Carter paid $21 000 for a car and later sold it to Sienna for 75% of what he paid. Afterwards, Sienna sold it to her friend Charli for 60% of what she had paid Carter. How much did Charli pay for the car?

To shoot a 20-cm-long arrow parallel to the axle and through the wheel without hitting any spokes, the arrow should be aimed at a point on the circumference of the wheel that is 4 cm away from any spoke.

The diameter of the wheel is 60 cm (2 x radius), so the circumference is 188.5 cm (π x diameter). Since the arrow is 20 cm long, it must pass through the wheel at a point that is at least 20 cm away from any spoke. To find this point, divide the circumference of the wheel by the number of spokes (which is not given in the problem).

Since the spokes are equally spaced, this will give the minimum distance between any two spokes. For example, if there are 6 spokes, the distance between each spoke is 31.4 cm (188.5 / 6). Therefore, the arrow should be aimed at a point on the circumference of the wheel that is 4 cm (20 / 5) away from any spoke.

For more questions like Circumference click the link below:

https://brainly.com/question/28757341

#SPJ11

Answer:

75

its easy

another question

Answer:

14

Step-by-step explanation:

The length of the segment is the distance between the points.

\(|-5-9|=14\)

The required equation that best represents the relationship is p = 0.42n.

A proportional relationship between two variables implies that the proportion of the two variables is consistent.

Since the cost of oranges is directly proportional to the number of oranges purchased, we can write:

p = kn

where k is the constant of proportionality.

We can use the information given to find k:

2.52 = k(6)

k = 0.42

Now we can write the equation that represents the relationship between the cost and the number of oranges purchased:

p = 0.42n

Therefore, the equation that best represents the relationship is p = 0.42n.

Learn more about the directly proportional relationship here:

https://brainly.com/question/14630202

#SPJ9

The missing options would be as:

A.) P=0.42n B.)p=2.52n C.)p=6n D.) p=15.12n

Trevor and Kim will be situated 21 kilometers apart from each other at 1:30 PM. They will be separated by a distance of 21 km when the clock strikes 1:30 in the afternoon.

To determine at what time Trevor and Kim will be 21 km apart, we can set up a distance-time equation based on their relative speeds and distances.

Let's assume that t represents the time elapsed in hours since noon. At time t, Trevor would have traveled a distance of 8t km, while Kim would have traveled a distance of 6t km in the opposite direction.

Since they are running in opposite directions, the total distance between them is the sum of the distances they have traveled:

Total distance = 8t + 6t

We want to find the time when this total distance equals 21 km:

8t + 6t = 21

Combining like terms, we have:

14t = 21

To solve for t, we divide both sides of the equation by 14:

t = 21 / 14

Simplifying, we find:

t = 3 / 2

So, they will be 21 km apart after 3/2 hours, which is equivalent to 1 hour and 30 minutes.

Therefore, Trevor and Kim will be 21 km apart at 1:30 PM.

For more such question on distance . visit :

https://brainly.com/question/30395212

#SPJ8

The value of the fractions in the mixed fraction form is 3(⁷/₉), 4(⁷/₉), and 6(²/₅) respectively.

A mixed fraction is a fraction that is created by fusing a fraction with a whole number. The fraction is defined as the division of the whole part into an equal number of parts.

The given fractions 34/9, 43/9, and 32/5 can be written in the form of the mixed fraction as below:-

To write the fractions in the form of the mixed fraction first divide the fraction by the complete number and put the remainder on the numerator.

34/9 = 3(⁷/₉)

43/9 = 4(⁷/₉)

32/5 = 6(²/₅)

Therefore, the value of the fractions in the mixed fraction form is 3(⁷/₉), 4(⁷/₉), and 6(²/₅) respectively.

To know more about a mixed fraction follow

https://brainly.com/question/1746829

#SPJ1

Answer:

10.9 units

Step-by-step explanation:

Let the hight of the wall be " x ".

( Height = x )

Here,

12 foot ladder is the hypotenuse side.

( Hypotenuse = 12 )

5 feet away is the base side.

( Base = 5 )

Formula : -

Height² + Base² = Hypotenuse²

x² + 5² = 12²

x² + 25 = 144

x² = 144 - 25

x² = 119

x = √119

x = 10.9 approximately

Therefore,

High up the wall does the top of the ladder reach is 10.9 units.

Answer:

a. 1.26

b. 0.1038

Step-by-step explanation:

The p-value is 1.0000 (rounded to four decimal places). This means that we fail to reject the null hypothesis, which in this case would be that the population mean is equal to the sample mean of 26.2.

To find the test statistic, we need to use the formula:

test statistic = (sample mean - population mean) / (standard deviation / square root of sample size)

Since the population standard deviation is given as 6, we can plug in the values:

test statistic = (26.2 - population mean) / (6 / √40)

To find the population mean, we can use the fact that the sample mean is an unbiased estimator of the population mean, so:

population mean = sample mean = 26.2

Plugging in the values, we get:

test statistic = (26.2 - 26.2) / (6 / √40) = 0

The test statistic is 0.

To find the p-value, we need to use a t-distribution table or calculator. Since we have a sample size of 40, we can use the t-distribution with 39 degrees of freedom.

Using a calculator or table, we can find that the area to the right of 0 (since the test statistic is 0) is 0.5. Since this is a two-tailed test, we need to double this value to get the p-value:

p-value = 2 * 0.5 = 1.0000
Learn more about test statistic here: brainly.com/question/14128303

#SPJ11

Answer:

If all the sides of the solid are flat, then it is said to be a polyhedron

Step-by-step explanation:

Given: a polyhedron

To find: attributes of a solid figure to classify it as a polyhedron

Solution:

A polyhedron is a three-dimensional figure with flat faces as polygons. It has straight edges and sharp vertices. It is made by joining polygons together.

If all the sides of the solid are flat, then it is said to be a polyhedron but if the solid has at least one curved side, then it is not a polyhedron.

Answer:

Which polynomial is a monomial?

O A. 2p-P

O B. 6 - 2x2 - 4x2 +45

O c. 5r283A

O D. 1 - 2x + 5x

. 5r283A

Answer:

Step-by-step explanation:

The words "two iles a month" tells us that the expression represened by those words is the "2x" part of the equation. x represents the number of months. The .5 part tells us that he began this process with a half mile.

The surface area generated by revolving the curve y=f(x) on the interval [a,b] about the y-axis is given by the formula:

2π∫[a,b] f(x)√(1+(f'(x))^2) dx

To find the surface area generated by revolving the curve y=f(x) about the y-axis on the interval [a,b], we need to use the formula for the surface area of a surface of revolution.

This formula is derived by dividing the curve into small segments of length dx and approximating the surface area of each segment as a frustum of a cone. The formula for the surface area of a frustum of a cone is:

dA = 2πr √(dr^2 + dz^2)

where r is the radius of the circular cross-section of the frustum, and dz is the height of the frustum.

Using calculus, we can express r and dz in terms of x and dx. The radius of the circular cross-section of the frustum is equal to f(x), and the height of the frustum is equal to dx. Therefore, we have:

r = f(x)

dz = dx

Substituting these values into the formula for the surface area of a frustum of a cone, we get:

dA = 2πf(x) √(1 + (f'(x))^2) dx

To find the total surface area generated by revolving the curve y=f(x) on the interval [a,b] about the y-axis, we need to integrate dA from a to b:

A = ∫[a,b] dA

= ∫[a,b] 2πf(x) √(1 + (f'(x))^2) dx

This is the formula for the surface area generated by revolving the curve y=f(x) on the interval [a,b] about the y-axis.

For more questions like Area click the link below:

https://brainly.com/question/27683633

#SPJ11

Answer:

20>x-7>10

hope it will help you

Answer:

Answer: = 3 acres per day

Showing Work

This is a fraction equal to

3 acres ÷ 1 days

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 1

3 acres ÷ 1

__________

1 days ÷ 1

=

3 acres

_____

1 day

=

3 acres

______

day

= 3 acres per day

Answer:

(5,9)

Step-by-step explanation:

x= 5

y= 2x-1

y= 2(5)-1

y=9

x=5----> (5,9)

The probability of two events being not independent is denoted as p(b|a) or conditional probability. It represents the probability of event B occurring given that event A has already occurred.

Conditional probability, denoted as p(b|a), represents the probability of event B occurring given that event A has already occurred. It measures the dependence between two events. If the conditional probability p(b|a) is not equal to the marginal probability p(b), then the events A and B are not independent.

When two events are independent, the occurrence of one event does not affect the probability of the other event. In this case, p(b|a) would be equal to p(b), indicating that the probability of event B remains the same regardless of whether event A has occurred.

However, if p(b|a) is different from p(b), it suggests that the occurrence of event A influences the probability of event B. This indicates a dependence between the two events, and they are considered not independent.

Learn more about events here:

https://brainly.com/question/30169088

#SPJ11

This bound is achieved when z = e^iθ/2, we have:

|f(z)| ≤ 2|a| + 32   for all

To show that f(z) = az^n + b satisfies f(x) = |a| + 16 whenever |z| < 1, we can substitute z = 2 into f(z) and use the fact that |2| < 1:

f(2) = a(2)^n + b

= 2^n(a+b/2^n)

= 2^n|a(1+(b/a)/2^n)|

= |2^n||a(1+(b/a)/2^n)|

= |a|2^n|1+(b/a)/2^n|

Since |2| < 1, we know that 2^n approaches 0 as n approaches infinity. Therefore, as n becomes very large, the expression inside the absolute value approaches 1, and we get:

f(2) = |a|2^n|1+(b/a)/2^n|

≈ |a|2^n

Since f(2) = |a| + 16, we have:

|a| + 16 ≈ |a|2^n

Taking the limit as n approaches infinity, we get:

|a| + 16 = 0

which is a contradiction. Therefore, we cannot find a value of z such that f(z) = |a| + 16 when |z| < 1.

To find the maximum modulus of f(z) on the domain D = {z E C : |z| < 1}, we can use the maximum modulus principle, which states that the maximum modulus of a holomorphic function on a closed and bounded domain is attained at the boundary of the domain.

If b = 0, then f(z) = az^n, and the maximum modulus of f(z) on D is |a|. This follows from the fact that the modulus of z^n is 1 on the unit circle, so the modulus of az^n is |a| on the unit circle.

If b ≠ 0, then we can write b = a(reiθ), where r = |b/a| and θ = arg(b/a). Let z = e^iθ/2. Then |z| = 1/2, so z is on the boundary of D. We have:

f(z) = az^n + a(reiθ)

= a(z^n + reiθ)

= a(e^iθ/2)^n(2^n + reiθ)

= a(2^n + rcosθ + risinθ)

Taking the modulus of this expression, we get:

|f(z)| = |a||2^n + rcosθ + risinθ|

Since r ≤ |b|/|a| and |b| ≤ |a| + 16, we have:

r ≤ (|a| + 16)/|a|

Therefore, we can bound the modulus of f(z) as follows:

|f(z)| ≤ |a||2^n + (|a| + 16)/|a|(cosθ + isinθ)|

Since cosθ and sinθ vary between -1 and 1, we can find a value of θ such that the expression in the brackets is maximized. This value is θ = ±π/2, so we have:

|f(z)| ≤ |a||2^n + 2(|a| + 16)/|a|

Taking the limit as n approaches infinity, we get:

|f(z)| ≤ 2|a| + 32

Since this bound is achieved when z = e^iθ/2, we have:

|f(z)| ≤ 2|a| + 32

for all

for more questions on domain

https://brainly.com/question/1045262

#SPJ11

The wavelength of the line in the hydrogen atom spectrum corresponding to the n₁ = 2 to n₂ = 6 transition is 4102 nm.

When an electron transitions from a higher to a lower energy level, it discharges a photon of the a specific wavelength. The Rydberg formula describes the connection between the shift in energy level and the wavelength:

\(\frac{1}{\lambda}=R\left(\frac{1}{n_{1}^{2}}-\frac{1}{n_{2}^{2}}\right)\)

Where,

R = Rydberg constant ( = 1.097 × 10⁷ /m)

n₁ =  lower energy level ( = 2)

n₂ = higher energy level ( = 6)

λ = wavelength of emitted photon

Now, according to the question;

Substitute the given values in the formula;

\(\begin{aligned}&\frac{1}{\lambda}=R\left(\frac{1}{n_{1}^{2}}-\frac{1}{n_{2}^{2}}\right) \\&\frac{1}{\lambda}=1.097 \times 10^{7}\left(\frac{1}{2^{2}}-\frac{1}{6^{2}}\right)\end{aligned}\)

\(\begin{aligned}&\frac{1}{\lambda}=2.437 \times 10^{6} \\&\lambda=4.102\times 10^{-6}\end{aligned}\)

λ = 4102 nm.

Therefore, the wavelength of the line in the hydrogen atom spectrum corresponding to the n₁ = 2 to n₂ = 6 transition is 4102 nm.

To know more about Rydberg Formula, here

https://brainly.com/question/13185515

#SPJ4

Answer:

x=2,y=−5

Step-by-step explanation:

The length of the base of the triangle is 16 in.

To find the length of the base of the triangle, we can use the formula for the area of a triangle:

Area = (base× height) / 2

Given:

Area = 24 in²

Height = Base - 13 in

Substituting these values into the formula, we get:

24 = (base × (base - 13)) / 2

To solve for the base, we can rearrange the equation and solve the resulting quadratic equation:

48 = base² - 13base

Rearranging further:

base² - 13base - 48 = 0

Now we can factor the quadratic equation:

(base - 16)(base + 3) = 0

Setting each factor equal to zero and solving for the base:

base - 16 = 0

base = 16

base + 3 = 0

base = -3 (not a valid solution for length)

Therefore, the length of the base of the triangle is 16 in.

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ1

Step-by-step explanation:

start by adding like terms which would gice us

3x+5x=8x so,

8x=32 divide by 8 on both sides so we leave x by itself giving us x=4

Ryan rides his bike for 30 minutes and travels a distance of 4 miles. He was traveling 8 miles per hours.

Ryan rides his bike for 30 minutes and travels a distance of 4 miles.

We have to determine how fast he was traveling.

Time = 30 minutes

First we convert the minutes in hours.

As we know that;

1 hour = 60 minutes.

So 1 minute = 1/60 hours

30 minutes = 30/60 hours

30 minutes = 1/2 hours

Distance = 4 miles

The formula of speed is;

Speed = Distance/Time

Speed = 4/(1/2) miles per hours

Speed = 4 × 2 miles per hours

Speed = 8 miles per hours

To learn more about formula of speed link is here

brainly.com/question/3004254

#SPJ4

Answer:

WYM

Step-by-step explanation:

Answer: The slope of f(x) is less than the slope of g(x) because the slope of f(x) is -3

Step-by-step explanation:

Define slope?

The slope of a line is the ratio of the amount that y increases as x increases some amount. Slope tells you how steep a line is, or how much y increases as x increases. The slope is constant (the same) anywhere on the line.

We can write:

m=(y2-y1) / (x2-x1)

If,

g(x) = 2x - 6

The slope of g(x), m = 2

Let, x1=0

y1=2

x2=-1

Y2=1

So, we take (x1, y1) and (x2, y2) Then consider (0, 2) and (-1, 1)

Solve it:

Replace with x1, y1 and x2, y2

m = [1-(-2)/(-1)]

m=[(1+2) /(-1) ]

m=3/(-1)

m=-3

Thus, the slope of f(x) is less than the slope of g(x) because the slope of f(x) is -3.

Learn more about area here https://brainly.com/question/12353670

#SPJ9

The portion of the ECG that corresponds to repolarization of the atria is not usually visible on a standard ECG. In some cases, abnormalities in the repolarization of the atria may be visible on an ECG as changes in the shape or duration of the T wave.

The standard ECG only records electrical activity that is strong enough to cause depolarization of the ventricles, which creates the QRS complex. The repolarization of the atria occurs during the T wave, which represents ventricular repolarization. Therefore, the repolarization of the atria is usually hidden within the T wave and cannot be specifically identified on a standard ECG.

The electrical activity of the heart is recorded on an ECG as a series of waves and intervals that correspond to specific events in the cardiac cycle. The P wave represents the depolarization of the atria, which causes them to contract and pump blood into the ventricles. The QRS complex represents the depolarization of the ventricles, which causes them to contract and pump blood out of the heart. The T wave represents the repolarization of the ventricles, which allows them to relax and refill with blood. During the cardiac cycle, the repolarization of the atria occurs after their depolarization and contraction. This repolarization wave is very small and weak compared to the depolarization wave, and it is not usually visible on a standard ECG. Instead, the repolarization of the atria is hidden within the T wave, which represents the larger and more prominent repolarization wave of the ventricles.

To know more about ECG visit :-

https://brainly.com/question/31846829

#SPJ11

Answer: The expression (p^20)(p^-4)^2 is equivalent to p^n, where n is the power of p in the simplified expression.

To simplify the expression, we need to use the rule of exponents which states that when multiplying two powers of the same base, we can add their exponents.

So, (p^20)(p^-4)^2 = p^20 * (p^(-4))^2 = p^20 * p^(-8) = p^(20+(-8)) = p^12

So the value of n is 12.

Step-by-step explanation:

Answer:

Their coefficient have the same number but with opposite sign

Step-by-step explanation:

We can tell that the two coefficient will add to zero because they have the same value but opposite signs.

  When two numbers are of the same value but with opposite sign, they add up to zero.

  The given numbers are;

             -2x²   and  2x²

Coefficient is the number before the variable. Here, the variable is x,

            -2x² = -2

               2x² = 2

    -2 + 2  = 0

Answer:

Step-by-step explanation:

Dont do it. Just take the detention