Answer:
He is 200 meters south of his house.
Step-by-step explanation:
Say north is positive and south is negative, but your answer will be the absolute value. He goes 250m North. He then goes 450m south which would translate into a problem as 250-450=|-200|=200. In simpler terms think of the road as a number line where north is positive and south is negative and your house is zero, you want the distance on the line from zero.
Tyler flies a plane against a headwind for 4320 miles. The return trip with the wind took 12 hours less time. If the wind speed is 6 mph, how fast does Tyler fly the plane when there is no wind?
Answer:
The plane travels at a speed of 66 miles per hour without wind.
Step-by-step explanation:
Tyler trip has to stage, the first one where he went against the wind and the second where he returned with the wind. We know that the wind speed is 6 mph, if we attribute the variable "x" to the speed of the plane without wind, then on the first stage of its trip the total speed relative to the ground was "x - 6", while on the return trip it was "x + 6". We also know that the distance between the trips was the same 4320 miles, but the second stage was 12 hours faster. We will use the average speed formula to solve this problem, this is shown below:
[tex]\text{speed} = \frac{\text{distance}}{\text{time}}[/tex]
For the first trip the speed was:
[tex]x - 6 = \frac{4320}{\text{time}_1}\\\\\text{time}_1 = \frac{4320}{x - 6}[/tex]
For the second trip the speed was:
[tex]x + 6 = \frac{4320}{\text{time}_2}\\\\\text{time}_2 = \frac{4320}{x + 6}[/tex]
Since the time for the second trip was 12 hours less, then if we add 12 to the second equation it should be equal to the first, so:
[tex]time_2 + 12 = time_1[/tex]
[tex]\frac{4320}{x + 6} +12 = \frac{4320}{x - 6}\\\frac{4320}{x+ 6} - \frac{4320}{x - 6} = -12\\\frac{4320*(x - 6) - 4320*(x + 6)}{x^2 - 36} = -12\\4320*x - 25920 - 4320*x - 25920 = -12*x^2+ 432\\-51840 = -12*x^2 +432\\12*x^2 =51840 + 432\\x^2 = \frac{52272}{12}\\x^2 = 4356\\x = 66[/tex]
The plane travels at a speed of 66 miles per hour.
which system of equations has no sulotion?
Answer:
Here is the answer ...... Check out it
Step-by-step explanation:
An inconsistent system of equations is a system of equations with no solution. We can determine if our system is inconsistent in three ways: graphing, algebra, and logic. Graphs of an inconsistent system will have no points of intersection.
Hope it helps ☺️ CLICK on ♥️
Select the ones that correctly demonstrate the operations of scientific notation
Note that more than one option may be correct. Select all the correct answers
A. (4.0 x 103)(5.0 x 105) = 2 x 10^9
B. 4.5x105/9.0x10° = 2 x 10^4
C. (2.1 x 105) + (2.7 x 105) = 4.8 x 10^5
D. (3.1 x 105) - (2.7 x 102) = 0.4 x 10^3
Answer:
A and C
Step-by-step explanation:
A. \
(4.0 x 5.0)(10^3 x 10^5)
20 x 10^8
2.0 x 10^9
B. doesn't work, do not understand last number
C.
(2.1 + 2.7) (10^5 + 10^5) since powers are the same, do not need to change anything
4.8 x 10^5
D.
(3.1 - 2.7) (10^5 - 10^2) since powers are not the same, you need to make them equal
Do not need to subtract powers, hence D is untrue
HELP! 7th grade math! GIVE CORRECT ANSWER AND YOU WILL GET BRAINLIEST!!
Answer:
g = f/2
Step-by-step explanation:
Since it is given that 2 side lengths are the same, the 2 triangles produced are similar triangles. That means the ratio from f to g would have to be half, as the ratio of the similar triangle is 1:2.
The end behaviour for the polynomial function h(x)=−x3+x4−2x+1 h ( x ) = - x 3 + x 4 - 2 x + 1 is: x→−[infinity], y→−[infinity] x → - [infinity] , y → - [infinity] and x→[infinity], y→[infinity] x → [infinity] , y → [infinity] x→−[infinity], y→[infinity] x → - [infinity] , y → [infinity] and x→[infinity], y→[infinity] x → [infinity] , y → [infinity] x→−[infinity], y→−[infinity] x → - [infinity] , y → - [infinity] and x→[infinity], y→−[infinity] x → [infinity] , y → - [infinity] Unable to tell.
Answer:
[tex]\text{As } x \to \infty, y \to \infty,$and as x \to -\infty, y \to \infty[/tex]
Step-by-step explanation:
Given the polynomial function: [tex]h(x)=-x^3+x^4-2x+1[/tex]
To examine its end behavior, we create a table of values that we can then examine.
[tex]\left|\begin{array}{c|c}x&h(x)\\--&--\\-4&329\\-3&115\\-2&29\\-1&5\\0&1\\1&-1\\2&5\\3&49\\4&185\end{array}\right|[/tex]
From the table, we see a repeating pattern of positive values of h(x) with h(1)=-1 being an axis of symmetry.
Therefore, as:
[tex]x \to \infty, h(x) \to \infty\\x \to -\infty, h(x) \to \infty[/tex]
The discriminant of the function is
Answer:
A. is 0
Step-by-step explanation:
When the discriminant is 0, there is one solution to the function, meaning the parabola intersects the x-axis at only one point. Here, that point is (2, 0).
I hope this helps :))
HELP!!!!!! PLZZZ!!!!!HELPPPP
Answer:
x=10
Step-by-step explanation:
set it up and solve
2x-1=x+9
2x=x+10
x=10
Can I get the answer to this?
m<JKL=45°
Please see the attached picture for full solution
hope it helps..
Good luck on your assignment...
Answer:45°
Step-by-step explanation:
Find the area of a circle with radius 7 ft.
Answer:
153.9 ft²
Step-by-step explanation:
The area for a circle formula is πr².
Using the radius, we get:
π×7² =
49π ≈
153.938 ≈ (Using the π key)
153.9 ft²
Answer:153.86
Step-by-step explanation:area of a circle is πr square
That is 3.14×49
=153.86
Train left a station at 835 am and arrives at its destination at 312 pm how long did the journey take
Answer:
5 hours and 50mins
Step-by-step explanation:
8:35 am + 25mins= 9:00am 9:00am+5hours=3:00pm+25mins=3:12pm 25mins+5hours+25mins=5hours and 50 mins
Hope this helps :)
SIMPLIFY (2a^2)^3/4a^4 please help
Answer: 2a^2
Step-by-step explanation:
2^3 = 8
8 / 4 = 2
————————
(a^2)^3 = a^6
a^6 / a^4 = a^2
Rebecca went on a 240 mile trip to a soccer game. On the way back, due to road construction she had to drive 12 miles per hour slower. This made the trip take 1 hour longer. How fast did she drive to the soccer game? She drove _______ mph on the way to the soccer game.
Answer:
20mph
Step-by-step explanation:
because you have to divide 240 by 12 and the answer is 20
We created this inequality to represent how Amy can meet her revenue goals:
-100x2 + 15,750x + 212,500 ≥ 243,600
In this activity, you’ll solve this inequality to find the minimum ticket price Amy should charge to meet her minimum revenue goal.
Part A
Set the inequality greater than or equal to 0.
Part B
Simplify the inequality by dividing by the GCF so the leading coefficient is positive.
Part C
Factor the left side of the inequality by grouping.
Part D
Solve the quadratic inequality. Remember to check any possible solutions for viability.
Part E
What is the minimum number of $2 increases that Amy needs to apply to the ticket price to reach her desired revenue?
Part F
What’s the minimum ticket price that Amy can charge and reach her goal? Recall that the ticket price is represented by 25 + 2x, where x represents the number of $2 increases.
Answer:
x = 2
Price = $29
Step-by-step explanation:
If x is the number of $2 dollars increases, then the minimum number of increases required to meet her goal is:
[tex]-100x^2 + 15,750x + 212,500 \geq 243,600\\-100x^2 + 15,750x -31,100\geq 0\\x^2 -157.5x + 311\geq 0\\x=\frac{157.5\pm\sqrt{157.5^2-(4*1*311)} }{2}\\ x_1= 2\\x_2=155.5[/tex]
The only realistic value is x = 2 $2 increases
If the original price was $25, then the new rice required to reach Amy's goal is:
[tex]P=25+2*2\\P=\$29[/tex]
The minimum ticket price is $29.
Answer: B: 2x^2-315x+622_< 0
C: (2x-311)(x-2)_< 0
("_<" means greaten than for equal to)
What is the value of (4 minus 2) cubed minus 3 times 4? Negative 20 Negative 4 4 20
Answer:
-4
Step-by-step explanation:
(4-2)^3 - 3*4
PEMDAS
P arentheses
(2)^3 - 3*4
E xponents
8 -3*4
MD multiply and divide from left to right
8 - 12
AS add and subtract from left to right
-4
Answer:
-4
Step-by-step explanation:
When solving an expression, use PEMDAS!
4-2 = 2
2^3 (Cubed means to the 3rd) = 8
3 x 4
8-12 = -4
Which situations can represent the expression n + 2?
Answer:
Many situations can do so.
Step-by-step explanation:
Imagine your father gave you $n (n dollars), your mother then gives you $2 dollars. How many dollars do you have now? n+2 dollars.
You have two assignments to complete for this term. Your Physics teacher decides to give you n assignments to do. How many assignments do you need to do to complete the term? n+2 assignments.
On Brainly, you have n points. You answered a Geography question which awarded you 2 points. How many points do you have now? n+2 points.
Hope it helps!
A thirty-five ounce bottle of Pedialyte contains 2,500 mg of dextrose. If a child drinks 7 ounces straight from the bottle, how many mg of dextrose will he consume?
Answer:
500 mg
Step-by-step explanation:
amount of dextrose in 35 ounce Pedialyte = 2500 mg
dividing LHS and RHS by 35
amount of dextrose in 35/35 ounce Pedialyte = 2500 /35 mg = 500/7 mg
Thus,
amount of dextrose in 1 ounce Pedialyte = 500 /7 mg
since we have to find amount of dextrose in 7 ounce Pedialyte
we multiply LHS and RHS by 7
Thus,
amount of dextrose in 1 *7 ounce Pedialyte = 500 /7 * 7 mg = 500 mg
amount of dextrose in 7 ounce Pedialyte = 500 mg
Thus, As child consumed 7 ounces of Pedialyte, He consumed 500 mg of dextrose.
Describe the transformations from the parent function, and define the function of the following graph.
Answer:
From the parent graph f(x) = x², the graph moved horizontally left by 3 units and vertically down by 5 units.
The equation of the new graph is f(x) = (x + 3)² - 5
Step-by-step explanation:
Suzy has 7 separate rings as shown in the figure on the left. She wants to make one open chain as shown in the figure on the right. What is the least number of rings Suzy needs to cut?
Answer:
every other one
Step-by-step explanation:
to put it specifically rings, 2, 4 and 6
First identify the angle RELATIONSHIP, then find the measure of the angle indicated in bold.
Answer:
Alternate Interior Angles; 95°
Step-by-step explanation:
Alternate interior angles have the same measure (meaning they are the same number of degrees.) You can set up an equation to solve for x.
11x - 4 = 9x + 14
+4 +4
11x = 9x + 18
-9x -9x
2x = 18 x = 9 Now substitute 9 into one of the expressions.
11(9)-4
99 - 4 = 95
Check the other expression...
9(9)+14
81 + 14 = 95
Factorize the following :- 12y²_20y+3
Answer:
[tex]\left(6y-1\right)\left(2y-3\right)[/tex]
Step-by-step explanation:
[tex]12y^2-20y+3[/tex]
-20y can be written as -2y + -18y.
[tex]\left(12y^2-2y\right)+\left(-18y+3\right)[/tex]
Factor out 2y from the first expression and factor out 3 from the second expression.
[tex]2y\left(6y-1\right)-3\left(6y-1\right)[/tex]
Factor out the common term 6y-1.
[tex]\left(6y-1\right)\left(2y-3\right)[/tex]
A person places $728 in an investment account earning an annual rate of 4.4%, compounded continuously. Using the formula V = Pe^rt where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 16 years.
Answer:
Step-by-step explanation:
For us,
P = 728,
r = .044,
e is Euler's number (a constant), and
t is 16. Filling in:
[tex]V=728e^{(.044)(16)}[/tex] and
[tex]V=728e^{(.704)}[/tex] and
V = 728(2.02182385) so
V = $1471.89
A person places $728 in an investment account earning an annual rate of 4.4%, compounded continuously. The value of the account in t years is $1471.89.
We have given that,
P = 728,
r = 0.044,
e is Euler's number (a constant), and
t = 16.
What is the formula of the account in t years?The formula of the account in t years is,
[tex]V = Pe^{rt}[/tex]
Use the given value in the above formula,
V = 728(2.02182385)
Therefore we get,
V = $1471.89
Therefore, the value of the account in t years is $1471.89.
To learn more about the account balance visit:
https://brainly.com/question/25987747
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What is the decimal multiplier to decrease by 60%?
Answer:
0.4
Step-by-step explanation:
To decrease something by 60% you multiply by 0.4
Answer:
0.4
Step-by-step explanation:
Say you have an object that costs $100.
Now 60% of $100 is $60.
Subtract $60 from $100 and you get $40.
Now $100 × [tex]x[/tex] = $40
[tex]x=0.4[/tex]
$100×0.4=$40
You need to multiply it by 0.4
90 POINTSSS PLEASE HELP!!!!!
Triangle C D E is translated down and to the right to form triangle C prime D prime E prime. Triangle CDE is translated down and to the right, forming triangle C'D'E'. Which congruency statement is correct?
ΔDCE ≅ ΔD'E'C'
ΔDCE ≅ ΔD'C'E'
ΔEDC ≅ ΔC'D'E'
ΔEDC ≅ ΔC'E'D'
The correct option is (B).ΔDCE ≅ ΔD'C'E'
Given,
Triangle CDE is translated down and to the right, forming triangle C'D'E'.
We have to find which statement is correct.
We know that,Triangle has three angles so when we translated it down it doesn't change.
Since Translation doesn't make change to sides and measure of angles so triangle will remain same after translation.
Translation is also known as shifting of same triangle to new position so there will be no change in the angle or side of the triangle. So
[tex]CD =C'D'[/tex]
[tex]\ CE = \ C'E'[/tex]
[tex]DE =D'E'[/tex]
So,the correct option is (B). ΔDCE ≅ ΔD'C'E'.
For more details follow the link:
https://brainly.com/question/1037400
Answer: It's B. I hope this helps!!!!
What is the value of the expression when n = 3?
GO
- 2 n(5 + n-8-3n)
Answer:
54
Step-by-step explanation:
since n = 3
= -2n ( 5n+n-8-3n)
= -2 (3) ( 5+(3)-8-3(3) )
= -6 (5+3-8-9)
= -6 (5-5-9)
= -6 (-9)
= 54.
Jenny wants to buy a new dress for her first school dance. She borrows $25.63 from her sister to help pay for the dress. Then Jenny earns $16.33 helping her dad organize his home office. If she gives all the earnings to her sister, Jenny will still owe her sister $__ .
Answer:
$9.30
Step-by-step explanation:
If you subtract 16.33 from the total of 25.63 you will have 9.3 or 9.30. (They're the same number.)
If the graphs of the linear equations in a system are parallel, what does that mean about the possible solution(s) of the system
ОА.
There is no solution.
OB.
The lines in a system cannot be parallel.
Ос.
There are infinitely many solutions.
OD.
There is exactly one solution.
Answer:
A
Step-by-step explanation:
The solution to a system of equations given graphically is at the point of intersection of the 2 lines.
If the lines are parallel then they never intersect, thus there can be no solution.
Answer:
ОА.
There is no solution
Step-by-step explanation:
If lines are parallel, they will have no common points, so no solution
Marcus spent 10 hours doing his homework last week. This week he spent 11 hours doing homework. He says that he spent 110% more time doing homework this week. Is he correct?
Answer:
[ 11 - 10 ] / 10 x 100%
= 1 /10 x 100%
= 10%
Only 10% longer
Write your own word problem that involves a multistep linear equation. Then translate your problem into its resulting math equation.
Answer:
The cost of admission to a festival was $112 for 9 children and 3 adults. The admission was $108 for 8 children and 3 adults in another festival. How much was the admission for each child and adult?
Step-by-step explanation:
Simplify this expression. 4x-12/x^2-9
Answer:
4/(x+3)Step-by-step explanation:
write the expression down:
4x-12/x^2-9
factor:
4(x-3)/(x+3)(x-3)
simplify:
4/(x+3)
Gabriella drives her car 300 miles and averages a certain speed. If the average speed had been 9mph less, she could have traveled only 240 miles in the same length of time. What is her average speed?
Answer:
Her average speed is 45 mph
Step-by-step explanation:
Let the average speed be x mph
Time taken complete the journey = distance/ average speed
Time = 300/x
Now , at 9 mph less, she could have only traveled 240 miles in same time
At 9 mph less, the average speed is x-9
so the time would be 240/x-9
since the time is same as before;
300/x = 240/x-9
Divide both sides by 60
5/x = 4/x-9
Cross multiply
5(x-9) = 4(x)
5x - 45 = 4x
5x -4x = 45
x = 45 mph