Answer:
mean of data is 141.2
Step-by-step explanation:
mean of data = sum of data / no of data
=98 + 208 + 189 + 94 + 117 / 5
=706 / 5
=141.2
Answer:
141.2Step-by-step explanation:
98 + 208 +189 +94 +1117 =709
706/5 = 141.2
Hope this helps!
Here is a table of values for y = f(x).
Х
-2 -1 0 1 2 3
4.
5
6
f(x) 5
6 7 8 9 10 11 12 13
Mark the statements that are true.
Step-by-step explanation:
the true answers are:
A. f(-1)=6
D. the domain for f(x) is the set
{-2,-1,0,1,2,3,4,5,6}
(View attachment)
a) Write ordered pairs.
b) Write the domain and range.
c) Why isn't the relation a function?
d) Which ordered pair should be removed to make the relation a function?
Answer:
in a relationship that maps elements from one set (the inputs) into elements from another set (the outputs), the usual notation for the ordered pairs is:
(x, y), where x is the input and y is the output.
In this case, the point where the arrow starts is the input, and where the arrow ends is the output.
a)
The ordered pairs are:
(28, 93)
(17, 126)
(52, 187)
(34, 108)
(34, 187)
b) The domain is the set of the inputs, in this case the domain is the set where all the arrows start, then the domain is:
{17, 28, 34, 52}
And the range is the set of the outputs, in this case the range is:
{93, 108, 126, 187}
c) A function is a relationship where the elements from the domain, the inputs, can be mapped into only one element from the range.
In this case, we can see that the input {34} is being mapped into two different outputs, then this is not a function.
d) We can remove one of the two ordered pairs where the input is {34},
So for example, we could remove:
(34, 108)
And then the relation would be a function.
please help show steps thx
Answer:
1) P = 282m, A = 141m^2
2) P = 82.4in, A = 40in^2
3) P = 62.7m, A = 73.1m^2
Step-by-step explanation:
1) top:L=12m, W=3m, mid: l= 12m, w= 12-7 = 5m, bot: l=15m, w=3m
Perimeter= 2(lw)
P = 2(12x3) + 2(12x5) + 2(15x3)
P = 2(36) + 2(60) + 2(45)
P = 72 + 120 + 90
P = 282m
Area= lw
A = (12x3) + (12x5) + (15x3)
A = 36 + 60 + 45
A = 141m^2
2) Rectangle:l=7in, w=5in, Right Triangle:a=5-3=2in, b=12-7=5in
Perimeter= 2(lw) + (a+b+sqrt(a^2+b^2))
P = 2(7x5) + (2+5+sqrt(2^2+5^2))
P = 70 + 12.39
P = 82.4in
Area= lw + ((ab)/2)
A = (7x5) + ((2x5)/2)
A = 35 + 5
A = 40in^2
3) Semi-Circle: d=8m, r=8/2=4m, Right Triangle: a=8m, b=12m
Perimeter= pid + (a+b+sqrt(a^2+b^2))
P = 9pi + (8+12+sqrt(8^2+12^2))
P = 28.27 + 34.42
P = 62.7m
Area= (1/2)pir^2 + ((ab)/2)
A = (1/2)pir^2 + ((ab)/2)
A = (1/2)pi(4)^2 + ((8x12)/2)
A = 25.13 + 48
A = 73.1m^2
What is the equation, in point-slope form, of the line that
is perpendicular to the given line and passes through the
point (-4,-3)?
Answer:
Step-by-step explanation:
We first need to find the slope of the line that is graphed. We can wither use the slope formula or you can use the slope triangle. From the upper point on the line (-1, 1) count down til you're on the same horizontal as the lower point on the line (0, -3). You have to count down 4 (which is -4) and over to the right 1 (which is +1). So -4/+1 = -4 and the slope is -4. That means that the perpendicular slope, the opposite reciprocal of that, is 1/4. Using that slope and the point (-4, -3), the point-slope form of the line is
[tex]y-(-3)=\frac{1}{4}(x-(-4))[/tex] which we can simplify a bit to
[tex]y+3=\frac{1}{4}(x+4)[/tex]. That's the line in point-slope form.
Consider the graph below: Point T(-2; 3) is a point on the Cartesian Plane such that B is the angle of inclination of OT. T(-2;3) у х 2.1 Calculate the following without the use of a calculator: a) tanſ b) 13 sin B.cosB (2)
Answer:
(a) - 3/2
(b) - 78/25
Step-by-step explanation:
According to the trigonometry, the tangent of any angle is the ratio of rise to the run of the right angle triangle .
The sine of an angle is the ratio of rise to the hypotenuse of the right angle triangle.
The cosine of an angle is the ratio of run to the hypotenuse of the right angle triangle.
(a)
[tex]tan\beta = \frac{3}{-2} = \frac{-3}{2}[/tex]
(b)
[tex]13 sin\beta cos \beta = 13\times \frac{3}{\sqrt{3^2+2^2}}\times\frac{-2}{\sqrt{3^2+2^2}}\\\\13 sin\beta cos\beta = \frac{- 78}{25}[/tex]
3 3/4 × 2 2/9 please
Help ♀️♀️♀️
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: 8 \frac{1}{3}\:(or) \:8.333}}}}}}[/tex]
[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]
[tex]3 \frac{3}{4} \times 2 \frac{2}{9} [/tex]
➺[tex] \: \frac{15}{4} \times \frac{20}{9} [/tex]
➺[tex] \: \frac{300}{36} [/tex]
➺[tex] \: \frac{25}{3} [/tex]
➺[tex] \: 8 \frac{1}{3} [/tex]
➺[tex] \: 8.333[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\pink{Mystique35 }}{\orange{❦}}}}}[/tex]
The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 2, 9), and goes through (1, 0). Which statement about the function is true? The domain of the function is all real numbers less than or equal to −2. The domain of the function is all real numbers less than or equal to 9. The range of the function is all real numbers less than or equal to −2. The range of the function is all real numbers less than or equal to 9.
Answer:
D
Step-by-step explanation:
We have the quadratic function:
[tex]f(x)=-x^2-4x+5[/tex]
First, the domain of all quadratics is always all real numbers unless otherwise specified. You can let x be any number and the function will be defined.
So, we can eliminate choices A and B.
Note that since the leading coefficient is negative, the parabola will be curved downwards. Therefore, it will have a maximum value. This maximum value is determined by its vertex, which is (-2, 9).
Since it is curving downwards, the maximum value of the parabola is y = 9. It will never exceed this value. Therefore, the range or the set of y-value possible is always equal to or less than 9.
So, the range of the function is all real numbers less than or equal to 9.
Our answer is D.
It is not C because the maximum value is dependent on y and not x.
The relationship between the amounts of blue
and red paint needed to make a certain shade
of purple is shown in the following graph.
10+
9+
8+
7
6
Liters of red paint
5+
4+
3+
2
1
→
3
1
2
Liters of blue paint
Which statements about the graph are true?
Choose all answers that apply:
Answer:
B
Step-by-step explanation:
Had it on Khan Academy.
True statement for the given graph is the point [tex](3,9)[/tex] shows that [tex]9[/tex] liters of red paint are needed for every [tex]3[/tex] liters of blue paint.
What is graph?
" Graph is defined as diametrical representation of the relation between the variables on the coordinate plane along x-axis and y -axis."
According to the question,
As given in the graph,
Graph represents the linear relation between red paint and blue paint.
'x -axis' on the graph represents the blue paint
'y- axis' on the graph represents red paint
A. The point [tex](0,0)[/tex] shows that any amount of red and the blue paint will make same shade of purple.
From the graph coordinates [tex](1,3)[/tex] and [tex](2, 6)[/tex]represents that proportion of blue : red to make required purple shade is [tex]1: 3[/tex].
Hence, Option A is not a correct answer.
B. The point [tex](3,9)[/tex] shows that [tex]9[/tex] liters of red paint are needed for every [tex]3[/tex] liters of blue paint.
Coordinate [tex]( 3,9)[/tex] on the graph represents the ratio of blue : red [tex]= 3 : 9[/tex] which is equals to [tex]1:3[/tex] .
Hence, Option(B) is the correct answer.
Learn more about graph here
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Which expression is equivalent to 4p^-4 10q -3? Assume
Step-by-step explanation:
Derive an expression for the equivalent width in a saturated line. Assume a Voigt profile, with the difference in optical depth between the center of the line and the wings being ~104. The wings of the line can be ignored. Define a frequency x1 = (v1 − v0)/ΔvD, where the optical depth τv = 1. Inside of x1 the line is fully saturated, and outside x1 the line is optically thin. Show that the equivalent width is

Note that the equivalent width is practically insensitive to the number density of absorbing material.
in which quadrant or axis will the poit lie if...
Step-by-step explanation:
a.fourth quadrent
b.third quadrent.
A.54 pie cm^3
B.72 pie cm^3
C.126 pie cm^3
D.378 pie cm^3
==========================================================
Explanation:
The radius of each sphere is r = 3
The volume of one sphere is
V = (4/3)*pi*r^3
V = (4/3)*pi*3^3
V = 36pi
That's the volume of one sphere.
Three spheres take up 3*36pi = 108pi cm^3 of space.
---------------------------
The radius of the cylinder is also r = 3, since each tennis ball fits perfectly in the container.
The height is h = 18 because we have each ball with a diameter 6, which leads to the three of them stacking to 3*6 = 18.
The volume of the cylinder is...
V = pi*r^2*h
V = pi*3^2*18
V = 162pi
-------------------------
Subtract the volume of the cylinder and the combined volume of the spheres: 162pi - 108pi = (162-108)pi = 54pi
This is the exact volume of empty space inside the can.
This points to choice A as the final answer
The graph shows the relationship between the number of hours that Michelle has been driving and the distance that she has left to travel to get to her destination.
A graph on a coordinate plane titled Distance Remaining Over Time. The x-axis is labeled time (in hours), numbered 1 to 8, and the y-axis is labeled miles to destination, numbered 50 to 400. A straight line with a negative slope starts at point (0, 350) and ends at point (7, 0).
Which statement is true?
It took Michelle 6 hours to complete the trip.
For each hour that Michelle drove, she traveled an additional 50 miles.
In the first 6 hours, Michelle had traveled a total of 50 miles.
In the first 3 hours, Michelle had traveled a total of 200 mile\
Answer:
(b) For each hour that Michelle drove, she traveled an additional 50 miles.
Step-by-step explanation:
Given
[tex](x_1,y_1) = (0,350)[/tex] ---- start
[tex](x_2,y_2) = (7,0)[/tex] --- end
Required
Which is true
(a): Journey = 6 hours
This is false, because:
[tex]x = x_2 - x_1[/tex]
[tex]x = 7-0[/tex]
[tex]x = 7[/tex] ---- 7 hours
(b): The average rate is 50 miles per hour
To do this, we calculate the slope (m) using:
[tex]m = \frac{y_2 -y_1}{x_2- x_1}[/tex]
[tex]m = \frac{0 - 350}{7-0}[/tex]
[tex]m = -\frac{350}{7}[/tex]
[tex]m = -50[/tex]
This means that the rate is 50 miles driven in 1 hour.
(b) is correct
Others are incorrect
Answer:
B
Step-by-step explanation:
I did it
Which angles are supplementary to 24? Select all that apply.
Answer:
<2, <3, <6, <7
Step-by-step explanation:
Supplementary to <4 means that, <4 and that angle equals 180. So we will move angle by angle.
<1 = Is not supplementary because both are virtually opposite angle and virtually opposite angles are equal.
<2 = Is supplementary angle because it is a vertical linear pair with <4.
<3 = Is supplementary angle because it is horizontal linear pair with <4
<5 = Is not supplementary angle because they are alternate interior angles and alternate angles are equal.
<6 = Is supplementary because angles on the same side and same interior/exterior are supplementary. (By interior/exterior, I meant that they have to be either interior or exterior. No both)You can also use the reason that 6 and 2 are corresponding angles, and corresponding angles are equal. So, if 2 is supplementary to 4, then 6 is also supplementary to 4. I think the latter is better than the first.
<7 = Is supplementary because it is vertically opposite to 6 and 6 is supplementary, so 7 is also supplementary.
<8 = Not supplementary. Because 4 and 8 are corresponding angles and corresponding angles are not equal. And also 8 is equal to 5. And 5 is not supplementary to 4. That means 8 is also not.
Ugh... I really hope u understand, and don't think that I am blabbering.
Thank You
Please mark me as the brainliest
please help meeeee!!
Step-by-step explanation:
[tex]\begin{aligned} -5x+4y &= 3\\\\ x&=2y-15 \end{aligned}[/tex]
PLEASE HELP!
Determine which of the following lists is in order from smallest to largest.
1. -3,131,0, (-3)^2
2. (-3)^2,-3,0, |3|
3. -3,0,|3|, (-3)^2
4. 0,-3,|3|, (-3)^2
Answer:
3. -3,0,|3|, (-3)^2
Step-by-step explanation:
Answer:
answer would be option 3
Step-by-step explanation:
help this helps
If l=10, b=5, h=2, find the values of 2h(l+b)
Answer:
60
Step-by-step explanation:
given:
l = 10
b = 5
h = 2
to find:
2h(l + b)
substitute the given values of l , b and h
=2*2(10 + 5)
=4*15
=60
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{2h(l + b)}[/tex]
[tex]\large\text{If l = 10, b = 5, and h = 2, then substitute it into the equation!}[/tex]
[tex]\large\textsf{= 2(2)((10)+ 5)}[/tex]
[tex]\large\textsf{2(2) = \boxed{\bf 4}}[/tex]
[tex]\large\textsf{= 4(10 + 5)}[/tex]
[tex]\large\textsf{10 + 5 = \boxed{\bf 15}}[/tex]
[tex]\large\textsf{4(15)}[/tex]
[tex]\large\textsf{= \boxed{\bf 60}}[/tex]
[tex]\boxed{\boxed{\huge\text{Answer: \textst \bf 60}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Bryan is sitting on a bench in the mall. He noticed that 18 out of the last 60 men who walked by had a beard . Considering this data how many of the next 90 men who walk by should Bryan expect to have a beard?
Answer:
27
Step-by-step explanation:
every 30 men = 9 men with beards
you have 30 3 times in 90 so you get 27
60÷2=30
18÷2=9
30 men normal = 9 men with beards
90÷30=3
3×9=27
( 0 , -1 ) , ( 1,3)
Which equation is satisfied by BOTH of these pairs of numbers ( x , y ) ?
A. x + y = -1
B. 2x + y = 5
C. 3x - y = 0
D. 4x - y = 1
Answer:
D 4x-y=1
Step-by-step explanation:
4x-y=1. (x=0 ,y= -1)
4(0)-(-1)= 1
0+1= 1
4x-y=1 (x=1 y=3)
4(1)-3=1
4-3=1
What is the value of (-3 + 31) + (-2+31)?
Answer:
57
Step-by-step explanation:
31-3=28
31-2=29
28+29=57
which equation is the inverse of 5y+4=(×+3)^2+1/2?
Answer:
The inverse is -3 ±sqrt(5x+7/2)
Step-by-step explanation:
5y+4=(x+3)^2+1/2?
To find the inverse, exchange x and y
5x+4=(y+3)^2+1/2
Solve for y
Subtract 1/2
5x+4 -1/2=(y+3)^2+1/2-1/2
5x+8/2 -1/2=(y+3)^2+1/2-1/2
5x+7/2 = (y+3)^2
Take the square root of each side
±sqrt(5x+7/2) =sqrt( (y+3)^2)
±sqrt(5x+7/2) = (y+3)
Subtract 3 from each side
-3 ±sqrt(5x+7/2) = y+3-3
-3 ±sqrt(5x+7/2) = y
The inverse is -3 ±sqrt(5x+7/2)
9x5
pls help meeeeeeeeee
Answer:
45
hope this helps
Answer:
45
Step-by-step explanation:
9x5=45
Type the correct answer in the box. Use numerals instead of words. Tony bought a new car at a cost of $20,000. The value of the car decreases by approximately 12% each year. Formulate the equation that gives the value, A(+), of the car xyears since Tony bought the car. A(t)-
9514 1404 393
Answer:
A(x) = 20000(0.88)^x
Step-by-step explanation:
The general form of these exponential equations is ...
A(x) = a·b^x
where 'a' is the initial value, and b is the annual growth factor. x is the elapsed time in years.
The growth factor is ...
growth factor = 1 + growth rate
Here, the growth rate per year is -12%, so the growth factor is ...
b = 1 -12% = 88% = 0.88
Of course, the initial value is a=20,000, so the equation is ...
A(x) = 20000(0.88)^x
Which linear inequality is represented by the graph?
O y < 3x + 2
Oy> 3x + 2
Oy< 1/3x + 2
O y>1/3x+2
Answer:
[tex]y> 3x + 2[/tex]
Step-by-step explanation:
Hope it is helpful....
The linear inequality that represents the given graph is y > 3x + 2.
The solutions to the graph of the inequalities is given as;
(x, y) = (0, 2)
(x, y) = (-3, -7)
To determine the inequality represented in the graph;
Using option A, when x = 0, y < 2 (this is not same as the graph)Using option B, when x = 0, y > 2 ( same as the graph)Using option B, when x = -3, y > -7Thus, the linear inequality that represents the given graph is y > 3x + 2.
Learn more about graphs of linear inequality here: https://brainly.com/question/371134
Is it true or false that for all sets A, B, and C, A U (B - C) = (A U B) - C?
Answer:yes
Step-by-step explanation:66
The given statement A U (B - C) = (A U B) - C is true.
What is a set ?A set is collection of well defined objects.
According to the given question we have to state whether A ∪ ( B - C ) = ( A ∪ B ) - C.
Lets consider we have three sets A, B and C and we also consider they intersect each other.
( B - C ) represents the elements which belongs to B but not in C.
∴ A ∪ ( B - C ) represents the no. of elements which belongs to the set B but not in C union the no. of elements which belongs to A.
AND
( A ∪ B ) - C represents no. of elements which belongs to A or B but not in C.
learn more about sets here :
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work out the value of 6.8x10^2 x 1.3x10^-3
Answer:
0.884
Step-by-step explanation:
just use a calculator
If a total of 360 students were involved in the evening's activities, how many students attend the school?
fill in the blanks the 2 digit largest whole number is______
differentiate loge(x/x^2+7)
Answer:
1+1=11 2+2=22 ok na yan kuya or ate
How do I factor this equation fully?
Find the area of the figure below (Do Not put the units in your answer)
Answer:
54
Step-by-step explanation:
Area of rhombus= (12×9) ÷2
