Answer:
T₂ = 1.2 s
Step-by-step explanation:
The time period of a simple pendulum is given by :
[tex]T=2\pi \sqrt{\dfrac{L}{g}}[/tex]
Where
L is length of the pendulum
g is acceleration due to gravity
We have,
T₁ = 1.4 s, L₁ = 0.49 m, L₂ = 0.36 m, T₂= ?
[tex]\dfrac{T_1}{T_2}=\sqrt{\dfrac{L_1}{L_2}} \\\\T_2=\dfrac{T_1}{\sqrt{\dfrac{L_1}{L_2}}}\\\\T_2=\dfrac{1.4}{\sqrt{\dfrac{0.49}{0.36}}}\\\\T_2=1.2\ s[/tex]
So, the new time period is equal to 1.2 seconds.
Raul tossed a coin and spin a spinner with three equal sections. Based upon the results, what is the probability of tossing a tail and spinning a 2?
F. 1/10
G. 1/9
H. 1/8
J. 3/20
The experimental probability of tossing a tail and spinning a 2 is given by: Option H: 1/8
What is experimental probability?Experimental probability calculates the probability of some event from the results of experiments.
For an event E, we get the experimental probability of that event
[tex]P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}[/tex]
where, [tex]P_e(E)[/tex] is denoting experimental probability of occurrence of E.
For this case, the table is missing, the results recorded were:
Toss Spin Frequency
Head 1 2
Head 2 6
Head 3 7
Tail 1 7
Tail 2 5
Tail 3 13
That means total number of times experiment was done was: 2+6+7+7+5+13=40
Let we take E = event of tossing a tail and spinning a 2
Thus, from the table, we see that E occurred 5 times.
Thus, based on this, the experimental probability of occurrence of E is:
[tex]P_e(E) = \dfrac{5}{40} = \dfrac{1}{8}[/tex] (option H)
Learn more about probability here:
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a cylinder shaped water pitcher has a radius of 5 inches and a height of 12.5 inches find the surface area of the pitcher
A.5495 in² B. 54.95 in²
C.549.5 in² D. 5.495 in²
A cylinder shaped water pitcher has a radius of 5 inches and a height of 12.5 inches. Find the surface area of the pitcher.
Answer:-Given:-[tex] \bullet [/tex] Radius (r) of a cylinder shaped water pitcher = 5 inches.
[tex] \bullet [/tex] Height (h) of a cylinder shaped water pitcher = 12.5 inches.
To Find:-The surface area of the pitcher.
Solution:-We know,
Formula of Surface area of a cylinder is 2πr(r + h) sq. units.
So,
Surface area of the pitcher = 2 × 3.14 × 5(5 + 12.5)
Surface area of the pitcher = 31.4 × 17.5
Surface area of the pitcher = 549.5 in²
[tex] \therefore [/tex] The surface area of the pitcher is 549.5 in².
Hence, the option (C) 549.5 in² is correct. [Answer]
The surface area of the cylinder is 549.50 in².
What is the surface area of the cylinder?A cylinder is a three-dimensional object. It is made up of a prism with a circular base. The total surface area is the sum of the areas of the faces or surfaces of a 3-dimensional object
Total surface area = 2πr(r + h)
Where:
π = 3.14r = 5 h = height2 x 3.14 x 5 (5 + 12.5) = 549.50 in²
Help please and thanks <33
Answer:
The 4th one (bottom)
Step-by-step explanation:
[tex]\frac{2}{3}x - 5 > 3\\\frac{2}{3}x > 3 + 5\\\frac{2}{3}x > 8\\x > 8 / \frac{2}{3} \\x > 12\\[/tex]
> sign means an open circle over 12, shaded/pointing to the right. The 4th option is your answer
Chris has 150 Pokemon cards. Each week,
Chris purchases 15 Pokemon cards to add
to his collection. Which inequality can be
used to find w, the number of weeks after
starting his collection when Chris will have
more than 500 Pokemon cards in his
collection?
A.
150w + 15 < 500
B.
15W + 150 < 500
C.
150w + 15 > 500
Need He
D.
15W + 150 > 500
Answer:
D
Step-by-step explanation:
He already has 150 cards and he is buying 15 cards EACH WEEK. W represents the amount of weeks and since 15W +150 needs to be greater than 500 we need to use this lil guy (>)
PLS HELPP
Find the surface area.
Answer:
To find the area of the rectangle, just multiply the two edges together. Area (bottom edge) = length times width = lw.
Step-by-step explanation:
l=12in
w=5in
h=3in
Area(all)=lw+lw+wh+wh+lh+lh
Area(all)=12×5+12×5+5×3+5×3+12×3+12×3
Area(all)=222 square inches
You wish to test H 0 : μ d = 0 versus H a : μ d < 0 at a significance level of 0.10. For the context of this problem, μ d = μ 2 − μ 1 where the first data set represents a pre-test and the second data set represents a post-test. You obtain pre-test and post-test samples for n d = 28 subjects. The average difference (post - pre) is ¯ x d = − 4.3 with a standard deviation of the differences of s d = 45.5 .
What is the test statistic?
Answer:
0.5
Step-by-step explanation:
Given :
H0 : μd = 0 VS H1 : μd ≠ 0
Test statistic :
xd / (sd ÷ √n)
Where ;
xd = mean difference = -4.3
sd = standard deviation of difference = 45.5
n = sample size = 28
The test statistic is thus :
-4.3 / (45.5 / √28)
-4.3 / 8.5986917
= 0.5000760
Hence, test statistic = 0.5
Write 34/5 as a mixed number. 4 5/6 3 4/5 6 4/5 6 5/4
Answer:
6 4/5
Step-by-step explanation:
Given P(A) = 0.74, P(B) = 0.6 and P(ANB) = 0.494, find the value of
P(AB), rounding to the nearest thousandth, if necessary.
Step-by-step explanation: Since we have given, P(A) = 0.75 and P(A|B) =0.8 .
So, P(A∩B) = P(B|A)× P(A) = 0.8×0.75 =0.6 .
We have given P(B|A') = 0.6
P(A’∩B) = P(B|A')×P(A') = 0.6 × 0.25 = 0.15.
P(B) = P(A∩B) + P(A'∩B) = 0.6 + 0.15 = 0.75.
=> P(A|B) = (∩)()=0.60.75
P
(
A
∩
B
)
P
(
B
)
=
0.6
0.75
= 0.8 .
Please help
If m1 = 46°, what is m2?
A.
134°
B.
44°
C.
88°
D.
54°
Answer:
B. 44°
Step-by-step explanation:
That's it.
90° + 46° + 44° = 180°
Answer:
m2 = 44°.
Step-by-step explanation:
The sum of the measures of the angles of a triangle always equals 180°.
One of the angles is a right angle, so its measure is 90°.
Let n equal m2.
90+46+n=180
n=44
Therefore, m2 = 44°.
Two women share 60 eggs
it the ratio 1 to 2. How many eggs does each recieves?
Answer:
One woman receive 20 eggs
And the other receive 40 Egss
Explanation:
So the ratio is 1:2 so we gonna add them to get the total so 1+2=3
To find each amount divide each by the total so 1/3 and 2/3
To find the first amount
1/3×60=20
To find the other amount you can either subtract
60-20=40
or
2/3×60=40
One woman receive 20 eggs and the other receive 40 eggs.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
So the ratio is 1:2 so we have to add them to get the total.
So 1+2=3
In order to find each amount divide each by the total.
So 1/3 and 2/3
The first amount,
1/3 × 60 = 20
The other amount,
60-20=40
or
2/3 × 60 = 40
Thus, One woman receive 20 eggs and the other receive 40 eggs.
Learn more about the unitary method;
https://brainly.com/question/23423168
#SPJ2
1 point
Jill's great grandfather is 92 years old. Jill is 12 years old. Jill is
approximately what percent of her great-grandfather's age?
st
Answer:
I do not know
Step-by-step explanation:
As part of the global economy, the United States plays the role ot:
A. the country with the lowest standard of living,
B. the largest of the developing countries,
O c. the country most focused on agriculture.
D. the most economically powerful country.
Answer:
D: the most economical powerful country
Step-by-step explanation:
The USA is the most economical powerful country. In the Great Depression, it affected the whole world.
Look at the figure. If <1=<2 describe the relationship between lines a and b
A. The lines are transversals
B.the lines are parallel
C.the lines are perpendicular
D. The lines intersect
Without using a calculator, match each expression to the correct point.
b
牛
6
7
8
9
10
Point Expression
a
173
b
37
7.81
Simplify the Expression and EXPLAIN what you did and WHY.
-3(4m+3)+2m
Answer:
-10m-9
Step-by-step explanation:
open the bracket by multiplication
-3 × 4m= -12m
-3 × 3= - 9
-12m - 9 +2m
arrange like terms together
-12m +2m -9
-10m -9
there are 4 roses for every 7 carnations in a bouqeuet. Mr rodriguez buys a bouqeuet with 12 roses in it. How many total flowers are in the bouqeuet Mr rodriguez bought?
Please explain
Answer:
Step-by-step explanation:
there is a 4 to 7 ratio in the first situation.
so if there is (4*3) the it would be (7*3) so it would be 21 carnations
this gives 12+21 for a total of 33 flowers.
the ratio is 4/7 so you could also go (4/7)(12) and then add that to the original 12 in the boqouet in order to get the same answer. Hope this helps!
x - 2y = 0
2x + y = 5
Use the graph at the right. Find the vertices of the image of QRTW for a dilation with center (0,0) and a scale factor of 12.
Answer:
you need to insert the graph's picture lol
Step-by-step explanation:
Answer the following questions by choosing whether the first situation is less, equally, or more likely to happen than the second.
PART A
The probability of a chance event is 0.32, is likely to happen when compared to 1/3
Answer:
probably g
Step-by-step explanation:
A right cylinder has a radius of 3 and a height of 12. What is its surface area? O A. 72 units O B. 90 units O c. 45rt units O D. 108r units
Answer:
[tex]A=72\pi\ units^2[/tex]
Step-by-step explanation:
Given that,
The radius of the cylinder, r = 3
Height of the cylinder, h = 12
We need to find the surface area of the cylinder. The formula for the surface area of a cylindrical object is given by :
[tex]A=2\pi rh\\\\=2\times \pi\times 3\times 12\\\\=72\pi\ units^2[/tex]
So, the surface area of the cylinder is equal to [tex]72\pi\ units^2[/tex].
Ms. Gonzalez had $70 to purchase school supplies for her class. She bought 29 glue sticks and 29 boxes of crayons. Each glue stick cost $1.29, and each box of crayons cost $0.79. How much money did Ms. Gonzalez have left after these purchases?
Which of the following rules describes the function graphed below?
Output = Input
Output = 2 • Input − 1
Output = Input + 2
Output = 3 • Input − 2
Answer:
Output= 3 • Input - 2
Step-by-step explanation:
x | y
3 • x - 2
--------------
1 | 1
2 | 4
3 | 7
4 | 10
Answer: last option - output=3 · input - 2
Step-by-step explanation:
A cylinder soup has a radius of 1,6 in and is 5/7 in. tall what is the volume
Answer:
[tex]V=0.0623\ inch^3[/tex]
Step-by-step explanation:
Given that,
The radius of cylinder, r = 1/6 inch
The height of the cylinder, h = 5/7 inch
We need to find the volume of the cylinder. The formula for the volume of a cylinder is given by :
[tex]V=\pi r^2 h\\\\=3.14\times (\dfrac{1}{6})^2\times \dfrac{5}{7}\\\\V=0.0623\ inch^3[/tex]
So, the volume of the cylinder is equal to [tex]0.0623\ inch^3[/tex].
Review the graph of function g(x).
On a coordinate plane, a graph repeats multiple time with a maximum of (0, negative 2) and minimum of (0, negative 8) near the y-axis. It curves up to (0.5, negative 2) and then curves down through (3, negative 4). It curves down to (negative 0.5, negative 8) and curves up through (negative 3, negative 8).
Esai claims that Limit of g (x) as x approaches 0 is both –2 and –8 because the graph oscillates between these two values.
Kadence claims that Limit of g (x) as x approaches 0 is the average of –2 and –8, which is –5.
Who is correct?
Esai only
Kadence only
both Esai and Kadence
neither Esai nor Kadence
Answer:
Kadence Only
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
A circular flower garden has a radius of 19 ft that
has to be mulched. Each bag of mulch covers 32square feet. How
many bags of mulch are needed? Use TI = 3.14. Round to the
nearest whole number
Step-by-step explanation:
[tex]area \: of \: garden = \pi {r}^{2} \\ = 3.14 \times {19}^{2} \\ = 1133.54 \: {ft}^{2} \\ number \: of \: bags = \frac{area \: of \: garden}{area \: covered\: by \: bag} \\ = \frac{1133.54}{32} \\ = 36 \: bags[/tex]
How many ways can three people be selected from a group of seven people if order
DOES matter?
Answer:
210 ways
Step-by-step explanation:
The is a permution problem.
Formula for permutations of r things taken from n things is
[tex]P(n,r) = \frac{n!}{(n - r)!}[/tex]
[tex]\frac{7!}{(7 - 3)!} = \frac{7!}{4!} = 7*6*5 = 210[/tex] ways
Can u give me the steps to this problem? What should I do first? Please please
Share out 184 snails between 8 salamanders.how many snails does each salamander get.
The answer is 23 hope this helped
What is the slope for the line that goes through the points?
(The answer should be a fraction (rise/run)
Answer: 2/1x
Step-by-step explanation:
you follow the graph from the y intercept to the next point
up 2 over 1
Answer:
2/1 or 2
Step-by-step explanation:
from point (0,2) to (1,4) it goes up 2 and to the left 1 so the rise is 2 and the run is 1
Write the equation of a circle that has a center of (-8, 0)
and a diameter of 8.
Answer:
(x+8)^2+y^2=16
Step-by-step explanation:
The equation for a circle in center-radius form is
(x-h)^2+(y-k)^2=r^2
where (h,k) is the center and r is the radius.
We are given the diameter is 8 so the radius is 8/2=4.
We are also given (h,k) is (-8,0).
The equation for the circle is
(x--8)^2+(y-0)^2=4^2
(x+8)^2+y^2=16