What is the total surface area of this square pyramid?

The equation [tex]2x^{3} -10x^{2} -12x[/tex] has 2 and x in common. This means you can factor both the 2 and x out of the equation like so...

2x([tex]x^{2} -5x-6[/tex])

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

2x(x - 6)(x + 1)

Step-by-step explanation:

Given

2x³ - 10x² - 12x ← factor out 2x from each term

= 2x(x² - 5x - 6)

To factor the quadratic

Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (- 5)

The factors are - 6 and + 1, since

- 6 × 1 = - 6 and - 6 + 1 = - 5, thus

x² - 5x - 6 = (x - 6)(x + 1) and

2x³ - 10x² - 12x = 2x(x - 6)(x + 1) ← in factored form

[tex]\bf \begin{cases} \boxed{y}=\log(2x+1)\\ y=3x-2 \end{cases}\qquad \stackrel{\textit{doing substitution on the 2nd equation}}{\boxed{\log(2x+1)}=3x-2}[/tex]

a quick note, I must say that writing y₁ and y₂ is a bit misleading, since it makes it appear as if they're two different variables, when they're the same one.

Answer:

B

Step-by-step explanation:

B) y1=log(2x+1), y2=3x-2

Answer:

(1/6)^3 = 1/216, these events are independent.

Step-by-step explanation:

What happens in one roll has no effect on the other rolls, so these events are independent. The probility of any roll outcome is 1/6 since there are 6 sides. Since you want to roll a 6 AND a 5 AND a 4 you have to multiply the probabilities.

Answer:

(x−8)2+C−64(x-8)2+C-64

Answer:

z = 110°

Step-by-step explanation:

Since the figures are similar, then corresponding angles are congruent, thus

∠H = ∠D, that is

z = 110°

Since the figures are similar, then corresponding angles are congruent, thus

ABCD ~ EFGH

∠H = ∠D, that is

z = 110°.

Two angles in one triangle are equal to two angles in another triangle, then the triangles are similar

Congruent angles are the angles that have equal measure. So all the angles that have equal measure will be called congruent angles. They are seen everywhere, for example, in equilateral triangles, isosceles triangles, or when a transversal intersects two parallel lines

There are many theorems based on congruent angles. Using the congruent angles theorem we can easily find out whether two angles are congruent or not. Those theorems are listed below:

To learn more about the Congruent angle, refer

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For this case we must find the product of the following expression:

[tex]\sqrt [3] {5} * \sqrt {2}[/tex]

By definition of properties of powers and roots we have:

[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]

We rewrite the expression using the lowest common index of 6, then:

[tex]5 ^ {\frac {1} {3}} * 2 ^ {\frac {1} {2}} =[/tex]

We rewrite the terms in an equivalent way:

[tex]5 ^ {\frac {2} {6}} * 2 ^ {\frac {3} {6}} =[/tex]

We rewrite the expression using the property mentioned:

[tex]\sqrt [6] {5 ^ 2} * \sqrt [6] {2 ^ 3} =[/tex]

We combine using the product rule for radicals:

[tex]\sqrt [n] {a} * \sqrt [n] {b} = \sqrt [n] {ab}[/tex]

So:

[tex]\sqrt [6] {5 ^ 2 * 2 ^ 3} =\\\sqrt [6] {25 * 8} =\\\sqrt[6]{200}[/tex]

ANswer:

Option b

Answer:

SA = 1099 square inches.

Step-by-step explanation:

Just plug into the formula

SA = 2pir^2 + 2pi r h where pi = 3.14, r = 5 and h = 30

SA = 2 (3.14) (5^2) + 2 (3.14)(5)(30)

SA = 157 + 942

SA = 1099 square inches.

Answer:

1099.56 or 1099.6 dependong on what you wanna round to

Step-by-step explanation:

2×pi×5^2+2×pi×5×30

Hello There!

First we have to see how much does Gigi earns per hour.

For gardening, we are going to divide.

65 ÷ 5 ≈ 13

Gigi earns $13 for gardening for only 1 hour.

Second, we have to see how much Gigi earns per hour for office work.

We will divide

90 ÷ 9 ≈ 10

Now, we can see that Gigi earned $3 more per hour for gardening than for office work.

Answer: You can use it because the value of the integers tell you where a point might be located.

Hope this helps!

Answer:

your line goes through both (0,6) and (12,0)

Step-by-step explanation:

Ok so you are describing some lines you see I think:

I see some of these as points you mentioned:

(0,6)  ,  (0,-6)  , (6,0)

So let's see which of these work:

(0,6)?

2(0)+4(6)=24

        24=24

(0,6) does work!

The other point you have listed with (0,6) is (12,0).

Let's try (12,0)

2(12)+4(0)=24

24+0=24

24=24

(12,0) works!

So your line goes through both (0,6) and (12,0)

Answer:

The correct option is A) Line through the point (0,6) and (12,0).

Step-by-step explanation:

Consider the provided equation 2x + 4y = 24.

Substitute x = 0 in the provided equation.

2x + 4y = 24

2(0) + 4y = 24

4y = 24

y = 6

Thus, the points which satisfy the equation is (0,6).

Now, substitute x = 12 in the provided equation.

2x + 4y = 24

2(12) + 4y = 24

24 + 4y = 24

4y = 0

y = 0

Thus, the points which satisfy the equation is (12,0).

Therefore, the correct option is A) Line through the point (0,6) and (12,0).

Answer:

x = k/-4

Step-by-step explanation:

Answer:I got it wrong the answer is actually x=-4/k

Step-by-step explanation:

Apex approved

Answer:

40°

Step-by-step explanation:

In any circle the following ratios are equal

let x be the measure of the central angle, then

[tex]\frac{arc}{circumference}[/tex] = [tex]\frac{x}{360}[/tex]

circumference = 2πr = 2π × 18 = 36π, so

[tex]\frac{4\pi }{36\pi }[/tex] = [tex]\frac{x}{360}[/tex], that is

[tex]\frac{1}{9}[/tex] = [tex]\frac{x}{360}[/tex] ( cross- multiply )

9x = 360 ( divide both sides by 9 )

x = 40

Hence central angle = 40°

Approximately 18.42% of the beef production annually worldwide comes from the U.S.

In the U.S., 12.0 million metric tons of beef are produced annually, while worldwide beef production is 65.1 million metric tons.

To find the percentage of beef produced in the U.S. compared to worldwide production, you can divide the U.S. beef production by the worldwide beef production and multiply by 100.

Percentage = ( U.S. beef production / Worldwide beef production ) x 100 = ( 12.0 million / 65.1 million ) x 100 = 18.42%.

Therefore, approximately 18.42% of the beef produced annually in the world is from the U.S.

Learn more about beef production here:

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Units are written in bracelets.

[tex]F=ma \: \{kg\cdot\dfrac{m}{s^2}\}[/tex]

[tex]F=ma \: \{\boxed{\dfrac{kg\cdot m}{s^2}}=N\}[/tex]

Hope this helps.

r3t40

Answer:

Step-by-step explanation:

Force is defined as a function of mass (denoted by m) and acceleration (denoted by a) using this formula F=ma

units for mass m is kg

units for acceleration is metre/sec^2

Hence together we can write unit as

unit for force = [tex]Kg m/sec^2[/tex]

This can also be expressed as newtons

Unit for force = newtons also.

Hello There!

It could not be C because there corresponding angles could not be congruent.

It also could not be B all the sides are proportional to each other.

I don’t think it could be D because that’s similar as well.

The only option that makes sense is “C”

Answer:

The equation is [tex]10x+35 =5x+40[/tex]

Step-by-step explanation:

Let

x --> the charge per hour to ski  

y ---> the total charge for ski

we know that

Bunny Hill Ski Resort

[tex]y=10x+35[/tex]----> equation A

Black Diamond Ski Resort

[tex]y=5x+40[/tex] ----> equation B

equate equation A and equation B

[tex]10x+35=5x+40[/tex]

solve for x

[tex]10x-5x=40-35[/tex]

[tex]5x=5[/tex]

[tex]x=1\ hour[/tex]

Find the value of y

[tex]y=10(1)+35=\$45[/tex]

therefore

At point (1,45) the cost of both ski resort is the same

Answer:

1,110 is a cluster because it’s a very large number for 52 degrees and 189 is because it’s a very large number for 16 degrees.

Step-by-step explanation: I'm happy to help...

Answer:

It will be any graphs that show a parallel line relationship.

Explanation:

Any graph that shows parallel lines will always be no solution.

Answer:

It have to be a graph that shows functions that doesn't have points in common. The figure show some examples.

Step-by-step explanation:

The volume of a prism is:

V = AH

where A is the area of the base and H is the height.

The base is a triangle, so the area is:

A = 1/2 b h

We know that b = 3.  To find h, we can split the triangle in half.  Then we can either use Pythagorean theorem to find h, or properties of a 30-60-90 triangle.

The short leg is 3/2, so the height is 3/2 √3.

A = 1/2 (3) (3/2 √3)

A = 9/4 √3

Therefore:

V = (9/4 √3) (6)

V = 27/2 √3

Answer:

Step-by-step explanation:

2.5, 3.8

To determine the time(s) when the ball is at a height of 150ft, we can substitute h = 150 and solve the quadratic equation -16t^2 + 100t = 150. By using the quadratic formula, we find two possible values for t: t = 3.75 seconds and t = 2.5 seconds.

The equation given in the question is h = -16t2 + v0t, where h is the height, t is the time, and v0 is the initial velocity. To determine the time(s) when the ball is at a height of 150ft, we can substitute h = 150 and solve for t.

150 = -16t2 + 100t

Rearranging the equation, we get 16t2 - 100t + 150 = 0. This is a quadratic equation which can be solved using the quadratic formula.

The quadratic formula is t = (-b ± √(b2 - 4ac)) / (2a). In this equation, a = 16, b = -100, and c = 150.

Plugging in these values, we get t = (100 ± √(1002 - 4 * 16 * 150)) / (2 * 16).

Simplifying further, we have t = (100 ± √(10000 - 9600)) / 32.

This simplifies to t = (100 ± √400) / 32.

Taking the square root, we get t = (100 ± 20) / 32.

This gives us two possible values for t: t = (100 + 20) / 32 = 120/32 = 3.75 and t = (100 - 20) / 32 = 80/32 = 2.5.

Therefore, the ball is at a height of 150ft at two times: t = 3.75 seconds and t = 2.5 seconds.

4x-22=62+2x

4x-2x=62+22

2x=84

x=84/2= 42

x= 42 is the answer

[tex]x=42[/tex]

Move the variables to one side and the constants to the other. [tex]4x-2x=62+22[/tex]

Combine the variables. [tex]2x=62+22[/tex]

Combine the constants. [tex]2x=84[/tex]

Divide both sides by 2. [tex]x=42[/tex]

[tex]\bf 2y=-6x+8\implies y=\cfrac{-6x+8}{2}\implies y=\cfrac{-6x}{2}+\cfrac{8}{2} \\\\\\ y=-3x+4\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-3\implies -\cfrac{3}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{1}{3}}\qquad \stackrel{negative~reciprocal}{+\cfrac{1}{3}\implies \cfrac{1}{3}}}[/tex]

Answer:

B

Step-by-step explanation:

The common ratio in this case, is something that is going to make the geometric sequence go down. Your will make it go up.

Common ratio = second term / first term

common ration = 125/625 = 25/125 which is obtained by dividing both top and bottom of the fraction by 5.

Its not the best possible answer, but it is the best among those given.

Answer:

1/5

Step-by-step explanation:

Notice that 125 is 1/5 th of 625; 25 is 1/5 th of 125; 5 is 1/5 of 25, and so on.

Thus, the common ratio is 1/5.

\

Answer:(x^2+y^2)^2=(x^2+y^2)(x^2+y^2)

Step-by-step explanation:

We can rewrite left side into right side form

(x^2+y^2)^2=(x^2+y^2)(x^2+y^2)

we can expand it

(x^2+y^2)^2=x^4+x^2y^2+x^2y^2+y^4

(x^2+y^2)^2=x^4+y^4+2x^2y^2

we can add and subtract 2x^2y^2

(x^2+y^2)^2=x^4+y^4+2x^2y^2+2x^2y^2-2x^2y^2

(x^2+y^2)^2=x^4-2x^2y^2+y^4+2x^2y^2+2x^2y^2

(x^2+y^2)^2=x^4-2x^2y^2+y^4+4x^2y^2

(x^2+y^2)^2=x^4-2x^2y^2+y^4+(2xy)^2

(x^2+y^2)^2=(x^2-y^2)^2+(2xy)^2

The Pythagorean triple generator typically involves an algebraic formula where variables m and n are used to generate the sides of a right triangle such that a^2 + b^2 = c^2, with a common formula being a = m^2 - n^2, b = 2mn, and c = m^2 + n^2 for positive integers m and n.

The form of the Pythagorean triple generator refers to a set of algebraic formulas that produce Pythagorean triples, which are sets of three positive integers (a, b, c) that satisfy the condition of the Pythagorean theorem (a^2 + b^2 = c^2) for a right triangle.

One well-known formula to generate these triples is given by:

where m and n are positive integers with m > n. This formula will produce a Pythagorean triple as long as m and n are coprime and not both odd. It's important to note that not all Pythagorean triples can be generated by this formula, but it is a very common method of finding such triples.

Answer with explanation:

1.→→→ 3x-5y=15------(1)

6 x-10 y=30----(2)

Line 2 =2 * Line 1

These two lines are coincident.

Dependent

2.→→→ -2 x+4 y=-6-------(1)

Dividing both sides by , 2 we get

-x+2y= -3-----------------(1)

x+6 y=3------------(2)

These two are distinct lines ,it means they have a common point of intersection.

Consistent, and Independent

3.→→→

x-4y = -12-----------------(1)

3x-12 y= -9--------------(2)

Equation (2)=3 * Equation (1)

These two lines are coincident.

Dependent

4.→→→

3 x+y=3------(1)

6x+2y=-4------(2)

Dividing both sides by ,2 we get

3 x+y= -2

Both lines have distinct y intercepts that is ,3 and -2,but coefficient of x and y are equal. So, they are parallel lines.

Inconsistent

1.→→→ 3x-5y=15------(1)

6 x-10 y=30----(2)

Line 2 =2 * Line 1

These two lines are coincident.

Dependent

2.→→→ -2 x+4 y=-6-------(1)

Dividing both sides by , 2 we get

-x+2y= -3-----------------(1)

x+6 y=3------------(2)

These two are distinct lines ,it means they have a common point of intersection.

Consistent, and Independent

3.→→→

x-4y = -12-----------------(1)

3x-12 y= -9--------------(2)

Equation (2)=3 * Equation (1)

These two lines are coincident.

Dependent

4.→→→

3 x+y=3------(1)

6x+2y=-4------(2)

Dividing both sides by ,2 we get

3 x+y= -2

Both lines have distinct y intercepts that is ,3 and -2,but coefficient of x and y are equal. So, they are parallel lines.

Answer:

[tex]\large\boxed{\dfrac{9}{12}\neq\dfrac{5}{20}\ \text{and}\ \dfrac{9}{12}\neq\dfrac{16}{24}}[/tex]

Step-by-step explanation:

[tex]\dfrac{9}{12}=\dfrac{9:3}{12:3}=\dfrac{3}{4}\\\\\dfrac{24}{32}=\dfrac{24:8}{32:8}=\dfrac{3}{4}\\\\\dfrac{6}{8}=\dfrac{6:2}{8:2}=\dfrac{3}{4}\\\\\dfrac{5}{20}=\dfrac{5:5}{20:5}=\dfrac{1}{4}\\\\\dfrac{16}{24}=\dfrac{16:8}{24:8}=\dfrac{2}{3}[/tex]

Answer:

6/8

Step-by-step explanation:

Answer:

He needs 3.75 lbs of sugar and 1.25 lbs of water.

Step-by-step explanation:

Let x lbs be the amount of sugar in the syrup. Then 5-x lbs is the amount of water in this syrup.

Note

5 lbs - 100%

x lbs - 75%

Write a proportion:

[tex]\dfrac{5}{x}=\dfrac{100}{75}[/tex]

Cross multiply:

[tex]100x=5\cdot 75\\ \\100x=375\\ \\x=\dfrac{375}{100}=3.75[/tex]

So, he needs 3.75 lbs of sugar and 5 - 3.75 = 1.25 lbs of water.

Answer:

3.75 lbs of sugar and 1.25 lbs of water

Step-by-step explanation:

:)

Answer:

y=3x-7

Step-by-step explanation:

Two points on the line are (3,2) and (4,5) using the slope equation, 5-2/4-3=3/1

y-2=3(x-3)

(2+) y-2=3x-9(+2)

y=3x-7

Answer:

23rd hours

Step-by-step explanation:

This is problem based on arithmetic progression in which our first term is 45 , and the common difference is -2

we have to find the n when the nth term is 2.

The formula for nth term of an AP is

[tex]a_{n}=a+(n-1)d[/tex]

replacing the  values in the formula

[tex]a_{n}=a+(n-1)d\\2=45+(n-1)(-2)\\2=45-2(n-1)\\-43=-2(n-1)\\21.5 = n-1\\n=22.5\\[/tex]

hence at 22.5 hours it will reach 2F or we can say that after 23 hours the temperature will be below 2F

The prime factorizations of the numbers are

[tex]110 = 2\times 5 \times 11,\quad 40= 2^3\times 5,\quad 120=2^3\times 3\times 5[/tex]

The greatest common factor is composed by all common primes, taken with the lowest exponent possible. In this case, it will be

[tex]2\times 5 = 10[/tex]