Answer:
6.2
Step-by-step explanation:
You can find the median by adding up all of the numbers and dividing the result by how many numbers there are.
add them all together: 5 + 6 +5+6+9 = 31
there are five people, so divided 31 by 5
31 divided by 5 = 6.2
6.2
The volume of a gas in a container varies inversely with the pressure on the gas. If a gas has a volume of 450 cubic inches under a pressure of 3 pounds per square inch, what will be its volume if the pressure is increased to 5 pounds per square inch
Answer: [tex]270\ in.^3[/tex]
Step-by-step explanation:
Given
Volume of a gas varies inversely with pressure i.e.
[tex]V\propto \dfrac{1}{P}\\\\PV=\text{constant}[/tex]
Initially, [tex]V_1=450\ in.^3,P_1=3\ psi[/tex]
Then, pressure increases to [tex]P_2=5\ psi[/tex]
[tex]\therefore P_1V_1=P_2V_2\\\Rightarrow 3\times 450=5\times V_2\\\Rightarrow V_2=3\times 90\\\Rightarrow V_2=270\ in.^3[/tex]
Thus, volume decreases to [tex]270\ in.^3[/tex].
Solve for x using the
distributive property.
-2(-3+ x) = -4
X =
[?]
Answer:
x=5
Step-by-step explanation:
-2(-3+ x) = -4
Distribute
-2 * -3 + (-2) *x = -4
6 -2x = -4
Subtract 6 from each side
6 -2x-6 = -4-6
-2x = -10
Divide each side by -2
-2x/-2 = -10/-2
x = 5
Answer:
5
Step-by-step explanation:
-2(-3+x)=-4
Use distributive property (Multiply -2 by -3 which gives you 6vand multiply -2 by x which gives you -2x )
6-2x=-4
Bring the 6 over to the other side
-2x=-4-6
-2x=-10
Divide both sides by -2 to get x by itself
x=5
y
In the diagram, AB = 10 and AC = 210. What is the
perimeter of ABC?
ch
A (8,4
O 10 units
4 3 2
O 10+ 210 units
O 20 units
X
O 20+ 2/10 units
2 3 4 5
B (5,-2)
C (5,-2)
3
9514 1404 393
Answer:
20 +2√10 ≈ 26.3 units
Step-by-step explanation:
Length AB is given as 10 units. Length AC is given as 2√10 ≈ 6.325 units. The length BC is the difference of the x-coordinates of its end points, since they are on a horizontal line: 5 -(-5) = 10 units.
The perimeter is the sum of the lengths of the sides of the triangle.
P = AB +AC +BC = 10 +2√10 +10 = 20 +2√10 ≈ 26.3 . . . units
SOMEONE PLEASE ANSWER THIS ASAP!!
The population of Arlington High School can be modeled using the equation P(t) = 3,500(1.027)^t , where t represents the number of years since 2010
Is the population of Arlington High increasing or decreasing? Explain how you can tell using the equation.
How do you interpret the statement that P(6)= 4,107
SOMEONE PLEASE ANSWER THIS
Step-by-step explanation:
Arlington is increasing because it has 1.027, if it was 0.27 it would be decreasing
If p(6)= 4107 that means after 6 years there would be a total population of 4107
Which term describes the red curve in the figure bellow?
Answer:
Letter B. Hyperbole is your answer
The sum of a number and 2 is 6 less than twice that number
Step-by-step explanation:
The first thing we have to do before we can actually do the problem is turn the words into a math equation.
If we use x as our "number," we see that "The sum of a number and 2" can also be written as x+2. The word "Is" almost always means (=), so now we have (x+2) = . The very last part, "6 less than twice that number," means 2x - 6.
So, our whole equation is, (x + 2) = (2x - 6), which simplifies to -x = -8, or
x = 8
Answer:
y = 8
Step-by-step explanation:
number = y
y + 2 = 2y - 6
y + 2 - 2 = 2y - 6 - 2
y = 2y - 8
y - 2y = 2y - 2y - 8
- y = - 8
- y × - 1 = - 8 × - 1
y = 8
What are the x- and y-intercepts of g(x) = 4 - X2?
Answer:
g(x) = 4 - x^2
at x-intercept, y=0
0=4-x^2
x^2=4
x = ± 2
=> two x- intercepts, (-2,0) and (2,0)
at y-intercept, x = 0
g(x) = y = 4 - 0 = 4
y-intercept = (0,4)
The x-intercept is ( ±2 , 0 ) and y- intercerpt is (0,4).
What is an intercept?A y-intercept, also known as a vertical intercept, is the location where the graph of a function or relation intersects the coordinate system's y-axis.
This is done in analytic geometry using the common convention that the horizontal axis represents the variable x and the vertical axis the variable y. These points satisfy x = 0 because of this.
g(x) = 4 - x²
At x-intercept, y = 0
0=4-x²
x² = 4
x = ± 2
Two x- intercepts, (-2,0) and (2,0)
at y-intercept, x = 0
g(x) = y = 4 - 0 = 4
y-intercept = (0,4)
Therefore, the x-intercept is ( ±2 , 0 ) and y- intercerpt is (0,4).
To know more about an intercept follow
https://brainly.com/question/1884491
#SPJ2
What is the name of an investment that pools money from many investors in
order to acquire a large variety of stocks, bonds, and other investments?
A. Derivative
B. Mutual fund
C. Annuity
Answer:
Mutal fund because its a formerly greatest instruments
The name of an investment that pools money from many investors in order to acquire a large variety of stocks, bonds, and other investments is Mutual fund.
What is investment?Investment is traditionally defined as the "commitment of resources to achieve later benefits
A mutual fund is a type of investment vehicle that pools money from multiple investors to invest in a diversified portfolio of stocks, bonds, and other securities.
Mutual funds are managed by professional fund managers who use the pooled funds to purchase a range of investments, with the goal of generating a return for the investors.
Investors in mutual funds own shares in the fund, and the value of their investment is based on the performance of the underlying securities held by the fund.
Mutual funds offer investors the benefits of diversification, professional management, and ease of investment, as well as the ability to invest in a variety of asset classes with relatively low minimum investment requirements.
Hence, the name of an investment that pools money from many investors in order to acquire a large variety of stocks, bonds, and other investments is Mutual fund.
To learn more on Investment click:
https://brainly.com/question/15353704
#SPJ7
A shopkeeper marked the price of an article a certain percent above the cost price and he allowed 16% discount to make 5% profit. If a customer paid Rs 9,492 with 13% VAT to buy the article, by what percent is the marked price above the cost price of the article?
Plz solve this problem
Answer:
25%
Step-by-step explanation:
let the MP be x
sp without vat =x-16%of x
= 21x/25
sp with VAT = 21x/25 +13% of 21x/25
rs 9492 = 2373x/2500
( 9492*2500)/2373=x
x = 10000
cp = ((21x/25 )*100)/100+5 ( 5= profit percent )
=8000
(10000-8000)×100%/8000
=25%
Given m|n, find the value of x.
(6x-5)
(6x+5)
Answer:
Submit Answer
attempt
PLSSSS HELP
Answer:
x = 15
Step-by-step explanation:
The two angles form a straight line so they add to 180
6x-5+6x+5 = 180
Combine like terms
12x= 180
Divide by 12
12x/12 =180/12
x = 15
If you could answer them all It would really be helpful PLEASE marking brainliest
Answer:
1. the area of the triangle minus the area of the small, inner rectangle. what did you not understand there ?
the standard formula (hi, internet !) for the area of a triangle is baseline×height/2.
the standard formula (hi, first grade !) for the area of a rectangle is length×width.
that's it.
1.a.
the volume of an object regularity shaped like a silo is always ground area times height.
for this object we only need to imagine to stand the object up sideways on the triangle side.
and don't forget - an area is always a square unit (like cm²,m², ft², ...). and a volume is always a cubic unit (like cm³, m³, ft³, ...).
so then, the triangle area is the ground area. and the original long side line of the object is is height.
as we said in 1. above, the area of a triangle is baseline×height (of the triangle, not of the overall object) divided by 2.
so, we have here 6×4/2 = 6×2 = 12 m²
and now the ground area × object height = 12×8=96 m³
b.
the standard formula for the volume of a ball (hi, internet !) is pi×r³.
so, we have here pi×9³. can you calculate that with your calculator ? that is pi×729 = 2290.221 cm³
2a.
the height of the cone is (as the drawing already suggests) determined via the right-angled triangle of the radius (half of the diameter) of the ground circle, the height of the cone and the length of the sideline on the outside mantle of the cone. this sideline is the Hypotenuse (the baseline of the triangle opposite of the 90 degree angle).
so, we use Pythagoras
c² = a² + b² (c being the Hypotenuse, a and b being the sides).
11² = 8² + h²
121 = 64 + h²
h² = 57
h = 7.55 cm
2b.
the standard formula for the volume of a cone (hi, internet !) is
pi×r²×h/3
pi×8²×7.55/3 = pi×64×7.55/3 = 506 cm³
Step-by-step explanation:
all of that you could easily search on the internet and since it yourself way faster than putting things in here and waiting for responses.
as there is really nothing to explain but just to use the standard formulas with the given numbers.
The following house is called an A-frame house because it looks like the letter A from the front.
Suppose that all edges of this A-frame house measure 6.5 yards, and the height of the house is 5.6 yards.
What is the area covered by the roof? [Type your answer as a number. Do not round.]
__ square yards
The area covered by the roof would be 84.5 square yards.
How to calculate the area covered by the roof of the house?To calculate the area covered by the roof the formula that should be used would be the formula for the area of a square;
That is ;
Area = 2(length×width)
= 2(6.5×6.5)
= 2(42.25)
= 84.5 yards²
Learn more about area here:
https://brainly.com/question/28470545
#SPJ1
What is 8j - 3k + 6 - 7j + 3k - 4 simplified
Answer:
j+2
Step-by-step explanation:
combine like terms
3k - 3k = 0
8j - 7j = 1j or j
6 - 4 = 2
put it all together
j + 2
Answer:
j + 2
Step-by-step explanation:
= 8j - 3k + 6 - 7j + 3k - 4
= 8j - 7j - 3k + 3k + 6 - 4
=j + 2
Answer from Gauth math
Write an equation of a circle given the center (-4,4) and radius r=5
Answer:
Step-by-step explanation:
Equation of circle: (x - h)² + (y - k)² = r² where (h,k) is the center.
Center( -4 , 4) and r = 5
(x -[-4])² + (y - 4)²= 5²
(x + 4)² + (y-4)² = 25
x² + 2*4*x +4² + y² - 2*y*4 + 4² = 25
x² +8x + 16 + y² - 8y + 16 = 25
x² + 8x + y² - 8y + 16 + 16 -25 = 0
x² + 8x + y² - 8y +7 = 0
We have that the an equation of a circle given the center (-4,4) and radius r=5 is mathematically given as
(x-4)^2+(y-4)^2=5^2
Equation of a circle
Question Parameters:
Given the center (-4,4) and radius r=5
Generally the equation for the Equation of a circle is mathematically given as
(x-x')^2+(y-y')^2=r^2
Therefore, The resultant equation will be
(x-x')^2+(y-y')^2=r^2
(x-4)^2+(y-4)^2=5^2
Hence,an equation of a circle given the center (-4,4) and radius r=5 is
(x-4)^2+(y-4)^2=5^2
For more information on Equation visit
https://brainly.com/question/2263981
sinx+sin3x=0
sin5x=-cos2x
Answer:
We have, sinx+sin3x+sin5x=0
∴(sinx+sin5x)+sin3x=0
∴2sin(
2
x+5x
)cos(
2
5x−x
)+sin3x=0
∴2sin3xcos2x+sin3x=0
∴sin3x(2cos2x+1)=0
Either sin3x=0 or 2cos2x+1=0
i.e. sin3x=0 or cos2x=−
2
1
Now, cos2x=−cos
3
π
∴cos2x=cos(π−
3
π
)
∴cos2x=cos
3
2π
∴sin3x=0 or cos2x=cos
3
2π
3x=nπ,n∈Z or 2x=2mπ±
3
2π
where m∈Z
Hence, x=
3
nπ
or x=mπ±
3
π
, where n,m∈Z.
Find the value of x in the isosceles triangle shown below.
Answer:
x = 6
Step-by-step explanation:
The isosceles triangle is divided into two forming two right triangles
in right triangles the square value of hypotenuse is equal to sum of other two side lengths
x^2 + 4^2 = 52
x^2 + 16 = 52 subtract 16 from both sides
x^2 = 36 find the root for both sides
x = 6
What is the area of the triangle?
16
10
8
Answer:
Where is the picture of the triangle?
What is the solution to the system of equations graphed below?
Answer:
the third option=C -2,3
Step-by-step explanation:
solve simultaneously
Answer:
(-2,3)
Step-by-step explanation:
The solution to the system is where the two lines cross
x= -2
y = 3
(-2,3)
Can someone please help me!
Answer: Pretty sure that it's y=-5/3x+8
Step-by-step explanation: Since the slope-intercept form is y=mx+b with b as the y-intercept and m as the slope. b would be 8 since that's where the line intercepts the y-axis and the slope is -5/3 (negative bc the line is slanted down)
Answer:
y = - [tex]\frac{8}{5}[/tex] x + 8
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 the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 8) and (x₂, y₂ ) = (5, 0 ) ← 2 points on the line
m = [tex]\frac{0-8}{5-0}[/tex] = [tex]\frac{-8}{5}[/tex] = - [tex]\frac{8}{5}[/tex]
The line crosses the y- axis at (0, 8 ) ⇒ c = 8
y = - [tex]\frac{8}{5}[/tex] x + 8 ← equation of line
What are the solution(s) to the quadratic equation x2 – 25 = 0?
x = 5 and x = –5
x = 25 and x = –25
x = 125 and x = –125
no real solution
hi
x²-25 = (x+5) ( x-5)
As a multiplication can only add up to zero if one of term is 0 ,
there is two solutions :
x+5 = 0
x = -5
and x-5 = 0
x = 5
So two solutions for x² -25 = 0 which are -5 and 5
If f(x) = 3x^2-2x+4 and g(x) = 5x^2+6x-8, find (f-g)(x)
Answer:
-2x^2-8x+12
Step-by-step explanation:
f(x) = 3x^2-2x+4
g(x) = 5x^2+6x-8
(f-g)(x)= 3x^2-2x+4 -(5x^2+6x-8)
Distribute the minus sign
(f-g)(x)= 3x^2-2x+4 -5x^2-6x+8
Combine like terms
=-2x^2-8x+12
Answer: (f+g)(x)=8x^2+4x-4
Step-by-step explanation:
Find the volume of this cylinder please..
Answer: 825
Step-by-step explanation:
Plug in the values for v = π*r²*h
So, your new equation is v = π*5²*11 (I got 5 because 10 is the diameter, the radius is half the diameter, therefore r = 5.)
The question is also telling us to replace π with 3.
now we solve, after gathering all of our information.
v = 3*5²*11
v=3*25*11
v=75*11
v=825
Heyo random person scrolling.Please help me?
Let's do
[tex]\\ \sf\longmapsto 2sin^260cos60tan^245[/tex]
[tex]\\ \sf\longmapsto 2\left(\dfrac{\sqrt{3}}{2}\right)^2\times \dfrac{1}{2}\times (1)^2[/tex]
[tex]\\ \sf\longmapsto 2\times \dfrac{(\sqrt{3})^2}{2^2}\times \dfrac{1}{2}\times 1[/tex]
[tex]\\ \sf\longmapsto \dfrac{3}{2}\times \dfrac{1}{4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{3}{4}[/tex]
Trigonometric values
[tex]\Large{ \begin{tabular}{|c|c|c|c|c|c|} \cline{1-6} \theta & \sf 0^{\circ} & \sf 30^{\circ} & \sf 45^{\circ} & \sf 60^{\circ} & \sf 90^{\circ} \\ \cline{1-6} $ \sin $ & 0 & $\dfrac{1}{2 }$ & $\dfrac{1}{ \sqrt{2} }$ & $\dfrac{ \sqrt{3}}{2}$ & 1 \\ \cline{1-6} $ \cos $ & 1 & $ \dfrac{ \sqrt{ 3 }}{2} } $ & $ \dfrac{1}{ \sqrt{2} } $ & $ \dfrac{ 1 }{ 2 } $ & 0 \\ \cline{1-6} $ \tan $ & 0 & $ \dfrac{1}{ \sqrt{3} } $ & 1 & $ \sqrt{3} $ & $ \infty $ \\ \cline{1-6} \cot & $ \infty $ &$ \sqrt{3} $ & 1 & $ \dfrac{1}{ \sqrt{3} } $ &0 \\ \cline{1 - 6} \sec & 1 & $ \dfrac{2}{ \sqrt{3}} $ & $ \sqrt{2} $ & 2 & $ \infty $ \\ \cline{1-6} \csc & $ \infty $ & 2 & $ \sqrt{2 } $ & $ \dfrac{ 2 }{ \sqrt{ 3 } } $ & 1 \\ \cline{1 - 6}\end{tabular}}[/tex]
HELPPP HELP PLS PRONTO ASAP
Ahmed is working at a restaurant. His boss pays him $16.00 per hour and
promises a raise of $1.25 per hour every 6 months. Which sequence
describes Ahmed's expected hourly wages, in dollars, starting with his current
wage?
Answer:
B
Step-by-step explanation:
each of the numbers is just adding 1.25 on to it
Answer: Choice B
16.00, 17.25, 18.50, 19.75, ...
==========================================================
Explanation:
We start with $16.00 as the first term, as this is the amount the boss pays him initially. Then we add on 1.25 to get 16+1.25 = 17.25 to represent the next wage after that first raise.
Then after the second raise he gets, he'll then earn 17.25+1.25 = 18.50 an hour. This process theoretically can go on forever, but realistically the boss will likely set some kind of limit.
We say that this sequence { 16.00, 17.25, 18.50, 19.75, ... } is arithmetic with the first term of 16.00 and common difference 1.25
The common difference is the gap width between any two neighboring terms, and it's the amount the wage goes up each time he gets a raise.
x²+10x+25resove into factors.
Answer:
(x + 5)(x + 5)
Step-by-step explanation:
[tex]x^2+10x+25\\(x+5)(x+5)[/tex]
Answer:
(x+5)(x+5)
Step-by-step explanation:
x²+10x+25
x²+5x+5x+25
x(x+5)+5(x+5)
(x+5)(x+5)
The domain for f(x) and g(x) is the set of all real numbers.
Let f(x) = x2 + 1 and g(x) = 3x.
Find f · g.
A.
x2 + 3x + 1
B.
3x3 + 3x
C.
3x3 + 3x + 1
D.
x2 + 3x
Answer:
I say it's a
Step-by-step explanation:
I hope this help
use the ratio of a 45-45-99 triangle to solve for the variables.
hopefully this answer can help you to answer the next question.
Mary wants to get spray foam insulation in her attic space. Shown here is a diagram of her attic - is the spray foam costs $3.15 per cubic meter, how much will it cost Mary to get her whole attic done?
Answer:
D 1,433.25
Step-by-step explanation:
1/2(10)(7)=35
35*13=455
455*3.15=1,433.25
Answer:
D
Step-by-step explanation:
You need to find the volume of the attic (I would find the surface area myself -- but this is math. You just have to obey the rules of the question no matter how silly).
The Volume is found by V = B * h1
The base is a triangle.
b = 7 m
h1 = 10 m
Area = 1/2 * 7 * 10
area = 35 m^2
The volume of the attic is
V = B * h
V = 35 * 13
V = 455 m^3
The cost = cost /m^3 * m^3
m^3 = 455
Cost = 3.15 * 455
Cost = 1433.25
On the first day of travel, a driver was going at a speed of 40 mph. The next day, he increased the speed to 60 mph. If he drove 2 more hours on the first day and traveled 20 more miles, find the total distance traveled in the two days.
Answer:
380
Step-by-step explanation:
This is a bit nasty. It depends on how you read the 20 miles more and what you do with it. The best and most careful way to do it is do it a long way setting up the two equations carefully.
Second day
Let the time travelled = t
Let the speed travelled = 60 mph
d2 = 60*t
First Day
40*(t + 2) = d1
but d1 = d2 + 20 because he travelled 20 miles further on d1
40 * (t + 2) = d2 + 20
d2 however = 60*t
40*(t+2 ) = 60*t + 20 Remove the brackets
40t + 80 = 60t + 20 Subtract 20 from both sides
40t + 60 = 60t Subtract 40t from both sides
60 = 20*t Divide by 20
t = 60/20
t = 3 hours.
Day 2 = 60 + t = 180
Day 1 = 40*5 = 200
Total distance = 380
Where did that 20 miles go? It was just an observation about the difference in distance travelled between the 2 days.
The total distance the driver traveled in the two days is 260 miles
From the question, on the first day, the driver was going as a speed of 40 mph.
Let s be speed
∴ [tex]s_{1}= 40mph[/tex]
On the second day, he increased the speed to 60 mph
∴ [tex]s_{2}= 60mph[/tex]
From the statement- If he drove 2 more hours on the first day
Let time be t
Then
[tex]t_{1}= t_{2} + 2[/tex] hrs
and traveled 20 more miles
Let d be distance
Then,
[tex]d_{1}= d_{2} + 20[/tex] miles
From the formula
Distance = Speed × Time
Then,
[tex]d = s \times t[/tex]
∴ [tex]d_{1} = s_{1} \times t_{1}[/tex]
From above,
[tex]d_{1}= d_{2}+20[/tex] miles
[tex]s_{1}= 40mph[/tex]
[tex]t_{1}= t_{2} + 2[/tex] hrs
Putting these into
[tex]d_{1} = s_{1} \times t_{1}[/tex]
[tex]d_{2} + 20 = 40\times (t_{2}+2)[/tex] ...... (1)
But,
[tex]Time = \frac{Distance}{Speed}[/tex]
∴ [tex]t_{2}= \frac{d_{2} }{s_{2} }[/tex]
From above, [tex]s_{2}= 60mph[/tex]
∴ [tex]t_{2}= \frac{d_{2} }{60}[/tex]
Put this into equation (1)
[tex]d_{2} + 20 = 40\times (t_{2}+2)[/tex]
[tex]d_{2} + 20 = 40\times (\frac{d_{2}}{60} +2)[/tex]
[tex]d_{2} + 20 = \frac{2}{3}d_{2} +80\\d_{2} = \frac{2}{3}d_{2} +80-20\\d_{2} = \frac{2}{3}d_{2} +60[/tex]
Multiply through by 3
[tex]3\times d_{2} = 3\times \frac{2}{3}d_{2} +3 \times 60\\3d_{2} = 2d_{2} + 120\\3d_{2} -2d_{2} = 120[/tex]
∴ [tex]d_{2} = 120[/tex] miles
∴The distance traveled on the second day is 120 miles
For the distance traveled on the first day,
Substitute [tex]d_{2}[/tex] into the equation
[tex]d_{1}= d_{2}+20[/tex] miles
∴ [tex]d_{1}= 120+20[/tex]
[tex]d_{1}= 140[/tex] miles
∴ The distance traveled on the first day is 140 miles
The total distance traveled in the two days = [tex]d_{1} + d_{2}[/tex]
The total distance traveled in the two days = 120 miles + 140 miles
The total distance traveled in the two days = 260 miles
Hence, the total distance the driver traveled in the two days is 260 miles
Learn more here: https://brainly.com/question/23531710
Wendy went to the salon and had 2 1/6 inches of hair cut off. The next day she went back
and asked for another 2 1/6 inches to be cut off. How much hair did she have cut off in all?
Write your answer as a fraction or as a whole or mixed number.
inches.
Answer:
4 1/3 of her hair
Step-by-step explanation:
Just add 2 1/6 + 2 1/6 and there you go
There is the total amount of her hair she cut