Using the features, a piece-wise function is defined, and the graph is sketched at the end of this answer.
A piece-wise function is a function that has multiple definitions, depending on the value of the input.
He starts at 0 feet, and reaches a maximum elevation of 800 feet in 30 minutes, with a steady(linear) increase thus, for the first 30 minutes, the definition is:
[tex]h(t) = \frac{800}{30}t, 0 \leq t < 30[/tex]
For the next 5 minutes, he stops to rest, at the maximum elevation of 800 feet, thus, the definition is:
[tex]h(t) = 800, 30 \leq t < 35[/tex]
For the final 20 minutes, he descends 800 meters, at a linear rate, thus:
[tex]h(t) = 800 -\frac{800(t-35)}{20} = 800 - 40(t - 35), 35 \leq t \leq 55[/tex]
Using these definitions, the graph is sketched at the end of this answer.
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Please help
Mr. Fisher rode his bike from point A to B, then to C, What distance did he travel?
Answer: 7 m
Step-by-step explanation:
4 + 3 = 7
Answer:
7m
Step-by-step explanation:
Basically, from point A up to B is 4m and from B east to C is 3m.
Hope this helps!
whats the answer for 6x+4y=−12
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
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 :)
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
Find the value of x that makes p||q
Answer:
20
Step-by-step explanation:
90-50=40... therefor X must equal 20
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 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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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:
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
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
Can someone tell me the answer to this please
Answer:
132°
Step-by-step explanation:
Because the triangle is isosceles, the two base angles are the same. This means that two angles in the triangle are 24°
24 + 24 + ∠PON = 180° - first, simplify this
48 + ∠PON = 180° - now, subtract 48 from both sides
∠PON = 132°
Hope this helps!
Solve for x
33=x/2+15
Answer:
[tex]x=36[/tex]
Step-by-step explanation:
Solve for [tex]x[/tex] by simplifying both sides of the equation, then isolating the variable.
Therefore, [tex]x = 36[/tex].
To check your answer, apply 36 to where [tex]x[/tex] is.
[tex]33=\frac{36}{2} +15[/tex]
⇒ [tex]33=18+15[/tex]
[tex]18+15=33[/tex] ☑
Answer:
[tex]\boxed{\sf x=36}[/tex]
Step-by-step explanation:
[tex]\sf 33=\cfrac{x}{2}+15[/tex]
[tex]\boxed {\sf Multiply\: both \:sides \:by \:2}[/tex]
[tex]\sf 66=x+30[/tex]
Swap sides so that all the variable terms are on the left hand side:
[tex]\sf x+30=66[/tex]
[tex]\boxed{\sf Subtract \:30\: from \:both \:sides}[/tex]
[tex]\sf x=66-30[/tex]
[tex]\boxed{\sf Subtract \: 30\: from \:66}[/tex]
[tex]\sf x=36[/tex]
_________________________
-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 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
Simplify this expression s square root 5 (13+ square root 2)
Answer:
65 + 5[tex]\sqrt{2}[/tex]
Step-by-step explanation:
5(13 + [tex]\sqrt{2}[/tex]) ← multiply each term in the parenthesis by 5
= 65 + 5[tex]\sqrt{2}[/tex]
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]
how to find the equation of a line that is parallel and passes through a point
Answer:
Step-by-step explanation:
Parallel line have the same slope. Put the reference line is y=mx+b format. m will be the slope. A parallel line must have the same m. Example:
y=2x+5 has a slope of 2 and a y-intercept of 5 (the value of y when x is 0). Any line witrh the same slope will be parallel. So with can write y=2x+b, where we'll change the y-interecpt so the the lines don't overlap. Once we know the parallel line must be y = 2x+b, we can enter the known point, e.g., (3,14), and calculate b:
y=2x+b
14=2*3+b
14=6+b
b=8
The parallel line to y=2x+5 is y=2x+8: It is parallel and goes through the point (3,14).
I need help ASAP!!! (please look at the image and explain how you got the answer, please and thanks)
Answer:
114
Step-by-step explanation:
so lets call shelf 1 x
shelf 2 is twice size + 18 of shelf 1 so it is 2(x)+18
shelf 3 is 12 less than shelf 1 so x-12
shelf 4 is four more so x+4
Add them all together and it should be 5x+10= 2.5 m or 250 cm
Solve for x using cm
then plug into shelf 2 equation
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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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
264 devided by 2= also i am sending more so look out
Answer:
132
Step-by-step explanation:
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
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
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
caroline 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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4+6i=5i-3 can someone please help me solve this equation
Answer:
42- 2i
Step-by-step explanation:
what is 1+1?? i think its 11 bc yea like who even says that its 2?? GET YOURSELF TOGETERRRRRR EHHHEHEHEHEHEH <33. 6
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]