Answer:
12:00 AM
Step-by-step explanation:
Taking the lodge as the center of the coordinate system, the position of each person is:
William: 6+3*t
Nancy: 5*t
Edgar: 12*t
where t is in hours after 10:00 am
Between the positions of William and Nancy, a right triangle is formed, where their distance is the hypotenuse.
WN = √[(5*t)² + (6+3*t)²]
Similarly, Between the positions of Nancy and Edgar:
NE = √[(5*t)² + (12*t)²]
If the distance between Nancy and Edgar is 10 miles greater than the distance between Nancy and Willam, then
NE = WN + 10
√[(5*t)² + (12*t)²] = √[(5*t)² + (6+3*t)²] + 10
With the help of the graph of this equation, we find that t = 1.95 or approximately 12:00 AM
Find the total amount owed, to the nearest cent, for a simple interest loan with a principal of $2950, an interest rate of 7.4% and a time period of 1.5 years. Show
Answer:
A = $ 3,283.44
A = P + I where
P (principal) = $ 2,950.00
I (interest) = $ 333.44
Step-by-step explanation:
A = P(1 + r/n)^nt
Where:
A = Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
R = Annual Nominal Interest Rate in percent
r = Annual Nominal Interest Rate as a decimal
r = R/100
t = Time Involved in years, 0.5 years is calculated as 6 months, etc.
n = number of compounding periods per unit t; at the END of each period
Match the equivalent expressions.
7x − 8y
7x + y
5(x + y) + 6(x − y)
(5x − 3y) − x + 3x − 5y
4(x + y) − 3(x + y)
x − 4x + 6y + (14x − 5y)
11x + y
3x + 3y + 2(2x − y)
11x − y
Answer:
see below
Step-by-step explanation:
5(x + y) + 6(x − y)
Distribute
5x+ 5y + 6x -6y
Combine like terms
11x -y
(5x − 3y) − x + 3x − 5y
Combine like terms
5x -x +3x -3y -5y
7x -8y
4(x + y) − 3(x + y)
Distribute
4x +4y -3x -3y
Combine like terms
x -y
x − 4x + 6y + (14x − 5y)
Combine like terms
x -4x +14x +6y -5y
11x +y
3x + 3y + 2(2x − y)
Distribute
3x+3y +4x -2y
Combine like terms
7x +y
Answer:
5(x + y) + 6(x − y) = 11x − y
(5x − 3y) − x + 3x − 5y = 7x − 8y
x − 4x + 6y + (14x − 5y) = 11x + y
3x + 3y + 2(2x − y) = 7x + y
and there is no match for 4(x + y) − 3(x + y)
Step-by-step explanation:
hope this helps :)
Rewrite using a negative exponent.
5/x ^2
How many dimensions does a plane have?
Ο Α. Two
O B. Zero
O C. One
O D. Three
Answer:
2
Step-by-step explanation:
In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far
How many dimensions does a plane have?
● Α. Two
O B. Zero
O C. One
O D. Three
Match the points on the number line with the rational numbers.
Answer:
A -1 6/8
B -1 2/8
C -0.5
D 1
E 1 5/8
Step-by-step explanation:
match the words that have the same roots. Every word listed has a matching word.
Answer:
Biology- Biography, Mortal-Mortify, Percent-Century, Revise-Adviser, dialogue-monologue.
Step-by-step explanation:
Bio
Mor or Mort
Cent
Vise
Logue
Are all the different latin roots present here.
Answer:
1) biology- biography
2) revise-adviser
3) mortal-mortify
4) percent- century
5) dialogue-monologue.
Step-by-step explanation:
1) Bio-Bio
2) vise-viser
3) mor-mor
4) cen-cen
5) logue-logue
are all matching words.
What is the slope of a line that is parallel to the graph of 4x +1y = 47
Answer:
The answer is negative four
Step-by-step explanation:
4x+1y=47 can be simplified to 4x+y=47.
To find the slope, we solve for Y.
Subtract 4x from both sides.
y=47-4x
Then, move it into standard slope formula, which is y=mx+b
y=-4x+47
HELP ASAP 100 POINTS!!!
The table of values represents the function g(x) and the graph shows the function f(x).
Which statement about the functions is true?
1. f(x) is greater than g(x) for all values of x.
2. f(x) and g(x) have the same y-intercept.
3. f(x) and g(x) intersect at two points.
4.f(x) and g(x) have a common x-intercept.
===========================================================
Explanation:
For me, it helps to graph everything on the same xy coordinate system. Start with the given graph and plot the points shown in the table. You'll get what you see in the diagram below.
The blue point C in that diagram is on the red parabola. This point is the x intercept as this is where both graphs cross the x axis. Therefore, they have a common x intercept.
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Side notes:
Choice 1 is not true due to choice 4 being true. We have f(x) = g(x) when x = 2, which is why f(x) > g(x) is not true for all x.Choice 2 is not true. Point B is not on the parabola.Choice 3 is not true. There is only one known intersection point between f(x) and g(x), and that is at the x intercept mentioned above. Of course there may be more intersections, but we don't have enough info to determine this.-4( x^3 + x^2 -3 ) =
Answer:
[tex]-4x^3-4x^2+12[/tex]
Step-by-step explanation:
Simplify:
[tex]-4x^3-4x^2+12[/tex]
What is the equation of the translated function, g(x), if
f(x) = x2?
g(x) = (x - 4)2 + 6
g(x) = (x + 6)2 - 4
g(x) = (x - 6)2 - 4
g(x) = (x + 4)2 + 6
Answer:
D. g(x) = (x + 4)2 + 6
Step-by-step explanation:
I just took the test and this was the correct answer
What is the radius of a circle given by the equation x2 + y2 – 2x + 8y – 47= 0?
Answer:
8
Step-by-step explanation:
Which are the roots of the quadratic function f(q) = q2 – 125? Select two options.
q = 5
q = -5
q = 3
q = -3
q = 25
Answer:
Step-by-step explanation:
your equation shown above is set up incorrectly in order to solve this i need the right equation you must plug in each number to q to find the right solution
Answer: q=[tex]5\sqrt{5} , -5\sqrt{5}[/tex]
Step-by-step explanation:
the roots (zeros) are the x values where the graph intersects the x-axis. to find the roots (zeros) , replace y with 0 and solve for x.
Bonita drove 8 miles from her home to the library, and then drove back. Graph A shows her distance from home during the trip. Graph B will show her distance from the library during the trip. Complete each statement about Graph B.
Calculate the radius of the circular rug. Use 3.14 for π.
Enter your answer in the box below.
____ feet
Answer:
[tex]\sqrt{\frac{153.86}{3.14} } = r[/tex]
Step-by-step explanation:
a=pir^2
153.86 = 3.14*r^2
[tex]\sqrt{\frac{153.86}{3.14} } = r[/tex]
You're welcome and don't forget to click THANKS
Answer:
\sqrt{\frac{153.86}{3.14} } = r
Step-by-step explanation:
a=pir^2
153.86 = 3.14*r^2
\sqrt{\frac{153.86}{3.14} } = r
If it doesnt work please just tell me :)
Answer:
33units^2 is the answer
Step-by-step explanation:
question in attachment
Answer:
a₁ = 6
Step-by-step explanation:
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]
where a₁ is the first term and r the common ratio
Here [tex]S_{8}[/tex] = 1530 and r = 2, thus
[tex]\frac{a_{1}(2^{8}-1) }{2-1}[/tex] = 1530 , that is
a₁ (256 - 1) = 1530
255a₁ = 1530 ( divide both sides by 255 )
a₁ = 6
If you answer all the questions on the picture I will give brainliest
Answer:
1. 324
2. 610
3. 72
4. 97
5. 20
6. 28
7. 195
Need help on this worksheet
Answer:
1. $1650
2. $1415.52
3. $5540
4. No
5. 145
6. No
Step-by-step explanation:
1. 2230 - 580
2. 157.28 x 9
3. 6630 - 1090
4.
5. 725 - 580
Hope this helps!
If you flip a coin and pick a number tile from a bag of beans containing 6 different numbered beans at the same time, how many possible outcomes are there? A. 4 B. 8 C. 12 D. 16
Answer: C 12
Step-by-step explanation:
ALL possible outcomes
1 tails
2 tails
3 tails
4 tails
5 tails
6 tails
1 Heads
2 Heads
3 Heads
4 Heads
5 Heads
6 Heads
so its 12 total outcomes
Answer:
12
Step-by-step explanation:
go ask edge
How many liters of water should be added to 18 liters of a 14% bleach solution so that the resulting solution contains only 10% bleach?
Answer:
7.2 liters of water must be added to create a 10% bleach solution.
Step-by-step explanation:
18 liters times 14%, or 18 * 0.14, is 2.52. If we want bleach to be 10% of our solution, we can just multiply this number by 10 because 10% times 10 is 100%!! 2.52 * 10 is 25.2. To find how many liters of water you need to add you just find the difference. To do this you subtract your original from your new solution, so 25.2 - 18 = 7.2 liters of water need to be added.
Answer:
7.2 liters of water must be added to create a 10% bleach solution. :)
Step-by-step explanation:
Business women Maya spends 1/4 hours a day on her cell phone. Her husband Larry spends 3/16 hours a day on his cellphone. What is the total time spent on the phone between the couple per day?
Answer:
7/16
Step-by-step explanation:
Mayas time: 1/4
Larrys time: 3/16
Total time: 1/4 + 3/16 LCM = 16 16/4 = 4 16/16 =1
: 1*4/4*4 + 3*1/16*1
: 4/16 + 3/16
: 7/16
Point C has coordinate of -4.
What is the distance of point c from zero?
do complementary angles form straight angles?
Determine which of the following relations is a function.
A.
X Y
-10 10
-5 5
0 0
5 -5
10 -10
B.
X Y
-3 2
-1 1
0 2
0 1
3 4
C.
X Y
-8 -4
-2 -2
1 3
2 4
4 6
D.
X Y
0 2
1 4
2 2
2 6
5 7
Answer:
A. X Y
-10 10
-5 5
0 0
5 -5
10 -10
Step-by-step explanation:
Because it is a relationship involving more than one variable where each input is related to one output. If graphed the line segment would only touch one point at a single time.
Answer: It’s A and C
Step-by-step explanation:
help me i’m in need
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Example: (View attached image below). Table A is a function because each x value has only 1 y value. But Table B is not a function because the x value of 4 has 2 y values.
Answer:
D No, because on x values corresponds to two different y values
Step-by-step explanation:
This is not a function because an input has two different outputs
x=5 has two different y values
whats the circumference in terms of pi?
Answer & Step-by-step explanation:
First, we must know the formula for finding the circumference of a circle.
Circumference = dπ
(d) represents your diameter. In order to find the diameter, you have to multiply the radius by 2 because the radius is half the size of the diameter.
The radius we are given is 15. So well do 15 multiplied by 2.
15 * 2 = 30
Now, since we have ti put the answer in terms of pi, then you are just going to leave 30 as it is and add the pi symbol.
C = 30π
Help me, please!!
If you had a nickel (.05 or five cents) that earned 100 percent interest each day or doubled in value each day. How much would you have after 10 days?
Answer:
Step-by-step explanation:
If the initial amount of nickel is doubling in value each day, it means that the amount of nickel is increasing in geometric progression. The formula for determining the nth term of a geometric sequence is expressed as
Tn = ar^(n - 1)
Where
n represents the common ratio
a represents the first term of the sequence (initial amount)
n represents number of terms in the sequence (days)
r represents common ratio between consecutive terms(days)
From the information given,
r = 2
n = 10
a = 0.05
Therefore, for 10days, T10
T10 = 0.05 × 2^(10 - 1)
T10 = 0.05 × 2^9
T10 = 25.6
Answer:
Having a nickel doubled for 10 days gives 512 nickels, or 2560 cents.
Step-by-step explanation:
Having a nickel doubled in value each day for 10 days, we first write the amount of nickels we have in the first few days, inspect what pattern these numbers take, write a general formula for the sequence formed, and use the formula to find the 10th number easily.
For the first five days we have:
Day1: 1
Day2: 1 + 1 = 2
Day 3: 2 + 2 = 4
Day 4: 4 + 4 = 8
Day 5: = 8 + 8 = 16
...
This is a geometric progression, where the first term is 1, and the common ratio is 2.
The nth term is given as
Tn = ar^(n - 1)
Tn = 1 × 2^(n - 1)
= 2^(n - 1)
That is
Day n = 2^(n - 1)
Day 10 = 2^(10 - 1) = 2^9 = 512 nickels.
But because 1 nickels = 5 cents
512 nickels = 5 × 512 = 2560 cents.
what is the HCF of 98 and 42
solve for 7x2 = 10x
Answer:
x = 0, x = [tex]\frac{10}{7}[/tex]
Step-by-step explanation:
Given
7x² = 10x ( subtract 10x from both sides )
7x² - 10x = 0 ← factor out x from each term
x(7x - 10) = 0
Equate each factor to zero and solve for x
x = 0
7x - 10 = 0 ⇒ 7x = 10 ⇒ x = [tex]\frac{10}{7}[/tex]
Answer:
x = 1.4
Step-by-step explanation:
1. Simplify the left side so you get 14 = 10x
2. Divide the whole equation by 10
3. x = 1.4
GIVING BRAINLIEST
Find the area of the circle if r = 5 meters. Leave the answer in terms of
A =1000 square meters
B)
A =251 square meters
C)
A = 51 square meters
D)
A = 101 square meters
Answer:
The area is 78.54 square meters
Step-by-step explanation:
The area = pi*r² r=5
A=pi*25
A≈78.54 square meters