Answers
In linear equation, solar system is 0.002 * 10³⁰ more than sun.
What are a definition and an example of a linear equation?
A linear equation with one variable is one that includes just one variable. It has the expression Ax + B = 0, with A and B being any two actual figures and x being an uncertain variable with only one possible value. Such a linear equation in one variable is 9x + 78 = 18.Mass of solar = 1.991 * 10³⁰
Mass of sun = 1.989 * 10³⁰
= 1.991 * 10³⁰ - 1.989 * 10³⁰
= 10³⁰ ( 1.991 - 1.989 )
= 0.002 * 10³⁰
solar system 0.002 * 10³⁰ is more than sun.
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Related Questions
If you wanted to take a simple random sample for a study on screen time in elementary school students in your town, which describes the sample you would ask?
twenty students from one elementary class in your town
twenty students from each elementary school in your town
twenty students that are friends from an elementary school in your town
twenty students that are friends from each elementary school in your town
Answers
The option that describes the sample you would ask is A. twenty students from one elementary class in your town.
What is a simple random sampling?It should be noted that a simple random sampling simply means a form of sampling whereby everybody has an equal chance of being selected.
In this case, it should be noted that the person wanted to take a simple random sample for a study on screen time in elementary school students in the town. Therefore, twenty students can be chosen to illustrate this.
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Each number in a list of numbers can be found using the expression 6 − 23(n − 1), where n is a positive integer that gives the position of the number in the list. What is the thirteenth number in the list? A. −8 B. −2 C. 8 D. 13
Answers
The solution is Option A.
The value of the 13th number from the equation A = ( -2/3 ) ( n - 1 ) is A = -8
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = ( -2/3 ) ( n - 1 ) be equation (1)
On simplifying the equation , we get
The thirteenth number in the list is n = 13
So , when n = 13
A = ( -2/3 ) ( n - 1 )
A = ( -2/3 ) ( 13 - 1 )
On further simplification , we get
A = ( -2/3 ) ( 12 )
A = ( -2 ) x 4
So , the value of A = -8
Hence , the thirteenth number in the list is A = -8
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Please help me !! due tonight
Answers
Answer:
y=-2x+5
Step-by-step explanation:
This is my last one for today hahaha. Good luck on the rest.
I really need help with the problem in the photo
Answers
The common denominators and the equivalent fractions are discussed below.
What is a fraction?A fraction represents a part of the whole or group of objects.
Given are the pair of fractions.
1 - 1/8 and 1/2
The common denominator will be - 16
(1 x 2)/(8 x 2) = 2/16
(1 x 8)/(2 x 8) = 8/16
2 - 1/8 and 9/5
The common denominator will be - 40
(1 x 5)/(8 x 5) = 5/40
(9 x 8)/(5 x 8) = 72/40
3 - 1/8 and 11/6
The common denominator will be - 48
(1 x 6)/(8 x 6) = 6/48
(11 x 8)/(6 x 8) = 88/48
Therefore, the common denominators and the equivalent fractions are discussed above.
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Choose all that apply.
You visit the Grand Canyon and drop a penny off the edge of a cliff. The distance the penny will fall is 16 feet the firstsecond, 48 feet the next second, 80 feet the third second, 112 feet the fourth second, and so on. Determine if this represents an arithmetic or geometric sequence and explain why you made your choice.
A arithmetic
B geometric
The sequence is adding each time.
D The sequence is multiplying each time.
Answers
At the end of the sixth second, the coin will have fallen 176 feet in Arithmetic Progression.
What is Arithmetic Progression (AP)?
The difference between any two consecutive integers in an arithmetic progression (AP) sequence of numbers is always the same amount.For instance, the sequence 2, 6, 10, 14,... is an arithmetic progression (AP) because it adheres to the rule that each number is obtained by adding 4 to the term before it. The nth term in this series equals 4n-2. You can determine the terms of the series by changing the nth term to n=1,2,3,...16, 48, 80, ?
Use The sum up to nth terms of an AP is given as :-
S(n) = (n/2)[2a + (n - 1)d]
In this arithmetic sequence, each term is 32 more than the one immediately before it.
So,
16, 48, 80, 112, 144, 176
At the end of the sixth second, the coin will have fallen 176 feet.
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find the next two number 7,-7,-21,-35
Answers
Answer:
-49 and then -63
Step-by-step explanation:
it is going by -14s
What is the difference between a relation and a function? Classify each of the following as a function or not a function. State the domain and range. {(0,0),(2,22),(3,33)}
Answers
The relation given can be classified as a function as every single input corresponds to a single output value.
What is the difference between a relation and function?The difference between a relation and a function lies in the fact that a relation can have many outputs for a single input, but a function has a single input for a single output. The statement above is the distinctive property between a relation and a function.
The relation given in the task content is a function as every single input has a single output as evident in the function.
Hence, the domain of the function is; {x | x : 0, 2, 3} while the range is; {y | y : 0, 22, 33}.
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Find the value of x.
Answers
Answer:
x=15
Step-by-step explanation:
You can set up the equation like this
60 =3x+15
Get x by itself
45=3x
Divide both sides by 3
x=15
Which of the following values "completes the square," or creates a perfect square trinomial, for x2 + 6x + ___?
1
3
6
9
Answers
Answer:
+ 9
Step-by-step explanation:
x² + 6x
to complete the square
add ( half the coefficient of the x- term )² to x² + 6x
x² + 2(3)x + 3²
= x² + 2(3)x + 9
= (x + 3)² ← a perfect square
The largest angle of a triangle measures 9degrees less than 5 times the measure of the smallest angle. The middle angle measures three times that of the smallest angle. Find the measures of the three angles.
Answers
Let the smallest angle be represented as
[tex]=x[/tex]Step 1: The largest angle of a triangle(let the largest angle =z) measures 9degrees less than 5 times the measure of the smallest angle, this statement is represented as
[tex]\begin{gathered} 5\text{ times the smallest angle gives} \\ =5\times x \\ =5x \\ 9\text{ degr}ees\text{ less will give the largest angle to be} \\ \text{largest angle =5x-}9 \\ z=5x-9 \end{gathered}[/tex]Step 2: let's calculate the middle angle (let the middle angle =y)
The middle angle measures three times that of the smallest angle, which means that
[tex]\begin{gathered} y=3\times x \\ \text{middle angle =y= 3x} \\ y=3x \end{gathered}[/tex]Recall that the total angles in a triangle give
[tex]=180^0[/tex]Therefore,
[tex]\begin{gathered} \text{largest angle + middle angle + smallest angle =180}^0 \\ z+y+x=180^0 \end{gathered}[/tex]Substituting we will have
[tex]\begin{gathered} 5x-9+3x+x=180^0 \\ \text{collect the sinmilar terms we will have} \\ 5x+3x+x=180^0+9^0 \\ 9x=189^0 \\ \text{divide both sides by 9} \\ \frac{9x}{9}=\frac{189^0}{9} \\ x=21^0 \end{gathered}[/tex]Hence,
the smallest angle is = 21 degrees
[tex]\begin{gathered} \text{The largest angle =5x-9} \\ =5\times21^0-9 \\ =105^0-9 \\ =96^0 \end{gathered}[/tex]Hence,
The largest angle = 96 degrees
[tex]\begin{gathered} \text{The middle angle=}3x \\ =3\times21^0 \\ =63^0 \end{gathered}[/tex]Hence,
The middle angle = 63 degrees
X _-2, -1, 1, 2Y_ -9, -5, 3,7find the equation that represents the table
Answers
Answer:
E. 4x - 1
Explanation:
An equation that represents the table satisfies that when we replace each value of x in the table, we get its respective value of y in the table.
So, the answer is:
y = 4x - 1
Because:
For x = -2, we get:
y = 4(-2) - 1
y = -8 - 1
y = -9
For x = -1, we get:
y = 4(-1) - 1
y = -4 - 1
y = -5
For x = 1:
y = 4(1) - 1
y = 4 - 1
y = 3
For x = 2:
y = 4(2) - 1
y = 8 - 1
y = 7
PLEASE HELP!!!
Assignment name: Trigonometry, Evaluation of Functions
Hi, can someone help find the GRAPHS that belong to these problems, please! I only need a picture of a graph for each problem that I've attached below :)
Answers
1. The θ lies in the 2nd quadrant of the graph.
2. The θ lies in the 1st quadrant of the graph.
3. The θ lies in the 3rd quadrant of the graph.
In the first question, Secθ = -13/5 and Tanθ is negative.Secθ is negative in the 2nd and 3rd quadrants.Tanθ is negative in the 2nd and 4th quadrants.Thus, θ lies in the 2nd quadrant of the graph.In the second question, Sinθ = 7/10 and Cotθ is positive.Sinθ is positive in the 1st and 2nd quadrants.Cotθ is positive in the 1st and 3rd quadrants.Thus, θ lies in the 1st quadrant of the graph.In the third question, Tanθ = 3/4 and Sinθ is negative.Tanθ is positive in the 1st and 3rd quadrants.Sinθ is negative in the 3rd and 4th quadrants.Thus, θ lies in the 3rd quadrant of the graph.To learn more about quadrants, visit :
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Please help me, it is important
Answers
Answer: Your fourth point is going to be (-3,4). Hope this helps!
Step-by-step explanation:
When you round up to a place that has a 9, you create a 10. Then you need to round up the next place to the left of the place you are rounding to.There are 198,714 people living in Belleville. What is the number of people rounded to the nearest ten thousand?a. What digit is in the ten thousands place?b. Which place is used to decide which way to round the ten thousands place?c. What is the digit in this place?d. Should you round the number in the ten thousands place up or down?e. What happens when you round up a 9?f. What do you do when the value of a place is 10 or more?g. What is the value of the ten thousands place when the number is rounded to the nearest tenthousand?h. What is 198,714 rounded to the nearest ten thousand?i. What is 302,895 rounded to the nearest thousand?j. What is 7,142 rounded to the nearest ten?k. Round 24,793 to the nearest hundred.?
Answers
198, 714
a. What digit is in the ten thousands place? - 9
b. Which place is used to decide which way to round the ten thousands place? - thousands place
c. What is the digit in this place? - 8
d. Should you round the number in the ten thousands place up or down? - UP
e. What happens when you round up a 9? - It becomes 10.
f. What do you do when the value of a place is 10 or more? - The number becomes 0 and we add 1 to the next place to the right.
g. What is the value of the ten thousands place when the number is rounded to the nearest ten thousand? 100,000
h. What is 198,714 rounded to the nearest ten thousand? - 200,000
i. What is 302,895 rounded to the nearest thousand? - 303, 000
j. What is 7,142 rounded to the nearest ten? - 7, 140
k. Round 24,793 to the nearest hundred? - 24, 800
Please help me on this question:
A circle has diameter 9 cm
A square has side length 5 cm
Use Pythagoras' theorem to show that
the square will fit inside the circle without
touching the edge of the circle.
9 cm
5 cm
Answers
Since the diagonal is less than the circle's diameter, the Pythagorean theorem reveals that the square may fit within the circle without touching its edge.
How to use the Pythagorean theorem to determine if a square fits within a circle or notSince squares are made up of two right triangles of equal length, the Pythagorean theorem is used to calculate the length of the hypotenuse of right triangles, which corresponds to the diagonals in squares.
The diagonal (L) of the square must be less than the diameter of the circle if it can fit within the circle without touching the edge (d). Therefore, we continue to establish this connection:
[tex]L=\sqrt{2}.5cm[/tex]
L ≈ 7.071 cm
Because the diagonal is less than the circle's diameter, the Pythagorean theorem reveals that the square may fit within the circle without touching its edge.
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A large multiplex movie house has many theaters. The largest theatre has 36 rows. There are 20 seats in the first row. Each row has four seats more than the previous row. How many total seats are there in this theatre?
Answers
Answer:
2880 seats
Step-by-step explanation:
r1 r2 r3 r36
20 + 20+4 + 20+4+4 + ···+20+4×35
total seats = ((20 + 20+4×35)÷2)×36= 2880
√31+√31. I’ve been trying to figure this out for the last hour and no luck hoping someone could help me.
Answers
Answer: it would be either: 1 or 0 or 62
Step-by-step explanation:
ok
Help! 100 points! Evaluate the function at: x=3
Answers
Answer: When x=3 y=-3
Step-by-step explanation:
on a piece of paper, graph the system of equations. Find the solution to the system. y=2x-1 y=x+5
Answers
The solution to the system is 6 and 11.
What is equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" symbol and terms on both sides must always be present when writing an equation.
Given equation:
y=2x-1 .....(1)
y=x+5....(2)
Now solving equation 1 and 2, we get
2x -1 = x + 5
2x - x= 5 +1
x = 6
and, y= 2x-1
y= 2(6)-1
y= 12 -1
y= 11
Hence, the value of x is 6 and y is 11.
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Rabbit populations can double every 30
days. If there are 10 rabbits on a farm,
how many rabbits will be on the farm
after 120 days?
Future Amount = [?] rabbits
Hint: Future Amount =
←
+ r)t
(1 + r)t time
(1
periods
initial
growth
amount rate
Round to the nearest whole number.
Answers
Answer:
80
Step-by-step explanation:
→ Work out how many rabbits after 60 days
20 rabbits
→ Work out how many rabbits after 90 days
40 rabbits
→ Work out how many rabbits after 120 days
80 rabbits
A shipping container will be used to transport several 120-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 27500 kilograms. Other shipments weighing 14900 kilograms have already been loaded into the container. Write and solve an inequality which can be used to determine x, the number of 120-kilogram crates that can be loaded into the shipping container.
HURRY PLEASEEEEEEEEEEEEEEEEEEE!
Answers
A maximum of 105 number of 120 kilograms can be loaded in the container.
What is Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
Weight of each crate = 120 kg
The greatest weight loaded in the container = 27500 kg
Weight already loaded in the container = 14900 kg
Now,
Since, Weight already loaded = 14900 kg
Let number of 120 kilograms loaded in the container = x.
Hence, Weight of x = 120 kg
So, After combined we get;
Weight nor be greater than the capacity of the container.
Hence, we can formulate;
14900 + 120x ≤ 27500
Subtract 14900 we get;
120x ≤ 27500 - 14900
120x ≤ 12600
x ≤ 12600 ÷ 120
x ≤ 105
Thus, A maximum of 105 number of 120 kilograms can be loaded in the container.
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finishing a long race, a runner puts on a burst of speed 15 meters from the finish line. two seconds later, she comes to a stop 3 meters past the finish line. what was her average speed during those two seconds?
Answers
The average speed during the two seconds in which the runner moved from 15 meters from the finish line to 3 meters past the finish line is 9 m/s
The average speed of the runner can be determined by using the following formula;
speed = distance ÷ time
As she moved from 15 meters from the finish line to 3 meters past the finish line in 2 seconds, the total distance covered in these 2 seconds by her can be calculated as follows;
distance = 15 meters + 3 meters
distance = 18 meters
Now substituting the values for distance and time in the formula;
speed = 18 / 2
speed = 9 m/s
Hence the average speed of the runner during the two seconds is calculated to be 9 m/s.
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Need to find the mean, median, mode, and midrange.
Answers
The science of statistics focuses on creating and researching strategies for gathering, analyzing, interpreting, and presenting empirical data.
Explain about mean median mode?A data set's mean (average) is calculated by summing all of the numbers in the set, then dividing by the total number of values in the set. When a data collection is ranked from least to greatest, the median is the midpoint. The number that appears most frequently in a data set is called the mode.
Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean. An average is most frequently used to refer to this. The value that appears the most frequently on the list is the mode.
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Simplify the function f (x) = one-third (81) Superscript StartFraction 3 x Over 4 EndFraction. Then determine the key aspects of the function.
Answers
The function is f(x) = 1/3(27)ˣ, the key aspects are domain: -oo < x < oo and range: y ≥ 1/3
How to simplify the equation of the function?From the question, the equation of the function is given as
f (x) = one-third (81) Superscript StartFraction 3 x Over 4 EndFraction
Rewrite the equation properly
So, we have
f(x) = 1/3(81)³/⁴ˣ
Express 81 as 3 exponent 4
So, we have the following equation
f(x) = 1/3(3⁴)³/⁴ˣ
Evaluate the exponents
f(x) = 1/3(3)³ˣ
Further, evaluate the exponents
f(x) = 1/3(27)ˣ
Next, we calculate the key aspects i.e. the domain and the range
The above function is an exponential function.
The domain of an exponent is the set of all real values
Set the radicand to 1, to calculate the range
So, we have
y = 1/3 * 1
Evaluate
y = 1/3
Since the coefficient, this value is a minimum
So, the range is
y ≥ 1/3
Hence, the simplified function is f(x) = 1/3(27)ˣ
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Answer:
1/3
27
all real numbers
y > 0
or B. C. D. B.
Step-by-step explanation:
hope I could help
A piece of artwork, purchased for $1500, increases in value by 8% each year,11) (3pt) Write an exponential function to represent the value of the artworkafter z number of years.12) (2pt) What will the artwork be worth in 10 years?
Answers
Let's begin by listing out the information given to us:
Cost (c) = $1500, interest (r) = 8% /annum
The equation for this is given by:
[tex]\begin{gathered} y=c\cdot(1+r)^z\Rightarrow y=c(1+0.08)^z \\ c=\text{ \$1500, }r=0.08 \\ y=c(1.08^z)^{}=1500\cdot1.08^z \\ \\ z=10 \\ y=1500\cdot1.08^{10} \\ y=\text{ \$}3238.39 \end{gathered}[/tex]11. The exponential function is given by: y = c * 1.08^z
12. The artwork is worth $3238.39
enry can write 5 pages of his novel in 3 hours. At this rate, how many pages can Henry write in 8 hours?
Answers
Henry can write 13 pages in 8 hours, at this rate.
This is a problem from the unitary method. We can solve this question following a few steps.
Here if Henry can write 5 pages of his novel in 3 hours. We have to find the number of pages that Henry can write within 1 hour.
The number of pages Henry can write within 1 hour is 5/3 pages.
[Number of pages within a unit hour = number of total pages/ total hour]
Therefore, Henry writes in 8 hours is, ( 5/3 × 8 ) = 40/3 = 13.33 ≈ 13 pages
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Which statements are true for the functions g(x) = x2 and h(x) = –x2 ? Check all that apply.
For any value of x, g(x) will always be greater than h(x).
For any value of x, h(x) will always be greater than g(x).
g(x) > h(x) for x = -1.
g(x) < h(x) for x = 3.
For positive values of x, g(x) > h(x).
For negative values of x, g(x) > h(x).
Answers
Correct option are C,D, E. g(x) > h(x) for x = -1, For positive values of x, g(x) > h(x), For negative values of x, g(x) > h(x).
What are functions?A function is a type of rule that produces one output for a single input. This is illustrated by the equation y=x2. Any input for x results in a single output for y. Considering that x is the input value, we would state that y is a function of x.
They have the same value if x=0.
The first and second choices are not viable
for x=-1
g(-1)=1
h(-1)=-1
3. is accurate
4th , false G(x)>H for all values other than zero (x)
the proper ones are
For x=-1, g(x) exceeds h(x).
G(x) > h for positive values of x. (x).
G(x) > h for negative values of x (x).
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What is the measure (in radians) of central angle in the circle below?
Answers
central angle Θ of the circle is equal to = 3.6633333 radian
What is difference between radians and degrees ?While a radian is another unit of measurement that is used to measure angles, a degree is a unit of measurement that is used to measure circles, spheres, and angles. The radian, or one pi radian, is only half the diameter of a circle, which has 360 degrees, or its entire area.
Calculationcentral angle of the circle is equal to = (14 * 3.14 )/12
= 3.6633333 radian
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156.24 is 36% of what
Answers
Answer:
434
Step-by-step explanation:
Steps:
156.24 ÷ 36% = 156.24 ÷ 0.36 = 434
(20pts, 5pts each) The median of AMND from vertex N of the
isosceles trapezoid MNFD is 5cm. The diagonal ND is
perpendicular to the leg MN. The shorter base NF = 6cm and the
32cm².
A
MNFD
=
Find: MD, the altitude of the trapezoid h, the length of the
legs of the trapezoid and the ratio between the areas of AMND and
ANFD.
Answers
Answer:
MD = 10 cmh = 4 cmMN = FD = 2√5 cm ≈ 4.47 cmarea ratio = 5 : 3Step-by-step explanation:
Given isosceles trapezoid MNFD with short base NF = 6 cm, diagonal ND perpendicular to leg MN, and triangle MND median NX = 5 cm, you want ...
length MDaltitude h of the trapezoidlengths of MN and FDratio of areas of ∆MND and ∆NFDMDMD is the hypotenuse of right triangle MND. The median from the right angle of a right triangle is half the length of the hypotenuse, so ...
MD = 2·NX = 2·(5 cm)
MD = 10 cm
AltitudeIn the attached diagram, we see that right triangle XYN has side XY = 3 (half of NF), and hypotenuse NX = 5 (given). These are two sides of a 3-4-5 right triangle, so the remaining side, altitude h, is 4.
h = 4 cm
Side lengthsThe attache diagram shows congruent side lengths MN and FD are the hypotenuse of a right triangle with sides YM = 2 and YN = 4. The Pythagorean theorem tells us the length of side MN is ...
MN² = MY² +NY²
MN² = 2² +4² = 4 +16 = 20
MN = √20
MN = FD = 2√5 ≈ 4.47
Area ratioTriangle MND has a base length MD = 10 and a height h = 4. Triangle NFD has a base length NF = 6 and a height h = 4. The ratio of the areas of these two triangles is ...
[tex]\dfrac{A_{MND}}{A_{NFD}}=\dfrac{\frac{1}{2}\cdot10\cdot4}{\frac{1}{2}\cdot6\cdot4}=\dfrac{10}{6}=\boxed{\dfrac{5}{3}}[/tex]
The ratio between the areas is 5 : 3.
__
Additional comment
We are also given the area of the trapezoid as 32 cm². That can be used to find the longer base and/or the altitude, or to check the answers we have for those values. It is redundant information.
The midpoint X of MD is the center of the circumscribing circle of the trapezoid and right triangles MND and MFD. The midpoint of the hypotenuse of a right triangle is always the circumcenter, so knowing the length NX tells us the radius of that circle, hence MX and XD.