Which equation represents the function on the graph?




f(x)=sin14x

f(x)=sin4x

f(x)=cos14x

f(x)=cos4x

The answer is the point (5, -27) and no other solution.

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here: The equation y=-6x+23

Checking for  (5, -27) we get -27=-6×5+23

                                                      =-27

Hence, The answer is the point (5, -27)

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The flour will fit into two of the container is 144 inches.

What is the volume of cuboids?

A cuboid is a six-sided solid known as a hexahedron. Quadrilaterals make up its faces. Cuboid is short for "like a cube". A cuboid is similar to a cube in that a cuboid can become a cube by varying the lengths of the edges or the angles between the faces.

Here, we have

Given: Mrs. Hanson is filling containers in her bakery with flour.

we have to find how much flour will fit into two of the containers.

Volume of cuboid = length × breadth × height

Length = 6 inches

Breadth = 3 inches

Height = 8 inches

The flour will fit into two of the containers = length × breadth × height

= 6 ×3 × 8

= 144 inches

Hence, The flour will fit into two of the container 144 inches.

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Answer:

There are 15 cows and 35 chickens

Step-by-step explanation:

So first you take 20 and multiply it by two since there are two legs on each chicken. You get 40.

Then you subtract 40 from 130. You get 90.

Since the cow has double the legs of the chicken, you can count the cow as two chicken.

You divide 90 by 3. You get 30.

To get the number of chicken you divide 30 by 2 and you get 15.

You add 15 and 20 together and you get 35 chickens.

To get the number of cows you divide 30 by 2 and you get 15.

So you have your answer. 35 chicken and 15 cows.

Answer and Step-by-step explanation:

To find the third side, we can use the Pythagorean Theorem.

The theorem states that if a triangle is a right triangle, and we already have two sides, we are able to find the third side.

The Pythagorean Theorem Formula is the following:

\(A^2+B^2=C^2\)

A is any of the bases

B is the other base (you can make this the height)

C is the hypotenuse (the longest side)

We are given B and C, so lets plug them into our formula and solve for A.

\(A^2 + (4\sqrt{3} )^2=8^2\)

Subtract \((4\sqrt{3} )^2\) from both sides of the equation.

\(A^2=8^2 - (4\sqrt{3} )^2\)

Now take the square root of both sides of the equation.

\(A=\sqrt{8^2 - (4\sqrt{3} )^2}\)

Now plug this into your calculator and solve.

We get the answer to be:

4

#teamtrees #PAW (Plant And Water)

I hope this helps!

________

\( \: \)

a² = c² - b²

a² = 8² - (4√3)²

a² = 64 - 48

a² = 16

a = √16

a = 4

1)

Volume of sphere is 113.1 ft³.

Given radius of sphere 3 ft.

Volume of sphere is 4/3× π ×r³

Substitute the value of radius in the formula of Volume of Sphere,

Volume of Sphere= 4/3×π×r³

                             = 4/3×22/7×3³

                             = 4/3×22/7×27

                             = 113.1 ft³

Hence the given sphere has volume of 113.1 ft³ rounded to the nearest tenth.

2)

Volume of cone is 94.3 yd³

Given diameter of base of cone and height of cone.

Diameter of base = 6 yd

Radius = diameter/2

Radius= 3 yd

Height of cone = 10 yd

Volume of cone = 1/3×π×r²×h

r = radius of base of cone

h = height of cone

Substitute the values of radius and height in the formula,

Volume of cone = 1/3×π×r²×h

                          = 1/3×22/7×3³×10

                          = 660/7

                          = 94.3 yd³

Hence volume of cone rounded to the nearest tenth is 94.3 yd³.

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The error made in solving the equation is in the step where ln(4x) is incorrectly rewritten as e ln⁴x. This step is not valid and leads to an incorrect solution.

To find the correct solution, let's start from the equation ln(4x) = 5:

So, the correct solution to the equation ln(4x) = 5 is x = e^5/4.

In concluding remraks , the error made in solving the equation ln(4x) = 5 was incorrectly applying exponential operations. The correct solution is x = e^(5/4).

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Answer:

I think it would be 4. When x=0 y should equal 4

Step-by-step explanation:

Every 8 x intercept points is 20 y intercept points, so minus 16 from the left is 0 and minus 40 from the right is 4

The fifth term in the sequence is 3

What is a sequence?

Mathematical sequences are lists of elements, usually integers, where the order of the elements is important. Here, the components all fit into a precise pattern. In everyday life, sequences appear frequently. Sequences include, for instance, a row of house numbers, a pay increase each year (by a defined dollar amount or percentage), a book's page numbers, etc.

\(a_{n} = 4 + ( -1 )^n\)

Substitute n=5

\(a_{5} = 4 + ( -1 )^5\)

   =  4 + (-1)

   = 4 - 1

  = 3

So, the  fifth term in the sequence is 3

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The value of angle S is 53°

Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.

With this theorem we can say that

7x+2 = 4x+13+19

collecting like terms

7x -4x = 13+19-2

3x = 30

divide both sides by 3

x = 30/3

x = 10

Since x = 10

angle S = 4x+13

angle S = 4(10) +13

= 40+13

= 53°

Therefore the measure of angle S is 53°

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In the context of the geometric interpretation, the solution vector X = [1/3; 0] represents the coordinates of the point of intersection between the two planes defined by the given equations.

To determine the solution vector of the equation system:

x₁ + x₂ + x₃ = 1

2x₁ + x₂ - x₃ = 2

We can write the system in matrix form as AX = B, where:

A = [1 1 1; 2 1 -1]

X = [x₁; x₂; x₃]

B = [1; 2]

To find the solution vector X, we can use matrix methods. We can start by finding the inverse of matrix A. If the inverse exists, we can solve for X using the equation X = A⁻¹B.

Calculating the inverse of A:

A = [1 1 1; 2 1 -1]

The inverse of A, denoted as A⁻¹, can be found as:

A⁻¹ = (1/det(A)) * adj(A), where det(A) is the determinant of A and adj(A) is the adjugate of A.

Calculating det(A):

det(A) = (1*1*-1) - (1*-1*2) = -3

Calculating the adjugate of A:

adj(A) = [1 -1; -2 1]

Calculating A⁻¹:

A⁻¹ = (1/(-3)) * [1 -1; -2 1]

    = [-1/3 1/3; 2/3 -1/3]

Now, we can solve for X using X = A⁻¹B:

X = [-1/3 1/3; 2/3 -1/3] * [1; 2]

 = [(-1/3)(1) + (1/3)(2); (2/3)(1) + (-1/3)(2)]

 = [-1/3 + 2/3; 2/3 - 2/3]

 = [1/3; 0]

Therefore, the solution vector of the equation system is X = [1/3; 0].

Geometric interpretation:

In this case, the equation system represents a system of linear equations with three variables x₁, x₂, and x₃. Each equation represents a plane in three-dimensional space.

The solution vector X = [1/3; 0] represents the point of intersection between the two planes defined by the equations. Geometrically, it represents the common solution to both equations, which is the point where the two planes intersect.

So, in the context of the geometric interpretation, the solution vector X = [1/3; 0] represents the coordinates of the point of intersection between the two planes defined by the given equations.

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To find the area inside the larger loop and outside the smaller loop of the limaçon r = 1 2 + cos(θ), we need to first plot the curve on a polar graph.

From the graph, we can see that the curve has two loops - one larger loop and one smaller loop. The larger loop encloses the smaller loop.

To find the area inside the larger loop and outside the smaller loop, we can use the formula:

Area = 1/2 ∫[a,b] (r2 - r1)2 dθ

where r2 is the equation of the outer curve (larger loop) and r1 is the equation of the inner curve (smaller loop).

The limits of integration a and b can be found by setting the angle θ such that the curve intersects itself at the x-axis. From the graph, we can see that this occurs at θ = π/2 and θ = 3π/2.

Plugging in the equations for r1 and r2, we get:

r1 = 1/2 + cos(θ)
r2 = 1/2 - cos(θ)

So the area inside the larger loop and outside the smaller loop is:

Area = 1/2 ∫[π/2, 3π/2] ((1/2 - cos(θ))2 - (1/2 + cos(θ))2) dθ

Simplifying and evaluating the integral, we get:

Area = 3π/2 - 3/2 ≈ 1.07

Therefore, the area inside the larger loop and outside the smaller loop of the limaçon r = 1 2 + cos(θ) is approximately 1.07. Note that this area is smaller than the total area enclosed by the curve, since it excludes the area inside the smaller loop.
To find the area inside the larger loop and outside the smaller loop of the limaçon given by the polar equation r = 1 + 2cos(θ), follow these steps:

1. Find the points where the loops intersect by setting r = 0:
1 + 2cos(θ) = 0
2cos(θ) = -1
cos(θ) = -1/2
θ = 2π/3, 4π/3

2. Integrate the area inside the larger loop:
Larger loop area = 1/2 * ∫[r^2 dθ] from 0 to 2π
Larger loop area = 1/2 * ∫[(1 + 2cos(θ))^2 dθ] from 0 to 2π

3. Integrate the area inside the smaller loop:
Smaller loop area = 1/2 * ∫[r^2 dθ] from 2π/3 to 4π/3
Smaller loop area = 1/2 * ∫[(1 + 2cos(θ))^2 dθ] from 2π/3 to 4π/3

4. Subtract the smaller loop area from the larger loop area:
Desired area = Larger loop area - Smaller loop area

After evaluating the integrals and performing the subtraction, you will find the area inside the larger loop and outside the smaller loop of the given limaçon.

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Answer: 5

Step-by-step explanation: f(3) = 2x - 1

substitute the x with 3. 2(3)-1

6-1

5

Answer:

The answer is 5, hope you like!

Answer:

21x+1=37

21x+1-1=37-1

21x=36

x=36/21

x=9/7

Answer:

X1=2 X2=-32/21

Step-by-step explanation:

21x-5=37

21x-5=-37

21x=37+5

21x=42

x=2

21x=-37+5

21x=-32

x=-32/21

The statements that are true include the following:

B. Both graphs are exponential function.

C. Both graphs have exactly one asymptote.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x) = a(b)^x\)

Where:

In Mathematics and Geometry, a horizontal asymptote is a horizontal line (y = b) where the graph of a function approaches the line as the input values (domain or independent value) approach negative infinity (-∞) to positive infinity (∞).

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The phase constant for the harmonic oscillator with the velocity function v(t), if the position function has the form x(t) = x_m cos(ωt + φ)  is: -0.927 rad

We are told that the vertical scale is set as: v_s = 4.0 cm/s

Using the formula of velocity, we can find the phase constant for the harmonic oscillator from the position function of form,

x(t) = x_m cos(ωt + φ)

The velocity of a body in motion is expressed as:

v = dx/dt  -----(i)

Equation of displacement of the motion:

x(t) = x_m cos(ωt + φ)    -----(ii)

Differentiating equation (ii), we get:

v = -v_m sin (ωt + φ)    -----(iii)

Using the values of t = 0 s, v_m = 5 cm/s, v = 4 cm/s in equation (iii), we get:

4 = -5 sin  (ω(0) + φ)  

φ = sin⁻¹(4/5)

φ = -0.927 rad

Therefore, the phase constant for the harmonic oscillator with the velocity function v(t), if the position function has the form x(t) = x_m cos(ωt + φ)  is -0.927 rad

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Complete question is:

What is the phase constant for the harmonic oscillator with the position function x(t) given in the plot if the position function has the form x = x_m cos(ωt + φ). The vertical axis scale is set as v_s = 4.0 cm/s

Find out the slope

m=(11+1)/(-12+3)

m=12/-9

simplify

m=-4/3

therefore

Answer: 1. 9:342 Rate: 38 cans per bag

2. 38:152 Rate: 4 tickets per person

3. 2:40 Rate: 20 commercials per hour

No, if the game in Steam is more than 20 dollars and you have a Steam gift card of 20 dollars, it will not work.

Steam gift cards can be used to purchase games, software, and other items on the Steam store. However, the value of the gift card must be sufficient to cover the entire purchase price, including any taxes and fees. If the price of the game is more than the value of the gift card, you will need to add additional funds to your Steam Wallet to complete the purchase. Steam Wallet can be topped up using various payment methods, such as credit/debit cards, payment apps, and more.

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\(\huge\fbox{Hi~there!~:)}\)

Let's solve this inequality! :)

Let's start by subtracting 10 from both sides:

\(\rm{8x\leq 51-10}\)

\(\rm{8x\leq 41\)

Now, divide both sides by 8:

\(x\leq \displaystyle\frac{41}{8}\) (Answer)

Decimal form:

\(\rm{5.125}\)

I hope you find it helpful.

Feel free to ask if you have any doubts.

\(\bf{-MistySparkles^**^*\) here to help

Answer:

y = -31.26

Step-by-step explanation:

- 0.5y - 3.25 = 12.38

add 3.25 to both sides:

- 0.5y - 3.25 + 3.25 = 12.38 + 3.25

- 0.5y = 15.63

divide both sides by -0.5:

-0.5y/- 0.5 = 15.63/- 0.5

y = -31.26

the correct answer is option D) \(x \neq 1, 3\).

To determine the domain of the function \(f(x) = (x - 1)^2(x - 3)^{\frac{1}{3}}\), we need to identify any values of \(x\) that would make the function undefined.

In this case, there are two potential issues to consider:

1. The expression \((x - 1)^2\) is defined for all real values of \(x\). There are no restrictions or values that would make it undefined.

2. The expression \((x - 3)^{\frac{1}{3}}\) represents the cube root of \((x - 3)\). For the cube root to be defined, the value inside the root \((x - 3)\) must be non-negative. This means that \(x - 3 \geq 0\). Solving this inequality, we find that \(x \geq 3\).

Combining these results, we can conclude that the domain of the function \(f(x)\) is all real numbers greater than or equal to 3, written as \(x \geq 3\).

Now, let's examine the answer choices to determine which one matches this description:

A) \(x \neq 1\), and \(f(0) = \frac{3}{1}\) - This answer choice includes \(x \neq 1\), which is correct, but it does not mention the restriction \(x \geq 3\) for the cube root term. Additionally, the given value of \(f(0)\) does not align with the function \(f(x)\). Therefore, option A) is incorrect.

B) \(x \neq -1, -3\), and \(f(2) = 1\) - This answer choice includes the correct restrictions \(x \neq -1, -3\), but it does not consider the \(x \geq 3\) constraint. Therefore, option B) is incorrect.

C) \(x = 1, 3\) - This option only includes the values \(x = 1\) and \(x = 3\), but the domain of the function is not restricted to just these values. Therefore, option C) is incorrect.

D) \(x \neq 1, 3\) - This option includes the correct restrictions \(x \neq 1, 3\) and encompasses the domain of the function \(f(x)\) defined as \(x \geq 3\). Therefore, option D) is correct.

E) None of these - This option is incorrect since option D) correctly represents the domain of the function \(f(x)\).

In conclusion, the correct answer is option D) \(x \neq 1, 3\).

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Answer:

3150 wpm

Step-by-step explanation:

70/1=x/45

x=70*45 x=3150

Hope this helps plz hit the crown :D

Answer:

Helen can type 3150 words in 45 minutes.

Step-by-step explanation:

70 words Multiplied by 45 minutes

70×45=3150

Hope it helps!

Step-by-step explanation:

A protractor is a handheld to use in measuring angles. It is most cases made up of plastic or glass materials, and can accurately measure angles of circles up to 180°.

However, when measuring straight lengths, a ruler or tape has better measuring accuracy than the protector.

Answer:

20

Step-by-step explanation:

1 hour = 60 minutes

1200 riders = 60 minutes: divide by sixty to set equal to 1

20 riders = 1 minute

Just divide 1,200 by 60 because there are 60 minutes in 1 hour.

Just think about it this way: If you eat 1 banana a minute, you eat 60 bananas an hour. The amusement park ride goes around once a minute. In one hour it goes around 60 times. Each time it carries the same amount of people.

1,200 divided by 60 is...

20!

The ride can carry 20 riders each ride, and each ride lasts a minute.

Answer:

x=12

Step-by-step explanation:

turn into and equation because angles in a triangle add up to 180°

so

6x-19+3x+7+84=180

collect like terms

9x+72=180

solve to find 'x'

9x=108

x=12

Answer:

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\( \large{ \tt{ \green❊ \pink { \: S \: O \: L \: U \: T \: I \: O \: N} \green { \: ❊}}}\)

\( \large {\tt{✢ \: SP = MP - dis\% \: of \: MP}}\)

\( \large{ \tt{⟶ \: 1760 = MP - 12\% \: of \: mp}}\)

\( \large{ \tt{⟶ \: 1760 = MP - \frac{12}{100} \: mp }}\)

\( \large{ \tt{⟶ \: 1760 = \frac{100 \: MP - 12 \: mp}{100} }}\)

\( \large{ \tt{⟶ \: 88 \: MP = 176000}}\)

\( \large{ \tt{⟶ \: MP= \frac{176000}{88} }}\)

\( \large{ \tt{⟶ \: MP = Rs \: 2000}}\)

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The student covers a total distance of 22.05 kilometers in a week's time, walking between the park and the house each day.

To find the total distance covered by the student in a week's time, we need to calculate the distance covered in one round trip (from the house to the park and back) and then multiply it by the number of round trips in a week.

Given that the difference between the park and house is 1 kilometer and 575 meters, we can convert it to a total distance of 1.575 kilometers.

In a round trip, the student covers twice the distance between the park and the house, which is 1.575 kilometers * 2 = 3.15 kilometers.

Now, we need to determine how many round trips the student makes in a week. Let's assume the student makes one round trip each day.

Since there are 7 days in a week, the total distance covered by the student in a week's time is 3.15 kilometers * 7 = 22.05 kilometers.

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