Answer:
Mean = 8
Step-by-step explanation:
The mean is another way of describing the average. To find the mean, you need to (1) add all of the numbers together and (2) divide by the amount of numbers added.
(Step 1)
4 + 10 + 12 + 8 + 6
= 40
(Step 2)
4, 10, 12, 8, 6 -----> There are 5 numbers
40 / 5
= 8
How would you solve this problem step by step ?
4√15(2√2 + √5)
[tex]~~4\sqrt{15} \left( 2\sqrt 2 + \sqrt 5 \right)\\\\=8\sqrt{15} \sqrt 2 + 4\sqrt{15} \sqrt 5\\\\=8\sqrt{15\times 2}+4 \sqrt{15 \times 5}\\\\=8\sqrt{30}+4\sqrt{3 \times 5 \times 5}\\\\=8\sqrt{30} + 4 \sqrt{3\times 5^2}\\\\=8\sqrt{30} + 4\cdot 5 \sqrt 3\\\\=8\sqrt{30} +20\sqrt{3}[/tex]
53, 13, 34, 41, 26,61, 34, 13,69 mean median mode and range
Answer:
mean 38.22
median 34
mode 13 & 34
range 56
Step-by-step explanation:
mean- add all values together and divide by number of values
median- order from least to greatest find the middle value
mode- the value that appears most often, can be more than one value
range- smallest value subtracted from the largest
Write the slope intercept form of each equation of the line. Use a fraction for slope if needed.
Parallel to y=−3/4x, through (4, -1)
Answer:
y = -3/4x + 2
Step-by-step explanation:
The line is parallel to y = -3/4x and passes through the point (4, -1)
=============================================================
Solving :
⇒ As they are parallel, the slope remains the same (-3/4)
Now apply into the point slope formula :
⇒ y + 1 = -3/4 (x - 4)
⇒ y + 1 = -3/4x + 3
⇒ y = -3/4x + 2 [in slope-intercept form]
can someone do this for me please?! Just the answer pls
Answer:
see the attachment photo!
Solve using the quadratic formula. (2 points)
20. -2x²-3x + 5=0
Answer:
-2x²-3x+5=0
-2x²+2x-5x + 5 = 0
-2x(x+1)-5(x + 1) = 0
(x+1) (-2x-5) = 0
unit rate for typing 34 words in a minute in a half
Answer:
Rate is 1.1333 words per second
Step-by-step explanation:
We understand rating as frequency or speed of doing something per time (seconds mainly)
[tex]{ \green{ \tt{rate = \frac{item \: quantity}{time} }}} \\ [/tex]
Let's find rate in terms of seconds (words per second)
[tex]{ \rm{rate = \frac{34 \: words}{ (\frac{1}{2} \times 60) \: seconds} }} \\ \\ { \rm{rate = \frac{34}{30} }} \\ \\ { \rm{rate = 1.133 \: \: words \: per \: second}}[/tex]
A golf ball, thrown upwards, rises at a speed of v metres per second.
The ball reaches a maximum height of h metres.
h is proportional to the square of v.
When v = 10, h = 8
Work out the maximum height reached by the golf ball when v = 45
Answer:
162 metres
Step-by-step explanation:
Since h is proportional to the square of v, we know that their ratio must be constant, so [tex]v_1^2/h_1 = v_2^2/h_2[/tex] where v1 and v2 are velocities and h1 and h2 are their respective heights.
Since we are given that v = 10 and h = 8, we can set v1 = 10 and h1 = 8 and since we are trying to find the height for v = 45, we can set v2 = 45. Inputting these values into the equation and solving, we get
10^2/8 = 45^2/h2
h2 = 45^2/(10^2/8) = 162 metres
I hope this helps!
Decide whether the data in the table represent a linear function or an
exponential function. Explain how you know.
y
1
16
2
8
3
0
4
-8
5
-16
A. The data represent an exponential function because there is a
common ratio of 2.
B. The data represent a linear function because there is a common
difference of 8.
OC. The data represent a linear function because there is a common
difference of -8.
D. The data represent an exponential function because there is a
common ratio of 1
Answer:
A data represent an exponential function because there is a common ratio of 1
PLEASE PLEASE HELP ITS MY FINAL GRADE PLEASE PLEASE
According to it, each package of Milk Chocolate M&M's should contain 24% blue,
14% brown, 16% green, 20% orange, 13% red, and 14% yellow M&M's. Based on
this information determine the amount each color of M&M's would be in a bag of
M&M's
Answer:
See below
Step-by-step explanation:
Given there are 56 M&M's:
Expected Value of Blue = 56(0.24) = 13.44Expected Value of Brown = 56(0.14) = 7.84Expected Value of Green = 56(0.16) = 8.96Expected Value of Orange = 56(0.20) = 11.20Expected Value of Red = 56(0.13) = 7.28Expected Value of Yellow = 56(0.14) = 7.84Remember to use [tex]np[/tex] to calculate expected value! This will especially be helpful if you are conducting a chi-squared test of independence.
Choose the function whose graph is given by
Answer:
cos(x)+1 or cos x + 1
Step-by-step explanation:
The wave starts at y=2 this means it is a cosine function, then the first positive x-intercept is at about (pi, 0) which is about 3, this leads to cos x + 1 as the answer.
Let R be the region in the first quadrant enclosed by the graph y=(square root(6x+4)), the line y=2x, and the y-axis. . . .Set up but do not integrate an integral,expression in terms of a single variable for the volume of the solid generated when R is revolved about the y axis
The two boundary curves y = √(6x + 4) and y = 2x meet at
√(6x + 4) = 2x
6x + 4 = 4x²
2x² - 3x - 2 = 0
(x - 2) (2x + 1) = 0
⇒ x = -1/2 and x = 2
R is bounded to the left by the y-axis (x = 0), so R is the set
R = {(x, y) : 0 ≤ x ≤ 2 and 2x ≤ y ≤ √(6x + 4)}
Using the shell method, the volume is made up of cylindrical shells of radius x and height √(6x + 4) - 2x. So each shell of thickness ∆x contributes a volume of
2π (radius) (height) ∆x = 2π x (√(6x + 4) - 2x) ∆x
and as we let ∆x approach zero, the total volume of the solid is given by the definite integral
[tex]\displaystyle \boxed{2\pi \int_0^2 x \left(\sqrt{6x + 4} - 2x\right) \, dx}[/tex]
37:28
Chin canned a number of quart jars and a number of pint jars of tomatoes from his garden. A pint is 16 ounces and
a quart is 32 ounces. The number of pints he canned is represented by p, and the number of quarts he canned is
represented by q. Which equation models the scenario if Chin canned a total of 1,280 ounces?
1,280+16p=32q
1,280+32q=16p
32q-16p=1,280
16p+32q = 1,280
The equation that models the scenario is 16p+32q = 1,280.
Which equation models the scenario?Addition is the mathematical operation that is used to determine the sum of two or more numbers.
The equation that would model the scenario can be determined by adding the total pints and total quarts Chin has :
Total pint + total quart = total ounces
16p+32q = 1,280.
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somebody pls help me with this question pls
If u(x) = x5 – x4 + x2 and v(x) = –x2, which expression is equivalent to (StartFraction u Over v EndFraction) (x)?
x3 – x2
–x3 + x2
–x3 + x2 – 1
x3 – x2 + 1
Based on the calculations, an expression which is equivalent to [u/v](x) is: C. -x³ + x² - 1.
Given the following data:
u(x) = x⁵ – x⁴ + x²v(x) = -x²What is an expression?An expression is a mathematical equation which is used to show the relationship that exist between two or more numerical quantities or variables.
In this exercise, we would evaluate the given expressions by factorizing the function u(x) as follows:
u(x) = x⁵ – x⁴ + x²
u(x) = x²(x³ – x² + 1)
Rewriting the expressions as a fraction, we have:
[tex]\frac{u(x)}{v(x)} = \frac{x^2(x^3 - x^2 + 1)}{-x^2}\\\\\frac{u(x)}{v(x)} = -(x^3 - x^2 + 1)\\\\\frac{u(x)}{v(x)} = -x^3 + x^2 - 1[/tex]
Therefore, u(x)/v(x) = -x³ + x² - 1.
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Answer:
c
Step-by-step explanation:trust
This Week's High Temperatures (°F)
29, 38, 45, 31, 50, 58, 62
Last Week's High Temperatures (°F)
44, 31, 66, 32, 26, 58, 78
Which measures of center and variability for the
temperatures were lower this week than last week?
Check all that apply.
mean
median
mode
range
mean absolute deviation
Done
The measures of center and variability for the
temperatures that were lower this week than last week include mean, range, mean absolute deviation.
What is a mean?It should be noted that a mean simply means the average set if numbers given.
Also, the range is the difference between the highest number and the lowest number in the data.
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Answer:
mean,range,mean absolute deviation
Step-by-step explanation:
just took it on edge
Triangle ABC is an isosceles right triangle. What is the measure of one base angle?
Answer:
45°
Step-by-step explanation:
ΔABC is an isosceles right triangle. So, one angle is 90°
In an isosceles triangle, base angles are congruent.
Let the base angles be x ,x
x + x +90 = 180 {Angle sum property}
2x + 90 = 180
2x = 180 - 90
2x = 90
x = 90/2
x = 45
Base angle = 45°
what is measured by the speed of doing work
Power is often measured in joules of work per second
Solve the inequality.
|6p+3|>15
A. p>-2 or p<3
B. p<2 or p>-3
C. p<-2 or p>3
D. P>2 or p<-3
Answer:
D. P>2 or p<-3Step-by-step explanation:1. Apply absolute rule :
6p + 3 < -15 or 6p + 3 > 15
2.6p + 3 < -15 or 6p + 3 > 15P < - 3 or P > 2
what is the polar coordinate of (0, pie)
Answer:
The angle's beginning and ending points are referred to as the initial and terminal sides, respectively. Distance from the origin and two angles are the three parameters of 3D polar coordinates or spherical coordinates. is a three-dimensional polar coordinate.
Step-by-step explanation:
Read above.
Multiple Choice Worth 5 points)
(02.07 MC)
In the figure shown, what is the measure of angle x?
40⁰
D
B
70°
O 100 degrees
O 110 degrees
120 degrees
O 140 degrees
Answer:
110 is the correct answer...
Which equation represents a line that is parallel to the line that passes through the points (−6,9) and (7,−17)?
Answer: y - 17 = -2(x-7)
Step-by-step explanation:
point-slope form: y - y1 = m(x - x1)
m = y2-y1/x2-x1
= 9+17/-6-7
= 26/-13
= -2
y1 = -17
x1 = 7
y - 17 = -2(x-7)
The equation represents a line that is parallel to the line that passes through the points (−6,9) and (7,−17) is y = -2x - 3
What is the general equation of a straight line?The general equation of a straight line is-
y = mx + c
where, m is the gradient and is given by y₂ - y₁/x₂ - x₁
and, c is the value where the line cuts y-axis.
Now it is given that the line passes through points (−6,9) and (7,−17)
Therefore we have,
x₁ = -6, y₁ = 9, x₂ = 7, y₂ = -17
So, the slope m of the line is given as,
m = (y₂ - y₁)/(x₂ - x₁)
Put the values,
m = (-17 - 9)/(7 - (-6))
m = -26/7+6
m = -26/13
m = -2
Thus, the equation parallel to the line will be given as:
y - y₁ = m(x - x₁)
y - 9 = -2{x - (-6)}
y - 9 = -2(x + 6)
y = -2x - 12 + 9
y = -2x - 3
Thus, the equation represents a line that is parallel to the line that passes through the points (−6,9) and (7,−17) is y = -2x - 3
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Which expression is equivalent to (4mn/m^-2n^6)^-2
The expression that is equivalent to (4mn/m^-2n^6)^-2 is [tex]\frac{n^{10}}{16m^{6}}[/tex]
How to determine the equivalent expression?The expression is given as:
(4mn/m^-2n^6)^-2
Apply the law of indices
[tex](4m^{1 + 2}n^{1-6})^{-2[/tex]
Evaluate the sum and the differences
[tex](4m^{3}n^{-5})^{-2[/tex]
Apply the negative exponent
[tex]\frac{1}{16m^{2*3}}}n^{5*2}[/tex]
Evaluate
[tex]\frac{1}{16m^{6}}n^{10}[/tex]
Rewrite as:
[tex]\frac{n^{10}}{16m^{6}}[/tex]
Hence, the expression that is equivalent to (4mn/m^-2n^6)^-2 is [tex]\frac{n^{10}}{16m^{6}}[/tex]
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True or False? A circle could be circumscribed about the quadrilateral below.
O A. True
B. False
A circle could be circumscribed about the quadrilateral is true.
What is Quadrilateral?A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles. It is formed by joining four non-collinear points
If opposite angles of a quadrilateral add to 180 then it is called a cyclic quadrilateral and a circle can be inscribed in it.
Here, the opposite sides are 115 and 65
115+65=180
The other opposite sides have 90 and 90
90+90=180, which means that it is true that a circle can be circumscribed about the quadrilateral above.
Hence, A circle could be circumscribed about the quadrilateral is true.
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In a a computer game positive numbers represent earning points and negatiive numbers represents.wich number represents losing more than 500 points
An expression is defined as a set of numbers, variables, and mathematical operations. The expression that represents losing more than 500 points is x<-500.
What is an Expression?
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given In a computer game positive numbers represent earning points and negative numbers represent losing points. Therefore, the loss of more than 500 points is given by the inequality,
x< -500
Hence, the expression that represents losing more than 500 points is x<-500.
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Blank + -5 = -63................................
Answer:
-58
Step-by-step explanation:
x + -5 = -63
x = -63+(-5)
x =- 58
After years of successful existence, a company producing Smart TV formulated an equation for the cost P of manufacturing n number of television sets. The equation is P(n)=1200n+700. Find the cost of 50 television set.
a. Php 59,300
b. Php 60,000
c. Php 60,700
d. Php 61,200
Put n=50
P(50)
1200(50)+70060000+70060700Option C
Answer:
C
Step-by-step explanation:
To find the cost for 50 televisions:
We put the value of n=50
P(50)
1200(50)+700
60000+700
60, 700
Option C
does someone mind helping me with this question? Thank you!
Answer:
60
Step-by-step explanation:
Use PEMDAS (parentheses, exponent, multiply, divide, addition, subtraction)
First, substitute 5 for x:
3(3(5) + 5)
Multipliy inside the parentheses:
3(15 + 5)
Add inside the parentheses:
3(20)
Multiply:
60
There's your answer! Hope I helped.
PLEASE HELP!!! find the area of the shaded triangle
Answer:
4 ft squared
Step-by-step explanation:
2 add 2 is 4
4 multiplied by 4 is 16
16 divided by 2 is 8
8 divided by 2 is 4
Answer this for 28 points
Answer: I think B
Step-by-step explanation:
1. How many solutions does the equation have?
8x −6(2x − 2) = -12 + 2x + 15
-
No Solutions
One Solution
OTwo Solutions
An infinite number of solutions