Please help me with this, thanks :’)Please provide step-by-step explanation if possible

Answer:

B

Step-by-step explanation:

a prime polynomial is one which does not factor into 2 binomials.

its only factors are 1 and itself

attempt to factorise the given polynomials

3x³ + 3x² - 2x - 2 ( factor the first/second and third/fourth terms )

= 3x²(x + 1) - 2(x + 1) ← factor out common factor (x + 1) from each term

= (x + 1)(3x² - 2) ← in factored form

--------------------------------------------------

3x³ - 2x² + 3x - 4 ( factor the first/second terms

= x²(3x - 2) + 3x - 4 ← 3x - 4 cannot be factored

thus this polynomial is prime

----------------------------------------------------

4x³ + 2x² + 6x + 3 ( factor first/second and third/fourth terms )

= 2x²(2x + 1) + 3(2x + 1) ← factor out common factor (2x + 1) from each term

= (2x + 1)(2x² + 3) ← in factored form

-------------------------------------------------

4x³ + 4x² - 3x - 3 ( factor first/second and third/fourth terms )

= 4x²(x + 1) - 3(x + 1) ← factor out common factor (x + 1) from each term

= (x + 1)(4x² - 3) ← in factored form

--------------------------------------------------

the only polynomial which does not factorise is

3x³ - 2x² + 3x - 4

The length of the triangle's hypotenuse (c) is approximately 22 feet. The closest option provided is "a) c = 22 feet."

The Pythagorean theorem, which asserts that given a right triangle, the sum of the squares of the two shorter sides (a and b), is equal to the square of the hypotenuse (c), can be used to determine the length of the triangle's hypotenuse (c).

a = 10 feet

b = 20 feet

Using the Pythagorean theorem, we can calculate c as follows:

c^2 = a^2 + b^2

c^2 = 10^2 + 20^2

c^2 = 100 + 400

c^2 = 500

To find c, we take the square root of both sides:

c = √500

c ≈ 22.36

Rounding the answer to the nearest whole number, we get c ≈ 22.

Therefore, the length of the triangle's hypotenuse (c) is approximately 22 feet. The closest option provided is "a) c = 22 feet."

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Answer:

He is not painting the bottom or top meaning that he will paint 4 sides total,   when there is a rectangular prism there are 6 sides and 3 pairs of 2 equal sides, so since there is a wall that is 9ft x 7 ft there is two of those, and since there is a wall that is 12 ft x 7 ft there are two of those as well. meaning that (7x9)·2=126 and (12x7)·2=168 when added we get 294. meaning that he needs to paint an area of 294 ft

Answer:

????

Step-by-step explanation:

The associated p-value for this left-tailed t-test is 0.0359 or 3.59%.

Now, The p-value for a one-tailed t-test with a sample size of 18 and a test statistic of 1.9,

Hence, we need to look up the t-distribution table.

So, Using a one-tailed test with,

df = n - 1

= 18 - 1 = 17 degrees of freedom

We find that the area to the left of 1.9 under the curve is 0.0359.

This means that there is a 3.59% probability of observing a t-statistic less than or equal to 1.9 if the null hypothesis is true.

Therefore, the associated p-value for this left-tailed t-test is 0.0359 or 3.59%.

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The surface area of the Figure is 470 cm per square.

According to the statement

we have to find the surface area of the cuboid.

So, For this purpose, we know that the

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape

And the formula become SA=2lw+2lh+2hw.

From the given information:

The length of the cuboid = 7cm

The width of the cuboid = 2cm

The height of the cuboid = 2cm

Use the formula which is

SA=2lw+2lh+2hw

Substitute the values in it

then

SA=2*7*2+2*7*2+2*2*2

SA=28+28+8

SA=64 cm per square.

And from another cuboid is :

The length of the cuboid = 7cm

The width of the cuboid = 7cm

The height of the cuboid = 12cm

Use the formula which is

SA=2lw+2lh+2hw

Substitute the values in it

then

SA=2*7*7+2*7*12+2*12*7

SA=70+168+168

SA= 406 cm per square.

Total area of figure = 406+64 = 498.

So, The surface area of the figure is 470 cm per square.

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To determine the times at which v(t) has a local minimum and maximum, we need to find the critical points of the function. A critical point is a value of t for which either the first derivative, v'(t), or the second derivative, v''(t), is equal to zero or does not exist.

The first derivative of v(t) is given by:

v'(t) = a + 2bt + y

Setting v'(t) equal to zero and solving for t, we get:

0 = a + 2bt + y

t = -a / 2b = -(3 m/s^4) / (2(-24 m/s^2)) = 3/48 s

The second derivative of v(t) is given by:

v''(t) = 2b

Since b is negative, v''(t) is negative, so v(t) has a local maximum at t = 3/48 s.

Similarly, since the second derivative is constant and negative, the function v(t) has a local minimum.

Therefore, the times at which v(t) has a local minimum and maximum are 3/48 s and 3/48 s, respectively, expressed as two numbers separated by a comma: 3/48 s, 3/48 s.

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Answer:

$104.90

Step-by-step explanation:

Did the math for you.

Have a good day!

Answer:

104.90 or 105$ rounded

Step-by-step explanation:

you do 20.98 (how much they cost) x 5 (how much he bought) = 104.90 (total cost.

Hope this helps :P

Answer:

Cuál es el término de la decimotercera (13.a) posición? 2,−1,5,−3,8,−5.

Step-by-step explanation:

Vamos a encontrar el patrón que se repite en la secuencia, y vamos a ver que el decimo tercer termino es 20.

Tenemos la secuencia:

2, -1, 5, -3, 8, -5

Tomando la diferencia entre terminos consecutivos obtenemos:

-1 - 2 = -3

5 - (-1) = 6

-3 - 5 = -8

8 - (-3) = 11

-5 - 8 = -13

Lo que podemos ver ahi es que la proxima vez que sumemos, tenemos que sumar 3 unidades mas de las que restamos antes, y cuando restemos, debemos restar dos unidades mas de lo que restamos antes, este es el patron.

Es decir, el proximo termino es:

-5 + 16 = 11

El proximo termino es:

11 - 18 = -7

Y así, los siguientes terminos son:

-7 + 21 = 14

14 - 23 = -9

-9 + 26 = 17

17 - 28 = -11

-11 + 31 = 20

Este ultimo es el treceavo termino.

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Answer:

y=-6x/3

Step-by-step explanation:

6x+3y=0

3y=-6x

y=(-6/3)x

Answer:

t = - 1/8

Step-by-step explanation:

t ÷ 5/12 = - 3/10

t × 12 ÷ 5 = - 3/10

12t/5 = - 3/10

12t × 10 = -3 × 5

120t = - 15

t = - 15/120

t = - 1/8

Thus, t divided 5/12 = - 3/10 => -1/8

-TheUnknownScientist

Answer:

1.75

Step-by-step explanation:

with pemdas 7÷12×3 its 1.75

Answer:

The recoil velocity of the gun is \(0.72\,\,\frac{km}{h}\)  and is pointing in opposite direction to the velocity of the bullet.

Step-by-step explanation:

Use conservation of linear momentum, which states that the momentum of the bullet (product of the bullet's mass times its speed) should equal in absolute value the momentum of the recoiling gun (its mass times its recoil velocity).

We also write the mass of the bullet in the same units as the mass of the gun (for example kilograms). Mass of the bullet = 0.010 kg

In mathematical terms, we have:

\(5\, kg * v= 0.01 \,kg\,* 360\,\frac{km}{h} \\v=\frac{0.01\,*360}{5} \,\,\frac{km}{h}\\v=0.72\,\,\frac{km}{h}\)

Answer:

4

Step-by-step explanation:

2/3 x6/1

Answer:

\(\frac{1}{9}\)

Step-by-step explanation:

\(\frac{2}{3}\) ÷ \(\frac{6}{1}\) = \(\frac{2}{3}\) × \(\frac{1}{6}\)

To change the ÷ sign to a × sign, swap the denominators and numerators of the second fraction.

\(\frac{2}{3}\) × \(\frac{1}{6}\) = \(\frac{2}{18}\)

Directly multiply. Numerators with numerators and denominators with denominators.

\(\frac{2}{18}\) = \(\frac{1}{9}\)

Divide the fraction by 2 to simplify it.

The amount of the last payment that Elroy will make is $710, which includes the $200 monthly payment and a balance of $510.

The last payment amount is the result of the mathematical operations of subtraction and multiplication.

The first mathematical operation was the subtraction of the down payment from the total cost of the video game system.

Using multiplication, the monthly payments are determined to be $3,400 for 17 months.  This is subtracted from the remaining balance to obtain the last payment amount.

The cost of a custom video game/virtual sound system = $4,210

Down payment = $100

The remaining balance for monthly payment = $4,110 ($4,210 - $100)

Payment period = 18 months (1¹/₂ years)

Monthly payments = $200

Payment for the first 17 months = $3,400 (17 x 200)

Last payment = $710 ($4,110 - $3,400)

Thus, if Elroy makes the minimum monthly payment of $200 till the last payment, then he will pay $710 to settle the account.

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He made a $100 down payment and agreed to pay the entire purchase off in 1 1/2 years The minimum monthly payment is $200 if he makes the minimum monthly payment up until the last payment what will be the amount of his last payment?

Answer:

± 25

Step-by-step explanation:

Answer:

A function is symmetric with respect to x-axis for every point on x,y.

Step-by-step explanation:

The graph is symmetric with respect to x-axis for a function x,y. Whenever point x,y are on the graph they are symmetric to x-axis. A function can be even or odd based on the points.  

Answer:True

Step-by-step explanation:

Edge 2020

The denominator is zero (0/0 is undefined), we cannot determine the exact value of f(-3) using this equation.

To solve the given equations, we need to find the value of the function f(x) for specific values of x.

"If f(x) / (x - 2) = x³ + 2x - 4 + 13/(x - 2), what is f(2)?"

To find f(2), we can substitute x = 2 into the equation and solve for f(2).

Plugging in x = 2, we get:

f(2) / (2 - 2) = 2³ + 2(2) - 4 + 13/(2 - 2)

Since the denominator is zero (2 - 2 = 0), the equation is undefined. Therefore, there is no solution for f(2) in this case.

"If f(x) / (x + 3) = 3x² - 4x + 2, what is f(-3)?"

To find f(-3), we can substitute x = -3 into the equation and solve for f(-3).

Plugging in x = -3, we get:

f(-3) / (-3 + 3) = 3(-3)² - 4(-3) + 2

Simplifying, we have:

f(-3) / 0 = 3(9) + 12 + 2

f(-3) / 0 = 27 + 12 + 2

f(-3) / 0 = 41

Additional information or context is needed to solve for f(-3).

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Answer:

35.56 (rounded to nearest hundredth)

Step-by-step explanation:

1.8x = 64

x= 64/1.8

x = 35.56

Answer:

AUB=2,4,6,8,10 & AnB=1,3,5,7,9

Answer:

k(-4) = 12

Step-by-step explanation:

The most simple definition of a function is a set of inputs that have a given set of outputs.

Functions are often written as f(x) = "an expression"

Where "x" is the input and "the expression" results in an output. Whatever the input is you plug into "x" and replace all "x"s with the input

Here, we are given the function k(x) = 8 - x and we want to find k(-4)

This can be rewritten as k(-4) = 8 - x

==> replace all x's with -4

k(-4) = 8 - (-4)

==> remove parenthesis

k(-4) = 8 + 4

==> add 8 and 4

k(-4) = 12

Answer:

Step-by-step explanation:

The correct definition of perpendicular lines is option 1: "Two lines that intersect in a way that forms right angles."

When two lines intersect to form four right angles (90-degree angles), they are said to be perpendicular to each other. The point at which the lines intersect is called the point of intersection.

Therefore, option 1 is the correct definitation of perpendicular lines.

Answer: 1. Two lines that intersect in a way that forms right angles.

Step-by-step explanation:

Hope this helped! :)

Answer:

2100

Step-by-step explanation:

area of rectangle = length * width

total area = 80 ft * 15 ft + 30 ft * 30 ft

total area = 1200 ft^2 + 900 ft^2

total area = 2100 ft^2

Answer:

x=2

y=3

Step-by-step explanation:

y=−2x+7

y=5x−7

Set the two equations equal since they are both equal to y

−2x+7 =5x−7

Add 2x to each side

-2x+7+2x = 5x-7+2x

7 = 7x-7

Add 7 to each side

7+7 = 7x-7+7

14 =7x

Divide by 7

14/7 = 7x/7

2 =x

Now find 7

y = 5x-7

y = 5(2) -7

y = 10-7

y = 3

Given that y=y=y,

→ -2x+7 = 5x-7

Let's find the value,

→ -2x+7 = 5x-7

→ 7 = 5x+2x-7

→ 7 = 7x-7

→ 7+7=7x

→ 14 = 7x

→ x = 14/7

→ [x = 2]

Then we can find 7,

→ y = 5x-7

→ y = 5(2) -7 y = 10-7

→ [y = 3]

This is required answer.

Answer:

~181 containers filled completely, 6 eggs left over

Step-by-step explanation:

2178 ÷ 12 (a dozen, the number of eggs per container) = 181.5 containers

181 × 12 = 2,172 eggs

2,178 eggs - 2,172 = 6 eggs left over

Resources that are available in limited quantities on the earth are called Exhaustible resources.

The resources which are present in limited amounts are referred to as exhaustible resources. These resources can be consumed and end someday and are also termed non-renewable resources.

Exhaustible natural resources are available in a limited quantity and cannot be replaced within a reasonable period of time and have the risk of being exhausted by human activities. Such Resources take millions of years to form.

Exhaustible resources are usually not environmentally friendly since they are improperly and inefficiently used and are generally very expensive.

Coal, petroleum, and Forests are examples of exhaustible natural resources.

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