Answer:
The factored expression is: \(2x(x + 3)\)
Step-by-step explanation:
We are given the following expression:
\(2x^2 + 6x\)
To factorize it as fully as possible, we first find the GCF between the numeric values, and the coefficients:
Numeric:
GCF between 2 and 6 is 2, because:
2 - 6| 2
1 - 3|
1 and 3 are not divisible by the same number, so 2.
Coefficient:
Between x² and x, x.
Factorizing:
Simplifying by 2x.
\(2x(\frac{2x^2}{2x}+\frac{6x}{2x}) = 2x(x + 3)\)
The factored expression is: \(2x(x + 3)\)
please please please help (giving brainliest to first to answer correctly)
Answer:
The tank can store 105 cubic feet of milk, whick is approximately 6982.5LB of milk.
Step-by-step explanation:
Firs you take the with and divide it by the ammount of parts it is to the side you want and multiply that by the denominater.
To find the length you divide 3.5 by 5 then multiply it by 7 and you will get 4.9.
To find the height you divide 3.5 by 4 and multiply that by 7 and you get 6.125.
Multiply the length by with by height and you will get the volume of the tank which is approximately 105 cubic feet. Once you do that you can multiply be the weight of the milk per cubic foot and you will get the waight of the milk inside the tank which is 6982.5LB.
A dinner bill for jeff came out $21.00.Jeff paid a total of $24.00 including tip.How big of a tip did jeff leave,as a percentage of the original bill?
Fill in the blank with a percent .Round your percent to whole numbers like 11%
Jeff left a tip of %
A company produces two products: A and B. The relative market values at the split-off point are not available. For every $300,000 of joint costs, Product A produces 10,000 pounds, and Product B produces 40,000 pounds. The amount of joint costs allocated to Product B using the physical quantities method is $
The joint costs allocated to Product B is $240,000.
What is amount of joint costs allocated to Product B?We must allocate joint costs based on the relative physical quantities produced by each product.
The total physical quantity produced by both products is:
= Quantity of A + Quantity of B
= 10,000 + 40,000
= 50,000 pounds
We will calculate the proportion of physical quantity produced by product A:
= Quantity of B / Total physical quantity
= 40,000 / 50,000
= 0.8
The amount of joint costs allocated to Product B is will be
= Total joint costs x Proportion of
= $300,000 x 0.8
= $240,000.
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Question
What is the area of a triangle whose vertices are J(−2, 1), K(0, 3), and L(3, −4)?
Enter your answer in the box.
units²
The area of the triangle is 10 units²
How to find the area of a triangle using the vertices?
Given the: vertices of the triangle as J(−2, 1), K(0, 3), and L(3, −4)
The formula of the area of a triangle using the vertices of the triangle is can be given as:
A = 1/2 [x₁(y₂−y₃) + x₂(y₃− y₁)+ x₃(y₁−y₂)] ,
where (x₁, y₁), (x₂, y₂), (x₃, y₃) are the coordinates of the three vertices of the triangle
A = 1/2 [-2(3−(-4)) + 0(-4− 1)+ 3(1−3)]
A = 1/2 [-14 + 0 -6]
A = 1/2 [-20]
A = 10 units²
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how many different rectangles are there
someone pls help me with this question
Answer:
Surface Area = 2×(6×8 + 6×4 + 8×4) = 208 centimeters2
Step-by-step explanation:
Step-by-step explanation:
please see the attachment..n note it somewhere on a sheet n paste that at a place where you can see that every now n then...so you'll learn that slowly n gradually... you'll enjoy!!!(◍•ᴗ•◍)❤
Shep Company’s records show the following information for the current year:
Beginning of year End of year
Total assets $ 53,200 $ 84,000
Total liabilities $ 23,600 $ 36,600
Determine net income (loss) for each of the following separate situations. (For all requirements, losses should be entered with a minus sign.)
a. Additional common stock of $4,600 was issued, and dividends of $8,600 were paid during the current year.
b. Additional common stock of $15,400 was issued, and no dividends were paid during the current year.
c. No additional common stock was issued, and dividends of $13,600 were paid during the current year.
.
The determination of the net income for each of the following separate situations is as follows:
Situation A Situation B Situation C
Net income $21,800 $2,400 $31,400
Data and Calculations:Beginning of year End of year
Total assets $ 53,200 $ 84,000
Total liabilities $ 23,600 $ 36,600
Situation A:
Common Stock issued = $4,600
Dividend paid = $8,600
Beginning of year End of year
Total assets $ 53,200 $ 84,000
Total liabilities $ 23,600 $ 36,600
Equity $29,600 $47,400
Common Stock issued 4,600
Dividend paid (8,600)
Net Income = Ending Equity - Beginning Equity - Additional stock + Dividend Paid)
$21,800 ($47,400 - $29,600 - 4,600 + 8,600)
Situation B:Common Stock issued = $15,400
Beginning of year End of year
Total assets $ 53,200 $ 84,000
Total liabilities $ 23,600 $ 36,600
Equity $29,600 $47,400
Common Stock issued 15,400
Dividend paid
Net Income = Ending Equity - Beginning Equity - Additional stock + Dividend Paid)
$2,400 ($47,400 - $29,600 - 15,400)
Situation C:Dividends paid = $13,600
Beginning of year End of year
Total assets $ 53,200 $ 84,000
Total liabilities $ 23,600 $ 36,600
Equity $29,600 $47,400
Common Stock issued
Dividend paid $13,600
Net Income = Ending Equity - Beginning Equity - Additional stock + Dividend Paid)
$31,400 ($47,400 - $29,600 + 13,600)
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What Is 1+1X4-2 This Is Easy
Answer: 3
Step-by-step explanation: PEMDAS
First you multiple 1 and 4 then add 1 and subtract it by 2/
Answer:
0
Step-by-step explanation:
1 x 4 = 1 1 + 1 = 2 2 - 2 = 0
A circle has a radius of 4 meters centered at the origin. Determine the measure of the angle (in radians) swept out counter-clockwise from the 3 o'clock position (the ray that connects (0,0) and (4,0)) and the indicated point.(3.51,1.918) metersθ= radians (−0.737,0.675) radiiθ= radians (−3.392,−2.119) metersθ= radians (0.96,−0.279)radiiθ= radians
Input data
r = radius
r = 4m
angle from 3 o'clock
Procedure
a. (3.51, 1,918)
\(\begin{gathered} \sin \theta=\frac{1.918}{4} \\ \theta=\sin ^{-1}(\frac{1.978}{4})=0.517 \end{gathered}\)c. (-3.392, -2.119)
\(\begin{gathered} \sin \theta=\frac{-2.119}{4} \\ \theta=\sin ^{-1}(-\frac{2.119}{4})=0.5583 \\ \theta=\pi+0.5583 \\ \theta=3.7\text{ rad} \end{gathered}\)b. (−0.737,0.675) radii
Translate into meters (-2.948, 2.7)
\(\begin{gathered} \sin \theta=\frac{2.7}{4} \\ \theta=\sin ^{-1}(\frac{2.7}{4}) \\ \theta=0.741 \\ \theta=\pi-0.741 \\ \theta=2.4 \end{gathered}\)d. (0.96,−0.279) radii
Translate into meters (3.84, -1.116)
\(\begin{gathered} \sin \theta=\frac{-1.116}{4} \\ \theta=\sin ^{-1}(\frac{-1.116}{4}) \\ \theta=0.282 \\ \theta=2\pi-0.282 \\ \theta=6\text{ rads} \end{gathered}\)Summary
a. 0.517 rad
b. 2.4 rad
c. 3.7 rad
d. 6 rad
Which steps can be used to solve for the value of y?
2/3 (y+57)=178
A. Divide both sides by 2/3, then subtract 57 from both sides.
B. Subtract 57 from both sides, then divide both sides by 2/3.
C. Multiply both sides by 2/3, then subtract 57 from both sides.
D. Subtract 2/3 from both sides, then subtract 57 from both sides.
Answer:
A. Divide both sides by 2/3, then subtract 57 from both sides.
Step-by-step explanation:
You want to know the steps to solve 2/3(y +57) = 178 for y.
StepsThe variable has 57 added to it, and the sum is multiplied by 2/3. To solve for y, you need to undo these operations in reverse order.
First, you divide by 2/3.
y +57 = 267
Then you subtract 57.
y = 210
4. For each babysitting job, Adam charges a fee for his bus fare plus an hourly rate. The graph shows how he calculates the cost of a babysitting job. Write a linear function in the form
y = mx + b to represent the situation.
Ay = 3x+2
B. y = 3x+1
C. y = 6x+2
D. y = -6× + 2
y = 6x + 2 is the function which Adam charges a rate of $6 per hour and an additional fee of $2 for the bus fare.
The linear function in the form y = mx + b represents the situation where y represents the cost of the babysitting job
x represents the number of hours, "m" represents the hourly rate, and "b" represents the additional fee (bus fare).
y = 3x + 2 represents an hourly rate of 3 and an additional fee of 2.
y = 3x + 1 represents an hourly rate of 3 and an additional fee of 1.
y = 6x + 2 represents an hourly rate of 6 and an additional fee of 2.
y = -6x + 2 represents a negative hourly rate of -6 and an additional fee of 2.
Hence, y = 6x + 2 is the which Adam charges a rate of $6 per hour and an additional fee of $2 for the bus fare.
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marci car has a 12 gallon gas tank her fuel gauage says that there is 1/8 of a take left how many gallons of gas arelifet in the tank
The amount of gas that is left in the tank if there is only 1 / 8 of the tank is 1.5 gallons
How to calculate for amount in gallon?The car tank can accommodate 12 gallons of gas .
Her fuel gauge says that there is 1 / 8 of the tank left in the car tank.
Therefore, the amount of gas that is left in the tank is calculated as follows:
amount left in the tank = 1 / 8 × 12
amount left in the tank = 12 / 8
amount left in the tank = 6 / 4
amount left in the tank = 3 / 2
amount left in the tank = 1.5 gallons
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If a cube has volume 125cm³, find the height of the cube.
Answer:
height = 5 cm
Step-by-step explanation:
a cube has congruent sides (s)
the volume (V) of a cube is calculated as
V = s³
given V = 125 , then
s³ = 125 ( take cube root of both sides )
\(\sqrt[3]{s^3}\) = \(\sqrt[3]{125}\) = \(\sqrt[3]{5^3}\)
s = 5
then height = 5 cm
PLEASE HELP ME WITH GEOMETRY :(
Answer:
1st option
Step-by-step explanation:
You have to take the radius and times it by 1 which gives you 8 in.
Does the mapping diagram represent a function? Why or why not?
х
y
-6
10
2
Answer:
use mathwy
Step-by-step explanation:
its better for a. expansion
A bird can fly 5 miles in 15 minutes how many miles can it fly in 60 minutes?
Please show the process
The number of miles the bird can fly for 60 minutes is 20 miles.
How to find rate and distance?A bird can fly 5 miles in 15 minutes.
Let's find the rate before we can find the number of miles the bird can fly in 60 minutes.
Therefore,
rate = distance / time
rate = 5 / 15 = 1 / 3 miles per minutes
Therefore,
1 / 3 = d / 60
cross multiply
60 = 3d
d = 60 / 3
d = 20 miles
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HELP PLEASE DUE IN 3 MINUTES
Answer: 22
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
4. A plumber charges $45 per hour plus a $25 service charge. If a represents his total charges in dollars and b represents
the number of hours worked, which formula below could the plumber use to calculate his total charges? (A-CED.1)
A. a = 45 + 25b
B. a = 45 + 25 +b
C. a = 45b + 25
D. a = (45) (25) + b
Answer:
C. a=45b + 25
Step-by-step explanation:
Answer:
It would be C
Step-by-step explanation:
a = 45b + 25
Reason:
It says the plumber charges 45 dollars per hour and that b is the number of hours worked. so we multiply 45 dollars by the variable b(number of hours worked), then we add the service charge, since the service charge is only added once, we do not multiply it by a variable.
Therefore we get:
a = 45b + 25
Answer the questions below to find the total surface area of the can.
Ab=3.14xRadious to the power of 2
then to the area of the rectange you do B x H = YOUR ANSWER
Choose the system of inequalities that best matches the graph below.
Answer: D
Step-by-step explanation:
Hope it helps
will mark as branlist
Answer:
2
Step-by-step explanation:
p3 = 8
square root of 64 = 8
q = 8
so that means that the equation is > 8+8 / 8 = 2
plz mark brainliest!
A.) 9
Step-by-step explanation:Original Equation: p³ + √64 ÷ q
Substitute: ⇒2³ + √64 ÷ 8
Solve for Each Value:
⇒ (p³ or 2³) = 8
⇒ (√64) = 8
⇒ (q or 8) = 8
Now, Solve the Equation Using the Order of Operations ( or P.E.M.D.A.S (perenthesis, exponents, multiplication, division, addition, subtraction)):
New equation: 8 + 8 ÷ 8
Using P.E.M.D.A.S.:
(8 ÷ 8) = 1
8 + (1) = 9
Therefore the answer is A.) 9Please mark brainliest!!! =DClassify the triangle as scalene, isosceles, or
equilateral. Show your work. D(8,-6), E(-1, -3), F(-2, 5)?

Answer:
Step-by-step explanation:
I love you
Answer:
Step-by-step explanation:
first
secnf
Tell whether one figure is a reflection of the other figure
yes or no
Answer:
No
Step-by-step explanation:
plzz help me I am in a math test plzz!
Answer:
I believe its b.Let know if I'm right
Answer:
option a is the answer
Step-by-step explanation:
because we compare the first digit after point if it is same with the second number we are comparing the second digit after point if they are also same then move on to third after point and so on
1.Which is greater 2/4 or ¼?
2.Which is the least 3/6 or 3/7?
3.Which is greater 7/21 or ⅓ ?
HELPPPP PLEASE, IF YOU GIVE ME AN ANSWER GARBAGE I WILL REPORT YOU
THANK, :)
To graph the inequality y>-3x-4, you would draw a dashed line.O A. TrueO B. False
True.
Since it is strictly greater
I NEED HELP WITH STATISTICS
The claims are this year some of their clients will have a starting salary of at least $38,500 and last year at least one of their clients had a starting salary of exactly $38,500. Correct options are A and B.
Based on the given information, option A can be true. This is because the average starting salary of the job placement agency's clients was $38,500 last year, which means some clients had a starting salary equal to or greater than that amount.
Option B is also true because the mean includes all values, including the value of $38,500, so it is likely that at least one client had that starting salary.
Option C cannot be determined from the given information as it is unclear what percentage of clients had a starting salary above $38,500. Option D is not necessarily true as there is no information on the starting salary of any client exceeding $42,000.
Option E is also not true as the average salary of $38,500 does not guarantee that all clients had that same starting salary. Therefore, the correct answer is A and B, and the rest cannot be determined from the given information.
Correct options are A and B.
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The machinery in a cereal plant fills 350 g boxes of cereal. The specifications for the machinery permit for a certain amount of fill tolerance. It is found that the weights of filled cereal boxes are normally distributed with a mean of 350 g and a standard deviation of 4 g. What is the probability that a box of cereal is under filled by 5 g or more?
There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.
First, we can standardize the problem by using the z-score formula:
z = (x - μ) / σ
Where:
x = the weight value we want to find the probability for (345 g in this case)
μ = the mean weight (350 g)
σ = the standard deviation (4 g)
Substituting the values into the formula:
z = (345 - 350) / 4 = -1.25
Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.
The probability of obtaining a z-score less than -1.25 is approximately 0.1056.
However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.
The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.
Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
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(HALP PLS WILL 100% MARK BRAINLIEST!) Sage has $26 and wants to download some songs from a music
Web site. Each song costs $1.79 to download. By rounding the
cost of the songs up to the nearest whole dollar, estimate the
greatest number of songs she can download.
A) 11
B) 13
C) 15
D) 17
Answer:
≈ 13Step-by-step explanation:
First ,we round 1.79 to the nearest whole dollar:
since 7 ≥ 5 then 1.79 rounded to the nearest whole dollar is 2
now ,we can estimate the greatest number she can download:
26/2 = 13
on a line chart, you can change the of the vertical axis to provide more vertical space and a more dramatic slope to the lines.
we are allowed to change the vertical axis on a line chart.
why we need to change the vertical axis?suppose we have a large range of value needed to plot along the vertical and horizontal axis, but the current line chart cannot meet this demand. in such cases, we can customize the scales to provide more vertical and horizontal spaces.
what is dramatic slope?dramatic slopes are the steep slopes of a straight line calculated by vertical and horizontal coordinate of two points laying on it. By changing the vertical axis as well as the horizontal axis we can plot a graph of a straight line more properly and finally more dramatic slope is visible there.
hence, we can change the scale values on a line chart to meet the requirement of the plot.
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