A game of "Doubles-Doubles" is played with two dice. Whenever a player rolls two dice and both die show the same number, the roll counts as a double. If a player rolls doubles, the player earns 5 points and gets another roll. If the player rolls doubles again, the player earns 5 more points. Whenever the player rolls the dice and does not roll a double, they lose points. How many points should the player lose for not rolling doubles in order to make this a fair game? Three-fifths 1 5 Three-fifths.

Answer: x₁=7, x₂=-1

Step-by-step explanation:

(x-3)^2= x^2-6x+9

2(x^2-6x+9)=28+4

x^2-6x+9=16

x^2-6x-7=0

you use the quadratic equation will give you 2 roots,

x₁=7, x₂=-1

The horizontal change from triangle ABC to triangle ABC include the following: A. right 5 units.

The vertical change from triangle ABC to triangle ABC include the following: C. down 2 units.

The translation rule in the standard format is: (x, y) → (x + 5, y - 2).

In Mathematics, the translation of a graph to the left is a type of transformation that simply means subtracting a digit from the value on the x-coordinate of the pre-image while the translation of a graph to the right is a type of transformation that simply means adding a digit to the value on the x-coordinate of the pre-image.

By translating the pre-image of triangle ABC horizontally right by 5 units and vertically down 2 units, the coordinate A of triangle ABC include the following:

(x, y)                               →                  (x + 5, y - 2)

A (3, 5)                        →                  (3 + 2, 5 - 2) = A' (5, 3).

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Complete statement : Two events are said to be mutually exclusive if they can not occur at the same time. Two events are said to be Independent  if the occurrence of one does not influence the probability of occurrence for the other.

What are Independent events?

Independent events are events for which the occurrence (or non-occurrence) of one event does not affect the probability of the other event occurring.

Two events are said to be mutually exclusive (or disjoint) if they cannot occur at the same time. In other words, if one event occurs, the other event cannot occur simultaneously.

For example, if we toss a coin, the events "getting a heads" and "getting a tails" are mutually exclusive. If we get a heads, we cannot get a tails at the same time.

Two events are said to be independent if the occurrence of one event does not influence the probability of occurrence of the other event. In other words, the probability of both events occurring together is equal to the product of their individual probabilities.

For example, if we roll a dice twice, the events "getting a 2 on the first roll" and "getting a 4 on the second roll" are independent. The probability of getting a 2 on the first roll is 1/6, and the probability of getting a 4 on the second roll is also 1/6. The probability of getting a 2 on the first roll and a 4 on the second roll is (1/6) x (1/6) = 1/36.

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A palindromic number is a natural number whose value does not change if its digits are reversed. For example, the number 66 is a palindromic number because if its digits are reversed, it is still 66. '

In a Venn diagram, the set of natural numbers is represented by U, the set of palindromic numbers is represented by A, and the set of numbers that are both natural and palindromic is represented by the intersection of U and A.

Since the number 66 is both a natural number and a palindromic number, it belongs to the intersection of U and A. In the Venn diagram, this is represented by the region where the two circles overlap. Therefore, the number 66 belongs to the region of the Venn diagram that represents the intersection of U and A.

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Answer:

(-2,1)

Step-by-step explanation:

Since this is an upwards opening parabola, the minimum point is at the vertex

We can find the x coordinate of the vertex by

y = 2x^2 +8x +9

where a=2  b =8 and c =9

x = -b/2a

x = -8/(2*2)

  = -8/4 = -2

The x coordinate is -2

Now substitute this in to find the y coordinate

y = 2(-2)^2 +8(-2)+9

  = 2*4 -16+9

  8-16+9

  =1

The vertex = (-2,1), which is the minimum point

Answer:

Step-by-step explanation:

y=2x²+8x+9

to find the minimum or maximum point x=-b/2a

x=-8/4=-2

y=2(-2)²+8(-2)+9

y=8-16+9

y=1

minimum point is (-2,-1)

If Wyatt initially invests an amount of $1200 for 4 years at a simple interest of 6.2% and then the amount from that is invested for 5 years at a simple interest of 8%, the new account balance at the end is 2096.64 dollars.

Therefore the answer is $2096.64

The amount when invested an initial amount of P for n years at annual simple interest rate of r is given by

A = P + Pnr

As Wyatt invest an amount of $1200 at 6.2% simple interest, at the end of 4 years he will have an amount equal to

A = 1200 + 1200×4×0.062

A = 1497.6

Now as Wyatt invest an amount of $1497.6 at 8% simple interest, at the end of 5 years he will have an amount equal to

A = 1497.6 + 1497.6×5×0.08

A = 2096.64

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Answer: Square and rectangle

Step-by-step explanation:

The equation of the quadratic function is: f(x) = (x + 5)² - 2.

What is quadratic function?

To find the equation of the quadratic function represented by the given table of values, we can start by identifying the pattern in the data. We can see that the values of f(x) increase and then decrease, which suggests that the graph of the function is a parabola that opens downward.

To find the vertex of the parabola, we can use the formula x = -b/2a, where a is the coefficient of x², b is the coefficient of x, and x is the x-coordinate of the vertex.

Using the data in the table, we can calculate the values of a, b, and c in the standard form of a quadratic equation: f(x) = ax² + bx + c.

First, we can use the data for x = 0 to find the value of c:

f(0) = 13

a(0)² + b(0) + c = 13

c = 13

Next, we can use the data for x = -8 and x = -5 to set up a system of two equations and two unknowns to solve for a and b:

f(-8) = 13 = a(-8)² + b(-8) + 13

f(-5) = -2 = a(-5)² + b(-5) + 13

Simplifying each equation:

64a - 8b = -4

25a - 5b = -8

Multiplying the second equation by 8/5 to eliminate b:

64a - 8b = -4

32a - 8b = -12

Subtracting the second equation from the first:

32a = 8

a = 1/4

Substituting a = 1/4 into one of the equations and solving for b:

64(1/4) - 8b = -4

16 - 8b = -4

b = 5/2

So the equation of the quadratic function is:

f(x) = (1/4)x² + (5/2)x + 13

Simplifying:

f(x) = (x + 5)² - 2

Therefore, the answer is f(x) = (x + 5)² - 2.

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No, the line passing through  (-4, 26) and (-2, 0) is  not parallel to line passing through (10, 18) and (5, 3) because slopes of both lines are different.

Line is possible in 2-d forms so, it has only x and y-co-ordinates. Z-co-ordinates is not possible.

We know very well that to prove any two lines are parallel to each other we need to prove only whether their slopes are equal or not.

Now, talking about the slopes we know that if any line is passing from point(x₁,y₁) and again passing from other point(x₂,y₂) then slope(m) of that line is given by the formula=(y₂-y₁) / (x₂-x₁)

So, for first line we have (x₁, y₁)=(-4,26)

and (x₂, y₂)=(-2,0)

So, slope(m₁) of first line is =(0-26)/(-2 - (-4))

                  =>m₁ = -26/2

                   =>m₁ = -13     ----(eq1)

Similarly, for second line, we have (x₁, y₁)=(10,18)

and (x₂, y₂)=(5,3)

So, slope(m₂) of second line is =(3-18) / (5-10)

                =>m₂ = -15/-5

                 =>m₂=     3   -------(eq2)

On comparing eq1 and eq2,we get

 =>m₁≠m₂.

Hence, the given lines are not parallel.

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(Complete question) is:

Is the line through (-4, 26) and (-2, 0) parallel to the line through (10, 18) and (5, 3)?

The outcomes of A ∪ B are {1, 2, 3, 5, 7, 9, 11, 13, 17, 19} and the outcomes of A ∩ B are {3, 5, 7, 11, 13}.

The set A represents the prime numbers less than 20, while the set B represents the odd numbers less than 15.

Listing the outcomes of A ∪ B (union of A and B) will provide all the elements present in both sets without duplication.

On the other hand, listing the outcomes of A ∩ B (intersection of A and B) will give the common elements between the two sets.

Set A: {2, 3, 5, 7, 11, 13, 17, 19}

Set B: {1, 3, 5, 7, 9, 11, 13}

To find the outcomes of A ∪ B, we need to combine all the elements from sets A and B without duplication.

Taking the union of A and B gives us the following elements: {1, 2, 3, 5, 7, 9, 11, 13, 17, 19}.

Therefore, the outcomes of A ∪ B are {1, 2, 3, 5, 7, 9, 11, 13, 17, 19}.

These numbers represent all the prime numbers less than 20 and all the odd numbers less than 15, combined without duplication.

To find the outcomes of A ∩ B, we need to identify the elements that are present in both sets A and B.

In this case, the common elements between A and B are {3, 5, 7, 11, 13}.

Therefore, the outcomes of A ∩ B are {3, 5, 7, 11, 13}.

These numbers represent the prime numbers less than 20 that are also odd numbers less than 15.

The intersection of A and B shows the elements that satisfy both conditions simultaneously.

By finding the outcomes of A ∪ B and A ∩ B, we have identified the elements that belong to both sets without duplication and the elements that are common between the sets, respectively.

This helps in understanding the combined elements and the overlapping elements between sets A and B.

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The complete question is:

A = {prime numbers less than 20} B = {odd numbers less than 15}

List the outcomes of A ∪ B and explain?

List the outcomes of A ∩ B and explain?

Answer:

7.2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Distance "D" = rate × time

or d = r × t.

Tad and his buddies drove to the orange bowl(while going) -50mph

Tad and his buddies while returning from a trip -75mph

Total round trip = 12 hours

Distance while going = 50 x t

Distance while returning = 75 (12 - t)

50t = 75(12 -t)

50t = 900 -75t

50t + 75t = 900

125t = 900

t = 900/125

t= 7.2

The total number of hours it takes Tad and his buddies to drive to the orange bowl is 7.2 hours.

Answer:

d

Step-by-step explanation:

f(x) = |x| will always be parent function unless told otherwise.

Answer:

 3.5x

Step-by-step explanation:

the medium box would be 1x, if small is half the size, its 0.5x, and large is 2x since its 2x the size of medium. add all of them up and its 3.5x size

Answer:

No

Step-by-step explanation:

1/4=0.25

5/16 does not equal 0.25

Answer:

21 correct 14 missed

Step-by-step explanation:

21/35 = .6

.6=60%

Answer:

14

Step-by-step explanation:

21 is 60% of 35

35 - 21 = 14

your answer is 14 :)

have a great day^^

please let me know if you didn't get my explanation

We are given the following function

We are asked to find the value of f(2)

f(2) means to substitute x = 2 into the function

Recall the order of operations, first solve the exponent, then multiplication, and finally addition

Therefore, the value of f(2) is 19

Answer:

Step-by-step explanation:

Asked:  How many square tables are needed to place 100 pupils?

Given: Square table each has 4 pupils to sit

operation :  Multiplication, subtraction,  Division

Solve:

Number of pupils in 9 rectangular tables = 9*8 = 72 pupils

Remaining pupils = 100 - 72 = 28

Number of square table needed =28 ÷ 4 = 7

7 square tables are needed.

Answer:

Slope=2

x−intercept=−  

2

4

​  

=−2

y−intercept=  

1

4

​  

=4.00000

Step-by-step explanation:

Answer:

95.4 yards maybe

Step-by-step explanation:

just used pythagoras theorem

The equation that represents the relation is y = 8 - 0.5x

The given parameters are:

Start = 8m

Rate = 1/2 m/s

The linear equation that represents the submarine movement is:

y = Start - Rate * x

This gives

y = 8 - 1/2 * x

Evaluate

y = 8 - 0.5x

Hence, the equation that represents the relation is y = 8 - 0.5x

See attachment for the graph

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Answer:

x = 15.2

Step-by-step explanation:

you can use the Pythagorean Theorem on either half of the large triangle because you know one leg is 29/2 and the hypotenuse is 21

(29/2)² + x² = 21²

210.25 + x² = 441

x² = 230.75

x = \(\sqrt{230.75}\)

x = 15.2

The surface area of the pyramid is approximately 20.4 square inches.

The surface area of a pyramid is the total area of all the flat faces of the pyramid. The formula for calculating the surface area of a pyramid depends on the shape of its base.

For a pyramid with a square base, the surface area is given by:

Surface Area = base area + 4 * (1/2) * base edge length * slant height

where the base area is the area of the square base, and the slant height is the distance from the apex of the pyramid to the midpoint of an edge of the base.

For a pyramid with a rectangular base, the surface area is given by:

Surface Area = base area + 2 * (length * slant height) + 2 * (width * slant height)

where the base area is the area of the rectangular base, and the length and width are the dimensions of the base.

To find the surface area of the pyramid, we need to find the area of each face and add them together.

Each face of the pyramid is an isosceles triangle, so we can use the formula for the area of an isosceles triangle:

A = (1/2)bh

where A is the area of the triangle, b is the base, and h is the height.

The base of each triangle is one side of the square, which is 2 inches. The height of each triangle can be found using the Pythagorean theorem, since it forms a right triangle with one leg of 1.5 inches (half of the side of the triangle) and the hypotenuse of 3 inches (the other leg of the triangle). So:

h² = 3² - 1.5²

h² = 6.75

h ≈ 2.6 inches

Now we can find the area of each triangle:

A = (1/2)(2)(2.6)

A ≈ 2.6 square inches

There are four identical triangles, so the total area of the triangular faces is:

4A ≈ 10.4 square inches

To find the area of the square base, we simply square the length of one of its sides:

A = 2² = 4 square inches

Now we can find the total surface area of the pyramid by adding the areas of the triangular faces and the base:

Total surface area = 4A + A = 5A ≈ 20.4 square inches

Therefore, the surface area of the pyramid is approximately 20.4 square inches.

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Answer:

Step-by-step explanation:

\(10 \sqrt{5} \)

\( \sqrt{ {10}^{2} } \sqrt{5} \)

\( \sqrt{5 \times {10}^{2} } \)

\( \sqrt{5 \times 100} \)

\( \sqrt{500} \)

Answer:

500

Step-by-step explanation:

I took the test

Answer:X + Y ≥ 4

$2.20X + $2.95Y ≤ $10.00

Strawberries cost $2.20 per pound

Raspberries cost $2.95 per pound

Jada only has $10.00 to spend

She wants to buy at least 4 pounds

Assumption: She buys X pounds of strawberries and Y pounds of raspberries.

Solution:

Number of pounds can't be less than 4

i.e X + Y ≥ 4

The cost of buying strawberries and raspberries has to be $10.00 or less than $10.00

i.e $2.20X + $2.95Y ≤ $10.00

So the system of equations is;

X + Y ≥ 4

$2.20X + $2.95Y ≤ $10.00

Step-by-step explanation:

Hopefully this helped, if not HMU and I will get you a better answer.

-Have a great day! :)

Answer:

Step-by-step explanation:

B. Point B

A useful technique in controlling multicollinearity involves the use of variance inflation factors. Thus, option A is the correct answer.

Multicollinearity is a state that occurs when there is a high correlation between two or more predictor variables. In other words, when one predictor variable can be linearly predicted from the other predictor variable. Multicollinearity causes unstable regression estimates and makes it hard to evaluate the role of each predictor variable in the model.

Variance inflation factor (VIF) is one of the useful techniques used in controlling multicollinearity. VIF measures the degree to which the variance of the coefficient estimates is inflated due to multicollinearity. When VIF is greater than 1, multicollinearity is present.

Therefore, a is correct.

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To answer, let's use the exponent rules to solve the power of 1.

Exponents, often known as powers, specify how many times the base number must be multiplied.

Exponent rules are principles that are used to simplify expressions using exponents. These principles are also useful in simplifying formulas with exponents that are decimals, fractions, irrational numbers, or negative integers.

Negative exponents Rule: \(a^{-m} = 1/a^m\)

Product Rule: \(a^m * a^n = a^{(m+n)}\)

Quotient Rule: \(a^m/a^n = a^{(m-n)}\)  

Power of a Power Rule: \((a^m)^n = a^{mn}\)

Here, given that, 3 to the power of 1

The number 3¹ may be expressed as 3 to the power of 1, according to the exponent rule.

The base number in this formula is 3, while the power number is 1, and we know that any integer increased to that same power of that one equals the original number.

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Answer:

a. 33 sq.m

b.33x sq.m

Step-by-step explanation:

In a) formula of area of rectangle is:

Area= length * width

where 3m is width and 11m is length

Now area = 3 *11

area= 33 sq.m

In b) formula is same as above

area= 3x * 11

area= 33x sq.m

Answer:

D.

Step-by-step explanation:

12x + 7x = 19x

-7 + +9 = 2

Answer:

d

Step-by-step explanation:

Answer:

measure of angle B = 30°.

In a 30°-60°-90° right triangle, the length of the longer leg is √3 times the length of the shorter leg, and the length of the hypotenuse is twice the length of the shorter leg.

AB = 10√33√3 = 10√11√3√3 = 30√11

BC = 2(10√3) = 20√3

Answer:

−2.5f−21.65

Step-by-step explanation: