Answer:
1.3 ounces, 1.3*5 =6.5
100 points brainliest!!! plz answer all to the best of your ability no links they don't work for me
Answer the following questions using what you've learned from this unit. Write your responses in the space provided.
1. Part I: The degree of a polynomial is the (greatest / least) of the degrees of its terms. (Circle the term that correctly completes this definition.) (1 point)
Part II: In order to write a polynomial in descending order, you must write the terms with the exponents (decreasing / increasing) from left to right. (Circle the term that correctly completes this rule.) (1 point)
Part III: For each polynomial, determine the degree and write the polynomial in descending order. (4 points: 2 points each)
A. –4x2 – 12 + 11x4 B. 2x5 + 14 – 3x4 + 7x + 3x3
2. Use addition and subtraction to simplify the following polynomials.
A. Add polynomials: (3 – 4x + 8x2) + (–6 + 2x – 5x2)
Step 1: Rewrite the polynomials without the parentheses. (1 point)
Step 2: Write the polynomial in descending order and use parentheses around like terms. (1 point)
Step 3: Add the like terms identified in Step 2 to simplify the polynomial. (1 point)
B. Subtract polynomials: (3x – 5 – 7x2) – (–2 + 6x2 – 5x)
Step 1: Rewrite the polynomials without the parentheses. Remember to multiply each term in the second parentheses by –1. Show your work. (2 points)
Step 2: Write the polynomial in descending order and use parentheses around like terms. (1 point)
Step 3: Add the like terms identified in Step 2 to simplify the polynomial. (1 point)
3. Use the FOIL method to multiply binomials.
Part I: When multiplying binomials, the FOIL method helps you to organize the multiplication of each term of the first binomial by each term of the second. Fill in each blank with the word used to show how the binomials' terms are multiplied. (2 points: 0.5 point each)
F
O
I
L
Part II: Using the FOIL method, multiply the terms in the binomials below. Show your work in the blanks provided. Then, add any like terms and write the polynomial in standard form in the space provided. Show your work. (8 points: 2 points each)
A. (3x + 7)(2x – 5) B. (x2 + 2x)(5x2 – 3x)
______ + _______ + _______ + _______
______ + _______ + _______ + _______
______________________
______________________
C. (5x + 4)(5x – 4) D. (x2 – 7)(x2 – 4)
______ + _______ + _______ + _______
______ + _______ + _______ + _______
______________________
______________________
4. Use the distributive property to multiply the trinomial by the binomial.
Circle the first term in the trinomial, multiply it by each term in the binomial, and place each result in the blank spaces provided. Repeat this process for the second and third terms of the trinomial until all of the spaces are filled in. Finally, in the space provided beneath the blanks, simplify the expression by combining like terms and arranging the terms from highest to lowest order. Show your work. (4 points)
(3x2 – 2x + 7)(x2 + 2x)
______ + _______ + _______ + _______ + ______ + _______
5. Use the vertical method to multiply two trinomials.
Step 1: Multiply the top trinomial by the last term in the bottom trinomial. Place each result in the blank spaces provided. (2 points)
Step 2: Multiply the top trinomial by the middle term in the bottom trinomial. Place each result in the blank spaces provided. (2 points)
Step 3: Multiply the top trinomial by the first term in the bottom trinomial. Place each result in the blank spaces provided. (2 points)
Step 4: Add the three partial products to find the final answer. Place the result at the bottom. (1 point)
6. Sabrina is making an open box from a piece of cardboard that has a width of 12 inches and a length of 18 inches. She'll form the box by making cuts at the corners and folding up the sides. If she wants the box to have a volume of 224 in3, how long should she make the cuts?
Part I: Each dimension (width, length, and height) of the finished box can be represented by a polynomial expression. If the height is x inches, what is the length in terms of x? (2 points)
Height = x
Width = 12 – 2x
Length =
Part II: The formula for volume is v = l • w • h. Use the polynomial expressions from Part I to write an equation to represent the volume of the box. Simplify on the right side by multiplying the polynomials and writing the answer in descending order. Show your work.
HINT: First multiply the binomials representing length and width. Next, multiply the resulting trinomial by the expression representing height. (3 points)
v =
Part III: The length of each cut at the corners is represented by x. To make a box, x must fall in a certain range of values. For example, x cannot be 15 because that would make the flap longer than the width of the box. Identify one reasonable value of x. Why did you choose that value? (2 points)
Part IV: Use the polynomial equation you wrote in Part II to find the volume of the box for each value of x. Show your work. (5 points)
Answer:
Part I: The degree of a polynomial is the greatest of the degrees of its terms.
Part II: In order to write a polynomial in descending order, you must write the terms with the exponents decreasing from left to right.
Part III: A. -4x² + 11x - 12, degree = 2,
B. 5x³ + 4x + 14, degree = 3.
Step-by-step explanation:
Part I : Since the degree of a polynomial is the highest power of its monomials ( single term ),
e: degree of is 5.
Thus, in part I, the correct option is 'greatest'
Part II: When we write a polynomial then we write the terms of the polynomial in descending order of their degrees.
Thus, in part II the correct option is 'least'
Part III: A.
∵ -4x² has the highest power in the polynomial.
⇒ Degree = 2,
Also, in the polynomial descending order of degrees,
2 > 1 > 0
⇒ polynomial in descending order,
B.
Combining like terms,
∵ 5x³ has the highest degree,
⇒ Degree = 3,
Also, the order of the degrees in the polynomial is,
3 < 2 < 1 < 0
Thus, the polynomial in descending order,
Answer: I had trouble with this one too.
Step-by-step explanation:
which value represents the zero of the linear function y=5x-10?
A. -10
B. 10
C. -2
D. 2
Plz help ASAP !!!!! Plzzz
Answer:
A box has 6 pencils. Each pencil weighs x grams. The 6 pencils weigh a combined total of 54 grams.
Step-by-step explanation:
I need help ASAP
How do I find the radius of a cone even if they don’t give the diameter
Who ever can answer this gets 30 points!!!
Answer:
dowload the link up the other one answer
Suppose the diameter at breast height (in.) of a certain type of tree is distributed normally with a mean of 8.8 and a standard deviation of 2.8.
(a)What is the probability that the diameter of a randomly selected tree will be at least 10 inches? Will exceed 10 inches.
(b) What is the value of c so that the interval (8.8-c, 8.8+c) contains 98% of all diameter values.
Answer:
a. 7% b. 1.4 inches
Step-by-step explanation:
(a)What is the probability that the diameter of a randomly selected tree will be at least 10 inches? Will exceed 10 inches.
Since our mean, x = 8.8 and standard deviation, σ = 2.8, and we want our maximum value to be 10 inches,
So, x + ε = 10 where ε = error between mean and maximum value
So,8.8 + ε = 10
ε = 10 - 8.8 = 1.2
Since σ = 2.8, ε/σ = 1.2/2.8 = 0.43
ε/σ × 100 % = 0.43 × 100 = 43%
Since 50% of our values are in the range x - 3σ to x and 43% of our values are in the range x to x + ε = x + 0.43σ, the probability of finding a value less than 10 inches is thus 50 % + 43% = 93%.
So, the probability of finding a value greater than 10 inches is thus 100 % - 93 % = 7 %.
(b) What is the value of c so that the interval (8.8-c, 8.8+c) contains 98% of all diameter values.
Since 98% of the values range from 8.8-c to 8.8+c, then half of the interval is from 8,8 - c to 8.8 or 8.8 to 8.8 + c. So, the number that range in this half interval is 98%/2 = 49%
So, c/σ × 100 % = 49%
c/σ = 0.49
c = 0.49σ = 0.49 × 2.8 = 1.372 ≅ 1.37 inches = 1.4 inches to 1 d.p
a cell phone plan costs $28.90 per month for 400 minutes of talk time. it costs an additional $0.07 per minute for each minute over 400 minutes. to get e-mail access, it costs 10% of the price for 400 minutes of talk time. your bill, which includes e-mail, is the same each month for 8 months. the total cost for all months is $298.56. write and solve an equation to find the number of minutes of talk time you use each month.
Answer:
Equation = 298.56=6(0.07m+23.90+0.10(23.90))
Minutes = 335
Step-by-step explanation:
Okay, so first simplify to get 298.56=0.52m+172.08
Next subtract to get 0.52m=126.48
Then divide 0.52 to get 335
I hope this helps ! :)
Which expression is equivalent to 3t - 5 + 8t + 3 ?
Answer:
11t -2
Step-by-step explanation:
3t - 5 + 8t + 3
Combine like terms
3t +8t- 5 + 3
11t -2
Start by changing the problem to 3t + -5 + 8t + 3.
Now combine like terms.
Combine like terms → your numbers
and your "t" terms.
So 3t + 8t is 11t and -5 + 3 is -2.
So the answer is 11t - 2.
can somebody help me
[tex](15f + 37f + 53 + 55)[/tex]
Answer:
(15f + 37f + 52 + 55) = ?
15f + 37f = 52f
52 + 55 = 107
So, (15f + 37f + 52 + 55) = 52f + 107.
Step-by-step explanation:
Hope that this helps! :)
Have a great rest of your day/night!
A size 8 kid's shoe measures 9 2/3 inches. If 5 size 8 shoes are lined end to end, then how many inches will they cover?
Answer:
its 77 1/3
just do the math with a calculator
Answer: 48 1/3
Step-by-step explanation:
An art gallery is increasing the asking price of its paintings by 60%. A painting now costs $400.00. How much was the painting before the increase??
Answer:
$240
Step-by-step explanation:
60% = 0.6
400 divided by 0.6 = 240
Need someones help on this!
If x=(y+2)^2 and y= -7 then what is the value of x
Answer:
25
Step-by-step explanation:
(y+2)^2=x
(-7+2)^2=x
(-5)^2=x
(-5)(-5)=x
25=x
Hope that helps :)
Answer:
x=25
Step-by-step explanation:
Plug it innnn plug it innnn
What is the area of this shape can someone please help
Answer 10x8=80+3
Step-by-step explanation:
i.d.k 83?????
What is the distance between A(7, 4) and B(2, −8)?
Answer:
The distance would 13 square units
Step-by-step explanation:
Well follow the formula
=√(2−1)^2+(2−1)^2
Plug in everything and solve, remeber to follow order of operations
please help meeeeeeeeee
Answer:
20% i believe
Step-by-step explanation:
i looked it up actually lol
Answer:
The percentage change is a 20% increase
Please answer the question in the picture
Answer:
Hey kid stop cheating XDDDDDDDDDDDDDDDDDDD
Step-by-step explanation:
Drag and drop all methods of showing Triangle Similarity or Triangle Congruence into the appropriate box. SAS, SSS, ASA, AAS, CPOCTAC, HL, AA
Similar Triangle Justifications Congruent Triangle Justifications
Answer:
hi
Step-by-step explanation:
by
I need help please with this assignment
Answer:
a) 10 yards and 10[tex]\sqrt{3}[/tex] yards
Step-by-step explanation:
The intersection of the support beams in the middle form four right angles, since all four sides are equal. Because you know two angles of the triangle on the right hand side (90° and 30°), you can calculate the third angle (given that a triangle has 180°):
180°-90°-30° = 60°
This is a 30-60-90 triangle (if you don't know what that is, you can look it up). In a 30-60-90 triangle, the hypotenuse is 2x. In this case, the hypotenuse is 10 yards, so you can set up an equation given that information:
2x = 10
x = 5
Now that you know x of the 30-60-90 triangle, you can solve for the other two sides of the triangle.
The side directly across from the 30° angle is just x, which is equal to 5. The side directly across from the 60° angle is x[tex]\sqrt{3}[/tex], which in this case would be 5[tex]\sqrt{3}[/tex].
Because you want the full length of both beams, you'd multiple both sides by two to get the length of both entire beams:
5*2 = 10
(5[tex]\sqrt{3}[/tex])*2 = 10[tex]\sqrt{3}[/tex]
*I hope this makes sense!*
1) Evaluate the following expressions.show your work
a) 7(m - 8) for m = -4
Answer:
-84
Step-by-step explanation:
Since m=-4, we can plug -4 into the expression and use PEMDAS
7(m - 8)
7((-4)-8)
7(-12)
-84
The base and the height of a triangle are multiplied by 5/4. Which of the following describes the
effect of this change on the perimeter?
Answer:
The option that describe the effect of the change is;
The perimeter is multiplied by 5/4Step-by-step explanation:
The parameters from the question are;
The (scale) factor by which the base and the height of the triangle are multiplied = 5/4
By the constant proportion of their sides, the triangle before and the triangle obtained after the multiplication are similar
Let 'a' and 'b' represent the length of the base and the height of the triangle respectively, we have;
The area of the triangle, A₁ = 1/2 × a × b = a·b/2
With the application of the scale factor of 5/4, we have;
The area of the scaled triangle, A₂ = 1/2 × (5/4) × a × (5/4) × b = (5/4)² × a·b/2
Therefore, the scale factor of the area = (5/4)²
The scale factor of the perimeter = √(The scale facto of area)
∴ The scale factor of the perimeter = √(5/4)² = (5/4)
The scale factor of the perimeter = (5/4)
Therefore, the perimeter of the scaled triangle is obtained by multiplying the perimeter of the initial triangle by (5/4).
Answer:
The perimeter is multiplied by 5/4.
Step-by-step explanation:
Find the volume of a cone with a base radius of 5 in. and a height of 12 in.
Answer:
V = 314
Step-by-step explanation:
Volume of a cone:
V = πr²(h/3)
Given:
r = 5
h = 12
Work:
V = πr²(h/3)
V = 3.14(5²)(12/3)
V = 3.14(25)(4)
V = 314
Answer:
The volume of the cone is 311.1in³.
Step-by-step explanation:
V = ⅓Bh where B = πr²
V = ⅓πr²h
V = ⅓(22/7)(5²)12
V = 0.33(3.142)(25)12
V = 311.1in³
Please help me with the question
90 degrees and right angle
The sweater was normally $50. It was on sale for $12 off. What was the percent of discount?
Answer:
The discount was 24%.
Step-by-step explanation:
24% of 50 is 12.
EQUAÇO
1. x + 5 - 25=x + 3x - 4
2. 1 - 2x = 3 - 2(x + 1)
help will mark brainliest also do u like my green screen?
Answer:
Cubes in each layer: 6
Number Of Layers: 5
Volume: 30
It takes me into 30 minutes to walk from home to school when walking at 5 km per hour What is her average cycling speed If it takes her 15 minutes by bike to travel the same distance
Answer:
10 km/h
Step-by-step explanation:
I'm not really sure about this but no ones answering your question and I wanna help.
So basically to calculate the average speed you need to divide the distance travelled by time taken
But you do not have the distance traveled. But it is mentioned that it takes u 30 minutes to walk from home to school when walking at 5 km/h so to find the distance all you have to do is... 30 x 5 = 150 km
Now that we have the time and distance all we have to do is find the average speed.
Average Speed = distance ÷ time
So 150 ÷ 15 = 10 km/h
pls help it due soon
Answers:
Level 1 Q:
[tex]5x+4x=90\\9x=90\\x=10[/tex]
Level 2 Q:
[tex]48+2x=90\\2x=42\\x=21[/tex]
Level 3 Q:
[tex]25+(x-18)=90\\x=83[/tex]
100 pts plz help!!!!!!1
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
Here,
The two lines l and m are parallel,
cut by a transversat line t
So The two angles are supplementary each other.
we know that,
The sum of two supplementary angles are 180°
According to the question,
(17x+14)°+(4x-2)°=180°17x+14°+4x-2°=180°17x+4x+14°-2°=180°21x+12°=180°21x=180°-12°21x=168°x=168°/21x=8°Therefore,
The value of x is 8°
Find the number of edges on this solid.
Enter
An edge is formed when two faces come together. The number of edges in the given solid is 18.
What is an edge?An edge is formed when two faces come together. A cube, for example, has 12 edges, a cylinder has two, and a spherical has none.
The number of edges in the given solid is 18.
Learn more about Edge:
https://brainly.com/question/2272331
#SPJ2
I’ll give the Brainliest to who answers these questions with reasonable explanations.
1. The manager of the soda shop decides that you’re a good customer, you may use a flavour as many times as you’d like. How many different possible mixtures can you make know (remember, you have 13 flavours available to you and you must choose 6)?
2. You realize that, despite what you expected, the soda actually tastes different depending on which flavour you choose first, second, etc. With this in mind, how many different sodas can you make?
Answer:
Answer
5.0/5
1
sana112704
Answer:
i think the answer is 10,296
Step-by-step explanation:
The first one is still 13C6
Review the definition of combina
Step-by-step explanation:
Answer:
what is the answer to part one ?
and the answer too part 2 ?
the answers down below wereńt clear enough .
Step-by-step explanation