which expressions are equivalent to -6+3(2+(-4t) choose all that apply A)-12t , B) 12t-12, C) none of the above

Answer:

-2

Step-by-step explanation:

f(x) + g(x) = x^2 - 2x +6x +4 = x^2 + 4x + 4

(f+g)(x)=0

x^2 + 4x + 4 = 0

x= -2

Answer:

here is the answer it is important because if you get a approximate answer you know that the real answer should be close to it

pls make me brainliest

Answer:

(x + 10)(2x + 5) - (x + 1)(x + 1)

= 2x^2 + 25x + 50 - (x^2 + 2x + 1)

= x^2 + 23x + 49

Answer:

Hence, Option C. 17 is the correct answer

Step-by-step explanation:

Brainlist me if its correct, if its not let me know.

The quotient and remainder are x³ -5x² + 10x - 17 and 55.

What is Synthetic division?

When the divisor is a linear factor, synthetic division is a technique used to carry out the division operation on polynomials.

Here, (x+2) is a linear factor which indicates that synthetic division can be applied.

So, we will divide the x^4 - 3x^3 - 7x + 1 by x+2.

(refer the attached solution)

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Answer:

Step-by-step explanation:

we need to remove the parenthesis first

x(y-w+z)=xy-xw+xz

a) z-score with lower tail: -0.6745

z-score with upper tail: 0.6745

b) z-score: -1.6449

c) z-score with lower tail: -1.6449

z-score with upper tail: 1.6449

The middle 50% of a normal distribution is the range between the 25th percentile and the 75th percentile.

The 25th percentile = a cumulative probability of 0.25

The 75th percentile = a cumulative probability of 0.75.

By using the NORM.S.INV() function, we can find the z-scores associated with these percentiles. Using Excel's NORM.S.INV() function, we can find that the 25th percentile corresponds to a z-score of -0.6745 and the 75th percentile corresponds to a z-score of 0.6745.

For getting the z-score corresponding to the lowest 5% of a normal distribution, we need to find the value of z that corresponds to a cumulative probability of 0.05.

By using the NORM.S.INV() function, we can find that the z-score corresponding to a cumulative probability of 0.05 is -1.6449.

For the z-scores corresponding to the middle 90% of a normal distribution, we need to find the values of z that correspond to a cumulative probability of 0.05 and 0.95.

By using the NORM.S.INV() function, we can find that the z-score corresponding to a cumulative probability of 0.05 is -1.6449 and the z-score corresponding to a cumulative probability of 0.95 is 1.6449.

a) z-score with lower tail: -0.6745

z-score with upper tail: 0.6745

b) Z-score: -1.6449

c) z-score with lower tail: -1.6449

z-score with upper tail: 1.6449

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\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Given : VU = 8 cm, let SV = n and SU = m

so, SU = 8 cm

SV = \(8\sqrt{2}\)

now,

The ratio of sides of Triangle SUV is :

hence, correct choice is C

In ∆SUV

So

Rest for SV

use Pythagorean theorem

So ratio is

The blank in the statement refers to a specific number and is dependent on various factors such as tire type, vehicle weight, and road surface conditions.

However, in general, hydroplaning, which occurs when a layer of water prevents direct contact between the tire and the road surface, can occur with as little as 0.1 inch of standing water on the road.

what is number?

A number is a mathematical concept used to count, measure, and label. It can be used to represent quantity, order, position, and more. Numbers can be positive, negative, or zero, and they can be whole or fractional. The most commonly used types of numbers are integers, rational numbers, real numbers, and complex numbers.

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Answer:

QR=5.25 units

PR=5 units

PQ=6.25 units

The probability that only one of the counters is white is the fraction 6/11 or 0.55 considering that the first take is without replacement

The probability for an event without replacement implies that once an item is taken, then we do not replace it back to the sample space before taking a second item.

Given that there are 11 counters in the bag, with 5 of them being white;

The probability of taking a white counter = 5/11

The probability of not taking a white counter = 6/11

The probability of taking a white counter first without replacement and not taking it the second time = (6/11) × (5/10)

The probability of not taking a white counter first without replacement and taking it the second time = (5/11) × (6/10)

The probability that only one of the counters is white = (6/11) × (5/10) + (5/11) × (6/10)

The probability that only one of the counters is white = (30/110) + (30/110)

Therefore, probability that only one of the counters is white = 6/11 [by simplification]

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Answer:

A

Step-by-step explanation:

it includes all numbers

In order to calculate the length of the third side, let's use the law of cosines:

Now, let's calculate angle A using law of sines:

Since the sum of internal angles in any triangle is equal to 180°, we have:

Therefore the answer is option A:

A = 44.9°, C = 30.4°, b = 11.41 m

When carpet sells for $4 per square foot and will cost you $616 to carpet your rectangular room, if you room is 14 feet long then the width is 11 feet

Given,

The cost of Carpet per square foot = $4

Total cost of the carpet = $616

We know

Area of the rectangle = Length × Width

Length = 14 feet

Consider the width of the rectangular room as x

Then the area of the room = 14x

Total cost of carpet = Area of the rectangular room× Cost of carpet per foot

Substitute the values

14x×4=616

14x=154

x=11 feet

Hence, When carpet sells for $4 per square foot and will cost you $616 to carpet your rectangular room, if you room is 14 feet long then the width is 11 feet

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Answer:

D

Step-by-step explanation:

Because I said so

The transformations could be performed to show that △ABC is similar to △A"B"C" is a 180° rotation about the origin, then a dilation by a scale factor of One-third .

Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph. It's a common type of problem in algebra, specifically the modification of algebraic equations.

According to the question

In  △ABC

AB = 3 units

BC = \(\sqrt{90}\) units

CA = 9 units

In △A"B"C"

A"B" = 1 units

B"C" = \(\sqrt{10}\) units

A"C" = 3 units

Now, the transformations could be performed to show that △ABC is similar to △A"B"C"

i > Rotate △ABC 180° about the origin

ii > then a dilation by a scale factor of One-third as we can observe that

each side of △ABC = 3 * each side of  △A"B"C"

Hence, the transformations could be performed to show that △ABC is similar to △A"B"C" is a 180° rotation about the origin, then a dilation by a scale factor of One-third .

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The equation, in slope-intercept form, of the line zw is y = x.

It is given that, equation of the line pq is:-

y = -x + 2

Also, line pq is perpendicular to line zw

zw passes through the point z (11,11).

We have to find the equation, in slope-intercept form, of the line zw.

The slope intercept form of a line is:-

y = mx + b

Where,

m represents slope of the line,

(x,y) represents every point on the line

b represents the y-intercept of the line

We know that, when two lines are perpendicular, the product of slopes of the lines is -1.

Let the slope of the line zw be m.

Hence,

m*(-1) = -1

m = 1

As it passes from the point z(11,11).

Hence, we can write,

11 = 1(11) + b

11 = 11 + b

b = 0

Hence, the slope intercept form of the line zw is y = x .

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Answer:

C. x-2

Step-by-step explanation:

edge

Answer: the 3rd the answer c

x-2

Step-by-step explanation:

There are 1078 different combinational methods to choose five baseball players and four basketball players from a pool of twelve baseball players and thirteen basketball players.

5 baseball players and 4 basketball players are chosen from a pool of 12 baseball players and 13 basketball players.

This is an issue of combination.

The combination is a way of estimating an event's total outcome when the sequence of the outcomes is irrelevant.

The formula is as follows: \({}^{n}C_{r}\) = n! ÷ (r! × (n - r)!)

Where n is the total number of things and r is the number of items picked at one time.

Let us first compute 5 baseball players from a total of 12 baseball players.

In this case, n = 12 and r = 5.

\({}^{12}C_{5}\) = 12! ÷ (5! × (12 - 5)!)

\({}^{12}C_{5}\) = 12! ÷ (5! × 7!)

The factorial of n for a number n is expressed as:

n! = n × (n-1) × (n-2) × (n-3) × .... × 2 × 1

Therefore,

\({}^{12}C_{5}\) = 12! ÷ (5! × 7!)

\({}^{12}C_{5}\) = 792

Similarly, 3 basketball players are chosen from a pool of 13 basketball players (n = 13 and r = 3).

\({}^{13}C_{3}\) = 13! ÷ (3! × (13 - 3)!)

\({}^{13}C_{3}\) = 13! ÷ (3! × 10!)

The factorial of n for a number n is expressed as:

n! = n × (n-1) × (n-2) × (n-3) × .... × 2 × 1

Therefore,

 \({}^{13}C_{3}\) = 13! ÷ (3! × 10!)

 \({}^{13}C_{3}\) = 286

As a result, the total number of methods is as follows:

\({}^{12}C_{5}\) + \({}^{13}C_{3}\) = 792 + 286

\({}^{12}C_{5}\) + \({}^{13}C_{3}\) = 1078

As a result, there are 1078 distinct methods.

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La clave para mantener el área constante radica en garantizar que la suma total de las áreas de las formas resultantes sea igual al área original del polígono. Esto demuestra que el área del polígono no cambia, sin importar cómo se divida.

Para dividir el polígono de dos formas diferentes y comprobar que el área no cambia, podemos utilizar el método de triangulación. La triangulación implica dividir el polígono en triángulos, lo cual puede hacerse de diferentes maneras.

Primera forma de división:

Podemos dividir el polígono trazando diagonales desde un vértice a todos los demás vértices. Esto generará una serie de triángulos en el interior del polígono. Si sumamos las áreas de todos los triángulos resultantes, obtendremos el área total del polígono original.

Luego, podemos repetir el proceso de división trazando diferentes diagonales y nuevamente sumar las áreas de los triángulos resultantes. Comprobaremos que, sin importar la forma de división, la suma total de las áreas de los triángulos será igual al área original del polígono.

Segunda forma de división:

Otra forma de dividir el polígono es trazando líneas paralelas a un lado del polígono. Estas líneas deben cortar todos los lados del polígono y generar múltiples trapezoides en su interior. Si sumamos las áreas de todos los trapezoides, obtendremos el área total del polígono original.

Luego, podemos trazar líneas paralelas a otro lado del polígono y repetir el proceso de sumar las áreas de los trapezoides resultantes. Nuevamente, encontraremos que la suma total de las áreas de los trapezoides será igual al área original del polígono, independientemente de la forma de división.

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synonym: a word of opposite meaning

contrast:  to show noticeable differences

1.  x² - 5x - 16 can be written as (x - 8)(x + 2).

2. 6an² - 3b²n² = n²(6a - 3b²).

3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².

4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

5. 17x³y⁴z⁶ = (x²y²z³)².

6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

Let's simplify the given expressions:

Simplifying x² - 5x - 16:

To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.

Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).

Simplifying 6an² - 3b²n²:

To simplify this expression, we can factor out the common term n² from both terms:

6an² - 3b²n² = n²(6a - 3b²).

Simplifying 4x² - 4xy + y²:

This expression represents a perfect square trinomial, which can be factored as (2x - y)².

Simplifying n + 1 - n³ - n²:

Rearranging the terms, we have -n³ - n² + n + 1.

Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

Simplifying 17x³y⁴z⁶:

To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:

17x³y⁴z⁶ = (x²y²z³)².

Simplifying 12a²b³:

To simplify this expression, we can multiply the exponents of a and b with the given expression:

12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

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She can select one freshman and one sophomore in 72 ways.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Phyllis who wants to select one freshman and one sophomore to attend a conference. She teaches 8 freshman and 9 sophomores

Total number of possible combinations are -

C[8,1] x C[9,1]

8!/(7! x 1!) x 9!/(8! x 1!)

8 x 9

72

Therefore, she can select one freshman and one sophomore in 72 ways.

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Answer:

b, 13√2 and 13

Step-by-step explanation:

13 is equal to y so it is 13

And for x u can get by using sin or cos cause u get the same answer

sin(45) = 13/ x

x = 13/ sin(45)

x= 26/√2 ....... when you rationalize the denominator

x= (26√2) / 2

x = 13√2

Answer:

a=9 , b=14

Step-by-step explanation:

Just do the operation (x+7)(x+2)

x(x)+x(2)+7(x)+7(2)

x^2+2x+7x+14

x^2+9x+14

So a=9 and b=14

The equation used to determine the number of days, x, required for the substance to decay to 63 grams is: x ≈ 83.60

To determine the number of days, x, required for a radioactive substance to decay to 63 grams, we can use the exponential decay formula. The equation that represents the decay of a radioactive substance over time is:

N(t) = N₀ * (1/2)^(t/h)

Where:

N(t) is the remaining mass of the substance at time t

N₀ is the initial mass of the substance

t is the time elapsed

h is the half-life of the substance

In this case, we have an initial mass of 475 grams, and we want to find the number of days required for the substance to decay to 63 grams. We can set up the equation as follows:

63 = 475 * (1/2)^(x/20)

To solve for x, we can isolate the exponential term on one side of the equation:

(1/2)^(x/20) = 63/475

Next, we can take the logarithm (base 1/2) of both sides to eliminate the exponential term:

log(base 1/2) [(1/2)^(x/20)] = log(base 1/2) (63/475)

By applying the logarithmic property log(base b) (b^x) = x, the equation simplifies to:

x/20 = log(base 1/2) (63/475)

Finally, we can solve for x by multiplying both sides of the equation by 20:

x = 20 * log(base 1/2) (63/475)

Using a calculator to evaluate log(base 1/2) (63/475) ≈ 4.1802, we find:

x ≈ 20 * 4.1802

x ≈ 83.60

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9514 1404 393

Answer:

  24π cm²

Step-by-step explanation:

The radius and height of the cone are shown as 3 and 4, so we know the slant height is 5 (a 3-4-5 right triangle is formed by these dimensions). Then the total surface area of the cone is ...

  A = πr² + πrl = πr(r +l)

  A = π(3 cm)(3 cm +5 cm) = 24π cm² . . . . total area of the cone

_____

Additional comment

The (3, 4, 5) Pythagorean triple is one of several involving small integers that regularly appear in math problems. It is worth remembering. In case you need convincing:

  3² + 4² = 5² . . . . sum of squares of sides is square of hypotenuse

  9 + 16 = 25

Answer:

7,650 lb

Step-by-step explanation:

each ton is 2,000 pounds, and there is 4.

so 8,000 -350=7,650

The solution of the subtraction operation is equal to 7,650 lb

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS - Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We need to Subtract 350 lb. from 4 tons.

We know that each ton is 2,000 pounds, and there is 4.

so, the subtraction is;

8,000 -350=7,650

The answer is 7,550 lb. so the correct option is D.

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Answer:A given nonmetal atom can form a single, double, or triple bond with another nonmetal. Which type of bond is formed between the atoms depends on their numbers of valence electrons.

Step-by-step explanation:

Answer:

A nonmetal atom can form either a single double or triple bond with another nonmetal. The type of bond that is formed between the atoms depends on their numbers of valence electrons.

Step-by-step explanation: