Answer:
y= -(1/3)x -r
Step-by-step explanation:
a perpendicular line has the slope of the line that it's perpendicular but its the negative reciprocal of it. So for ex: line 1 = 2x then the line perpendicular to it is -1/2x.
In this case, the slope is 3x. The line perpendicular to it therefore, should be -1/3x.
The problem states the line has the same y-intercept so it has to still be -r.
So the equation of the line perpendicular to y=3x-r with the same y-intercept is y=-(1/3)x -r
Which expression in scientific notation is equivalent to (6×10^4)(3×10^5)
A 1.8×10^10
B 1.8×10^20
C 9×10^9
D 9×10^20
Answer: A) 1.8*10^10
Step-by-step explanation:
Multiply the constants together, and multiply the multiples of 10 together.
6*3 = 18
10^4 * 10^5 = 10^9
which gives you 18 * 10^9, but that isn't in scientific notation, because 18 isn't a number between 1 and 10
so you get 18 * 10 ^9
which is equal to 1.8*10^10
Hope this helps!
Answer:
A
Step-by-step explanation:
What is the number of possible permutations of 8 objects taken 4 at a time?
A.
24
B.
70
C.
1,680
D.
40,320
Answer:
1,680
Step-by-step explanation:
n!/(n-r)!
in this case n= 8 and r= 4
so 8!/(8-4)! = 1,680
The possible permutation of 8 objects taken at 4 a time will be 1680.
What is permutation?
The linear arrangement of the set of the orders or the linear arrangements of the numbers is called the permutation.
The number of possible permutations of 8 objects taken 4 at a time will be:-
[tex]^8C_4=\dfrac{8!}{(8-4)!}[/tex]
[tex]^8C_4=\dfrac{8!}{(4)!}[/tex]
[tex]^8C_4=\dfrac{8 \times 7\times 6\times 5\times 4\times 3\times 2}{4\times 3\times 2}=1680[/tex]
Therefore the possible permutation of 8 objects taken at 4 a time will be 1680.
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Solve for x. Round to the nearest TENTH.
Answer:
x ≈ 63.5°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangle Only] SOHCAHTOA[Right Triangle Only] sin∅ = opposite over hypotenuseStep-by-step explanation:
Step 1: Identify Variables
Angle = x°
Opposite Leg = 17
Hypotenuse = 19
Step 2: Solve for x
Substitute [sine]: sinx° = 17/19Trig inverse: x° = sin⁻¹(17/19)Evaluate: x = 63.4746Round: x ≈ 63.5°Answer:
I want to say that X= 62.8 or 63 17/19= 0.89 arcsin= 62.8 rounded 63
Step-by-step explanation:
A line is shown in the graph. What is the equation of the line?
Determine whether the statement is true or false. Explain your reasoning. "Every relation is a function."
gabriel has 6 2/3 of almond flour to make macaroons. he plans to make a recipe that uses 3/4 of a cup of almond flour. what is the greatest number recipes he can make?
Answer:
8 cups max
Step-by-step explanation:
3/4 cup = 1 recipe
6 2/3(20/3) cup = 20/3 x 1
3/4
= 20 / 3
3 4
= 20 x 4
3 3
= 80/9
= 8 cups max
the 9th cup will not be enough.
Mose decides to launch a rocket out of the barn at Schrute farms. The equation below represents the height (in meters), of the rocket getting launched above the ground, t seconds after the rocket is launched. h(t) = -.4 (t - 2)^2 + 5 How high above the ground is the rocket before it is launched?
Height at an instance of time is given by :
h(t) = -4( t - 2 )² + 5 .....1
Differentiating above equation with respect to t .
[tex]\dfrac{dh}{dt}= -4\times ( -2 ) ( t - 2 ) \\\\\dfrac{dh}{dt}= 8(t-2)[/tex]
Now, for maximum , [tex]\dfrac{dh}{dt} = 0[/tex] .
8( t - 2 ) = 0
t = 2
Putting value of t = 2 in given equation, we get :
h( 2 ) = -4( 2 - 2 )² + 5
h( 2 ) = 5 m
Therefore, maximum height rocket can reach is 5 m.
Can somebody help outtt ?? pleasee
Answer:
y=71
x=109
Step-by-step explanation:
Bananas are curved because they grow towards the sun ☀️
Answer:
14776.8
Step-by-step explanation:
Yeahh its that because its the difference and the elevation for the death valley is below sea level so if you do
x-(-y) you essentially get x+y so therefore you add the two numbers and your good (x stands for that mountain and y is for the death valley
Graph 1/4x+y=3. Please I need it ASAP
Answer:
how am i supposed to make a graph on that
Step-by-step explanation:
Answer:Here
Step-by-step explanation:
Whats the value of x? 3x - 5(x - 5) = -7 + 2x + 12
Answer:
x = 5
Step-by-step explanation:
Given
3x - 5(x - 5) = - 7 + 2x + 12 ← distribute and simplify left side
3x - 5x + 25 = 2x + 5
- 2x + 25 = 2x + 5 ( subtract 2x from both sides )
- 4x + 25 = 5 ( subtract 25 from both sides )
- 4x = - 20 ( divide both sides by - 4 )
x = 5
PLZZZ help me!!!!! It's worth 100 points. :)
Answer:
B
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
if you higher the hight than there is more potential energy and kinetic energy in the end
A gyroscope of radius 18 centimeters rotates 35 times per minute. Find the linear velocity of a point on the edge of the gyroscope.
In one full rotation/revolution, a point on the edge travels a distance equal to the circumference of the gyroscope, or 2π (18 cm) = 36π cm. Convert the angular speed, 36π cm/rev, to linear speed:
(36π cm/rev) • (35 rev/min) = 1260π cm/min ≈ 3958 cm/min
PLEASE HELP! I need this fast!
The quadratic equation y = 2(x + 3)^2 - 1 is written in vertex form.
True or false
Answer:
Yes
Step-by-step explanation:
vertex form is y=a(x-h)^2+k
Answer:
True.
Step-by-step explanation:
The quadratic equation [tex]y=2(x+3)^2-1[/tex], is in fact written in vertex form.
Vertex Form = [tex]y=a(x-h)^2+k[/tex]
[tex]a=amplitude[/tex]
[tex]h=horizontal shift[/tex]
[tex]k=vertical shift[/tex]
Three pens and three notebooks cost $6.90. Two notebooks and one pen cost $4.10
Answer:
so whats the question then?
Step-by-step explanation:
Select the better deal in the pair. Then give the unit rate for the better deal.
$81÷25gal or $62.05÷20gal
A:First
B Second
Then the unite rate with the better deal is $_____/gal
Answer:
its the first one and its 3.24
An organized collection of best works is called a ________.
Sketch pad
Gateway notebook
Journal
Portfolio
There are 20 children in a class 45% are girls, How many girls and boys are there?
Answer:
Step-by-step explanation:
each person represents 5%. so 45% are girls. 45/5 is 9, so 9 are girls. 20 minus 9 is 11 so 9 girls and 11 boys
The number of girls is 9 and the number of boys is 11.
Important information:
Total number of students = 2045% of total students are girls.Percentage:Using the given information, the number of girls is:
[tex]20\times \frac{45}{100}=9[/tex]
Now, subtract the number of girls from the total number of students.
[tex]20-9=11[/tex]
Therefore, the number of girls is 9 and the number of boys is 11.
Find out more about 'Percentage' here:
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What is the slope of the line in the graph?
what is mode and what is mean and median#
Answer:
The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set
Step-by-step explanation:
Solve 6(3 + n) < 48.
Show your work.
Answer:
N<5
Step-by-step explanation:
Check out the pic
Sydney has a bag of stuffed animals containing, 1 elephant, 4 bears, 3 cats, and 2 dogs. If she randomly selects 1 stuffed animal from the bag, places it on her bed and then selects another animal. What is the probability that she chooses a bear both times?
Answer:
2/15
Step-by-step explanation:
Step one:
given data
sample space
1 elephant,
4 bears,
3 cats, and
2 dogs.
sample size= 1+4+3+2= 10
Required:
By selecting without replacement, the probability that she chooses a bear both times
Step two:
the first event= Pr(bear)= 4/10= 2/5
the second event, the sample size is now 9 and the number of bears is now 3
Pr(bear)= 3/9= 1/3
Hence, the probability that she chooses a bear both times
= 2/5*1/3
=2/15
Which point represents 4StartRoot 2 EndRoot (cosine (StartFraction 5 pi Over 4 EndFraction) + I sine (StartFraction 5 pi over 4 Endfraction) ) ?
It's Point B
Answer:
point b
Step-by-step explanation:
took the test
Answer: point b
Step-by-step explanation: because the mans who asked the question is a legend
The Williams family goes shopping, and spend $95.00. They have a coupon for 20% off and the sales tax is 8%. What is the total cost of the shopping trip?
Answer:
The total cost of the shopping trip is:
$82.08
Step-by-step explanation:
The Williams family goes shopping, and spend $95.00. They have a coupon for 20% off and the sales tax is 8%. What is the total cost of the shopping trip?
Step 1
We find the price after the discount
The Williams family goes shopping, and spend $95.00. They have a coupon for 20% off
Hence:
20% × $95
= $19
Therefore: $95 - $19
= $76
Step 2
We find the amount of sales tax
The sales tax is 8%
Hence:
8% of $76
= $6.08
Our sales tax = $6.08
Step 3
The total cost of the shopping trip is calculated as:
$76 + sales tax
= $76 + $6.08
= $82.08
5e^(x+2)-8=14
Solve for x
Answer: x=−0.518396
Step-by-step explanation:
Answer:
[tex] x=\ln (4.4) - 2 [/tex]
Step-by-step explanation:
[tex] 5e^(x+2)-8=14 [/tex]
[tex] 5e^(x+2)=22 [/tex]
[tex] e^(x+2)=4.4 [/tex]
[tex] \ln [e^(x+2)]=\ln 4.4 [/tex]
[tex] x+2=\ln 4.4 [/tex]
[tex] x=\ln (4.4) - 2 [/tex]
The bells are adding a new room to their house. The room will be a cube with volume 8,000 ft^3. They are going to put in hardwood floors, and the contractor charges $10 per square foot. How much will the hardwood floors cost?
Answer:
$4000
Step-by-step explanation:
Given that :
Volume of cube = 8000 ft³
Charge per ft² = $10
Recall, volume of a cube = a³
Where a = edge
Hence,
a³ = 8000
Take the cube root of both sides
a = 20
Hence,
Volume = 20 * 20 * 20
The Area of the floor will be :
20 * 20 = 400 ft²
If charge per ft² = $10
400 ft² = ($10 * 400) = $4000
Solve for z
−p⋅(51+z)=dz+84
z= (anwser)
Answer:
z=(84-p(51+z))/d
Step-by-step explanation:
What is the equation of the line through (4, -3) and (0, -2)?
A. y = 4x + 2
B. y=-4x - 2
C. y = -12- 2
D .y= 4x + 2
What is the midpoint, M, of line segment HG with
endpoints H(-10,2) and G(4,-4).
this is harder so i put more points
Answer:
Sheet metal costs $20 per square foot.
Step-by-step explanation:
7.6x - 2.3x = 106
We are finding the value of x.
5.3x = 106
Divide both sides by 5.3.
x = 106 ÷ 5.3
x = 20
Answer and Explanation
__________________________________________________________
Sheet metal costs $20 per square foot( x = 20 )__________________________________________________________
Sheet metal costs 20 dollars per square foot, and we can figure this out by multiplying the 20 by the numbers and subtracting them.
__________________________________________________________
[tex]7.6x-2.3x=106[/tex] but what does x equal? ( 20 )
[tex]7.6\cdot20[/tex] = [tex]152[/tex]
[tex]2.3\cdot20[/tex] = [tex]46[/tex]
__________________________________________________________
[tex]152-46[/tex] = [tex]106[/tex]
Which is the same in the question, so x = 20.
__________________________________________________________
Hope this helps! <3
__________________________________________________________