Explain why you cannot use the product of powers property to simplify (3z + y)^3. Be specific.
Any badd answer will be reported

Answers

Answer 1

The product of powers of exponents cannot be used to simplify the binomial expansion

Given data ,

Let the binomial expansion be represented as A

A = ( 3z + y )³

According to the property of products of powers, exponents can be multiplied when a power is increased to a higher power.

The product of powers characteristic cannot be applied to the equation (3z + y)³. This is due to the fact that (3z + y)³ is a binomial raised to the power of 3, not just a power of a single word.

These terms cannot be simplified further using the product of powers property because they involve different variables or variable combinations.

In this case, it is more appropriate to expand the expression using the binomial expansion

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Related Questions

A train travels at a speed of 65 miles per hour. How long did it take the train to travel 227.5 miles?

Answers

Answer:

3.5 hours

Step-by-step explanation:

227.5÷65=3.5

PLEASE HELP ASAP I WILL GIVE YOU BRAINIEST!! Marcus is 14 years younger than twice Kimi's age. Marcus is 8 years old. How old is Kimi?

Answers

Answer: kimi is 22

Step-by-step explanation:

Answer:

Kimi is 11 years old

Step-by-step explanation:

We can read 'twice Kimi's age' as Kimi's age times 2 and

'14 years younger' as  minus 14.

Our equation is

2(Kimi's age)-14= Marcus' age

Since Marcus is 8:

2(Kimi's age)-14= 8

Now we manipulate the equation so that it equals Kimi's age. Remember that whatever we do to the right side, we also do to the left.

First we add 14 to both sides

2(Kimi's age)-14(+14)= 8(+14)

2(Kimi's age)= 22

Then we divide by 2

2(Kimi's age)/2= 22/2

Kimi's age=11

Usually we would us X to represent our unknown, Kimi's age, but I left it as Kimi's age so that it is easier to follow.

How do I solve x, y, z?​

Answers

Answer:

z=[tex]\sqrt{14^{2} -5^{2} }[/tex]

z=13.08

(5)[tex]\sqrt{171}[/tex]=14x

x=4.67

y=[tex]\sqrt{5^{2} -4.67^{2} }[/tex]

y=1.79

if it helps, please give me brainliest

- 3x + 5y = -2
2x - 2y = 1
Solve by elem inaction

Answers

Answer:

x=1/4 , y=-1/4. You can confirm this by substituting the numbers in.

Step-by-step explanation:

el resultado de 20+(-60)-40-20es​

Answers

Answer:

140 by the number like I know this

Step-by-step explanation:

I did the test

Five higschool friends all happen to be female born in 2003 assuming that the survival of each ine is independent what is the proablity that at least one lives to be 100 year old

Answers

Answer:

15%

Step-by-step explanation:

An underground aquifer near Seiling, Oklahoma, sits on an impermeable layer of limestone. West of Seiling the limestone layer is thought to slope downward in a straight line. In order to map the limestone layer, hydrologists started at Seiling heading west and drilled sample wells. Two miles west of Seiling the limestone layer was found at a depth of 220 feet. Three miles west of Seiling the limestone layer was found at a depth of 270 feet
(a) What would you expect to be the depth of the limestone layer 5 miles west of Seiling
(b) You want to drill a well down to the limestone layer as far west from Seiling as you can. Your budget will allow you to drill a well that is 275 feet deep. How far west of Seiling can you go to drill the well? (Round your answer to one decimal place.)

Answers

Answer:

(A) 490ft.

(B) 2.8 miles

Step-by-step explanation:

Important points to note:

- The limestone layer is thought or assumed to slope downward in a straight line.

- 2 miles west of Seiling, the limestone layer was found at a depth of 220ft.

- 3 miles west of Seiling, the limestone layer was found at a depth of 270ft.

(A) What would you expect to be the depth of the limestone layer, 5 miles west of Seiling?

The expected depth of the limestone layer is:

2 miles + 3 miles = 5 miles

220ft + 270ft = 490ft

(B) Your budget will allow you drill a well that is 275ft deep. How far west of Seiling (in miles) can you go, to drill the well?

If 490ft  ~  5 miles

then 275ft  ~  K miles

K = [275 x 5] / 490  = 2.80612245 miles

Rounding to 1 decimal place, the distance is 2.8 miles.

Troy and Lisa were shopping for school supplies. Troy bought 3 notebooks and 5 thumb drives for $20.25. Lisa bought 8 notebooks and 8 thumb drives for $38. Find the cost of each notebook and the cost of each thumb drive.

Answers

Answer:

Step-by-step explanation:

3n + 5d = 20.25

24n + 40d = 162

8n + 8d = 38

-24n - 24d = -114

24n + 40d = 162

-24n - 24d = -114

—————————

16d = 48

d = 3

A drive costs $3

3n + 5(3) = 20.25

n = 1.76

A notebook costs $1.75

find the area of given figure​

Answers

Answer:

hope it helped have a good day mate

Russ walks
7
10
mile to school.
How far has he walked when he has covered
5
8
of the distance to school?

Answers

Answer:

If he walks 7/10 miles to school, and you want to find 5/8 of that distance, you have to multiply the 2 fractions together. So he has walked 7/16 miles when he has covered 5/8 of the distance to school. thank me later

The volume Vof a cylindrical can is represented by the formula V=πr2h, where h is the height and r is the radius. A cylindrical can has a volume of 1014π cubic centimeters and a height of 6 centimeters. What is the radius of the can?

Answers

Answer:

Step-by-step explanation:

V = πr²h

1014π = πr²·6

r² = 1014/6 = 169

r = 13 cm

Divide. Then, check your work with multiplication. 12.21 / 11

Answers

Answer:

1.11

Step-by-step explanation:

Answer:

1.11

Step-by-step explanation:

12.21/11 is equal to 1.11

to check with multiplication, 1.11*11 = 12.21

*) Simplify the second expression
2(2m + 2) + m.
2(2m + 2) + m =
m +
?

Answers

Answer:

5m + 4

Step-by-step explanation:

First, use the distributive property to open the parentheses.

2(2m + 2) + m = _m + 4

4m + 4 + m = _m + 4

Simplifiy:

5m + 4

Hope this helps!

Answer:

5m+4

Step-by-step explanation:

open up the bracket

that will be 4m+4+m   (since 4m and m are alike we can add them together)

5m+4

if this helped please give me brainlest

23:
-
Determine the x- and y- intercepts for the graph defined by the given equation.
y = 7x + 3
a. X-intercept is (3,0)
CH
x-intercept is 0.-
y-intercept is 0,-
y-intercept is (3,0)
b.
d. x-intercept is (3, 0)
x-intercept is
0
y-intercept is
10
y-intercept is (0,3)
Please select the best answer from the choices provided
А
ОВ

Answers

Answer:

[tex](-\frac{3}{7}, 0)[/tex] -- x intercept

[tex](0,3)[/tex] -- y intercept

Step-by-step explanation:

Given

[tex]y = 7x + 3[/tex]

Required

Determine the x and y intercept

For x intercept.

Set [tex]y = 0[/tex]

So, we have:

[tex]y = 7x + 3[/tex]

[tex]0 = 7x + 3[/tex]

Collect Like Terms

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

Make x the subject

[tex]x = -\frac{3}{7}[/tex]

Hence, the x intercept is: [tex](-\frac{3}{7}, 0)[/tex]

For the y intercept;

Set [tex]x = 0[/tex]

So, we have:

[tex]y = 7x + 3[/tex]

[tex]y = 7*0 + 3[/tex]

[tex]y = 0 + 3[/tex]

[tex]y = 3[/tex]

Hence, the y intercept is: [tex](0,3)[/tex]

AnswerB

Step-by-step explanation:

please answer this ​

Answers

Answer:idl

Step-by-step explanation:

rjrng

-3*-10-1 (*this means multiply)
+30-1
=29//
Answer=29
Hope this helps pal
Please mark me brainliest =)

According to the National Beer Wholesalers Association, U.S. consumers years and older consumed gallons of beer and cider per person during . A distributor in Milwaukee believes that beer and cider consumption are higher in that city. A sample of consumers years and older in Milwaukee will be taken, and the sample mean beer and cider consumption will be used to test the following null and alternative hypotheses:_______.
H0 : µ ≤ 26.9
Ha : µ > 26.9
a. Assume the sample data led to rejection of the null hypothesis. What would be your conclusion about consumption of beer and cider in Milwaukee?b. What is the Type I error in this situation? What are the consequences of making this error?c. What is the Type II error in this situation? What are the consequences of making this error?

Answers

Step-by-step explanation:

H0 : µ ≤ 26.9

Ha : µ > 26.9

a. since the null hypothesis is rejected, we would accept the alternative hypothesis and come to the conclusion that there is enough evidence that beer and cider consumption are higher than 26.9 in the city.

b. type 1 error happens when we reject a true null hypothesis.

this error error in this question would be that our conclusion that beer and cider consumption is greater than 26.9 is not true. what is true is that it is equal to or less than 26.9.

the consequence is that is h0 is false it would be harder to reject it at a lower level of significance.

c. type ii error happens when the null hypothesis is accepted even though it is false. here, error would be that cider we accepted that cider and beer consumption is less than or equal to 26.9 when it is actually greater than 26.9

the consequence is that it would be harder to accept a true h0 at a high level of significance

a shopper pays $45 for 3 packs of t shirts. if each pack costs the same amount and contains 5 tshirts what is the cost per t shirt
A: $3
B: $6
C: $8
D: $9​

Answers

Answer:

$3

Step-by-step explanation:

45/3=15

15/5=3

Subtract: (x^2+ 5x – 4) - (6x2 – 7)

Will give brainliest

Answers

Answer:

x^2+5x-9

Step-by-step explanation:

First multiply 6x2 because that's a number that isn't solved in the parenthesis.

(x^2+5x-4) - (12-7)

Then you subtract 12-7 which equals 5.

(x^2+5x-4)-(5)

You now take the parenthesis off

x^2+5x-4-5

-4-5 equals -9

Now you get the answer: x^2+5x-9

Answer:

-5x² + 5x + 3

Step-by-step explanation:

help asap, i will mark brainliest!

Answers

Answer:

150m

Step-by-step explanation:

[tex]Length=120-(-30)=120+30=150m[/tex]

Guys I suck at this stuff so can someone Just PLEASE HELP ME

Answers

Answer:

I only

Step-by-step explanation:

The others have irrational & unsolvable numbers!

Hope that helps!

A researcher is conducting a study of charitable donations by surveying a simple random sample of households in a certain city. The researcher wants to determine whether there is convincing statistical evidence that more than 50 percent of households in the city gave a charitable donation in the past year. Let p represent the proportion of all households in the city that gave a charitable donation in the past year. Which of the following are appropriate hypotheses for the researcher?

a. H_o : p=0.5 and H_a:p>0.5
b. H_o:p=0.5 and H_a:p≠0.5
c. H_o:p=0.5 and H_a:p<0.5
d. H_o:p>0.5 and H_a:p≠0.5
e. H_o:p>0.5 and H_a:p=0.5

Answers

Answer: a. [tex]H_o : p=0.5[/tex] and [tex]H_a:p>0.5[/tex].

Step-by-step explanation:

Let p represent the proportion of all households in the city that gave a charitable donation in the past year.

Reseracher wants to check whether p > 50% or p > 0.5

Since Alternative hypothesis contains ">, <, ≠" and null hypothesis is the opposite of alternative hypothesis.

So Null hypothesis: [tex]H_o: p=0.5[/tex]

Alternative hypothesis: [tex]H_a:p>0.5[/tex]

The correct option is a. [tex]H_o : p=0.5[/tex] and [tex]H_a:p>0.5[/tex].

I need help so please be nice and help me hurry cause I have to turn this in!!

Answers

Answer:

16 easy

Step-by-step explanation:

find the image of (-4,2) obtained by translating 3 units up, followed by a reflexion over the x axis

Answers

Answer:

(-4,-5)

Step-by-step explanation:

1. Image is the points after the transformation

2. Pre-Image is the original points

3. our x value is left to right and our y value is up and down (x,y)

4. Our points are (-4,2)

5. They first want us to translate three units up, so we add to our y value (y is up and down)

6. 2+3 = 5

7. Our new points are (-4,5)

6. Now we are asked to reflect over the x axis. Remember their are a lot of rules concerning reflections. For a reflection across x-axis our equation is this : (x,y) → (x,-y)

7. (-4,5) → (-4,-5)

8. (-4,-5) is our answer

Can someone help me with these 4 problems A B C D zoom in if needed this is urgent

Answers

Answer:

A is 13

B is 5

C is 0.25

And D is 4.58 or 4.6

Good Luck!

Answer:

A) 0.2 + 7.9 + 3.8 + 1.1 = 13

B) -5.6 + 5 + 4.6 + 1 = 5

C) 3 1/6 - 4 3/4 + 1 5/6 = 1/4

D) 2 1/12 + 3 1/6 - 1 1/12 = 4 1/6

Step-by-step explanation:

A) 0.2 + 3.8 = 4... 7.9 + 1.1 = 9... 4 + 9 = 13

B) 4.6 + 1 = 5.6... 5.6 - 5.6 = 0... 0 + 5 = 5

C) 3 1/6 + 1 5/6 = 5. 5 - 4 3/4 = 1/4

D) 2 1/12 - 1 1/12 = 1. 1 + 3 1/6 = 4 1/6

Hi!




The measure of an angle is 12°. What is the measure of its supplement?


Thank you!!

Answers

168 degrees
180-12=168

Step-by-step explanation:

12° + x° = 90°

x. = 90 - 12

x =78°

A new animal hospital is planning to purchase a total of 36 cages for dogs, cats, and
rabbits. They want to purchase the same number of cages for dogs as for cats, but only
one-fourth as many cages for rabbits. How many of each cage should they buy?

Answers

For simplicity’s sake:
D = dogs, C = cats, R = rabbits

Since the dogs and the cats are the same number, we can say C = D.

R = 1/4D

2D + 1/4D = 36

Combine like terms and get the same denominator

9/4D = 36

9D = 144

D = 16

Now we know that D is 16, so C must be 16 as well. That leaves us with 32 cages.

36 - 32 = 4 rabbit cages. To double check this, 1/4 of 16 does equal 4.

Final answer: 16 D, 16 C, 4 R

Number of dogs cages = 16

Number of cats cages = 16

Number of rabbits cages = 4

What is an expression?

Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that;

For simplicity’s assume;

D = number of dogs cages, C = number of cats cages,

R = number of rabbits cages.

Since, The dogs and the cats cages are the same number,

We can say, C = D.

Only one fourth as many cages for rabbits,

So, we can formulate,

R = 1/4D

Since, A new animal hospital is planning to purchase a total of 36 cages for dogs, cats, and rabbits.

2D + 1/4D = 36

Combine like terms and get the same denominator;

9/4D = 36

9D = 144

D = 16

So,

Number of dogs cages = 16

Number of cats cages = 16

And, Number of rabbits cages = 36 - (16 + 16)

                                                = 36 - 32

                                                = 4

Thus,

Number of dogs cages = 16

Number of cats cages = 16

Number of rabbits cages = 4

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1.) Some banks charge a fee on savings accounts that are left inactive for an extended period of time. The equation y = 5000 * (0.98) ^ x represents the value, y of one account that was left inactive for a period of x years .

a. What was the initial amount of money that was left in this savings account?

b. What is the percent of change each year in this savings account?

Answers

Answer:

a. The initial amount of money that was left in this savings account was of 5000.

b. Decrease of 2% each year.

Step-by-step explanation:

Exponential function:

An exponential function, with an initial value of A(0), and a decay rate of r, as a decimal, is given by:

[tex]A(t) = A(0)(1-r)^t[/tex]

In this question, we have:

[tex]y = 5000*(0.98)^x[/tex]

a. What was the initial amount of money that was left in this savings account?

This is y(0) = 5000

The initial amount of money that was left in this savings account was of 5000.

b. What is the percent of change each year in this savings account?

First as a decimal.

1 - r = 0.98

r = 1 - 0.98

r = 0.02

So a decrease of 2% each year.

you want branliest.more branliest giving out

Answers

Answer:

that is a cute dog

Step-by-step explanation:

1. very fluffy

2. small

3. sleeping

4. teddy bear dog :D

Find the midpoint of the line segment with the endpoints (-6,-8) and (-2,-6)

Answers

Answer: (-4,-7)

Step-by-step explanation:

The Midpiont formale is in the picture and add -6 with -2 and add -8 with -6.

-6 + -2 = -8

-8+-6=-14

-8 divided 2 = -4

-14 divided 2 = -7

(-4,-7)

what is 893 :9 in long division​

Answers

0 remaining 9 i’m just typing more bc it says it’s can’t be under 20 words
Hi, I’m here to help! Here’s what I got:
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Don't forget to// copy str using strdup().//// Note that you will need to assign to *proot the _address_ of the// array element you are allocating, and fill in that element. You// should NEVER return or store the address of a local variable!} else {int cmp = strcmp(str, (*proot)->string);if (cmp == 0) {// Insert code here to increment to count of the bst_node that root// points to (root is what proot points to!). One line of code will// suffice.} else if (cmp < 0) {// Insert code here to call bst_add on the 'left' field of the// bst_node that root points to. (Recall, root is what proot// points to!) To do this, you need need to get the _address_// of the 'left' field of the struct. Again, one line of code// will suffice.} else {// Insert code here to call bst_add on the 'right' field of the// bst_node that root points to, analogously to the previous case.}}}void bst_print(struct bst_node *root) {// Fill this function in.// Here the argument is just a pointer to a bst_node. 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