Which expression is equivalent to 4 ( y + 2 ) − 3 y ?

A. ( 4 + 8 − 3 ) y

B. ( 4 − 3 ) y + 2

C. ( 4 + 2 − 3 ) y

D. ( 4 − 3 ) y + 8

Step-by-step explanation:

the volume of any pyramid is

base area × height / 3

so, since we know the base area (a square with 23 mm side length), the only trick we need to do is to get the inner height (straight up in the middle from the base area to the top of the pyramid).

because this is a regular pyramid (the top of the pyramid is right above the middle of the base area), we can use Pythagoras for right-angled triangles

c² = a² + b²

with c being the Hypotenuse (the baseline of the triangle opposite of the 90° angle) and in our case the outer height along a side area triangle (24 mm).

the legs of that right-angled triangle are half of a base area side length (remember, the top of the pyramid is right over the middle of the base area square) and the inner height to the top.

so, we have

24² = 12.5² + height²

height² = 24² - 12.5² = 576 - 156.25 = 419.75

height = 20.48780125... mm

so, the volume of the pyramid is then

23² × 20.48780125... / 3 = 3,612.682287... mm³ ≈

≈ 3,612.7 mm³

Answer:

A = 18

Step-by-step explanation:

A = b*h/2

A = 9*4 /2

A = 36/2

A = 18

Answer:

a) Jill ended her scooter ride at her house.

Step-by-step explanation:

Answer: to calculate the area you multiply L x W x H

Step-by-step explanation:

Answer:

A. -18

Step-by-step explanation:

» Application

To find the value of f(-2), we have to plug in the value of -2 for each x in the equation.

» Solution

Thus, f(-2) = A. -18.

Answer:

-6y^4 - 7y^2

Explanation:

Distribute y2 with -4y2 and 7

-4y4 - 7y2 - 2y4

Combine the like terms, -4y4 and 2y4

-6y4 - 7y2

Answer:

1/6

Step-by-step explanation:

cube = 1 in 6

coin = 1 in 2

3 or 5 = 2 in 6

1 in 3

1 in 3 x 1 in 2 = 1 in 6

1/6

Answer:

There is 166.1 grams of sugar in 5.5 yards of licoroce

Step-by-step explanation:

If 1.5 yards of licorice = 45.3 grams of sugar

5.5 yards of licorice = x

Cross multiply:

45.3grams * 5.5yards / 1.5yards

= 249.15 grams/yards / 1.5yards

= 166.1 grams of sugar

Answer:

  1 7/8 quarts

Step-by-step explanation:

The amount Yuan has left can be found by multiplying the original amount by the fraction he has left.

__

After using 1/2 of the broth for soup, the fraction remaining is ...

  1 -1/2 = 1/2

The amount Yuan used for gravy is 1/4 of this, or ...

  (1/4)(1/2) = 1/8 . . . of the original amount of broth

The total fraction Yuan used was ...

  fraction used = fraction for soup + fraction for broth = 1/2 +1/8 = 5/8

Then the fraction remaining is ...

  fraction remaining = 1 - fraction used = 1 - 5/8 = 3/8.

The amount remaining is this fraction of the original amount:

  (3/8)(5 quarts) = 15/8 quarts = 1 7/8 quarts . . . . remaining

Answer:

37.5%

Step-by-step explanation:

Let's consider the percentage as 'x'

[tex]72 * \frac{x}{100} = 27\\\\x = \frac{27 * 100}{72} \\x = 37.5%[/tex]

The increase in the percentage that they experience over these first two years will be 12.5%. Then the correct option is D.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.

A swim team has 80 swimmers in the first year and 90 swimmers in the second year.

Then the increase in the percentage that they experience over these first two years will be

P = (90 - 80)/80 x 100

P = 10/80 x 100

P = 0.125 x 100

P = 12.5%

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ1

[tex]\boxed{\sf B.~-i}\boxed[/tex]

Answer:

the answer is

45.84

Step-by-step explanation:

a=pi*r^2

Answer:

y alpha 1 /x

y = k / x

( y = ? , x = 2, k = 5 )

y = 5 /2

y = 2.5

The value of a, b, c, h, k, and foci coordinates are 4, 3, 5, 2, -1, and (5, 0) and (-5, 0) respectively.

It's a two-dimensional geometry curve with two components that are both symmetric. In other words, the number of points in two-dimensional geometry that have a constant difference between them and two fixed points in the plane can be defined.

We have given a hyperbola equation:

[tex]\rm \dfrac{(x-2)^2}{16}-\dfrac{(y+1)^2}{9}=1[/tex]

We know the standard form of a hyperbola is given:

[tex]\rm \dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1[/tex]

After comparing:

a² = 16 ⇒ a = 4

b² = 9 ⇒ b = 3

[tex]\rm c^2 = a^2+b^2\\\\\rm c^2 = 16+9 \Rightarrow 25[/tex]

c = 5

(h, k) is the center of the hyperbola:

(h, k) = (2, -1)

Vertices will be (a, 0) and (-a, 0):

(4, 0) and (-4,0)

Foci will be at (c, 0) and (-c, 0):

(5, 0) and (-5, 0)

Thus, the value of a, b, c, h, k, and foci coordinates are 4, 3, 5, 2, -1, and (5, 0) and (-5, 0) respectively.

Learn more about the hyperbola here:

brainly.com/question/12919612

#SPJ1

The value of a=4 , b=3 , k=-1 and h=2 for the hyperbola having the equation

[tex]\dfrac{(x-2)^2}{16}-\dfrac{(y+1)^2}{9}=1[/tex]

A hyperbola is the symmetrical open curve formed by the combination of a circular cone with a plane at a minimum angle with its axis than the side of the cone.

Here the general form of the equation of hyperbola will be:

[tex]\dfrac{(y-k)^2}{b^2}-\dfrac{(x-h)^2}{a^2}=1[/tex]

And we have a equation given as:

[tex]\dfrac{(x-2)^2}{16}-\dfrac{(y+1)^2}{9}=1[/tex]

By comparing the equation we the solutions

[tex]a=4 , b=3 , k=-1 \ and\ h=2[/tex]

To know more about hyperbola follow

https://brainly.com/question/2351925

#SPJ1

Answer:

For the first question

[tex]x = 2 \: cm[/tex]

For the second question

[tex]x = 6 \: cm[/tex]

Step-by-step explanation:

To find the value if x in both equation we have to use the Pythagorean Theorem which states that:

[tex] {a}^{2} = {b}^{2} + {c}^{2} [/tex]

a being the hypothenus*

Therefore for the first question we know that

[tex]a = x \: \: \: b = 1.6 \: \: \: \: c = 1.2 \\ so ... \: \: {x}^{2} = {1.6}^{2} + {1.2}^{2} \\ {x}^{2} = 2.56 + 1.44 \\ {x}^{2} = 4 \\ \sqrt{ {x}^{2} } = \sqrt{4} \\ x = 2 [/tex]

For the second question we know that

[tex]a = 6.5 \: \: \: b = 2.5 \: \: \: c = x \\ {6.5}^{2} = {2.5}^{2} + {x}^{2} \\ 42.25 = 6.25 + {x}^{2} \\ 42.25 - 6.25 = {x}^{2} \\ 36 = {x}^{2} \\ \sqrt{36} = \sqrt{ {x}^{2} } \\ 6 = x[/tex]

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. The probability that exactly 8 tails occur is 0.1963.

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,

P(x) = ⁿCₓ (pˣ) (q⁽ⁿ⁻ˣ⁾)

Where,

x is the number of successes needed,

n is the number of trials or sample size,

p is the probability of a single success, and

q is the probability of a single failure.

The probability of a tail occurring is 0.5, while the probability of a tail, not coming is 0.5, therefore, we can write p=0.5 and q=0.5.

Now, the probability of exactly 8 tails occurring can be written as,

P(X=8) = ¹⁶C₈ (0.5)⁽⁸⁾ (0.5)⁽¹⁶⁻⁸⁾

P(X=8) = 12,870 (0.5)¹⁶

P(X=8) = 0.1963

Hence, the probability that exactly 8 tails occur is 0.1963.

Learn more about Binomial Distribution:

https://brainly.com/question/14565246

#SPJ1

Answer:

What are the options? We need to see the options to be able to answer the question :)

Step-by-step explanation:

I'll edit this once you add the scenarios

Answer:

answer = 90

Step-by-step explanation:

General equation:  a = k*b^2

Specifically:          10 = k*(3)^2 = 9 k

Solving for k:  k = 10/9

Then a = (10/9)b^2.    If b = 9, then a = (10/9)(9)^2 = 90 (answer)

Answer:

The percentage change in volume between cylinder A and cylinder B is 50% Step-by-step explanation:

Step-by-step explanation:

The volume of a cylinder is given by the formula

V= πr^2h

For cylinder A, where r = 7 and h = 5 , pi = 22/7

V= π *7^2 * 5

V= π * 49 * 5

V = 769.69 cubic inch

For cylinder B

V = 490Pi

V = 153 cubic inch

The percentage change in volume between cylinder A and cylinder B

=[ (VA-VB)/VB] *100

=(1539.3804-769.69)/1539.3804

= 0.5000 100

= 50%

Answer:

g(x) = -8x + 48

Answer:

Below in bold.

Step-by-step explanation:

f(x)=2x^3-3x^2

Finding the derivative and equating to zero:

f'(x) = 6x^2 - 6x = 0

6x(x - 1) = 0

So there are turning point at x = 0 and 2 = 1.

Finding the relative maximum:

Second derivative is negative when we have a maximum value:

f"(x) = 12x - 5

- which is negative when  x = 0.

So the relative maximum is at x = 0 where f(x) = 2(0)^3 - 3(0)^2 = 0.

At x = 1, second derivative  = 12(1) - 5 = +7 so this is a relative  minimum.

The function is increasing  in interval -∝ < x < 0

decreasing in interval 0 < x < 1

then increasing in interval   1 < x < ∝

Answer:

[tex]\sf x^2 + \boxed{\sf 5} \ x - \boxed{\sf 14}[/tex]

Explanation:

Given zero's of a polynomial function:

Answer:

y = x² + 5x - 14

Step-by-step explanation:

If the zeros of a polynomial are 2 and -7, then:

⇒ x = 2  ⇒  (x - 2) = 0

⇒ x = -7  ⇒  (x + 7) = 0

Therefore, we can write the polynomial as:

y = a(x - 2)(x + 7)   where a is some constant

As the first term of the given polynomial is x², we can say that its coefficient is 1.  Therefore, a = 1

⇒ y = 1(x - 2)(x + 7)

⇒ y = (x - 2)(x + 7)

To write the polynomial in standard form  ax² + bx + c

simply expand the brackets:

⇒ y = (x - 2)(x + 7)

⇒ y = x² + 7x - 2x - 14

⇒ y = x² + 5x - 14

The path to convert coal into electricity is Boiler to Turbine to Generator to Power lines, the correct option is A.

Those fuels which have originated from decayed plants and animals over a long period of time are called Fossil fuels.

The correct path energy follows when coal or oil is burnt to produce electricity is

When coal is fired the heat is used to convert water into steam in a boiler.

The steam at high pressure is sent to turbines.

The steam spins the generator to produce electricity which is then sent to the power lines.

Therefore, the correct path is mentioned in option A.

To know more about Fossil Fuels

https://brainly.com/question/2582135

#SPJ2

The shaded region that is above or below the boundary line of the inequality graph is called a: half-plane.

An half-plane is a graph of a linear inequality which contains the set of possible values of that makes the inequality true.

Thus, the half-plane is the shaded part of the graph of an inequality, which can either be above or below the boundary line.

The shaded region is called the: half-plane.

Learn more about the half-plane of a linear inequality on:

https://brainly.com/question/21726505

#SPJ1

Answer:

[tex]30x^{2} -105x-60[/tex]

Step-by-step explanation:

Foiling.

Answer:

12 feet

Step-by-step explanation:

4 times 3 is 12 and that is how u find area I think

Answer:

16

Step-by-step explanation:

the answer is 16