what is the rate of change/slope? tyia!

We will observe that the anticipated value is $0, indicating that Laura should anticipate neither winning nor losing any money after a significant number of games.

The predicted result of an experiment with N outcomes, each with a probability of p1, p2,..., pn, is:

EV = x₁*p₁ + ... + xₙ*pₙ

The results in this situation are:

x₁ = drawing an unlucky card = -$6

If there are five odd cards in a deck of ten cards, the probability is:

p₁ = 5/10 = 1/2.

x₂ = drawing a 2 = $2

There is only one 2 card on the deck, so the probability of drawing it is: p₂ = 1/10

x₃ = drawing a 4 = $4

p₃ = 1/10

x₄ = drawing a 6 = $6

p₄ = 1/10

x₅ = drawing a 8 = $8

p₅ = 1/10

x₆ = drawing a 10 = $10

p₆ = 1/10

So the expected value will be:

EV = (-$6)*(0.5) + ($2 + $4 + $6 + $8 + $10)*(1/10)

EV = 0

Thus, we will observe that the anticipated value is $0, indicating that Laura should anticipate neither winning nor losing any money after a significant number of games.

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The angle with 180° is a straight line, and the ray can be drawn in any way.

The definition of ray in maths, that it is a part of a line that has a fixed starting point but no endpoint.

Given that, angle PKW is 180 degrees and two additional rays were added,

The figure has been attached in answer.

We know when an angle measures 180° it makes a straight line and on it, we can draw as many ray as we want and in any way.

Hence, The angle with 180° is a straight line, and the ray can be drawn in any way.

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Answer:

16.25

Step-by-step explanation:

3 x 0.75(chocolate covered cherries) = 2.25

3 x 4.25(mango smoothie) = 12.75

1 x 1.25( peanut butter cookie)= 1.25

12.75 + 2.25 + 1.25= 16.25

I hope this helps...

Answer:

Kaso spent $16.25 at Bella's bakery

Step-by-step explanation:

Each item costs a certain amount of money. What you have to do is multiply that amount by the number of each item. Then, add the sum.

Kason ordered 3 mango smoothies. Each smoothie costs $4.25. Therefore multiply 3(4.25)=12.75

Next, he ordered 3 chocolate covered cherries. Each cherry costs 0.75. Multiply 3(0.75)=2.25

Finally, Kason ordered 1 peanut butter cookie. Since each cookie costs 1.25, that is the amount he paid for the peanut butter cookie.

Add the 3 numbers together.

12.75+2.25+1.25=16.25

This is the amount of money he spent in total.

3 cups is converted to 24 fl.oz.

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity

We need to convert 3 cups to fl.oz.

A fluid ounce is a unit used in the measurement of the volume of liquids. It is commonly abbreviated as fl. oz. (or fl oz)

By the omni chart we have 1 cup=8 fl.oz.

As there are 3 cups we have to multiply 8 with 3

3 cups = 24 fl.oz

Hence, 3 cups is converted to 24 fl.oz.

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In the concept of geometry, the pair of triangles that are congruent by the ASA Congruent Theorem are the pairs that have two corresponding angles and an included side that are congruent to each other.

Congruent:

Congruent refers the identical in shape and size.

Given,

Here we need to find in which pair of triangles is congruent by the ASA postulate.

As per the Angle-Side-Angle Congruent Theorem (ASA) states that when two triangles are considered congruent if they have two corresponding angles that are congruent and an included side that are congruent to each other.

So, this one included side is the side that is lie between the two congruent angles in each of the triangles.

Therefore, the triangle which form the pairs of angles given has two corresponding angles and an included side that are congruent to each other in each triangle.

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Answer:

5/12

Step-by-step explanation:

we need to subtract these 2 fractions

3/4-1/3

to start we change so they can have common denominators and both of them can be 12

3x3/4x3-1x4/3x4

9/12-4/12

5/12

hopes this helps please mark brainliest

The Distributive property on the expression gives a result of 4.9 and the distributed expression is (2 + 4) * 0.82

From the question, we have the following parameters that can be used in our computation:

The expression is given as:

The product of 6 and 0.82

Mathematically, this expression can be represented as

6 * 0.82

To apply the distributive property,

We need to express 6 as the sum of two numbers

So, we have the following representation

6 * 0.82 = (2 + 4) * 0.82

Remove the brackets

6 * 0.82 = 2 * 0.82 + 4 * 0.82

Expand the terms of the expression

6 * 0.82 = 1.64 + 3.28

Evaluate the sum

6 * 0.82 = 4.92

Hence, the solution is 4.9

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Answer:

Exponential functions have the form f(x) = bx, where b > 0 and b ≠ 1.

Step-by-step explanation:

the d1 = 2A/d2 and d2 = 2A/d1 are correct options.

What is an Equations?

Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

The given A=a equals Start Fraction one-half End d1, d2, 2d1d2 where d1 and d2 are the lengths of the diagonals.

So the correct options are

d1 = 2A/d2

d2 = 2A/d1

Hence the d1 = 2A/d2 and d2 = 2A/d1 are correct options.

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Answer:

-32

Step-by-step explanation:

Simple

you will just substitute where there is x

for example if f(x)=3x+1 what is f(-2) so we will just substitute( place 2 for x)

it will now be f(-2)=3(-2)+1

=-6+1

=-5

so back to your question My friend

f(x)=4(3-x)

f(-11)=4(3-11)

=4(-8)

=-32

Thanks

The genotypic ratio is the distribution pattern of the genes in the offspring obtained after a genetic cross.

The phenotypic ratio is the distributionn pattern of the physical characteristics in the offspring obtained after a genetic cross.

To find a phenotypic ratio, we look at the alleles of the parent organisms and estimate how often those genes will be exhibited by the offspring.

Phenotype is the constellation of observable traits; genotype is the genetic endownment of the individual.

Phenotype = genotype + development (in a given environment).

The genotypic ratio and the phenotypic ratio may not necessarily be the same.

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Answer: One Real Solution

We can Identify the coefficients a, b, and c from your equation because as it says, it is in the format of the quadratic equation ( ax^2 + bx + c = 0 )

a=2,b=-4,c=2

Now we can use the discriminant to determine how many solutions this has using the equation b^2 - 4ac

Once we plug in our coefficients:

(-4)^2 - 4 x 2 x 2

Once we simplify, we get 0.

One real solution.

I hope this helps.

In this case, we first need to simplify the given quadratic equation 2x² - 4x = -2, and to do so, we perform the following simplification steps:

For a quadratic equation of the form ax² + bx + c = 0, the discriminant is calculated using the following formula:

   Δ = b² - 4ac

In this case, we have that the equation that we must solve is 2x²-4=-2, which implies that the corresponding coefficients are:

By introducing these values into the formula we get:

         Δ = b² - 4ac = (-4)² - 4·(2)·(2) = 0

Therefore, the discriminant for the given quadratic equation is Δ=0=0, which is zero, and indicates that the equation 2x²-4=-2 has only one real root.

A quadrilateral is a figure having four sides and four angles. The six types of quadrilaterals are rectangle, square, parallelogram, rhombus, kite and trapezoid.

According to the question,

We have to name six types of quadrilaterals by first defining a quadrilateral.

A quadrilateral is a figure where it has four sides and four angles. These sides and angles may sometimes be equal to each other and sometimes may be not. However, in all quadrilaterals, the sum of all four angles is 360°.

Six types of quadrilateral are rectangle (opposite sides of rectangle are equal), square (all sides are equal and each angle is a right angle), parallelogram (opposite sides are parallel and equal), rhombus, kite and trapezoid.

Hence, a quadrilateral is a figure having four sides and four angles. The six types of quadrilaterals are rectangle, square, parallelogram, rhombus, kite and trapezoid.

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The measure of the largest side of the triangle is 102cm.

Ratio, is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division.

For example, 2:3:6 shows the ratio of the sides of a triangle. The perimeter which is the addition of the triangle is 187cm.

Therefore the measure of each side will be given as:

2/11×187= 34cm

3/11×187= 51cm

6/11×187= 102cm

This means that the measure of the three sides are 34cm, 52cm, and 102cm.

Therefore the measure of the largest side is 102cm

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Answer:  The correct answer is (#3) this is a ssa situation, only one triangle is possible.

Step-by-step explanation:  Confirmed correct using the Law of Cosines.

Answer:

Answer: See attached.

Step-by-step explanation:

      First, we will graph the two inequalities. We will graph as we would with normal linear equations.

      However, they both use the < sign, so we will shade above a dashed line.

      The solution to this system of inequalities is where the shaded parts overlap. You can see that in the attachment I have labeled it as such.

Step-by-step explanation:

x = the integer number

8×(x + 2) - x = 86

8x + 16 - x = 86

7x = 70

x = 10

x + 2 = 12

the larger integer is 12.

Answer: C. 1

Step-by-step explanation:

[tex](-i)^6 =(-1)^6 i^6 =(-1)(-1)=1[/tex]

The polynomial 1 / 10 x²  + 10 - 3x in standard form is 1 / 10 x² - 3x + 10.

The standard form of a polynomial is expressed by writing the highest degree of terms first then the next degree and so on.

Standard form simply refers to the format of a polynomial expression where the terms are arranged by decreasing order of degree. Where the degree is determined by the exponent value of the variable of each term.

Therefore, let's rewrite the expression in standard form.

1 / 10 x²  + 10 - 3x

Hence, in standard form,

1 / 10 x² - 3x + 10

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Answer:

undefined

Step-by-step explanation:

The square root of any negative number is undefined because there is no possible solution. - × - = + and + × + = +

The unknown number of cases that to be shipped if there are 72 items to ship 6 in each case is 12.

To determine the total number of cases needed to ship 72 items, we need to divide the total number of items by the number of items in each case. In this case, we have 72 items to ship and each case can hold 6 items.

When we divide 72 by 6, we get 12. This means that there are 12 groups of 6 items that can be packed into cases. Each group represents one case.

Therefore, the total number of cases needed to ship 72 items is 12. Each case will contain 6 items, and there will be 12 cases in total.

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The fourth term on expansion of the expression (d - 4b)^3 is d. [tex] {-64b}^{3} [/tex].

To find the fourth term in the expression in question, [tex] {(d - 4b)}^{3} [/tex] will be calculated by expanding the expression. The expression will be expanded based on the formula -

[tex] {(a - b)}^{3} [/tex] = a³ - 3a²b + 3ab² - [tex] {b}^{3} [/tex]. This expanded form of the expression has four terms. Hence, keeping the values on Left Hand Side, we will get four terms for the expression mentioned in question.

So, expanding the expression according to formula by keeping the values of a and b as d and 4b -

[tex] {(d - 4b)}^{3} [/tex] = d³ + 3d²4b + 3d16b² - [tex] {-64b}^{3} [/tex]

Now, depending on this expansion of the question mentioned in expression, [tex] {-64b}^{3} [/tex] is the fourth term. Thus it is the correct option.

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The complete question is -

What is the fourth term of (d - 4b)^3?

a. b^3

b. -b^3

c. 64b^3

d. -64b^3

Answer:

2 1/4 kg

Step-by-step explanation:

The total number of pounds of avocados Jenna bought is B. 2

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

Assuming Jenna bought x pounds of apples and y pounds of avocados.

Altogether she bought 7 pounds of apples and avocados.

∴ x + y = 7...(i)

Altogether, she spent $14. 25.

∴ 1.25x + 4y = 14.25...(ii)

Now multiplying eqn(i) by 1.25 and subtracting from eqn(ii) to cancel out the variable x, we get

2.75y = 5.5.

y = 2 pounds of avocados and hence 5 pounds of apples.

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The factor theorem states that x+2 is a factor of x³+3x²+5x+6.

A factor is a number that completely divides another number.

To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.

The numbers that can divide a number exactly are called factors.

There is therefore no residual after division.

The numbers you multiply together to obtain another number are called factors.

A factor is therefore another number's divisor.

So, the expression is: x³+3x²+5x+6

Check whether x+2 is the factor:

Then,(x = -2)

p(-2) = (-2)³+3(-2)²+5(-2)+6

p(-2) = - 8 + 12 - 10 + 6

p(-2) = 0

Therefore, the factor theorem states that x+2 is a factor of x³+3x²+5x+6.

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Correct question:
Examine whether x+2 is a factor of x³+3x²+5x+6

A rhombus is a quadrilateral with four equal-length sides. The term equilateral quadrilateral refers to the fact that all of its sides are the same length.

A rhombus is a subset of a parallelogram. The opposite sides of a rhombus are parallel, and the opposite angles are equal. Furthermore, all of the sides of a rhombus are the same length, and the diagonals intersect at right angles. A rhombus is also referred to as a diamond or rhombus diamond.

Show that a rhombus is formed when the diagonals of a quadrilateral intersect at right angles. We have a quadrilateral ABCD in which the diagonals AC and BD intersect at right angles at O. Their corresponding parts are all the same. As a result, the quadrilateral ABCD is a rhombus.

here know that

[tex]\angle A E D=\angle A E B & =\angle B E C \\[/tex]

[tex]& =\angle C E D=90^{\circ}[/tex]

in [tex]$\triangle A E B$[/tex]

[tex]\angle A E B+\angle E A B+\angle E B A=180^{\circ} \\[/tex]

Simplifying the above equation, then we get

[tex]90^{\circ}+\angle E A B+50^{\circ}=180^{\circ} \\[/tex]

[tex]\angle E A B=40^{\circ}[/tex]

[tex]$A B \mid C D$[/tex]

Hence,

[tex]\angle E A B & =\angle E C D=40^{\circ} \\[/tex]

[tex]8 \angle E D C & =\angle A B E=50^{\circ} \\[/tex]

[tex]\angle B C D & =\angle E C D+\angle E C B \\[/tex]

[tex]& \angle 40^{\circ}+50^{\circ} \\[/tex]

[tex]\angle B C D & \left.=90^{\circ}\right)[/tex]

Therefore,  ∠ B C D is 90°

The complete question is:

In the given figure, A B C D is a rhombus. Diagonals A C and B D intersect each other at E. If ∠ 1=50° then ∠ B C D =

a) 100°

b) 90°

c) 80°

d) None of these

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Answer:

(-1, 7)

Step-by-step explanation:

First, set both equations equal to each other:

(y = x^2 – 4x + 2) = (y = -x^2 – 8x)

x^2 – 4x + 2 = -x^2 – 8x

x^2 + x^2 – 4x + 2 = -x^2 + x^2 – 8x

2x^2 - 4x + 2 = -8x

2x^2 - 4x +8x + 2 = -8x + 8x

2x^2 + 4x + 2 = 0

2(x^2 + 2x + 1) = 0

x^2 + 2x + 1 = 0

x^2 + x + x + 1 = 0

x(x+1) + 1(x+1) = 0

(x+1)(x+1) = 0

x+1=0

x=-1

y = -x^2 – 8x

y = -(-1)^2 – 8(-1) ==> plug in the x-value back into one of the equations

y = -1 – (-8)

y = -1 + 8

y=7

(-1, 7)

After division, 0.75 is 3/4 as a division problem.

In the given question we have to find what is 3/4 as a division problem.

The given division problem is 3/4.

With the help of the division formula Dividend = (Divisor Quotient) + Remainder, we can confirm the quotient and the remainder of the division. If the remaining is 0, we can multiply our quotient by the divisor to see if it is accurate. The quotient is accurate if the product equals the dividend.

To solve this division problem we divide 3 by 4. The answer should come in the decimal form because 3 is less than 4. So we take decimal to solve this.

Now the solution of the given division problem is:

3/4 = 0.75

Hence, 0.75 is 3/4 as a division problem.

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