3c(c+3)-4(c+3)=3c^2+9c-4c-12=3c^2+5c-12
The expression in complete factored form is (3c - 4)(c + 3)
What is a complete factored form expression ?A complete factored form is a form of expressing a complex polynomial expression as the products of factors of the polynomial. If we equate the complete factored expression with zero, we get the solutions of the polynomial expression.
Solving the given expression in complete factored form -The expression given is [tex]3c(c + 3) - 4(c + 3)[/tex]
Expanding the given expression [tex]3c^{2} + 9c - 4c - 12[/tex]
= [tex]3c^{2} + 5c - 12[/tex]
= [tex]3c^{2} + 9c - 4c - 12[/tex]
= [tex]3c(c + 3) - 4(c + 3)[/tex]
= [tex](3c - 4)(c + 3)[/tex]
Thus the expression in complete factored form is (3c - 4)(c + 3)
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Approximately how many liters are in 18 quarts
Answer:18 us liquid quarts =
17.034 liters
Step-by-step explanation:
1 us liquid quart =
0.946 liter
Multiply 0.946 *18 =17.034
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What is the correlation coefficient with the following data points: (15,36), (13,22), (12,6), (11,20)?
A.0.75
B.-0.75
C.0.65
D.-0.65
Answer:
A. 0.75
Step-by-step explanation:
The formula for the correlation coefficient r is
[tex]r =\frac {n \sum{xy} - \sum{x}\sum{y}}{\sqrt{[n \sum{x^{2}}- (\sum{x})^{2}}][n \sum{y^{2}}- (\sum{y})^{2}]}[/tex]
It's easier to use a statistical calculator, but this question probably expects you to do it by hand.
Let’s write a table for easy calculation.
x y xy x² y²
15 36 540 225 1296
13 22 286 169 484
12 6 72 144 36
11 20 220 121 400
51 84 1118 659 2216
(Σx)² = 2601
(Σy)² = 7056
[tex]r =\frac{4\times1118-51\times84}{\sqrt{[4\times659-2601][4\times2216-7056]}}[/tex]
[tex]r =\frac{4472-4284}{\sqrt{[2636-2601][8864-7056]}}[/tex]
[tex]r =\frac{188}{\sqrt{35\times1808}}[/tex]
[tex]r =\frac{188}{\sqrt{63280}}[/tex]
[tex]r =\frac{188}{251.6}[/tex]
r = 0.747
The graph below shows that there is a poor correlation among the points.
What is the axis of symmetry and vertex given the equation,
y=2x^2-12x+21
y = 2x² - 12x + 21 = 2(x² + 6x) + 21.
Using the complet the square method, you get:
2(x² + 6x) + 21 = 2(x² + 6x + 9) - 2*9 + 21 = 2(x + 3)² + 3.
So the axis of symmetry is: x = -3.
The vertex is: (-3, 3)
Answer: 2(x + 3)² + 3
Explanation: Axis of symmetry: x = -3 Vertex: (-3, 3)
At the beach, Malia measured the footprints of the people who passed by. The line plot displays the length of each footprint. What fraction of the footprints measure more than a foot?
A. 11/16
B. 5/8
C. 1/2
D. 9/16
Answer: Choice B) 5/8
================================================
Explanation:
There are 10 dots that represent a measurement larger than 1/2 a foot (either the dot is over 5/8 or 3/4 or 7/8). Call this value A, so A = 10.
There are 16 dots total. Call this B, so B = 16.
Divide A over B and then reduce: A/B = 10/16 = 5/8 so that is why the answer is choice B
Coincidentally, we end up with 5/8 but that is not the same as the "5/8" as shown on the chart. It just means that if we had 8 people, the 5 of them would have a foot size larger than half a foot.
Answer:
Step-by-step explanation:
You are a mechanic. You have been given an engine repair job that has a job time of 0.7 hour. About how many minutes should you allow for the job?
Answer:
42 minutes
Step-by-step explanation:
There are 60 minutes in an hour and we want to find 0.7 of that. Of means multiply so we multiply 60 by 0.7 and we get 42 minutes.
Final answer:
To convert the job time of 0.7 hours to minutes for the engine repair job, multiply it by 60, resulting in an approximate job time of 42 minutes.
Explanation:
You have been given an engine repair job that has a job time of 0.7 hour. To find out how many minutes you should allow for the job, convert hours to minutes. Since there are 60 minutes in one hour, you would perform the following calculation:
Multiply 0.7 (hours) by 60 (minutes per hour).
0.7 hour * 60 minutes/hour = 42 minutes
You should therefore allow for approximately 42 minutes to complete the engine repair job.
A car salesman has
5 used cars for sale. They have a mean price of $7000
. What is the total price of all 5
cars?
Step-by-step explanation:
We are given total number of cars = 5 cars.
The mean of all of five cars = $7000.
Note: Total sum/value could be calculated by multiplying mean with the total numbers we have.
Total price = Mean × Total number of cars.
According to problem, mean is 7000 and total number of cars is 5.
Therefore, Total price of all 5 cars = 7000 × 5 = $35000.The total price of all 5 cars is $35000, calculated by multiplying the mean price ($7000) by the number of cars (5).
Explanation:The subject of this question is Mathematics, specifically mean and total values. The mean price of the cars is given as $7000. The mean is calculated by dividing the total price by the number of items, in this case, cars. To find the total price, we therefore multiply the mean price by the number of cars. So, $7000 (mean price of each car) times 5 (total cars) equals $35000. Therefore, the total price of all 5 cars is $35000.
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a cable on a crane measures 89 yards feet how much total would be on 14 idenicial cranes convert you answer into larger units
Answer:
If you mean it's 89 feet, the answer is 415.3333 yards.
If you mean it's 89 yards, the answer is 1246 yards.
Step-by-step explanation:
Multiply 14 and 89 to get the distance of 14 identical cranes.
Since your question had two types of distance,
Feet: Divide by 3 since the conversion of feet to yards is 1/3.
Yards: Don't convert to a mile, as a mile is alot larger, and you will have a small answer.
Hope this helps.
The total length of cable on 14 identical cranes, each with a cable 89 yards long, would be approximately 0.71 miles.
Explanation:The question you're asking involves measurement conversion and multiplication. If each cable is 89 yards long, and one yard is equivalent to 3 feet, then we first need to convert the length of each cable into feet. Therefore, 89 yards equal to 89*3 = 267 feet. Thereafter, to determine the total length of cable that 14 identical cranes would have, we simply multiply 267 feet by 14, which gives us 3,738 feet.
Bigger unit for feet is in miles, and we know 1 mile is equal to 5,280 feet, so to convert the total feet to miles, you divide the total length in feet by the number of feet in a mile. Hence 3,738 divided by 5,280 equals approximately 0.71 miles.
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kim took a trip to china. upon leaving she decided to convert all of her yuan back into dollars. How many dollars did she receive if she exchanged 16 yuan at a rate of 8 yuan for $1
what’s the best answer
Answer:
x = 60°y = 60°Step-by-step explanation:
it looks like an isosceles triangle, but is an equilateral triangle, 3 equal sides and 3 equal angles, you have the value of 120°, and the interior angle is 60° (180 - 120 = 60°), this angle is equal to angle y.
y = 60*
the sum of the interior angles of a triangle is 180°
180 - 60 - 60 = 60°
x = 60°
Which linear inequality represents the solution set graphed?
A) 2y + 3x < 10
B) 2y + 3x > 10
C) 2y − 3x < 10
D) 2y − 3x > 10
Answer:
Its A.
Step-by-step explanation:
Because, I have the same question for my test online and the greater than sign with out the under marking is correct.
I will be happy for you to help me with this question
Answer:
Your y-intercept is 1 and your slope is 2
Step-by-step explanation:
How to find Slope
To find your slope you have to do the change of y over the change of x. So if you go to your table find how much each value of numbers is changing by. Your y-values are changing differently, but it is fine so to get to 5 from 3 you add 2 and to get to 9 from 5 you add 4. You do the same thing for the x-values are changing differently, but it is fine, so to get to -1 from -2 you add 1 and to get to 1 from -1 you add 2. Next you will take the two values that you get on the y side which are 2 and 4 and the x side which are 1 and 2 and put them in change of y over change of x. So 4/2 with equal 2 and 2/1 equal 2. So the slope is changing by 2.
What is the equation in point-slope form of the line that passes through the point (−1, −4) and has a slope of –3
Point-slope form:
y - y₁ = m(x - x₁) "m" is the slope
You know:
m = -3
(x₁ , y₁) = (-1, -4)
So you can plug this into the equation:
y - y₁ = m(x - x₁)
y - (-4) = -3(x - (-1)
y + 4 = -3(x + 1)
Determine the net force acting on the object (represented by the solid circle) in this diagram
A.100 N to the Right
B.200 N to the left
C.300 N to the left
D.400vN to the Right
Answer:
I think it is B
Step-by-step explanation:
plz help me Thx so much
Answer:
shipping and handling is 18.90 dollars
Step-by-step explanation:
percent means "per one hundred", so any percent can be written as a fraction over 100
30% = 30/100 = 0.30
Multiply 0.30 with the price 63 to get 0.30*63 = 18.90, which is the cost of shipping only. This result is added on top of the 63 dollars to get the total cost.
Answer:
18.90
Step-by-step explanation:
We need to figure out the cost of shipping and handling
shipping and handling = original price * percent
= 63* .3
=18.90
perform the indicated operation a-a^4/a^2+a+1
To simplify the given expression, subtract the terms in the numerator, and then simplify the terms in the denominator. Finally, divide the numerator by the denominator.
Explanation:To perform the indicated operation a-a^4/a^2+a+1, we need to simplify the expression using the order of operations. First, we simplify the terms in the numerator: a - a^4. Then, we simplify the terms in the denominator: a^2 + a + 1. Finally, we divide the simplified numerator by the simplified denominator to get the final answer.
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To perform the given operation, we need to follow the order of operations and simplify the exponents before performing the division, addition, and subtraction.
Explanation:To perform the indicated operation a - a^4 / a^2 + a + 1, we need to follow the order of operations, which is often remembered using the acronym PEMDAS. This stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Simplify the exponents: a^4 = a * a * a * a and a^2 = a * a.Perform the division: a^4 / a^2.Perform the addition: a^2 + a + 1.Perform the subtraction: a - (result of division) / (result of addition).Learn more about Order of Operations here:https://brainly.com/question/15840745
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12,192÷48 long division
Answer:
254
Hope this helps you!!! :)
can someone help me out?
V= 2i +9j Find ||9v||
Answer:
9[tex]\sqrt{85}[/tex]
Step-by-step explanation:
9v = 9(2i + 9j) = 18i + 81j
|9v | = [tex]\sqrt{18^2+81^2}[/tex] = [tex]\sqrt{x6885}[/tex] = 9[tex]\sqrt{85}[/tex]
Let x = 6.
What is the value of the expression 5x^2+x−7 ?
the 2 is a exponent. The ^ Symbol means an exponent 40points!
Put the value of x = 6 to the eqpression 5x² + x - 7:
5(6)² + 6 - 7 = 5(36) + 6 - 7 = 180 + 6 - 7 = 179
Answer: 179Carol has a small Copley of a painting. The dimensions of her copy are shown at the right. The scale of the copy is 0.5 inches: 12 centimeter.
Question A) Find the dimensions of the original painting.
Question B) Find the area of the original painting.
Question C) One centimeter is equal to approximately 0.033 foot. Find the dimensions of the original painting in feet. Round to the nearest thousandth.
Answer:
Question A: The dimensions of the original painting are 42 cm by 126 cm.
Question B: The area of the original painting is [tex]5292cm^2[/tex]
Question C: The dimensions of the painting in feet are 1.386 ft by 4.158 ft.
Step-by-step explanation:
Question A:
The scale of the copy is
0.5 inches:12 centimeter.
This means that 1 inch on the scale is 24 centimeters.
Therefore the width of the original painting is:
[tex]1.75*24cm=42cm[/tex]
and the height of is:
[tex]5.25*24cm=126cm[/tex]
Therefore the dimension of the original painting are 42 cm by 126 cm.
Question B;
The area of the original painting is just width multiplied by height:
[tex]Area=42cm*126cm=5292cm^2[/tex]
Question C:
We convert the dimensions of the painting from centimeters to feet:
[tex]width=42cm*0.033\frac{feet}{cm} =1.386\:feet.[/tex]
[tex]height=126cm*0.033\frac{feet}{cm} =4.158\:feet.[/tex]
Therefore the dimensions of the original painting in feet are 1.386 ft by 4.158 ft.
Answer:
(A) 42 cm by 126 cm.(B) 5,292 square centimeters.(C) 1.386 feet by 4.158 feetStep-by-step explanation:
The scale of the copy is 0.5 : 12, which means 0.5 inches of the copy represents 12 centimeters actual.
From the given scale we can deduct that 1 inch equals 24 centimeters.
So, the dimensions of the original are
[tex]1.75 \times 24 =42[/tex]
[tex]5.25 \times 24= 126[/tex]
Therefore, the original painting has dimensions 42 cm by 126 cm. (A)
Notice that the original painting is also rectangular, so its area is
[tex]A_{original}=42 \times 126 = 5,292 cm^{2}[/tex] (B)
Now, if 1 centimeter is equivalen to 0.033 foot, the dimensions of the original painting in feet are
[tex]42 \times 0.033 =1.386 ft\\126 \times 0.033=4.158 ft[/tex]
Therefore, the dimensions in feet are 1.386 feet by 4.158. (C)
Avery had $25.88 in her wallet. If she bought lunch with dollars from her wallet, how much money did she have in her wallet after lunch?
A. $14.38
B. $15.88
C. $15.38
D. $15.68
Answer:
B
Step-by-step explanation:
Solve the following equation for x.
(x-5)/ 2 = 6
Answer:
x = 17
Step-by-step explanation:
Answer:
Solve the following equation for x.
(x-5)/ 2 = 6 x=17
State the amplitude and period of f(x)= 3cos 9/5 (t)
Answer:
The period is [tex]\dfrac{10\pi}{9}[/tex] and the amplitude is 3.
Step-by-step explanation:
The period goes from one peak to the next (or from any point to the next matching point). The amplitude is the height from the center line to the peak.
The period of the function [tex]y=a\cos (bx)[/tex] is [tex]T=\dfrac{2\pi }{b}[/tex] and the amplitude is [tex]|a|.[/tex]
Consider the function [tex]f(t)=3\cos \left(\dfrac{9}{5}t\right).[/tex]
The period for the function [tex]f(t)[/tex] is
[tex]T=\dfrac{2\pi}{\frac{9}{5}}=\dfrac{2\pi}{1}\cdot \dfrac{5}{9}=\dfrac{10\pi}{9}[/tex]
and the amplitude is 3.
The amplitude of the function f(x) = 3cos(9/5 t) is 3, and the period is approximately 3.4907 units of time.
Explanation:The amplitude of the function f(x) = 3cos(9/5 t) is 3. This is because the amplitude A of a cosinusoidal function of the form x(t) = Acos(wt + φ) is the coefficient in front of the cosine, which describes the peak-to-peak swing of the wave.
The period T of the function can be found using the relationship between angular frequency w and the period T, which is T = 2π/w. Here, the angular frequency w is 9/5. Thus, the period T is 2π × (5/9), which simplifies to approximately 3.4907 units of time.
A bar of soap weighs 3.8 ounces.The ingredient glycerin makes up 0.4 of the weigh of the soap.What is the weigh of the glycerin in the bar of soap
Answer:
Step-by-step explanation:
.4/3.8= 10.52/100
the amount of glycerin in the bar of soap is 10.5263158
Answer:
1.52 oz
Step-by-step explanation:
The glycerin makes up 4/10 of the weight of the soap. Since the soap weighs 3.8 oz. then the glycerin makes up
4/10 * 3.8 = 1.52 oz
What property is d • e • 0 = 0
Answer:
Zero Product Property
Step-by-step explanation:
The zero product property states that anything multiplied by 0 is 0.
What is a real world problem for 2(n+20)=110
To solve the algebraic equation '2(n+20)=110', we first divide by 2, yielding 'n+20=55', and then subtract 20 to find 'n=35'. A real-world example could be calculating an initial inventory of items before doubling and adding 20 to reach a target inventory.
Explanation:The student's question, 'What is a real world problem for 2(n+20)=110?' can be seen as a basic algebra question. To solve for n, we start by dividing both sides of the equation by 2, giving us n+20 = 55. Then we subtract 20 from both sides, which leaves us with n = 35.
A real-world interpretation of this equation could be a scenario where someone has twice the number of objects plus an additional 20 objects, and they want to end up with 110 objects in total. To find out the original number of objects, they would perform the calculations above. In this case, the real-world problem could involve an initial inventory of 35 items that needs to be doubled and then 20 more added to achieve a target inventory of 110 items.
Help please! I don't understand
Need help with the top part and please explain
Answer:
Hope this helps!
Step-by-step explanation:
y=6x+4 is linear but not proportional because it doesn't have any exponents causing it to be Linear ....it is not proportional because it is not in y=mx form
y=8x is linear and proportional because it is in y=mx form and doesn't have any exponents
y=x-3 is linear and not proportional because it is not in y=mx form it is not proportional ..... it is linear because it has no exponents
y=9x^2+1 is not linear and is not proportional....it is not linear because it has an exponent and not proportional because it is not in y=mx form
help please guys I need help with this question I'm stuck
Answer:
5:3 AND 10:6
Step-by-step explanation:
_________________[tex]Hope this helps! <3[/tex]_____________________________
what is 265 times 14.? Explain what you did.
Answer:
3710
Step-by-step explanation:
265 * 14
multiply 4 by 5, then 4 by 6, then 4 by 2 which would look like this 860
then you multiply 1 by 5, then 1 by 6, then 1 by 2 which should loo like 2650
it looks like that because for every digit you multiply by except the first you add a zero in front of it. then you add those two up which adds up to 3710 you're welcome. :}
Answer:
3,710
Step-by-step explanation:
First, write it in a multiplication form. (staking on top of each other)
First Step: Multiply the 5 and the 4 in the one's column. 20. So regroup the 2 and place the zero under the 4. Then you multiply the 5 and the one. 5. Also ad what you regrouped it to be. 7. Place that number under the 1 in 14.
Second Step: Add a zero in the ones place. Then multiply the 5 and the 1. 5. Then you multiply the 6 and the 1. 6. Then lastly multiply the 2 and the one.
Third Step: Now add the two numbers to multiplied together to get your final answer.
Have a Nice Winter Break!
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Pls mark the other person as brainliest!