Use set notation to describe the domain and range of each graph. Use set notation to describe the domain and range of each graph .​

The Volume and Surface Area of Prism is 462  in² and 637  in³.

What is Prism?

Prism is a three-dimensional solid object in which the two ends are identical. It is the combination of the flat faces, identical bases and equal cross-sections.

Surface area of rectangular prism,

= 2( lb +bh +lh)

= 2 ( 13*7 + 7*7+ 13*7)

=2*231

= 462  in²

Now, Volume,

= bhl

= 13*7*7

= 637  in³

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A fraction is a way to describe a part of a whole. The correct option is C.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

The choice that is equivalent to the fraction  can be found by rationalizing the denominator of the fraction. Therefore, we can write,

[tex]\dfrac{2}{2-\sqrt{6x}}\\\\\\=\dfrac{2}{2-\sqrt{6x}} \times \dfrac{2+\sqrt{6x}}{2+\sqrt{6x}}\\\\\\= \dfrac{4+2\sqrt{6x}}{4-6x}\\\\\\=\dfrac{2(2+\sqrt{6x})}{2(2-3x)}\\\\\\= \dfrac{2+\sqrt{6x}}{2-3x}[/tex]

Hence, the correct option is C.

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Using the given equation, the time it would take for the skydiver to fall 180 feet is of 3.35 seconds.

The height in feet that a person has fallen after t seconds is given by:

d = 16t².

In this problem, we want the time for a fall of 180 feet, hence.

[tex]16t^2 = 180[/tex]

[tex]t = \sqrt{\frac{180}{16}}[/tex]

t = 3.35

The time it would take for the skydiver to fall 180 feet is of 3.35 seconds.

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Based on the graph, the interval will their systolic pressure be lowest is 4pm to 5pm.

The lowest systolic pressure can be seen from 5 and 8 hours after taken the medication.

If we look at the time details then this will fall inbetween the interval of 2pm to 5pm.

According to question, the time range is 4pm to 5pm.

Hence, the interval will their systolic pressure be lowest is 4pm to 5pm.

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Answer:

The answer is B - 12 P.M to 2 P.M

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Assuming that the 2  actually represents square, the equation is
[tex]f(x) = 12(x-2)^2 + 18[/tex]

[tex](x-2)^2 = x^2 - 4x + 4\\\\12(x-2)^2 + 18 = 12( x^2 - 4x + 4) + 18 = 12x^2 -48x + 48 + 18 = 12x^2 -48x + 66\\[/tex]

This equation is of the form
[tex]ax^2 + bx + c[/tex]

[tex]a = 12, b = -48, c = 66[/tex]

Note

Since the question is only asking for the a value which is the coefficient of x² it is clear that 12 is the coefficient without expanding (x-2)² but it is always better to proceed as above in case you are asked for b and c values also

Value of the function at x=a is [tex]12a^{2} -240a +1218[/tex].

Given function f(x)=[tex]12(x-10)^{2} +18[/tex]

We have to find the value of function at x=a.

For this we have to just put x=a in the function f(x)=[tex]12(x-10)^{2}+18[/tex]

f(a)=12[tex](a-10)^{2} +18[/tex]

we have to expand (x-10) to the power 2  to get the value of  function.

f(a)=[tex]12(a^{2} +10^{2} -20a)+18[/tex]

=[tex]12a^{2}+1200-240a+18\\[/tex]

=[tex]12a^{2} -240a+1218[/tex]

Hence the value of function at x=a is [tex]12a^{2} -240a+1218[/tex] means f(a)=[tex]12a^{2} -240a+1218[/tex].

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Answer:

please see photo attached for detailed analysis.

Answer:

6.4

Step-by-step explanation:

It's stated that the shapes are similar.

We can use similarity ratio to find the value of x:

LM/CD = KL/BA

x/4 = (11.2)/7 cross multiply expressions

7x = 44.8 divide both sides by 7

x = 6.4

The solution of the equation 4p – [(2p – 3) / 2] = 6 with variable p will be 1.5.

The solution of the equation means the value of the unknown or variable.

The equation is given below.

4p – [(2p – 3) / 2] = 6

On simplifying, we have

(8p – 2p + 3) / 2 = 6

               6p + 3 = 12

                     6p = 9

                       p = 1.5

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In terms of l?

TSA

LSA

Answer:

[tex]\sf SA=54\pi\:\:\:cm^2[/tex]

Step-by-step explanation:

Surface Area of a Cone

[tex]\sf SA=\pi r l+\pi r^2[/tex]

where:

Given:

Substitute the given values into the formula and solve for SA:

[tex]\implies \sf SA=\pi (3)(15)+\pi (3)^2[/tex]

[tex]\implies \sf SA=45\pi+ 9 \pi[/tex]

[tex]\implies \sf SA=54\pi\:\:cm^2[/tex]

Therefore, the surface area of the cone in terms of pi is:

[tex]\sf SA=54 \pi\:\:\:cm^2[/tex]

Answer:

X intercepts (41/2, 0), Y  intercepts (0, -41)

Step-by-step explanation:

I hope this helps, if it doesn't then just message me, and ill be more than happy to help :)

The domain and range of function f(x) = 2x - 41 is domain (-∞,∞) and range is (0,∞).

A relation is a function if it has only One y-value for each x-value.

The domain of a function is the set of values that we are allowed to plug into our function.

This set is the x values in a function such as f(x).

The range of a function is the set of values that the function assumes.

The function f(x) = 2x - 41 is a linear function.

As a linear function, the domain is all real numbers, and the range is also all real numbers.

So the domain is (-∞,∞) and range is (0,∞)

Hence,  the domain and range of function f(x) = 2x - 41 is domain (-∞,∞) and range is (0,∞).

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The figure showing the construction is given below.

Steps for the construction of a circle through three points not on a straight line are as follows:

1. To create two lines, connect the points.

2. Create the line's perpendicular bisector.

3. Create the opposite line's perpendicular bisector.

4. The circle's center is where they intersect.

5. Draw your circle by placing the compass on the center point and adjusting its length to reach any point.

What happens if the points are parallel?

The circle traveling through all three points will have an infinite radius if the three points are collinear, or all situated on a straight line. Therefore, a practical circle cannot traverse three collinear locations. The two radii would be parallel and would never come together at a center if you tried the construction. We may claim that they do cross mathematically but at infinity.

Hence, after following the steps we obtain the circle.

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Answer:

1

Step-by-step explanation:

Could this be a tricky question? See the point:

Though it's inlikely that the first 240 people have only 10 years. Don't take this answer very seriously

The expression that's in the simplest term will be -12a² + b².

It should be noted that an expression means a mathematical statement that has a minimum of two terms containing variables.

In this case, the expression that's in the lowest term will be -12a² + b². This is because it's can't be simplified further.

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Answer:

[tex]\huge\boxed{\dfrac{1}{-1x}=-\dfrac{1}{1x}=-\dfrac{1}{x}=-x^{-1}}[/tex]

Answer:

-104

Step-by-step explanation:

Completed by plugging 50 in the equation:

-2(50) - 4 =

-100 - 4 =

-104

Answer:

C

Step-by-step explanation:

Answer:

Please review the question.  I don't see a diagram. And the "expressions" are just numbers.

Step-by-step explanation:

The expressions aren't really expressions.  There are no variables (x or y).

-6 - (-1)   is -5

-6 - 1      is -7

-5 - (-1)   is -4

-5 -1       is -6

We don't know if these are values of x or y, so the diagram could only be a series of dots on a number line.

Answer:

9/2 or 6/2

Step-by-step explanation:

The sum of nine should be amended by adding 6 + 2 +1 = 9

so when adding these numbers you will get the sum of 9

The angle at which the man should observe is 45 degrees.

Given :

height of man = 1.5m

height of tower = 81.5 m

distance between tower and man = 80 m

Since, ABCD is a rectangle, AD = BC = 80m

Similarly, AB = CD = 1.5m

EC = ED + CD

81.5 = ED + 1.5

ED = 80m

Now, in order to find the angle EAD, we use trigonometric functions,

tan ∅ = perpendicular / base = ED / AD

tan ∅ = 80 /80 = 1

∅ = [tex]tan^{-1} (1)[/tex]

∅ = 45°.

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Answer:The following what

Step-by-step explanation:

what is the following and there is no questions.

Step-by-step explanation:

[tex] = \sum \limits_{n = 1}^{7} ( - 2. {6}^{n - 1} )[/tex]

[tex] = \sum \limits_ {n = 1}^{n_{ \text{max}}} (a_1. {r}^{n - 1} )[/tex]

[tex] \: [/tex]

[tex]a_1 = - 2[/tex]

[tex]n = 7[/tex]

[tex]r = 6 \to r >1[/tex]

[tex] \: [/tex]

• Find S7.

[tex]s_n = a_1.( \frac{ {r}^{n} - 1}{r - n} )[/tex]

[tex]s_7 = - 2.( \frac{ {6}^{7} - 1 }{6 - 1} )[/tex]

[tex]s_7 = - 2.( \frac{279.936 - 1}{5} )[/tex]

[tex]s_7 = - 2.( \frac{279.935}{5} )[/tex]

[tex]s_7 = - 2 \: . \: 55.987[/tex]

[tex]s_7 = - 111.974[/tex]

The answer is B.

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: slope \:\: of \:\: line = \cfrac{3}{2}[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

The equation of line is written in slope - intercept form

[tex]\qquad \tt \rightarrow \: f(x) = \dfrac{3}{2} x - 4[/tex]

if we compare it with general slope - intercept equation of line :

[tex]\qquad \tt \rightarrow \: f(x) = mx + c[/tex]

[ m represents slope of line ]

[tex]\qquad \tt \rightarrow \: m = \dfrac{3}{2} [/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

[tex]\frac32[/tex]

Step-by-step explanation:

Hello!

An equation of a line is usually written in slope-intercept form.

Slope Intercept Form: [tex]y = mx + b[/tex]

If we compare our given equation with the format:

This means that [tex]\frac32[/tex] would be our slope for the line.

Answer:

it is a 50 50 %chance so it is random this is called probability the probability of blue is half so it is by chance I chose blue

Answer:

if I'm correct it's where the 2 lines meet, which would mean the answer to be (-3,2)

The proportional relationship given in the table is y = 1.6x, and line B shows this relationship.

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

The constant of proportionality, considering the points on the table, is given as follows:

[tex]k = \frac{24}{15} = \frac{16}{10} = \frac{8}{5} = 1.6[/tex].

Hence the equation is:

y = 1.6x.

Line B gives the same points as the table, hence it shows the proportional relationship.

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Answer:

Area of room = 21 * 16

= 336 m²

Area of Carpet = (21 - 1)* (16-1)

= 20*15

= 300

Area of border = Area of room - Area of carpet

= 336 - 300

In the case above, Jaime claim is true.

1. Note that radian measure:

=   [tex]\frac{60° }{360°}[/tex] x 2π  x 3

= 1/6 x 6π  

= π  

2. Note that radian measure:

=  [tex]\frac{60° }{360°}[/tex] x 2π  x 6

= 1/6  x 2π  x 6

=2π  

So we can write it as:

π/3  x 180°/π    = 60°

Therefore, via the solution above, Jaime claim is true.

3. Note that: Radian measures: the percentage of arc measures x  2π  x radius and so one can say that The explanation to agree with Jaime’s statement or not is that the longer the length of the radius, the longer the length of the arc.

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Answer:

it's actually 28+/-√721/7

Step-by-step explanation:

Answer: 280

Step-by-step explanation:

50 cents for each banana so: 4* 50= 200

200+80

Answer is 280