Step-by-step explanation:
[tex]\sf{ 2 |{\underline{84,102,100}}}[/tex]
[tex]\sf{ 2|{\underline{42,51,50}}}[/tex]
[tex]\sf {3|{\underline{21,17,25}}}[/tex]
[tex]\sf {5|{\underline{7,17,25}}}[/tex]
[tex]\sf {\:\:{7,17,5}}[/tex]
LCM=2×2×3×5×7×17=7120Using a table, show 60% of 80 60% of 80 is о
Explain in words the equation 42÷6=
Answer:
The quotient of forty-two and six is seven.
What is the slope of the line through the points (-2, -1) and (4, 3)?
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
slope formula: [tex]\frac{y{2}-y{1} }{x{2}-x{1}}[/tex]
x1 and y1 are (-2, -1)
x2 and y2 are (4, 3)
[tex]\frac{3-(-1)}{4-(-2)}[/tex]
[tex]\frac{3+1}{4+2}[/tex]
[tex]\frac{4}{6}[/tex]
[tex]\frac{2}{3}[/tex]
A shipment of 12 microwave ovens contains 2 defective units. A restaurant buys 4 of these units. What is the probability of the restaurant buying at least 3 nondefective units? The probability of the restaurant buying at least 3 nondefective units is
Answer:
91%
Step-by-step explanation:
we can use combinations:
Total probabilities = 12! / (4!8!) = 479,001,600 / 967,680 = 495
Probability of no defective unit = ₁₀C₄ = 10!/4!6! = 3,628,800 / 17,280 = 210
Probability of one defective unit = ₁₀C₃ · ₂C₁ = 10!/3!7! · 2!/1! = 120 · 2 = 240
Probability of no more than one defective unit = (210 + 240) / 495 = 450 / 495 = 91%
What is the sum of the first 10 terms of the sequence:
10,5, 0, -5, -10...
A. 100
B. -125
Answer:
-125
Step-by-step explanation:
If I have a black lab, then I have a dog. What is this statement called: if I do not have a dog then I do not have a black lab. HELP PLEASE
A) inverse
B) converse
C) conditional
D) contrapositive
Answer:
contrapositive
Step-by-step explanation:
The GCF of 26 39 and 65
The sum of 4 thirteens and 16 thirteens, need answer ASAP :(
Answer:
260?
Step-by-step explanation:
I used the equation (4)13+(16)13 and plugged it into my calculator and got 260.
The sum of 4 thirteens and 16 thirteens is 260.
What is the meaning of sum?
You add up all the numbers to arrive at the sum. When you summarise something, you pay attention to all of its crucial components. A specific sum of money can also be referred to using the word sum. You might have to spend a sizable sum of money on a new car. However, you might be able to justify spending so much if you add up or total all of its advantages. When you add up the costs of everything you ordered, the total on a restaurant bill is determined. Sum need not be restricted to numbers. When you summarise something, you're providing a summary or overarching statement about it.
Here, 4 thirteens = 4 × 13 = 52
16 thirteens = 16 × 13 = 208
Sum of 4 thirteens and 16 thirteens = 52 + 208 = 260
Hence, 260 is the correct answer.
Learn more about sum from the link.
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What is the orders pair that is a solution to this equation, y=x+2
Answer: These are possible solutions:
(0,2) (1,3) (2,4)
Hope this helps..:)
Given the sequence, 26, 13, 6.5, ..... find a) the 10th term and b) the sum of the first 18 terms X Clear * Undo Redo
Answer:
[tex]T_{10} = 0.05078125[/tex]
[tex]S_{18} = 51.9998016358[/tex]
Step-by-step explanation:
Given:
Sequence = 26, 13, 6.5 ....
Solving (a): The 10th term
The sequence is a geometric progression and the nth term will be solved using:
[tex]T_n = ar^{n-1}[/tex]
In this case:
[tex]n = 10[/tex]
[tex]r = \frac{T_2}{T_1}[/tex] --- Common Ratio
[tex]r = \frac{13}{26}[/tex]
[tex]r = 0.5[/tex]
[tex]a = 26[/tex] --- First term
So, [tex]T_n = ar^{n-1}[/tex] becomes
[tex]T_{10} = 26 * 0.5^{10-1}[/tex]
[tex]T_{10} = 26 * 0.5^{9}[/tex]
[tex]T_{10} = 26 * 0.001953125[/tex]
[tex]T_{10} = 0.05078125[/tex]
Solving (b): The sum of first 18 terms
This will be calculated using:
[tex]S_n = \frac{a(1 - r^n)}{1 - r}[/tex]
Substitute values for n, a and r
[tex]S_{18} = \frac{26 * (1 - 0.5^{18})}{1 - 0.5}[/tex]
[tex]S_{18} = \frac{25.9999008179}{0.5}[/tex]
[tex]S_{18} = 51.9998016358[/tex]
Hence, the sum of first 18 terms is 51.9998016358
Find log1/4 rounded to the nearest hundredth.
Answer:
-log_4
Step-by-step explanation:
The value of log1/4 rounded to the nearest hundredth is -0.60
Given the parameter which is needed for our Calculation:
log1/4Using a calculator, the value of log1/4 is -0.602059
Rounding to the nearest hundredth, is two digits after the decimal point.
Hence, we have ;
-0.60 (since the value after 0 is less than 5)Therefore, log1/4 is -0.60
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Graph f(x)=8+2x. Then find the value of f(x) when x=1/2
Answer:
9
Step-by-step explanation:
f(1/2)=8+2(1/2)
f(1/2)=8+1
f(1/2)=9
Answer:
f ( 1/2 ) = 9
Step-by-step explanation:
Step 1:
f ( x ) = 8 + 2x Function
Step 2:
x = 1/2 Given
Step 3:
f ( 1/2 ) = 8 + 2 ( 1/2 ) Input x value
Step 4:
f ( 1/2 ) = 8 + 1 Multiply
Answer:
f ( 1/2 ) = 9
Hope This Helps :)
Kaelyn is reading a book. The books thickness is 25 millimeters. How many of these books would fit on a shelf that is 1 meter long?
The number of books that can be fit on a shelf is 1 meter long and will be 40.
What is Algebra?Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.
Kaelyn is reading a book.
The book's thickness is 25 millimeters.
Then the number of the books that can be fit on a shelf is 1 meter long will be
Let x be the number of the books.
The thickness of the book in meters will be 0.025 m.
Then we have
0.025x = 1
x = 1 / 0.025
x = 40
More about the Algebra link is given below.
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a) Show that x² - 8x + 20 can be written in the form (x - a)² + a where a is an integer.
b) Hence explain how you know that x² - 8x + 20 is always positive.
I have worked out the first bit of the question and the answer is:
x²-8x+20
x²-8x+16-16+20
(x-4)²+4
(x-a)²+a
a= 4
I just need help with part b and I'm struggling to do it. Please help.
Answer:
Step-by-step explanation:
b) x^2 - 8x + 20 is always positive because in part a, you figured out that it could also be written as (x-4)^2 + 4.
You know that (x-4)^2 is greater than or equal to 0 so by adding 4, the result will always be positive
Division expression
What is the equation of the parabola with
vertex (4, -2) and y-intercept 6?
Answer:
Step-by-step explanation:
N sei
Plzzzzz help asappppppp
4x^2 - 9y^6
what patterns can be used ?
please and thank you !!!
Answer:
B. (U+V)(U-V)
Step-by-step explanation:
Factoring
The given expression is:
[tex]4x^2-9y^6[/tex]
It should be noted that both terms are perfect squares:
[tex](2x)^2=4x^2[/tex]
[tex](3y^3)^2=9y^6[/tex]
Since it's a difference of squares, we need to use the following pattern to factor the required expression:
[tex](U^2-V^2)=(U+V)(U-V)[/tex]
Thus, the answer is
B. (U+V)(U-V)
7. In the drawing below, identify the following. (This is NOT multiple choice!)
A) Alternate Interior Angles
B) Alternate Exterior Angles
C) Consecutive Interior Angles
D) Corresponding Angles
You are planning a party. The space restriction is such that you can only invite 4 people. There are 9 friends to choose from. In how many ways can you select those 4 people?
a. There are (9-8+7+6(4+3+2+1) many ways.
b. There are (9-4)*(8-3)*(7-2)*(6-1) many ways.
c. There are 9*8*7*6 many ways.
d. There are 9*8*7*6/4*4*3*2*1) many ways.
Given:
Total number of friends = 9
Number of friend to invite = 4
To find:
The number of ways.
Solution:
We know that, total number of ways to select r items from n items is
[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
So, the total number of ways to select 4 people from 9 friends is
[tex]^9C_4=\dfrac{9!}{4!(9-4)!}[/tex]
[tex]^9C_4=\dfrac{9!}{4!5!}[/tex]
[tex]^9C_4=\dfrac{9\times 8\times 7\times 6\times 5!}{4\times 3\times 2\times 1\times 5!}[/tex]
[tex]^9C_4=\dfrac{9\times 8\times 7\times 6}{4\times 3\times 2\times 1}[/tex]
Therefore, the required number of ways is [tex]\dfrac{9\times 8\times 7\times 6}{4\times 3\times 2\times 1}[/tex].
Note: All options are incorrect.
Please answer fast !!!!!!
Look at the picture
Answer:
< EAC = 31 (small angle of blue triangle)
< BCA = 31 (small angle of green triangle)
< ABC = 104 (big angle of green triangle)
< BDC = 45 (yellow triangle)
< BDF = 135 (outside yellow triangle)
< AEG = 76 (outside blue triangle)
Avni designs a game in which a player either wins or loses 4 points during each turn. Which equation represents all numbers of points, p, a player may have after his or her first turn of the game? A. p = 4 B. p = –4 C. |p| = 4 D. |p| = –4
Answer:
C |p| = 4
Step-by-step explanation:
If a player wins 4points during each turn, then, the total points will be +4points
If the player looses 4points, total points lost will be -4points
The total number of point p the player can have will be represented as;
|p| = 4 (since is both positive and negative 4 )
Note that the nodulus of a variable will return both positive and negative value of that variable
What is the range of the function represented by the table?
A 2-column table with 5 rows. Column 1 is labeled x with entries 2, 4, 6, 8, 10. Column 2 is labeled y with entries 2.5, 5.0, 7.5, 10.0, 12.5.
{2, 4, 6, 8, 10}
{2.5, 5.0, 7.5, 10.0, 12.5}
{2, 2.5, 4, 5.0, 6, 7.5, 8, 10, 12.5}
{0.0, 0.5}
Answer:
{2.3, 5.0, 7.5, 10.0, 12.5} Option b
Step-by-step explanation:
Domain is the input values and the range is the output values. The y values.
Answer:
b
Step-by-step explanation:
find the smallest number by which the number108 must be multiplied to obtain a perfect cube
Answer:
2
Step-by-step explanation:
108*2
=216
216
=6^3
PLS GIVE BRAINLIEST
Can you guys help me quick please Becuase it’s due today please answer all my question that I posted
Answer:
y = x + 3
Step-by-step explanation:
1 + 3 = 4
2 + 3 = 5
3 + 3 = 6
And so on
What is 3,350,000 in scientific notation?
Answer:
10^4 or 3.5
Step-by-step explanation:
factor 2x^2-9x+9=0 and please show ur steps
Answer:
♡ hi there, madi here! ♡
hope your having a great day.
I did the math so here's your answer.
2x−3)(x−3)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
2x-3=0. x-3=0
Set the first factor equal to 0 and solve.
x=3/2
Set the next factor equal to 0 and solve.
x=3
Therefore, the final solution is all the values that make (2x-3) (x-3)=0 true. x=3/2,3♡
✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧
What survival rate in the 10th year would make the average of loss over the 10 year period equal to 38.0%
Answer: 63%
Step-by-step explanation:
First step
Find the 10th year rate of loss that will make the average of loss over the 10 years to equal 38.0%.
Assume this rate is x;
[tex]\frac{(36.2 + 29.0 + 46.2 + 37.5 + 40.9 + 40.0 + 32.6 + 40.5 + 40.1 + x)}{10} = 38.0\\\\\frac{343 + x}{10} = 38\\\\x = 380 - 343\\\\x = 37[/tex]
x = 37%
Second step - Survival rate
The survival rate is calculated by;
= 1 - rate of loss
= 1 - 37%
= 63%
The area of a circle is 36
[tex]\pi[/tex]
cm?.
What is the radius of this circle?
Use the 3 trig ratios to find each unknown side length. Round all answers to 1 decimal
Note: As you missed to add the graph of mentioning the complete question.
So, I am solving your concept based on an assumed graph which I have attached. It would anyways clear your concept.
Answer:
Please check the explanation!
Step-by-step explanation:
Given the attached graph below, it is clear that the right angle triangle ABC is shown.
Here are some of the information we can get from the right angle triangle ABC such as:
The angle at C = 30°side AB = 8 unitsWe have to determine the unknown side 'x' using the trigonometric ratios
As
tan Ф = opp/adjacent
From the diagram it is clear that
Ф = 30°
opp=8
adjacent = BC = x
so
tan Ф = opp/adjacent
tan 30 = 8/x
1/√3 = 8/x
x = 8×√3
x = 13.9
Therefore, the missing length will be: x = 13.9