Answer:
6x^2+ 19x+8
Step-by-step explanation:
(3x+8)(2x+1) use foil method which gives you,
6x^2+16x+3x+8 then combine like terms which gives you,
6x^2+ 19x+8.
PLEASE HELP!!
• Which of these are equivalent to -11/4 ? Choose ALL that apply.
The options equivalent to the given fraction are: -11 ÷ 4, -11 ÷(- 4), [tex]\frac{-11}{4}[/tex] , [tex]\frac{11}{-4}[/tex]
[tex]-\frac{11}{4}[/tex] is an improper fraction. An improper fraction is a fraction in which the numerator is larger than the denominator. [tex]\frac{-11}{4}[/tex] can also be written as -11 ÷ 4.
In order to determine the answers, take note of the following rules:
When a negative number is divided by a positive number, the result is a negative number. -8 ÷ 2 = -4When a positive number is divided by a negative number, the result is a negative number. 8 ÷ -2 = -4When a negative number is divided by a negative number, the result is a positive number. -8 ÷ -2 = 4Using the above rules, the equivalent options are: -11 ÷ 4, -11 ÷(- 4), [tex]\frac{-11}{4}[/tex] , [tex]\frac{11}{-4}[/tex]
A similar question was answered here: https://brainly.com/question/15382096?referrer=searchResults
The first, second, fourth, and fifth options among all are equivalent to [tex]\frac{-11}{4}[/tex].
These all are forms of division.
The division is an arithmetic operation that involves splitting a quantity or number into equal parts or groups. It is the inverse operation of multiplication. In division, a number called the dividend is divided by another number called the divisor to obtain the quotient.
The dividend is the total quantity or number being divided, while the divisor is the number by which the dividend is divided. The result of the division is called the quotient, which represents the number of times the divisor can be subtracted from the dividend to achieve equal parts.
Hence, the first, second, fourth, and fifth options are correct.
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how to find rations in triangles
Answer:
When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles.
Step-by-step explanation:
Which of the following does not state a principle related to why ground wires are an effective safety device? O A. Electronic devices are protected from power surges by having insulated wires. B. Electricity will travel more easily through metal than through insulators. C. When enough electricity builds up, it could pass through highly resistant materials to get to the Earth. D. Electricity always wants to travel "downhill" toward the Earth.
A; electronic devices are protected from power surges by having insulated wires.
The option that does not state a principle related to why ground wires are an effective safety device is:
A. Electronic devices are protected from power surges by having insulated wires.
Insulated wires protect electronic equipment against power surges, however, this has nothing to do with the usefulness of ground wires as a safety precaution.
The idea of earth wires is to provide a safe conduit for electrical currents to go into the Earth, avoiding harmful electrical potential from building up.
Thus, options B, C, and D all state principles that are directly related to the effectveness of ground wires as a safety device.
Hence, the correct answer is A.
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If system of linear equations has no solution,then
Answer:A system of linear equations has no solution when the graphs are parallel. Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line.
Step-by-step explanation:
Defects in computer hard-drives will usually render the entire computer worthless. For a particular model, the percent defective in the past has been 1%. If a sample size of 400 is taken, what would the 95.5% lower control chart limit be?
Answer:
0.00005
Step-by-step explanation:
We have the average fraction defective as p = 1%
= 0.01
N = 100
Then 95.5% deviation = 2σ
From there we have,
σ = √p*(1-p)/n
When we input these values, into the formula, we will have
σ = √0.01(1-0.01)/100
= √0.01(0.99)/100
= √0.000099
= 0.00995
The LCL = p - 2σ
= 0.01 - 0.00995
= 0.00005
lower control chart limit be is 0.00005
The 95.5% lower control chart limit be is 0.0005.
Given,
The average fraction percent in the past defective as p = 1% = 0.01
Sample size N = 400
Then ,
According to the question ,
95.5% deviation = 2x
We have,
x = [tex]\frac{\sqrt{p (1-p)} }{n}[/tex]
We put these values, into the formula,
x = [tex]\frac{\sqrt{0.01 ( 1 - 0.01) } }{400}[/tex]
= [tex]= \frac{\sqrt{(0.01) (0.99)} }{400}[/tex]
= [tex]\frac{0.99}{400}[/tex]
= 0.0000245
The LCL = p - 2x
= 0.01 - 0.0000245
= 0.00005
The Lower control chart limit be is 0.00005
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Tickets at the basketball game are 2:50 each: complete table based on cost of basketball game tickets
Answer:
0)2.50 2)5.00 4)10.00 6)15.00
Step-by-step explanation:
Alex mows lawns. He earns $15 per lawn. How much does he earn in 4 days if he mows 5 lawns per day?
Answer:
He would make 300 dollars.
Step-by-step explanation:
15 x 5 = 75
75 x 4 = 300.
Answer:
answer is 300
Step-by-step explanation:
Because if your doing it for 1 day you would have to 15*5 which five you 75. Then you multiple that 75 with the 4 and give you 300 within the 4 days..
Hopes this help.
What is the circumstance of the circle
Answer:
c=pie r squared is the equations and the answer is 50.27
Step-by-step explanation:
3. A certain sum of money at simple interest amounts to $560 in 3 years and to
$600 in 5 years. Find the principal and the rate of interest. [Ans. $ 500; 4%]
Answer: principal value = $500 and rate of interest = 4%.
Step-by-step explanation:
Let P = Principal value, r= rate of interest, t= time.
Formula for simple interest:
Interest = P x r x t
Final amount = P+ interest
= P+Prt
= P(1+rt)
Simple interest amounts to $560 in 3 years.
⇒ 560= P(1+3r)
[tex]\Rightarrow\ P=\dfrac{560}{1+3r}[/tex] (i)
Simple interest amounts to $600 in 5 years.
⇒ 600= P(1+5r)
[tex]\Rightarrow\ P=\dfrac{600}{1+5r}[/tex] (ii)
From (i) and (ii) , we get
[tex]\dfrac{560}{1+3r}=\dfrac{600}{1+5r}\\\\\Rightarrow\ 560(1+5r)=600(1+3)\\\\\Rightarrow\ 560+2800r=600+1800r\\\\\Rightarrow\ 2800r-1800r=600-560\\\\\Rightarrow\ 1000r=40\\\\\Rightarrow\ r=\dfrac{40}{1000}\\\\\Rightarrow\ r= 0.04= 4\%[/tex]
Put r= 0.04 in (ii), we get
[tex]P=\dfrac{600}{1+5(0.04)}\\\\=\dfrac{600}{1+0.2}\\\\=\dfrac{600}{1.2}\\\\=500[/tex]
Hence, principal value = $500 and rate of interest = 4%.
PLEASE HELP I WILL GIVE 100 points
Using the drawing below to answer the questions that follow
Part A what is the scale factor used when going from the larger rectangle to smaller one?
Part B
What is the length of missing side?
PLEASE HELP
Answer: the scale factor is 1/2
And the missing side is 5.5
Step-by-step explanation:
The larger triangle is twice the smaller triangle
The scale factor is 1/2 and the length of the missings side is 5.5 after using the concept of the scale factor.
What is a scale factor?The ratio among comparable dimensions of an object and a model with that object is known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.
It is given that:
The two rectangles are shown in the picture:
Part A what is the scale factor used when going from the larger rectangle to the smaller one?
The scale factor = 8/16 = 1/2
The length of the missings side = 1/2(11) = 5.5
Thus, the scale factor is 1/2 and the length of the missings side is 5.5 after using the concept of the scale factor.
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Blake was listening to his favorite radio station. He noticed that 15 songs were played and 3 of them were by Justin Bieber in the hour he was listening.
13. What is the ratio of songs by Justin Bieber to the number of songs played?
14. Write this as a unit rate.
15. Suppose the station continues to play this ratio of songs. How many times will Blake hear songs by Justin Bieber in the next three hours?
Answer:
15 is 9 because the ratio is 3:15 in 1 hour, so you multiply by 3(hours) and you get 9
Step-by-step explanation:
I apologise but I'm too rusty at the other questions to be able to answer them anywhere close to accurate D:
9514 1404 393
Answer:
13. 3/15 = 1/5
14. 1/5 (or 3 Bieber songs per hour)
15. 9
Step-by-step explanation:
13. The requested ratio is ...
(3 Bieber songs)/(15 total songs) = 3/15 = 1/5
__
14. 1/5 is the "unit rate" for the ratio in problem 13. Its units are "Bieber songs per song played."
(IMO, this "unit rate" is pointless. For the purpose of problem 15, the applicable "unit rate" is Bieber songs per hour. That is 3 songs per hour.)
__
15. At a rate of 3 Bieber songs per hour, in 3 hours one might expect ...
(3 songs/hour)(3 hours) = 9 songs . . . . by Bieber
Which of the following inequalities is correct?
Answer:
B
Step-by-step explanation:
does increase in sample size increases degrees of freedom for t-tests.
Identify the VERTEX
Please help
Answer:
1,-4
Step-by-step explanation:
The vertex is always that little spot there at the tip of a nonlinear function.
Best answer gets brainliest!!!
Choose 3 plz!
I believe that the answer B,D,and E
Answer:
A, D, and E (I think)
Step-by-step explanation:
I'm pretty sure those would be the right answers, sorry that this isn't much of an explanation lol
which of the following sets of numbers could represent the three sides of a triangle?\
{10,21,32}
{13,17,32}
{14,24,40}
{13,16,27}
Answer:
14,24,40
Step-by-step explanation:
u cute
Answer:25 = 25 Right Triangle. 3, 7 and 9 Squaring each side = 9, 49 and 81. sum of the squares of the short sides = 9 + 49 = 58. 58 < 81 Obtuse Triangle. For determining if the 3 sides can even form a triangle, the triangle inequality theorem states that the longest side must be shorter than the sum of the other 2 sides.
Step-by-step explanation:
Steve started with $250 and spent $25 per week. Which slope intercept form equation would match this situation ?
Answer: After 10 weeks he will run out of money. The ratio is 25:1
Step-by-step explanation:
Hunter earns $16 per hour tutoring students after school. If Hunter tutored for 12 hours this month, how much money did he earn this month?
Answer:
Step-by-step 4explanation:
Find the dimensions of the rectangular box with maximum volume in the first octant with one vertex at the origin and the opposite vertex on the ellipsoid 4x^2+y^2+4z^2=4
a. The length of the box in the x-direction is:_______
b. The length of the box in the y-direction is:_______
c. The length of the box in the z-direction is:_______
Solution :
Let x, y, z be the dimensions of the rectangle.
Volume of the rectangle (V) = xyz
Given that the vertex should lie on ellipse [tex]$4x^2 + y^2+4z^2=4$[/tex] .......(i)
So here the volume xyz must be maximum with constraints above.
We solve this using Lagranches method with variable λ
Lagranches function is
[tex]$F : xyz + \lambda(4x^2+y^2+4z^2-4)=0$[/tex] .....(ii)
To find λ, [tex]$\frac{dF}{dx}=0; \frac{dF}{dy}=0;\frac{dF}{dz}=0$[/tex]
[tex]$\frac{dF}{dx}=0 \Rightarrow yz+\lambda(16x)=0 \Rightarrow \lambda = -\frac{yz}{16x}$[/tex] .............(iii)
[tex]$\frac{dF}{dy}=0 \Rightarrow xz+\lambda(2y)=0 \Rightarrow \lambda = -\frac{xz}{2y}$[/tex] ..................(iv)
[tex]$\frac{dF}{dz}=0 \Rightarrow xy+\lambda(16z)=0 \Rightarrow \lambda = -\frac{xy}{16z}$[/tex] ...............(v)
Equating (iii) and (iv)
[tex]$-\frac{yz}{16x}=-\frac{xz}{2y} \Rightarrow y^2=8x^2 \Rightarrow y = \sqrt8 x$[/tex] ...............(vi)
Equating (iii) and (v)
[tex]$-\frac{yz}{16x}=-\frac{xy}{16z} \Rightarrow z^2=x^2 \Rightarrow z = x$[/tex] ....................(vii)
Substitute (vi) and (vii) in (i),
From (i),
[tex]$4x^2 + (\sqrt8 x)^2+4x^2 = 4$[/tex]
[tex]$\Rightarrow 4x^2 +8x^2+4x^2 = 4 \Rightarrow x = \frac{1}{4}$[/tex]
From (vi),
[tex]$y = \sqrt8 x$[/tex]
[tex]$\Rightarrow y= \sqrt8 \times \frac{1}{4} \Rightarrow y =\frac{\sqrt8}{4}$[/tex]
[tex]$\Rightarrow y =\frac{\sqrt{2\times4}}{4} \Rightarrow y = \frac{1}{\sqrt2}$[/tex]
From (vii),
z = x
[tex]$z =\frac{1}{4}$[/tex]
Therefore, for maximum volume the dimensions of a rectangle box are
[tex]$x =\frac{1}{4} ; y = \frac{1}{\sqrt2} ; z =\frac{1}{4}$[/tex]
the reciprocal of 3 - 1/5 is
Answer:
[tex]\frac{5}{14}[/tex]
Step-by-step explanation:
First subtract the two terms by setting the first term as a fraction.
3 * [tex]\frac{5}{5}[/tex] = [tex]\frac{15}{5}[/tex]
Then subtract the terms.
[tex]\frac{15}{5}[/tex][tex]-\frac{1}{5}[/tex] = [tex]\frac{14}{5}[/tex]
Finally, flip the numerator and the denominator.
1998 hurricane Bonnie approached the United States at a speed of 8 miles per hour . The function y= 8x disproves how many miles y hurricane Bonnie traveled x hours . Use the graph to estimate how far the hurricane traveled in 2.5 hours
Answer:
y=20
Step-by-step explanation:
8x
8(2.5)
8×2=16
8×0.5=4
16+4=20
y=20 in this equation
van someone help me with this
Answer:
107
Step-by-step explanation:
Find the value for x.
5x - 12
3x + 30
48
The value of x will be;
⇒ x = 3.75
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 5x - 12 + 3x + 30 = 48
Now,
Solve the expression for x as;
The expression is,
⇒ 5x - 12 + 3x + 30 = 48
⇒ 8x - 12 + 30 = 48
⇒ 8x + 18 = 48
Subtract 18 both side as,
⇒ 8x - 18 = 48 - 18
⇒ 8x = 30
Divide by 8 as;
⇒ x = 30/8
⇒ x = 3.75
Thus, The value of x will be;
⇒ x = 3.75
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What is the value of x?
(6x – 1)º
(5x + 5)º
(4x + 8)º
(3x)º
(5x + 3)º
X =
Step-by-step explanation:
(1 point)
No, there isn't a more efficient way to solve this system.
Yes, a more efficient way is to multiply the first equation by 4, add to eliminate y, then solve for x.
Yes, a more efficient way is to multiply the first equation by −4, add to eliminate y, then solve for x.
Yes, a more efficient way is to multiply the first equation by −4, add to eliminate x, then solve for y.
please help ALGRBRA II 10 points
If the empire state building stands at around 1,454 feet and something is born every 0.00000000000000000000005 second how long is the average toenail length for a standard bridge troll? (I'm asking for a friend of mine..)
Answer:
Length = 0
Step-by-step explanation:
The bridge troll is tearing his toe nails up climbing the Empire State Building.
i will give brainliest to the right answer<3
Answer:
the whole
Step-by-step explanation:
Find the equation of the purple line.
Answer:
Y-3/5x+2
Step-by-step explanation:
Solve 11 < 3x+8 < 20.
Answer:
1<x<4
Step-by-step explanation:
this helps me out a lot in my math class
Answer:
x=4 and thats your answer thanks for helping you but if using the z-score it's 0
Step-by-step explanation:
1<x<4
(x+8)(x+2) = 10x+x^2
Answer:
.
Step-by-step explanation:
x^2 + 2x + 8x + 16 = 10x + x^2 (FOIL)
x^2 + 10x + 16 = 10x + x^2 (add like terms)
16 = 0 (10x and x^2 cancel out on both sides)
(x+8)(x+2) is NOT equal to 10x+x^2
