Answer:
El área de la casa es de 1,304 m²
Step-by-step explanation:
De las dimensiones dadas en línea, tenemos que el área del jardín = 640 m²
Las dimensiones del jardín son;
Longitud = 40 m.
Ancho = a m
Por lo tanto, 40 × a = 640
a = 640/40 = 16 m
La dimensión del compuesto es así;
Longitud = 40 + 14 = 54 m
Ancho = 20 + a = 20 + 16 = 36 m
El área del compuesto = Área de la casa + Área del jardín
El área del compuesto = Ancho del compuesto × Longitud del compuesto
El área del compuesto = 36 × 54 = 1,944 m²
∴ 1,944 m² = Área de la casa + Área del jardín
1,944 m² = Área de la casa + 640 m²
Área de la casa = 1,944 m² - 640 m² = 1,304 m²
El área de la casa = 1,304 m².
Translate into an algebraic expression:40 increased by x%
Answer:
2/5x
Step-by-step explanation:
x% of 40= x/100×40
= 40/100x = 2/5x
A polynomial of the 5th degree with a leading coefficient of 7 and a constant term of 6 choose 1 answer: . 7x^5+2x^2+6 .6x^7-x^4+5 .6x^5+x^4+7 .7x^6-6x^4+5
Answer:
7x^5+2x^2+6
Step-by-step explanation:
7x^5+2x^2+6
6x^7-x^4+5
6x^5+x^4+7
7x^6-6x^4+5
5th degree polynomial means the the term with highest degree has degree 5.
7x^5+2x^2+6
6x^7-x^4+5
6x^5+x^4+7
7x^6-6x^4+5
Leading coefficient is the coefficient of the term with highest degree.
Constant is the number with no variable.
7x^5+2x^2+6
n is an interger -15<3n《6
write the values of n
Answer:
So for the first few small values of n, we have proven by demonstration that f(n) = n / (n+1).
Our task is to prove that if it works for any positive integer value of n, then it works for n + 1. This way, it must by induction work for all subsequent values of n.
Formally said, we need to prove that if for some positive integer n we can show that f(n) = n / (n+1), then we can conclude that f(n+1) = (n + 1) / (n + 2).
We begin the real "proof" by expanding f(n + 1):
f(n + 1) = f(n) + 1 / ((n+1)((n+1)+1)) because that's based on the construction.
= n / (n+1) + 1 / ((n+1)(n+2)) because f(n) = n / (n+1); this is called "using what you know from earlier".
= n(n+2) / ((n+1)(n+2)) + 1 / ((n+1)(n+2)) because we can multiply the left fraction by (n+2)/(n+2).
= (n2 + 2n + 1) / ((n+1)(n+2)) because we have a common denominator and can combine the numerators.
= (n+1)2 / ( (n+1)(n+2)) because we can factor the numerator now; it is a perfect square.
= (n+1) / (n+2) because we can cancel the common (n+1) factor from the numerator and denominator.
Q.E.D. (which means "that which was to be proven", in other words: "voilà")
Step-by-step explanation:
Jerry wants to buy his grandpa’s old car for $500.00. He works 10 hours a week at $7.50 an hour. How many weeks will he need to work before he earns enough money to buy the car?
Answer:
she needs to save up for 3 months
Step-by-step explanation:
What is the probability of drawing two yellow marbles if the first one is NOT placed back into the bag before the second draw? Their is 10 marbles total, 2 yellow, 3 pink, and 5 blue. PLZ I NED DA HELP
Answer:
pretty sure it would be 4/45. hope this helps!
which expression can be used to determine the reference angle for an angle, x, measuing 150 degrees
Answer:
see explanation
Step-by-step explanation:
150° is in the second quadrant.
To find the reference angle in the first quadrant subtract from 180°
reference angle = 180° - 150° = 30°
Answer:
-180-x
Step-by-step explanation:
The correlation coefficient between two quantitative variables is approximately 0.02. What does the value of this correlation coefficient indicate about how well the model fits the data?
Answer:
The correlation coefficient "tell us" that the model in question does not fit the data well (the correlation coefficient is near zero), in whose case we need to find another that can do it.
Step-by-step explanation:
Roughly speaking, the correlation coefficient "tell us" if two variables could present the following behavior:
As one variable increases, the other variable increases too. In this case, the correlation coefficient is high and positively correlated. As the correlation coefficient is near 1, the correlation between two quantitative variables is almost perfect.As one variable decreases, the other variable decreases too. In this case, the correlation coefficient is also high, but negatively correlated. As the correlation coefficient is near -1, this correlation is almost perfect for this case.There could be no correlation at all. In this case, the correlation coefficient is near a zero value.As we can follow from the question, a correlation coefficient of 0.02 is near to zero. In this case, the correlation coefficient is "telling us" that the two variables do not follow the cases 1 and 2 above described. Instead, it follows the case 3.
Therefore, the model in question does not fit the data well, in whose case we need to find another that can do it. For example, if the model is linear, we need to test an exponential model.
It is important to remember that the correlation coefficient does not tell us anything about that one variable causes the other variable, only behaviors as described above.
SOMEONE PLS HELP ME WITH THIS ASAP
The diagram shows a circle with a
circunference of 88 cm and a sector of a circle.
Khairul uses the circle and the sector
to form a right cone with the height of 15 cm Calculate the volume, in cm of the cone formed.
[tex]use \: \pi = \frac{22}{7} [/tex]
Answer:
Let's solve for the radius.
r = C / 2π = 88 / (2 * 22/7) = 14
Volume of a cone = 1/3 * πr²h
= 1/3 * 22/7 * 14² * 15
= 3080 cm³
Suppose that g(x)=f(x)+5 2which statement best compares the graph of g(x) with the graph of f(x)
A.the graph of g(x) is the graph of f(x) shifted 5 unites up.
B.the graph of g(x) is the graph of f(x) shifted 5 units to the right.
C.The graph of g(x) is the graph of f(x) shifted 5 units down.
D.the graph of g(x) is the graph of f(x) shifted 5 units to the left.
Answer:
A
Step-by-step explanation:
Given f(x) then f(x) + c represents a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Given
g(x) = f(x) + 5
Thus the graph of g(x) is the graph of f(x) shifted 5 units up → A
Which best describes the range of a function?
The range of a function may refer to either of two closely related concepts: The codomain of the function The image of the function
MARK BRAINLIEST PLEASE DEAR...THANKS I LOVE U
Find the distance between a point (–7, –19) and a horizontal line at y = 3. Choices are in the attachment...
Explanation:
The distance we're after is the vertical distance from the point to the line. So we only care about the difference in y values from y = -19 to y = 3
You can count out the spaces or use subtraction along with absolute value
distance from P to Q = |P-Q|
distance from -19 to 3 = |-19-3|
distance from -19 to 3 = |-22|
distance from -19 to 3 = 22
The absolute value is to ensure the result is never negative.
12: PLEASE HELP Evaluate the expression a*b where a=6 and b=15
Answer:
90
Step-by-step explanation:
You're equation is a * b, and that is equal to 6 * 15.
so, it is 90.
HELP PLEASEEEEEEEEEE
Answer:
x = -1/4(y +3)2 - 2.
Step-by-step explanation:
Here are the steps:
Find if parabola is horizontal or vertical
Find vertex and substitute into equation of step 1
Use another point to find a in the equation.
--------------------------------------------------------------------------------
Parabola is obviously vertical.
that means we use x = a(y - k)2 + h
Our vertex is (-2,-3), and it's also (h, k)
so, our current equation is x = a(y - -3)2 - 2 and if we simplify it,
we get x = a(y +3)2 - 2.
It's not over yet, cuz we still need a.
so, we substitute in a point (x, y). We can use (-4, 1).
We plug in and get -4 = a(1 +3)2 - 2.
We solve like a one variable linear equation and get a = -1/4
Thus our equation is x = -1/4(y +3)2 - 2.
Here are the ingredients needed to make 8 pancakes. 250 ml milk 1 egg 140g flour 5g butter Craig makes 20 pancakes. Work out how much flour he needs.
Answer: 56g flour
Step-by-step explanation: 140/20 = 7g
7 x 8 = 56g
What is the line of best fit? Why do we want the sum of the residuals to be as close to zero as possible?
Answer:
Step-by-step explanation:
What sis line of best fit?
The line of best fit may be explained as a straight line which is drawn to pass through a set of plotted data point which gives the best and most approximate relationship between the data points. A line of best fit is required to give the best approximate value between the set of plotted data points such that it allows making inference on new data points while also ensuring the least possible deviation from the original data points.
Why do we want the sum of the residuals to be as close to zero as possible?
The line of best fit will be the line which gives the least value of residual error. The residual error is reffered to as the difference between the line drawn and the individual data point plotted. These errors are squared and summed together, the line which produces the least residual error is Considered as the leading ne of best fit for the data.
We want the sum of our residual error to be as close to zero as possible, this is to reduce the deviation between our original or plotted data and the modeled data produced by our line of best fit.
Answer:
Step-by-step explanation:
We wan the residuals to be closest to zero because they will help use later in the equation.
294 blue balls,252 pink balls,and 210 yellow balls are distributed equally among some student with non left over .what is the biggest possible number of student
Answer:
42
Step-by-step explanation:
You have to find the greatest number that divide 294, 252 and 210, i.e., the greatest common factor.
Then, you need to factor each number and calculate the product of the common factors raised to the lowest exponent.
294 = 2*3*7^2
252 = 2^2 * 3^2 * 7
210 = 2*3*5*7
Greatest common factor = 2*3*7 = 42
The biggest possible number of students to distribute the balls equally is 42
Expand (x+3)(2x-4)(x-6)
Answer:
The answer is
2x³ - 10x² - 24x + 72Step-by-step explanation:
(x+3)(2x-4)(x-6)
Expand
We have
(x + 3) ( 2x² - 12x - 4x + 24)
(x + 3)( 2x² - 16x + 24)
2x³ - 16x² + 24x + 6x² - 48x + 72
Simplify
Group like terms
2x³ - 16x² + 6x² + 24x - 48x + 72
We have the final answer as
2x³ - 10x² - 24x + 72Hope this helps you
Help!!!!! please!!!!!
Answer:
108cm[tex]^{3}[/tex] (B)
Step-by-step explanation:
Find the area of the triangle first.
6 * 4 = 24/2 = 12
Multiply by the width.
12 * 9 = 108
Hey there! :)
Answer:
B. V = 108 cm³.
Step-by-step explanation:
Find the volume of the triangular prism using the formula:
V = 1/2(bh) where b = l × w
Solve for the base:
b = 4 × 9
b = 36 cm²
Plug this into the formula for the volume:
V = 1/2(36 · 6)
V = 1/2(216)
V = 108 cm³. The correct answer is B.
it's 11 that grade, please help me I'm stuck
Answer:
Limit [tex]$\lim_{x \to 0} f(x)$[/tex] does not exist.
Step-by-step explanation:
To calculate left hand limit, we use a value slightly lesser than that of 0.
To calculate right hand limit, we use a value slightly greater than that of 0.
Let h be a very small value.
Left hand limit will be calculate at 0-h
Right hand limit will be calculate at 0+h
First of all, let us have a look at the value of f(0-h) and f(0+h)
[tex]f(0-h)=f(-h) = \dfrac{-h}{|-h|}\\\Rightarrow \dfrac{-h}{h} = -1[/tex]
[tex]f(0-h)=-1 ....... (1)[/tex]
[tex]f(0+h)=f(h) = \dfrac{h}{|h|}\\\Rightarrow \dfrac{h}{h} = 1[/tex]
[tex]f(0+h)=1 ....... (2)[/tex]
Now, left hand limit:
[tex]$\lim_{x \to 0^{-} } f(x)$\\[/tex] = [tex]$\lim_{h \to 0} f(0-h)$[/tex]
[tex]\Rightarrow[/tex] [tex]$\lim_{h \to 0} f(-h)$[/tex]
Using equation (1):
[tex]$\lim_{x \to 0^{-} } f(x)$\\[/tex] = -1
Now, Right hand limit:
[tex]$\lim_{x \to 0^{+} } f(x)$\\[/tex] = [tex]$\lim_{h \to 0} f(0+h)$[/tex]
[tex]\Rightarrow[/tex] [tex]$\lim_{h \to 0} f(h)$[/tex]
Using equation (2):
[tex]$\lim_{x \to 0^{-} } f(x)$\\[/tex] = 1
Since Left Hand Limit [tex]\neq[/tex] Right Hand Limit
So, the answer is:
Limit [tex]$\lim_{x \to 0} f(x)$[/tex] does not exist.
What single transformation maps ∆ABC onto ∆A'B'C'? A. rotation 90° clockwise about the origin B. rotation 90° counterclockwise about the origin C. reflection across the x-axis D. reflection across the line y = x
Answer:
B. rotation 90° counterclockwise about the origin.
Step-by-step explanation:
Transformation is the process by which the size or orientation of a given figure is altered without any effect on its shape. Examples are; rotation, reflection, translation and dilation.
Rotation is the process of turning a figure about a reference point called the origin. While reflection is turning a figure about a line to produce its image.
In the given question, ∆ABC is mapped onto ∆A'B'C' by rotating it at 90° counterclockwise about the origin.
The correct option is (B). rotation 90°counterclockwise about the origin.
Given, ∆ABC and ∆A'B'C' are shown in attached figure.
We have to map ∆ABC onto ∆A'B'C',.
A transformation is a general term for four specific ways to manipulate the shape and or position of a point, a line, or geometric figure.
Transformation is also the process by which the size or orientation of a given figure is altered without any effect on its shape.
A rotation is a transformation in which the object is rotated about a fixed point.The direction of rotation can be clockwise or anticlockwise.
It is clear from the fig that the ∆ABC can be mapped over ∆A'B'C' by the rotation of 90°counterclockwise about the origin.
Hence the correct option is (B). rotation 90°counterclockwise about the origin.
For more details follow the link:
https://brainly.com/question/1571997
If f(x) equals 5X +40, what is F of X when X equals -5
Answer:
15
Step-by-step explanation:
f(x) = 5x + 40
Put x as -5.
f(-5) = 5(-5) + 40
f(-5) = -25 + 40
f(-5) = 15
Answer:
15
Step-by-step explanation:
We already know that [tex]f(x)=5x+40[/tex]. To find [tex]f(x)[/tex] when [tex]x=-5[/tex], we simply need to plug -5 into the equation. Thus:
[tex]f(-5)=5(-5)+40=-25+40=15[/tex]
The answer is 15.
I need help fasttt please
Answer:
x≥5
Step-by-step explanation:
The function f(x)=2*sqrt(x-5) is transformed from the parent function f(x)=sqrt(x) by:
vertically stretched by a factor of 2
right 5 units
a parent rational equation has a domain of [0,+∞)
this certain equation is moved 5 units to the right, so the domain is:
[0+5,+∞)⇒[5,+∞)
So the domain of f(x)=2*sqrt(x-5) is [5,+∞)
which as an inequality is x≥5
Factor the expression completely.
4n2 + 28n +49
. (2n + 7) (2n +7)
(2n + 7) (2n - 7)
(2n – 7)
4n (n + 7) + 49
NEXT QUESTION
ASK FOR HELP
Answer:
(2n + 7) (2n +7)
Step-by-step explanation:
To solve this problem we need to factorize 4n^2 + 28n +49 as shown below
[tex]4n^2 + 28n +49\\=>4n^2 + 14n + 14n +49\\=>2n(2n + 7) + 7(2n +7)\\=> (2n + 7) (2n +7)[/tex]
thus, after factorization we see that first option is correct one
(2n + 7) (2n +7)
we can validate this by expanding it
2n (2n +7) + 7 (2n+7)\
=> 4n^2 + 14n + 14n + 49 = 4n^2 + 28n +49 (which is equal to the problem stated expression)
please read the question and help me out
Which of the following ordered pairs is a solution of the given system of
linear equations?
(4x + 8y = 8
x + 3y = 13
Answer:
x=-14 and y = 9
Step-by-step explanation:
hello
4x + 8y = 8 <=> divide by 4 both parts
(1) x + 2y = 4
(2) x + 3y = 13
(2) - (1) gives
x + 3y -x - 2y = 13 - 4 = 9
<=> y = 9
we replace in (1) x + 2*9 = 4
<=> x = 4 - 18 = -14
so x = -14
hope this helps
In the figure below, XZ =DF and _X = D.
JA
X
F
Which additional information would be enough to prove
that AXYZ ADEF?
1.XY =YZ
2.YZ = ED
3.YZ DE
4:XY = DE
Answer:
Option (4)
Step-by-step explanation:
Given : XZ ≅ DF and ∠X ≅ ∠D
To prove : ΔXYZ ≅ ΔDEF
Statements Reasons
1). XZ ≅ DF 1). Given
2). ∠X ≅ ∠ D 2). Given
3). XY ≅ DE 3). Required information
4). ΔXYZ ≅ ΔDEF 4). By SAS property of congruence
Therefore, Option (4) will be the answer.
Question 26: write the equation that describes the line with slope=5 and y-intercept =8 in slope intercept form.example: y=mx+b
Answer:
y = 5x + 8
Step-by-step explanation:
Start with y = mx + b: general slope-intercept form, equation of a line:
Replace m with 5, y with 8 and x with 0 (since the y-intercept is (0, 8):
8 = 5(0) + b. Then b must be 8, and the desired equation is
y = 5x + 8
which two points have an undefined slope
Answer:
C
Step-by-step explanation:
The set of points with the same x has an undefined slope
Answer:
C. (-3, -3) and (-3, 3)
Step-by-step explanation:
(-1, 1) and (1, -1)
Slope = (-1-1) / (1 - (-1))
= -2 / 2 = -1.
(-1,2) and (2,2)
Slope = ( 2-2)/ ( 2 - -2)
= 0
(-3, -3) and (-3, 3)
Slope = (3 - -3) / (-3 - (-3)
= 6 / (-3+3)
= 6/0 - UNDEFINED.
The line joining these points is vertical.
help plzzzSolution set of 25x2 – 1 = 0 is ____________.
Answer:
x = 1/5 , and x = - 1/5
Step-by-step explanation:
25x² – 1 = 0
5²x² - 1² = 0
(5x - 1)(5x + 1) = 0
5x -1 = 0, 5x + 1 = 0
x = 1/5 , x = - 1/5
Fred can mow a lawn in 60 minutes. rocky can mow the same lawn in 40 minutes. how long does it take for both fred and rocky to mow the lawn if they are working together? express your answer as a reduced fraction.
Answer:
24 minutes
Step-by-step explanation:
Fred can mow a lawn in 60 minutes.
Fred's Rate [tex]=\frac{1}{60}[/tex]
Rocky can mow the same lawn in 40 minutes.
Rocky's rate [tex]=\frac{1}{40}[/tex]
Let the time it will take both of them = x minutes
Therefore:
[tex]\frac{1}{60}+\frac{1}{40}=\frac{1}{x}\\$Multiply all through by 1200$\\1200\times \frac{1}{60}+1200\times\frac{1}{40}=1200\times\frac{1}{x}\\20+30=\frac{1200}{x}\\50=\frac{1200}{x}\\$Cross multiply\\50x=1200\\Divide both sides by 50\\x=24\\[/tex]
It would take the two of them 24 minutes to mow the lawn.