keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{2}{3}} x+6\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
well, we know that "m" is perpendicular to the line above, so that means that line "m" has a slope of
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{-\cfrac{2}{3}} ~\hfill \stackrel{reciprocal}{-\cfrac{3}{2}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{-2}\implies \cfrac{3}{2}}}[/tex]
keeping in mind that parallel lines have exactly the same slope, and since we know that "n" is parallel with "m", that means that if "m" has a slope of 3/2 than "n" must have the same slope.
so we're really looking for the equation of a line whose slope is 3/2 and passes through (4 , -3)
[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-3})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{3}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{\cfrac{3}{2}}(x-\stackrel{x_1}{4}) \\\\\\ y+3=\cfrac{3}{2}x-6\implies y=\cfrac{3}{2}x-9[/tex]
Dale is following this recipe to make shortbread fingers. Dale uses 240 g of flour. How many shortbread fingers does he make? Recipe: Makes 24 fingers 125 g butter 55 g sugar 180 g flour
Answer:Answer:
"For 75 g butter ≈ 27 fingers
Step-by-step explanation:
Using unitary method
For 20 fingers = 55 g butter
For 1 g butter = 20/55 fingers
=> For 1 g butter = 4/11 fingers (Simplified form)
Multiplying both sides by 75
=> for 75 g butter =
=> For 75 g butter ≈ 27 fingers ( approximately )"
Excerpt from Brainly
Analyze the following budget, with an income of $750, to determine how much can be spent on food for the month. Month________ Budgeted Amount Food $___ Personal Items $20 Cell Phone $75 Entertainment $85 Car Expenses – Gas, Insurance $260 College Savings $250 a. No more than $70 can be spent on food. B. No more than $75 can be spent on food. C. No more than $80 can be spent on food. D. No more than $60 can be spent on food. Please select the best answer from the choices provided A B C D.
The phrase "no more than" implies upper limit. The correct choice for food budget is: Option D. No more than $60 can be spent on food.
How to find the remaining amount after deduction?Suppose that you had initial amount as A.
Let you deduce B, C, and D from it.
The remaining amount is obtained by subtraction.
Thus,
Remaining amount = A - (B + C + D) = A - B - C - D
For the given case, the budget left for food is the remaining amount after all the expenses are reduced from the income.
Income = $750
Expenses except food: $20 + $75 + $85 + $260 + $250 = $690
Thus, budget left is $750 - $690 = $60
This remaining budget is left. The person can spent either full of it on food or less than it, but cannot spend more than it as that person doesn't have more than $60 left.
Thus:
Food budget is no more than $60.
or
Food budget ≤ $60
Thus,
The correct choice for food budget is: Option D. No more than $60 can be spent on food.
Learn more about inequality here:
https://brainly.com/question/11901702
What are the slope and the y-intercept of the linear function that is represented by the graph?
Answer:
An example would be... slope intercept form is y=mx+b m being the slope b equal the y-intercept. so an equation would be y=3x+7 3 is the slope and 7 in the y-intercept. I am giving you this way because i do not know what points the graph are going through. And do not know what the graph looks like.
Type the integer that makes the following addition sentence true:
Answer:
93
Step-by-step explanation:
Add 36 to both sides of the equation:
36 -36 + ___ = 36 +57
0 + ___ = 93
___ = 93
The integer 93 goes in the blank.
A store sells 24 greeting cards for $12.
Select the three unit rates that describe this sale.
A 2 cards per dollar
B $0.50 per card
C 10 cards per $5
D $6 per dozen cards
WICH IS CORRECT
Answer:
D
Step-by-step explanation:
SOO SORRY I EDITED THIS BC A WAS WRONG I MISREAD
if 24 cards = $12, 1 card = $2 (24 / 12)
dozen = 12
if half of 24 is 12, and 24 cards cost $12, half of 12 is 6. same goes for the price. $12 / 2 = 6.
Find the measures of the numbered angles in the rhombus.
Answer:
Step-by-step explanation:
Angle 1 is 90 - 34 = 46 deg.
angle 2 is 90 deg.
angle 3 is 34 deg.
angle 4 is also 46 deg.
Pleaseeeee hellppppdosbshsb I NEED TO KNOW!!!
Answer: [tex]y = 3\sin\left(\frac{x}{3}\right)\right)+2\\\\[/tex]
This is the same as writing y = 3sin(x/3) + 2
=====================================================
Explanation:
The template for a sine function is
[tex]y = A\sin\left(B\left(x-C\right)\right)+D\\\\[/tex]
where,
A = deals with the amplitudeB = deals with the periodC = phase shiftD = midline---------------
The highest point is at y = 5 and lowest is at y = -1. This is a gap of 6 units, which cuts in half to 3. The amplitude is 3 meaning that A = 3.
---------------
One peak or highest point occurs when x = 3pi/2
The next peak over is at x = 15pi/2
This is a gap of (15pi/2) - (3pi/2) = 12pi/2 = 6pi units
The period is T = 6pi which leads to B = 2pi/T = 2pi/6pi = 1/3
In short, B = 1/3
---------------
We don't have to worry about the phase shift, so C = 0.
---------------
The midline is the average of the highest and lowest y values.
D = (5+(-1))/2 = 4/2 = 2
This means D = 2.
---------------
In the previous sections, we found the following
A = 3B = 1/3C = 0D = 2This means we go from
[tex]y = A\sin\left(B\left(x-C\right)\right)+D\\\\[/tex]
to
[tex]y = 3\sin\left(\frac{1}{3}\left(x-0\right)\right)+2\\\\y = 3\sin\left(\frac{x}{3}\right)\right)+2\\\\[/tex]
which is the final answer.
---------------
Extra info:
If you wanted, you could use a cosine function. This is because any cosine function is a phase shift of a sine function. But that greatly complicates things and sine is better suited here.
Surface area help I am struggling
Answer:
Total Surface Area: 65.97 cm²
Lateral Surface Area: 37.70 cm²
Step-by-step explanation:
You can solve for the surface area without the height or you can solve for the height and then find the surface are, either way is easy.
Lets first solve without the height. We will solve the surface area with the radius and slant height.
Total Surface area of cone formula: πr (r + s)
Curved surface are formula: πrs
Substitute the values in the picture with the formula
Slant height: 4
Radius: 3
πr (r + s)
π(3)(3 + 4)
(3.141593)(3)(3 + 4)
=9.424778(3 + 4)
=(9.424778)(7)
=65.973446
65.973446 rounded to the nearest hundredth is 65.97
TSA = Total Surface Area
TSA = 65.97 cm²
Now to find the curved surface area or some people call it the Lateral Surface Area
Formula: πrs
Radius: 3
Slant Height: 4
π(3)(4)
(3.141593)(3)(4)
=(9.424778)(4)
=37.699112
37.699112 to the nearest hundredth is 37.70
CSA = Curved Surface Area
CSA = 37.70 cm²
If you choose to compute the height (h) the you have to know both the radius (r) and the slant height (s):
Formula: height (h) = √s² - r²
Slant height = s = 4
Radius = r = 3
Height = h = ?
Now substitute the values into the formula
h = √s² - r²
h = √4² - 3²
h = √16 - 9
h = √7
h = 2.64575131
Height: 2.64575131 cm
Now it's time to find the surface area and curved surface area, now that you have the height:
Surface area formula given height and radius: πr(r + √(r² + h²))
Substitute the values
Height: 2.64575131
Radius: 3
πr(r + √(r² + h²))
π(3)(3 + √(3² + 2.64575131²))
TSA = (3.141593)(3)(3 + √(3² + 2.64575131²)
TSA = 9.424778(3 + √(3² + 2.64575131²)
TSA = 9.424778(3 + √(9 + 7)
TSA = 9.424778(3 + √(16)
TSA = 9.424778(3 + 4)
TSA = 9.424778(7)
TSA = 65.973446
TSA = 65.97
Next, time to find the Curved surface area:
Formula: CSA = πr√(r² + h²)
CSA = πr√(r² + h²)
Substitute the values into the formula
Radius: 3
Height: 2.64575131
Slant Height: 4
CSA = πr√(r² + h²)
CSA = π(3)√(3² + 2.64575131²)
CSA = 9.424778√(3² + 2.64575131²)
CSA = 9.424778√(9 + 7)
CSA = 9.424778√(16)
CSA = 9.424778(4)
CSA = 37.699112
CSA = 37.70
So, we can conclude that the Total Surface Area is 65.97 and the Lateral Surface Area is 37.70.
Liz has turtles that triple every month. and Steven has turtles that double every month. If Liz has 7 turtles at the same time that Steven has 5 turtles. then in how many turtles after 6 months do they have in total?
The number of turtles they will have after 6 months is =1,893 turtles
Calculation of total turtleNumber of turtles owned by Liz every month =
first month = 7
second month= 7×3 = 21
third month = 21× 3 = 63
fourth month = 63 × 3 = 189
Fifth month = 189 × 3 = 567
Sixth month = 567 × 3 = 1701 turtles
Number of turtles owned by Steven every month =
first month = 6
second month = 6 × 2 = 12
third month = 12× 2 = 24
Fourth month = 24 × 2 = 48
Fifth month = 48 × 2 = 96
Sixth month = 192 turtles
Therefore total turtle owned by both Liz and Steven=
1701 + 192 = 1,893 turtles
Learn more about addition here:
https://brainly.com/question/25421984
What type of angle is angle M?
L
M
P
O A. acute
B. straight
C. obtuse
D. right
Answer:
Although it would be great to see the picture of your problem, Acute angles are usually smaller than a right angle. A right angle is half of a straight line. A straight line is exactly how it sounds. An obsute angle is bigger than a right angle, so it has a higher degree.
Please help me on this question i would appreciate it
Answer: x = 120 y = 25 z = 35
Step-by-step explanation:
z = 35 because of the Z rule
y = 25 because y + 35 = 60
x = 120 because of the C rule
Sorry if you don't understand, I don't know how to explain the reason to the answers
Amount of Sleep
10
9
8
Frequency
2
0-3
4-7
8-11
12-15
Time (hours)
What percentage of Mr. Hamilton's students slept 3 hours or less?
%
Answer:
I guess 3 hours is the answer.
Tips
Answer:
3 hours
Step-by-step explanation:
3 hours is the answer
I need help on number 10 and 9
Answer: 1. 55 ft 2. 10 ft. 3.3 in.
Step-by-step explanation:
For question 9, you need to understand that the angle on the left is equal to the one on the right from the mirror priniciple. Now let's say the height of the dinosaur is x ft. We would get the equation 5.5/4 = x/40 and we get that x is 55, thus the height of the dinosaur is 55 ft
For question 10, we use the same similarity principle as we use in question 9 so given that the height of the light pole is h in. we get the equation
h/185 = 62/93
So, h is 123.33(I used a calculator, hope that's fine). Thus the height of the light pole would be 123.33 in. or 10 ft. 3.3 in.
Hope this helps!!!!
The orchard's owner plots the table's data on the coordinate plane. Which other coordinate pair is appropriate for the situation to plot on the same plane? A) (40, 60) B) (125, 50) C) (100, 60) D) (70, 140)
Answer: B:2.5
Step-by-step explanation: divide the two numbers to find the answers
Answer:
B is the answer 125,50
Step-by-step explanation:
Please mark brainlyist
If anyone can answer this question i would greatly appreciate it!! <3
An apartment rents for $665/month. To start renting, you need the first and last
month's rent, and a $650 security deposit. You also have upfront costs of $126 for
a year of tenant insurance, $95 hookup fee for phone and internet, and $80 TV
hookup fee. What is the total amount you need to begin renting the apartment?
The total amount need to begin renting the apartment is $2281.
What is rent?An agreement where a fee is paid for the temporary use of a good, service, or property owned by another is known as renting, sometimes known as hiring, or letting.
We have,
An apartment rents for $665/month.
$95 hookup fee for phone and internet, and $80 TV hookup fee.
So, the total amount
= 665 + 665 + 650 + 126 + 95 + 80
= $2281
Thus, the total amount for rent is $2281.
Learn more about Rent problem here:
https://brainly.com/question/1434221
#SPJ2
Calculate the expected Gain of Loss of stock ABC.
Please help if you can!
==================================================
Explanation:
Focus on the first row only. We won't worry about the other stocks.
Convert each of the percentages to decimal form
40% = 0.4015% = 0.1545% = 0.45Then multiply those decimal values with their respective gains or losses.
Use a negative sign to indicate losses.
0.40*(-25) = -100.15*5 = 0.750.45*45 = 20.25The last step is to add up each of the results to get the expected value.
-10+0.75+20.25 = 11
The result is positive, so it's a gain rather than a loss.
On average, we expect an $11 gain for stock ABC.
----------
Side note: Thank you for making the screenshot much more clear.
Answer:
$11 gain
Step-by-step explanation:
Type the integer that makes the following subtraction sentence true:
_____ − –99 = 3
Answer:
-96
Step-by-step explanation:
when there are two subtraction signs it is basically a plus sign
so
___ + 99 = 3
then you can subtract 99 from both sides
___ = -96
your answer is -96
If you made 30$ every 5 minutes, how much would you have in 10 hours?
Write in slope intercept form. 2x + y = 2
Answer:
y= -2x+2
Step-by-step explanation:
Slope intercept form is y=mx+b.
To write this equation in slope-intercept form, we must isolate y.
2x+y=2
Subtract 2x from both sides
y= -2x+2
on a road map 1 inch represents 25 miles. how many miles would 2.5 inches represent ? explain in one sentence
Answer:
25 miles * 1 inch = 25 miles; 25 miles * 2.5 inch = 62.5 miles
Step-by-step explanation:
Hope this helps!!
Find the area of a circle with radius,
r
= 6.82m.
Give your answer rounded to 2 DP.
Answer:
42.8
Step-by-step explanation:
Whats 29x 7.4 show work
Answer:
214.6
Step-by-step explanation:
First, split 7.4 into number, this makes it easier later.
29*7=203
0.4*29=11.6
Next add them up for your total.
203+11.6=214.6
Answer:
214.6
Step-by-step explanation:
29x7.4=214.6
The simple interest on an investment of $7540 over 8 years is $1749.28.
If the annual interest rate is R, find R as a percentage to the nearest one decimal place.
Enter each line of working as an equation.
Answer:
41.38%
Step-by-step explanation:
A= P(1+in)
7540 = 1749.28 + 13994.25i
5790.72= 13994.25i
i=0.41379×100
i=41. 38%
Find the domain of the graphed function.
Answer:
the domingo of a grapa consiste of all the input vales show on the x-axis the rango is the set of posible output vales which are show on the y-axis
5. The two numbers rolled can be added to get a sum. Find P(sum is even). (1 point)
1/4
15/36
1/2
3/4
The mean of five numbers is 16.
When two extra numbers are included the mean of the seven numbers is 20.
Find the mean of the two extra numbers
Answer:
30
Step-by-step explanation:
Since we have five numbers and their mean is 16 as we all know that
mean = summation of total numbers / summation of total number of terms
Mean = 16 for 5 numbers
sum = 16 x 5 = 80( sum of the five terms)
when two extra numbers are added, it then becomes 7 numbers . since the numbers are unknown we then represent each numbers with the X and Y
New sum = 80 + x + y
new number of terms = 7
new mean = 20
20 = 80 + x + y
7 we cross multiply to get the unknown values
20 x 7 = 80 + x + y , 140 = 80 + x + y
we use y as subject of the formula to get x
140 - 80 + x = y
60 + x = y, y = 60 + x
we input y = 60 + x into the equation (140= 80 + x + y) to get x
140 = 80 + x + 60 + x , 140 = 80 + 60 + x + x
140 = 140 + 2x , 140 -140 = 2x
0 = 2x , divide both sides by 2 to get x
x = 0
we then input x = 0 into the equation to get y
140 - 80 + x = y
140 - 80 + 0 = y , 60 + 0 = y
y = 60
To find the mean of the two extra numbers, we then use the above formula for finding mean.
60 + 0 / 2 = 60 / 2 =30
mean = 30.
Please help me on the math work
Answer: x = -20
Step-by-step explanation:
What is half of 1 1/2 teaspoons
Answer:
The half of 1 1/2 tps would be 3/4 tsp.
Step-by-step explanation:
Hope This Helps
Have a Great Day
Answer:
3/4 tsp
Step-by-step explanation:
give guy above brainliest ig lolz
Mrs. Sheldon has the desks
in her room in a square
formation with the same
number of desks in each row.
If there are a total of 25 desks
in her room, how many desks
are there in the first two
rows?
Answer:
16, 21
Step-by-step explanation:
the length of the diagonal of a square is 15 square root of 2 what is the perimeter
Solution:
Given:
Diagonal of square: 15√2Perimeter of square: 4sSolving using Pythagoras theorem~
(15√2)² = s² + s²=> 225 x 2 = 2s² => 225 = s² => s = 15 unitsNow, solve for perimeter by substituting into the term '4s'.
4(15)=> 60 unitsHence, the perimeter of the square is 60 units.