Answer: 31.42 seconds
Step-by-step explanation:
Given that:
Time taken (T) for a pendulum to complete a full swing or cycle is represented by the equation:
T = 2 π √(L/32)
T = time taken to complete a full swing in Seconds
L = Length of the pendulum measured in feet
If length (L) of the pendulum = 8 feet
Time taken (T) =?
Inputting our values :
T = 2 π √(8/32)
T = 2 π √(1/4)
T = 2 π 0.5
T = 10 π
T = 10 × 3.142 = 31.42seconds
Given a * b=b^a−ba+a^b, find (2*3)×(3*2).
Answer:
First let's find (2*3)
(2*3) = 3² - 3(2) + 2³
= 9 - 6 +8
= 11
Secondly let's find (3*2)
(3*2) = 2³ - 2(3) + 3²
= 8 - 6 + 9
= 11
so (2*3) × (3*2)
= 11 × 11
= 121
Hope this helps.
Answer:
B
Step-by-step explanation:
Subtract 10.359 from 16 1/2.
Answer:
The answer would be -6.141
[tex]10.359 -16.5=-6.141[/tex]
But, if your asking it the other way it would be 6.141
[tex]16.5- 10.359=6.141[/tex]
The difference is that it is positive.
The answer is -6.141 if
[tex]10.359 -16.5=-6.141[/tex]
Or 6.141 if
[tex]16.5- 10.359=6.141[/tex]
Hope this helps
(´｡• ω •｡`)
Which of the following would you round and estimate to a sum of 11?
A. 3.41 + 8.051
B. 3.65 + 7.992
C. 4.25 + 8.103
D. 4.89 + 7.431
Answer:
A
Step-by-step explanation:
Round and estimate the sum.
3.41 + 8.051
3 + 8 = 11
3.65 + 7.992
4 + 8 = 12
4.25 + 8.103
4 + 8 = 12
4.89 + 7.431
5 + 7 = 12
The first option is correct.
Answer:
Option A)
Step-by-step explanation:
A) 3.41+8.051
=> 11.4 ≈ 11
B) 3.65+7.992
=> 11.6 ≈ 12
C) 4.25+8.103
=> 12.4 ≈ 12
D) 4.89+7.431
=> 12.3 ≈ 12
In a local university, 49% of the students say that they get less than recomended eight hours of sleep per night. In a group of 3300 student, how many would you expect get eight or more hours sleep per night _____ students get eight or more hours of sleep per night (TYPE A WHOLE NUMBER)
Answer: One thousand six hundred and eighty - three students (1,683)
Step-by-step explanation: 49% of 3300 is 1,617 . If 49% don't get enough sleep then then question is indirectly asking for the exact amount of that particular 51%
3. Amanda rides her
motorcycle everyday for 3
hours, traveling 100 miles.
How fast is she driving daily?
Answer:300 miles a day
Step-by-step explanation:
Katherine has two types of iodine in her lab. She has brand 232 iodine, which costs thirty-six cents
per ounce. She also has brand 880 iodine, which costs $2.04 an ounce. How many ounces of each should she use if she wants to make three hundred ninety-three ounces of iodine that cost a total of $255.72?
Answer:
Number of ounces of iodine 888 brand = 68
Number of ounces of iodine 232 brand = 325
Step-by-step explanation:
Given the following ;
Brand 232:
Cost per ounce = 36cent
Brand 880:
Cost per ounce = $2.04 = 204cent
Assume the following :
Number of ounces of 232 brand = x
Number of ounces of 888 brand = y
Total ounces to be made :
x + y = 393 - - - (1)
Total cost of iodine :
Brand 232 = 36x
Brand 888 = 204y
36x + 204y = 25572 - - - - (2)
From (1)
x = 393 - y - - - - (3)
Substitute (3) into (2)
36(393 - y) + 204y = 25572
14148 - 36y + 204y = 25572
-36y + 204y = 25572 - 14148
168y = 11424
y = 11424 / 168
y = 68
From ; x = 393 - y
y = 68
x = 393 - 68
x = 325
Number of ounces of iodine 888 brand = 68
Number of ounces of iodine 232 brand = 325
Which of these systems of linear equations has no solution? A. 2 x + 8 y = 15. 4 x + 16 y = 30. 2 x minus B. y = 18. 4 x + 2 y = 38. C. 4 x + 7 y = 17. 8 x minus 14 y = 36. D. 4 x minus 3 y = 16. 8 x minus 6 y = 34.
Answer:
D. 4 x minus 3 y = 16. 8 x minus 6 y = 34
Step-by-step explanation:
A. 2 x + 8 y = 15. 4 x + 16 y = 30.
Multiply the first equation by 2
4x+16y = 30 This is identical to the second equation so there are infinite solutions
B. 2 x - y = 18. 4 x + 2 y = 38.
Multiply the first equation by 2
4x -2y = 36. Add to the second equation 8x = 74 so there is one solution
C. 4 x + 7 y = 17. 8 x minus 14 y = 36.
Multiply the first equation by 2
8x +14y = 34 Add this to the second equation 16x = 70 There is one solution
D. 4 x minus 3 y = 16. 8 x minus 6 y = 34.
Multiply the first equation by 2
8x - 6y = 32 Subtract this from the second equation 8x - 6y = 34
0 = 2
This is never true so there is no solution
Answer:
d
Step-by-step explanation:
Answer the problem 6/7×1/2 equals
Answer:
6 x 1 = 6
7 x 2= 14
6/14 is the answer
you can divide by 2/2
it is the same because 2/2 = 1 so the answer is the same but simplified
6/2=3
14/2=7
3/7 is the answer
Hope this helps
Step-by-step explanation:
Answer:
[tex]\frac{3}{7}[/tex]
Step-by-step explanation:
=> [tex]\frac{6}{7} * \frac{1}{2}[/tex]
=> [tex]\frac{6*1}{7*2}[/tex]
=> [tex]\frac{6}{14}[/tex]
=> [tex]\frac{3}{7}[/tex]
Lines mand pare perpendicular. If the slope of line m is -3, what is the slope
of line p?
Answer:
1/3
Step-by-step explanation:
When a line is perpendicular, to find the slope, you take the negative reciprocal of the other slope.
The slope of a perpendicular line is going to be the opposite and reciprocal of the original slope.
Opposite: -3 -> 3
Reciprocal: 3 -> 1/3
Therefore, the answer is 1/3
Best of Luck!
7. A company manufactures shaving sets for $5 each and sells them for $7 each. How many shaving sets must be sold for the
company to recover an initial investement of $45,000 and eam an additional $15,000 as profit?
The company has to sell
$15,000 as profit.
shaving sets to recover an initial investment of $45,000 and earn an additional
Answer:
$30,000
Step-by-step explanation:
profit = amount of sales - expenses
The company spends $5 on each set. it sells each set for $7.
The profit on each set is $7 - $5 = $2.
For each set the company sells, it makes $2 of profit.
It cost the company $45,000 to start production, and the company wants a profit of $15,000. The company needs to earn $45,000 + $15,000 = $60,000 in profits.
Since the profit per set is $2, the number of sets it needs to sell is
$60,000/$2 = 30,000
Answer: 30,000 sets
What are the coordinates of the endpoints of the segment
T'V'?
Triangle TVW is dilated according to the rule
D02(x,y)=(x, y) to create the image triangle T'V"W",
which is not shown.
O T'(-3, 6) and V'(0, 3)
O T'(-3, 6) and V'(0, 1)
O T'(-1, 2) and V'(0,3)
O T'(-1, 2) and V'(0, 1)
0 N
w
2
Answer:
A) T'(-3, 6) and V'(0, 3)
Step-by-step explanation:
In the picture attached, triangle TVW is shown.
Transforming points T and V according to the rule (x,y) -> (3/4x, 3/4y), we get:
T(-4, 8) -> (-4*3/4, 8*3/4) -> (-3, 6) which corresponds to T'
V(0, 4) -> (0*3/4, 4*3/4) -> (0, 3) which corresponds to V'
The coordinates of the endpoints of the segment T'V are; T'(-3, 6) and V'(0, 3)
Creating Images on the Cartesian planeAccording to the question;
The given triangle TVW is dilated according to the rule D (3/4)(x,y)=((3/4)x, (3/4)y) to create the image triangle T'V"W", which is not shown.
From the attached image; the coordinates of endpoints T and V are;
T(-4, 8) and V(0, 4)Therefore, the result segment of the dilation according to the rule; D (3/4)(x,y)=((3/4)x, (3/4)y) is;
T' = 3/4 × (-4, 8) = (-3, 6)V' = 3/4 × (0, 4) = (0, 3)Read more on triangle dilation;
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I NEED HELP PLEASE THANKS
Answer:
D. Reflect across the x-axis, then shift 4 units up
Step-by-step explanation:
In this case, reflecting across the x-axis just means going 4 units down. To go back up, go 4 units up.
Answer:
It is D because doing that you can reflect the rectangle and make it map on itself.
If SYSTEM is coded as '131625', and KARMA is coded as '94854' then MARKET is coded as _____? (A) 845926 (B) 548926 (C) 629845 (D) 548629
Answer:
B. 548926
Step-by-step explanation:
Given
SYSTEM => '131625', and KARMA => '94854'
Required
MARKET is coded as?
To solve this, we simply map out each letter to the given characters;
This is done as follows:
S-> 1
Y-> 3
S-> 1
T-> 6
E -> 2
M-> 5
K-> 9
A-> 4
R-> 8
M-> 5
A -> 4
Remove repetitions
S-> 1
Y-> 3
T-> 6
E -> 2
M-> 5
K-> 9
R-> 8
A -> 4
Now, we can code MARKET using the same system
M-> 5
A -> 4
R-> 8
K-> 9
E -> 2
T-> 6
MARKET => 548926
Line j is a straight line. Line j is a straight line. 2 lines come out of the line to form 4 angles. From top left, clockwise, the angles are: x, y, z, w. Which equation represents the relationship between the measures of Angle w and Angle z? Measure of angle w = measure of angle z Measure of angle w + measure of angle z = 90 degrees Measure of angle w + measure of angle z = 100 degrees Measure of angle w + measure of angle z = 180 degrees
Answer:
c
Step-by-step explanation:
In the given line the relationship between angle w and z is Measure of angle w + measure of angle z = 180 degrees.
What is a supplementary angle?This is the type of angle that when measured, two of the angles would sum up to 180 degrees.
The supplementary angle is the sum of angle w + angle z = 180 degrees. Hence c is correct.
Read more on supplementary angles here:
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Which relationship has a zero slope?
HELP please
Answer:
It's the second one, where the line is completely vertical
Step-by-step explanation:
Answer:
The first Graph has a zero slope (a)
Step-by-step explanation:
It has a zero slope because it is horizontal.
Hope this helps
Stay Safe:)
if you're good at quadratic equations please help meee
For what two values of k does x^2+kx+9=0 have only one solution?
Answer:
x² + kx + 9 = 0
To find the possible values of k first calculate the discriminant D
D = b² - 4ac
where
a = 1 b = k and c = 9
D = k ² - 4(1)(9)
D = k² - 36
For the above equation to have one solution D must be equal to zero
That's
D = 0
We get
k² - 36 = 0
(k+6)(k -6) = 0
k = 6 k = - 6
Therefore the two values of k which make
x² + kx + 9 have only one solution is
6 and - 6
Hope this helps.
Answer:
k = 6 OR k = -6
Step-by-step explanation:
Given Equation is:
=> [tex]x^2+kx+9=0[/tex]
To Find the value of k, we'll find it's discriminant:
Comparing the above equation with standard form of quadratic equation, we get:
a = 1, b = k and c = 9
=> Discriminant = [tex]b^2-4ac[/tex]
D = [tex](k)^2-4(1)(9)[/tex]
D = [tex]k^2-36[/tex]
Given that Equation has only one solution, So D will be equal to 0
0 = [tex]k^2-36[/tex]
Adding 36 to both sides
[tex]k^2 = 36[/tex]
Taking sqrt on both sides
=> k = ±6
Either,
k = 6 OR k = -6
Compute the permutations and combinations. From a committee consisting of 5 men and 6 women, a sub-committee is formed consisting of 4 men and 3 women. How many different subcommittees are possible? 360 600 100
Answer:
360
Step-by-step explanation:
Multiply them all
Which of the following is a true proportion of the figure based on the triangle proportionality theorem? answers: A) ab= dc B) ac=ad C) ab=ac D) bd=ca
Answer:
A) a/b = d/c
Step-by-step explanation:
The Triangle Proportionality Theorem states that if a line is parallel to one side of a triangle and it intersects the other two sides, then it divides those sides proportionally.
In this case, line TU is parallel to side QR. So, the ratios a:b and d:c are equal. In other words, a/b = d/c
What is 4 square root of 81 to the fifth power in exponential form
Answer:
B is the answer.
Step-by-step explanation:
[tex]x^{\frac{m}{n} } = \sqrt[n]{x^{m} }[/tex]
[tex]\sqrt[4]{81^{5} }[/tex] = [tex]81^{\frac{5}{4} }[/tex]
Whay is the value of g (-3l when g(x)= 2x-2
Answer & Step-by-step explanation:
When you see g(x), then the number found in the place of x represents the value of x for that equation. So, the value of x for this equation is -3.
g(-3) = 2(-3) - 2
g(-3) = -6 - 2
g(-3) = -8
So, the value of g(-3) is -8
Complete the equation
Answer: 420
I wrote it down on paper and just did the problem on paper
A bag contains four yellow marbles, six red marbles, five blue marbles, six white marbles, and four black marbles. What is the theoretical probability of pulling a white marble from the bag? A. 4/25 B. 6/19 C. 4/21 D. 6/25
Answer: 6/25
Step-by-step explanation:
There are 6 white marbles out of 25 total marbles. So the probability of drawing a white marble is 6/25
ANSWER ASAP :D +Brainliest if correct!
Jo estimated the quotient of –41.71 divided by –6.03 by rounding each to the nearest integer. What is Jo’s error? (picture below) Jo should have rounded the dividend to –40. Jo should have rounded the divisor to –6. Jo should have divided –7 by –42. Jo should have divided –7 by –7.
Answer:
Jo should have rounded the divisor to -6.
Explanation:
When rounding, a number with a decimal value below 0.5 rounds down and a number with a decimal value of 0.5 and greater gets rounded up. 0.3 is less than 0.5 which means -6.03 is closer to -6 than -7 and should have been rounded to -6 instead.
Answer:
B!
Step-by-step explanation:
simple division :)))
The measure of b is..
Answer:
b =21
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
20^2 + b^2 = 29^1
400 + b^2 =841
Subtract 400 from each side
b^2 = 441
Take the square root of each side
sqrt(b^2) = sqrt(441)
b =21
Answer:
b = 21
Step-by-step explanation:
Ok so solving this is actually really simple.
We need to use the Pythageorum Theorum formula which is [tex]a^2+b^2=c^2[/tex].
So we already know the c and b which are 29 and 20 and we are trying to find b or a in the formula so.
We have to plug the numbers 29 and 20 into the formula and do the steps which is to sqaure them. So 29 and 20 squared are 841 and 400.
So we have to plug those numbers into the formula and it looks like this now [tex]a^2+400=841[/tex]. So now we have to get a squared alone and to do tha we subtract 400 from 841 which is 441. So now to find a we have to find the square root of a and 441 which is a and 21 so b is 21.
Help please anyone ??
Answer:
x=83
Step-by-step explanation:
97+x=180
x=83
Answer:
∠x = 83°
Step-by-step explanation:
Since ∠x and ∠y are supplementary ∠s so they add up to 180°
So,
∠x + ∠y = 180
Where ∠y = 97°
∠x + 97° = 180
∠x = 180-97
∠x = 83°
Based on a poll, 40% of adults believe in reincarnation. Assume that 8 adults are randomly selected, and find the indicated probability.
Complete parts (a) through (d) below.
a. What is the probability that exactly 7 of the selected adults believe in reincarnation?
The probability that exactly 7 of the 8 adults believe in reincarnation is
(Round to three decimal places as needed.)
Answer:
The probability under the given conditions is found:
P(7) = 0.079
Step-by-step explanation:
Let x be the number of adults who believe in reincarnation.
Adults randomly selected = 8
percentage of adult believe in reincarnation = 40% = 0.4
x follows binomial distribution:
P(x) = [tex]\left(\begin{array}{ccc}n\\x\end{array}\right) (p)^x(1-p)^{n-x}[/tex]
where
n= total people random people selected = 8,
x = selected for the part = 7,
p = probability given = 0.4
P(7) = [tex]\left(\begin{array}{ccc}8\\7\end{array}\right) (0.4)^7(1-0.4)^{8-7}[/tex]
P(7)= (8)(0.0164)(0.6)
P(7) = 0.07872
Rounding off to 3 decimal positions
P(7) = 0.079
Which of the following formulas would find the surface area of a right cylinder
where h is the height, ris the radius, and BA is the base area?
Check all that apply.
A. 2 pi r^2 + 2 pi rh
B. Ba + 2 pi rh
c. Ba + pi r^2
D. Pi r^2 + pi rh
E.2 pi r^2
Answer:
A and B
Step-by-step explanation:
The surface area is [tex]2\pi rh+2\pi r^2[/tex]
BA is also the base, which is [tex]\pi r^2[/tex]
That means that B is also an answer.
The formulas which can be use to find the surface area of a right cylinder is 2πr² + 2 πrh and BA+2πrh.
What is surface area of cylinder?Surface area of cylinder is the area of each faces by which it is enclosed.
The surface area of cylinder can be calculated with the following formula;
[tex]A=2\pi r^2+2\pi rh[/tex]
Here, (h) is the height of the cylinder and (r) is the radius.
This formula is similar to the option A. Thus, the option A is correct. The base of the cylinder is circular and there are two circle at the base of a cylinder.
The base area of the cylinder is,
[tex]BA=2(\pi r^2)\\BA=2\pi r^2[/tex]
Put this value in the surface area formula of cylinder as,
[tex]A=BA+2\pi rh[/tex]
Thus, the option B is also correct.
Hence, the formulas which can be use to find the surface area of a right cylinder is 2πr² + 2 πrh and BA+2πrh.
Learn more about the surface area of cylinder here:
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Determine the value of x in the triangle shown. answer : 135° 115° 360° 110°
Answer:
135 degrees
Step-by-step explanation:
all the outer angles of a triangle should equal 360, so subtract the two given angles from 360 and you should get 135 degrees.
The value of x in the triangle is 135°.
What is Triangle?A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.
Sum of the interior angles of a triangle is 180 degrees.
Given is a triangle whose two of the outer angles are given.
When we extend a side of a triangle from a vertex, then the angles formed on the inside and the outside at that vertex is supplementary.
Supplementary angles are those which have the sum of angles equal to 180 degrees.
One interior angle of the triangle = 180° - 115° = 65°
Second interior angle of the triangle = 180° - 110° = 70°
We have sum of the interior angles of a triangle is also supplementary.
Third interior angle = 180° - (70° + 65°) = 45°
x° = 180° - 45° = 135°
Hence the value of the exterior angle is 135°.
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so yall... what's up?
I need the answer to this question...
The table shows conversions of common units of capacity.
Units of Capacity
Customary System Units
Metric System Units
1 gallon
3.79 liters
1 quart
0.95 liters
1 pint
0.473 liters
1 cup
0.237 liters
1 pint = 2 cups
1 quart = 2 pints
1 gallon = 4 quarts
Which shows the best path to convert 100 liters to pints?
liters Right-arrow cups Right-arrow pints
liters Right-arrow kiloliters Right-arrow pints
pints Right-arrow gallons Right-arrow liters
pints Right-arrow quarts Right-arrow liters
Solve for x in the triangle. Round your answer to the nearest tenth.
Answer:
8.5
Step-by-step explanation:
For this we will use trigonometry.
First lable the diagram: 13 will be the hypotenuse (H), x will be the opposite(O). Therefore, we will use sin as it is SOH.
sin Θ = [tex]\frac{O}{H}[/tex]
sin 41 = [tex]\frac{x}{13}[/tex]
x = 13 sin 41
Type this into the calculator, then you will get 8.5287677377. Round this to the nearest tenth will be 8.5.
As the question does not give any units, there will be no need to write any units after the answer.
Hope this helps
Answer: 8.53
Step-by-step explanation:
Calculated based on 2 given angles and 1 given side.
∠C = 180° - A - B = 49°
x = hypoteneuse·sin(A)/sin(B) = 8.53
