The distance between Rachel and Amos after one hour is 15 miles.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Distance travelled by Rachel after one hour = 9 mph * 1 h = 9 miles
Distance travelled by Amos after one hour = 12 mph * 1 h = 12 miles
Let x represent the distance between Rachel and Amos, hence:
x² = 9² + 12²
x = 15
The distance between Rachel and Amos after one hour is 15 miles.
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Using the Pythagorean Theorem, they will be 15 miles apart after one hour.
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
For this problem, considering their directions, their distance is the hypotenuse of a right triangle of legs 9 miles and 12 miles, hence:
[tex]d^2 = 9^2 + 12^2[/tex]
[tex]d = \sqrt{9^2 + 12^2}[/tex]
d = 15 miles
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which of the following rational functions is graphed below
Answer: id say its c
Step-by-step explanation:
Therefore, the correct option is (b) i.e., [tex]F(x)=\frac{1}{x(x-2)}[/tex].
What are the graphs?
A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.
As per the given information the correct equation is
[tex]F(x)=\frac{1}{x(x-2)}[/tex]
Draw the graph of the given equation is
Hence, the correct option is (b) i.e., [tex]F(x)=\frac{1}{x(x-2)}[/tex].
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21.6% of all registered doctors were female, if there were 45,200 females registered doctors that year, what was the total number of registered doctors? Round your answer to the nearest whole number
Answer:
209259
Step-by-step explanation:
45200 / 21.6 = 209259.259259
209259.259259 rounded to nearest whole number = 209259
drag the tiles to the correct boxes to complete the pairs. Solve the inequalities for x, and match each solution to its number graph.
Inequalities are used to represent unequal expressions.
The inequalities are given as:
[tex]x - 99 \le -104[/tex]
[tex]x - 51 \le -43[/tex]
[tex]150 + x \le 144[/tex]
[tex]75 < 69 - x[/tex]
Start by solving for x in all the inequalities
[tex]x - 99 \le -104[/tex]
Make x the subject: Add 99 to both sides
[tex]x \le 99 - 104[/tex]
[tex]x \le -5[/tex]
[tex]x - 51 \le -43[/tex]
Make x the subject: Add 51 to both sides
[tex]x \le 51 - 43[/tex]
[tex]x \le 8[/tex]
[tex]150 + x \le 144[/tex]
Make x the subject: Subtract 150 from both sides
[tex]x \le 144 - 150[/tex]
[tex]x \le -6[/tex]
[tex]75 < 69 - x[/tex]
Make x the subject: Add x to both sides, and subtract 75 from both sides
[tex]x < 69 - 75[/tex]
[tex]x < -6[/tex]
Hence, the solutions to the inequalities are: [tex]x \le -5[/tex], [tex]x \le 8[/tex], [tex]x \le -6[/tex] and [tex]x < -6[/tex]
See attachment for the number graphs
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Blake has xx dimes and yy nickels. He has a minimum of 13 coins worth at most $1 combined. Solve this system of inequalities graphically and determine one possible solution.
Blake has 5 dimes and 10 nickels.
Let x represent the number of dimes and y represent the number of nickels.
Each dime is worth 10 cent ($0.1) and each nickel is worth 5 cents ($0.05).
Since he has a minimum of 13 coins, hence:
x + y ≥ 13 (1)
It is worth at most $1 combined, hence:
0.1x + 0.05y ≤ 1 (2)
From the graph, a possible solution is (5, 10).
Blake has 5 dimes and 10 nickels.
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132 divided by 0.11 i need help ;-;
Answer:
Step-by-step explanation:
1. 132+0.11
2. Answer is 1200
Entering it in Your Calculator
(132 Divided by 0.11)
= 1200
if f (x) =3(x+3)^2 - 10 then calcutlate f (2)
pls answer todayyy i need help
Answer:
x
=
−
8
−
√
13
3
,
−
8
+
√
13
3
I dont know why the answer is spacing out like this
Given SV//TU and SVX=UTX
Prove: VUTS is a parallelogram
Write a paragraph proof.
Thank you! :)
Answer:
ΔSVX ≅ ΔUTX Given
SV // TU Given
SV ≅ TU Corresponding part of congruent triangle
VUTS parallelogram Definition of parallelogram.
Hint: 1) If any one pair of opposite side is congruent and parallel, then the quadrilateral is parallelogram.
2) If two pair of opposite sides are parallel then it is a parallelogram.
Step-by-step explanation:
one kilogram of cheese costs £9.48
chris buys 650 g of this cheese
work out how much chris pays
Answer: $6.16
Step-by-step explanation:
100g = $0.948
50g = $0.475
$0.948*6 = $5.688
$5.688 + $0.475 = $6.163
Rounded = $6.16
Emily and Andy each go to a hardware store to buy wire the table shows that the cost why in dollars for X inches of the wire they need Emily needs 25 feet of wire and he needs 11 yards of wire how much will each of them spend on wire
Answer:
simple. it is x*y if it is 2 dollar per foot, 25ft would be 50$. 11yards is 33ft *2$=66$. change your values as needed just an example
what is the volume of this prism
Answer: 44?
I think. I am not sure
the interquartile range of the data set is 4. 2, 2, 3, 3, 4, 5, 5, 6, 7, 9, 12 which explains whether or not 12 is an outlier?
Answer:
12 is not an outlier as it is not greater than 13.
Step-by-step explanation:
2, 2, 3, 3, 4, 5, 5, 6, 7, 9, 12
Median = 5
Q₁ = 3 (3rd term in sequence)
Q₃ = 7 (9th term in sequence)
IQR = 4
Outliers are either values significantly larger or smaller than the rest of values;
The upper limit is the value above which it can be considered an outlier, it is found by: Q₃ + ³/₂(IQR)
The lower limit is found by: Q₁ - ³/₂(IQR)
Outliers < 3 - ³/₂(4)
Outliers < -3
Outliers > 7 + ³/₂(4)
Outliers > 13
The lower limit is -3 and the upper limit is 13
Find the hypotenuse of an isosceles right triangle when the legs each measure 3 square root of 2 inches.
Answer:
12
Step-by-step explanation:
3 square root of 2 equals 12
CAN SOMEONE HELP ME PLEASE ASAP!?
my Christmas present to you
Answer:
k wat is it
Step-by-step explanation:
hey guys!! i need help on this one:)
[tex]\huge\underline\mathtt\colorbox{cyan}{Hope it helps...}[/tex]
write an equation in slope intercept form for the line that passes through the given point and is perpendicular to the graph of the equation
(4,2), y=1/2x+1
Answer:
y = -2x + 10
Step-by-step explanation:
Perpendicular slopes are negative reciprocals of each other.
So the given equation is y = 1/2x + 1 , the slope is 1/2. Therefore the perpendicular slope is -2.
Use slope-intercept form y = mx +b, substitute the slope = -2 and point (4, 2) into the slope-intercept form. After that solve for b
y = mx + b
2 = -2(4) + b
2 = -8 + b
10 = b
The answer is y = -2x + 10
The x-intercept of the graph of f(x)= 3 log (x+5)-2 is
Answer:
26
Step-by-step explanation:
do the math
Disney is hiring new employees. They currently employ 2,550 workers and want to hire
10 new workers per day. How many days will it take them to have employed 5,000
workers?
Answer:
I think it is 500
Step-by-step explanation:
5000 / 10 = 500
If you need 10 cups of flour for every 6 cups of sugar, how much sugar do you need if you have only one cup of flour?
Answer:
2/3
Step-by-step explanation:
1/(3/4)=4/3(4/3)2.5
10 cups/=3.333
What is the missing angle of the triangle 48° 58°
Answer:
74 degrees
Step-by-step explanation:
Start w/180 degrees. (The total measure of a triangle.) Then subtract 106 (the sum of the 2 known angles) from 180. We then get 74 degrees (The measure of the missing angle)
Select all the correct answers.
Which equations represent functions?
please help i will give brainliest
Answer:
Step-by-step explanation:
C
Question 3 of 10
Which symbol would best replace the question marks below?
17? 33 ? 59 ? 63 ? 87? 92
A. =
B. <
C. >
SUBMIT
Answer:
B. <
Step-by-step explanation:
Each number in the sequence is greater than the previous number so the correct answer is b. <
Solve the system of inequalities by graphing.
12x+6y≥15
2x-4y>8
Answer:
?
Step-by-step explanation:
5c−4c+c equavilent like terms
Answer:
yes they are like terms
Step-by-step explanation:
they are like terms as the variables are same 5c-4c+
Hello there!
Solve by Combining Like Terms:[tex]5c-4c+c[/tex][tex]5c-3c[/tex][tex]2c[/tex]Therefore, 2c is the answer.Hope it helps.
Good luck with your studies.
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~A lonely teen who helps people joyfully
Grace
If the width of the rectangle is three times the lengthAnd a perimeter is 72 feet What are the length and width of the rectangle
Answer:
Width = 27
Length = 9
*You might of switched width and length around please check*
Step-by-step explanation:
Width = 3x
Length = x
Perimeter Formula
2(3x+x) = 72
2(4x) = 72
8x = 72
x = 9
Since X was found, plug it in to find the width and length
3(9) = 27
x = 9
Can some one help? This is sooooooo hard
Answer:
median is a hight of a triangle
How many 4 ounce servings can I make from a 2/38 pound salmon. Someone please help! I'm super stumped!
How can you use congruent triangles to prove the statement true?
PLEASE HELP I BEG IMMA FAILLLLLLLLL
A rectangular garden is 40 ft wide and 55 ft long. On a blueprint, the width is 8 in. Identify the length on the blueprint.
Answer:
11
Step-by-step explanation:
First, you set up the proportion for the garden, 40/55 (width/length). Then, right beside it, you set up the proportion for the blueprint garden, 8/x (x because this is the answer we are trying to find). You can then do a scale factor to find the answer and the scale factor is 5 ( because 40 divided by 5 is 8) so you can divide 55 by 5 to get 11!! I hope this helps bro!! :D
