Given f(x) = √x and g(x) = x+2 find the domain of f(g(x)).
a) (-∞, -3] U (2,00)
b) [0,2) U (2,00)
c) [0,4) U (4,00)
d) (-∞o, 2) U (2,00)
e) None of the above

Answer:

75 students

Step-by-step explanation:

So firstly lets make convert these words to alegbra :

30 people are 40%of the total students at the event meaning that the following equation can be made :

30 = 40% of x    (x is the unknown amount of students there)

30 = 40% * x

30 = 0.4x (we can convert the precentage into a decimal by dividing by 100)

Now that we have the equation that 30 = 0.4x we can evalute it and find x :

30=0.4x

30/0.4=0.4x/0.4 (divide by 0.4 on both sides)

75=x

So thats how we get that 75 students were in the event in total.

A vector is a quantity in physics that has both magnitude and direction. The component form of Vector CD minus vector EF is <5, 8, -4>.

A vector is a quantity in physics that has both magnitude and direction. It is often represented by an arrow whose length is proportionate to the magnitude of the quantity and whose direction is the same as that of the quantity.

The value of the Vector CD can be written as,

[tex]|\vec{CD}| = (0+7)\hat i+(7-2)\hat j+(3-8)\hat k = 7\hat i+5\hat j-5\hat k[/tex]

The value of the Vector EF can be written as,

[tex]|\vec{EF}| = (6-4)\hat i+(-2-(-1))\hat j+(-3-(-2))\hat k = 2\hat i-3\hat j-5\hat k[/tex]

Now,  the component form of Vector CD minus vector EF can be written as,

[tex]\vec{CD} - \vec{EF} = < (7-2) , (5-(-3)) , (-5-(-1)) > = < 5,8,-4 >[/tex]

Hence, the component form of Vector CD minus vector EF is <5, 8, -4>.

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Answer:

the height of the cylinder

Step-by-step explanation:

Answer: 2

Step-by-step explanation: It would have been 1.99949 but rounded to the nearest hundreth is 2 :)

Answer:

The change in expected height for every one additional centimeter of femur length.

Step-by-step explanation:

The slope represents how the value along the y axis is affected by the value along the x axis. So if x = femur length and y = expected height,

the slope is how the expected height is affected by the femur length.

Answer:

9

Step-by-step explanation:

100% = 12

12/4= 3
25%=3

3+3+3=25%+25%=25%= 75%

a. Reflectional symmetry only. The mirror line is vertical along the center of the sunglasses. The left half mirrors over this line to get the right half, and vice versa. There isn't any rotational symmetry because we can't rotate the glasses (some angle between 0 and 360 exclusive of both endpoints) to have the image be the same as the preimage.

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b. Rotational symmetry only. The puzzle can be rotated 90 degrees and the before and after image will be the exact same. There isn't any reflectional symmetry here.

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c. Reflectional symmetry and rotational symmetry. Effectively a combination of parts a) and b). We have a horizontal line of symmetry to go with a vertical one. The angle of rotation is 180 degrees.

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d. Reflectional symmetry and rotational symmetry. Similar to part c). This time the angle of rotation is 360/3 = 120 degrees. There are 3 lines of symmetry and they all pass through a vertex of the triangle, and the symmetry lines are perpendicular to the opposite side.

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e. Reflectional symmetry and rotational symmetry. We can rotate 180 degrees and not change the image. There are two lines of symmetry which pass through the center, one line is horizontal and the other vertical.

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f. Rotational symmetry only. We don't have reflectional symmetry due to the smaller petals not matching up when reflections happen. But we can rotate the figure 120 degrees the same way we can with figure d.

Answer:

  C and D

Step-by-step explanation:

Population density is the ratio of population to area. Its units are persons per square mile. Here, you're being asked to compare the population densities of several countries to the average population density in several US states.

__

The idea of "average population density of the 10 states listed" is somewhat ambiguous. It could mean either of (a) the ratio of the total of the states' population to the total of their land area, or (b) the average of the population densities of the states. (In the attached, we computed both, but the answer remains the same using either number.)

When there are numerous identical calculations to be performed, it is convenient to let a spreadsheet do them. The attached spreadsheet shows the population densities for the 10 states and 5 countries listed.

Depending on how you define it, the average population density of the 10 states is about 10.5 or about 15.7 people per square mile. (15.7 is the average of the density numbers, found using the spreadsheet AVERAGE function.)

__

The 5 countries have population densities ranging from about 7.7 to 236 people per square mile. Two of the countries have density below 10.5, so are the answers to the question asked.

  Canada (C) and Iceland (D) have population density below the US state average.

Answer:

64 mm^2

Step-by-step explanation:

The area of the rectangles is calculated by multiplying width and length:

for the bigger rectangle:

12*48 = 576 mm^2

for the smaller rectangle:

4*16 = 64 mm^2

Answer:

Step-by-step explanation:

First, move the -11/4 to the other side, so the expression can equal 0.

[tex]x^2+6x+11/4=0[/tex]

To make the equation easier to work with, multiply both sides by 4, cancelling out the fraction.

[tex]4x^2+24x+11=0[/tex]

There are many ways to solve a quadratic equation (factoring, quadratic formula, completing the square).

Solving this equation by factoring is the easiest. Factoring with a leading coefficient greater than one can be difficult and there are many ways to accomplish it. The way I'm going to do it is to first find the factors of [tex]4x^2[/tex] and then the factors of 11. And then multiply across, add the middle terms (derived from multiplying) and try to make it equal 24x.

[tex]4x^2[/tex]:      24x         11:

2x         22x          11

2x           2x            1

           24x (works)

I'll then take the factors diagonal. (2x+1)(2x+11)=0

So [tex]x=-\frac{1}{2}, -\frac{11}{2}[/tex]

Answer:

A I think

Step-by-step explanation:

The interest rate you are earning on a bond that has a face value of $1000, a price of $950 and a coupon of $50 is 5.42%

The interest rate is the rate of return on the bond given its face value, coupon payments and price.

Interest rate can be determined using a financial calculator:

Interest rate = 5.42%

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Answer:

3 Is the Radius

Step-by-step explanation:

Diameter is always 2R (R for radius), as they have given us the diameter of 6 we can conclude the answer by forming a simple equations

D=2R

6=2R

3=R

Step-by-step explanation:

A=2πr(r+h)

A=6.28×14mm(+29mm)

A=77.92(14mm+29mm)

A=77.92×43

A=3350.56 mm

Hope it helps

KC

Answer:

a=1/2b, 2a=b

Step-by-step explanation:

Since angle a is 1/2 the size of angle b, a=1/2b and b=2a. In order to get a numeral answer, you need the number of one of the angles.

Answer: y = -2x + 1

Step-by-step explanation:

The formula for slope-intercept form is y = mx + b. Keep y and x as the variables. Replace m with the slope, which can be found by doing rise/run, and replace b with the y-intercept. The y-intercept is the spot where the line intersects the y-axis.

Hope this helps! Have a great day! :)

The expression [tex](\frac{x^a}{x^b})^{a + b} \cdot (x^{b + c})^{b - c} \cdot (x^{c + a})^{c - a}[/tex] is an algebraic expression, and the result of simplifying the expression [tex](\frac{x^a}{x^b})^{a + b} \cdot (x^{b + c})^{b - c} \cdot (x^{c + a})^{c - a}[/tex] is 1

The expression is given as:

[tex](\frac{x^a}{x^b})^{a + b} \cdot (x^{b + c})^{b - c} \cdot (x^{c + a})^{c - a}[/tex]

Apply the power rule of indices

[tex](x^{a-b})^{a + b} \cdot (x^{b + c})^{b - c} \cdot (x^{c + a})^{c - a}[/tex]

Expand the exponents of the expression

[tex]x^{a^2-b^2} \cdot x^{b^2 - c^2} \cdot x^{c^2 - a^2[/tex]

Apply the product rule of indices

[tex]x^{a^2-b^2+b^2 - c^2+c^2 - a^2[/tex]

Collect like terms

[tex]x^{a^2- a^2-b^2+b^2 - c^2+c^2[/tex]

Evaluate the differences

[tex]x^{0-0 - 0[/tex]

This gives

[tex]x^{0[/tex]

Evaluate the exponent

1

Hence, the result of simplifying the expression [tex](\frac{x^a}{x^b})^{a + b} \cdot (x^{b + c})^{b - c} \cdot (x^{c + a})^{c - a}[/tex] is 1

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Answer:

14

Step-by-step explanation:

I took the test.

Answer:

14

Step-by-step explanation: I took the test

Answer:

1/12 inches

Step-by-step explanation:

1/2 = 6/12

then:

7/12 - 1/2

is equivalent to:

7/12 - 6/12 = (7-6)/12

= 1/12

x + 30 = 2x (since angleA = angle D, due to congruency between the two triangles.)

30 = 2x - x

30 = x

hope it helps...!!!

Answer:

275.

Step-by-step explanation:

If you convert 2m into CM you get 200.
If you convert 275 cm into M you get 2.75. So 275cm is bigger.

Answer:

5) 12 pieces for $36

6) 12 pieces for $36

They require the same amount of wood pieces.

Step-by-step explanation:

5)

Sandbox A: ? = 2

one side is 6, the other is 4 + ? = 6, so 6-4= ? and 6 - 4 = 2

now we add up the perimeter: 2 + 2 + 4 + 4 + 6 + 6 = 24ft total

we know that each wood piece = 2 ft so:

24 / 2 = 12 pieces of wood

each piece costs $3, so we multiply...

12 * 3 = $36 for all the wood.

____________

Sandbox B: ? = 4

one side is 6, the other is 2 + ? = 6, so 6 - 2= ? and 6 - 2 = 4

now we add up the perimeter: 2 + 2 + 4 + 4 + 6 + 6 = 24ft total

we know that each wood piece = 2 ft so:

24 / 2 = 12 pieces of wood

each piece costs $3, so we multiply...

12 * 3 = $36 for all the wood.

Answer:

Hundred thousands place.

Answer:

In this case the number 7 would be located in the hundreds of thousands.

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