Given:
The function is given
\(y=2sin(x+\frac{\pi}{4})+2\)Required:
Find the amplitude and graph the function.
Explanation:
compare the equation with the equation
\(y=asin(bx+c)+d\)Where a = amplitude
period =
\(\frac{2\pi}{b}\)Phase shift =
\(-\frac{c}{b}\)Vertical shife = d
Compare the given equation with the standard equation we get
a = 2, b = 1,
\(c=\frac{\pi}{4}\)d = 2
Period
\(\begin{gathered} =\frac{2\pi}{b} \\ =\frac{2\pi}{1} \\ =2\pi \end{gathered}\)Phase shift
\(\begin{gathered} =-\frac{c}{b} \\ =-\frac{\frac{\pi}{4}}{1} \\ c=-\frac{\pi}{4} \end{gathered}\)Vertical shift d = 2
Help please. This is due at midnight
Answer:
Yes, he got the correct quotient
Step-by-step explanation:
1.5 divided by 1/3 is 4.5, and 4.5 is equal to 4 1/2
Answer:
Sage did it right.
your work:
1 1/2 ÷ 1/3
3/2 ÷ 1/3
3/2 × 3/1
9/2
4 1/2
Step-by-step explanation:
first convert 1 1/2 into an improper fraction:
multiply the 2 and 1, you get 2, than add that to the current numerator to get a new one. You get 3/2 as your improper fraction
you now have: 3/2 ÷ 1/3
then turn the division sign into a multiplication sign by flipping the divisor:
you get 3/2 × 3/1
solve this:
multiply the numerators together, you get 9 as a new numerator
multiply your denominators, you get 2 as your new denominator
so now you have 9/2
next turn this into a mixed fraction, you get 4 1/2
so Sage did it right.
ab + ac = d
> solve for a
Answer:
The value of a is d/(b+c)
A normal population has a mean of $95 and standard deviation of $14. You select random samples of 50. Requiled: a. Apply the central limat theorem to describe the sampling distribution of the sample mean with n=50. What condition is necessary to apply the central fimit theorem?
The condition that necessary to apply the central limit theorem is random sampling
To apply the Central Limit Theorem (CLT), the following condition is necessary:
Random Sampling: The samples should be selected randomly from the population.
The Central Limit Theorem states that for a large enough sample size, the sampling distribution of the sample mean will be approximately normally distributed, regardless of the shape of the population distribution. This holds true under the condition of random sampling.
In your case, since you are selecting random samples of size 50 from a normal population with a mean of $95 and a standard deviation of $14, you satisfy the condition of random sampling required for the application of the Central Limit Theorem.
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Select the shapes that have at least 1 apex.
Right circular cone
Right circular cylinder
Right pyramid
Right triangular prism
A and B
A and C
B and C
C and D
Answer:
A and C : cones and pyramids
Step-by-step explanation:
only cones, pyramids and isosceles triangles have apexes
The shapes that have at least 1 apex are:
Right circular cone
Right pyramid
Therefore, the answer is C and D.
Which equation is equivalent to 5 – 2x = 12
-2x = 7
2x = 17
2x =7
-2x =17
PLEASE HELP
Answer:
5-2x=12
-5. -5
-2x=7 so ans shld be -2x=7
Answer:
-2x = 7
Step-by-step explanation:
Problem to solve:
5 - 2x = 12
Step 1:
We need to isolate the dependent variable x, we can do that by subtracting 5 from both sides of the equation.
=
-2x = 7
Step 2: (to find x)
Divide both sides of the equation by -2
=
\(x = -\frac{7}{2}\)
Hope this helped :)
I need help!!! Like right now
solve the equation for x:
x^2-ax+bx-ab=0
Answer:
im assuming this is a solve for x so uhm x = a x = b
Step-by-sitep explanation:
why is an unbiased staitistc generally preferred overan a biased statistic for estimating a population
An "unbiased-statistic" is preferred over "biased-statistic" for estimating population because it provides more accurate estimate of true population parameter.
A "biased-statistic" systematically overestimates or underestimates the population parameter, which leads to incorrect conclusions about the population. Biases can arise in many ways, such as through sampling methods or measurement errors.
Whereas, an "unbiased-statistic" is not systematically too high or too low, but rather it is an estimate that is equal on average to the true population parameter.
The "Unbiased-estimates" have a smaller "sampling-error" and are more accurate and more reliable for making inferences about the population.
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Jasmine bought a fidget spinner for $3. She decided to mark up the price by 850% and sell it to her friend Bryan. How much did Jasmine sell the fidget spinner to Bryan for? Do not include the $ sign.
please help:)
Jasmine sold the fidget spinner to Bryan for the cost of $5.55.
To find the cost that Jasmine sold the fidget spinner to Bryan for, we need to first find the amount of the markup by multiplying the original price by the markup percentage.
As per the question, the original price of the fidget spinner is $3, and the markup percentage is 850%, so the markup amount is :
$3 × 850% = $2.55.
Next, we need to add the markup amount to the original price to find the selling price. So, the selling price is :
$3 + $2.55 = $5.55.
Therefore, Bryan paid $5.55 for the fidget spinner that Jasmine had just sold him.
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Janet weights 20 pounds more than anna if the sum of their weights is 250 lb how much does each girl weigh
Anna's weight is 115 pounds and Janet's weight is 135 pounds.
What is weight?The weight of the object is the force acting on it due to gravity in science and engineering. Weight is defined as a vector quantity in some standard textbooks, as the force of gravity acting on the object. Others define weight as just a scalar quantity, the magnitude of gravity.To find the wight of Anna and Janet:
It is assumed:
Janet is 20 pounds heavier than Anna.This means that if Anna weighs x pounds,Janet's age is then (x+20) pounds.Also,
Their combined weight is 250 pounds.So,
x+x+20 = 2502x+20=250Subtraction of both sides by 20 yields:
2x = 250-202x = 230By dividing both sides by 2, we get:
x = 115So, Anna's weight is 115 pounds and Janet's weight is 115+20=135 pounds.
Therefore, Anna's weight is 115 pounds and Janet's weight is 135 pounds.
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What is the square of √ 1?
The square of given expression √1 ( square root of 1 ) is equal to 1.
As given in the question,
Given expression is equal to √1 ( square root of 1 )
To calculate the square of √1 we have,
Let us consider variable x is equal to √1
x = √1
Now take square on both the sides of the given expression we get,
x² = (√1 )²
⇒ x² = √1 × √1
Multiplying square root of 1 to square root of 1 is equal to 1 we get,
or use law of exponent :
√1 × √1 = \(1^{\frac{1}{2} + \frac{1}{2} }\)
= 1
⇒ x² = 1
Therefore, the square of the given expression √1 ( square root of 1 )is equal to 1.
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7
4
6
W
Plsssss I will mark Brainly est
Answer:
7/24
Step-by-step explanation:
(There are many methods to divide fractions, but this is the easiest one in this situation)
7/6 ÷ 4
Dividing something by four is the same as dividing by 4/1, which is the same as multiplying it by 1/4.
So,
7/6 * 1/4
Multiply the denominators.
7 / 24
Hope this helps! Feel free to ask any questions! :)
(Honestly, this problem wasn't much of a hassle, so I don't think I really deserve Brainliest. Keep it!)
HELPPPP MEEEE OUTTTTT ASAPPPPP PLEASEEEEE!!!!!
Answer:
cos A = 7/25
Step-by-step explanation:
Since we are given a right triangle, we can use trig functions
cos A = adj side/ hypotenuse
cos A = 7/25
Answer:
\(\boxed{\sf cos\ A =\frac{7}{25}}\)
Step-by-step explanation:
We need to find out the value of cos A using the given triangle . Here we can see that the sides of the triangle are 7 , 25 and 24 .
We know that the ratio of sine is base to hypontenuse .
\(\sf\longrightarrow cos\theta =\dfrac{ base}{hypontenuse}\)
Here we can see that the side along the angle A is 7 , therefore the base of the triangle is 7. And the side opposite to 90° angle is 25 . So it's the hypontenuse . On using the ratio of sine ,
\(\sf\longrightarrow cos \ A =\dfrac{ b}{h}=\dfrac{AB}{AC}\)
Substitute the respective values ,
\(\sf\longrightarrow \boxed{\blue{\sf cos \ A =\dfrac{7}{25}}}\)
Hence the required answer is 7/25.
Can someone please help me !!!!!
Answer:
Step-by-step explanation:
Sorry I didn't mean to do that.
The area a of a circle is pi times the radius R squared as an equation
Answer:
pi r squared
Step-by-step explanation:
A=pir2
pi is 3.14
hope it helps
price level (p) value of money (1/p) quantity of money demanded (billions of dollars) 1.00 1.5 1.33 2.0 2.00 3.5 4.00 7.0
The relationship between price level (P), value of money (1/P), and quantity of money demanded (Q) is as follows:
As P increases, the value of money (1/P) decreases.
As P increases, the quantity of money demanded (Q) increases.
In macroeconomics, the quantity theory of money is a concept that states that the supply and demand for money determine the level of prices.
The concept is based on the assumption that the velocity of money (the rate at which money is exchanged in the economy) and real output are constant.
This theory is expressed mathematically as follows: MV = PQ, where M is the money supply, V is the velocity of money, P is the price level, and Q is real output.
The relationship between the price level, value of money, and quantity of money demanded can be explained through the quantity theory of money equation: MV = PQ
Where M is the money supply, V is the velocity of money, P is the price level, and Q is the quantity of goods and services produced in an economy.
We can rearrange this equation to solve for P:
P = MV/Q
Now, using the given data, we can find the relationship between price level (P), value of money (1/P), and quantity of money demanded (Q):
Price Level (P)Value of Money (1/P)
Quantity of Money Demanded (billions of dollars)1.001.5001.3312.003.504.007.0
To calculate the value of money (1/P), we need to take the reciprocal of each value of P. For example, if P = 1, then 1/P = 1/1 = 1.
Using the formula P = MV/Q, we can calculate the value of M by rearranging the equation: M = PQ/V. Since we don't have data for V, we can assume that it is constant (i.e., V = 1).
Therefore, M = PQ.To calculate the quantity of money demanded (Q), we can use the formula Q = MV/P. Again, assuming that V is constant at 1, we get Q = M/P.So, using the data in the table, we can calculate:
M = PQ = 1.00 x 1.5 = 1.5Q = MV/P = 1.5 x 1.00 = 1.5 billion dollars
M = PQ = 1.33 x 2.00 = 2.66Q = MV/P = 2.66 x 1.33 = 3.54 billion dollars
M = PQ = 2.00 x 3.50 = 7.00Q = MV/P = 7.00 x 2.00 = 14.00 billion dollars
M = PQ = 4.00 x 7.00 = 28.00Q = MV/P = 28.00 x 4.00 = 112.00 billion dollars
Therefore, the relationship between price level (P), value of money (1/P), and quantity of money demanded (Q) is as follows:
As P increases, the value of money (1/P) decreases.
As P increases, the quantity of money demanded (Q) increases.
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The answer to the quantity of money demanded (billions of dollars) is shown in the table below.
Price level (p)Value of money (1/p)Quantity of money demanded (billions of dollars)1.001.55.001.333.52.007.04.0012.5
As per the table given above, the quantity of money demanded (billions of dollars) is as follows for the respective price level (p) given below:
When the price level is 1.00, the quantity of money demanded is $5 billion.
When the price level is 2.00, the quantity of money demanded is $3.5 billion.
When the price level is 4.00, the quantity of money demanded is $12.5 billion.
The table provided above shows the relationship between the price level and the quantity of money demanded.
It can be observed that as the price level increases, the value of money decreases and the quantity of money demanded increases.
This shows an inverse relationship between the value of money and the quantity of money demanded.
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Emily drinks 6 cups of water every day, while Jackie drinks 8 cups of water every day. Which graph represents the total amount of water consumed by Emily and Jackie over a 4-day period?
Answer:
6 12 18 24
___________
8 16 24 32
1/6y + 3/6y = 10
Hurry plaz
Y=15
1. use standard form
2/3y _ 10 = 0
2. Factorization
2/3 (y _ 15) =0
3. solution
y = 60/4
y = 15
Membership to a video game club is $50 a year and $3 per game rented. At the end of the year Harvey had spent $296. How many games had he rented?
Membership to a video game club is $50 a year and $3 per game rented. At the end of the year Harvey had spent $296. he played games had he rented 82 games.
What are mathematical operation?Calculating a value using operands and a math operator is referred to as performing a mathematical "operation." The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers.
A set of numbers and operations make up a mathematical expression. The components of a mathematical expression that performs an operation are:
Operands: Operands are the numerical values that are employed in an operation. Different words are given to the operands depending on the type of operation.
Operator: An operator is the symbol used to represent a mathematical operation.
+ for the addition− for the subtraction× for the multiplication÷ for the division = for the equal to, indicates the equivalence, that is the left hand side value is equal to the right hand side value.Solving the above;
Membership costs him= $50
Per game rented= $3
Amount he spent = $296
Therefore, Number of games he rented=\(\frac{296-50}{3}\)
= 82
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In the diagram below, the length of segment XY can be written as WN for some positive integer N. Find N.
The value of N in the quadrilateral is 9.
We are given that;
Angle z is 75degree angle x=105degree and angle w=90degree y=90degree ZW=4 WX=4 XY=under root N
Now,
we can use the fact that angle Z is 75 degrees and angle X is 105 degrees to find angle YZ. Since the sum of the angles in a quadrilateral is 360 degrees, we have:
Z+X+W+Y=360
Substituting the given values, we get:
75+105+90+YZ=360
Solving for YZ, we get:
YZ=90
Since angle YZ is 90 degrees, we can use the trigonometric ratio of tangent to find ZY. The tangent of an angle is defined as the ratio of the opposite side to the adjacent side. That is:
tanθ=adjacent/opposite
Applying this to angle YZ, we get:
tan YZ =ZWZY
Substituting the given values, we get:
tan90=4ZY
Solving for ZY, we get:
ZY=4tan90
Therefore, by the quadrilateral the answer will be 9.
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help help help help i’ll do anything please help
The required shape is translated 9 square(s) to the right/left and h square(s) up/down, depending on the signs of 9 and h.
The translation by the vector (9) h moves a shape g squares to the right and h squares up. This means that the shape is translated g squares to the right if 9 is positive, or g squares to the left if 9 is negative. Similarly, the shape is translated h squares up if h is positive, or h squares down if h is negative. So, the complete description of the translation is:
The shape is translated 9 square(s) to the right/left and h square(s) up/down, depending on the signs of 9 and h.
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1.888 repeating as a mixed number
Answer:
1 111/125
Step-by-step explanation:
4 3/5 - 2 1/6 what is the awncer????
Answer:
2.44
Step-by-step explanation:
let f(x, y) be a function such that • the limit of f(x, y) as x → 0 along the path y = x is 0. • the limit of f(x, y) as x → 0 along the path y = x 2 is 0.
The function f(x, y) satisfies the conditions that its limit approaches zero as x approaches zero along two different paths: y = x and y = x^2. This implies that as x approaches zero, the function f(x, y) must approach zero regardless of whether y varies linearly or quadratically with x.
The given conditions state that the limit of f(x, y) as x approaches zero along the path y = x is zero. This means that as x gets arbitrarily close to zero, the function f(x, y) approaches zero when y varies linearly with x. Similarly, the second condition states that the limit of f(x, y) as x approaches zero along the path y = x^2 is also zero. This implies that when y varies quadratically with x, the function f(x, y) still approaches zero as x approaches zero. Therefore, the function f(x, y) must satisfy both conditions by converging to zero as x approaches zero along both paths.
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Determine The range of the following graph
Answer:
2-6
Step-by-step explanation:
O Assignment is
eBookwork
Consider the conjecture, "Any number divisible by 2 is also divisible by 4." Is each of the numbers 12, 19, 22, 28, and 30 a counterexample of the conjecture?
Complete the following table.
Please find attached a diagram with the completed table
In order to determine which number is a counterexample of the conjecture, we are to divide each number by 2 and 4. A counterexample of this conjecture would only be divisible by either 2 or 4 but not both of them
Dividing the numbers by 2
12 / 2 = 6
19 / 2 = 9.5
22 / 2 = 11
28 / 2 = 14
30 / 2 = 15
Dividing the numbers by 4
12 / 4 = 3
19 / 4 = 4.75
22 / 4 = 5.5
28 / 4 = 7
30 / 4 = 7.5
22 and 30 are counterexamples because they are divisible by 2 but not by 4
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State the most specific name for each figure.
7)
The most specific name for the figure is an isosceles trapezoid
How to state the most specific name for the figure.From the question, we have the following parameters that can be used in our computation:
The figure
The properties of the given figure are
A pair of parallel sidesA pair of non- parallel sides pointing towards different directionsUsing the above as a guide, we have the following:
The figure is a trapezoid
Because the nonparallel sides are congruent, then the most specific name for the figure is an isosceles trapezoid
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the rate of college enrollment immediately after high school completion was 67
The statement " Rate of college enrollment immediately after completing high school was 67% by 1997" is an example of (a) Descriptive Statistics.
The Descriptive statistics involves the use of measures, such as averages, proportions, and frequencies, to summarize and describe the main features of a set of data.
In this statement, the rate of 67% is a summary statistic that describes the proportion of high school graduates who enrolled in college immediately after completing high school in 1997.
Whereas; the inferential statistics involves making inferences or predictions about a population based on a sample of data.
The statement provides a summary statistic for the rate of college enrollment for a specific year, 1997, but it does not provide any inferences or predictions about the rate of college enrollment for other years or other populations , so it denoted a Descriptive Statistics .
The given question is incomplete , the complete question is
What type of Statistics does the statement "the rate of college enrollment immediately after high school completion was 67" represents ?
(a) Descriptive
(b) Inferential
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How to calculate the volume of water in your pool?
Answer:
Step-by-step explanation:
The volume of water in a pool can be calculated using the following formula:
Volume (in gallons) = Length (in feet) x Width (in feet) x Average Depth (in feet) x 7.5
For example, if your pool is 20 feet long, 15 feet wide, and has an average depth of 5 feet, the volume of water in your pool would be:
20 x 15 x 5 x 7.5 = 5625 gallons
Note: If you prefer metric units, the formula for volume in liters would be:
Volume (in liters) = Length (in meters) x Width (in meters) x Average Depth (in meters) x 1000
It's important to note that this formula assumes a standard rectangular or square pool shape. If your pool has a more complex shape, you may need to measure the volume in smaller sections and add the volumes together to get the total volume.
Find the volume of the solid shown in the figure
Answer:
The answer to the question is 603.186