Evaluate 3(a + b + c)2 for a = 2, b = 3, and c = 4.

Answers

Answer 1

Answer:

Step-by-step explanation:

3(2 + 3 + 4)^2

3(9)^2 = 3(81) = 243


Related Questions

Hillside Travel pays its employees $10 per hour plus 8% commission on all trips booked. Tyrus worked 20 hours last week and booked trips amounting to $2,100. What was his gross pay for last week? *

Answers

Answer:

$368

Step-by-step explanation:

Well, if they pay their employees $10 per hour, and Tyrus worked 20 hours, then we have a base amount of 200, as 10*20=200. Next, we need to think about the 8% commission from 2100, so we multiply 2100*.92 to get 1932 so 2100-1932=168. So, to get the gross pay, you add the base amount, 200, and the commission, 168, together to get $368. Tyrus got a gross pay of 368 dollars last week.

4b+5=1+5b what does b equal​

Answers

Answer:

b=-1

Step-by-step explanation:

1+5b=4b+5

-4b       -4b

1+4b=5

-4b  -4b

1=4b+5

-5 -5

-4 = 4b

b=-1

sorry i made a mistake this could've been shorter but :D

4=b. Cancel out the variables, subtract the numbers, then divide the variable by the number.

Jenae works at a clothing store and gets a bonus at $10 a month, plus $0.50 every time she sells the item of a month. Every costumer compliments her service to the mangers, she gets a $2 bonus. If jenae sold the item of the month 17 time and reciuved 2 costomer compliments. What will her bonus be this month

Answers

Answer: Jenae will get $22.50 at the end of the month

Step-by-step explanation:17*0.50=8.50

2*2=4

8.50+4=12.50

12.50+10=22.50

Answer:

$22.50

10 + 0.5 (17) + 2 (2)

10 + 8.5 + 2 (2)

10 + 8.5 + 4

22.50

there are 60 rooms in a building. 1/4 of the rooms are for management. 1/2 of the rooms are for sales. the rest is for warehouse workers. How many rooms are used for warehouse workers?

Answers

Answer:

1/4 is used for warehouse workers.

Step-by-step explanation:

If 1/4 is used for management and 1/2 are used for sales, together, that's only a total of 3/4 leaving 1/4 left for warehouse workers.

Hope this helps.

Answer:

15 rooms (1/4)

Step-by-step explanation:

No of rooms for the management: 60 × 1/4 = 15

No of rooms for the sales: 60 × 1/2 = 30

No of rooms for warehouse workers: Total rooms - (No of rooms for the management + No of rooms for the sales)

= 60 - (15 + 30)

= 60 - 45

= 15

The number of rooms for the warehouse workers is 15 (which is 1/4 of the total number of rooms).

Pls halp due today >_<. Thank you!

Answers

There are 7 days in a week, using this you can fill out the table.

If you have questions, feel free to add a comment to this answer.

Hope this helps.

頑張って!

Th sum of three(3) consecutive integers is 72. What are the integers?

Answers

Answer:

X + X + 1 + X + 2 = 72

3X + 3 = 72

3X + 3 - 3 = 72 - 3

3X = 69

3X/3 = 69/3

X = 23

Step-by-step explanation:

To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side.

Which point best approximates StartRoot 45 EndRoot? A number line going from 0 to 9. Point A is slightly to the right of 2, point B is to the left of 5, point C is to the left of 7, and point D is to the right of 7.

Answers

Answer:

b

Step-by-step explanation:

1y

Which intervals show f(x) decreasing? Check all that
apply.
4
-3 -2 -1
3
[-2.5, -2]
(-2,-1.5)
0 (-1, 1)
[1.5, 2]
[2, 2.5)
(2.5, 3]
4
-8
12
-16

Answers

I don't have gotten any answer of this question

Two coins are selected at random from 5 coins: 3
dimes and 2 quarters. What is the probability that
both are dimes?

Answers

3/5 because you have 3 dimes and 5 coins total so ur probability would be 3/5

A company owns two manufacturing plants with daily production levels of 8x + 17 widgets and 5x - 7 widgets, where x represents a minimum quantity. How many more items does the first plant produce daily than the second plant?Immersive Reader

Answers

Answer:

3x + 24

Step-by-step explanation:

Given that;

Company owns two manufacting plants with the following daily production levels :

PLANT A:

8x + 17 widgets

PLANT B:

5x - 7 widgets

Where x = minimum quantity

How many more items does the first plant produce daily than the second plant?

Subtract the Plant B's production level from plant A

8x + 17 - (5x - 7)

8x + 17 - 5x + 7

Collecting like terms

8x - 5x + 17 + 7

3x + 24

Hence, the number of items the first plant produce daily than the second plant is :

3x + 24

Hi.
i need help with this question.

Workings Please.

1. A 210° sector of a circle of radius 10cm is used to make a cone. Find the radius of the base of the cone and it's height.​

Answers

Answer:  radius = 5.83 cm     height = 8.12 cm

Step-by-step explanation:

First, let's find the circumference of the 210° section of the circle.

[tex]C=2\pi r\bigg(\dfrac{\theta}{360^o}\bigg)\\\\\\C=2\pi(10)\bigg(\dfrac{210^o}{360^o}\bigg)\\\\\\C=\dfrac{35}{3}\pi[/tex]

The circumference of the the cone is [tex]\dfrac{35}{3}\pi[/tex] .  We can use this to find the radius .

[tex]C=2\pi r\\\\\dfrac{35}{3}\pi=2\pi r\\\\\\\dfrac{35\pi}{3\cdot 2\pi}=r\\\\\\\dfrac{35}{6}=r\\\\\\5.83=r[/tex]

When you fold the 210° section into a cone, the slant height is the original radius of 10.  We can use the radius and slant height of the cone to form a right triangle with the height.  Use the Pythagorean Theorem to find the height.

radius² + height² = slant height²

[tex]\dfrac{35}{6}^2\ +\ h^2=10^2\\\\\\.\qquad \quad h^2=10^2-\bigg(\dfrac{35}{6}\bigg)^2\\\\.\qquad \quad h=\sqrt{\dfrac{6^2(10)^2-35^2}{6^2}}\\\\\\.\qquad \quad h=\sqrt{\dfrac{2375}{36}}\\\\\\.\qquad \quad h=8.12[/tex]

PLS HELP ALGEBRA 2 QUESTION ASAP 5 STARS AND BRAINLIEST what type of polynomial is [tex]-5x^{4}y+3x^{2}y+4xy-6y+1[/tex] and show your work.

Answers

Answer:

Binomial

Step-by-step explanation:

Edited to add:

It can also be called a binomial because there are 2 unlike terms x and y. I'm not sure what you are studying, so it may be better to go with binomial. The Quartic is when you are looking at the degree of a single term polynomial.

You can name a polynomial based on terms, or based on degrees.

If it's based on degree it would be bi-quadratic, because it's ^4 and you have 2 different terms. If you're looking at terms it would be binomial because you have x and y to solve for.

The degree of terms is a major deciding factor whether an equation is homogeneous or not. A polynomial of more that one variable is said to be homogeneous if the degree of each term is the same. For example, 2x^7+5x^5y^2-3x^4y^3+4x^2y^5 is a homogeneous polynomial of degree 7 in x and y.

You have a 4 term polynomial with 2 variables x and y. The highest degree in your equation is 5 (4 + 1 from the first term) so the degree of the multivariable polynomial expression is 6.

All these answers are correct, it just depends what you're studying. If some of these words are new, and others you recognize from class or your book, go with the one that looks familiar.

Answer: 5th degree polynomial (quintic polynomial)

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

Explanation:

5x^4y is the same as 5x^4y^1. The exponents 4 and 1 sum to 4+1 = 5

The term 3x^2y, or 3x^2y^1, has the exponents add to 3

The term 4xy has the exponents add to 2

The largest sum of exponents is 5, so we have a 5th degree polynomial

This is known as a quintic polynomial

Note: the degree of the polynomial is equal to the largest sum of exponents for each term, so the degree is 5.

can anybody help me out thanks I'm having trouble

Answers

Answer:

b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

theres a test that was like this one that i tookk

In a box, there are black pens, red pens and green pens
the ratio of black pens to not black pens is 9:11
the ratio of green pens to not green pens is 3:5
fins the ratio of black pens to red pens to green pens

Answers

What do we know?

There are 9 black pens and 3 green pens.

What else do we know?

We know that 11 of the pens aren't black, and 5 of them aren't green.

Black pens (9) : red pens (6) : green pens (3)

How'd I get 6?

If 11 pens aren't black, they had to be green, but 5 of them weren't green. So, I subtracted 11 from 5 to get 6 red pens.

I hope that makes sense.

Final answer:

9:6:3

WARNING: I could be wrong as I'm not fully sure, but this is what I think.

Select all the true statements. Line segment from -6 to 6. Point A is at -2, point b is at 1 and point c is at 6 Group of answer choices The length of AB is -3. The length of BC is 6. AB + BC = AC d(B, C) = BC = |6 - 1| AB + AC = BC

Answers

Answer:

AB + BC = AC

d(B, C) = BC = |6 - 1|

Step-by-step explanation:

Given the following information :

Line segment from -6 to 6. Point A is at -2, point b is at 1 and point c is at 6 Group of answer choices The length of AB is -3

Length of line segment spans from - 6 to + 6

Location of points :

Point A = - 2

Point B = 1

Point C = 6

AB = 3

BC = 5

AC = 8

AB + BC = AC ; 3 + 5 = 8

d (B, C) = 5 = |6 - 1|

Kindly check attached picture for more explanation

Find the product. (3x2 + 2y) (5x2 + y) A. 15x4 + 13x2y + 2y2 B. 15x4 + 13x2y2 + 2y2 C. 8x4 + 10x2y.+ 3y2 D. 15x4 + 10x2y + 2y2​

Answers

Answer:

Its A. 15x^4+13x^2y+2y^2

Solve for x: -32x + 6 = -12 (1 point)
a
x = 1 and x = 5
Ob
x = -1 and x = -5
С
x = -9 and x = 3
No solution

Answers

Answer:

none of the above solutions

Step-by-step explanation:

-32x+6=-12

-32x=-12-6

-32x=-18

divide both sides by 18x=16/9

HELP!!!!! Will give out brainliest

Answers

Ans: (3, infinity)

Hope this can help.

A strand of hair grows at a constant rate of
a
inch per month. A different strand of hair grows
at a constant rate of 4 inches per year. Is this a proportional relationship, why or why not.

Answers

Answer:

No

Step-by-step explanation:

In a single year, there are 12 months. 1 month=1 inch.

12 x 1 inch is 12 inches.

12 is greater than 4, so the answer is not a proportional relationship.

12 is greater than 4, so the answer is not a proportional relationship.

What are ratio and proportion?

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

A strand of hair grows at a constant rate of 1 inch per month.

In a single year, there are 12 months. 1 month = 1 inch.

12 x 1 inch is 12 inches.

A different strand of hair grows at a constant rate of 4 inches per year.

12 is greater than 4, so the answer is not a proportional relationship.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ5

 If -5 > a and a > b then -5 is *​

Answers

Answer:

greater than b

Step-by-step explanation:

We can use the transitive property for this answer. The transitive property states that if A=B, and B=C, A will always be equivalent to C. Similarly in this equation, -5 is greater than a, and a is greater than b, so -5 must be greater than b.

If triangle ABC is reflected over the y-axis which point(s) will be their own image(s)?

Answers

Answer:

Please read the explanation!

Step-by-step explanation:

Hi! I will try to do my very best with helping you. Because there is not an example that goes along with this question, I will give my own.

Lets say we have triangle ABC in quadrant II. The Points are:

A: (-5,1)

B: (-3,5)

C: (-1,1)

If we plot that than we have a triangle. And when we reflect anything, not just a triangle, we would need to basically flip it over and mirror the image. The triangle will move, but it is the same triangle as it was before. All that has happened is that is was married to the otherside.

If you are a bit confused think of when you are in front of a mirror.

So let's reflect it over the y-axis.

When in doing so, you need to make sure that the x in (x, y) is changed into a positive number. We need to make sure that we know that quadrant I has positive x-axis.

So,

A becomes (5,1)

B becomes (3,5)

C becomes (1,1)

And if you plot that it should be flipped or reflected like a mirror image.

I really hope this helped!

Write interval notation of the given number line.
-3 -2 -1 0 1 2 3 4 5

Answers

Answer:

(0,3]

Step-by-step explanation:

You put ( when the number is included and ] when the number isn't included. So 0 is included and 3 isn't.

Please help will.gibe brainliest !!!

Answers

Answer:

Please give brainliest

Step-by-step explanation:

1. 0, 121, 8

2. 121, 8

3. 121, 8

The radius of a circle is 3 millimeters. What is the circle's circumference?
r=3 mm
Use 3.14 for .

Answers

Answer: bro it’s

18.84

Step-by-step explanation:

if (5^0)^x =1 what are the possible values for x?​

Answers

Answer:

x can be any real value

Step-by-step explanation:

(5^0)^x =1

We know that a^ b^c = a^ ( b*c)

5^(0*x) =1

5^0 =1

1=1

It doesn't matter the value of x because 0*x =0

x can be any real value

X can be any value I think

A model car is built on a scale of 1:43.
The model is 11 centimetres long.
How long, in metres, is the real car?

Answers

Answer:

4.83 m

Step-by-step explanation:

Given:

Model : car = 1 : 43Model = 11 cmCar = ? m

Solution:

11 : x = 1 : 4311*43 = x*1x = 483 cm x = 4.83 m

4.83

i hope this helped

Step-by-step explanation:

The control group in an experiment is the group that did not have a variable changed.
A False
B True

Answers

the answer is
true.

Carla is 5 years older than Nick and Nick is 4 years older than Nancy. The
sum of their ages is 46. How old is Carla?

Answers

Answer:

Carla is 20 years old

Step-by-step explanation:

If Nancy is 11, then Nick is 15 and Carla 20. 11+15+20=46

Here is the work for the problem...

What is the radius given the
diameter is 15?

Answers

Answer:

7.5

Step-by-step explanation:

the radius of a circle is half of the diameter.

so: 15/2=7.5

hope that helps

7.5! The radius of a circle is half of what the diameter is.


if y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of y when x is 11?

Answers

Answer:

39,6

Step-by-step explanation:

[tex] \frac{5}{11} = \frac{18}{y} [/tex]

= 18 x 11

= 198

= 198 ÷ 5

= 39,6

The answer is 39,6

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