Answer:
2
Step-by-step explanation:
mean=6
number of terms=5
mean =sum of the terms/number of terms
6 = 4+7+x+9+8/5
by cross multiplying,
4+7+x+9+8 = 6 × 5
x+28=30
x=30-28
x=2
hope this helps you!
please please help me i dont know
Answer:
O-O omg i feel u i have like the same question
Step-by-step explanation:
sorry couldn't help
Answer:
Hello! I'm pretty sure you aren't expecting an answer now. If no one else answers the points would be lost so I'm answering right now. If you were, I'm really sorry and you can report this answer so that it gets deleted and another person can answer! :)
The opening of a tunnel that travels through a mountainside can be modeled by [tex]y = - \frac {2}{15} (x - 15)(x + 15)[/tex], where x and y are measured in feet. The x-axis represents the ground.
a. Find the width of the tunnel at ground level.
b. How tall is the tunnel?
Answer:
(a) 30 feet
(b) 30 feet.
Step-by-step explanation:
Given that the opening of a tunnel that travels through a mountainside can be modeled by
[tex]y=\frac{-2}{15} (x-15)(x+15)[/tex], where x and y are measured in feet.
[tex]\Rightarrow y=\frac{-2}{15}(x^2-15^2}[/tex]
[tex]\Rightarrow y=\frac{-2}{15}{x^2-225}\cdots(i)[/tex]
(a) At the ground level, [tex]y=0[/tex]
So, the width of the tunnel at ground level is distance between the extreme point of the tunnel on the grount.
For, [tex]y=0[/tex], the extreme points of the tunnel.
[tex]0=\frac{-2}{15} (x-15)(x+15)[/tex]
[tex]\Rightarrow (x-15)(x+15) =0[/tex]
[tex]\Rightarrow x= 15, -15[/tex]
So, the extreme points of the tunnel are, [tex]x_1=15[/tex] and [tex]x_2=-15[/tex].
Hence, the width of the tunnel at the ground level
[tex]= | x_1 - x_2 |[/tex]
[tex]=|15-(-15)|[/tex]
[tex]=30[/tex] feet.
(b) The maximum height of the tunnel can be determiment by determining the maxima of the given function.
First determining the value of x for which the slope of the graph is zero.
[tex]\frac{dy}{dx}=0[/tex]
From equation (i),
-2x=0
[tex]\Rightarrow x=0[/tex]
And [tex]\frac{d^2y}{dx^2}= -2[/tex]
which is always negative, so at x=0 the value of y is maximum.
Again, put x=0 in equation (i), we have
[tex]y=\frac{-2}{15}{0^2-225}[/tex]
[tex]\Rightarrow y=30[/tex] feet.
Hence, the tunnel is 30 feet tall.
Jane decided she would spend the
of her money on Sweet Tarts. About how
many pounds of Sweet Tarts did Jane
purchase?
. Between the gum balls, Pixie Sticks, and
that she would spend the rest
Sour Patch Kids, how much money will
Nicholas have left of his allowance?
Answer:
can you comment the real question because this is just gibrish
Step-by-step explanation:
Timothy has three buckets shaped like cylinders. He is filling the buckets with water using a scoop shaped like a cone. If the scoop and the bucket have the same height and radius, how many scoops will it take him to fill the buckets using the scoop? *
Rhianna was doing research for a report about the highest mountains in the United States. She read that the Grand Teton in Wyoming is about 1.37 × 104 feet high. How should Rhianna write the height of the Grand Teton in standard form on her report?
Answer:
1.37 × 10⁴ feet
Step-by-step explanation:
Standard form is a way or method used in mathematics to write very large or very small numbers in a compact form by raising them to the power of 10 (exponents)
She read that the Grand Teton in Wyoming is about 1.37 × 10⁴ feet high.
The standard form of writing this height = 1.37 × 10⁴ feet.
Answer:
the short answer would be A
Step-by-step explanation:
Hi, i would really appreciate if someone helped me out!
A corner store sells two kinds of baked goods: cakes and pies. A cake costs $11 and a pie costs $10. In one day, the store sold 11 baked goods for a total of $117. How many cakes did they sell?
Answer:
7cakes and 4 pies
Step-by-step explanation:
.
If a shape is a square, then it is a rhombus.
Answer:
Yes every square is a rhombus, but not every rhombus is a square
Step-by-step explanation:
Which of the following best describes the English expression fourteen less
than the quantity of a number plus one?
A. (1 - x) +14
O B. 4 - 1
O C. (x + 1) - 14
D. (x - 1) +14
Answer:
c
Step-by-step explanation:
Question 13
Find the value of x.
[tex] \sqrt{47} [/tex]
whats the answer
Step-by-step explanation:
[tex]\sqrt {47}[/tex]
[tex] \frac{100}{1} = {10}^{x} [/tex]
10 points
1. The retail price of an electric toothbrush is $40. What is the price after
a markdown of 30%?*
Answer:
The answer is 12
Step-by-step explanation:
what is the answer??
Answer: x = -3 + √3 or x = -3 - √3
Step-by-step explanation:
X²+6x+6
now breaking 6x into 2x and 3x we get ,
X²+3x+2x+6
taking x common and 2 common we get ,
x(x+3)+2(x+3)
taking (x+3) common
(x+3) (x+2)
so comparing with zero to get values of x ,
either
x+3=0
x=-3
or x+2=0
x=-2
4. Two times a number added to another number is 25. Three times the first number minus the other number is 20. Find the two numbers.
Answer:9 & 7
Step-by-step explanation:
Let x be the first number and y be the second.
2x + y = 25
3x - y =20
1) Add them together.
5x = 45
x = 9
2) Solve for y.
2(9) + y = 25
y=7
3) Check your work on the other equation.
3(9) - (7) = 20
27 - 7 =20
20 = 20
The square of 356 is 126,736 and the square of 357 is 127,449. What is 3582? Try to solve this problem without multiplying. Show your work.
Answer:
The problem to get 358² is solved by adding 357 twice and then add 1 to the value of 357²
Step-by-step explanation:
The given information are;
The square of 356 = 126,736
The square of 357 = 127,449
We note that 357² = (356 + 1)² = 356² + 2×356 + 1 = 126,763 + 712 + 1 = 127,449
We can write the above equation as follows;
357² = (356 + 1)² = 356² + 356 + 356 + 1 = 126,763 + 712 + 1 = 127,449
357² = 127,449
Similarly, we have;
358² = (357 + 1)² = 357² + 357 + 357 + 1 = 128,164
358² = 128,164
We can also look at the question as forming squares with tiles
To form the square tile with 358 units per side, we add an extra row and column of 357 tiles each. Completing the figure with an extra tile at the top right or left corner
Therefore, the area of the 358 unit per side square = The area of the 357 unit per side + 357 + 357 + 1 = 128,164
Please help i dont understand
Answer:
5
Step-by-step explanation:
find the measure
Questions in the photo. Please HELP!
Answer:
Step-by-step explanation: its a
Answer:
No,
No
because every line has to equal 180. (for both of them)
The sum of three numbers is 79. The sum of five times the first number and two times the
second number increased by the third number is 859. Two time the first number, increased by
three times the second number plus nine times the third number is 498. Write a system.
Answer:
(x+y+z)=79
5x+2y+z=859
2x+3y+9z=498
Step-by-step explanation:
Its writing 3 different equations that have the same value for the same variable.
Last week, a GameStop store sold some $43 games and some $30 games for a total of
$485. What was the total number of games sold?
Explain your reasoning.
Answer: The total number of games sold by the GameStop is 14. That is 5 games of $43 and 9 games of $30.
Step-by-step explanation:
Considering some games of $43 were sold and others for $30 were also sold in arriving at the total of $485 sold.
If 5 games of $43 were sold it gives $215.
To get the difference, you subtract the amount sold for $43 from the total.
$485 - $215 = $270
To arrive at how many $30 games were sold;
$270 ÷ $30 per game = 9 games
Therefore, 5 games of $43 combined with 9 games of $30 gives a total of 14 games.
What is the result when x4 – 723 – 13x2 – 2x + 7 is divided by x + 1? If there is
r(2)
a remainder, express the result in the form q(x) +
b(a):
Shanice's Bakery makes two types of wedding cakes: Pink cake, which sells for $30, and Yellow cake,
which sells for $35. Both cakes are the same size, but the decorating and assembly time required for the
Pink cake is 2 hours, while the time is 3 hours for the Yellow cake. There are 420 hours of labor available
for production. How many of each type of cake should be made to maximize revenue?
Answer:
210 Pink cakes and 0 Yellow cakes
Step-by-step explanation:
Since the Yellow cake takes about %33.3 more time to prepare but only about %16.6 more revenue, it's always more profitable to make Pink cakes.
True or false? You can rely solely upon induction to prove that your conclusion is correct
Answer:
false
Step-by-step explanation:
Answer:
false you will need more info
Step-by-step explanation:
HHHHHHEEEEEEEEELLLLLLLLLPPPPPP
Answer:8 over 4
Step-by-step explanation:
Rise over run
please help me quickly the question is on the image
Simply the expressions
n-7-4n
Answer:
-3n-7
Step-by-step explanation:
n-7-4n
and then u combine like terms and u get
-3n-7
Answer:
-3n-7
Step-by-step explanation:
n also means 1n
Samantha paid $10 to join an online book club. Then she paid $3 per e-book that she read. She has spent more than $40. How many e-books did she read? Show how you would set the problem up and the answer. * Your answer Submit Jer submit passwords through Google Forms. This form was created inside of River Grove School District 85.5. Report Abuse
Answer:
13/13.3 or 10
Step-by-step explanation:
You said she paid $10 to join, if she spent at least $40, then we subtract 10, then divide 30 by 3 then you would get 10.
If we don't have to subtract and she spent around $40 on only books, it would be 13/13.3
Find the area of the shape
The price of stock market in at 9 AM was 13.17 then the price has been increasing at a rate of 0.11 each hour at noon the price of stuff he was 13.67 it begins to decrease at the rate of 0.12 each hour if the two rates continue and how many hours were the prices of the two stocks with the same
Answer:
2.26 hours
Step-by-step explanation:
Given that:
Stock 1:
Initial price = 13.17
Rate of increase = $0.11 per hour
13.17 + 0.11h - - - (1)
Stock 2 :
Initial price = 13.69
Rate of decrease = 0.12 per hour
13.69 - 0.12h - - (2)
13.17 + 0.11h = 13.69 - 0.12h
0.11h + 0.12h = 13.69 - 13.17
0.23h = 0.52
h = 0.52 / 0.13
h = 2.26 hours
I need some help with geometry.
Answer:
x = 17, angle 1 and 2 = 45
Step-by-step explanation:
need help, plz answer
Answer:
55 r5
Step-by-step explanation:
Answer:
390/7=55 with a remainder of 5.
Step-by-step explanation:
we can get this answer by subtracting fifty-five sevens from three-hundred ninty.
390-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7-7=5