Nelson, this is the solution:
Let's recall that 1 pound = 0.4536 kg, therefore:
• 5 pounds = 0.4536 * 5
,• 5 pounds = 2.268 kilograms
For what values of x is the expression below defined?x+5+ v1 -O A. 5 >x>1B. 5 sxs1C. -5 s x < 1D. 5 > XS-1SUBMIT
The correct range of definition is;
[tex]C;\text{ -5}\leq x<1[/tex]Here, we want to get the range of values of x for which the given expression is defined
The key here is that any value of x that will make us have a negative value inside the root will make the expression undefined as that would give us a non-real root
Now, let us take a look at the options;
a) if x is greater than 1, we will have a negative root on the right, making the expression undefined. This option is wrong
b) This is also wrong; if 5 is less than x, then x might be 6 , which would give a negative root value
c) If -5 is less than x, x could take values of -4, -3, -2 and the root on the right will never be negative. But in cases like this, we have the spectrum upto positive values of x such as 5 which would make the root on the right negative and undefined. This range here is the correct answer
d) Here, 5 is greater than x, so the root on the left can never be negative. For values less than -1, like -6, what we have on the left will be undefined
find the x and y intercepts of 2x-5y=12 (write all answers as points)
Here, we want to find the x and y intercepts of the given line
We start by writing the equation of the line in the standard form
The standard form is;
[tex]y\text{ = mx + b}[/tex]where m is the slope and b is the y-intercept
We have the equation re-written as;
[tex]\begin{gathered} 5y\text{ = 2x - 12} \\ y\text{ = }\frac{2}{5}x\text{ - }\frac{12}{5} \end{gathered}[/tex]As we can see, we have the y-intercept at the point y = -12/5
The coordinate form at this point is (0,-12/5)
To find the x-intercept, we simply set y to zero
This is;
[tex]\begin{gathered} 0\text{ = }\frac{2}{5}x\text{ - }\frac{12}{5} \\ \\ \frac{2}{5}x\text{ = }\frac{12}{5} \\ \\ 2x\text{ = 12} \\ x\text{ = }\frac{12}{2} \\ x\text{ = 6} \end{gathered}[/tex]The x-intercept is thus (6,0)
the ratio to use to find the area of the sector is ____.the area of the circle is ____. the area of the sector is ____.
Ratio = 1/6
Area of circle = 64π
Area of sector = 64π/6 = 32π
Explanation:Area of sector when measured in degrees:
[tex]Areaof\sec tor\text{ = }\frac{\theta}{360}\times\pi r^2[/tex]The ratio here is the ratio of the central angle to 360
ratio = 60/360 = 1/6
the ratio to use to find the area of the sector is 1/6
Area of a circle = πr²
r = radius = 8
Area of a circle = π × 8² = π × 8 × 8
Area of the circle = 64π
Area of sector:
θ = 60°
Area of sector when measured in degrees:
[tex]Areaof\sec tor\text{ = }\frac{\theta}{360}\times\pi r^2[/tex][tex]\begin{gathered} =\frac{60}{360}\times\pi\times8^2 \\ =\frac{1}{6}\times\pi\times8^2 \end{gathered}[/tex][tex]\begin{gathered} \text{Area of sector = }\frac{64}{6}\pi\text{ (in simplest form)} \\ \text{Area of sector = }\frac{64}{6}\pi\text{ = }\frac{32}{3}\pi \end{gathered}[/tex]Evaluate the following expression when x =2 and z=5
The given expression is
[tex]\frac{z}{5x}[/tex]Let's replace x = 2, and z = 5.
[tex]\frac{5}{5\cdot2}=\frac{1}{2}[/tex]Hence, the answer is 1/2.Simplify the expression.
the expression negative six sevenths times k minus 7 plus the expression 5 plus one half times k
negative 19 over 14 times k plus negative 12
negative 5 over 14 times k plus negative 2
negative 5 over 9 times k plus negative 12
5 over 14 times k plus negative 2
The simplified form of the expression, negative six sevenths times k minus 7 plus the expression 5 plus one half times k is negative 5 over 14 times k plus negative 2.
Hence, the correct option is option (B).
What is an algebraic expression?An algebraic expression is consists of variables, numbers with various mathematical operations,
The given expression is,
negative six sevenths times k minus 7 plus the expression 5 plus one half times k.
The expression can be written in mathematical term,
(-6/7)k - 7 + 5 + 1/2(k)
Simplify the expression,
(-6/7)k + 1/2(k) - 7 + 5
((-12 + 7)/14) k - 2
(-5/14) k - 2.
-(5/14)k + (-2)
The simplified form is, negative 5 over 14 times k plus negative 2.
To know more about Algebraic expression on:
https://brainly.com/question/19245500
#SPJ1
Plot the points on your graph paper to answer the question.
Answer:
y=2x
y=x+2
there's ur answer.
I need it in slope intercept form and it has to be PERPENDICULAR to the equation it gives.
The equation of the line in slope intercept form perpendicular to 6x - 2y = 12 and has the same y-intercept is y = - 1 / 3 x - 6
How to find equation in slope intercept form?The equation in slope intercept form can be represented as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, the equation of the line is perpendicular to 6x - 2y = 12 and have the same y-intercept.
Hence, perpendicular lines follows the rule below:
m₁m₂ = -1
6x - 2y = 12
6x - 12 = 2y
y = 3x - 6
Hence,
3m₂ = -1
m₂ = - 1 / 3
Therefore, the slope of the line is - 1 / 3.
The y-intercept is -6
Therefore,
the equation of the line is y = - 1 / 3 x - 6
learn more on slope intercept form here:https://brainly.com/question/28380258
#SPJ1
State a conclusion that seems reasonable 6+06, 8+0=8, 9 -9, 100-0-100 Conclusion:
Answer
The most obvious conclusion from this is that
Adding 0 to any number gives that number itself.
This concept is known as the additive identity property of 0.
Hope this Helps!!!
If 35% of your candies was 42 candies, how many candies do you have?
Answer:
120 candles
Step-by-step explanation:
42/35 = x/100 and solve for x
x = 120
Answer:
120
Step-by-step explanation:
35%/100=42/x
Given the following expression: 8x2 + 26x – 15 One of its simplified factors is: NOTE: If an answer is (x + 1), then do not use any spaces in your answer and be sure to include the parentheses. Your answer would look like this: (x+1)
We have the following:
[tex]8x^2+26x-15[/tex]simplify:
[tex]\begin{gathered} 8x^2-4x+30x-15 \\ 4x(2x-1)+15(2x-1) \\ (2x-1)\cdot(4x+15) \end{gathered}[/tex]The answer are (2x - 1) or (4x + 15)
A triangular pane of glass has a height of 48 inches and an area of 432 square inches. What is the length of the base of the pane? The length of the base of the pane is inches.
We can express the area of a triangle as half the product of its base and height:
[tex]A=\frac{b\cdot h}{2}[/tex]Then, we can express the base in function of the known variables (area and height) as:
[tex]\begin{gathered} A=\frac{b\cdot h}{2} \\ 2A=b\cdot h \\ b=\frac{2A}{h} \end{gathered}[/tex]We replace with the known values (A=432 sq in, h=48 in) and calculate the base b:
[tex]b=\frac{2\cdot432\text{ in}^2}{48\text{ in}}=18\text{ in}[/tex]Answer: the base is 18 inches.
Order the following functions by growth rate
The following functions have the following growth rates:
2/N < 37 <√N < N < N log log N < N log N < N log(N^2) < N . log^2 . N < N^1.5 < N^2 <N^2. log N < N^3 < 2^N/2 < 2^N
How can you determine a function's growth rate?
The present value is divided by the past value, multiplied to the 1/N power, and then one is subtracted to get the formula for the average growth rate over time approach.
How may the growth rates of two functions be compared?
Determine the limit limxf(x)g(x) lim x f (x) g (x) given the functions f(x) and g(x).The growth rate of f(x) is a times the growth rate of g(x) for sufficiently large x if the limit in Step 1 is a finite constant a0 a 0.To learn more about functions click on the link below:
https://brainly.com/question/11624077
#SPJ9
help help hellpppppp
The equation of the line will be y = 2x + 1.
What do we mean by the equation of the line?The set of points that make up a line in a coordinate system is represented algebraically by a line's equation. An equation of a line is an algebraic expression that represents the many points that together make up a line in the coordinate axis as a set of variables, x, and y.So, the equation of the line:
The equation is parallel to y = 2x -2 and the slopes equation is y = mx + b where m is the slope.So, the slope is 2.Then, y = 2x + b
Now, substitute x = 1 and y = 3 in the above equation to find b:
y = 2x + b3 = 2(1) + bb = 3 - 2b = 1So, the equation of the line will be: y = 2x + 1
Therefore, the equation of the line will be y = 2x + 1.
Know more about the line's equation here:
https://brainly.com/question/18831322
#SPJ13
Write a polynomial function f of least degree that has rational coefficients, a leading
coefficient of 1, and the given zeros of -1, 2, and -3i. Show all work.
The least degree polynomial function with rational coefficients and the given zeros, -1, 2 and 3i is f(x) =[tex]x^{2} -x -2(\sqrt{x} -9)[/tex]
What do we mean by polynomial function?
A polynomial function is one that involves only non-negative integer powers or positive integer exponents of a variable in an equation such as the quadratic equation, cubic equation, and so on.
For example, 2x+5 is a polynomial with an exponent of one.
So given zeroes are -1 , 2 and 3i
We have,
x = -1
x +1 =0
Similarly for 2
x = 2
x -2 = 0
Again, For 3i
We have, x = 3i
Rewrite as x = [tex]\sqrt{-9}[/tex]
For easy calculation, squaring on both sides
[tex]x^{2} = -9[/tex]
[tex]x^{2} +9[/tex] =0
So, the polynomial has the function:
(x + 1)(x - 2) ([tex]\sqrt{x} -9[/tex])
[tex]x^{2} - 2x +x -2 (\sqrt{x} -9)\\x^{2} -x -2(\sqrt{x} -9)\\[/tex]
Therefore, the least degree polynomial function with rational coefficients and the given zeros, -1, 2 and 3i is f(x) =[tex]x^{2} -x -2(\sqrt{x} -9)[/tex].
Learn more about Polynomial Function at:
https://brainly.com/question/12976257
#SPJ1
NEED HELP URGENTLY!!!!!
20. Write a word problem such that the equation
to be formed for solving the problem is
QUESTION 6x +4(x - 10) = 140.
OPEN
In linear equation, x = 18 is the value of x in equation .
What is a linear equation example?
Ax+By=C is the usual form for two-variable linear equations.As an illustration, the conventional form of the linear equation 2x+3y=5 When an equation is given in this format, finding both intercepts is rather simple (x and y).A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.6x +4(x - 10) = 140.
6X + 4X - 40 = 140
10X = 140 + 40
10x = 180
x = 180/10
x = 18
Learn more about linear equation
brainly.com/question/11897796
#SPJ13
Polygon KLMN is drawn with vertices at K(1, 5), L(1, 0), M(−1, −1), N(−4, 2). Determine the image vertices of N′ if the preimage is rotated 90° counterclockwise. N′(−4, 2) N′(4, −2) N′(−2, −4) N′(2, 4)
ANSWER
N'(-2 , -4) Option C
EXPLANATION
Given:
A polygon KLMN with vertices at K(1, 5), L(1, 0), M(−1, −1), N(−4, 2).
Desired Outcome:
Image vertices of N′ if the preimage is rotated 90° counterclockwise
Answer: The correct answer is C
Step-by-step explanation:
I was correct on the quiz. WOWWWW
using trig to find sides
Step 1: Problem
Find the measure of
Step 2: Concept
Use trigonometry ratio to find the value of angle x.
Step 3: Method
Given data
Opposite = 3.2 side facing given angle
Adjacent = 5
[tex]\begin{gathered} U\sin g\text{ tagent formula} \\ \tan \theta\text{ = }\frac{Opposite}{\text{Adjacent}} \\ \tan x\text{ = }\frac{3.2}{5} \\ \tan x\text{ = 0.64} \\ x\text{ = }\tan ^{-1}\text{ 0.64} \\ x\text{ = 32.6} \end{gathered}[/tex]Step 4: Final answer
Graph the system of equations 2y=8x+18 24+4y=x
Answer:
draw the graphic vertical and edges line
put the dot on line
And put the 2y=8×+18 24+4y=×
one afternoon the shadow of a flagpole is 21 feet long at the same time the shadow of 109 foot high building is 54 feet long what is the approximate Height of the flag pole
Coplanar lines are referred to as parallel lines because they may be extended indefinitely without ever intersecting. || is the sign meaning "parallel to." If two lines are drawn, they don't have to be parallel, and a third line runs across them as seen in the diagram below. We may obtain eight distinct angles by drawing two parallel lines, and then drawing a transverse line through them.
Four pairs of matching angles will be created from all eight angles. One of the pairings is represented by angles F and B in the preceding diagram. If the two lines are parallel, corresponding angles are congruent.
To know more about lines refer to https://brainly.com/question/18831322
#SPJ1
Which of the following activities are examples of data gathering?Check all that apply.
Answer.
D.
Step by step explanation.
It's defined as the procedure of collecting, measuring, and analyzing accurate insights for research using standard validated techniques.
The most critical objective is ensuring that information rich and reliable data is collected dor statistical analysis so that data-driven decisions can be made for research
Which situation represents a proportional relationship?
O Renting a movie for $2 per day
O Renting a movie for $2 per day with a coupon for $0.50 off for the first day
O Renting a movie for $2 per day along with paying a $5 membership fee
O Renting a movie for $2 for the first day and $1 for each day after the first day
Answer:
renting a movie for 2 dollars a day
Step-by-step explanation:
the y does not repeat
Jerome is constructing a table of values that satisfies the definition of a function.
It is important to know that a function associates to every elemento of x a unique element of y. In other words, x-values should no repeat. Having said that, we can't fill the blank with -1, 0, 11, or 17.
Hence, the answers are -5 and 2.Divide. Reduce your answers to lowest terms.5/8 divide (-3 3/4)
Given data
5/8 divided by (-3 3/4)
Firstly, convert the mixed fraction into an improper fraction
[tex]\begin{gathered} -3\text{ }\frac{3}{4}\text{ can be converted to the below improper fraction} \\ -3\text{ }\frac{3}{4}\text{ = -}\frac{(4\text{ x (3) + 3}}{4} \\ -\text{ 3}\frac{3}{4}\text{ = - }\frac{12\text{ + 3}}{4} \\ -\text{ 3 }\frac{3}{4}\text{ = - }\frac{15}{4} \\ \text{Therefore, 5/8 divided by - 15/4} \\ \frac{5}{8}\text{ / -}\frac{15}{4} \\ \frac{5}{8}\text{ x -}\frac{4}{15} \\ =\text{ }\frac{-20}{120} \\ =\text{ - }\frac{1}{6} \end{gathered}[/tex]Answer = - 1/6
g(9)+h(-14) if g(x)=14-2/3x and h(x)=-x-7?
The value of g(9) + h(-14) is 15.
We are given two functions, h(x) and g(x).The function h(x) is defined as given below:The function h(x) equals -x - 7.The function g(x) is defined as given below:The function g(x) equals 14 - (2/3)x.We have to find the sum of g(9) and h(-14).To find g(9), replace "x" with 9 in the definition of function "g".g(9) = 14 - (2/3)*9g(9) = 14 - (2*3)g(9) = 14 - 6g(9) = 8To find h(-14), replace "x" with -14 in the definition of function "h".h(-14) = -(-14) - 7h(-14) = 14 - 7h(-14) = 7g(9) + h(-14) = 8 + 7g(9) + h(-14) = 15To learn more about functions, visit :
https://brainly.com/question/12431044
#SPJ1
What is the contrapositive of the following sentence?If two triangles are congruent, then their corresponding angles are congruent.
Given:
If two triangles are congruent, then their corresponding angles are congruent.
Contapositive statement:
If two triangles are not congruent , then their corresponding angles are not congruent.
Option C is the correct answer
can someone please help me out with consumer math. please and thank you
currency-
exchange rate- c
extrinsic value - g
fiat monetary system- e
gold standard - a
intrinsic value
trade
Can someone please help me solve this pleaseeee, I’m struggling and depressed
Step-by-step explanation:
your teacher gave you the formula, the values, even did the tricky part by telling you that 63 months are 5.25 years.
all you need to do is put everything into the formula and calculate.
so, calm down, breathe and just use common sense :
1.
after 2 years (means t = 2) :
2000 × (1.025)^(2×2) = 2000 × (1.025)⁴ =
= 2000 × 1.103812890625 =
= $2,207.62578125 ≈ $2,207.63
as rounding to the nearest cent means rounding to 2 positions after the decimal point.
2.
after 63 months = 5.25 years (t = 5.25)
2000 × (1.025)^(2×5.25) = 2000 × (1.025)^10.5 =
= 2000 × 1.295986825... =
= $2,591.973651... ≈ $2,591.97
3.
$2,000
because, even t = 0 we have
2000 × (1.025)^(2×0) = 2000 × (1.025)⁰ = 2000 × 1 =
= $2,000
If 5 friends want to share 1.25 of a pizza evenly how much pizza would each person get?
Answer:
0.25
Step-by-step explanation:
1.25 ÷ 5 = 0.25
Answer = 0.25
Hope this helps!
Btw, Brainliest if correct, thanks!
Find the equation of a parabola with a focus of (0, 15) and directrix y = –15.
The equation of the parabola is x² = 60y after applying the concept of the parabola.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
(x - h)² = 4a(y - k)
(h, k) is the vertex of the parabola:
a = √[(c-h)² + (d-k²]
(c, d) is the focus of the parabola:
It is given that:
Focus of (0, 15) and directrix y = –15.
Let (x, y) be on the parabola:
The distance between focus and (x, y):
The distance formula can be given as:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\rm d=\sqrt{(x-0)^2+(y-15)^2}[/tex]
[tex]\rm d=\sqrt{x^2+(y-15)^2}[/tex]
Directrix y = -15
y + 15 = 0
[tex]\rm \sqrt{x^2+(y-15)^2} = |y + 5|[/tex]
Squaring both sides:
x² + (y - 15)² = (y + 15)²
x² + y² -30y + 225 = y² + 30y + 225
x² -30y = 30y
x² = 30y + 30y
x² = 60y
Thus, the equation of the parabola is x² = 60y after applying the concept of the parabola.
Learn more about the parabola here:
brainly.com/question/8708520
#SPJ1
Please help! Will give brainliest!