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Nadusha1986 [10]
2 years ago
11

Connor can travel 2 3/4 miles in 2 1/2 hours. What is his average speed in miles per hour?

Mathematics
1 answer:
mars1129 [50]2 years ago
8 0

Answer:

C 1.1 mph

Step-by-step explanation:

Divide 2 3/4 by 2 1/2 to get 1.1

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Two objects are moving along separate linear paths where each path is described by position, d, and time, t. The variable d is m
Leni [432]

Answer:

it would start at 2.2 on the y axis and go up 2.5 and over 1

Step-by-step explanation:

4 0
3 years ago
in pennsylvania the percent of sales tax is 6%, what is the sales tax on a skateboard that costs $98?
Stells [14]

Answer:

$103.88

Step-by-step explanation:

$98 + 6% is 103.88.

6 0
3 years ago
The zeros of the function f(x)=(x+2)^2 - 25 are?
zloy xaker [14]
<u>Zeros of the function</u>
f(x) = (x + 2)² - 25
f(x) = (x + 2)(x + 2) - 25
f(x) = x(x + 2) + 2(x + 2) - 25
f(x) = x(x) + x(2) + 2(x) + 2(2) - 25
f(x) = x² + 2x + 2x + 4 - 25
f(x) = x² + 4x + 4 - 25
f(x) = x² + 4x - 21
x² + 4x - 21 = 0
x = <u>-(4) +/- √((4)² - 4(1)(-21))</u>
                      2(1)
x = <u>-4 +/- √(16 + 84)</u>
                   2
x = <u>-4 +/- √(100)
</u>               2<u>
</u>x = <u>-4 +/- 10
</u>            2<u>
</u>x = -2 <u>+</u> 5<u>
</u>x = -2 + 5    x = -2 - 5
x = 3           x = -7
f(x) = x² + 4x - 21
f(3) = (3)² + 4(3) - 21
f(3) = 9 + 12 - 21
f(3) = 21 - 21
f(3) = 0
(x, f(x)) = (3, 0)
or
f(x) = x² + 4x - 21
f(-7) = (-7)² + 4(-7) - 21
f(-7) = 49 - 28 - 21
f(-7) = 21 - 21
f(-7) = 0
(x, f(x)) = (-7, 0)

<u>Vertex</u>
<u>X - Intercept</u>
<u />-b/2a = -(4)/2(1) = -4/2 = -2

<u>Y - Intercept</u>
y = x² + 4x - 21
y = (-2)² + 4(-2) - 21
y = 4 - 8 - 21
y = -4 - 21
y = -25
(x, y) = (-2, -25)
<u />
5 0
3 years ago
Read 2 more answers
A potential energy function is given by U = A x3 + B x2 − C x + D . For positive parameters A, B, C, D this potential has two eq
Ivenika [448]

Answer:

7.8655

Step-by-step explanation:

Given the functionl

U=Ax^3+Bx^2-cx+D

Where,

A=1.45J/m^3\\B=2.85J/m^2\\c= 1.7J/m\\D=0.6J

We have, replacing,

U=1.45x^3+2.85x^2-1.7x+0.6

We need to derivate and verify for stable equilibrum that,

\frac{d^2 U}{dx^2}>0

Then,

U'(x) = 4.32x^2+5.7x-1.7

Roots in,

x_1=-1.57008\\x_2=0.250636

We obtain U"(x), then we have

\frac{d^2U}{dx}=8.64x+5.7

For x=-1.57, U"(x)=-7.86549 Unestable

For x=0.250636 U"(x)=7.8655>0 Stable

7 0
3 years ago
A square has side length represented by X +4 inches write an expression to represent the area. Express your answer as a trinomia
romanna [79]

Answer:

A=(x^2+16+8x)\ \text{inches}^2

Step-by-step explanation:

Given that,

The side length of a square, l = (x+4) inches

We need to find an expression to represent the area of the square.

The area of a square is given by :

A=\text{side}^2

So,

A=(x+4)^2\\\\A=(x^2+16+8x)\ \text{inches}^2

So, the area of the square is (x^2+16+8x)\ \text{inches}^2.

7 0
3 years ago
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