What equation is equal to 2y= 2x + 2?

Answer:

Step-by-step explanation:

From the given circle graph, it can be observed that the "strawberry" wedge is approximately one-fourth (or 25%) of the entire circle.

Therefore, approximately 25% of the class voted for strawberry ice cream.

So, the closest option is A) 30%, but the more precise answer will be 25%.

1. <C= 90 degree

AC =  13.25 unit

<B= 60 degree

2.  <C= 90 degree

AC =  13.

<B= 60 degree

1. Using Sine law

sin C/4 = sin 30/2 = sin B/ AC

so, sin C/4 = 1/4

sin C = 1

C= 90 degree

and, <B= 180 - 30- 90= 60 degree

So, sin 30/2 = sin 60/ AC

1/4 AC = √3/2

AC = 2√3

2. Using Sine law

sin 30/ 7.65 = sin B / 15.3

1/15.3 = sin B/15.3

sin B= 1

B = 90 degree

and, <C= 180 - 90 - 30 = 60

So, 1/15.3 = sin 60/ C

C = 13.25

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Answer:

it would be 90 because it has o be a 5 to  9 to round up but is a 1so you can round up

Step-by-step explanation:

The most reasonable temperature for a snowy day is given as follows:

C. -6°C

Considering that it snows, the temperature is either negative or very low positive, as snow only happens on temperatures close to freezing (like 2º C) or negative.

17ºC and 26ºC are far from cold enough to generate snow, hence the most reasonable temperature for a snowy day is given as follows:

C. -6°C

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Step-by-step explanation:

The transformation y = sin(2x) affects the graph of y = sin(x) by compressing it horizontally.

The function y = sin(2x) has a coefficient of 2 in front of the x variable. This means that for every x value in the original function, the transformed function will have half the x value.

To see the effect of this transformation, let's compare the graphs of y = sin(x) and y = sin(2x) by plotting some points:

For y = sin(x):

x = 0, y = 0

x = π/2, y = 1

x = π, y = 0

x = 3π/2, y = -1

x = 2π, y = 0

For y = sin(2x):

x = 0, y = 0

x = π/2, y = 0

x = π, y = 0

x = 3π/2, y = 0

x = 2π, y = 0

As you can see, the y-values of the transformed function remain the same as the original function at every x-value, while the x-values of the transformed function are compressed by a factor of 2. This means that the graph of y = sin(2x) appears narrower or more "squeezed" horizontally compared to y = sin(x).

Therefore, the correct statement is: It is compressed horizontally.

Answer:

Ruth is 36 years old

Step-by-step explanation:

let Colin's age be x , then

Dave's age is x + 4

Ruth's age is 3(x + 4) = 3x + 12

sum their ages and equate to 56

x + x + 4 + 3x + 12 = 56

5x + 16 = 56 ( subtract 16 from both sides )

5x = 40 ( divide both sides by 5 )

x = 8

Then

Ruth's age = 3x + 12 = 3(8) + 12 = 24 + 12 = 36

The age of Ruth is 36 years while Dave is 12 years old and Colin is 8 years old.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Using variables to represent the ages of Colin and Dave:

C = Colin's age

D = Dave's age

From the given statement,

D = C + 4 (Dave is 4 years older than Colin)

We know that Ruth's age is three times Dave's age:

R = 3D (Ruth is three times as old as Dave)

Now, the sum of their ages is 56:

C + D + R = 56

Substituting the expressions for D and R in terms of C, we get:

C + (C + 4) + 3(C + 4) = 56

Simplifying and solving for C:

5C + 16 = 56

5C = 40

C = 8

So Colin is 8 years old. Using the expression for Dave's age in terms of C, we get:

D = C + 4 = 8 + 4 = 12

So, Dave is 12 years old.

Ruth's age in terms of D:

R = 3D = 3(12) = 36

Therefore, Ruth is 36 years old.

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Answer:

An even number

Step-by-step explanation:

Integers which are multiples of 2, are even numbers.

Integers which aren't multiples of 2, are odd numbers.

As integers can be positive and negative both, odd and even numbers also can be positive and negative.

The error E = ± 4.04 %

Sample data = ( p ).

success p = success percentage = 40 %

confidence interval CI = 98%

sample size n = 800

margin of error E:

The margin of error "E" for estimation of population proportion ( p ) is given by:

E = z - critical √(p(1-p)/n)

P ( Z < Z-critical ) = a/

a = 1 - CI

P ( Z < Z-critical ) = (1 - 0.98) / 2

P ( Z < Z-critical ) = 0.01

Z-critical = 2.33

The error E = ± 4.04 %

Thus, the correct answer is E=± 4.04 %

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The rate at which the infected population is growing after 8 days of the outbreak is approximately 1096.57 people per day, as determined by the derivative of the given function with respect to time.

To find the rate at which the infected population is growing after 8 days, we need to take the derivative of the given function I(t) with respect to t:

\(dI/dt = 3900(0.0514)e^(0.0514t)\)

At t=8, the rate at which the infected population is growing is:

\(dI/dt = 3900(0.0514)e^(0.0514*8) = 1096.57\)

Therefore, the rate at which the infected population is growing after 8 days is approximately 1096.57 people per day.

It is important to note that this rate of growth is an instantaneous rate at t=8, and it will likely change as time passes and the outbreak progresses. Furthermore, the rate of growth of the infected population depends on various factors such as the transmission rate of the virus, the effectiveness of preventive measures, and the availability of healthcare resources.

In conclusion, the rate at which the infected population is growing after 8 days of the outbreak is approximately 1096.57 people per day, as determined by the derivative of the given function with respect to time. This result provides insight into the early stages of a flu outbreak, but further analysis is required to understand the longer-term dynamics of the outbreak and the factors that affect the spread of the disease.

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The integration of the function; ∫In( 1 + 4sin⁴x) dx between the boundaries π/2 and 0 is; 0.0966

We want to carry out the integration of the function;

∫In( 1 + 4sin⁴x) dx

We want to integrate this between the boundaries π/2 and 0.

Thus;

∫In( 1 + 4sin⁴x) dx = [In (sin (4x)) - 8 sin(2x) + 44x)]/32

Now, between the given boundaries, we have;

[In (sin (4π/2)) - 8 sin(2*π/2) + 44*π/2)]/32 - [In (sin (4*0)) - 8 sin(2*0) + 44*0)]/32

= [In (sin (2π)) - 8 sin(π/) + 22π)]/32

= [In(22)]/32 = 0.0966

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As a result, 68% of the data falls into the range of values between -1 and 1, which is one standard deviation from the mean. The closest estimate of the solution is 68%.

A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.

For a normally distributed data set with a mean of 0 and a standard deviation of 0.5, the proportion of values between -1 and 1 is most closely related to 68%.

Approximately 68% of the data in a normal distribution lies within one standard deviation of the mean, which explains why. One standard deviation below the mean is -0.5, and one standard deviation above the mean is 0.5 since the mean is 0 and the standard deviation is 0.5. As a result, 68% of the data falls into the range of values between -1 and 1, which is one standard deviation from the mean. The closest estimate of the solution is 68%.

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Answer:

80

Step-by-step explanation:

We can start of with Junior's age. Then if dad is twice as old as Junior, then we add 2 parts and get 3 parts. Then Gramps is twice as old as Dad so we add 4 parts and get 7 parts. Now we divided 140 by 7. We get 20. This is Junior's age. By looking at that, we know Dad is 40, and Gramps is 80.

Gramps is 80 years old.

Hi! I'm happy to help!

We can say that Junior is x years old. This would mean that Dad is 2x years old, and Gramps is 4x years old. All together, their age is 7x. We can write an equation to solve.

7x=140

Divide both sides by 7 to find out x.

x=20

This means that Junior is 20 years old. Dad is double that, so he is 40 years old. And Gramps is double that so he is 80 years old.

To check our answer we can add all of them together.

20+40+80

140

This means that Gramps is 80 years old.

I hope this was helpful, keep learning! :D

Answer:

Toby rode his bike further.  He rode 74 miles further than Wendy.  

Step-by-step explanation:

7 miles per day for 26 weeks is, 7 times 7 times 26, which is a total of  1274 miles.  200 miles each month for 6 months is 6 times 200, which equals 1,200 miles.  Toby rode more miles.

An equation that could be the equation of this parabola include the following: C. x = 1/12(y²).

In Mathematics, the standard equation of the directrix lines for any parabola that opens to the right is represented by this mathematical expression:

x = a(y - k)² + h.

Where:

By critically observing the graph which models the equation of this parabola, we can logically deduce that the vertex is at point (0, 0) and as such, we have the following:

h = 0

k = 0

a = positive.

x = a(y - k)² + h.

x = a(y - 0)² + 0.

x = ay²

Therefore, a possible equation is x = 1/12(y²).

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Answer: 6.25

Step-by-step explanation: Here, you want to find how much of 6,298 pounds of food each person got. You can do this by dividing. 6,298/1,007 should get you the answer because it shows how the 6,298 pounds were distributed amongst the 1,007 people.

An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.

An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.

This function is one-to-one because for every element x in P, there is a unique element 2x in Q. It is onto because every element y in Q has a preimage x in P such that f(x) = y (e.g., y/2 = x).

Furthermore, this function preserves the group structure between P and Q, as it satisfies the properties of an isomorphism. In this case, the group structure is addition, and the function f preserves addition: f(x + y) = 2(x + y) = 2x + 2y = f(x) + f(y) for all x, y in P.

Therefore, the function f: P -> Q defined as f(x) = 2x is an example of a one-to-one function that is an isomorphism between sets P and Q.

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Joel, this is the solution:

3x + 3y = -3

-2x + y = 2​

____________

Step 1: Isolating x on the 1st equation:

3x + 3y = -3

3x = - 3 - 3y

Dividing by 3 at both sides:

3x/3 = -3/3 - 3y/3

x = -1 - y

Step 2: Substituting x on the 2nd equation and solving for y:

-2x + y = 2​

-2(-1 - y) + y = 2

2 + 2y + y = 2

3y = 2 - 2

3y = 0

y = 0

Step 3: Substituting y on the 1st equation and solving for x:

3x + 3y = -3

3x + 3 * 0 = -3

3x + 0 = -3

Dividing by 3 at both sides:

3x/3 = -3/3

x = -1

Now, Joel, we can select the correct choice:

A. (-1, 0)

Answer:

letter R rounded off to the nearest tenth is 40

15 is the answer because this is the nearest

The parametric equations for the curve are X = 4 sin(5t), Y = -48 sin²(5t) + 8 sin(5t) + 45

A parametric equation is a set of equations that express the coordinates of a point as functions of one or more parameters. These equations define a curve or a surface in a space and are commonly used in mathematics, physics, engineering, and computer graphics to model and analyze various phenomena.

Parametric equations can be useful in many applications, such as modeling the motion of particles, designing curves and surfaces, and creating computer animations. They also allow for the visualization of complex shapes and curves that may be difficult to describe using traditional equations.

To find the parametric equation of the given curve, we need to express the coordinates x and y in terms of a parameter t. We can use the trigonometric identities to simplify the given equations and get:

X = 4 sin(5t)

Y = -48 sin²(5t) + 8 sin(5t) - 3

Let's start with Y. We can use the identity sin²(θ) + cos²(θ) = 1 to rewrite -48 sin²(5t) as -48 (1 - cos²(5t)) = -48 cos²(5t) + 48. Substituting this into the equation for Y, we get:

Y = -48 cos²(5t) + 8 sin(5t) - 3

Now, we can use another trigonometric identity, sin²(θ) + cos²(θ) = 1, to rewrite cos²(5t) as 1 - sin²(5t). Substituting this into the equation for Y, we get:

Y = -48 (1 - sin²(5t)) + 8 sin(5t) - 3

Y = -48 sin²(5t) + 8 sin(5t) + 45

So, the parametric equations for the curve are:

X = 4 sin(5t)

Y = -48 sin²(5t) + 8 sin(5t) + 45

This is the final answer.

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The slope of the line is C) \(\frac{6}{5}\).

What is slope?

Calculated using the slope of a line formula, the ratio of "vertical change" to "horizontal change" between two different locations on a line is determined. The difference between the line's y and x coordinate changes is known as the slope of the line. Any two distinct places along the line can be used to determine the slope of any line.

Here the given point is \((x_1,y_1)=(-5,-1)\) and \((x_2,y_2)=(5,11)\)

Now using slope formula then,

=> Slope m = \(\frac{y_2-y_1}{x_2-x_1}\)

=> Slope m = \(\frac{11-(-1)}{5-(-5)}\)

=> slope m = \(\frac{11+1}{5+5}\)

=> slope m = \(\frac{12}{10}\)

=> slope m = \(\frac{6}{5}\)

Hence the slope of the line is C) \(\frac{6}{5}\).

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The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

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To transform f(x) into g(x) we need to use addition, subtraction and multiplication.

Given f(x)=\(x^{2}\) and g(x)=\(x/3+3(x^{2} -3)\)

We need to transform function f(x)into g(x).

A function refers to a relation which expresses relationship between two variables. It contains one value for each value of x. If there are more than one value for one value of x then it is not said to be a function.

f(x)=\(x^{2}\), g(x)=\(x/3+3(x^{2} -3)\)

To transform f(x) into g(x)  we need to follow the following steps:

Hence we have to use addition, subtraction and multiplication for transformation.

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The graph of g(x) is wider than f(x) and is shifted to the left 4 units and down 3 units.

Step-by-step explanation:

it is 4 3 2 1 5 6 4 3 3. 6 5 3 3 5 5 3 4 5 4

Answer:

\( - \sqrt{ \frac{2}{3} } \)

Answer:

21

Step-by-step explanation:

i hope this helps :)

Answer:

.where is the explanation?

Answer:

134.56

Step-by-step explanation:

I believe the sale price for the chair would be 134.56 hope this helps

Answer:

$ 134.56

Step-by-step explanation:

Regular price = $175 .90

Reduction = 10% of 175.90

                 = 17.59

Price after reduction = 175.90 - 17.59 = $ 158.31

Second reduction = 15% of 158.31

                             = 0.15 * 158.31

                             = 23.7465

                             = $ 23.75

New price = 158.31 - 23.75

                  = $ 134.56

Answer:

-25x-45y, because if we have got + and -, so we will write minus.

Hey there! I'm happy to help!

We have the sum of x and 3.

x+3

One-sixth of that.

1/6(x+3)

Minus the product of 9 and p

1/6(x+3)-9p

Have a wonderful day! :D

Answer:

A. 4/3

3/4 *16/9 =

(3*16)/ (4*9) =

48/36 =

12*4/12*3 =

4/3