Chase was asked to simplify the expression (-3) ^ 4 * (-3) ^ 9 equals is shown was work below do you agree or disagree with Chase's War explain your reasoning chases work (-3) to the power of 4 * (-3) ^ 9 equals (-3) ^ 36

Answers

Answer 1

Answer:

Step-by-step explanation:

Given the expression chase was asked to simplify as [tex](-3) ^ 4 * (-3) ^ 9[/tex], lets first solve and compare our solution with chases's

Using the law of indices [tex](a) ^ m * (a) ^ n = a^{m+n}[/tex]

[tex]= (-3) ^ 4 * (-3) ^ 9 \\\\= (-3)^{4+9}\\\\= (-3)^{13}[/tex]

Chases reasoning is wrong according to his answer [tex](-3) ^ 4 * (-3) ^ 9 = (-3)^ {36}[/tex]. What chase's did was to multiply the power of -3 together instead of adding. In indices when the bases are equal and we are multiplying, the powers of the bases will be added not multiplies=d as chase's did.


Related Questions

The midpoint of AB is M=(3, 1). One endpoint is A=(-1, -1).
Find the coordinates of the other endpoint, B.

Answers

Answer:

(7, 3)

Step-by-step explanation:

Given segment AB, where:

A = (-1, -1)

Mid point

M = (3, 1)Point B = (x, y)

As per mid point formula:

(-1+x)/2 = 3 ⇒ -1 + x = 6 ⇒ x = 6+ 1 = 7(-1 + y)/2 = 1 ⇒ -1 + y = 2 ⇒ y = 2 + 1 = 3

So, the point B is:

B = (7, 3)

(X-4)+(2x-7) Find the sum

Answers

Answer:

3x - 11

Step-by-step explanation:

(x-4)+(2x-7)

We can remove the parenthesis because we are adding and not multiplying.

x - 4 + 2x - 7   Combine like terms

x + 2x - 4 - 7

3x - 4 + - 7

3x - 11

The sum of the given expression is (3x-11)

What is expression?

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

Given is an expression, (x-4)+(2x-7)

The sum is,

(x-4)+(2x-7)

x-4 + 2x-7  

x+2x - 4-7

3x-4-7

(3x-11)

Hence, the sum of the given expression is (3x-11)

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Which expression represents the prime factorization of 484?​

Answers

Answer: 2*2*11*11

Step-by-step explanation:

484 = 2 times 242 = 2 times 2 times 121 = 2 times 2 times 11 times 11.

"*" = mean multiply/times.

2*2*11*11

2*2*11*11

HOPE THIS HELPED!

Your company offers warranty coverage for MP3 players. The policy provides for the replacement of MP3 players that fail within 3 years of purchase of the MP3 player. The lifetime of a particular model of player is subject to a constant force of mortality, and the expected lifetime is 5 years. On January 1, coverage is purchased for 1000 MP3 players. Calculate the expected number of MP3 players replaced in the first year. (Ans 181.

Answers

Answer:

181 MP3 players

Step-by-step explanation:

Given data:

Replacement of MP3 that fail within 3 years

expected lifetime of MP3 = 5 years

number of MP3 players purchased = 1000

number of MP3 players replaced in the first year = ?

To determine the number of MP3 replaced in the first year we will employ this formula:

[tex]E(To) = \frac{1}{u} = e_{x} ^{0} =\int\limits^a_0 {po} \, dt[/tex]

a = ∞

since the given problem is an exponential distribution

1/u = 5 hence u = 0.2

next we will determine the number of MP3's to fail in its first year of purchase

qo = failure

po = success

number of purchase = 1000

attached below is the remaining part of the solution

0.000487 in scientific notation

Answers

Answer:

4,87×10⁴ thats the answer:)

Answer:

[tex]10^{4} x 4.87[/tex]

Step-by-step explanation:

In a large accounting firm, the proportion of accountants with MBA degrees and at least five years of professional experience is 75% as large as the proportion of accountants with no MBA degree and less than five years of professional experience. Furthermore, 35% of the accountants in this firm have MBA degrees, and 45% have fewer than five years of professional experience. If one of the firm's accountants is selected at random, what is the probability that this accountant has an MBA degree or at least five years of professional experience, but not both

Answers

Answer:

The probability that this accountant has an MBA degree or at least five years of professional experience, but not both is 0.3

Step-by-step explanation:

From the given study,

Let A be the event that the accountant has an MBA degree

Let B be the event that the accountant has at least 5 years of professional experience.

P(A) = 0.35

[tex]P(A)^C[/tex] = 1 - P(A)

[tex]P(A)^C[/tex] = 1 - 0.35

[tex]P(A)^C[/tex] = 0.65

[tex]P(B)^C[/tex] = 0.45

P(B) = 1 - [tex]P(B)^C[/tex]

P(B) = 1 - 0.45

P(B) = 0.55

P(A ∩ B ) = 0.75 [tex]P(A^C \ \cap \ B^C)[/tex]

P(A ∩ B ) = 0.75 [ 1 - P(A ∪ B) ]  because  [tex]P(A^C \ \cap \ B^C)[/tex]  = [tex]P(A \cup B)^C[/tex]

SO;

P(A ∩ B ) = 0.75 [ 1 - P(A) - P(B) + P(A ∩ B) ]

P(A ∩ B ) = 0.75 [ 1 - 0.35 - 0.55 + P(A ∩ B) ]

P(A ∩ B ) - 0.75  P(A ∩ B) = 0.75 [1 - 0.35 -0.55 ]

0.25  P(A ∩ B) = 0.075

P(A ∩ B) = [tex]\dfrac{0.075}{0.25}[/tex]

P(A ∩ B) = 0.3

The probability that this accountant has an MBA degree or at least five years of professional experience, but not both is: P(A ∪ B ) - P(A ∩ B)

= P(A) + P(B) - 2P( A ∩ B)

= (0.35 + 0.55) - 2(0.3)

= 0.9 - 0.6

= 0.3

The probability that this accountant has an MBA degree or at least five years of professional experience, but not both is 0.3

Which diagram shows plane C and plane D intersecting at ←XY→?

Answers

Answer: The bottom left option.

Step-by-step explanation:

←XY→ is the line that connects the points X and Y.

The fact that the planes C and D intersect at this linea, means that all the points where the planes are intersecting are points in the given line.

Then the correct option is the bottom left one, because the planes D and C are intersecting in a line, and the line passes through the points X and Y, so that line is called ←XY→.

Simplify the expression: 4(–6p − 2)

Answers

Answer:

-24p -8

Step-by-step explanation:

4(–6p − 2)

Distribute

4 * -6p -4*2

-24p -8

-24p-8
Hope this helps... picture below

Is 2 linear or exponential?

Answers

The answer is exponential

find the l.c.m of 2,4,6 and 8​

Answers

Answer:

24.

Step-by-step explanation:

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24

4 , 8 , 12, 16, 20, 24

6, 12, 18, 24

8, 16, 24

Looking at the multiples of these numbers, we choose the multiple they all have in common. I usually do this for the two biggest numbers, (8 and 6;) and check my work with the others. If you would like more examples from me or need extra help, feel free to ask! I am on Brainly replying to questions and comments from 1 pm - 2 pm EST. Hope this helped!

Use traces to sketch the surface. x2 = y2 + 5z2

Answers

Answer:

when k > 0 the traces parallel to the yz plane is an ellipse

The traces parallel to the xz plane are parabolas and they open in positive x- axis direction

The traces parallel to the xy plane are parabolas that open in the positive x-axis direction

Step-by-step explanation:

Given surface : [tex]x^2 = y^2 + 5z^2[/tex]

To determine the traces of the given equation we will have to make some assumptions and the assumption is

let x = k  

     [tex]k^2 = y^2 + 5z^2[/tex]

when k > 0 the traces parallel to the yz plane is an ellipse

let  y = k

    [tex]x^2 = k^2 + 5z^2[/tex]

The traces parallel to the xz plane are parabolas and they open in positive x- axis direction

Let z = k

   [tex]x^2 = y^2 + 5k^2[/tex]

The traces parallel to the xy plane are parabolas that open in the positive x-axis direction

with the given traces The surface can be sketched


Find the average of all scores
there are:
ten scores of 9
eight scores of 8
ten scores of 7
three scores of 6
Round to one decimal place

Answers

Answer:

9880

Step-by-step explanation:

because u have to use the last number and round it up to the closes while number then add ur Decimal

What is the value of h(-2) when h (2)=3x + 1?
O -5
O 6
O 3

Answers

Answer:

Step-by-step explanation:

h(-2) 3(-2) + 1 = -6 + 1 = -5

y = 1/9 * x - 8 what is the slope ?

Answers

Answer:

1/9

Step-by-step explanation:

the slope is m in y=mx+b

hope this helps!

Mrs Perry shares out 21 biscuits between
Gemma and Zak in the ratio 1 : 6
How many biscuits does each child get?
biscuits.
Gemma gets
biscuits and Zak gets

Answers

Answer:

Gemma gets 3 biscuits

Zak gets 18 biscuits

Step-by-step explanation:

1:6 = 1+6

= 7

1/7 * 21 = 3

6/7 * 21 = 18

Step-by-step explanation:

x+6x=21

7x=21

x=3

6x=3×6= 18

Gemma gets 3 and Zak got 18

Please help if you can

Answers

Answer:

its perimeter would be 40 centimeters

What is the solution to 4 X-3+ 1 = 1?

Answers

Answer:

x=3/4

Step-by-step explanation:

1. subtract 1 on each side

2. add 3 on each side

3. divde by 4 on each side

The solution to the given equation is 3/4.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 4x-3+1=1.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Now, 4x-3+1=1

4x-3=0

4x=3

x=3/4

Therefore, the solution is 3/4.

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ej bisects def, m dej-5x+7, m JEF=8x-8. find x

Answers

Answer:

[tex] x = 5 [/tex]

Step-by-step explanation:

Given that segment EJ bisects angle DEF, it implies that angle DEF is divided into two equal angles, namely, angle DEJ = 5x + 7, and angle JEF = 8x - 8.

To find the value of x, let's derive an equation by setting m<DEJ equal to m<JEF, since both are equal parts of angle DEF bisected by segment EJ.

Thus:

[tex] 5x + 7 = 8x - 8 [/tex]

Solve for x

[tex] 5x + 7 - 8x = 8x - 8 - 8x [/tex] (subtracting 8x from both sides)

[tex] -3x + 7 = - 8 [/tex]

[tex] -3x + 7 - 7 = - 8 - 7 [/tex] (Subtracting 7 from both sides)

[tex] -3x = -15 [/tex]

[tex] \frac{-3x}{-3} = \frac{-15}{-3} [/tex] (dividing both sides by -3)

[tex] x = 5 [/tex]

y = 5.3x, when x = 10

Answers

the answer is 53 because when you multiply a decimal by 10 all you need to do is move the decimal to the right

The perimeter of the polygon above is

Answers

Answer:

30cm

Step-by-step explanation:

5+5+12+8



Suppose bananas, b, cost $0.29 each. Write an expression for the cost of buying a certain quantity of bananas.

Answers

Answer:

0.29b =

Step-by-step explanation:

each banana costs .29 $ so if you replace b with any number, you would have the cost the certain quantity of bananas

On a coordinate plane, point M is located at (-5,1) and point N is located at (-5,8)

Answers

Answer:

7 units

Step-by-step explanation:

d=√(x2-x1)² + (y2-y1)²

x1=-5

x2=-5

y1=1

y2=8

d=√(-5--5)² + (8-1)²

d=√0² + 7²

d=√49

d= 7 units

Use the sample data and confidence level given below to complete parts​ (a) through​ (d).
A research institute poll asked respondents if they felt vulnerable to identity theft. In the​ poll, n=963 and x=573 who said​ "yes." Use a 95% confidence level.
a) Find the best point estimate of the population proportion p.
​(Round to three decimal places as​ needed.)

​b) Identify the value of the margin of error E =
(Round to three decimal places as​ needed.)

​c) Construct the confidence interval.
​(Round to three decimal places as​ needed.)

​d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below.

Answers

Answer:

A

Step-by-step explanation:

yes because 3+2 +5 = 923x which is the inversde ratio of a triangle. This leads us to 1 half of 3.14, once we have 3.14, divide it by 70594. Now, you get 59.4.

Hope this helped!

Jessica has a $100 gift card from
Starbucks. She spends $5 each day
until the balance is zero.

Answers

Answer:

I'm not sure what answer you want from this but it would take her 20 days to use the entire gift card

Answer:

so she spend $5 for 20 days

Step-by-step explanation:

hope it is helpfull.

please mark me as a brainlist...

182 is what percent of 400

Answers

Answer:

45.5 %

hope this helped ! (:

Answer:

45.5%

Step-by-step explanation:

182÷400=0.455=45.5%

Find the distance between M and N. The locations of M and N are -10 and -20

Answers

Answer:

10

Step-by-step explanation:

Subtract the two distances

-10 - -20

-10 +20

10

The distance is 10

Is this answer correct?

Answers

that’s the correct answer

Answer:

YES

Step-by-step explanation:

PLEASE MARK AS BRAINLIST ANSWER

The deck of a bridge is suspended 275 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of the pebble above the water surface after t seconds is given by y = 275 - 16t^2.

(a) Find the average velocity of the pebble for the time period beginning when t − 4 and lasting (i) 0.1 seconds (ii) 0.05 seconds (iii) 0.01 seconds (b) Estimate the instantaneous velocity of the pebble after 4 seconds.

Answers

Answer:

Our equation for the height is:

y(t) = 275 - 16*t^2.

a) To find the average velocity between two times, t1 and t2, (where t2 > t1) the equation is:

[tex]AV = \frac{y(t2) - y(t1)}{t2 - t1}[/tex]

Then:

i) t1 = 4s, t2 = 4s + 0.1s = 4.1s

The average velocity is:

[tex]AV = \frac{(275 - 16*4.1^2) - (275 - 16*4^2)}{4.1 - 4} = \frac{16(4^2 - 4.1^2)}{0.1} = -129.6[/tex]

And the units will be ft/s, so the average speed is:

-129.6 ft/s

The minus sign is because te pebble is falling down.

ii)  t1 = 4s, t2 = 4s + 0.05s = 4.05s

The average velocity is:

[tex]AV = \frac{(275 - 16*4.05^2) - (275 - 16*4^2)}{4.05 - 4} = \frac{16(4^2 - 4.05^2)}{0.05} = -128.8[/tex]

So the average speed is -128.9 ft/s

iii)  t1 = 4s, t2 = 4s + 0.01s = 4.01s

The average speed is:

[tex]AV = \frac{(275 - 16*4.01^2) - (275 - 16*4^2)}{4.01 - 4} = \frac{16(4^2 - 4.01^2)}{0.01} = -128.16[/tex]

The average speed is -128.16 ft/s.

b) The instantaneous velocity of the pebble after 4 seconds can be obtained by looking at the velocity equation, that is the derivative of the height equation.

v(t) = dy(t)/dt.

v(t) = -2*16*t + 0

Then the velocity at t = 4s is:

v(4s) = -32*4 = -128

The instantaneous velocity at t = 4s is -128 ft/s.

a). The average velocity of the pebble for the time period would be:

i). [tex]-129.6[/tex]

ii). [tex]-128.8[/tex]

iii). [tex]-128.16[/tex]

b). The instantaneous velocity of the pebble post 4 seconds would be:

[tex]-128[/tex]

a). We need to find the average velocity,

i). [tex]t1 = 4s, t2 = 4s + 0.1s = 4.1s[/tex]

Using [tex]y(t_{2}) - (t_{1})/(t_{2}) - (t_{1})[/tex]

by putting the values,

[tex]= y(4.1) - y(4) / 4.1 - 4[/tex]

[tex]= 275 - 16(4.1)^2 - 275 - 16(4)^2 / 0.1[/tex]

[tex]= 275 - 16*16.81 - 275 - 16(16) / 0.1[/tex]

[tex]= 6.04 - 19 / 0.1[/tex]

[tex]= -12.96 /0.1[/tex]

[tex]= -129.6[/tex]

ii).  Now,

[tex]t_{2} = (4 + 0.05 = 4.05s)[/tex]

Using [tex]y(t_{2}) - (t_{1})/(t_{2}) - (t_{1})[/tex]

[tex]= y(4.05) - y(4) / 4.05 - 4[/tex]

 [tex]= -6.4 / 0.05[/tex]

[tex]= -128.8[/tex]

iii). Now,

[tex]t_{2} = 4.01s[/tex]

Using [tex]y(t_{2}) - (t_{1})/(t_{2}) - (t_{1})[/tex]

[tex]= y(4.01) - y(4) / 4.01 - 4[/tex]

 [tex]= -1.28 / 0.01[/tex]

[tex]= -128.16[/tex]

b). Instantaneous velocity

[tex]y = 275 - 16t^2[/tex]

[tex]dy/dx = -32t[/tex]

Considering [tex]t = 4[/tex]

Instantaneous velocity post 4 seconds [tex]= -32(4)[/tex]

[tex]= -128[/tex]

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Given f(x)=20x+12, find f(5)

Answers

Answer:

212

Step-by-step explanation:

20(5)+12

200+12

212

-1+(-8) is how many units away from 4 on the number line

Answers

Answer:

13 units

Step-by-step explanation:

-1 + (-8) = -9

|-9| = 9 + 4 = 13

(-9) is 13 units from 4

Hopefully this helps you :)

pls mark brainlest ;)

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