Maya purchased a boat for $18,340. Its value depreciated by 15% in the first year she owned it. What was her boat worth at the end of this first year?

We know the line equation is given by

y = mx + b, where m and b are numbers: m represents the slope (inclination) of the line) and b the intercept with y-axis

The graph of y = 7x + 6 intercepts y-axis at b = 6.

If it is translated 4 units down then it should intercepts y- axis at b' = 6 - 4 = 2

Answer:

2,572,800

Step-by-step explanation:

I hope this helps!

Answer: 40 x 40 x 402 x 2 x 2 =128,640

The line m is not parallel to line n. Hence, proved.

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

Given that, line m is not parallel to line n.

Prove that, ∠1 is not congruent to ∠5 by contradiction.

A by contradiction proof starts by assuming the negative of the to prove is true, then from there logically arriving at a contradiction.

So, assume ∠1 ≅ ∠5.

Those angles are corresponding angles (definition of corresponding angles when two lines are cut by a transversal)

Therefore, line m║n (when two lines are cut by a transversal such that corresponding angles are congruent, then those lines are parallel).

This contradicts the given information that line m is not parallel to line n, so the original assumption cannot be true.

Hence, it is proved.

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It is false that x is a function of y

The equation is given as:

x = y^2

Set y = 2

x = (2)^2

x = 4

Set y = -2

x = (-2)^2

x = 4

Different values of y give the same x value.

This means that x is not a function of y

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The measure of the angles for the similar triangles are ∠G = 105°; ∠H = 55° and ∠I = 20°

Two triangles are said to be similar if the ration of their corresponding sides are in the same proportion. Also, all their corresponding angles are congruent with each other.

From the diagram shown:

∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)

20 + 105 + ∠Z = 180

∠Z = 55°

Since triangle XYZ and triangle GHI are similar, hence:

∠X = ∠G = 105°; ∠Z = ∠H = 55° and ∠Y = ∠I = 20°

The measure of the angles are ∠G = 105°; ∠H = 55° and ∠I = 20°

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Answer:

P(x< 18) = 0.986

Step-by-step explanation:

Step 1: find the z-score using the formula, z = (x - µ)/σ

Where,

x = randomly chosen values = 18

µ = mean = 7

σ = standard deviation = 5

Proportion of the population that is less than 18 = P(x < 18)

Plug in the values into z = (x - µ)/σ, to get z-score.

z = (18 - 7)/5

z = 11/5 = 2.2

Step 2: Find P(x< 18) = P (z<2.2) using z-table.

The probability that corresponds with z-score calculated is 0.986.

Therefore,

P(x< 18) = 0.986

Answer:

Answers are below

Step-by-step explanation:

10a) Find how many multiples of 3 there are       4/12 = 1/3

10b) Find how many factors of 12 there are         6/12 = 1/2

10c) Find how many prime numbers there are    5/12

10d)                                                                         3/12 = 1/4

10e) Find how many numbers are less than 12   11/12

Answer:

x=6,36

Step-by-step explanation:

step 1 : cross multiply

x-3=3.36

x=3.36+3

x=6.36

Answer: B,D,E

Step-by-step explanation:

Answer:

2, 4, 5

Step-by-step explanation:

:)

The percentage of the runner from team B that finishes the race is 21.4%

How to find the percentage that finish the race from team B?

Team A and Team ran a race. Team A had 28 runners and Team B also had 28 runners.

4 runners from team A finishes the race while 12 runners from team B finishes the race.

Therefore, the percentage from team B that finishes the race can be calculated as follows.

percentage from team B that finishes = 12 / 56 × 100

percentage from team B that finishes = 1200 / 56

percentage from team B that finishes = 21.4285714286

percentage from team B that finishes = 21.4%

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The mode will not change.

Given data,

58,60,53,54,60,35,58,60

Outlier is the value in a set of data that much higher or lower than other values in data.

from given data, outlier is 35.

Mode is the value in a set of data that occurs more frequently in set of data.

from given data, 60 occurs more frequently.

Hence, 60 is the mode of data.

If outlier is removed from the data set then it will not affect the mode of the data

Thus, the mode will not change.

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Answer:

Can u make the question more clear?

Answer:
V = 180 (vans)

S = 90 (small trucks)

L = 40 (large trucks)

Step-by-step explanation:

Set up the variables: Let V represent the number of vans, S represent the number of small trucks, and L represent the number of large trucks.

Write the equations:

V + S + L = 310 (total number of vehicles)

V = 2S (twice as many vans as small trucks)

35,000V + 70,000S + 60,000L = 15,000,000 (total cost of the vehicles)

Substitute equation 2) into equation 1):

2S + S + L = 310

3S + L = 310

Simplify equation 3) by substituting V = 2S:

70,000S + 70,000S + 60,000L = 15,000,000

140,000S + 60,000L = 15,000,000

Set up a system of equations:

3S + L = 310

140,000S + 60,000L = 15,000,000

Eliminate L by multiplying equation 1) by 60,000:

60,000(3S + L) = 60,000(310)

180,000S + 60,000L = 18,600,000

Subtract equation 2) from the new equation:

(180,000S + 60,000L) - (140,000S + 60,000L) = 18,600,000 - 15,000,000

40,000S = 3,600,000

Solve for S:

S = 90

Substitute the value of S into equation 1) to solve for L:

3(90) + L = 310

270 + L = 310

L = 40

Substitute the values of S and L into equation 2) to solve for V:

V = 2S

V = 2(90)

V = 180

The final answer is:

V = 180 (vans)

S = 90 (small trucks)

L = 40 (large trucks)

Answer:

180 Vans 90 Small trucks and 40 Large trucks

Step-by-step explanation:

Answer:

8 divided by 1/4 = 2

12 divided by 1/4 = 3

more cows were put in the barn

Step-by-step explanation:

8 horses 1/4= 2

12 horses 1/4= 3

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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Answer:

see below

Step-by-step explanation:

There is no picture attached, but assuming that the circle fits inside the square:

Area of square lawn = 242 ft²

Therefore, length of each side = \(\sqrt{242} \) = \(11\sqrt{2} \) ft

Therefore, the radius of the circle will be half of this = \(\frac{11\sqrt{2} }{2} \) = 7.78 ft = 93.34 in

A quadratic equation, or second-order polynomial equation with a single variable, has the form ax^2 + bx + c = 0. The solution to the given equation is v = 7, -5 and 3

The form ax^2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

Given the quadratic expression below:

(v-7)(v+5)(v-3)=0

Required

The solution to the system of equation

Equate each expression to zero calculate the value of 'v' as shown:

v - 7 = 0

v = 0 + 7

v = 7

Also, v + 5 = 0

v = 0 - 5

v = -5

Similarly, v - 3 = 0

v = 0 + 3

v = 3

Hence the solution to the given equation is v = 7, -5 and 3

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Answer:

neither

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Hello There!

The following polygon shown is a triangle with the following dimensions

height - 4

base - 7

Given this information we need to find the area

Remember the formula for area of a triangle is

\(A=\frac{1}{2} bh\)

where b = base and h = height

given the information all we need to do is plug in the values into the formula

so...

\(A=\frac{1}{2} 4*7\\4*7=28\\\frac{28}{2} =14\\A=14\)

Hence, the area of the triangle is 14 square units

Answer:

37.5 is the answer

Step-by-step explanation:

all you do is just multiply the 2 numbers

The solution to the statement "add the quotient of 0.4 and 0.7 to the quotient of 1.4 and 0.4" is 4.07

From the question, we have the following parameters that can be used in our computation:

add the quotient of 0.4 and 0.7 to the quotient of 1.4 and 0.4

Using the above as a guide, we have the following:

0.4/0.7 + 1.4/0.4

Simplify the fractions

4/7 + 7/2

Evaluate the sum

4.07 (approximated)

Hence, the solution is 4.07

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Answer:

-0.4444444444 or just -0.4

As we know that 1 metre =

100 centimetres

hence the length of a side of the square is 100 cm.

The conversion of measurement from meters to centimeters can be done by multiplying the number of meters by 100. We know that one centimeter is equal to hundred centimeters, i.e., 1 m = 100 cm.

According to the most developed definition, the length of the path traveled by light in vacuum during a time interval with a span of 1/299,792,458 of a second is called the meter. Now, 100 centimeters equal to 1 meter or one centimeter equal to one-hundredth (i.e. 1/100 th) of meter. Meters are denoted by m, whereas centimeters are denoted by cm.

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Answer: Dan has already rushed 146 yards

Answer:

12x+10

Step-by-step explanation:

10x+2(x+5)

10x+2x+10

12x+10

B. After 24 hours, approximately 2.49 grams will be left.

C. After approximately 18.13 hours, there will be approximately one gram left.

A. To represent the number of grams present after n hours, we can use the equation:

N(n) = 15 × (1 - 0.2)^n

Where:

N(n) is the number of grams present after n hours,

15 is the initial amount of the substance in grams,

0.2 represents the decay rate of 20% per hour, and

^n represents the exponentiation operation.

B. To find out how much will be left after 24 hours, we can substitute n = 24 into the equation from part A:

N(24) = 15 × (1 - 0.2)^24

Calculating this expression, we find that approximately 2.49 grams will be left after 24 hours.

C. We need to determine the number of hours it takes until there is approximately one gram left. We can set up the equation:

1 = 15 × (1 - 0.2)^n

To solve for n, we can divide both sides of the equation by 15 and then take the logarithm (base 0.8) of both sides:

log(0.8)(1/15) = n

Using a calculator or logarithmic properties, we find that approximately 18.13 hours are required until there is approximately one gram left.

Therefore, the answers are:

B. After 24 hours, approximately 2.49 grams will be left.

C. After approximately 18.13 hours, there will be approximately one gram left.

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Answer:

The correct answer is D 64°

Step-by-step explanation:

S is equal to 50 because we have a straight line (angle).  A straight angle is 180°.  180 -130 = 50°.

If angle s = 50° and angle R = 66° (given), then Q must be 64°.  
This is true because the sum of the interior angles or a triangle is 180.

180 - 50 - 66 = 64

Given  \(sin (\theta) = \frac{1}{5}\), and\(tan \theta = \frac{\sqrt{6} }{12}\), then:

\(cos\theta=\frac{2\sqrt{6} }{5}\)

From the details provided:

\(sin (\theta) = \frac{1}{5}\ \\\\tan \theta = \frac{\sqrt{6} }{12} \times \frac{\sqrt{6} }{\sqrt{6} }\\\\tan \theta = \frac{\sqrt{6} \times \sqrt{6} }{12 \times \sqrt{6} }\\\\tan \theta =\frac{1}{2\sqrt{6} }\)

From the relationship above:

Opposite = 1

Adjacent = \(2\sqrt{6}\)

Hypotenuse = 5

\(cos\theta=\frac{Adjacent}{Hypotenuse} \\\\cos\theta=\frac{2\sqrt{6} }{5}\)

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The correct option is that C. Carmen disagreed and said, "No, the answer is 72x^12"

The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.

It should be noted that when dividing exponents with same base, we will subtract the powers and when multiplying them, we will add the powers.

Here, the study team was discussing how to multiply 6x^10 by 12x^2. Therefore, this will be:

= 72 × x^(10 + 2)

= 72x^12.

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