6z^6-21z^4-12z^2
give in step by step explanation​

Answers

Answer 1

This expression cannot be simplified, as you cannot add or subtract variables raised to different exponents.

Answer 2

Answer:

Step-by-step explanation:

6z⁶ - 21z⁴ - 12z² = 2*3*z⁶ - 3*7*z⁴ - 4*3*z²

                           = 3z² (2z⁴ - 7z² - 4)


Related Questions

Please help! Having a hard time with these, appreciated if you do :)

Answers

Answer:

Hey there!

Here's the first question.

Let l be the length, and w be the width.

Thus, we have 5w=l+4, or 5w-4=l.

The perimeter is 76, so 2l+2w=76.

We see that l=5w-4, so substitute 5w-4 for l.

2(5w-4)+2w=76

10w-8+2w=76

12w-8=76

12w=84

w=7

Thus, the length is 5(7)-4, or 31.

Option C is correct.

Here is the second question)

Let x be the larger angle and y be the smaller angle.

Supplementary angles add to 180 degrees.

x+y=180

x=3y

Similar to the first problem change all the x's into 3y's

3y+y=180

4y=180

y=45

x=135

So the two angles are 45 and 135 and they add to 180 degrees (Choice D)

Hope this helps :)

Can somebody explain this to me and the answer I don’t get this at all

Answers

Answer:

a)~5572.45 (cm^3)

b)~1519.76 (cm^2)

Step-by-step explanation:

A volleyball has a diameter d = 22 cm

=> Its radius r is r = d/2 = 22/2 = 11 cm

a) Its volume is calculated by:

V = (4/3) x pi x r^3

with p = ~3.14 and r = 11 cm

=> V = (4/3) x 3.14 x 11^3 = ~5572.45 (cm^3)

b) Its surface area is calculated by:

A = 4 x pi x r^2

with p = ~3.14 and r = 11 cm

=> A = 4 x 3.14 x 11^2 = ~1519.76 (cm^2)

What is the median of the data set?

Answers

The answer would be 32. If you write out all the numbers and cross them off on both sides you end up with 30 and 34. To get the median you add these numbers together and divide by 2!

expand the following 4 (x - 1)

Answers

Answer:

4x - 4

Step-by-step explanation:

4 × x = 4x

4 × -1 = -4

4x - 4

Answer:

4x-4

Step-by-step explanation:

4(x-1) 4*x-1*44x-4

Which of the following are possible side lengths of a triangle? (select all that apply) a. 1, 1, 2 b. 3, 4, 5 c. 5, 5, 11 d. 7, 8, 12 e. 4, 4, 4 f. 4, 8 ,13

Answers

Three Answers:

Choice B

Choice D

Choice E

=================================================

Explanation:

Use the triangle inequality theorem. This is the idea where adding any two sides must lead to a result larger than the third side; otherwise, a triangle is not possible. I recommend cutting out strings of paper of these lengths to confirm that you can make a triangle or not.

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

For choice A, a triangle is not possible since the first two sides add to 1+1 = 2, but this isn't larger than the third side of 2 units. All we can do really is just form a straight line and not a triangle. We can rule choice A out.

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

Choice B is a triangle. Specifically it is a 3-4-5 right triangle that is famous with the pythagorean theorem. Note how...

3+4 = 7 is larger than 54+5 = 9 is larger than 33+5 = 8 is larger than 4

so adding any two sides of this triangle leads to the sum being larger than the third remaining side. Choice B is one of the answers.

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

Choice C is not a triangle. We have 5+5 = 10 but that isn't larger than 11. We can rule this out.

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

Choice D is a triangle since

7+8 = 15 is larger than 127+12 = 19 is larger than 88+12 = 20 is larger than 7

any two sides sum to a value larger than the third side

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

Choice E is a triangle. We have an equilateral triangle with all sides the same length, and all angles the same value (60 degrees). This is another answer.

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

Choice F is similar to choice C. We have the first two sides add to something smaller than the third side (4+8 = 12 is smaller than 13). We can rule this out.

Determine whether the given source has the potential to create a bias in a statistical study: An article in Journal of Nutrition noted that chocolate is rich in flavonoids. The article reports that "regular consumption of foods rich in flavonoids may reduce the risk of coronary heart disease." The study received funding from the candy company, and the Chocolate Manufacturers Association. Identify and explain at least one source of bias in the study describe. Then suggest how the bias might have been avoided?

Answers

Answer: The source has the potential to create bias because it was sponsored by companies that will benefit from it. This might have been avoided by stoping these companies from sponsoring the study.

Explanation:

A study is biased if its results or process is not objective, which means they have been influenced by a specific perspective or interest, and the results are inaccurate. One of the factors that causes bias is the participation of entities with economic interests in the study.

This occurs in the case described because a candy and a chocolate company sponsored the studies, and therefore results might be modified to benefit the companies. According to this, the study has the potential of being biased, and the main source is the fact it was sponsored by companies with interests.

Besides this, this can be avoided if the study does not accept sponsoring by companies with specific interests. In this way, the study will be objective, and the results will not be influenced, which means the information provided by the study would be accurate and credible.

A recipe calls for a total of 3 and two-thirdscups flour and sugar. If the recipe calls for One-fourthcup of sugar, how much flour is needed?

Answers

Answer:

3 and 5/12

Step-by-step explanation:

To find how much flour you need, subtract how much sugar you need from how much total you need of sugar and flower. To do this, turn both numbers into improper fractions. This means 3 and 2/3 turns into 11/3 as there are 3 thirds per whole, and there are three wholes plus the 2 thirds, equaling 11/3. The 1/4 is already an improper fraction, so you can move on.

Now you just covert them to have the same denominator by multiply 11/3 by 4 on top and bottom and 1/4 by 3 on both the top and bottom to get 44/12 and 3/12. Now you just subtract 44/12-3/12 and get 41/12. Made into a mixed number that is 3 and 5/12.

The recipe will require three and five-twelfths (3 5/12) fraction cups of flour.

What are fractions?

A fraction is a portion of a whole or, more broadly, any number of equal pieces.

It is written in the form p/q, read as "p by q", where p is called the numerator and q is called the denominator, and the fraction p/q represents p number of equal parts from q number of equal parts.

Fractions are of two types:

Proper fraction: Where numerator < denominator. Improper fraction: Where numerator > denominator. These fractions are written in mixed form also.

How to solve the question?

In the question, we are informed that a recipe calls for a total of 3 and two-thirds cups of flour and sugar.

We are asked if the recipe calls for One-fourth cup of sugar, then how much flour is needed.

We suppose the quantity of flour required to be x cups.

We know the quantity of sugar required = One-fourth cup.

This can be written as a fraction = 1/4 cup.

We know the total sugar and flour is three and two-thirds cups.

This can be written as a fraction = 3 2/3 cup = 11/3 cup.

Now, we know quantity of sugar + quantity of flour = total quantity

or, 1/4 + x = 11/3

or, x = 11/3 - 1/4 = (44 - 3)/12 = 41/12 = 3 5/12.

Therefore, the recipe will require three and five-twelfths (3 5/12) fraction cups of flour.

Learn more about fractions at

https://brainly.com/question/11562149

#SPJ2

Graphically, a point is a solution to a system of two inequalities if and only if the point
o lies in the shaded region of the top inequality, but not in the shaded region of the bottom inequality
O lies in the shaded region of the bottom inequality, but not in the shaded region of the top inequality
O lies in the shaded regions of both the top and bottom inequalities
x does not lie in the shaded region of the top or bottom inequalities.
Intro
Done

Answers

Answer:

Lies in the shaded regions of both the top and bottom inequalities.

Step-by-step explanation:

The point of solution for BOTH systems of inequalities must work for both equations. Therefore, the point has to lie in both top and bottom shaded regions or it won't work for both, but just one.

Answer:

C: Lies in the shaded regions of both the top and bottom inequalities.

Step-by-step explanation:

Hope this helps!

4. A cricketer scores the following runs in eight innings:
58, 76, 40, 35, 46, 45, 0, 100.
Find the mean score.​

Answers

Answer:

i believe the answer would be 50

Step-by-step explanation:

to find the mean you add all of the numbers together and divide it by the amount of numbers given.

For example, in this problem, you would add:

58+ 76+ 40+ 35+ 46+ 45+ 0+ 100

which would equal 400

then you you divide 400 by 8 because there are 8 numbers and it gives you the answer of 50

(hope this helped <33)

Answer:

           50

Step-by-step explanation:

[tex]\dfrac{58+76+40+35+46+45+0+100}{8}=\dfrac{400}8=50[/tex]

Can someone help me with this question please.....

Answers

Answer:

9g/cm3 (g/ml)

Step-by-step explanation:

d(roe)=m/v=63g/7cm3=9g/cm3(g/ml)

d(roe)=m/v=117g/13cm3=9g/cm3(g/ml)

Step-by-step explanation:

We can get the density either by converting both the masses and the volumes or we solve them like like that using the formula Density = P = Mass/Volume. After converting both mass and volume, your unit will be in kg/m^3..........Without converting, your unit will be in g/cm^3

When an object is removed from a furnace and placed in an environment with a constant temperature of 70°F, its core temperature is 1500°F. One hour after it is removed, the core temperature is 1170°F. (a) Write an equation for the core temperature y of the object t hours after it is removed from the furnace. (Round your coefficients to four decimal places.)

Answers

Answer:45 I think

Step-by-step explanation:

12
y= x2 + x-2
x+ y=1
If (x, y) is a solution of the system of equations
above, which of the following is a possible value of
xy?
A) 7
B 1
C) -1
D) -12​

Answers

Answer:

D,xy=-12

Step-by-step explanation:

y=x²+x-2

x+y=1

or x+x²+x-2=1

x²+2x-3=0

x²+3x-x-3=0

x(x+3)-1(x+3)=0

(x+3)(x-1)=0

either x=-3

or x=1

when x=-3

x+y=1

-3+y=1

y=1+3=4

one solution is (-3,4)

xy=-3×4=-12

if x=1

1+y=1

y=0

second solution is (1,0)

xy=1×0=0

Which triangle correctly shows that the side opposite the larger angle is the larger side?

Answers

Answer:

The answer is C

I turned it in and it was correct

Step-by-step explanation:

Please mark brainliest

Answer:

c

Step-by-step explanation:

please hellp please helllp​

Answers

Answer:

a) y = [tex]\frac{7}{17}[/tex]

b) x = 4

Step-by-step explanation:

a) [tex]\frac{3y+2}{5} =4y-1[/tex]

3y + 2 = 20y - 5

2 = 20y - 3y - 5

2 = 17y - 5

2 + 5  = 17y

7 = 17y

y = [tex]\frac{7}{17}[/tex]

b) x² + 5 = 21

x² = 21 - 5

x² = 16

x = √16

x = 4

Check the attachment... hope it helps :)

x= +4 or -4

y= 7/17

if f(x) = 3x^2-2x+4 and g(x)=5x^2+6-8 find (f+g)(x)

Answers

Answer: 8x²+4x-4

Step-by-step explanation:

(f+g)(x) is f(x)+g(x). Since we are given f(x) and g(x), we can directly add them together.

3x²-2x+4+5x²+6x-8                                  [combine like terms]

8x²+4x-4

Abby earns $7 per hour working as a cashier at a cafe. She earned $ blank in a week in which she worked 28 hours. She earned $ blank in a month which she worked 112 hours.

Answers

Answer:she earned 196$ in a week in which she worked 28 hours. she earned 784$ in a month which she worked 112 hours.

196$ and 784$ are your answers

Step-by-step explanation:

The sum of two numbers is 30. If we double the larger number, and subtract three times the smaller number, the result is 5. What is the positive difference between the two numbers?

Answers

Answer:

8 is the difference, and 19 and 11 are the numbers. Hope this helped!

Answer: The difference is 8.

Step-by-step explanation:

We will let l represent the larger number s represent the smaller number.

so we know that L + S =30  

Also  2L - 3S = 5  shows the relationship between the numbers.

Now we have two equations.  

L + S =30

2L - 3S = 5  solve using any method.

L + S =30  solve for L  and substitute it into the second equation.

L + S = 30

   -S     -S

L = 30 -S    

2(30-s) - 3s = 5  Distribute

60 - 2s - 3s = 5  combine like terms

60 -5s = 5

-60         -60

-5s = -55

s = 11  

We know the smaller number is 11 so to find the larger number  we will subtract 11 from 30.

30 -11 =  19  

The larger number is 19

so To find the difference we will subtract 11 from 19.

19 -11 = 8

After substituting, what is the first step when evaluating x + 3 x minus 4.2 when x = 5?

Answers

Answer:

Multiply the 3*5

Step-by-step explanation:

x+3x -4.2

Substitute x=5

5 + 3*5 -4.2

PEMDAS states multiply first

Multiply the 3*5

5 + 15 -4.2

Answer:

a!

Step-by-step explanation:

yw

Find the distance between 1, 4) and (4,0).
Please helpppp meee

Answers

Answer:

5

Step-by-step explanation:

Distance formula

[tex]\sqrt{ (0-4)^2 + (4-1)^2}\\\sqrt{16 + 9)}\\ \sqrt{25\\[/tex]

Correct ^...............

A scientist measured the amounts of fertilizer given to plants, the heights to which the plants grew, and the amount of fruit the plants produced. 2 2-column tables with 5 rows. For table 1, column 1 is labeled Fertilizer (ounces) with entries 175, 192, 130, 128, 184. Column 2 is labeled Height of tree (inches) with entries 50, 52, 36, 35, 50. For table 2, column 1 is labeled Fertilizer (ounces) with entries 175, 192, 130, 128, 184. Column 2 is labeled amount of fruit produced (pounds) with entries 112, 115, 87, 85, 112. The scientist graphed the two sets of data and found that a positive correlation exists in each set. Which statement explains whether there is a relationship between the height of the tree and the amount of fruit produced. Although fertilizer is in both data sets and is positively correlated, only a weak correlation can exist between tree height and fruit yield. Although fertilizer is in both data sets and is positively correlated, it is impossible for any correlation to exist between tree height and fruit yield. Since fertilizer is in both data sets and is positively correlated to both tree height and fruit yield, it is likely that tree height and fruit yield are negatively correlated. Since fertilizer is in both data sets and is positively correlated to both tree height and fruit yield, it is like that tree height and fruit yield are also positively correlated.

Answers

Answer:

d. Since fertilizer is in both data sets and is positively correlated to both tree height and fruit yield, it is like that tree height and fruit yield are also positively correlated.

Step-by-step explanation:

The correlation refers to the relationship between two or more variables i.e how they are interrelated to each other. It can be positive, negative, perfect, etc

As we can see in the figure that in both the data sets the fertilizer contains the same values which depict that they are positively correlated with respect to the height of tree and fruit yield that derives that the height of tree and fruit yield is also positively correleated

Here positive correlation means that the two variables moving in a similar direction i.e if one variable increased so the other is also increased

Therefore the option d is correct

Answer:

D

Step-by-step explanation:

I got it right on the test.

Trust me

The starting salary for a particular job is 1.2 million per annum. The salary increases each year by 75000 to a maximum of 1.5million. In which year is the maximum salary reached

Answers

Answer:

In the 5th year

Step-by-step explanation:

For the first year, the salary is 1.2million = 1,200,000

For the second year, the salary is 1.2million + 75000 = 1,200,000 + 75,000 = 1,275,000

.

.

.

For the last year, the salary is 1.5million = 1,500,000

This gives the following sequence...

1,200,000 1,275,000  .   .   . 1,500,000

This follows an arithmetic progression with an increment of 75,000.

Remember that,

The last term, L, of an arithmetic progression is given by;

L = a + (n - 1)d           ---------------(i)

Where;

a = first term of the sequence

n = number of terms in the sequence (which is the number of years)

d = the common difference or increment of the sequence

From the given sequence,

a = 1,200,000                          [which is the first salary]

d = 75,000                               [which is the increment in salary]

L = 1,500,000                          [which is the maximum salary]

Substitute these values into equation (i) as follows;

1,500,000 = 1,200,00 + (n - 1) 75,000

1,500,000 - 1,200,000 = 75,000(n-1)

300,000 = 75,000(n - 1)

[tex]\frac{300,000}{75,000} = n - 1[/tex]

4 = n - 1

n = 5

Therefore, in the 5th year the maximum salary will be reached.

PLZ HELP! QUICK! WILL MARK BRAINLIEST!!! 20 POINTS!!! A portion of the Quadratic Formula proof is shown. Fill in the missing statement.

Answers

Answer:

D.

Step-by-step explanation:

After the third step, take the square root of both sides.

Third Step:

[tex](x+\frac{b}{2a})^2=\frac{b^2-4ac}{4a^2}[/tex]

Thus, the fourth step is:

[tex]\sqrt{(x+\frac{b}{2a})^2}=\sqrt{ \frac{b^2-4ac}{4a^2}} }[/tex]

The left side cancels:

[tex](x+\frac{b}{2a})=\pm\sqrt{ \frac{b^2-4ac}{4a^2}} }[/tex]

D.

Answer:

x + [tex]\frac{b}{2a}[/tex] = ±[tex]\sqrt \frac{b^{2} - 4ac }{4a^{2} }[/tex]     aka choice D

Step-by-step explanation:

Construct an inscribed circle in triangle PQR by finding the incenter of the triangle.

Answers

Answer:

Check it below

Step-by-step explanation:

Hello!

By definition, the intercept of the 3 bisectors, within a triangle is the Incenter. So let's get started, by tracing three bisectors.

In the triangle PQR::

Use a compass, open its legs with a little more than half of [tex]\overline{PQ}[/tex]  . Place the needle point in the vertex of P. Mark!Do the same, placing the needle point in Q, following [tex]\overline{QP}[/tex] direction. MarkRepeat it with the other triangle's line segment, namely:

[tex]\overline {QR},\:\overline{PR}[/tex]

   4.Trace with a ruler, from each intersection point a line. You'll trace three lines then.

    5. Place the compass' needle point in this intersection point, (inside the triangle) with a hinge up to the triangle side, draw the circle inscribed.

 

Answer:

edg but few yrs later

Step-by-step explanation:

Helppp!!!! please!!!

Answers

Answer:

d. 15 square yard

Step-by-step explanation:

[tex]area \: of \: shape \\ = \frac{1}{2} \times base \times height \\ \\ = \frac{1}{2} \times 10 \times 3 \\ \\ = \frac{1}{2} \times 30 \\ \\ = 15 \: {yd}^{2} [/tex]

Answer: d. 15yd^2

Explanation:
A = (b x h)/2
A = (10 x 3)/2
A = 30/2
A = 15

Given \qquad m \angle AOC = 104^\circm∠AOC=104 ∘ m, angle, A, O, C, equals, 104, degrees \qquad m \angle AOB = 7x + 30^\circm∠AOB=7x+30 ∘ m, angle, A, O, B, equals, 7, x, plus, 30, degrees \qquad m \angle BOC = 9x + 42^\circm∠BOC=9x+42 ∘ m, angle, B, O, C, equals, 9, x, plus, 42, degrees Find m\angle BOCm∠BOCm, angle, B, O, C:

Answers

Answer:

∠BOC = 60°

Step-by-step explanation:

Given the following angles.

∠AOC=104°

∠AOB = (7x + 30)°

∠BOC= (9x + 42)°

Since all the angles have a common point at O, it can be inferred that;

∠AOC = ∠AOB + ∠BOC

104° = (7x + 30)° + (9x + 42)°

104° = 16x+72

16x = 104-72

16x = 32

x = 32/16

x = 2°

To get ∠BOC:

Since ∠BOC = 9x+42, we will substitute x = 2° into the equation to get the angle ∠BOC

∠BOC = 9(2) + 42

∠BOC = 18+42

∠BOC = 60°

The alphabet of a fictionary tribe consists of three letters: A, O and M. Any combination of no more than four of these letters is considered a word. How many words are does this tribe's language have?

Answers

Answer:

120 words

Step-by-step explanation:

There are only three possible letters, assuming words can be 1, 2, 3 or 4 letters long:

The number of 1 letter words is 3

The number of 2 letter words is 3² = 9

The number of 3 letter words is 3³ = 27

The number of 4 letter words is 3⁴ = 81

The total number of possible words is:

[tex]3+9+27+81 = 120\ words[/tex]

This tribe's language has 120 words.

The function f(x) = 4e* when evaluated for f(2) is:

Answers

Answer:

The function f(x) = 4e* when evaluated for f(2) is:

Step-by-step explanation:

Its slope must be m= f'(0).

f'(x) = 8e2x ⇒ m = f'(0) = 8

y - y1 = m(x - x1)

m = 8

y1 = 10

x1 = 0

cause

Hi! I need help with my maths the question is 69x420=? (i dont have calculator)

Answers

Answer:

69×420=28980

just use calculator

Step-by-step explanation:

i hope this will help you :)

Answer:

28,980

Step-by-step explanation:

6. Trail Bike Rentals charges a $16 fixed fee plus $8 per hour for renting a bike. Matt paid $72
to rent a bike. How many hours did Matt use the bike? Write an equation to represent this
scenario and solve for the variable. (2 marks)
please please help asap!

Answers

Answer:

7 hours

Step-by-step explanation:

The total amount is the flat fee plus the amount per hour times the number of hours

16 + 8h = 72

Subtract 16 from each side

16+8h-16 = 72 -16

8h = 56

Divide by 8

8h/8 = 56/8

h = 7

7 hours

Answer:

The equation is p = 8h+16

Mike rented a bike for 7 hours

Step-by-step explanation:

[tex]equation=8h+16\\Mike\\paid \\72\\\\72 = 8h+16\\Divide\\9=h+2\\Subtract\\7=h[/tex]

Hope it helps <3

please simplify this

Answers

Answer:

root 10

Step-by-step explanation:

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