Answer:
[tex]2x(x+3)(x + 4)[/tex]
Step-by-step explanation:
To factor [tex]2x^3+14x^2+24x[/tex]
First, factor out the common term [tex]2x[/tex]:
[tex]\implies 2x(x^2+7x+12)[/tex]
Now factor the expression in the parantheses: [tex]x^2+7x+12[/tex]
Find two numbers that multiply to 12 and sum to 7: 3 and 4
Rewrite [tex]7x[/tex] as the sum of these 2 numbers:
[tex]\implies x^2+3x + 4x+12[/tex]
Factorize the first two terms and the last two terms separately:
[tex]\implies x(x+3) + 4(x+3)[/tex]
Factor out the common term [tex](x+3)[/tex]:
[tex]\implies (x+3)(x + 4)[/tex]
Therefore, the final factorization of the polynomial is:
[tex]\implies 2x (x+3)(x + 4)[/tex]
Let's factor up
2x³+14x2+24x2x(x²+7x+12)2x(x²+4x+3x+12)2x(x+4)(x+3)So
Length=2xBreadth=x+3Height=x+4[Can be interchanged]
Pls help easy math will give brainlest
Answer:
Problem 17
Independent -- T
dependent -- D
_________________________
Problem 16
Independent -- X
dependent -- Y
_________________________
Problem 18
Independent -- R
dependent -- Q
Step-by-step explanation:
If the total amount of a loan, $24,000 is paid off in 3 years with an interest rate of 3.70%, compounded monthly, what was the principal rounded to the nearest cent? Provide only a numerical value for your answer (For example, if your amount came to $5,704.97, then you would type in 5704.97 as your answer).
Answer:
21482.20
Step-by-step explanation:
A = P(1+r/m)^mt
A = Total Amount, P = Principal, r = rate. m = number of months, t = time
24000 = P(1 + 0.037/12)^12*3
24000 = P(1.003083333)^36 --- I added 1 to 0.037 divied by 12, then multiplied 12*3 on the outside of the parentheses
24000 = 1.117204101(P)
24000/1,117204101 = 1.117204101P/1.1177204101
P = 21482.20
Good luck! :)
What is the constant of variation?
Answer:
constant (unchanged) ratio of two variable quantities.
Step-by-step explanation:
Constant of Variation. The constant of variation in a direct variation is the constant (unchanged) ratio of two variable quantities. The formula for direct variation is. y = k x (or y = k x ) where k is the constant of variation .
evaluate 3 square root 125/1000
Answer: it the first one
Step-by-step explanation:
PLS I NEED HELP i have been stuck on this one for a while
Answer:
26.0
Step-by-step explanation:
We can apply the Pythagorean theorem to this problem. First, we need to square both legs. 7^2 = 49, and 25^2 = 625. If we add them, they equal 674. We then just take the square root of 674 which is 26.96. When rounded, that is 26.0
8x - 8 = 7x simplified down
Step-by-step explanation:
Hope my answer helps mark me brainliestAnswer:
x = 8
Step-by-step explanation:
Step 1: Subtract 7x from both sides.
8x−8−7x=7x−7x
x−8=0
Step 2: Add 8 to both sides.
x−8+8=0+8
x=8
HGD
-ghost
17/3x+17-2/3x-15 what is the solution
Answer:
Step-by-step explanation:
[tex]\sf \dfrac{17}{3}x+17-\dfrac{2}{3}x-15 = \dfrac{17}{3}x-\dfrac{2}{3}x+17-15[/tex]
[tex]=\dfrac{17-2}{3}x + 2\\\\\\=\dfrac{15}{3}x+2[/tex]
What is the value of this expression when a = 4, b= -5, and c =-7?
a + 2bc/3a
Answer:
The answer would be c- 6 1/6
Step-by-step explanation:
I recommend desmos scientific calculator if you put in a=4, b=-5, c=-7 then plug in the equation it should give you your answer!
The following shape has 0 pairs of parallel sides. What is the area of the shape?
Answer:
67.5 square units
Step-by-step explanation:
Formulae
[tex]\textsf{Area of a triangle}=\sf \dfrac12bh[/tex]
(where b is the base and h is the height)
[tex]\textsf{Area of a trapezoid}= \sf \dfrac12(a+b)h[/tex]
(where a and b are the bases, and h is the height)
Solution
We can divide this shape into a triangle and a trapezoid.
[tex]\implies \textsf{Area of triangle}=\sf \dfrac12 \cdot 10 \cdot 7=35\:\textsf{(square units)}[/tex]
[tex]\implies \textsf{Area of trapezoid}= \sf \dfrac12(3+10)\cdot 5=32.5\:\textsf{(square units)}[/tex]
Therefore:
Area of shape = 35 + 32.5 = 67.5 square units
Area of trapezoid
1/2(10+3)(5)1/2(13)(5)65/232.5units²Area of traingle'-
1/2(10)(7)5(7)35units²Total area:-
35+32.567.5units²Charlotte has a peice of string that is 14 feet long. She cuts it into pieces that are each 1/3 foot long. How many cut pieces of string does charlotte have?
Answer:
42
Step-by-step explanation:
Since each cut is 1/3 of a foot, you can tell that it will take 3 pieces to make 1 foot. Based on that ratio, you can do 14*3, which is 42 pieces.
Pls help math easy will give brainlest
Answer(s)
Problem 9: 138.53
Problem 10: Function
Problem 11: Not A Function (Not Sure)
Edit; Problem 9 should've been right, I have no idea then.
Express as a sum of logarithms.
[tex] log_{2}(16 \times 24) [/tex]
Cindy counted 8,723 blue beads, 4,632 red beads, 3,512 green beads, and 5,971 white beads.
Doris counted 6,802 blue beads, 3,162 red beads, 987 green beads, and 2,689 white beads.
How many did Cindy and Doris count in all.
Answer:
36,478 beads
Step-by-step explanation:
8723+4632+3512+5971=22,838
6,802+3,162+987+2,689=13,640
22,838+13,640= 36,478
So Cindy and Doris have 36,478 beads in total.
Linda has a credit card with a balance of $600.00. The APR on her credit card is 18%. Her minimum payment is $20.00. If Linda stops using her credit card, how long will it take (in months) to pay off the $600.00 if she makes only the minimum payment?
Please help will mark brainiest
Please help me thank you!
Answer:
a(1) = 11a(n) = 4 + a(n-1)Step-by-step explanation:
The first term shown is 11. The terms have a common difference of 15 -11 = 4.
These values let you write the recursive formula:
[tex]a_1=11\\a_n=4+a_{n-1}[/tex]
__
The common difference is added to the previous term to find the current term.
How many solutions does this
system have?
=
-x + 3y = 3
2x – 6у = 30
What's 3 + 1 because yes
Answer:
4
Step-by-step explanation:
8+y+g+0= 4
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER
Answer: 40 degrees
Step-by-step explanation:
[tex]\begin{aligned}& \triangle A B C \cong \triangle D E F \\&\therefore \angle A=\angle D \quad(\text{By corresponding parts of a congruent triangle}) \\&x+20=2 x \\&2 x-x=20\\& x=20\\&\therefore m\angle A=x+20=20+20=40^{\circ} \\\end{aligned}[/tex]
Explain how to use a graph of the function f(x) to
find f(3)
Answer:
depends
Step-by-step explanation:
f(x) is the function. the (x) corresponds with the x axis or coordinate. so find 3 on the x axis and find its corresponding y.
Three numbers have a mean of 7.
The numbers are 15, 2, and what?
Answer:
The mean is 4
Step-by-step explanation:
15+2+4 = 21 which you can divide by 3 = 7
Simplify: 5/6(12x + 36) + 2/3
Answer:
GG EZ
Step-by-step explanation:
GG 34/57(12/16)=54/65/
67-67-&45&12+3-2(-6)
= simpli
=12-76-Fgh
can someone help me with this
Answer:
32
Step-by-step explanation:
first subtract 8 from his age and then multiply it by four.
The product of two positive integers is 20. Find the two numbers
Answer:
1 and 20 or 2 and 10 or 4 and 5
Step-by-step explanation:
the divisors of 20 are 1 , 2 , 4 , 5 , 10 , 20
Then
20 = 1 × 20
= 2 × 10
= 4 × 5
Suppose that each person sitting in an enclosed room that measures 10 ft x 15 ft x 12 ft produces about 600 BTUs of
body heat per hour. Which statements are correct?
A)
3 people will produce approximately 8.33 BTUs/ft3 in a 9 hour period.
B)
4 people will produce approximately 13.33 BTUs/ft3 in a 10 hour period.
C)
5 people will produce approximately 3.33 BTUs/ft? in a 2 hour period.
D)
6 people will produce approximately 7.33 BTUs/ft3 in a 4 hour period.
E)
7 people will produce approximately 9.33 BTUs/ft3 in a 4 hour period.
The volume of a cuboid is the product of its length, width, and height. Out of the five statements B, C, and E are correct.
What is the volume of a cuboid?The volume of a cuboid is the product of its length, width, and height. It is formulated as:
[tex]\rm \text{Volume of Cuboid} = Length \times Width \times Height[/tex]
As the dimensions of the room are given and a room is mostly in the shape of a cuboid. Therefore, the volume of the room can be written as,
The volume of the room = 10ft × 15ft × 12ft = 1800 ft³
A.)
The heat produced by 3 people in a period of 9 hours will be
= 600 BTU × 3 people × 9 hour
= 16,200 BTU
We already know the volume of the room is 1800 ft³. Therefore, the heat produced per unit volume can be written as:
[tex]\rm \text{Heat produced per unit volume}= \dfrac{16,200\ BTU}{1800\ ft^3} = 9\ BTU/ft^3[/tex]
Hence, the statement that 3 people will produce approximately 8.33 BTUs/ft³ in a 9 hour period is wrong.
B.)
The heat produced by 4 people in a period of 10 hours will be
= 600 BTU × 4 people × 10 hours
= 24,000 BTU
We already know the volume of the room is 1800 ft³. Therefore, the heat produced per unit volume can be written as:
[tex]\rm \text{Heat produced per unit volume}= \dfrac{24,000\ BTU}{1800\ ft^3} = 13.334\ BTU/ft^3[/tex]
Hence, the statement that 4 people will produce approximately 13.334 BTUs/ft³ in a 10 hour period is correct.
C.)
The heat produced by 5 people in a period of 2 hours will be
= 600 BTU × 5 people × 2 hours
= 6,000 BTU
We already know the volume of the room is 1800 ft³. Therefore, the heat produced per unit volume can be written as:
[tex]\rm \text{Heat produced per unit volume}= \dfrac{6,000\ BTU}{1800\ ft^3} = 3.334\ BTU/ft^3[/tex]
Hence, the statement that 5 people will produce approximately 3.334 BTUs/ft³ in a 2 hour period is correct.
D.)
The heat produced by 6 people in a period of 4 hours will be
= 600 BTU × 6 people × 4 hours
= 14,400 BTU
We already know the volume of the room is 1800 ft³. Therefore, the heat produced per unit volume can be written as:
[tex]\rm \text{Heat produced per unit volume}= \dfrac{14,400\ BTU}{1800\ ft^3} = 8\ BTU/ft^3[/tex]
Hence, the statement that 6 people will produce approximately 7.334 BTUs/ft³ in a 4 hour period is wrong.
E.)
The heat produced by 7 people in a period of 4 hours will be
= 600 BTU × 7 people × 4 hours
= 16,800 BTU
We already know the volume of the room is 1800 ft³. Therefore, the heat produced per unit volume can be written as:
[tex]\rm \text{Heat produced per unit volume}= \dfrac{16,800\ BTU}{1800\ ft^3} = 9.334\ BTU/ft^3[/tex]
Hence, the statement that 7 people will produce approximately 9.334 BTUs/ft³ in a 4 hour period is correct.
Learn more about the Volume of a Cuboid:
https://brainly.com/question/23118276
#SPJ1
y=x^2+16x+71 in vertex form
Answer:
y=(x+8)^2+7
Step-by-step explanation:
А,
С
X = [?]°
55°
D
B
Х
E
→F
Angles are not drawn to scale.
Enter
Answer:
[tex]\displaystyle 35[/tex]
Explanation:
Complementary Angles sum up to ninety degrees, so do the following:
[tex]\displaystyle 90° = 55° + m\angle{DEF} \\ \\ 35° = m\angle{DEF}[/tex]
I am joyous to assist you at any time.
Plsss help me with this answer this is due tmrw
Answer:
2
Step-by-step explanation:
13+7x=27
-13 -13
7x=14
÷7
x=2
Answer:
x = 2
Step-by-step explanation:
Given
13 + 7x = 27#1) Subtract 13 from each side.
13 + 7x - 13 = 27 - 137x = 14#2) Divide 7 from each side.
7x/7 = 14/7x = 2simplify 15a6bc4/35a2c4 20a3b (3a4b/7) 20a4b 3a3b/7
Answer:
The answer is
C.) 3a⁴b/7
Step-by-step explanation:
I know it's the right answer because It's the answer it showed on Edge.
Can somebody please help me I will mark u brilliant
Answer:
2/7 + (-3/4) + (-2/7) + 4/3
If we look at 2/7 and (-2/7), we can see that both of them combined will get you a result of 0, so let's do that first.
2/7 + (-2/7) = 0
Now we're left with;
(-3/4) + 4/3
Make sure to convert both fractions into having a common denominator,
[They both have a common denominator of 12], so:
(-3/4) = (-9/12)
4/3 = 16/12
Add them:
(-9/12) + 16/12
16/12 - 9/12
= 7/12, which cannot further be simplified.