answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jarptica [38.1K]
1 year ago
15

Five minivans and three trucks are traveling on a 3.0 mile circular track and complete a full lap in 98.0, 108.0, 113.0, 108.0,

102.0, 101.0, 85.0, and 95.0 seconds, respectively. Assuming all vehicles are traveling at constant speeds, what is the time-mean speed of the minivans
Mathematics
1 answer:
Alex1 year ago
7 0

Answer:

The time-mean speed of the minivans is of 105.8 seconds.

Step-by-step explanation:

Mean of a data-set:

The mean of a data-set is the sum of all values in the data-set divided by the number of values.

Five minivans, times of: 98.0, 108.0, 113.0, 108.0, 102.0, in seconds.

Thus, the mean is:

M = \frac{98 + 108 + 113 + 108 + 102}{5} = 105.8

The time-mean speed of the minivans is of 105.8 seconds.

You might be interested in
A new car is purchased for 15300 dollars. The value of the car depreciates at 14.25% per year. What will the value of the car be
Andrei [34K]

Answer:

\$6,082.70  

Step-by-step explanation:

we know that

The  formula to calculate the depreciated value  is equal to  

V=P(1-r)^{x}  

where  

V is the depreciated value  

P is the original value  

r is the rate of depreciation  in decimal  

x  is Number of Time Periods  

in this problem we have  

P=\$15,300\\r=14.25\%=0.1425\\x=6\ years

substitute in the formula

V=15,300(1-0.1425)^{6}  

V=15,300(0.8575)^{6}  

V=\$6,082.70  

3 0
2 years ago
A package of hamburgers contains 8 patties and costs $7.50. Part A.) Luna has to buy at least 16 packages for an upcoming picnic
Rus_ich [418]

Answer:

Part A) p\geq 128\ patties

Part B) She will spend more than \$142.50

Step-by-step explanation:

Let

p-----> the number of hamburger patties

Part A) Luna has to buy at least 16 packages for an upcoming picnic

p\geq 16*8

p\geq 128\ patties

Part B) Suppose she actually needs more than 150 hamburgers. How much will she spend?

Let

c---------> the total cost

step 1

Divide 150 hamburgers by 8 (a package of hamburgers)

so

\frac{150}{8} =18.75\ package

round to the nearest whole number

18.75=19\ package----> the minimum number of packages

step 2

c>19*\$7.50

c>\$142.50

7 0
2 years ago
Match each three-dimensional figure to its volume based on the given dimensions. (Assume π = 3.14.)
LekaFEV [45]

Answer:

The volume of the cylinder is 150.72 cm³ ⇒ last answer

The volume of the cone is 314 cm³ ⇒ 1st answer

The volume of the pyramid is 160 cm³ ⇒ 2nd answer

The volume of the pyramid is 48 cm³ ⇒ 3rd answer

Step-by-step explanation:

* Lets revise the volumes of some shapes

- The volume of the cylinder of radius r and height h is:

 V = π r² h

- The volume of the cone of radius r and height h is:

 V = 1/3 π r² h

- The volume of the pyramid is:

 V = 1/3 × its base area × its height

* Lets solve the problem

# A cylinder with radius 4 cm and height 3 cm

∵ V = π r² h

∵ π = 3.14

∵ r = 4 cm , h = 3 cm

∴ v = 3.14 (4)² (3) = 150.72 cm³

* The volume of the cylinder is 150.72 cm³

# A cone with radius 5 cm and height 12 cm

∵ V = 1/3 π r² h

∵ π = 3.14

∵ r = 5 cm , h = 12 cm

∴ V = 1/3 (3.14) (5)² (12) = 314 cm³

* The volume of the cone is 314 cm³

# A pyramid with base area 16 cm² and height 30 cm

∵  V = 1/3 × its base area × its height

∵ The area of the base is 16 cm²

∵ The height = 30 cm

∴ V = 1/3 (16) (30) = 160 cm³

* The volume of the pyramid is 160 cm³

# A pyramid with square base of length 3 cm and height 16 cm

∵  V = 1/3 × its base area × its height

∵ The area of the square = s²

∵ The area of the base = 3² = 9 cm²

∵ The height = 16 cm

∴ V = 1/3 (9) (16) = 48 cm³

* The volume of the pyramid is 48 cm³

3 0
1 year ago
Read 2 more answers
Terri is analyzing a circle, y2 + x2 = 36, and a linear function g(x). Will they intersect? y2 + x2 = 36 g(x) graph of the funct
Dovator [93]
The correct answer to this question is "Yes, at negative and positive x-coordinates or zero."

Terri is analyzing a circle, y2 + x2 = 36, and a linear function g(x). The graph will intersect <span>at negative and positive x-coordinates or zero </span>
y2 + x2 = 36 g(x) graph of the function y squared plus xsquared equals 36 x 

g(x) −4 −4 −2 −2 2 2 
6 0
2 years ago
Read 2 more answers
Triangle A C D is shown. Point B is near the center of the triangle. Angle A C D is bisected by line segment C B. Lines are draw
astraxan [27]

Answer:

m∠ABC = 125° and AB ≅ DB, ΔACD is isosceles with base AD, CD = 52 cm

Step-by-step explanation:

i just took the quiz

3 0
1 year ago
Read 2 more answers
Other questions:
  • Bethany can mow her family’s lawn in 4 hours. Her brother Colin can mow the lawn in 3 hours. Which equation can be used to find
    13·2 answers
  • Whole numbers greater than 10 but less than 20
    5·2 answers
  • Mr. Townes created a 2-foot wide garden path around a circular garden. The radius of the garden is 7 feet. He wants to cover the
    9·1 answer
  • A shape is covered by 40 unit squares. What is the area of the shape
    5·1 answer
  • To start the school year, a teacher spends $54.35 in school supplies for her classroom. During the course of the year, she will
    11·1 answer
  • Choose the function whose graph is given by:
    10·2 answers
  • Find a matrix P such that PTAP orthogonally diagonalizes A. Verify that PTAP gives the proper diagonal form. (Enter each matrix
    14·1 answer
  • At the start of the week, Monique's savings account had a balance of $326. She made a $45 withdrawal each day for seven days. Du
    6·1 answer
  • CyberCafe charges a computer station rental fee of $5 plus $0.20 for each quarter hour spent surfing. Which expression represent
    14·1 answer
  • Leo is constructing a tangent line from point Q to circle P. What is his next step?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!