Which pairs of expressions below are equivalent? (Select all that apply)
5x + 3x − 2y and −2y + 8x
6x − 8x and 3(2x − 4y)
4x − 5y and 5y − 4x
5(2x − 3y) and 10x − 3y
x + y + x + y and 2( x + y )
Answer:
5x+3x-2y and -2y+8x
X+y+X+y and 2(X+y)
Cohen mailed a letter on Monday morning. The letter has to travel 12 1/2 miles to reach it's destination.
The letter traveled 2 1/4 miles on Monday and traveled an additional 7 1/12 miles on Tuesday.
How far did the letter travel on Wednesday to reach it's destination?
Answer:
2 3/4 miles
Step-by-step explanation:
Remaining miles are found by subtracting miles already traveled from the number that need to be traveled.
__
12 1/2 - 2 1/4 - 7 1/2
= (12 1/2 -7 1/2) -2 1/4
= 5 -2 1/4 = 2 3/4
The letter traveled 2 3/4 miles on Wednesday to reach its destination.
What is the difference? startfraction x over x squared 3 x 2 endfraction minus startfraction 1 over (x 2) (x 1) endfraction startfraction x minus 1 over 6 x 4 endfraction startfraction negative 1 over 4 x 2 endfraction startfraction 1 over x 2 endfraction startfraction x minus 1 over x squared 3 x 2 endfraction
Answer:
choose D
Step-by-step explanation:
x/(x²+3x+2) - 1/[(x+2)(x+1)]
x² + 3x + 2 = x² + 2x + x + 2
= x(x + 2) + (x + 2)
= (x + 2)(x + 1)
= x/[(x+2)(x+1)] - 1/[(x+2)(x+1)]
= (x-1)/[(x+2)(x+1)]
= (x-1)/(x²+3x+2)
The box plots display the same data for the number of crackers in each snack bag, but one includes the outlier in the data and the other excludes it. 4, 14, 15, 15, 16, 16, 18, 19, 20, 20, 21 number of crackers in each bag, with outlier a number line goes from 0 to 26. the whiskers range from 4 to 21, and the box ranges from 15 to 20. a line divides the box at 16. number of crackers in each bag, without outlier a number line goes from 0 to 26. the whiskers range from 14 to 21, and the box ranges from 15 to 20. a line divides the box at 17. which statement comparing the box plots is true? both the median and the range changed. both the range and the lower quartile changed. both the median and the interquartile range changed. both the interquartile range and the lower quartile changed.
Both the median and the range changed, the correct option is A.
What is the median?Median, in statistics, is the middle value of the given list of data, when arranged in an order.
The data set that contains the outlier is given as:
4, 14, 15, 15, 16, 16, 18, 19, 20, 20, 21
The minimum value of the data is: 4
The median or middle quartile i.e. [tex]\rm Q_2[/tex] is the central tendency of the data and exists in the middle of the data.
The median is: 16
Also, the lower set of data is:
4,14,15,15,16
The lower quartile i.e. [tex]\rm Q_1[/tex] is the median of the lower set of data.
The lower quartile i.e. [tex]\rm Q_1[/tex] = 15
Similarly, the upper set of data is:
18, 19, 20, 20, 21
the upper quartile i.e. [tex]\rm Q_3[/tex] is the median of the upper set of data.
upper quartile i.e. [tex]\rm Q_3[/tex] = 20
Also, the interquartile range is:
[tex]\rm Q_3-Q_1=20-15=5[/tex]
The maximum value of the set is 21.
Range = Maximum value-Minimum value =21 - 4 = 17
As we know that 4 is the outlier of the data as it is the smallest as compared to all the data points.
After removing the outlier the data set is:
14, 15, 15, 16, 16, 18, 19, 20, 20, 21
The minimum value of the set =14
The maximum value of set =21
Range = Maximum value-Minimum value =21-14 = 7
Hence, Both the median and the range changed.
To know more about median and range click the link given below.
https://brainly.com/question/9045470
ASNWER QUICK WILL MARK BRAINLESIT! WORTH 84 BRAINLY POINTS THANKS
A 56°
B 73°
C : 51°
D 107
Answer:B 73
Step-by-step explanation:
The dimensions of an isosceles triangle are shown.
28.4 m
25.6 m
12.3 m
*not drawn to scale
To the nearest tenth, what is the area of the triangle?
O A. 157.4 m2
OB. 314.9 m2
OC. 349.3 m2
OD. 363.5 m2
Answer:
B. 314.9 m2
Step-by-step explanation:
please help! its do by 3:55pm! im only at 20! johns test averages 69,86,100,and 105 what is his average?
Answer:
90
Step-by-step explanation:
In order to find the average of something, you add all the numbers and then divide it by how many numbers there were.
69+68+100+105=360
360 ÷ 4 = 90
John's average is 90.
Brainliest please?
f(x)=2x2+3x−1 and g(x)=3x+4. Find g(f(x)).
Answer:
6x²+9x+1
Step-by-step explanation:
Check out the attached photo
The table shows the number of resident geese living in four different ponds. a 3-column table has 4 rows. the first column has entries pond a, pond b, pond c, pond d. the second column is labeled population of geese with entries 88, 175, 192, 204. the third column is labeled area (acres) with entries 1.1, 1.3, 1.5, 2.0. which pond has the greatest population density of resident geese? pond a pond b pond c pond d
The population density is the ratio of the number of geese to the area. Then the greatest population density in pond C is 128.
What is population density?The population density is defined as the number of objects present in the unit area.
The formula is given as
[tex]\rm Population\ density = \dfrac{number\ of \ object}{total \ area}[/tex]
The table shows the number of resident geese living in four different ponds. a 3-column table has 4 rows.
Then the greatest population density of the geese will be
[tex]\rm Population\ density = \dfrac{192}{1.5} = 128[/tex]
More about the population density link is given below.
https://brainly.com/question/1581160
Answer:
pond B
Step-by-step explanation:
edg 2022
which series of transformation shoes that triangle A is congruent to triangle D
You didnt put any images
Can someone please help ASAP An online video store charges a monthly fee of $10, plus $2 for each video rental. Which graph below best
represents the relationship between the number of video rentals and the total monthly cost?
Using linear function concepts, it is found that graph A is the one that best represents the relationship.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, there is a fixed fee of $10, plus a fee of $2 per movie, hence m = 2, b = 10, and the function is given by:
y = 2x + 10.
Due to the y-intercept of y = 10, that is, when x = 0, y = 10, graph A is the one that best represents the relationship.
More can be learned about linear function concepts at https://brainly.com/question/24808124
Which statements are true? select three options. (the formula for the area of a triangle is a = one-halfbh.) bc = 6 cm ac = 5 cm ba = 4 cm the perimeter of triangle abc = 12 cm. the area of triangle abc is one-third the area of triangle def.
The area of the triangle is the half of the product of base and height then the correct option is A.
What is the triangle?Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
Points A, B, and C are midpoints of the sides of the right triangle DEF.
Then the area of the triangle is given as
Area of the triangle = half of the product of base and height
That can be written as
[tex]\rm Area = \dfrac{1}{2} \times b \times h[/tex]
Thus, the correct option is A.
More about the triangle link is given below.
https://brainly.com/question/25813512
Answer:
B,C,D
Step-by-step explanation:
Use the Pythagorean Theorem to find the missing side of the right triangle:
Answer:
9.165
Step-by-step explanation:
Pythagorean Theorem implies a^2 + b^2 =c^2
AC= hypotenus
AB= 4
CB= ?
10^2=4^2+CB^2
CB= √10^2-4^2
= 9.165
The prism is completely filled with 135 cubes that have edge length of 1/3ft. What is the volume of the prism? Enter your answer in the box.
The volume of the prism which is filled with 135 cubes is 5 cubic feet.
What is the Volume of Cube ?
The volume of a cube defines the number of cubic units, occupied by the cube completely. The unit of volume of the cube is in cubic units such as cu. centimeters, cu. meters, cu. inches, cu. feet, etc.
Here Prism is filled with 135 cubes.
Volume of prism = volume of 135 cubes
= 135 X side X side X side
= 135 X 1/3 X 1/3 X 1/3
= 135 / 27
Volume of prism = 5 cu. feet
Thus, The volume of the prism which is filled with 135 cubes is 5 cubic feet.
Learn more about volume of prism from:
https://brainly.com/question/1578538
#SPJ1
Find the length of the segment with endpoints at (2, 7) and (8, -1). using the formula below.
Answer:
10
Step-by-step explanation:
Let (2, 7) = [tex](x_{1} ,y_{1} )[/tex] and (8, -1) = [tex](x_{2} ,y_{2} )[/tex]
= [tex]\sqrt{(8-2)^{2} + (-1 -7)^2}[/tex]
= [tex]\sqrt{6^2 +(-8^2)}[/tex]
= [tex]\sqrt{36 + 64}[/tex]
= [tex]\sqrt{100}[/tex]
= 10
The length of the segment with endpoints at (2, 7) and (8, -1) using distance formula is 10 units.
Distance formula is the the formula for calculating the length of a line segment given the coordinates of the endpoints. The formula is given as :
Given the endpoints [tex](x_1,y_1), (x_2, y_2)[/tex]
d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Given in the question,
[tex](x_1,y_1) = (2,7)\\(x_2, y_2)=(8,-1)[/tex]
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d= \sqrt{(8-2)^2+(-1-7)^2}\\\\d= \sqrt{(6)^2+(-8)^2}\\\\d = \sqrt{36+64} = \sqrt{100} = 10[/tex]
Learn more about distance formula here
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A cylinder has a base diameter of 12ft and a height of 12ft. What is its volume in cubic ft, to the nearest tenths place?
Answer:
1357.2
Step-by-step explanation:
[tex]V=\pi r^{2} h[/tex]
[tex]=\pi *6^{2} *12[/tex]
[tex]=1357.2[/tex]
what is the exact length of the missing side
Answer:√44
Step-by-step explanation:
Find the measure of the exterior ∠1.
A. 60°
B. 80°
C. 150°
D. 90°
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Measure of an exterior Angle of a triangle is sum of two opposite interior angles of the same triangle ~
that is :
[tex]\qquad \tt \dashrightarrow \: \angle1 = 60 + 30[/tex]
[tex]\qquad \tt \dashrightarrow \: \angle1 = 90 \degree[/tex]
So, D is the correct choice ~
Step-by-step explanation:
As the sum of all angles of triangle is 180°
and we have been given 2 angles i.e 30° and 60°
So, Third angle will be 90°
Angle 1 = 180°-90° (as the value of angle made by a straight line is 180°)
Angle 1 = 90°
For the given equation, enter the value of B when x = 3.
BX = 15
Answer:
b = 5
Step-by-step explanation:
x = 3
3B = 15
3B/3 = 15/3
B = 5
9x10^4 in standard form
Answer:
90,000
Step-by-step explanation:
So a scientific notation is written as [tex]N*10^k[/tex]
So in this scientific notation its just equivealent to saying
[tex]9*10^4\\9*(10*10*10*10)\\9*10,000\\90,000[/tex]
Help please i don't want to get held back
Let total data be x GB
then
4% of x = 1.2GB
4% × x = 1.2
0.04 x = 1.2
x = 1.2 / 0.04
x = 120 ÷ 4 = 30 GB
How many groups of 5 can go into 900
Answer:
Your answer is 180
Step-by-step explanation:
180 x 5 = 900
suppose there are 30 bacteria in a bottle .the number of bacteria doubles every hour.
how many will there be after 7 hours?
is given that the number of bacteria doubles every hour.
Therefore, the number of bacteria after every hour will form a G.P.
with first term (a=30) and common ratio (r=2)
∴a
3
=ar
2
=(30)(2)
2
=120
Therefore, the number of bacteria at the end of 2nd hour will be 480.
a
5
=ar
4
=(30)(2)
4
=480
and a
n+1
=ar
n
=(30)(2)
n
Thus the number of bacteria at the end of nth hour will be (30)(2)
n
What is the quotient of 4.56 × 109 by 6.23 × 1011?
The quotient is
times 10 to the
power.
Answer:
7.319 x 10^-3
Step-by-step explanation:
4.56 * 10^9 / 6.23 * 10^11 = .7319 x 10^-2
Answer:
The quotient is 7.3194 times 10 to the -3 power.
Step-by-step explanation:
Got the question right. EDGE 2022.
What is the area of the triangle if the base is 5 centimeters and the height is 6 centimeters?
Answer:
15cm²
Step-by-step explanation:
Formula of a triangle:
½ × base × height
= ½ × 5 × 6
= 15 cm²
Hope this helps =)
Answer:
15 cm squared :)
Step-by-step explanation:
Area of triangle: b(h)/2
Now lets solve!!
5(6)/2
30/2
15
Have an amazing day!!
Plerase rate and mark brainliest!!
What is the value of ?
Enter your answer in the box.
___cm
Answer:
5
Step-by-step explanation:
the sum of 2/5 and f is 1/2
Answer:
the photo has the anwer
and it up to you if this is right it should be can I be marked as brainliest
L00K AND ANSWER PLS :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :)
Answer:
i dont the answer
Step-by-step explanation:
hey u, you're a loser
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!
Answer:
315°
Step-by-step explanation:
∠HCG = 180° - 60° - 75° = 45°∠DCH = 360° - 180° - 45° = 135°Finding m∡DHE
∠DCH + ∠HCG + ∠GCF + ∠ECF135° + 45° + 75° + 60°180° + 135°315°Answer:
m∡DHE = 315°
Step-by-step explanation:
Angles around a point always add up to 360°.
⇒ m∡DHE = 360° - m∡ED
= 360° - 45°
= 315°
Find the surface area of the prism. Write your answer as a decimal.
13.5 in.
9 in.
9 in
10 in.
Answer:
360 in²
Step-by-step explanation:
Total SA = 2 triangles + 3 squares
Triangles:
A = bh/2
A = (9 · 10)/2
A = 90/2
45 in²
Squares:
A = bh
A = (9)(10)
90 in²
Total SA: 2(45) + 3(90)
Total SA: 360 in²
I hope this helps!