=========================================================
Explanation:
The LCM of 3 and 5 is 3*5 = 15.
Every 15 days, the two people will swim together on the same day.
Day 1 = first day swimming togetherDay 1+15 = Day 16 = second day swimming togetherDay 16+15 = Day 31 = third day swimming togetherAnd so on.
Keep this process going of adding on 15 to find this sequence
1, 16, 31, 46, 61, 76, ...
We stop the sequence once we either reach 70 or go over it because there are 7*10 = 70 days in ten weeks. This assumes we use a 7 day week rather than a 5 day week.
As shown in bold, there are 5 items smaller than 70. So the two people swam together a total of 5 times
-----------------
Alternatively, you can solve 15n+1 = 70 for n to get n = 4.6 which rounds down to n = 4 to represent the set {0,1,2,3,4} which has 5 items in it to represent the five times total they swim together.
n = 0 corresponds to day 15n+1 = 15(0)+1 = 1n = 1 corresponds to day 15n+1 = 15(1)+1 = 16and so on until reaching n = 4 corresponding to day 15(4)+1 = 61.
One winter, a group of students measured snowfall totals at their school. This
chart shows how many inches of snow the students measured each month.
How much total snowfall did they receive at their school that winter?D
MONTH
SNOWFALL
December 3.3
January 10.6
February 2.5
Help pls
Answer:
The answer is 16.4 inches
Step-by-step explanation:
The result is calculated by adding all the values together. 3.3+10.6+2.5=16.4
The exponential function f is given by f(x) = 3x. by what factor does f increase when the exponent x increases by 2? explain how you know. a 3 b 6 c 9 d 12
The exponential function f(x) = 3^x, when x has a value of 2 increases by 9.
What is an exponential function?An exponential function is a function that is in the form: m = ab^x
Where:
a = initial value b = rate of increase x = number of yearsF(x) = 3^x
3^2 = 9
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What is the length of the line segment whose endpoints are A(-1,9) and B(7,4) in the simplest radical form?
length : [tex]\sf \sqrt{89}[/tex]
Explanation:
use the distance formula : [tex]\sf \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
using the formula:[tex]\sf \rightarrow \sf \sf \sqrt{(7--1)^2+(4-9)^2}[/tex]
[tex]\sf \rightarrow \sf \sf \sqrt{(8)^2+(-5)^2}[/tex]
[tex]\sf \rightarrow \sf \sf \sqrt{64+25}[/tex]
[tex]\sf \rightarrow \sf \sf \sqrt{89}[/tex]
Answer:
[tex]\sf \sqrt{89}[/tex]
Step-by-step explanation:
Let A = [tex]\sf (x_1,y_1)[/tex] = (-1, 9)
Let B = [tex]\sf (x_2,y_2)[/tex] = (7, 4)
Distance formula:
[tex]\sf d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Input values into the distance formula and solve for d:
[tex]\sf \implies d=\sqrt{(7-(-1))^2+(4-9)^2}[/tex]
[tex]\sf \implies d=\sqrt{8^2+(-5)^2}[/tex]
[tex]\sf \implies d=\sqrt{64+25}[/tex]
[tex]\sf \implies d=\sqrt{89}[/tex]
show work pls hahhhh
Answer:
27
Step-by-step explanation:
[tex]\frac{3^2\left(2^3+4\right)}{2^2}[/tex]
[tex]\mathrm{Solve\;3^2\cdot(2^3+4):108}[/tex]
[tex]\mathrm{Solve\;2^2:4}[/tex]
[tex]=\frac{108}{4}[/tex]
[tex]\mathrm{Divide\:the\:numbers:}\:\frac{108}{4}=27[/tex]
~Lenvy~
SOMEONE HELP!!!!!!!!!!!!!!!!!1
Answer:
5
Step-by-step explanation:
Determina el grado de y =3r⁵ + 8r³
5
Amy rolls a 12 sided die numbered from one to twelve.
what is the probability amy rolls a multiple of 4 written
as a percent?
To find the probability, we'll need to find the number of possibilities with an outcome that we want, as well as the total number of outcomes.
Multiples of 4: 4, 8, 12
---There are 3 possibilities
Total outcomes: 12
3 / 12 = 1/4 = 0.25 = 25%
Probability Amy rolls a multiple of 4 = 25%
Hope this helps!
In the parallelogram shown, find the measure of ∠A.
Answer: 40 degrees
Step-by-step explanation:
Mai's family is traveling in a car at a constant speed of 65 miles per hour.
a. At that speed, how long will it take them to travel 195 miles?
b. How far do they travel in 30 minutes?
Answer:
a) 3 hr b ) 32.5 miles
Step-by-step explanation:
195 m / 65 m/hr = 3 hr
65 m/hr * 1/2 hr = 32.5 miles
I need help on this question
0.007 kg
Step-by-step explanation:[tex]1000\ grams=1\ kg\\ 7\ grams=0.007\ kg\\ Check\ conversion[/tex]
I hope this helps you
:)
Aiden has 15 pieces of candy in a brown paper bag. 3 are candy bars, 2 are gum, 4 are mints, 5 are chewy candies and 1 is a lollipop. What is the probability that he reaches in, grabs a candy bar or chewy candy, eats it and then grabs a piece of gum?
When typing in your answer, enter it as a fraction, such as 1/2. Simplify your answer.
8/?
Answer: 3/10
Step-by-step explanation: so you add 15+3+2+4+5+1 and that is 30 then you simplify 30 and get 3/10
write the equation of the blue line using slope intercept form (y=mx+b)
Answer:
Step-by-step explanation:
X1=-4
Y1=7
X2=-3
Y2=6
(-2,0 ) X INTERCEPT
(0,-7)Y INTERCEPT OR B
M=6-7/-3+4
M=_1
Y=-1X+-7
Which represents the polynomial written in standard form? 4m – 2m4 – 6m2 9 9 4m 2m4 – 6m2 2m4 – 6m2 – 4m 9 9 – 6m2 4m – 2m4 –2m4 – 6m2 4m 9.
The standerd form 4m – 2m^4 – 6m^2 +9.
We have given that the polynomial given below we have to find the standerd form of the polynomial.
What is the standerd form of the polynomial[tex]P(x)=a_nx^n+a_{n-1}x^{n-1}+......+a_1x+a_0[/tex]
n=4
Standard form of the polynomial
[tex]4m - 2m^4 - 6m^2 + 9[/tex]
Rearranginge term we get
[tex]=-2m^4 - 6m^2 + 4m + 9[/tex]
The third term of the given polynomial is 0.
Therefore,the standard form is,
[tex]-2m^4 - 6m^2 + 4m + 9[/tex]
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Altitude is the height in relation to sea level. Umar walks from a valley to a hilltop. The valley has an altitude of -32 1/2 feet. The hilltop has an altitude of 85 3/4 feet. What is the altitude change from the valley to the hilltop?
Answer:
118.25
Step-by-step explanation:
Which equation describes how the parent function, y = x cubed, is vertically stretched by a factor of 4? y = x cubed 4 y = (x 4) cubed y = 4 x cubed y = x superscript 4
The required function when the parent function is stretched comes to be [tex]f(x)=x^{3} +4[/tex].
The parent function is:
[tex]f(x)=x^3[/tex]
How vertical translation of the graph of a function takes place?If a function f(x) is vertically translated by k units f(x) becomes f(x)+k where k is positive.
Given function [tex]f(x)=x^3[/tex] is vertically shifted by 4 units
So, f(x) will become f(x)+4
[tex]f(x)+4 = x^{3} +4[/tex]
So, the required function is [tex]f(x)=x^{3} +4[/tex]
Therefore, the required function when the parent function is stretched comes to be [tex]f(x)=x^{3} +4[/tex].
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Answer:
A
Step-by-step explanation:
edge, 2022
What is the area of a square with vertices: G(1, 0), O(5, 2), A(3, 6) and T(-1, 4)? Show your work!
By finding the side length of the square, we will see that the area is 20 square units.
How to get the area of a square?
For a square of side length S, the area is:
A = S^2
In this case, the side length of the square will be the distance between two consecutive vertices, so we can say that S is the distance between points G and O.
Remember that the distance between two points (x₁, y₁) and (x₂. y₂) is:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
So the distance between the points G(1, 0) and O(5, 2) is:
[tex]S = \sqrt{(5 - 1)^2 + (2 - 0)^2} = \sqrt{20}[/tex]
Then the area of this square is:
[tex]A = S^2 = (\sqrt{20})^2 = 20[/tex]
The area is 20 square units.
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(4x - 6)
(x+6y)”
Solve for y
Hey there!
(4x - 6)(x + 6y)
= (4x - 6)(1x + 6y)
= 4x(1x) + 4x(6y) - 6(1x) - 6(6y)
= 4x^2 + 24xy - 6x - 36y
Therefore, your answer is:
4x^2 + 24xy - 6x - 36y
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
evaluate the expression when x = 2 x^2 + 8x – 6
Answer:
x =(7-√97)/-4= 0.712
Or
x =(7+√97)/-4=-4.212
Point K is shown on the number line below .
Which number sentence BEST describes the value represented by point K?
Answer: B. K < 13. K is 12.5, 12.5 is less than 13
1. Its not D because at the ending points of the number line; 10-20, which is less than 30.
2 It is not C because K is not on 15
3 It is not A because 12.5 is less than 13.
Hope it helps!!
Which of these numbers is a solution of the inequality 3x>18?
Let's solve this inequality:-
3x<18
Divide both sides by 3:-
x<6
So numbers less than 6 will make this inequality [tex]\sf{true}[/tex].
notes:-You haven't listed any numbers, so I don't know what options you have,
Please list the numbers in the comments & I will edit my answer :)
Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)
Answer:
The possible answers are all numbers above 6.
Step-by-step explanation:
3x>18
3x/3> 18/3
x> 6
to the Kansas River Crossing.
Last year the depth of the river was 4.2 feet deep.
This year it dropped 17%.
Find the depth of the river this year to cross it.
Answer:
3.486 feet (1.06 m) or 3 feet (0.91 m) five inches
Step-by-step explanation:
17 percent of 4.2 is 0.714 and 4.2–0.714 is 3.486
Step-by-step explanation:
The Books Galore bookstore made 3 different orders for The Number Book. The ratio
of the amount of books sold and the price of each book is a fixed number. The table
shows their 3 orders.
Book Order Total Cost
212
S665.68
?
S1450.68
375
Part A
What is the number of books ordered for a purchase of $1450.68?
0453
O 456
O 462
465
13 14 15
16
17 18 19 20
Kelly read 30 pages of her 300-page book in 6 hours. at this rate, how long will it take her to read the entire book?
60 hours
5 hours
6 hours
30 hours
i am in middle school.
Answer:
60 hours
Step-by-step explanation:
300 ÷ 30 = 10
10 x 6 = 60
Hope this helps :)
Answer: 60 hours
Step-by-step explanation:
30=300- times 10
6=_60_
Lily wants to do fencing around a circular garden that has a radius of 70m. If the cost of fencing is $12 per meter, find the total cost of fencing for the entire garden (use pi=22/7
Answer:
$5280
Step-by-step explanation:
Since the radius of the circle is 70m, the perimeter or circumference of the circle is 2πr --> 2 * 70 * 22/7 which is 440 meters. Since each meter of fencing costs $12, the total cost of the fencing is $5280
A contractor has two choices for billing a completed job. · $500 flat rate, regardless of the number of hours worked · $20 per hour worked the graph shows the relationship between pay per hour and number of hours worked for both scenarios.
Answer:
C. (25,20)
Step-by-step explanation:
Edge2022 <3
Good luck and remember (yall that take edge) , you can get through the day no matter how hard it may seem. I have faith In you guys :).
If number of hours worked is less than 20, 500 flat rate is preferable
and, If number of hours is more than 20, hourly rate i.e. 20 per hour is better.
What is Inequality?An inequality is a mathematical statement that compares two values or expressions using inequality symbols such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to).
In the first scenario, where there is a $500 flat rate regardless of the number of hours worked, the pay per hour remains constant at $500 divided by the number of hours worked.
So, the graph for this scenario would be a horizontal line at a height of $500.
In the second scenario, where the contractor is paid $20 per hour worked, the pay per hour is fixed at $20.
let the number of hours be worked be x.
Then, 20x < 500
x< 25
So, if number of hours worked is less than 20, 500 flat rate is preferable
and, If number of hours is more than 20, hourly rate i.e. 20 per hour is better.
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fasttt please 6,132 ÷ 10³ =
Answer:
6.132
Step-by-step explanation:
please mark me the brainiest
Complete the coordinates using the given equation
Y=3x+3
X=5
Answer:
(5,18)
Step-by-step explanation:
Plug in the X value into the Y equation,
Y=3(5) +3
Y=15 +3
Y=18
Then format your results as coordinates in the standard (X,Y) format
(X,Y)
(5,Y)
(5,18)
please helpppp pleaseee
а. 5
b. 180(5-3)=540
,..,,..,.,.,
Round 77.1110969489 to the nearest hundred-thousandth
4x^2 - y^2 - 2x- y
Factorise each of the following expressions completely
Answer:
(2x + y)(2x - y - 1)
Step-by-step explanation:
4x² - y² - 2x - y
4x² - y² is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , then
4x² - y²
= (2x)² - y²
= (2x - y)(2x + y)
expression is now
(2x - y)(2x + y) - (2x + y) ← factor out (2x + y) from each term
= (2x + y)(2x - y - 1)
The football team played 15 games this season and won three more games than it lost. How many games did the team lose?
w = won game
l = lost game
w + l = 15
and
w = I + 3
so
l + 3 + l = 15
2l = 12
l = 6
lost = 6
won = 9
Answer:
The ratio of wins to losses is 3 to 1, out of 32 total games. 3:1 has a total of 4 parts (3+1).
Total games divided by total parts is 32/4 = 8.
Now multiplying number of parts to divisor gives us 3x8 : 1x8 or 24:8. Therefore they won 24 games, lost 8.
Step-by-step explanation: