Answer:
The greatest common factor (GCF) of the two numbers is 330.
Step-by-step explanation:
Given;
prime factors of the two numbers = 2, 3, 5, and 11
The greatest common factor (GCF) of the two numbers is given as;
Greatest Common Factor (GCF) = 2 x 3 x 5 x 11
Greatest Common Factor (GCF) = 330
Therefore, the greatest common factor (GCF) of the two numbers is 330.
Answer:
330
Step-by-step explanation:
An "extreme" pogo stick utilizes a spring whose uncompressed length is 46 cm and whose force constant is 1.4 x 104 N/m. A 60-kg person is jumping on the pogo stick, compressing the spring to a length of only 5.0 cm at the bottom of their jump. Which is the upward acceleration of the person at the moment the spring reaches its greatest compression at the bottom of their jump?
a. 96 m/s^2
b. 86 m/s^2
c. 976 m/s^2
d.860 m/s^2
Answer:
B. [tex]86\,\frac{m}{s^{2}}[/tex]
Step-by-step explanation:
From Newton's Laws of Motion, the spring is compressed against effects of weight of the person and as sping force is a restitutive force, the net force experimented by person is different from zero. By applying Second Newton's Law, we get this equation of equilibrium on person:
[tex]\Sigma F = k\cdot \Delta x -m\cdot g = m\cdot a[/tex] (Eq. 1)
Where:
[tex]k[/tex] - Spring constant, measured in newtons per meter.
[tex]\Delta x[/tex] - Change in the length of spring, measured in meters.
[tex]m[/tex] - Mass of the person, measured in meters.
[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.
[tex]a[/tex] - Net acceleration of the person, measured in meters per square second.
Now we proceed to clear net acceleration:
[tex]a = \frac{k}{m}\cdot \Delta x -g[/tex]
If we know that [tex]k = 1.4\times 10^{4}\,\frac{N}{m}[/tex], [tex]m = 60\,kg[/tex], [tex]\Delta x = 0.41\,m[/tex] and [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], the acceleration of the person when spring reaches its greatest compression at the bottom of their jump is:
[tex]a = \frac{1.4\times 10^{4}\,\frac{N}{m} }{60\,kg} \cdot (0.41\,m)-9.807\,\frac{m}{s^{2}}[/tex]
[tex]a = 85.859\,\frac{m}{s^{2}}[/tex]
Which corresponds to option B.
Please help me if you know it thank you so much
Answer:
a) 9 beats
b) 9 beats per minute
c) y=9x
d) 180 times
Help!!! ASAP!!!
The sum of the areas of a polyhedron’s face is
A: Its perimeter divide by two.
B: its surface area.
C: its volume
D: non of these
Answer: The sum of the area of it's faces
Step-by-step explanation: its the surafce area.
A 100 mL vial of 25% solution is available in stock. An order is recieved for 6 g to be added to 250 mL of fluid for an iv infusion. Whats the total volume of the iv?
9514 1404 393
Answer:
274 mL
Step-by-step explanation:
Often medical solutions expressed as a percentage are not really a percentage as such. A percentage is the ratio of two quantities with the same units.
Here, the context given by the problem suggests the "25%" solution is really (25 g)/(100 mL). That is, the units are grams and milliliters--different units.
With that assumption, we want to find the volume (v) of solution needed to deliver 6 g of medicine. An appropriate proportion* is ...
v/(6 g) = (100 mL)/(25 g)
v = (6 g)(100 mL)/(25 g) = 24 mL
So, the total volume of the infusion is ...
250 mL +24 mL = 274 mL
_____
* The concentration is given in terms of g/mL, but we have used a proportion that is mL/g. The reason for that is we want the variable to be in the numerator of the ratio. The variable here represents volume, so we have written the proportion with volumes in the numerators.
Having the variable in the numerator means the equation can be solved in one step--by multiplying by its denominator.
Select all the expressions that are rational numbers.
a. 3.14159…
b. –9.1234567123…
c. –9.293847210103938…
d. 227
e. –26
Answer:
d,e
Step-by-step explanation:
rational numbers are positive and negative whole numbers.
Answer:
d,e
Step-by-step explanation:
Oct 16, 10:30:54 AM
A rocket is shot into the air. The function f (x) = -16x2 + 64x + 8 gives the
height of the rocket (in feet) as a function of the rockets horizontal distance from
where it was initially shot.
a. What was the initial height of the rocket when it was shot?
b. What is the maximum height the rocket reaches in the air?
a. The initial height of the rocket was
feet.
b. The maximum height the rocket reaches is
feet.
Answer:
A) 8 feet.
B) 72 feet
Step-by-step explanation:
We have the function [tex]f(x)=-16x^2+64x+8[/tex] which gives the height of the rocket (in feet) as a function of the rocket's horizontal distance.
Part A)
We want to find the initial height of the rocket when it was shot.
At the initial height, the rocket has not moved anywhere. So, the horizontal distance will be 0.
Therefore, to find the initial height, we will substitute 0 into our function. This yields:
[tex]f(0)=-16(0)^2+64(0)+8[/tex]
Evaluate:
[tex]f(0)=8[/tex]
Therefore, the initial height was 8 feet.
Part B)
Notice that our function is a quadratic.
Therefore, the maximum height will be given by the vertex of our quadratic.
To find the vertex, we use:
[tex](-\frac{b}{2a},f(-\frac{b}{2a}))[/tex]
Let's label our coefficients. We have [tex]-16x^2+64x+8[/tex]
Therefore, a=-16, b=64, and c=8.
Substitute them into the vertex formula to find the x-coordinate:
[tex]x=-\frac{64}{2(-16)}\\\Rightarrow x=64/32=2[/tex]
Now, to find the maximum height, substitute 2 back into our function f(x):
[tex]f(2)=-16(2)^2+64(2)+8[/tex]
Evaluate:
[tex]f(2)=-16(4)+64(2)+8\\\Rightarrow f(2)=-64+128+8\\\Rightarrow f(2)=72\text{ feet}[/tex]
Therefore, the rocket reaches a maximum height of 72 feet.
Robin Hartman earns $600 per week plus 3% of sales over $6,500. Robin's week sales are $14,000. How much does Robin earn
Answer:
$825
Step-by-step explanation:
Given that :
Weekly earning = $600 plus 3% of sales over $6500
If weekly sales = $14000
How much will Robin earn
Robin's earning will be:
Flat weekly pay + 3% of amount over 6500
$600 + 3%(weekly sales - 6500)
$600 + 0.03(14000 - 6500)
$600 + 0.03(7500)
$600 + $225
= $825
Find the perimeter of the figure.
7 mi
7 mi
Answer:
28mi
Step-by-step explanation:
The shape given is a square because all the internal angles are the same. Also, all the sides are equal;
The perimeter of a square is given as;
= 4L
Where L is the dimension of the sides
L in this problem is 7mi
Input the parameter and solve;
Perimeter = 4 x 7 = 28mi
Haseem was given the following enlargement.
6 cm
3 cm
5 cm
22.5 cm
Figures not drawn to scale.
What is the perimeter, in centimeters, of the enlarged triangle?
0 13.5
27
O 49.5
63
Answer: The answer is 63
Step-by-step explanation:
I’m sorry I don’t know how to explain but I got it right
Answer:
63
Step-by-step explanation:
57.99 The 9 in the hundredths place is _______ the value of the 9 in the tenths place.
Answer:The 9 in the hundredths place is 0.1x the value of the 9 in the tenths place.
Step-by-step explanation:
Every place going forward is 10x forward, so this means that every place going backwards is 0.1x.
Answer:
1/10th
Step-by-step explanation:
Please help ASAP! All questions.
Answer:
I think i don't really know its been awhile for me.
Step-by-step explanation:
But i think you do 2 x 10 and what ever you get from that you multiply by 5 and what get from that you divide by 24.
I may not be right.
So please don't hate i tried.
find 759 divided by 3
Answer:
253 .....is that it??
Step-by-step explanation:
Answer:
253!
Step-by-step explanation:
what does they y represent in the equation y=mx+b
Answer:
The y-intercept of this line is the value of y at the point where the line crosses the y axis.
Step-by-step explanation:
The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept.
Sebastian drove for 2.2 hours at an average rate of 43.5 miles per hour. He calculates that he drove 95.7 miles. He knows the answer should be near 80, because 40 times 2 is 80. Which best explains Sebastian’s actual solution?
Answer: A. The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.
Step-by-step explanation:
Answer: A. The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.
Step-by-step explanation:
pleas yall help ill give you brainiest if you help
Answer:
C) $3557.75
Step-by-step explanation:
First...
Use the equation SI = PRT/100 or (simple intrust is equal to principle*rate*time divided by 100).
(53500*13.3*0.5)/100
Next...
Mutiply
355775/100
Finally...
Divide
355775/100 = 3557.75
So the answer is...
$3557.75
SOMEONE HELP WITH MY LAST TWO PROBLEMS
Answer:
What are your last 2 problems m8
Step-by-step explanation:
By the end of Tina’s bike ride, she traveled a distance of 40 kilometers. How many miles did Tina ride? (1 mile ≈ 1.6 kilometers)
help plz brainless you help me
Answer:
24.85 or rounded to 24.9
Step-by-step explanation:
Conversion
K H D____D C M
The number of miles did Tina ride when (1 mile ≈ 1.6 kilometers) so it should be considered as the 25 miles.
Calculation of the number of miles:Since
By the end of Tina’s bike ride, she traveled a distance of 40 kilometers.
And we know that
1 mile ≈ 1.6 kilometers
So,
[tex]= 40 \div 1.6[/tex]
= 25 miles
hence, The number of miles did Tina ride when (1 mile ≈ 1.6 kilometers) so it should be considered as the 25 miles.
Learn more about miles here: https://brainly.com/question/13208356
What does it mean to divide a number by
a fraction (e.g., ¾)?
Answer: You can divide a number by a fraction by flipping over the fraction and multiplying them together.
Step-by-step explanation:
For example:
Lets say we wanted to divide 8 by 3/4
8÷[tex]\frac{3}{4}[/tex]
Change the division symbol into multiplication, and flip over the fraction (a great way to remember doing this is to remember the phrase Copy Dot Flip - Copy the first digit as it is, put a dot for multiplication, and then flip the fraction over)
8 ·[tex]\frac{4}{3}[/tex]
Now, just multiply and reduce/simplify the fraction if needed
Final answer is [tex]\frac{32}{3}[/tex], no need to simplify or reduce
Hope that helps!!
y= -2x - 45. solve for x if y = -10
Answer:
-17.5
Step-by-step explanation:
-10 = -2x - 45
(add 45 on both sides)
35 = -2x
(divide both sides by -2)
x = -17.5
Question 4
5 pts
4. Cassie has 45 marbles. Abdul has m If Cassie has 9 times as many
marbles as Abdul. Choose the equation that correctly represents the
number of marbles Abdul has.
O 9 x m = 45
O 45 - 9 = m
O C. 9+ m = 45
O D. 9 x 45 = m
Answer:
8 x m = 45
Step-by-step explanation:
cassie has 9 times which means multiplcation so its the first one
20x+x-2=4 rational equation
Answer:
x = 2/7
Step-by-step explanation:
Step 1: Write equation
20x + x - 2 = 4
Step 2: Solve for x
Combine like terms: 21x - 2 = 4Add 2 to both sides: 21x = 6Divide both sides by 21: x = 6/21Simplify: x = 2/7Step 3: Check
Plug in x to verify it's a solution.
20(2/7) + 2/7 - 2 = 4
40/7 + 2/7 - 2 = 4
42/7 - 2 = 4
6 - 2 = 4
4 = 4
Answer:
x = 2/7
Step-by-step explanation:
Collect like terms:
20x + x = 21x ----> 21x - 2= 4
Move the constant to the right hand side and change the sign of the constant:
21x = 4 + 2
Calculate:
21x = 4 + 2 ---> 21x = 6
Divide both sides by 21:
21/21 and 6/21 = 2/7
Solution:
x = 2/7 or x= 0.285714
Regina used nuts and fruits to make a snack mix. The graph below shows the quantities used for each serving
What do the points on the graph mean in this context? Select all that apply.
For every 3 cups of fruit, there is 1 cup of nuts.
For every 1 cup of fruit, there are 3 cups of nuts.
For every 2 cups of fruit, there are 6 cups of nuts.
For every 6 cups of fruit, there are 2 cups of nuts.
For every 12 cups of fruit, there are 4 cups of nuts.
Answer: 1st, 4th & 5th .
Answer:
1st, 4th, and 5th
Step-by-step explanation:
Need help please if right get brainliest
Answer: -2
Step-by-step explanation:
**PLEASE HELP THIS IS DUE TODAY** when the sun's declination is at the highest point, what direction does the sun rise and set?
Plz help :( I need the negative if y plz show steps 6X plus 6Y equal 83/9 upper 2N
Answer:
x=8
Step-by-step explanation:
Simplifying
Combine like terms
Solving
Find the equation of a line through (-9, 2) perpendicular to y=3x-12
1 point
y=-1/3x-1
y=3x-1
y=1/3x+4
y=-3x-1
9514 1404 393
Answer:
y = -1/3x -1
Step-by-step explanation:
The perpendicular line will have a slope that is the negative reciprocal of the slope of the given line. The given line's slope is the coefficient of x: 3. So, the perpendicular line's slope will be ...
m = -1/3
Only one answer choice has that value as the coefficient of x:
y = -1/3x -1
Shen is on the swim team. Each week he swims a total of 5000 meters. How many kilometers does he swim each week?
Be sure to include the correct unit in your answer.
Answer:
5 km
Step-by-step explanation:
to convert m to km you have to divide by 1000.
5000/1000=5
hope this helps!
PLZ HURRY IT'S URGENT!!
What is the y-intercept of the line?
y=2/3x+4
options:
0
1
2/3
4
Answer:
4
Step-by-step explanation:
y intercept is always the value without a coeffiecent
Answer:
ITS 4
Step-by-step explanation:
The net of a rectangular shipping box is shown.
What is the surface area, in square centimeters, of the box?
Answer:
It would be 376.
Point M (-3, 6) and point 'N (1,-1) are located on a coordinate
grid.
HURRY!!! PLEASE I WILL GIVE BRAINLIEST!!