Answer: £12
Step-by-step explanation: To decrease £40 by 70%, you’ll have to find what 70% of £40 is, which is 28. Lastly, subtract 40 by 28. You should end up with a final result of £12.
how many unique 3 digit codes can be created from the 5 digits {1, 2, 3, 4, 5} if repeats are possible?
Answer:
53
Step-by-step explanation:
5 choices × 5 choices × 5 choices = 53 possible 3 digit codes including repeats
[tex]\boldsymbol{125}[/tex] unique [tex]3[/tex] digit codes can be created from the [tex]5[/tex] digits.
Number of arrangementsGiven that digits are [tex]=\boldsymbol{\{1,2,3,4,5 \}}[/tex].
Number of digits [tex]=\boldsymbol{5}[/tex]
With repetition" means that repetition is allowed. Thus, in each of the three places, we have five choices.
Therefore,
Number of unique three digit codes can be created from the five digits [tex]=5\times 5\times 5[/tex]
[tex]=\boldsymbol{125}[/tex]
So, [tex]\boldsymbol{125}[/tex] unique [tex]3[/tex] digit codes can be created from the [tex]5[/tex] digits.
Find out more information about permutations here:
https://brainly.com/question/26852614?referrer=searchResults
Abby earned $56 in 7 hours at her job today. She wants to know how much she could earn tomorrow if she works 34 hours at the same hourly rate.
How much will Rachel earn in 34 hours? please help me !!!
Answer:
It will be $85, 34÷ 4
will give you 8.5 then you multiply it by 10,× 10=85
Answer:
272
Step-by-step explanation:
56:7=8 (she earns 8$ in 1 hour)
8×34=272
what is 1.5555 as a simplified fraction.
Answer:
1 5555/10000
Step-by-step explanation:
One plus five thousand, five hundred and fifty-five all over 10000.
Answer:
[tex]\frac{311}{200}[/tex]
Step-by-step explanation:
1.5555
=[tex]\frac{15555}{10000}[/tex]
=[tex]\frac{311}{200}[/tex] (dividing numerator and denominator by 5)
PLease help me for my homework hahaqhahahahahhahaha please
Answer
Step-by-step explanation:
rise over run so it'd be 3/3 positive or y= 3x-3
3 − 3k + 7k = 5b find the equation for k
Answer:k=5b/4 - 3/4
Step-by-step explanation:
Answer:
[tex]k=\frac{5}{4}b - \frac{3}{4}[/tex]
Step-by-step explanation:
-3k + 7k = 5b - 3
4k = 5b - 3
[tex]k=\frac{5}{4}b - \frac{3}{4}[/tex]
NEED HELP ASAP PLEASE!!!
An airplane is headed due south with an airspeed of 300 kph. A wind is blowing from the west at 120 kph. What is the ground speed and direction of the plane?
323 kph with a directional bearing of S 22° E
328 kph with a directional bearing of S 68° E
420 kph with a directional bearing of S 22° E
420 kph with a directional bearing of S 68° E
Answer:
a) 323 kph with a directional bearing of S 22° E
Step-by-step explanation:
to find the ground speed:
just do the pythagorean theorem.
c²=300²+120²
c²=104400
c=323
to find the directional bearing:
use the law of sines!
sin(90)/323 = sin(θ)/120
(*explanation: since the plane is heading due south and the wind is from due west, it makes a 90 degree angle; and the side opposite of the 90 degree angle is 323. set it equal to sin theta over 120; theta is the angle u r trying to find, and the side opposite of it is 120)
cross multiply:
120sin90=323sin(θ)
divide 323 on both sides:
sin(θ)=0.3715
use inverse sin to find out degree measure:
sin⁻¹(0.3715)=21.8
rounds up to 22.
The ground speed and direction of the plane is 323 kph with a directional bearing of S 22° E. Therefore, option A is the correct answer.
To find the ground speed of the plane, we need to know what a vector is
What is a vector?
A vector is a variable that has both magnitude and direction.
Since the airplane is headed due south with an airspeed of 300 kph, its vector is V = (-300 kph)j.
Also, the wind is blowing from the west at 120 kph. Its vector is v = (-120 kph)i
Now, the ground speed of the plane V' is the resultant vector of the airspeed and wind speed.
What is a resultant vector?A resultant vector is the sum of two or more vectors.
So, V' = v + V
V' = (-120 kph)i + (-300 kph)j
So, its magnitude V' = √(x² + y²) where
x = -120 kph and
y = -300 kph.
So, V' = √[(-120 kph)² + (-300 kph)²]
= √[14400 kph² + 90000 kph²]
= √(104400 kph²)
= 323.11 kph
≅ 323 kph
The direction of the plane
Its direction, Ф = tan⁻¹(y/x)
Ф = tan⁻¹(-300 kph/-120 kph)
Ф = tan⁻¹(2.5)
Ф = 68.2°
From the South-line we have α = 90° - Ф = 90° - 68.2° = 21.8° ≅ 22°
So, the directional bearing of the plane is S22°E.
So, the ground speed and direction of the plane is 323 kph with a directional bearing of S 22° E.
Learn more about the ground speed of a plane and direction here:
brainly.com/question/11861018
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(PLEASEEE HELP) Which graph of which line represents a
proportional relationship?
Graph A
Graph B
Graph C
Graph D
Look carefully at the graph of multiple graphs shown below. Which of the graphs
represents or shows a proportional relationship?
Answer:
B
a proportional relationship in a graph needs to go through the 0.0, and also needs to be a stright line.
Y'all I need major help! This is due soon!! Just match up the points with an equation.
Write an equation of the line that passes through the given point and has the given slope, m.
1.(5,-2); m=4 2.(7,-2); m=2 3.(-3,-5); m=-3 4.(-8,-2); m=4 5.(0,0); m=1
y=-3x-14 y=2x-16 y=x y=4x+30 y=4x-22
Caylan is making bakes goose for a charity bake sale ha places a tray of scones a tray of muffing and a tray of cookies in the oven the second bake for 15 the muffins bake for 12 minutes and the cookies bake for 10 minutes when one tray is done he removes it a replaces it with another tray of the same item how many minutes after caylan puts the trays in the oven will he first remove the scones muffins and cookies at the same miinutes
Answer:
Step-by-step explanation:
an hour, or 60 minutes
Answer:
60 minutes
Step-by-step explanation:
i d 1 0 t
An online streaming service costs $25 to join. Each gigabyte used costs $2.50. Let g represent the number of gigabytes. Would this situation represent a function?
True False
Answer: 10
Step-by-step explanation:
25 ÷ 2.5 = 10
10 gigabytes
Help I don’t understand this
Understand What?
◑︿◐::>_<::
Quiz 3-3 Parallel and Perpendicular Lines on the Coordinate Plane (Gina Wilson All Things Algebra 2014-2019) need these for a quiz please!
Answer:
14. [tex]y = -2x -1[/tex]
15. [tex]y = -\frac{3}{4}x +3[/tex]
16. [tex]y= 4x + 9[/tex]
17. [tex]y = -\frac{5}{3}x -2[/tex]
18. [tex]y= -\frac{2}{3}x -5[/tex]
19. [tex]y = 4x -3[/tex]
20. [tex]y = -3x -7[/tex]
Step-by-step explanation:
Solving (14):
Given
[tex](x_1,y_1) = (-7,13)[/tex]
[tex]Slope (m) = -2[/tex]
Equation in [tex]slope- intercept[/tex] form is:
[tex]y - y_1 = m(x-x_1)[/tex]
Substitute values for y1, m and x1
[tex]y - 13 = -2(x -(-7))[/tex]
[tex]y - 13 = -2(x +7)[/tex]
[tex]y - 13 = -2x -14[/tex]
Collect Like Terms
[tex]y = -2x -14 + 13[/tex]
[tex]y = -2x -1[/tex]
Solving (15):
Given
[tex](x_1,y_1) = (-4,6)[/tex]
[tex]Slope (m) = -\frac{3}{4}[/tex]
Equation in [tex]slope- intercept[/tex] form is:
[tex]y - y_1 = m(x-x_1)[/tex]
Substitute values for y1, m and x1
[tex]y - 6 = -\frac{3}{4}(x - (-4))[/tex]
[tex]y - 6 = -\frac{3}{4}(x +4)[/tex]
[tex]y - 6 = -\frac{3}{4}x -3[/tex]
Collect Like Terms
[tex]y = -\frac{3}{4}x -3 + 6[/tex]
[tex]y = -\frac{3}{4}x +3[/tex]
Solving (16):
Given
[tex](x_1,y_1) = (-5,-11)[/tex]
[tex](x_2,y_2) = (-2,1)[/tex]
First, we need to calculate the [tex]slope\ (m)[/tex]
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{1 - (-11)}{-2 - (-5)}[/tex]
[tex]m = \frac{1 +11}{-2 +5}[/tex]
[tex]m = \frac{12}{3}[/tex]
[tex]m = 4[/tex]
Equation in [tex]slope- intercept[/tex] form is:
[tex]y - y_1 = m(x-x_1)[/tex]
Substitute values for y1, m and x1
[tex]y - (-11) = 4(x -(-5))[/tex]
[tex]y +11 = 4(x+5)[/tex]
[tex]y +11 = 4x+20[/tex]
Collect Like Terms
[tex]y= 4x + 20 - 11[/tex]
[tex]y= 4x + 9[/tex]
Solving (17):
Given
[tex](x_1,y_1) = (-6,8)[/tex]
[tex](x_2,y_2) = (3,-7)[/tex]
First, we need to calculate the [tex]slope\ (m)[/tex]
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{-7 - 8}{3- (-6)}[/tex]
[tex]m = \frac{-7 - 8}{3+6}[/tex]
[tex]m = \frac{-15}{9}[/tex]
[tex]m = -\frac{5}{3}[/tex]
Equation in [tex]slope- intercept[/tex] form is:
[tex]y - y_1 = m(x-x_1)[/tex]
Substitute values for y1, m and x1
[tex]y - 8 = -\frac{5}{3}(x -(-6))[/tex]
[tex]y - 8 = -\frac{5}{3}(x +6)[/tex]
[tex]y - 8 = -\frac{5}{3}x -10[/tex]
Collect Like Terms
[tex]y = -\frac{5}{3}x -10 + 8[/tex]
[tex]y = -\frac{5}{3}x -2[/tex]
18.
Given
[tex](x_1,y_1) = (-6,-1)[/tex]
[tex]y = -\frac{2}{3}x+1[/tex]
Since the given point is parallel to the line equation, then the slope of the point is calculated as:
[tex]m_1 = m_2[/tex]
Where [tex]m_2[/tex] represents the slope
Going by the format of an equation, [tex]y = mx + b[/tex]; by comparison
[tex]m = -\frac{2}{3}[/tex]
and
[tex]m_1 = m_2 = -\frac{2}{3}[/tex]
Equation in [tex]slope\ intercept\ form[/tex] is:
[tex]y - y_1 = m(x-x_1)[/tex]
Substitute values for y1, m and x1
[tex]y - (-1) = -\frac{2}{3}(x - (-6))[/tex]
[tex]y +1 = -\frac{2}{3}(x +6)[/tex]
[tex]y +1 = -\frac{2}{3}x -4[/tex]
[tex]y= -\frac{2}{3}x -4 - 1[/tex]
[tex]y= -\frac{2}{3}x -5[/tex]
19.
Given
[tex](x_1,y_1) = (-2,-11)[/tex]
[tex]y = -\frac{1}{4}x+2[/tex]
Since the given point is parallel to the line equation, then the slope of the point is calculated as:
[tex]m_1 = -\frac{1}{m_2}[/tex]
Where [tex]m_2[/tex] represents the slope
Going by the format of an equation, [tex]y = mx + b[/tex]; by comparison
[tex]m_2 = -\frac{1}{4}[/tex]
and
[tex]m_1 = -\frac{1}{m_2}[/tex]
[tex]m_1 = -1/\frac{-1}{4}[/tex]
[tex]m_1 = -1*\frac{-4}{1}[/tex]
[tex]m_1 = 4[/tex]
Equation in [tex]slope\ intercept\ form[/tex] is:
[tex]y - y_1 = m(x-x_1)[/tex]
[tex](x_1,y_1) = (-2,-11)[/tex]
Substitute values for y1, m and x1
[tex]y - (-11) = 4(x - (-2))[/tex]
[tex]y +11 = 4(x +2)[/tex]
[tex]y +11 = 4x +8[/tex]
Collect Like Terms
[tex]y = 4x + 8 - 11[/tex]
[tex]y = 4x -3[/tex]
20.
Given
[tex](x_1,y_1) = (-10,3)[/tex]
[tex](x_2,y_2) = (2,7)[/tex]
First, we need to calculate the slope of the given points
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{7 - 3}{2 - (-10)}[/tex]
[tex]m = \frac{7 - 3}{2 +10}[/tex]
[tex]m = \frac{4}{12}[/tex]
[tex]m = \frac{1}{3}[/tex]
Next, we determine the slope of the perpendicular bisector using:
[tex]m_1 = -\frac{1}{m_2}[/tex]
[tex]m_1 = -1/\frac{1}{3}[/tex]
[tex]m_1 = -3[/tex]
Next, is to determine the coordinates of the bisector.
To bisect means to divide into equal parts.
So the coordinates of the bisector is the midpoint of the given points;
[tex]Midpoint = [\frac{1}{2}(x_1+x_2),\frac{1}{2}(y_1+y_2)][/tex]
[tex]Midpoint = [\frac{1}{2}(-10+2),\frac{1}{2}(3+7)][/tex]
[tex]Midpoint = [\frac{1}{2}(-8),\frac{1}{2}(10)][/tex]
[tex]Midpoint = (-4,5)[/tex]
So, the coordinates of the midpoint is:
[tex](x_1,y_1) = (-4,5)[/tex]
Equation in [tex]slope- intercept[/tex] form is:
[tex]y - y_1 = m(x-x_1)[/tex]
Substitute values for y1, m and x1: [tex]m_1 = -3[/tex] & [tex](x_1,y_1) = (-4,5)[/tex]
[tex]y - 5 = -3(x - (-4))[/tex]
[tex]y - 5 = -3(x +4)[/tex]
[tex]y - 5 = -3x-12[/tex]
Collect Like Terms
[tex]y = -3x - 12 +5[/tex]
[tex]y = -3x -7[/tex]
Need answers for parallelogram LMNO
Answer:
what does lmno means
Step-by-step explanation:
please help me!
Decrease £40 by 10%
Answer:
36
Step-by-step explanation:
40 * .10 = 4
40-4 = 36
Can someone help me with 5-6
Answer:
B, C
Step-by-step explanation:
I love slope
can you help me with sas and sss congruent criteria please?
What is the equation of the linear function?
= -x + 6
A
y = -2x + 3
y=-3x +3
y = ;& + 3
Done
Sal invests $16,000 at age 35. He hopes the investment will be worth $320,000 when he turns 40. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Round to the nearest tenth of a percent.
59.9%
Sorry I don’t have time to explain in the middle of an exam
The rate of growth needs to be 59.9%.
The formula used to determine the future value of an investment when interest is compounded continuously is:
FV = A x [tex]e^{r}[/tex] x N
A= amounte = 2.7182818 N = number of years r = interest rateFV = future value$320,000 = $16,000 x [tex]e^{r}[/tex] x 5
Divide both sides by $16,000
20 = 5[tex]e^{r}[/tex]
Take the In of both sides
In(20) = 5r
Divide both sides by 5
r = 59.9%
To learn, please check: https://brainly.com/question/14640433
You multiply the dimensions of Triangle A by 4 to create Triangle B. Select the conclusion(s) that you can make about the similar triangles.
1.The ratio of the perimeters (Triangle A to Triangle B) is 14.
2.The ratio of the perimeters (Triangle B to Triangle A) is 1 to 4.
3.The ratio of the areas (Triangle A to Triangle B) is 1 to 8.
4.The ratio of the areas (Triangle B to Triangle A) is 16 : 1.
5.There is not enough information to make any of the conclusions above.
Answer:
5
Step-by-step explanation:
there is not enough info to because we do not have the detentions are the difference of triangle A or B
3/4
(x−12)=12
will mark brainlyest
Answer:
x = 24, if thats wat ur asking.
Answer:
x = 28
Step-by-step explanation:
its division come on
Write a system of equation for the following scenario.
Roshaun has saved $150 and continues to save $10 each week. Keegan starts with $0 and saves $25 each week.
Answer:
Let's start out with the amount of money each person will have over any period of time. Let t = time in weeks.
Roshaun will have 150 + 10t. Keegan will have 25t. we want to know when they will have the same amounts, so we set the 2 equations equal and solve for t:
150 + 10t = 25t
150 = 25t - 10t
150 = 15t
150/15 = t
10 = t
Therefore, in 10 weeks they will both have the same amount:
Roshaun: 150 + 10(10)--->150 + 100 = $250
Keegan; 25(10) = $250
Hope this helps!
Step-by-step explanation:
Please mark me as the brainliest answer and please follow me
Write the equation of a line that is parallel to y = 6x +1 and that passes through the point (-7,1).
Answer:
[tex]y=6x+43[/tex]
Step-by-step explanation:
We want the equation of a line that is parallel to [tex]y=6x+1[/tex] which also passes through (-7, 1).
Since the new line is parallel, it must have the same slope as the original line.
The slope of the original line is 6.
Hence, the slope of our new line must also be 6.
We know that the slope is 6.
And it passes through the point (-7, 1).
So, we can use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is a point.
Substitute:
[tex]y-1=6(x-(-7))[/tex]
Simplify:
[tex]y-1=6(x+7)[/tex]
Distribute:
[tex]y-1=6x+42[/tex]
Add 1 to both sides. Hence, our equation is:
[tex]y=6x+43[/tex]
A lawn-mowing company is trying to grow its business. It had 26 clients when they started its business and wants to increase by 3 new clients each week. Use an arithmetic sequence to write a function to represent this real-world situation and determine the range of the function for the first four weeks of data.
f(x) = 3x + 26; 0 ≤ y ≤ 4
f(x) = 3x + 23; 26 ≤ y ≤ 35
f(x) = 3x + 26; 26 ≤ y ≤ 35
f(x) = 3x + 23; 0 ≤ y ≤ 4
Answer: brainlest
date: 11/28/20 time: 2:42 pm name tom
hello please mark me as brainlest and hope this is what you needed ok
Answer:
So, f(x) = 6 x + 30; 0 ≤ y ≤ 4
Step-by-step explanation:
Given: A lawn-mowing company had 30 clients when they started its business and wants to increase by 6 new clients each week.
To find: arithmetic sequence to write a function to represent the real-world situation and the range of the function for the first four weeks of data.
Solution:
A sequence is a list of numbers in a specific order following some pattern.
A sequence is said to be arithmetic if difference between the terms is same.
For the first week, number of clients = 30
For the second week, number of clients = 30 + 6(1)
For the third week, number of clients = 30 + 6(2)
For the third week, number of clients = 30 + 6(3)
For the fourth week, number of clients = 30 + 6(4)
So, f(x) = 6 x + 30; 0 ≤ y ≤ 4
Step-by-step explanation:
Answer:
A) f(x) = 6x + 30; 0 ≤ y ≤ 4
Step-by-step explanation:
I JUST TOOK THE TEST
Answer: B
Step-by-step explanation:
for all of you on FLVS, its B
Find the area of the shape below
Answer:
????
Step-by-step explanation:
Answer:
where's the shape
Step-by-step explanation:
what's the length and width, maybe I can help
128 pounds of dog food for 16 dogs
Answer:
8
Step-by-step explanation:
128/6=8
Answer:
8.
divide 128 by 16 and its ^
PLEASE HELP ME
What is the simplified form of
the quantity of x plus 6, all over 3 − the quantity of x plus 2, all over 3
The function g(x)=2x^2+16x+31 is at a minimum when x=-4. True or False?
Answer:
The answer is true.
Step-by-step explanation:
8(-4a + 8b) = 240please
Answer:
= -32a+64b
Step-by-step explanation:
thats the answer
Mr. Barnes hired a plumber to fix a leak. The total cost, in dollars, that the plumber charges for a job can be modeled by the function p(x)= 45+35x , where x represents the time, in hours, that the plumber used to complete the job. Mr. Barnes budgeted $220 to pay the plumber for the job. After how many hours will the cost of the job exceed Mr. Barnes's budget?
WILL PICK THE BRAINLEST.
Which model represents the product 6×34?
Answer:
204 is the answer
Step-by-step explanation:
204 is the answer
Paki heart nalang po kung nakatulong
Answer:
its the 3rd
Step-by-step explanation: