George hiked from the top of a hill to the valley floor. The elevation at the top of the hill is 127 feet above sea level. The valley floor is 52 feet below sea level. George stopped at a rest stop that is at an elevation exactly halfway between the top of the hill and the valley floor. What is the elevation, in feet, of the rest stop? Show your work
Answer:
The elevation of the rest stop is 37.5 feet above sea level.
Step-by-step explanation:
Given that the elevation at the top of the hill is 127 feet above sea level and The valley floor is 52 feet below sea level.
So, the total length from the top of the hill to the valley floor
[tex]l= 127+52 = 179[/tex] feet
So, length of halfway [tex]= l/2=179/2=89.5[/tex] feet ...(i)
Assuming that the stop for rest, the halfway between the top of the hill and the valley floor, is at x feet above sea level.
So, the length between the stop position and the valley floor [tex]= 52 +x[/tex] feet.
As the stop position is at half-way, so by using equation (i), we have,
[tex]52 + x = 89.5 \\\\\Rightarrow x =89.5-52 \\\\[/tex]
[tex]\Rightarrow x=37.5[/tex] feet
Hence, the elevation of the rest stop is 37.5 feet above sea level.
For the function f(x) = (x – 9)7, find f-1(x).
Answer:
Let y=x,
y=(x-9)7
(y+9) ÷7=x
f-1(x)=(y+9)÷7
Michael started a savings account with $300. After 4 weeks, he had $350 dollars, and after 9 weeks, he had $400. What is the rate of
change of money in his savings account per week?
Person to answer get prize
Pls help
Answer:
$12.5
Step-by-step explanation:
all you do is divide the 4 weeks to the $50 he earns and get $12.5 every week.
Decide whether each sentence uses descriptive language or not. Jasmine saw a frog in the road. She suspiciously eyed the fluffy white poodle that was decorated with fluorescent pink bows. The sky was a dull and murky gray. The boy watched his brother play on the swing set.
Answer:
Decide whether each sentence uses descriptive language or not.
Jasmine saw a frog in the road.
✔ not descriptive
She suspiciously eyed the fluffy white poodle that was decorated with fluorescent pink bows.
✔ descriptive
The sky was a dull and murky gray.
✔ descriptive
The boy watched his brother play on the swing set.
✔ not descriptive
Step-by-step explanation:
Jasmine saw a frog in the road is a non-descriptive sentence.
What is a sentence?A sentence can be defined as the part where the phrase and the words are. This often contains a subject and a predicate. For a sentence, it needs to be grammatically correct. Also, there should be proper punctuation marks that are needed in a sentence. It can contain a noun or a pronoun. The sentence helps in communicating the thoughts.
The descriptive and nondescriptive sentences are given below:
Jasmine saw a frog in the road is a non-descriptive sentence. She suspiciously eyed the fluffy white poodle that was decorated with fluorescent pink bows is a descriptive sentence. The sky was dull and murky gray is a descriptive sentence. The boy watched his brother play on the swing set is a non-descriptive sentence.Learn more about sentence, Here:
https://brainly.com/question/27891489
#SPJ2
9. Original price of a CD: $17,00 Discount: 50%
Answer:
$34.00
Step-by-step explanation:
This is because if you divide 17 by 0.50 that equalls34 the orginal price
17/0.50=34
An industrial machine is able to make 35 pens in 5 seconds. What is the rate made per second?
Answer:7 pens per second
Step-by-step explanation: 35/5=7
Answer: 7 Pens Per second
Step-by-step explanation:
35/5 = 7
how come nothing feels real anymore? i've searched and i can't find why. all of my feelings and surroundings seem fake. i've felt like this for over a week straight so far, and this feeling has happened before but it's only lasted like a day or less. i can't get rid of the feeling, and i just wanna escape it. i feel like i'm not in "my" body. like my hands aren't my own, and i dont have complete control over them. when i look in the mirror, it's like it's not actually me looking back. no matter how many people are around me, it feels like they're all fake and aren't actually there. like this isn't the world i'm actually in. it's driving me insane and i just have the constant feeling that i want to cry and escape this. i can't tell my parents this, because they'll just say i'm being dramatic or just don't want to do my work or something like that. just please help me understand what's going on, or if there's anything i need to do. please. (i put this up for 50 points)
Answer:
I also have felt like this recently. Try talking to someone about it. :)
Math Problem, Please Help! please please please
Answer: The width is 8 inches
Step-by-step explanation:
Trust me lol also 8 gose into both 96 and 12
Please help ASAP! (Photo)
Answer:a sq+ b sq= c sq
Step-by-step explanation: add a and b and the answer is c
Answer my math question I asked so many times I lost most of points by
Answer:
im sorry i wish i can help
Step-by-step explanation:
during migration , a butterfly can travel 30 miles in 1 hour . which graph best represents y , the number of miles a butterfly can travel in x hours ?
Suppose AP = 2 cm and BQ = 7 cm. What is the length of PC?
Step-by-step explanation:
is this a quadrilateral? or polygon or triangle?
what are the angles (I believe there should be at least an angle given) else PC can be any value that is positive
What is the domain of Graph 1
Pedro had $235 in his saving account when Jim had $450 in his account. Look at the situation in the image. Which inequality shows when the amount of money in Pedro’s account is greater than the amount of money in Jim’s account?
Answer:
$450>$235
Step-by-step explanation:
This is because, when 235 is subtracted from 450 there is a great difference thats why $450 is greater than $235
8)
x + 24 - 9x = -8
Solve the equation
Answer:
x=4
Step-by-step explanation:
jus answered this
Answer:
X= +4
Step-by-step explanation:
[tex] - 8x + 24 = - 8 \\ - 8x = - 32 \\ x = \frac{ - 32}{ - 8} = + 4[/tex]
7/12 divided by 2 5/8
Answer:
2/9 or 0.2 repeating
A farmer grows a particular plant that has a gene that can be manipulated to control the age t at which the plant matures. The number of seeds S(t) produced by a plant maturing at age t is S(t)=−0.3t2+30t+0.2 seeds per mature plant A farmer asks the geneticists to genetically engineer a plant line that accounts for the fact that on his farm, only P(t)=90000t+100, plants mature to age t. What age of maturity should the geneticist select for the plants to maximize the seed production of the farmer's crop?a. Between 130 and 140 days b. Between 120 and 130 days
Answer:
The correct option is;
Between 40 and 50 days
Step-by-step explanation:
The number of seeds that are produced by a plant maturing at age t, S(t), is given as follows;
S(t) = -0.3·t² + 30·t + 0.2
The proportion of plants maturing at age (t) in the plants to be engineered by the geneticist P(t) = 90000/(t + 100)
The number of seeds produced by the plants = S(t) × P(t) = (-0.3·t² + 30·t + 0.2)×(90000/(t + 100))
To find the maximum number of seeds, we differentiate using an online tool, and equate to zero to get;
d((-0.3·t² + 30·t + 0.2)×(90000/(t + 100)))/dt = (-27000·t² - 5400000·t + 269982000)/(t + 100)² = 0
(-27000·t² - 5400000·t + 269982000)/(t + 100)² = 27000(t - 41.419)(t + 241.419)/(t + 100)² = 0
t = 41.419 or t = -241.419
Therefore, in order to maximize the production of seed of the crops of the farmer, the geneticist should select between 40 and 50 days.
Select three ratios that are equivalent to 11:1
Choose 3 answers:
A
1:11
(Choice B)
B
22:2
(Choice C
C
55:5
(Choice D)
D
9:99
(Choice E)
E
110:10
What is the value of z? Please provide an explanation, thanks!
Answer:
z=7
Step-by-step explanation:
72°+(8z-8)°+(9z-3)°=180° (a triangle contains 180° and vertical angles are equal)
(8z-8)°+(9z-3)°=180°-72°
17z°-11°=108°
17z°=108°+11°
17z°=119°
z°=119°/17°
z°=7°
z=7
Which of the following is a quadratic function?
A quadratic function is written as ax^2 + bx + c
Where the first term is raised to the 2nd power and the second term includes the x variable.
The answer would be number 2
A person rents a moving truck for the day. There is an initial rental fee of $20 and an additional $0.25 every mile driven. Write the equation representing cost, C(m) as a function of the number of miles traveled, m.
C(m)=
Answer:
Step-by-step explanation:
cost is 20 fee + .25 per mile.
c =20+0.25m
Determine the range of the following graph
sami gets £50 for her birthday.She buys a magazine costing £1.95, a bag for £7.50 and a pair of shoes for £24.99.How much does she have left?
Answer:
15.56
Step-by-step explanation:
mark brainliest k ty
Step-by-step explanation:
50 - ( 1.95+ 7.50+ 24.99) =
50 - 34.44 = 15.56
The length of a rectangle is the sum of the width and 2. The area of the rectangle is 48 units. What is the length, in units, of the rectangle? please hurry
Answer:
The answer is 48 divided by 2= 24.
Hope I helped.
A road starts at sea level and climbs steadily, reaching an elevation of 2000 feet after 8 miles, as shown in the diagram.
8 mi
5 mi
2000 ft
Note: Figure is not drawn to scale.
What is the elevation in feet of the road 5 miles from the starting point?
A. 1000
B. 1250
C. 750
D. 1500
Answer:
I think the answer is 1500
Step-by-step explanation:
Elevation of the road at 5 miles from the starting point is 1250 ft.
Similarity of triangles: If two triangles are similar, their corresponding sides will be proportional.
Given in the question,
Two triangles formed by a road are ΔADE and ΔABC (As shown in the figure attached).
Since, ∠A ≅ ∠A (Reflexive property)
∠AED ≅ ∠ACB (right angles)
ΔADE ~ ΔABC (By A-A property of similarity)
In these similar triangles, corresponding sides will be proportional.
[tex]\frac{AB}{BC}=\frac{AD}{DE}[/tex]
[tex]\frac{8}{2000}=\frac{5}{DE}[/tex]
[tex]DE=\frac{5\times 2000}{8}[/tex]
[tex]=1250[/tex] miles
Therefore, elevation of the road at 5 miles from the starting point will be 1250 ft.
Option (B) will be the answer.
Learn more about the similarity of the triangles here,
https://brainly.com/question/20826545?referrer=searchResults
-27 - (-8)=
A -35
B -18
C 19
D 35
Answer:
The answer is -19
Step-by-step explanation:
-27 - (-8)=
-27+8
=-19
Answer:
C
Step-by-step explanation:
-27 - (-8) automatically becomes -27 + 8 because the two negatives cancel each other out. which then gives you -27 + 8 = 19.
Mr. Stokes bought 6 1/2 pounds of meat for a party. He used 2 1/4 pounds of meat to make tacos. The rest he used to make 1/4 pound burgers. How many burgers did Mr. Stokes make?
9514 1404 393
Answer:
17
Step-by-step explanation:
The remaining amount of meat is ...
6 1/2 - 2 1/4 = 4 1/4 = 17/4 . . . pounds
The number of 1/4 pound burgers that can be made with that amount of meat is ...
(17/4)/(1/4) = 17/1 = 17
Mr. Stokes made 17 burgers.
The temperature falls from 3 degrees Celsius to -4 degrees celcius what is the the difference in these temperatures
20 points
Answer:
7
Step-by-step explanation:
3 - -4=7
Use the given information to write the equation of the line.
slope 2, y-intercept - 4
what is the domain of this scatter plot?
Answer:
this answer should be green