Answer:
16.86 ft/s
Step-by-step explanation:
Given that,
Angular speed of a carousel, [tex]\omega=14\ rev/min[/tex]
The diameter of the carousel, d = 23 feet
We need to find the speed of the carousel and jump on.
[tex]\omega=14\ rev/min=1.46\ rad/s[/tex]
Radius, r = 11.5 feet
Let v is the velocity. So,
[tex]v=r\omega\\\\=11.5\times 1.46\\\\=16.79\ ft/s[/tex]
Hernce, the correct option is (d) "16.86 ft/s"
correctly factor the expression 15a-6b+36 using the greatest common factors
Answer:
3 ( 5a - 2b + 12)
Step-by-step explanation:
15 = 3 * 5
6 = 2 * 3
36 = 2 * 2 * 3 * 3
GCF = 3
15a - 6b + 36 = (3* 5 * a) - (3 *2 * b) + (3 * 12)
= 3 ( 5a - 2b + 12)
Answer:
3 ( 5a - 2b + 12)
Step-by-step explanation:
15 = 3 * 5
6 = 2 * 3
36 = 2 * 2 * 3 * 3
GCF = 3
15a - 6b + 36 = (3* 5 * a) - (3 *2 * b) + (3 * 12)
= 3 ( 5a - 2b + 12)
find the slope of the line on the graph. write your answer as a fraction or a whole number, not a mixed number or decimal.
ABCD is a rectangle. The length of AC is 3x - 1. The length of BD is 2x + 5.
What is the length of AC?
a.3
b.6
c.13
d.17
Answer:
C.13
Step-by-step explanation:
True or false that integers can be negative numbers
Answer:
true
Step-by-step explanation:
Please help!!! Thanks
Math problem
Answer:
67
Step-by-step explanation:
(5-2)180
=540
540-131-105-153-84
=67
enter the value of x. the diagram is not to scale
Answer:
Sorry i cant help
Step-by-step explanation:
what is 52.03 squared?
Answer:
It is 2707.1209
Step-by-step explanation:
4.
3. A full container of juice holds 64 fluid
ounces. How many 7-fluid ounce servings
of juice are in a full container?
Answer:
9.1 or 9.1 ≈ 9
Step-by-step explanation:
All you have to do is divide 64/7 which gives you the number of containers.
Hope this helps!
Which of the following shows the correct sums that would be found when clustering is used to find the answer to the problem 34 x 12?
340 + 68 = 408
340 + 34 = 374
340 + 68 = 398
300 + 8 = 308
The first option is correct.
The calculation is as follows:if we multiply the 34 and 12 so it comes 408
And according to first option, it we add 340 and 68 so it comes 408.
Learn more: brainly.com/question/16911495
Calculate the simple interest on $600 left in account that pays 7% annual interest for 8 years.
Answer:
S = $336
Step-by-step explanation:
Given the following data;
Principal, P = $600
Rate, R = 7
Time, T = 8 years
To find the simple interest?
Mathematically, it is given by the formula;
Simple interest, S = (P*R*T)/100
Substituting into the equation, we have;
S = (600*7*8)/100
Simplifying the equation, we have;
S = 6*7*8
S = $336
Nya buys tea for $3.51 and juice for $2.28. estimate how much more she spends on tea than juice
1. Between $1 and $2
2.Less than $1
3. Between $2 and $3
Answer:
1
Step-by-step explanation:
First round up (or down) the prices for the tea and juice.
3.51 --> $4
2.28 --> $2.3 or $2
4-2.3=1.7
4-3= 1
$1-$1.7
You can buy a box of 150 Sharpie pens for $165 or a dozen for $13.50. Which one is the better deal?
what is the smallest six-digit number you can make that is divisible by five
it's 100000
hope this helps!! :)
Find the area of the Compound shape
The answer is 45 m^2
I just need the steps....
Answer:
45 cm^2
Step-by-step explanation:
Dividing the shape into the two separate components of a square and a triangle makes it easier.
The square area is found by multiplying the side by the side, 6cm*6cm which gives us 36cm^2.
Then the triangle the height is 3cm and the base is 6cm. Using the formula 1/2*base*height.
Which would be 1/2*6*3=9cm^2.
Adding the two, 9+36= 45cm^2.
can u pls help me with this question
Answer:
7.65
Step-by-step explanation:
The total cost for 8 is 20.40, so you want to find what the cost for one panel is by dividing the total cost by the amount, which would be 20.40/8=2.55 then you want to know how much 3 of them cost, to find that you just multiply the cost of one of them by three, which would be 7.65
Ramon would like to plant a garden where each row has the same combination of plants. If
Ramon has 27 tomato plants, 15 cucumber plants and 6 basil plants, what is the greatest number of rows the garden can have if Ramon uses all of the plants?
Answer:
48
Step-by-step explanation:
The greatest number of rows that can be formed in the garden will be 3.
What is the highest common factor?The Highest Common Factor (HCF) of two numbers is the highest possible number that is divisible by both numbers.
In other words, the highest common factor is the common factor between the two numbers but it should be the highest among all common factors.
As per the given,
Ramon has 27 tomato plants, 15 cucumber plants, and 6 basil plants.
Factors of 27 = 1, 3, 9, and 27.
Factors of 15 = 1, 3, 5 and 15
Factors of 6 = 1, 2, 3 and 6
The GCF of 27,15 and 6 is 3.
Thus, only three raws are possible.
Hence "The greatest number of rows that can be formed in the garden will be 3".
To learn more about the highest common factor,
https://brainly.com/question/128394
#SPJ2
if 8 sugar cost 260 how much sugar can be brought for 877.500
Answer: 27 kg of sugar can be bought for Rs. 877.50.
Step-by-step explanation:
Answer:
you could buy 28518.75 sugar for 877.500
Step-by-step explanation:
260 / 8 = 32.5
this gives you how much it cost per 1 (units)
32.5 * 877.50 = 28518.75
A number N divided by -9 is -16
Answer: no
Step-by-step explanation:
algebraic expression for "a number , n, divided by 4 is 4. I
round 7, 488 to the nearest thousands
Answer:
7,000
Step-by-step explanation:
You would round up if the next number (next to the thousands, I mean) is 5 or more, and round down if it is less than 5.
Answer:
7,488 = 7,000
Step-by-step explanation:
ANSWER THE QUESTION PLEASE & THANK YOU ! Show that the equation y +2 = 2(3x + 1) is linear and that it represents a proportional relationship
between x and y.
Part 1 out of 4
y +2=2(3x + 1)
y +2=
JX +
✓ Check
Next
Answer:
y+2=6x+2
Step-by-step explanation:
[tex]y+2=2(3x+1)\\y+2=6x+2\\y=6x+2-2\\y=6x[/tex]
Since the exponent/degree of x and y both the variables are 1 the equation is linear and y=6x represents a proportional relationship between x and y
Anybody Know This. ?
Answer: 4 feet
Step-by-step explanation:
In order to determine the length of side, we need to use what is called the Pythagorean theorem, which states: a² + b² = c² The a and b in this equation are both of the sides of the triangle that we call legs. (I have attached a picture for reference if you do not know what sides I am referring to). The c in this equation refers to the hypotenuse of the triangle. (Again, please refer to the attached photo).
So now, we need to plug in the information we already know into this equation. The height of the ramp will be our a and the distance from the box will be our b. We can see that the hypotenuse (c) is labeled as 5, so we can fill in that information in our equation.
a²+b²=5² (simplify by squaring the 5)
a²+b²=25
Next, we know that the height of the box is 3 feet, which let's us know that our a is 3. Let's plug this new information in.
3²+b²=25 (simplify by squaring the 3)
9+b²=25 (simplify by substracting the 9 from both sides)
25 - 9 = 16b²=16
Hey! Now our equation looks much simpler! Now, all we need to do it square root both of the sides in order to get b by its self.
b²=16
√b² = b
√16 = 4
Final answer: b = 4
I truly hoped this explanation helped! If you feel you still need a bit of help, David May explains the Pythagorean theorem very well in his video titled, "Find The Hypotenuse Using Pythagorean Theorem | Dave May Teaches" if you would like to check it out. Take care! :)
What is 14.724 rounded by the nearest hundredth
Answer:
14.72
Step-by-step explanation:
Is this relation a function?
(2, -3), (-4, 2), (6,2), (-5, -3), (-3,0)
Answer:
no it is not because two different input values have the same output
Step-by-step explanation:
Answer:
Yes it is a function... Because we have output for each input
If the diameter of the circle is 24 cm, find its area correct to one decimal place.
A= ______ cm2
Answer:
A=pi times radius squared
24/2= 12 is the radius (since it's half of diameter)
A=pi times 12 squared
12 squared is 12 times 12 which is 144
A=pi times 144
A=452.389342
Rounded to 452.4
2(3x-(2x-3(3x+1)+5x)
Answer: Is the answer is 10x+6? You didn’t even show what can I do for your math expression, I thought it was simplified expression.
Step-by-step explanation:
which branch of maths includes the most of other branches symbols/functions ect.
Answer:
Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables.
Step-by-step explanation:
Find the slope of the lines that passes through the points (-8,-11) and (17,4).
Answer:
[tex]\displaystyle m=\frac{3}{5}[/tex]
Step-by-step explanation:
The slope of a line.
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points (-8,-11) and (17,4).
[tex]\displaystyle m=\frac{4+11}{17+8}[/tex]
[tex]\displaystyle m=\frac{15}{25}[/tex]
[tex]\mathbf{\displaystyle m=\frac{3}{5}}[/tex]
i need help asap math sucks and is hard
8th grade math
Answer:
Slope = [tex]\frac{-1}{3}[/tex]
Step-by-step explanation:
(x₁ , y₁) = (-9 , -4) & (x₂ ,y₂) = (-3, -6)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{-6-[-4]}{-3-[-9]}\\\\= \frac{-6+4}{-3+9}\\\\= \frac{-2}{6}\\\\= \frac{-1}{3}[/tex]
Find the slope (0,0) and (4.16)
Find the slope (0,0) and (4,8)
Answer:
first one is 4
second is 2
Step-by-step explanation:
let me know if you need to show work
Answer:
first one is 4, 2nd one is 2
Step-by-step explanation:
$46 for 5 toys
$ / toy
Answer:
$9.20 for 1 toy
Step-by-step explanation:
If it's $46 for 5 toys, we can divide both $46 and 5 to get $9.20 for 1 toy.