Answer:
slope of perpendicular line - m = -1/2
passing through (-2,3)
thus,
y-3 = -1/2 (x+2)
or y = -1/2x +2
An equation of the straight line perpendicular to [tex]\boldsymbol{y=2x-5}[/tex] which passes through [tex]\boldsymbol{(-2,3)}[/tex] is [tex]\boldsymbol{x+2y-4=0}[/tex]
An equation of a straight line is [tex]\boldsymbol{y=2x-5}[/tex]
Compare this equation with the form [tex]\boldsymbol{y=mx+b}[/tex] where [tex]\boldsymbol{m,b}[/tex] denote slope and [tex]\boldsymbol{y-}[/tex]intercept respectively.
So,
[tex]\boldsymbol{m=2}[/tex]
As the slopes of two perpendicular lines are negative reciprocals of each other, slope of a required line is equal to [tex]n=\frac{-1}{2}[/tex]
Take [tex](x_1,y_1)=(-2,3)[/tex]
Equation of the required line is [tex]\boldsymbol{y-y_1=n(x-x_1)}[/tex]
[tex]y-3=\frac{-1}{2}(x+2)[/tex]
[tex]2y-6=-1(x+2)[/tex]
[tex]x+2y-4=0[/tex]
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A number is greater than -4 and less than 9. what is the least possible integer value of this number?
A. 8
B. 10
C. -3
D. -5
Answer:
ther is no answer above
Step-by-step explanation:
b/c the least possible inyeger is 12
thes are -3,-2,-1,0,1,2,3,4,5,6,7,8
Write an equation of the line that passes through (1, 2) and is perpendicular to the line y =1/3x + 4.
Answer:
y= -3x + 5
Step-by-step explanation:
negative reciprocial of the slope:
m=1/3
m=-3
Subsitube the point (1,2) into y=mx+b with new slope and solve for b:
y=mx+b
2=-3(1)+b
b=5
Equation:
y=-3x+5
hello! can anybody help me out with this? if there are more than two answers and yours Is right, I will give you brainliest!!!!!
Answer:
I think it is D because on x, there is a jump of 2 to get from 1 to 3. Than a jump of 2 to get from 4 to 6. Then with y, jump of 4 to get from -1 to 3 than jump of 4 to get from 5 to 9
Step-by-step explanation:
Find the maximum and minimum values of the function g ( θ ) = 5 θ − 6 sin ( θ ) on the interval [ 0 , π /2 ]
Answer:
Minimum value of the given function is 0
Maximum value of the given function
[tex]\frac{5\pi -12}{6}[/tex]
Step-by-step explanation:
Step(i):-
Given function g ( θ ) = 5 θ − 6 sin ( θ ) ...(i)
Differentiating equation (i) with respective to 'θ'
g¹ ( θ ) = 5 − 6 cos ( θ ) ...(ii)
g¹ ( θ ) = 5 − 6 cos ( θ ) =0
5 = 6 cos ( θ )
cos ( θ ) = 5 /6
Step(ii):-
Again Differentiating equation (ii) with respective to 'θ'
g¹¹ ( θ ) = − 6 (-sinθ ) = 6sinθ
Given interval
θ = 0 and θ= π/2
g ( 0 ) = 5 (0) − 6 sin ( 0 ) = 0
g(π/2) = 5(π/2) - 6 sin (π/2)
= 5(π/2) - 6
= [tex]\frac{5\pi -12}{6}[/tex]
Amita's kitchen is rectangular with an area of 3 and 3/4 square meters the width of the kitchen is 1 and 1/2 m what is the length in meters of Anita's kicthen
Answer:
2 1 ÷ 2
Step-by-step explanation:
Given that
The kitchen of Amita would be a rectangular area contains 3 and 3 ÷ 4 square meters
And, the width of her kitchen is 1 and 1 ÷ 2 meter
So based on the above information, the length of Amita kitchen is
Here you divide the rectangular area by the width
= (3 and 3 ÷ 4) ÷ (1 and 1 ÷ 2)
= 2 and 1 ÷ 2
Hence, the length in meters of Anita's kitchen is 2 and 1 ÷ 2
Jason invests $325 in a bank account. The bank has an annual
interest rate of 24%. How much interest did his investment earn
after one year?
The amount of interest earned by Jason is $78.
What is simple interest?Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific amount of time.
Contrary to compound interest, where we add the interest of one year's principal to the next year's principal to calculate interest, the principal amount in simple interest remains constant.
Given that Jason invests $325 in a bank account. The bank has an annual interest rate of 24%.
The interest will be calculated as:-
SI = ( P x R x T ) / 100
SI = ( 325 x 24 x 1 ) 100
SI = $78
Hence, the simple interest is $78.
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You pay 6% sales tax on a $250 purchase. How much was the tax?
Answer:
15
Step-by-step explanation:
To find the tax multiply the cost of the item by 6%
250 * 6%
Change to decimal form
250 *.06
15
Answer:
15
Step-by-step explanation:
convert the percentage to a decimal
6/100 = 0.06
then times by the number you given
6% x 250
Favorite Lunch Choice
Food Responses
pizza 26
hamburger 18
chicken 13
nachos 7
spaghetti 6
If there are 350 students in Jamal's school, how many are expected to choose hamburgers?
O A. 180 students
OB. 130 students
OC. 90 students
O D. 18 students
I need help plz!!!!
HELLLPPP!!! how many gallons of oil were introduced into the gulf of ecosystem in 7 weeks?
the spill lasted for approximately 28 weeks, how much oil entered into the gulf due to the disaster?
maya wrote the expresion
Manuel makes $8 per hour. He has worked 12 hours so far this week. How much has he made so far this week? Write an algebraic expression that describes how much he makes for any number of hours of work.
Answer:
Step-by-step explanation:
amount earned in 1 hr = $8
therefore, amount earned in 12 hrs = 12 x 8 = 96
let the amount earned in 1 hr be x
therefore, the amount earned in 12 hours = 12x
Hope this helps
plz mark as brainliest!!!!!!
If 6000 dollars is invested in a bank account at an interest rate of 9 per cent per
year,
Find the amount in the bank after 8 years if interest is compounded annually:
Find the amount in the bank after 8 years if interest is compounded quarterly:
Find the amount in the bank after 8 years if interest is compounded monthly:
Finally, find the amount in the bank after 8 years if interest is compounded
continuously:
Answer:
(1) $11955.38
(2) $12228.62
(3) $12293.527
(4) $12326.6
Step-by-step explanation:
Compound interest is given by
A= P( 1 + r/n)^n*t
A= Final amount
P = initial amount = 6000
r = interest rate = 9% = 0.09
n = number of times interest applied per time period
t = number of time periods elapsed
(1) Compounded annually
n = 1 , t = 8
A = 6000( 1+ 0.09/1) ^1*8
A = 6000( 1.09) ^8 = $11955.38
(2) compounded quarterly
n = 4 , t = 8
A = 6000( 1+ 0.09/4) ^4*8
= 6000( 1.0225)^32 = $12228.62
(3) compounded monthly
n = 12 , t = 8
A = 6000( 1+0.09/12)^12*8 = $12293.527
(4) compounded continuously
A = P* e^rt
r = 0.09 , t = 8
= 6000* e^0.09*8
= 6000* e^0.72 = $12326.6
The Amount according to the given scenario will be:
(1) $11955.38
(2) $12228.62
(3) $12293.527
(4) $12326.6
The given values are:
Initial amount,
P = 6000Interest rate,
r = 9% or 0.09(a)
If interest compounded annually then,
n = 1t = 8→ [tex]A = P(\frac{1+r}{n} )^n\times t[/tex]
[tex]= 6000(\frac{1+0.09}{1} )^1\times 8[/tex]
[tex]= 11955.38[/tex] ($)
(b)
If interest compounded quarterly then,
n = 4t = 8→ [tex]A = P(\frac{1+r}{n} )^n\times t[/tex]
[tex]= 6000(\frac{1+0.09}{4} )^4\times 8[/tex]
[tex]= 12228.62[/tex] ($)
(c)
If interest compounded monthly then,
n = 12t = 8→ [tex]A = P(\frac{1+r}{n} )^n\times t[/tex]
[tex]=P(\frac{1+0.09}{12} )^{12}\times 8[/tex]
[tex]= 12293.527[/tex] ($)
(d)
If interest compounded continuously then,
r = 0.09t = 8→ [tex]A = P\times e^{rt}[/tex]
[tex]= 6000\times e^{0.09\times 8}[/tex]
[tex]= 6000\times e^{0.72}[/tex]
[tex]= 12326.6[/tex] ($)
Thus the answers above are appropriate.
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What is the equation of the line that passes through the point (-4, -7) and has a
slope of 5/2 ?
Answer:
2y -5x=6
Step-by-step explanation:
Equation of a line is (y-y1) =m(x-x1)
(y+7) =(5/2)(x+4)
2(y +7) = 5(x+4)
2y +14 = 5x +20
2y - 5x = 6
The length of one side of a square is 3n+2. The perimeter of the square is 4(3n+2). Which expression is equivalent to the perimeter
Answer:
4(3n + 2)
Step-by-step explanation:
as we know perimeter of a square is 4 x side
one side is 3n + 2
4 sides = 4(3n +2)
Evaluate the expression 21 + 2w for / = 5.7 and w = 6.2. Enter your answer in the box.
6.2
Answer:
23.8
Step-by-step explanation:
2l+2w for l=5.7 and w=6.2
2*5.7+2*6.2 first multiply
11.4+12.4 then add
23.8
Help, please........
Answer:
When multiplying exponents you don't actually multiply you add the value of the exponents, the correct answer is 6x^4y^6
Step-by-step explanation:
Here is some information from the practice round for several new Click Bots.
Determine the missing values. Enter them in the table.
Then describe your strategy.
Answer/Step-by-step explanation:
✅Azure:
Clicks = 17
Time (secs) = 2
Unit rate (clicks/sec) = [tex] \frac{17}{2} = 8.5 [/tex]
✅Bronze:
Clicks = 38
Time (secs) = 4
Unit rate (clicks/sec) = [tex] \frac{38}{4} = 9.5 [/tex]
✅Camson:
Clicks = 26
Time (secs) = ? = x
Unit rate (clicks/sec) = 10.4
Thus: [tex] \frac{26}{x} = 10.4 [/tex]
Multiply both sides by x
[tex] 26 = 10.4*x [/tex]
Divide both sides by 10.4
[tex] \frac{26}{10.4} = x [/tex]
[tex] 2.5 = x [/tex]
Time (secs) = x = 2.5
✅Desert:
Clicks = ? = x
Time (secs) = 4.2
Unit rate (clicks/sec) = 8.33
Thus: [tex] \frac{x}{4.2} = 8.33 [/tex]
Multiply both sides by 4.2
[tex] x = 8.33*4.2 [/tex]
[tex] x = 34.986 [/tex]
Clicks = x ≈ 35
✅ Emerald:
Clicks = 3
Time (secs) = ? = x
Unit rate (clicks/sec) = 7.5
Thus: [tex] \frac{3}{x} = 7.5 [/tex]
Multiply both sides by x
[tex] 3 = 7.5*x [/tex]
Divide both sides by 7.5
[tex] \frac{3}{7.5} = x [/tex]
[tex] 0.4 = x [/tex]
Time (secs) = x = 0.4
✅Fuschia:
Clicks = ? = x
Time (secs) = 0.75
Unit rate (clicks/sec) = 8
Thus: [tex] \frac{x}{0.75} = 8 [/tex]
Multiply both sides by 0.75
[tex] x = 8*0.75 [/tex]
[tex] x = 6 [/tex]
Clicks = x ≈ 6
What are the clear steps for solving for x question (5x + 2)
Answer:
x= -2/5
Step-by-step explanation:
(5x+2)=0
-2 -2
5x=-2
------------
5
x= -2/5
The following system has a solution: x = 10, y = -3, z = 14. 3x + 7y - z = -5, 9x - y - 4z = 17, 5x - 12y - z = 0
Answer:
0
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
I got it right on edge
I need this answered quick. What sum is represented by the following number line?
Answer:
2[tex]\frac{3}{4} + -4\frac{1}{4} = -1\frac{2}{4}[/tex]
Step-by-step explanation:
The initial position of the blue line is 2 and 3/4. The final position (represented by the red line) is -1 and 1/2. 2 and 3/4 - 4 and 1/4 is the only thing you can subtract to get -1 and 2/4.
Answer:
2 3/4 +(-3 1/4)= -1 2/4
Step-by-step explanation:
hope you get it right
-3y^*2 =-48 show work
Inflation and Interest Rates: Tutorial
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Question
Consider a simple economy where the basket of goods used to calculate the CPI contains two items shampoo and soap.
The basket consists of 1 bottle of shampoo and 2 bars of soap. The prices are shown in the table.
Year Price of a Bottle of Shampoo Price of a Bar of Soap
Year
36 50
$1.25
Year
$5.00
$1.30
Type the correct answer in the box. Round your answers to two decimal places, if necessary.
The CPI for year 2 is
Submit
Answer:102.22
Step-by-step explanation:
Answer:
2.22%
Step-by-step explanation:
Recall that year 1, the base year, has a CPI of 100.
From question 1, we know that the CPI of year 2 is 102.22.
To find the rate of inflation, find the percent change from year 1 to year 2:
102.22-100= 0.0222, or 2.22%
_________
100
x/-4 =9 i need help with this fraction.
Answer:
= -36
Step-by-step explanation:
um is this what your looking for?
Michael cleans 90 cars in 5 days how many cars does Michael clean per day
Answer:
Michael cleans 18 cars in one day
Step-by-step explanation:
The equation should look like this: 90/5 = x
90/5 = 18
x = 18
Hope this helps ya! Keep smiling!
Answer:
18
Step-by-step explanation:
all you have to do is divide 90 and 5
A car travels 120 miles in 3 hours. What is the constant speed of the car in miles per hour?
Answer: the car travels 40 miles per hour
Step-by-step explanation: First you have to set the ratio up as 120 miles over 3 hours. After you do that you need to divide 120 by 3 which will give you for which gives you 40 miles per hours
Write an inequality for the following statement. A is greater than 7
Answer: A>7
Step-by-step explanation:
in the library, there are 9 rectangular tables with 8 pupils each and square tables with 4 pupils each. how many square tables ar needed so that 100 pupils can read at the same time?
Answer:
9 rectangular tables and 7 sqaure tables
Step-by-step explanation:
9 x 8 = 72
100-72=28
4x7=28
If a total of 20 cups of onions and carrots were used, how many batches did the chef make? 4 batches 5 batches 8 batches 10 batches
Answer:
The answer is 4 batches I tried it and it was right
Step-by-step explanation:
Answer:
its A i got it right
Step-by-step explanation:
A) complementary
B) alternate exterior
C) corresponding
D) linear pair
