Explain how to simplify ((a^3)^4)^-2 using the properties of exponents.

**Answer: ***a***^24**

**Hope this helps you!**

Simplify the expression ∛81x^7y^9z^5 and please show your work!

By means of **algebra properties **for **powers** and **roots**, the **radical expression** [tex]\sqrt[3]{81\cdot x^7\cdot y^{9}\cdot z^{5}}[/tex] is equivalent to the expression [tex]4.327 \cdot x^{\frac{7}{3} }\cdot y^{3} \cdot z^{\frac{5}{3} }[/tex].

How to simplify an algebraic expression involving a cubic root operator and powers

In this question we need to simplify an **expression** by using **algebra properties**, that is, to transform an expression involving three variables (x, y, z), **roots** and **power operators** into an expression with only power operators, that is, where only we see power operators, no root operators of any kind. Now we proceed the entire procedure in detail:

In accordance to the algebra properties related to power and radical expressions, the radical expression [tex]\sqrt[3]{81\cdot x^7\cdot y^{9}\cdot z^{5}}[/tex] is equivalent to the power product [tex]4.327 \cdot x^{\frac{7}{3} }\cdot y^{3} \cdot z^{\frac{5}{3} }[/tex].

To learn more on **radical expressions**: https://brainly.com/question/28336985

#SPJ1

A table is made using the following two patterns.

Pattern x: Starting number: 3, Rule: add 3

Pattern y: Starting number: 6, Rule: add 6

Complete the table for the given patterns.

And then it asks to graph the points from 3 points

The **rules** of the **patterns **are 3 + 3x and 6 + 6y

The **patterns **are given as:

For **pattern **x, we have the following highlights:

Start = 3

Rule = Add 3

This means that the **nth term **of pattern x is:

Pattern x = 3 + 3x

For **pattern **y, we have the following highlights:

Start = 6

Rule = Add 6

This means that the **nth term **of pattern y is:

Pattern y = 6 + 6y

For **pattern **x, set x = 0, 1, 2 and 3

So, we have

3 + 3x = 3 + 3(0) = 3

3 + 3x = 3 + 3(1) = 6

3 + 3x = 3 + 3(2) = 9

3 + 3x = 3 + 3(3) = 12

For **pattern **y, set y = 0, 1, 2 and 3

So, we have

6 + 6x = 6 + 6(0) = 6

6 + 6x = 6 + 6(1) = 12

6 + 6x = 6 + 6(2) = 18

6 + 6x = 6 + 6(3) = 24

Next, we plot the **graphs** of both **patterns **(see attachment) where the blue line represents pattern 1, and the other represents the second **pattern**

Read more about **linear patterns **at

https://brainly.com/question/19547060

#SPJ1

Task 2 given the table and graph, evaluate the following functions:

**Answer:**

**Step-by-step explanation:**

**Use table for f(x) related questions** and **equation for g(x) related questions** and both for the last one.

If the perimeter of the square is 48 m. Find the area of a

circle whose circumference is the same as the square.

The area of the **circle **is 201 m².

So, the area of the circle:

The perimeter of square: 4aCircumference of the circle: 2πrWe know that 4a = 2πr, now calculate r as follows:

4a = 2πr48 = 2πrr = 48/2πr = 48/2(3.14)r = 48/6.28r = 7.64Rounding off: 8m

Area of circle:

πr²3.14(8)²3.14(64)200.96Rounding off: 201 m²

Therefore, the area of the **circle **is 201 m².

Know more about **circle **here:

**https://brainly.com/question/24375372**

#SPJ13

If the temperature drops 5 degrees per hour , what is the change in temperature after 4 hours

**Answer: -20 degrees**

**Step-by-step explanation:**

The temperature drops 5 degrees/hour.

Find temperature after 4 hours.

Since we are not given a starting temperature, we can only say how much the temperature has dropped after the 4 hours.

5 degrees/hour x 4 hours = 20 degrees

Temperature has dropped so your answer will be negative.

need help again with a question

**Answer: x = 58**

**Step-by-step explanation:**

The angles are alternating interior angles. This means that the angles are equal.

So x = 58

The length of a rectangle is eight more than twice it's width. If the length is less than 34,then what is the width?

**Answer:**

width < 13

**Step-by-step explanation:**

let width of the rectangle = x

length = 8 + 2x

according to the question,

8+2x < 34

2x < 34-8

2x < 26

x < 13

solve each linear equation 7+2x=4x-3

**Answer:**

**Simplifying**

**7 + 2x = 4x + -3**

**Reorder the terms:**

**7 + 2x = -3 + 4x**

**Solving**

**7 + 2x = -3 + 4x**

**Solving for variable 'x'.**

**Move all terms containing x to the left, all other terms to the right.**

**Add '-4x' to each side of the equation.**

**7 + 2x + -4x = -3 + 4x + -4x**

**Combine like terms: 2x + -4x = -2x**

**7 + -2x = -3 + 4x + -4x**

**Combine like terms: 4x + -4x = 0**

**7 + -2x = -3 + 0**

**7 + -2x = -3**

**Add '-7' to each side of the equation.**

**7 + -7 + -2x = -3 + -7**

**Combine like terms: 7 + -7 = 0**

**0 + -2x = -3 + -7**

**-2x = -3 + -7**

**Combine like terms: -3 + -7 = -10**

**-2x = -10**

**Divide each side by '-2'.**

**x = 5**

**Simplifying**

**x = 5**

Can someone help me with this

**Step-by-step explanation:**

slope intercept form is: y = ax + b

so, 19x - 19y = 18

-19y = -19x +18

[tex]y = \frac{ - 19x}{ - 19} - \frac{18}{19} [/tex]

[tex]y = x - \frac{18}{19} [/tex]

i hope that this helps

Write the perimeter of the triangle as a simplified polynomial. Then factor the polynomial.

**Answer:**

4x² + 29x + 7 = (4x + 1)(x + 7)

**Step-by-step explanation:**

**Like terms **are terms with same variable and same power.

Perimeter = sum of all the sides

= 3x² + 1 + 15x + 6 + x² + 14x

= 3x² + x² + 15x + 14x + 1 + 6

**Combine **like terms,

= 4x² + 29x + 7

**Factorize:**

Sum = 29

Product = 4*7 = 28

Factors = 1 , 28 {**28 + 1 = 29 & 28*1 = 28**}

**Rewrite the middle term** using the factors,

= 4x² + x + 28x + 7

= x(4x + 1) + 7(4x + 1)

= (4x + 1)(x + 7)

Which is an equivalent expression for (3 to the power of 2 • 5 to the power of 4) to the power of 3?

The value that will be equivalent to the **expression** will be 5625³.

It should be noted that an **expression** is simply used in Mathematics to illustrate or show the relationship between the **variables**.

The **equivalent expression** for (3 to the power of 2 • 5 to the power of 4) to the power of 3 will be illustrated as:

= (3² × 5⁴)³

= (9 × 625)³

= 5625³

Learn more about **expressions** on

brainly.com/question/723406

#SPJ1

explain 8 - 5 * 3 from a 7th grader

**Answer:**

-7

**Step-by-step explanation:**

5 * 3 = 15. 15 - 8 = 7; so, 8 - 15 = -7.

Find the values of x and y.

**Answer:**

x=71 y=109

**Step-by-step explanation:**

2-3x + 4 + x = -2x + 1

**Answer:**

**No solution**

**Step-by-step explanation:**

2- 3x + 4 + x = -2x + 1

**2 **-3x **+ 4 **+ x = -2x + 1

** 6 **-3x + x = -2x + 1

** **6** -3x + x **= -2x + 1

** **6** -2x **= -2x + 1

6 -2x = -2x + 1

move -2x to the right by adding 2x on both sides

6 -2x = -2x + 1

+2x +2x

6 = + 1

is 6 equal to 1?

**No, so No solution**

-9^2 x 3

evaluate the experssion!!

**Answer:**

243

**Step-by-step explanation:**

-9^2 = -9 * -9 = 81

81 * 3 = **243**

what is the Riemann Hypothesis??

**Answer:**

lie on a certain vertical straight line

**Step-by-step explanation:**

In mathematics, the Riemann hypothesis is the conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part 1/2. Many consider it to be the most important unsolved problem in pure mathematics.

Find the volume of the cylinder (rounded to the nearest tenth).9 in.3 in.

We have the next formula to calculate the volume of the cylinder

[tex]V=\pi r^2h[/tex]where

r is the radius

h is the height

in our problem

r=3in

h=9in

we substitute the values

[tex]V=\pi(3)^2(9)=254.46in^3[/tex]the volume round to the nearest tenth is **V=254.5 in ^3**

Garcia's bike rentals, it cost $38 to rent a bike for 9 hours. How many hours of bike use does the customer get per dollar. If necessary, round the answer to the nearest hundredth

From the question, we were told that Garcia's bike rentals cost $38 to rent bike for 9 hours.

We are to find how many hours will a customer use the bike per dollar.

This can also be likened to calculating miles per gallon.

if i can drive 300 miles on 10 gallons of gas then my miles per gallon is 300/10 = 30 mpg.

So, hours per dollar is also a division problem too.

(9 hours)/($38)

= 9/38

= 0.2368

= **0.24 **hours per dollar (to the nearest hundredth)

a couple has four children. neither the father nor the mother is bald; one of the two sons is bald, but neither of the daughters is bald. (a) if one of the daughters marries a nonbald man and they have a son, what is the chance that the son will become bald as an adult? (b) if the couple has a daughter, what is the chance that she will become bald as an adult?

If one of the **daughters** marries a **non-bald** man and they have a son, the chance that the son will become bald as an adult is 0%

If the couple has a daughter, the chance that she will become bald as an adult is 0%

In the question, we have been given that the neither the father nor the mother is bald, and out of the four children only one son is bald, but the other son and the two daughters are not bald, now we solve the following:

Part a

A chance that the son will become bald as an adult:

If the daughter has no bald gene (XX), and she marries a non bald man then there is 0% chance that the son will become bald as an adult because neither the mom nor the dad has the baldness gene

Part b

The chance that she will become bald as an adult:

If the daughter having a bald gene ([tex]X^{b} X[/tex]) marries a non bald (XY)man then also there is a **0% chance** that the daughter will be bald as an adult. As the baldness is a recessive trait, for the daughter to be bald she needs to have two baldness gene( one from father and one from mother). And since this is not the case the daughter might have baldness gene but the phenotype will be non-bald.

Learn more about **genetics** here:

https://brainly.com/question/21768152

#SPJ4

a certain type of aluminum screen 2 feet in width has, on the average, three flaws in a 100-foot roll. we assume flaws occur randomly so the number of flaws follow some poisson distribution. what is the probability that the first 40 feet in a roll contain no flaws?

The **probability of that the first 40 feet **in a roll contain no flaws is ≈ .3012

The area of mathematics known as probability deals with** numerical representations of the likelihood **that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Θ = μ = [tex]\frac{100 foot}{3 flaws}[/tex]

a ) We assume that the length until the first flaw follows an exponential distribution.

Probability density function of exponential distribution:

f(x) = [tex]\frac{1}{Θ} e^{\frac{-x}{Θ} } = \frac{1}{100/3}e^{-x/(100/3)} = \frac{3}{100}e^{-3x/100}[/tex]

The first 40 feet in a roll of 100 feet contain no flaws if the first flaw occurs after 40 feet.

The probability is the integral over the corresponding interval:

the further calculation has been shown in fig. attached

since equation was not possible to write here

b) We assume that the length until the first flaw follows an exponential distribution.

learn more about **probability **here :

brainly.com/question/15093426

#SPJ4

Marine biologist studies the population of seals in research area. how many Seals are in the research area?

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

WILL AWARD BRAINLIEST

M= 1/3. The equation would be y= 1/3x + 2

I NEED HELP FAST

image is the question :)

0.3x4= 1.2 is like multiplying 3x4=12

For a project in his Geometry class, Yusuf uses a mirror on the ground to measure the

height of his school building. He walks a distance of 10.25 meters from the building,

then places a mirror flat on the ground, marked with an X at the center. He then

walks 1.65 more meters past the mirror, so that when he turns around and looks

down at the mirror, he can see the top of the school clearly marked in the X. His

partner measures the distance from his eyes to the ground to be 1.55 meters. How tall

is the school? Round your answer to the nearest hundredth of a meter.

**Step-by-step explanation:**

sadly we don't know anything about the size of the mirror on the ground, or if e.g. the 1.65 m from the mirror mean from the edge of the mirror or from the x at the center of the mirror.

so, we must assume the mirror as a dot without any significant lengths in the calculation.

we have 2 right-angled triangles.

1. the small one : from Yusuf's eyes to the ground at his feet to the x on the mirror on the ground.

2. the large one : from the top of the building to the bottom of the building on the ground to the x on the mirror on the ground.

the mirroring creates a dilation from the large triangle to the small triangle through the point x on the mirror.

in other words, all the angles stay the same, and there is one constant scale factor for all the lengths of one triangle to the other, making both triangles similar.

that means that the scale factor "f" of the ground distances from the small to the large triangle is

10.25 / 1.65 = 1025 / 165 = 6 35/165 = 6 7/33 =

= 6.212121212...

the scaling from Yusuf's height (well, his eye level) to the height of the school must follow the same ratio :

school height / Yusuf's eye level =

= h/1.55 = 10.25/1.65

h = 10.25 × 1.55 / 1.65 = 1025 × 155 / 16500 =

= 9.628787879... m ≈ 9.63 m

the school is approximately 9.63 m tall.

FYI : this is the same principle as with a camera. the lens (and the mirror inside if applicable) create a dilated "projection" onto a film or an array of digital light sensors, so that the captured image retains all the angles and all the length ratios of the original.

but to know from the picture e.g. how tall the original was, we need to know also the distance from which the picture was taken. otherwise this can't be answered.

How do you write 3 and 6/25 as a decimal

**Answer: 1.44 **

**Step-by-step explanation:**

The fraction 3 and 6/25 is equal to 1.44 when written as a fraction.

**Answer:**

3.24

**Step-by-step explanation:**

6/25 can be read as 6 divided by 25, which is 0.24. Add that to 3 and you get 3.24.

Your aunt bought a new television. The television screen is a

rectangle.

The length of the television screen is 54 inches and the width is

30.4 inches.

What is the area of the television screen? What is the perimeter

of the television screen?

Use the given information to complete the worksheet.

Problem apr20 Client Version 7.7.14 Server Version 73.14

O

Length of the Television Screen

Width of the Television Screen

Perimeter of the Television Screen

Area of the Television Screen

DELL

Diagram Label

SC

CR

Area Formulas:

• Parallelogram: A = bh

• Square: A = s²

.

Value

54

30.4

168.8

Triangle: A = bh

•Trapezoid: A=h(b₁+ b₂)

Units

inches

inches

inches

square inches

©2021 Carneg

Oct 13

**Answer:**

**Step-by-step explanation:**

You want the **area and perimeter** of a **rectangle** that is **54 inches in length** and **30.4 inches in width**.

The area formula is ...

A = bh

We can use the length as the "base" and the width as the "height", so we have ...

A = (54 in)(30.4 in) = 1641.6 in²

**The area of the television screen is 1641.6 square inches**.

The perimeter of a rectangle is given by the formula ...

P = 2(L +W)

Using the given length and width, the perimeter is found to be ...

P = 2(54 in + 30.4 in) = 2(84.4 in) = 168.8 in

**The perimeter of the television screen is 168.8 inches**.

The **area **of the rectangular **television screen** is 1641.6 square inches and the **perimeter **of the **television screen** is 84.4 inches.

What is the **area **of a **rectangle**?

The **area** a **rectangle** occupies is the space it takes up inside the limitations of its four sides. The dimensions of a rectangle determine its **area**. In essence, the **area** of a **rectangle** is equal to the product of its length and breadth. Its **area** is the space that the rectangle's boundary encloses.

Mathematically, **area** of a **rectangle** = length * width = l * w

What is the **perimeter** of a **rectangle**?

The **perimeter** is defined as the sum of all sides of the rectangle. Mathematically, **perimeter** of a rectangle = 2(length + width) = 2*(l + w)

Given, the **length** of the **television screen** = l = 54 inches

The **width** of the **television screen** = w = 30.4 inches

Using the formula mentioned in the literature above,

Area of the television screen = l * w = 54*30.4 = 1641.6 square inches

Also, perimeter of the television screen = l + w = 54 + 30.4 = 84.4 inches

Thus, the area of the rectangular television screen is 1641.6 square inches and the perimeter of the television screen is 84.4 inches.

To learn more about this, tap on the link below:

https://brainly.com/question/19819849

#SPJ9

Given the frequency table, what percentage of the students that like rap are also in grades 9–10? Round to the nearest whole percent. Show work

A. 16%

B. 38%

C. 40%

The **percentage** of the students that like rap are also in grades 9–10 is 32%.

Given data:

Grade 9-10 for Rap = 40

Row total for grade 9-10 = 125

Now let determine the percentage of rap in **grades** 9-10 using this formula

Percentage of rap in grades 9-10 = Grade 9-10 for Rap / Row total for grade 9-10

Let plug in the formula

Percentage of rap in grades 9-10 = 40 /125

Percentage of rap in grades 9-10 = 0.32 × 100

Percentage of rap in grades 9-10 = 32%

Therefore we can conclude that 32% is the **percentage** of rap grade 9-10.

Learn more about **Percentage of rap in grades 9-10** here: https://brainly.com/question/21289991

#SPJ1

Sheila bought three books for $12.63, $9.05,

and $14.97. How much did she spend?

Adding the three numbers together, she spent a total of $36.65

1 1 1

12.63 21.68 Therefore, the answer is $36.65

+ 9.05 + 14.97

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

21.68 36.65

12.63 21.68 Therefore, the answer is $36.65

+ 9.05 + 14.97

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

21.68 36.65

would you put a closed dot or an open dot on a number line for n > -8?

**Answer:**

a opened because a closed means that number ond more

**Step-by-step explanation:**

the denominator of a fraction is two more than the numerator. if both numerator and denominator are increased by ten, the simplified is 9/10. find the original fraction. (Do not simplify).

Give to each part of the fraction a variable (a letter)

Numerator: n

Denominator: d

the denominator of a fraction is two more than the numerator:

[tex]d=n+2[/tex][tex]\frac{n}{d}=\frac{n}{n+2}[/tex]both numerator and denominator are increased by ten, the simplified is 9/10:

[tex]\frac{n+10}{n+2+10}=\frac{9}{10}[/tex]Use the equation above to find the value of n:

[tex]\begin{gathered} 10(n+10)=9(n+12) \\ 10n+100=9n+108 \\ 10n-9n=108-100 \\ n=8 \end{gathered}[/tex]As n is equal to 8 find the value of d:

[tex]\begin{gathered} d=n+2 \\ d=8+2 \\ d=10 \end{gathered}[/tex]The original fraction is:

[tex]\frac{8}{10}[/tex]
Between 1996 to 2011, what was the percentage increase in opioid addiction measured by people seeking treatment?.
Please i really need help
Pleaseeeeeeeee helpppp
4to the fitth power times 4 negative 7 expnent
The gulf stream along the east coast of the united states is an example of a(n) __________. a. highland region b. el nio climate c. ocean current d. wind current please select the best answer from the choices provided a b c d
sea otters live in the ocean. which of the following is not likely to be a limiting factor on the sea otter population
Simplify the expression. the expression negative one eighth j plus two thirds minus the expression five thirds j plus nine twelfths
societal standards limit people's ability to express themselves.Agree or disagree? Explain your reasoning.
The historical concept of the american identity, as characterized in the excerpt, was most clearly distinguished from the identities of other nations by the?.
j-matt, inc., had pretax accounting income of $291,000 and taxable income of $300,000 in 2021. the only difference between accounting and taxable income is estimated product warranty costs of $9,000 for sales in 2021. warranty payments are expected to be in equal amounts over the next three years (20222024) and will be tax deductible at that time. recent tax legislation will change the tax rate from the current 25% to 20% in 2023. determine the amounts necessary to record j-matts income taxes for 2021 and prepare the appropriate journal entry.
3. Why do you think Britainsurrendered?
-5 < 3x -8 / means greater than or equal to
POEM OF LOSS: Does losing things help us discover anything? Maybe sometimes wenotice or take better care of what we still have. Momentarily. Maybe the reason we talkabout petty losses is that there are so many inevitable larger ones that can never beredeemed or reclaimed--the people or the eras of our lives. Teenagers and The Voice arepoems that each express and explore the experiences of LOSS in one way or another.Brainstorm a list of things you've lost in your life-favorite stuffed animal, beloved familydog, freedom, memory, friendships, grandparents, trust, keys, an important championshipgame, motivation, confidence, etc. There are many odd and angular ways the subject of losscan creep into everything we know-choose something from your list and write a poemabout something you've lost. USE SENSORY DETAIL-TWELVE LINES MINIMUM!CHILDHOOD/IMITATION POEM: Write a poem in which you use visual images tore-create an experience from your Childhood that made you feel joy. Model your poemafter Anne Sexton's "Young" and like this poem, write yours as just one long sentence.Imitate the style and rhythm of the poem. FIFTEEN LINES MINIMUM!Write me a poem about loss or childhood/imitation poem
How many moles of water will be produced if 3.50 moles of hydrogen react completely?___H2(g) + ___O2(g) ___H2O (l)
what is the quest in where the crawdads sing
Most historians agree that Charlemagne was an effective ruler. Do you agree? Do you think Charlemagne was an effective ruler? In your response, use specific evidence and terms from our look at Charlemagne.
a nurse is caring for an older adult with pneumonia. what are age-related structural and functional changes that occur in the respiratory system? select all that apply.
The speed of sound traveling through a dense material is 600 m/s. If the wavelength is 15.0 m, what is the frequency of this sound?9,000 Hz80 Hz0.0025 Hz40 Hz
4. The largest animals that Paleo-Indians hunted werea. mammoths.b. deer.c. javelinas.d. black bears.
What are the ways people can control erosion?A. build wallsB. plant grassC. put terraces in hillsidesD. all of the above