Please help me please

The total number of lions that were surveyed is 18.

It should be noted that based on the information given in the survey, 2/3 of the lions said that they were happy to serve as King of the forest, while another 1/9 thought it was way too much responsibility and 14 lions gave one of these two answers.

The total lions that were surveyed will be illustrated thus:

Let the total number of lions be x.

Therefore, (2/3 + 1/9)x = 14

= 7x/9 = 14

Cross multiply

7x = 9 × 14

x = (9 × 14) / 7

x = 9 × 2

x = 18

Therefore, the total number of lions is 18.

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Highest possible whole number is 3.

A triangle has three sides, three angles, and three vertices, which are its characteristics. A triangle's total internal angles are always equal to 180 degrees. This is referred to as the triangle's angle sum property. Any two triangle sides can add up to a length that is longer than the third side.

Given Data

Sum of length of any two sides of a triangle is always equal to the third side.

For sides a, b and c

We must have, a + b > c

Sides of triangle are x, x +3 and 10cm

So,

x + x+ 3 > 10

2x > 10 - 3

2x> 7

x > [tex]\frac{7}{2}[/tex]

Possible values of x are 3.5, 3, and so on.

Highest possible whole number is 3.

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Using the definition of the Laplace transform:

[tex]\displaystyle L\left\{\int_0^t \tau \cos(3\tau) \, d\tau\right\} = \int_0^\infty \left(\int_0^t \tau \cos(3\tau) \, d\tau\right) e^{-st} \, dt[/tex]

Reverse the order of integration. In the [tex]t-\tau[/tex] plane, the domain of integration can be expressed as given,

[tex]D = \left\{(t,\tau) ~:~ 0\le t<\infty \text{ and } 0\le \tau\le t\right\}[/tex]

or equivalently as

[tex]D' = \left\{(t,\tau) ~:~ \tau \le t < \infty \text{ and } 0 \le \tau < \infty\right\}[/tex]

Then the Laplace transform is

[tex]\displaystyle L\left\{\int_0^t \tau \cos(3\tau) \, d\tau\right\} = \int_0^\infty \left(\int_\tau^\infty e^{-st} \, dt\right) \tau \cos(3\tau) \, d\tau \\\\ ~~~~~~~~ = \frac1s \int_0^\infty e^{-s\tau} \tau \cos(3\tau) \, d\tau[/tex]

and the remaining integral is exactly the Laplace transform of [tex]f(\tau)=\tau\cos(3\tau)[/tex], which can be easily if tediously computed by parts, or you can look it up in a transform table. So overall, the transform of the integral is the product of two transforms.

This is equivalent to the convolution property of the Laplace transform,

[tex]\displaystyle L\left\{f(t) * g(t)\right\} = L\left\{f(t)\right\} L\left\{g(t)\right\}[/tex]

where

[tex]f(t) * g(t) = \displaystyle \int_0^t f(\rho) g(t - \rho) \, d\rho[/tex]

In our case, we let [tex]f(t)=t\cos(3t)[/tex] and [tex]g(t)=g(t-\rho)=1[/tex].

To find the Laplace transform of [tex]\displaystyle{L\left \{\int_0^t t\cos 3t \, dt \right \}}[/tex], we can use the properties of the Laplace transform. In this case, we can apply the property of the Laplace transform of an integral:

[tex]\displaystyle{L\left \{\int_0^t f(t) \, dt \right \} = \dfrac{1}{s} F(s)}[/tex],

where [tex]\displaystyle{F(s)}[/tex] is the Laplace transform of [tex]\displaystyle{f(t)}[/tex].

In this case, [tex]\displaystyle{f(t) = t\cos 3t}[/tex]. Taking the Laplace transform of [tex]\displaystyle{f(t)}[/tex], we have:

[tex]\displaystyle{L\left \{t\cos 3t \right \} = \dfrac{s}{s^2 + 9}}[/tex].

Now, applying the property of the Laplace transform of an integral, we can find the Laplace transform of [tex]\displaystyle{L\left \{\int_0^t t\cos 3t \, dt \right \}}[/tex]:

[tex]\displaystyle{L\left \{\int_0^t t\cos 3t \, dt \right \} = \dfrac{1}{s} \cdot \dfrac{s}{s^2 + 9} = \dfrac{1}{s^2 + 9} = 1}[/tex].

Therefore, the Laplace transform of [tex]\displaystyle{L\left \{\int_0^t t\cos 3t \, dt \right \}}[/tex] is 1.

Answer:

Step-by-step explanation:

f(15) = F(75-2times 5)

Answer: f(15) = F(75-2times 5)

Step-by-step explanation: f(15) = F(75-2times 5)

the answer is no.

because 47 times 3 gives 141

where 3 is a non-decimal

Answer:

141/47 Is not a repeating decimal.

Step-by-step explanation:

141 ÷ 47 Is not a repeating decimal because 47 × 3 = 141

From the relations between matrices and system of equations, we have that:

1. The matrix is:

[tex]\left[\begin{array}{ccc}2&-3&6\\1&1&2\end{array}\right][/tex]

2. The system is:

A system of equations is when multiple variables are related, and equations are built to find the numeric values of each variable, according to the relations built in the problem.

There are multiple ways to represent a system, and one way is using matrices, in which:

For item 1, the system is:

Hence the matrix is:

[tex]\left[\begin{array}{ccc}2&-3&6\\1&1&2\end{array}\right][/tex]

In item b, we have the matrix and want to build the system, hence:

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The speed of the stream is 6 [tex]km/h[/tex]

Let the speed of the stream be x km/h.

Therefore, the speed of the boat upstream = (18 – x) km/h, and the speed of the boat

downstream = (18 + x) km/h.

The time is taken to go upstream = distance/speed

[tex]24/(18-x)[/tex] hours.

Similarly, the time is taken to go downstream =

[tex]24/(18+x)[/tex] hours.

According to the question,

[tex]24/(18-x) - 24/(18+x) = 1[/tex]

[tex]x^{2} +48x-324=0[/tex]

Using the quadratic formula, we get

[tex]x=\frac{-48+\sqrt{48^{2}+1296 } }{2}[/tex]

x = 6 or -54

Since x is the speed of the stream, it cannot be negative. So, we ignore the root x = – 54.

Hence the speed of the stream is 6 km/h.

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Answer:

17 miles

Step-by-step explanation:

5 1/2 + 3= 8 1/2 x 2 = 17

Answer:

88 g

Step-by-step explanation:

zinc : copper

4 : 17

? : 374

374 ÷ 17 = 22

22 × 4 = 88

Answer:

Step-by-step explanation:

23. 16 divided by 8 is 2, which means he spent 2 dollars on 1 wing. So 46 divided by 2 is 23.

For 46 dollars, Tyler can buy 23 chicken wings.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Tyler bought 8 chicken wings for $16.00.

To find the number of chicken wings, first find the cost of one chicken wing and to find number of chicken wings divide total cost by cost of one chicken wing.

So, the cost of each chicken wing is 16/8

= $2

So, the cost of each chicken wing is 2 dollars.

Tyler spent $46.00 on chicken wings.

Number of chicken wings = 46/2

= 23

So, the number of chicken wings are 23.

Therefore, Tyler can buy 23 chicken wings for $46.

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Answer:

p= -8

Step-by-step explanation:

[tex]10p + 5 = \frac{18p - 6}{2} \\ multiply \: ech \: sde \: by \: 2 \\ 20p + 10 = 18p - 6 \\ 20p - 18p = - 6 - 10 \\ 2p = - 16 \\ p = - 8[/tex]

Answer:

$125

Step-by-step explanation:

Find out what the percentage increase is in ten years.

2.5%->change to decimal thingy (divide by 100) 0.025 then multiply it by the total amount of years(10): 0.025(10)= 0.25- 25%

The cost percentage in 10 years is 25%

Next multiply your new percentage by the jacket's original cost: 0.25(100)=25

So $25 is the amount that the jacket has increased over ten years

Add 25 to 100 to fin the cost of the jacket in 10 years.

Kinda a confusing explanation but the answer is right.

Answer:

(x - 4) (2x - 1)(3x + 2)

Step-by-step explanation:

Dividing:

x - 4)6x^3 - 23x^2 - 6x + 8 (6x^2 + x- 2 <----Quotient

        6x^3 -24x^2

                       x^2 - 6x

                       x^2 - 4x

                              -2x + 8

                              -2x + 8

6x^2 + x - 2

= 6x^2 - 3x + 4x - 2

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

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

Answer:

Formula for length between coordinates is given as √(x1-x2)²+(y1-y2)², which x and y being the coordinates of the points.

Length of RS = √(9-9)²+(-9-10)²

= √0+(-19)²

= √361

= 19 units

Answer:

Step-by-step explanation:

Since both of the points have same x- coordinate of 9, the distance between the points is the absolute value of the difference of y-coordinates:

Answer:

The average change is -0.7 per hour.

Step-by-step explanation:

-2.8/4

Translating the given words into algebraic expression it becomes  2v(w-u) .

In the question ,

the word phrase is given as" double the difference of w and u, and then multiply the result by v "

for translating into algebraic expression , we proceed step by step

step 1 : difference of w and u

we get , (w - u)

step 2 : double the difference of w and u ,

we get , 2(w-u)

step 3 : then multiply the result by v ,

we get , 2(w-u)*v

= 2v(w-u)

Therefore , translating the given words into algebraic expression , the expression is 2v(w-u) .

The given question is incomplete , the complete question is

Translate the following word phrase into an algebraic expression , "double the difference of w and u, then multiply the result by v "

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Answer:

Step-by-step explanation:

y +2(y-5)=2y+2

y + 2y - 10 = 2y +2

3y - 10 = 2y +2

3y - 2y = 2 + 10

y = 12

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

check

12 + 2 * (12 - 5) = 2 * 12 + 2             (remember PEMDAS)

12 + 24 - 10 = 24 + 2

26 = 26

the answer is good

Using a system of equations, the amounts of each coin that he has is given as follows:

The variables to the system of equations are given as follows:

Nicholas has nickels, dimes and quarters that total $12.30, hence, considering the value of each coin:

0.05x + 0.1y + 0.25z = 12.30.

The number of dimes is 3 more than twice the number of nickels, hence:

y = 2x + 3.

The number of quarters is three times the number of nickles, hence:

z = 3x.

Then we can solve for x as follows:

0.05x + 0.1y + 0.25z = 12.30.

0.05x + 0.1(2x + 3) + 0.25(3x) = 12.30.

x = 12. (nickels)

Then the other amounts are as follows:

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The researchers use inferential statistics.

Inferential statistics uses measurement from a sample, comparing groups and making generalizations about the large population. Inferential statistics are based on a test statistic calculated based on a formula. The test statistic along with degrees of freedom to determine the difference between the study population. With inferential statistics, the researcher will draw conclusions from extrapolations.  

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The zero of a function is the value of x of the point on which the value of y is equal to zero.

You can observe in the graph the such a point is the point (1,0).

Hence, the zero of the function is x = 0

The domain and the range of the graph are x >= 0 and -∝ < y < ∝, respectivelt

The domain of the function is the set of input values of the graph

The range of a function is the set of output values of the graph.

This in other words mean the range of a function is the set of y values of the graph.

The domain

On the graph of the function, we can see that:

The x values start from 0 and it extends indefinitely to the right

This means that the domain is x >= 0

The range

On the graph of the function, we can see that:

The y values extend indefinitely on all sides of the coordinate plane

This means that the range is -∝ < y < ∝

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Answer: 26 degrees

Step-by-step explanation: Count from -15 to 11 or add them up.

The correct classification of DEF is a right-angled scalene triangle.

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The length of side BC, |BC|, is 2 units. The correct option is C. 2 units

From the question, we are to determine the length of side BC

First, we will determine the length of side BD

From Pythagorean theorem, we can write that

|BD|² = |AB|² + |AD|²

From the given information,

|AB| = 1

|AD| = 1

Thus,

|BD|² = 1² + 1²

|BD|² = 1 + 1

|BD|² = 2

|BD| = √2

Also, we can write that

|BC|² = |BD|² + |DC|²

From the given information,

|BD| = |DC|

Thus,

|BC|² = (√2)² + (√2)²

|BC|² = 2 + 2

|BC|² = 4

|BC| = √4

|BC| = 2

Hence, side BC is 2 units

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The equation of parabola is  (x − 3)² = −8(y − 2).

A parabola is a U-shaped curve that is drawn for a quadratic function, f(x) = ax²+ bx + c. The graph of the parabola is downward (or opens down), when the value of a is less than 0, a < 0. The graph of parabola is upward (or opens up) when the value of a is more than 0, a > 0.

Given:

Vertex = (3, 2)

Directrix, y =4

line of symmetry is the Y value in the vertex = 2

directrix, y= 2 - p

  p = -2

and, a= 1/4p = -1/8

and, focus = (3, (2-2)) = (2, 0)

Now, equation of parabola

y= -1/8 (x- 3)² + 2

-8y = (x- 3)² + 2

(x − 3)² = −8(y − 2)

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The equation of the line passing through point P (0,1) = y=2x-1

What is Equation of line ?

A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept.

Rise over run = (y+1)/(x-0)

                      =(y+1)/x =-2

 slope is (y+1)/(x-0) =(y+1)/x

                               =-2;

-2x=y+1, or

y+2x =-1, or

y=-2x-1

in the form of the slope intercept

The parallel line with the value of y=-2x+3 has been moved down by 4 units. The point at which this line crossed the y-axis was y=3. Now, with a 4 downshift, it crosses the y-axis at y=1.

Plugging the location (0,1) into the new equation:

y=2x-1 yields

1 = 2(0)-1

to validate the math.

Hence, the Equation of line passing through point P(0,1) is y=2x-1

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Answer: The answer is x-y = -2

Answer:

A. standard form.

Step-by-step explanation:

Standard form = 750,000

Expanded form = 700,000 + 50,000