Reflections on a Coordinate Plane

[tex]\sf\large\underline{Given:-}[/tex]

Speed of the train = 20km / 1hr.

[tex]\rightarrow[/tex] 1 hour = 60 minutes.

So, speed of the train = 20km/60min.

[tex]\sf\large\underline{To\: Find:-}[/tex]

[tex]\rightarrow[/tex]Distance covered by train in 1min.

[tex]\sf\large\underline{Solution:-}[/tex]

Let the distance covered by train in 1 min be [tex]\sf{x}[/tex] m.

So, if train covers 20 km in 60min then it covers [tex]\sf{x}[/tex] m in 1 min.

It can be written as,

[tex]\rightarrow[/tex] [tex]\sf{\frac{20}{60}}[/tex] [tex]\sf{=\frac{x}{1}}[/tex](by cross multiplication)

[tex]\rightarrow[/tex][tex]\sf{20\: = \: 60x}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{\frac{20}{60}= x}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{\frac{1}{3}= x}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{0.33= x}[/tex](approx)

Therefore, distance covered by train in 1 min= 0.33km (approx).

_______________________________

Hope it helps you:)

Answer:

A)    A(t) = 500e^(0.07)(t)

B)    575.137

Step-by-step explanation:

Answer:

Monday

Step-by-step explanation:

If day before yesterday was Saturday, so today is Monday.

Answer:

Part A)

About $3767.34.

Part B)

About $3692.47.

Step-by-step explanation:

Part A)

Recall that compound interest is given by the formula:
[tex]\displaystyle A = P\left(1+\frac{r}{n}\right)^{nt}[/tex]

Where A is the final amount, P is the initial amount, r is the interest rate, n is the number of times compounded per year, and t is the number of years.

To obtain $4000 after two years, let A = 4000 and t = 2.

Because the account pays 3% interest compounded monthly, r = 0.03 and n = 12.

Substitute and solve for P:

[tex]\displaystyle \begin{aligned} (4000) & = P\left(1+\frac{(0.03)}{(12)}\right)^{(12)(2)} \\ \\ P & = \frac{4000}{\left(1+\dfrac{(0.03)}{(12)}\right)^{(12)(2)}} \\ \\ & \approx \$3767.34\end{aligned}[/tex]

In concluion, about $3767.34 should be deposited.

Part B)

Recall the formula for continuous compound:

[tex]\displaystyle A = Pe^{rt}[/tex]

Where e is Euler's number.

Hence, let A = 4000, r = 0.04 and t = 2. Substitute and solve for P:

[tex]\displaystyle \begin{aligned}(4000) & = Pe^{(0.04)(2)} \\ \\ P & = \frac{4000}{e^{(0.02)(4)}} \\ \\ & \approx \$3692.47 \end{aligned}[/tex]

In conclusion, about $3692.47 should be deposited.

Answer:

32/4

Step-by-step explanation:

Step-by-step explanation:

if you 12kg cost 20 what about 5kg that will be 5kg×20÷12kg= 8.33 when you round of to the nearest hundredth this is the price of 5kg

sorry but i dont think i know how to answer the other question i have done what i only know thankyou

Answer:

Perimeter=36in

Length of one side=12

Length of the other side=12

Width of one side=6

Width of the other side=6

Step-by-step explanation:

6*2=12, so if the length is 12 half would be six. All of them added up is 36

Answer:

Step-by-step explanation:

[tex]perimeter \: of \: a \: rectangle = 2(2x) + 2(x) \\ 36in = 4x + 2x = 6x \\ \frac{36in}{6} = \frac{6x}{6} \\ x = 6in \\ 2x = 2 \times 6in = 12in[/tex]

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Answer:

ten weeks

Step-by-step explanation:

62.50 multiped by 10 moves the decimal over 1 to the right which makes it 625 :)

Answer:

12

Step-by-step explanation:

The least common denominator (LCD) of 1/3 and 3/4 is 12, because if you multiply the denominators of both fractions, 3 * 4 = 12.

This would change the fractions to-

1/3 * 4/4 = 4/12

3/4 * 3/3 = 9/12

I hope this was helpful! Have a lovely day!! :)

The approximate volume of the entire silo which consists of a cylinder capped by a hemisphere is 42,390 cubic feet

Volume of a cylinder = πr²h

where,

= 30 ft / 2

= 15 ft

Volume of a cylinder = πr²h

= 3.14 × 15 × 15 × 60

= 42,390 cubic feet

Learn more about volume of cylinder:

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#SPJ1

Answer:

should be 66% of children and 1650 children in the town

Step-by-step explanation:

Answer:

-28787890

Step-by-step explanation:

Answer:

The answer is $1250

Step-by-step explanation:

Solution,

Principle (P) = $ 5,000

Time (T) = 5 years

Rate(R) = 5 %

Simple Interest (I) = ?

Now,

We have,

Simple Interest (I) = P×T×R/ 100

= 5,000×5×5/100

= $1250

Answer: A vertical line from (-5 , 4 ) to (5 , 4)

Step-by-step explanation: The y axis is the vertical  one. Go up 4 and draw a line connecting all the points with 4 in the coordinates.

Hope that helps :)

Answer:

Step-by-step explanation:

go up 4 lines on the y-axis then draw a straight line from left to right on y=4

I don't know if you can see the picture, but I drew a line on the picture you provided...

Please 5 stars if correct!!!

I hope this helps

Answer:

See below.

Step-by-step explanation:

a) 4 7/8 inches

b) 4 5/8 inches

c) 12.5%

Answer:

5x+1=7

Step-by-step explanation:

Answer:

72.6

Step-by-step explanation:

180-107.4 = 72.6

Answer:

70%

Step-by-step explanation:

First we express this as a fraction:

14/20

Then we express it as a decimal: (by doing 14÷20)

0.7

Now we express it as a percentage by multiplying the decimal by 100:

0.7×100%

70%

Answer:

70%

Step-by-step explanation:

GIven:

Eli planted 14 out of his 20 tomato plants so far in his garden. What percentage of his tomato plants has he planted?

Solve:

14/20 x 100

0.7 x 100

70%

Hence, 70% of his tomato plants he planted.

~Lenvy~

The height of the arrow will be 471 feet at 8.35s and 3.53s

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

h represent the height of the arrow after t seconds.

h(t) = -16t² + v₀t + h₀

v₀ is the initial velocity = 190 ft/s, h₀ is the initial height = 0m, hence:

h(t) = -16t² + 190t

At 471 feet:

471 = -16t² + 190t

0 = -16t² + 190t - 471

t = 8.35 or 3.53

The height of the arrow will be 471 feet at 8.35s and 3.53s

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Answer:

See attached diagram

a) Points shown in blue

b) correlation is negative since the y-values decrease as the x-values increase.

c) Line of best fit needs to have the same number of points above as below.

Like the given triangle is an isosceles triangle, the value of ∠ABC is 72°.

There are 3 main classifications for triangles refer to its sides.

The figure shows that the given triangle is an isosceles triangle because it has two equal sides (AB=AC). If it is an isosceles triangle, this triangle presents two sides with the same dimensions (AB=AC). and it has two angles with equal size(∠ACB=∠ABC).

Knowing the sum internal angles of triangle is 180°. You can write:

3x+6x+6x=180

15x=180

x=12

Like ∠ABC=6x, then ∠ABC=6*12=72°.

Read more about the types of triangles here:

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Answer:

yes

explanation:

Your score falls within the range of scores, from 740 to 799, that is considered Very Good. A 779 FICO Score is above the average credit score. Consumers in this range may qualify for better interest rates from lenders.

Answer:

Square

Step-by-step explanation:

Answer: no idea

Step-by-step explanation:

Answer:

3/10 is bigger

Step-by-step explanation:

covert into a decimal so 0.3 is bigger than 0.2857

A) The transformations can be a vertical translation and an horizontal translation.

B) K = 8 and K' = 16

C) g(x) = f(x + 8)

    g(x) = f(x) + 16.

A ) By looking at the graph, we see that g(x) can be a translation to the left by K units or up by K' units.

B) In the case the translation is to the left, we can see that it the graph is moved 8 units, so K = 8.

In the case that the translation is up, we can see that it is for 16 units, so we have k' = 16.

C) How to write the equations?

An horizontal translation is written as:

g(x) = f(x + K).

Because the translation is to the left, we have that K is positive, then in our case we have:

g(x) = f(x + 8).

For the vertical translation the formula is:

g(x) = f(x) + K'

In our case, we have:

g(x) = f(x) + 16

If you want to learn more about transformations, you can read:

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Answer:The transformations can be a vertical translation and an horizontal translation.B) K = 8 and K' = 16C) g(x) = f(x + 8)    g(x) = f(x) + 16.Which type of transformation could be used?A ) By looking at the graph, we see that g(x) can be a translation to the left by K units or up by K' units.B) In the case the translation is to the left, we can see that it the graph is moved 8 units, so K = 8.In the case that the translation is up, we can see that it is for 16 units, so we have k' = 16.C) How to write the equations?An horizontal translation is written as:g(x) = f(x + K).Because the translation is to the left, we have that K is positive, then in our case we have:g(x) = f(x + 8).For the vertical translation the formula is:g(x) = f(x) + K'In our case, we have:g(x) = f(x) + 16

Step-by-step explanation:

The volume of the cone and cylinder with a radius of 7 cm and height of 10 cm is 513.33 cm³ and 1540 cm³ respectively.

Volume is the amount of space occupied by a three dimensional shape or object.

Let us assume the cone and cylinder has a radius of 7 cm and height of 10 cm, hence:

Volume of the cone = (1/3) * π * radius² * height = (1/3) * π * 7² * 10 = 513.33 cm³

Volume of the cylinder = π * radius² * height = π * 7² * 10 = 1540 cm³

The volume of the cone and cylinder with a radius of 7 cm and height of 10 cm is 513.33 cm³ and 1540 cm³ respectively.

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Answer:

(1, -8)

Step-by-step explanation:

In this case, we are reflecting. Since we are reflecting over the x axis, the only thing that will change will be the y.

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The x is staying the same because it is not moving. The y, however, is changing sides.

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Since the y is positive in its original spot, when you reflect over the x axis, you will have a negative y value, which is why it is a -8.

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I hope this helps!

-No one

Answer:

x = 11

Step-by-step explanation:

Hello!

In an isosceles triangle, the two legs are congruent by the property Base angle Theorem. It is isosceles when both angles on the base are congruent.

So, since the base is x, and the measure of one leg is 3x - 6, we know that the other leg is also 3x - 6 in length.

The equation for perimeter is :  leg + leg + base = Perimeter

We can plug in 65 for the perimeter because it's given

Solve for x:

The value of x is 11.