Help! The white shark can grow to a length of 21 feet. This is 35% of the maximum length of the sperm whale. Find the maximum length of the sperm whale. If necessary, round your answer to the nearest tenth.

Answer:

y = -2.5x + 5

Explanation:

Convert -5x - 2y = -10 into slope-intercept form: y = -2.5x + 5

You can start solving for and graphing points by putting numbers in for 'x' in the equation, and the answer you get out will be y.

Ex: -2.5(7) + 5 = -12.5

7 is the number we inserted for x, so it is the x value. -12.5 is the number we got out of the equation, so it is the y value.

The points will now look like this: (x, y) but for the example they would look like (7, -12.5)

Plot the numbers, x being on the horizontal axis, y being on the vertical axis.

Answer:

\(Q(-2,3) \longrightarrow Q'(-1/3, 1/2) \\ \\ R(-3,1) \longrightarrow R'(-1/2, 1/6) \\ \\ T(2,-1) \longrightarrow T'(1/3, -1/6) \\ \\ W(2,4) \longrightarrow W'(1/3, 2/3)\)

Step-by-step explanation:

For a dilation at the origin, multiply each of the coordinates by the scale factor.

\(Q(-2,3) \longrightarrow Q'(-1/3, 1/2) \\ \\ R(-3,1) \longrightarrow R'(-1/2, 1/6) \\ \\ T(2,-1) \longrightarrow T'(1/3, -1/6) \\ \\ W(2,4) \longrightarrow W'(1/3, 2/3)\)

Answer:

x = 11

Step-by-step explanation:

using the rule of logarithms

\(log_{b}\) x = n ⇒ x = \(b^{n}\)

given

\(log_{3}\) (2x + 5) = 3 , then

2x + 5 = 3³ = 27 ( subtract 5 from both sides )

2x = 22 ( divide both sides by 2 )

x = 11

Step-by-step explanation:

(y+7)/(-9+7) = (x+10)/(-5+10)

(y+7)/(-2) = (x+10)/5

5(y+7)=-2(x+10)

5y+35= -2x-20

the equation :

5y=-2x-20-35

devided by 5

=> y = -2/5 x - 11

or y = -0.4x - 11

Answer:

Step-by-step explanation:

\(\frac{2}{5} : \frac{1}{15}\\\)

LCM of the denominator = LCM ( 5 , 15 ) = 15

∴ Now we have to multiply LCM by both the fractions , we get ,

\(\frac{2}{5}.15 : \frac{1}{15}.15\\ 6 : 1\)

Answer:

The slope is 13/9 and the y intercept is -3

Step-by-step explanation:

The slope intercept form of an equation is

y = mx+b where m is the slope and b is the y intercept

13x -9y = 27

Subtract 13x from each side

13x -9y -13x =-13x+ 27

-9y = -13x+27

Divide each side by -9

-9y/-9 = -13x/-9 + 27/-9

y = 13/9 x -3

The slope is 13/9 and the y intercept is -3

Answer:

B, C, E

Step-by-step explanation:

For a rectangle,

area = length × width

Let length = y.

Then the width is y - 5.

A = LW

750 = y(y - 5)

y(y - 5) = 750

y² - 5y - 750 = 0

All equations that can be put in the form above are correct.

A) y(y + 5) = 750

y² + 5y - 750 = 0

No

B) y² – 5y = 750

y² - 5y - 750 = 0

Yes

C) 750 – y(y – 5) = 0

750 - y² + 5y = 0

y²- 5y - 750 = 0

Yes

D) y(y – 5) + 750 = 0

y² - 5y + 750 = 0

No

E) (y + 25)(y – 30) = 0

y² + 25y - 30y - 750 = 0

y² - 5y - 750 = 0

Yes

Answer:

Sure, I can help with that! Here are the steps to solve each problem:

a) Since sin A = 0.6018, we can use the inverse sine function (sin^-1) to find the measure of angle A. Taking the inverse sine of 0.6018 gives us 37.19 degrees rounded to the nearest degree.

b) Since cos B = 0.9205, we can use the inverse cosine function (cos^-1) to find the measure of angle B. Taking the inverse cosine of 0.9205 gives us 23.06 degrees rounded to the nearest degree.

c) Since tan C = 0.0349, we can use the inverse tangent function (tan^-1) to find the measure of angle C. Taking the inverse tangent of 0.0349 gives us 2.00 degrees rounded to the nearest degree.

I hope that helps! Let me know if you need any further assistance.

Answer:

Angle CBA (the last one)

Step-by-step explanation:

Just look at the order of it. It could either be Angle ABC or Angle CBA.

(hope this helps!)

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Answer:

there is no solution

Step-by-step explanation:

x + y = 6 → (1)

x + y = 4 → (2)

subtract (2) from (1) term by term

(x - x) + (y - y) = 6 - 4

0 + 0 = 2

0 = 2 ← false statement

this false statement indicates the equations have no solution

Answer:

x=45

Step-by-step explanation:

i hope its right good luck :)

i think im wrong

Thus, (x+3.2)2+(y+2.1)2=18.49 ( x + 3.2 ) 2 + ( y + 2.1 ) 2 = 18.49 is the equation of the circle with the center at (−3.2,−2.1) and a radius of r=4.3 .

When the centre and radius of a circle are known, how do you determine its equation?

Use the formula (x a) 2 + (y b) 2 = r 2 to determine a circle's equation when you are aware of its radius and centre. Here, stands for the circle's centre, and is its radius. This equation is essentially a variant way of writing the general equation for a circle.

(x - h)2+ (y - k)2 = r2 is the formula for the equation of a circle, where (h, k) stands for the circle's center's coordinates and r for the radius.

We know that the general equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius.

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Answer:

-71.

Step-by-step explanation:

-8-{-1-4[(3 – 6)2 – 25]}

= -8 - {-1 -4[-3)^2 - 25]}

= -8 - {-1 - 4[9 - 25]}

= -8 - {-1 - 4*-16}

= -8 - (-1 + 64)

= -8 - 63

= -71.

The complete statement is that 6+x is an example of an expression

Expressions are mathematical statements that are represented by variables, coefficients and operators

The parameter is given as

6 + x

The above parameter has the following properties:

Recall that expressions are mathematical statements that are represented by variables, coefficients and operators

Hence, the complete statement is that 6+x is an example of an expression

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The correct matches are as follows:

15% of 30 ➔ 4.5

30% of 45 ➔ 13.5

60% of 72 ➔ 43.2

3% of 201 ➔ 6.03

Here is the correct matching of the percent amounts to their respective values:

15% of 30 ➔ 4.5

30% of 45 ➔ 13.5

60% of 72 ➔ 43.2

3% of 201 ➔ 6.03

To determine the values, we multiply the given percent amounts by their corresponding numbers.

For example, to find 15% of 30, we multiply 0.15 (which is the decimal form of 15%) by 30. The result is 4.5.

Similarly, 30% of 45 is obtained by multiplying 0.30 by 45, resulting in 13.5.

60% of 72 is calculated by multiplying 0.60 by 72, giving us 43.2.

Finally, 3% of 201 is obtained by multiplying 0.03 by 201, resulting in 6.03.

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Answer:

Step-by-step explanation:

so brh

Answer:x ≤ 3

Step-by-step explanation:

(14.5x − 5(x + 2) ≤ 4 + 4(4 − 1/8x)
14.5x - 5x-10 ≤ 4 + 16 - 1/2x Get rid of the parenthesis

9.5x-10 ≤ 20-1/2x Combine like terms

10x - 10 ≤ 20

10x/10 ≤ 30/10

x ≤ 3

Answer:

0.025 ;

(-0.7198 ; 0.7698)

Step-by-step explanation:

From the table :

_____________ private schls ___ public schls

Sample size, n _____ 80 __________ 520

P, NBC teachers ___ 0.175 ________ 0.150

P1 = P of  private school teachers

P2 = P of public school teachers

Difference in proportion :

P1 - P12 = 0.175 - 0.150.= 0.025

The 90% confidence interval for 2 - sample proportion :

C.I = (p1-p2) ± [Zcritical * √(p1(1-p1)/n1 + (p2(1-p2)/n2)]

Zcritical at 90% = 1.645

C.I = 0.025 ± [1.645 * √((0.175*0.825)/80 + (0.150*0.850)/520)]

C.I = 0.025 ± [1.645 * √(0.0018046875 + 0.0002451)]

C.I = 0.025 ± 1.645 * 0.0452755

C.I = 0.025 ± 0.07448

C.I = (-0.7198 ; 0.7698)

Step-by-step explanation:

soln;

given; p(x) = x^4 - 3x^3 - 6x^2 + 9

using remainder theorem;

p(x) = p(a)

      = p(2)

      = (2)^4 - 3(2)^3 - 6(2)^2 + 9

      = -23

The quotient is x³ + x² + 2x + 13, the remainder is 16x + 9, and P(2) = -23.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To use the remainder theorem, we need to divide the polynomial P(x) by x-2 and find the remainder.

Performing the polynomial long division, we get:

         x³   - 5x²   - 4x  + 16

x - 2 | x⁴  - 3x³  - 6x²  + 9

         x⁴  + 2x³

     (-)      (-)

         --------

                - 5x³ - 6x²

                - 5x³ + 10x²

               (+)      (-)

                   --------

                         - 16x²  + 9

                           16x²  - 32x

                               --------

                                      -32x + 9

The quotient is x³ - 5x² - 4x + 16, the remainder is -32x + 9.

And,

P(2) = (2)^4 - 3(2)³ - 6(2)² + 9

      = 16 - 24 - 24 + 9

      = -23.

Thus,

The quotient is x³ + x² + 2x + 13, the remainder is 16x + 9, and P(2) = -23.

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Answer:

7 DAYS IN A WEEK

Step-by-step explanation:

MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY SATURDAY SUNDA

7 DAYS

Answer:

it depends... What is X in this situation?

Step-by-step explanation:

A week has seven days.

A day has one day..?

I dont know how to help you, Sorry

Convert the problem to standard form and write the initial tableau with slack variables:

Maximize

\(Z = 7*3 + 6*4 + 18*5 + 14*6 - 3*1 - 3*2 - 4*5 - 4*6\)

Subject to:

\(x1 + x2 + s1 = 4000\\x3 - (1/3)*1 + (1/3)*5 = 0\\x4 - (1/3)*2 + (1/2)*6 = 0\\x3*1 + 3*2 + 3*3 + 3*4 + 3*5 + 2*6 + s2 = 6000\)

All variables are non-negative.

Tableau

 x1  x2  x3  x4  x5  x6  s1  s2   b

Z -3 -3 7 6 18 14 0 0 0

s1 1 1 0 0 0 0 1 0 4000

s2 3 3 3 3 3 2 0 1 6000

x5 0 0 1 0 1/3 0 0 0 0

x6 0 0 0 1 0 1/2 0 0 0

The basic variables are s1, s2, x5, and x6.

Step 1: Choose  entering variable. The most positive coefficient in objective row is 18, corresponding to x5. x5 enters the basis.

Step 2: Choose the leaving variable. The minimum ratio of right-hand side to coefficient of x5 is 12000/(1/3) = 36000,

corresponding to s1. s1 leaves the basis.

Step 3: Perform, pivot operation to make x5 the basic variable for s1. Divide, pivot row by 1/3 and subtract appropriate multiples of the pivot row from other rows to make other entries in column 5 zero.

 x1    x2    x3    x4     x5     x6   s1    s2       b

Z -3 -3 7 6 18 14 0 0 0

x5 0 0 1 0 1/3 0 0 0 0

s2 3 3 3 3 2 2/3 2/3 0 1/3 24000

x3 1 0 1/3 0 1/3 0 -1/3 0 0

x4 0 1 0 1/3 0 1/2 -1/6 0 0

The basic variables are x5, x3, x4, and s2.

Step 4: Choose the entering variable. The most positive coefficient in the objective row is 7, corresponding to x3. x3 enters the basis.

Step 5: Determine the leaving variable. The right-hand side's minimum ratio to the coefficient of x3 is 0, indicating that x3 can be increased without bound. This implies that the optimal solution is unbounded and that there is no finite optimal value for the problem.

As a result, the simplex algorithm demonstrates that the given linear programming problem lacks a feasible solution. This means that it is not possible to meet all of the constraints at the same time.

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Answer:

4

Step-by-step explanation: You have to do y-y over x-x. So -1 minus-5 which equals 4. Then 5 minus 4 which equals 1. So you divide the answers you got 4÷1=4

Answer:

Domain = (-∞, ∞) Range = (-∞, ∞)

End Behavior: As X -> -∞, Y -> -∞ | As X -> ∞, Y -> ∞

Inflection Point: (2,0)

Step-by-step explanation:

Answer: The answer is

Step-by-step explanation:

Answer:

Step-by-step explanation:

since f || h the length of two lines have to be equal

according to the question:

hence,

The linear program shows that there are different attainable arrangements that accomplish the same ideal objective function value..

Based on the given data, since the objective function values at the five corner points are diverse, able to conclude that there's no one-of-a-kind ideal arrangement for this linear program.

The reality that there are numerous distinctive objective function values at the corner points suggests that there are numerous ideal arrangements or that the objective work isn't maximized or minimized at any of the corner points.

In this case, the linear program may have numerous ideal arrangements, showing that there are different attainable arrangements that accomplish the same ideal objective function value.

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Answer:

Step-by-step explanation:

The given equation is a trigonometric expression with complex operations involving tangent, sine, cosine, and inverse cosine functions, and its value is 37.3.

This equation involves multiple applications of trigonometric functions and inverse trigonometric functions to a complex expression. To solve for x, one must simplify the equation by applying the properties of these functions and simplifying the expression.

The expression involves finding the value of inverse cosine, which can be done by using the identity cos^-1(x) = theta, where theta is the angle that satisfies cos(theta) = x. The resulting expression will be a complex equation involving x, which can be solved by various methods, such as numerical or graphical methods.

Here's a general approach to simplifying the equation:

This simplified equation can then be solved for x using numerical or graphical methods, or other mathematical techniques.

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The data that appears to have a consistent rate of change over time or with respect to another variable often appears to be linear.

The data that has a clear trend or pattern that can be represented by a straight line is best modeled using a line.

Linear graphs are useful because they allow us to easily visualize and analyze trends or patterns in data. The equation of a line can also be used to make predictions or forecasts based on the data. Linear graphs can be used to identify correlations between variables and to assess the strength and direction of those correlations.

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