? Question
Which expression is equivalent to this expression?
(-5cd-4)(2cd²)²
O-20c³
O-10c²d-16
-20c²d-16
O-10c³
Submit

Answers

Answer 1

The equivalent expression for the expression (-5cd-4)(2cd²)² is - 20c³d⁵ - 16c²d⁴.

A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression. Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Consider the expression,

(-5cd - 4)( 2cd²)²

Now let x = (-5cd - 4)( 2cd²)²,

Then,

x = (-5cd - 4)( 2cd²)²

x = ( - 5cd -4 ) × (2c)² × (d²)²

x = ( - 5cd - 4) × ( 4c² ) × d⁴

x = ( -5cd - 4 ) × 4c²d⁴

Using the distributive property,

x = ( - 5cd ) ×  ( 4c²d⁴ ) - 4 ×  4c²d⁴

x = - 20 × c³ × d⁵ - 16 ×  c²d⁴

x = - 20c³d⁵ - 16c²d⁴

Therefore, the equivalent expression of (-5cd-4)(2cd²)² is - 20c³d⁵ - 16c²d⁴.

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Related Questions

A gallon of gasoline costs $2.96. Your car has a 25-gallon gas tank and can travel 28.8 miles on each gallon of gasoline.
a. Find the cost of filling your gas tank if it is already 38 38 full.
b. You take a trip of length 705 miles. How much money do you spend on gasoline?

Answers

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

A gallon of gasoline costs $2.96.Gas tank capacity of the given car = 25 gallonThat car can travelled 28.8 miles on each gallon of gasoline.

To find

The cost of filling your gas tank if it is already 38 % full.How much money spend on gasoline on the trip of 705 miles.

So according the question

We have

1 gallon of gasoline =  $2.96.Gas tank capacity = 25 gallon.28.8 miles travelled on each gallon of gasoline.

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

$48.88 required to fill the gas tank if it is already 38% full.

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    

$72.46 is spends on that trip.

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PLEASE HELPP
What must be true for lines a and b to be parallel lines select two options.

Answers

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

m∠2 = 58°m∠1 = (4x-10)°

Given that

A figure that, showing 4 lines a,b,c and d.Angle between line b and c is (4x-10)°Angle between line b and c is 58°.

To find

True statements that prove the lines a and b are parallel.

So according the question

We have

Angle between line a and c = m∠1Angle between line a and d = m∠1Angle between line b and c = (4x-10)°Angle between line b and d = 58°Angle between line c and d = (3x-1)

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

Angle between line a and c = Angle between line b and c

                                              m∠1 = (4x-10)°                            

Angle between line a and d = Angle between line b and d

                                               m∠2 = (58)°          

                                               m∠2 = 58°          

Answer: There is two statements are true,

m∠1 = (4x-10)° and m∠2 = 58°

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I need help and its due Friday! If somone help me if will help so much and ty!!!

Answers

Down 3 on the x axis

Find the sum of -19 + 26 + 14

Please help this is due tonight!

Answers

Answer:

21

Step-by-step explanation:

-19+26= 7

7+14= 21

Answer 21 if you add -19+26 its 7 then 7+14 is 21

h(x)= 3x+2

find h(x+1)​

Answers

Answer- 3x+5

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 !!!

Solve the equation
-2 = 2 + v/4

Answers

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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Helpppp....
The work is due tmr

Answers

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

Solve the math problem

Answers

Answer:

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

Find a parametrization of the tangent line at the point indicated. r(t) = cos(6t), sin(3t) , t = 4

Answers

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

What is parametrization?

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.

According to the given data:

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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Math question is shown in the photo. Fairly easy, not sure why I'm having trouble with such a simple problem lol

Answers

Answer:

then solve it .....

Step-by-step explanation:

y did u post it if u knew

h= -51 will
Be your answer

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. what is the weight of this egg in grams? round to the nearest hundredth of a gram.

Answers

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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since there is an infinity of possible vulnerabilities, but a finite number of threat types, the following can be stated

Answers

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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Which graph shows the solution to the inequality? x − (5 − 3x) ≤ 2x − 1

Answers

Answer:

the answer is b

jsjsjsjsjsjsjsjsjsjsjsjsjsjsjs

Answer:

thank me later that's is the answer

A large grain silo is to be constructed in the shape of a circular cylinder with a hemisphere attached to the top. The diameter of the silo is to be 30 feet, but the height is yet to be determined. Find the height h of the silo that will result in a volume of 11,475(3.14) ft cubed

Answers

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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Pleeeeeease this is my second time asking, I need help.

Answers

The value of x in the figure is 4

How to determine the value of x in the figure?

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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On Monday Janice worked on Math homework for 1/2 hour, Science homework for 38 minutes, piano for 20 minutes and Spelling homework for 15 minutes. How many minutes did Janice spend on homework?

Answers

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.

ill give 50 points
Xena read 126 books in 9 months. Fill in the blanks on how you would solve this problem?
126 books/months=
books/1month=

Answers

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]

Use the formula for arc length to find the value of the unknown quantity.
s=rθ

Answers

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

How to find arc length?

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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Volume of Spheres

\






Volume of SpheresVolume of Spheres

Answers

5/3/1 is the answer gang get that A

by what factor would you need to change the radius of a sphere, such that its volume increased by a factor of 7? give your answer to two digits.

Answers

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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An interior designer charges $80 to visit a site, plus $65 to design each room. Identify a function that represents
the total amount he charges for designing a certain number of rooms. What is the value of the function for an
input of 5, and what does it represent?

Answers

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

Identify a function that represents the total amount he charges for designing a certain number of rooms

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

What is the value of the function for an input of 5, and what does it represent?

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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ab+6+ba-8+ab+b/a+2-3ba?
need answar

Answers

Answer:

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

Step-by-step explanation:

The diameter of a circle is 30 ft. Find its area to the nearest whole number

Answers

Answer:

use air math it helps alot!

Step-by-step explanation:


Arne and Falk are playing Rock, Paper, Scissors. Arne has won 5/8 of the total number of games, g, they
have played. Falk has won 1/4 of the games which is 6 less than Arne. How many total games did they
play?

Answers

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

A town has accumulated 4 inches of snow and the snow depth is increasing by 3 inches every hour . a nearby town has accumulated 1 inch and the depth is increasing by 5 inches every hour. how many hours will the snowfall of the towns be equal if the snow continues at the given rates?

Answers

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

Time in which the snowfall will be equal in both town

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

let the time in which the snowfall will be equal in both towns = x

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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DeltaMath -
Evaluate the function.

Answers

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]

Can someone help me with this question? Thanks.

Answers

Answer:

5 pounds I think hope this helped :)

Jarome is making pizza. He uses 2 1/2 cups of cheese for
every 2 3/4 pizzas. He has 6 1/4 cups of cheese left in the
bag. How many pizza pies can he make with the leftover
cheese?
6 pizzas

Answers

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

Define fractions.

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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A tree is standing next to a 40 foot high building the tree has a 9 foot shadow of the building has 18 foot shadow how tall is the tree rounded to the nearest foot

Answers

The height of the tree is 80 feet

How to determine the height of the tree?

The given parameters are:

Building = 40 ftShadow of the building = 9 ftShadow of the tree = 18 ft

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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A bike wheel is 26 inches in diameter. What is the bike wheel's diameter in millimeters (1 inch = 25.4 millimeters)?

Answers

we need to mulitply because for every inch there are 25.4 mm.


26.0 *25.4

660.4 mm.

so we know that the bikes wheels diameter is 660.4 millimeters
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