Two ways to make the number 100 by inserting operations between the sequence 123456789 are 1+2+3-4+5+6+78+9=100 and 123-45-67+89=100.
Explanation:To create the number 100 by inserting mathematical operations (+, -, ×, ÷) between the numbers 1 to 9 sequenced as 123456789, we can approach the problem in several ways. Here are two solutions:
In the first solution, we primarily use addition, with a single subtraction to adjust the total to 100. The second solution uses both subtraction and addition, combining smaller numbers to form larger numbers that eventually add up to 100.
What is the square root of 25 over 36
Help Please?? 12. Of the following, which one is an observational study? A. Asking hearing-impaired people to try a new style of earphone to get their opinion B. Comparing survival rates between treating bone cancer with surgery versus treating it with radiation C. recording the daily output of a balloon factory for 6 months D. polling people on their favorite color I believe it would be 'C', yes?
Option 'C' is an example of an observational study because it involves recording data without manipulation from the researcher, fitting the definition of observing the natural state or habits of a situation over time.
Explanation:You have correctly identified option 'C' as an example of an observational study. In an observational study, researchers merely observe and record data without manipulating or intervening in the study environment or subjects. Option 'C', which involves recording the daily output of a balloon factory for 6 months, fits this description as it simply measures and records data over time without any intervention from the researcher.
It is different from a controlled experiment where variables are manipulated to assess the effect of treatments, as in option 'B', which compares survival rates between different treatments for bone cancer. Similarly, options 'A' and 'D' involve asking for opinions, which might be part of a broader observational study but are not observational studies by themselves.
In summary, an observational study is characterized by the purposeful absence of manipulation by the researcher and is designed to observe the natural state or habits of the subject or situation being studied.
A carpenter is making a brace for a chair. To do so she intersects two pieces of wood to make two sets of vertical angles. The ostuse angles formed are each 145 . What is the measurement of each acute angle formed
Tom jogged 3/5 mile on Monday and 2/6 mile on Tuesday how much farther did Tom joy on Monday then on Tuesday
What is 1 more ten than 11?
at 7 p.m. last night, the temputure was 10 degrees. At 7 a.m. the next morning, the temputure was -2 degrees. By how much did the temputure change From 7 p.m. to 7 a.m.
10 to 0 =10
0 to -2 = 2
10+2 =12
it changed by 12 degrees
What is 160,656 rounded to the nearest ten thousandth?
if bx-2=k then x equal
Factor the expression completely:
2x² + 5x - 12
Write y = 2x + 3 using function notation
Toby is making a picture graph each picture of a book is equal to 2 books he read the row for month 1 has 3 pictures of books how many books did T
oby read during month 1
Toby read 6 books during the first month by using the picture graph where each picture represents 2 books.
To determine how many books Toby read during month 1, follow these steps:
Understand each picture of a book represents 2 books read.Observe that Toby has 3 pictures of books for month 1.Multiply the number of pictures by the number of books each picture represents: 3 pictures * 2 books per picture = 6 books.Toby read 6 books during the first month.
Complete the general form of the equation of a sinusoidal function having an amplitude of 1, a period of pi/2, and a vertical shift up 3 units.
y =
(I don't have the option to use the characters "/" or "[tex] \pi [/tex]" so they must not be in the answer.
Answer:
y = sin 4x + 3
Step-by-step explanation:
A sine function is represented as y = a sin(bx + c) + d
Given values in the question are a = amplitude = 1
period = π/2 = 2π/b
Vertical shift d = 3 units up.
Horizontal shift c = 0
Since 2π/b = π/2
[tex]b=\frac{2\pi }{\frac{\pi }{2}} =\frac{4\pi }{\pi }=4[/tex]
Now the sinusoidal function will be
y = 1. sin( 4x ) + 3
y = sin 4x + 3
14-9x=-8(10+x) slove and show check
The next train will arrive in 32 minutes and 30 seconds. In how many seconds will the next train arrive
99 POINTS POSSIBLE!!!! I have a lot of math problems.....Please show your work also:) I will give Brainiest too!
1.Chase picked three buckets of blackberries that weigh: 2.79 pounds, 2.45 pounds, and 2.62 pounds. What is the average weight for the three buckets?
2. Ashley is baking cookies for math class. The recipe calls for 4 4/5 cups of flour. Ashley has to make 1 1/3 times the recipe to feed the whole class. How much flour does Ashley need?
3. Jordan finished her homework in 1 1/2 hours. It took Kasey 3/4 an hour longer than Jordan to finish her homework. How long did it take Kasey?
4. 32.5 divided by -0.08
5. 4.3x= 81.7 (Decimal Equation)
Thank you for helping me if you did!!!!!!!! I really appreciate it very much!!!!!!!
Hello!
1) 2.62
2) 4.8
3) 6.4
3) 2.25 hours
4) −406.25
5) X=19
I hope it helps!
Avery's class sold candy bars for a fundraiser. There were 20 bars in each box. Avery sold 4 boxes and an additional 8 bars. Express the total number of boxes that Avery sold as a mixed number. How many candy bars did Avery sell?
Answer:
she sold 4 2/5 boxes of candy bars.
In total, she sold 88 bars.
:))
Step-by-step explanation:
Find a ·
b. |a| = 60, |b| = 30, the angle between a and b is 3π/4.
To find the dot product of vectors a and b, we can use the formula: a · b = |a| |b| cos θ, where |a| and |b| are the magnitudes of vectors a and b, and θ is the angle between them.
Explanation:To find the dot product of vectors a and b, we can use the formula: a · b = |a| |b| cos θ, where |a| and |b| are the magnitudes of vectors a and b, and θ is the angle between them.
In this case, |a| = 60 and |b| = 30. The angle between a and b is given as 3π/4.
Therefore, a · b = 60 * 30 * cos (3π/4) = 60 * 30 * (-√2/2) = -1800√2.
What is 8.478 in expanded form
The expanded form of the given number is [tex]8+0.4+0.07+0.008[/tex].
Given:
The given number is [tex]8.478[/tex].
To find:
The expanded form of the given number.
Explanation:
Write the given number as the sum of the place values of its all digits to find the expanded form of the given number.
[tex]8.478=8+0.4+0.07+0.008[/tex]
Therefore, the expanded form of the given number is [tex]8+0.4+0.07+0.008[/tex].
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50779 divided by 590 equals
15/16 is 1 sixteenth groups of what size
Suppose that x is the age of a husband, and y is the age of his wife. if men always marry women who are 3 years younger than themselves, what is the equation for y (wife's age) as a function of x (husband's age)?
Go has 3 orange pick for every 2 green if ther are 25 picks in all how many picks are orange
Answer:
15
Step-by-step explanation:
It has been given that Go has 3 orange pick for every 2 green.
Hence, the ratio of Go to Green is 3:2
Total number of picks = 25.
Number of picks of orange in 25 picks is given by
[tex]\frac{3}{3+2}\times25[/tex]
Simplifying, we get
[tex]=\frac{3}{5}\times25[/tex]
Multiply the numerator, we get
[tex]=\frac{75}{5}[/tex]
Dividing, we get
[tex]=15[/tex]
Hence, the number of picks of orange are 15.
Find the standard equation of the circle having the given center (6,-2) and radius 1/5.
An acidophilus culture containing 150 bacteria doubles in population every hour. Predict the number of bacteria after 12 hours.
Markia saved for a new bike. The bike was on sale for a discount of 35%. The original cost of the bike was $270. How much did she pay for the bike?
Celia bought a bag of 12 goldfish for $3. What is the cost of 1 goldfish?
we know that
Celia bought a bag of [tex]12[/tex] goldfish for [tex]\$3[/tex]
so
by proportion
Find the cost of [tex]1[/tex] goldfish
[tex]\frac{3}{12} \frac{\$}{goldfish} =\frac{x}{1} \frac{\$}{goldfish} \\ \\x=3/12 \\ \\x=\$0.25[/tex]
therefore
the answer is
The cost of one goldfish is [tex]\$0.25[/tex]
Celia will pay 0.25 dollars for 1 goldfish. The cost of 1 goldfish is $ 0.25
The Total number of goldfish purchased is 12.
Cost price for 12 goldfish is $ 3.
Let the price of 1 goldfish be x dollars.
Therefore,
[tex]\begin{aligned}x \times\$12&=\$3\\x&=\dfrac{3}{12}\\x&=0.25\end{aligned}[/tex]
Hence, the cost of 1 goldfish is 0.25 dollars.
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What is 51,908 rounded to the nearest hundred dollar?
a jet descended 0.44 mile in 0.8 minute. What was the plane's average change of altitude per minute?
Can someone please help I need a clear explanation on how to solve this equation.
At Avery Middle School, 273 students responded to a survey asking whether a Bulldog, a Lion, or a Tiger should be the new school mascot. Four times as many students chose Bulldog as chose Tiger. Twice as many students chose Lion as chose Tiger. How many students chose Lion?
Answer:
78 students chose lion.
Step-by-step explanation:
Let x students chose tiger.
Let y students chose bull dog.
Let z students chose lion.
Total students = 273
[tex]x+y+z=273[/tex] ....(1)
Four times as many students chose Bulldog as chose Tiger.
[tex]y=4x[/tex]
Twice as many students chose Lion as chose Tiger.
[tex]z=2x[/tex]
Substituting the values of y and z in (1)
[tex]x+4x+2x=273[/tex]
=> [tex]7x=273[/tex]
x = 39 (students who chose tiger)
We have to find students who chose Lion or z (defined above)
[tex]z=2x[/tex]
[tex]z=2(39)[/tex]
So, z = 78
Therefore, 78 students chose lion.
Differentiate
y=(6x)/(1-cot(x))