Answer:
As this is incomplete, it lacks the value of actual error.
Here, we do not know the actual value. so let's assume it is 1 inch
Relative Error = 6.25 % ≈ 6.3% = D
Step-by-step explanation:
As this is incomplete, it lacks the value of actual error.
We are asked to calculate the relative of the measurement.
Relative error formula = Actual error/Measurement x 100
Here, we do not know the actual value. so let's assume it is 1 inch
Actual value = 1 inch
Measurement = 16 inch
Relative Error = 1/16 x 100
Relative Error = 6.25 % ≈ 6.3% = D
D. 6.3%
Using the formula A = 6s2, solve when s = 2?
Answer:
When s=2, A=24
Step-by-step explanation:
We are given the formula [tex]A = 6s^2[/tex]
We need to solve and find value of A , when s=2
So, putting value of s in the given formula we can find value of A
The formula given is:
[tex]A=6s^2\\Put\:s=2\\A=6(2)^2\\A=6(4)\\A=24[/tex]
So, by putting s= 2, We get A=24
One of the vertices of △PQR is P(2, −1). The midpoint of PQ is M(3, 0). The midpoint of QR is N(5, 3). Show that MN || PR and MN = 1/2 PR.
The coordinates of Q are:
The coordinates of R are:
The slope of MN is:
The slope of PR is:
The line segments are (select)
MN =
PR =
Answer:
See the proof below
Step-by-step explanation:
Given the following coordinates
P(2, −1)
Midpoint of PQ M(3, 0)
We can get the coordinate point Q using the midpoint formula;
M(X,Y) = (x1+x2/2, y1+y2/2)
X = x1+x2/2
3 = 2+x2/2
6 = 2+x2
x2 = 6-2
x2 = 4
Y = y1+y2/2
0 = -1+y2/2
0 = -1 + y2
y2 = 0+1
y2 = 1
Hence the coordinate of Q is (4, 1)
Next is to get the coordinate of R
Given the midpoint of QR to be N(5, 3)
(5,3) = (4+x2/2, 1+y2/2)
5 = 4+x2/2
10 = 4+x2
x2 = 10-4
x2 = 6
1+y2/2 = 3
1+y2 = 6
y2 = 6-1
y2 = 5
Hence the coordinate of R is (6,5)
Given the coordinates M(3, 0) and N(5, 3)
Slope is expressed as:
m = y2-y1/x2-x1
m = 3-0/5-3
m = 3/2
Slope of MN = 3/2
Get the slope of PR
Given the coordinates P(2, −1) and R (6,5)
Slope of PR = 5-(-1)/6-2
Slope of PR = 5+1/4
Slope of PR = 6/4 = 3/2
Since the slope of MN is equal to that of PR, hence MN is parallel to PR i.e MN || PR
To show that MN = 1/2PR, we will have to take the distance between M and N and also P and R first as shown:
For MN with coordinates M(3, 0) and N(5, 3)
MN = √(x2-x1)²+(y2-y1)²
MN = √(5-3)²+(3-0)²
MN = √2²+3²
MN = √13
Get the length of PR where P(2, −1) and R (6,5)
PR = √(6-2)²+(5+1)²
PR = √4²+6²
PR = √16+36
PR = √52
PR = √4*13
PR = √4*√13
PR = 2√13
Since MN = √13
PR = 2MN
Divide both sides by 2
PR/2 = 2MN/2
PR/2 = MN
Hence MN = 1/2 PR (Proved!)
turn -2x+4y=0 into slope-intercept form
help due in 5 min!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!will mark brainliest if correct!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
what do u need help with
Step-by-step explanation:
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Write an exponential function for each set of points.
(0 , 1024), (1,256), (2,64). (3 , 16) and (4 ,4)
Answer:
[tex]f(x)=(\frac{1}{4})^{x-b}[/tex]
Step-by-step explanation:
We are given that
(0,1024),(1,256),(2,64),(3,16)and(4,4)
From given data we assume an exponential function
[tex]f(x)=a^{b+x}[/tex]
where b and a are constant
[tex]f(0)=1024[/tex]
[tex]1024=a^b[/tex]...(1)
[tex]f(1)=256[/tex]
[tex]256=a^{b+1}[/tex]...(2)
Equation (1) divided by equation (2)
Then, we get
[tex]\frac{1024}{256}=\frac{a^{b}}{a^{b+1}}[/tex]
[tex]4=a^{-1}[/tex]
[tex]a=\frac{1}{4}[/tex]
Using the the value of a in equation (1)
[tex]1024=(\frac{1}{4})^{b}[/tex]
[tex]4^{5}=4^{-b}[/tex]
[tex]-b=5[/tex]
[tex]b=-5[/tex]
Therefore, the exponential function
[tex]f(x)=(\frac{1}{4})^{x-b}[/tex]
Reflect (-3, -3) over the y-axis.
Then translate the result to the left 2 units.
What are the coordinates of the final point?
Answer: (1,-3)
Step-by-step explanation:
The volume of a right rectangle prism is found by multiplying the length of the base by the width of the base by the height of the prism. A right rectangular prism has a volume of 50 cubic inches. If the height of the prism is 4 inches, what is the area of the base of the prism?
9514 1404 393
Answer:
12.5 square inches
Step-by-step explanation:
The area of the base can be written as ...
B = LW
Then the volume formula ...
V = LWH
can be written in terms of the base area as ...
V = BH
The base area can be found by dividing by the height:
B = V/H = (50 in³)/(4 in) = 12.5 in²
The area of the base is 12.5 square inches.
The sand pit for the long jump has a width of 3.65 meters and a length of 9.5 meters. The cheerleaders want to cover the pit with a sign cheering on their team. How many square meters of paper will the cheerleaders need to cover the sand pit?
Answer:
34.675 square meters of paper
Step-by-step explanation:
multiply 3.65 by 9.5 to get the area or square meters
Several members of a running club would like to survey the rest of the members to determine which 5K races the club should enter. They decide to use a random number table to sample 10 of the 78 members. Which of the following correctly labels the population?
A.) 0–78
B.) 1–78
C.) 00–78
D.) 01–78
Answer:
D
Step-by-step explanation: edge 2021
To ensure that the mass of an average grain of rock salt stays the same, what should you multiply the first factor 1.2 by so that 10 negative 2 becomes 10 negative 4
Answer:
Step-by-step explanation:
[tex]1.2 X 100=120.\\[/tex]
Answer:
The mass of an average grain of rock salt is 1.2 x 10^-2. In part A, you multiplied 10^-2 by 10^-2 to get 10^-4. So, multiply the first factor, 1.2 , by 10^2, or 100.
The first factor will then be 1.2 x 100 = 120.
Step-by-step explanation:
Edmentum answer
The waiting time for a bus has a uniform distribution between 2 and 13 minutes. What is the probability that the waiting time for this bus is less than 4.5 minutes on a given day
Answer: 0.2273
Step-by-step explanation:
Probability density function for uniform distribution is given by :-
[tex]f(x)=\dfrac{1}{b-a}[/tex], where x is uniformly distributed in [a,b].
Let x denotes the waiting time for this bus.
Given : The waiting time for a bus has a uniform distribution between 2 and 13 minutes.
Probability distribution function of x for interval [2,13] will be :-
[tex]f(x)=\dfrac1{13-2}=\dfrac{1}{11}[/tex]
Required probability : P(x<4.5) = [tex]\int^{4.5}_{2}f(x)\ dx[/tex]
[tex]=\int^{4.5}_{2}\dfrac1{11}\ dx\\\\=\dfrac1{11}[x]^{4.5}_{2}\\\\ = \dfrac1{11}(4.5-2)\\\\=\dfrac1{11}(2.5)\approx0.2273[/tex]
Hence, the probability that the waiting time for this bus is less than 4.5 minutes on a given day = 0.2273
Fernando borrowed $38 to go to the country fair. He won $42 at the horse races, and then spent $12 trying to win a large stuffed animal. What is his financial situation now??
$68
Add 38 with 42 then subtract by 12 to find the total sum.
$38+$42=$80
$80-12=$68
Total: $68.
Determine the measure of ∠Q, rounded to the nearest tenth of a degree.
Question 9 options:
A)
22.8°
B)
73.5°
C)
36.1°
D)
66.0°
In the given triangle the measure of ∠Q is (B) 73.5°.
What is a triangle?A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.So, let's use the Sine rule in the calculation as follows:
q/sin q = r/sin r15/sin q = 12/sin 50.1 (Cross multiply)12 × sin q = 15 × sin 50.1 (divide both sides by 12)sin q = 15 sin 50.1/12q = sin⁻¹(15 sin 50.1/12) ≈ 73.5° (Rounded off)Therefore, in the given triangle the measure of ∠Q is (B) 73.5°.
Know more about triangles here:
https://brainly.com/question/28889256
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Solve the inequality
8(x/4 - 6) >_ 4
Answer:
D. x[tex]\geq[/tex]26
Step-by-step explanation:
Its x >_ 26
______________
If point A is located at -8 on a number line and point B is located at 3 what is the distance between the two points?
Answer:
5
Step-by-step explanation:
you just have to subtract 3 by 8 and then you get 5
Answer:
11
Step-by-step explanation:
You are finding the space between them so we are going to make them absolute values and then add them:
|-8| + |3| = 8+3 = 11
students in the third grade class at lowell elementary school Were asked which breakfast they like best from the three choices shown in the bar graph how many more students choose eggs or fruit combined and cereal
Answer:
my guess would be 150 or 20 or 30 plz forgive me if im wrong i tryd
The function f(x) is a cubic function and the zeros of f(x) are -6, -3 and 1. The
y-intercept of f(x) is 90. Write the equation of the cubic polynomial in standard
form.
Answer:
[tex]P(x)=-5x^3-40x^2-45x+90[/tex]
Step-by-step explanation:
Equation of a Polynomial
Given the roots x1, x2, and x3 of a cubic polynomial, the equation can be written as:
[tex]P(x)=a(x-x1)(x-x2)(x-x3)[/tex]
Where a is the leading coefficient.
We know the three roots of the polynomial -6, -3, and 1, thus:
[tex]P(x)=a(x+6)(x+3)(x-1)[/tex]
Since the y-intercept of the polynomial is y=90 when x=0:
90=a(0+6)(0+3)(0-1)
90=a(6)(3)(-1)=-18a
Thus
a = 90/(-18) = -5
The polynomial is:
[tex]P(x)=-5(x+6)(x+3)(x-1)[/tex]
We must write it in standard form, so we have to multiply all of the factors as follows:
[tex]P(x)=-5(x^2+6x+3x+18)(x-1)[/tex]
[tex]P(x)=-5(x^2+9x+18)(x-1)[/tex]
[tex]P(x)=-5(x^3-x^2+9x^2-9x+18x-18)[/tex]
[tex]P(x)=-5(x^3+8x^2+9x-18)[/tex]
[tex]\boxed{P(x)=-5x^3-40x^2-45x+90}[/tex]
Find the value of f(x) = -3x +2
When x=2
Answer:
it is -4
Step-by-step explanation:
-3 * 2 = -6 + 2 = -4
Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes
Answer:
6936 pints and 1156 cups
Step-by-step explanation:
Answer:
7514 pints
Step-by-step explanation:
i rechecked and this was correct?
Which of the following rational numbers is equal to that? please help quickly
Answer:
31/9. you have to count by nines, get three whole numbers which are not fractions, and you are left with 4. and a whole 3 plus 0.4 = 3.4 hope that helps homie
A company wants to test clear deck sealants for weather resistance. Three brands of sealants will be tested using 60 pieces of decking wood. The company wants to create treatment groups of 20 pieces of wood each, and decide to randomize using slips of paper. Select all the approaches that would result in comparable treatment groups. The numbers 1, 2, and 3 are each written on 20 slips of paper, and the slips are placed in a hat and shaken well. The top piece of wood from a stack is selected and a slip of paper is drawn from the hat. That piece of wood is assigned to the group number on the slip. The slip of paper is returned to the hat. This continues until all pieces of wood have been assigned to a group. The numbers 1, 2, and 3 are written on three slips of paper, put into a hat, and shaken well. A slip is drawn and the first 20 pieces of wood on the stack are assigned to the group number on the slip. Another slip is drawn and the next 20 pieces of wood are assigned to that group. The remaining pieces of wood are assigned to the remaining group. Each piece of decking wood is assigned a number from 1 to 60. The numbers 1–60 are written on slips of paper and placed in a hat and shaken well. Twenty slips are drawn, shaking the hat after each slip of paper is drawn, and the pieces of wood corresponding to those numbers are placed in group 1. Twenty more slips are drawn in the same way, and the pieces of wood corresponding to those numbers are placed in group 2. The pieces of wood corresponding to the numbers on the remaining slips are placed in group 3. The numbers 1, 2, and 3 are each written on 20 slips of paper (20 for each number) and the slips are placed in a hat and shaken well. The top piece of wood from a stack is selected, and a slip of paper is drawn from the hat. That piece of wood is assigned to the group number on the slip. The slip of paper is not returned to the hat. This continues until all pieces of wood have been assigned to a group.
Answer:
The Answer is C and D
Step-by-step explanation:
Just did it
A composite shape is shown
To the nearest hundredth, what is the area of the shape? Use 3.14 as an approximation for ñ. Enter the answer in the box
Answer:
SOMEONE ANSWER THIS PLS
Step-by-step explanation:
Answer:
Somebody answer this please!!!
Step-by-step explanation:
A mother otter spends 1/3 of each day feeding her baby. How many hours does the mother otter spend feeding her baby in 1 week?
Find the value of x for the right triangle.
Answer:
x= 4.5
Step-by-step explanation:
Please see the attached picture for the full solution.
Solve the following equation for X. X=
-2x – 3.2 – 15 = 20
Answer:
x = -7
Step-by-step explanation:
-2x - 3x = -5x
so then its -5x - 15
you then add 15 to both sides which gives you -5x = 35
divide -5 from each side to get the answer
-7 = x
Step-by-step explanation:
-2x - 3x -15 = 20
-5x = 20 + 15
-5x = 35
x = 35/-5
x = -7
Helpppppppppppppppp please
A rectangular bathroom floor is covered with square tiles that are 1 LaTeX: \frac{1}{2}1 2 feet by 1 LaTeX: \frac{1}{2}1 2 feet. The length of the bathroom floor is 10 LaTeX: \frac{1}{2}1 2 feet and the width is 6 LaTeX: \frac{1}{2}1 2 feet. a) How many tiles does it take to cover the length of the floor?
Answer:
273 tiles
Step-by-step explanation:
Given
Square tile
[tex]Side=\frac{1}{2} ft[/tex]
Bathroom floor
[tex]Length = 10\frac{1}{2}ft[/tex]
[tex]Width = 6\frac{1}{2}ft[/tex]
Required
Determine the number of tiles to cover the floor
First, we calculate the area of the floor:
[tex]A_{floor} = Length * Width[/tex]
[tex]A_{floor} = 10\frac{1}{2} * 6\frac{1}{2}[/tex]
Convert to decimals
[tex]A_{floor} = 10.5 * 6.5[/tex]
[tex]A_{floor} = 68.25ft^2[/tex]
Next, we calculate the area of the square tile:
[tex]A_{tile} = Side * Side[/tex]
[tex]A_{tile} = \frac{1}{2} * \frac{1}{2}[/tex]
Convert to decimal
[tex]A_{tile} = 0.5 * 0.5[/tex]
[tex]A_{tile} = 0.25ft^2[/tex]
The number of tiles is then calculated as:
[tex]Tiles = \frac{A_{floor}}{A_{tile}}[/tex]
[tex]Tiles = \frac{68.25ft^2}{0.25ft^2}[/tex]
[tex]Tiles = \frac{68.25}{0.25}[/tex]
[tex]Tiles = 273[/tex]
y is inversely proportional to x. What are the values of a and b?
Answer:
HEY CAN YOU HELP ME PLEASE WITH MY MATH YOU just did iv got a couple more please
Step-by-step explanation:HEY CAN YOU HELP ME PLEASE WITH MY MATH YOU just did iv got a couple more please
how to calculate area when you are given volume of 182m3 and height of 2.8m
Hey there!
We simply have to do 182/2.8, and you will get the area (65m^2).
We know that the formula for area is length x width, and the formula for volume is length x width x height. In the volume formula, we can see it can also be area x height to get volume. So, we know that area x height = volume, right? And in this equation, we are given volume and height. If V = ha, with V = volume; h = height; a = area, we can divide "h" on both sides, and we get V/h = a, or volume divided by height is area. To solve for the above equation, we can plug the numbers in the formula: 182/2.8 = a, or 65 = a.
Hope this helps! Have an amazing day, and remember, you've got this!
What is an angle complimentary of 3?
Answer:
∠2
Step-by-step explanation:
∠2 + ∠3 = 90°
complimentary angles add up to 90°