Solve the given proportion.
X/3 = 6/2
x = [?]

Values are given below as pairs (x,y) where x coordinate is x values in box and y coordinate is y values on box

Graph attached

The solution to the given compound inequality 2x - 3 < x + 2 ≤ 3x + 5 is 5 > x ≥ -3/2

2x - 3 < x + 2 ≤ 3x + 5

solve differently

2x - 3 < x + 2

2x - x < 2 + 3

x < 5

x + 2 ≤ 3x + 5

x - 3x ≤ 5 - 2

-2x ≤ 3

x ≥ 3/-2

x ≥ -3/2

Therefore, the solution of the compound inequality is 5 > x ≥ -3/2

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Answer:

D

Step-by-step explanation:

definitely

By definition of the subtraction of squares, the binomial 49 · x² - 36 have the following two factors: 7 · x + 6, 7 · x - 6 (Correct choices: C, D)

A subtraction of squares is a binomial which satisfies the following property:

a² - b² = (a - b) · (a + b)     (1)

If we know that a² = 49 · x² and b² = 36, then we have the following factors:

49 · x² - 36 = (7 · x - 6) · (7 · x + 6)

By definition of the subtraction of squares, the binomial 49 · x² - 36 have the following two factors: 7 · x + 6, 7 · x - 6 (Correct choices: C, D)

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Answer:

15cm

Step-by-step explanation:

PC = 15

BR = 15

.

............................................

Answer: Add the equations to eliminate k

Step-by-step explanation:

Adding the equations, you get 2b=18, which you can solve for b. Afterward, you can substitute this value of b back into either equation to solve for k.

Answer:

The surface area of the triangular prism is [tex]624cm^{2}[/tex]

Step-by-step explanation:

First find the area of the triangle.

The formula of the area of triangle is: [tex]\frac{1}{2} * h*b[/tex]

h=height

b=base or width.

[tex]\frac{1}{2}*16*12[/tex]

But, since we have two triangles we can skip the [tex]\frac{1}{2}[/tex] because [tex]2*\frac{1}{2} =1[/tex].

[tex]16*12=192[/tex], that is the area of the two triangles combined.

Now let's find the area of the rectangles. I'll start with the diagonal one.

The formula of the area of the rectangle is: [tex]h*b[/tex].

[tex]20*9=180[/tex].

The next rectangle.

[tex]9*16=144[/tex]

The final rectangle.

[tex]12*9=108[/tex]

Now combine all the areas to find the surface area of the triangular prism.

[tex]192+180+144+108=624[/tex]

The surface area of the triangular prism is [tex]624cm^{2}[/tex]

Hope this helps!

If not, I am sorry.

The total cost of 6 wave pool tickets with the discount included would be $73.5.

To calculate the total cost we must multiply the value of each ticket by the number of tickets to be purchased, in this case there are 6:

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The attached image represents the foci of the hyperbola

The equation of the hyperbola is given as:

[tex]\frac{x^2}{625} - \frac{y^2}{3600} = 1[/tex]

Rewrite as:

[tex]\frac{x^2}{25^2} - \frac{y^2}{60^2} = 1[/tex]

A hyperbola is represented as:

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

This means that:

h = 0

k = 0

b = 25

a = 60

Next, calculate c the distance from the center to the focus using:

[tex]c = \sqrt{a^2 -b^2}[/tex]

This gives

[tex]c = \sqrt{60^2 -25^2}[/tex]

Evaluate

[tex]c = \pm \sqrt{2975}[/tex]

This means that:

Foci = (0, -√2975) and (0, √2975)

See attachment for the hyperbola and the foci

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Answer:

7, 3, 2

Step-by-step explanation:

Answer:

Option C,

07, 3, 2

Step-by-step explanation:

Set all zeros to 0

(x-7)=0

x= 7

(x-3)=0

x= 3

(x-2)=0

x= 2

7, 3, 2

Answer:

13

Step-by-step explanation:

square root of 12^2 + 5^2

The expression p+2 will denote the statement given

A variable is a unknown quantity in an equation , which is used to denote the parameter that needs to be determined.

It is given that

the total number of parrots in the jungle and the 2 parrots your neighbor owns

Let p be the total parrots in the jungle

p+2 will denote the statement given

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Answer:

add 2 to each side of the equation

Step-by-step explanation:

x-2=10

To solve for x, we need to add 2 to each side of the equation

x-2+2 = 10+2

x = 12

horizontal transformation 1 unit left.

vertical translation 2 units down.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given:

f(x) = [tex]4^{x}[/tex]

g(x) = [tex]4^{x+1} -2[/tex]

As, we can see that g(x) is shifted left side by 1 unit

So, horizontal transformation 1 unit left.

Now, as 2 is subtracted

So, vertical translation 2 units down.

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Answer:

F(x) = - [tex]\sqrt[3]{x}[/tex]  

Step-by-step explanation:

A square root can only have a positive input for the domain

(The domain is the input for the function)

The cube root can be either negative or positive as an input

F(x) = - [tex]\sqrt[3]{x}[/tex]  can have inputs from negative infinity to infinity

The angle measurements the carpenter needs to cut the carpet to make it fit in his room are 144°, 144°, 144°, 144°, 144°, 90°, and 90°

From the question, we are to determine the angle measurements that the carpenter needs to cut the carpet to make it fit in his room

The diagram shows a heptagon with two of its angles, a right-angle each, and the remaining angles have equal values, x.

First, we will calculate the sum of angles in a heptagon

The sum of angles in a polygon is given by the formula

Sum of angles in a polygon = (n-2)180°

Where n is the number of sides

For a heptagon, n = 7

∴ Sum of angles in a heptagon = (7-2)180°

= 5×180°

= 900°

Now, considering the given diagram, we can write that

x + x + x + x + x + 90° + 90° = 900°

5x + 180° = 900°

5x = 900° - 180°

5x = 720°

x = 720°/5

x = 144°

Hence, the angle measurements the carpenter needs to cut the carpet to make it fit in his room are 144°, 144°, 144°, 144°, 144°, 90°, and 90°

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The particle's velocity at time [tex]t[/tex] is equal to the first derivative of its position at that time, and acceleration is the second derivative.

We have

[tex]s(t) = -4\sin(t) - \dfrac t2 + 10 \implies s'(t) = -4\cos(t) - \dfrac12 \implies s''(t) = 4\sin(t)[/tex]

Find when the velocity is zero:

[tex]s'(t) = -4\cos(t) - \dfrac12 = 0 \implies \cos(t) = -\dfrac18 \implies t = \cos^{-1}\left(-\dfrac18\right) \approx 1.696[/tex]

At this time, the acceleration of the particle is approximately

[tex]s''(1.696) \approx \boxed{3.969}[/tex]

(B)

Answer:

f(x)=f(6)= 6^2 - 2*6=36-12=  24

Step-by-step explanation:

This is a function, so we replace x with 6. When we do this, we use it to replace x in the above equation, so instead of having x^2-2x, we have 6^2 -2x. Then we just solve the equation, leaving us with the final solution of 24.

Answer:

[tex]4^{-5}[/tex]

Step-by-step explanation:

using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] , then

[tex]\frac{4^{3} }{4^{8} }[/tex] = [tex]4^{(3-8)}[/tex] = [tex]4^{-5}[/tex]

Answer:

b.) Subtracting 5 then dividing both sides by -2

Step-by-step explanation:

Given expression:

⇒ -2x + 5 = 9

To solve this equation, first we need to remove the 5 on the left side. Then divide both sides by -2.

When done so:

⇒ -2x = 9 - 5

⇒ -2x = 4

⇒ -2x/-2 = 4/-2

⇒ x = -2

The value of the variable is 4√5. Then the correct option is C.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The similar triangles are shown in the diagram.

16 / x = x / 5

    x² = 16 × 5

      x = 4 √5

Then the value of the variable is 4√5.

Then the correct option is C.

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The option second "P(Male or Type B) > P(Male |Type B)" is correct because P(Male or Type B) is 0.675 and P(Male |Type B) is 0.11.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have a table:

            Male      Female

Type A    65       85

Type B    38         12

Male type B =  Type B Male/Total Male

Female type B =  38/(65+38) = 12/103 = 0.11

Male or Type B= Male + Type B female/ total

= 103+12/(97+103)= 135/200 = 0.675

P(Male or Type B) > P(Male |Type B)

Thus, the option second "P(Male or Type B) > P(Male |Type B)" is correct because P(Male or Type B) is 0.675 and P(Male |Type B) is 0.11.

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cos N = 14/20 = 0.70

First blank: Side-Angle-Side similarity postulate

Second blank: proportional

Answer:

10 is the answer. hj is 10

Answer: Add the equations to eliminate k

Step-by-step explanation:

Adding the equations together, we get 2b=18.

The area of triangle ABC from the given vertices is gotten as; 7.5

We are given the vertices of the triangle as;

A(1, 2)

B(4, 0)

C(1,-4)

The formula for area of a triangle with 3 vertices is;

Area = ¹/₂[x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)]

Thus;

Area = ¹/₂[1(0 + 4) + 4(-4 - 1) + 1(1 - 0)]

Area = ¹/₂(4 - 20 + 1)

Area = -7.5

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