Anna ate 58of an orange and gave the other 38 to her brother. which equation can be used to find the difference between the amount anna ate and the amount she gave her brother?

Answer:

d. Missing x:2 Missing y:5

Step-by-step explanation:

To determine the missing data values, we need to first determine the equation of the linear function that represents the given data. We can use the two given data points (x=0, y=3) and (x=-1, y=2) to find the slope of the function:

slope = (y2 - y1) / (x2 - x1) = (2 - 3) / (-1 - 0) = -1

Next, we can use the point-slope form of a linear equation to find the y-intercept of the function:

y - y1 = m(x - x1)

y - 3 = -1(x - 0)

y - 3 = -x

y = -x + 3

Using this equation, we can determine the missing data values:

When x=4, y = -4 + 3 = -1.

When x=2, y = -2 + 3 = 1.

Therefore, the correct option is:

d. Missing x:2 Missing y:5

In this case, we'll have to carry out several steps to find the solution.

We must analyze the graph to find the solution.

Step 01:

The domain is reflected on the x-axis and the range is reflected on the y-axis

domain: (-oo , oo)

range: (-3 , oo)

Step 02:

relative minimum:

1. (- 2.5 , -1) = ( -5/2 , -1)

2. ( 3 , -3 )

relative maximum

1. ( 0, 5)

That is the full solution.

The cosine of 45 degrees is √2 / 2.

In a 45-45-90 triangle, the two legs are congruent and the hypotenuse is √2 times the length of each leg. The angles of a 45-45-90 triangle are 45 degrees, 45 degrees, and 90 degrees.

To find the cosine of 45 degrees, we can use the definition of cosine in a right triangle, which is defined as the ratio of the adjacent side to the hypotenuse. In a 45-45-90 triangle, the adjacent side and the hypotenuse are the same length.

Since the side lengths of a 45-45-90 triangle are in the ratio 1:1:√2, let's assume the length of one leg is x. Then, the length of the other leg is also x, and the length of the hypotenuse is √2x.

Now, let's consider the cosine of 45 degrees:

cos(45 degrees) = adjacent side / hypotenuse

= x / √2x

= 1 / √2

To simplify the expression, we can multiply both the numerator and the denominator by √2:

cos(45 degrees) = (1 / √2) * (√2 / √2)

= √2 / 2

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Answer:

40 units^2

Step-by-step explanation:

Therefore, $22.95 would be the best estimate for the cost of a vehicle to drive through the safari in 2011.

The estimated cost of a vehicle to drive through the safari in 2011, we need to substitute the value of x (number of years since it opened in 2005) as 6 into the regression equation y = 3.648 * 1.182x.

Plugging in x = 6, the equation becomes: y = 3.648 * 1.182 * 6

Calculating the expression: y = 25.849536

Rounding to two decimal places, the estimated cost is approximately $25.85.

Among the given options, the closest value to $25.85 is $22.95 (Option B). Therefore, $22.95 would be the best estimate for the cost of a vehicle to drive through the safari in 2011.

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Answer:

Hey there!

3x-9=12

3x=21

x=7

Let me know if this helps :)

Answer:

Step-by-step explanation:

\(3x - 9 = 12 \\ collect \: like \: terms \\ 3x = 12 + 9 \\ 3x = 21 \\ divide \: both \: sides \: by \: 3\)

\( \frac{3x}{3} = \frac{21}{7} \\ x = 7\)

Answer:

y=2.50+3.25x,

Step-by-step explanation:

because

So our equation can be y = $2.50 + $3.25x where y is total cost and x is games played.

The equation is be a function as you cannot play 3 games and get more than one price, etc.

I am pretty sure x (the domain) is "all real numbers" but am unsure what the range is [I am just now learning this too] as I think, depending on the amount of games played, it could go on for a long time  (sorry about this fdafdasfda)

(with the extra info you gave \/)

Yeaaa so the domain is all integers over and equal to 1.

(still not 100% sure on the range and I don't want to tell you the wrong thing)

The equation is discrete as we can count the amount of games played and the price.

I know I am missing a piece, but hopefully this helps a bit. Good luck and have a nice day :D

Answer:

The x values are the same, so leave these be. They do not need to be factored. We need to find a way to factor y^4 and y^2

To do this, just factor using the formula for the difference between two squares

\(a^2-b^2 = (a+b)(a-b)\\\)

Substitute. A = y, b = 1

\(y^2(y+1)(y-1)\)

Since x^3 is the same, insert this before y^2

\(x^3y^2(y+1)(y-1)\\\)

This is the factored form.

Step-by-step explanation:

Answer: 4/1

Step-by-step explanation: You go on the y-axis up to 6 then you count up until you get to 10 then you go over 1 so the equation would be 4/1

Step-by-step explanation:

General equation for horizontal line: y = a

Since the point (5, 3) has y-value 3,

the equation of the horizontal line is y = 3.

Answer:

11over32

Step-by-step explanation:

Let x be the volume of the 14% HCl solution and y the volume of the 19% HCl solution, in mililiters.

Since the total volume (in mililiters) of the mix should be 330, then:

The total amount of HCl on the first mix is (14/100), on the second mix is (19/100)y and on the final mix, is (17/100)(330). Then:

Isolate x from the first equation and substitute the resulting expression into the second one. Then, solve for y and go back to the first equation with the value of y to find the value of x:

Therefore, 132 ml of 14% HCl solution and 198 ml of 19% HCl solution are needed to create 330 ml of 17% HCl solution.

Answer:

its the second one

Step-by-step explanation:

its the second one because the statement RWS=TUV shows which angles are congruent in order meaning that ang r and t are congruent angle w and u are congruent and angle v and s are congruent. so t and s are not congruent

B.T S is the answer to the question you asked

To show that angles are equal to each other using properties of equality, you can apply the following properties: Reflexive Property, Symmetric Property, Transitive Property, Substitution Property.

1. Reflexive Property: An angle is equal to itself. For example, ∠ABC = ∠ABC.

2. Symmetric Property: If ∠ABC = ∠DEF, then ∠DEF = ∠ABC. The order of the angles can be switched without changing their equality.

3. Transitive Property: If ∠ABC = ∠DEF and ∠DEF = ∠XYZ, then ∠ABC = ∠XYZ. If two angles are equal to a common angle, then they are equal to each other.

4. Substitution Property: If ∠ABC = ∠DEF and ∠DEF = ∠XYZ, then ∠ABC = ∠XYZ. You can substitute equal angles into other equations or properties.

By using these properties, you can establish the equality of angles by showing the necessary relationships between them.

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Answer:

324, 900, 9

Step-by-step explanation:

When a shape has its size increased by a scale factor, the size of its lengths are multiplied by this scale factor, yet its area is actually multiplied by the scale factor squared. This is due to two lengths being multiplied to contribute to the area, not just one. If it was a volume, you would multiply by the scale factor cubed!

Onto the answer, just follow the advice above:

36 * 3^2 = 36 * 9 = 324 square inches,

36 * 5^2 = 36 * 25 = 900 square inches,

36 * 0.5^2 = 36 * 0.25 = 9 square inches.

The answer is ,  the Taylor series (centered at c=0) for the function f(x) = e^(4x) is given by:

\($$\large f(x) = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n$$\)

The Taylor series expansion is a way to represent a function as an infinite sum of terms that depend on the function's derivatives.

The Taylor series of a function f(x) centered at c is given by the formula:

\(\large f(x) = \sum_{n=0}^{\infty} \frac{f^{(n)}(c)}{n!}(x-c)^n\)

Using the definition of Taylor series to find the Taylor series (centered at c=0) for the function f(x) = e^(4x), we have:

\(\large e^{4x} = \sum_{n=0}^{\infty} \frac{e^{4(0)}}{n!}(x-0)^n\)

\(\large e^{4x} = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n\)

Therefore, the Taylor series (centered at c=0) for the function f(x) = e^(4x) is given by:

\($$\large f(x) = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n$$\)

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The Taylor series for f(x) = e^(4x) centered at c = 0 is:

f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...

To find the Taylor series for the function f(x) = e^(4x) centered at c = 0, we can use the definition of the Taylor series. The general formula for the Taylor series expansion of a function f(x) centered at c is given by:

f(x) = f(c) + f'(c)(x - c) + f''(c)(x - c)^2/2! + f'''(c)(x - c)^3/3! + ...

First, let's find the derivatives of f(x) = e^(4x):

f'(x) = d/dx(e^(4x)) = 4e^(4x)

f''(x) = d^2/dx^2(e^(4x)) = 16e^(4x)

f'''(x) = d^3/dx^3(e^(4x)) = 64e^(4x)

Now, let's evaluate these derivatives at x = c = 0:

f(0) = e^(4*0) = e^0 = 1

f'(0) = 4e^(4*0) = 4e^0 = 4

f''(0) = 16e^(4*0) = 16e^0 = 16

f'''(0) = 64e^(4*0) = 64e^0 = 64

Now we can write the Taylor series expansion:

f(x) = f(0) + f'(0)(x - 0) + f''(0)(x - 0)^2/2! + f'''(0)(x - 0)^3/3! + ...

Substituting the values we found:

f(x) = 1 + 4x + 16x^2/2! + 64x^3/3! + ...

Simplifying the terms:

f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...

Therefore, the Taylor series for f(x) = e^(4x) centered at c = 0 is:

f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...

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69.56 + 0.32x₁ - 0.18x₂ is the equation that fits the given data for the dependent variable y and the two independent variables x₁ and x₂.

The given data for a dependent variable y and two independent variables, x₁ and x₂, are as follows:

x₁: 22, 30, 12, 45, 11, 25, 18, 50, 17, 41, 6, 50, 19, 75, 36, 12, 59, 13, 76, 17

y: 50, 90, 50, 80, 60, 80, 50, 70, 60, 70, 50, 70, 90, 80, 70, 60, 80, 50, 70, 60

The estimated regression equation for the given data is given by:

y = 69.56 + 0.32x₁ - 0.18x₂

Here:

y represents the dependent variable.

x₁ and x₂ are the two independent variables.

Therefore, the equation that fits the given data for the dependent variable y and the two independent variables x₁ and x₂ is y = 69.56 + 0.32x₁ - 0.18x₂.

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Answer:

Subtraction

Step-by-step explanation:

To get x by itself, subtract 4 from both sides.

The value of variable x is given by the equation x = 7

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

Substituting the values in the equation , we get

x + 4 = 11

Subtracting 4 on both sides , we get

x = 11 - 4

On simplifying the equation , we get

x = 7

Therefore , the value of x is 7

Hence , the equation is x = 7

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Probabilities:

(a) P(CUD) = 0.9

(b) P(Cc n D) = 0.4

(c) P(CnD) = 0.3

In order to solve these probabilities, we need to understand the concepts of intersection and complement.

P(C) represents the probability of event C occurring, while P(D) represents the probability of event D occurring. P(CND) represents the probability of both events C and D occurring simultaneously.

(a) To find P(CUD), we need to find the probability of event C or event D occurring. This can be calculated using the formula: P(CUD) = P(C) + P(D) - P(CND). Plugging in the given values, we have P(CUD) = 0.5 + 0.6 - 0.2 = 0.9.

(b) To find P(Cc n D), we need to find the probability of the complement of event C and event D occurring simultaneously.

The complement of event C is denoted as Cc. The formula for P(Cc n D) is: P(Cc n D) = P(D) - P(CnD). Substituting the given values, we have P(Cc n D) = 0.6 - 0.2 = 0.4.

(c) Now, if events C and D are independent, then the probability of both events occurring simultaneously is equal to the product of their individual probabilities. Therefore, P(CnD) = P(C) * P(D) = 0.5 * 0.6 = 0.3.

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Based on the two-tangent theorem, the value of x is calculated in the circle as: x = 2.

Based on the two-tangent theorem, if two tangents are drawn from a circle to meet each other at any point outside the circle, then the lengths of the tangents are congruent to each other, that is, they are equal.

Therefore, we would create the following equation based on the two-tangent theorem:

20x + 6 = 10x + 26

Combine like terms:

20x - 10x = -6 + 26

10x = 20

Divide both sides by 10:

10x/10 = 20/10

x = 2

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Answer:

the second one

Step-by-step explanation:

y = 2/3 (x +6)-5

Answer:

B

Step-by-step explanation:

Step-by-step explanation:

BU = AU (Given)

BU = AU = 5 cm

BA = AU + BU

BA = 5 + 5

BA = 10 cm

CT = TA (Given)

CT = TA = 4 cm

AC = CT + TA

AC = 4 + 4 = 8 cm

CV = VB (Given)

CV = VB = 3 cm

CB = CV + VB

CB = 3 + 3 = 6 cm

Now,

Perimeter of ∆ABC = 10 + 8 + 6 = 24 cm

Answer:

Step-by-step explanation:

See the statements and reasons below:

Answer:

27

Step-by-step explanation:

One face of the cube is 9 square cm (54/6). So the length of an edge is 3 cm.

3x3x3 = 27

The equation that can be used to prove 1 + tan2(x) = sec2(x) is StartFraction cosine squared (x) Over tangent squared (x) EndFraction + StartFraction sine squared (x) Over tangent squared (x) EndFraction = StartFraction 1 Over tangent squared (x) EndFraction. the correct option is d.

In order to prove this, we can use the following identities:

tan(x) = sin(x) / cos(x)

sec(x) = 1 / cos(x)

tan2(x) = sin2(x) / cos2(x)

sec2(x) = 1 / cos2(x)

Substituting these identities into the given equation, we get:

StartFraction cosine squared (x) Over tangent squared (x) EndFraction + StartFraction sine squared (x) Over tangent squared (x) EndFraction = StartFraction 1 Over tangent squared (x) EndFraction

Therefore, 1 + tan2(x) = sec2(x).

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Answer:

It will take 1.19 seconds for the ball to hit the ground if no other players touch it

Step-by-step explanation:

The height of the ball after t seconds is given by the following equation:

\(h(t) = -4.9t^{2} + 5t + 1\)

How long will it take the ball to hit the ground if no other players touch it?

This is t when h(t) = 0. So

\(-4.9t^{2} + 5t + 1 = 0\)

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

\(ax^{2} + bx + c, a\neq0\).

This polynomial has roots \(x_{1}, x_{2}\) such that \(ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})\), given by the following formulas:

\(x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}\)

\(x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}\)

\(\bigtriangleup = b^{2} - 4ac\)

In this question:

\(-4.9t^{2} + 5t + 1 = 0\)

So \(a = -4.9, b = 5, c = 1\)

So

\(\bigtriangleup = 5^{2} - 4*4.9*1 = 44.6\)

\(t_{1} = \frac{-5 + \sqrt{44.6}}{2*(-4.9)} = -0.17\)

\(t_{2} = \frac{-5 - \sqrt{44.6}{2*(-4.9)}  = 1.19\)

Since we want a time measure, the answer cannot be negative.

It will take 1.19 seconds for the ball to hit the ground if no other players touch it

Answer:

y=3x - 1

Step-by-step explanation:

we are going to base the answer off of the y=mx+b form where m represents slope and b represents the y-intercept.

we know that b must be -1 because the line hits the y-axis when y is -1

this now leaves us with either the first or second choice

we then choose two points to find the slope. I am using (0,-1) and (1,2). If you count the boxes, the y-value increases by 3 as the x-value increases by 1. So the slope is 3/1 or 3.

so then we know the answer is y=3x-1

hope this helps

The height of this hill is given as :  51.88 feet.

How to solve for the height of the hill

We can use trigonometry to find the height of the hill. Let's call the height of the hill "h".

From the information given, we know that:

tan(27°) = h / (103/2)

h = (103/2) * tan(27°)

Using a calculator, we would have to go ahead to get the value of the variable h or height.

So  that h ≈ 51.88 feet.

So, the height of the hill is approximately 51.88 feet.

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