Answer: 80
Step-by-step explanation:
A) The first domino is 3, the second is 4. Hence 34.
B) The first domino is 5, the second is 1. Hence 51.
C) The first domino is 6, the second is 11. Hence 71.
D) The first domino is 7, the second is 10. Hence 80.
What is 12+24=2(6+ )
Answer:
[tex]\huge \boxed{x=12}[/tex]
Step-by-step explanation:
Let the unknown number be x.
12+24=2(6+x)
Switch sides.
2(6+x)=12+24
Expand brackets.
12+2x=12+24
Subtract 12 from both sides of the equation.
12+2x-12=12+24-12
2x=24
Divide both sides of the equation by 2.
(2x)/2=24/2
x=12
12+24=2(6+x )
36=2(6+ )
36\2=(6+x)
18=(6+x)
18-6=x
12=x
the answer is 12
distinguish between everyday Mathematics and Academic Mathematics
Answer:
Everyday mathematics would include lower-level math skills and comprehension, such as adding 5 cups of flour and 2 cups of sugar to some batter. Academic mathematics would include more complex math skills and comprehension, such as quadratic equations and interval notation.
Step-by-step explanation:
Everyday mathematics would include lower-level math skills and comprehension, such as adding 5 cups of flour and 2 cups of sugar to some batter. Academic mathematics would include more complex math skills and comprehensions, such as quadratic equations and interval notation. With one, you could pick up such skills just by living life. With the other, there is a higher chance that attending an educational institute would bestow such skills and understanding.
Answer:
???
Step-by-step explanation:
???
B is the midpoint of AC. Find the coordinates of C. B(-3,-3) and A(-1,-1)
Step-by-step explanation:
Let coordinates of B be ( x , y )
X coordinate of B = (-1 + x) / 2 = - 3
Y coordinate of B = (-1 + y) / 2 = -3
Therefore, coordinates of B are ( - 5, - 5 ).
Suppose the following are the city driving gas mileages of a selection of sport utility vehicles (SUVs). 19, 20, 19, 20, 18, 21, 17, 19, 24, 23, 21, 21, 17, 20, 20, 18 (a) Find the sample standard deviation (rounded to two decimal places). (b) In what gas mileage range does Chebyshev's inequality predict that at least 75% of the selection will fall
Answer:
answer below
Step-by-step explanation:
from the question the
mean = ∑x/n
∑x = 317
n = 16
mean = 19.8125
x x-Ц x-Ц²
19 -0.8125 0.66015625
20 0.1875 0.03515625
19 -0.8125 0.66015625
20 0.1875 0.03515625
18 -1.8125 3.28515625
21 1.1875 1.41015625
17 -2.8125 7.91015625
19 -0.8125 0.66015625
24 4.1875 17.53515625
23 3.1875 10.16015625
21 1.1875 1.41015625
21 1.1875 1.41015625
17 -2.8125 7.91015625
20 -0.8125 0.66015625
20 -0.8125 0.66015625
18 -1.8125 3.28515625
∑(x-Ц)² = 56.44
s.d = 1.9
b.
19.81 + 2*1.9= 23.61
19.81-2*1.9 = 16.01
=
The new 12 mile hiking trail is 150% of the length of the original trial. How long was the original trial?
Answer:
The answer is 8 milesStep-by-step explanation:
Let the original trail be x
From the question 150% of the trail is
12 mile
That's
150% of x = 12
So we have
[tex] \frac{150}{100} x = 12 \\ \\ \frac{3}{2} x = 12[/tex]
Multiply through by 2
That's
[tex]2 \times \frac{3}{2} x = 12 \times 2[/tex]
We have
3x = 24
Divide both sides by 3
We have the final answer as
x = 8
Therefore the length of the original trail is
8 milesHope this helps you
please help square root math
Answer:
2<∛13<3 1<∛6<2
Step-by-step explanation:
Lets find the integers a and b ∛13 lies between.
a<∛13<b
a³<13<b³
=> a=2 so 2³=8 and b=3 so 3³=27 8<13<27
Similarly a<∛6<b
a³<6<b³
a=1 and b=2
Addy’s monthly water bills for last year are $27, $31, $30, $26, $25, $27, $37, $33, $32, $28, $26, $26. Express the formula for the mean using sigma notation and calculate the mean water bill for the year. Extend Your Understanding
Answer:
Σ( xi ) / n ; $29
Step-by-step explanation:
Given the following data:
X= $27, $31, $30, $26, $25, $27, $37, $33, $32, $28, $26, $26
Number of observations (n) = 12
Mean formula (m) = ( Σ xi ) / n
Where i = each individual value in X
Mean water bill for the years is thus :
m = Σ [(27 + 31 + 30 + 26 + 25 + 27 + 37 + 33 + 32 + 28 + 26 + 26)] / 12
m = 348 / 12
m = 29
Hence, the mean water bill for the year is $29
15 POINTS!!!!!!!!!!!!!!
If an object is dropped from a height of h meters and it’s the ground in t seconds, then t = *square root* h/4.9. Suppose that an object is dropped from the top of a building that is 290.57 meters tall. How long does it take to hit the ground?
Round your answer to the nearest tenth....
?????? Seconds
Please state how many seconds first...
Answer:
7.7 seconds
Step-by-step explanation:
t = √(h / 4.9)
t = √(290.57 / 4.9)
t = √59.3
t ≈ 7.7
HELP PLS! Kaitlyn is about to retire from gymnastics. Over her career she was lucky to stay healthy enough to compete in many meets. Create a Frequency Table and Histogram of the medals she won each season. 30, 42, 56, 63, 18, 44, 53, 70, 72 ,78, 59, 66 Create a frequency table with five intervals. Then use that information to create a histogram.
Answer:
272 thats the umm..never mind heheh
find the values of x and y please and thank you
Answer:
x=26
y=9
Step-by-step explanation:
5x-17+3x-11=180
8x=180+17+11
8x=208
x=26
3(26)-11=78-11=67
2y+5=90-67
2y=90-67-5
2y=18
y=9
Below are two different functions, f(x) and g(x). What can be determined about their slopes?
f(x)= 4x + 2
A) function f(x) has a larger slope
B) the function g(x) has a larger slope
C) they both have the same slope
D) the relationship between slopes cannot be determined
===================================================
Explanation:
The slope of f(x) is 4, since the equation y = 4x+2 has slope m = 4. Compare this to y = mx+b.
The slope of g(x) is 5. Note how if we started at (0,-2) on the red line and moved up 5 and to the right 1, we arrive at (1,3) which is another point on the red line. You could use the slope formula
m = (y2-y1)/(x2-x1)
to get the same result.
Since the slope of f(x) is 4 and the slope of g(x) is 5, we see that g(x) has a larger slope. The g(x) line is steeper compared to f(x).
Identify the y-intercept of the function, f(x) = 2x2 + x - 4.
is ray AB same as ray BA?
Answer:
Yes
Step-by-step explanation:
Because a - - - - - - - - - - b
Same as b-----------------a
Solve for a
y = ax2 + bx + c
Answer:
Non-answer
Step-by-step explanation: Don't like my answer? Let me know!
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2".
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-(a*x^2+b*x+c)=0
STEP
1
:
Equation at the end of step 1
y - ax2 - xb - c = 0
STEP
2
:
Solving a Single Variable Equation
2.1 Solve y-ax2-xb-c = 0
In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.
We shall not handle this type of equations at this time.
Suppose that it snows in Greenland an average of once every 27 days, and when it does, glaciers have a 26% chance of growing. When it does not snow in Greenland, glaciers have only a 4% chance of growing. What is the probability that it is snowing in Greenland when glaciers are growing? (Round your answer to four decimal places.)
Answer:
0.1998
Step-by-step explanation:
This is a conditional probability question.
We solve this question using Bayes's Theorem of conditional probability.
P(A|B) = [P(B|A) × P(A)] ÷ [(P(B|A) × P(A))+ (P(B|A') × P(A'))]
Based on the information in the question, we have the following values.
Suppose it snows in Greenland once every 27 days.
Probability (it snows) = P(A) = 1/27
= 0.037037037
Approximately = 0.0370
Probability ( it doesn't snow) = P(A') = 1 - 0.0370 = 0.963
Probability ( that when it snow, glaciers grow) = P(B|A) = 26% = 0.26
Probability( that is doesn't snow , glaciers grow) = P(B|A)' = 4% = 0.04
Using the Bayes's Theorem of conditional probability
Probability that it is snowing in Greenland when glaciers are growing is =
P(A|B) = [P(B|A) × P(A)] ÷ [(P(B|A) × P(A))+ (P(B|A') × P(A'))]
= [0.26 × 0.0370] ÷ [(0.26 × 0.0370) + (0.04 × 0.963)]
= 0.00962 ÷( 0.00962 + 0.03852)
=0.00962 ÷ 0.04814
= 0.199833818
Approximately to 4 decimal places ≈ 0.1998
Therefore, probability that it is snowing in Greenland when glaciers are growing is 0.1998
If (a^2 + b^2) (x^2 +y^2) = (ax + by )^2 then which relation is true?
Answer:
Step-by-step explanation:
Hello,
Let's develop both expressions and try to re factorise.
[tex]\forall (a,b,x,y) \in \mathbb{R}^4 \\ \\ (a^2+b^2)(x^2+y^2)=(ax+by)^2\\ \\<=>(ax)^2+(ay)^2+(bx)^2+(by)^2=(ax)^2+(by)^2+2(ax)(by)\\ \\<=> (ay)^2+(bx)^2-2(ay)(bx)=0\\ \\<=> (ay-bx)^2=0\\ \\<=> ay-bx=0\\ \\<=> \boxed{\sf \bf ay=bx}[/tex]
Thanks
5 red balls, 2 white balls and 3 blue balls are arranged in a row. If the balls of the same color are not distinguished from each other. How many possible ways can they be ordered?
Answer:
27720
Step-by-step explanation:
So let's assume that in any arrangement we are not able to distinguish the balls having the same colour, so only different orders of the colours involved are counted.
If we number these balls we have 12 different numbers, 3 of which belong to the white balls, 4 belong to the blue balls and the final 5 belong to the red balls. They could be arranged in 12! different ways. Pick any of these arrangements.
The white balls in this arrangement are now ordered because I gave these balls a number. But I specifically stated in the first alinea that we were not interested in all these possible orders of the white balls within a sequence of 12 balls. So we must correct for these orders, there are 3! of these, each one leading to exactly the same visual order of white balls. The other colours lead to a correction of 4! and 5!. Moreover, these corrections are independent of each other. I can change the position of the white balls without interrupting the order of the colours of the remaining balls. So we should divide by the product of 3!,4! and 5!.
Total number of arrangement = 3,628,800
Arrangement based problem:Given that;
Number of red ball = 5
Number of white ball = 2
Number of blur ball = 3
Find:
Total number of arrangement
Computation:
Total number of balls = 5 + 2 + 3
Total number of balls = 10
Total number of arrangement = 10!
Total number of arrangement = 3,628,800
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Which is a reasonable first step that can be used to solve the equation 2 (x + 6) = 3 (x minus 4) + 5?
Answer:
x=19
Step-by-step explanation:
2(x+6)=3(x-4)+5
2x+2*6=3x-3*4+5
2x+12=3x-12+5
12+12-5=3x-2x
19=x
Answer:
distribute 2 to (x+6) and 3 to (x-4)
Step-by-step explanation:
Hitomi, Ben, and Gayle bought 3 pumpkins that weighed 15 pounds altogether. Ben and
Gayle's pumpkins each weighed the same amount.
Hitomis pumpkin weighed pounds. How much did Gayle's pumpkin weigh?
Answer:
5
Step-by-step explanation:
15/3=5 when the y are 3 it division
Answer:
What the other guy said
Step-by-step explanation:
HELP ME WITH THIS ONE PLEASE ✊
(The problem is in the picture)
Answer/Step-by-step explanation:
Length of rectangle = [tex] l [/tex]
Width of rectangle = [tex] \frac{1}{3} of l - 1 = \frac{1}{3}l - 1 = \frac{l}{3} - 1 [/tex]
A. Expression for finding area of the rectangle:
Area of rectangle is given as [tex] length*width [/tex]
[tex] Area = l(\frac{l}{3} - 1) [/tex]
Or
[tex] Area = l*\frac{l}{3} - l*1 [/tex]
[tex] Area = \frac{l^2}{3} - l [/tex]
b. Expression for finding perimeter:
Perimeter of rectangle is given as [tex] 2(Length + Width) [/tex]
[tex] Perimeter = 2(l + (\frac{l}{3} - 1)) [/tex]
Or
[tex] Perimeter = 2(l) + 2(\frac{l}{3} - 1) [/tex]
[tex] Perimeter = 2l + \frac{2l}{3} - 2) [/tex]
c. Quotient of Perimeter divided by area:
[tex] 2(l + (\frac{l}{3} - 1)) [/tex] ÷ [tex] l(\frac{l}{3} - 1) [/tex]
[tex]2(l + (\frac{l}{3} - 1))[/tex] ÷ [tex]\frac{l^2 - 3l}{3}[/tex]
Change the ÷ to × and flip the fraction on your right upside down.
[tex]2(l + (\frac{l}{3} - 1)) * \frac{3}{l^2 - 3l}[/tex]
[tex]2l + 2(\frac{l}{3} - 1) * \frac{3}{l^2 - 3l}[/tex]
The price of a used textbook after a 35% markdown is $28.60. What was the original price?
Answer:
28.60×.35=10.01
10.01+28.60=$38.61
Find the average value of the function y = 6 - x2 over the interval [-1, 4]
Answer:
The average value of the function [tex]f(x) = 6 - x^{2}[/tex] over the interval [tex][-1,4][/tex] is [tex]\frac{5}{3}[/tex].
Step-by-step explanation:
The average value of a function over an interval is represented by this integral:
[tex]\bar y = \frac{1}{b-a}\cdot \int\limits^{b}_{a} {f(x)} \, dx[/tex]
Where:
[tex]a[/tex], [tex]b[/tex] - Lower and upper bounds of the interval, dimensionless.
[tex]f(x)[/tex] - Function, dimensionless.
If [tex]a = -1[/tex], [tex]b = 4[/tex] and [tex]f(x) = 6 - x^{2}[/tex], the average value of the function is:
[tex]\bar y = \frac{1}{4-(-1)}\int\limits^{4}_{-1} {6-x^{2}} \, dx[/tex]
[tex]\bar y = \frac{6}{5}\int\limits^{4}_{-1} \, dx - \frac{1}{5}\int\limits^{4}_{-1} {x^{2}} \, dx[/tex]
[tex]\bar y = \frac{6}{5}\cdot x |_{-1}^{4} - \frac{1}{15}\cdot x^{3}|_{-1}^{4}[/tex]
[tex]\bar y = \frac{6}{5}\cdot [4-(-1)]- \frac{1}{15}\cdot [4^{3}-(-1)^{3}][/tex]
[tex]\bar y = \frac{5}{3}[/tex]
The average value of the function [tex]f(x) = 6 - x^{2}[/tex] over the interval [tex][-1,4][/tex] is [tex]\frac{5}{3}[/tex].
What is the pattern sequence for 1,2,5,6,9
Answer:
maybe : 1,2,5,6,9,10,13,14,17,
Step-by-step explanation:
I think it's in odd/even number pattern but it'll always skip a number???
or it's just in +1 then +3 pattern
The next terms of the pattern 1,2,5,6,9 are 10, 13,14,17,18,21.
What is sequence?Sequence is a collection of terms which are related in some way which is common to all the terms or some of the terms.
How to find terms of sequence?The pattern is given as 1,2,5,6,9 and we have to find the next terms of the pattern.
The First term is 1, the second term is 2. The difference between them is 1.
Second term is 2 and the third term is 5. The difference between them is 3.
Third term is 5 and the fourth term is 6. The difference between them is 1.
Fourth term is 6 and fifth term is 9. The difference between them is 3.
If we observe pattern in them them we can find that in first term they have added 1 , in second term 3 , in third term 1, in fourth term 3. It means first add 1 and then 3.
The next terms will be :
9+1=10
10+3=13
13+1=14
14+3=17
17+1=18
18+3=21.
Hence the next terms of the pattern 1,2,5,6,9 are 10,13,14,17,18,21.
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A project has an initial cost of $60,000, expected net cash inflows of $14,000 per year for 9 years, and a cost of capital of 14%. What is the project's IRR? Round your answer to two decimal places.
Answer:
74
Step-by-step explanation:
60,000 + 14,000
ANS 14%
ANSWER: 74
The project's IRR is approximately 13.45%.
We have,
To calculate the project's internal rate of return (IRR), we need to find the discount rate at which the net present value (NPV) of the project's cash flows is equal to zero.
Given:
Initial cost (C0) = $60,000
Net cash inflow per year (CF) = $14,000
Number of years (n) = 9
Cost of capital (r) = 14% = 0.14
To calculate the IRR, set up the equation:
[tex]0 = C0 + (CF / (1 + r)^1) + (CF / (1 + r)^2) + ... + (CF / (1 + r)^n)[/tex]
[tex]0 = 60,000 + (14,000 / (1 + r)^1) + (14,000 / (1 + r)^2) + ... + (14,000 / (1 + r)^9)[/tex]
By using a financial calculator or software, the IRR for this project is found to be approximately 13.45% when rounded to two decimal places.
Therefore,
The project's IRR is approximately 13.45%.
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what is the square root 3175 by division method
56.347..........
just simply put the value 3175 under division root and make pairs of 31 and 75.Now think of a number whose square will be nearest to 31 and that ll be 5.Now write 5 in the quotient and 5 also 5 under the divider.Now by multiplying 5 with the 5 in the quotient you ll get 25 write this under 31.And by adding 5 in the divider 5 youll get 10.write this under the divider.no by subtracting 25 from 31 you ll get 6 and by bringing 75 down it ll be 675.Now think of a number again and write it with 10.Like 6 into 6 is 36 and when you multiply 6 with 106 you ll get nearest number to 675 that ll be 636.Now because its giving a remainder just add a .0 in the question and continue to solve it the same way.And as it ll be a continuous answer so just add continuty dots........ or just round it off to nearest whole number
Answer:
56.347138347923
Step-by-step explanation:
Solve for x.
x + 3x + 5 =21
Answer:
x=4
Step-by-step explanation:
In order to solve for x, we must isolate x on one side of the equation.
x+3x+5=21
First, combine like terms. x and 3x are both terms with variables, and can be combined.
(x+3x) + 5=21
4x + 5=21
5 is being added to 4x. The inverse of addition is subtraction. Subtract 5 from both sides of the equation.
4x+5-5= 21-5
4x= 16
x is being multiplied by 4. The inverse of multiplication is division. Divide both sides by 4.
4x/4=16/4
x= 16/4
x=4
Let's check our solution. Plug 4 in for x and solve.
x+3x+5=21
4+3(4)+5=21
4+12+5=21
16+5=21
21=21
This solution checks out, so we know our answer is correct.
x is equal to 4, x=4.
Answer:
x = 4
Step-by-step explanation:
x + 3x + 5 = 21
4x + 5 = 21
4x = 21 - 5
4x = 16
x = 16/4
x = 4
verify:
4 + 3*4 + 5 = 21
4 + 12 + 5 = 21
What is -3 1/4 +1 1/2 on a number line
Consider the points R and S in the figure. How many different lines pass through
both R and S? Explain.
Answer:
Here we have two points R and S.
How many lines pass through both R and S?
Well, we can have only one line that passes through both R and S.
Because we are working with lines, we can only see a plane X-Y here.
Then the points R and S can be written as:
R = (x1, y1) and S = (x2, y2)
Now, a line or a linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
Now, let's suppose that we have two different lines that pass through points R and S.
From above, both lines must have the same slope, because they pass through the same points.
y1 = a*x + b
y2 = a*x + c
So the only thing that our lines can have different is the y-intercept, but the y-intercept acts as a vertical shift.
This means, if we have different values in the y-intercept, we will have two parallel lines.
And two parallel lines can never pass through the same points, which means that we can not have different values for the y-intercept.
Then the two lines must be identical.
Then there is only one line that passes through points S and R at the same time,
(16x²+24xy+9y²)÷(4x+3y)
Answer:
4x + 3y
Step-by-step explanation:
Answer:
4x+3y
Step-by-step explanation:
A company producing tennis racquets found that 3% of the racquets they produce are defective. The racquets are sent to shops in boxes of 6 and the shops send back boxes with more than one defective racquet. If a box is chosen at random and opened, what is the probability that it is sent back
Answer:
0.82
Step-by-step explanation:
The question says that three percent (3 out of 100) of the rackets (racquets) produced by the company are found to be defective.
First thing to calculate is the probability that 1 in a box of 6 rackets are defective.
That probability is gotten by cross multiplying, as illustrated below;
3 - 100
x - 6
x = (6×3)/100 = 18/100 = 0.18
Since the probability of having/finding 1 defective racket in a box of 6 is 0.18, the probability of finding more than 1 (minimum of 2 and maximum of all six) defective rackets in same box would be (1 - 0.18) = 0.82