A new high school is adding 50 new students each year. This is an example of:


A: Geometric Gowth


B: Arithmetic Growth


C: Geometric Decay


D: Arithmetic Decay

Answer:

Angle

Step-by-step explanation:

Ray is also known as the line. Endpoint is where the ray stops. Length is how long the ray is. Angle is the space inbetween the two lines!

Answer:

5/6

Step-by-step explanation:

5/1 cakes shared by 6/1 people. To divide, we can freeze flip and multiply the fractions to get to 5/1 * 1/6 = 5/6 cakes per person. Let me know if this helps.

Answer:

5/6 hope this helps!

Step-by-step explanation:

Answer:

The answer is 13

Step-by-step explanation:

First, you replace x with 2. Then you multiply 4 and 2 which you get 8. Lastly, you add 8 and 5 so you get 13.

\(\huge\text{Hey there!}\)

\(\mathsf{\dfrac{21}{7}\ of\ 2\dfrac{1}{2}}\)

\(\mathsf{= \dfrac{21}{7}\times2\dfrac{1}{2}}\)

\(\mathsf{= \dfrac{21}{7}\times\dfrac{2\times2+1}{2}}\)

\(\mathsf{=\dfrac{21}{7}\times\dfrac{4 +1}{2}}\)

\(\mathsf{=\dfrac{21}{7}\times\dfrac{5}{2}}\)

\(\mathsf{=\dfrac{21\div7}{7\div7}\times\dfrac{5}{2}}\)

\(\mathsf{= \dfrac{3}{1}\times\dfrac{5}{2}}\)

\(\mathsf{= \dfrac{3\times5}{1\times2}}\)

\(\mathsf{= \dfrac{15}{2}}\)

\(\mathsf{\approx 7\dfrac{1}{2}}\)

\(\huge\textsf{Therefore, your answer should be:}\)

\(\huge\boxed{\frak{7 \dfrac{1}{2}}}\huge\checkmark\) \(\large\textsf{or even}\rightarrow\) \(\huge\boxed{\frak{\dfrac{15}{2}}}\huge\checkmark\)\(\uparrow\large\textsf{Either these should work because they are equal to each other.}\uparrow\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

A rational number

Step-by-step explanation:

Answer:

Decimal number

Step-by-step explanation:

Converting to fraction

\(\\ \sf\longmapsto 28.8\)

\(\\ \sf\longmapsto \dfrac{288}{10}\)

\(\\ \sf\longmapsto \dfrac{144}{5}\)

\(\\ \sf\longmapsto 28\dfrac{4}{5}\)

Therefore, the freight train traveled for 16.67 + 10 = 26.67 hours before the passenger train caught up with it.

let's call the time it took for the passenger train to catch up with the freight train "t" (in hours).

During this time, the freight train traveled at its average speed of 45 km/h for t + 10 hours, while the passenger train traveled at its average speed of 72 km/h for t hours.

We know that the distance both trains traveled is the same, since the passenger train caught up with the freight train. So, we can set up the following equation:

distance traveled by freight train = distance traveled by passenger train

\((45 km/h) x (t + 10 h) = (72 km/h) x t\)

Simplifying this equation, we get:

\(45t + 450 = 72t\)

\(27t = 450\)

t = 16.67 hours

Therefore, the freight train traveled for 16.67 + 10 = 26.67 hours before the passenger train caught up with it.

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Answer:

  B.  -0.9, 8.9

Step-by-step explanation:

The value(s) of the variable can be found by undoing the operations done to it.

__

Undo the square by taking the square root:

  x -4 = ±√24 = ±2√6

Undo the subtraction by adding 4:

  x = 4 ±2√6 ≈ {-0.8990, 8.8990} . . . keep enough digits to round correctly

The approximate solutions are ...

  -0.9, 8.9

Answer:

12.04

Step-by-step explanation:

Formula:

a² + b² = c²

8² + 9² = c²

64 + 81 = c²

145 = c²

c = 12.04

The body mass index of the patient is 18.82 kg/m².

Given that the weight of a patient is 61 kg and his height is 1.8 m we need to find his body mass index,

BMI = Weight / Height²

= 61 / 1.8²

= 61 / 3.24

= 18.82

Hence the body mass index of the patient is 18.82 kg/m².

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Answer:

0.17

Step-by-step explanation:

I’m not sure sorry

Answer:

144+1/2 over 189

Step-by-step explanation:

Evaluate the exponent, : 1 over i89

Re-order terms so constants are on the left

Answer:

The given expression comes out to have the value 3.02

(NOTE: IMPORTANT: Please check if the 2nd term is 63 and not 64, if the 2nd term is 64, then the evaluation comes out to be, 12/4 = 3)

Step-by-step explanation:

We have the expression,

\((144^{1/2})(63^{-1/3})\\So, \ evaluating,\\(\sqrt{144})/(63^{1/3})\\12/\sqrt[3]{63})\\ =12/3.979\\=3.02\)

The volume of the solid obtained by rotating about the x-axis the region enclosed by the curves is 32π/5 cubic units.

In this problem, we are asked to find the volume of a solid obtained by rotating a region enclosed by curves about the x-axis. We will use integration to calculate the volume.

First, let's sketch the region and the solid we need to find the volume of.

The region is enclosed by the curves

=> y = 16 /(x² + 16), y = 0, x = 0, and x = 4.

When we rotate this region about the x-axis, we get a solid with a hole in the center, shaped like a donut.

To find the volume of this solid, we can use the method of cylindrical shells.

We start by taking a thin strip of the region, parallel to the y-axis, and of width dy. This strip has height y, and we rotate it about the x-axis to get a cylindrical shell of thickness dy and radius x.

The volume of this cylindrical shell is given by the formula V = 2πxy dy, where x is the distance from the y-axis to the edge of the shell.

To express x in terms of y, we can solve for x in the equation

y = 16 /(x² + 16).

y(x² + 16) = 16

x² = 16/y - 16

x = √(16/y - 16)

Now we can substitute x into the formula for V to get:

V = 2πx(16/(x² + 16)) dy

\(= 2\pi(16/y - 16)^{1/2}(16/y) dy \\\\= 32\pi(y - y^{3/2}) dy\)

To find the total volume, we integrate this expression from y = 0 to y = 1 (since the maximum value of y is 16/16 = 1):

\(\int_0^1 32\pi(y - y{(3/2)}) dy = 32\pi/5\)

Therefore, the volume of the solid obtained by rotating the region about the x-axis is 32π/5 cubic units.

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Answer:

3b-1 = b-3

2b = 4

b = 2

Step-by-step explanation:

Answer:

x+113=180

Step-by-step explanation:

it's because of parallelogram property that opposite sides are parallel so being parallel this indicates co interior angle and it's sum is 180 so ,x+113=180,x=180_113,x=67 ans

Answer:

In romania I was doing this in the 6th grade

Step-by-step explanation:

5.

A B and D C are parallel lines.

"slope" means inclination. and as you can imagine, parallel lines must have the same inclination, or they would not be parallel.

so, the slope of D C must be also 2/7.

4.

same thing as with 5.

both lines are parallel and must therefore have the same slope.

so, the slope of D C is also 3/4. and the first answer is correct.

Answer: Answer:    2/5. Step-by-step explanation: The prime numbers from 1 to 20 are 2, 3, 5, 7, 11, 13, 17 and 19. A total of 8. ... = 2/5. Still stuck? Get 1-on-1 help

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

What is the probability of rolling a prime number of a standard 20-sided die? (1 is not a prime number.)

a.

7/20

b.

2/5

c.

9/20

d.

1/2

Answer:

Step-by-step explanation:

When it's clear, the easiest way to do the problem is to used the x and y  intercepts.

This question is one of the clear one.

The x intercept is 2,0

The y intercept is 0,1

You want the slope.

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

y2 = 1

y1 = 0

x2 = 0

x1 = 2

m = (1 - 0)/(0 - 2)

m = 1 / -2

m = -1/2

In this case the slope and gradient have the same value --   - 1/2 or - 0.5

We have found that: AB = (BD/2) * (XZ/AY) and we can solve for BD:

BD = 2 * AB * AY / XZ

What is triangle?

A triangle is a three-sided polygon with three angles. It is a fundamental geometric shape and is often used in geometry and trigonometry.

Since BD is a median of triangle ABC, it divides side AC into two equal parts. Let's label the midpoint of AC as M. Similarly, YW is a median of triangle XYZ and it divides side XZ into two equal parts, with the midpoint labeled as N.

Since AABC~AXYZ, we know that the corresponding sides are proportional. Thus,

AB/AX = AC/AY = BC/BZ

Since AB = BC (given that B is a vertex of both triangles), we have:

AB/AX = AC/AY

We can rewrite this equation as:

AB/AC = AX/AY ----(1)

Since BD is a median of triangle ABC, we have:

BD = 1/2 AC ----(2)

Similarly, since YW is a median of triangle XYZ, we have:

YW = 1/2 XZ ----(3)

From equation (1), we have:

AB/AC = AX/AY

Multiplying both sides by AC, we get:

AB = AX * (AC/AY)

Now, using equation (2), we can substitute AC/2 for BD:

AB = AX * BD/AY

Finally, using equation (3), we can substitute XZ/2 for YW:

AB = (BD/2) * (XZ/AY)

Therefore, we have found that:

AB = (BD/2) * (XZ/AY)

Hence, we can solve for BD:

BD = 2 * AB * AY / XZ

Note that we need to know the actual values of AB, AY, and XZ to find BD.

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The degree measure of \($\angle sap$ is $726^\circ - 4 \times \angle sop$.\)

Angel is a geometric figure that can be described as the amount of rotation between two straight line or planes and angles is measured in degree with the full circle being 360°.

We can use the following formula to calculate the degree measure of $\angle sap$:

\($\angle sap = 4 \times \angle sop - 174^\circ$\)

Therefore, \($\angle sap = 4 \times \angle sop - 174^\circ = 4 \times (180^\circ - \angle sop) - 174^\circ = 726^\circ - 4 \times \angle sop$\)

Therefore, the degree measure of  \($\angle sap$ is $726^\circ - 4 \times \angle sop$.\)

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∠G+∠H+∠J=180 and ∠K+∠L+∠M=180 from the angle sum property of triangle, ∠H=∠L (3rd Angle Theorem) and ∆GHJ≅∆KLM from ASA congruency theorem.

In the given question we have to prove ∆GHJ congrurnce ∆KLM.

Given that: ∠G≅∠K, ∠J≅∠M, \(\over{HJ}\) ≅ \(\over{LM}\).

As given that;

∠G≅∠K

∠J≅∠M

\(\over{HJ}\) ≅ \(\over{LM}\)

So from the angle sum property of triangle

∠G+∠H+∠J=180................(1)

∠K+∠L+∠M=180.................(2)

Now equation equation 1 and 2

∠G+∠H+∠J=∠K+∠L+∠M

As we know that ∠G=∠K, ∠J=∠M

So now the expression is

∠G+∠H+∠J=∠G+∠L+∠J

After solving ∠H=∠L (3rd Angle Theorem)

Since, ∠H=∠L, HJ=LM and ∠G=∠K, so from the theorem Angle Side Angle(ASA) congruency,

∆GHJ≅∆KLM

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Answer:

708

Step-by-step explanation:

trust me

Answer:

1/6 < 2/11

Step-by-step explanation:

1/6 = 2/12

2/11 >2/12

So that means 1/6 < 2/11

Answer:  1/6 < 2/11

This is the same as saying 11/66 < 12/66

===========================================================

Explanation:

1/6 is the same as 11/66 when multiplying top and bottom by 11.

2/11 is the same as 12/66 when multiplying top and bottom by 6.

The 6 and 11 multipliers are from the original denominators (just swapped).

We can see that 11/66 is smaller than 12/66, simply because 11 < 12, so that means 1/6 is smaller than 2/11

-----------------

Here's one way you could list out the steps

11 < 12

11/66 < 12/66

1/6 < 2/11

------------------

Here's another way to list out the steps. First assume that 1/6 and 2/11 are equal. Cross multiplication then leads to

1/6 = 2/11

1*11 = 6*2

11 = 12

Which is false. But we can fix this by replacing every equal sign with a less than sign

1/6 < 2/11

1*11 < 6*2

11 < 12

---------------------

Yet another way to see which is smaller is to use your calculator or long division to find the decimal form of each value

1/6 = 0.1667 approximately

2/11 = 0.1818 approximately

We see that 0.1667 is smaller than 0.1818, which must mean 1/6 is smaller than 2/11.

After answering the presented question, we may conclude that  the solution of the expressions are as follows.

In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression (such as addition, subtraction, multiplication, or division) is made up of numbers, variables, and functions. It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the phrase 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +.

the solution of the expressions are as follows -

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At a price of $3, the total revenue will be the greatest, and the company will sell 3 units at that price.

To find the total revenue at each price, we can multiply the price by the corresponding quantity.

Price        Quantity          Total Revenue

$6                0                      $0

$5                 1                       $5

$4                 2                       $8

$3                 3                        $9

$2                 4                         $8

$1                  5                          $5

To find the price at which total revenue is the greatest, we look for the highest value in the Total Revenue column.

In this case, the highest total revenue is $9, which occurs when the price is $3.

At a price of $3, the company will sell 3 units (as indicated in the Quantity column).

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Answer:

C π/2

Step-by-step explanation:

Amplitude: 1

Period: π2

Phase Shift: None

Vertical Shift: None

Answer:

154

Step-by-step explanation:

the formula for the area of a trapezoid is (base+base/2)*height:

12+16=28

28/2=14

14x11=154

Answer is 154

The angle measure of x is 115°.

A parallelogram is a four-sided shape with two sets of parallel sides, which means that opposite sides are both parallel and have equal length. Parallelograms also have opposite angles with the same measure, and their diagonals intersect at the midpoint and bisect each other. This results in the parallelogram being divided into two triangles that are congruent. Examples of parallelograms include rectangles, squares, and rhombuses, and they are commonly used in both geometry and everyday life, particularly in the design of buildings and other structures.

We can call this figure ACDEF. Let us join CB.

Now we can see that BDEF is a parallelogram. Opposite angles of a parallelogram are equal, hence ∠DBF = ∠DEF = x°

And also consider the triangle ABC,

∠BAC = 50°

∠ABC = 180 - ∠DBF = 180° - x° (linear pair)

∠ACB = 180 - ∠ACD = 180° - x° (linear pair)

We know that all the angles of a triangle adds up to 180°.

Using this we can find x°:

∠BAC + ∠ABC + ∠ACB = 180°

50° + 180° - x° + 180° - x° = 180°

-2x° + 410 = 180°

-2x° = 180° - 410° = -230°

x° = -230/ -2

x ° = 115°

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The amount of money she will have to pay for booking of the holidays would be = £220

The total amount of money that will cost Merrisa for booking of holidays = £660

The fraction of the total cost that she needs to deposit = 1/3

Therefore, the actual amount that she needs to deposit = 1/3 of £660

= 1/3× 660

= £220

Therefore, in conclusion, Merrisa would have to pay a total of £220 for booking of the holidays. This total amount is ⅓ of total cost of booking.

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Answer:

Area of a rectangle =  l × w

=  1.4 × 2.1

=  2.94 meters ^2

hope it helps. sorry if its wrong. this is my own knowledge