1answer.
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
pantera1 [17]
3 years ago
8

I need help solving this!

Mathematics
1 answer:
blagie [28]3 years ago
3 0

Answer:

miles hybrid car went = 9.80 gal × 54.1 miles/gal

= 530.18 miles

132km × 0.621 = 81.972 miles

530.18 miles = 9.80 gal

1 mile = 9.80/530.18

= 0.018 gal

81.972 miles = 0.018 × 81.972

= 1.515 gal

1.515 gal × 3.785 = 5.734 litres

You might be interested in
f(x) is a quadratic function with x-intercepts at (−1, 0) and (−3, 0). If the range of f(x) is [−4, [infinity]) and g(x) = 2x^2
iren2701 [21]

Answer with Step-by-step explanation:

We are given that function f(x) which is quadratic function.

x -intercept of function f(x) at (-1,0) and (-3,0)

x-Intercept of f means zeroes of f

x=-1 and x=-3

Range of f =[-4,\infty)

g(x)=2x^2+8x+6=2(x^2+4x+3)

g(x)=0

2(x^2+4x+3)=0

x^2+4x+3=0

x^2+3x+x+3=0

x(x+3)+1(x+3)=0

(x+1)(x+3)=0

x+1=0\implies x=-1

x+3=0\implies x=-3

Therefore, x-intercept of g(x) at (-1,0) and (-3,0).

Substitute x=-2

g(-2)=2(-2)^2+8(-2)+6=8-16+6=-2

g(x)=2(x^2+4x)+6

g(x)=2(x^2+2\times x\times 2+4-4)+6=2(x^2+2\times x\times 2+4)-8+6

g(x)=2(x+2)^2-2

By comparing with the equation of parabola

y=a(x-h)^2+k

Where vertex=(h,k)

We get vertex of g(x)=(-2,-2)

Range of g(x)=[-2,\infty)

Zeroes of f and g are same .

But range of f and g are different.

Range of f contains -3 and -4 but range of g does not contain -3 and -4.

f and g are both quadratic functions.

3 0
3 years ago
Which of the following expressions are equivalent? Justify your reasoning.. . a.4√x3. . 1. x−1. . b.10√x5•x4•x2. . c.x. 1. 3. •x
sladkih [1.3K]
A ) \sqrt[4]{ x^{3} } = x^{3/4}
B ) \frac{1}{ x^{-1} } = x
C ) \sqrt[10]{ x^{5} * x^{4}* x^{2}  } = \sqrt[10]{ x^{11} }= x^{11/10}
D ) x^{1/3} * x^{1/3} * x^{1/3} = x
Therefore: B = D
7 0
3 years ago
The area of the square, the
const2013 [10]

Answer:

B.

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

As given in the question, we know that:

The ratio of the area of the circle to the area  of the square is π/4

  • The formula to find the volume of the cone is:

V = 1/3*the height*the base area

<=> V1 = 1/3*h*πr^{2}

  • The formula to find the volume of the pyramid is:

V2 = 1/3*the height*the base area

<=> V =  1/3*h*4r^{2}

=> the ratio of volume of the cone to the pyramid is:

= \frac{V1}{V2}

= (1/3*h*πr^{2} ) / ( 1/3*h*4r^{2} )

= π/4

S we can conclude that the volume of the cone equals π/4  the volume of the  pyramid

Hope it will find you well.

7 0
3 years ago
Alex bought string for $125. Other materials for $18. What is the total cost to make 50 puppets?
Lesechka [4]
(125+18) 50 = $7,150
6 0
3 years ago
Find the distance between the points R(0,5) and S(12,3). round the answer to the nearest tenth
Burka [1]
12.2

((12) - (0))^2 + ((3) - (5))^2



    
5 0
3 years ago
Other questions:
  • Thomas creates the table shown to represent the function ƒ(x) = x2 + 3x - 10. determine the zeros of the equation.
    15·1 answer
  • 1)
    8·2 answers
  • 624,836+282,189 what is the <br> estimate
    6·1 answer
  • What two numbers multiplies to 16 and adds to -17?
    15·1 answer
  • What is the simplified expression for the expression below?<br>-3 (5x+20) - 1/4(4x-28)​
    8·1 answer
  • Use the stem and leaf plot above to answer the following question.
    10·1 answer
  • "A 12​-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the pavement directly away from t
    6·1 answer
  • Org/profile/kaid 327824130468600137828620/assignments/teacher/kaid 481681461105632011583113/class/600571
    14·1 answer
  • Find the measure of each exterior angle of the regular polygon.
    10·2 answers
  • Find the surface area of the equilateral triangular prism below.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!