Answer:
Step-by-step explanation:
1. A grand tour of four cities begins at city A and makes successive stops at cities B, C,
and D before returning to city A. If the cities are located as shown in the
accompanying figure, find the total distance covered on the tour. The units are in
miles.
0-900,800)
400,300)
D1-800,0)
ALOO
Using distance between two points, it is found that the total distance covered on the tour is of 3400 miles.
Given two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], their distance is given by:
[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
In this problem, the formula is used to find the distance covered on each tour, hence:
[tex]d_{AB} = \sqrt{(400 - 0)^2 + (300 - 0)^2} = 500[/tex]
[tex]d_{BC} = \sqrt{(-800 - 400)^2 + (800 - 300)^2} = 1300[/tex]
[tex]d_{CD} = \sqrt{(-800 - (-800))^2 + (0 - 800)^2} = 800[/tex]
[tex]d_{DA} = \sqrt{(0 - (-800))^2 + (0 - 0)^2} = 800[/tex]
Then, the total distance is given by the sum of each separate distance, hence:
[tex]d = d_{AB} + d_{BC} + d_{CD} + d_{DA} = 500 + 1300 + 800 + 800 = 3400[/tex]
The total distance covered on the tour is of 3400 miles.
You can learn more about distance between two points at https://brainly.com/question/25929988
Simplify the expression. Explain each step 7(4y)
Answer: 28 y
Step-by-step explanation: All you really have to do is multiply 7 by 4y. 7(4y) 28y
so tell me how many assignments are you missing?
I have like 27 missing assignments
Given f(x) = 2x2 – 9x+2, g(x) = 1 – 6x, and
h(x) = x² – 4, find the following function:
=
(hof)(x)
Answer:
2×2=4
9x+2=11x
1-6x=4x
x²-4=16
=16¹⁵x
A bag only contains 4 red and 6 blue marbles. What is the probability of drawing a green marble?
NO LINKS OR TROLL
THIS IS YOUR WARNING
Answer:
0% chance
Step-by-step explanation:
there are no green marbles
Marbles no
red=4blue=6green=0There is no green marbles
So it will never occur(impossible event)
Probability is 0Laura just became a personal trainer and is finalizing her pricing plans. One plan is to charge
$55 for the initial consultation and then $41 per session. Another plan is to charge $50 for the
consultation and $46 per session. Laura realizes that the two plans have the same cost for a
certain number of sessions. How many sessions is that? What is that cost?
Using algebraic equations:
the number of sessions that will give same cost for both plans is: 1
the cost is: $96
Translate the situation into algebraic equations.
Let y = Total cost x = number of sessionsEquation for total cost of the first plan:
y = 41x + 55
Equation for the total cost of the second plan:
y = 46x + 50
To find the number of sessions that would yield same cost for both plans, make both equations equal to each other and solve for x.
41x + 55 = 46x + 50
Combine like terms together41x - 46x = - 55 + 50
-5x = -5
x = 1
For a session, both plans will yield the same cost.
The cost 1 session will yield for both:
41x + 55 = 46x + 50
Plug in the value of x41(1) + 55 = 46(1) + 50
96 = 96
Therefore, using algebraic equations:
the number of sessions that will give same cost for both plans is: 1
the cost is: $96
Learn more about algebraic equations on:
https://brainly.com/question/10612698
Can someone help me please?? It’s due on thursday ❤️ (rotate picture if u can)
Answer: The two companies never charge the same amount to rent a bicycle for the same number of hours.
Steven has $150. John has J dollars. Steven has 30 less than 2 times the amount John has. How much does John have?
Answer:
J = 90
John has 90 dollars.
Step-by-step explanation:
We need to find how much money John has. To find how much J equals we need to break it down.
We already know that Steven has 150 dollars. We also know that he has 30 less than two times the amount John has.
Steven has 30 less than two times the amount John has.
So 150 + 30 = 180
180 is two times the amount John has.
Because 180 is two times the amount John has we need to divide by two.
180 ÷ 2 = 90.
J = 90. Therefore John has 90 dollars.
This question was tricky! I hope I helped a little! Have a great day!!
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
1 in : 50 mi
Step-by-step explanation:
You can eliminate the choices that don't make any sense by comparing the given numbers to the offered choices:
given:
15 in : 750 mi
__
A. 1 in : 50 mi . . . . . . . . equivalent to dividing the given ratio numbers by 15
B. 15 in : 100 mi . . . . . . same inches, wrong miles
C. 1 in : 750 mi . . . . . . . wrong inches, same miles
D. 1 mi : 50 in . . . . . . . . both inches and miles are wrong (the ratio has the units swapped)
__
In the given ratio, the numerical number of miles (750) is 50 times the numerical number of inches (15). This is the ratio you're looking for among the answer choices. You need to pay attention to both the numerical values and their associated units.
I NEED SOME HELP WITH SOME MATH ASSIGNMENTS ANYONE WILLING TO HELP ?
A salad dressing recipe calls for ¾ cup of oliva oil for every ½ cup of vinegar. How many cups of vinegar are needed for 2 cups of olive oil?
Answer:
[tex]1\frac{1}{3}[/tex]
Step-by-step explanation:
Write a proportion comparing the Oliva Oil to Vinegar = Oliva Oil to Vinegar.
[tex]\frac{3/4}{1/2} = \frac{2}{?}[/tex]
3/4 ? = 2(1/2)
3/4? = 1
? = 1 ÷ 3/4
? = 1 × 4/3
? = 4/3
[tex]? = 1\frac{1}{3}[/tex]
Which of the following solution sets represent the inequality 3-1/2x>10?
[tex]3- \dfrac 12 x >10\\\\\implies - \dfrac x 2> 10 -3\\\\\implies -\dfrac x 2 >7\\\\\implies -x > 14\\\\\implies x<-14\\\\\text{Interval solution,}~ (-\infty,-14)[/tex]
please answer even if there is already 1, last time i asked this i put a lot of points and a bot took them and i dont have time to wait for a second answer. im giving half points this time, 50, and i will give brainliest. dont be a cheapskate fishing for points either, dont answer if ur not gonna try. im sick of people doing that i just need help. its much appreciated if you can.
every year in delaware there is a contest where people create cannons and catapults designed to launch pumpkins as far in the air as possible. the equation y = 15 + 110x - 16x^2 can be used to represent the height, y, of a launched pumpkin, where x is the time in seconds that the pumpkin has been in the air. what is the maximum height that the pumpkin reaches? how many seconds have passed when the pumpkin hits the ground? (hint: if the pumpkin hits the ground, its height is 0 feet)
a. the pumpkins maximum height is 204.06 feet and it hits the ground after 7.01 seconds.
b. the pumpkins maximum height is 3.44 feet and it hits the ground after 7.01 seconds.
c. the pumpkins maximum height is 204.06 feet and it hits the ground after 3.44 seconds
d. the pumpkins maximum height is 3.44 feet and it hits the ground after 204.05 seconds.
Answer:
The answer would be A
Step-by-step explanation:
a. the pumpkins maximum height is 204.06 feet and it hits the ground after 7.01 seconds.
A forest covers 74,000 acres. A survey finds that 0.8% of the forest is old-growth trees. How many
acres of old-growth trees are there?
Answer:
592
Step-by-step explanation:
0.008(74,000)
592
Hope this helps!!
If I am wrong please tell me I enjoy learning from my mistakes:)
Answer:
592
Step by step explanation:
0.8% = [tex]\frac{8}{1000}[/tex]
8 out of every 1000 trees are old
74 * 8 = 592
If $400 Is The Principle and is paid for 2 years at 4% how much is the compound interest
Answer:
=$32
Step-by-step explanation:
Principal Amount=$400
Rate=4%
Time=2 Years
Interest=?
=RPT/100
=4x400x2/100
=$32
....................................................................
how to turn x+7y=20 into y=mx+b
Answer:
y = -1/7x +20/7
Step-by-step explanation:
Solve for y.
7y = -x +20 . . . . . subtract x from both sides to get the y-term by itself
y = -1/7x +20/7 . . . . divide both sides by the coefficient of x
In this form, you can see ...
m = -1/7b = 20/7 = 2 6/7Answer:
y=-1/7x+20/7
Step-by-step explanation:
So they are asking us to put x+7y=20 into slop-intercept form (y=mx+b).
They're pretty much just asking us to solve for y.
x+7y=20
7x=20-x (Subtract x from both sides)
y=20-x/7 (Divide 7 on both sides to isolate y)
y=20/7-1/7x
y=-1/7x+20/7
So..
m=-1/7
b=20/7
Hope this helps :)
Simplify these expressions
a) x^5 x x^2
b) y^5 x y
Find the slope of the line that passes through (3, 3) and (9,8). Simplify your answer and write it as a proper fraction, improper fraction, or integer
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
In order to find the answer, you need to use the slope formula, substitute, subtract, and simplify if needed.
Slope formula = [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]
[tex]\frac{y^2-y^1}{x^2-x^1}=\frac{8-3}{9-3}[/tex]
[tex]8-3 = 5[/tex]
[tex]9-3 = 6[/tex]
= [tex]\frac{5}{6}[/tex]
Hope this helps.
please help.
with the steps
Answer:
-4/243
Step-by-step explanation:
Your calculator can do this.
You know that 3³ = 27 and (-3)³ = -27. You also know that 3² = 9, and that anything to the zero power is 1. With these facts, you can simplify the expression to ...
[tex]\dfrac{\sqrt[3]{-27}-27^0}{3^3\times3^2}=\dfrac{-3-1}{27\times9}=\boxed{-\dfrac{4}{243}}[/tex]
What is the slope of a line that is perpendicular to the line that passes through the points (4, 7) and (9, 3)?
Answer:
5/4
Step-by-step explanation:
The original line is
7 - 3 / 4 - 9
4/-5, so the slope is -4/5
Perpendicular means the opposite sign and reciprocal.
5/4
HELP what is the slope
Answer:
D
Step-by-step explanation:
The line starts at 10 so I think it's that
Answer:
Slope of a line
m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}
m = slope
(x_1, y_1) = coordinates of first point in the line
(x_2, y_2) = coordinates of second point in the line
Step-by-step explanation:
Khan Academy
Slope review | Algebra (article) | Khan Academy
Y'all i need some help with this.
Answer:
Divide everything by 100.
Step-by-step explanation:
If you divide every number you want by 100, you get a decimal out of 100.
Each exterior angle in a regular polygon has a measure of 18. How many sides does the polygon have? What is the sum of the measures of the interior angles?
Answer:
20 sides ( Icosagon )
3240 is the interior angles sum
Step-by-step explanation:
360 ÷ 18 = 20
180 - 18 = 162
162*20 = 3240 is the interior angles sum
3/4 in simplest form WILL GIVE BRANLYEST!!!
Answer:
3/4 is in it's simplest form
Step-by-step explanation:
3/4 cannot be simplified any more, so it is at it's simplest form
The sum of 6 and a number is 3
Answer:
Hey mate....
Step-by-step explanation:
This is ur answer....
The other number is 3.....Hope it helps!
Brainliest pls!
Follow me! :)
Graph the following features:
Slope = -3
• Y-intercept = -4
Answer:
maybe (-3,-4)?
Step-by-step explanation:
find the equation of the line with slope of 2 passing through (3,1)
Answer:
y = 2x - 5
Step-by-step explanation:
Help me: Solve: z^4 = -4
All answers should be in the format a+bi where a and b are real numbers
z²-2i=0
Answer:
Solution given:
z⁴=-4
doing square root on both side
[tex]\sqrt{z⁴}=\sqrt{2²*-1}[/tex]
we know i²=-1
substituting i² we get
z²=[tex]\sqrt{2²*i²}[/tex]
z²=2i
z²-2i=0 is a required answer. where
z² and 2 is real number.
Answer:
z = {-1 -i, -1 +i, 1 -i, 1 +i}
Step-by-step explanation:
Using Euler's formula, we can write the equation as ...
z^4 = 4e^(i(π +2πn)) . . . . . . where n is any integer
Then the 4th root is ...
z = (√2)e^(i(π +2πn)/4 = (√2)e^(i(π/4 +nπ/2)) . . . . . for n = 0–3
z = √2(cos(π/4+nπ/2) +i·sin(π/4 +nπ/2)) . . . . . for n = 0–3
z = ±1 ±i
z = {1 +i, -1 +i, -1 -i, 1 -i}
_____
Additional comment
Values of n are only needed in the range 0–3, because the answers repeat for values other than those.
which statement about tuition is the most accurate?
Answer:
C. Public colleges are cheaper for in-state residents.
Step-by-step explanation:
May I please receive help?
ok I got you
it is 40