a bicycle tire has a diameter of 18 in. how many feet does the bicycle travel when the wheel makes 22 revolutions? round to the nearest hundredth of a foot.

The function V(t) to represent the value of the coin at time t in days.

V(t) = \(2^t\)

To model the value of the Doubling Coin over time, we can use an exponential function.

The value of the coin doubles every day: This doubling pattern is best captured by an exponential function, where the base (2 in this case) represents the rate of growth.

Constant relative growth rate: In an exponential function, the rate of growth or decay is constant. In this case, the coin's value doubles consistently each day, indicating a constant relative growth rate.

Therefore, the function V(t) = \(2^t\) is an appropriate choice to model the value of the Doubling Coin over time.

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Answer:  -5x^3 -13x^2 -6x + 15ix + 39ix + 18i

Step-by-step explanation:

An equation with zeros at these numbers could be put in form x = number.

So, (x-3) could be set to 0 to get x=3.

So, you can look at these "answers" they give you and work backward to get:

(x-3)(x+2/5)(x-3i)

Multiply first two together.

x^2+2/5x-3x-6/5

simplify

x^2 - 2 3/5x -6/5

Change first term to have same denominator by multiplying by "1" in the form of -5/-5

-5x^2/-5 - 13/5x -6/5

Divide all terms by 1/5 (which is the same as multiplying each term by 5)

(-5x^2 -13x -6)

Now multiply by (x-3i)

-5x^3 -13x^2 -6x + 15ix + 39ix + 18i

Answer:

9/4

Step-by-step explanation:

Take the fraction and flip it

4/9

The reciprocal is 9/4

Answer:

9/4

Step-by-step explanation:

A reciprocal is just the inverse of the number. Just flip it over.

4/9 flipped over is 9/4.

Hope this helped:)

Answer:

Linked below.

Step-by-step explanation:

To solve, first line up your numbers. Then, multiply the ones place of the digit by the numbers on top individually. Write this below.

Do the same with all other places except add a zero each time there is one more row.

Answer:

29% chance that it will be male

Answer:it’s (2,5)

Step-by-step explanation:

Answer:

-6.13406 and 61.13406

Step-by-step explanation:

x + y = 55

x × y = -375

y = 55 - x

x × (55 - x) = -375

55x -x² = -375

x² - 55x - 375 = 0

solution of a quadratic equation :

x = (-b ± sqrt(b² - 4ac))/(2a)

a=1

b=-55

c=-375

x = (55 ± sqrt(55² + 4×375))/2 = (55 ± sqrt(4525))/2 =

= (55 ± sqrt(25 × 181))/2 = (5×11 ± 5×sqrt(181))/2 =

= 5/2 × (11 ± sqrt(181)) =

= 61.13406... or -6.13406...

y = 55 - 5/2×(11 ± sqrt(181)) = 55/2 ± 5/2×sqrt(181) =

= -6.13406... or 61.13406...

The total electric charge on the solid bounded by the cone z=−sqrt(x^2+y^2) and the plane z=−2, given that the charge density σ is σ(x,y,z)=z2. we have the correct option A) 7π/5 is wrong and the answer to this problem is 4/3. Therefore, we conclude that the answer is 4/3.

The charge density σ is given by the equation σ(x,y,z)=z². The solid bounded by the cone z=−sqrt(x²+y²) and the plane z=−2 can be expressed in cylindrical coordinates by:r: 0 to 2θ: 0 to 2πz: -2 to -rThe total charge can be calculated as:Q = ∫∫∫ σ(x,y,z) dVQ = ∫0²∫0²∫-r⁻² z² r dz dθ drQ = ∫0²∫0² r (2-r²) dθ drQ = ∫0² 2r (2-r²) drQ = 4/3The total electric charge on the solid bounded by the cone z=−sqrt(x²+y²) and the plane z=−2 is 4/3. Therefore, the correct option is the letter A) 7π/5.**Explanation:** From the above explanation, we have the correct answer as 4/3 but the options given are not matching with the answer obtained. Therefore, let us solve again and obtain the correct answer.Integration is as follows,Q=∫∫∫ z² dx dy dz

Rearranging the equation of the cone, we have:z=−sqrt(x²+y²)So, x²+y² = z² .............(i)

In polar coordinates,x²+y² = r², so we can say r = zIn cylindrical coordinates,x = rcosθ and y = rsinθ

Substitute this into equation (i), r² = z²So, z = ± rWe can use the limits z=−r and z=−2 for our calculations.Thus, the integral becomes, Q=∫∫∫ z² dx dy dz=∫∫∫ r² × r dr dθ dzBy using limits, we get:0≤θ≤2π−2≤z≤−r≤r≤2Thus,Q=∫∫∫ r³ dr dθ dz=∫0² ∫0² ∫−r^(−2) r³ dz dθ dr=∫0² ∫0² −r⁵/5 dθ dr=∫0² 2π. (-2/15) dr=4/3

Finally, we have the correct option A) 7π/5 is wrong and the answer to this problem is 4/3. Therefore, we conclude that the answer is 4/3.

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Answer:

I think x = -8. Hope this helps!! :)

Answer:

The original function is an exponential growth function, and so is a new function, but it will be translated in to  2 units.

Step-by-step explanation:

The first function will have a horizontal asymptote at y = 0 and the second function will have a horizontal asymptote at y = 22.

Given differential equation is `dy/dx = y(x) = 7√x - 3x√x + 6` and the particular point is `(1,4)`To find the particular function y(x) that satisfies the given differential equation, we need to solve the differential equation with the help of integration.

Separate the variables and integrate both sides with respect to x.∫`1/y dy =` ∫`(7√x - 3x√x + 6) dx`Taking integral, we get: `ln|y| + C = 2(√x)^3 - 3(√x)^2 + 6x + C_1` Here, C and C1 are the constants of integration.

Combining both of them we get:C2 = C1 − C where

C2 = constant of integration

= `ln|y|` − `2(√x)^3 + 3(√x)^2 − 6x`

Putting x = 1 and y = 4, we get: `ln(4) - 2 + 3 - 6 = C_2`=> `

ln(4) - 5 = C_2`

So, the required particular function is: Putting the value of `C_2` back into the equation and then simplifying it Taking antilogarithm on both sides Therefore, the particular function is: `y = ± e^(2√x(x + 3) − 5)`

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Answer:

30 min

Step-by-step explanation:

1 butcher can prepare 1 cows in 2 hours

2 can prepare twice as fast 2/2=1 hour

4 can prepare 4 times as fast 2 hours/4=30 min

Check work

30 min*4=120 min=2 hours

Answer:

Down below

Step-by-step explanation:

There are 3 feet in 1 yard which makes it have a value of one.

3ft = 1yd

Best of Luck!

Answer:

X/2 = 61.2

X=122.4

Step-by-step explanation:

Ok so we know that a number was halved so we can use x and equaled to 61.2 so we can do x/2 = 61.2

Answer:

a) \(a_n=3\,n-11\)

b) \(a_{20}=49\)

c) term number 17 is the one that gives a value of 40

Step-by-step explanation:

a)

The sequence seems to be arithmetic, and with common difference d = 3.

Notice that when you add 3 units to the first term (-80, you get :

-8 + 3 = -5

and then -5 + 3 = -2 which is the third term.

Then, we can use the general form for the nth term of an arithmetic sequence to find its simplified form:

\(a_n=a_1+(n-1)\,d\)

That in our case would give:

\(a_n=-8+(n-1)\,(3)\\a_n=-8+3\,n-3\\a_n=3n-11\)

b)

Therefore, the term number 20 can be calculated from it:

\(a_{20}=3\,(20)-11=60-11=49\)

c) in order to find which term renders 20, we use the general form we found in step a):

\(a_n=3\,n-11\\40=3\,n-11\\40+11=3\,n\\51=3\,n\\n=\frac{51}{3} =17\)

so term number 17 is the one that renders a value of 40

Answer:

GCF= 11

Step-by-step explanation:

Answer: c)

Step-by-step explanation: 3x square + 1 x square = 4 x square

-8x + 5x = -3x

10 - 6 = 4

Therefore the answer is option c) 4x square - 3x + 4

hope this helps...

Answer:

C

Step-by-step explanation:

3x^2+x^2= 4x^2

5x-8x= -3x

-6+10= 4

Answer:

Step-by-step explanation:

hello :

the cannonball hit the ground when h=0

-5t² + 40t=0 means : -5t(t- 8)=0

t=8

The pieces of cloth are beyond the standard at 0.05 level of significance.

We can use a one-sample t-test to determine if the mean length of the 35 pieces of cloth is significantly different from the standard length of 3.25 meters.

The null hypothesis is that the mean length of the cloth pieces is equal to the standard length:

H0: μ = 3.25

The alternative hypothesis is that the mean length of the cloth pieces is greater than the standard length:

Ha: μ > 3.25

We can calculate the test statistic as:

t = (x - μ) / (s / √n)

where x is the sample mean length, μ is the population mean length (3.25 meters), s is the sample standard deviation (0.52 meters), and n is the sample size (35).

Plugging in the values, we get:

t = (3.52 - 3.25) / (0.52 / √35) = 3.81

Using a t-table with 34 degrees of freedom (n-1), and a significance level of 0.05 (one-tailed test), the critical t-value is 1.690.

Since our calculated t-value (3.81) is greater than the critical t-value (1.690), we reject the null hypothesis and conclude that the mean length of the 35 pieces of cloth is significantly greater than the standard length at the 0.05 level of significance.

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Answer:

See below and attachment

Step-by-step explanation:

Given function:

The graph is attached and the axis of symmetry and all the required points plotted

a) Axis of symmetry:

b) It has no minimum as the leading coefficient is negative.

c) and d) x - and y - intercepts already given in the question

e) Domain is all real numbers. x = ( -∞, +∞ )

Range is y = ( - ∞, 4]

The equation of the line perpendicular to the tangent to the curve y=x^3-4x+1 at the point (2,1) is y = (-1/8)x + 9/8.

To find the equation of the line perpendicular to the tangent to the curve at (2,1), we need to first find the slope of the tangent line at that point.

The derivative of y=x^3-4x+1 is y'=3x^2-4, so the slope of the tangent line at (2,1) is y'(2) = 3(2)^2-4 = 8.

Since we want the line perpendicular to the tangent, we know that its slope will be the negative reciprocal of the tangent's slope. Therefore, the slope of the line we're looking for is -1/8.

Next, we use the point-slope form of the equation of a line to write the equation of the line with the slope we found and passing through the point (2,1):

y - 1 = (-1/8)(x - 2)

Simplifying and putting the equation in slope-intercept form:

y = (-1/8)x + 9/8

Therefore, the equation of the line perpendicular to the tangent to the curve y=x^3-4x+1 at the point (2,1) is y = (-1/8)x + 9/8.

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The answer fam is............ 20

9 divided by 3 is 3, 2 times 6 = 12

3+12+5=20

Answer:

Answer is 20 The simplified equation is 3+12+5

Step-by-step explanation:

since g =3 and h=6 we get 9/3 + 2(6) + 5 which makes 9/3= 3 and 2(6)=12 so it is simplified to 3+12+5 all added we get 20.

Hope I could Help.

Answer: 218.5

Step-by-step explanation:

Detailed steps are shown in the attached document below.

According to the solving Probability the value are as follows;

a) P(Blue)= 0/10

b) P(Red)= 5/10

c) P(Red or Yellow)= 9/10

Since, We know that;

The definition of probability is "How likely something is to happen."

Probability is indeed a number ranging from 0 to 1 that expresses the likelihood that an event will take place as specified.

First, 0 < P(E) < 1

where, P(E) specifies the probability of an event E) and second, the sum of the probabilities of any collection of mutually and exclusive exhaustive occurrences equals 1 are the two characteristics that define a probability.

According to the given data:

We have a Bag of marbles has 4 yellow, 5 red, and 1 purple.

Total balls in a bag= 4+5+1=10 balls.

Something that is IMPOSSIBLE to happen.

P(Blue)= 0/10

Something that is EQUALLY LIKELY to happen.

P(Red)= 5/10

Something that is LIKELY to happen.

P(Red or Yellow)= 9/10

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Answer:

3 miles

Step-by-step explanation:

1/8*24=3

Answer:

Step-by-step explanation:

He ran 24 times around the track1

Circumfrence of track=1/8 Mile

Total distance he covered=1/8*24

Distance = 3 miles

This equation implies that as the length of the rectangle increases, the width decreases, and vice versa. the width of the rectangle varies inversely with its length, and the constant of variation is 48.

To write the inverse variation equation for this scenario, we need to identify the constant of variation. In an inverse variation, the product of the width and length is always constant.

Given that the width (w) is 4 and the length (L) is 12, we can write the equation as follows:

w * L = k

Plugging in the values, we get:

4 * 12 = k

48 = k

So, the constant of variation (k) is 48.

Now, we can write the inverse variation equation:

w * L = 48

The inverse variation equation for this scenario is w * L = 48. This equation implies that as the length of the rectangle increases, the width decreases, and vice versa. In conclusion, the width of the rectangle varies inversely with its length, and the constant of variation is 48.

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