Answer:
option D) (x,y,z)
Step-by-step explanation:
we know that
The three-dimensional Cartesian coordinate is defined by three axes at right angles to each other, forming a three dimensional space.
The three axes are labeled x ,y and z.
The x-axis is called abscissa
The y-axis is called ordinate
The z-axis is called applicate
therefore
A point in a three-dimensional Cartesian coordinate is represented by (x,y,z)
A line passes through the origin and has a slope of 1/2.
Which of the following points does the line pass through?
(0, 1/2)
(1/2,1)
(1, 2)
(2,1)
Answer: the answer is C. (1, 2)
Step-by-step explanation: because the origin is 0 and slope is rise over run. so if you start at 0, go up one, and over two, your point is at (1,2) .
Answer:
Option D.
Step-by-step explanation:
A line will be in the form of y = mx + c
Where m = slope of the line and c = y-intercept
In this question slope of the line is given as [tex]\frac{1}{2}[/tex] and it passes through origin.
Since line passes through origin then there will be no y-intercept that means c=0
So equation will be y = [tex]\frac{1}{2}[/tex]x
Now check each option that satisfy the equation of the line.
Option A. ( 0, [tex]\frac{1}{2}[/tex] )
y = 0 ≠ [tex]\frac{1}{2}[/tex] so invalid option
Option B. ( [tex]\frac{1}{2}[/tex], 1 )
y = [tex](\frac{1}{2})[/tex] [tex](\frac{1}{2})[/tex] = [tex](\frac{1}{4})[/tex] ≠ 1 Invalid option
Option C. ( 1,2)
y = [tex](\frac{1}{2})[/tex] × 1 = [tex](\frac{1}{2})[/tex] ≠ 2 Invalid option
Option D. ( 2, 1 )
y = [tex](\frac{1}{2})[/tex] × 2 = 1 correct option
Option D. is the correct answer.
Find an explicit formula for the arithmetic sequence -2,-14,-26,-38,...
Answer:
-12
Step-by-step explanation:
We can just try and find what works! since we can subtract 12 from -2 and get -14, we might try subtracting 12 every time. After we test it out, we see that is is correct!
Answer:
10-12n
Step-by-step explanation:
145 is what percent of 620
Hello There!
145 is 23.39% of 620
HOW TO SOLVE
Equation: Y = P% * X
We need to solve our equation for "P"
P% = Y/X
P% = 145/620
p = 0.2339
Convert decimal to percent:
Percent = 0.2339 * 100 = 23.39%
Rectangle ABCD is dilated by a scale factor of 3 with the center dilation at (0,0). What is the area, in square units, of resulting dilated rectangle A’B’C’D’
Answer:
216
Step-by-step explanation:
The area dilation ratio is the square of the length dilation ratio
The area of the original rectangle is 6*4=24
the length dilation ratio is 1:3
the area dilation ratio would be 1:3² which is 1:9
The resulted area=24*9
=216
what is the vertex of y = −(x + 4)2 − 7
Answer: [tex](-4,-7)[/tex]
Step-by-step explanation:
By definition, the equation of parabola in Vertex form is:
[tex]y=a(x - h)^2 + k[/tex]
Where (h, k) is the vertex of the parabola.
You need to remember that multiplication of signs:
[tex](+)(+)=+\\(-)(-)=+\\(-)(+)=-[/tex]
Then given the equation [tex]y = -(x + 4)^2 - 7[/tex], you know that this is:
[tex]y = -(x -(-4))^2 +(-7)[/tex]
You can observe that the value of "h" and the value of "k" of this equation are:
[tex]h=-4\\k=-7[/tex]
Therefore, the vertex is:
[tex](-4,-7)[/tex]
Choose the point-stope form of the equation below that represents the line that passes through the point (-1, 6) and has a slope of -3
Answer:
y-6 = -3(x+1)
Step-by-step explanation:
The point-slope form of a line is the following:
y-yo = m(x-xo), where 'm' is the slope and (xo, yo) is any point where the line passes through.
In this case, m=-3 and (xo, yo) = (-1, 6).
Therefore: y-yo = m(x-xo) = y-6 = -3(x+1)
In conclusion, the point-slope form of the equation that represents the line that passes through the point (-1, 6) and has a slope of -3 is:
y-6 = -3(x+1)
For this case we have that the equation of a line in the point-slope form is given by:
[tex](y-y_ {0}) = m (x-x_ {0})[/tex]
Where:
m: It's the slope
[tex](x_ {0}, y_ {0})[/tex]: It is a point through which the line passes
According to the data we have to:
[tex]m = -3\\(x_ {0}, y_ {0}) = (- 1,6)[/tex]
So the equation is:
[tex](y-6) = - 3 (x - (- 1))\\(y-6) = - 3 (x + 1)[/tex]
Answer:
[tex](y-6) = - 3 (x + 1)[/tex]
What constant term should be used to complete the square?
x 2 - 9x + _____ = 6
-81/4
81/36
-9/2
81/4
Final answer:
To complete the square for the equation x² - 9x + _____ = 6, the constant term should be (81/4). This is obtained by dividing the coefficient of x by 2 and then squaring it.
Explanation:
The constant term required to complete the square for the equation x² - 9x + _____ = 6 can be found using a specific algebraic method. To complete the square, the coefficient of the x term should be divided by 2 and then squared. Therefore, for the equation provided, we take (-9/2) and square it, which results in (81/4). The complete equation after adding the constant term will be x² - 9x + 81/4 = 6 which, after completing the square, can be written as (x - 9/2)² = 6 + 81/4.
The sum of a number and three more than twice that number is 27. What is the smaller number?
Answer:
7
Step-by-step explanation:
27 + 27 = 54
54 + 3
57
Smaller number is: 7
what is the true solution to 3 ln 2+ln 8=2ln(4x)
Answer:
x = 2
Step-by-step explanation:
Using the rules of logarithms
• log [tex]x^{n}[/tex] ⇔ nlog x
• log x + log y ⇔ log(xy)
• log x = log y ⇒ x = y
Given
3 ln2 + ln8 = 2ln(4x)
ln2³ + ln8 = ln(4x)²
ln8 + ln8 = ln16x²
ln(8 × 8) = ln16x²
ln64 = ln16x², hence
16x² = 64 ( divide both sides by 16 )
x² = 4 ( take the square root of both sides )
x = [tex]\sqrt{4}[/tex] = 2
Answer: x=2 so B on edg
What is the volume if this rectangular prism: 5/2 cm by 3/4 cm by 1/3 cm
Answer:
5/8 cm
Step-by-step explanation:
5/2*3/4=15/8
15/8*1/3=15/24=5/8
Answer:
V = 5/8 cm^3
Step-by-step explanation:
V = l*w*h
V = 5/2 * 3/4 * 1/3
The 3's cancel
V = 5/2 * 1/4 * 1/1
V = 5/8 cm^3
You take a random token from a bag that contains 44 red, 1414 green, and 66 blue tokens.
What is the probability your token is red?
Answer:
1/6.
Step-by-step explanation:
Total number of tokens in the bag = 4 + 14 + 6 = 24.
There are 4 red tokens so the probability of picking a red
= 4/24
= 1/6.
Lines a and b are parallel and lines e and f are parallel.
What is the value of x?
The angles circled in red below are same side exterior. This means that the sum of them is 180 degrees. You can make a formula like so that you will solve for x...
98 + x = 180
98 - 98 + x = 180 - 98
0 + x = 82
x = 82
Another way to solve:
The angles circled in pink below are opposite side exterior. This means that they must equal each other...
82 = x
x = 82
Hope this helped!
~Just a girl in love with Shawn Mendes
24π=2π(r^2+r) solve for r
Answer:
r=3
Step-by-step explanation:
24π=2π(r^2+r)
Divide each side by 2 pi
24π/2π =2π/2π(r^2+r)
12 = r^2 +r
Subtract 12 from each side
12-12 = r^2 +r -12
0 = r^2 +r -12
Factor
What number multiply to -12 and add to 1
4*-3 = -12
4-3 = 1
0= (r+4) (r-3)
Using the zero product property
r+4 =0 r-3 =0
r+4-4 =0-4 r-3+3=0+3
r = -4 r = -3
Assuming r is the radius, r must be positive
r =3
What is the product of 3a(8a-6a)
Answer:
6a^2
Step-by-step explanation:
f(x)=x^3-5x^2-6x what does x equal
Answer:
x = 0, 6, -1
Step-by-step explanation:
We need to set f(x) = 0 to find the values of x for this expression.
So
[tex]x^3-5x^2-6x=0[/tex]
We will factor out an x and do middle term factorization to arrive at our answer for x (there will be 3 x values):
[tex]x^3-5x^2-6x=0\\x(x^2-5x-6)=0\\x(x-6)(x+1)=0\\x=0,6,-1[/tex]
These are the 3 values for x.
3=a(4-7)^2-33 Please bruuuuuuuuu
Answer:
a = 4
Step-by-step explanation:
Assuming you require to solve for a
Given
3 = a(4 - 7)² - 33 = a(- 3)² - 33 = 9a - 33
Add 33 to both sides
9a = 36 ( divide both sides by 9 )
a = 4
What is the solution to this equation?
4x - 6 + 2x = 18
Answer:
x = 4
Step-by-step explanation:
Given
4x - 6 + 2x = 18 ← simplify left side by collecting like terms
6x - 6 = 18 ( add 6 to both sides )
6x = 24 ( divide both sides by 6 )
x = 4
The solution to the equation 4x - 6 + 2x = 18 is x = 4.
To solve the equation 4x - 6 + 2x = 18, we need to combine like terms and isolate the variable x.
First, let's combine the like terms on the left side of the equation:
4x + 2x - 6 = 18
This simplifies to:
6x - 6 = 18
Next, we can isolate the variable x by adding 6 to both sides of the equation:
6x - 6 + 6 = 18 + 6
This simplifies to:
6x = 24
To solve for x, we can divide both sides of the equation by 6:
(6x)/6 = 24/6
This simplifies to:
x = 4
Therefore, the solution to the equation 4x - 6 + 2x = 18 is x = 4.
To learn more about the Equation of line click:
https://brainly.com/question/21511618
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If $560 is invested at an interest rate of 9% per year and is compounded continuously, how much will the investment be worth in 5 years?
Use the continuous compound interest formula A = Pert
Answer:
$878.25
Step-by-step explanation:
Continuously compounded interest is:
A = Pe^(rt)
where A is the final amount, P is the initial amount, r is the interest rate, and t is the number of compoundings.
Here, P = 560, r = 0.09, and t = 5.
A = 560e^(0.09×5)
A = 878.25
Final answer:
To calculate the future value of an investment compounded continuously, use the formula A = Pert. In this case, the investment will be worth approximately $877.29 in 5 years.
Explanation:
To calculate the future value of an investment compounded continuously, we can use the formula A = Pert, where A is the future value, P is the initial principal, r is the annual interest rate, and t is the time in years. In this case, P = $560, r = 0.09, and t = 5. Plugging these values into the formula, we get:
A = 560e^(0.09⋅5)
A ≈ 560e^0.45
A ≈ 560 ⋅ 1.5662
A ≈ $877.29
Therefore, the investment will be worth approximately $877.29 in 5 years.
ASAP help
The length of a rectangle is 3 inches more than twice its width, and its area is 65 square inches. What is the width? If w = the width of the rectangle, which of the following expressions represents the length of the rectangle?
A. 2w + 3
B. 2(w + 3)
C. 3(2w)
Answer:
2W+3 I am really sorry if that's wrong, I don't think it is though GOODLUCK
Step-by-step explanation:
Answer:
The correct answer is option A. 2w + 3
w = 5 inches
Step-by-step explanation:
It is given that, the length of a rectangle is 3 inches more than twice its width, and its area is 65 square inches.
To find the correct option
If 'w' is the width of rectangle, then length = 3 inches more than the twice the width
length = 2w + 3
The correct answer is option A. 2w + 3
To find the width
We have area = 65 square inches
Length * Width = 65
(2w + 3) * W = 65
2w² + 3w - 65 = 0
Solving we get ,
w = 5 and -6.5
Therefore w = 5 inches
Find the greatest common factor of the
following monomials:
15x4y6 6x5y?
12x3, 4
1. The monomials are:
[tex]15 {x}^{4} {y}^{6} = 3 \times 5 {x}^{4} {y}^{6} [/tex]
and
[tex]6 {x}^{5} {y} = 2 \times 3 {x}^{5} y[/tex]
The highest common factor is the product of the least powers of the common factors.
The HCF is
[tex]3 {x}^{4} y[/tex]
2. The monomials are:
[tex]12 {x}^{3} = {2}^{2} \times 3 {x}^{3}[/tex]
[tex]4 = {2}^{2} [/tex]
The HCF is
[tex]{2}^{2} = 4[/tex]
Which of the following ratios is proportional to 8 adults: 6 children?
4 adults:3 children
3 adults:4 children
10 adults:5 children
12 adults:10 children
Answer:
12 adults:10 children
Step-by-step explanation:
i don't know how i got it i just know it because i had this exact same question before and i guessed and this was the correct answer :|
Answer:
12 Adults 10 Children
is correct
Which of the choices is NOT a good example of a line of best fit?
Answer:
B
Step-by-step explanation:
B because the line doesn't go through any of the data points.
what is 5.293 rounded to the nearest hundredth
Answer:
5.29
Step-by-step explanation:
Answer:
5.29
Step-by-step explanation:
7x2 +11x-6/7x2 - 10x + 3
Answer:
Final result :
x + 2
—————
x - 1
Step-by-step explanation:
Step-1 : Multiply the coefficient of the first term by the constant 7 • 3 = 21
Step-2 : Find two factors of 21 whose sum equals the coefficient of the middle term, which is -10 .
-21 + -1 = -22
-7 + -3 = -10 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and -3
7x2 - 7x - 3x - 3
Step-4 : Add up the first 2 terms, pulling out like factors :
7x • (x-1)
Add up the last 2 terms, pulling out common factors :
3 • (x-1)
Step-5 : Add up the four terms of step 4 :
(7x-3) • (x-1)
Which is the desired factorization
Please mark brainliest and have a great day!
Answer:
Here's what I get.
Step-by-step explanation:
[tex]\dfrac{ 7x^{2} + 11x - 6}{ 7x^{2} - 10x + 3}[/tex]
One way is to factor the numerator and the denominator
[tex]\dfrac{ 7x^{2} + 11x - 6}{ 7x^{2} - 10x + 3} = \dfrac{(7x - 3)(x + 2)}{ (7x - 3)(x - 1)} = \dfrac{x+2}{x-1}\\\\\text{Except when } x = \dfrac{3}{7}[/tex]
PLEASE HELP!
Complete the following steps to help find the standard deviation of the data set by hand.
1, 3, 5, 15, 2, 11, 12, 7
a) Find the mean value. (I have already done this, it is 7.)
b) Complete the table to find the deviations and the squared deviations. (I NEED HELP ON THIS THE MOST! Screenshot of table is attached.)
c) Find the sum of the squared deviations. SHOW YOUR WORK.
d) Find the standard deviation. Round your answer to the nearest tenth. SHOW YOUR WORK.
Answer:
See Step-by-step
Step-by-step explanation:
b)Table:
x x-Mean (x-Mean)^2
1 1-7=-6 36
3 3-7=-4 16
5 5-7=-2 4
15 15-7=8 64
2 2-7=-5 25
11 11-7=4 16
12 12-7=5 25
7 7-7=0 0
c)Find the sum of the squared deviations:
(36+16+4+64+25+16+25+0)/8=23.25
d)Find the standard deviation by finding the square root of 23.25
The answer is 4.8
Which is the point-slope form of an equation for the line that passes through (0, –5) with slope 2?
Question 3 options:
a)
y = 2x – 5
b)
y – 5 = x – 2
c)
y + 5 = 2x
d)
y = 2(x + 5)
Answer:
c) y + 5 = 2x
Step-by-step explanation:
Insert the coordinates into the formula with their CORRECT signs. Remember, in the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE term of what they really are.
Evaluate the function f(x)= -3x+7 at the indicated values a)find (2)
B)find f(-2)
Given fx) = 3x - 1 and g(x) = 2X-3, for which value of does g(x) = f(2)?
A)x=3/2
B)x=2
C)5/2
D)x=4
Answer:
D. x =4
Step-by-step explanation:
problem solved on picture
Help meeeee eeeeeeeeee reeeeeeee
Answer:
option number 1st is the correct answer.
Answer:
the second because it shows you the way its
Step-by-step explanation:
Write the first five terms of the arithmetic sequence whose first term is 5 and whose common difference is 6.
Answer:
5, 11,17,23,29
Step-by-step explanation:
To obtain the term in the sequence add the common difference to the previous term, that is
a(1) = 5
a(2) = 5 + 6 = 11
a(3) = 11 + 6 = 17
a(4) = 17 + 6 = 23
a(5) = 23 + 6 = 29
The first five terms of an arithmetic sequence starting with 5 and a common difference of 6 are 5, 11, 17, 23, and 29.
The first five terms of the arithmetic sequence with the first term 5 and a common difference of 6 can be found by successively adding the common difference to the previous term.
Third term (a3) = a2 + 6 = 11 + 6 = 17
Fifth term (a5) = a4 + 6 = 23 + 6 = 29
Therefore, the first five terms of the arithmetic sequence are 5, 11, 17, 23, and 29.