Answer:
Irrational numbers
Step-by-step explanation:
To find out which subsets of real numbers [tex]\sqrt{42}[/tex] is in, we can look at what it does not fall into.
Natural numbers- These include 1, 2, 3..., which means that [tex]\sqrt{42}[/tex] cannot be a part of it
Whole numbers - These include 0, 1, 2 ..., which means that [tex]\sqrt{42}[/tex] cannot be a part of it
Integers- These include -2, -1, 0, 1, 2..., which means that [tex]\sqrt{42}[/tex] cannot be a part of it.
Rational - These include all the previous as well as anything that can be written as a fraction, which means that [tex]\sqrt{42}[/tex] cannot be a part of it
Irrational numbers - This includes anything that continues on endlessly, which this does when converted to a decimal, which means that this is the subset of real numbers that [tex]\sqrt{42}[/tex] belongs.
I don’t understand how to do this problem. How would I solve it?
Answer:
About 2.569 seconds
Step-by-step explanation:
To solve this problem, you can separate it into two half parabolas. The beginning part is initial upward rising. To calculate the amount of time that this part of the dive takes, you can use the formula [tex]v_f=v_o+at[/tex], where [tex]v_f[/tex] is the final velocity, [tex]v_o[/tex] is the initial velocity, a is the acceleration due to gravity, and t is the amount of time it takes. You know that the final velocity is 0, since the diver is reaching the terminal of their dive. Therefore, you can set up the following equation (assuming that the acceleration due to gravity is 32ft/s^2):
[tex]0=5+(-32)t[/tex]
[tex]t=5/32[/tex] seconds
To find the height that this indicates the diver has risen, you can plug this time into the following formula: [tex]d=v_o t+\frac{1}{2}at^2[/tex]
[tex]d=5(5/32)+\frac{1}{2}\cdot 32\cdot (5/32)^2\approx 1.172[/tex] feet
For the second part, you can use the equation [tex]d=v_o t+\frac{1}{2}at^2[/tex] again. Since the initial velocity for this part is 0, you can set up the following equation:
[tex]92+1.172=\frac{1}{2}\cdot 32 \cdot t^2[/tex]
[tex]t \approx 2.413[/tex]
Adding this to the time that the first part of the dive takes, you get a total of about 2.569 seconds. Hope this helps!
The drop that riders experience on Dr. Doom’s Free Fall can be modeled by the quadratic function, h(t) = −9.8t2−5t + 39
where h is height in meters and t is time in seconds.
Determine the actual solution to the questions below. Use the previous question to assist you.
(a) What is the starting height of the riders?
The starting height of the riders is meters.
(b) According to the function, when will the height of the riders equal 0? Round to the nearest tenths place. *hint: find the solution(s).
The height of the riders will equal 0 at seconds.
Answer:
a) 39 meters
b) t = 1.8 seconds
Step-by-step explanation:
a)
To find the starting height of the riders, we just need to use the value of t = 0 in the equation of h(t):
h(0) = -9.8*0^2 - 5*0 + 39
h(0) = 39 meters
b)
To find when the height will be equal 0, we just need to use the value of h(t) = 0 and then find the value of t:
0 = -9.8*t^2 - 5*t + 39
Delta = b^2 - 4ac = 25 + 4*39*9.8 = 1553.8
sqrt(Delta) = 39.418
t1 = (5 + 39.418)/(-2*9.8) = -2.2662 s (A negative value for the time is not suitable for the problem)
t2 = (5 - 39.418)/(-2*9.8) = 1.756 s
Rounding to nearest tenth, we have t = 1.8 s
John should drive to his workplace and back to home. On the way to the workplace it was raining, so he drove at a speed of 42mph. On the way back the rain was over so his speed was 54mph. What was John's average speed, for the whole trip?
Eric created a rectangular patio 1 ft.² paving stones which are sold in batches by a dozen the patio measures 7‘ x 8‘ how many batches of Pavingstone did Eric need
Answer:
The number of batches of paving stones Eric needs is 5 batches
Step-by-step explanation:
Here we have the size of of one paving stone = 1 ft²
The dimensions, size, of one patio = 7 ft × 8 ft = 56 ft²
Therefore, the number of paving stones Eric needs per patio is given by the relation;
[tex]Number\, of\ paving\ stones \ required =\frac{size\, of \, one\, patio}{size \, of \, one\, paving\, stone} = \frac{56 \, ft^2}{1 ft^2/(paving \, stone)} = 56 \, paving \, stones[/tex]
Since the paving stones are sold in batches of one dozen, we have ;
4 batches = 48 paving stones and 5 batches = 60 paving stones
Therefore, the number of batches of paving stones Eric needs = 5 batches.
I need some help with this.
Answer:
Sin A = 4/5
Step-by-step explanation:
sin theta = opposite / hypotenuse
sin A = 40/50
Sin A = 4/5
Answer:
0.8
Step-by-step explanation:
SinA = opposite/hypotenuse
= CB/CA
= 40/50
= 4/5
= 0.8
Grocery store polls every 20th custom to determine if they are satisfied with the cleanliness of the store. 40 customers are surveyed and 26 or satisfied. What conclusion can be drawn for the 800 daily customers
Answer: Of the 800 customers, 520 would be satisfied with the cleanliness of the store
Step-by-step explanation:
Here is the complete question:
A grocery store polls every twentieth customer to determine if they are satisfied with the cleanliness of the store. Forty customers are surveyed and 26 are satisfied. What conclusion can be drawn for the 800 daily customers?
A. 65% of the customers are unsatisfied with the cleanliness of the store.
B. Of the 800 customers, 520 would be satisfied with the cleanliness of the store
C. 40% of the customers are satisfied with the cleanliness of the store
We are informed that out of 40 customers that are surveyed, 26 are satisfied with the cleanliness of the store. This means that (26/40) = 13/20 = 65% are satisfied with the store.
If 800 customers are surveyed, this will mean that: 65% of 800.
= 65/100 × 800
= 65 × 8
= 520 will be satisfied.
* Approximate the value of V5 to the nearest hundredth.
Answer:
2.24
Step-by-step explanation:
If you mean sqrt(5), then the answer is 2.236, which rounds to 2.24
I'm going to assume you mean √5.
√5 is not a perfect square but it can evaluated into a non-terminating decimal.
√5 = 2.23606797...
Round to the nearest hundredth.
2.23606797... → 2.24
Therefore, the answer is 2.24
Best of Luck!
A basketball has a circumference of 31.4 inches. Using 3.14 as an approximation for pie, what is the basketball's volume to the nearest cubic inch?
Answer:
0.52 cubic inches
Step-by-step explanation:
Given: circumference of a basketball is 31.4 inches.
[tex]\pi =3.14[/tex]
To find: basketball's volume to the nearest cubic inches
Solution:
circumference of a basketball (sphere) = 6.28(radius)
Also, circumference of a basketball = 31.4 inches.
So, 6.28(radius) = 3.14
radius = [tex]\frac{3.14}{6.28}=\frac{1}{2}[/tex] inch
Volume of the basketball (sphere) = [tex]\frac{4}{3}(\pi )(radius)^3=\frac{4}{3}(3.14)(\frac{1}{2})^3=0.52\,\,cubic\,\,inches[/tex]
Simplify the following expression (6x2 + 8x - 3) - (3x2 - 6)
Answer:
3x^2 +8x +3
Step-by-step explanation:
(6x^2 + 8x - 3) - (3x^2 - 6)
Distribute the minus sign
(6x^2 + 8x - 3) - 3x^2 + 6
Combine like terms
3x^2 +8x +3
A spinner has 5 equal sections labeled 1 through 5. The bar graph shows the results of spinning the spinner 100 times. Which statement is true about not spinning a 1?
Answer:
The experimental probability is less than the theoretical probability.
Step-by-step explanation:
The probability of not spinning a 1 is the complement is 0.8.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
The theoretical probability of not spinning a 1 is 4/5 or 0.8.
This is because there are 4 sections labeled 2 through 5 that are not labeled 1, out of a total of 5 sections.
The probability of spinning a 1 is 1/5 or 0.2.
So the probability of not spinning a 1 is the complement of that, which is 4/5 or 0.8.
or
= 1 - 1/5
= 4/5
= 0.8
Thus,
The probability of not spinning a 1 is the complement is 0.8.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ3
The radius of a cylindrical water tank is 6.5 ft, and its height is 11 ft. What is the volume of the tank? Use the value 3.14 for pie, and round your answer to the nearest whole number. Be sure to include the correct unit in your answer.
Answer:
Step-by-step explanation:Idon't say you have to mark my ans as brainliest but my friend if it has helped you don't forget to thank me...
The volume of the cylindrical water tank with the given value of radius and height to the nearest whole number is 1459ft³.
What is a cylinder?
A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.
The volume of a cylinder is expressed as;
V = π × r² × h
Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )
Given the data in the question;
Radius r = 6.5ftHeight h = 11ftConstant pi π = 3.14Volume of the cylindrical water tank V = ?We substitute our values into the expression above.
V = π × r² × h
V = 3.14 × (6.5ft)² × 11ft
V = 3.14 × 42.25ft² × 11ft
V = 1459ft³
The volume of the cylindrical water tank with the given value of radius and height to the nearest whole number is 1459ft³.
Learn more on volume of cylinder here: brainly.com/question/16788902
it costs $12 to attend a golf clinic with a local pro. Buckets of balls for practice during the clinic costs $3 each. How many buckets can you buy at the clinic if you have $30 to spend?
Answer: If you take out the price of the golf clinic with a local pro, you could buy 6 buckets.
Step-by-step explanation:
Jake and Becky measured the circle-shaped part of a sun they drew on the sidewalk.
The diameter of the circle is 70 centimeters. What is the approximate area of the circle?
(Use 3.14 for Pi)
Answer:
3847
Step-by-step explanation:
To get your radius
diameter/2= 70/2=35.
Radius=35
Area=πr^2 =3.14x 35x35= 3846.5
approximately=3847
Measure of angle r is 22. Find the measure of angle 0
please please help me
Answer:
a) 22, b) i. 5/11, ii. 5/11, iii. 7/11
Step-by-step explanation:
a) 3+6+3+5+4+1 = 22 total number of students
b)
i. Number of girl/total number of students= 10/22 = 5/11
ii. blond hair/total number of students = 10/22 = 5/11
iii.
Number of girl/total number of students= 10/22 = 5/11
red hair/total number of students = 4/22 = 2/11
P(a girl or red hair) = 5/11 + 2/11 = 7/11
What is the value of z?
A.95
B.126
C.77
D.154
Answer:
B. 126
Step-by-step explanation:
85*2=170
170+64+x=360
234+x=360
x=126
Explain which is the better value for money
a) 250g of spread at $1.85, or
B) 500g of spread at $3.10, or
C) 1 kg of spread at $5.90,
Answer:
The answer is C.
Step-by-step explanation:
To start off 250g is $1.85 and we want to get to 500g so if we add $1.85 with $1.85 we will get $3.70. This amount is more than the number if we bought just 500g once than if we bought 250g twice, because if we did, we would be paying more. But that's not all, if we add 500g with 500g we will get $6.20. That's more than the original price for 1 kg and if we multiply 250g 4 times than we get 7.4. So in all we would buy 1 kg.
how many ways can you arrange SONG
Song= sngo, sogn, gnso, gosn, gnos, snog, 6 ways ?
===========================================================
Explanation:
We have four blank slots to fill. Call them slot A,B,C,D. There are 4 letters to pick from when filling slot A. After that selection is made, there are 3 letters left for slot B. This process keeps going til you count down to 1.
Multiplying those values out gives 4*3*2*1 = 24
-----------
Extra info:
This concept is given factorial notation of an exclamation mark, so you'd write 4! = 4*3*2*1 = 24 or simply 4! = 24.
Another example of factorial notation is 7! = 7*6*5*4*3*2*1. We start with 7 and count our way down til we get to 1, multiplying all along the way.
You could also use the nPr permutation formula [tex]_nP_r = \frac{n!}{(n-r)!}[/tex] though that isn't necessary in my opinion since it involves factorials which we already used above. If you use the permutation formula, then you would have n = 4 and r = 4. The n refers to the number of items you are arranging and r = 4 is the number of slots you are filling.
It turns out that [tex]_nP_r = \frac{n!}{(n-r)!} = n![/tex] when r = n.
You can think of it in a smaller chunk. If we fix S to be the first letter, then we have O,N,G to rearrange. There are 6 ways to do this as shown
ONGOGNNOGNGOGONGNOBasically showing that 3! = 6. We have 4 different ways to have the first letter be selected, so we have 4*6 = 24 permutations of SONG.
HELP PLEASE:
I am not understanding on how to solve this problem, and a step by step explanation would help a lot.
A random sample of 120 is taken from a population of 10000. From a previous survey, it is believed that 62% of the population has an Instagram account. Find the mean and standard deviation of the sample proportion. Give the standard deviation to two nonzero decimals (such as .012 and not .01).
(mean subscript p-hat) μˆp =
(standard deviation subscript p-hat) σˆp=
Answer: Mean of the sample proportion = 74.4
Standard deviation of the samnple proportion is 5.32.
Step-by-step explanation:
Given : A random sample of 120 is taken from a population of 10000.
Let n = 120
Also, from previous survey, it is believed that 62% of the population has an Instagram account.
i.e, population proportion : p = 0.62
Now , the mean of the sample proportin would be :
[tex]\text{Mean}=\mu_{\hat{p}}=np\\\\=120\times0.62=74.4[/tex]
i.e. Mean of the sample proportion = 74.4
The standard deviation of the samnple proportion would be :
[tex]\text{standard deviation}=\sigma_{\hat{p}}=\sqrt{np(1-p)}\\\\=\sqrt{120(0.62)(1-0.62)}\\\\=\sqrt{28.272}\\\\=5.31714208951\approx5.32[/tex]
Thus , the standard deviation of the samnple proportion is 5.32.
The probability for event A is 0.4, the probability for event B is 0.2, and the probability of events A and B is 0.1. Why are the events are not independent?
Answer:
Since [tex]P(A \cap B) \neq P(A)P(B)[/tex], these events are not independent.
Step-by-step explanation:
Independent events:
Two events, A and B are independent, if:
[tex]P(A \cap B) = P(A)P(B)[/tex]
In this question, we have that:
[tex]P(A) = 0.4, P(B) = 0.2, P(A \cap B) = 0.1[/tex]
However
[tex]P(A)P(B) = 0.4*0.02 = 0.08[/tex]
Since [tex]P(A \cap B) \neq P(A)P(B)[/tex], these events are not independent.
Answer:
C
Step-by-step explanation:
edg 2020
What the simplified radical form is
Answer:
3√7
Step-by-step explanation:
√63
√3x21
√3x3x7
3√7
The answer to 7/12 divided by 2
Answer: 7/24
Step-by-step explanation: Think of the 2 as 2/1.
When dividing by a fraction, we can simply change, we can simply change the multiplication sig to division and take the reciprocal of the second fraction or flip the second fraction.
So our problem can be rewritten as [tex](\frac{7}{12})[/tex] [tex]x[/tex] [tex](\frac{1}{2})[/tex].
Now multiplying across the top and bottom we get 7/24.
Answer:
7/24
Step-by-step explanation:
the guy was right! (also khan said so)
what is the slope of the line that passes through the points (-4,-4) and (-4,-9)? Write your answer in simplest form
Answer:
undefined
Step-by-step explanation:
We can find the slope of a line using two points by
m = (y2-y1)/(x2-x1)
= (-9- -4)/(-4 - -4)
= (-9+4)/(-4+4)
= -5/0
When we divide by zero, our solutions is undefined
The slope is undefined
3 POINSSSSSS
The bar graph shows the results of rolling a number cube (a die) 50 times. What is the probability of rolling an odd number? How does this compare with the theoretical probability of rolling an odd number?
Experimental Probability. Theoretical Probability
P(odd) = % P(odd) = %
Answer:
see below
Step-by-step explanation:
Experimental means what actually happened
P(odd) = (number of 1 + number of 3 + number of 5) / total
= (10+8+8) / 50
= 26/50
= 13/25 = 52%
Theoretical means what we expect to happen
P (odd) = (number of 1 + number of 3 + number of 5) / total
=(1+1+1)/6
=1/2 = 50%
We rolled an odd just a little more than the expected amount of times
Answer:
yes
Step-by-step explanation:
Kristen made sails for a model boat. She cut along the diagonal of a rectangular piece of cloth to make two sails, shown.
A) 2 1/3 ft
B) 2 7/12 ft
C) 4 2/3 ft
D) 9 1/3 ft
Answer:
2 1/3 ft^2
Step-by-step explanation:
Take the area of the rectangle
A = l *w
4 * 1 1/6
4 * 7/6
28/6
Divide this in half since the rectangle is cut in half by using the diagonal
28/6 *1/2
28/12
7/3
Changing to a mixed number
2 1/3
Which set of three angles could represent the interior angles of a triangle?
A:199, 709, 910
B:470, 120, 310
C:50°, 20° 20°
D:250, 250, 100%
Answer: B
Step-by-step explanation:
The feeder in the Example had 16 fl oz of food in it to start. How much food does it
have now? Show your work.
Amount of food in feeder at end is (16 - a) fl oz
Given that;
Amount of food in feeder in starting = 16 fl oz
Find:
Amount of food in feeder at end
Computation:
Assume;
a fl oz eats by animals
So,
Amount of food in feeder at end = 16 - a
Amount of food in feeder at end = (16 - a) fl oz
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solve equation for s , -12s -11 = -11s + 4
S=-15
Hope I helped :D
Determine the slope and y-intercept. 4x + y = -10
Answer:
slope = -4
y-intercept = -10
Step-by-step explanation:
First, isolate the y. Note the equal sign, what you do to one side, you do to the other. Subtract 4x from both sides:
4x + y = -10
4x (-4x) + y = -10 (-4x)
y = -4x - 10
Note the slope intercept form: y = mx + b
y = y
m = slope = -4
x = x
b = y-intercept = -10
Answer:
slope m=-4
y intercepts (0,-10)
Step-by-step explanation:
Students measure objects in their desks and the data are shown in the line plot below. If the objects are to be connected end to end,what would be the total length?
This question is incomplete because it lacks the diagram of the line plot. Find attached to the answer, the diagram of the scatter plot.
Answer:
35/8 inches or 4 3/8 inches.
Step-by-step explanation:
Reading the line plot, the number of objects is plotted vertically while the length of the object is arranged horizontally on the line plot.
The total length is calculated as: summation of the (Number of objects × Length of the objects)
= [(1/8 ×0) + (1/4×0) + (3/8 × 2) + (1/2 ×3) + (5/8 × 1) + (3/4 × 2) +(7/8 × 0)] inches
=[ 0 + 0 + 3/4 + 3/2 + 5/8 + 3/2 + 0] inches
= 35/8 inches or 4 3/8 inches.
Therefore, the total length of the objects if they are connect end to end is 35/8 inches or 4 3/8 inches.
