Answer:
630
Step-by-step explanation:
630 - 594 = 36
594 - 540 = 54
630 is closest to 594
Answer:
630 is closer
Step-by-step explanation:
The number of units separating 540 and 594 is 54; that separating 594 and 630 is 36. So 630 is closer to 594.
what is the answer Factorise: 2x² +7x+6.
Answer:
2x + 3 )(x + 2 )
Step-by-step explanation:
2x² + 7x + 6
Find two numbers multiplied together to get 6
and if you multiply one by 2, the answer is 7:
Tested:
6 & 1 but 6 · 2 + 1 = 13 or 6 + 2 · 1 = 8 No
2 & 3 and 2 · 2 + 3 = 7 Yes
2x² = 2x & x
all signs are positive
trinomial factoring ( )( )
( + )( + )
2 and 3 are the numbers to use (2x + 3 )(x + 2 ) or (2x + 2) (x + 3)
The largest number goes with the 2x.
Therefore (2x + 3 )(x + 2 )
Check 2x(x + 2) + 3(x + 2)
2x² + 4x + 3x + 6
2x² + 7x + 6 checked
Answer:
11[tex]x[/tex]+6
Step-by-step explanation:
2[tex]x^{2}[/tex]= 4[tex]x[/tex] because 2 *2 = 4 + x = 4[tex]x[/tex]
since 7[tex]x[/tex] is a like term we add it to 4[tex]x[/tex] and it becomes : 11[tex]x[/tex]
Since 6 does not have a variable we do not add anything to it so, it stays the same and the simplified expression becomes : 11[tex]x[/tex] + 6
PLEASE HELP THIS IS DUE TOMORROW
Answer:
Step-by-step explanation:
A cubed shaped water tank has a volume of 729 m3 , one of the walls on the inside will need to be painted, a gallon of paint will cover an area of 15 square meters, the paint can only be bought by the gallon (you can’t buy part of a gallon), how many gallons of paint will be needed to paint one of the walls?
Answer: 33 gallons
Step-by-step explanation:
The water tank is a cube, with one dimension of x meters. Its volume will be x^3.
X^3 = 729m^3
x = 9 meters. The cube has 4 side walls and a top and bottom, for a total of 6 interior walls. Each wall has an area of x^2, or 81 m^2.
(6 walls)*(81 ft^2) = 486 m^2
One gallon of paint will cover 15 m^2. The conversion factor is (1 gallon/15 m^2)
(486 m^2)*(1 gallon/15 m^2) = 32.4 gallons, rounded up to 33 gallons
Conducting numerous, separate statistical analyses increases the chance that one or more of the results appear to be statistically significant, but are actually attributable to random variation or measurement error. The problem is referred to as:
A family-wise inflation of error rate is the increase in the probability that one or more results of a numerous, independently (separately) conducted statistical analyses to become statistically significant, but these results can actually be attributed to random variation or measurement error.
In Statistics, a family-wise inflation of error rate is also referred to as family-wise error rate (FWER) and it can be defined as the probability of making at least one false conclusion or type I errors in numerous, separate statistical analyses or hypothesis tests.
Hence, a family-wise inflation of error rate increases the probability that one or more of the results among groups within an independent data set to be statistically significant, especially due to random variation or measurement error.
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how can i solve this
Answer: Ill show you some not everything so u can try
Step-by-step explanation: for example 8+y=92
you can make a new problem...
move the 92...
92
subtract
92-
subtract the other number which isnt the variable
92-8
subtract and you get your answer!
Step-by-step explanation:
an equation means that whatever is on one side of the "=" sign is truly equal to whatever is on the other side.
it is like a balance.
you can change the content on one side of the balance, but then you have to make the same change on the other side of the balance. otherwise the balanced relation between both sides is destroyed. and it is no longer an equation.
for the same reason, you can perform any mathematical operation on an equation, as long as you do it simultaneously on both sides.
all these equations are equations with one variable.
so, if we find a way to bring all terms with the variable to one side, and everything else (typically constant numbers) to the other side, while still maintaining the equation relation, then we can solve this by saying "this is only an equation, if the variable has this is that value".
and that is the whole trick.
so, for e.g. t + 3 = 5, how can we get only the variable on one side ? well, the "+ 3" is disturbing, so we subtract 3.
and to keep the balance, we need to subtract 3 on both sides.
that gives us then
t + 3 - 3 = 5 - 3
t = 2
and boom ! the equation has solved itself right in front of our eyes.
and the same thing for all the other equations.
find what is the disturbing additional term on the side of the variable, then get rid of it (and repeat that exact action on the other side) and see what is left on the other side. and you have solved the equation.
that works in every direction like
n + 22 = 5
n + 22 - 22 = 5 - 22
n = -17
12.5 = 7.4 + z
12.5 - 7.4 = 7.4 - 7.4 + z
5.1 = z or
z = 5.1
remember, it is an equation like a balance. you can switch the balance bowls from left to right and right to left, and still they are in balance.
ITO
Jacky starts biking to meet up with her friend. She knows that if she bikes at a speed of
10 mph he will be 3 minutes late for the meeting. Jacky also knows that if she bikes at a
speed of 12 mph, she will be there 2 minutes before they agreed to meet. How much
time does she have left before the appointed time?
Using the speed - distance relationship, the time left before the appointed time is 27 minutes.
Recall :
Distance = speed × time Let time = tAt 10mph :
Distance = 10 × (t + 3) = 10t + 30 - - - (1)At 12 mph :
Distance = 12 × (t - 2) = 12t - 24 - - - - (2)Equate (1) and (2) :
10t + 30 = 12t - 24
Collect like terms
10t - 12t = - 24 - 30
-2t = - 54
Divide both sides by - 2
t = 54 / 2
t = 27
Hence, the time left before the appointed time is 27 minutes.
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Answer:
7
Step-by-step explanation:
Carey Enterprises sold equipment on January 1, 2014 for $10,000. The equipment had cost $48,000. The balance in Accumulated Depreciation at January 1 is $40,000. Requirements: 1. Compute the gain or loss on sale 2. Prepare journal entries to record the sale of the equipment
The sale of an equipment is referred to as disposal of an asset. The required answers are:
1. Gain on disposal = $2000
2. Journal entry for the disposal of the equipment.
Dr Cr
$ $
Cash acct. 10000
Asset 8000
P or L 2000
Disposal of an asset implies the sale of a plant, property, or equipment. This would ensure the recovery of the carrying amount of the item during sale.
1. The gain or loss on sale of the equipment can be determined by deducting its carrying amount from its recoverable amount.
Thus, to determine the gain or loss on disposal;
$'000
Cost 48
Accum. Depreciation 40
Carrying amount 8
Gain or loss on disposal = Selling price - carrying amount
= $10000 - $8000
= $2000
The gain on disposal is $2000.
2. Dr Cr
$ $
Cash acct. 10000
Asset 8000
P or L 2000
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Ron is 25 years old and is retiring at the age of 65. When he retires, he will need a monthly income of $4,123 for 20 years. If Ron contributes 10% of his monthly income to a 401(k) paying 5.5% compounded monthly, will he reach his goal for retirement given that his monthly income is 3,142.23? If he does not make his goal then state by what amount he will need to supplement his income. Round all answers to the nearest cent.a.Ron will meet his monthly goal of exactly $4,123 for retirement.b.Ron will meet his monthly goal of $4,123 for retirement with an excess of $125.34.c.Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.d.Ron will not make his monthly goal of $4,123 and will need $450.61 to supplement his monthly income when he retires.
Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.
What is Compound interest?Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.
Given monthly income of Ron is $3,142.23
Ron is 25 years old and is retiring at the age of 65. so he has 40 years to contribute.
Total amount he contribute in 40 years paying 5.5% compounded monthly is given by
interest rate(r) = 0.055/12
time period = 40 years = 480 months
Principal amount = $314.223
Future value = [tex]P(\frac{(1+r)^{n}-1 }{r} )[/tex]
Substitute, we get,
= 3142.23 [tex].10(\frac{(1+\frac{0.055)^{12.40}-1) }{12} }{\frac{0.055}{12} }[/tex]
Thus, future value is $547074.681009.
After retirement his monthly income when he has $547074.681009 amount.
P = (A.i/2)/(1-(1+i/12)⁻ⁿ)
Putting values, we get,
P = (547074.68×0.55/12)/1-(1+0.055/12)⁻²⁴⁰
P = $3763.25
He will receive a monthly income of $3763.25.
But given he will need a monthly income of $4,123 for 20 years, which is not met by Ron.
So, the amount he needs to supplement his monthly income when he retires by (4123-3763.25)= $359.74
Hence, Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.
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There are 32 students in your class. After voting for the class representative, Alan received 3 times as many votes than David. How many votes did Alan receive?
Answer:
alan received 24 votes
Step-by-step explanation:
bark
A square has a side length of 36 feet. This square is dilated by a scale factor of 23
2
3
to create a new square. What is the side length of the new square?
Answer:
24
Step-by-step explanation:
I answerd it on ttm and got it right
please help... ABCD is a quadrilateral
What is 3.50 rounded to the nearest whole ounce?
Answer:
4.00
Step-by-step explanation:
because it is rounding to the whole number
Answer
if 3.50 refers to ounces, it would round to 4.
Step-by-step explanation:
Find the reference angle for -369°
a.
9°
c.
99°
b.
81°
d.
171°
Please select the best answer from the choices provided
A
B
C
D
Answer:
A. 9
Step-by-step explanation:
a) 60 square meters in square centimeters.
Answer:
600,000 cm²
Step-by-step explanation:
We know the conversion from meters to centimeters to be
1 m = 100 cm.
We need the conversion factor from square meters to square centimeters.
Start with
1 m = 100 cm
Square both sides.
(1 m)² = (100 cm)²
1 m² = 10,000 cm²
Now that we have the correct conversion factor from m² to cm², we can do the conversion of 60 m² into cm².
60 m² × (10,000 cm²)/(1 m²) = 600,000 cm²
What does x equal in the equation 10= 0.0048(x - 50)^2 + 6?
Answer:
x=\frac{0.48+\sqrt{0.0768}}{0.0096},\:x=\frac{0.48-\sqrt{0.0768}}{0.0096}
Step-by-step explanation:
(x-50)^2 is x^2+2500-100x*.0048 is .0048x. 2500*0.0048 is 12, and -100*0.0048=-.48.
So, we have .0048x^2+12-.48x+6, which is
.0048x^2+18-.48x=10. USing the quadratic formula, we get
x=\frac{0.48+\sqrt{0.0768}}{0.0096},\:x=\frac{0.48-\sqrt{0.0768}}{0.0096}
(Enter into symbolab.com to see theanswer)
x²+5x+6, x²+x-6 and x²-9 find hcf
Answer:
[tex]x {}^{2} + 5x + 6 \\ {x}^{2} + 3x + 2x + 6 \\ x(x + 3) + 2(x + 3) \\ (x + 3) (x + 2)\\ \\ ( {x}^{2} + x - 6) \\ {x}^{2} + 3x - 2x - 6 \\ x(x + 3) - 2(x + 3) \\ (x - 2)(x + 3) \\ \\ {x}^{2} - 9 \\ (x - 3)(x + 3) \\ \\ the \: hcf \: = (x + 3)[/tex]
how can you solve this (3/4 - 1/5)
Answer:
11/20
Step-by-step explanation:
30233088 in index form
Answer:
3.0233088 x 10 raise to power 7
1) The measures of the angles of a triangle are in the ratio of 1:3:6. What are the measures of the angles?
1:
3:
6:
Answer:Answered 2 years ago. The total of the sum of the measures of any triangle has been proven to be 180 degrees. If the ratio of angle measure is 1:3:6.
Step-by-step explanation:
Answer:
1: 18 3: 54 6: 108
Step-by-step explanation:
A triangle has 180 degrees.
You need to add up all the ratios 1+3+6
Then divide that by 180----> 180/10=18
Then multiply all the ratios by but answer(18)
1*18=18
3*18=54
6*18=108
HELP!!
Formula
Y=___x +___
Answer:
look at the slope rise of 2 run of -1 or other way around so slope is
[tex] y = - \frac{2}{1}x + 5[/tex]
Write an equation for each line in slope-intercept form.
Answer:
Line 1 : y = -2x - 5
Line 2 : y = -3x + 3
Step-by-step explanation:
note the slope, and then note the y intercept
Answer:
y = - 2x - 5 and y = - 3x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = - 2, - 1) and (x₂, y₂ ) = (0, - 5) ← 2 points on the line
m = [tex]\frac{-5-(-1)}{0-(-2)}[/tex] = [tex]\frac{x- 5+1}{0+2}[/tex] = [tex]\frac{-4}{2}[/tex] = - 2
The line crosses the y- axis at (0, - 5 ) ⇒ c = - 5
y = - 2x - 5 ← equation of line 1
Repeat with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1, 0) ← 2 points on line 2
m = [tex]\frac{0-3}{1-0}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3
The line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = - 3x + 3 ← equation of Line 2
A plane flies from San Francisco to New York City at 600 miles per hour and returns along the same route at 400 miles per hour. What is the average flying speed for the entire route (in miles per hour)
Answer: 500 i think
Step-by-step explanation:
If a triangle is equilateral, then all the sides in the triangle are congruent.If all the sides in a triangle are congruent, then all the angles are congruent.
Answer:
Where's the question?
Step-by-step explanation:
-2+3y=9 ; y=2x+7 i need help
Answer:
Here is your 2 answers.
Step-by-step explanation:
First question: -2+3y=9
step 1 simplify first so now it's 3y-2
step 2 add both sides by 2 now its 3y=11
step 3 divide both sides by 3 so on the left both sides should cross out leaving only y=11/3 so this is your first answer
Second question:
I attach the link this question acquires a graph to plot I believe so here is the answer for the second one hope I help please mark brainliest if I did! <3
Please help me with this question. I don't think I understand it. Quadratic functions graphing #15-19.
Will pick brainliest answer, thank you :)
Answer:
15) (1, 1) and (-1, 1)
16) (1, 2) and (-1, 2)
17 (1,1/2) and (-1, 1/2)
18) (1,1/4) and (-1, 1/4)
19) 16 is vertical stretch, 17 and 18 is vertical compressed
Step-by-step explanation:
for qs 15-18 since x is 1 or -1 if you sq 1 or -1 you will always get 1
so y is the "a" value in the equation y=ax²
for qs 19
y=ax²
so if a>1 -- then vertical stretch
when 0<a<1 -- then vertical compressed
Write an equation in slope intercept form of the line
Answer: y=-1/4x+4
Step-by-step explanation:
slope goes down 1, and right 4 so it's -1/4. Y-intercept is positive 4 so it will be +4
Sub :- Linear Equations
Hiiiiiiiiiiiii
The value of x is 1 & y is 2 (a).
Steps are attached.
______
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
ASAP!! Use the slope formula to find the slope of the line passing through the points ( -66) and ( 3,3) . Use pencil and paper. Find two more points that the line passes through.
The slope of the line is
Answer: y = -66x + 201
Step-by-step explanation:
7≥ 3x + 4 is it 4, 1, 2 or -1
Answer:
x≤1
Step-by-step explanation:
7≥3x+4
Intercambie los lados para que todos los términos de las variables estén en el lado izquierdo. Esto cambia la dirección de la señal.
3x+4≤7
Resta 4 en los dos lados.
3x≤7−4
Resta 4 de 7 para obtener 3.
3x≤3
Divide los dos lados por 3. Dado que 3 es >0, la dirección de desigualdad sigue siendo la misma.
x≤
3
3
Divide 3 entre 3 para obtener 1.
x≤1
I need help I don't understand
Answer:
2nd one
Step-by-step explanation:
I know this because I learned about this