Which of the following scenarios represents a possible impulse purchase?

Tim budgets for his scooter and decides to purchase the scooter through a dealership offering 0% interest to first time buyers.

Tim purchases the scooter of his dream by financing the entire cost of the scooter with a high interest bank loan.

Tim researches interest rates on the purchase of a new scooter before deciding against making the purchase.

Tim researches interest rates on the purchase of a new scooter before deciding to make a purchase.

Using the conversion factors 5 miles= 8 kilometres and 2 gallons=9 litres the 54 miles per gallon into kilometres per litre is 19.2 km/L.

We have to convert 54 miles per gallon into kilometres per litre(km/l).

Given,

5 miles= 8 kilometres

2 gallons=9 litres.

These are the conversion factors to solve the problem. Using this conversion factors we have to find the equivalence of 54 miles per gallons in km/l.

From the given information we have,

54 miles/gallon x 8 km/5 miles x 2 gallons/ 9 litres

Canceling the units in the numerator and denominator we get.

=54 x 8km/5 x 2/9 litres

which will give us the value for km/l

Multiplying the denominators we get,

=54x8x2/45 km/l

=864/45 km/l

=19.2 km/l

Hence, the conversion of 54 miles per gallon into kilometres per litre is 19.2.

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Given the volume of the sphere as 26667 cm³, we calculated the radius to be approximately 17.7 cm using the formula for the volume of a sphere. By multiplying the radius by 2, we found that the diameter of the sphere is approximately 35.4 cm.

To calculate the diameter of a sphere when given its volume, we can use the formula for the volume of a sphere:

V = (4/3) * π * r³

Where V is the volume and r is the radius of the sphere. Since we are given the volume, we can rearrange the formula to solve for the radius:

r = (\(\sqrt[3]{(3V / (4\pi )}\)))

Substituting the given volume V = 26667 cm³ into the formula, we have:

r = (\(\sqrt[3]{(3 * 26667 / (4\pi )))}\)

Calculating this expression, we find:

r ≈ (\(\sqrt[3]{80001 / \pi ))}\) ≈ 17.7 cm

Now that we have the radius, we can calculate the diameter by multiplying the radius by 2:

d = 2 * r ≈ 2 * 17.7 ≈ 35.4 cm

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Because b > 1, the correct response in this situation would be: "1.022 is the growth factor for the GDP since 1950, and the GDP increases by a factor of 1.022 every year."

In this instance, we're assuming that we can use the following function to simulate the US GDP, or gross domestic product, in dollars:

\(GDP = 11(1.0220)^{t}\)

We can also see that the exponential model formula given by: governs this formula.

\(GDP = 11(1.0220)^{t\)

Where a denotes the starting sum, b the model's growth/decay rate, and t is the number of years since 1950.

The value of b in this instance is provided by:

b = 1.022

And when we calculated r as the growth rate, we obtained:

1.022 = 1 + r

r = 1.022 - 1

r = 0.022

Because b > 1, the correct response in this situation would be: "1.022 is the growth factor for the GDP since 1950, and the GDP increases by a factor of 1.022 every year."

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The horse's average speed for the race in units of kilometers per hour will be 178.06.

The winning horse in a recent race covered the 5.50-furlong distance in 22.37 seconds.

The distance covered by the particle or the body in an hour is called the average speed. It is a scalar quantity. It is the ratio of the total distance to the total time.

We know that the average speed formula is given as,

Average speed = Total distance / Total time

The conversion is given as,

1 furlong = 0.201168 km

5.50-furlong = 0.201168 x 5.5 km

5.50-furlong = 1.10642 km

1 second = 1/3600 hour

22.37 seconds = 22.37/3600 hour

22.37 seconds = 0.0062 hour

The average speed is calculated as,

Average speed = 1.10642 / 0.0062

Average speed = 178.06 km per hour

The horse's average speed for the race in units of kilometers per hour will be 178.06.

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The value of the line integral is approximately -4.3 when rounded to one decimal place.

To evaluate the line integral \(\int\limits_c(y-x) dx + (xy) dy\) along the line segment from (3,4) to (2,1), we need to parameterize the curve and then substitute the parameterization into the integrand. One possible parameterization is:

r(t) = (3-t, 4-3t), for 0 ≤ t ≤ 1

The corresponding differentials are:

dx = -dt

dy = -3dt

Substituting the parameterization and differentials into the integrand, we get:

(y-x) dx + (xy) dy = (4-3t - (3-t))(-dt) + (3-t)(4-3t)(-3dt)

= -7dt + 9t² dt

Integrating with respect to t from 0 to 1, we get:

\(\int\limits_c(y-x) dx + (xy) dy\)

= \(\int\limits_c(-7 + 9t^2)\) dt

= \([-7t + 3t^{3/3}]_0^1\)

= -4.3

Rounding to one decimal place, the line integral evaluates to -4.3.

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Answer:

x = 20

Step-by-step explanation:

The scale factor is 2.5. The arrow on the right is 2.5 times bigger than the arrow on the left. So, you would multiply 8 by 2.5 to find x.

8 x 2.5 = 20

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Answer:

  2/15

Step-by-step explanation:

The given expression for θ can be rewritten to ...

  5sin(θ + arctan(-3/4)) = 0

This will have solutions ...

  θ +arctan(-3/4) = nπ

  θ = nπ - arctan(-3/4) = nπ + arctan(3/4)

__

The corresponding values of sine and cosine will be ...

  sin(arctan(3/4)) = 3/5

  cos(arctan(3/4) = 4/5

or both values may be negative. Either sign will give the same result in the expression we're to find.

  (2sin(θ) -cos(θ))/(sin(θ) +3cos(θ)) = (2(3/5) -(4/5))/(3/5 +3(4/5))

  = ((6 -4)/5)/((3+12)/5) = 2/15

  \(\boxed{\dfrac{2\sin\theta-\cos\theta}{\sin\theta+3\cos\theta}=\dfrac{2}{15}}\)

The strength of evidence against the null hypothesis depends on the magnitude of the z-score and the significance level. A z-score of 1 is usually not strong enough evidence to reject the null hypothesis because the critical value at common significance levels is usually greater than 1.

The strength of evidence against the null hypothesis depends on the magnitude of the standardized statistic and the significance level chosen for the test.

If the standardized statistic is greater in magnitude than the critical value of the corresponding significance level, then we can reject the null hypothesis in favor of the alternative hypothesis.

The standardized statistic for testing the sample proportion is the

z-score, given by:

z = (p - P0) / sqrt(P0*(1-P0) / n)

where p is the sample proportion, P0 is the hypothesized population proportion under the null hypothesis, and n is the sample size.

Therefore, the magnitude of the z-score determines the strength of evidence against the null hypothesis.

A z-score of 1 is not sufficient evidence to reject the null hypothesis for most significance levels commonly used (e.g., 0.05, 0.01), as the critical value for a two-tailed test at these levels is typically larger than 1.

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Answer:

5.1

Step-by-step explanation:

14^-2*1000

Answer:

x = 65°

y = 25° (equations in explanation)

Step-by-step explanation:

We know that EKD is 25° and we know that DKB is 90°.

EKD, DKB, and BKF are supplementary. This means that their angle measures add up to 180°.

So, since we know two, we can find the other very easily.

\(180 - (25+90)\\180 - 115\\65\)

This means that BKF is 65°.

Now, BKF and EKC are alternate interior angles, so they have the exact same measurement. Therefore, EKC, x, is 65°.

Again, EKC, CKA, and AKF are supplementary. AKF is 90° and EKC is 65°, so we can find the measure of CKA easily.

\(180 - (65+90)\\180-155\\25\)

Therefore y is 25° and x is 65°.

Hope this helped!

Answer:

60:1

Step-by-step explanation:

60:1 = 366:x

60x = 366

x = 6.1

366 minutes is equivalent to 6.1 hours.

Convert 366 minutes to hours.

\(\boldsymbol{\sf{Therefore \ \to \ 366 \not{m}*\dfrac{1 \ hr}{60\not{m}}=6.1 \ hr }}\)

We conclude that a time of 366 minutes is equal to 6.1 hours

There are 60 minutes in 1 hour. To convert from minutes to hours, divide the number of minutes by 60. For example, 120 minutes equals 2 hours because 120/60=2.

Given:

The equation of function is

\(y=-19x-56\)

The domain of a linear function is all real numbers x > 1.

To find:

The range of the function.

Solution:

We have,

\(y=-19x-56\)

Since, the domain of a linear function is all real numbers x > 1, it means the value of x can be any real number greater than 1.

Here, coefficient of x is -19 which is negative number. It means the value of y is decreasing as x increasing.

So, \(y\to -\infty\) as \(x\to \infty\).

At x=1,

\(y=-19(1)-56\)

\(y=-19-56\)

\(y=-75\)

It means, for x>1, y<-75.

Therefore, the range of a linear function is all real numbers y < -75.

Answer:

1. 1+6

2. 2+5

3. 3+4

4. 4+3

5. 5+2

6. 1+6

Step-by-step explanation:

The likelihood of it not raining both days day is 0.28, or 28%.

Who is the originator of probability?

An exchange if letters between two important mathematicians--Blaise Pascal or Pierre de Fermat--in the mid-17th century laid the groundwork for probability, transforming the way mathematicians and scientists regarded uncertainty and risk.

for Monday is 1 - 0.6 = 0.4 while the probability of rain for Thursday equals 1 - 0.3 = 0.7.

Because we assume that rain on Monday or rain on Thursday were independent events, the likelihood of no precipitation for both days is simply a function of the probabilities for zero rain on each day.

So the chances of it not raining on either day are:

P(no rain Monday and Thursday) = P(no rainfall Monday) x P(no rain Thursday) = 0.4 x 0.7 = 0.28

As a result, the likelihood of it not raining both days day is 0.28, or 28%.

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Explanation:

The like terms k and -5k combine to -4k

The like terms -5 and 1 combine to -4

So overall, that's how we end up with -4k-4

Answer:

Step-by-step explanation:

1). (k - 5k) + (-5 + 1) {Collect like terms}

2). -4k - 4 {Simplify}

Answer:

\(C= 62.8m\)

Step-by-step explanation:

Let's round \(\pi = 3.14\). Area of a circle if \(\pi r^2\). In our case, we can easily find out the radius\(\pi r^2 = 100\pi \rightarrow r=10m^\). At this point, it's easy to find the length of the circumference by doubling it and multiplying again by \(\pi\):

\(C= 2\pi r = 62.8 m\)

Answer:

5/12

Step-by-step explanation:

A ratio of 3:4 means that red counters make up 3/7 of the sum of red and blue counters and blue counters make up 4/7 of the total sum of red and blue counters.

If there is 20 blue counters, then 20 is 4/7 of the sum of the total red and blue counters.

So we need to solve for the total sum.

\( \frac{4}{7} x = 20\)

\(4x = 140\)

\(x = 35\)

So the total amount of red and blue counters are 35,

So this means the amount of red counters is 15.

The amount of yellow counters is 25.

So the total number of counters are 60.

So P(Yellow counters)= 25/60= 5/12

Answer:

7) sin 60° = 25√3/Z

0.8660 = 25√3/Z

Z = 50

8) using the Pythagorean theorem:

50² = (25√3)² + y²

2500 = 1875 + y²

y² = 625

y = 25

Answer:

z = 50

y = 25

Step-by-step explanation:

Using the 30, 60, 90 triangle rule

you can figure this out.

The rule says

With a 30, 60, 90 triangle

Given the shorter leg, (side across the 30 degree angle,

To find longer leg (side across the 60 degree angle):

Multiple shorter leg by radical 3.

To find hypotenuse (side across the 90 degree angle):

Multiple shorter leg by 2.

Thus

Shorter leg (side opposite 30 degree): 25

Longer leg (side opposite 60 degree):

25 radical 3

Hypotenuse(side opposite 90 degree): 50

The graph of the amount of money that River Run Canoes have a y intercept of 10 and slope of 10.

An equation is an expression that shows the relationship between two or more numbers.

The standard form of a linear equation is:

Ax + By = C

Where A, B and C are constants.

The slope intercept form of a linear equation is:

y = mx + b

Where m is the rate of change and b is the initial value (y intercept).

Let y represent the total amount of money that River Run Canoes Charges for a trip lasting x hours.

River Run Canoes Charges an initial fee of $10 plus $10 per hour, hence:

y = 10x + 10

The graph of the amount of money that River Run Canoes have a y intercept of 10 and slope of 10.

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Answer:

Answer choice B

Step-by-step explanation:

The negative inverses where the line is on the x-axis

Answer:

c

Step-by-step explanation:

a.) 7+7=14 and 19-5=14 ✓

b.) 9+9=18 and 11+7=18 ✓

c.) 19 and 13+5=18 ✗

d.) 20-12=8 and 4+4+8 ✓

Answer:

Step-by-step explanation:

1 answer. 10

2 answer. 8

Answer:

try 1239128981441231241

Step-by-step explanation:

myra

The proofing of the congruence is Illustrated.

Congruence is a property which implies that two or more given figures or shape are the same. Thus the required prove are given below:Two or more shapes are said to be congruent if their corresponding sides and measure of angles are equal. This implies that congruent shapes are equal or the same.

The required statements for the prove are:           STATEMENT                                        REASON1. &lt;2 ≅ &lt;5                                          

Given2. AB ≅ DE                                        

Given3. &lt;1 ≅ &lt;6                                           Alternate angle property

4. BE = BC + CE                               Definition of perpendicular bisector AD5. &lt;3 ≅ &lt;4                                        Vertically opposite angles

6. BC ≅ EC                                       Midpoint property

Therefore, segment BC is congruent to segment EC.

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The curve will get shifted left side by four units. Then the correct option is A.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The function is given below.

y = g(x)

If the g(x) is replaced with g(x + 4). Then the curve will get shifted left side by four units.

Thus, the correct option is A.

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Answer:

67.5

Step-by-step explanation: