Answer:
Step-by-step explanation:
Im sorry but you have to upload ur own pic
An empty fuel tank is filled using a cylindrical pipe with diameter 8 cm. Fuel flows along this pipe at a rate of 2 metres per second. It takes 24 minutes to fill the tank. Calculate the capacity of the tank. Give your answer in litres.
The capacity of the tank is 7234.56litres
What is capacity of a tank?Capacity refers to the amount of fluid a container can hold. It expressed in units like litres (l), millilitres (ml). Capacity is also known as volume of a substance.
The capacity of the cylindrical pipe is
V = πr²h
r = 8cm
if it takes the pipe 2m per second
then it's volume in one second is
V = 3.14 ×8 × 2× 100
V = 5024cm³/s
if it takes 24 minutes
24 minutes = 24 × 60 s
= 1440s
therefore volume of the tank = 1440 × 5024
= 7234560cm³
in litres = 7234560/1000
= 7234.56litres
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Please help me I don’t understand how this can be only 1
In this case the equation has one solution.
A value of x that makes the equation true is -3, which when substituted into the equation and simplified makes the equation turns into -5=-5.
A value of x that makes the equation false is 1, which when substituted into the equation and simplified makes the equation turns into 15=-5.
given , which of the following is true? f(x) is decreasing for all x < 6 f(x) is increasing for all x > 6 f(x) is decreasing for all x < 3 f(x) is increasing for all x < 3
The given function f(x) = (x + 6)/(x² - 9x + 18) is
(a) increasing on: (-6 - 6√3, 3), (3, -6 + 6√3)
(b) decreasing on: (-∞, -6-6√3), (-6+6√3,6), (6, ∞)
How to find the increase or decrease of a function?To find the increase in a function, the function f(x) is to be derivated and the derivative must be greater than 0. I.e,
f'(x) > 0
To find the decrease in a function, the function f(x) is to be derivated and the derivative must be less than 0. i.e.,
f'(x) < 0
Calculation:The given function is f(x) = (x + 6)/(x² - 9x + 18).
Its graph is shown below.
To find the increase or decrease in the function, we need to derivate it.
So,
f'(x) = d/dx{(x + 6)/(x² - 9x + 18)}
Applying d/dx(u/v) = (vu'-uv')/v²
So, on derivating the given function, we get
f'(x) = (x²+12x+72)/(x²-9x+18)²
= (x - (-6 + 6√3)) (x- (-6 - 6√3))/(x - 3)²(x - 6)²
For f'(x) > 0
The intervals that satisfy the given function for increasing are
(-6 - 6√3, 3), (3, -6 + 6√3)
For f'(x) < 0
The intervals that satisfy the given function for decreasing are
(-∞, -6-6√3), (-6+6√3,6), (6, ∞)
So, from the graph and the roots obtained, we can write,
The function f(x) decreases on: (-∞, -6-6√3), (-6+6√3,6), (6, ∞) and increases on (-6 - 6√3, 3), (3, -6 + 6√3).
Of the options none of them are correct.
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Homework Help! ASAP
Question: A 64-ounce bottle of apple juice cost $5.76. A 15-ounce bottle of apple juice costs $1.80. Which item costs less per ounce?
Write the rate for each bottle 64-ounce bottle:
15-ounce bottle:
b. Write the unit rates.
c. Which item cost less per ounce?
A bag contain 50¢, 25¢ and 10¢ coins in the ratio 5 : 9 : 4, which amounts to $206. The number of coins of each type are
The number of 50¢ coins is 200, number of 25¢ coins is 360
and number of 10¢ coins is 160.
What is ratio?The quantitative relation between two or more amounts showing the number of times one value is contains or contained within other.
Now the given ratio is 5 : 9 : 4.
and total amount of the coins is $206.
There are three types of coins in the bag, 50¢, 25¢ and 10¢.
Suppose x be the the ratio of coins in the bag.
Hence, number of 50¢ coins = 5x
number of 25¢ coins = 9x
number of 10¢ coins = 4x
Now, given total amount = $206
and since $1 = 100¢
⇒ ($0.5)(5x) + ($0.25)(9x) + ($0.1)(4x) ¢ = $206
Solving them,
⇒ 2.5x + 2.25x + 0.4x = 206
⇒ 5.15x = 206
⇒ x = 40
Therefore,
number of 50¢ coins = 5*40 = 200
number of 25¢ coins = 9*40 = 360
number of 10¢ coins = 4*40 = 160
Hence, number of 50¢ coins is 200, number of 25¢ coins is 360
and number of 10¢ coins is 160.
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After training Naruto went to a ramen shop for dinner. Since Naruto eats ramen for lunch and dinner daily, the shopkeeper gives him a 33.33% discount. If ramen costs 45 cents, how much does Naruto spend in 15 days?
Points given: 20
To calculate how much Naruto spends on ramen in 15 days, we need to determine the total cost of ramen per day and then multiply it by 15.
Since Naruto receives a 33.33% discount, he pays 100% - 33.33% = 66.67% of the original price.
66.67% of 45 cents is (66.67/100) * 45 = 30 cents.
So, Naruto spends 30 cents on ramen per day.
To find out how much he spends in 15 days, we multiply the daily cost by the number of days:
30 cents * 15 = 450 cents.
Therefore, Naruto spends 450 cents, which is equivalent to $4.50, on ramen in 15 days.
I WILL BRAINLEST THE FIRST CORRECT PERSON TO ANSWER THIS * view image*
Answer:
11 22 333 444 66% 88 have a blessed day and get 100% ok
Step-by-step explanation:
name the quadrilateral with 2 pairs of consecutive congruent sides with diagonals that meet at a right angle
The quadrilateral you're describing is a Kite. A kite is a quadrilateral with two pairs of consecutive congruent sides, and its diagonals meet at a right angle.
what would be the answer to this (9-3×2)²
144?
9
Step-by-step explanation:
PEMDAS
inside parentheses we have 3*2 = 6
9-6 =3
3^2 = 9
angle Y is inscribed in the circle below. the measure of arc XZ is 205°
SOLUTION:
Case: Circle theorems
Method:
The angle subtended at the center by the arc XZ is twice the value at the circumference at Y
\(\begin{gathered} m\angle XOZ=2\times m\angle XYZ \\ 205=2\times Y \\ Y=\frac{205}{2} \\ Y=102.5\degree \end{gathered}\)Final answer:
102.5 degrees
Please help thank you so much math experts !
Answer:
Step-by-step explanation:
1) with the angle 120degrees, we know that external angles on a pair of parallel lines are the same. we can give this as an equation
120 = x + 130
re arrange to make x the subject
so subtract 130 on both sides
120-130=x
-10=x
x=-10
2) Corresponding angles in between parallel lines are the same. we can write this as
15x = 75
rearrange to make x the subject
x = 75 ÷ 15
x = 5
3)Internal angles inbetween parallel lines add to 180, so we can turn this into an equation
14x - 3 = 85
14x = 88
x = 88 ÷ 14
x = 6.285714 or just 6.29
PLEASE HELP!!!!!!
The box plot displays the number of flowers planted in a town last summer.
10
Flowers Planted In Town
13 14 15 16 17 18 19 20 21 22 23 24
Number of Flowers
Which of the following is the best measure of center for the data shown, and what is that value?
O The mean is the best measure of center and equals 12.
O The mean is the best measure of center and equals 10.
The median is the best measure of center and equals 12.
30 31
The median is the best measure of center and equals 10.
The best measure of center for the data shown is the median, and its value is 17.
The median is the best measure of center for the given data set. To find the median, we arrange the numbers in ascending order:
10, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24
Since the data set has an odd number of values, the median is the middle value, which in this case is 17.
Therefore, the best measure of center for the data shown is the median, and its value is 17.
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PLEASE HELP
Two projectiles are shot vertically upward at the same instant.
Projectile A's height in feet, f(t), is represented in the table, where t is the seconds since the projectile was shot off
Projectile B's height at any time t is modeled by the function
h (t)=-16t^2 +96t
How do the times at which the projectiles begin their descents compare?
SEE PHOTO
Projectile B begins its descent 1 seconds before Projectile A does.
What is y-intercept?In Mathematics and Geometry, the y-intercept of any graph or table such as a quadratic equation or function, generally occurs at the point where the value of "x" is equal to zero (x = 0).
By critically observing the table shown in the image attached above, we can reasonably infer and logically deduce the following y-intercept of Projectile A:
y-intercept = (0, 44).
Maximum height = (4, 300).
When t = 0, the y-intercept of Projectile B can be calculated as follows;
h(t) = -16t² + 96t
h(0) = -16(0)² + 96(0)
h(0) = 0.
For the maximum height, we have:
h(t) = -16t² + 96t
h'(t) = -32t + 96
32t = 96
t = 96/32
t = 3
Difference in time = 4 - 3
Difference in time = 1 seconds.
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Round 290,200 to the nearest hundred thousand
Find the total surface area of a cylinder shown below use 3.14 for pi and provide the answer accurate to two decimal places
Answer:
it is probably 1.884 cm andd it is accurate
I need help on this please.......
Answer:r;kf mf
Step-by-step explanation:r;kwmew
Answer:
Your answer is A
Step-by-step explanation:
You have to multiply all the coordinates by 5
Hope this helps
plz mark brainliest
En una plaza Lucio camina en tramos rectos, a partir del asta bandera, en un punto cambia la dirección girando 150º a su izquierda, avanza 64 metros y se detiene. Para regresar al asta tiene que girar 75º a la izquierda, ¿A qué distancia se encuentra del punto inicial?
Lucio is 64 meters from the starting point.
How to solveThe square has four sides of equal length, so Lucio has walked half the length of one side.
To return to the starting point, he needs to walk the other half of the side, which is 64 meters.
The angle Lucio turns is irrelevant, as long as he turns 180 degrees in total.
With this in mind, it can be seen that based on the parameters and the conditions, Lucio is 64 meters from the starting point because the angle to which he turns is irrelevant.
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The question in English:
In a square Lucio walks in straight sections, starting from the flagpole, at one point he changes direction turning 150º to his left, advances 64 meters and stops. To return to the pole you have to turn 75º to the left. How far are you from the starting point?
Solve for x x-23=17 NEED TO KNOW FAST PLEASE!!!!
Answer:
x = 40
Step-by-step explanation:
Adding 23 to both sides gives us:
x - 23 + 23 = 17 + 23
x = 40
Answer:
\( \boxed{ \bold{ \bold{ \sf{x = 40}}}}\)Step-by-step explanation:
\( \sf{x - 23 = 17}\)
Move constant to right hand side and change it's sign
\( \sf{x = 17 + 23}\)
Add the numbers
\( \sf{x = 40}\)
Hope I helped!
Best regards!!
Let f(x)=4x. Let g(x)=4x+2. Which statement describes the graph of g(x) with respect to the graph of f(x)? Responses g(x) is translated 2 units right from f(x). g open argument x close argument, is translated 2 units right from , f open argument x close argument, . g(x) is translated 2 units left from f(x). g open argument x close argument, is translated 2 units left from , f open argument x close argument, . g(x) is translated 2 units up from f(x). g open argument x close argument, is translated 2 units up from , f open argument x close argument, . g(x) is translated 2 units down from f(x).
The true statement about the transformation is (c) g(x) is translated up 2 units compared to f(x)
How to describe the transformation from the parent function?From the question, we have the following functions
f(x) = 4x
g(x) = 4x + 2
First, we have the transformation to be:
From f(x) = 4x to g(x) = 4x + 2
This means the function is translated up
The number of unit of translation is represented as
Unit = g(x) - f(x)
Next, we have:
Unit = 4x + 2 - 4x
Evaluate
Unit = 2
This means the function is translated up by 2 units
Hence, the transformation is (c)
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carpet is sold in square yards how much carpet would a person need to buy for a rectangle that has dimensions of 10 yards by 18 feet
A person would need to buy 60 square yards of carpet for a rectangular room with dimensions of 10 yards by 18 feet.
How to determine the amount of carpet needed for a rectangular room?
To determine the amount of carpet needed for a rectangular room, you need to convert the measurements to the same unit of measurement. Since the carpet is sold in square yards, we need to convert the dimensions of the room to yards.
The length of the room is given in yards, so we don't need to make any conversions for that dimension. However, the width of the room is given in feet, so we need to convert it to yards by dividing by 3 (since there are 3 feet in a yard),
18 feet ÷ 3 feet/yard = 6 yards
So the dimensions of the room in yards are 10 yards by 6 yards.
To find the total area of the room, we need to multiply the length and width,
10 yards × 6 yards = 60 square yards
Therefore, a person would need to buy 60 square yards of carpet for a rectangular room with dimensions of 10 yards by 18 feet.
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The area of a rectangle is 3x2 - 12x square yards. If the width is 3x yards, what is the length of the rectangle?
Answer:
x - 4 yards.
Step-by-step explanation:
Given:
Area of rectangle = 3x^2 - 12x square yards
Width = 3x yards
To find:
Length of rectangle
Solution:
The area of a rectangle is equal to the product of its length and width.
Area of rectangle = Length * Width
Substituting the given values, we get:
3x^2 - 12x = Length * 3x
Length =( 3x^2 - 12x )3x
Length = x-4
Therefore, the length of the rectangle is x - 4 yards.
Answer: The length of the rectangle is x - 4 yards.
Step-by-step explanation:
We can create an equation to solve this word problem, where the variable L = length.
3x × L = \(3x^2 - 12x\)
We need to solve for the variable L, to find the length of the rectangle.
First lets factor the right side of the equation to make it easier to divide with.
3x × L = \(3x^2 - 12x\)
We can factor out 3x from the right side of the equation.
3x × L = 3x(x - 4)
Now we need to get the variable L by itself (isolating the variable). In order to do that, we can divide both sides by 3x.
3x × L = 3x(x - 4)
/3x /3x
L = x - 4
The length of the rectangle is x - 4 yards.
Mathematics word problem
75 miles per hour is the rate of train.
what is the formula of speed?Formula of speed = distance/time
let,
s1 , speed of A train = s
s2, Speed of B train = s
t1, time of travel for train A = 2.5h
t2, time of travel for train B = 4 h
d1, distance traveled by train A
distance travel by train A = speed*time
= s1*t1
d2, distance traveled by train B
distance travel by train A = speed*time
= s2*t2
Total distance between station A and station B = 562.5 mi
d1+d2=562.5 mi
s1t1+s2t2=562.5
s(2.5)+s(4)=562.5
6.5 s = 562.5
s = 562.5/6.5
s = 86.5 mph
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75 miles per hour is the rate of the train.
what is the rate of the train?Given:
Train A and Train B leave a central station at the same time.They travel at the same speed, but in opposite directions, with train A heading towards station A.Train B heading towards station B.Train A reaches station A after 2 and 1/2 hours.Train B reaches station B after 4 hours.Station A and Station B are 585 mi apart.Find:
Rate of the trains.Solution:
Formula of speed = distance/time
Let us consider
Speed of A train(s1) = s
Speed of B train(s2) = s
Time of travel for train A(t1) = 2.5h
Time of travel for train B(t2) = 4 h
Distance traveled by train A(d1)
= speed*time
= s1*t1
Distance traveled by train B(d2)
= speed*time
= s2*t2
The total distance between station A and station B = 562.5 mi
d1+d2=562.5 mi
s1t1+s2t2=562.5
s(2.5)+s(4)=562.5
6.5 s = 562.5
s = 562.5/6.5
s = 86.5 mph
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Study these equations:
f(x) = 2x – 4
g(x) = 3x + 1
What is h(x) = f(x)g(x)?
h(x) = 6x2 – 10x – 4
h(x) = 6x2 – 12x – 4
h(x) = 6x2 + 2x – 4
h(x) = 6x2 + 14x + 4
Answer:
6x2-10x-4
Step-by-step explanation:
hx=(2x-4)(3x+1)
hx=2x(3x+1)-4(3x+1)
hx=6x2+2x-12x-4
hx=6x2-10x-4
bác lan thu hoạch được 10 tạ gạo nếp và 1,5 tấn gạo tẻ. hỏi bác lan thu được tất cả bao nhiêu tạ gạo
Answer:
I Don't understand please
Which of the following are considered income?
Select all that apply.
student loan interest
wages
credit card interest
allowance
Answer:
Wages
Step-by-step explanation:
Answer:
2. Wages
4. Allowance
Step-by-step explanation:
very simple question I wish I saw this earlier so I could help. Can I please get brainliest.
尺蛾翅蛾。(thank you.)
PLEASE HELP! I NEED THIS QUICKLY!
The number of ounces of chocolate chips per batch of cookies can be represented with the equation y = 6x, where y represents ounces of chocolate chips and x represents batches of cookies.
Determine how many batches of cookies can be made using 45 ounces of chocolate chips.
A. 270 batches
B. 51 batches
C. 7.5 batches
D. 6 batches
Answer:
c
Step-by-step explanation: if you plug it in 45=6x
Which then equals 7.5
Answer:
c. 7.5 batches
Step-by-step explanation:
plug in 45 for the y value
45=6x
divide both sides by 6 to isolate the x
45/6= 7.5
so you would have 7.5 batches because x represents batches of cookies
Need help for this
Answer:
\(1. a=-10\)
\(2. b=-0.2\)
\(3. c=0.25\)
Step-by-step explanation:
1. 1/5a = -2
a=-10
2. 8+b=7.8
b=-0.2
3.-0.5=-2c
c=0.25
:]
(Brainliest would help a lot) Tell me if this is incorrect!
4. Chelsea determined that the value of x in the triangle at the right was 5.
a. Find the value of each angle by substituting 5 for x.
b. Was Chelsea's solution, x = 5, correct? How do you know?
15x
x
11x
(8x+5)
Z
Step-by-step explanation:
a) 11*5=55
15*5=75
8*5+5=45
b) No, because (55+75+45=175°) and the perimeter of a triangle is 180°
HELP PLEASE ASAP 55 POINTS I BEG YOU!!!!!!
A store had a three-day sale. On the first day the store sold 1 bicycle, 3 tricycles, and 1 unicycle for a total of $561. On the second day, 7 bicycles and 1 tricycle were sold for a total of $906. And at the third day, 2 bicycles, 7 tricycles, and 5 unicycles were sold for a total of $1758.
Set up a system and use row reduction to find the price of each item
Answer:
Bicycle : $117
Tricycle : $87
Unicycle : $183
Step-by-step explanation:
Write a system of equations:
x + 3y + z = 561
7x + y = 906
2x + 7y + 5z = 1758
Where:
x = price of bicycle
y = price of tricycle
z = price of unicycle
Solve for x, y, and z.
The temperature of a city doubles during the day, and then decreases by 14.1ºF after the sun goes down. The temperature at the end of the day is −1.7°F. What was the temperature at the beginning of the day? Enter your answer in the box.
The temperature at the beginning of the day was 6.2°F
Let x represent the temperature at the beginning of the day.
Since, the temperature of a city doubles during the day, and then decreases by 14.1ºF after the sun goes down, hence:
Temperature at end of day = 2x - 14.1
Also, the temperature at the end of the day is −1.7°F, hence:
2x - 14.1 = -1.7
2x = 12.4
x = 6.2°F
The temperature at the beginning of the day was 6.2°F
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Answer:
16.2
Step-by-step explanation: