use differentials to approximate the value of sqrt(99.4). what is the percent error oin this calculation

The bearing of L from C is 50°.

First  we need to use the concept of transitive bearings. Given the bearing of the ship R from lighthouse L as 220°, and the fact that canoe C is equidistant from R and L,

we can set up a pair of complementary angles to find the bearing of L from C.

Since C is due North of R, the bearing of R from C is 90°. Then, the bearing of L from R is 90° + 220° = 310°.

To find the bearing of L from C, we subtract this angle from 180°.

Therefore, the bearing of L from C is 180° - 310° = 50°.

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The value of x is 0.645 and x= 4.645.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

x² + 4x-3=0

Now, using Completing the Square method we have to half the coefficient of x and add and subtract the square.

then, x² + 4x-3=0

x² + 4x-3 + 2² - 2² =0

x² + 4x + 2² -3  - 2² =0

(x+ 2)² - 7 = 0

(x+ 2)² = 7

x+ 2= ±2.645

x= 0.645 and x= 4.645

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Answer:

The trip took 2.5 hours

Step-by-step explanation:

Answer:

1. 8 minutes and 30seconds

Step-by-step explanation:

Divide 17*2= 8.5

The best estimate for the blue shark population would be = 234.

The total number of blue sharks that was tagged and released = 36 blue sharks.

The total number of sharks that the government corral = 130.

The number of sharks among the corral sharks that are tagged = 20

Since 130 = 20

X. = 36

Make X the subject of formula;

X = 130× 36/20

= 468/20

= 234.

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Answer:

y=-2/6+5

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want a system of equations and their solution for the number of shots of each type if the total number is 52 and the points from 1- and 2-point shots total 89.

Let x and y represent the numbers of 1- and 2-point shots, respectively. The problem description tells of two relations:

  x + y = 52 . . . . . . . total of shots is 52

  x + 2y = 89 . . . . . . total of points is 89

Subtracting the first equation from the second, we get ...

  (x +2y) -(x +y) - (89) -(52)

  y = 37

Then the first equation tells us ...

  x = 52 -y = 52 -37 = 15

The team made 15 1-point shots and 37 2-point shots.

The solution of the system is X = -73/53 and Y = -2/53.

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given:

System of equations,

5X + 3Y = -7  {equation 1}

6X - 7Y = -8   {equation 2}

From equation 1,

Y = (-7-5X)/3

Substituting the value to the equation 2,

6X - 7{(-7-5X)/3} = -8

18X + 49 + 35X = -24

53X = -24 - 49

53 X = -73

X = -73/53

And Y = -2/53

Therefore, X = -73/53 and Y = -2/53.

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Answer:

Step-by-step explanation:

The range of the brain volumes is:

Range = highest value - lowest value = 1498 cm³ - 906 cm³ = 592 cm³

According to the range rule of thumb, the standard deviation can be estimated as:

Standard deviation ≈ Range / 4

Standard deviation ≈ 592 cm³ / 4 ≈ 148 cm³

The estimate of the standard deviation is within 15 cm³ of the exact standard deviation of 171 cm³, so it can be considered accurate according to the given criteria. However, note that the range rule of thumb is a very rough estimate and may not be very accurate in all cases.

Answer:

The range rule of thumb suggests that the estimated standard deviation is approximately 18.2 cm³. This estimate is within 15 cm³ of the exact standard deviation of 171 cm³, indicating that it is accurate.

Answer:

x = 9

Step-by-step explanation:

⅔x = 6

3/2 × ⅔x = 3/2×6

½ × 2 = 3×3

x = 9

Answer:

8.468579573930919e+40

2.768574091477416e 41

Step-by-step explanation:

Work Shown:

(r+b-g)(b+g)

(9+5-(-6))(5-6)

(9+5+6)(5-6)

(20)(-1)

-20

The graph backs up the assertion that India is unlikely to be a serious competitor in the steel production industry in the future because China, Japan, and the US have far more experience producing steel than India does.

A group of businesses or organisations that offer comparable goods or services is referred to as an industry. A few examples of the factors that can be used to define an industry include the kind of products or services they offer, their manufacturing procedures, the technology they use, or the customers they aim to serve. Development of industries was a result of the Industrial Revolution.

The graph shows that China, Japan, and the US all have a lot more experience making steel than India does, and India is not expected to become a significant competitor in the near future. Notwithstanding the nation's economic crisis, the industry—despite being one of the sectors that suffered the most—continues to play a vital role in the expansion of the economy.

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Answer:

57 ft

Step-by-step explanation:

Solution Given:

BC =40ft it also known as a.

<C=55°

<B=90°

<C=180-90-55=35°

height of the building =? also known as c

we have

law of sines
[tex]\frac{Sin A}{a} =\frac{Sin B}{b}=\frac{Sin C}{c}[/tex]

By inserting value[tex]\frac{Sin 35}{40} =\frac{Sin 55}{c}[/tex]

you can take any two what you want
doing criss cross multiplication

Sin 35*c=Sin55*40

we get
c=sin55 * 40 /Sin35

c=AB=57.12 ft in nearest 10 it is 57 ft

The future value of the loan is $1,333.86

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Given that;

Values are,

P = 1250, r = 3.31 and t = 2 years

Now, We know that;

⇒ Amount = P (1 + r)ⁿ

Substitute all the values we get;

⇒ Future value = 1250 (1 + 3.31/100)²

⇒ Future value = 1250 (1 + 0.033)²

⇒ Future value = 1250 (1.033)²

⇒ Future value = 1250 × 1.067

⇒ Future value = $1,333.86

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According to the dendrogram, the complete linkage distance between the cluster containing {10, 13} and the cluster containing {4, 20} is 2.577 units.

A dendrogram is a type of diagram that is used to represent the structure of a set of objects, where the objects are linked together in a hierarchy.

Now, let's take a closer look at the dendrogram that displays the complete linkage distance between the cluster containing {10, 13} and the cluster containing {4, 20}.

In this case, the maximum distance is

=> 20 - 4 = 16 units.

Next, we need to normalize the distance by dividing it by the square root of the number of data points in the two clusters. In this case, there are 4 data points in total, so the normalized distance is

=> 16 / √4 = 4.

Finally, we can use the formula for the complete linkage distance, which is given by

D = √2 * (1 - x),

where x is the normalized distance. Plugging in our values, we get

D = √2 * (1 - 4) = √2 * -3 = -2.236 units.

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Answer:

x^2=1

3x=+3

2=+2

Step-by-step explanation:

answers

1

3x

+2

hope it helps

Answer:

get a life

Step-by-step explanation:

The present value of the estimated toll revenue for the proposed highway construction is approximately $31,333,333.33.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Now, Using the formula for the present value of an annuity, with a rate of 6% and 20 years, we get:

Present Value = $2,000,000 [ (1 - (1+0.06)⁻²⁰) / 0.06 ]

                      = $2,000,000 [ (1 - 0.312) / 0.06 ]

                       = $31,333,333.33

So, the present value of the estimated toll revenue for the proposed highway construction is approximately $31,333,333.33.

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The Euclidean distance between (1.0, 6.1) and (3.3, 8.7) is 3.48, rounded to 1 decimal place.

The Euclidean distance formula  is used to calculate the distance between two points in a two-dimensional plane. The formula for Euclidean distance between two points (x1, y1) and (x2, y2) is given by:

[tex]d = √(x2-x1)2 + (y2-y1)2[/tex]

For our two points, (1.0, 6.1) and (3.3, 8.7), the Euclidean distance is:

[tex]d = √(3.3-1.0)2 + (8.7-6.1)2 \\ = √(2.3)2 + (2.6)2 \\ = √5.29 + 6.76 \\ = √12.05 \\ = 3.48[/tex]

Therefore, the Euclidean distance between (1.0, 6.1) and (3.3, 8.7) is 3.48, rounded to 1 decimal place.

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Answer: E. x > 3

Step-by-step explanation:

Step 1: Subtract 20 from both sides.

−5x +20 − 20 < 5 − 20

−5x < −15

Step 2: Divide both sides by -5.

−5x/−5 < −15/−5x

x > 3

On a number line, it would look like this:

Answer: 80%

Step-by-step explanation:

Large Buttons=64

Small buttons = 16

64+16=80 (the total amount of buttons she got)

64/80 * 100%

0.8 * 100%

80%

Eva got an 80% of large buttons

Answer:

16-3y

Step-by-step explanation:

9+7= 16

16-3y. first u do the ones that the same and don't have a letter after them. then you do the letter which in this case u just put the minus sign befor and it cokes out to 16-3y.

Possible echelon forms for matrix are:

 [tex]\left[\begin{array}{ccc}Y&&\\0&Y&\\0&0&Y\\0&0&0\end{array}\right][/tex]

A collection of integers organised in rows and columns to form a rectangular array. The numbers are referred to as matrix elements or entries. Matrices are widely used in engineering, physics, economics, and statistics, as well as in many disciplines of mathematics. Matrices have also found usage in computer graphics, where they have been utilised to represent picture rotations and other transformations.

If there are m rows and n columns, the matrix is said to be an “m by n” matrix, written “m × n.” For example,  

                                                             [tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\end{array}\right][/tex]  its a 2×3 matrix.

The proof of the theorem proves that the columns, say, A and B must be independent.

In the matrix, there is linearity and the trivial solution would be [ 0, 0 , 0 , 0] for the matrix to exist. In other words, all the unknowns must be zero.

This establishes the fact that the matrix T needs to be independent for the matrix function, say T (x) to be one-to-one.

By definition, one-to-one is ker (T) = {0}

Thus, the null space is occupied only by the zero vector.

Note: if there was no linear independence in the vectors, the solution would not be zero in the vector.

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He has to replace around 1775 square feet of yard, therefore after adding the 4 inches, he will require a total of 592 cubic feet of earth.

An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure. The square unit, which is frequently expressed as square inches, square feet, etc., is the accepted unit of area.

My calculations show that my Neighbour would save $20 by collecting the soil themselves. According to my calculations, he has to replace around 1775 square feet of yard, therefore after adding the 4 inches, he will require a total of 592 cubic feet of earth.

On the other hand, the man's truck can hold 110,400 cubic inches of dirt, and we know that we need 1,023,000 cubic inches of dirt, so we did a cubic feet to cubic inches calculation and found that it will take us 10 loads to get all the dirt. The shipping company charges $30 to deliver 18 cubic yards of dirt, but our neighbour needs about 22 cubic yards, so they will need to take 2 trips totaling $60 to get all the dirt. Since the store is 9 miles away, it will take 18 miles to transport each load of dirt.

With a total distance of 180 miles to travel and my neighbor's truck getting 17 miles per gallon, our estimated gas consumption is 10.6 gallons. At $3.79 per gallon, the 10.6 gallons of gas we'll need will cost us about $40. This indicates that we will save $20 by picking up the dirt ourselves rather than having it delivered.

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Answer: 1,2,4,8,16

Step-by-step explanation: All of the factors of a number multiply to equal a certain number.

Answer:

a

Step-by-step explanation:

Congruent shapes are shapes that are exactly the same. The corresponding sides are the same and the corresponding angles are the same. To do this we need to check all the angles and all the sides of the shapes. as you can see they are exactly the same

Answer:

Step-by-step explanation:

Similar

The number of years its to make 3,480 is approximately 23 years.

If a constant rate of growth be R% per annum, then population after n years = P(1+R/100)ⁿ.

Given that, the population of a colony started with 1,120 grows at an annual rate of 4.98%.

Here, A =3480

Now, 3480=1,120(1+4.98/100)ⁿ

(1+4.98/100)ⁿ=3480/1,120

(1.0498)ⁿ=3.107

Take the logarithm of both sides of the equation to remove the variable from the exponent.

Exact Form:

n=ln(3.107)/ln(1.0498)

Decimal Form:

n=23.32644715

Therefore, the number of years its to make 3,480 is approximately 23 years.

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The surface area of the pyramid is 25 + 10h.

A three-dimensional shape is a pyramid. A pyramid's flat triangular faces unite at a common point known as the apex and have a polygonal base. The bases are joined to the peak to create a pyramid. The lateral face is a triangle face formed by the connection of each edge of the base to the apex.

Given:

A pyramid with the square base.

The side of the base is 5 unit.

So, the surface area of the pyramid,

= base area + 1/2 x perimeter of base x slant height

= (5 x 5) + 1/2 x (4 x 5) + h

= 25 + 10h

Hence, surface area is 25 + 10h.

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The Scientific notation of [tex]$0.09 \cdot\left(9 \times 10^{-4}\right)$[/tex] be 0.000081.

Very big or very small numbers can be written using scientific notation. Once a number between 1 and 10 has been multiplied by a power of 10, it is then expressed in scientific notation.

Simple numerical writing is what scientific notation is. Because it is shorter and more efficient and indicates magnitude very easily, it is particularly helpful for expressing very large or very small values. Every real number can be expressed as the product of two parts: an integer power of ten and a decimal part.

Let the equation be [tex]$0.09 \cdot\left(9 \times 10^{-4}\right)$[/tex]

Apply exponent rule: [tex]$\quad a^{-b}=\frac{1}{a^b}$[/tex]

[tex]$=9 \times 0.09 \times \frac{1}{10^4}$$[/tex]

Multiply fractions: [tex]$\quad a \times \frac{b}{c}=\frac{a \times b}{c}$[/tex]

[tex]$=0.09 \times \frac{1 \times 9}{10^4}[/tex]

[tex]$& \frac{1 \times 9}{10^4}=\frac{9}{10000} \\[/tex]

simplifying the above equation, we get

= 0.09 × 9/10000

Multiply fractions: [tex]$\quad a \times \frac{b}{c}=\frac{a \times b}{c}$[/tex]

= 9 × 0.09/10000

= 0.81/10000

Divide the numbers: 0.81/10000 = 0.000081

= 0.000081

Therefore, the Scientific notation of [tex]$0.09 \cdot\left(9 \times 10^{-4}\right)$[/tex] be 0.000081.

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Answer:

2/8 because if their is 6/8, it's denominator is 8 meaning out of 8 so 8/8 - 6/8 = 2/8 of Mario's Rope.