What is the arc measure of CD in degrees?

Answer:

70 feet

Step-by-step explanation:

1/14=5/x

x=14*5

x=70

We have been given that Sandra bought a boat for $28,800. According to her insurance company the value of the boat depreciates 7% each year. We are asked to find the value of the boat x years after Sandra purchased it.

We will use exponential decay formula to solve our given problem.

An exponential decay function is in form [tex]y=a(1-r)^x[/tex], where,

y = Final amount,

a = Initial amount,

r = Decay rate in decimal form,

x = Time.

Let us convert 7% into decimal form.

[tex]7\%=\frac{7}{100}=0.07[/tex]

Initial value of car is $28,800, so our function will be:

[tex]y=$28,800(1-0.07)^x[/tex]

[tex]y=$28,800(0.93)^x[/tex]

Therefore, the value of boat after x years would be [tex]y=$28,800(0.93)^x[/tex].

Answer:

Step-by-step explanation:

Given a general quadratic formula given as ax²bx+c = 0

To generate the general formula to solve the quadratic equation, we can use the completing the square method as shown;

Step 1:

Bringing c to the other side

ax²+bx = -c

Dividing through by coefficient of x² which is 'a' will give:

x²+(b/a)x = -c/a

- Completing the square at the left hand side of the equation by adding the square of half the coefficient x i.e (b/2a)² and adding it to both sides of the equation we have:

x²+(b/a)x+(b/2a)² = -c/a+(b/2a)²

(x+b/2a)² = -c/a+(b/2a)²

(x+b/2a)² = -c/a + b²/4a²

- Taking the square root of both sides

√(x+b/2a)² = ±√-c/a + b²/√4a²

x+b/2a = ±√(-4ac+b²)/√4a²

x+b/2a =±√b²-4ac/2a

- Taking b/2a to the other side

x = -b/2a±√√b²-4ac/2a

Taking the LCM:

x = {-b±√b²-4ac}/2a

This gives the vertex form with how it is used to Solve a quadratic equation.

Answer:

  A)  5

Step-by-step explanation:

The coefficients of the second equation are 1/3 of those of the first equation. If the constant of the second equation is also 1/3 of the constant of the first equation, then the equations are dependent, and will have an infinite number of solutions.

The constant must be something other than 1/3·15 = 5 to make the equations inconsistent, having no solutions.

Answer:

i dont know

Step-by-step explanation:

Answer:

Enlargement transformation

Step-by-step explanation:

A dilation is a transformation which produces an image of the same shape as the original, but may/may not be of the same size. A dilation could be an enlargement, reduction or a congruence.

The following rule applies(given the scale factor k)

therefore, since k=6/5=1.2>1, there is an enlargement transformation

Final answer:

When the scale factor is 6/5, it indicates that each dimension of the original figure is increased to achieve the new figure's dimensions, marking this transformation as an enlargement because the scale factor is greater than 1.

Explanation:

If a scale factor is 6/5, this means every dimension in the original figure is multiplied by  6/5 to get the dimensions of the new figure. Since the scale factor is greater than 1, each dimension of the original figure is increased to get the dimensions of the new figure. Therefore, this type of dilation is an enlargement, not a reduction or congruence transformation. An enlargement increases the size of an object while keeping its shape the same. In contrast, a reduction would mean the scale factor is less than 1, and a congruence transformation, which includes transformations like translation, rotation, and reflection, does not change the size at all.

Answer:

The answer is A on edge

Step-by-step explanation:

The number of ways the train could be made up are 4,151,347,200.

A permutation of a set is an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements.

Now the given cars are 6 flatcars, 7 boxcars, and 3 livestock cars.

So the total number of cars, n  = 6 + 7 + 3

                                                   = 16

Now, a train is made up of 9 cars,

Therefore, r = 9

Hence the required number of ways the train could be made is nPr

nPr = n!/(n-r)!

nPr = 16!/(16-9)!

nPr = 16!/7!

nPr = 16*15*14*13*12*11*10*9*8

nPr = 4,151,347,200

Hence,the number of ways the train could be made up are 4,151,347,200.

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Answer: B. Outlier

Step-by-step explanation:

An outlier is an extremely large or extremely small data value in a data set such that it appears far from the other data points when we plot data points on scatter plot or box plot.

Thus, the data point that is the farthest from other data points when the box plot is NOT symmetrical is Outlier.

Its presence affects the value of mean directly. So when a data set have outliers , we prefer Median(Mid value of a data set) as the best measure of central tendency because existence of outliers does not effect Median .

Hence, the correct option is B. Outlier.

Answer:

The slope of the equation is -3

The y-intercept of the equation is (0,-1)

Step-by-step explanation:

For slope: [tex]\mathrm{For\:a\:line\:equation\:for\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is\:}\mathbf{m}[/tex]

[tex]m=-3[/tex]

For y-intercept: [tex]y\mathrm{-intercept\:is\:the\:point\:on\:the\:graph\:where\:}x=0[/tex]

[tex]\mathrm{Solve\:}\:y=-3\cdot \:0-1:\quad y=-1[/tex]

[tex]\mathrm{Apply\:rule}\:0\cdot \:a=0\\y=-0-1\\\\\mathrm{Subtract\:the\:numbers:}\:-0-1=-1\\y=-1\\[/tex]

answer: 334 days  googled it

Step-by-step explanation:

Simple

x - 7 = 0

x = 7

x + 8 = 0

x = - 8

Option no 1 is the correct answer

Answer:

for the first job is $75.05 and for the second job is $126.75

The average earning of Don is obtained as 8.09.

In order to calculate average, divide the total sum of the data to the total number of data. An average is a standard number for a given data whose value can both be more or less than it.

The total value can be calculated by multiplying the average to the number of data.

The time spent on first job is 10 hours and on second is 15 hours.

Now, the average earning per hour can be calculated as below,

(Earning for first job + Earning for second job) ÷ 25

⇒ (10 × 7.55 + 15 × 8.45) ÷ 25

⇒ 8.09

Hence, the average earnings per hour is given as 8.09.

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Answer:

191.5 lbs.

Step-by-step explanation:

His weight loss for each week of the month is:

Week 1: 5 lbs. Week 2: 2.5 lbs. Week 3: 2.5 lbs.     On the final week he gained 3.5 Ibs.

We know his original weigh was 198 lbs. So subtract 198 from 10 (sum from adding his weight loss). You get 188 lbs. Finally add the amount of pounds he gained on the final week. 188 lbs. + 3.5 lbs. = 191.5 lbs.

Please mark as brainliest if you found helpful.

Jon's total weight loss for the month is 10 lbs., but he gained 3.5 lbs. the final week. This makes his total weight change 6.5 lbs. Thus, from his original weight of 198 lbs., his weight after a month is 191.5 lbs.

To find out Jon's weight now, we must calculate the total weight change. Jon lost 5 lbs. in the first week, then 2.5 lbs. both in the second and third week. He, however, gained 3.5 lbs. in the last week. Therefore, the total change in weight is calculated as follows:

So, Jon now weighs 191.5 lbs.

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Answer:

170 that is the answer hope it's right

Answer:

answer is 30

Step-by-step explanation:

120/2 60 the weight then since the competitor of that side is fries divide it by 2 and plus i just did it on USA test prep

Answer:

23

Step-by-step explanation:

if X is a side

so squares have 4 sides that are the same so 92/4 equals 23

Answer:

B. 8.7 in.3

Step-by-step explanation:

Answer:

I did it on edgen

Step-by-step explanation:

Hope it helps!

9514 1404 393

Answer:

Step-by-step explanation:

Regardless of the diameter, the radius is half the diameter. For this sphere, it is 5/2 m = 2.5 m.

__

The height of the sphere is equal to its diameter, so is 2r. The volume of a cylinder with radius r and height 2r is ...

  V = πr²h = πr²(2r) = 2πr³

The volume of a sphere with radius r is ...

  V = 4/3πr³

Then the ratio of sphere volume to cylinder volume is ...

  (4/3πr³)/(2πr³) = (4/3)/2 = 2/3

The sphere volume is 2/3 that of a cylinder with the same radius and height.

Answer:

Camels has to pay $42 more as interest

Step-by-step explanation:

We are given that Carmela borrows $400 and will pay 5.25% yearly simple interest.

Principal = $400

Rate of interest = 5.25%

Time = 2 years

Formula :[tex]SI = \frac{P \times T \times R}{100}[/tex]

So, [tex]SI =\frac{400 \times 2 \times 5.25}{100}[/tex]

SI=42

She borrows the money for 4 years instead of 2 years,

So,[tex]SI =\frac{400 \times 4 \times 5.25}{100}[/tex]

SI=84

Difference in interests = 84-42 = 42

Hence Camels has to pay $42 more as interest

Answer:she has to pay 42 dollars more

Step-by-step explanation

Awnser:

14.5 cm

Step-by-step explanation:

1*7=7, 5*3=15/2=7.5

Answer:

14.5 cm^2

Step-by-step explanation:

We can find the area by adding the area of the long rectangle and the triangle

The rectangle is 1 cm by 7 cm

A = 1*7 = 7 cm^2

The triangle is 5 cm by (7-4) =3 cm

A = 1/2 (5*3)

A = 7.5 cm^2

The total area is

7+7.5 = 14.5 cm^2

Answer: 3, 14, 25.5, 37, 49

Step-by-step explanation: Apex said so

Answer:

median= 73

Step-by-step explanation:

Answer:

73

Step-by-step explanation:

list from lowest to highest.

so

66, 66, 73, 75, 80

Pick the middle, because that is the median.

73

Answer:

see below

Step-by-step explanation:

V = l*w*h for the rectangular  tank

V = 70* 40*40

   =112000 cm^3 = 1mL

The water is 84000

Make this a fraction

84000/112000  = 3/4

The water fills 3/4 of the tank

1-3/4 = 1/4

It is 1/4 from the top

Find the volume of the treasure chest

V = 12*10*8 =960

Tower

V = pi r^2

   3.14 * 10^2 *10

   =3140

Water + chest + tower

84000+960+3140 =88100

This is less than 112000 so the water will not overflow

Answer:

a) 10 cm

b) Will not overflow

Step-by-step explanation:

8400 = base area × height

84000 = 70 × 40 × h

h = 30

From the top: 40 - 30 = 10cm

b) Capacity of the tank:

70 × 40 × 40

112,000 cm³

Combined volume of the two vessels:

(12 × 10 × 8) + (3.14 × 10² × 10)

960 + 3140

4,100 cm³

4100 = 70 × 40 × rise

rise = 1.464285715 cm

Since 1.464285715 < 10

It will not overflow

Answer:

B.supplementary

Step-by-step explanation:

Angle ABC and Angle CBD are supplementary angles, which means they add up to 180 degrees

Answer:

It's option C) 4 units by 4 units

Step-by-step explanation:

I hope this helps

The dimensions of the rectangle that Michael should draw are 4 units by 4 units.

A rectangle is defined as a four-sided shape with opposite sides that are equal in length and parallel to each other.

A parallelogram is defined as a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

The dimensions of the rectangle that Michael should draw are:

Length = AB = CD = 4 units (horizontal side of the parallelogram)

Width = AD = BC = 4 units (vertical side of the parallelogram)

This creates a rectangle with dimensions of 4 units by 4 units.

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Answer:

The total length of the pathway now is 1,541 ft

Step-by-step explanation:

To calculate the length of the pathway now, what we need to do is to have a consistency in units.

Thus, we need to convert the 513 yards to ft

Mathematically 1 yard = 3 feet

Thus 513 yards will be = 513 * 3 = 1,539 ft

Thus the total length of the pathway now will be 1539 ft + 2 ft = 1541 ft

Answer: the answer is 1 5 3 ft

Step-by-step explanation:

Answer:

3 mph

Step-by-step explanation:

Take the miles and divide by the hours

15 3/4 ÷  5 1/4

Change to improper fractions

63 /4 ÷ 21 /4

Copy dot flip

63/4 * 4/21

63/21 *4/4

3 *1

3

Answer:

10.86

Step-by-step explanation:

m = Y2 - Y1 / X2 - X1 = -19 -57 / -34 +27 = -76 / -7 = 10.86

Answer:

y=7/76x-129/4

Step-by-step explanation:

I'm going to assume you want this in slope intercept form.

The equation of a line is equal to y = mx+b

Where m is the slope and b is the y-intercept.

The slope of a line is a measure of how steep the line is.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

y2-y1/x2-x1

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (57,-27), point #1, so the x and y numbers given will be called x1 and y1, and the second point will be x2 and y2.

So we just plug in the numbers, and find the slope to be 7/76.

What about b(the y-intercept), I can already hear you typing. Well, to do that, you plug in the coordinates of the points given and solve for b.

And there you have it:

y=7/76x-129/4 is the equation of the line.

The rent of the apartment during the 7th year of living in the apartment is $2414.

Given that, principal = $1200, rate of interest =10.5% and time period = 7 years.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest = [tex]A=P(1+\frac{r}{100})^{nt}[/tex]

[tex]A=1200(1+\frac{10.5}{100} )^7[/tex]

[tex]A=1200(1+0.105)^7[/tex]

[tex]A=1200(1.105)^7[/tex]

[tex]A=1200\times2.0116[/tex]

[tex]A=2413.88[/tex]

A ≈ $2414

Therefore, the rent of the apartment during the 7th year of living in the apartment is $2414.

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Final answer:

To calculate the 7th year rent after a 10.5% annual increase starting from an initial rent of $1200, use the formula for compound interest. The rent amounts to approximately $2277.60 for the 7th year.

Explanation:

Calculating Future Rent Increase

To calculate the rent of the apartment during the 7th year after a consistent annual increase, we need to apply the percentage increase formula within a compound interest framework:

Rentₙ = Rent₀ × (1 + rate)ⁿ

Where Rentₙ is the rent after n years, Rent₀ is the initial rent, rate is the annual increase rate in decimal form, and n is the number of years.

For an initial rent of $1200 with a 10.5% increase per year:

Rent for the 7th year will be calculated as follows:

Rent₀ = $1200

rate = 10.5% or 0.105 in decimal form

n = 6 (since we are starting from year 1 to year 7)

Using the formula:

Rent₇ = $1200 × (1 + 0.105)⁶

Upon calculation, the rent for the 7th year is approximately:

Rent₇ = $1200 × (1.105)⁶ ≈ $1200 × 1.898 = $2277.60

Thus, the rent of the apartment during the 7th year of living there would be approximately $2277.60

Answer:

Yes he is

Step-by-step explanation:

he is saying 1/4 and 2/8 of the coins are dimes 2/8 simplified is 1/4

let me know if this helps

Answer:

The events are dependent. The size of the original sample space is 8. It changes to 7 after the first dime is chosen. The probability of picking the first dime is 2/8. The probability of picking the second dime is 1/7 ,To find the probability of the compound event, multiply the probabilities.

Step-by-step explanation: