5 inches. How many miles do they have to drive if the map scale is 1 in. = 40 mi?
A. 10 miles
B. 220 miles
C. 1/10 miles
D. 180 miles
Answers
Answer:
d 180 miles
Step-by-step explanation:
4.5×40= 180 miles
The actual distance to college Lisa and Susan going together is 180 miles.
What is a scale factor?The scale factor defines a variable in a ratio of two different measurements.
Sometimes drawings of large models are represented in a scale factor of a smaller unit.
Given, The map scale is 1 in. = 40 mi.
Lisa and Susan are driving to college together, On the map, Lisa measures the distance to be 4.5 inches.
Therefore,
The actual distance to college is,
= (4.5×40) miles.
= 180 miles.
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Find B
Plzz find the right answer and don’t just guess
Answers
Answer:
Step-by-step explanation:
using pythagoras theorem
a^2 + b^2 = c^2
B^2 + 8^2 = 15^2
B^2 + 64 + 225
B^2 = 225 - 64
B^2 = 161
B = [tex]\sqrt{161}[/tex] OR 12.7
dylan invested $600 in a savings account at a 1.6% annual interest rate. He made no deposits or withdrawls on the account for 2 years. the intrest was compounded annually find to the nearest cent the balance in the account after 2 years
Answers
Answer:
below
Step-by-step explanation:
that is the procedure above
The balance in the account after 2 years is $619.35.
What is the compund interset?The compound interest for an amount depends on both Principal and interest gained over periods.
Dlan invested $600 in a savings account at a 1.6% annual interest rate.
He made no deposits or withdrawls on the account for 2 years.
The balance in the account after 2 years is given by;
[tex]\rm Amount =Principal(1+rate)^{time}[/tex]
Substitute all the values in the formula
[tex]\rm Amount =Principal(1+rate)^{time}\\\\\rm Amount =600(1+0.016)^2\\\\ Amount =600(1.016)^2\\\\ Amount = 600 \times 1.03\\\\Amount =619.35[/tex]
Hence, the balance in the account after 2 years is $619.35.
Learn more about compound interest here;
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f(x) = 4* and g(x) = 45
Use the values given in the table and the functions to
determine the missing values.
A=
X
f(x)
g(x)
B=
1
-2
C =
16
1
4
-1
UNI->
0
1
1
4
2
2
16
с
Answers
Answer:
The missing values are [tex]A = \frac{1}{4}[/tex], [tex]B = 1[/tex] and [tex]C = 4[/tex], respective.
Step-by-step explanation:
We find the values regarding A, B and C by evaluating [tex]g(x)[/tex] at respective values of [tex]x[/tex]:
[tex]x = -2[/tex]
[tex]g(-2) = 4^{-\frac{2}{2} }[/tex]
[tex]g(-2) = 4^{-1}[/tex]
[tex]g(-2) = \frac{1}{4}[/tex]
[tex]A = \frac{1}{4}[/tex]
[tex]x = 0[/tex]
[tex]g(0) = 4^{\frac{0}{2} }[/tex]
[tex]g(0) = 1[/tex]
[tex]B = 1[/tex]
[tex]x = 2[/tex]
[tex]g(2) = 4^{\frac{2}{2} }[/tex]
[tex]g(2) = 4^{1}[/tex]
[tex]g(2) = 4[/tex]
[tex]C = 4[/tex]
Answer: A=1/4, B=1, C=4
Step-by-step explanation:
Correct on edge 2022
The browns are moving across the counrty. Mr. Brown leaves 2.5 hours before Mrs. Brown, if he averages 75 mph and she averages 85 mph, how many hours will it take Mrs. Brown to catch up to Mr. Brown?
Answers
Answer:
the time taken by Mrs Brown to catch up is 18.75 hours
Step-by-step explanation:
Given;
average speed of Mr Brown = 75 mph
average speed of Mrs Brown, = 85 mph
time first traveled by Mr Brown = 2.5 hours
The distance traveled by Mr Brown before Mrs Brown start her own Journey;
D = speed x time
D = 75 mph x 2.5 h
D = 187.5 miles
Let the time taken by Mrs Brown to catch up = t
(85 - 75)t = 187.5
10t = 187.5
t = 18.75 hours
Check:
after 18.75 hours: Mrs Brown will travel ⇒ 18.75 x 85 = 1593.75 miles
after (2.5 h + 18.75h) : Mr Brown will travel ⇒ 21.25 x 75 = 1593.75 miles
A career-placement test eliminates a profession when a person receives a score of 18 or less. The score is equal to the formula 2x - 3y, where x is the number of positive responses and y is the number of negative responses. Which graph represents the range of test results that would be eliminated under this scenario (all points may not apply to the scenario)?
Answers
Answer:
ITS D GOT 100 ON QUIZE
Step-by-step explanation:
Answer:
its d
Step-by-step explanation:
bc i said so
What is the edge length of
a cube of 1/8 m^3
Answers
Step-by-step explanation:
The volume of a cube is the edge³, so to find the edge, you need to calculate the cubic root of it:
[tex] \sqrt[3]{ \frac{1}{8} } = \frac{1}{2 } [/tex]
A batter gets 6 hits in 12 times at bat. What is the experimental
probability that she will get a hit in her next time at bat?
Answers
Answer:
1/2 or 50% or .5
Step-by-step explanation:
She hits at .500 that's pretty good. I'd take her on my fantasy team.
GIJL is a trapezoid with mid segment of HK. If IJ =7 cm and GL=15 cm, what is the length of HK?
Answers
Consider IJ and GL are the parallel sides of the trapezoid.
Given:
In a trapezoid GIJL, HK is the mid segment, IJ =7 cm and GL=15 cm.
To find:
The length of the mid segment HK.
Solution:
The length of the mid segment of a trapezoid is:
[tex]\text{Midsegment}=\dfrac{b_1+b_2}{2}[/tex]
where, [tex]b_1,b_2[/tex] are two parallel side or bases of the trapezoid.
HK is the mid segment, and the parallel sides are IJ =7 cm and GL=15 cm. So, the length of the mid segment is:
[tex]HK=\dfrac{IJ+GL}{2}[/tex]
[tex]HK=\dfrac{7+15}{2}[/tex]
[tex]HK=\dfrac{22}{2}[/tex]
[tex]HK=11[/tex]
Therefore, the length of HK is 11 units.
What is the radius of a circle with a diameter of 6 meters
Answers
radius = d/2
Hope this helps ;)
Answer:
the radius is 3 m
Step-by-step explanation:
the radius of a circle is always one half of the diameter.
Here the diameter is 6 m, so the radius is 3 m.
