A bicycle is traveling at 20 miles per hour.
How many feet will it cover in 55 seconds?
Round your answer to the nearest tenth of a foot.

9/7 (a)

(b) 1 whole 2/7 is the answer of ur question

Answer:

The confidence interval is  [tex]13.4< \mu < 13.8[/tex]

Step-by-step explanation:

From the question we are told that

   The sample  mean is [tex]\= x = 13.6[/tex]

     The standard deviation is [tex]\sigma = 1.9[/tex]

     The sample  size is  [tex]n = 189[/tex]

given that the confidence level is  85% then the level of significance is mathematically represented as

            [tex]\alpha = (100 - 85 )\%[/tex]

            [tex]\alpha = 0.15[/tex]

Next we obtain the critical value  of [tex]\frac{\alpha }{2}[/tex] from the normal distribution table  the value  is  

      [tex]Z_{\frac{\alpha }{2} } = 1.44[/tex]

Generally the margin of error is mathematically represented as

        [tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }[/tex]

=>     [tex]E = 1.44* \frac{1.9}{\sqrt{189} }[/tex]

=>     [tex]E = 0.1990[/tex]

The  85%  confidence interval is mathematically represented as  

        [tex]\= x - E < \mu <\= x + E[/tex]

=>      [tex]13.6- 0.1990 < \mu < 13.6+ 0.1990[/tex]

=>      [tex]13.4< \mu < 13.8[/tex]

This question is incomplete, the complete question is;

A rocket is launched straight into the air with initial velocity 200 ft/s. Assume the launch is instantaneous. How high will it go, and how long will that take (use time increments of 0.01 seconds)? G= - 32.2 ft/s² , H₀=0 (the ground)

V(t)=V₀ + g t

H(t)= H₀ + V₀ t + ½ g t²

The rocket deploys a parachute after 9 seconds and descends at a constant rate of 20 ft/sec. How long does it take to reach the ground

Answer:

a) maximum height S is 621.12 ft and time taken to reach it is 6.21 sec.

b) The rocket deploys a parachute after 9 seconds and descends at a constant rate of 20 ft/sec,

Time taken to travel t = 24.79 sec

NOW total time taken = 27.55 sec

Step-by-step explanation:

Given that,

initial velocity u = 200 ft/s

acceleration a = 32.2 ft/s²

vertical displacement ( maximum height) S = ?

final velocity at highest point Ц = 0

NOW from the equation of motion

v² - u² = 2as

we substitute

0² - (200)² = 2 (-32.2) × s

s = 621.12 ft

time taken t = (v -u)/a = (0-200)/-32.2

t = (-200) / (-32.2)

t = 6.21 sec

distance traveled by rocket from t=6.21sec to t=9sec

Δt = (9-6.21) = 2.79sec

s = ut + 1/2at²

s = 0 + 1/2(32.2)(2.79)² = 125.32 ft

Remaining distance = 621.12 ft - 125.32 ft = 495.8 ft

Time taken to travel = t = s/v = (495.5ft) / (20 ft/sec)

t = 24.79 sec

NOW total time taken = 2.79sec + 24.79sec = 27.55 sec

Answer:

Negative of 5 exists

It continues in the left part of a number line...

Hence the answer is false it does exist

Ans

8 option b.

Step-by-step explanation:

3+4/2+3

=3+2+3

=5+3

=8

Answer:

600/11

Step-by-step explanation:

scoops of

strawberry= x

chocolate= y

vanilla ice cream= z

X+y+z= 100

The snack bar sold 3 times as many scoops of chocolate as it did strawberry

3x= y

X= y/3

and 2 times as many scoops of

vanilla as it did chocolate

2z= y

Z= y/2

X+y+z= 100

Y/3 + y +y/2 = 100

2y + 6y + 3y = 600

11y= 600

Y= 600/11

Answer: false

Additive identity - the number 0; when added to any number, the value of the number does not change

( one is multiplicative identity )

Answer:

the answers are

13) -6

14) 6

15) -5

16) 3

17) 14

18) -4

19) -15

20) 4

21) 5

22) -12

25.36+5.09+11.45= 41.9$ intotal

Answer:

41,9

Step-by-step explanation:

25.36+5.09+11.45

Answer:

4×(x+8)=25.

use the 4 to multiply the numbers in the bracket.

which is 4x+32=25.

then collect like terms which is...

4x=25-32...

4x=-7.

x=-7/4= -1.75 or -1 whole number 3/4.

Do parentheses first:

6 +4-2 = 8

Now do brackets:

128/8 = 16

Now multiply:

16 x 8 = 128

The answer is 128

Answer:

2513.3

Step-by-step explanation:

cylinder volume = π[tex]r^{2}[/tex]h

cylinder volume = π [tex]20^{2}[/tex](2)

cylinder volume = 2513.27

cylinder volume = 2513.3

Answer:

v=0.104167m/s

Step-by-step explanation:

Given:

s=43.75

t=7min

Required:

v=?

Formula:

v=s/t

t in second

Solution:

1min=60s

7min=7*60s=420s

v=s/t

v=43.75m/420s

v=0.104167m/s

Hope this helps ;) ❤❤❤

Answer:

-8/4-21x

Step-by-step explanation:

Distribute inside the parantheses

Divide -8 and 4

Add the two terms

Simplify

Answer:

Step-by-step explanation:

x- intercept, vertex (v) and axis of symmetry, parabola form:x²+bx+c

vertex(h,k)

f(x)=x²-9  a=1,b=0 ,c=-9

h=-b/2a=0

k=f(0)=-9

vertex(0,-9) , x intercept is when f(x)=0

(x-3)(x+3)=0 either x-3=0⇒ x=3 or x+3=0 then x=-3

x=3, x=-3 (-3,0) and (3,0)

the x of symmetry is the h of the vertex=0

g(x)=x²-2x-3 a=1, b=-2,c=-3

h=-b/2a⇒-(-2)/2(1)⇒h=1

k=f(1)=1²-2(1)-3⇒k=-4

v(1,-4)

x of symmetry=h=1

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

x+1=0⇒x=-1 (-1,0)

x-3=0 ⇒x=3  (3,0)

x intercept :-1,3

vertex(-3,9)

x intercept:(0,0) and (-6,0)

axis of symmetry =-3

vertex(3,-8)

axis of symmetry=3

x intercept : (5,0), (1,0)

vertex(-1/2,1)

x of symmetry=-1/2

x intercept : (0,0)(-1,0)

vertex(3,0)

x intercept (3,0)

axis of symmetry = 3

1. Potential Energy = mgh

h = U_g / (mg) = 14 / (17 * 9.81) = 0.084 m above the ground.

2. Kinetic Energy = 1/2 mv^2

m = 2K_e / (v^2) = 2.45 kg

3. U_g = mgh = (1200)(9.81)(24) = 282528 J

4. U_g = mgh = (478)(9.81)(150) = 703377 J

5. U_g = mgh = (100)(9.81)(12.5) = 12262.5 J

6. h = U_g / (mg) = 14 / (17 * 9.81) = 0.084 m above the ground.

7. m = U_g / (gh) = 1500 /  (9.81 * 35) = 4.37 kg

Answer:

natural numbers - positive integers (whole numbers)

• 1

• 2

• 3

• 4

• 5

whole numbers - a number without fractions

• 10

• 11

• 12

• 13

• 14

rational numbers - a number that can be expressed as the ratio of two integers

• 1/3 or 0.3333...

• 17

• -34

• 25

• -10

integers - a whole number; a value that is not a fraction

• -5

• 49

• 68

• 439

• 35

Answer:

-4 1/2

Step-by-step explanation:

1/3(-15+3/2)

1/3(-13 1/2)

1/3(-27/2)

-27/6

-4 3/6

-4 1/2

Answer:

z^4-z²-20

Step-by-step explanation:

( z^2 + 4 ) ( z^2 – 5)

z^4+4z²-5z²-20

z^4-z²-20

Answer: About 88 inches

=============================================

Explanation:

Find the circumference

C = pi*diameter

C = (22/7)*28

C = 88

The tire's circumference is approximately 88 inches. This is the perimeter or distance around the circle. As the bike moves forward one full rotation of the wheel, all of the wheel will touch the ground at some point. The bike will move about 88 inches forward when the wheel does one full rotation.

A good way to visualize this is to imagine cutting the tire so that you can unroll it to lay it out completely flat forming a straight line. This line will be roughly 88 inches long.

Answer:

first answer

Step-by-step explanation:

Hello, you know that

[tex]\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\cdot \dfrac{d}{c}[/tex]

So, the quotient we need to estimate is

[tex]\begin{aligned}\dfrac{x^2-36}{x+8}\cdot\dfrac{4x+32}{x^2+12x+36}&=\dfrac{x^2-6^2}{x+8}\cdot \dfrac{4(x+8)}{(x+6)^2}\\\\&=\dfrac{4(x-6)(x+6)}{(x+6)^2}\\\\&=\dfrac{4(x-6)}{x+6}\end{aligned}[/tex]

Thank you

Answer:

5

Step-by-step explanation:

Answer:

X = -1

Y = 1

Step-by-step explanation:

The solution of the equations x = 6y - 7 and 4x + y = -3 will be (-1, 1).

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The linear equation is given below.

x = 6y - 7           ...1

4x + y = - 3       ...2

Simplify the equation, then we have

4(6y - 7) + y = -3

24y - 28 + y = - 3

25y = 25

y = 1

The value of the variable 'x' will be calculated as,

x = 6(1) - 7

x = 6 - 7

x = - 1

The solution of the equations x = 6y - 7 and 4x + y = -3 will be (-1, 1).

More about the solution of the equation link is given below.

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Answer:

[tex]\Large \boxed{\frac{5}{4} }[/tex]

Step-by-step explanation:

The slope - intercept form of a line is written in the form :

[tex]\sf y = mx+b \\ \\ \\ m=slope \\ \\ b=y-intercept[/tex]

The slope of the line is 5/4.

Answer:

1079

Step-by-step explanation:

Hello,

18-5 = 13

31-18=13

44-31=13

161=5+13*12

So we need to compute

[tex]\displaystyle \sum_{k=0}^{k=12} \ {(5+13k)}\\\\=\sum_{k=0}^{k=12} \ {(5)} + 13\sum_{k=1}^{k=12} \ {(k)}\\\\=13*5+13*\dfrac{12*13}{2}\\\\=65+13*13*6\\\\=65+1014\\\\=1079[/tex]

Thanks

The required sum of the arithmetic series 5+18 +31 +44 + ... 161 is 1079.

Given that,
Arithmetic series: 5+18 +31 +44 + ... 161.

The Sum of the series is to be determined.

Arithmetic progression is the series of numbers that have common differences between adjacent values

Here,
From the given series
First term A = 5, Common difference D = 13 and last term L = 161
Last term = An + (n -1)
161 = 5 + (n - 1)13
n - 1 = (161 - 5) / 13
n = 12 + 1
n = 13

Now the sum of an arithmetic series,
S = n /2 (A + L)
S = 13 / 2 (5 + 161)
S = 13 / 2 * 166
S = 13 * 83
S = 1079

Thus, the required sum of the arithmetic series 5+18 +31 +44 + ... 161 is 1079.

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Answer:

Here is your solution-

x³ times x⁷

means, x³×x⁷

Here you just have to add the powers as aⁿ×aᵐ=aⁿ⁺ᵐ

x³⁺⁷

x¹⁰

Answer:

10/25

Step-by-step explanation:

2/5 = x/25

We need to multiply the bottom by 5 to get to 25

5*5 = 25

What we to the bottom, we do the the top

2/5 * 5/5 = 10/25

Answer:

10/25

Step-by-step explanation:

2/5 = x/25

cross multiply

2 • 25 = 50

5 • x = 5x

set equal to each other

5x = 50

divide both sides by 5

x = 10

Answer:

x=35 hrs

1 hour =105

cross mutiply

105÷35=3

The equation that describes the situation is 35x = 105.

An equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.

The equations are useful in the determination of unknown parameters.

The equations are of various types, such as Trigonometric equations, and quadratic equations.

William drove 35 miles per hour for a total of 105 miles.

The total miles William drove is 105 miles.

The speed at which he drove is 35 miles/ hour.

The total time he drove is given by x hours.

The equation has to be formed for this situation.

Speed is defined as the distance traveled with respect to time.

35 = 105 / x

35x = 105

This equation describes the given situation.

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