Add.

(2x3+4x2+1)+(x3−x2−4)



Express the answer in standard form.

Enter your answer in the box.

Answer:

x = 8

Step-by-step explanation:

because wy bisects XZ , XY and ZY are equal so ..

2x+3=3x-5

then x is 8❤

Answer:

last answer choice

Step-by-step explanation:

Answer:

0.00000797

Step-by-step explanation:

RA ≅ RB . Option A is correct.

In a triangle if any of the two angles are equal, then the sides opposite to the equal angles are also equal.

Given,

          ∠RAB ≅∠RBA

Also, side opposite to  ∠RAB is side RB

and, side opposite to  ∠RBA is side RA

Hence, side RA and side RB are equal.

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Answer:

width=9 cm

length =36cm

Step-by-step explanation:

let us suppose width of rectangle be x

then,length of rectangle =4x

given, perimeter of rectangle =90cm

we know that,

perimeter of rectangle=2(length + width)

90cm=2(4x+x)

or,90/2cm=5x

or,45cm=5x

or,(45/5)cm=x

or,x=9cm..

therefore ,width(x)=9 cm

and length (4x)=4*9=36cm

a)

This is a geometric sequence, this means that each value of the sequence is multiplied by the common ratio to determine the next number.

For the sequence {3,-15,75}

Divide one of the given numbers by the number before it on the sequence to determine the common ratio

The common ratio for this sequence is r=-5

b)

a is the first value of the sequence

r is the common ratio

k is the place on the sequence of the required value

You can calculate said value using

c)

For

a=3

r=-5

k=5

The value fo the sequence is

Answer:

(x, y) = (-1, 0)

Step-by-step explanation:

Here:

1. -x + y = 1

2. 2x + y = -2

so just temporarily....

multiply #1 by 2

and

multiply #2 by 2

1. -2x + 2y = 2

2. 4x + 2y = -4            then subtract top from bottom.

   -6x + 0  = 6

          -6x = 6

             x  = -1

Then implement x = -1 into the original state of #2

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

      -2 + y = -2

             y = -2 + 2

             y = 0

(x, y) = (-1, 0)

WooHoo! pls brainliest ;) !

The minimum value of y is -1. This can be answered by the concept from equation of a circle.

To find the minimum value of y, we need to rewrite the given equation in terms of y. Completing the square, we have:

x² - 14x + y² - 48y = 0
(x² - 14x + 49) + (y² - 48y + 576) = 49 + 576
(x - 7)² + (y - 24)² = 625

This is the equation of a circle with center (7,24) and radius 25. The minimum value of y occurs at the bottom of the circle, which is the point (7,24-25).

Therefore, the minimum value of y is -1.

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Answer:

total area = 530 ft^2

Step-by-step explanation:

bottom = 8 x 25 = 200 ft^2

2 sides = 8 x 5 x 2 = 80 ft^2

2 other sides = 25 x 5 x 2 = 250 ft^2

200 + 80 + 250 = 530 ft ^2

Answer:

Step-by-step explanation:

  817

x 45

_______

+   4085

+  32680

__________

36,765

Answer:

36,765

Step-by-step explanation:

Attched below

Answer:

refer to the attachment

Given :

R'S'T' is the image of RST

we will find the rule of translation using the coordinates of :

So, the rule will have the form :

So, the answer is :

T(7,-3)

7 units right ; 3 units down

To determine the zeros of the given expression, we need to set the expression equal to zero and solve for x.

x(x−5)(x−13) = 0
From the Zero Product Property, we know that if a product of factors equals zero, then at least one of the factors must equal zero.

So, we have three cases to consider:

1. x = 0
2. x - 5 = 0
3. x - 13 = 0

Solving these equations, we find that the zeros are:

1. x = 0
2. x = 5
3. x = 13

Therefore, the zeros are 0, 5, and 13.

Part B: To classify the zeros, we need to determine if they are complex, real, or rational.

1. The zero 0 is a real and rational number because it can be expressed as a fraction (0/1).
2. The zero 5 is also a real and rational number because it can be expressed as a fraction (5/1).
3. The zero 13 is a real and rational number because it can be expressed as a fraction (13/1).

Therefore, the zeros can be classified as real and rational.

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Answer:

Im not sure but we are learning this in my school and the answer would be 1570.8 and rounded would be 1571

Step-by-step explanation:

Hope this helps

The slant height of the cone is approximately 19 cm when rounded to the nearest tenth.

To find the slant height of a cone, we can use the formula for the lateral area and the radius. The formula for the lateral area of a cone is given by:

Lateral Area = πrℓ

where r is the radius of the base and ℓ is the slant height.

In this case, we are given that the lateral area is 703π cm^2 and the radius is 37 cm. We can plug these values into the formula and solve for the slant height.

703π cm^2 = π(37 cm)ℓ

To simplify the equation, we can cancel out the π on both sides:

703 cm^2 = 37 cm ℓ

Next, we isolate ℓ by dividing both sides of the equation by 37 cm:

ℓ = 703 cm^2 / 37 cm

Simplifying the right side of the equation, we get:

ℓ ≈ 19 cm

To summarize, given the lateral area of the cone as 703π cm^2 and the radius as 37 cm, we used the formula for the lateral area to find the slant height. By isolating ℓ in the equation and simplifying, we determined that the slant height is approximately 19 cm when rounded to the nearest tenth.

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Answer: Janey has $115, and Teresa has $230.

Step-by-step explanation:

Set x be the money that Janey have, then Teresa have 2x.

x + 2x = 345

      3x = 345

         x= $115

2x= 2(115)= $230

Answer:

57

Step-by-step explanation:

The time taken by both the workers working together, which is 2 days.

The time taken to build a house by two workers working together can be calculated using the formula T = (1/W1 + 1/W2)^-1, where W1 and W2 are the working speeds of each worker. In this case, W1 = 2 days and W2 = 3 days. So, the time taken to build a house by both workers together is calculated as follows:

T = (1/2 + 1/3)^-1 = (3/6)^-1 = 6/3 = 2 days

Therefore, both the workers working together will take 2 days to build a house. This is because when two workers work together, the total work done in a given time is equal to the sum of the work done by each worker separately in that given time. In this case, both the workers will take 2 days and 3 days respectively to build the house when working separately, so when they work together the total work done in a given time will be 5 days. This is equal to the time taken by both the workers working together, which is 2 days.

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Answer:

3/8

Step-by-step explanation:

Consider all the possible ways to get two heads, HHT, HTH and THH. There are 2⋅2⋅2=8 possible combinations in total. Therefore, the answer is 3/8.

The probability of having a 5-card hand that is a flush or royal flush is 0.00196

Probability: Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

Flush, straight flush, and royal flush probabilities are calculated as follows: 5148/2598960≅0.00198

A flush's likelihood (while eliminating straight and royal flushes) is 5108/2598960, ≅0.00196.

Finding the fraction with the number of ways to have a flush as the numerator and the number of possible five-card hands as the denominator will allow us to determine the likelihood.

Combinations will be used to find each of these numbers (we don't care about the draw order; only about what shows up in our hand). Combinations' general formula is Cn,k=n!/(k)!(n-k)! with k=picks and n=population

Let's first determine the denominator by selecting 5 cards at random from a deck of 52 cards: C52,5=52!/(5)!(525)!

=52!/(5!)(47!)

Let's assess it!

52×51×50^10×49×48^2×47!/5×4×3×2×47!=52×51×10×49×2=2,598,960

Let's now determine the numerator.

In order to examine each hand with five cards of the same suit, we will compute all hands that feature a flush (including straight flushes, royal flushes, and flushes) (with a suit having 13 cards in total). We can say that we understand this by:

C13,5

Remember that there are 4 suites in which this might occur, but we only want 1, so multiply by C4,1. Putting it all together, we obtain:

C4,1×C13,5=4!/(1!)(4−1)!×13!/(5!)(13−5)!=4!13!/3!5!8!

Let's assess this.

4!×13×12×11×10×9^3×8!/3×2×5×4!×8!=13×12×11×3=5148

(Remember that we just calculated all hands, including straight flushes and royal flushes, that have a flush component to them!

The probability of getting a hand with a flush is:

5148/2598960≅.00198

We may exclude straight and royal flush possibilities from the 5148 flush hands by excluding those hands (which are hands with 5 consecutive value cards in the same suit, such as 3, 4, 5, 6, and 7 of hearts). Since there are four suits and 10 potential ways to get a straight (A-5, 2-6, 3-7,..., 10-A), we can subtract 4 from 5148 to get 5108 hands, which gives us the result 5108/2598960=0.00196.

The probability of having a 5-card hand that is a flush or royal flush is 0.00196

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Yes, the equation y = 5x represents a proportional relationship

Two or more expressions with an Equal sign is called as Equation.

The given equation is y=5x.

In a proportional relationship, the ratio of y to x is constant.

In the given equation the variable x and y has a proportional relationship.

The equation is in the form of y=mx+b

the ratio of y to x is 5, meaning that for every unit increase in x, y increases by 5 units.

Hence,  Yes, the equation y = 5x represents a proportional relationship

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Answer:

Center is (1,5) ;Radius is the square root of 13

The overall area of the exclamation point at the Little Havana billboard is about 24 square ft while rounded to the nearest square foot.

To discover the total area of the exclamation point, we need to calculate the area of the sector and the area of the circle, after which add them collectively.

First, let's find the area of the sector. The formula for the area of a circle area is:

Area of sector = (angle/360) x π x radius^2

Substituting the given values, we get:

Area of sector = \((24/360) x π x 9^2 = 16.62 ft²\)

Next, let's find the area of the circle. The components for the area of a circle is:

Area of circle = π x radius^2

Substituting the given value, we get:

Area of circle \(= π x 1.5^2 = 7.07 ft²\)

Now, we are able to add the areas of the sector and the circle to get the whole area of the exclamation point:

\(6.62 feet² + 7.07 feet² = 23.69 ft²\)

Therefore, the overall area of the exclamation point at the Little Havana billboard is about 24 square ft while rounded to the nearest square foot.

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Answer:

1 year 1470

2 years 2220

Step-by-step explanation:

Try it, it correct

Answer:

○ The distance between a and b on the number line is 0.47 units.

Explanation:

The first statement is not true because the distance between a and b on the number line is not 0.47.

Distance between a and b = 5.25 - (-5.72)

                                             = 10.97

• The second statement is true because the sum of a and b is negative:

Sum = a + b

        = -5.72 + 5.25

        = -0.47

• The third statement is true because the quotient of a and -b is:

a ÷ -b

⇒ -5.72 ÷ -5.25

⇒ 1

And the quotient of -a and b is:

-a ÷ b

⇒ -(-5.72) ÷ 5.25

⇒ 1

This shows that the quotients are the same.

• The fourth statement is true because the product of a and -b:

a × -b

⇒ -5.72 × -(5.25)

⇒ 30.03 ,

is positive.

The probability that a student will get exactly 13 questions right is 0.003.

Let E be an event that student gives 13 right answers.

According to the given question.

An exam contain total number of questions is 15.

Now,

The probability that a student gives a right answer, p = 1/2 = 0.5

And, the probability that a student gives a wrong answer, q = 1 - 1/2 = 1/2 = 0.5

Therefore,

The probability that a student will get exactly 13 questions right is given by

⇒ P(E) = C(15, 13) p^(13)q^(15 - 13)

⇒ P(E) = (15!/13!2!)(0.5)^13(0.5)^2

⇒ P(E) = (15(14)/2 ) ×  ( 0.00012) × 0.25

⇒ P(E) = 105 × 0.00012 × 0.25

⇒ P(E) = 0.00315

Hence, the probability that a student will get exactly 13 questions right is 0.003.

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The density of the lobster population in the area labeled NBHK is C) 9.02 lobsters/mi^2.

Population density refers to the number of people living in a given area, usually expressed as the number of individuals per square mile or kilometer.

To calculate population density, you can divide the total population of a given area by its land area. For example, if a city has a population of 1 million people and an area of 100 square miles, its population density would be 10,000 people per square mile.

The figure has two trapezoid and the areas are 306 and 756. Total area will be 1062 miles².

Lobster population will be:

= 6817 / 756

= 9

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