After a filling meal, Ms. Ironperson and Mr. Thoro went their separate directions. Ms. Ironperson lives due east from the Shawarma Mediterranean Grill and Mr. Thoro lives due south. Both leave at the same time; Ms. Ironperson traveling at 50 mph and Mr. Thoro at 60 mph. If Ms. Ironperson travels at rate of 50t and Mr. Thoro travels at a rate of 60t, what is the correct equation to find how long it will take them to be 400 miles apart?
Answers
Options :
A) 50t + 60t =4002
B) (50t)2+(60t)2 = 4002
C) 50t + 60t = 400
C) 50t2 + 60t2 = 4002
Answer:
400^2 = (50*t)^2 + (60*t)^2
Step-by-step explanation:
Given the following :
Ms. Ironperson:
moves due east
Speed = 50 mph
Rate of travel = 50t
Let time taken = t ; hence Distance covered with respect to time = ( 50 * t) = 50t
Mr. Thoro
moves due South
Speed = 60 mph
Rate of travel = 60t
Let time taken = t ; hence Distance covered with respect to time = ( 60 * t) = 50t
They are moving at right angle from each other, thus, we can apply Pythagoras rule ;
The displacement between them will be = 400 miles which is the hypotenus
From Pythagoras :
Hypotenus^2 = opposite^2 + Adjacent^2
Displacement = distance 1 + distance 2
400^2 = (50*t)^2 + (60*t)^2
Related Questions
Rita bought 6 boxes of chocolates. Each box cost $6.48. How much did she spend?
Answers
Answer:
38.88
Step-by-step explanation:
Take the price per box and multiply by the number of boxes
6.48*6 =38.88
In a study appearing a Science journal, a research team reports that plants in southern England are flowering earlier in the spring. Records of the first flowering dates for 385 species over a period of 47 years show that flowering has advanced an average of 15 days per decade, an indication of climate warming, according the the authors. What is the population of interest? *
Answers
Answer:
Its about plants
Step-by-step explanation:
Which of the following spreadsheets shows the financial plan with the greatest net cash flow?
a.
A
B
1 Cash Inflows
2 Disposable income
$2,350
3 Interest on deposits
SO
4 Income from investments
$0
5 Total Cash Inflow
$2,350
6
7 Cash outflows
8 Rent
$800
9 Utilities
$235
10 Cable and telephone
$125
11 Groceries
$400
12 Car expenses
$320
13 Recreation
$175
14 Insurance
$200
15 Miscellaneous
$80
16 Total Cash Outflow
$2,335
Answers
Answer:
Net Cash-flow = Cash Inflows - Cash Outflows
The net amount of cash that a company has is the difference between the cash coming in(revenue) and the cash going out (expenses).
Spreadsheet 1
= Cash Inflows - Cashflows
= 2,350 - 2,335
= $15
Spreadsheet 2
= Cash Inflows - Cashflows
= 2,270 - 2,260
= $10
Spreadsheet 3
= Cash Inflows - Cashflows
= 2,380 - 2,380
= $0
Spreadsheet 4
= Cash Inflows - Cashflows
= 2,150 - 2,055
= $95
Spreadsheet 4 has the greatest net cash flow at $95.
Answer:The answer is A
ANSWER PLEASE! Hopefully someone can figure out.
Answers
Answer:
B
Step-by-step explanation:
The domain is the input values, that is the x- values
The range is the output, that is the y- values.
Thus using values from table
domain : {- 2, 0, 2 }, range : { - 1, 0, 1 }
Find the domain of the relation represented by the list of ordered pairs below (-2,9), (6,-7), (-9,-5), (-12,10)
Answers
Domain of the relation → {-12, -9, -2, 6}
Given in the question,
List of ordered pairs,
(-2, 9), (6, -7), (-9, -5), (-12, 10)In a ordered pair (h, k), domain is defined by the x-values and range is defined by the y-values.
Therefore, domain of the relation represented by the ordered pairs will be {-12, -9, -2, 6}
Learn more,
https://brainly.com/question/24212724
Which number line represents the solution |2x|-12 =
Answers
Answer:
Third option, last one
Step-by-step explanation:
Let's solve for x first.
|2x| - 12 = -2
|2x| = 10
2x = 10 or -2x = 10
x = 5 or x = -5
The number line that represents this is the last one.
Find x, if 3x − 5(y + x ) ^2 = 16 and 4x + 2(y + x )^ 2 = 30
Answers
Answer:
x = 7
Step-by-step explanation:
Start by solving for [tex](y+x)^2[/tex] which is a common expression for both equations. Then in the first equation:
[tex]3\,x5\,(y+x)^2=16\\3x-16=5\,(y+x)^2\\(y+x)^2=\frac{3\,x-16}{5}[/tex]
and in the second equation:
[tex]4\,x+2\,(y+x)^2=30\\2\,(y+x)^2=30-4\,x\\(y+x)^2=15-2\,x[/tex]
Now we make the two [tex](y+x)^2[/tex] expressions equal so we get:
[tex]\frac{3\,x-16}{5} =15-2\,x\\3\,x-16=75-10\,x\\13\,x=75+16\\13\,x=91\\x=7[/tex]
Evaluate : 9⁴xa⁷b⁴/ 3⁵xa⁴b⁴
Answers
Answer:
27a³
Step-by-step explanation:
9⁴xa⁷b⁴ / 3⁵xa⁴b⁴
(3²)⁴xa⁷b⁴ / 3⁵xa⁴b⁴
3⁸xa⁷b⁴ / 3⁵xa⁴b⁴
3³a³
27a³
POINTS......!!!!
Please answer!!!
Please state the width (part a)
And length (part b)
Answers
Answer:
(a) = 71 cm
(b) = 89 cm
Step-by-step explanation:
(a.)
perimeter of a rectangular field = 324 m
length (l) = 91 m
width (w) = ?
Now,
Perimeter Of Rectangle
= P = 2(l + w)
= 2(91 + w) = 324m
= 182 + 2w = 324m
= 2w = 324 - 182m
= 2w = 142m
= w = 142/2
= w = 71
(b.)
area of rectangular painting = 5696 cm²
width (w) = 64 cm
length (l) = ?
Now,
Area Of Rectangle
A = l × w
= l × 64 = 5696
= l = 5696/64
= l = 89 cm
VERIFICATION:-FOR (a)
= P = 2(l + w)
= P = 2(91 + 71) = 324 cm
FOR (b)
= l × w
A = 89 × 64 = 5696
The function f(x) = –4x2 represents the path of a whale as it surfaces for air and dives again. Select all the observations that are true about the whale’s path.
A. The domain is all real numbers x until the ocean hits the shore.
B. The range is (−∞,−4)
C. There are two points where the whale touches the surface.
D. f is decreasing for the whale's entire path.
E. The point where the whale touches the surface is a maximum.
Answers
Answer:
Option (A) and (E)
Step-by-step explanation:
Characteristics of the quadratic function representing the path of a whale as it surfaces for air is,
y = -4x²
1). Since domain of the given function will be all real number x until ocean hits the shore on both the sides of the path.
2). Range of the function will be the value of y from the bottom of the ocean to the surface.
3). Whale will touch the surface of the ocean at one point only.
4). Function 'f' will increase initially upto the surface of the ocean and then it will decrease.
5). Point where the hale touches the surface will be maximum.
Therefore, Options (A) and (E) will be the correct options.
Answer:
The answer is A and E hope this helps
Step-by-step explanation:
The length of a rectangle is shown below: (look at the picture) If the area of the rectangle to be drawn is 12 square units, where should points C and D be located if they lie vertically below the line that connects B and A, to make this rectangle? C(−2, −1), D(1, −1) C(−2, −4), D(1, −4) C(−2, −2), D(1, −2) C(−2, −5), D(1, −5)
Answers
================================================
Explanation:
The distance from B to A, or vice versa, is 3 units. You can count out the spaces between the points, or you could subtract the x coordinate values then use absolute value
|B - A| = |-2-1| = |-3| = 3
or
|A - B| = |1-(-2)| = |1+2| = |3| = 3
Whichever method you prefer, the distance between the two points is 3 units.
----------
The area of the rectangle is 12 square units, and we know one dimension of the rectangle is 3 units. The other dimension must be 12/3 = 4 units.
Point C is directly below point B. Specifically C is 4 units below B.
Start at B(-2,2) and move down 4 units to get to C(-2,-2). Then move to the right 3 units to get to D(1,-2)
Or you could start at A(1,2) and move 4 units down to get to D(1,-2) and then move 3 units to the left to get to C(-2,-2)
Answer:
Answer choice = B - C(−2, −4), D(1, −4)
A population of bacteria is growing rapidly. The population at any hour, h, can be represented
by the function f(h) = 2 • 4h. What is the population of bacteria after 4 1/2 hours?
Answers
Answer:
36
Step-by-step explanation:
Function is:
f(h) = 2*4hAfter 4 1/2 hours, h = 4 1/2 = 4.5
f(4.5) = 2*4*4.5 = 36Answer:
36
Step-by-step explanation:
4×4.5=18
18×2=36
Which of the following sets of points are coplanar? I'm not sure what the answer is.
Answers
Answer:
The fourth one
Step-by-step explanation:
coplanar means the points on the plane and only B,E,D,C is on the plane
Hence, B,E,D,C is your answer
when factoring 6x^2 -7x-20 by grouping , how should the middle term be rewritten
Answers
Answer: -7x should be written as -15x+8x or 8x-15x
===============================================
Explanation:
Multiply the first coefficient 6 and the last term -20 to get -120
We need to find factors of -120 that add to the middle coefficient -7
Through trial and error you should find that
-15 + 8 = -7
-15 * 8 = -120
Therefore, we break the -7x into -15x+8x
----------------------------
Extra info: if you want to fully factor by grouping, then follow these steps
6x^2 - 7x - 20
6x^2 - 15x + 8x - 20 ... break up -7x
(6x^2 - 15x) + (8x - 20) .... group into pairs
3x(2x - 5) + 4(2x - 5) .... factor each group
(3x + 4)(2x - 5) ..... pull out the overall GCF 2x-5
So 6x^2-7x-20 fully factors to (3x+4)(2x-5)
We can check the answer by FOILing out the last expression above to get the original expression back again. The box method works as well. So does the distributive property.
Please Help I’ve been stuck on these questions for a while now!
Answers
Answer:
written below for problem #2
Step-by-step explanation:
a. ratio is 12:40 since they're are 12 non fiction and 40 graphic novels
b. 40:12 (same reasoning as part a)
c. 6:40 for the ratio of science fiction to graphic novel, 12:6 for the ration of non fiction to science fiction, x:6 for the ratio of the unknown amount of fiction books to the science fiction books. (x is just there as a variable so it just represents fiction books)
in the following graph, AABC is congruent to AA'B'C'. A teacher asks a student Janine to state the
translation rule for this transformation janine focuses on point and states that the translation rule is
(x,y) (x-2, y-6). In other words, to shift from the blue to the red triangle, you must shift each point two
units left and six units down
State whether Janine's answer was correct or incorrect. In at least three sentences, support your
response with a brief explanation. Be sure to use the term transformation in your explanation
Answers
Answer:
Janine's answer is incorrect.
Step-by-step explanation:
Rigid transformations are methods by which the image of a given figure or object can be produced either by rotation, translation, dilation or reflection.
Since Janine used translation method for the transformation, the dimension of the shape is preserved but not its initial position. To translate AABC to AA'B'C', each point should shift three units left and five units down.
Therefore, the appropriate translation rule is:
(x, y) ⇒ (x + 3, y + 5)
3b^2+6b-28
which of the following describes 3 in the expression above
A. quotient
B. coefficient
C. sum
D. product
Answers
Answer:
3 is a coefficient. (Option B)
Step-by-step explanation:
A coefficient in a term is the number placed before the variable. The coefficient multiplies the variable.
In the given expression, 3 would be the coefficient in [tex]3b^2[/tex].
A, C, and D are answers to an expression depending on the expression's operation.
In this case, option B would be the correct answer.
Hope this helps.
Answer:
[tex]\huge \boxed{\mathrm{B. \ coefficient}}[/tex]
Step-by-step explanation:
[tex]3b^2[/tex]
[tex]b^2[/tex] is being multiplied by 3.
A coefficient is a number used to multiply a variable.
How many is (k)/(4)=(3)/(8)
Answers
Answer:
k= 3/2
Step-by-step explanation:
[tex] \frac{k}{4} = \frac{3}{8} \\ \\ k = \frac{12}{8} \\ k = \frac{3}{2} [/tex]
Help me pls 15 points
Answers
PLEASE HELP !
How many ounces are there is 2.59 gallons of lemonade? (There are quarts in a gallon. ) ounces in a quart and 4 quarts in a gallon .)
Answers
Answer:
331.52 oz
Step-by-step explanation:
Google :D
Answer:
a
Step-by-step explanation:
A .......... divides a two dimensional shape in two congruent shapes
Answers
Answer:
A diagonal. (A rectangle is divided into two triangles by a diagonal, for example.)
Hope this helps!
A sports conference has 13 teams. It was proposed that each team play precisely one game against each of exactly seven other conference teams. Prove that this proposal is impossible to implement.
Answers
Step-by-step explanation:
Number of team = 13
Let us consider a graph with 13 vertices, each edge represents a match of two teams.
Total number of edges = 13(13-1)/2 =78 edge
Given conditions:
Each component plays 7 match with 7 other teams.
Total edges in the case = 7(6)/2 =21
Therefore edges in the graph are not equal to edges in the condition.
Therefore impossible to implement
Jan is painting a square canvas. The length of one side of the canvas is 4 feet. Write an equation to show how to show how to find the area of the canvas
Answers
Step-by-step explanation:
It is given that, Jan is painting a square canvas. The length of one side of the canvas is 4 feet.
We need to write an equation to show how to find the area of the canvas.
For a square, all its sides are equal. Let the side is x. The area of a square is given by :
[tex]\text{Area}=\text{side}^2\\\\A=x^2\\\\A=4^2\\\\A=16[/tex]
So, the equation that shows the area of the canvas is [tex]A=x^2[/tex].
Find the mode. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The mode(s) is(are) nothing. (Type an integer or a decimal. Do not round. Use a comma to separate answers as needed.) B. There is no mode.
Answers
Answer:
The mode of the given data is 8.
Step-by-step explanation:
The complete question is: The number of credits being taken by a sample of 13 full-time college students are listed below. Find the mean, median, and mode of the data, if possible. If any measure cannot be found or does not represent the center of the data, explain why.
9, 9, 12, 12, 9, 10, 8, 8, 8, 8, 8, 8, 11.
Find the mode. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The mode(s) is/are nothing . (Type an integer or decimal rounded to one decimal place as needed. Use a comma to separate answers as needed.) B. The data set does not have a mode.
We are given the data for the number of credits being taken by a sample of 13 full-time college students below;
Credits: 9, 9, 12, 12, 9, 10, 8, 8, 8, 8, 8, 8, 11.
Mode tells us that which value in our data set is appearing or occurring the maximum number of times.
As we can see in our data that the occurrence of the following credits are;
9 is occurring 3 times in our data.
12 is occurring 2 times in our data.
10 is occurring 1 time in our data.
8 is occurring 6 times in our data.
11 is occurring 1 time in our data.
Here, it is clear that the credit value of 8 is appearing the maximum number of times in our data set. So, the mode of the given data is 8.
How many solutions are there for the system of equations shown on the graph?
Answers
Answer:
Hey there!
These lines only intersect at one point, so there is only one solution.
Let me know if this helps :)
Answer:
one solution
Step-by-step explanation:
The solutions are where the graphs intersect
There lines cross at one point (0,3), so there is one solution
given that (y+2) (y+3) and (2y^2+1) are consecutive terms of an arithmetic progression, find the possible value of y
Answers
Answer:
-3/2 and 1
Step-by-step explanation:
Given the arithmetic sequence (y+2) (y+3) and (2y²+1), the common difference is gotten by taking the difference in their terms. For example if we have 3 terms T1, T2, T3... the common difference d = T2-T1 = T3-T2
From the sequence given;
T1 = y+2, T2 = y+3 and T3 = 2y²+1
d = y+3-(y+2) = 2y²+1- (y+3)
open the parenthesis
y+3-y-2 = 2y²+1- y-3
1 = 2y²+1- y-3
1 = 2y²- y-2
2y²- y-2-1 = 0
2y²- y-3 =0
Factorize the resulting expression
2y²- y-3 =0
2y²- 2y+3y-3 =0
2y(y-1)+3(y-1) = 0
(2y+3)(y-1) = 0
2y+3 = 0 and y-1 = 0
2y = -3 and y =1
y = -3/2 and 1
Hence the possible values of y are -3/2 and 1
What is the decibel level of a dog barking with intensity 10−5 watts per square inch? Use a logarithmic model to solve.
Answers
Answer:
70 dB
Step-by-step explanation:
D=10log(I10−12)
Substitute in the intensity level, I, and then simplify to find
DD=10log(10−510−12)=10log(107).
Since log107=7, simplify to find
DD=10⋅7=70.
The decibel level is 70dB.
What is the value of 20 + 3 (7 + 4) + 5 + 2 (7 + 9)? PLEASE HELP ASAP
Answers
Answer:
90
Step-by-step explanation:
Over the last three evenings, Lucy received a total of 107 phone calls at the call center. The second evening, she received 3 times as many calls as the third evening. The first evening, she received 7 more calls than the third evening. How many phone calls did she receive each evening?
Answers
Answer:
1st evening = 7 + 20 = 27 calls
2nd evening = 3 (20 ) = 60 call
3rd evening = 20 calls
Step-by-step explanation:
total calls for the last three evenings = 107 phone calls
2nd evening = 3x as many calls as the 3rd evening
1st evening = 7 more calls than the 3rd evening.
find:
how many calls did she receive each evening?
let T (total) = 107
let x = 3rd evening.
let 2nd = 3x
let 1st = (7 + x)
T = 1st + 2nd + 3rd
107 = (7 + x) + 3x + x
107 - 7 = 5x
100 = 5x
x = 100 / 5
x = 20
therefore,
1st evening = 7 + 20 = 27 calls
2nd evening = 3 (20 ) = 60 call
3rd evening = 20 calls
Answer:
1st = 27 calls
2nd = 60 call
3rd = 20 calls
Step-by-step explanation:
total calls = 107 phone calls
2nd = 3x
1st = 7 + 3x
T (total) = 107
T = 1st + 2nd + 3rd
107 = (7 + x) + 3x + x
107 - 7 = 5x
100 = 5x
x = 100 / 5
x = 20
so,
1st = 7 + 20 = 27 calls
2nd = 3 (20 ) = 60 call
3rd = 20 calls
5x - 10 less than it equal to 20
Answers
5x-10 = 20
5x=20+10
5x=30
x= 6