Answer:
\(8x^2 + 18x + 36\)
Step-by-step explanation:
I did it on paper.
Answer:
A.) 8x^2 + 18x + 36
Step-by-step explanation:
Use these steps to see how exactly I arrived at my answer!
\(=8x^3+2x^2-72\\=2\cdot \:4x^3+2x^2-2\cdot \:36\\=2\left(4x^3+x^2-36\right)\\\)
\(=4x^3+x^2-36\\=\left(x-2\right)\frac{4x^3+x^2-36}{x-2}\\=4x^2+\frac{9x^2-36}{x-2}\\=4x^2+9x+\frac{18x-36}{x-2}\\=4x^2+9x+18\)
\(=2\left(x-2\right)\left(4x^2+9x+18\right)\\=\frac{2\left(x-2\right)\left(4x^2+9x+18\right)}{x-2}\)
Between these steps, I canceled out a common factor!
\(=2\left(4x^2+9x+18\right)\\= 8x^2+18x+36\)
What is the product of 960 and 1.0 x 106 expressed in scientific notation?
The product of 960 and 1.0 x 106 expressed in scientific notation is 9.6 x 10^8.
The product of 960 and 1.0 x 10⁶ expressed in scientific notation is 9.6 x 10⁸.
To express the product of 960 and 1.0 x 10⁶ in scientific notation, we first perform the multiplication:
960 x 1.0 x 10⁶
= 960 x 10⁶
= 960,000,000
Since the result is greater than 1, but less than 10, we need to express it as a number between 1 and 10 multiplied by a power of 10.
In this case, we can express 960,000,000 as 9.6 x 10⁸.
Therefore, the product of 960 and 1.0 x 10⁶ expressed in scientific notation is 9.6 x 10⁸.
This notation represents a number that is 9.6 times 10 raised to the power of 8. It is a compact and convenient way to represent large numbers, especially in scientific and engineering contexts, where large quantities are common.
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Order the integers from greatest to least 25 -34 -2 55 8 -7
Answer:
55, 25, 8, -2, -7, -34
Step-by-step explanation:
Prove: segment SD = segment PD
I think the answer is between C and D, which is the right one showing the triangle is ASA??
Answer:
C
Step-by-step explanation:
SD is congruent to PD and both triangles share the same side with each other.
ten different people walk into a delicatessen to buy a sandwich. four always order tuna fish, two always order chicken, two always order roast beef, and two order any of the three types of sandwich. (a) (5 points) how many different sequences of sandwiches are possible? (b) (5 points) how many different (unordered) collections of sandwiches are possible?
(a) There are 81 different sequences of sandwiches are possible
(b) The total number of different (unordered) collections of sandwiches is 3.
First, we need to determine the number of ways the four tuna fish sandwiches can be ordered. Since all four sandwiches are the same, there is only one way to order them. Similarly, there is only one way to order the two chicken sandwiches and the two roast beef sandwiches. For the two people who can choose any sandwich, there are three options for each person, giving a total of 3 x 3 = 9 possible sandwich combinations.
Therefore, the total number of different sequences of sandwiches is:
1 (tuna fish) x 1 (chicken) x 1 (roast beef) x 9 (any sandwich) x 9 (any sandwich) = 81
For part (b), we need to determine the number of different (unordered) collections of sandwiches. We can use combinations to solve this problem. We need to select 10 sandwiches from the total of 10 sandwiches available. Since there are four tuna fish sandwiches, we need to select four of them.
Similarly, we need to select two chicken sandwiches and two roast beef sandwiches. Finally, we need to select two more sandwiches from the remaining three (since two people can choose any sandwich). The number of ways to select these sandwiches is:
combination(4,4) x combination(2,2) x combination(2,2) x combination(3,2) = 3
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In Quadrilateral ABCD , AB¯¯¯¯¯∥CD¯¯¯¯¯ and m∠2=31°. What is m∠5? Enter your answer in the box. ° Trapezoid A B C D with segment B D. Angle A D B is angle 1. Angle B D C is angle 2. Angle C is angle 3. Angle A is angle 4. Angle A B D is angle 5. Angle C B D is angle 6.
The measure of m∠5 is 31 degrees.
What are alternate angles?
Alternate angles are angles that occur on opposite sides of the transversal line and have the same size. Alternate angles are equal
Given that,
The AB is perpendicular to CD.
And, the m∠2=31°.
Based on the above information, the following information should be considered:
The alternate angles should be equal i.e. ∠2 = ∠5 and ∠1 and ∠6.
So, ∠5 = ∠2 = 31 degrees.
Therefore we can conclude that the measure of m∠5 is 31 degrees.
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What’s a converse in mathematics
Answer:
A converse is the result of reversing its two constituent statements.
Example, P-Q. Converse would be Q-P
help me out??????? :)
Answer:
i think it might be c but im not sure
Jenny is making jewelry craft kits. She purchases 3 bags of each color band. She divides the total number of bands equally into 4 kits. How many bands are in each kit?
Answer:
12
Step-by-step explanation:
Given:
3 bags of each color band
4 kits
To "divide equally" we need the greatest number that divides the two numbers 3 and 4 equally.
Find the greatest common factor of 3 and 4:
factors of 3 = 1,3,6,9,12,15,18,21,24....
factors of 4 = 1,2,4,8,12,16,20,24...
How many bands are in each kit?
12 or any other number that is a factor of both 3 and 4 such as 24,..etc.
Anthony worked to earn $25.00. Joyce worked for $8.00 per hour. If Anthony earns $5.00 per hour, how many hours did he work?
Answer:
Anthony worked to earn $25.00. Joyce worked for $8.00 per hour. If Anthony earns $5.00 per hour, how many hours did he work?
for 5 hours they work
What is 10000 - 82583 + 81627 X 2
Answer:
90,671
Step-by-step explanation:
10,000- 82,583+ (81,627 x 2)
Answer:
-235,837
Step-by-step explanation:
Given :
10000-82583+81627×2
Now,
10000-82583+163254
10000-245837
-235,837
Answer will be -235,837
How many solutions does 5(3x+2)-2=4(4x-3) have ?
Answer:
One Solution
Step-by-step explanation:
5(3x+2)-2=4(4x-3)
15x + 10 - 2 = 16x - 12
15x + 8 = 16x - 12
15x = 16x - 20
-x = -20
x = 20
solve for y. help anyone ?
Answer:
y=8
Step-by-step explanation:
\( \cos(60) = \frac{4}{y} \\ y = \frac{4}{ \cos(60) } = 8\)
Answer:
cos x=adj/hype
cos 60=4/y
y=4/cos 60
y=8
the answer is option B
Rotate figure 180 degrees clock wise about point (-2,3)
On a test that has a normal distribution, a score of 54 falls two standard deviations
above the mean, and a score of 42 falls one standard deviation below the mean.
Determine the mean of this test.
Let μ be the mean of the distribution and let σ be its standard deviation.
We know that 54 falls two standard deviations above the mean, this can be express as:
\(\mu+2\sigma=54\)We also know that 42 falls one standard deviation below the mean, this can be express as:
\(\mu-\sigma=42\)Hence, we have the system of equations:
\(\begin{gathered} \mu+2\sigma=54 \\ \mu-\sigma=42 \end{gathered}\)To find the mean we solve the second equation for the standard deviation:
\(\sigma=\mu-42\)Now we plug this value in the first equation:
\(\begin{gathered} \mu+2(\mu-42)=54 \\ \mu+2\mu-84=54 \\ 3\mu=138 \\ \mu=\frac{138}{3} \\ \mu=46 \end{gathered}\)Therefore, the mean of the distribution is 46
1 point
What are the two ways to show that a triangle is a right triangle?
What is an equation in point-slope form of the line that
passes through (-3, -1) and has a slope of 2
Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
\(y - y_1 = m(x - x_1) \)
where
m is the slope
( x1 , y1) is the point
From the question the point is (-3, -1) and slope 2
The equation is
\(y + 1 = 2(x + 3) \)Hope this helps you
help me someone smart
Answer:
18: b. y= -x+6
19: c. y-3=2(x-3)
Step-by-step explanation:
i hope this helps :)
A fish can swim up to 40 miles per hour. What is this speed in feet
(1 mile = 5,280 feet)
per hour?
Answer:
one mile is 5280 feet
40 x 5280 = 211,200 feet per hour
pretty sure im right
It costs Ruth $12.50 a week to wash and dry her clothes at the laundromat. If a
washer and dryer cost a total of $940, how many weeks will it take for Ruth's laundry
cost to equal the cost of the washer and dryer?
Answer: 75.2 per week
Step-by-step explanation:
A 76 weeks for Ruth's laundry cost to equal the cost of the washer and dryer.
To find out how many weeks it for Ruth's laundry cost to equal the cost of the washer and dryer, to set up an equation.
Let's assume it takes "x" weeks for Ruth's laundry cost to equal the cost of the washer and dryer.
In one week, Ruth's laundry cost is $12.50. Therefore, in "x" weeks, her total laundry cost would be 12.50 × x.
The cost of the washer and dryer is $940.
Now set up the equation:
12.50 × x = 940
To solve for "x," divide both sides of the equation by 12.50:
x = 940 / 12.50
x = 75.2
Therefore, it will take approximately 75.2 weeks for Ruth's laundry cost to equal the cost of the washer and dryer. Since the number of weeks cannot be fractional, round up the answer to the nearest whole number.
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A boat can travel 120 kilometers on 60 liters of gas. How far can it travel on 197 liters
Answer:
394 km
Step-by-step explanation:
197 is 197/60 times as much as 60
so the distance is also that much more: 120 km * 197/60 = 394
convert grams per cubic centimeter to kilograms per cubic meter
Grams per cubic centimeter to kilograms per cubic meter is 1000.
1 g/cm³ = 1000 kg/m³
The conversion value:
1 gram = 1/1000 kg
1 cm³ = 1/1000000 m³
Find the conversion from grams per cubic centimeter to kilograms per cubic meter!
Grams per cubic centimeter = g/cm³
Kilograms per cubic meter = kg/m³
Multiply the number with the each conversion value!
See that the cubic centimeter is as a denominator. So, we reverse the fractional value.
1 g/cm³
= 1 × 1/1000 × 1000000/1 kg/m³
= 1000 kg/m³
Hence, the conversion value from grams per cubic centimeter to kilograms per cubic meter is 1000.
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Solve x2 + 8x + 8 = 0 by completing the square. Which equation is used in the process?
-7x-3x=-20 help me please :)
What is the probability that either event will occur?
Now, find the probability of event A and event B.
A
B
6
6
20
20
P(A and B) = [?]
The probability of event A and event B is 6.
Given that, P(A)=6, P(B)=20 and P(A∩B)=6.
P(A/B) Formula is given as, P(A/B) = P(A∩B) / P(B), where, P(A) is probability of event A happening, P(B) is the probability of event B.
P(A/B) = P(A∩B) / P(B) = 6/20 = 3/10
We know that, P(A and B)=P(A/B)×P(B)
= 3/10 × 20
= 3×2
= 6
Therefore, the probability of event A and event B is 6.
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4.
In parallelogram ABCD, what is the relationship between angle a° and angle c°?
a° = c°
a° – c° = 180°
a° + c = 180°
a° = -c°
Answer:
a° = c°
Step-by-step explanation:
parallelogram's opposite angles are equal
mathworldwolfram
Why is the lac curve called the envelope curve?
The lac curve, also known as the envelope curve, is a curve that shows the maximum amount of work that can be done in a given period of time.
It is defined by the equation: W = min {W1 + W2, W3, W4, ..., Wn}, where W1, W2, W3, W4, ..., and Wn are the individual work tasks. The envelope curve is called such because it forms an envelope that encompasses all of the individual tasks on the graph, visually representing the maximum amount of work that can be done within the given timeline. This curve can be used to assess the efficiency of a task or project, as well as to analyze the impact of changes in the workload, deadlines, and resources.
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Determine if the following statement is true or false. Alex calculated a correlation coefficient of -1.5. He made a mistake in his calculation since the correlation coefficient has to be between - 1 and 1. The statement is
(1) false
(2) true.
Answer:
(2) The statement is true.
-1 < r < 1
Simplify (5.1)(5.12)4.
(5.1)6
(5.1)7
(5.1)8
(5.1)9
The simplified expression of (5.1)(5.1^2)^4 is (5.1)^9
How to simplify the expression?The expression is given as:
(5.1)(5.12)4
Rewrite the expression properly as follows:
(5.1)(5.1^2)^4
Rewrite the expression properly as follows:
(5.1)(5.1^2)^4 = (5.1) * (5.1^2)^4
Apply the power law of indices
(5.1)(5.1^2)^4 = (5.1) * (5.1^8)
Apply the power law of indices
(5.1)(5.1^2)^4 = (5.1)^(1 + 8)
Evaluate the sum
(5.1)(5.1^2)^4 = (5.1)^9
Hence, the simplified expression of (5.1)(5.1^2)^4 is (5.1)^9
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Emika has a monthly budget for her cell phone bill.
Last month she spent 120% of her budget, and the bill
was $60.
What is Emika's monthly budget?
Emika's monthly budget is $60.
A percentage can be described as the fraction of a number multiplied by 100. The sign used to represent percentages is %.
Let Emika's cell phone bill budget be represented with x.
In order to determine his monthly budget, divide $60 by 120%
x = $60 / 120%
x = $60 / 1.20
x = $50
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A function has cheating x's.
True
False