Solve it (Easy question) :
\(\lim_{x \rightarrow 1} \cfrac{x {}^{2} - 25 }{x {}^{2} - 5 }\)
​

In order to calculate the surface area, consider the following formula:

S = 2l·w + 2l·h + 2w·h

where

w: width = 7 m

l: length = 9 m

h: height = 5 m

replace the previous parameters into the formula for S:

S = 2(9 m)(7 m) + 2(9 m)(5 m) + 2(7 m)(5 m)

S = 126m² + 90m² + 70m²

S = 286m²

Hence, the surface are of the given figure is 286m²

Answer:

30 = 6

45 = x

cross multiply

30x = 45*6

30x = 270

divide both sides by

30x/30 = 270/30

X = 9

9-6 = 3 days

Answer:348

Step-by-step explanation:

For composite prisms, where the bases are a composite shape, the area of the bases is the sum of the areas of the parts it is made of. The volume of the composite prism is then given by multiplying the whole base area by the height of the prism.In math, volume is the amount of space in a certain 3D object. For instance, a fish tank has 3 feet in length, 1 foot in width and two feet in height. To find the volume, you multiply length times width times height, which is 3x1x2, which equals six. So the volume of the fish tank is 6 cubic feet.

Answer:

\( 1,205.8\: {ft}^{3} \)

Step-by-step explanation:

Given object is made up of cylindrical and conical parts.

Fir cylindrical part:

r = 16/2 = 8 ft

h = 4 ft

For conical part:

r = 16/2 = 8 ft

h = 6 ft

Volume of the object = Volume of cylinderical part + Volume of the conical part

\( = \pi {r}^{2} h + \frac{1}{3} \pi {r}^{2} h \\ \\ =\pi \times {8}^{2} \times 4 + \frac{1}{3} \times \pi \times {8}^{2} \times 6 \\ \\ = 64\pi \times 4 + \frac{1}{ \cancel3} \times 64\pi \times \cancel6 \\ \\ = 64\pi(4 + 2) \\ \\ = 64\pi \times 6 \\ \\ = 384\pi \\ \\ = 384 \times 3.14 \\ \\ = 1,205.8 \: {ft}^{3} \)

Answer: D

Step-by-step explanation:

Answer:

  see attached

Step-by-step explanation:

You want the graph of the circle defined by the equation ...

  (x-2)^2 + (y-7)^2 = 4.

The equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

Comparing this to the given equation, we see ...

  h = 2, k = 7, r² = 4

Then r = √4 = 2.

The circle will have its center at (2, 7) and will have a radius of 2. It is shown in the attached graph.

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Answer:

5/9

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

11

The value of x is 9 cm, and angle O is 0 degrees.

To solve the triangle LMN and find the values of x and angle O, we can use the Law of Cosines and the Law of Sines. Let's go step by step:

(i) To find the value of x, we can use the Law of Cosines. According to the Law of Cosines, in a triangle with sides a, b, and c, and angle C opposite to side c, the following equation holds:

c^2 = a^2 + b^2 - 2ab * cos(C)

In our case, we want to find side NM (x), which is opposite to angle N. The given sides and angles are:

LN = 12 cm

NK = 6 cm

KM = 8 cm

Let's denote angle N as angle C, side LN as side a, side NK as side b, and side KM as side c.

Using the Law of Cosines, we can write the equation for side NM (x):

x^2 = 12^2 + 6^2 - 2 * 12 * 6 * cos(N)

We don't know the value of angle N yet, so we need to find it using the Law of Sines.

(ii) To find angle O, we can use the Law of Sines. According to the Law of Sines, in a triangle with sides a, b, and c, and angles A, B, and C, the following equation holds:

sin(A) / a = sin(B) / b = sin(C) / c

In our case, we know angle N and side NK, and we want to find angle O. Let's denote angle O as angle A and side KM as side b.

We can write the equation for angle O:

sin(O) / 8 = sin(N) / 6

Now, let's solve these equations step by step to find the values of x and angle O.

To find angle N, we can use the Law of Sines:

sin(N) / 12 = sin(180 - N - O) / x

Since we know that the angles in a triangle add up to 180 degrees, we can rewrite the equation:

sin(N) / 12 = sin(O) / x

Now, we can substitute the equation for sin(O) from the Law of Sines into the equation for sin(N):

sin(N) / 12 = (6 / 8) * sin(N) / x

Now, we can solve this equation for x:

x = (12 * 6) / 8 = 9 cm

So, the value of x is 9 cm.

To find angle O, we can substitute the value of x into the equation for sin(O) from the Law of Sines:

sin(O) / 8 = sin(N) / 6

sin(O) / 8 = sin(O) / 9

9 * sin(O) = 8 * sin(O)

sin(O) = 0

This implies that angle O is 0 degrees.

Therefore, the value of x is 9 cm, and angle O is 0 degrees.

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The figure for the given question is provided here :

The set of ordered pairs above: is a function.

The mapping diagram above: is a function.

y = x²: is a function.

The table above: is not a function.

In Mathematics and Geometry, a function is a mathematical equation which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.

Based on the set of ordered pairs, mapping diagram, and the equation above, we can reasonably infer and logically deduce that it represent a function because the input values (domain, x-value, or independent values) are uniquely mapped to the output values (range, y-value or dependent values).

In this context, we can reasonably infer and logically deduce that the table does not represent a function because the input value (-1) has more than output values (2 and 4 respectively).

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Answer:

Step-by-step explanation:

A

Answer:

YES

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Using an online finance calculator, the yield to maturity (YTM) of the Ashburn Company's bond at a coupon rate of 8.9 percent paying semiannual interest and selling at 113% of par value is 7.45%.

The Yield to maturity (YTM) is the total return, expressed as an annual rate, anticipated by a bondholder on a bond if it is held until its maturity date.

The maturity date refers to the date when the principal of a fixed investment is repaid at the maturity value.

The yield to maturity can also be computed using the following formula:

YTM = [(Face value/Bond price)1/Time period]-1.

Face (par) value = $100

Bond current price = $113 ($100 x 113%)

Annual coupon rate = 8.9%

Coupon frequency = Semi-annually

Years to maturity = 15 years

Result:

Yield to maturity (YTM) = 7.45%

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Answer:

Step-by-step explanation:

Step 1:First Make 3/4 and 5/6 into like fractions.Find the L.C.M of 4 and  

            6,which is 12.

            3*3/4*3=9/12

             5*2/6*2=10/12

Step 2:Subtract 9/12 from 10/12,which is 1/12.

Answer: 114.8

Step-by-step explanation: first multiply 76 times 3.28 (249.28) then multiply 11 by 3.28 (364.08) and subtract to get your awnser

Answer: yes

Step-by-step explanation:

The greatest common factor of 196 and 140 is 28. The ticket is $28 and thats less than $35, so you can afford to buy a ticket. Also 196/28 = 7 and 140/28 = 5, and thats more than one ticket. So yes, you can afford to buy a ticket.

i might be wrong.

Answer:

Can you give a picture of what we are answering

Step-by-step explanation:

Answer:

There are 54 granola bars left.

Answer:

y=-5x+5

Step-by-step explanation:

The answer for the above expression is 16/9.

An expression is a combination of numbers, variables, and mathematical operations, such as addition, subtraction, multiplication, division, exponentiation, and root extraction, that represents a mathematical quantity or a mathematical statement. An expression can be as simple as a single number or variable, or it can be a complex combination of several numbers, variables, and operations.

According to the given information:

The expression "\((\frac{3}{4} )^{2}\)" represents the fraction "3/4" raised to the power of "-2". In mathematical notation, this is written as "\((\frac{3}{4} )^{-2}\)".

To calculate this value, we can use the rule that a negative exponent is equivalent to taking the reciprocal of the base raised to the positive exponent. Therefore, "\((\frac{3}{4} )^{-2}\)" is equal to the reciprocal of "3/4" raised to the power of "2", or "\(\frac{1}{(\frac{3}{4} )^{2}}\)".

Evaluating this expression, we get:

\((\frac{3}{4} )^{-2}\)= \(\frac{1}{(\frac{3}{4} )^{2}}\) = \(\frac{1}{(\frac{9}{6})^{2} }\)= 16/9

So, "\((\frac{3}{4} )^{-2}\)" is equal to 16/9.

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The surface area of the pyramid is 74.25 square meters.

Surface area is the total area that the surface of an object occupies. It is the sum of the areas of all the faces, sides, and curved surfaces of an object. Surface area is usually measured in square units, such as square meters, square feet, or square centimeters.

A pyramid is a polyhedron with a polygonal base and triangular faces that meet at a common vertex (known as the apex). Pyramids are named according to the shape of their base.

In the given question,

The area of the base is simply the area of a square, which is:

Area of base = length x width = 4.5m x 4.5m = 20.25 square meters

To find the area of each triangular face, we first need to find the length of the slant height (the height of the triangle).

We can use the Pythagorean theorem to do this:

h²= (1/2 x base)² + height²

h² = (1/2 x 4.5)² + 6²

h² = 2.25 + 36

h² = 38.25

h = √38.25

h = 6.18 meters (rounded to two decimal places)

Now that we know the slant height, we can find the area of each triangular face:

Area of one triangular face = (1/2 x base x height) = (1/2 x 4.5 x 6) = 13.5 square meters

Since there are four triangular faces on a square pyramid, we need to multiply this by 4 to find the total area of the triangular faces:

Total area of triangular faces = 4 x 13.5 = 54 square meters

Finally, we can find the surface area of the pyramid by adding the area of the base and the area of the triangular faces:

Surface area = Area of base + Total area of triangular faces

Surface area = 20.25 + 54

Surface area = 74.25 square meters

Therefore, the surface area of the pyramid is 74.25 square meters.

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The probability of landing on the red shaded circle is 6/18

Probability simply measures the chances at which an event could occur in a sample or population.

Mathematically, Probability is calculated thus:

Here ,

P(red circle ) = 6/18

Therefore, the probability is 6/18

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Answer:

In the middle of a day

Step-by-step explanation:

1) Make it an actual equation

\(3x+5=2x^{2} +8x+2\)

2) Cancel integers

\(3x + 3 = 2x^{2} + 8x\)

3) Get rid of no exponent variables

\(0 = 2x^{2} + 5x - 3\)

4) Factor :D

\((2x - 1)(x+3)\)

5) Solve

2x - 1 = 0

x + 3 = 0

They will meet at -3 days (Which doesn't exist!!!) and 1/2 a day.

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I didn't use graphing, nor did I double check my work but I'm quite sure its correct, i'll edit this answer with a graph for brainliest tho :>

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Edit: Eh i'll add a graph cause i'm nice ;-;

let

x------> the first integer

y------> the second integer

z-----> the third integer

x < y < z < 25

we know that

Median=13

Median=(x+y+z)/3

13=(x+y+z)/3

x+y+z=39------> equation 1

range=10

The range is the difference between the largest number within the set and the smallest number in the set

so

range=z-x

z-x=10------> z=x+10-----> equation 2

to find the solution we will assume different values ​​of x (See the attached table)    

terms

x < y < z < 25

z=x+10

y=39-z-x

The solution can be

7,15,17

8,13,18

9,11,19    

According to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570 the number of female population is 43,11,50,122.

To find the wide variety of girl population, we will subtract the quantity of male population from the full population.

Total population = 88,51,84,692

Number of male = 45,40,34,570

Number of female = Total population - Number of male

= 88,51,84,692 - 45,40,34,570

= 43,11,50,122

Therefore, the number of female population is 43,11,50,122.

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Answer:

a = 0.9

Step-by-step explanation:

For the quadratic equation \(\boxed{ax^2 + bx + c = 0}\) to have exactly one real root, the value of its discriminant, \(\boxed{b^2 - 4ac}\), must be zero.

For the given equation:

\(y = ax^2 - 6x + 10\),

• a = a

• b = -6

• c = 10.

Substituting these values into the formula for discriminant, we get:

\((-6)^2 - 4(a)(10) = 0\)

⇒ \(36 - 40a = 0\)

⇒ \(36 = 40a\)

⇒ \(a = \frac{36}{40}\)

⇒ \(a = \bf 0.9\)

Therefore the value of a is 0.9 when the given quadratic has exactly one root.

Answer:

your answer will be second opinion

Step-by-step explanation:

y= 2x

hope it helps you

have a wonderful day!!!

Answer:

i think its c

Step-by-step explanation:

Answer:

I believe it's C... I may be wrong though

Step-by-step explanation:

hav a good day :D

Answer: 12, 13, 14

Explanation: This was on my test last week and this is the correct answer.

Answer:

18, 19, 20

Step-by-step explanation:

We can have the lowest number be \(x\), and the second and third numbers be \(x+1\) and \(x+2\). Now we have the equation \(x+x+1+x+2=x+39.\)

\(3x+3=x+39\\\\2x=36.\)

x=18, so the numbers are 18, 19, and 20.

42 1/2 ( aka 85/2) as a percent is 4250%.

To convert a percentage to a fraction, we can write the percentage as a fraction with a denominator of 100 and then simplify.

42 1/2 % can be written as:

42 1/2 % = 42.5/100

To simplify this fraction, we can divide the numerator and denominator by their greatest common factor, which is 2.

42.5/100 = (42.5 ÷ 2) / (100 ÷ 2) = 21.25/50

Next, we can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 25.

21.25/50 = (21.25 ÷ 25) / (50 ÷ 25) = 17/40

Therefore, 42 1/2 % is equal to 17/40 as a fraction in its simplest form.

Brainliest?

Answer:

Step-by-step explanation:

40 x 1 = 40

20 x 2 = 40

10 x 4 = 40

8 x 5 = 40