The graph of the function h(x) = 7sin(x) is given by the image presented at the end of the answer.
How to define the sine function?The sine function is given as follows:
y = Asin(Bx) + C.
For which the parameters are given as follows:
A: amplitude.B: the period is 2π/B.C: vertical shift.From this problem, the amplitude is given as follows:
A = 7.
Hence:
The midline is at y = 0.The minimum value is of -7, as there is no vertical shift.The maximum value is of 7, as there is no vertical shift.As there is no phase shift, the minimum and maximum values have the x-coordinate given as follows:
Minimum: x = -π/2.Maximum: x = π/2.As the function has no phase shift, the period is given as follows:
2π.
More can be learned about trigonometric functions at brainly.com/question/21558626
#SPJ1
he chart shows specific heat data for four substances.a chart with 2 columns and 5 rows. the first column is labeled substance with entries w, x, y, z. the second column is labeled specific heat with entries 2.542, .900, 3.209, 1.657.which conclusion is best supported by the data?
The specific heat shows that Substance Y has more atoms per gram than substance W.
Specific heat:
Specific heat is a property of a substance that describes how much heat energy is required to raise the temperature of a certain amount of that substance by one degree. It is typically measured in units of joules per gram per degree Celsius (J/g°C).
Different substances have different specific heats. For example, water has a relatively high specific heat of 4.18 J/g°C, which means that it takes a lot of heat energy to raise the temperature of water by one degree. This is why water is often used as a coolant or in air conditioning systems, as it can absorb a large amount of heat energy without experiencing a significant temperature change.
Therefore, the specific heat shows that Substance Y has more atoms per gram than substance W.
To know more about Specific heat refer to:
brainly.com/question/1209542
#SPJ4
A cooler contains 4 l of water. the cooler has marks on it at every 0.2 l. water bottles are filled with water from the cooler, and each bottle holds approximately 4/9 l. after 4 water bottles are filled, between which two marks is the water level in the cooler?
As per the unitary method, the place of marks in the water level in the cooler is 2.0 and 2.2 respectively.
Here we have given cooler contains 4 l of water. the cooler has marks on it at every 0.2 l.
And here we also know that water bottles are filled with water from the cooler, and each bottle holds approximately 4/9 l.
Then the marking on the cooler are written as 0.2, 0.4, 0.6, 0.8, ...
Here we know that the water bottle will hold 4/9l of water
Here we have to convert the fraction into decimal form, then we get,
=> 4/9
=> 0.44
Then the water that can be filled on 4 bottle is calculated as,
=> 4 x 0.44
=> 1.76
Then the remaining water is calculated as,
=> 4 - 1.76
=> 2.24
Then the level of water mark in the cooler is 2.0 and 2.2
To know more about unitary method here.
https://brainly.com/question/28276953
#SPJ4
Please answer my question.
The solution is Option B , Option D.
The equations are z/6 + w = 11 and 5y + 4 = 16 + y
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
a)
( 10 + a ) / ( 3a + 1 )
Now , it is an expression because the "=" sign and terms on both sides must always be present when writing an equation.
b)
z/6 + w = 11 be equation (1)
Now , the equation is having = sign along with coefficients and variables
c)
( z-2 ) / 3 < 15
The < sign represents an inequality relation
So , it is not an equation
d)
5y + 4 = 16 + y be equation (2)
Now , the equation is having = sign along with coefficients and variables
e)
x² + 3x + 7
Now , it is an expression because the "=" sign and terms on both sides must always be present when writing an equation.
f)
5y + 1 ≤ y
The ≤ sign represents an inequality relation
So , it is not an equation
Hence , the equations are solved
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ1
In the figure below, which term best describes point W?
A. Incenter
B. Centroid
C. Orthocenter
D. Circumcenter
Answer:
a is the correct answer because it is in the center of the shape
if we count by $3\text{'s}$ starting with $1,$ the following sequence is obtained: $1,$ $4,$ $7,$ $10,$ $\dots.$ what is the $100^\text{th}$ number in the sequence?
The 100th number of the sequence 1, 4, 7, 10..., is 298.
The given series 1, 4, 7, 10..., is an AP.
Arithmetic Progression (AP) is a sequence of numerals in order, in which the difference between any two consecutive digits is a constant value. A progression is a type of sequence for which it is possible to get a formula for the nth term.
The Arithmetic Progression is the most generally used sequence in maths with easy-to-understand formulas. The nth-term formula of the AP (arithmetic progression) is
aₙ = a₁+ d(n-1)
Where
n = number of terms
a = first term
d = common difference
Here, n = 100, d = 3 and a₁ = 1
[tex]a_{100}[/tex] = 1 + 3(100-1)
[tex]a_{100}[/tex] = 1 + 3(99)
[tex]a_{100}[/tex] = 1 + 297
[tex]a_{100}[/tex] = 298
--The given question is incorrect, the correct question is
''If we count by 3's starting with 1, the following sequence is obtained: 1, 4, 7, 10..., what is the 100th number in this sequence?"--
To know more about arithmetic progression, here
https://brainly.com/question/16947807
#SPJ4
if you went to college and earned a four-year degree, how much more money would you expect to earn each year than if you did not graduate from high school?
If you went to college and earned a four-year degree, then 70% more money would you expect to earn each year than if you did not graduate from high school.
The pursuit of a college education is such a crucial life goal that it has taken center stage in the "American Dream." Attend college, secure a career, purchase a home, and start a family. Even if it isn't usually that easy, it all begins with your college education.
According to a study conducted across the country and released by the State Higher Education Executive Officers Association (sheeo.org), the average pay for high school graduates is close to $30,000. Graduates with a bachelor's degree typically make a little over $50,000 per year.
The average annual salary for those with higher level degrees (master's, doctoral, or professional) is also close to $70,000. This results in a sizable wage discrepancy over the course of a person's lifetime.
Hence, if you went to college and earned a four-year degree, then 70% more money would you expect to earn each year than if you did not graduate from high school.
To learn more about earning after graduation link is here
brainly.com/question/14449197
#SPJ4
Nathan can swim 20.8m in 10.4 minutes. how many meters will she swim in 1 minute
Answer: 2 meters
Step-by-step explanation:
[tex]\frac{20.8 \text{ m}}{10.4 \text{ min}}=2[/tex]
Answer: 2 Meters
Step-by-step explanation: 20.8 divided by 10.4 is 2
Segment MN has endpoints on a sphere. If segment MN does not pass through the center of the sphere, the most specific name for segment MN is BLANK ( options : chord, diameter, radius)
If segment MN passes through the center, the most specific name for segment MN is BLANK ( options : chord, diameter, radius)
Segment MN lies on a plane that intersects the center of a sphere. The intersection between the sphere and the plane is the BLANK ( options : diameter, great circle, radius, tangent)
Please help me out! Math 3 Q4
The intersection between the sphere and the plane is the is diameter.
What is a sphere?A sphere is a geometrical object that is a three-dimensional analogue to a two-dimensional circle. A sphere is the set of points that are all at the same distance r from a given point in three-dimensional space. That given point is the centre of the sphere, and r is the sphere's radius.
Given that, segment MN has endpoints on a sphere. If segment MN does not pass through the center of the sphere.
A chord of a circle is a straight line segment whose endpoints both lie on a circular arc.
So, the most specific name for segment MN is chord.
Here, segment MN lies on a plane that intersects the center of a sphere.
A diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.
Therefore, the intersection between the sphere and the plane is the is diameter.
Learn more about the sphere here:
https://brainly.com/question/12390313.
#SPJ1
how many ways are there to distribute 15 distinguishable objects into five distinguishable boxes so that the boxes have one, two, three, four, and five objects in them, respectively.
There are 37,837,800 ways to distribute 15 distinguishable objects into five distinguishable boxes so that the boxes have one, two, three, four, and five objects in them, respectively.
We are trying to find the number of ways to distribute 15 distinguishable objects into five distinguishable boxes so that each box has 1, 2, 3, 4, and 5 objects in them, respectively.
We can use the formula for combination to solve this problem. The number of ways to distribute n distinct objects into r distinct boxes where the first box has k1 objects, the second box has k2 objects, ..., and the last box has kr objects is:
n! / (k1! * k2! * ... * kr!)
Where n! is the factorial of n, k1! is the factorial of k1 and so on.
In this case, we have 15 distinct objects and 5 distinct boxes where the first box has 1 object, the second box has 2 objects, the third box has 3 objects, the fourth box has 4 objects, and the fifth box has 5 objects.
So, the number of ways to distribute 15 distinguishable objects into five distinguishable boxes so that the boxes have one, two, three, four, and five objects in them, respectively is:
15! / (1! * 2! * 3! * 4! * 5!) = 15! / (1×2×6×24×120)
= 37,837,800
To know more on combination
https://brainly.com/question/29223146
#SPJ4
What are the 3 types of slope formulas?
The slope formula, when two points are on a line, the Slope-intercept formula, Point-slope formula, are the 3 types of slope formulas.
The slope of a line is defined as the change in the y coordinates with respect to the change in the x coordinate of that line.
The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of the line in the coordinate plane.
Slope formula: m = (y₂ - y₁) / (x₂ - x₁), when two points on a line,
Slope-intercept formula: y = mx + b, the slope, and y-intercept of a line
Point-slope formula: y - y1 = m(x - x1), the slope of a line and a point on the line.
To know more about slope formulas:
https://brainly.com/question/6497976
#SPJ4
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper.
The graph of 2x + 3y = 1470 have a y intercept of 490
What is an equation?An equation is a expression that shows the relationship between numbers and variables.
The standard form of a linear equation is:
y = mx + b
Where m is the rate of change and b is the y intercept
Let x represent the number of sandwich and y represent the number of wraps.
The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. Hence:
2x + 3y = 1470
The graph is attached
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Workers employed in a large service industry have an average wage of $7. 00 per hour with a standard deviation of $. 50. The industry has 64 workers of a certain ethnic group. These workers have an average wage of $6. 90 per hour. Is it reasonable to assume that the wage rate of the ethnic group is equivalent to that of a random sample of workers from those employed in the service industry
There's still a 5.48% chance that you'd find that the average of their 64 wages is $6.90 or less so to assume that the wage rate of the ethnic group is equivalent to that of a random sample of workers from those employed in the service industry is not valid.
What is a random normal distribution?A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution.It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean. The normal distribution is depicted graphically as a "bell curve."If the true mean of this group's wages is also $7.00 and the standard deviation is $0.50, then the average of a sample of n workers has the same mean and a standard deviation of (pop. stan. dev. / √n).
In this case, the sample average is a random variable with a mean of $7.00 and a standard deviation of $0.50/√64 = 0.0625.
If a random variable has a normal distribution with a mean $7.00 and st. dev. $0.0625, then the probability of observing it as $6.90 or less is:
P[sample mean < 6.90] = P[z < (6.90 - 7.00)/0.0625] = P[z < -1.6] = 0.0548.
In other words, it could be the case that there's no discrimination against ethnic workers, and there's still a 5.48% chance that you'd find that the average of their 64 wages is $6.90 or less.
To learn more about Normal Distribution visit:
https://brainly.com/question/29647479
#SPJ4
help me pls thank you!
Answer: Information given below…
Step-by-step explanation:
Answer:
QR =40
Step-by-step explanation:
25÷5=5
35÷7=5
They are similar so we can conclude that QPR is 5 times bigger than ABC
Therefore
8^5= 40
And that's the answer
At the beginning of spring, Anand planted a small sunflower in his backyard. When it
was first planted, the sunflower was 10 inches tall. The sunflower then began to grow
at a rate of 2 inches per week. How tall would the sunflower be after 9 weeks? How
tall would the sunflower be after w weeks?
Answer:
The sunflower is 28 inches tall after 9 weeks
The sunflower is 2w + 10 tall after w weeks
Step-by-step explanation:
We know
The sunflower was 10 inches tall, growing at a rate of 2 inches per week. Let's T represent the tall of the sunflower; we have the equation
t = 2w + 10
How tall would the sunflower be after 9 weeks?
t = 2(9) + 10
t = 28 inches
How tall would the sunflower be after w weeks?
t = 2(w) + 10
t = 2w + 10
So,
The sunflower is 28 inches tall after 9 weeks
The sunflower is 2w + 10 tall after w weeks
DEDUCTIVE OR INDUCTIVE?
1. 2, 4, 6, 8. The next number is 10.
A. Inductive Reasoning
B. Deductive Reasoning
2. All plants need water. Water Hyacinth is a plant. Therefore, Water Hyacinth need water.
A. Inductive Reasoning
B. Deductive Reasoning
3. The next square has 16 dots.
A. Inductive Reasoning
B. Deductive Reasoning
4. A child’s teacher in pre-school is a female. In his grade 1 and 2, his teacher were both female. The child may say that her/his next teacher is female.
A. Inductive Reasoning
B. Deductive Reasoning
5. All football players are muscular. Peter is muscular. Therefore, Peter is a football player.
A. Inductive Reasoning
B. Deductive Reasoning
The answer to the first, third and fourth part is inductive reasoning and the answer to the second and fifth part is deductive reasoning.
The first example is an example of Inductive reasoning because it is based on a pattern or trend of a sequence of numbers (2, 4, 6, 8) and uses that pattern to make a prediction or generalization about the next number in the sequence (10). This is a common use of inductive reasoning, where observations or data are used to make generalizations about future events or situations.
The second example is an example of Deductive reasoning because it starts with a general statement (all plants need water) and applies it to a specific case (Water Hyacinth) to reach a logical conclusion (Water Hyacinth needs water). This is the classic form of deductive reasoning, where the conclusion follows logically from the premises and can be proven to be true if the premises are true.
The third example is an example of Inductive reasoning because it is based on a pattern or trend of a sequence of numbers (dots in squares) and uses that pattern to make a prediction or generalization about the next number in the sequence (16 dots in the next square).
The fourth example is an example of Inductive reasoning because it is based on a pattern or trend of a sequence of events (pre-school, grade 1, grade 2) and uses that pattern to make a prediction or generalization about the next event in the sequence (the child's next teacher will be female).
The fifth example is an example of Deductive reasoning because it starts with a general statement (all football players are muscular) and applies it to a specific case (Peter) to reach a logical conclusion (Peter is a football player). This is the classic form of deductive reasoning, where the conclusion follows logically from the premises and can be proven to be true if the premises are true.
To know more on Inductive Reasoning or Deductive Reasoning
https://brainly.com/question/2437643
#SPJ4
Find the equation of the linear function represented by the table below in
slope-intercept
form.
Answer:
y = x + 5
Step-by-step explanation:
You can see that x is increasing at exactly the same rate as y. That rate is 1. This gives the graph a slope of 1. Now we can determine by subtracting 1 from y when x = 1 that the y intercept is 5. Slope intercept is y = mx+b. The y intercept is b which is five and the slope is m which is one.
What is a 1/2 percentage?
Answer:
50%
1 2 = 1 × 50 2 × 50 = 50 100 . . So the answer is 50%
please mark me as a brainalist
Find b such that the line from the origin to (3, 4b) is parallel to the line from the origin to (b, 3).
The values of b that makes the lines parallel are given as follows:
b = ± 3/2.
How to define a linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the rate of change of the linear function.b is the intercept, representing the initial value of the linear function.When two lines are parallel, they have the same slope.
Given two points, the slope is given as the change in y divided by the change in x.
This means that the slopes for each line are given as follows:
Origin to (3,4b): 4b/3.Origin to (b, 3): 3/b.As they are parallel, the value of b is obtained as follows:
4b/3 = 3/b.
4b² = 9
b² = 9/4
[tex]b = \pm \sqrt{\frac{9}{4}}[/tex]
b = ± 3/2.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
1. What is the shortest distance between points A and B on the cylinder shown, if we already know that the height of the cylinder is 12 inches & the circumference of the base is 18 inches?
The shortest distance between points A and B on the cylinder is 6 inches.
What is the shortest distance between points A and B on the cylinder?This problem uses the Pythagorean Theorem to calculate the shortest distance between points A and B. The Pythagorean Theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
In this problem, the hypotenuse is the shortest distance between points A and B and the other two sides are the radius and height of the cylinder.
Step 1: Calculate the radius of the cylinder by dividing the circumference of the base (18 inches) by 2π (3.14159):
r = 18 inches / 2π = 2.827 inches
Step 2: Calculate the height (h) of the cylinder by subtracting the radius from the total height (12 inches):
h = 12 inches - 2.827 inches = 9.173 inches
Step 3: Calculate the shortest distance between points A and B by multiplying the height (h) by 2:
d = 9.173 inches x 2 = 18.346 inches
Step 4: Round the result to the nearest whole number:
d = 18.346 inches ≈ 6 inches
To learn more about Pythagorean Theorem refer :
brainly.com/question/14930619
#SPJ1
Boon Li spent 3/4 of his money on a calculator and 1/3 of the remainder on a torch. What fraction of his money did Boon Li spend altogether?
Answer:
Boon Li spent 7/12 of his money altogether.
try these amc 8 algebra questions and check your knowledge! amc 8,2020 problem 1 luka is making lemonade to sell at a school fundraiser. his recipe requires 4 times as much water as sugar and twice as much sugar as lemon juice. he uses 3 cups of lemon juice. how many cups of water does he need?
He need 12 cup of water.
What is algebra?Algebra is a branch of mathematics that studies the manipulation of symbols in equations. It is used to solve problems involving unknowns, such as finding the solution to equations or determining the unknown value of a variable. Algebra is used in many areas of mathematics, science, and engineering. It is also used to understand and analyze functions, graphs, and other mathematical relationships. Algebra has applications in fields such as finance, physics, chemistry, and engineering.
To solve this problem, we can set up a proportion. Since the ratio of water to sugar is 4 to 1, and the ratio of sugar to lemon juice is 2 to 1, we can write the proportion 4/1 = 2/x, where x is the amount of water. Solving for x, we get x = 4/2 = 2. Multiplying this by the amount of lemon juice, 3 cups, gives us our answer of 12 cups of water.
To know more about Algebra click-
https://brainly.com/question/22399890
#SPJ4
Write the equation of this line in slope-intercept form.
Answer:
Step-by-step explanation:
m= 3/1
y-int=-5
three students (a, b, and c) are asked to determine the volume of a sample of ethanol. each student measures the volume three times with a graduated cylinder. the results in milliliters are: a (87.1 , 88.2, 87.6); b (86.9, 87.1 , 87.2); c (87.6, 87.8, 87.9). the true volume is 87.0 ml. which student has the best precision?
The values in b are compared with the true volume. And we conclude that b is precise and accurate.
Accuracy determines how closely measured values match the actual value. The degree to which two measured values are inside a certain range, or how closely they agree, is called precision.
First calculate the mean of a, b, and c. We get, the mean of a is 87.63, the mean of b is 87.06, and the mean of c is 87.77.
From the values in "a", we can tell there is no good agreement between the given values, and just one (87.1) value is near to the true value. So a is neither precise nor accurate.
From the values in "b", we can tell these given values are reasonably close to the true value and exhibit good agreement. So b is precise and accurate.
From the values in "c", we can tell there is a considerable agreement between the given values but they are not very close to the true value. So c is precise but not accurate.
To know more about precision and accuracy:
https://brainly.com/question/28289139
#SPJ4
write an expression to represent the sum of three consecutive odd integers in which n is the least number.
An expression to represent the sum of three consecutive odd integers is 3n + 3
The term expression in math is known as a sentence with a minimum of two numbers or variables and at least one math operation.
Here we have given that an expression to represent the sum of three consecutive odd integers in which n is the least number.
As here we have given that since the smallest integer is n,
And then it can be written as n+1 and n + 2 are the consecutive integers after that.
And then finally here we have to know that if you add them all up, then it becomes (n) + (n+1)+(n + 2) or simply 3n+3.
To know more about expression here.
https://brainly.com/question/14083225
#SPJ4
PART 2 : Show your work for the equation gives the exact answer do not approximate :)
The value of x is equal to 0.660441.
what is the logarithmic function?In mathematics, the logarithmic function is an inverse function to exponentiation. The logarithmic function is defined as For x > 0, a > 0, and a ≠1, y= logₐ x if and only if x = a^y Then the function is given by f(x) = logₐ x The base of the logarithm is a. This can be read it as log base a of x.
Given here: The exponential function 2(3e)ˣ=8
Simplifying further we get, (3e)ˣ=4
Taking log both sides we get x (ln3+1)=ln4
x×2.0986=1.386
x=0.660441
Hence, The value of x is equal to 0.660441.
Learn more about logarithmic function here:
https://brainly.com/question/30085872
#SPJ1
How many days is 18,000 seconds?
That's 0.20833 of one day./
(5/24 of a day)
. In one paragraph explain in your own words why is parallel line so important in our everyday lives.
The reason why parallel line is so important in our everyday lives is that help us to understand the path of the objects and sides of the various shapes.
Why is studying parallel lines important?Because they allow us to construct congruent angle pair relationships, parallel lines and transversals are crucial to the study of geometry.
Understanding the movement of objects and the sides of various forms is made easier with the aid of parallel lines. For instance, the opposing sides of parallelograms, squares, and rectangles are parallel to one another. The parallel line is frequently employed in the building sector.
Learn more about parallel line at:
https://brainly.com/question/24607467
#SPJ1
what is the common ratio of the geometric system 24,6,1.5,0.75
Answer:
0.25 or 1/4
Step-by-step explanation:
To find the common ration in a geometric sequence, divide the second number by the first number. In this case, divide 6 by 24.
P. S. If you find my answer the most helpful could you please choose it as the Brainliest? Have a great night!
What are the x- and y-intercepts of the equation?
y = log (3x + 4) + 2
Round only the final answers to the nearest hundredth.
Enter your answers in the boxes.
x-intercept: =
y-intercept =
x- intercept: x = -1.33, y- intercept: y = log 4 + 2
How to find where does a function crosses x or y-axis?Suppose that the line considered be of the form y=f(x)
The equation for y-axis is x = 0
Thus, intersection between both the curves is obtained by putting x = 0 in the considered function.
We get x=0 and y=f(0)
Thus, the coordinate point of intersection with y-axis is (0,f(0))
And the equation for x-axis is y=0
Thus, its intersection with given function is at y= 0 and y such that
f(x)=0
Given equation,
y = log (3x+4) + 2,
For x - intercept,
y = 0,
0= log(3x+4) +2
-2= log(3x+4)
10^-2= 3x+4 ([tex]log_{m}[/tex]a=b => a=m^b)
0.01= 3x+4
0.01-4=3x
x= -3.99= -1.33
For y-intercept,
x = 0,
y=log(3(0)+4)+2= log4+2
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ1
In triangle JFR , m angle J=35 and the measure of the exterior angle at F is 115. Which is the longest side of the triangle ?
Answer:
JF
Step-by-step explanation:
There is a rule where if the angle in a triangle is facing the smallest side, that angle is the smallest of the other 2 angles in the triangle, and vice versa. If the angle in a triangle is facing the biggest side, well, you can see where this is going(the angle is the biggest)
So if we look at this beautiful drawing that I drew :
Angle <JFR is 180 - 115, which is 65.
And the last angle is 180 - 65 - 35 = 80
Angle R is the biggest angle.
So the side that is facing R is the longest side, which is JF