The value of g (gravity) is approximately 9.81 m/s².
To find the value of g (gravity), we can use the formula for the period of a pendulum:
T = 2π√(L/g)
where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.
In this case, we are given the period T = 2.8 seconds and the length L = 75.0 cm. We need to solve the equation for g.
Rearranging the formula, we have:
g = (4π²L) / T²
Substituting the given values, we have:
g = (4π² * 75.0) / (2.8)²
g = (4π² * 75.0) / 7.84
Using the value of π as approximately 3.14159, we can calculate the value of g:
g ≈ (4 * 3.14159² * 75.0) / 7.84
g ≈ 9.81 m/s²
Therefore, the value of g (gravity) is approximately 9.81 m/s².
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Express 6 3/4 in simplest radical form
Answer:
4√6^3
Step-by-step explanation:
hope this helps
Answer:
27/4
Step-by-step explanation:
-3x + y = 24
3x - y = -24
Answer:
-8
Step-by-step explanation:
If you were to change the system into slope intercept you would get y=24+3x and -y=-24-3x. Then you would make the equation 24+3x=-24-3x. Then you would want to get all the variables on one side and the non variables on the other. Then you would get 48=-6x. From there you would divide -6x by -6 and get x. Then you do 48/-6 and get -8. So x=-8
The zookeeper find the lions in the zoo daily during the week the line graph shows the amount of meat in kilograms fair to the liens on each day of the week find the rate of change in the same amount of meat are fed to the alliance between Thursday and Friday
The changes is is the same amount of meat from Thursday to Friday is ___
Kilograms of meat
The rate of change is the same amount of meat from Thursday to Friday is 14 Kilograms of meat
Here, the line graph shows the amount of meat in kilograms fed to the lions on each day of the week.
From the line graph the amount of meat fed to the lines on Thursday is 58 kilograms
And the amount of meat fed to the lines on Thursday is 72 kilograms
Let x represents the rate of change in the amount of meat from Thursday to Friday.
So, the value of x would be,
x = 72 - 58
x = 14 kilograms
Thus, the rate of change in the same amount of meat are fed to the alliance between Thursday and Friday = 14 kilograms
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25 penalties decreased by 32% is
penalties.
Answer:17
Step-by-step explanation:
If Ben sees another student drop their books and decides to help because he has been raised by parents who are always helping others, this would be an example of which psychological approach
If Ben sees another student drop their books and decides to help because he has been raised by parents who are always helping others, this would be an example of the social learning psychological approach.
What is the psychological approach?The social learning psychological approach is that which proposes that people learn by imitating the actions of others.
This is exemplified in the scenario painted of Ben where he watches his parents help others and immediately follows the example by also helping others in need. So, the psychological approach is social learning.
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The price of an item yesterday was $140. Today, the price rose to $238. Find the percentage increase.
%
Answer:
216$
Step-by-step explanation:
Answer:
41.2%
Step-by-step explanation:
\(Percentage\ change = (\frac{Final\ Price\ - Initial\ Price}{Final\ Price})100\\\\Percentage\ change=(\frac{238-140}{238})100\\\\Percentage\ change=(\frac{98}{238})100\\\\Percentage\ change=(0.412)100\\Percentage\ change=41.2\\\)
So the percentage increase was 41.2%
a jar is filled with red, white, and blue tokens that are equivalent except for their color. the chance of randomly selecting a red token, replacing it, then randomly selecting a white token is the same as the chance of randomly selecting a blue token. if the number of tokens of every color is a multiple of 3, what is the smallest possible total number of tokens in the jar?
The smallest possible total number of tokens in the jar is 27, with 6 red tokens, 3 white tokens, and 18 blue tokens.
Let's assume that the jar has "r" red tokens, "w" white tokens, and "b" blue tokens. Since the probability of selecting a red token and then a white token is the same as selecting a blue token, we can write the following equation
(r/3) × (w/3) = (b/3) × ((r + w)/3)
Simplifying this equation, we get
rw = b(r + w)
Now, we need to find the smallest possible total number of tokens in the jar. Since r, w, and b are all multiples of 3, we can write
r = 3x
w = 3y
b = 3z
Substituting these values in the equation rw = b(r + w), we get
9xy = 9z(x + y)
Simplifying this equation, we get
xy = z(x + y)
Since x, y, and z are all integers, we can say that z divides xy. Therefore, we can write
z = kd
xy = k(d x + d y)
where k and d are integers.
Now, we need to find the smallest possible value of (r + w + b) = 9(x + y + z) that satisfies the above conditions. Since z is a multiple of 3, we can start with k = 3. Also, we want to minimize (x + y + z), so we can start with d = 2. Substituting these values, we get
z = 3 × 2 = 6
xy = 3(2x + 2y) = 6(x + y)
The smallest possible values of x and y that satisfy this equation are x = 2 and y = 1. Substituting these values, we get
r = 3x = 6
w = 3y = 3
b = 3z = 18
Therefore, the smallest possible total number of tokens in the jar is
r + w + b = 6 + 3 + 18 = 27
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I am donating packages for Christmas drive. After the first week, I spent 126 to donate three children packages and 8 adult packages. After two weeks I spent 108 to donate six children packages and 4 adult packages. What is the price of each type of package
Answer:
Step-by-step explanation:
Let the price for children and adults package be represented with x and y respectively.
For the first week the sum of the package will be as follows:
3x+8y = 126
For the two weeks after:
6x+4y= 108
So, we will be having two equations
3x+8y = 126..... (1)
6x+4y= 108.......(2)
These are simultaneous equations
From equation 1
3x+8y = 126
3x = 126-8y
X = 126-8y/3 ............. (3)
Put equation 3 into 2
6 ( 126-8y)/3 +4y = 108
756-48y/3 +4y = 108
756-48y+12y/3 = 108
Cross multiplying
756-48y+12y= 108×3
756-48y+ 12y = 324
Collecting like terms
756-324 = 48y-12y
432= 36y
Divide both sides by 36
432/36 = 36y/36
y= 12
Substituting y into equation 1
3x+8= 126
3x+96=126
3x= 126-96
3x= 30
Divide both sides by 3
3x/3 = 30/3
x = 10
Hence for each of the packages for children and adults. It will be 10 and 12 respectively.
How do you do 5÷465 in long division and 12÷924 and 3÷1107
Answer:1st one 93 2nd 77 and 3rd 369
Step-by-step explanation:
is an angle in a right-angled triangle.
tan 0
=
23
52
What is the value of 0?
Give your answer in degrees to 1 d.p.
Yes, an angle in a right-angled triangle is always present. Without any additional information about the triangle, it is impossible to determine the value of the angle in question.
In a right-angled triangle, one of the angles is a right angle, which measures 90 degrees. The other two angles in the triangle are acute angles and their measures always add up to 90 degrees.
To find the value of the angle in question, we need to know some additional information about the triangle. If we have the lengths of two sides of the triangle, we can use trigonometric ratios to find the measure of the angle.
For example, if we know the length of the side opposite the angle and the length of the hypotenuse (the longest side of the triangle), we can use the sine ratio to find the measure of the angle.
If we know the length of the side adjacent to the angle and the length of the hypotenuse, we can use the cosine ratio.
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Write and solve a real-world problem that can be represented by the expression (−3)(5 ) + 10.
Answer:
• The smart phones produced by Samsung in 30 minutes reduce from 10 by 15 times
Step-by-step explanation:
\( = ( - 3)(5) + 10 \\ = - 15 + 10 \\ = - 5\)
Please i need help please i need it quickly
the time to complete a bridge varies inversely with the square root of the number of people working. if 9 people can complete the job in 75 days then how long would it take 25 people?
If 09 people can complete the job in 75 days then 25 people needs 45 days to complete the job.
Let T be the time and L be the Labor (Number of people working on the bridge).
T ∞ 1/√L (Inverse relationship)
T = K/√L ----------------------------- (1)
Since, Constant "K" is introduced once the variation sign (∞) changes to equality (=) sign.
According to the question,
Time (T) = 75 days and
labor (L) = 09
From the equation (1), we get,
T = K / √L
⇒ 75 = K/√9
⇒ 75= K/3
⇒ K= 225
First, the relationship between these variables is:
T = 225/√L
Therefore, how long it will take 25 people to do it means that we should look for the time.
T=225/√L
⇒ T= 225/√25
⇒ T= 225/5
⇒ T= 45 days.
therefore, 25 people needs 45 days to complete the job.
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the study would use a . the study would use simple random sampling because it would be easy to randomly select of . b. the study would use a . the study would use cluster sampling because the of fall into naturally occurring subgroups. c. the study would use a . the study would use stratified sampling because it would be important to have members from each segment of the population. d. the study is a , because the population is for it to be practical to record all of the responses.
The study would use a simple random sampling because it would be easy to randomly select. The study would use cluster sampling because the of fall into naturally occurring subgroups. The study would use stratified sampling because it would be important to have members from each segment of the population.
The study is a sample survey, because the population is for it to be practical to record all of the responses.
a. The study would use a simple random sampling because it would be easy to randomly select members of the population. Simple random sampling is a type of probability sampling that is used when the population is homogenous and every member has an equal chance of being selected for the sample.
b. The study would use cluster sampling because the members of the population fall into naturally occurring subgroups. Cluster sampling is a type of probability sampling that is used when the population is heterogeneous and can be divided into naturally occurring subgroups.
c. The study would use stratified sampling because it would be important to have members from each segment of the population. Stratified sampling is a type of probability sampling that is used when the population is heterogeneous and can be divided into segments or strata based on certain characteristics.
d. The study is a sample survey, because the population is too large for it to be practical to record all of the responses. Sample survey is a type of survey that collects data from a sample of the population, rather than the entire population. This is often done when the population is too large or when it is not practical to survey the entire population.
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Due asap
Show workings please
Answer:
x= 11.4° (1 d.p.)
Step-by-step explanation:
Please see the attached picture for the full solution.
Geometry. Math nation section 3
∠g and ∠h are complementary angles and ∠g and ∠h are acute angles are true statements from the given information
Two angles are given.
∠g = (2x-90)°
∠h = (180-2x)°
We have to find the statement which is true about the angles g and h.
If both angles are greater than zero.
Complementary angles add up to 90 degrees
i.e., ∠g and ∠h are complementary if ∠g + ∠h = 90°.
Substituting the given values:
∠g + ∠h
= (2x-90)° + (180-2x)° = 90°
Thus, ∠g and ∠h are complementary angles.
and both the angles are less than 90 degrees so we can tell that angles ∠g and ∠h are acute.
So the statement ∠g and ∠h are acute angles is also true
Hence, ∠g and ∠h are complementary angles and ∠g and ∠h are acute angles are true statements
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PLEASE ANSWER I’ll give brainliest!!
6.7.30
What is the perimeter of the parallelogram WXYZ?
Answer:
392?
Step-by-step explanation:
to find perimeter you add each side I think, so...
50 + 50 + 50 + 50 + 96 + 96 = 392
No clue if I did this properly but based on my math I did it right not sure the formula you are using/ should be using to figure this out.
Which of the following tables represents a linear relationship that is also proportional?
(A)
x −1 0 1
y 0 2 4
(B)
x −3 0 3
y −2 −1 0
(C)
x −2 0 2
y 1 0 −1
(D)
x −1 0 1
y −5 −2 1
Answer: 我不知道你好
Step-by-step explanation:
The second smallest number that has 1,2,3,4 and 5 in them
12354 is the second smallest number that contains the digits 1, 2, 3, 4 and 5 in that order. It can be used in a variety of ways, such as counting, addition, subtraction, multiplication and division, as well as to represent dates and times.
The second smallest number that has 1,2,3,4 and 5 in them is 12354. This number is made up of the digits 1, 2, 3, 4, and 5 in that order. It is the second smallest number because the smallest number that contains these digits is 12345.
To form this number, we start by arranging the digits in descending order, from the largest to the smallest, 5, 4, 3, 2 and 1. We then combine the digits together to form 12354.
12354 is the second smallest number because it contains all the digits 1, 2, 3, 4 and 5 in that order. This number can be used in different ways, such as counting, addition, subtraction, multiplication and division. For example, 12354 divided by 4 equals 3088.75.
The number 12354 can also be used in other ways, such as to represent a date or time. For example, the number 12354 can represent the date 12/3/54, which is December 3, 1954.
In conclusion, 12354 is the second smallest number that contains the digits 1, 2, 3, 4 and 5 in that order. It can be used in a variety of ways, such as counting, addition, subtraction, multiplication and division, as well as to represent dates and times.
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I need help with this problem
\(\\ \sf\longmapsto Area=LB\)
\(\\ \sf\longmapsto Area=(x+4)(x-9)\)
\(\\ \sf\longmapsto Area=x(x-9)+4(x-9)\)
\(\\ \sf\longmapsto Area=x^2-9x+4x-36\)
\(\\ \sf\longmapsto Area=x^2-5x-36\)
Step-by-step explanation:
Solution,
Given:-
Length=x+4
Width=x-9
Now,
By applying the formula for area of rectangle, we get
Area=length×width
Area=(x+4)(x-9)
Area=x(x-9)+4(x-9)
Area=x²-9x+4x-36
Area=x²-5x-36
A heart-shaped graph in a 2D plane is defined by the equation (x² + y² - 1)³= 4x²y³ Determine dy/dx by implicit differentiation. y = 6x(x² + y² - 1)² - 8xy¹ 6x(x² + y²-1)² + 8xy² 12x²y²-6y(x² + y²-1) 6x²2²-3x² + y²²-1² 3x(x² + y²-12²-4x¹ . 3y (x²+²-1²-2x²y
The final expression for differential of dy/dx is given by (4x³ - 4xy² - 6x(x² + y² - 1)) / (3(x² + y² - 1)² - 4y²).
Answer: We are given the equation (x² + y² - 1)³= 4x²y³and we are supposed to determine dy/dx by implicit differentiation.
First, we differentiate the given equation with respect to x using the chain rule (since the equation is in the form of f(g(x)), we get:
(3x² + 3y² - 2) * 2(x² + y² - 1) * 2x + (3x² + 3y² - 2)³ * 2y * dy/dx
= 8xy³ + 4x² * 3y² * dy/dx
Now, we can rearrange the equation to solve for dy/dx, which gives:
dy/dx = (4x³ - 4xy² - 6x(x² + y² - 1)) / (3(x² + y² - 1)² - 4y²)
Therefore, we have: dy/dx = (4x³ - 4xy² - 6x(x² + y² - 1)) / (3(x² + y² - 1)² - 4y²)
Thus, the required derivative is (4x³ - 4xy² - 6x(x² + y² - 1)) / (3(x² + y² - 1)² - 4y²).
Conclusion:
Therefore, the final expression for dy/dx is given by (4x³ - 4xy² - 6x(x² + y² - 1)) / (3(x² + y² - 1)² - 4y²).
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Abc similar to def the area of abc is 45cm and the area of triangle def is 20cm one side of triangle abc is 3.6cm the the length of corresponding side of triangle def is
Answer:
2.4cm
Step-by-step explanation:
the area of a triangle is
baseline × height / 2
that means two lengths of the triangle have to be multiplied.
and to have 2 similar triangles means that all lengths inside one triangle are the corresponding lengths inside the other triangle multiplied by the scaling factor f.
multiplying 2 if these lengths with each other means also including the square of the scaling factor (multiplying with the scaling factor twice).
so, if the area of triangle 1 is
"baseline 1" × "height 1" / 2 = 45 cm²
then the area of triangle 2 is
"baseline 2" × "height 2" / 2 =
= "baseline 1"×f × "height 1"×f /2 =
= "baseline 1" × "height 1" × f² / 2 =
= ("baseline 1" × "height 1" / 2) × f² =
= 45 × f² = 20 cm²
f² = 20/45 = 4/9
f = 2/3
so, for a side of ABC being 3.6cm long, that means the corresponding side in DEF is
3.6 × f = 3.6 × 2/3 = 7.2/3 = 2.4cm
For a school fundraiser, Mai will make school spirit bracelets. She will order bead wiring and alphabet beads to create the bracelets. Mai must spend $250 on wire and $5.30 per bracelet for beads. Write an expression for this situation.
f(x)=x2 + 4x -6
f(x) can be written in the form (x + m)?+n.
Find the value of m and the value of n.
Answer:
m = 2 and n = -10
Step-by-step explanation:
The given function is f(x) = x² + 4·x - 6
The form in which f(x) is to be written = (x + m)² + n, which is the standard form of a quadratic equation
We have;
f(x) = x² + 4·x - 6 = x² + 4·x + 4 - 6 - 4
f(x) = x² + 4·x + 4 - 6 - 4 = (x + 2)² - 10
f(x) = (x + 2)² - 10
By comparison with (x + m)² + n, we have;
m = 2, and n = -10
Simplify each complex fraction.
1/2 / 2/y
The simplified form of the complex fraction (1/2) / (2/y) is y/4.
A complex fraction is a fraction in which either the numerator, the denominator, or both contain fractions. In other words, it is a fraction that has one or more fractions within it.
Complex fractions are written in the form:
(a/b) / (c/d)
where a, b, c, and d are numbers, and b, c, and d are not equal to zero.
To simplify a complex fraction, we can convert it into a simpler form by following a few steps.
1: Invert the denominator of the inner fraction.
(1/2) / (2/y) becomes (1/2) * (y/2).
2: Multiply the numerators and denominators.
(1/2) * (y/2) = (1 * y) / (2 * 2) = y/4.
By multiplying the numerators and denominators, we get the simplified complex fraction y/4.
In this case, the complex fraction (1/2) / (2/y) simplifies to y/4, where y is a non-zero number.
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The triangles are congruent by SSS and HL. Triangles R S T and V W X are shown. Triangle R S T can be rotated about point S and then shifted down and to the left to form triangle V W X. Which transformation(s) can be used to map △RST onto △VWX? reflection only translation only reflection, then translation rotation, then translation
Answer:
rotation then translation
Based on the information given regarding the triangle, the transformations that can be used to map △RST onto △VWX is D. rotation, then translation.
What is a congruent triangle?It should be noted that a congruent triangle simply means when two triangles have the same sides and the same angles.
Since Triangle RST can be rotated about point S and then shifted down and to the left to form triangle VWX, the transformations that can be used to map △RST onto △VWX is rotation, then translation.
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Triangle ABC has vertices A(0,6), B(-8,-2), and C(8,-2). A dilation with a scale factor of 2/2 and center at the origin is applied to this triangle
What are the coordinates of B’ in the dilated imagine?
Enter your answer by filling in the boxes.
The coordinates of B’ in the dilated image are B' (-16, -4).
What is a dilation?In Mathematics and Geometry, a dilation is a type of transformation which typically changes the size (dimensions) of a geometric object, but not its shape.
In this scenario an exercise, we would dilate the coordinates of the pre-image by applying a scale factor of 2 that is centered at the origin as follows:
Ordered pair A (0, 6) → Ordered pair A' (0 × 2, 6 × 2) = Ordered pair A' (0, 12).
Ordered pair B (-8, -2) → Ordered pair B' (-8 × 2, -2 × 2) = Ordered pair B' (-16, -4).
Ordered pair C (8, -2) → Ordered pair C' (8 × 2, -2 × 2) = Ordered pair C' (16, -4).
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Complete Question:
Triangle ABC has vertices A(0,6), B(-8,-2), and C(8,-2). A dilation with a scale factor of 2 and center at the origin is applied to this triangle
What are the coordinates of B’ in the dilated image?
For which values of x is the expression undefined?
Answer:
Step-by-step explanation:
when x=3 because, 4x3=12, and 12-12=0 and when 0 is a denominator, then the expression is undefined.
A new video game has been released. The table shows the proportional relationship between the number of levels completed and the time it should take to complete them.
Number of Levels 2 7
Time (hours) ? 3.5
How many minutes should it take to complete 2 levels?
60 minutes
120 minutes
180 minutes
210 minutes
The number of minutes it takes to complete 2 levels is (a) 60 minutes
How many minutes should it take to complete 2 levels?From the question, we have the following parameters that can be used in our computation:
Number of Levels 2 7
Time (hours) ? 3.5
This table can be represented as follows:
Ratio = Level : Time
So, we have the following representation
Level : Time = 7 : 3.5
At level 2, we have
2 : Time = 7 : 3.5
Express as fraction
Time/2 = 3.5/7
So, we have
Time = 2 * 3.5/7
Evaluate
Time = 1
Express as minutes
Time = 60 minutes
Hence. the time is 60 minutes
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Carol starts with $50 and saves $10 each
week. Bill has $25 and save $15 each
week. For numbers 5a and 5b, determine
whether the statement is true or false,
a. Bill will never have more money
than Carol
True
False
b. Carol and Bill with have the same
amount of money at Week 6,
True
False
Answer:
a. F
b. F
Step-by-step explanation:
at 6 weeks carol has 110 and bill has 115, proving a&b wrong
and sorry for asking but, if this is right could i please get a thanks & brainliest recently a moderator deleted ALL my answers (over 400 answers) causing me to lose over 3k points so id appreciate it alot thanks xoxo