c² + 9 + 6c is the solution by distributive property .
What in mathematics is a distributive property?
This characteristic states that multiplying the total of two or more addends by a number will produce the same result as multiplying each addend separately by the number and then combining the products collectively.
When you multiply one value by another, you are using the distributive property of multiplication over addition. When multiplying 5 by the sum of 10 plus 3, for instance, add 3. We typically add the numbers first, then multiply the result by 5, since the terms are similar. However, in accordance with the property, you can first multiply each addend by 5.
= (c+3)^2
= c² + 9 + 2 * c * 3
= c² + 9 + 6c
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Use the diagram below to find m<1, m<2, and m<3
Note that the measurements of (angles) ∠1, ∠2, and ∠3 are:
107°73°; and 107° respectively.The above is resolved using Angle relationships with parallel lines, specifically, co-interior angles.
What are co-interior angles?Note that co-interior angles are always supplementary and add together to make 180°.
Note that in the case above, 73° and ∠3 are supplementary and therefore co-interior.
This means that:
73 + ∠3 = 180
∠3 = 180 -73
∠3 = 107
Note that the above logic also applies to: ∠1
∠1 = 180 - 73
∠1 = 107°
Since ∠1 and ∠2 are also co-interior angles:
∠2 = 180 - 107
thus,
∠2 = 73°
Thus, it is corect to state that the measurements of (angles) ∠1, ∠2, and ∠3 are:
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after buying a total of 5 skeins of yarn how many hats can greta knit in all?
The number of skeins of yarn is in the x-axis, and the number of hats is in the y-axis.
If Greta bought 5 skeins of yarn, let's find the value x = 5 in the graph.
Then, looking for the corresponding value of y in the line, we have y = 6.
This means Greta can knit a total of 6 hats using the 5 skeins of yarn she bought.
what time will it be 5 hours 30 minutes after 11:15 p.m.??
Answer:
5:45 am
Step-by-step explanation:
Answer:
4:45
Step-by-step explanation:
you add from the amount of hours it comes
Ahmad took a test with 50 items. He
answered 44 of the items correctly.
What percent of the test items did he
answer correctly?
Answer:
88%
Step-by-step explanation:
The fraction of correct answers is 44/50. To convert a fraction to a percentage, multiply by 100%.
44/50 × 100% = 88%
Ahmad answered 88% of the items correctly.
2x+7 the 7 is a what
What do you mean exactly
A company selling products online held a survey asking a group of people about the number of products they ordered online in a month. The table below shows the results of the survey.
Products Ordered
Number of Products Number of People
0 4
1 6
2 3
3 4
4 5
Number of Products Number of People
5 3
6 3
7 2
8 2
9 1
Which dot plot best displays the data in the table?
Answer:
wed need to see an attatchment of the dot displays to give you an answer friend
Please help me out please
Answer:
1. y= x- 15
2. 20
Step-by-step explanation:
Please help I have another question with the same criteria
X|1 2 3 4 5 6
Y|9 13 25 27 31 46
A game of Blackjack or “21” is played with a regular deck of cards. The aim of the game is to have cards that add up to 21. The cards are not replaced to the deck once they have been drawn. If you draw two cards in a row, what is the probability of getting 21, when first card you get is an ace and the second card is a queen?
The probability of getting 21, when first card is an ace and the second card is a queen = 0.024133.
The term blackjack means that you get a value of 21 with only two cards.
Number of cards in a deck of cards = 52
There are 4 types of cards in a deck of cards - spades, clubs, hearts, and diamonds, out of which spades and clubs are black in colour.
Given that first card is Ace and second one is a Queen.
Odds of getting an Ace are 4/52, odds of the next being Queen is 16/51.
P(blackjack)=4×16/(52/2).
where P is used for probability .
Probability: Probability is simply how likely something is to happen. Whenever we are unsure about the outcome of an event, we can talk about the probabilities of certain outcomes. The analysis of events governed by probability is called statistics.
Probability of getting an ace followed by a queen card: 4/52 * 16/51 = 0.024133.
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Graph the composite function g(f(x))
Answer: f
Step-by-step explanation:
The domain of a composite function f(g(x)) is the set of those inputs x in the domain of g for which g(x) is in the domain of .
A solid figure is separated into 2 rectangular prisms. The volume of rectangular prism A is 75 cubic yards. Rectangular prism
B has a length of 7 yards and a width of 3 yards. The total volume of the solid figure is 180 cubic yards. What is the height of
rectangular prism B?
The height of rectangular prism B is 5 yards.
Let's first find the volume of rectangular prism B:
The volume of the solid figure = Volume of prism A + Volume of prism B
180 = 75 + length × width × height of prism B
105 = length × width × height of prism B
We know that the length of prism B is 7 yards and the width is 3 yards,
Substitute those values:
105 = 7 × 3 × height of prism B
105 = 21 × height of prism B
height of prism B = 105/21
height of prism B = 5
Therefore, the height of rectangular prism B is 5 yards.
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VERB TENSE!!
PLEASE HELP
For each of the following sentences, identify whether the verb tenses are helping convey time, sequence, condition, or state.
1. We walk through the forest in search of tree kangaroos.
2. We flew to Papua New Guinea and will drive to the camp.
3. The men had to capture the animal before examining it.
5. I will be delighted to be done with this project.
Answer:
1 verb:walk present tence
2 verb:flew past tence
3 verb:had past tence I think
4 verb:will future tence
i do not know the answer to this
Answer:
b
Step-by-step explanation:
b
which expression is equivalent to -3x(2x-8)+4x
Answer:
2x ( -3x + 14)
Step-by-step explanation:
What is Distribution Property?
Distribution property is used in a format like a ( b + c ). To simplify these kinds of expressions, we multiply the outside term by each of the inside terms. So in this instance, a ( b + c ) is equal to ab + ac.
Let's put this in the expression3x ( 2x - 8 ) + 4x
Let's use what we learned above, and multiply the outside term (-3x) by each of the inside terms.
-3x · 2x + (-3x) · (-8) +4x
Simplify by multiplication:
-6x² + 24x +4x
Finally, we add:
-6x² +28x
Now, to simplify further, we can look for terms that show up in numbers.
We can see that the variable x is present in each of the terms, so we can factor that out, removing it from the term as follows:
x ( -6x + 28)
We can look and see that 2 is also a common factor between the two terms, so we can take that out too.
2x ( -3x + 14)
This is the most simplified it can get.
Natalie's team needs to make a decision on how to handle a big product recall. People on the team have a lot of strong opinions. Management wants everyone to come to a consensus and to find a solution that everyone can support. What's the best way to get to a consensus? a) Everyone on the team talks until the entire team agrees on one decision. O b) Everyone on the team discusses options and then votes. O c) The team passes the decision-making responsibility to an outside person. O di The team leader makes a decision without input from the other members.
Answer:
esta padre tu pregunta si que bueno
What is the cost of 0.85 pound of imported cheese at $7.90 per pound
the cost of 0.85 pound of imported cheese at $7.90 per pound is $6.72.
Why it as and what is pound?
To calculate the cost of 0.85 pound of imported cheese at $7.90 per pound, we can use the following formula:
Cost = (Weight in pounds) x (Price per pound)
Substituting the given values, we get:
Cost = 0.85 x $7.90
Cost = $6.72
Therefore, the cost of 0.85 pound of imported cheese at $7.90 per pound is $6.72.
Pound (lb) is a unit of weight or mass used in the United States and some other countries. It is equivalent to 16 ounces or approximately 0.45 kilograms. The symbol for pound is "lb" and it is commonly used to measure the weight of objects and ingredients in cooking and baking.
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cost per pound ($) ingredient beginning ending quantity (pounds) per 100 pounds of product a 2.50 3.95 25 b 8.75 9.90 15 c 0.99 0.95 50
The relative price of ingredient A is 158, ingredient B is 131.1 and ingredient C is 96.
In the given question we have to compute the price relatives for the three ingredients A, B and C.
Now finding the relative price using the formula.
Relative Price(RP) = Ending Cost(E)/Beginning Cost(B) *100
Now from the given table;
Ingredient Beginning(B) Ending(E) E/B E/B*100
A 2.50 3.95 1.58 158
B 8.75 9.90 1.131 131.1
C 0.99 0.95 0.96 96
Hence, the relative price of ingredient A is 158, ingredient B is 131.1 and ingredient C is 96.
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The right question is
A chemical company produces a special industrial chemical that is a blend of three chemical ingredients. The beginning-year cost per pound, the ending-year cost per pound, and the blend proportions follow. (Round your answers to the nearest integer.)
Cost per Pound ($)
Ingredient Beginning Ending Quantity (pounds) per 100
Pounds of Product
A 2.50 3.95 25
B 8.75 9.90 15
C 0.99 0.95 70
Compute the price relatives for the three ingredients.
Item Price Relative
A
B
C
Find the quotient and remainder: (6x3 + 4x2 - 15x - 14) ÷ (3x + 2).
The quotient is 2x^2-5 and remainder is -4
The necessary steps are:
p(x)= 6x^3 + 4x^2 - 15x−14
∴ degree of p(x) is 3.
g(x)=3x+2
∴ degree of g(x) is 1.
∴ degree of quotient q(x)=3−1=2,
and degree of remainder r(x) is zero.
Let, q(x)=ax2+bx+c (Polynomial of degree 2) and r(x)=k (constant polynomial)
By using division algorithm, we have
p(x)=[g(x)×q(x)+r(x)]
=6x^3 + 4x^2 -15x−14 = (3x+2)(ax2 + bx +c)+k
=3ax^3 + 3bx^2 + 3cx + 2ax^2 +2bx+2c+k
∴6x^3 + 4x^2 - 15^x - 14 = 3ax^3 + (3b+2a)x^2 + (3c+2b)x + 2c+k
We have cubic polynomials on both the sides of the equation.
∴ Let us compare the coefficients of x^3, x^2 ,x and k to get the values of a,b,c.
6=a, it is the coefficient of x^3 on both sides
4=3b+2a, it is the coefficient of x^2 on both sides
-15=3c+2b, it is the coefficient of x on both sides
−14=2c+k, it is the constant term on both sides
∴ the quotient is 2x^2 - 5 and the remainder is -4.
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find each unknown. Double a known fact.
9 x 4=
Answer: 36
Step-by-step explanation:
INEQUALITIESTranslation: A minimum number of 17Translation: A minimum number that is at least 90
The first statement is "A minimum number of 17". This can be expressed as
\(x<17\)The second statement is "A minimum number that is at least 90". This can be expressed as
\(x\ge90\).......... do it now? Can't I do it later?
a) I've to
b) Have I
c) Do I have to
d) Should I
Answer:
d
Step-by-step explanation:
You are asking a question trying to suggest whether it can be done later
How many sixteenths are there in 3/8 ?
Answer:
6 sixteenths 6/16
Step-by-step explanation:
8 x 2 = 16
3 x 2 = 6
1.
.? ESSENTIAL QUESTION
How are the
midpoint and length of a segment on the
coordinate plane determined?
Answer:
to find midpoint add both"X" coordinates and divide by 2
also add "Y" coordinates and divide by 2
then for line of segment use distance formula which is D=√[(x2-x1)²+(y2-y1)²]
Midpoint is the average of x and y coordinates of the endpoint while the length of a line segment is given by the formula \(d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }\).
What is a line segment?A line section that can connect two places is referred to as a segment.
In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.
The line is here! It extends endlessly in both directions and has no beginning or conclusion.
To determine the midpoint of two coordinates (x₁,y₁) and (x₂,y₂ )
Midpoint = [ (x₁ + x₂)/2 + (y₁ + y₂)/2 ]
The distance between two points (x₁,y₁) and (x₂,y₂ )
\(d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }\)
Hence "Midpoint is the average of x and y coordinates of the endpoint while the length of a line segment is given by the formula \(d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }\)".
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4. Paolo is filling a cylindrical water bottle. Unfortunately it is too big to fit in the sink he is filling up at so he has to use cone cups to fill up the bigger water bottle. The cone cups have a radius of 1 in, and a height of 3 in. how many cone cups would it take to fill the cylindrical water bottle?
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, we need to be given the dimensions of the big cylindrical water bottle. Let us assume, that the big bottles has a dimension of radius 3 in and height 5 in.
Solution:
Firstly, we need to find the volume of the big cylindrical bottle, then we find the volume of the small cone.
Volume of the cylindrical bottle = πr²h = π(3²)5 = 45π in³
Volume of the small cone = πr²h/3 = π(1²)(3/3) = π in³
Therefore the number if cups required to fill the water bottle is the ratio of the volume of the cylinder to the volume of the small cone. Hence:
number of cone cups = 45π in³ / π in³ = 45 cups
Hence 45 cups of the cone would be needed to fill the cylindrical bottle
PLZ help
solve for x
Answer:
1. x = 1
2. x = 13
3. x = 10
4. x = 1
5. x = 2
6. x = 22
7. x = 3
8. x = -6
9. x = -6
Step-by-step explanation:
Select ALL of the solutions of the following system of linear inequalities below.
The solutions of the system of inequalities are:
(0, 3)
(6, 2)
How to find the solutions of the system?Here we have the graph of a system of inequalities, the solutions are all the points on the area where the two shaded regions intercept (it would be on the purple area).
And we can see that one line is solid, the points on that line are solutions, the other line is dashed, the points on that line are not solutions.
Then the points that are solutions are:
(0, 3)
(6, 2)
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19. Describe the graph of a proportional relationship.
The graph of a proportional relationship can be described as a graph that always starts at point zero and is always a straight line graph.
What is a straight line graph?A straight line graph is defined as the type of graph that is also called a linear graph which shows a relationship between two or more quantities that uses a graphical form of representation.
There are some characteristics that shows that a graph is of proportional relationship which include the following:
The graph always starts from zeroThe graph must be a straight line graphLearn more about graph here:
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The width of a rectangle measures
(7h+3) centimeters, and its length measures
(8h−4) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
The expression that represents the perimeter of the rectangle is 30h - 2
How to determine the perimeter expression?The dimensions of the rectangle are given as:
Length = 7h + 3
Width = 8h - 4
The perimeter of the rectangle is given as:
P = 2 * (Length + Width)
Substitute the known values in the above equation
P =2 * (7h + 3 + 8h - 4)
Evaluate the like terms
P = 2 * (15h - 1)
Evaluate the product
P = 30h - 2
Hence, the expression that represents the perimeter of the rectangle is 30h - 2
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Help how do you simplify this????!!!
Answer:
3/5
Step-by-step explanation: its on the page the yellow text you add the top numbers but the bottem number stays the same
. Which equation is linear? y=xy 3 y=-y OOO y=x2-4 3x+4y=24