The graph of this function begins at 5 and moves down to 2 and back to 5 again in a repeated pattern over one period of 1.
A cosine function is a periodic function that fluctuates about its midline and follows a predictable pattern. The formula for a cosine function with a midline of y = c, amplitude of a, and period of b is:y = a cos(bx) + cTo shift the graph of a cosine function,
you can add or subtract a value inside the parentheses of the formula, which results in a horizontal shift.
The shift is to the right if you add, and to the left if you subtract.In this instance,
the cosine function has the following characteristics:Midline = y = 5Amplitude = 3Period = 1Horizontal shift to the right = 1/4We'll have to adjust the formula to include all of these parameters.
First and foremost, let's figure out the function's frequency, which is determined by dividing 2π by the period of the cosine function. In this example, the frequency is 2π/1, which equals 2π.
y = a cos(bx) + c is the formula we'll use. We'll substitute the values given into the formula. The resulting formula is:y = 3cos(2π(x - 1/4)) + 5This is the cosine function with a midline of y = 5, an amplitude of 3, a period of 1, and a horizontal shift of 1/4 to the right.
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Which of the following statements are true?
1. Corresponding angles of congruent figures are the same.
2. Corresponding angles of similar figures are the same.
3. Corresponding sides of congruent figures are the same
4. Corresponding sides of similar figures are the same
A. 1 and 2
B. 1 and 4
C. 1, 2, 3 and 4
D. 1, 2 and 4
The correct answer is D. Statements 1, 2, and 4 are true, while statement 3 is not necessarily true.
Corresponding angles of congruent figures are the same because congruent figures have the same size and shape, so their angles are congruent as well. Corresponding angles of similar figures are also the same because similar figures have the same shape,
but not necessarily the same size, so their angles are proportional and therefore congruent. Corresponding sides of congruent figures are the same because congruent figures have the same size and shape, so their corresponding sides are congruent as well.
However, corresponding sides of similar figures are not necessarily the same, as they are proportional in size.
Understanding the properties of congruent and similar figures is important in geometry, as they form the basis of many geometric proofs and applications in real life.
Congruent figures are useful in situations where exact matching is required, such as in construction and manufacturing.
Similar figures, on the other hand, are useful in situations where the relative proportions of the objects are important, such as in maps and blueprints.
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explain what circumstances would cause a radical expression to have no solution
Answer:
Well,
Step-by-step explanation:
For a radical expression to have no solutions, the radical expressions given must have no common intersection point. For example, \(\sqrt[]{\\}\)(3x-7) = - \(\sqrt[]{\\}\)(2x-1) is a radical expression with no solution.
When radical expression has a square root that is equal to a negative number, then that equation will have no solution.
What is a radical expression?
A radical expression is an expression containing a radical (√) symbol and if a radical expression has a square root that is equal to a negative number, then that equation will have no solution.
So,
For a radical expression to have no solutions,
The radical expressions must have no common intersection point.
And also,
A radical expression has a square root that is equal to a negative number, then that equation will have no solution.
Which is mentioned above in the statements.
Hence we can say that When a radical expression has a square root that is equal to a negative number, then that equation will have no solution.
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Find a particular solution y of the following equation using the method of Undetermined Coefficients. Primes denote the derivatives with respect to x. y' - y' - 2y = 5x + 4 A particular solution is yp(x)=
The particular solution of differential equation is yp(x) = (-5/2)x - 9/4
To find a particular solution y of the differential equation y' - y'' - 2y = 5x + 4 using the method of Undetermined Coefficients, we assume that the particular solution has the form:
yp(x) = Ax + B
where A and B are constants to be determined.
Next, we take the first and second derivatives of yp(x) as follows:
yp'(x) = A
yp''(x) = 0
Substituting yp(x), yp'(x), and yp''(x) into the differential equation, we get:
yp' - yp'' - 2yp = 5x + 4
A - 0 - 2(Ax + B) = 5x + 4
Simplifying and equating the coefficients of x and the constant terms, we get:
-2A = 5 (coefficient of x)
-A - 2B = 4 (constant term)
Solving for A and B, we get:
A = -5/2
B = -9/4
Therefore, the particular solution to the differential equation is:
yp(x) = (-5/2)x - 9/4
So the particular solution is:
yp(x) = (-5/2)x - 9/4
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figure A is a scale copy of figure B
The value of x is 42.
To determine the value of x, we need to analyze the given information regarding the scale factor between Figure A and Figure B.
The scale factor is expressed as the ratio of the corresponding side lengths or dimensions of the two figures.
Let's assume that the length of a side in Figure B is represented by 'x'. According to the given information, Figure A is a scale copy of Figure B with a scale factor of 2/7. This means that the corresponding side length in Figure A is 2/7 times the length of the corresponding side in Figure B.
Applying this scale factor to the length of side x in Figure B, we can express the length of the corresponding side in Figure A as (2/7)x.
Given that the length of side x in Figure B is 12, we can substitute it into the equation:
(2/7)x = 12
To solve for x, we can multiply both sides of the equation by 7/2:
x = (12 * 7) / 2
Simplifying the expression:
x = 84 / 2
x = 42
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10 is 32% of what number?
a. ; 32
b. ; 31.25
c. ; 3.2
d. ; 312.5
ANSWER:
31.25
STEP-BY-EXPLANATION:
you take 32 percent of a number and get 10, then what is that number?
you take 32 percent of a number and get 10, then what is that number?In other words, you know that 32 percent of a number is 10 and you want to know what that initial number is.
you take 32 percent of a number and get 10, then what is that number?In other words, you know that 32 percent of a number is 10 and you want to know what that initial number is.To solve this problem you multiply 10 by 100 and then divide the total by 32 as follows:
you take 32 percent of a number and get 10, then what is that number?In other words, you know that 32 percent of a number is 10 and you want to know what that initial number is.To solve this problem you multiply 10 by 100 and then divide the total by 32 as follows:(10 x 100) / 32
you take 32 percent of a number and get 10, then what is that number?In other words, you know that 32 percent of a number is 10 and you want to know what that initial number is.To solve this problem you multiply 10 by 100 and then divide the total by 32 as follows:(10 x 100) / 32When we put that into our calculator, we get the following answer:
you take 32 percent of a number and get 10, then what is that number?In other words, you know that 32 percent of a number is 10 and you want to know what that initial number is.To solve this problem you multiply 10 by 100 and then divide the total by 32 as follows:(10 x 100) / 32When we put that into our calculator, we get the following answer:31.25
GAVE ME THE BRAINLIEST IF MY ANSWER WAS HELPFUL...
Answer:
b. 31.25
Step-by-step explanation:
\(\frac{10}{y} :\frac{32}{100}\)
y × 32 = 10 × 100
32y = 1000
32y ÷ 32 = 1000 ÷ 32
y = 31.25
Solve the system of equations by using substitution. \mathrm{y}=2\mathrm{x}+3\newline \mathrm{y}=\mathrm{x}+2y=2x+3 y=x+2 \left(\mathrm{x},\mathrm{y}\right) =(x,y)=
Answer:
Step-by-step explanation:
It looks like your equations are
y = 2x + 3
y = x + 2
Using substitution, since the expressions, 2x+3 and x+2 are both equal to y, then they must be equal to each other.
2x+3 = x+2
Subtract x from both sides (this removes the x from the right side of the equation and we'll only have x on the left side)
x+3 = 2
Then subtract 3 from both sides if the equation.
x = -1
Almost finished! You still have to find y. You can use either of the original equations to find y. Use x = -1 in one of the equations. Let's use y = 2x + 3
y = 2x + 3
y = 2*(-1) + 3
y = -2 + 3
y = 1
So you found x=-1 and y=1. These are the answers because this pair makes both of the original equations true. We can write them in an ordered pair, like this:
(-1, 1)
Inside the parenthesis, the first number is the x and the second number is the y
Answer:
Solve for \mathrm{x}x : 9 \mathrm{x} + 2 = 69x+2=6
Step-by-step explanation:
Solve for \mathrm{x}x : 9 \mathrm{x} + 2 = 69x+2=6
what is the surface area of the image below?
Answer:
Total Surface Area = 24.887864491364 inches^2
itz pretty ez unless ur lazy tho
The distance between Lincoln, NE, and Boulder, CO, is about 500 miles. The distance between Boulder, CO, and a third city is 200 miles.
A map of the United notes.
Assuming the three cities make a triangle on the map, which values represent the possible distance, d, in miles, between Lincoln, NE, and the third city?
< d
The values that represent the possible distance, d, in miles, between Lincoln, NE, and the third city are given as follows:
300 < d < 699.
When does a set of three measurements can represent a triangle?A set of measurements can represent a triangle if the sum of the two smaller measurements is greater than the greater measures.
The measurements for this problem are given as follows:
500 miles.200 miles.x miles.Then if 500 miles is the largest distance, we have that:
x can be between 300 and 500.
If x is the largest distance, we have that:
x can be between 501 and 699.
Then the range of possible distances is given as follows:
300 < d < 699.
(which are the distances for each case).
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Answer:
see picture
Step-by-step explanation:
If f left parenthesis x right parenthesis equals x squared minus 3 x plus 5 , then f left parenthesis 4 right parenthesis equals
Answer:
f(4) = 9
Step-by-step explanation:
f left parenthesis x right parenthesis equals x squared minus 3 x plus 5
f(x) = x² - 3x + 5
f left parenthesis 4 right parenthesis equals
f(4) =
f(x) = x² - 3x + 5
When x = 4
f(4) = 4² - 3(4) + 5
= 16 - 12 + 5
= 9
f(4) = 9
Answer:
Pretty sure its A
Step-by-step explanation:
Is the statement true? Explain.
Answer:
The statement is true.
Step-by-step explanation:
We know that line IJ=JK and that line IH=HK. We also know that the two triangles share a side meaning that every side of each triangle is equivalent to each other making them congruent by the Side Side Side postulate.
If the diameter of a circle is 8. 4 in. , find the area and the circumference of the circle. Use 3. 14 for pi. Round your answers to the nearest hundredth
The circumference of the circle is 26.38 inches and the area of the circle is 55.39 square inches, both rounded to the nearest hundredth.
The diameter of a circle is the distance across the circle passing through its center. In this problem, the diameter of the circle is given as 8.4 inches. We can use the formula for the circumference and the area of a circle in terms of its diameter to find the solutions.
First, we can find the radius of the circle by dividing the diameter by 2. So, the radius is 8.4/2 = 4.2 inches.
To find the circumference of the circle, we can use the formula:
C = πd
where d is the diameter. Substituting the value of d = 8.4 inches and π = 3.14, we get:
C = 3.14 x 8.4 = 26.376
Therefore, the circumference of the circle is 26.38 inches (rounded to the nearest hundredth).
To find the area of the circle, we can use the formula:
A = πr²
where r is the radius. Substituting the value of r = 4.2 inches and π = 3.14, we get:
A = 3.14 x (4.2)² = 55.3896
Therefore, the area of the circle is 55.39 square inches (rounded to the nearest hundredth).
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Shonda has $73.28 more than Jane. Together they have
$130.30. How much money does Shonda have?
Answer: 57.02
130.3 - 73.28 = 57.02
Denise needs 4 cup of milk to make one milkshake how many pints will Denise need if she makes 6 milkshakes
Answer:12 pints of milk
Step-by-step explanation:
4x6=24cups
2cups = 1 pint
24 divided by 2 = 12
your answer is 12 pints of milk
What is the ratio of stars to moons? *
What is the ratio of moons to stars? *
The ratio of stars to moons and moons to stars are 3:1 and 1:3
What is the ratio?Ratio is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
Given;
There are 3 stars and 1 moon
Now,
Ratio of stars to moon;
=3:1
Ratio of moon to stars;
=1:3
Therefore, the answer ratio will be 3:1 and 1:3
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Find the new price for the markup given. Round to the nearest cent if neccessary 145.95 discounted 20%
Answer:
29.2
Step-by-step explanation:
What was the first public statement in support of the creation of a Jewish state?
A) The Treaty of Versailles in 1919.
B) The Conference of Berlin in 1884-85.
C) The Potsdam Declaration issued in 1945.
D) The issuance of the Balfour Declaration in 1917.
3x+3 gbggggggggggggggggggggg
Answer:
I think it is 3(x+1) not sure but try it(it is a graph answer)
How far above the ground is the dog's paw? Express your answer to the nearest inch.✓Submit30
We have a right triangle whose lengths are 26 inches and 36 inches.
We have that the largest side of a right triangle is the hypotenuse (c), and we can call the other side (one of the legs of the triangle) b. Then, using the Pythagorean Theorem, we have:
c = 36 inches.
b = 26 inches.
\(c^2=a^2+b^2\)We can solve this equation for a^2, subtracting b^2 to both sides of the equation:
\(c^2-b^2=a^2+b^2-b^2\Rightarrow c^2-b^2=a^2+0\Rightarrow a^2=c^2-b^2\)Then, we have:
\(a^2=36^2-26^2\Rightarrow\sqrt[]{a^2}=\sqrt[]{1296-676}\Rightarrow a=\sqrt[]{620}\Rightarrow a=24.899799\)Rounding this value to the nearest inch, we have that the value for a = 25 inches.
If a random variable has the normal distribution with μ = 30 and σ = 5, find the probability that it will take on the value between 24 and 28.
The probability that the random variable takes on a value between 24 and 28 is approximately 0.2295.
To find the probability that a random variable with a normal distribution (μ = 30, σ = 5) will take on a value between 24 and 28, we need to use the Z-score formula and consult the standard normal table.
Step 1: Calculate the Z-scores for 24 and 28.
Z1 = (24 - μ) / σ = (24 - 30) / 5 = -1.2
Z2 = (28 - μ) / σ = (28 - 30) / 5 = -0.4
Step 2: Consult the standard normal table to find the probabilities corresponding to Z1 and Z2.
P(Z1) = P(Z < -1.2) ≈ 0.1151
P(Z2) = P(Z < -0.4) ≈ 0.3446
Step 3: Find the probability that the random variable falls between 24 and 28.
P(24 < X < 28) = P(Z2) - P(Z1) = 0.3446 - 0.1151 ≈ 0.2295
So, the required probability is approximately 0.2295.
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Event A occurs with probability of 0.3 and event B occurs with probability 0.4. If A and B are independent, we may conclude that P (B/A) = 0.4. P (A and B) = 0.12. P (A/B) = 0.3. P (A or B) = 0.58. all of the answers are correct.
If A and B are independent, then the correct statements are P(A and B) = 0.12 and P(A or B) = 0.58.
Which statements regarding the probabilities of events A and B are correct when they are independent?Let's evaluate each statement:
P(B/A) = 0.4:
This statement is incorrect. If events A and B are independent, the occurrence of event A does not affect the probability of event B.
Therefore, P(B/A) would still be equal to the probability of B, which is 0.4 in this case.
P(A and B) = 0.12:
This statement is correct. The probability of the intersection of independent events A and B is calculated by multiplying their individual probabilities. In this case, P(A and B) = P(A) * P(B) = 0.3 * 0.4 = 0.12.
P(A/B) = 0.3:
This statement is incorrect. If events A and B are independent, the occurrence of event B does not affect the probability of event A. Therefore, P(A/B) would still be equal to the probability of A, which is 0.3 in this case.
P(A or B) = 0.58:
This statement is incorrect. To calculate the probability of the union of two events, we need to consider whether the events are mutually exclusive or not.
If events A and B are independent, but not mutually exclusive, we can calculate P(A or B) as P(A) + P(B) - P(A and B). In this case, P(A or B) = 0.3 + 0.4 - 0.12 = 0.58.
Therefore, the correct statements are:
P(A and B) = 0.12P(A or B) = 0.58The statements regarding P(B/A) = 0.4 and P(A/B) = 0.3 are incorrect in the context of independent events A and B.
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Given f(x) = -x² - 8x + 19, find f(-2)
Answer:
f(-2)=31
Step-by-step explanation:
f(x)=-x²-8x+19
f(-2)=-(-2)²-8(-2)+19
=-(-2*-2)+16+19
=-4+35
=31
f(-2)=31√
To put a narrow border around a square photo, alicia has 32 inches of trim. The area of the photo is 60 square inches. Will she have enough trim for all four sides of the square? Explain how you decided.
Answer:
yes
Step-by-step explanation:
ur right
The angles of a triangle are x,2x,3x. Find the value of x in degrees
Answer:
x=30°
Step-by-step explanation:
x +2x+3x=6x
since triangles are 180° in total. 6/180=30
so 30° is your answer.
ANSWER PLZ ILL GIVE BRAINLIEST FIRST PERSON WHO ANSWER IM BEGGING
Answer:
The slope is 9.
Step-by-step explanation:
Answer:
Slope = 9
Step-by-step explanation:
Slope intercept form is y = mx +b (where m is slope and b is y intercept).
Here, m= 9 (slope) and b=0 (y intercept)
The school store sells markers for $0.25 each and pencils for 0.50 each.Anthony spent $ 5.50 to buy a total of 16 markers and pencils. How many markers did Anthony buy?
Answer:
The answer to your question is Antony bought 5 pens
Step-by-step explanation:
pens = p = $0.35
pencils = n = $0.15
total amount = 12
total money spent = $2.80
Process
1.- Write equations
p + n = 12 -------------- (l)
0.35p + 0.15n = 2.80 --------------(ll)
2.- Solve the system of equations by elimination
Multiply equation l by - 0.35
- 0.35p - 0.35n = -4.2
0.35p + 0.15 n = 2.8
0 - 0.2n = -1.4
Solve for n
n = -1.4 / -0.2
n = 7 He bought 7 pencils
3.- Find the value of p
p + 7 = 12
p = 12 - 7
p = 5 He bought 5 pens
A manufacturer of tools, selling rechargeable drills to a chain of home improvement stores, charges $4 more per drill than its manufacturing cost, m. The chain then sells each drill for 120% of the price that it paid the manufacturer. Find a function P(m) for the price at the home improvement stores
The price of the rechargeable drill in the home improvement stores is P(m) = 1.2m + 4, where m is the manufacturing total cost.
P(m) = 1.2m + 4
P(m) = 1.2(manufacturing cost) + 4
P(m) = 1.2m + 4
The manufacturer of tools charges $4 more than its manufacturing cost for a rechargeable drill to a chain of home improvement stores. Following that, the chain sells each drill for 120 percent of what it paid the manufacturer.. Therefore, the price of the rechargeable drill in the home improvement stores can be represented by the function P(m), where m is the manufacturing cost of the drill. The equation P(m) = 1.2m + 4 shows that the price of the rechargeable drill in the home improvement stores is equal to 1.2 times the manufacturing cost plus $4. This equation indicates that the manufacturer of tools charges $4 more than its manufacturing cost and the home improvement stores then increase the price of the drill by 20% of the price they paid to the manufacturer. Therefore, the total cost of the rechargeable drill in the home improvement stores is 1.2m + 4, where m is the manufacturing cost of the drill.
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Find a common denominator for the pair of factions.then,write equivalent fractions with the common denominator 8/15 and 1/3
what is a common denominator ?
A.8
B.3
C.15
D.24
Answer:
c. 15
Step-by-step explanation: 15 is divisible by 3
guys please help this is a math question
Answer:
81.5
Step-by-step explanation:
<G and <H are congruent
<F and <I are congruent
so the last two angles in both triangles must also be congruent
this means that <K and <J are congruent
so we can create this equation: <K = <J
substitute the angles with what we know: 4\(y^{2}\) = 6\(y^{2}\) - 40
add 40 to both sides and subtract 4\(y^{2}\) from both sides: 40 = 2\(y^{2}\)
you get: 20 = \(y^{2}\)
root square on both sides: \(\sqrt{20}\) = \(\sqrt{y^{2} }\)
you get: y ≈ 4.5
substitute this into one of the equations for a missing variable:
6\(y^{2}\) -----> 6 (4.5 x 4.5) - 40
6 ( 20.25) - 40
121.5 - 40
81.5
what is s for the following function
Answer:
S = 3
S = 5
S = 7
S = 9
Step-by-step explanation:
t = 3s + 2
when t = 11
11 = 3s + 2
11 – 2 = 3s
9 = 3s
s = 3
t = 3s + 2
when t = 17
17 = 3s + 2
17 – 2 = 3s
15 = 3s
s = 5
t = 3s + 2
when t = 23
23 = 3s + 2
23 – 2 = 3s
21 = 3s
s = 7
t = 3s + 2
when t = 29
29 = 3s + 2
29 – 2 = 3s
27 = 3s
s = 9
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Find the value of 10 to the 4th power.
Answer: 10,000
Step-by-step explanation: 10x10x10x10=10,000.
Answer:
10000
Step-by-step explanation: