Triangle HOP has coordinates H (2, 1), O (-3, 4), and P (5, 7). Determine the coordinates of the
image of AHOP after each rotation.
a A rotation 90° clockwise about the origin
b) A rotation 90° counterclockwise about the origin
A rotation 180° about the origin

Answer:

there................

Step-by-step explanation:

Greetings !

Given expression :-

[tex]h(x) =3 x + 2[/tex]

Goal:-

Find

[tex]h(x + 1)[/tex]

Thus,

plug in x+1 in the first expression as follows;

[tex]h(x + 1) = 3(x + 1) + 2[/tex]

Expand:-

apply distributive law:-

[tex]a(b + c) = ab + ac[/tex]

solve

[tex]3(x + 1) = 3x + 3.1 \\ = 3x + 3 + 2[/tex]

add the numbers:- 3+2 = 5

Finally we get

[tex]h(x + 1) = 3x + 5[/tex]

Hope it helps !!!

There is two statement will be needed for lines A&B to be parallel linesin Angle .

Given that

To find

So according the question

We have

There are two angles from the c and d lines with the lines a and b being equal that can be used to determine whether the lines a and b are parallel.

That's mean

                                              m∠1 = (4x-10)°                            

                                               m∠2 = (58)°          

                                               m∠2 = 58°          

Answer: There is two statements are true,

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Answer:

21

Step-by-step explanation:

-19+26= 7

7+14= 21

Answer: I hope this helps.

Step-by-step explanation:

Answer:

f(9) = -161

Step-by-step explanation:

Given function:

[tex]\sf -2x^2 + x - 8[/tex]

To find f(9), substitute x = 9 in the function:

[tex]\rightarrow \sf -2(9)^2 + 9 - 8[/tex]

[tex]\rightarrow \sf -2(81) + 9 - 8[/tex]

[tex]\rightarrow \sf -162 + 9 - 8[/tex]

[tex]\rightarrow \sf -161[/tex]

Threat-asset matrices can be constructed, but not vulnerability-asset matrices.

What is vulnerability information security?

A security system weakness, fault, or error that could be used by a threat agent to compromise a secure network is known as a security vulnerability.

What do you think is the primary threat for service providers?

Inadvertent acts, potential human mistake or failure, potential variations in service quality by service providers, and power anomalies are among the main dangers to physical security.

The different types of vulnerability

In the table below four different types of vulnerability have been identified, Human-social, Physical, Economic and Environmental and their associated direct and indirect losses.

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The time in which the snowfall will be equal in both towns is 1.5 hours.

The time in which the snowfall will be equal in both towns is calculated as follows;

The equation becomes;

4 + 3x = 1 + 5x

collect similar terms together

4 - 1 = 5x - 3x

3 = 2x

divide both sides by 2

3/2 = 2x/2

3/2 = x

1.5 hours = x

Thus, the time in which the snowfall will be equal in both towns is 1.5 hours.

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The cost of filling your gas tank if it is already 38 38 full. $48.88 required to fill the gas tank if it is already 38% full.

Money do you spend on gasoline is $72.46 is spends on that trip.

Given that

To find

So according the question

We have

Now, for finding

a.) The cost of filling your gas tank if it is already 38 % full.

      38 % of 25 gallon = 9.5 gallon

      the unfilled part of the tank  = 25-9.5 = 15.5 gallon

      So the tank can filled 15.5 gallon of gasoline more now.

      The cost of 15.5 gallon of gasoline

                                   = 15.5 × cost of 1 gallon of gasoline

                                   = 15.5 × 2.96

                                   = $45.88

b.) How much money spend on gasoline on the trip of 705 miles.

    ∵ Car can travelled in 1 gallon of gasoline = 28.8 miles.

    ∴ Gasoline required to travel 705 miles = [tex]\frac{705}{28.8}[/tex]

                                                                        = 24.48 gallon.

      The cost of 24.48 gallon of gasoline

                                   = 24.48 × cost of 1 gallon of gasoline

                                   = 24.48 × 2.96

                                   = $72.46    

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Answer:

They have played 14 games

Step-by-step explanation:

5/8 and 2/8 is 7/8 of the time, but if 3/8 is 6 then 1/8 is 2, 2*7 is 14

There are 1106 different ways for him to choose the meal.

For given question,

In a restaurant there are 7 starter dishes, 14 main dishes and 9 desserts.

The possibilities of selecting a starter = 7

The possibilities of selecting a main dish = 14

The possibilities of  selecting a dessert = 9

The meal combinations are: a starter dish and a main dish; a main dish and dessert; a starter dish, main dish and dessert dish.

The possibility of selecting each meal combinations would be,

1) a starter dish and a main dish = 7 × 14

                                                     = 98  

2) a main dish and dessert = 14 × 9

                                             = 126

3) a starter dish, main dish and dessert dish

   = 7 × 9 × 14

  = 882

We need to find the total number of different ways to choose the meal.

= 98 + 126 + 882

= 1106

Therefore, there are 1106 different ways for him to choose the meal.

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Answer:

126 books/month= 14 books a month

books/1months = 14

Step-by-step explanation:

126/9=14

Answer:

14 books per month

Step-by-step explanation:

[tex]\frac{126books}{9 months}[/tex] = [tex]\frac{14books}{1month}[/tex]

The factor by which radius of the sphere be changed is 1.91, which is calculated hy applying the concepts of surface area and volume on the assigned problem.

What do you mean by volume?

Volume is defined as the 3D measurement that deals with the amount of space required by an object. It is always calculated in cubic units. Its basic unit is cubic metre.

Calculation of the change in radius of sphere when its volume is increased by 7

Let the radius and volume of sphere be r and v respectively

Volume of sphere, v = 3.16 × ( r )3            —- 1

Now, changed radius, R = xr

Where x is the factor, we need to calculate

Changed volume, V = 7v = 3.16 × ( R )3          -— 2

From equations 1 and 2, we get,

7v / v = ( R )3 / ( r )3

7 = ( xr )3 / ( r )3

7 = (x)3 × 1

Taking cube root both sides,

x = 1.913

Hence, the factor by which radius of the sphere be changed is 1.91.

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The value of x in the figure is 4

From the attached figure, we have the following parameters:

DE = x + 1

BC = 4x - 6

The triangles ADX and ABC are similar triangles

Based on the representation of the sides, we have:

BC = 2 * DE

So, we have

2 * (x + 1) = 4x - 6

Expand

2x + 2 = 4x - 6

Evaluate the like terms

2x = 8

Divide by 2

x = 4

Hence, the value of x in the figure is 4

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The unknown quantity which is the radius has a length of  49752/π yards.

The formula for the length of arc is;

S = rθ

where;

r is radius

θ is the central angle in radians

Now, we are given;

θ = 3π/4

S = 4146 * 9 yards

Thus, making r the subject and solving gives;

r = S/θ

r = (4146 * 9)/(3π/4)

r = 49752/π

Thus, the unknown quantity which is the radius has a length of  49752/π yards.

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Answer:

The thousandths place.

Step-by-step explanation:

4 is furthest away from the decimal on the right side and it is in the thousandths place.

The weight of the egg is 15.79 grams.

Normal Distribution:

Normal distribution, refers the probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Given,

The normal model n(58,21) describes the distribution of weights of chicken eggs in grams.

suppose that the weight of a randomly selected chicken egg has a z-score of -2.01.

Here we need to find the weight of the egg and we have to round off it to the nearest hundredth of gram.

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

So,

X ~ n(58, 21)

Where this means the value of

σ =  21

[tex]\mu[/tex] = 58

Apply the values on the formula,

[tex]Z=\frac{x-\mu}{\sigma}[/tex]

=> -2.01 = (x - 58) / 21

=> -2.01 x 21 = x - 58

=> -42.21 + 58 = x

=> x = 15.79

So, the weight of the egg is 15.79 grams.

When we round off it to the nearest hundredth then we get,

=> 15.79

Because there is no hundredth term in this one.

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Answer:

My best guess is 172.05

Step-by-step explanation:

Answer: The answer is from sanakhatri5.

Step-by-step explanation: Area of star is 81.25cm

By using fundamental concepts of fractions we can conclude that Jarome can make 6 [tex]\frac{7}{8}[/tex] pizzas with the leftover cheese.

Fractions are one of the most important aspects of arithmetic that we use in our daily lives. Fractions are denoted by the symbol / (also known as the fractional line) and represent a numerical value that is a portion of the total value, for example, a/b. Formulas for fractions aid in the development of rules for performing the four basic arithmetic operations of addition, subtraction, multiplication, and division.

Given data:

Cheese used for making 2 [tex]\frac{3}{4}[/tex] pizza = 2 [tex]\frac{1}{2}[/tex]

Cheese used for making 1 pizza = 2 [tex]\frac{1}{2}[/tex] ÷ 2 [tex]\frac{3}{4}[/tex]

Cheese used for making 1 pizza = 10/11

Number of pizza pies that can be made from 6 [tex]\frac{1}{4}[/tex] cheese = 6 [tex]\frac{1}{4}[/tex] ÷ 10/11

Number of pizza pies that can be made from 6 [tex]\frac{1}{4}[/tex] cheese = 55/8

Number of pizza pies that can be made from 6 [tex]\frac{1}{4}[/tex] cheese = 6 [tex]\frac{7}{8}[/tex].

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Answer:

Either 83 or 103

Step-by-step explanation:

If you count piano as homework, the answer is 103. If piano is not homework, the answer is 83.

The height of the tree is 80 feet

The given parameters are:

The above parameters can be represented as:

Building : Shadow of the building = Tree : Shadow of the tree

This gives

40 : 9 = Tree : 18

Express as fraction

40/9 = Tree/18

Multiply both sides by 18

Tree = 80

Hence, the height of the tree is 80 feet

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The height of the silo is 56 feet.

Here, we are given that a large grain silo is to be constructed in the shape of a circular cylinder.

The diameter of the silo = 30 feet

⇒ The radius of the cylinder = 15 feet

and also the radius of the hemisphere = 15 feet

The volume of a hemisphere = 2πr^3/3

Volume = 2 × π × 15 × 15 × 15 × 1/3

Volume of cube = 2250π

Thus, the volume of cylinder = volume of the silo - volume of the hemisphere

= 11,475(3.14) - 2250π

π = 3.14

⇒ 11,475(3.14) - 2250(3.14)

3.14 (11,475 - 2250)

= 3.14 (9225)

= 9225π

Now, the volume of cylinder = πr^2h

Thus, 9225π = π(15) (15) h

9225π/ 225π = h

h = 9225/225

h = 41

Thus, the height of the cylinder = 41

The height of the silo will be the height of hemisphere + height of the cylinder = 15 + 41 = 56 feet.

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The simplified radical expression for this problem is given by:

[tex]3x^2y^3z\sqrt[3]{3xz^2}[/tex]

To simplify the given radical expression, we divide all the exponents by 3, and the ones that can be simplified are placed outside the root, multiplying.

Looking at each term, we have that:

Thus, the simplified radical is given by:

[tex]3 \times \sqrt[3]{3} \times x^2 \times \sqrt[3]{x} \times y^3 \times z \times \sqrt[3]{z^2}[/tex]

[tex]3x^2y^3z\sqrt[3]{3xz^2}[/tex]

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The given statement states that the parametrization of both the tangent line there at designated position is 7x - 4y = 3.

Finding parametric equations of a curve, a surface, or, more generally, a manifold or a variety, specified by an implicit equation, is the process of parametrization (or parameterization; see parameterization, parametrization). Implicitization is the term for the opposite process.  The parametrization consists of one function of multiple real variables for each coordinate since the state of the system is typically controlled by a finite set of coordinates. The system's degree of freedom is equal to the number of parameters.

r(t) = cos(6t), sin(3t) , t = 4

= -6sin6t, 3cosjt , 1

The parameter of Tangent live is

L(t) = γ(t₀) + tr'(t₀)

therefore

γ(t₀) = γ(ππ₄)

= (0 , 1/√2 , π/4)γ (+0)  =  γ(π/4)

= ( 6, -3/√2 , 1)

putting in the formula we get:

L(t) = γ(t₀) + tr'(t₀)

L(t) = (0 , 1/√2 , π/4) + t( 6, -3/√2 , 1)

= [tex]\left(6 t-\frac{1}{\sqrt{2}}-\frac{3}{\sqrt{2}} t, \frac{\pi}{4}+t\right)$$[/tex]

= 2.

Given

f(x, y ) = in(7x² - 4y²)

at the point(1, 1)

Δ f (m, y) = (fn , f4)

= [tex]\frac{14 x}{7 n^2-4 y^2}, \frac{-8 y}{7 x^2-4 y^2}\\\\[/tex]

Δ f (1, 1)

= [tex]\left\langle\frac{14}{3}, \frac{-8}{3}\right\rangle[/tex]

= (a ,b)

The equation of the tangent plane is

a(x - x₀) + 6dy - y₀ = 0

(14/3)(x - 1)- (8/3)(y -1 ) = 0

14x - 14 - 8y + 8 = 0

14x - 8y = 6

7x - 4y = 3

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Answer:

this is the answer assuming the equation was meant to be simplified.

Step-by-step explanation:

Answer:

then solve it .....

Step-by-step explanation:

y did u post it if u knew

Answer:

the answer is b

jsjsjsjsjsjsjsjsjsjsjsjsjsjsjs

Answer:

thank me later that's is the answer

The function that represents the total amount he charges is y = 80 + 65x and the total amount he charges for designing 5 rooms is $405

The given parameters are

Charge = $80

Rate = $65 per design

The function is then calculated as

y = Charge + Rate * x

Where

y represents the total amount

x represents the number of rooms

So, we have

y = 80 + 65x

Here, we have

x = 5

So, we have

y = 80 + 65 x 5

Evaluate

y = 405

Hence, the total amount he charges for designing 5 rooms is $405

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The simplification of the equation - 2 = 2 + v/4 is v = - 16.

Equation, which is defined as the quality of being equal, is frequently represented by a mathematical expression with equal values on either side or by a situation in which numerous factors must be taken into account.

Consider the equation,

-2 = 2 + v/4

The equation can be rewritten as:

-2 = 2/1 + v/4

The least common multiple or LCM of 1 and 4 is 4.

-2 = ( 2 × 4) / (1 × 4) + v /4

-2 = 8/4 + v/4

-2 = ( 8 + v) /4

Multiplying each side of the equation by 4

- 2 × 4 = [ ( 8 + v ) / 4 ] × 4

- 8 = 8 + v

Subtracting each side of the equation by 8.

- 8 - 8 = 8 + v - 8

v = - 16

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