Answer:
33.634 ; 134.536 ; d = √[(50t)² + (45t)²]
Step-by-step explanation:
Given the following :
Toyota Prius = East at 50mph
Dodge Circuit = South at 45mph
Distance apart after 30 minutes :
Distance = speed * time
Distance moved by Prius = ( 50mph × 0.5hr) = 25 miles
Distance moved by Circuit = ( 45mph × 0.5hr) = 22.5 miles
Hence Displacement after 30 minutes :
d = √(25² + 22.5²)
d = √625 + 506.25
d = √1131.25
d = 33.634 miles
Distance apart after 2 hours :
Distance = speed * time
Distance moved by Prius = ( 50mph × 2hr) = 100 miles
Distance moved by Circuit = ( 45mph × 2hr) = 90 miles
Hence Displacement after 2 hours :
d = √(100² + 90²)
d = √10000 + 8100
d = √18100
d = 134.536 miles
Distance d in miles after t hours :
d = √[(50t)² + (45t)²]
The ladder in a fire station is 29 feet (ft) tall. The ladder is anchored to the basement floor and the second floor ceiling. The basement floor is 12 feet below ground level. Identify the integers of the ends of the ladder below and above the basement floor
Answer:
top = 17ft
bottom = -12ft
Step-by-step explanation:
As seen in the badly drawn picture attached in this question we are trying to find the point at the top of the ladder and the point at the bottom of the ladder. As seen in the picture ground level has an altitude of 0 ft meaning that lower than this would be in the negatives. Since the basement floor is 12 feet below ground level then this point would be -12 ft. Now since we know that the ladder is 29ft tall we simply add this height to the basement floor value to get the value of the 2nd floor ceiling (top of the ladder).
29ft + ( -12ft) = 17ft
Therefore we can see that the point at the top of the ladder is 17ft.
An object is moving at a speed of 63 centimeters every 2 days. Express this
speed in meters per hour. Round your answer to the nearest hundredth.
Given :
Distance covered by object , D = 63 cm .
Time taken to cover distance D , t = 2 days .
To Find :
The speed of object in m/s .
Solution :
First we will convert all units into m and hours .
D = 63 cm = 0.63 m .
[tex]t=2\ days =2\times 24\ hours =48\ hours[/tex] .
Now , speed is :
[tex]s=\dfrac{D}{t}\\\\s=\dfrac{0.63}{48}\ m/hours\\\\s=0.013\ m/hours[/tex]
Hence , this is the required solution .
Answer:63
Step-by-step explanation:
Solve for pi please.
Answer:
2A / r^2 = pi
Step-by-step explanation:
A = 1/2 pi r^2
Multiply by 2
2A = pi r^2
Divide by r^2
2A / r^2 = pi r^2/r^2
2A / r^2 = pi
Please please help me the correct answer will be marked as the brainliest. 1.The first term of a sequence is 5 and the term-to-term rule is multiply by -3. a.Write the first five terms of the sequence. b.Work out the difference between the second and forth terms. 2. The answer to a calculation is-24. Write four different calculations that each give an answer of -24. use each sign+,-,×,÷ at least once.
Answer:
Step-by-step explanation:
One
Part A
5, -3*5, (-3)^2 * 5, (-3)^3*5, (-3)^4 * 5
5, - 15, 45, -135, 405
Part B
Second term = -15
Fourth term = -135
The difference = -15 - (-135) = 120
Two
(4 + 2)*(6-2)/(-1)
(8/2) * (5 + 1) * (2 - 1)/(-1)
(16/4) * (3+3) * (2 -1) / (- 1)
(30 - 6) * (0 + 1) / - 1
At 8 a.m. the temperature was 56°F. By noon a storm had arrived, and the temperature was 43°F. Which describes the change in the temperature from 8 a.m. until noon?
Answer:
13°F
Step-by-step explanation:
Given that,
Initial temperature = 56°F
Final temperature, = 56°F
We need to find the change in temperature. It is equal to the difference between final temperature and the initial temperature. So,
[tex]\Delta T=T_f-T_i\\\\\Delta T=43^{\circ}F-56^{\circ} F\\\\\Delta T = 13^{\circ} F[/tex]
So, the change in temperature is 13°F.
Answer:
13°F
Step-by-step explanation:
Does 0.63 terminate please answer?
Solve for h. -18+7h>12+9h
Answer:
[tex]h<-15[/tex]
Step-by-step explanation:
[tex]-18+7h>12+9h[/tex]
Add 18 to both sides:
[tex]-18+7h+18>12+9h+18[/tex]
[tex]7h>9h+30[/tex]
Subtract 9h from both sides:
[tex]7h>9h+30[/tex]
[tex]-2h>30[/tex]
Multiply both sides by -1 and flip the symbol:
[tex]\left(-2h\right)\left(-1\right)<30\left(-1\right)[/tex]
[tex]2h<-30[/tex]
Divide both sides by 2:
[tex]\frac{2h}{2}<\frac{-30}{2}[/tex]
[tex]h<-15[/tex]
Let f(x)=5x+4 and g(x)=x^2-7x+12
Perform the function operation f(x)•g(x)
Answer:
Step-by-step explanation:
(5x + 4)(x^2 - 7x + 12)
5x^3 - 35x^2 + 60x + 4x^2 - 28x + 48
5x^3 - 31x^2 + 32x + 48
ariel Is making bracelets to sell at the stand during her school fall festival. she bought 15 1/6 and long and a 12 1/3. if each bracelet requires 1/2 of a foot of a string how many bracelets can aerial make
Number of bracelets she can make from 15 1/6 = 91/6 foot of string is :
[tex]n_1=\dfrac{\dfrac{91}{6}}{\dfrac{1}{2}}\\\\n_1=30.33[/tex]
So, number of bracelets from 15 1/6 foot string are 30.
Now,
Number of bracelets she can make from 12 1/3 = 35/3 foot of string is :
[tex]n_2=\dfrac{\dfrac{35}{3}}{\dfrac{1}{2}}\\\\n_2=23.33[/tex]
Number of bracelets from 12 1/3 foot string are 23.
Therefore, total number of bracelets she can make is 23 + 30 = 53.
Hence, this is the required solution.
Can you explain why -5.5 x -5.5 = 30.25 if 5x5 equals 25???? Why is it 30 and not 25??? Please show math.
What is the first step in solving the equation.*
1 pont
2(x + 1) = 8x – 5
Answer:
Distribute
Step-by-step explanation:
The first step in solving this equation is distribute (get rid of parentheses):
2x + 2 = 8x -5
Hope this helps ^^
What is the area of the figure? I need help ASAP. I will mark brainlest!!
Answer:
Picture explains all, 252.
Step-by-step explanation:
Which statement is true?
Answer:
The Answer is g. I may be wrong.
Which features describe the graph? Select all that apply. Group of answer choices positive: (–2, 2) range: (–3, 4] domain: (–3, 3] decreasing: (–1, 4) negative: (–3, –2), (2, 5] increasing: (–3, –1)
Answer:
A,B,C,F
Step-by-step explanation:
The correct answer would be options (A), (B), (C), and (F)
(A) positive: (–2, 2)
(B) range: (–3, 4]
(C) domain: (–3, 3]
(F) increasing: (–3, –1)
What are the domain and range of the function?The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.
The vertical span of the range is from y > -3 to y = 3. The interval for this is [(-3, 3].
The horizontal range, from x > -3 to x = +4, represents the domain. This is represented by the interval [(-3, 4].
The graph decreases to the right, it gets smaller. There is no mention of the endpoints. The x values are in the range (-1, 4).
The graph is increasing where it goes up to the right. The endpoints are generally not included. The x-values are in the interval (-3, -1).
The region of the graph that is above the x-axis is positive. The interval contains x. (-2, 2).
Learn more about the domain and the range here:
brainly.com/question/21027387
#SPJ2
1. Write 6 x 104 in standard form.
O 600
O 6,000
O 60.000
O 600.000
the answer is 60,000
For Connexus students:
1. 6,0000
2. 2,300
3. 9.68 x 10 to the 5th power
4. 8.6 x 10 to the 3rd power
5. the number of places to move the decimal point to the right
n-8=-4+5n solve for n.
Step-by-step explanation:
Hey there!!!
Here,
Firstly, Shift n to right side and -4 to the left side, because we always try to have variable as positive.
[tex] - 8+4 = + 5n-n[/tex]
Now, Simplify them.
[tex] - 8 + 4 = 5n - n[/tex]
[tex] - 4 = 4n[/tex]
You should divide now.
[tex]n = \frac{ - 4}{4} [/tex]
Therefore the value of n is -1.
{ As now you can keep it on left side. We generally find the vallue of variable by keeping it on left side. But we kept it right side in solution to avoid our confusion because if we kept it on left side and you would get harder to find the value at last as we need to transpose (-) to the right side value of n}.
Hope it helps...
What is the slope of a line passing through points (-7,5) and (5,-3)?
We can use the given points to solve for the slope.
Slope formula: y2-y1/x2-x1
-3-5/5-(-7)
-8/12
-4/6
-2/3
Best of Luck!
A box contains nine cards labeled J ,K ,L ,M ,N ,O ,P ,Q , and R. One card will be randomly chosen. What is the probability of choosing a letter from M to P?
Answer:
I think the answer is O
Colby has $100. He buys five CD's that cost x dollars each, and then he buys
three DVD's for y dollars each. Write an algebraic expression for the amount
of money he has remaining (in terms of x and y).
Answer:
100-(5x+3y)
Step-by-step explanation:
100-(5x+3y) 5 cds cost x dollars plus 3 costs that cost y dollars equals the total amount of money he spends then subtract by 100 to find how much he has left
2(2t+4)=3/4(24-8t) What does t equal?? plz help!!! thank you so much
Answer:
T= -5
Step-by-step explanation:
2(2t+4)= 3/4(24-8t)
4×2(2t+4)= 4×3/4(24-8t)
16t+32=72-32
16t-24t=72-32
-8t=40
therefore t equals negative five.
i hope you understand.
Poonam is five times as old as Shalini. The sum of their ages is 72
Answer:
Shalini = 12
Poonam = 60
Step-by-step explanation:
Let p = poonams age
Let s = shalini's age
p = 5s
p+s = 72
Substitute the first equation into the second equation
5s+s = 72
Combine like terms
6s= 72
Divide by 6
6s/6 = 72/6
s = 12
p = 5s =5*12 = 60
Shalini = 12
Poonam = 60
2. 6x3 +7 -1x4 =
3. 12 = 4 +2x5 =
4. 14 - 6 - 2x10 =
5. 3x4 +10 = 2 =
Answer:
2. 21
3. no is 14
4. 0
5. 22
What is the Range?
х. y.
1. 3
1. 4
3. 5
5. 6
Read the word problem below.
Answer:
Step-by-step explanation:
Number 4if x represent the numbers of pencils per box solve the equation 8x4=196so,she put 4 in each boxsolve for the equation 3x+2=8
I'm Pretty Sure The Answer Is x=2
Hope This Help's
Answer:
2
Step-by-step explanation:
When subtract the 2 from the right side and subtract it from the right side, then divide three from the left side and then divided it from the right side, then you should end up with x=2
Divide 5 3/4÷1 1/2. Answer: 3 5/6 4 1/4 7 1/4 8 5/8
Answer:
[tex]3\frac{5}{6}[/tex]
Step-by-step explanation:
Convert each mixed number into an improper fraction: 5 3/4 = 23/4, 1 1/2, 3/2Re-write it: 23/4 ÷ 3/223/4 ÷ 3/2 = 23/4 × 2/323/4 × 2/3 = 46/12Simplify: 46/12 = 23/623/6 = 3 5/6I hope this helps!
The the navy pier ferris wheel in chicago has a circumference that is 56% of the circunference of the first ferris wheel built in 1893.
a. To the nearest foot, the radius of the Navy Pier Wheen is # feet. What is the radius of the navy pier wheel?
b. To the nearest foot, the radius of the first Ferris wheel was # feet. What was the radius of the first ferris wheel?
c. To the nearest tenth, the wheel was moving at a speed of # feet per minute. The first ferris wheel took nine minutes to make a complete revolution. How fast was the wheel moving?
Answer: 765
Step-by-step explanation:
area of a isocles triangle whose both sides are 5 cm and one side 4cm
Answer:
9.17cm (3s.f.)
Step-by-step explanation:
Using Pythagoras Theorem,
5² = 2² + (Height of Triangle)²
Height of Triangle = 4.5826cm (5s.f.)
Area = ½ × 4 × 4.5826
= 9.1652cm (5s.f.)
= 9.17cm (3s.f.)
6) Eli had mini-golf scores of -3, -4, and - 3. What was his total score for the three
rounds?
*
Answer:
You just have to add them, -10 is the answer
Step-by-step explanation:
-3+ -4 = -7
-7+ -3 = -10
Hope this is right :)
Can someone please help I’m very confused
y + 6 = 4/3(x - 2)
First, distribute the 4/3
y + 6 = 4/3x - 8/3
Subtract 6 from both sides.
y = 4/3x - 26/3
-26/3 is the y-intercept so start the graph at coordinate (0, -26/3)
After you plot the y-intercept, add 4 to they y-coordinate and 3 to the x-coordinate of the y-intercept to get the next point.
0 + 3 = 3
-26/3 + 4 = -14/3
The next point should be at (3, -14/3)
Add as many points as your professor requires.
Answer:
(0, -26/3) (3, -14/3)
Step-by-step explanation:
y+6 = 4/3x - 8/3
y = 4/3x - 26/3
(0, -26/3)
-26/3 + 4 = -14/3
(3, -14/3)