PLEASE HELP!!!
Which equation could be the last step in finding the distance from point A to point B?
1) 2+2=4
2) 5-1=4
3) 2-1=1
4) 5+1=6
Answers
Answer:
The correct answer is 1) 2+2=4.
Step-by-step explanation:
Answer:
1 :)
Step-by-step explanation:
Related Questions
Find the amount in an account where $500 in invested at 2.5% compounded quarterly for a period of 10 years.
Answers
Answer: $641.51
Step-by-step explanation:
A = p (1+ r/n)^nt
A = 500 (1 + 0.025/4)^4*10
A = 641.51
The amount in an account where $500 in invested at 2.5% is $641.51.
Using this formula
A = p (1+ r/n)^nt
Where:
A=Amount
P= Principal=$500
R=Rate=2.5% or 0.025
n=4 (Quarterly)
T=Time=10 years
Let pug in the formula
A = $500(1 + 0.025/4)^4×10
A=$500(1.28302)
A =$641.51
Inconclusion the amount in an account where $500 in invested at 2.5% is $641.51.
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A coordinate grid with a line labeled negative 3 x plus StartFraction one-half EndFraction y equals negative 3 and passes through the points (1, 0) and (0, negative 6).
What value of b will cause the system to have an infinite number of solutions?
y = 6x – b
–3x + StartFraction one-half EndFractiony = –3
b =
2
4
6
8
Answers
Answer: C
Step-by-step explanation:
Given that the line -3x + y/2 = -3 passes through the points (1, 0) and (0, -6).
First rearrange the equation
-3x + y/2 = -3
Y = 2( 3x - 3 )
Y = 6x - 6 ..... (1)
Also, the slope of points (1, 0) and (0, -6). Will be
M = ( -6 - 0 )/( 0 - 1 )
M = -6/-1
M = 6
Using general linear equation
Y = MX + C
Let Y = 0 and X = 1
0 = 6(1) + C
C = -6
Substitutes C back into the equation
Y = 6x - 6 ...... (2)
The value of b that will cause the system to have infinitely many number of solutions is 6
Answer:
6
Step-by-step explanation:
Arm Span(x) Height(y)
(58, 60)
(49, 47)
(51, 55)
(19, 25)
(37, 39)
(44, 45)
(47, 49)
(36, 35)
(41, 40)
(46, 50)
(58, 61)
(67, 63)
1. Representation of Data with Plots Using graphing software of your choice, create a scatter plot of your data. Predict the line of best fit, and sketch it on your graph. Copy and paste your scatter plot into a word processing document.
2. The Line of Best Fit Include your scatter plot and the answers to the following questions in your word processing document:
Which variable did you plot on the x-axis, and which variable did you plot on the y-axis? Explain why you assigned the variables in that way.
Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.
What does the slope of the line represent within the context of your graph? What does the y-intercept represent?
Test the residuals of two other points to determine how well the line of best fit models the data. Use the line of best fit to help you to describe the data correlation.
Using the line of best fit that you found in 2, approximate how tall is a person whose arm span is 66 inches?
According to your line of best fit, what is the arm span of a 74-inch-tall person?
Answers
Answer:
Here's what I get.
Step-by-step explanation:
1. Representation of data
I used Excel to create a scatterplot of the data, draw the line of best fit, and print the regression equation.
2. Line of best fit
(a) Variables
I chose arm span as the dependent variable (y-axis) and height as the independent variable (x-axis).
It seems to me that arm span depends on your height rather than the other way around.
(b) Regression equation
The calculation is easy but tedious, so I asked Excel to do it.
For the equation y = ax + b, the formulas are
[tex]a = \dfrac{\sum y \sum x^{2} - \sum x \sumxy}{n\sum x^{2}- \left (\sum x\right )^{2}}\\\\b = \dfrac{n\sumx y - \sum x \sumxy}{n\sum x^{2}- \left (\sum x\right )^{2}}[/tex]
This gave the regression equation:
y = 1.0595x - 4.1524
(c) Interpretation
The line shows how arm span depends on height.
The slope of the line says that arm span increases about 6 % faster than height.
The y-intercept is -4. If your height is zero, your arm length is -4 in (both are impossible).
(d) Residuals
[tex]\begin{array}{cccr}&\textbf{Arm Span} & \textbf{Arm Span}&\\\textbf{Height/in} &\textbf{Actual} & \textbf{Predicted}&\textbf{Residual}\\25 & 19 & 22.3 & -3.3\\40 & 41 & 38.2 & 2.8\\55 & 51 & 54.1 & -3.1\\65 & 67 & 62.6 & 4.4\\ \end{array}[/tex]
The residuals appear to be evenly distributed above and below the predicted values.
A graph of all the residuals confirms this observation.
The equation usually predicts arm span to within 4 in.
(e) Predictions
(i) Height of person with 66 in arm span
[tex]\begin{array}{rcl}y& = & 1.0595x - 4.1524\\66 & = & 1.0595x - 4.1524\\70.1524 & = & 1.0595x\\x & = & \dfrac{70.1524}{1.0595}\\\\& = & \textbf{66 in}\\\end{array}\\\text{A person with an arm span of 66 in should have a height of about $\large \boxed{\textbf{66 in}}$}[/tex]
(ii) Arm span of 74 in tall person
[tex]\begin{array}{rcl}y& = & 1.0595x - 4.1524\\& = & 1.0595\times74 - 4.1524\\& = & 78.4030 - 4.1524\\& = & \textbf{74 in}\\\end{array}\\\text{ A person who is 74 in tall should have an arm span of $\large \boxed{\textbf{74 in}}$}[/tex]
Katy tried to solve an equation step by step. \begin{aligned} r-3&=14.3\\\\ r-3+3&=14.3-3&\green{\text{Step } 1}\\\\ r&=11.3&\blue{\text{Step } 2} \end{aligned} r−3 r−3+3 r =14.3 =14.3−3 =11.3 Step 1 Step 2 Find Katy's mistake. Choose 1 answer: Choose 1 answer:
Answers
Answer: step 1
Step-by-step explanation:
Katy's mistake was done in the first step of the solution.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is r-3=14.3
The given steps done by Katy are
Step 1: r-3+3=14.3-3
step 2: r=11.3
Katy made a mistake in step 1.
Katy must add 3 on both sides to solve the equation
r-3+3=14.3+3
r=17.3
In the first step katy done the mistake so in the second step she got the answer related to the first step.
Hence, Katy's mistake was in first step.
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Convert these unlike fractions to equivalent like fractions and add them. You must use the LCD to get the answer correct. If possible, reduce the final sum. 1/5= 2/3= 1/5 + 2/3=
Answers
Answer:
13/15
Step-by-step explanation:
1/5 + 2/3 = x
(1 · 3)/(5 · 3) + (2 · 5)/(3 · 5) = x
3/15 + 10/15 = 13/15 (can't reduce any further)
Find the volume of a pyramid with a square base, where the area of the base is
14.1 in' and the height of the pyramid is 11.1 in. Round your answer to the nearest
tenth of a cubic inch.
Answers
I think its 57.17 or about 52.2cubic inch
Represent the number of feet in y yards, f feet
and i inches.
Answers
Answer: there a 3 feet to a yard a 36 inches to a yard( 12 inches to a foot) 1/3 of a yard is a foot hope this helps
Step-by-step explanation:
Use the tables below to find (p - 9)(2).
Answers
Answer:
5
Step-by-step explanation:
p(2) - q(2)
3 - (-2)
3 + 2
= 5
Line l has a slope of...
Answers
Hey there! :)
Answer:
Option C.
Step-by-step explanation:
A perpendicular line to 2/3 will be the reciprocal and negative of this fraction. Therefore:
Slope of perpendicular line = -3/2.
Remember, the equation for solving for the slope is:
[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
We must find points that when plugged into this equation, equal to -3/2.
Plugging in the points in option A:
[tex]\frac{2}{3} \neq \frac{-3}{2}[/tex]
Option B:
[tex]\frac{3}{4} \neq \frac{-3}{2}[/tex]
Option C: This is the correct answer.
[tex]\frac{-3}{2} = \frac{-3}{2}[/tex]
Option D:
[tex]\frac{2}{10}\neq \frac{-3}{2}[/tex]
Select the function that represents a parabola with vertex at (2,1) and y-intercept (0,3).
Answers
I think its ƒ(x) = 1∕2(x – 2)2 + 1
The function that represents a parabola with vertex at (2,1) and y-intercept (0,3) is f(x) = - x² + 4x - 3.
What is general equations of parabola?
The general equation of a parabola is given by
⇒ y = a(x – h)² + k
A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line which is known as the directrix.
According to the question,
⇒ y = a(x – h)² + k
⇒ (h,k) = (2,1)
⇒ y = a(x – 2)² + 1
T find the value of a,
⇒ - 3 = 4a + 1
⇒ a =-1
⇒ y = -1(x – 2)² + 1
⇒ y = -(x² + 4 - 4x) + 1
⇒ y = -x² + 4x - 3
Hence the required function is y = -x² + 4x - 3.
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How do you know if x is on the rhs or the lhs?
Answers
Answer:
Step-by-step explanation:
RHS means on the right hand side
And LHS means on the left hand side
So if x is one the right side of the expression ,it is on the RHS and if it is on the left side of the expression , it is on the LHS
A point located at (6, 4) is reflected over the x-axis. What are the coordinates of the image?
(6,4)
(-6,-4)
(-6,4)
(-4, 6)
Answers
Answer:
(6,-4)
Step-by-step explanation:
Reflecting over the x axis means flipping the point or line over it. Therefore the point's y value would the opposite from the beginning.
Answer:
(6, -4)Step-by-step explanation:
For any point reflected over the x-axis, the x-coordinate stays the same and the y-coordinate becomes negative.
6 stays the same
4 becomes -4.
I'm always happy to help :)If the unicorn seat on a merry-go-round is 5 feet from the center, and the merry-go-round completes a full rotation in 6 seconds, how many
feet does the unicorn travel in one second?
OA feet
OB. radians
13.08 feet
D.
5.23 feet
Answers
Answer: 5.23 feet the unicorn goes around.
Please help with this
Answers
Answer:
5/2
Step-by-step explanation:
We take the ratio of a side of ABC over the same side on DEF
AB/ DE
35/14
Divide top and bottom by 7
5/2
Find the area of the shaded polygons:
Answers
Answer:
4 units squared and 6 units squared.
Hope this helps!
Answer:
4 sq units and 6 sq units
Step-by-step explanation:
Method:
count dots inside ...(a)
the ones on the border of the shape and divide by two ...(b)
(a)+(b)-1 = area
use that for green and yellow
Green:
(a): 0
(b): 10/2 = 5
0+5-1 = 4 sq units
Yellow:
(a): 3
(b): 8/2 = 4
3+4-1 = 6 sq units
I hope this helps, and plz mark me brainliest!!!!
please help I really need it
1. How much is it estimated that the United States population increased from July 1, 2000 to July 1, 2003? From July 1, 2003 to
July 1, 2007?
Answers
Answer:
2.92%
3.85%
Step-by-step explanation:
The population in 2000 is 282,194,308. The population in 2003 is 290,447,644. This is an increase of 8,253,336.
290,447,644 - 282,194,308 = 8,253,336
To find the percentage in increase, divide the difference by the original number and multiply by 100%. The population increased by 2.92%.
8,253,336/282,194,308 = 0.0292 × 100% = 2.92%
The population in 2003 is 290,447,644. The population in 2007 is 301,621,157. This is an increase of 11,173,513.
301,621,157 - 290,447,644 = 11,173,513
Divide the difference by the original number and multiply by 100%. The population increased by 3.85%.
11,173,513/290,447,644 = 0.0385 × 100% = 3.85%
Triangle △ABC has an altitude CD . Which of the three points, A, B, D are between the other two if angles A and B are both acute?
Answers
Out of the three points D is between the other two acute angles if A and B are both acute.
Hope this helps!
D is point lies between A and B.
Triangle △ABC has an altitude CD.
angles A and B are both acute.
Altitude is perpendicular bisector to side of triangle from opposite vertex of triangle.
Since △ABC
A and B are acute angles, and that altitude CD has one vertex at c and other is between A and B i.e. D
Thus, the required point of Altitude CD D lies between A and B.
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Lynn and Lienne tossed a coin 40 times and got heads 24 times. What is the experimental probability of tossing heads using Lynn and Lienne's results?
1/2
3/5
1/40
None of the choices are correct.
Answers
Answer:
it would be 3/5
an = -2 + 3/2 (n-1)
What is the 21st term of the sequence?
Answers
Answer:
[tex]a_{n} = -83/40[/tex]
Step-by-step explanation:
Given
[tex]a_{n} = -2 + 3/2 (n-1)[/tex]
In this problem to find 21st term we put 21 in place of n in the equation
[tex]a_{n} = -2 + 3/2 (21-1) = \\a_{n} = -2 + 3/2 (20)\\a_{n} = -2 + 3/40 = (-2*40 +3)/40 \\a_{n} = -83/40\\[/tex]
Thus, 21st term is -83/40.
jed needs to estimate the value of 4.32x10^-4
Answers
Answer:
0.000432
Step-by-step explanation:
Since we have a negative exponent 4 with a base of 10, we simply just move the decimal place 4 places to the left. When you do so, fill in your remaining zeros and you should get your answer.
Answer:
0.000432
Step-by-step explanation:
4.32ₓ10⁻⁴ =
= 4.32ₓ1/10000
= 4.32/10000
= 0.000432
Susan saw birds and mice eating seeds on the ground. She counted 14 heads and 40 legs in total. How many birds and mice are on the ground?
Answers
Answer:
8 birds and 6 mice
Step-by-step explanation:
Given:
Number of heads = 14
Number of legs = 40
Required
How many birds and mice are on the ground?
Let M represents Mice and B represents Birds
Birds and Mice have 1 head each;
So;
[tex]B + M = 14[/tex]
Birds have 2 legs; Mice have 4 legs
So;
[tex]2B + 4M = 40[/tex]
At this point, we have two equations;
Make B the subject of formula in the first equation
[tex]B + M = 14[/tex] becomes
[tex]B = 14 - M[/tex]
Substitute 14 - M for B in the second equation
[tex]2(14 - M) + 4M = 40[/tex]
Open bracket
[tex]28 - 2M + 4M = 40[/tex]
[tex]28 + 2M = 40[/tex]
Subtract 28 from both sides
[tex]28 - 28 + 2M = 40 - 28[/tex]
[tex]2M = 40 - 28[/tex]
[tex]2M = 12[/tex]
Divide both sides by 2
[tex]\frac{2M}{2} = \frac{12}{2}[/tex]
[tex]M = 6[/tex]
Recall that [tex]B = 14 - M[/tex]
So;
[tex]B = 14 - 6[/tex]
[tex]B = 8[/tex]
Hence, there are 8 birds and 6 mice
A) 136
B) 85
C)65
D)55
PLEASE ANSWER QUICK
Answers
Answer:
B
Step-by-step explanation:
If cote = and the terminal point determined by a is in quadrant 3, then:
A. tang = 1
O B. csco = -
Lolo
DC. sing -
ml
O D. Cose =
3
5
Answers
Answer:
The correct option is:
cosθ = -3/5
Step-by-step explanation:
We have been given that:
cotθ = 3/4
such that the terminal side of θ lies in III quadrant.
Consider it a right angled triangle.
We know that:
cotθ = Base / Perpendicular
Which means Base has a magnitude of 3 and Perpendicular has the magnitude of 4.
As It lies in III quadrant, both x and y are negative.
So
Base = -3
Perpendicular = -4
Find the hypotenuse by using Pythagoras Theorem
H² = (-3)² + (-4)²
H = 5
We know that:
cosθ = Base / Hypotenuse
cosθ = -3/5
Answer:
cos=-3/5 and tan=4/3
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST Simplify by removing parentheses and, if possible, combining like terms. 6m-2(-7m+3)
Answers
Answer:
20m-6
Step-by-step explanation:
[tex]6m-2(-7m+3)=\\6m+14m-6=\\20m-6[/tex]
Answer:
20m - 6
Step-by-step explanation:
6m - 2(-7m + 3)
Expand brackets.
6m + 14m - 6
Add like terms.
20m - 6
What is the explicit formula for this geometric sequence? 64, 16, 4, 1, ...
Answers
Answer:
C.
Step-by-step explanation:
Explicit Formula: an = a1(r)^(n-1)
Our r = 1/4 because to get 64 down to 16 you need to divide by 4 or multiply by 1/4
Our a1 is the 1st term of the sequence, which is 64.
Plug it in: an = 64(1/4)^(n-1)
So our only viable option is C.
Answer:
Option C
Step-by-step explanation:
=> [tex]a_{n} = a_{1} * r^{(n-1)[/tex]
Where a1 = 64, r = 1/4
So,
=> [tex]a_{n} = 64 * (\frac{1}{4}) ^{n-1}[/tex]
Simplify: x^2-4x-12/x^3-10x^2+24x
Answers
Answer:
(x + 2) / x(x - 4).
Step-by-step explanation:
x^2-4x-12/x^3-10x^2+24x
= (x + 2)(x - 6) / x(x^2 - 10x + 24)
= (x + 2)(x - 6) / x(x - 4)(x - 6) x -6 is common to top and bottom so:
= (x + 2) / x(x - 4).
Answer:
x+2/x(x+4) or x+2/x^2-4x
Step-by-step explanation:
from the numerator x^2-4x-12, factorise the numerator
x^2-4x-12
multiplying x^2 and -12=-12x^2
step2:
find two numbers that when multiplied you get -12x^2 and when added you get -12x^2.
This numbers are -6x and 2x.
Therefore,(x^2+2x)-(6x-12)
x(x+2)-6(x+2)
(x-6)(x+2)
Step3
from the denominator x^3-x^2+24x, factorise the denominator
x^3-x^2+24x
What is common to all the numbers, the number that is common is x
Therefore,x(x^2-x^2+24x).
multiplying x^2+24x=24x^2
step2:
find two numbers that when multiplied you get 24x^2 and when added you get 24x^2.
This two numbers are -6x and -4x.
Therefore,x{(x^2-4x)-(6x+24)}
x{x(x-4)-6(x-4)}
x{(x-4)(x-6)
Step4
Bringing the nunerator and denominator together.
(x-6)(x+2)/x{(x-4)(x-6)}
(x-6) divides each other
Therefore,x+2/x(x-4) or (x+2)/x^2-4x
HELPPPPP NEEDED FIRST GETS BRAINLLEST !!!! Kobe, Amari, and DJ raised $125.45 for their football team. Kobe collected $24.55 more than Amari, and DJ collected $15.60 less than Kobe. If x = the amount raised by Amari, choose the expressions that represent the amount each other player raised. x + 24.55 x + 8.95 2x – 15.60 3x + 24.55
Answers
Answer:
Kobe raised x + 24.55
Amari raised x
DJ raised 2x – 15.60
One x-intercept for a parabola is at the point
(-1,0). Use the quadratic formula to find the
other x-intercept for the parabola defined by
this equation:
y=-2x2 + x + 3
Separate the values with a comma. Round, if
necessary, to the nearest hundredth.
Answers
Answer:
(1.5,0) U (-1,0)
Step-by-step explanation:
Plug this in to your graphing calculator and find the roots! Those are your solutions! Or you can use the quadratic formula to solve for the x values.
Which system of equations is represented by the matrix below? plz help
Answers
Answer:
-4x = 7
3x+5y = -9
Step-by-step explanation:
This is an augmented matrix which means the solution to the equations are on the right hand side
-4x +0y = 7
3x+5y = -9
We can remove the 0 term
-4x = 7
3x+5y = -9
Which statements could he include in his explanation?
Select two options.
Keshawn is asked to compare and contrast the domain
and range for the two functions.
f(x) = 5x
g(x) = 5
The domain of both functions is all real numbers.
The domain of f(x) is x>5.
The domain of g(x) is x > 5.
The range of f(x) is y> 0.
The range of g(x) is y>0.
Answers
Answer:
Option 1: Domain of both functions are all real numbers.
Step-by-step explanation:
f(x) = 5x
Domain: All Real Numbers
Range: All Real Numbers
g(x) = 5
Domain: All Real Numbers
Range: y > 5
Answer: Option 1
Step-by-step explanation:
f(x) = 5x
Domain: All Real Numbers
Range: All Real Numbers
g(x) = 5
Domain: All Real Numbers
Range: y > 5