Find the median of the following data 8,6,10,12,14
Answer:
10
Step-by-step explanation:
medium is the number in the middle when all numbers are arranged in ascending order.
Answer:
10
Step-by-step explanation:
first arrange the data from ascending to descending order.
data = 6,8,10,12,14
median = N +1/2 (N means no of data)
=5 + 1/2
=6/2
=3 th term
=10
therefore median is 10
point to remember : if u are are to find the first quartile , median , or third quartile then u should arrange the data from ascending to descending order .
Jaclyn used the slope formula to find the slope of the line through the points given in the table.
A 2-column table with 2 rows. Column 1 is labeled x with entries 0, negative 3. Column 2 is labeled y with entries 4, 0.
1. Point 1: (0, 4); Point 2: (negative 3, 0). 2. Slope = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction = StartFraction 0 minus 4 Over negative 3 minus 0 EndFraction = StartFraction negative 4 Over negative 3 EndFraction. 3. Slope = four-thirds.
In which step did Jaclyn make an error?
Answer: She didn't make an error.
Step-by-step explanation:
She just didn't I got it right.
Answer:
answer is D
Step-by-step explanation:
It is observed that a certain bacteria culture has a relative growth rate of 14% per hour, but in the presence of an antibiotic the relative growth rate is reduced to 5% per hour. The initial number of bacteria in the culture is 25. Find the projected population after 24 hours for the following conditions. (Round your answers to the nearest whole number.) (a) No antibiotic is present, so the relative growth rate is 14%.
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Answer:
24 hours for the following conditions. (Round your answers to the nearest whole number.) (a) No antibiotic is
Answer two questions about Equations A and B:
A. 3x – 1= 7
B. Зx=8
1) How can we get Equation B from Equation A?
Answer:
1. c) Add/ Subtract the same quantity to/from both sides
2) Yes
Step-by-step explanation:
Answer two questions about Equations A and B:
A. 3x – 1= 7
B. Зx = 8
1) To get Equation B from Equation A we need to take the following steps
A. 3x – 1 = 7
We add one to both sides
3x - 1 + 1 = 7 + 1
3x - 0 = 8
3x = 8
Option c is the correct option.
2) We are given Equations:
A. 3x – 1= 7
B. Зx = 8
3x - 1 = 7 = 3x = 8
3x = 7 + 1 = 3x = 8
3x = 8 = 3x = 8
Therefore, we can say, Yes, Equation A is equivalent to Equation B, hence they have the same solution.
44
Match each ratio with its simplest form.
12:15
20:36
18:24
Pls answer ASAP I need to finish this today and I’m stuck
which of the two rational numbers 3/5 and -2/3 is greater
What is the difference between the ordinates of the points ( -2 , 3 ) and ( 5, 8 ) ?
Answer:
the difference in the coordinate points is (7, 5)
Step-by-step explanation:
Given;
first coordinate point, (x₁, y₁) = (-2, 3)
second coordinate point, (x₂, y₂) = (5, 8)
The difference in the coordinate points is calculated as follows;
Δ(x, y) = (x₂ - x₁, y₂ - y₁)
= (5 - -2, 8 - 3)
= (7, 5)
Therefore, the difference in the coordinate points is (7, 5)
The cost charged for each burger, c, at Bobby's Burger Palace is based on the cost of a plain burger plus an additional charge for each topping t. C=0.95t+3.95
Answer:
[tex]C'(t) = \frac{t-3.95}{0.95}[/tex]
Step-by-step explanation:
Given
[tex]C=0.95t+3.95[/tex]
Required
The inverse function
[tex]C=0.95t+3.95[/tex]
Swap C and t
[tex]t=0.95C+3.95[/tex]
Make C the subject
[tex]0.95C = t - 3.95[/tex]
Divide by 0.95
[tex]C = \frac{t}{0.95} - \frac{3.95}{0.95}[/tex]
Hence, the inverse function is:
[tex]C'(t) = \frac{t}{0.95} - \frac{3.95}{0.95}[/tex]
or
[tex]C'(t) = \frac{t-3.95}{0.95}[/tex]
factorise the following (a+b)⁴-(a-b)⁴
Answer:
hope it is helpful to you
this is another answer
sorry for bad handwriting
actually its my sista handwriting
Someone pls help me ill give out brainliest pls don’t answer if you don’t know
Answer:
B
Step-by-step explanation:
√256=16
√289=17
Answer:
b.√256 and √289 . play basketball
If cos theta = 0.8, find 1 / sin (pi/2 - theta)
Answer:
J
Step-by-step explanation:
Using the cofunction identity
cosθ = sin([tex]\frac{\pi }{2}[/tex] - θ )
Then
[tex]\frac{1}{sin(\frac{\pi }{2}-0) }[/tex]
= [tex]\frac{1}{cos0}[/tex]
= [tex]\frac{1}{0.8}[/tex]
= 1.25 → J
The value of 1/sin([tex]\frac{\pi }{2}[/tex] - θ) is 1.25.
What are four quadrants of trigonometry?The coordinate axes divide the plane into four quadrants, labelled first, second, third and fourth as shown. Angles in the third quadrant, for example, lie between 180 degrees and 270 degrees.
Given
1/cosθ = 0.8
1/sin([tex]\frac{\pi }{2}[/tex] - θ) =?
By using quadrants in trigonometry
we know that sin([tex]\frac{\pi }{2}[/tex] - θ) = cosθ
= 1/sin([tex]\frac{\pi }{2}[/tex] - θ)
= 1/cosθ
= 1/0.8
= 1.25
1/sin([tex]\frac{\pi }{2}[/tex] - θ) = 1.25
Hence, the value of 1/sin([tex]\frac{\pi }{2}[/tex] - θ) is 1.25.
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A rock is thrown down with a velocity of 20 feet per second from a hot air balloon that is 220 feet above the ground. How long will it take for the rock to reach the ground?
Answer:
It takes the rock approximately 4.96 seconds to reach the ground
Step-by-step explanation:
The given parameters of the rock thrown down from the hot air balloon are;
The (initial) downward velocity with which the rock was thrown down, u = 20 feet/second
The height of the balloon when the rock was thrown down, h = 220 feet
According to the kinetic equation of motion, we have;
h = u·t + (1/2)·g·t²
Where;
h = The height of the rock when it was thrown = 220 ft.
u = The initial velocity of the rock = 20 ft./s
g = The acceleration due to gravity acting on the rock = 9.81 m/s²
t = How long it takes the rock to reach the ground
Plugging in the values gives;
220 = 20·t + (1/2)×9.81×t²
4.905·t² + 20·t - 220 = 0
Therefore;
t = (-20 ± √(20² - 4×4.905×(-220)))/(2 × 4.905)
t ≈ 4.96, or t ≈ -9.04
Therefore, the time it takes the rock to reach the ground, t ≈ 4.96 seconds.
3/4x + 12 =48 what is the value of ' x '
Answer:
3/4x + 12 =48
3/4x=36
x=48
The tennis courts are 3 blocks west and 2 blocks south of Miguel’s house. The bike path is 5 blocks east and 2 blocks south of Miguel’s house. How many blocks are the tennis courts from the bike path?
Answer:
8
Step-by-step explanation:
If Miguel's house is (0,0), then the tennis court is (-3,-2), and the bike path is (5,-2). There fore, we can just count the squares between the tennis court and the bike path, which is 8.
Hope that this helps!
From the coordinate calculation, here tennis courts are 8 blocks far from the bike path.
Given that,
The tennis courts are 3 blocks west and 2 blocks south of Miguel’s house. The bike path is 5 blocks east and 2 blocks south of Miguel’s house. How many blocks are the tennis courts from the bike path is to be detemined.
Coordinate, is represented as the values on the x-axis and the y-axis of the graph.
Here on the graph,
Assume that Miguel's house is (0,0),
then accoding to the question the tennis court is (-3,-2), and the bike path is (5,-2).
Now, difference in the position dx = 5 - (-3)
= 8
Thus, from the coordinate calculation, here tennis courts are 8 blocks far from the bike path.
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2) Simplify: 4/3+3/5+-3/5+-11/3
Answer:
[tex]\frac{4}{3}+\frac{3}{5}+-\frac{3}{5}+-\frac{11}{3}[/tex][tex]=\frac{4}{3}-\frac{11}{3}[/tex][tex]\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex][tex]=\frac{4-11}{3}[/tex][tex]\:4-11=-7[/tex][tex]=\frac{-7}{3}[/tex][tex]\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}[/tex][tex]\frac{-a}{b}=-\frac{a}{b}[/tex][tex]\frac{-7}{3}[/tex][tex]=-\frac{7}{3}[/tex]---------------------[tex]\boxed{\boxed{\underline{\textsf{\textbf{hope it helps}}}}}[/tex][tex]\boxed{\boxed{\underline{\textsf{\textbf{have a great day!}}}}}[/tex]Point G is located at (6, 2) on the coordinate plane. Point G is reflected over the y -axis to create point G^ prime . What ordered pair describes the location of G?
Answer:
The ordered pair that best describes the location of G' is (-6,2).
Step-by-step explanation:
Reflecting a point over the y-axis:
When a point (x,y) is reflected over the y-axis, it's x coordinate is multiplied by -1, while the y-coordinate stays the same. Thus:
(x,y) -> (-x,y).
Point G is located at (6, 2)
When reflected over the y-axis:
G'(-6,2).
The ordered pair that best describes the location of G' is (-6,2).
Which choice is equivalent to the expression? please help!
the answer is option e. *answer needs to be 20 characters long this should do :)
Which is equivalent to
1/4x
Answer:
1/4x is basically x divided by 4/multiplied by 1/4
this can be applied in examples such as:
1/4(2) = 0.5
etc.
Step-by-step explanation:
i hope this helped, if not, please leave a comment specifically requiring what exactly you are stuck with.
Answer:
1/8x+1/8x
Step-by-step explanation:
PLEASE HELP!!! Correct answer get a brainliest
Answer:
x = 17, x = 112, x = 100
Step-by-step explanation:
First problem:
From what I can see, there is a 90º angle present. When you subtract 73 from 90, you get 17, so x is 17.
Second problem:
x and 112 are vertical angles. "Vertical angle theorem, no matter how you throw your skewers or pencils so that they cross, or how two intersecting lines cross, vertical angles will always be congruent, or equal to each other." - https://tutors.com/math-tutors/geometry-help/vertical-angles
Third problem:
The base is a straight, horizontal line, which means that it is 180º. Subtract 80 from 180, you get 100. Therefore, x is 100.
Question 3 of 10
In the diagram below, Ed is parallel to Xy. What is the value of x?
The value of y will be 75°. The correct option is C.
What are lines and angles?Straight lines with little depth or width are present. You will learn about a number of lines, including transversal, intersecting, and perpendicular lines.
A figure called an angle is one in which two rays originate from the same point. In this area, you could also encounter contrasting and related viewpoints.
Given that the two parallel lines are DE and XY. The angle y will be calculated as,
y = 180 - 105
y = 75°
Hence, the measure of the angle y is 75°
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Multiply. ( 4x+3)(4x-3)
Answer:
[tex]16^{2} - 9[/tex]
Step-by-step explanation:
[tex](4x + 3)(4x - 3)[/tex]
Step 1: Multiply [tex]4x[/tex] to [tex](4x - 3)[/tex], you get, [tex]16x^2 -12x[/tex]
Step 2: Multiply [tex]3[/tex] to [tex](4x - 3)[/tex], you get, [tex]12x - 9[/tex]
[tex]16x^2 - 12x +12x - 9[/tex]
Step 3: add or subtract the numbers with the same variables together
[tex]16x^2 - 9[/tex] is your final answer
The expression simplified after the multiplication is 16x² - 9.
What is an algebraic expression?In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression. The multiplication of (a+b) and (a-b) is given by:
(a+b)(a-b) = a² - b².
The given expression is (4x + 3)(4x-3).
Simplify the expression:
(4x + 3)(4x-3)
= 16x² - 9
Hence, the expression simplified after the multiplication is 16x² - 9.
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3 / 1/3 dividend by 1 / 1/5
2x-5y=-3
5x+2y=6
Is this a perpendicular lines ?
Perpendiculat Line is when both slopes of equation multiplying each others and equal to -1.
[tex] \large \boxed{m_1m_2 = - 1}[/tex]
For an easier way to understand, a perpendicular line has a negative reciprocal slope. For example if we are given the equation of y = 2x then the equation that is perpendicular to y = 2x would be y = (-1/2)x.
From both equations. We can either arrange in slope-intercepy form or use the slope formula which is m = -A/B when the equation is in Ax+By+C = 0 or Ax+By = C.
[tex] \large{ \begin{cases} 2x - 5y = - 3 \\ 5x + 2y = 6 \end{cases}}[/tex]
To find if these two lines are perpendicular to each others. Use the slope formula of -A/B.
[tex] \large{ \begin{cases} m_1 = - \frac{2}{ - 5} \\ m_2 = - \frac{5}{2} \end{cases}} \\ \large{ \begin{cases} m_1 = \frac{2}{ 5} \\ m_2 = - \frac{5}{2} \end{cases}}[/tex]
Now recall that it is perpendicular when one of them is negative reciprocal of one another (-5/2 is negative reciprocal of -(-2/5) = 2/5 and 2/5 is negative reciprocal of -5/2).
Or in definition of perpendicular lines, both slopes multiply and must equal to -1.
[tex] \large{( \frac{2}{5} )( - \frac{5}{2} ) = - 1} \\ \large{ - 1 = - 1}[/tex]
Thus the equation is true which makes both lines perpendicular to each others.
Answer
Both lines are perpendicular to each others.Let me know if you have any doubts!
Hi, does anyone know the answer to this question? I’m bad at geometry and I’m struggling to answer it.
Answer:
QT = 16
Step-by-step explanation:
ΔQRS ~ ΔQRT
In similar triangles, corresponding angles are in same ratio.
[tex]\frac{QS}{QR}=\frac{QR}{QT}\\\\\frac{25}{20}=\frac{20}{QT}[/tex]
Cross multiply,
QT * 25 = 20 * 20
[tex]QT =\frac{20*20}{25}\\\\QT = 4*4\\\\QT = 16[/tex]
A train traveling at a speed of 160 km / hr will take 18 hours to cover between two cities . How long will it take a car travelling at 120 km/hr to cover the same distance
Answer:
24 hours
Step-by-step explanation:
160 x 18 = 2880
2880/120 = 24
What is the best name for the figure with vertices at the following coordinates?
(0,0), (-1, 1), (6, 1), and (2, 0)
A.
rectangle
B.
square
C.
trapezoid
D.
rhombus
Answer: C) Trapezoid
Refer to the figure below. Note how sides BC and AD are parallel. We have exactly one pair of parallel sides, so that's why we have a trapezoid.
The figure with the vertices (0,0), (-1, 1), (6, 1), and (2, 0) is a trapezoid
What is a trapezoid?The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.
There are three types of trapezoids , and those are given below:
a) Isosceles Trapezoid
b) Scalene Trapezoid
c) Right Trapezoid
The area of the Trapezoid is given by
Area of Trapezoid = ( ( a + b ) h ) / 2
where , a = shorter base of trapezium
b = longer base of trapezium
h = height of trapezium
Given data ,
Let the coordinates of the figure be represented as ABCD
Now , the vertices of the figure is
A ( 0 , 0 ) , B ( -1 , 1 ) , C ( 6 , 1 ) and D ( 2 , 0 )
On plotting the coordinates in the graph , we get a trapezoid with
The longer base = BC
The shorter base = AD
So , the figure is a trapezoid
Hence , the vertices represents a trapezoid
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Can someone help me find this function's vertex?
y = −3(x + 2)2 + 5.
Answer: The vertex is x=-7/6
*The graph is below*
Hope that this helps!
Determine the domain of the following graph:
answer:
(-1,8]
explanation I just did something close to this
pleaseeee helppp meee!!!!
Answer:
Step-by-step explanation:
6-2x+5+4x
=11+2x (this is a required equation)
Diya subtracted -2x from 6 and added 5 and 4x but she can't add or subtract because they are unlike terms.
Someone help please struggling on this answer thank you so much!
Answer:
-x+8=6
Step-by-step explanation:
x+5-1(2x)+(-1)(-3)=6
x+5-1-2x+3=6
ans (-x+8=6)
x+8
