test the hypothesis using the​ p-value approach. be sure to verify the requirements of the test. h0: p

Answer:

18.3

18.3 only has three significant figures while the other numbers have more

For the given graph we have:

Domain [-4, 7]

Range [-5, 7]

For a function y = f(x) we define the domain as the set of the inputs and the range as the set of the outputs.

To identify the domain on a graph we need to see the horizontal axis, here we can see that the graph starts at x = -4 and ends at x = 7, then the domain is [-4, 7]

For the rangewe need to look at the vertical axis, here we can see that it starts at y = -5 and ends at y = 7

Then the range is [-5, 7]

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Step-by-step explanation:

they are both linear functions. A function is linear when the degree on X is equal to 1

\(m\angle E=\sin \dfrac{\sqrt{10}}{2\sqrt5}=\sin \dfrac{\sqrt2}{2}=45^{\circ}\)

The object be should be placed 6.67cm from the lens so as to form its real image on the screen.

f is given as +5cm

v is given as +20cm

Since we are dealing with real image then /u/ > F/

Then, 1/f = 1/v -1/u

if we substitute the values we have,

1/u = 1/20 -1/5

then u= -6.67cm

Therefore, object be should be placed 6.67cm from the lens so as to form its real image on the screen.

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The width is 8 cm and the length is 10 cm. Given that the length of a rectangle is 2 cm greater than the width and the area is 80 cm². We are to find the length and width.

The area of a rectangle is given as: A = l × w and the length is 2 cm greater than the width. l = w + 2 cm.

We are given that the area is 80 cm².

A = l × w₈₀

= (w + 2) × w₈₀

= w² + 2w.

Rearrange the terms to form a quadratic equation

w² + 2w - 80 = 0

We need to solve this quadratic equation using the formula as shown below: x = (-b ± sqrt(b² - 4ac))/(2a), Where a = 1, b = 2 and c = -80.

Substituting these values in the formula above:

x = (-2 ± √(2² - 4(1)(-80)))/2(1)x

= (-2 ± √(4 + 320))/2x

= (-2 ± √(324))/2.

We can simplify this expression by taking the square root of 324 which gives us:

x = (-2 ± 18)/2x₁

= (-2 + 18)/2

= 8 cm (Width)x₂

= (-2 - 18)/2

= -10 cm (Not possible as width cannot be negative).

Therefore, the length is:

l = w + 2 = 8 + 2

= 10 cm.

Therefore, the width is 8 cm and the length is 10 cm.

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Answer:

so hard :/

lol XD

srry :(

The derivatives of the given functions are:f'(x) = (cos(x) - (1-x)sin(x)) + (4xsin(x) + 2x²cos(x)),g'(s) = 174s,

and y' = 2t²(-cosec²t + sec(t)tan(t)) + (sec(t) - sec²(t)tan(t))/cos²(t).

To find the derivatives of the given functions, we can use the rules of differentiation.

a) Let's find the derivative of f(x) = (1-x)cos(x) + 2x²sin(x) + 3S:

Using the product rule, the derivative is:

f'(x) = (cos(x) - (1-x)sin(x)) + (4xsin(x) + 2x²cos(x)).

b) Now let's find the derivative of g(s) = s² + 85s + 2:

Using the power rule, the derivative is:

g'(s) = 2s(85s + 2) + s²(0 + 0) = 170s + 4s = 174s.

c) Finally, let's find the derivative of y = 2t²csct + tsect - tant:

Using the product and quotient rule, the derivative is:

y' = 2t²(-cosec²t + sec(t)tan(t)) + (sec(t) - sec²(t)tan(t))(1 - tan²(t))/(1 - tan(t))² = 2t²(-cosec²t + sec(t)tan(t)) + (sec(t) - sec²(t)tan(t))/cos²(t).

Therefore, the derivatives of the given functions are:

f'(x) = (cos(x) - (1-x)sin(x)) + (4xsin(x) + 2x²cos(x)),

g'(s) = 174s,

and y' = 2t²(-cosec²t + sec(t)tan(t)) + (sec(t) - sec²(t)tan(t))/cos²(t).

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The Laplace transform of the given function \((t)-{: 01277 1, 0\)is given by:

\(L{(t)-{: 01277 1, 0} = L{(t - 1)e^(-2t) u(t - 1)} + L{e^(-2t) u(t)}\) where u(t) is the unit step function.

Step-by-step solution is given below: Given function is (t)-{: 01277 1, 0Laplace transform of the given function is \(L{(t)-{: 01277 1, 0}=L{(t-1)e^-2t u(t-1)}+L{e^-2t u(t)}\) Where u(t) is the unit step function.

We have to find the Laplace transform of the given function.\((t)-{: 01277 1, 0 = (t-1)e^-2t u(t-1) + e^-2t u(t)\)Laplace Transform of \((t-1)e^-2t u(t-1) = L{(t-1)e^-2t u(t-1)}= e^{-as} * L{f(t-a)} = e^{-as} * F(s)So, (t-1)e^-2t u(t-1) = 1(t-1)e^-2t u(t-1)\)

Taking Laplace transform on both sides,\(L{(t-1)e^-2t u(t-1)} = L{1(t-1)e^-2t u(t-1)}= e^{-as} * L{f(t-a)}= e^{-as} * F(s)= e^{-as} * L{e^{at}f(t)}= F(s-a) = F(s+2)\)(On substituting a = 2)

Now, Let's solve \(L{e^-2t u(t)}\)

Taking Laplace transform on both sides,\(L{e^-2t u(t)}= e^{-as} * L{f(t-a)}= e^{-as} * F(s)= e^{-as} * L{e^{at}f(t)}= F(s-a) = F(s+2)\) (On substituting a = 2) Laplace transform of the given function L{(t)-{: 01277 1, 0}= L{(t-1)e^-2t u(t-1)} + L{e^-2t u(t)}= F(s+2) + F(s+2)= 2F(s+2)= 2L{e^-2t} = 2 / (s+2)

Hence, the Laplace transform of the given function is 2 / (s+2) which is a transfer function of a system with a first-order differential equation.

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Three mathematical concepts Sets, relation, function a strong tool for storing and analysing data is relational data.It is based on three crucial mathematical ideas. The correct answer is b. a domain a tuple

Relation and functions what they do Understanding the ideas in Mathematics a strong tool for storing and analysing data is relational data. It is built on sets, relations, and functions, three fundamental ideas in mathematics. In a relational database, sets are collections of items like tables, columns, and rows.

Relations are the connections between items in a set, such as the connections between database columns and rows. Functions are the rules that specify how objects and the connections between them interact, such as the rules that specify how a query behaves. Relational data can be arranged and managed with the use of these mathematical ideas in order to store and analyse data effectively.

Complete question:

On which three mathematical concepts is the relational data structure based? Select all that apply.

a. a variable

b. a domain a tuple

c. a relation

d. a table

e. an equation

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Answer:

a) \(b=\frac{8}{3}\)

c) \(f=\frac{7}{8}\)

a) Using cross multiplication, you would get: 9b + 6 = 30.

   This means that 9b = 24, so b = 24/9.

   24/9 can be simplified into 8/3

   b = 8/3

b) Using the same method as before- cross multiplication...

   12 - 3f = 5f + 5.

   This means 8f + 5 = 12.

   So you simplify it to 8f = 7.

   f = 7/8

Answer:

288.4m

Step-by-step explanation:

This track is split into a rectangle and two semi-circles.

We can find the length of the semi-circles by finding its circumference with the formula \(2\pi r\).

\(2\cdot3.14\cdot30\\188.4\)

However this is half a circle, so:

\(188.4\div2=94.2\).

There are two semi-circles.

\(94.2\cdot2=188.4\)

Since there are two legs of 50m each, we add 100 to 188.4

\(188.4+100=288.4\)m

Hope this helped!

Answer:

Step-by-step explanation:

To solve for the perimeter, we first look at the rectangle in the middle. the length is 50m, and there are two sides to it, so: 50 * 2 = 100m for the top and bottom of the track.

For the circle, we can see the diameter is 30m. To solve for the circumference, we need to use the formula 2πr.

15 * 2π ≈ 94.2477796077

We add that to 100m and get:

194.2477796077

Answer:

It's D, because the point intercepts at (0, 3), which is 3 up from the y position. What the difference is from this graph and the others is that this graph has a y-intercept of positive 3, and starts at an x point of -3. The x and y values should be inverted in order for this to be correct, so that is why option D is correct.

Hope this helps!

Answer:

-1

Step-by-step explanation:

sub in the values of x, y and z into the equation

you get:

(-3)(-4)/(-2)(6)

= 12/-12

= -1

Answer: -1

Step-by-step explanation:

xz/-2y, given x=-3, y=6, and z=-4

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

 xz/-2y

=(-3)(-4)/-2(6) ⇔ substitute x y and z value

=12/-12 ⇔ calculate it

=-1 ⇔ simplify fraction

Hope this helps!! :)

Please let me know if you have any question

Answer:

Where is the diagram?

Step-by-step explanation:

Where is the diagram?

The rate of interest at which Dylan invested is 3.09%.

The practice of adding interest to the principal of a loan or deposit is known as compound interest, sometimes known as interest on principal and interest. It happens when interest is reinvested, added to the collateral for the loan rather than paid out, or when the borrower is forced to pay it, resulting in interest being created on the principal amount plus any accumulated interest the following period. Compound interest is a prominent concept in finance and economics.

Compound interest allows interest to accumulate over time, in contrast to simple interest, which does not compound because past interest is not returned to the principle for the present period.

principal =360

time =5 years

n=5×4=20 (compounded quarterly)

Amount = 420

Now: 420 = 360(1+r)²⁰

solving for r we get:

r= 0.007737

required rate percent = 0.007737×4 = 0.00193 × 100 = 3.09%

hence the simple annual interest rate is obtained by multiplying the interest per period by the total number of periods in a year is 3.09%.

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Answer:

6) not equivalent

7) equivalent

Step-by-step explanation:

6)

2 (3x - 5)

6x - 10

6x - 8 ≠ 6x - 10

7)

2 - 2 + 5x

5x

5x = 5x

Answer:

(6.) not equivalent

Step-by-step explanation:

6x-8

2(3x-5)

2*3x=6x

2*-5= -10

Answer= 6x-10

(7.) equivalent

5x

2-2+5x

2-2=0

0+5x=5x

Answer: 360

Step-by-step explanation:

done

The value of integer k is -5.

Polynomial equations formed with variables, exponents and coefficients .

Since the polynomial has three integer roots, we can express it as:

(x - r1)(x - r2)(x - r3) = 0

where r1, r2, and r3 are the three integer roots.

Expanding the left-hand side, we get:

x^3 - (r1 + r2 + r3)x^2 + (r1r2 + r1r3 + r2r3)x - r1r2r3 = 0

Comparing this with the given polynomial, we see that:

r1 + r2 + r3 = 1

r1r2 + r1r3 + r2r3 = k

r1r2r3 = 3

First we need to find the value of k. From the first equation, we see that one of the roots must be 1, since the sum of three integers that are not 1 cannot be 1. Without loss of generality, assume that r1 = 1. Then we have:

r2 + r3 = 0

r2r3 = 3

Since the roots are integers, the only possibility is r2 = -3 and r3 = 1.

Therefore, we have:

k = r1r2 + r1r3 + r2r3 = 1(-3) + 1(1) + (-3)(1) = -5

Therefore, the value of integer k is -5.

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24/3=8

Therefore one third of the can is 8 liters.

24-8=16.

Peter has to fill 16 liters.

The actual distance in miles between the campsite and the trail is 9 miles.

Map can be defined as  a symbolic depiction emphasizing relationships between elements of some space such as objects and regions.

To convert from centimeters on the map to miles, we use the scale of 1 centimeter represents 5 miles.

So, 1.8 centimeters on the map represents 1.8 * 5 = 9 miles in real life.

Therefore, The actual distance in miles between the campsite and the trail is 9 miles.

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Answer: u have to surond the permiter with people you like to help you with it

Step-by-step explanation:

Answer:

Step-by-step explanation:

x -12 > 0

x > 12

if x > 12   x-12

if x = 12     0

if x < 12     12-x

The resultant equation after multiplying the equation 2x - 3y = 7 with 2 is  4x - 6y = 14

Algebraic expressions in mathematics are equations or expressions that have at least one variable and one constant. These algebraic expressions connect the numerous variables and constants through two fundamental mathematical processes, addition, and subtraction.

Here we have

2x - 3y = 7 is an equation multiplied by 2

=> 2 × ( 2x - 3y)  = 2 × 7

Multiply each term of the equation with 2

=>   2 × 2x - 2 × 3y = 2 × 7

=> 4x - 6y = 14

Therefore,

The resultant equation after multiplying the equation 2x - 3y = 7 with 2 is  4x - 6y = 14

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Answer:

47°

Step-by-step explanation:

45+88= 133

180-133=47

Answer:

1.) A. 8/9

2.) C. 4/9

3.) B. 7/11

4.) D. 10/3

5.) C. 0.06 (repeating)

Step-by-step explanation:

Answer:

C. 4(x-3)^2+2

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

x  from 3 to 1 = 1/3

y  from 18 to 6 = 6/18 = 1/3

Answer:

The answer it's c. Point C

Answer:

The answer is x² + 6x + 4

Step-by-step explanation:

(x + 3)² - 5

We know the identity

(a + b)² = a² + 2ab + b²

Now,

(x + 3)² - 5

x² + 2(3)(x) + 3² - 5

x² + 6x + 9 - 5

x² + 6x + 4

Thus, The answer is x² + 6x + 4