a. Since a line doesn't have endpoint, it doesn't matter which
two points we use to name a line so we could call this line DC.
b. A ray is a figure that starts at and endpoint and continues
forever in one single direction. So a ray here would be ray AB.
c. Opposite rays are two rays that share a common endpoint,
have no other points of intersection, and all points are collinear.
So ray EC and ray ED would be opposite rays.
A) Line names are made using two letters, since line CD passes through E, line CD could be renamed CE
B) a Ray has one end point and goes in one direction. If A is the endpoint, the line goes through point B
The Ray would be AB with an arrow pointing to the right above the letters.
C) Opposite rays create a straight line and have the same point.
Ray ED is opposite EC
What is the simplified form of the expression below? (6 + 7b) + 14
Answer: 20+7b
Step-by-step explanation:
Given
(6+7b)+14
Take off parentheses
=6+7b+14
Move like terms together (Commutative property)
=6+14+7b
Combine like terms
=20+7b
Hope this helps!! :)
Please let me know if you have any question
Answer:
[tex]\huge\boxed{ answer}[/tex]
[tex]\blue\star[/tex]6 + 7b + 14 = 0
[tex]\blue\star[/tex]7b + 20 = 0
[tex]\blue\star[/tex]7b = - 20
[tex]\blue\star[/tex]b = -20\7
[tex]\star[/tex]simplified form
[tex]\blue\star[/tex](6 + 7b) +14
firstly remove the brackets.
[tex]\blue\star[/tex]6 + 7b +14
seprate terms and variables
[tex]\blue\star[/tex] 7b +20
[tex]\huge\boxed{7b + 20}[/tex]
Hope it helps..
what is formula to calculate the area of circle
Step-by-step explanation:
Area of circle
[tex] = \pi {r}^{2} [/tex]
r = radius of the circle
Answer:
[tex]\pi[/tex]r²
Step-by-step explanation:
A=[tex]\pi[/tex]r²
Find the volume of the following solid figure. Use = 3.14.
V = 4/31r. A sphere has a radius of 4.5 inches.
Volume (to the nearest tenth) =
cubic inches
A. 56.5
B. 381.5
C. 84.8
Answer:
B. 381.5Step-by-step explanation:
[tex]r = 4.5\\\pi = 3.14\\\\V = ?\\\\Volume = \frac{4}{3} \pi r^3\\\\V= \frac{4}{3} \times 3.14 \times (4.5)^3\\\\V = \frac{4}{3} \times 286.1325\\\\V = \frac{1144.53}{3} \\\\V = 381.51\\\\Volume = 381.51 \: inches^3[/tex]
A snail travels 820 mm in 0.75 minutes. What was his speed in m/s?
Answer:
speed in m/s=0.01822 metre/s
Step-by-step explanation:
Conversation rate of mm to m is
1000 mm = 1 metre
820 mm= 820/1000
829 mm= 0.82 metres
Conversation rate of minutes to second
I minute = 60 seconds
0.75 minute = 60*0.75 seconds
0.75 minute= 45 seconds
speed in m/s= 0.82 metres/45 seconds
speed in m/s= 0.82/45
speed in m/s=0.01822 metre/s
What are integers between -8 and 2 not inclusive?? Please help me
All numbers between -8 and 2 are integers except 0
All the integers between - 8 and 2 are,
{- 7, - 6, - 5, - 4, - 3, - 2, - 1, 1 }.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The numbers is,
⇒ - 8 and 2
Now, All the numbers between - 8 and 2 are,
⇒ - 7, - 6, - 5, - 4, - 3, - 2, - 1, 1
Thus, All the integers between - 8 and 2 are,
{- 7, - 6, - 5, - 4, - 3, - 2, - 1, 1 }.
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An agribusiness performed a regression of wheat yield (bushels per acre) using observations on 26 test plots with four predictors (rainfall, fertilizer, soil acidity, hours of sun). The standard error was 1.29 bushels.
(a) Find the approximate width of a 95% prediction interval for wheat yield. (Round your answer to 2 decimal places.)
yˆi ±
(b) Find the approximate width using the quick rule. (Round your answer to 2 decimal places.)
yˆi ±
(c) The quick rule gives a similar result.
a. Yes
b. No
Answer:
A)y ± [tex]t_{21}[/tex] ( 1.29 )
B) y ± 2.58
C ) yes
Step-by-step explanation:
standard error = 1.29 bushels
approximate width of 95% prediction interval for an individual can be represented as ; [tex]y[/tex] ± [tex]t_{n-k-1}[/tex] ( SE )
[tex]t_{n-k-1} = critical value of t at n-k-1[/tex] degree of freedom
n = 26
k = 4
a) Approximate width of a 95% prediction interval for wheat yield
[tex]y[/tex] ± [tex]t_{n-k-1}[/tex] ( SE )
Insert the values into the equation
n - k -1 = 26 - 4 - 1 = 21
y ± [tex]t_{21}[/tex] ( 1.29 ) you can get the value of [tex]t_{21}[/tex] from the t table for 21 degrees at 0.05 significance level
B) The approximate width using the quick rule
y ± 2SE
y ± 2(1.29) = y ± 2.58
C) The quick rule gives a similar result = yes
Please help, I have no idea how to solve this. Can someone teach me how? 6a^2+4f-3 when a=2 and f=4
Answer:
157
Step-by-step explanation:
First, let's subsitute a and f.
6(2)^2 + 4(4) - 3
Remeber the order of operations. Paranthesis, exponents, multiply, divide, add, subtract.
12^2 + 16 - 3
144 + 16 - 3
157 is the answer. Hope this helps!!!!!!
Sonia is walking 2.5 miles home from school. She leaves at 4:00 P.M., and gets home at 4:45 P.M. Graph the line that represents Sonia’s distance from school at a given time. Find and interpret the slope of the line.
Answer:
M = 1/18
Step-by-step explanation:
The slope is 1/18 mi/min, which means Sonia walks at a rate of 1 mile every 18 minutes.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
Given that, Sonia is walking 2.5 miles home from school.
She left at 4:00 pm and got home at 4:45 pm. She took 45 minutes to get there.
We can interpret the information as two points, the first one is (0,0) that represents the starting point. The second point is (45, 2.5), which represents the ending point when she arrived home. Let's graph these points and draw a line through them.
To find the slope, divide 2.5 miles by 45 minutes,
Thus, slope =2.5/45
m= 1/18 miles per minute
Therefore, the slope is 1/18 mi/min, which means Sonia walks at a rate of 1 mile every 18 minutes.
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is the number 10,104 divisible by 4?
Step-by-step explanation:
A no. is divisible by four if the last two digits is a multiple of 4
04 is a multiple of four
The no. 10,104 is divisible by 4Point F bisects segment GH. Find GH if GF = 14 1/2 feet.
Answer:
Segment GH = 29 ft
Step-by-step explanation:
Point F bisects segment GH means that the segment GH is being divided into two by point F.
If GF = 14 1/2 feet
Since point F divides GH into two, multiplying GF by two will give segment GH
GH= 2GF
GH= 2(14 1/2
GH= 2(29/2)
GH= 29 ft
Segment GH = 29 ft
Write this number in standard form 70,000 + 5,000 + 20+3
Answer:
70,523
Step-by-step explanation:
This is standard form there no way to show.
Travis's income is $2300 a month, and he plans to budget 3/7 of his income for savings and 1/10 of his income for entertainment. What fraction of his income does he plan to spend each month on these two items together? Express your answer in lowest terms. Please explain how you did it
Step-by-step explanation:
2,300×3÷7=985.71 The amount of money saved
2300×1÷10=230the amount of entertainment
985.71+230=1215.71 total
1215.71÷2300=0.5285 Entertainment money + reserve money ÷ total money
The income that he plan to spend each month on these two items together is 0.5285.
What is a fraction?A fraction represents a part of a number or any number of equal parts.
Given; Travis's income is $2300 a month, and he plans to budget 3/7 of his income for savings and 1/10 of his income for entertainment.
We need to find the income that he plan to spend each month on these two items together.
The amount of money saved;
2,300×3÷7 = 985.71
The amount of entertainment;
2300×1÷10=230
The total 985.71 + 230 = 1215.71
Now, Entertainment money + reserve money ÷ total money
1215.71÷2300 = 0.5285
The income that he plan to spend each month on these two items together is 0.5285.
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Richard has 3 times as many music CDs as Benny does.
If Richard has y CDs, the number of CDs Benny has is given by the expression
. If Richard has 30 CDs, Benny has
CDs.
Answer:
y = 10 CDs
Step-by-step explanation:
30 divided by 3 equals 10
10 times 3 equals 30
Answer:
first blank is y/3
second blank is 10
Step-by-step explanation:
Translate the English phrase into an algebraic expression: the sum of 17y² and 19.
Answer:
17y^2+19
Step-by-step explanation:
sum means add
Answer:
19+ 17y²
Step-by-step explanation:
What is the area of this figure? 3 ft 15 ft 20 ft 17 ft 5 ft 20 ft square feet
Answer:
45
Step-by-step explanation:
What type of number is -44.1?
Answer:
-44.1 is a real and complex number
Step-by-step explanation:
point I is on line segment HJ. Given HJ=15 and IJ=10, determine the length HI
Answer:
Step-by-step explanation:
15 + 10 = 25
HI = 25
Answer: 5
Step-by-step explanation:
Brainliest!
Divide
18198
--------
27
A.518
B.608
C.674
D.689
Answer:C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
27)18198(674
162
-
--------
199
189
-
---------
108
108
-
------
0
------
A certain antihistamine is often prescribed for allergies. A typical dose for a 100-pound person is 19mg every six hours. Complete parts (a) and (b) below. Following this dosage, how many 13.2mg chewable tablets would be taken in a week? A 100-pound person could take ____ tablets in a week. (Round to the nearest whole number as needed.)
Answer:
40 tablets
Step-by-step explanation:
What we want to do is find how many mg of antihistamine you can take in a week.
If you can take 19mg in 6 hours, that means you can take [tex]19\cdot4=76[/tex]mg per day (because [tex]24\div6=4[/tex], so you can take 19mg every 6 hours 4 times in a day.)
There are 7 days in a week, so you can take [tex]76\cdot7=532[/tex] mg per week.
Now, we know how many mg of antihistamine you can take per week. If we take antihistamine in increments of 13.2mg, then the total amount of tablets we can take per week is going to be [tex]532\div13.2[/tex], which is approximately equal to 40.
So you can take 40 tablets in a week if you are 100 pounds.
Hope this helped!
Answer:
Step-by-step explanation:
b. A 100-pound person could take
enter your response here mL in a week.
(Round to the nearest whole number as needed.)
what are the orders pairs for this figure
I need this quick, anyone got the answer?
Answer:
C
Step-by-step explanation:
So we have a cylinder with a hole the shape of a rectangular prism through it.
Therefore, our total volume would be the cylinder minus the volume of the rectangular prism.
The volume of a cylinder is given by the formula:
[tex]V=\pi r^2h[/tex]
Use 3.14 for π, 10 for radius, and 15 for the height. Thus:
[tex]V=(3.14)(10)^2(15)\\V=4710[/tex]
So the volume of the cylinder is 4710 cubic feet.
Now, find the volume of the rectangular prism.
The formula for the volume of a rectangular prism is given by:
[tex]V=lwh[/tex]
The length is 5, width is 3, and height is 15. Thus:
[tex]V=(5)(3)(15)\\V=225[/tex]
So, the total volume is:
[tex]V_{\text{Total}}=V_{\text{Cylinder}}-V_{\text{Rectangle}}\\V_{\text{Total}}=4710-225=4485\text{ feet}^3[/tex]
Our answer is C
The midpoint of AB is M(4, -1). If the coordinates of A are (2,5), what are the
coordinates of B?
Answer:
(6, -7)
Step-by-step explanation:
(x, y)=(4, -1)
(x1+x2)/2=4
(y1+y2)/2=-1
-----------------
x1+x2=8
2+x2=8
x2=8-2=6
---------------
y1+y2=-2
5+y2=-2
y2=-7
---------------
(6, -7)
Find the opposite of the given number. -18.6
Answer:
18.6
Step-by-step explanation:
Answer:
opposite of -18.6=18.6
Help! Please what’s the answer
Answer:
837 sq. ft
Step-by-step explanation:
area of garden = area of rectangle + area of semicircle
area of rectangle = 20 X 34 = 680 sq. ft
area of semicircle = 1/2 X 3.14 X 100 = 157 sq.ft
area of garden = 837 sq. ft
i am 1 brainly away from virtuoso, your help would be appreciated
A right rectangular prism has a length of 10 centimeters, a width of 2.5 centimeters and a height of 0.9 centimeters what is the wolume of the rectangular prism?
Answer:
22.5 cm3
Step-by-step explanation: i took thy test
The volume of the rectangular prism is 22.5 cm³
What is a Rectangular Prism?A rectangular prism is a three-dimensional shape, that has six faces (two at the top and bottom and four are lateral faces). All the faces of the prism are rectangular in shape. Hence, there are three pairs of identical faces here. Due to its shape, a rectangular prism is also called a cuboid.
Given here A right rectangular prism has a length of 10 centimeters, a width of 2.5 centimeters and a height of 0.9 centimeters.
Now we know the volume of the rectangular prism is given by
The volume of a rectangular prism = Length x Width x Height cubic units.
∴ V= 10×2.5×0.9
= 22.5 cm³
Hence, the volume of the rectangular prism is 22.5 cm³
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write as an equation: 1/3 of a shipment of books weights 28 pounds
Answer:
x=28 (pounds) * 1/3
Step-by-step explanation:
28/3 gives you 1/3 of the shipment weight.
For the following right triangle, find the side length x.
х
24
Can anyone help me??Need help ASAP!
Answer:
25
Step-by-step explanation:
We can use the Pythagorean Theorem to find the value of x,
The Pythagorean Theorem states that [tex]a^2 + b^2=c^2[/tex], where a and b are the legs and c is the hypotenuse.
We already know a and b’s value so we can substitute inside the formula to find the length of the hypotenuse.
[tex]24^2+7^2=c^2\\\\576+49=c^2\\\\625=c^2\\\\c=25[/tex]
Hope this helped!
find the derivative of f(x)=x+1/x-1 using first principal
f ' ( x ) = 1 ( x + 1 ) 2
Explanation:
differentiating from first principles
f ' ( x ) = lim h → 0
f ( x + h ) − f ( x ) h
f ' ( x ) = lim h → 0
x + h x + h + 1 − x x + 1 h
the aim now is to eliminate h from the denominator
f ' ( x ) = lim h =0
( x + h ) ( x + 1 )− x ( x + h + 1) h ( x + 1 ) ( x + h + 1 )
f ' ( x ) = lim h → 0
x 2 + h x + x + h − x 2 − h x − x h ( x + 1 ) ( x+h + 1 )
f ' ( x ) = lim h → 0
h 1 h 1 ( x + 1 ) ( x + h +1 )
f ' ( x ) = 1 ( x + 1 ) 2
Find the value of X Need help ASAP.
1. 4 inside angles must sum to 360:
X = 360-45-65-95 = 155
2. All the outside angles must sum
To 360:
2x + 70+ 86 + 9 = 2x + 248
2x = 360-248
2x = 112
X = 112/2 = 56
3. Sum of interior angles for 6 sides figure = 720.
X = 720 - 90-120-130-140-150
X = 90
4. Exterior angles sum to 360
4x +x + 98 + 162 = 360
5x + 260 = 360
5x = 100
X = 100/5
X = 20
One environmental hazard recently identified is overexposure to airborne asbestos. In a sample of 10 public buildings over 20 years old, three were found to be insulated with materials that produced an excess number of airborne asbestos bodies. what is the approximate probability that another buitding of this rype will have this problem? What method are you using to assign this probability?
Answer:
1. 0.3
2. Relative frequency
Step-by-step explanation:
We would be calculating for p(A) which is the probability of A. With A being that public buildings would be found to be insulated with same materials that causes same issues
n = sample space of public buildings = 10
F = frequency = 3
P(A) = 3/10 = 0.3
Therefore 0.3 is the approximate probability of another building having same issues
Question 2 says we should find method used to assign probability
The method used is relative frequency method and it is determined by:
P(A) = frequency(f)/total number of data values(n).