Answer:
i -j +2k . . . at s=t=-1
Step-by-step explanation:
For the lines to intersect, there must be values of s and t that make the coordinates of r1 equal to those of r2.
Equating i coefficients, we have ...
2 +s = 2 +t
Equating j coefficients, we have ...
2 +3s = 3 +4t
Equating k coefficients, we have ...
3 +s = 4 +2t
The first equation tells us s = t. Using t = s in each of the other two equations, they become ...
2 +3s = 3 +4s ⇒ s = -1
3 +s = 4 +2s ⇒ s = -1
Then the point of intersection is where s = t = -1. That point is ...
(2 +s)i +(2 +3s)j +(3 +s)k = (2 -1)i +(2 -3)j +(3 -1)k
= i -j +2k . . . . the point of intersection
the standard form: four and sixty-eight hundredths
Answer:
4 17/25
Step-by-step explanation:
68
four and sixty-eight hundredths => 4 ------- or 4 34/50 or 4 17/25
100
Answer:
you would need to use decimals
Step-by-step explanation:
Which function's graph has asymptotes located at the values x= ±nπ?
1-Y=csc x
2-Y=cos x
3-Y=tan x
4-Y=cot x
Answer:
[tex]y=csc(\theta)[/tex]
[tex]y=cot(\theta)[/tex]
Step-by-step explanation:
I will just change
[tex]x=\pm n\pi, n \in \mathbb{Z}_{\ge 0}[/tex]
For
[tex]\theta = \pi n, n\in\mathbb{Z}[/tex]
Also, note that sine and cosine function don't have asymptotes.
The vertical asymptotes of cosecant occur every [tex]\pi n, n\in\mathbb{Z}[/tex]
It happens because the cosecant function is undefined for those values.
The cotangent function has asymptotes located at every integer multiple of [tex]\pi[/tex].
On the other hand, the vertical asymptotes of tangent function occur at:
[tex]$\theta=\frac{\pi}{2} +n \pi, n \in \mathbb{Z}$[/tex]
It happens because the tangent function is undefined for those values.
Answer:
It's y = csc x and y = cot x.
Step-by-step explanation:
Please answer my question
Answer:
its
1/7
step by step
Answer:
The answer is H because there are 7 balls in total and two of which is red so the possiblity of getting the red ball is 2/7
Rona mixes 2 pounds of meat with some chopped vegetables to make a mixture. She divides the mixture into 4 equal portions. Each portion weighs 3 pounds. Which equation and solution shows the total amount of chopped vegetables she used in the mixture?
One-fourth (2 + v) = 3; v = 10 pounds of chopped vegetables
One-fourth (2 + v) = 3; v = 4 pounds of chopped vegetables
4 (2 + v) = 3; v = 1 pound of chopped vegetables
4 (2 + v) = 3; v = 5 pounds of chopped vegetables
Answer: (2+v) =3; v =10 pounds of chopped vegetables.
Step-by-step explanation:
the answer is:
a. one-fourth (2 + v) = 3; v = 10 pounds of chopped vegetables
Use the Quadratic Formula to solve the equation x² - 6x = -14.
1. X=3+23 or X = 3-V23
2. X=-3+V23 orX=-3-V23
3. X=-3+iv5 or X=-3-i15
4. X=3+iv5 orx = 3-iv5
Answer:
D. x = 3+i√5 or 3-i√5
Step-by-step explanation:
Given the equation x² - 6x = -14, on rewriting the equation in the firm if a quadratic equation ax²+bx+c = 0 will give x² - 6x + 14= 0.
Required
Use the quadratic formula to solve the equation.
The quadratic formula is expressed as x = (-b±√b²-4ac)/2a
From the equation given, a = 1, b = -6 and c = 145.
x = (-(-6)±√(-6)²-4(1)(14))/2(1)
x = = (6±√36-56)/2
x = = (6±√-20)/2
x = (6±√20*√-1)/2
Since √-1= i
x = (6±√20 i)/2
x = (6±√5*4 i)/2
x = (6±2√5 i)/2
x = 6/2 ± 2√5 i/2
x = 3±√5 i
x = 3+i√5 and 3-i√5
Hence the solution to the quadratic equation is x = 3+i√5 and 3-i√5
L-Lcosθ=v^2/2 solve for L
Answer:
[tex]$L=\frac{v^2}{2-2\cos(\theta)}$[/tex]
Step-by-step explanation:
Solve for [tex]L[/tex] in
[tex]$L-L \cos(\theta)=\frac{v^2}{2} \Longrightarrow L(1-\cos(\theta))=\frac{v^2}{2}$[/tex]
[tex]$L=\frac{v^2}{2(1-\cos(\theta))}=\frac{v^2}{2-2\cos(\theta)}$[/tex]
For what values of x is the value of the function f(x)=x² +3x+2 equal to zero?
Answer:
x=-2 x=-1
Step-by-step explanation:
f(x)=x² +3x+2
Set the function equal to zero
0=x² +3x+2
Factor
What 2 numbers multiply to 2 and add to 3
2*1 = 2
2+1 = 3
0 = ( x+2) (x+1)
Using the zero product property
x+2 =0 x+1 =0
x=-2 x=-1
Graph the parabola.
y=x^2-4x+2
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Vertex:
(2,−2)
Focus:
(2,−74)
Axis of Symmetry:
x=2
Find the area diagram below: Round to the nearest tenth.
30°
18m
1403
70.1
187
12
Answer:
The answer is option 2.
Step-by-step explanation:
First, you have to find the height of the triangle using Cosine Rule, cosθ = adjacent/hypotenuse :
[tex]cos(θ) = \frac{adj.}{hypo.} [/tex]
[tex]θ = 30,adj. = h,hypo = 18[/tex]
[tex] \cos(30) = \frac{h}{18} [/tex]
[tex]18 \cos(30) = h[/tex]
[tex]h = 9 \sqrt{3} \: m[/tex]
Next, you have to find the area of triangle using Sin Rule, Area = 1/2×a×b×sinC where a, b represent the side length of the angle and C is the angle :
[tex]area = \frac{1}{2} \times a \times b \times sin(C)[/tex]
[tex]let \: a = 9 \sqrt{3} ,b = 18,C = 30[/tex]
[tex]area = \frac{1}{2} \times 9 \sqrt{3} \times 18 \times \sin(30) [/tex]
[tex]area = 70.1 \: {m}^{2} \: (near.tenth)[/tex]
Answer:
70.1
Step-by-step explanation:
This is a 30-60-90 right triangle.
The ratio of side lengths is as follows:
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
The short leg is 1/2 the hypotenuse.
The long leg is sqrt(3) times the short leg.
A = bh/2
A = (18/2)(18/2 * sqrt(3))/2
A = 70.1
There are four points on a line: A, B, C and D, so that AB=1, BC=2, CD=4. Find all the possibilities of the length of segment AD.
Answer:
{1, 3, 5, 7}
Step-by-step explanation:
There are four possibilities:
AD = AB -BC -CD = 1 -2 -4 = -5
AD = AB +BC -CD = 1 +2 -4 = -1
AD = AB -BC +CD = 1 -2 +4 = 3
AD = AB +BC +CD = 1 +2 +4 = 7
Possible lengths of AD are 1, 3, 5, 7.
__
The negative sign means the segment is added toward the left instead of toward the right. A final negative value means D is left of A, instead of to the right.
CAN SOMEWON HELP ME PLZZZ I DONT GET IT
Hey there! I'm happy to help!
We want to put this 0.002 into scientific notation, where you put it as a one digit number multiplied by 10 raised to a certain power.
If we move the decimal to the right 3 times, we will have 2. We will multiply this 2 by [tex]10^-^3[/tex] to show that it is still equal to 0.002.
So, the mass of the mustard seed is 2×[tex]10^-^3[/tex].
Now, we multiply this mustard seed mass by the number of mustard seeds to find the weight of all of the mustard seeds combined.
(2×[tex]10^-^3[/tex])×(4.3602×[tex]10^4[/tex])
Let's round 4.3602 to the nearest whole number, which is 4. We multiply those two together.
2×4=8
And we multiply the two exponents. When multiplying them, you add the numbers in the exponent. -3 and 4 combined gives us 1, and 10 the first power is just 10.
So, a good estimate for the mass of the mustard seeds is 80 grams, which is the same as (2×[tex]10^-^3[/tex])×(4×[tex]10^4[/tex])=8×[tex]10^1[/tex]
Have a wonderful day! :D
Answer:
Hey There!! The answer to this is B: The mass of a single seed can be written as
There are total of seeds in the jar
Total mass is the multiplication of these both numbers.
Since we want an estimate, we can use 4 instead of 4.3602 in the 2nd number.
The rule to multiply two numbers in scientific notation is:
So using this formula we multiply the 2 numbers and get answer as follows:
Thus, Answer choice B is right.
Hope It Helped!~ ♡
ItsNobody~ ☆
Find the value of x. A. 45 B. 30 C. 6 D. 15
Answer:
answer is b
Step-by-step explanation: i am sure of it
Answer:
D. 15
Step-by-step explanation:
Both equations need the same end result because this is a square:
3x - 15 = 45 - x =
3x - 3x = 45 - x - 3x
0 = 45 - 4x
4x = 60
4x/4 = 60/4 =
X = 15
Check:
3(15) - 15 = 45 - 15
45 - 15 = 45 - 15
30 = 30
Anna, Gina, and Ted divided up a box of post cards. Anna took one-fourth of the cards. Gina took half of what remained. Ted took the remaining 6 cards. How many cards were in the box?
Answer:
16 cards
Step-by-step explanation:
We can use logic to find out how many cards were in the beginning.
If Ted took 6 cards, and Gina took half of what remained, then when Gina took cards, she had [tex]6\cdot2=12[/tex] to choose from.
Now, Anna took [tex]\frac{1}{4}[/tex] of the cards, meaning that 12 is [tex]\frac{3}{4}[/tex] of the amount of cards there originally were.
[tex]\frac{12}{x} = \frac{3}{4}\\\\12\cdot4=48\\\\48\div3=16[/tex]
Hope this helped!
help me i need help i am bad at math
Answer:
4x10⁷is more than 4x10¹⁰
Simplify: 1/2 (2a + b) - (4a + b) Show ALL work please!
Answer:
-3a-1/2b
Step-by-step explanation:
1/2(2a+b)-(4a+b)
2/2a+1/2b-4a-b
a-4a+1/2b-b
-3a+1/2b-2/2b
-3a-1/2b
Answer:
-3a -1/2 b
Step-by-step explanation:
1/2 (2a + b) - (4a + b)
Distribute
a + 1/2 b -4a -b
Combine like terms
a -4a +1/2b - b
-3a -1/2 b
în 2017, the Pew Research Center published the results of a survey on gun ownership. A random sample of 3930 American
adults aged 18 years and older participated in this survey. Of these 3930 individuals, 1269 individuals reported that they
owned at least one gun. Of these self-reported gun owners, 850 said the reason they owned a gun was for protection. Based on
this information, determine the sample proportion, p, of gun owners from this survey who own a gun for protection.
(Use decimal notation. Give your answer to three decimal places.)
Answer:
The sample proportion, p, of gun owners who own gun for protection is 0.67
Step-by-step explanation:
The information given are;
The sample size = 3930
The number of individuals who reported that they owned guns at least on gun = 1269
The number of the self reported gun owners that said the reason they owned gun for protection = 850
The sample proportion, p, of gun owners who own gun for protection is given as follows;
p = (The number of the self reported gun owners that said the reason they owned gun for protection )/(The number of individuals who reported that they owned guns at least on gun)
p = 850/1269 = 0.6698 ≈ 0.670 (to three decimal places)
Therefore, the sample proportion, p, of gun owners who own gun for protection = 0.67.
The two points on the coordinate plane represent Jane's house and her friend's house. Find the distance between the houses. Question 3 options: A) units B) units C) units D) units
Oh my god im so sorry i didnt mean to copy and paste my question here
What is the solution for -10 -19 x -1 x < -1
Answer:
x>-9/20 or x > -0.45
Step-by-step explanation:
simplify both sides of the inequality:
-20x-10<-1
add 10 to both sides of the inequality:
-20x<9
divide both sides of the inequality by -20:
x>-9/20
divide to discover the decimal value:
-9/20= -0.45
HOPE THIS HELPS!!!:)
Answer:x<-0.5
Step-by-step explanation:
10-19x-1x<-1
1st step=subtract 1x from 19x which will give you 18x
equation after:10-18x<-1
2nd step:subtract 10 from each side to isolate variable
equation after:-18x=9
3rd step:divide by side by -18 to isolate the variable
equation after:x<-0.5
In trapezoid ABCD, AB ∥ CD , m∠A=90°, AD=8 in, DC=9 in, CB=10 in, and ∠B is acute. Find DB.
Answer:
the length of DB is 17 in
Step-by-step explanation:
Consider the sketch attached.
We will draw an imaginary line from point C to met line AB at point E.
A right-angled triangle will now be formed between points CBE.
The dimensions of the right-angled triangle will be:
CB = 10 in
CE= 8 in
EB = unknown
We will now proceed to find out the length of side EB using the Pythagoras' theorem.
[tex]EB =\sqrt{CB^2 -CE^2} \\EB =\sqrt{10^2 -8^2} \\EB = 6 in[/tex]
From the shape, we can find out that another right-angled triangle is made between points DAB.
The dimensions of the triangle are:
DA= 8in
AB = 9 in + 6 in = 15 in
DB = unknown.
We will now proceed to find out the length of side DB using the Pythagoras' theorem.
[tex]DB =\sqrt{AD^2 +AB^2} \\DB =\sqrt{8^2 +15^2} \\DB = 17 in[/tex]
Therefore, the length of DB is 17 in
i dont get it plz help
Answer:
440 in²
Step-by-step explanation:
Answer:
(D) 440 in²
Step-by-step explanation:
We can find the surface area of this complex shape by breaking it down into two smaller shapes:
The base (with side lengths of 10, 10 and 2) and the top (with side lengths of 5, 5, and 8.)
Let's first find the surface area of the base.
The sides of the bass are [tex]10\cdot2 = 20[/tex] in², since there are 4 of these sides, the total side area here is [tex]20\cdot4 = 80[/tex] in².
The bottom of this prism has side lengths of 10 and 10, so [tex]10\cdot10=100[/tex].
There are two of these sides.
[tex]100\cdot2=200[/tex].
Let's add up the side lengths and the base lengths.
[tex]200+80=280[/tex]
We aren't done yet - if we see, the top part is taking away some of that surface area. To find how much it is taking away, we need to find the area of that side.
Note that the side on the base is the exact same as the top, who's side lengths are 5 and 5. So [tex]5\cdot5=25[/tex] in² are being taken away from the base, making it [tex]280-25 = 255[/tex]
Now let's find the surface area of the top.
The side, with lengths of 5 and 8, have a surface area of [tex]5\cdot8=40[/tex] in². Since there are 4 of these sides:
[tex]40\cdot4=160[/tex] in².
Now, the top of the box has side lengths of 5 and 5, so the surface area of that is [tex]5\cdot5 =25[/tex] in².
We don't want to find the area of the bottom of the top prism because that cuts into the base and technically is empty space = no surface area.
Let's add the top and the sides of the top box: [tex]160+25=185[/tex] in².
Finally, let's add the base and the top box surface areas together:
[tex]185 + 255 = 440[/tex]
So the total surface area of this design is 440 in².
Hope this helped (oh my god this took so long to write)
(20 POINTS!!!!) Jack can paint an entire house in 3 hours. Jill can do the same job in 4 hours. What portion of the house can they paint in 1 hour if they work together?
Solve for x. Show work plz
Step-by-step explanation:
Given,
RSTU is a parallelogram,
so, we need to find the value of x,
let's find it,
2x+15 = x+15 (opposite side of parallelogram are equal and parallel)
2x - x = 15-15
x=0
Therefore, the value of x is 0.
If you have doubt. then let's clear it by putting the value of x.
so, 2×0+15 = 0+15
15=15 {as already said that the sides are equal}
proved..
so, the value of x is 0.
Hope it helps.....
Answer:
x=0
Step-by-step explanation:
Assuming the two sides are equal length
2x+15 =x+15
Subtract 15 from each side
2x =x
Subtract x from each side
2x-x = x-x
x=0
I need help ASAP!! I have no idea how to do this and what side does it mean when it says other side??!
Answer:
1 point should be located before 4 points below C.
1 point should be located before 4 points above B.
1 point should be located at point A.
WILL GIVE BRAINLY!!!! describe the types of correlation between two variables on a graph
Negative Correlation - These variables point towards the left making them negative.
Positive Correlation - These variables point towards the right making them positive.
No Correlation - These variables have the same x coordinates or same y coordinates.
Hope that helped!!! k
If P(x)= x2 + x + 3 and Q(x) = 9x2 - 3, find P(8).
P(8)=D
(Type an integer or a fraction.)
Translate to an expression. How far have I travelled if I biked at 10mph for hhrs, I walked at 3mph for twice as long as I biked, and ran at 10mph for one quarter as long as I walked?
Answer:
10*h+3*2*10
Step-by-step explanation:
PLEASE ANSWER THESE QUESTIONS WITH A HOW TO PLEASE I DONT UNDERSTAND:
1) 0.01 divided by 1000
2) 0.012 divided by 100
3) 0.000851 divided by 10
Answer:
1) 0.00001
2) 0.00012
3)0.0000851
Step-by-step explanation:
Move the decimal place the amount of times being the same as the amount of zeros. Move it to make the number smaller because you are dividing.
1) move the decimal point to the right 3 times (because there are 3 zeros in 1000)
Hope that helped!!! k
Woah woah, no need to panic! I’ve got this taken care of for you!
1. 0.01 divided by 1,000= 100,000.000
Change the divisor 0.01 to a whole number by moving the decimal point 2 places to the right. Then move the decimal point in the dividend the same, 2 places to the right.
We then have the equations:
100000 ÷ 1 = 100,000.000
and therefore:
1,000 ÷ 0.01 = 100,000.000
Both calculated to 3 decimal places.
2. 0.012 divided by 100= 8,333.333
Change the divisor 0.012 to a whole number by moving the decimal point 3 places to the right. Then move the decimal point in the dividend the same, 3 places to the right.
We then have the equations:
100000 ÷ 12 = 8,333.333
and therefore:
100 ÷ 0.012 = 8,333.333
Both calculated to 3 decimal places.
3. 0.000851 divided by 10= 11,750.881
Change the divisor 0.000851 to a whole number by moving the decimal point 6 places to the right. Then move the decimal point in the dividend the same, 6 places to the right.
We then have the equations:
10000000 ÷ 851 = 11,750.881
and therefore:
10 ÷ 0.000851 = 11,750.881
Both calculated to 3 decimal places.
I hope this helped! <3
- ʕ•ᴥ•ʔ
pls help this is from khan academy
Answer:
[tex]y=-3x+7[/tex]
Step-by-step explanation:
This is asking you to provide the equation is slope-intercept form:
[tex]y=mx+b[/tex]
In this equation, m is the slope of the line and b is the y-intercept (where the x value is 0).
By looking at the graph, we can find the y-intercept:
[tex]y-intercept=7\\\\m=7[/tex]
To find the slope of the line, you can count how many spaces it takes to go from one point to another. To do this, it's best to find an even point (1,4) and make your way to (0,7).
The slope is represented by [tex]\frac{rise}{run}[/tex] , where the rise is the change in the y-axis and the run is the change in the x-axis.
From (1,4) , move up (rise) as many spaces as it takes to get to the y-axis level of "7", which is 3 spaces. From here, move to the left (run) as many spaces as it takes to get to the x-axis level of "0", which is 1 space. Since you moved to the left, however, this means that the number will be a negative:
[tex]\frac{rise}{run}=\frac{3}{-1}=-\frac{3}{1}=-3[/tex]
The slope is -3.
Insert the information into the equation:
[tex]y=-3x+7[/tex]
:Done
Answer:
the desired equation is y = -3x + 7
Step-by-step explanation:
The y-intercept can be read directly from the graph: (0, 7).
Another point on the graph is (2, 1).
As we move from (0, 7) to (2, 1), we see x (the run) increasing by 2 and y (the rise) decreasing by 6. Thus the slope of this line is m = rise/run = -6/2, or -3.
Start with the slope-intercept form of the equation of a straight line, which is y = mx + b.
Then 1 = (-3)(2) + b; find b:
1 = -6 + b, or b = 7
Then the desired equation is y = -3x + 7.
At which times could Rory's phone have been plugged into the charger? Select three options.
6 hours
9 hours
11 hours
14 hours
19 hours
Answer:
9 hours
11 hours
19 hours
9 hours, 11 hours, and 19 hours.
Mobile phone:A portable telephone that can make and receive calls over a radio frequency link while the user is traveling inside a telephone service area is known as a mobile phone, cellular phone, handphone, cell phone, cell phone, handphone, or pocket phone.Solution -
We can see that the given graph has both a climb and a fall.
The descending section of the graph shows a decline in battery life, and the rising part shows an increase in battery life.
The battery life increases while it is being charged.
Then, the increasing or steady component of the hours refers to the period of time Rory's phone might have been plugged into the charger.
Therefore, the times that this occurs are 9 hours, 11 hours, and 19 hours based on the selections provided.
Know more about mobile phones here:
https://brainly.com/question/917245
#SPJ2
PLEASE I REALLY NEED HELP WITH THIS KHAN ACADEMY QUESTION!!!!!!!
Answer:
∠RPS = 49º
Step-by-step explanation:
∠RPS + ∠QPR = 88º
(5x + 34) + (8x + 15) = 88
13x + 49 = 88
13x = 39
x = 3
plug x into equations:
∠RPS = 5(3) + 34
∠RPS = 15 + 34
∠RPS = 49º
check work:
∠QPR = 8(3) + 15
∠QPR = 24 + 15
∠QPR = 39
∠RPS + ∠QPR = 88º
49 + 39 = 88
Answer:
49
Step-by-step explanation:
(5x+34) + (8x+15)= 88
13x + 49 = 88
13x= 39
x=3
RPS= 5(3)+34
RPS= 15 +34
RPS= 49
