Answer:
A. The lowest point of the hammock is at the point 1 meters above the ground and 3 meters from one end of the hammock
B. The two trees are 6 meters away from one another
Step-by-step explanation:
The given equation of the parabola representing the hammock is as follows;
y = 0.4·(x - 3)² + 1
The general equation of a parabola is a·(x - h)² + k;
Where the coordinates of the vertex point of the parabola, which is the lowest (or highest, furthest) point on the vertex is (h, k) = (3, 1)
Therefore, we have;
A, The coordinates of the lowest point on the hammock is (3, 1)
Therefore, the lowest point of the hammock is at 1 meters above the ground and 3 meters from one end of the hammock
B. Given that the distance from one end is "x", we have;
The height at which the hammock is attached is given as the point where x = 0 as follows;
Given that the vertex of the parabola represents the axis of symmetry of the parabola, we have that the horizontal distance from one end of the hammock to the vertex point of the parabola that the hammock forms is (3 - 0) meters = 3 meters
Therefore, by the definition of symmetry, the distance from the vertex point to the other end of the parabola that the hammock forms is also 3 meters
From which we have, the distance the two trees are from one another is 3 meters + 3 meters = 6 meters.
Bill owns four cars each car is a different colour each day he drives to work in one of his cars the table shows the probability that bill chooses a car of a particular colour
Car/probability
Red 0.4
Blue 0.17
Yellow 0.05
White ...?
Work out the probability that bill chooses the white car.
Answer:
1 - 0.4 - 0.17 - 0.05 = 0.38
white = 0.38
Answer:
?yzuzuzuizz72i222
Step-by-step explanation:
nznznnznzjzixi
Frank Catton, the general manager of Billybob's floating raft hotel and Casino in Tunica Mississippi, has installed the "The Wheel of Doughnuts" at the check in desk. When you check in, you spin the wheel and a plate containing that many hot
doughnuts is delivered to your room the next moming for free. If your spinlands on an orange slot you get free hot chocolate too
(Give a fraction or round to 1 decimal place)
A. What is the probability that you get 7 doughnuts and hot chocolate? I
8. What is the probability that you get 7 doughnuts or hot chocolate?
Answer:
P( 7 doughnuts or hot chocolate)=0.40
Step-by-step explanation:
From the question we are told that
Total number of plates [tex]n=10[/tex]
1)Generally the probability that you get 7 doughnuts and hot chocolate is mathematically given as
7 doughnuts and hot chocolate= 1 slot
Therefore
P( 7 doughnuts and hot chocolate)= 1/10
P( 7 doughnuts and hot chocolate)= 0.10
2)Generally the probability that you get 7 doughnuts or hot chocolate is mathematically given as
P( 7 doughnuts or hot chocolate)=P(7 doughnuts)+P(hot chocolate)-P( 7 doughnuts and hot chocolate)
1 plates contains 7 doughnuts
P(7 doughnuts)=1/10
P(7 doughnuts)=0.10
4 plates contain hot chocolate
P(hot chocolate)=4/10
P(hot chocolate)=0.4
7 doughnuts and hot chocolate= 1 slot
P( 7 doughnuts and hot chocolate)= 1/10
P( 7 doughnuts and hot chocolate)= 0.10
Therefore
P( 7 doughnuts or hot chocolate)=0.10+0.4-0.10
Therefore
P( 7 doughnuts or hot chocolate)=0.40
The probability of getting 7 doughnuts or hot chocolate is 0.4
evaluate the following expressions: if X= -3 then X squared -10x=
Answer:
39
Step-by-step explanation:
[tex] {x}^{2} - 10x \\ \\ = {( - 3)}^{2} - 10( - 3) \\ (plug \: x = - 3) \\ \\ = 9 + 30 \\ \\ \therefore({x}^{2} - 10x)_{ \{x = - 3 \}} = 39[/tex]
y=[tex]4x^{2}[/tex]+3x+4
y=5x+4
Answer:
(0, 4 ) and ( [tex]\frac{1}{2}[/tex], [tex]\frac{13}{2}[/tex] )
Step-by-step explanation:
Given the2 equations
y = 4x² + 3x + 4 → (1)
y = 5x + 4 → (2)
Substitute y = 4x² + 3x + 4 into (2)
4x² + 3x + 4 = 5x + 4 ( subtract 5x + 4 from both sides )
4x² - 2x = 0 ← factor out 2x from each term
2x(2x - 1) = 0
Equate each factor to zero and solve for x
2x = 0 ⇒ x = 0
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]
Substitute these values into (2) for corresponding values of y
x = 0 : y = 5(0) + 4 = 0 + 4 = 4 ⇒ (0, 4 )
x = [tex]\frac{1}{2}[/tex] : y = [tex]\frac{5}{2}[/tex] + 4 = [tex]\frac{13}{2}[/tex] ⇒ ([tex]\frac{1}{2}[/tex], [tex]\frac{13}{2}[/tex] )
the hamster walked x feet. the guinea pig walked 1/4 more than that.
Answer:
2x+[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
hamster=x
guinea pig = x+ 1/4
x+x=2x
then just add the 1/4
Jason needs to find the volume of the sphere shown below. Which formula should be used ?
Answer:
dont see sphere
Step-by-step explanation:
need a quick answer please
Answer:
x= 3
Step-by-step explanation:
12x-12x= 2x 1+5=6
2x=6
x=3
Answer: x=3
Step-by-step explanation:
(10x+1)=(12x-5) (you make them equal because they are vertical)
-2x+1=-5
-2x=-6
x=3
I'm not really sure but I tried, sorry.
Isabelle, Joel, and Bryan sat on their grandmother's porch shelling peas for dinner. There were 2 big bowls of peas, and each person shelled an equal amount. How many bowls of peas did each person shell?
Answer:
2/3 bowls of peas
Step-by-step explanation:
Given that there were 2 big bowls of peas, and each person shelled an equal amount. Since there are three persons, the ratio of the number of bowls of peas available to the number of persons will give the number of bowls of peas did each person shell.
Hence each person must have shell
= 2/3 bowls of peas
Name two examples of quadrilaterals,
Answer:
square and rectangle
Step-by-step explanation:
Answer:
Squares, Trapezoids, Rhombuses, Kites, Parellelograms, or Rectangles
Step-by-step explanation:
"Quad" means that there is 4 sides on something, and all of these shapes have 4 sides, so obviously, that means they are quadrilaterals.
I need help what is 15 times 238
Answer:
hello.....................
Step-by-step explanation:
Answer:
3,570
Step-by-step explanation:
why did you not look it up on the internet lol
Juan and Ari went to the farmers market to buy fruit. Juan's bag of apples that he bought weighed StartFraction 31 over 7 EndFraction pounds. Ari's bag of oranges that he bought weighed StartFraction 19 over 3 EndFraction pounds. Using compatible fractions, estimate how much heavier Ari's bag is compared to Juan's bag. 1 and one-half pounds 2 pounds 6 pounds 10 and one-half pounds
Juan and Ari went to the farmers market to buy fruit. Juan’s bag of apples that he bought weighed 31/7 pounds. Ari’s bag of oranges that she bought weighed 19/3 pounds. Using compatible fractions, estimate how much heavier Ari's bag is compared to Juan's bag.
A) 1 and one-half pounds
B) 2 pounds
C) 6 pounds
D) 10 and one-half pounds
Answer:
B: approximately 2 pounds
Step-by-step explanation:
Juan’s bag weighed 31/7 pounds
Ari's bag weighed 19/3 pounds.
We are told to use compatible fractions to determine the difference. Thus we have to make sure the denominator is the same;
For Juan, let's multiply both numerator and denominator by 3 to get; 93/21 pounds
For Ari, let's multiply both numerator and denominator by 7 to get; 133/21
Thus, difference is;
(133/21) - (93/21) = 40/21
This gives;
1.9 pounds heavier
This is approximately 2 pounds
Answer:
B. 2 pounds
Step-by-step explanation:
24 yd = ___ ft
SHOW WORK PLEASE I WANNA KNOW HOW TO DO IT ILL BE SO HAPPY BC IM KINDA CONFUSED
Answer:
72
Step-by-step explanation:
1 Yard is 3 Feet
Since we know this we Multiply 3 by 24.
Hope this helps ▼・ᴥ・▼
Answer:
72ft
Step-by-step explanation:
1 yd = 3ft
so you would do 24 times 3 to get 72
Magic The Gathering (MTG) booster packs cost 4 for $12. At this rate, how much will 9 booster packs cost?
Answer
$27
Step-by-step explanation:
12/4=3
3x9=27
Is -8 = 8
A. One solution
B. Two solutions
C. Infinitely many solutions
D. No solution
The histogram shows how many pairs of sneakers are on sale at the local shoe store. How
many pairs of sneakers smaller than size 8 are on sale?
Sneaker Sale
Number of Palrs
20
18
16
14
12
10
8
6
4
2
0
2-4
5-7
8-10
11-13
Sneaker Size
14
22
37
49
Answer: 22
Step-by-step explanation:
9-2x ≤-5
show work please i need this for hw thankss
answer is x={7,8,9...}
note= (-5 when u take to other side it will become positive)
Please help me ASAP!! Thank you!
Answer:
The third one
Step-by-step explanation:
June needs at least $575 to go on a vacation. She earns $10 an hour for babysitting and already has $252 saved for the trip. Which inequality can be used to find the number of hours she needs to babysit
Answer:
[tex]252 + 10h \ge 575[/tex]
Step-by-step explanation:
Given
[tex]Savings = 252[/tex]
[tex]Target=575[/tex] -- atleast
[tex]Earnings = \$10[/tex] per hour
Required
Represent as an inequality
Suppose that she babysits for h hours, her total earnings would be:
[tex]Total\ Earnings = 10h[/tex]
In inequalities:
At least means [tex]\ge[/tex]
So, when the total earnings is added to her savings, we have:
[tex]Savings + Total\ Earnings \ge Target[/tex]
Substitute values for Savings, Total Earnings and Target
[tex]252 + 10h \ge 575[/tex]
A number cube has sides numbered 1 through 6 the probability of rolla 2 is 1/6 what is the probability of not rolling a 2
Answer:
5/6
Step-by-step explanation:
It would be 5/6 because there are 5 possible answers other than 3 making it 5/6
The slope, m, of a linear equation can be found using the formula m = StartFraction y 2 minus y a Over x 2 minus x 1 EndFraction., where the x- and y-values come from two ordered pairs, and (x1, y1) and (x2, y2).
Answer:
Please check the explanation.
Step-by-step explanation:
Given the points
(x₁, y₁)(x₂, y₂)Using the formula to determine the slope between (x₁, y₁) and (x₂, y₂) of the linear function
Slope = m = [y₂ - y₁] / [x₂ - x₁]
For example, let the points be
(x₁, y₁) = (1, 2)
(x₂, y₂) = (3, 4)
Determining the slope between
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [4 - 2] / [3 - 1]
= 2 / 2
= 1
Thus,
The slope of the line between the points (1, 2) and (3, 4) will be: m = 1
please simplify -8(-3a-2)
Answer: 24a+16
Step-by-step explanation:
Answer:
=24a+16
Step-by-step explanation:
Let's first take our problem-
−8(−3a−2)
Simplify -
=(−8)(−3a+−2)
=(−8)(−3a)+(−8)(−2)
And you get your answer-
=24a+16
Five friends went to a movie. Each friend bought a ticket and a
medium-sized bag of popcorn. The total amount they spent
was $61.25. What was the price of each movie ticket?
(Medium price is $3.75
A stray dog ate 12 of your muffins. That was of all of them. With how many muffins did
you start? Write an equation and solve the problem.
plz help
Answer:
A stray dog ate 12 of your muffins. That was of all of them. With how many muffins did
you start? Write an equation and solve the problem.
plz help
Step-by-step explanation:
um if he ate ALL of them wouldn't it be 12?
2 1/2 divided by 2 1/3
Answer:
Exact Form: 15/2
Decimal Form: 7.5
Mixed Number Form: 7 1/2
Step-by-step explanation:
Answer:
1[tex]\frac{1}{14}[/tex]
Step-by-step explanation:
Turn the mixed fractions into improper fractions:
2 1/2 = 5/2
2 1/3 = 7/3
5/2 ÷ 7/3
Replace the division sign with a multiplication sign by reciprocating 7/3.
5/2 × 3/7
Multiply the numerators and the denominators.
= 15/14
Simplify 15/14 by turning it into a mixed fraction.
1[tex]\frac{1}{14}[/tex]
I hope this helps!
Helena makes 500$ per week, and she puts 15% of her paycheck in savings. How much money does she put in savings
Answer:
75$
Step-by-step explanation:
[tex]500(0.15) = 75[/tex]
please help!:) Using the function g( x) = -4 x – 17, calculate g(-2)
Step-by-step explanation:
you'll substitute x for -2
g(-2) = -4 *(-2) - 17 = 8 - 17 = -9
hope i helped :)
Including Jose, there are eight people in his family. If order matters, how many ways can he arrange his family members into a row of five seats if Jose must sit in the first seat?
Answer:
840 ways
Step-by-step explanation:
From the above question, we are told that order matters, hence, to solve the above question, we use the Permutation formula.
P(n, r) = nPr = n!/(n -r)!
From the above question,
Since Jose is included in the 8 people and he takes the first seat
n = 8 - 1 = 7 people
r = 5 - 1 = 4 seats
This is because, once Jose takes the first seat, there are 4 seats left with 7 people waiting to be seated
Hence,
7P4 = 7!/(7 - 4)!
7P4 = 7!/3!
7P4 = 5040/6
7P4 = 840 ways
Answer:
840
Step-by-step explanation:
edg 2021
HELP IM IN A QUZZ...
2(z-3)
[tex]2(z - 3) \geqslant 5[/tex]
Answer:
2z-6
Step-by-step explanation:
2(z-3)
2(z)-2(3)=2z-6
hii please help i’ll give brainliest if you give a correct answer
Answer:
i think it'll be the first one and the last one
Step-by-step explanation: