Answer
x = 21
HOS = 68
Explanation
The arrows beside x point to 12 and 6, which is a straight angle. Straight angles always add up to 180 degrees.
So that means 3x+5 plus 5x+7 must equal 180 degrees.
3x+5+5x+7 = 180
Combine like terms.
8x+12 = 180
Subtract 12 from both sides.
8x = 168
x = 21
But BE CAREFUL.
The problem is asking for the angle HOS.
To do this, just substitute what you got for x into the expression.
3(21)+5 = 68
The value of HOS is 68 degrees.
An aquarium tank is 3 feet long 1 foot wide and 2 feet high how many gallons of water would it take to fill the tank two thirds full a cubic foot is about 7.5 gallons
Answer: i believe it'll take 6 gallons to fill up the tank two thirds full
Step-by-step explanation: 3 x 1 x 2 = 6 gallons
Suppose that 65\ee, percent of the 310{,}000310,000310, comma, 000 citizens in a county are registered to vote. A not-for-profit organization takes an SRS of 100100100 of these citizens and finds that 67\gg, percent of those sampled are registered to vote. The organization plans on taking repeated samples like this. What are the mean and standard deviation of the sampling distribution of the proportion of citizens who are registered to vote
Answer:
mean= 0.65
standard deviation=[tex]\sqrt{\frac{0.65(0.35)}{100}[/tex]
Step-by-step explanation:
The mean of the sampling distribution is 0.65 and the standard deviation is approximately 0.004779.
What is the standard deviation?The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation, which is also known as the square root of variance.
The mean of the sampling distribution of the proportion of citizens who are registered to vote is equal to the proportion of all citizens who are registered to vote, which is 65% = 0.65.
The standard deviation of the sampling distribution is equal to the standard error of the proportion, which can be calculated as follows:
standard error = √((65% × 35%) / 100)
= √((0.65 × 0.35) / 100)
= √(0.0227 / 100)
= √(0.0000227)
= 0.004779
Therefore, the standard deviation is approximately 0.004779.
Learn more about the standard deviation here:
brainly.com/question/14747159
#SPJ5
During a session, a senate had a total of 104 Democrats and Republicans. There were 4 fewer Democrats than Republicans. How many members of each party were
there?
Answer:
54 republicans
50 democrats
Step-by-step explanation:
x=republicans
y=democrats
x+y=104
x=y+4
substitute for y
y+4+y=104
simplify
2y=100
y=50
x=54
Find 9079 + 1232 + 9786.
Which quadrants are (-4,5) in
Answer:
Quadrant 2
Step-by-step explanation:
Take a look at the picture I added it should help you on futures questions like this :)
EASY ANSWER PLEASE WANT BRAINLEIST SURE JUST ANSWER!
Answer:
can i have brainliest i answered in the question spot
Step-by-step explanation
Find the 18h term of the arithmetic sequence whose common difference is d=4 and whose first term is a, =3.
Answer:
the 18th term is 71
Step-by-step explanation:
The general form for any term "n" in an arithmetic sequence is:
a(n) = a1 + (n-1) * d
where "d" is the common difference.
So, in our case we have:
a(n) = 3 + (n-1) *4
Therefore, the 18th term will be:
a(18) = 3 + (18 - 1) 4 = 3 + 17 * 4 = 71
PLEASE HELP I WILL MAKE YOU BRAINLIEST!!!!! A rectangular prism has a volume of 198 cm³. A rectangular pyramid has the same height as the rectangular prism and a base that is congruent to the base of the rectangular prism.
What is the relationship between the volume of the rectangular prism and the rectangular pyramid?
(A) The volume of a rectangular pyramid is 2 times the volume of a rectangular prism. The volume of the rectangular pyramid is 396 cm3.
(B) The volume of a rectangular pyramid is 13 the volume of a rectangular prism. The volume of the rectangular pyramid is 66 cm3.
(C) The volume of a rectangular pyramid is 3 times the volume of a rectangular prism. The volume of the rectangular pyramid is 594 cm3.
(D) The volume of a rectangular pyramid is 12 the volume of a rectangular prism. The volume of the rectangular pyramid is 99 cm3.
Answer:
(B) The volume of a rectangular pyramid is 1/3 the volume of a rectangular prism. The volume of the rectangular pyramid is 66 cm3.
Step-by-step explanation:
Volume of a rectangular prism:
The volume of a rectangular prism is given by:
[tex]V_R = A_{b}*h[/tex]
In which [tex]A_b[/tex] is the base area and h is the height.
Volume of a pyramid:
[tex]V_P = \frac{A_{b}*h}{3}[/tex]
Relation:
From this, given the same base and the same height, the volume of the pyramid will be a third of the rectangular prism.
A rectangular prism has a volume of 198 cm³
So the volume of the pyramid is 1/3 of this, that is, 198/3 = 66 cubic centimers.
The correct answer is given by option B.
Determine the domain and range of the line graphed
Answer:
Domain: (-∞, ∞)
Range: (-∞, ∞)
General Formulas and Concepts:
Algebra I
Reading a Cartesian planeDomain is the set of x-values that can be inputted into function f(x) Range is the set of y-values that are outputted by function f(x) Interval Notation - [Brackets] denote inclusion, (parenthesis) denote exclusionStep-by-step explanation:
According to the graph, we see our x-values span from negative infinity to positive infinity:
Interval Notation - (-∞, ∞)
Inequality Notation - ∞ < x < ∞
According to the graph, we see our x-values span from negative infinity to positive infinity:
Interval Notation - (-∞, ∞) or all real numbers
Inequality Notation - -∞ < y < ∞
One lap around the lake is 710 mile.
Dasha runs 9 laps around the lake.
Use the drop-down menus to complete the equation.
I need help with this is this complementary or supplementary or nither
9x + 1x =
Need answer asap
Make y the subject of the following equation.
5x + y = -10
a. y = -5x + 10
b. y=-10 - 5x
c. y = -10 + 5x
d. y + 10 = -5x
Answer:
b
Step-by-step explanation:
if you subtract 5x then you will get y=-10-5x
The average weight of 8 marbles is 3.5 g. What is the total weight of the marbles?
Answer:
Take 8÷3.5. So the answer is aprominently 2.29.
A population of 2000 fish increases at an annual rate of 7.5%. Write the model, then predict how
many fish will there be in 10 years?
Answer:
The model is [tex]P(t) = 2000(1.075)^{t}[/tex].
There will be 4122 fish in 10 years.
Step-by-step explanation:
Exponentially increasing population:
An exponentially increasing population can be represented by the following model:
[tex]P(t) = P(0)(1+r)^t[/tex]
In which P(t) is the population after t years, P(0) is the initial population, and r is the growth rate, as a decimal.
A population of 2000 fish increases at an annual rate of 7.5%.
This means that [tex]P(0) = 2000, r = 0.075[/tex]
So
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]P(t) = 2000(1+0.075)^t[/tex]
[tex]P(t) = 2000(1.075)^{t}[/tex]
This is the model.
How many fish will there be in 10 years?
This is P(10).
[tex]P(t) = 2000(1.075)^{t}[/tex]
[tex]P(10) = 2000(1.075)^{10} = 4122[/tex]
There will be 4122 fish in 10 years.
help plz
can someone simplify 3 to the power of 2 times 3 to the power of 3
Answer:
(9)(27) also 243
Step-by-step explanation:
So, 3^2=9, and 3^3=27, so (3^2)(3^3) is equal to (9)(27) or 243
Find the number that makes the ratio equivalent to 12:1.
?:6
Naomi used a rectangle a square and a right triangle to form figure. What is the area of the shaded region of the figure in square centimeters
Answer:
Nothing.
Step-by-step explanation:
I believe you needed a picture.
Help
Find x:
1.46
2.90
3.36
4.126
Answer:
First answer
Michael drove from home to work at an average speed of 50 mph. His return trip home took 30 minutes longer because he could only drive at 40 mph. Find the distance from his home to his work. A. [3 pts) Define variables to represent the unknowns and setup the necessary equations to answer the question. B. [4 pts) Algebraically solve the equation you created and express your final answer using a complete sentence and appropriate units. (You will not receive full credit if a trial and error method is used in place of an algebraic method.)
Answer:
100 miles
Step-by-step explanation:
Given :
To work :
speed = 50mph
Let time taken = x
From work :
speed = 40mph
30 minutes = 30/60 = 0.5
Time taken = x + 0.5
Distance from home to work :
Distance = speed * time
To work distance = from work distance
This can be algebraically expressed as :
50 * x = 40(x + 0.5)
50x = 40x + 20
50x - 40x = 20
10x = 20
x = 20/10
x = 2
Hence,
Distance = 50 * 2 = 100
The the distance from home to work = 100 miles
The distance from Michael home to work is 100 miles
SpeedSpeed is the ratio of the total distance travelled to the total time taken. It is given by:
Speed = distance / time
Let d represent the distance from Michael home to work. Hence:
50 = d/tt = d / 50He took 30 minutes (0.5 hours) longer when driving at 40 mph, hence:
40 = d/(t + 0.5)t = (d - 20)/40d/50 = (d - 20) / 40
40d = 50d - 1000
10d = 1000
d = 100 miles
The distance from Michael home to work is 100 miles
Find out more on speed at: https://brainly.com/question/4931057
7.13 g =
cg what is the answer
Answer: 713 cg
Step-by-step explanation:
1 g = 100 cg
----------------------------------------------------------
Given
7.13 g = ? cg
Solve
7.13 × 100 = 713 cg
Hope this helps!! :)
Please let me know if you have any questions
Plz answer correctly
Answer:
B) -1,-4,-7,-10,........
The first five terms
-1,-4,-7,-10,........
Step-by-step explanation:
Explanation:-
Given that the explicit rule
[tex]a_{n} = -3n +2[/tex]
Put n=1
⇒ a₁ = -3(1) +2
a₁ = -1
Put n=2
⇒ a₂ = -3(2)+2
a₂ = -6+2
a₂ = -4
Put n=3
a₃ = -3(3)+2
a₃ = -9+2
a₃ = -7
Put n=4
a₄ = -3(4)+2
a₄ = -12+2
a₄ =-10
The first five terms
-1,-4,-7,-10,........
Please help me!! Thank you!!
Answer:
[tex]Solution,\\PQ = \sqrt{(1-3)^2+(3-1)^2} = \sqrt{2^2+2^2} = \sqrt{8} = 2\sqrt{2} \\P'Q' = \sqrt{(3-9)^2+(9-3)^2} = \sqrt{6^2+6^2} = \sqrt{72} = 6\sqrt{2}\\Also,\\RQ = \sqrt{(1-3)^2+(1-1)^2} = \sqrt{2^2} = 2\\R'Q' = \sqrt{(3-9)^2+(3-3)^2} = \sqrt{6^2} =6\\Again,\\PR = \sqrt{(1-1)^2+(3-1)^2} = \sqrt{2^2}=2\\P'R' = \sqrt{(3-3)^2+(9-3)^2} = \sqrt{6^2} = 6\\Here, P'R' = 3PR, P'Q'=3PQ ~and~ Q'R'=3RQ~\\In~other~words~each~side~of~triangle~P'Q'R' ~is~three~times~the~length~of~triangle~PQR.\\[/tex][tex]So,~the~algebraic~rule~of~diliation(enlargement)~is~(x,y)----(3x,3y)[/tex]
If my answer did not help you, comment below but please don't delete it.
I need help with this geometry question
Step-by-step explanation:
m<2= 180-90-41= 49°
m<4=90°
m<5=41
m<9=36°
Order the following set of numbers from least to greatest.
0.09, 1%, 11%,
1/8
Find the area of the trapezoid.
1 1/2cm
4 cm
3 1/2 cm
0.392 is what percent of 28?
Pleasee
Answer:
28% of 0.392=0.10976
Step-by-step explanation:
1. We assume, that the number 0.392 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 0.392 is 100%, so we can write it down as 0.392=100%.
4. We know, that x is 28% of the output value, so we can write it down as x=28%.
5. Now we have two simple equations:
1) 0.392=100%
2) x=28%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
0.392/x=100%/28%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
Solution for what is 28% of 0.392
0.10976
Kyle wants to wrap the box in wrapping paper.
A rectangular prism with a length of 18 inches, width of 6 inches, and height of 3 inches.
What is the minimum amount of paper needed to cover the entire box?
180 inches squared
324 inches squared
360 inches squared
648 inches squared
Answer: 360 in. squared
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
I did it and got it right
i’m confused on this- can someone help me?
Answer: great adventure theme park is more expensive
Step-by-step explanation:
Choose a random number between 1 and 25. What is the probability that it is an even number
Answer:
6/25
Step-by-step explanation:
its a probability out of all the odd numbers such as 1,3,5,7,9,11,13,15,17,19,21,23,25