Graph the following function, provide domian and range in SET NOTATION. I REALLY need help with the set notation part. I have completed graphing it by assigning x = 2 and x = -2 and x = 4 and x = 5 to plot some points. But I am struggling with the set notation. y=[1/2x]+1

Answer:

C. 1/1,000

Step-by-step explanation:

yes or no ?

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2.

.

I hope it helps you

Answer:

Step by step explanation:

Given that,

\(f(x) = {x}^{2} \)

\(g(x) = x - 1\)

Solution:

Solving for (f•g)(x):

\( = f(x) \cdot g(x)\)

Now substitute the given values.

\( = x {}^{2} \cdot(x - 1)\)

\( = x {}^{2} (x - 1)\)

Apply distributive property:

\( = (x ^{2} \cdot x) - x {}^{2} \cdot 1\)

Hence,f•g(x) will be \( x {}^{3} - x {}^{2}\).

Answer:

0.5 miles

Step-by-step explanation:

...

The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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Answer:

7.5 minutes

Hope I helped

Answer:

12 minutes

Step-by-step explanation:

10 miles : 4 miles : : 30 miles : x

10 : 4 : : 30 : x

10 / 4 = 30 / x

5 / 2 = 30 / x

5 * x = 2 * 30

5x = 60

x = 60 / 5

x = 12

Therefore,

Parrot would take 12 minutes to fly 4 miles.

2z ÷ [z – (z – 4)]

Sub z=8 into the expression

2(8) ÷ [8 – (8 – 4)] = 16 ÷ 4

                             = 4

Answer:

The relationship between the distance that birds fly in relation to the time they do so, is positive.

There are about 3 outliers but for the most part, the relationship is positive.

The graph which shows the distance that birds fly in relation to the time they do, shows that there is a positive relationship because as the time increases, the distance that the birds have flown also increases.

There are some outliers such as the bird that flew 1 mile in 7 hours but in general, as the time increases, the distance increases as well. There are two clusters of distance as well.

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Answer:

7x-6=85

Step-by-step explanation:

7×number for example x

then subtract 6 from that

then you have 85

Answer:

Step-by-step explanation:h

In a case whereby boat is spotted in the water with an angle of depression of 20° from the top of a lighthouse that is 89 feet tall. To the nearest foot,  the distance away  the boat from the base of the lighthouse is \(191 feet\)

The angle of depression is the angle formed by the horizontal line and the horizontal line's observation of the item.

The bottom of the lighthouse bears a triangle with a 90 degree angle. That implies that we can calculate the distance between a boat and the bottom of a lighthouse using trigonometry.

\(tan(25) = \frac{89}{x}\)

\(x = \frac{89}{tan(25)}\)

\(x = 190.86\)

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\( log(550) = log(2 \times 5 \times 5 \times 11) = \\ \)

\( log(2) + log( {5}^{2} ) + log(11) = \)

\(1 - log(5) + 2 log(5 ) + log(11) = \\ \)

\(1 + log(5) + log(11) = \)

\(1 + a + b\)

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Answer:

log(a x b) = Log(550)

Step-by-step explanation:

Depends what question is asking

Log rule (So long as they have the same base)

Log(m) + Log(n) = Log(m x n)

Log(a) + Log(b) = Log(a x b)

Log(5) + Log(11) = Log(5 x 11)

=Log (550)

Answer:The answer would be 6a(4b4 +2b3 -3b2)

Step-by-step explanation:All you have to do is take 6a out of each number and put the 6a outside of parenthesis and put the rest of the equation in parenthesis.

Answer:

The height of the mountain is 2305 feet.

Step-by-step explanation:

Given that:

We are provided with the angles are in degree, minutes and seconds, we are required to convert them back to degrees.

So, 47°57′52″ in degrees only will be :

=\(47^0 + 57 \times \dfrac{1}{60}+ 52 \times \dfrac{1}{3600}\)

= \(47^0 +0.95^0+0.0144^0\)

= 47.9644°

\(\simeq\) 47.96°

For the second angle after he walked a distance if 1374 feet; we have:

73°3′35″

= \(73^0 + 3 \times \dfrac{1}{60} \times 35 \times \dfrac{1}{3600}\)

= \(73^0 + 0.05 ^0 \times 0.0097^0\)

= 73.000485°

\(\simeq\) 73

From the image attached below;

x = 180° - 73° = 107°  ( angles on a striaght line)

107° + 47.96° + y = 180°   ( sum of angles in a triangle)

y = 180° - 107° - 47.96°

y = 25.04

Using sine rule:

\(\dfrac{a}{sin \ 47.96} = \dfrac{1374}{sin \ 25.04}\)

a × sin 25.04 = 1374 × sin 47.96

\(a = \dfrac{ 1374 \times sin \ 47.96} { sin \ 25.04 }\)

\(a = \dfrac{ 1020.439} {0.4233}\)

a = 2410.68

From the figure, using trigonometry rule;

\(Sin 73 = \dfrac{h}{a}\)

\(Sin \ 73 = \dfrac{h}{2410.68}\)

h = sin 73 × 2410.68

h = 0.9563 × 2410.68

h = 2305.33 feet

To the nearest whole number , the height is 2305 feet.

The answer is:

g(x + 1) = 6x + 1

g(4x) = 24x -5

Work/explanation:

To evaluate, I plug in x + 1 into the function:

\(\sf{g(x)=6x-5}\)

\(\sf{g(x+1)=6(x+1)-5}\)

Simplify

\(\sf{g(x+1)=6x+6-5}\)

\(\sf{g(x+1)=6x+1}\)

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

Do the same thing with g(4x)

\(\sf{g(4x)=6(4x)-5}\)

\(\sf{g(4x)=24x-5}\)

Hence, these are the answers.

Answer: (0,3)

x=0 ; y=3

Step-by-step explanation:

To solve the system of equations:

2x + 4y = 12

3x + y = 3

We can use the method of substitution or elimination. Here we will use the substitution method:

From Equation 2, we can isolate y:

y = 3 - 3x

We can substitute this expression for y into Equation 1:

2x + 4(3 - 3x) = 12

Simplifying and solving for x:

2x + 12 - 12x = 12

-10x = 0

x = 0

Now that we have found the value of x, we can substitute it back into either Equation 1 or Equation 2 to solve for y. Here we will use Equation 2:

3(0) + y = 3

y = 3

Therefore, the solution to the system of equations is (x, y) = (0, 3).

This means that the point (0, 3) is the intersection point of the two lines represented by the given equations. To verify this, we can substitute the values of x and y into both equations and see if they are true.

Answer:

Step-by-step explanation: 6.140

A 1.5 standard deviations above the mean IQ score is 122.5.

An expression that depicts the relationship between two or more numbers and variables is called an equation.

A dependent variable is one that depends on another variable, whereas an independent variable does not depend on any other variable for its value.

Giving the z score are:

z is calculated as (raw score - mean) / standard deviation.

with a standard deviation of 15 and a mean of 100. The z-score of 1.5 is equal to the IQ score that is 1.5 standard deviations above the mean, so:

1.5 = (x - 100)/15

x = 122.5

A 1.5 standard deviations above the mean IQ score is 122.5.

The Complete Question is IQ score.

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Answer:

  5/9

Step-by-step explanation:

You want the number of groups of 9/5 that are in 1.

The number of groups can be found by dividing 1 by the group size:

  1/(9/5) = 1 × (5/9) = 5/9

There are 5/9 groups of 9/5 in 1.

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Answer:

The probability that one marble drawn at random is not blue is 70%

Answer: sin(0) = 40.804/41

Step-by-step explanation:

The quotient of the expressions −48.132 and −0.84 will be 57.30. Then the correct option is C.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

Given −48.132 ÷ −0.84.

Then the value of the expression will be

⇒ −48.132 / −0.84

If in the numerator and the denomination, the negative sign is present, then both will cancel out each other.

⇒ 48.132 / 0.84

⇒ 57.30

The quotient of the expressions −48.132 and −0.84 will be 57.30.

Then the correct option is C.

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Answer:

12

Step-by-step explanation:

48 times 2/3 gives you the amount of runners that dropped out in the first half of the race. take that number (32), and subtract it from the original. You should be left with 16. Then take 1/4 of the remaining runners (16 times 1/4, which is 4), and subtract it from 16. this gives you 12

Answer:

V=12m

Step-by-step explanation:

V=l×w×h​

V=3×4×1

V=12m

Answer:

4m*3m*3m - 2m*2m*2m

Step-by-step explanation:

Answer:

"B. 30" Is the correct answer.

Step-by-step explanation:

Just took the quiz, have a wonderful day.

Answer:

B (-1, 6)

Step-by-step explanation:

I took the test.