Answer:
$0.035
Step-by-step explanation:
A mass suspended from a spring is raised a distance of 5 cm above its resting position. The mass is released at time t=0 and allowed to oscillate. After one third of a second, it is observed that the mass returns to its highest position, which was 4.5 cm above its resting position. What is the rate of change of the position of the mass at t = 2.1 seconds?
Rates of change are the change of a quantity over another.
The rate of change of the mass position at 2.1 seconds is -89.6 cm/ s
The given parameters are:
[tex]\mathbf{A = |5|}[/tex] -- the amplitude
[tex]\mathbf{T = \frac 13}[/tex] --- the period
The position of the mass is modeled by:
[tex]\mathbf{y= Acos(wt)}[/tex]
Where:
[tex]\mathbf{w = \frac{2\pi }{T}}[/tex]
So, we have:
[tex]\mathbf{w = \frac{2\pi}{1/3}}[/tex]
[tex]\mathbf{w = 6\pi }[/tex]
[tex]\mathbf{y= Acos(wt)}[/tex] becomes
[tex]\mathbf{y = |5|cos(6\pi t)}[/tex]
[tex]\mathbf{y = 5cos(6\pi t)}[/tex]
Differentiate
[tex]\mathbf{y' = 5 \times -sin(6\pi t) \times (6\pi)}[/tex]
[tex]\mathbf{y' = -30\pi sin(6\pi t) }[/tex]
When t = 2.1, we have:
[tex]\mathbf{y' = -30\pi sin(6\pi \times 2.1) }[/tex]
[tex]\mathbf{y' = -30\pi sin(12.6\pi) }[/tex]
[tex]\mathbf{y' = -30\pi \times 0.9510}[/tex]
[tex]\mathbf{y' = -89.6296}[/tex]
Approximate
[tex]\mathbf{y' = -89.6}[/tex]
Hence, the rate of change of the mass position at 2.1 seconds is -89.6 cm/ s
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Please help !!! Aspen scored no fewer than 18 points in her
last basketball game. She scored 6 points on free
throws that are worth 1 point each. The rest of
the points she scored on 3-point field goals.
Which inequality can be used to
determine, p, the number of 3-point field
goals that Aspen made?
Inequalities are used to represent unequal expressions.
The inequality is: (c) [tex]\mathbf{3p + 6 \ge 18}[/tex]
The given parameter is:
[tex]\mathbf{Free = 6}[/tex]
Represent the number of 3-point field goals with p.
So, the total number of points is:
[tex]\mathbf{Total = 3 \times p + Free}[/tex]
[tex]\mathbf{Total = 3 p + Free}[/tex]
Substitute 6 for Free
[tex]\mathbf{Total = 3 p + 6}[/tex]
He scored no fewer than 18 points, means that:
He scored 18 or more points
So, the inequality is:
[tex]\mathbf{Total = 3 p + 6 \ge 18}[/tex]
Rewrite as:
[tex]\mathbf{3p + 6 \ge 18}[/tex]
Hence, the correct option is (c)
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Home Find the slope of the roof of a home that rises 8 feet for every horizontal change of 24 feet.
Answer:
1/3
Step-by-step explanation:
to find slope
m=(vertical distance)/(horizontal distance)
m=8/24
m=1/3
EQUILATERAL
ISOSELES
SCALENE
Answer:
isoseles triangle
explanation: none of the sides are the same
hope this helps
Answer: SCALENE
Step-by-step explanation:
All sides are unequal, ISOSELES has 2 equal sides and EQUILATERAL all sides are equal.
Is each line parallel, perpendicular, or neither parallel nor perpendicular to the line 4x + 3y = 12? Drag and drop each choice into the boxes to correctly complete the table. Parallel Perpendicular Neither
Step-by-step explanation:
The line given:
4x + 3y = 12, its slope is m = - 4/3Other lines to compare:
-3x + 4y = 8, the slope is m = 3/4, it is perpendicular line as the product of the slopes is - 1;4x + 3y = 31, the slope is m = -4/3, same slope but different y- intercept, it is parallel line;3x + 4y = 12, the slope is m = -3/4, it is neither parallel nor perpendicular;-4x + 3y = - 1, the slope is m = 4/3, it is neither parallel nor perpendicularSlope=m=+4/3
#1
-3x+4y=8m=3/4
Perpendicular#2
4x-3y=31m=-4/3
Parallel#3
3x+4y=12m=-3/4
neither#4
-4x+3y=-1m=4/3
Neithercaroline wants to make cookies to bring to a party. she will need to double the recipe to have enough. how much of each ingrediant will she need. rewrite the recipe so that it will make 4 dozen cookies
recipes:
3/4 cup of peanut butter
1/2 cup vegetable shortening
1 1/4 cups girmly packed light brown sugar
3 tablespoons milk
2 3/4 teaspoon vanilla extract
1 large egg
1 1/2 cups flour
3/4 teaspoon baking soda
1/4 teaspoon salt
MAKES 2 DOZEN COOKIES
Answer:
1 1/2 cups of peanut butter
1 cup of vegetable shortening
2 1/2 cups grimly packed light brown sugar
6 tablespoons of milk
5 1/2 teaspoon vanilla extract
2 large eggs
3 cups of flour
1 1/2 teaspoon of baking soda
1/2 teaspoon of salt
Step-by-step explanation:
You just double everything by 2
The ingredients needed to make 4 dozen cookies are written below;
3/2 cup of peanut butter
1 cup vegetable shortening
2½ cups girmly packed light brown sugar
6 tablespoons milk
5½ teaspoon vanilla extract
2 large egg
3 cups flour
3/2 teaspoon baking soda
1/2 teaspoon salt
How much of each ingrediant will she need?Recipe for 2 dozen cookies:
3/4 cup of peanut butter
1/2 cup vegetable shortening
1 1/4 cups girmly packed light brown sugar
3 tablespoons milk
2 3/4 teaspoon vanilla extract
1 large egg
1 1/2 cups flour
3/4 teaspoon baking soda
1/4 teaspoon salt
Recipe for 4 dozes of cookies: multiply the recipe for 2 dozen by 2
3/4 cup of peanut butter × 2
= 6/4 = 3/2
1/2 cup vegetable shortening × 2
= 2/2 = 1
1 1/4 cups girmly packed light brown sugar × 2
= 5/4 × 2
= 10/4 = 5/2 = 2½
3 tablespoons milk × 2
= 6
2 3/4 teaspoon vanilla extract × 2
= 11/4 × 2 = 22/4
= 11/2 = 5½
1 large egg × 2
= 2
1 1/2 cups flour × 2
= 3/2 × 2
= 6/2 = 3
3/4 teaspoon baking soda × 2
= 6/4 = 3/2
1/4 teaspoon salt × 2
= 2/4
= 1/2
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Which of the following equations have infinitely many solutions?
Choose all answers that apply:
A
- 10x - 10 = -10x + 10
B
10x - 10 = -10x - 10
C
- 10x - 10 = -10x - 10
D
10x – 10 = -10x + 10
Answer:
10
Step-by-step explanation:
that is the answer because its her choice
what is the answer for this question
Answer:
5
Step-by-step explanation:
Answer:
5 centimeters
Step-by-step explanation:
leaf is 11cm, catepillar is 6.... 11-6=5
Find the value of x that makes p||q
Answer:
20
Step-by-step explanation:
90-50=40... therefor X must equal 20
whats the answer for 6x+4y=−12
-4(50x-20)=10x+15+23
Answer:
0.2 or 1/5
Step-by-step explanation:
-4(50x - 20) = 10x + 15 + 23
-200x + 80 = 10x + 38
80 = 210x + 38
42 = 210x
0.2 = x
Hope this helps! Pls give brainliest!
Answer: x = 1/5 or 0.2
Step-by-step explanation:
-4(50x-20)=10x+15+23
-200x +80=10x+38
-80 -80
-200x=10x-42
-10x. -10x
-210x = -42
/-42. /-42
= 5
what is 4/2/3 x 1/3/7 ?
Answer: 2/63
Step-by-
Answer:
Hello,There! I'll be glad to help!
Questionwhat is 4/2/3 x 1/3/7 ?
Answer[tex]6\frac{2}{21}[/tex]
Step-by-step explanation:
Rewriting our equation with parts separated
[tex]4 +\frac{2}{3} + 1 +\frac{3}{7}[/tex]
Solving the whole number parts
[tex]4 + 1 =5[/tex]
Solving the fraction parts
[tex]\frac{2}{3}+\frac{3}{7} =?[/tex]
Find the LCD of 2/3 and 3/7 and rewrite to solve with the equivalent fractions.
LCD = 21
[tex]\frac{14}{21} +\frac{9}{21} =\frac{23}{21}[/tex]
Simplifying the fraction part, 23/21,
[tex]\frac{23}{21} =1\frac{2}{21}[/tex]
Combining the whole and fraction parts
[tex]5 + 1+ \frac{2}{21} =6\frac{2}{21}[/tex]
Hence, The answer is [tex]6\frac{2}{21}[/tex]
Beckett went to two different stores at the mall. He purchased a $36 hat at the first store and a $52 pair of shoes at the second. Beckett estimates that he spent a little less than $80 in total. Is Beckett's estimate reasonable? Explain your thinking.
Beckett spent $88 in total his estimate of $80 is wrong.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Beckett went to two different stores at the mall. He purchased a $36 hat at the first store and a $52 pair of shoes at the second. Beckett estimates that he spent a little less than $80 in total.
The total spending will be calculated as,
Total = 52 + 36
Total = $88
The estimated spending is $80. Therefore, Beckett spent $88 in total his estimate of $80 is wrong.
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What is 42893+2432743
Answer:
42,893 + 2,432,743 = 2,475,636
, Hope this helps :)
Have a great day!!
Answer:
[tex]\sf 42893+2432743[/tex]
[tex]\sf =2475636[/tex]
2 shops sell luxury chocolates.
Shop A : 200 g for £2.90
Shop B: 150 g for £2.15
Which shop offers the best value for money?
Answer:
shop b
Step-by-step explanation:
A concert earned $3,745 in ticket sales. One ticket to the concert cost $35.
How many tickets were purchased for the concert?
Answer:
107 concert tickets were bought
Step-by-step explanation:
the simple interest on $700 for 2 years at 10% is ?
Answer:
140
Step-by-step explanation:
∫P=700
∫T=2
∫R=10% after a few calculating you get 140.....the answer is right just sorry for my bad explaining
1) There are 44 dogwood trees currently in the park. Park workers will plant more
dogwood trees today. When the workers are finished there will bę 70
dogwood trees in the park. How many dogwood trees did the workers plant today?
Answer:
26
Step-by-step explanation:
there are already 44 dogwood trees
there will be 70 dogwood trees by the end of the day
we take how many dogwood trees there already are and subtract them from what there will be
70-44=26
Jim and his friends went out for dinner at a restaurant and the bill was $68.50 if Jim wants to tip 18% what should the tip be
Answer:
$12.33
Step-by-step explanation:
Since the bill is $68.50, and Jim wants to tip 18%, it will be $80.83 in total
18% = 0.18
since you don't want to DECREASE the bill, it's 1.18
1.18 x 68.5 = 80.83
hope this helped :)
4+6i=5i-3 can someone please help me solve this equation
Answer:
42- 2i
Step-by-step explanation:
if you purchesd a $49.00 gift and you use a 20% off coupon how much do you spend
Answer:
$39.20
Step-by-step explanation:
$49 * (1-.2) = $39.20
find the equation of perpendicular bisector of the lines with the given word (1,2) and (5,4)
Answer:
y = -2x + 4
Step-by-step explanation:
Slope: (4-2)/5-1) = 2/4 = 1/2
Slope of the perpendicular line: -2
y-intercept: 2 - (-2)(1) = 4
what is 1+1?? i think its 11 bc yea like who even says that its 2?? GET YOURSELF TOGETERRRRRR EHHHEHEHEHEHEH <33. 6
Wolfman and Dracula we’re having a contest to see who can scare people the most for every three people Dracula scare Wolfman scared seven if Wolfman scared 24 more people how many people were scared and all
What is the slope of the line that passes through the points (-4,-2) and (-4,22)
Answer:
0
Step-by-step explanation:
( x1, y1 ) = ( - 4, - 2 )
Here,
x1 = - 4
y1 = - 2
( x2, y2 ) = ( - 4, 22 )
Here,
x2 = - 4
y2 = 22
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
Slope
= ( 22 - ( - 2 ) ) / ( - 4 - ( - 4 ) )
= ( 22 + 2 ) / ( - 4 + 4 )
= 24 / 0
= 0
Hi I need help with this
Answer:
well this is going to be long, but
1. 0.625
2. -0.136
3. 1.222
4. -5.075
5. -7.455
6. 4.067
7. -9.111
8. -7.833
9. 17/25
10. -1/100
11. -3 99/100
12. 8 149/200
13. 3 1/200
14. -13 3/250
15. -9 49/50
16. -10 113/250
17. your friends snapper is larger, 1320/156 > 1313/156
18. 0.13 > 1/8
19. -1 2/9 < 5/4
20. -5.175 < -5 1/6
21 -1 1/2 = -1.5, - 1 7/9 = -1.777777....
Step-by-step explanation:
sorry i didnt know which question you needed help on so i did it all, hope this helped you!! have a great day
a) 3x²(5x²-2x-4)
b) xy²(x²y+x³y²+3x²y³)
c) xyz(x²y+3yz²+4xy²z)
Answer:
bobo ka ba
Step-by-step explanation:
name!https://youtu.be/vA3qDEMnB5k
4-2y=-2x in slope intercept form
Answer:
y=x+2
Step-by-step explanation:
4-2y=-2x
Divide everything by 2.
2-y=-x
Switch to y=mx+b form.
-y=-x-2
Multiply everything by +1.
y=x+2
A snail glides 4 metres in 2 hours
what is the average speed of the snail in metres/hour?
how far will it glide in 6 hours?
what is the time taken by the snail to glides a distant of 1 metre?
Answer:
2 metres per 1 hour
12 metres per 6 hours
30 minutes to glide 1 metre.
Step-by-step explanation:
1. To find the average speed, simply divide the distance covered by the amount of time taken, like so:
4 metres / 2 hours = 2 metres per 1 hour
2. To find how many metres the snail will glide in 6 hours, multiply the 2 metres per 1 hour by 6, like so:
6(2 metres per 1 hour) = 12 metres per 6 hours
3. Because we know that 2 metres take 1 hour to glide over, if we divide 2 in half, we get 1, so we can also divide 1 hour in half to get 30 minutes. Therefore, it takes 30 minutes to glide 1 metre.
Hope this helps :)
Please Answer correctly
Answer:
I Think 2.
Step-by-step explanation:
If im correct pls give brainliest im tired thx! :D
[tex]\huge\fbox\orange{A} \huge\fbox\red{N}\huge\fbox\blue{S}\huge\fbox\green{W}\huge\fbox\gray{E}\huge\fbox\purple{R}[/tex]
[tex]\huge\underline\mathsf\colorbox{white}{2}[/tex]
[tex]\huge\underline\mathtt\colorbox{cyan}{I'm Sure}[/tex]
[tex]\huge\mathsf\colorbox{white}{}[/tex]