Answer:
7.30
Step-by-step explanation:
T = 2π √(L/32)
3 = 2π √(L/32)
3/(2π) = √(L/32)
(3/(2π))² = L/32
L = 32 (3/(2π))²
L ≈ 7.30
The length of the pendulum in feet nearest to hundredth is 7.29 feet.
What is an equation?
Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given that the equation for the time of one swing of a pendulum is
T = 2π √(L/32).
And pendulum makes one swing in 3 seconds.
Now T is 3 second.
So , substituting the value of T in given expression;
3 = 2π √(L / 32)
3 / (2π) = √(L / 32)
Taking square on both sides,
{ (3/(2π) }² = L / 32
L = 32 × { 3 / (2π) }²
L = 7.295
L ≈ 7.29
Therefore, the length of the pendulum in feet nearest to hundredth is 7.29 feet.
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425 / 3333 is it a rational number
The answer is yes, 425 divided by 3333 is a rational number.
A rational number is defined as any number that can be expressed as the quotient or fraction p/q of two integers, where the numerator p is an integer, and the denominator q is a non-zero integer. In this case, 425 is an integer, and 3333 is a non-zero integer. Therefore, the fraction 425/3333 is indeed a rational number.
To demonstrate this, we can perform the division:
[tex]\[ \frac{425}{3333} \approx 0.1275 \][/tex]
This decimal representation is a repeating decimal, which is another characteristic of rational numbers. Rational numbers either terminate after a finite number of digits or begin to repeat the same finite sequence of digits over and over. The decimal expansion of 425/3333 is a repeating decimal; hence, it satisfies the definition of a rational number.
Question 9 (5 points)
Moe has been offered two different summer jobs. Job A would pay him an hourly rate of $12. Job B would pay him $510 for a 40-hour work week. Which job has a higher rate of pay? There isn't enough information to determine which job has a higher rate of pay.
Job B
Job A and Job B have equal rates of pay.
Job A
Answer:
$12.75
Step-by-step explanation:
Moe has been offered two different summer jobs. Job A would pay him an hourly rate of $12. Job B would pay him $510 for a 40-hour work week. First, you have to set up the problem like this:
$510/40 hr = ?/1 hr
The next step is to either cross multiply or you can divide the numerator and denominator by the denominator number because 40/1 is still going to be 40. That means, $510/40= what number?
Answer: $12.75 per 1 hour
Cocoa plant type 1 yielded 155 bushels per acre last year at a research farm. This year,
cocoa plant type 2, planted in the same location, yielded only 123 bushels per acre and
there was a major freeze. The researchers do not know whether the difference is the
result of the superiority of type 1 or the freeze. What is this an example of? (4 points)
- Bias
- Confounding variable
- Matched-pairs desighs
- The placebo effect
- Replication
The confounding variable, often described as a confounder or confusing factor, is a dimension in studies looking at a possible causation link, and further calculation can be defined as follows:
It has connected both to the study's apparent cause and its ostensible impact. It can be difficult to differentiate between both the genuine relationship between the independent variable and the effect of a contextual factor.It is an external factor that alters the impact of variables to utilized to sway the findings of an experiment.Therefore, the final answer is "Confounding variable".
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Final answer:
The difference in yield between cocoa plant types due to potential freeze effects is an example of a confounding variable. Replication and control of confounding factors are necessary to ascertain true plant performance.
Explanation:
The situation described with cocoa plant types yielding different amounts of bushels per acre due to a potential major freeze is an example of a confounding variable. A confounding variable is an outside influence that changes the effect of a dependent and independent variable. This means that the difference in yield between the two types of cocoa plants may not solely be because of plant superiority but could also be significantly influenced by the freeze that occurred during the growing season of the second plant type.
To determine the true effect of the plant type on yield, researchers would need to conduct a study that controls for the confounding variable, in this case, the freeze. This could include replication of the experiment in various conditions or over multiple years to ensure that the results reflect the actual performance of the plant types rather than the effect of an abnormal weather event. Without this, it remains unclear whether the observed yield difference was indeed due to the inherent superiority of one cocoa plant type over the other.
where can you see the worlds biggest rock group math riddle
The answer to the math riddle 'Where can you see the world's biggest rock group?' is Mt. Rushmore. This riddle plays on the term 'rock group' to refer humorously to the monumental carvings of U.S. presidents on a mountain rather than a music band.
Explanation:The student has posed a math riddle: Where can you see the world's biggest rock group? Although this may seem like a question related to geography or music at first, it is actually a play on words and is categorized as a math riddle.
The answer to this riddle is: Mt. Rushmore, because it features the faces of four U.S. presidents, which can be seen as a 'rock group'. It is the 'biggest' since these faces are carved into a mountain and are of a monumental scale. This represents a playful twist on the term 'rock group' as it does not refer to a music band, but rather a group of presidential faces carved into rock.
This riddle is a fun way to engage with wordplay and illustrates how mathematics and numbers are not always about straightforward calculations but can also involve lateral thinking and humor.
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Find the value of y.
Iog 2 32 =y
Ο
Ο
OC. 6
Ο
D.
7
Answer:
B 5
Step-by-step explanation:
log 2(32)
Replace 32 with 2^5
log2 (2^5)
We know that log a^b = bloga
5 log2(2)
We know that loga(a) =1
5*1
5
A dog is tied with a rope to a stake in the ground the length of the rope is 5 yards what is the area in square yards in which the dog can roam
Answer:
≈ 78.54
Step-by-step explanation:
The formula to calculate the area of a circle is [tex]r^{2} *\pi[/tex]
in this case the radius is 5 so for [tex]r^{2}[/tex]
5 * 5 = 25
then we multiply that by [tex]\pi[/tex]
25 * [tex]\pi[/tex] ≈ 78.54
The area in square yards in which the dog can roam is approximately 78.54 square yards.
Explanation:To find the area in square yards in which the dog can roam, we need to find the area of a circle with a radius equal to the length of the rope. The formula for the area of a circle is A = πr^2, where A is the area and r is the radius. In this case, the radius is 5 yards. Using the formula, the area is A = π(5^2) = 25π square yards, or approximately 78.54 square yards.
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equation, an identity, or a contradiction.
7v+42=11(3v+8)−2(13v−1)
Answer:
48
Step-by-step explanation:
7x+42=11(3x+8)−2(13x−1)
Step 1: Simplify both sides of the equation.
7x+42=11(3x+8)−2(13x−1)
7x+42=(11)(3x)+(11)(8)+(−2)(13x)+(−2)(−1)(Distribute)
7x+42=33x+88+−26x+2
7x+42=(33x+−26x)+(88+2)(Combine Like Terms)
7x+42=7x+90
7x+42=7x+90
Step 2: Subtract 7x from both sides.
7x+42−7x=7x+90−7x
42=90
Step 3: Subtract 42 from both sides.
42−42=90−42
0=48
Answer: contradiction
Step-by-step explanation:
7v+42=11(3v+8)-2(13v-1)
Open the bracket
7v+42=33v+88-26v+2
7v+42=33v-26v+88+2
7v+42=7v+90
Collect like term
7v-7v=90-42
0=48
This shows that
7v+42=7v+90 contradict
URGENT!
Marcus has a bag that contains 5 identically shaped boxes. 3 of the boxes are blue and 2 are green. 2 of the blue boxes have a prize , and 1 of the green boxes has a prize 1 of the green boxes has a prize. Marcus randomly selects a box from the bag. Let A be the event that he selects a blue box and B be the event that the box contains a prize. Which of the following statements are true?
A. P(A|B) = P(A)
B. P(B|A) = P(B)
C. Events A and B are independent events
D. The outcomes of events A and B are dependent on each other.
Answer:
D. The outcomes of events A and B are dependent on each other
Step-by-step explanation:
The correct probabilities for the stated events are P(A|B) = 2/3, P(B|A) = 2/3, meaning both statements A and B are false. Since these probabilities are not equal to P(A) and P(B) respectively, this shows the events A and B are not independent, making statement C false and D true.
Explanation:To solve the problem, we first need to define the events. Event A is that a box selected is blue, and Event B is that the selected box contains a prize. We're asked to verify certain probabilities related to these events.
First, let's find the total probability of each event. The probability of selecting a blue box (Event A) is 3/5 because there are 3 blue boxes out of 5 total. The probability of selecting a box with a prize (Event B) is 3/5, as 3 of the 5 boxes contain a prize.
The probability of A given B, P(A|B), is the probability that a selected box is blue, given that it contains a prize. We know there are 3 boxes with prizes, and of those, 2 are blue. So, P(A|B) = 2/3. This is not equal to P(A) = 3/5, so Statement A is false.
The probability of B given A, P(B|A), is the probability a selected box contains a prize, given that it is blue. We know there are 3 blue boxes and 2 of them have prizes. So, P(B|A) = 2/3. This is not equal to P(B) = 3/5, so statement B is false as well.
This means Events A and B influence each other and are, therefore, not independent. This makes Statement C false and Statement D true.
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ellie buys a mobile phone in spain €352.50 her brother jack buys an identical phone in japan for ¥39856 work out how much it is in £
Answer:
a) The best deal was in Japan
b) The difference is £38
Step-by-step explanation:
First, find out the cost in pounds for both of the purchases.
Japan:
39856 / 188 = 212.
the Japanese phone cost £212.
Spain:
352.50 / 1.41 = 250.
the Spanish phone cost £250.
Then, subtract the costs to find the difference:
250 - 212 = 38
The Identical phone in Japan is €28163.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Price of the phone in Spain = €352.50
Price of the phone in Japan = ¥39856
Now,
€1 = ¥141.52
Multiply 39856/141.52 on both sides.
39856/141.52 x 1€ = 39856/141.52 x ¥141.52
€28163 = ¥141.52
Thus,
The cost of a phone in Japan is €28163.
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5. Ricky invested $1000 in an account at 8% interest compounded quarterly. How much money will he have earned on the account after 7 years?
A. $1,741.02
B. $1,713.82
c. $713.82
D. $741.02
Please help I’m giving a lot of points I need this now
Answer:
the answer is b
Step-by-step explanation:
Final answer:
Ricky will have earned C. $713.82 on his $1000 investment at 8% interest compounded quarterly after 7 years, totaling $1,713.82 in the account.
Explanation:
Ricky invested $1000 in an account at 8% interest compounded quarterly. To calculate the future value of his investment after 7 years, we use the formula for compound interest: A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, including interest, P is the principal amount (the initial amount of money), r is the annual interest rate (decimal), n is the number of times that interest is compounded per year, and t is the time the money is invested for in years.
Given:
P = $1,000
r = 0.08 (8% written as a decimal)
n = 4 (compounded quarterly)
t = 7 (7 years)
Now we plug these values into the formula.
A = 1000(1 + 0.08/4)^(4*7)
A = 1000(1 + 0.02)^(28)
A = 1000(1.02)^28
A = $1,713.82
The correct answer is B. $1,713.82.
The diameter of a cylindrical construction pipe is 4 ft. If the pipe is 16 ft long, what is its volume?
Use the value 3.14 for , and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answer: 201 square feet
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a cylinder: π x radius² x height (in our case the length of the pipe)
Since:
Diameter = radius x 2
In our case D =4
4 = 2radius
Radius= 4/2 = 2 ft
Now that we have the radius, we can use the volume formula replacing with the values given:
V = 3.14x 2² x 16 = 3.14 x 4 x16 =200.96 = 201 square feet
Rearrange the equation so u is the the independent variable. 4u+8w=-3u+2w
Answer:
(Please vote me Brainliest if this helped!)
[tex]u=\frac{-6}{7}w[/tex] OR [tex]w=\frac{-7}{6} u[/tex]
Step-by-step explanation:
[tex]4u+8w=-3u+2w[/tex]
[tex]4u-(-3u)+8w=2w[/tex]
[tex]4u+3u=2w-8w[/tex]
[tex]7u=-6w[/tex]
[tex]u=\frac{-6}{7}w[/tex] OR [tex]w=\frac{-7}{6} u[/tex]
Independent variable is the variable you change.
Dependent variable is the variable you measure that results/depends on the independent variable.
Since u is the independent variable, you need to set the equation equal to w by isolating/getting the variable "w' by itself in the equation:
[This is because u is the variable you change, and w is the variable you measure that depends on the independent variable(u)]
4u + 8w = -3u + 2w Subtract 2w on both sides to get "w" on one side of the equation
4u + 6w = -3u Subtract 4u on both sides
6w = -7u Divide 6 on both sides to get "w" by itself
[tex]w=\frac{-7u}{6}[/tex]
Please help, lateral area. Math 10 b unit 4 lesson 3 quiz
Answer:
I think 140
Step-by-step explanation:
I need help with this other 1 last question and that is it, I'll do the rest!
Answer:
DO IT ON UR OWN EARTHLING
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
Solve the system of linear equations using elimination.
−7x + 3y = −6
−3x + 3y = 6
A) (3, 5)
B) (3, −5)
C) (−3, 5)
D) (−3, −5)
Answer:
Option A) x = 3 and y = 5
Step-by-step explanation:
−7x + 3y = −6_____ first equation
−3x + 3y = 6_____ second equation
Since both equations have "y" that share the same coefficients (that is 3),we can solve this equation.
---First step is to subtract the equation 2 from 1
−7x + 3y = −6
−3x + 3y = 6
From the above equation, we have
-4x = -12
Divide both sides by -4
X = 3
--- Substitute x = 3 in equation 1
−7x + 3y = −6
-7(3) + 3y = -6
-21 + 3y = -6
3y = 21 - 6
3y = 15
Y = 5
X = 3 and y = 5( option a)
Please help!
I am having trouble with this problem
Answer:
its 60 or 80 because its lower than one side
Step-by-step explanation:
Find the area of a polygon using the given apothem
Plz anwser, will mark brainest!! Tell me what u did, plz anwser nobody else will
Answer: 7) 162.15 yd^2 8) 439.7 yd^2 9) 151.42 yd^2
Step-by-step explanation:
Two rectangular prisms have the same volume. The area of the base of the blue prism
is 4 1/8 square units. The area of the base of the red prism is one-half that of the blue
prism. Which statement is true?
CLEAR
CHECK
A.The height of the red prism is four times the height of the
blue prism.
B.The height of the red prism is two times the height of the
blue prism.
C.The height of the red prism is one-half the height of the
blue prism.
D.The height of the red prism is the same as the height of
the blue prism.
The height of the red prism must be twice the height of the blue prism.
Volume of a prism can be calculated as the area of the base multiplied by the height. Since the height of the blue prism is twice that of the red prism, the height of the red prism must be twice as much as that of the blue prism to make the volumes equal.
If x = 1/2, then x − 1/2 = 0. This is the same as (?) = 0.
In completely factored form, f(x) = (?).
Answer:
2x-1 =0 F(x)=(x+1)(x-2)(2x-1)^2
Step-by-step explanation:
Answer:
2x-1
(x+1)(x-2)(2x-1)^2
Step-by-step explanation:
What is the range of the data below?
100
105
110
115
120
125
A 2 B 5 C 12 D 13
Answer:
The answer is 25 but I don't see and answer choice for it.
Step-by-step explanation:
The Range is the difference between the lowest and highest values.
so,
125-100=25
A right triangle has legs of length 4x and 20x. What is an expression for the hypotenuse of the right triangle
Answer:
[tex]4x\sqrt{26}[/tex].
Step-by-step explanation:
Given information:
[tex]Leg_1=4x[/tex]
[tex]Leg_2=20x[/tex]
According to the Pythagoras theorem,
[tex](hypotenuse)^2=(Leg_1)^2+(leg_2)^2[/tex]
Using Pythagoras theorem, we get
[tex](hypotenuse)^2=(4x)^2+(20x)^2[/tex]
[tex](hypotenuse)^2=16x^2+400x^2[/tex]
[tex](hypotenuse)^2=416x^2[/tex]
Taking square root on both sides.
[tex]hypotenuse=\sqrt{416x^2}[/tex]
[tex]hypotenuse=4x\sqrt{26}[/tex]
Hence, the expression of the hypotenuse is [tex]4x\sqrt{26}[/tex].
Final answer:
To determine the hypotenuse of a right triangle with legs measuring 4x and 20x, the Pythagorean theorem is applied, resulting in an expression for the hypotenuse as 20.4x.
Explanation:
To find an expression for the hypotenuse of a right triangle with legs of length 4x and 20x, we can apply the Pythagorean theorem, which is written as a² + b² = c², where a and b are the lengths of the legs, and c is the length of the hypotenuse. Solving for c, we get c = √(a² + b²). Plugging in the lengths of our legs, we have:
c = √((4x)² + (20x)²)
c = √(16x² + 400x²)
c = √(416x²)
c = 20.4x
This suggests that the expression for the hypotenuse of the right triangle is 20.4x.
A fitness club charges $100 to join and $33 for each month.
Part A
Choose an expression for the word problem above.
Part B
Find the cost for 6 months of membership.
Answer:
100 + 33m, $298
Step-by-step explanation:
33 times 6 plus 100
Answer:
298
Step-by-step explanation:
4. Which of the following points on the number line best represents 5/8?
F. Point A
G. Point C
J. Point D
H. Point B
Answer:
point b
Step-by-step explanation:
Points Q and R are midpoints of the sides of triangle ABC.
What is AQ?
4p QB
10 units
14 units
20 units
32 units
Answer:
Hey there!
Your answer is: 20 units
Hope this helps!
The length of AQ would be,
⇒ AQ = 20 units
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
Points Q and R are midpoints of the sides of triangle ABC.
Hence, By definition of proportion we get;
QR / AQ = CB / AB
2p + 3 / 4p = 6p - 4 / 8p
2 (2p + 3) = (6p - 4)
4p + 6 = 6p - 4
6 + 4 = 6p - 4p
10 = 2p
p = 5
Thus, The length of AQ would be,
⇒ AQ = 4p = 20 units
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Name the quadrant in which the angle lies.
859°
Answer:
2
Step-by-step explanation:
|x−7 |=x−7
plz help show steps
Answer:
All numbers from 7 and up (x is greater than or equal to 7)
Step-by-step explanation:
|7-7| =7-7
0=0
|8-7|=8-7
1=1
BUT
|6-7| =/= 6-7
1 =/= -1
Answer:
Step-by-step explanation:
Juan is paid a salary of $1400 biweekly. What are his yearly earnings?
Answer:
Assuming biweekly means once every two weeks, then Juan makes $36,400 per year.
Step-by-step explanation:
I'll assume biweekly means that he's paid once every two weeks.
There are 52 weeks in a year, meaning he's paid 26 times a year (52/2=26).
26 x $1,400 = $36,400
Juan is paid a salary of $1400 biweekly then his yearly earnings
⇒ $72,400
Salary paid by Juan = $1400 weekly
Then we have to calculate his annual salary .
Since we know that,
There are 52 weeks in a year.
Since Juan's 1 week salary = $1400
Then his 52 weeks salary is calculated by multiplying 52 with the weekly amount.
Therefore,
His 52 weeks earning = 52x1400
= $72,400
Hence,
His annual earnings = $72,400
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Find the lengths of the triangle.
Answer:
AB= 10 BC= 17 AC= 10 x=10
Step-by-step explanation:
trust me
Of the following, which option or options would help make this graph less misleading? I. The y-axis should be labeled. II. The scale on the y-axis should be resized. III. The scale on the x-axis should be resized. a. I only b. I and II c. II only d. I, II, and III
ANSWER IS A
Answer:
A. I only
The y-axis should be labeled
Step-by-step explanation:
Proper labelling of the axis would help graph less misleading. When plotting graph, both x and y axis must be properly scaled by representing each unit with a reasonable measurement e.g taking 2cm as 1unit, 5cm as 1unit etc.
Note that rescaling the axis will only make the graph look ambiguous and confusing, therefore we must desist from scale resizing.
A graph can be misleading is if the y axis is not labeled or the correct scale are not used for either of the y axis or x axis.
What is a graph?A graph is a pictorial representation diagram composed of points which are connected so as to show the relationship between two or more variables.
A graph can be misleading is if the y axis is not labeled or the correct scale are not used for either of the y axis or x axis.
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x2 + 4x + xy + 4y
Whats the answer for this?
Assuming you want to factor, then you would use the factor by grouping method
x^2+4x + xy+4y
(x^2+4x) + (xy+4y)
x(x+4) + y(x+4)
(x+y)(x+4)
Therefore, x^2+4x + xy+4y factors to (x+y)(x+4)