Answer:
324
Step-by-step explanation:
Formula: [tex]a_{n} =a_{1} +(n-1)d[/tex]
=> [tex]a_{46} =9_{1} +(n-1)7\\[/tex]
= [tex]9_{1} +(46-1)7\\[/tex]
= [tex]9+(45)7\\[/tex]
= [tex]9+315[/tex]
= [tex]324[/tex]
:D
What is the mean in a math problem
Answer:
the mean is the average of a set of numbers
Step-by-step explanation:
for example, if a set of numbers were 1,2, and 3, the mean would be 2 because the average is 2.
This can be calculated by adding 1, 2, and 3, and dividing them among all three numbers
1+2+3 = 6
6/3 =2
there are three numbers in the data set that we were trying to get the mean from
give brainliest, please! hope this helps :)
Answer:
generally, the sum divided by the number of summands
Step-by-step explanation:
In math the term "mean" can have different meanings, depending on the context. It will generally refer to the arithmetic mean, if no additional qualifiers are given. The arithmetic mean is also called the average.
__
arithmetic meanThe arithmetic mean of a set of numbers is their sum, divided by the number of numbers. It is sometimes represented by the Greek letter μ or a variable with an overbar.
[tex]\overline{x}=\dfrac{x_1+x_2+\dots +x_n}{n}[/tex]
geometric meanThe geometric mean will be the n-th root of the product of n numbers.
[tex]\text{geometric mean}=\sqrt[n]{x_1\cdot x_2\dots\cdot x_n}[/tex]
harmonic meanThe harmonic mean is the reciprocal of the arithmetic mean of the reciprocals.
[tex]\text{harmonic mean}=\dfrac{n}{\dfrac{1}{x_1}+\dfrac{1}{x_2}+\dots+\dfrac{1}{x_n}}[/tex]
proportionIn a proportion written as ...
a/b = c/d
The two values closest to the middle of the expression (b and c) are called the "means". Those farthest away (a and d) are called the "extremes". It is said that ...
the product of the means is equal to the product of the extremes
What are the zeros of the quadratic function f(x)=8^2-16-15
Answer:
put formula a square minus b square
i needs help please
Answer:
Angle of Elevation
If a person is looking up at an object, the angle of elevation is the angle between the horizontal line of sight and the object. Angle of elevation problems can be solved by using trigonometry as the problem can be modeled as a right triangle.
The MIB agent is on the ground looking up at the alien at the top of the CN tower, and we need to find the angle he should shoot his laser gun. Therefore, we need to find the angle of elevation.
Diagram attached, where [tex]x[/tex] is the angle of elevation.
To find the angle of elevation, use the tan trig ratio:
[tex]\tan(x)=\sf \dfrac{O}{A}[/tex]
where:
[tex]x[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleGiven:
O = 553.3 mA = 67 mSubstituting the given values into the formula and solving for x:
[tex]\implies \tan(x)=\sf \dfrac{553.3}{67}[/tex]
[tex]\implies x= \tan^{-1} \left(\sf \dfrac{553.3}{67}\right)[/tex]
[tex]\implies x=83.09557654...^{\circ}[/tex]
Therefore, the angle of elevation is 83° (to the nearest degree).
Which set of rectangular coordinates describes the same location as the
polar coordinates (3-√2.37)?
4
The rectangular coordinates will be (2.999, -0.1239)
What are different Coordinate System ?The Cartesian Coordinate system is not sufficient to locate points in a plane , therefore some other systems like polar coordinates , spherical coordinates , cylindrical coordinate systems are used.
Polar coordinates are given in the question and we need to determine rectangular coordinates for the same.
The equations used to convert from polar coordinates to rectangular coordinates.
x=rcosθ
y=rsinθ
z=z
For the polar coordinates
(3-√2.37)
r = 3
[tex]\rm \theta \\[/tex] = -√2.37
x = 3cos (-√2.37)
x = 3 *0.999
x =2.999
y = 3 sin.(-√2.37)
y = 3*(-0.0413)
y = -0.1239
Therefore the rectangular coordinates will be (2.999, -0.1239)
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Which combined inequality has the same solution set shown in the graph?
Number line ranging from negative sixteen to zero with a line beginning with a close point at negative twelve and continuing to the left without end, and a second line beginning with a closed point at negative five and continuing to the right without end.
a ≤ –12 or a > 5
a ≤ –12 or a > –5
–a ≤ –12 or a > –5
–a ≤ –12 or a < –5
Step-by-step explanation:
there is a problem here. based on your textual description none of the 4 answer possibilities are right.
you said, one line starts with a closed (filled) point at -12 and going to the left (without end). a closed point means the point is included.
so, everything -12 and smaller.
that is a <= -12
the other line starts with a closed (filled) point at -5 and goes to the right without end.
this is a >= -5
so, if your textual description is right, you need an answer option
a <= -12 or a >= -5
FYI
the answer options with -a <= -12 don't make much sense, because that simply means a >= 12. and you don't have any line starting at plus 12 and going to the right.
Salazar assigns the same number of homework questions each school day. The ratio table below shows the total number of homework questions assigned after a certain number of school days.
After 16 days, how many total homework questions have been assigned?
A:60
B:80
C:95
D:115
Answer:
B
Step-by-step explanation:
First, we have to find the rate of change for this problem. To do this, we subtract any two numbers of days and the coordinating two total questions. Let's just use the first two rows. 8-4=4, and 40-20=20. For every 4 days, he answers 20 questions. We can further simplify this by dividing both sides by 4. 4/4=1, and 20/4=5. For every 1 day, he answers 5 questions. Now, to find 16 days, we just multiply both sides by 16. 16*1=16 and 16*5=80. For every 16 days, he answers 80 questions. 80 is our answer.
Hope this helps!
A function, h(x), is defined as shown.
-X - 4, X ≤ 0
4
h(x) =
글 x-3,0 < x≤ 3
2/x-2₁
-X2, X2 4
Which graph represents h(x)?
From the below graph option B is correct.
What is graph function?The graph of a function f is the set of all points in the plane of the form (x, f(x)).
It is also define as the graph of f to be the graph of the equation y = f(x).
Given,
Three different function for h(x)
[tex]\frac{1}{4}x -4 , x \leq 0\\ \\\frac{1}{3} x -3, 0 < x \leq 3\\\\\frac{1}{2} , x\geq 4[/tex]
From the above function,
x ≤ 0, the slope of the graph of h(x) is [tex]\frac{1}{4}[/tex]
0 < x ≤ 3, the slope of the graph of h(x) is [tex]\frac{1}{3}[/tex]
x ≥ 4, the slope of the graph of h(x) is [tex]\frac{1}{2}[/tex]
As we progress from left to right,
The slope of h(x) increases and the slope of the graph becomes steeper.
Therefore,
The graph starts at (4,0) and goes to the right.
Graph is missing in this question, So you might be referring to the one attached.
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Answer:it’s option 2
Step-by-step explanation:
Which property justifies the following if angle A is congruent to angle B and angle b is congruent to angle C then angle a is congruent to angle c
Answer: Transitive property of congruence
22. Which is an expression for the area
of ABC?
Answer:
C
Step-by-step explanation:
the area (A) of the triangle is calculated as
A = [tex]\frac{1}{2}[/tex] product of 2 sides × sin ( angle between the 2 sides )
We are only given 1 side (AC) so require to find AB or BC using the Sine rule
the third angle B = 180° - (48 + 67)° = 180° - 115° = 65°
using the Sine rule to find AB
[tex]\frac{AB}{sin67}[/tex] = [tex]\frac{15}{sin65}[/tex] ( cross- multiply )
AB × sin65° = 15 × sin67° ( divide both sides by sin65° )
AB = [tex]\frac{15sin67}{sin65}[/tex]
Now
A = [tex]\frac{1}{2}[/tex] × AB × AC sin48°
= [tex]\frac{1}{2}[/tex] × [tex]\frac{15sin67}{sin65}[/tex] × 15sin48°
= [tex]\frac{15sin67}{2sin65}[/tex] × 15sin48° → C
Solve the system of equations.
4x - 2y = 8
3x + 4y = 17
A. (2, 0)
B. (7, -1)
C. (3, 2)
D. (4, 4,)
Answer:
The answer is option C
Step-by-step explanation:
The solution is in the image
Answer:
Step-by-step explanation:
8x - 4y = 16
3x + 4y = 17
11x = 33
x = 3
12 - 2y = 8
-2y = -4
y = 2
(3, 2)
answer is C
45 Points!
The moon forms a right triangle with the Earth and the Sun during one of its phases, as shown below.
A scientist measures the angle x and the distance y between the Earth and the Sun. Using complete sentences, explain how the scientist can use only these two measurements to calculate the distance between the moon and
the Sun.
Answer:
by using pythagoras theorem
Step-by-step explanation:
the distance between sun and moon is hypoteneous
the distance between earth and sun is perpndicular
and distance between earth and moon is base
we can use,
tanx°=distance betwwen earth and sun/ distance betweenearth and moon
or,
sinx°= distance between earth and sun/ distance between sun and moon
we can use other formulas also same as above 2 examples
Hope ithelps
Answer:
The scientist can use trigonometry to figure out the distance between the Moon and Sun. More specifically, using sine (sin).
Step-by-step explanation:
Label the triangle first.
- x should be theta
- y would be opposite (o) as it is across/opposite from the side where x is
- the distance between the sun and moon would be hypotenuse (h), as it's opposite of the right angle.
The calculation that has o and h in it's formula is sine. The formula looks like :
Sin(Ф) = [tex]\frac{o}{h}[/tex]
To solve for the distance between the Sun and Moon, we plug it into the formula and solve
Sin(x) = [tex]\frac{d}{y}[/tex]
- where d is the distance between the Sun and Moon
hope this helps !! :D
Elvera Hilton earns $12 an hour at her job. The hours she worked during each of the last four weeks are shown below
Answer:
12x7 4 times add it up u got the anwser
Match the polynomial on the left with the corresponding polynomial on the right.
Add: (3x − 2x² + 4) + (x² - 4x - 5)
-
Find the opposite of: 3x² - x + 1
Subtract: (x² + 3x-4) - (4x-2x²-3)
-3x²+x-1
-x²-x-1
3x²-x-1
3x²+x-1
4x² - 6x 1
The polynomial for the given operation A, B, and C will be (-x²-x-1),(-x²-x-1), and (-x²-x-1).
What exactly is a polynomial?A polynomial is an algebraic statement made up of variables and coefficients.
Variables are sometimes known as unknowns. We can use arithmetic operations like addition, subtraction, and so on. However, the variable is not divisible.
a)Given polynomials;
⇒(3x − 2x² + 4) + (x² - 4x - 5)
⇒− 2x²+x²+3x-4x+4-5
⇒-x²-x-1
b)The opposite of the given polynomial is found by changing the sign in the polynomial as;
⇒3x² - x + 1
⇒(-3x²) -(- x) + (-1)
⇒-3x²+x-1
c)The subtraction operation in the polynomial is found as;
(x² + 3x-4) - (4x-2x²-3)
(x²-2x²)+(+3x-4x)+(-4+3)
-x²-x-1
Hence,the polynomial for the given operation A, B, and C will be (-x²-x-1),(-x²-x-1), and (-x²-x-1).
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One positive number is 5 times another number. The difference between the two numbers is 1432, find the
numbers.
Answer:
358 , 1790
Step-by-step explanation:
need help on how to use percent box
20% of 25
PLEASE HELP ME!!
Use triangle XYZ to answer questions 3-5.
1) Use special right triangles to help find the length of segment XY. What is the exact height of triangle XYZ?
Click the keyboard button to enter your answer.
2)What is the exact area of triangle XYZ? Leave your answer in radical terms.
Click the keyboard button to enter your answer. Show your work.
3)What is the area of triangle XYZ to the nearest tenth of a square in?
The exact height of the triangle is 20.8ft
The area of the right tringle in radical form is 72√3 ft²
The area of the triangle in decimal form is 124.7 ft²
How to find the side and area of a right angle triangle?The side XY or height of the triangle can be found as follows:
Using trigonometric ratios,
tan 60° = XY / 12
XY = 12 tan 60°
XY = 12 × 1.73205080757
XY = 20.7846096908
height = 20.8ft
The area of XYZ = 1 / 2 bh
where
b = baseh = heightTherefore,
The area of XYZ = 1 / 2 × 12 × 20.8 = 124.707658145 = 124.7 ft²
The area in radical form = 1 / 2 × 12 × 12 tan 60°
The area in radical form = 1 / 2 × 12 × 12 × √3 = 144√3 / 2 = 72√3 ft²
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what percent of their gross pay is being withheld
Here is a hexagon.
Work out the value of x.
150°
140°
56°
Answer:
x = 142
Step-by-step explanation:
The sum of the internal angles in a hexagon is 720°
2x° + 150° +56° + 140° +90° = 720
2x° + 436° = 720°
2x° = 720 - 436
x° = [tex]\frac{284}{2} =142[/tex]
Hope this helps
If y varies directly as as x and y=12 when x=4, find y when x=12
Answer:
y=48
Step-by-step explanation:
hi people ~
can you give me eassy on WORLD AGAINST CHILD LABOUR I need 80 word I already write this but I want 80 word more please give me your own choice on WORLD AGAINST CHILD LABOUR thnks
Child labor is a service rendered by children in any field during their childhood. This is done due to lack of resources for subsistence, irresponsibility of the parents or lack of resources by the owner to increase their returns on low investment.
This does not matter with the cause of child labor as all the reasons force children to live life without childhood. Childhood is the greatest and happiest period of everyone’s life, during which one learns about the basic strategy of life from parents, loved ones and nature. Child labor interferes with the proper growth and development of children in all aspects, mentally, physically, socially and intellectually.
☆...hope this helps...☆
_♡_mashi_♡_
Identify the exponent and the base in the following term [tex]8^{4}[/tex] then simplify.
base =
exponent =
The simplified result is =
XD
Question 4 of 21
What is the value of f(4) in the function below?
f(x) = 1/2 • 2x
Answer:
same rin tayo ganyan rin akin ang hirap
Step-by-step explanation:
good evening po
2/
For all values of x,
f(x)=2x-3
and
a) Find fg(x).
Simplify and give your answer in the form ax² + b
b) Find gf(x).
Simplify and give your answer in the form ax² + bx + c
g(x) = x² + 1
Answer:
2/
For all values of x,
f(x)=2x-3
and
a) Find fg(x).
Simplify and give your answer in the form ax² + b
b) Find gf(x).
Simplify and give your answer in the form ax² + bx + c
g(x) = x² + 1
Step-by-step explanation:
A face of a solid is
any one of the flat surfaces of a prism or a pyramid.
a pattern of two-dimensional shapes that can be folded to form a solid figure.
a solid figure with a base that is a polygon and sides that are triangles that meet at the top.
the total area of the surface of a solid figure.
A face of solid is given by
any one of the flat surfaces of a prism or a pyramid. a pattern of two-dimensional shapes that can be folded to form a solid figure.What is faces?" Faces are defined as the flat surfaces of any object enclosed by its edges or sides . It is always 2-dimensional."
According to the question,
A face of a solid,
any one of the flat surfaces of a prism or a pyramid : Any one of the flat surfaces prism and pyramid represents two dimensional shape.It is a correct answer.
a pattern of two-dimensional shapes that can be folded to form a solid figure : Represents two dimensional and face of a solid is two dimensional .It is a correct answer.
polygon and sides that are triangles that meet at the top: represents three dimensional shape.It is not a correct answer.
the total area of the surface of a solid figure: represents three dimensional shape.It is not a correct answer.
Hence, a face of solid is given by
any one of the flat surfaces of a prism or a pyramid. a pattern of two-dimensional shapes that can be folded to form a solid figure.Learn more about faces here
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Answer:
the second one
Step-by-step explanation:
WHAT IS THE VALUE OF X ?
NEED THIS ANSWER QUICK!!
Answer:
8.5
Step-by-step explanation:
24x = 17 ×12
24×= 204
divide each side to get your awnser.
What is the symbolic representation for this argument?
If a polygon has exactly three sides, then it is a triangle.
Jeri drew a polygon with exactly three sides.
Therefore, Jeri drew a triangle.
The symbolic representation for this argument is that Jeri drew a polygon with exactly three sides.
What is a polygon?A polygon is a plane figure with at least three straight sides and angles, typically five or more.
In this case, the symbolic representation for this argument is that Jeri drew a polygon with exactly three sides.
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Answer:d
Step-by-step explanation:
I don’t know but I got it right:)
Isabel’s competition who sells books and no other products, charges a shipping fee of $1.99 per book plus a fixed fee of $3 for each order. Let x be the number of books purchased and f(x) be the price of shipping one order of books. Write a function that expresses f(x) and explain the value of f(x) for x = 0. Graph the function in part e. Is your graph discrete or continuous? Explain.
Answer:
x= 1.99
f(x) = 1.99x + 3
Step-by-step explanation:
Hope this helps! (;
EGG DROP The physics class is holding an egg drop competition. The formula h= −16t2+h0 can be used to approximate the number of seconds, t, it will take for the eggs to reach height, h, from an initial height of h0 in feet.
Find the time it takes an egg to reach the ground if it is dropped from an initial height of 40 feet. Round to the nearest hundredth, if necessary.
By solving a quadratic equation we will see that the egg will hit the ground after 1.58 seconds.
How long will take the egg to reach the ground?
Here we know that the initial height of the egg is 40ft, so the equation for the height will be:
[tex]h(t) = -16*t^2 + 40[/tex]
The egg will hit the ground when h(t) = 0, so we need to solve the quadratic equation:
[tex]h(t) = -16*t^2 + 40 = 0\\\\16t^2 = 40\\\\t^2 = 40/16\\\\t = \sqrt{40/16} = 1.58[/tex]
This means that the egg will hit the ground after 1.58 seconds.
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I NEED THIS NOW PLSSSSS
In terms of the number of moose, what is the relative frequency of male moose, female moose, adult moose, and baby moose? Write your answers as simplified fractions.
Elk Mountain Goat Deer Moose
Male 105 71 42 52
Female 120 93 63 34
Adult 173 103 72 58
Baby 52 61 33 28
The relative frequencies for the given table are:
Male → 13/44Female → 17/86Adult → 29/86Baby → 7/43How to get the relative frequencies?
The relative frequency of a given element out of a set, is given by the quotient between the number of that element and the total number of the set.
Here we can see that the total number of moose is:
52 + 34 + 58 + 28 = 172
There are 52 male moose, then the relative frequency for male moose is:
M = 52/172 = 26/86 = 13/44
There are 34 female moose, then the relative frequency is:
F = 34/172 = 17/86
There are 58 adult moose, so the relative frequency is:
A = 58/172 = 29/86
There are 28 baby moose, so the relative frequency is:
B = 28/172 = 14/86 = 7/43
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Which data set could be represented by the box plot shown below?
Answer:
B
Step-by-step explanation:
A box and whisker plot is a graphical representation of the 5-number summary of a data set. It shows the minimum, maximum, median, and the values of the 1st and 3rd quartiles. Here, you're asked to identify the data set having the same 5-number summary as that shown in the plot.
__
extremesThe minimum of the data set is shown by the end of the left "whisker." The plot shows a minimum value of 41. Choice C has a minimum of 40, so is not the data set we're looking for.
The maximum of the data set is shown by the end of the right whisker. The plot shows a maximum of 50, matching all of the answer choices shown.
medianThe median of the data set is shown by the vertical line in the middle of the box. Here, the median of the data set is indicated as 44. This will be the middle value, or the average of the two middle values of the set of data.
These sets of data have 10 values, an even number, so the median is the average of the middle two.
Choices A and B have a middle pair of 43 and 45, which means their median is (43+45)/2 = 44. Choice D has a middle pair of 43 and 47, so a median of (43+47)/2 = 45. Choice D is not the data set we're looking for.
quartilesThe 1st and 3rd quartiles of the data set are shown by the left and right ends of the box, respectively. They are indicated as being 43 and 48.
The median divides the data set into two parts. It is not considered to be a member of either part. The 1st quartile is the median of the lower (left) part. The 3rd quartile is the median of the upper (right) part.
Here, each part has 5 data values, so the quartile values are 3rd from the ends of the data set. In choice A, they are 43 and 49, not a match to the given plot. In choice B, they are 43 and 48, matching the values in the given box plot.
The data set in choice B could be represented by the box plot shown.