The domain for the relation below is {x| -6

Answer:

m∠FGE=52.5 degrees

Explanation:

Angle FGE is formed by the intersection of two secants (BG and GD).

The intercepted arcs are BD and FE.

Therefore:

Substitute the given values:

A linear equation for h as a function of time, t, in seconds since it was fired is; h(t) =  (18t + 28) ft

We are given that the Rate of increasing of height is 18 ft/s

We are told that at t = 5 seconds, the height is 118 feet,

This means that;

h(5) = 118 ft

We know that height of rocket is increasing 18 ft for every second passed, and it will also have an initial height.

Thus;

h(t) = 18t + h₀

where;

h₀ is the initial height

Plugging in the relevant values for a height of 5 seconds gives;

118 = (18 * 5) + h₀

h₀ = 118 -90

h₀ = 28 ft

Thus, the equation for the height is;

h(t) =  (18t + 28) ft at a time t seconds.

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When c=0 It's 75 when x= 0 It's 75 when x= 100 It's 100 when x= 200 its 125 when x= 300 its 150

Step-by-step explanation:

For A, The printer would be 75 dollars and each newspaper printed is .25 cents

Answer:

c

Step-by-step explanation:

An improper fraction has the top number bigger or equal to the bottom one.

Therefore in this case 10/10 is an improper fraction.

This can be written as 1, then the whole number representation is 1.

SOLUTION

Given the question, the following are the solution steps to answer the question.

STEP 1: Write the given inequalities

STEP 2: Plot the graph of both inequalities

For the first inequality

For the second inequality

STEP 3: Plot the two inequalities on the graph to get the solution set.

The coordinates of a point in the solution set can be given as:

Answer:

Step-by-step explanation:

First, we'll work on the triangle that's on the left side. We'll find the values of A,B and x.

Using the law of sines, we'll have that:

Solving for A,

Now, since we know that the sum of the interior angles of a triangle is 180°, we'll have that:

Using the law of sines again, we'll get that:

Solving for x,

Now, we'll work on the triangle that's on the right side. We'll find the values of y and z.

Since this is a right triangle (it has a 90° angle), we can say that:

Solving for y,

We can also state that:

Soving for z,

This way, we can conclude that:

Explanation

We have

Because upon solving we have

Therefore, it has no root

The answer is none

Op

From the question,

We are given the equation

First, we will expand the RHS of the equation

This will give

By simplifying the RHS we will get

From the equation above, the terms on the LHS equal to the terms on the RHS

This implies that the equation has infinite number of solutions

That is, if we insert any value the equation will always be true

PART A

1 ounces of chlorine(y) = 0.0078 gallons(x)

y = 0.0078x

PART B

21500 gallons per water = 2.795 ounces of chlorine

The conversion factor from ounces to gallons is 1 fluid ounce = 0.0078125 gallons.

Given: 0.585 ounces of chlorine

           4500 gallons per water

PART A

We know that,

1 ounces of chlorine(y) = 0.0078 gallons(x)

So the equation becomes,

y = 0.0078x

PART B

0.585 ounces of chlorine = 4500 gallons per water

z ounces of chlorine = 21500 gallons per water

z = (21500 × 0.585)/4500

  = 2.795

∴ 21500 gallons per water = 2.795 ounces of chlorine

Therefore, the answers of both parts are as follows:

PART A

1 ounces of chlorine(y) = 0.0078 gallons(x)

y = 0.0078x

PART B

21500 gallons per water = 2.795 ounces of chlorine

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Answer:

With what?

Step-by-step explanation:

Given the figure of marbles:

As shown, the number of marbles = 10

Two marbles are randomly drawn

We will find the probability of drawing two yellow marbles

The probability the first marble is yellow:

The number of yellow marbles = 2

so, the probability the first marble is yellow = 2/10 = 1/5

The first one is NOT placed back into the bag before the second draw

So, the number of marbles = 10 - 1 = 9

The number of yellow marbles = 2 - 1 = 1

So, the probability the second marble is yellow = 1/9

So, the probability of drawing two yellow =

So, the answer will be 1/45

To find the mean of the sample we will sum all the scores and divide by the number of students, therefore

Now, let's use a calculator to solve it, we get

And then

Therefore, the mean of the sample is 79.23

we have the following:

therefore:

therefore, the answer is 5/6

Answer:

THE ANSWER IS C.

I also took the test.

The slope intercept equation of the graph f is y = -1/3x + 5

Slope intercept equation:

The general for of the slope intercept equation is,

y = mx + b

Here,

(x, y) = Every point on the line

m = Slope of the line

b = y-intercept of the line

Given,

Here we have the point (-9, 8) and the line of the graph is perpendicular to the x intercept 6 and y intercept -18.

Now we need to find the slope intercept equation for the graph f.

From the given details, we know that,

The x intercept point (6,0)

Y intercept point (0,-18)

So you are looking for a line perpendicular to a line that passes through the points (6,0) and (0,-18)

The slope of the line going through these points is:

m=(y1-y2)/(x1-x2)

slope of this line = 18/6 = 3

the slope of line perpendicular to this line will have slope of -1/3

( negative reciprocal)

Therefore, the point (-9, 8 ) has the slope = -1/3

Now we can use this slope and the given point (-9,8) to find the y-intercept (b)

y = mx + b

8 = (-1/3)(-9) + b

8 = 9/3 + b

b = 8 - 3

b = 5

Therefore, the equation of the line in point intercept form is:

y = -1/3x + 5

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The value of b is 18.

Here, we are given a triangle as shown in the figure above.

RS = RU

ST = b + 72

and TU = 5b

In triangle TRU, by Pythagoras theorem, we get-

(TU)² = (TR)² + (RU)²

⇒ (5b)² = (TR)² + (RU)²

(TR)² = (5b)² - (RU)²

Similarly, in triangle STR, we will get-

(TR)² = (b + 72)² - (SR)²

Equating the two equations, we get-

(5b)² - (RU)² = (b + 72)² - (SR)²

Since RS = RU,

(5b)² - (RS)² = (b + 72)² - (SR)²

25b² = b² + 72² + 2(72)b

24b² = 5,184 + 144b

b² = 216 + 6b

b² - 6b -216 = 0

Solving this quadratic equation will give us 2 values for b

b = 18 or b = -12

Since length of the side cannot be negative, the value of b will be 18.

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Let's begin by listing out the given information

We will proceed to assume values for x to obtain the y-values (x = -2, 0, 4, 8)

We will plot these points on the graph. We have:

lets take m as slope

x1=4 y1=13 x2=5 y2=16

so we get the slope as 3.

so the answer is 3.

We have

we can reduce the expression

the solution is

Answer:  (10,5) or (14,3) are two possible answers.

Infinitely many answers are possible. Pick one to write as the final answer to your teacher.

=====================================================

Explanation:

Focus on the points B(1,4) and C(5,2)

More specifically, focus on the x coordinates 1 and 5. To go from B to C, we move to the right 4 units since 1+4 = 5

We also move down 2 units since we go from y = 4 to y = 2

In short, the translation motion is "right 4, down 2". We can further abbreviate this into the vector notation <4, -2>. This translation vector only applies going from B to C.

The vector notation <4,-2> is the same as writing [tex](x,y) \to (x+4,y-2)[/tex] but the first method is much faster to write out since it avoids needing to write x or y.

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

Now if we want to construct a similar triangle A'B'C', we will use that vector to scale it up or down. Let's scale it up and double each coordinate.

<4, -2> doubles to <8,-4>

So instead of "right 4, down 2" we now follow the path "right 8, down 4". Take notice how both motions involve the same slope.

Start at B'(2,9) and move right 8 and down 4 to arrive at C'(10,5)

See figure 1 below.

This is one possible answer out of infinitely many. This is because we can change the scale factor to any nonnegative real number we want.

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

Another example:

Instead of doubling the coordinates of the translation vector, let's triple them.

<4,-2> triples to <12,-6>

Then start at B'(2,9) and move right 12 and down 6 to arrive at C'(14,3) which is another possible answer out of infinitely many.

See figure 2 below.

Pick whichever of (10,5) or (14,3) is your favorite to get the final answer, assuming your teacher wants you to write one (x,y) location only. Or pick some other scale factor (other than 2 or 3) and follow the same idea to get some other possible location of point C'.

Answer:

C' = (10, 5)

Dilation by a scale factor of 2 with the origin (0, 0) as the center of dilation, followed by a translation of 1 unit up.

Step-by-step explanation:

If two triangles are said to be similar, their corresponding angles are congruent and their corresponding sides are in the same ratio.

Therefore, to maintain similarity (and thus keep the corresponding angles of both triangles the same) but not maintain congruence, dilate triangle ABC.

Given vertices of triangle ABC:

Given vertex of triangle A'B'C':

If ΔABC is dilated by a scale factor of 2, with the origin as the center of dilation, B' = (2, 8).  If the triangle is then translated 1 unit up, B' = (2, 9), which matches the given coordinate of point B'.

Therefore, the series of transformations is:

Mapping Rule:  (x, y) → (2x, 2y + 1)

Therefore, the coordinates of point C' are:

⇒ C' = (2(5), 2(2) + 1) = (10, 5)

x√3x is value of x in surds.

What is surds in maths?

= 4x√3x-x√√3x-2x√√3x

= √3x ( 4x - x - 2x )

= √3x ( 4x - 3x )

= √3x ( x)

= x√3x

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3/5 of the students are girls-

1-3/5 = 2/5

2/5 of the students are boys

1/3 of the girls have blonde hair.

So, multiply, the number of girls that have blonde hair (1/3) by the number of girls (3/5)

1/3 * 3/5 = 3 /15 = 1/5

of all students, 1/5 are girls with blonde hair.

For the boys;

1/2 of the boys have brown hair. of all students 2/5 are boys

2/5 * 1/2 = 2/10 = 1/5

Of all students 1/5 are boys with brown hair

The area of the triangle of base (b) and a height (h) is A

Given: b = 17 feet and h = 6 feet

So, the area will be :

so, the answer is : the area of the triangle = 51 square feet.

The range of values that can be plugged into a function is known as its domain. In a function like f, this set represents the x values (x). The collection of values that a function can take on is known as its range.

By factoring the numerator and denominator and setting them both to zero, the domain of a fraction function can be determined. The domain's values are the roots of the ensuing equation. Using the algebraic method of factoring is another method for determining the domain of a fraction function.

The range of values that can be plugged into a function is known as its domain. In a function like f, this set represents the x values (x). The collection of values that a function can take on is known as its range. The values that the function outputs when we enter an x value are in this set.

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In each hour the outside temperature decreases by 2°C/hr.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given the outside temperature decreases by 7 degrees in 3 1/2 or 7/2 hours.

The representation for the change in temperature as a unit rate will be.

= 7/(7/2) degrees.

= 7×2/7 degrees.

= 2 degrees.

So, The representation of the temperature change as a unit rate will be 2°C/hr.

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Answer:

Step-by-step explanation: free throws are worth 1 point?

We have to find how many field goals he made.

We know that the number of free throws (FT) and the number of two-point field goals (FG) are two consecutive odd numbers. As they are consecutive odd numbers, they differ by two, so we can write:

There are no three-point field goals and the total number of points was 19, so this score has to be the sum of the points from free throws and the points from two-point field goals.

Answer:

He made 7 two-point field goals and 5 free throws.

He made 2 more field goals than free throws.

Answer: We have to find how many field goals he made.We know that the number of free throws (FT) and the number of two-point field goals (FG) are two consecutive odd numbers. As they are consecutive odd numbers, they differ by two, so we can write:There are no three-point field goals and the total number of points was 19, so this score has to be the sum of the points from free throws and the points from two-point field goals.Answer:He made 7 two-point field goals and 5 free throws.He made 2 more field goals than free throws.

Step-by-step explanation: hope this helps0^0

We want to do the following operation:

To add fractions, we need to put both denominators in the same value. We need to find the LCM between 27 and 15. Factorizing those numbers in prime numbers, we have:

The LCM is the result of multiplying all those prime factors the most times they occur. Since 3 appears on both factorizations, we'll use only the most occuring 3(in this case, 3 times).

Now, we need to rewrite those fractions with the new denominator. To do that we just need to multiply both the numerator and the denominator by the same factor. To find those factors we just need to find the ratio between the denominator and 135.

Now, converting those fractions to this denominator:

Now, to finally do the addition, we just add the numerators.

Since 68 and 135 don't share any divisors, this is the simplest form of this fraction. The result is 68/135.

1. From the graph we see that the x-intercept occurs at the points: (3,0) and (-4,0).

Therefore, the factored form of the equation is given by:

or

So, the factored form is:

Answer: B. (x - 3)(x + 4)

Answer: 3 inches tall

Step-by-step explanation:

The formula for the volume of a cube is a to the power of 3

Substitute a with 6 and you get 6^3. 6 X 6 X 6 = 216 so the volume is 216 inches cubed.

The formula for the volume of a rectangular prism is length X width X height. If we substitute the length and with with 8 and 9, we get 8 X 9 X height = 216 (since the volume is the same.)

72 X height = 216. Divide both sides by 72 and you get 3 as an answer.

1) Gathering the data

1/2 a cup of frosting equally divided by 5

2) Let's divide the