Answer:
Option B - 24
Step-by-step explanation:
Given : Scores: 81, 79, 80, 88, 72, 96, 86, 73, 79, 88
To find : The range of the data?
Solution :
Range is defined as the difference between the smallest and the largest element of the data.
First we arrange the data into ascending order:
72,73,79,79,80,81,86,88,88,96
The smallest number is 72
The largest number is 96
The range of the data = largest number - smallest number
The range of the data = 96 - 72
The range of the data = 24
Therefore, Option B is correct.
Emily is observing the velocity of a cyclist at different times. After four hours, the velocity of the cyclist is 14 km/h. After nine hours, the velocity of the cyclist is 4 km/h.
Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the cyclist at different times. Show your work and define the variables used. (5 points)
Part B: How can you graph the equations obtained in Part A for the first 10 hours? (5 points)
A square prism has a base length of 5 m, and a square pyramid of the same height also has a base length of 5 m. Are the volume the same?
What is the solution set of the following equation? 3x2 - 6x = 0
The sum of three interior angles of a convex Pentagon is 420°.if the remaining angles are equal how much does each angle measure?
Each one of the remaining angles measures 60°.
How much does each angle measure?
We know that the sum of the interior angles of a closed figure of n sides is given by:
(n - 2)*180°.
A pentagon has 5 sides, so we use n = 5 and we get:
(5 - 2)*180° = 540°
Now we know that 3 angles add up to 420°.
Then the other two angles must add up to:
540° - 420° = 120°
And those two angles are equal, then each one measures:
120°/2 = 60°.
If you want to learn more about angles, you can read:
https://brainly.com/question/17972372
The sum of the exterior angles of a convex polygon, one angle at each vertex, is equal to how many degrees?
Answer: 360°
Step-by-step explanation:
Which of the following is an identity? A. sin2x sec2x + 1 = tan2x csc2x B. sin2x - cos2x = 1 C. (cscx + cotx)2 = 1 D. csc2x + cot2x = 1
Edit: no one answered but I figured out that the right answer is A
Answer: A is the correct answer.
Step-by-step explanation:
Just did the question, followed OP's advice since no one answered. Good luck.
Use the information in the figure. If m∠F = 76°, find m∠E
Answer:
m∠E=52°.
Step-by-step explanation:
The given triangle has two sides equal. In isosceles triangle two sides are equal and base angles are equal.m∠E=m∠D.
Let m∠D=m∠E= x
The sum of angles in any triangle is 180°.
Or,
x+x+76= 180
Addling like terms :
2x+76=180
Subtracting 76 both sides,
2x=104.
Dividing by 2:
x=52.
m∠E= 52°.
For the polynomial below, what is the coefficient of the term with the power of 3?
x^3+1/3x^4+6x+5
A. 6
B. 5
C. 0
D. 1
Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given that
[tex]x^3+\frac{1}{3}x^4+6x+5[/tex]
Coefficient of the terms are as follows:
Coefficient of x³ is 1
Coefficient of x⁴ is [tex]\frac{1}{3}[/tex]
Coefficient of x is 6
Constant term is 5
Hence, coefficient of the term with the power of 3 is 1.
Therefore, Option 'D' is correct.
Describe how the graph of y=|x|-12 is like the graph of y=|x| and how it is different?
Answer:
Both functions are similar, because basically they have the same behaviour, but the difference is that they start from a different vertex. The reason of this is because [tex]y=|x|-12[/tex] is a translation of [tex]y=|x|[/tex].
Basically, the first function is similar to the second one, but translated downwards 12 units.
So, they are similar in behaviour, we could say parallel, but different on the position of the vertex, the first is at y=-12, and the second one at y=0.
The graph of each function is attached, there you can observe the similarity and different we mentioned before.
PLEASE HELP I WILL RATE YOU BRAINLIEST!!
Write -5.8 as a mixed number in simplest form. Show your work
In a 45-45-90 triangle, the length if the hypotenuse is 11. Find the length of one of the legs
Answer:
[tex] \frac{11\sqrt{2}}{2}[/tex]
Step-by-step explanation:
In a 45-45-90 triangle, the length if the hypotenuse is 11
WE use the common ratio of 45-45-90 degree triangle
common ration is x: x: x sqrt(2)
x sqrt(2) is the length of the hypotenuse
[tex]x\sqrt{2} = 11[/tex]
Divide by sqrt(2) on both sides
[tex]x= \frac{11}{\sqrt{2}}[/tex]
To rationalize the denominator, multiply by sqrt(2) at the top and bottom
sqrt(2) * sqrt(2) = 2
[tex]x= \frac{11\sqrt{2}}{2}[/tex]
Practice writing linear equations in different forms. Line AB goes through the points A (0, –4) and B (6, 2). Which equation represents line AB? y – 4 = 3x y – 2 = 3(x – 6) y + 4 = x y + 6 = x - 2
the answer is c . y + 4 = x
What is the point slope equation of the line with slope -12 that goes through the points (5, 3)?
Answer:
y = -12x + 63
Step-by-step explanation:
- The equation of a line in a cartesian coordinate system is given by the following linear relationship:
y = mx + c
- The constants m and c are to be determined.
- The constant m denotes the slope of the line which is given as -12.
- To evaluate constant c we will plug the slope m = -12 and use the given point ( 5 , 3 ) as the lines passes through it. Hence, we have:
y = -12x + c
3 = -12(5) + c
3 = - 60 + c
c = 63
- Then the equation of the line can be expressed by plugging in the constants m and c as follows:
y = -12x + 63
what would be the measure of angle DGF, if segment DG is a bisector of angle G
30 degrees.60 degrees.90 degrees.None of the choices are correct.
Please HELP
1-) Solve the equation using the Properties of Equality.
11 − c = −17
2-)Solve the equation using the Properties of Equality.
1/2y + 1/5=1/2
Ac=3x+6 and CD=2x+14 what is the value of x
Answer:
[tex]x=8[/tex]
Step-by-step explanation:
We have been given that [tex]AC=3x+6[/tex] and [tex]CD=2x+14[/tex].
To solve for x, we are assuming that C is the midpoint of segment AD and we will equate both expressions as:
[tex]3x+6=2x+14[/tex]
[tex]3x-2x+6=2x-2x+14[/tex]
[tex]x+6=14[/tex]
[tex]x+6-6=14-6[/tex]
[tex]x=8[/tex]
Therefore, the value of x is 8.
Simplify the sum. (8u3 + 8u2 + 6) + (4u3 – 6u + 3)
Answer:
[tex]12u^{3}+8u^{2}-6u+9[/tex]
Step-by-step explanation:
we have
[tex](8u^{3}+8u^{2} +6)+(4u^{3}-6u+3)[/tex]
Group terms that contain the same variable
[tex](8u^{3}+4u^{3})+8u^{2}-6u+(6+3)[/tex]
Combine like terms
[tex](12u^{3})+8u^{2}-6u+(9)[/tex]
[tex]12u^{3}+8u^{2}-6u+9[/tex]
How many values of θ will satisfy tan-1 0 = θ when 0º<θ<90º?
How tall would a stack of 1000 pennies be in centimeters?
To calculate the height of a stack of 1000 pennies, multiply the thickness of one penny (0.1524 cm) by 1000. The total height would be 152.4 cm.
Explanation:Calculating the Height of a Stack of 1000 Pennies
To calculate the height of a stack of 1000 pennies, we first need to know the thickness of one penny. Unfortunately, the data provided talks about the volume of a stack of 100 bills, which is not directly relevant to our problem. However, by using the correct information, we find that a US penny is approximately 0.0598 inches (or 0.1524 cm) in thickness. So the calculation for the height of 1000 pennies stacked would be as follows:
Thickness of one penny = 0.1524 cmTotal height = 0.1524 cm/penny × 1000 penniesTotal height = 152.4 cmThus, the height of a stack of 1000 pennies would be 152.4 centimeters.
Learn more about Stack of 1000 Pennies Height here:https://brainly.com/question/4558969
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PLEASE HELP!!!
How can one thirdx − 2 = one fourthx + 11 be set up as a system of equations?
3y − x = −6
4y − x = 44
3y + x = −6
4y + x = 44
3y − 3x = −6
4y − 4x = 44
3y + 3x = −6
4y + 4x = 44
Answer: Hello!
we have that:
one third x − 2 = one fourth x + 11
this means:
(1/3)x - 2 = (1/4)x + 11
if this are equal numbers, we can write it as:
(1/3)x - 2 = y = (1/4)x + 11
now we have the system of equations:
(1/3)x - 2 = y
(1/4)x + 11 = y
if we "simplify" the rational therm in each equation, we get:
3*(1/3)x - 3*2 = 3y
x - 6 = 3y
and
4*(1/4)x + 4*11 = 4y
x + 44 = 4y
Then our system of equations is:
x - 6 = 3y
x + 44 = 4y
Now we can subtract x in each side of both equations:
-6 = 3y - x
44 = 4y - x
Then the right option is the first one.
3y - x = -6
4y - x = 44
200 gallon tank fills at 3 gallons/minute and loses 2 gallons/minute how long does it take to fill up
it fills at 3 gallons per minute, but loses 2 gallons per minute
3-2 =1, so it fills at 1 gallon per minute
200 gallons at 1 gallon per minute = 200 minutes,
200/60 = 3 hours and 20 minutes
A polygon with 12 sides is called a/an
In geometry, a dodecagon or 12-gon is any twelve-sided polygon.
hope this helps!
uhhhh how do i make a line parallel to AB through point C
A brick patio measures 18 ft by 16 ft by 6 in. find the volume of the bricks. if the density of the bricks is 130 pounds per cubic foot, what is the weight of the patio in pounds?
18 x 16 = 288
6 inches = 0.5 ft
288*0.5 = 144
patio = 144 cubic feet
144*130 = 18,720 total pounds
Statistical Literacy For a binomial experiment with rr successes out of nn trials, what value do we use as a point estimate for the probability of success pp on a single trial? Select one: a. p hat = n-r b. p hat = n+r c. p hat = n/r d. p hat = r/n
HELP
If f(x)=-6x+12, then f^-1(x)=?
Question 25. How do you do it?
You roll a six sided die and toss a coin. What is the probability of rolling an odd number and then getting heads?
The perimeter of a rectangle is 42 m. the length of the rectangle is 3 m more than twice the width. find the dimensions of the rectangle.
42/2 = 21
21 = w +2w+3
21 = 3w +3
18 =3w
w = 18/3 = 6
width is 6
length = 6x2=12+3 = 15
6+6+15+15 = 42
width = 6 m
length = 15 m
lady runs 20 miles in 4 hours. write an equation representing the direct relationship between distance and time