Answers
Hey there! I'm happy to help!
Let's look at our diameters.
[tex]1*10^2^1\\5*10^2^2[/tex]
We want to see how many times greater the diameter of the IC 1101 is than the Milky Way. So, we will divide it's diameter by the diameter of the Milky Way.
[tex]\frac{5*10^2^2}{1*10^2^1} \\[/tex]
We divide the numbers without exponents, giving us 5. Then, we divide the 10s with exponents. When dividing exponents, you subtract the numbers in the exponent to get your result. For example, x³÷x²=x
[tex]\frac{5*10^2^2}{1*10^2^1} = 5*10=50[/tex]
Therefore, your answer is 50.
Have a wonderful day! :D
Related Questions
PLEASE HELP ASAP
No explanation needed
The Kellen school district gives awards to its schools based on overall student attendance. The data for attendance are shown in the table, where Low represents the fewest days attended and High represents the most days attended for a single student. School Low High Range Mean Median IQR σ High School W 108 180 72 169 150 47.5 29.5 High School X 112 180 68 160 124 49.5 32.4 High School Z 130 180 50 162 151 39.5 27.5 Part A: If the school district wants to award the school that has the most consistent attendance among its students, which high school should it choose and why? Justify your answer mathematically. Part B: If the school district wants to award the school with the highest average attendance, which school should it choose and why? Justify your answer mathematically.
Answers
Answer:
(A) It should choose High school Z for the most consistent attendance among its students.
(B) It should choose High school W with the highest average attendance.
Step-by-step explanation:
We are given the data for attendance in the table below, where Low represents the fewest days attended and High represents the most days attended for a single student.
School Hight School W High School X High School Z
Low 108 112 130
High 180 180 180
Range 72 68 50
Mean 169 160 162
Median 150 124 151
IQR 47.5 49.5 39.5
S.D. (σ) 29.5 32.4 27.5
(A) It is stated that the school district wants to award the school that has the most consistent attendance among its students.
Now, to check which high school should it choose; we will look for the standard deviation (σ) of each of the three schools because consistency is measured through standard deviation and the school with the lowest standard deviation means that it has the most consistent attendance among its students.
So, after looking at the standard deviation of all the three schools; the High School Z has the lowest standard deviation of 27.5.
This means that it should choose High school Z.
(B) It is stated that the school district wants to award the school with the highest average attendance.
Now, to check which high school should it choose; we will look for the Mean of each of the three schools because average is measured through mean of the data, and the school with the highest mean means that it has the highest average attendance.
So, after looking at the Mean of all the three schools; the High School W has the highest average of 169.
This means that it should choose High school W with the highest average attendance.
write the slope- intercept form of the equation for the line.
Y=2x-1
Y=1/2x-1
y=-2x-1
y=1/2x+1
Answers
Answer:
The answer will be y=2x-1
Step-by-step explanation:
With the graph we are able to use the formula rise/run, which means we count down from the top point, and then over, and then divide.
Going down is 4 points, and over is 2.
4/2 is 2.
This leaves us with two answers. With this information, we look at the direction the graph is going, it is going upwards, making it positive. Which means that your answer is the first one. Plus the line goes through -1.
Thank you, if you need any more help let me know.
That was on my test
The university theater uses a combination of one letter (A - Z) and two digits (0 - 9) to identify their reserved seats. How many reserved seats are
possible using a combination of one letter followed by two digits. EXPLAIN how to solve this problem in your own words.
Answers
Answer:
Hey There!! The answer to this is Correct option: 1) 2600 The letter has a total of 26 possible values (from 'a' to 'z'), and each digit has a total of 10 possible values (from 0 to 9).
So, to find the number of reserved seats possible, we just need to multiply the number of possible values of each letter and digit.
We have one letter and two digits, so we have:
26 * 10 * 10 = 2600 possible reserved seats
Thus, Correct option: 1)
Hope It Helped!~ ♡
ItsNobody~ ☆
The total number of combinations of one letter followed by two digits is 2600 option (1) 2600 is correct.
What are permutation and combination?A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
The missing options are:
1.) 26002.) 2343.) 2604.) 2106We have:
The university theater uses a combination of one letter (A - Z) and two digits (0 - 9) to identify their reserved seats
As we know, in the alphabet(A to Z) there are the 26 letters and total number of digits (0 to 9) is 10
A total number of combinations of letters followed by two digits can be calculated as follows:
As we have one letter and two digits
= 26×10×10
= 2600
, so we have:
26 * 10 * 10 = 2600 possible reserved seats
Thus, the total number of combinations of one letter followed by two digits is 2600 option (1) 2600 is correct.
Learn more about permutation and combination here:
https://brainly.com/question/2295036
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If 0≤β<2π, find all values of β that satisfy the equation cos(2β)=√3/2
Answers
Answer:
π/12 rad and 23π/12 radStep-by-step explanation:
Given the expression cos(2β)=√3/2 for 0≤β<2π, we are to find the value of β within the range that satisfies the equation.
[tex]cos(2\beta)=\sqrt{ 3}/2\\\\take \ the\ arccos\ of \ both \ sides\\\\cos^{-1}cos(2\beta) = cos^{-1}\sqrt{{3} }/2 \\ \\2\beta = cos^{-1}\sqrt{{3} }/2 \\\\2\beta = 30^0\\\\\beta = 30/2\\\\\beta = 15^0[/tex]
Since cos id positive in the 4th quadrant, [tex]\beta = 360^0-15^0[/tex], [tex]\beta = 345^0[/tex]
Hence the value of [tex]\beta[/tex] that satisfy the equation are 15° and 345°
Converting to radians;
180° = πrad
15° = 15π/180 rad
15° = π/12 rad
345° = 345π/180
345° = 23π/12 rad
The values in radians are π/12 rad and 23π/12 rad
help me plz i wnt help plz i want help
Answers
Answer:
C)28in
Step-by-step explanation:
To get the area of this face, we will divide it into 3 sections.
Area of the 1st section:
Given:
l=4in
w=2in
Formula:
a=l*w
Solution:
a=l*w
a=8in^2
Area of the 2nd section:
Given:
l=2in
w=2in
Formula:
a=l*w
Solution:
a=l*w
a=2in*2in
a=4in^2
Area of the 3rd section:
l=8in
w=2in
Formula:
a=l*w
Solution:
a=l*w
a=8in*2in
a=16in^2
a1+a2+a3=Area of the face
8in^2+4in^2+16in^2=28in^2
Hope this helps ;) ❤❤❤
a grandfather purchased a brand new car in 1958 for $2500.the car depreciated $325 a year. what would the car be worth 4 years after it was bought?
Answers
Answer:
The car would be worth 1200.
Step-by-step explanation:
Okay, the way to solve this type of question is quite simple,
you would start with the amount is lost per year being $325 a year, then multiply that by the 4 years grandpa waited and then subtract the overall amount lost in worth of the car from the original price and you got your answer.
The math: 2500-(325*4)=1200
so basically, we have $325 depreciated per year. We have 4 years of that, which means $325 yearly x 4 years = 1300. So the car lost 1300 dollars in value meaning that the car is now worth 1200.
Hope this helped!
A $20,000 business computer depreciates at a rate of 15% per year. Which of the following equations would model the value of the computer?
Answers
Answer:
[tex]f(t)=20000(0.85)^t[/tex]
Step-by-step explanation:
So the initial value of the business computer is $20,000. It depreciates by 15% per year. This is exponential decay. The standard function for exponential decay is:
[tex]f(t)=P(r)^t[/tex]
Where P is the initial value, r is the rate of decay, and t is the time in years.
Since the computer decreases by 15% per year, this means that each year, the computer will be 1-15% or 85% than its previous value.
Therefore, the equation that models the value of the computer is:
[tex]f(t)=20000(0.85)^t[/tex]
Question 12 Multiple Choice Worth 1 points)
(06.01 MC)
20
20
A spinner is divided into many sections of equal size. Some sections are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 11. The probability of the arrow landing on a section colored blue is 6. Whan
the probability of the arrow landing on a green-colored section?
O
20
O
20
о
9
20
17
20
Answers
Complete question:
A spinner is divided into many sections of equal size. Some sections are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 11 over 20. The probability of the arrow landing on a section colored blue is 6 over 20. What is the probability of the arrow landing on a green-colored section?
Answer: 3/20
Step-by-step explanation:
From the question, the spinner is divided equally into sections painted with 3 different colors (RED, BLUE and GREEN)
Given that:
P(arrow landing on red) = 11 / 20
P(arrow landing on blue) = 6/20
The probability of arrow landing on green is therefore :
Sum of the probabilities of red and blue :
P(arrow landing on red) + P(arrow landing on blue)
= (11/20 + 6/20) = 17/20
Recall : The sum of probabilities of mutually exclusive events must sum up to 1. Therefore, since the events represented above are mutually exclusive, that is no two events can occur at the same time.
Then:
P(arrow landing on red) + P(arrow landing on blue) + P(arrow landing on green) = 1
Hence,
P(arrow landing on green) = 1 - [(P(arrow landing on red) + P(arrow landing on blue)]
P(arrow landing on green) = 1 - [11/20 + 6/20]
P(arrow landing on green) = 1 - 17/20
P(arrow landing on green) = 3/20
God bless u. Sorry if I’m wrong and I tried
My best
NEED ANSWER FAST....FIRST ANSWER WILL BE BRAINLIST!!!!
For which data set would the mean absolute deviation be a good indicator of variation of the data?
Answers
Answer:
Bottom right.
Step-by-step explanation:
The bottom right stem-and-leaf plot is the best data set because the data is unimodal and centered, so the mean absolute deviation will be the smallest. To verify this algebraically, you can find the mean of the data set. Once you have done that, you can find the absolute value of the difference between each data value and the mean: |data value – mean|.
A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 4 milliliters of compound B. If a chemist wants to make 665 milliliters of the drug, how many milliliters of compound B are needed?
Answers
375 milliliters of compound B
Which fraction is equivalent to -0.12? A. -3/25 B. -7/50 C. 4/25 D. -6/25 Please show ALL work! <3
Answers
Answer:
[tex]\huge\boxed{-\frac{3}{25} }[/tex]
Step-by-step explanation:
-0.12 in fraction form can be written as:
=> - 12/100
=> - 6 / 50
=> - 3/25
Answer:
[tex]\large \boxed{\mathrm{A. \ -3/25}}[/tex]
Step-by-step explanation:
Convert the decimal to a fraction.
-(0.12) = -(12/100)
Simplify the fraction.
-(12/100) = -(6/50) = -(3/25)
Find f-1.
f(x)=4 log2 (x – 7)
Answers
Answer:
f(1) = 10.33985 + 18.1294406 i
Step-by-step explanation:
f(1) = 4log2(1-7)
f(1) = 10.33985 + 18.1294406 i
i think
Simplify: 15 7/12 x−9 1/3 x
Answers
20x-4y=40
Find the slope of the linear equation
Answers
Answer:
the slope is 5
Step-by-step explanation:
Solve for y
20x -4y = 40
Subtract 20x from each side
20x-20x -4y = -20x +40
-4y = -20x+40
Divide each side by -4
-4y/-4 = -20x/-4 +40/-4
y = 5x -10
This is in slope intercept form y = mx+b where m is the slope and b is the y intercept
The slope is 5
Solve for y:
20x - 4y = 40
Subtract 20x to both sides
-4y = 40 - 20x
Divide -4 to everything
y = -10 + 5x
Therefore, the slope is 5
Best of Luck!
How is 200,000 + 7,000 +500 + 3 written in standard form?
Answers
Answer:
207,503
Step-by-step explanation:
you just have to add the 4 numbers so you get 207,503
━━━━━━━☆☆━━━━━━━
▹ Answer
207,503
▹ Step-by-Step Explanation
200,000 + 7,000 + 500 + 3
= 207,503
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Sheila cuts 60 foot wire cable in equal stripes of [tex]\frac{4}{5}[/tex] of a feet each. how many strips does she make?
a) 48 b) 51 c)60 d) 70 e) 75
Answers
Answer:
e) 75
Step-by-step explanation:
Given the following :
Total length of cable = 60 foot
Length of each stripe = (4/5) of a feet
Number of stripes = ( total cable length / length of each stripe)
Number of stripes = ( 60 / (4/5))
Number of stripes = 60 ÷ 4/5
Number of stripes = (60 * (5/4)
= (60 * 5) / 4
= 300 / 4
= 75
Number of stripes made = 75
Please Help Will Mark as Brainlist
Answers
Answer:
Hey there!
We can write this equation: 2x+4x=180
6x=180
x=30
Hope this helps :)
The two angles are supplementary angles. When added together they equal 180 degrees.
2x + 4x = 180
Combine like terms:
6x = 180
Divide both sides by 6:
X = 180/6
X = 30
In January 2008, the temperature in parts of Minnesota fell from 48 F degrees to -12 F degrees over a 24 hour period. What was the average temperature change per hour?
Answers
Answer:
The average temperature per hour:
-2.5 °F
Step-by-step explanation:
(-12-48) / 24 = -60/24
-60/24 = -2.5
In average decrease:
2.5°F
per hour
A shop sells “Gello” pens and “Inko” pens. A “Gello” pen costs £5 and an “Inko” pen costs £7. One day the shop sold 17 pens and recieved £109. How many of each type of pen were solved? Form a pair of simultaneous equations to solve this question.
Answers
Answer:
5 Gello Pens and 12 Inko Pens.
12 Inko Pens adds up to 84.
5 Gello Pens adds up to 25.
84 + 25 = 109.
I hoped this helped :)
If you apply the changes below to the absolute value parent function, f(x)=x, what is the equation of the new function? Shift 2 units to the right shift 3 units down
Answers
Answer:
f(x) = Ix - 2I -3
Step-by-step explanation:
f(x) = IxI
f(x) = Ix - 2I -3
The equation is f(x) = | x – 2 | + 3 Then the vertex of the absolute function will be at (2, 3).
What is an absolute function?The absolute function is also known as the mode function. The value of the absolute function is always positive.
The absolute function is given as
f(x) = | x – h | + k
If you apply the changes below to the absolute value parent function
f(x) = |x|
Then the equation of the new function will be
Shift 2 units to the right, shift 3 units down
f(x) = | x – 2 | + 3
Then the vertex of the absolute function will be at (2, 3).
More about the absolute function link is given below.
https://brainly.com/question/10664936
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Richard bought a car for $2,500. The value of the car depreciates by 5% each year,
What is the average rate of change in the value of the car during the first 3 years?
Round your answer to the nearest dollar.
-$232
- $116
-$119
- $357
Answers
Step-by-step explanation:
Hello, there!!!
The answer is option D.
I have given solution on the picture.
Hope it helps.....
If 6 • 3 = 18, then 4 + 8 = 20. T F → F T T → T F T → T F F → T
Answers
Answer:
False.
Step-by-step explanation:
For the statement: "If 6 • 3 = 18, then 4 + 8 = 20.":
6 * 3 = 18
If you added two after multiplying 6 and 3, you would get 20.
(6*3) + 2 = 20
8 + 4 does not equal 20.
8 + 4 = 20
12 ≠ 20
Factor the following expression completely:
32
z
4
+
8
z
3
−
4
z
2
Answers
Answer:
40z + 5
Step-by-step explanation:
I'm assuming you need to factor 32z + 4 + 8z + 3 - 4 + 2
32z + 8z ( since they both have the same variable ) = 40z4 + 3 - 4 + 2 ( since they have to variables ) = 5Hope this helped
Answer:
The factored expression for the given equation is 4(8z⁴ + 2z³ - z²)
Step-by-step explanation:
In the problem, we a re given an equation.
32z⁴ + 8z³ - 4z²
We can factor out this equation by finding the common factor between all of the coefficients which are 32, 8, and 4.
A common factor between them is 4 because each number can be easily divided by 4. Each number is also a multiple of 4. So, when we are factoring, we will divide each number by 4 because 4 will be on the outside of the parentheses in the final answer.
4(8z⁴ + 2z³ - z²)
So, this is your factored expression from the given equation.
1. What is the ratio of the sides? 2. Using Complete sentences, explain how you could verify that these two triangles are indeed similar.
Answers
Answer:
1) 10/15=2/3
2) You would have to make certain that they have the same three interior angles.
Step-by-step explanation:
1) 10/15=2/3
2) You would have to make certain that they have the same three interior angles.
Which function's graph has asymptotes located at the values x= ±nπ?
1-Y=csc x
2-Y=cos x
3-Y=tan x
4-Y=cot x
Answers
Answer:
[tex]y=csc(\theta)[/tex]
[tex]y=cot(\theta)[/tex]
Step-by-step explanation:
I will just change
[tex]x=\pm n\pi, n \in \mathbb{Z}_{\ge 0}[/tex]
For
[tex]\theta = \pi n, n\in\mathbb{Z}[/tex]
Also, note that sine and cosine function don't have asymptotes.
The vertical asymptotes of cosecant occur every [tex]\pi n, n\in\mathbb{Z}[/tex]
It happens because the cosecant function is undefined for those values.
The cotangent function has asymptotes located at every integer multiple of [tex]\pi[/tex].
On the other hand, the vertical asymptotes of tangent function occur at:
[tex]$\theta=\frac{\pi}{2} +n \pi, n \in \mathbb{Z}$[/tex]
It happens because the tangent function is undefined for those values.
Answer:
It's y = csc x and y = cot x.
Step-by-step explanation:
(NO TROLLS 3 TIMES THE CHARM) In △ABC, AB = BC = 20 and DE ≈ 9.28. Approximate BD.
Answers
Answer:
≈ 5.36
Step-by-step explanation:
If we have a triangle in which the angle measure of it being broken down are the same, that means that the legs in which the angle measures are the same will have the same length.
If we already know that DE ≈ 9.28, then we can subtract this from 20 and divide by two to get BD, which is equal to EC.
[tex]20-9.28=10.72\\10.72\div2=5.36[/tex]
However, I'm not 100% sure about this answer.
Hope this helped (and I hope I'm right)
Answer:
5.3589 or 5.36
Step-by-step explanation:
tan (15) = x / 20
x = 40 - 34.64
x = 5.36
An secondary school have 250 students 30% in the First grade secondary and 35% Second grade secondary.
how many students in the Third grade are there
Answers
Answer:
Third grade secondary = 87 students
Step-by-step explanation:
First grade = 30/100 x 250 = 75 students
Second grade = 35/100 x 250 = 87.5 rounded off to 88 students. Because students can't be half thus can't be in decimal. So round off to the nearest whole number.
Third grade = 250 - 88 - 75 = 87 students
Answer:
third grade secondary = 87 students
Step-by-step explanation:
:T
Can someone do this?
Answers
Do what??
Explain:
Hehehhehehehhehehe
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Factor completely and then place the factors in the proper location on the grid. x 2 + 13x + 36
Answers
Step-by-step explanation:
of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Factor completely and then place the factors in the proper location on the grid. x 2 + 13x + 36
Answer:
you change your mind, drag the item to the trashcan. Click the trashiecan to clear all your answers. Factor completely and then place the factors in the proper location on the grid.
Step-by-step explanation:
Thanks!
write the slope- intercept form of the equation for the line
y=-8/7x-3/2
y=7/8x-3/2
y=-7/8x-3/2
y=-3/2x+7/8
Answers
Answer: All options are in slope-intercept form
i hope this helps .
Step-by-step explanation:
1.
[tex]\mathrm{For\:a\:line\:in\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is}\:\\\mathbf{m}\:\mathrm{and}\:\mathbf{y}\:\mathrm{intercept\:is}\:\mathbf{b}\\y=-\frac{8}{7}x-\frac{3}{2}\\[/tex]
2.
[tex]\mathrm{For\:a\:line\:in\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is}\:\\\mathbf{m}\:\mathrm{and}\:\mathbf{y}\:\mathrm{intercept\:is}\:\mathbf{b}\\\\y=\frac{7}{8}x-\frac{3}{2}[/tex]
3.
[tex]\mathrm{For\:a\:line\:in\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is}\:\\\mathbf{m}\:\mathrm{and}\:\mathbf{y}\:\mathrm{intercept\:is}\:\mathbf{b}\\\\y=-\frac{7}{8}x-\frac{3}{2}[/tex]
4.
[tex]\mathrm{For\:a\:line\:in\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is}\:\\\mathbf{m}\:\mathrm{and}\:\mathbf{y}\:\mathrm{intercept\:is}\:\mathbf{b}\\\\y=-\frac{3}{2}x+\frac{7}{8}\\[/tex]
