Find the value of cos I rounded to the nearest hundredth, if necessary.
18
K
J
30
24
I

(a)The domain of the function is, [tex]\rm x \geq -c^2 \ x\neq0[/tex]

(b)The given function is discontinuous at x=0.

Domain is the set of values for which the given function is defined. Range is the set of all values which the given function can output.

The standard function is;

[tex]\rm f(x)= \frac{\sqrt{x+c^2-c} }{x} , c > 0[/tex]

The domain of the given function is found as;

[tex]\rm x+c^2 \geq 0 \ x\neq 0 \\\\ x\geq-c^2 \ x\neq 0[/tex]

The domain of the function is,

[tex]\rm x \geq -c^2 \ x\neq0[/tex]

To find the function is continuous or not, we have to find the continuity;

[tex]\rm f(x) = \frac{\sqrt{ x+c^2-c}}{x} ,c > 0[/tex]

At x= 0 the function is undefined. So that the function is discontinuous at x=0.

Hence, The domain of the function is, [tex]\rm x \geq -c^2 \ x\neq0[/tex] and the function is discontinuous at x=0.

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The area of the training field is 5606.48 m².

Area can be defined as the region bounded by a plane shape.

To calculate the area of the training field, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the area of the training field is 5606.48 m².

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Answer:

  A) transversal

Step-by-step explanation:

The vocabulary term you're looking for is "transversal."

A transversal crosses parallel lines (or ones that are nearly parallel in the vicinity of the transversal).

Answer:

y = -1/2 x + 4

Step-by-step explanation:

y = 2x + 4    

Since this equation is in slope-intercept form, the slope of the line is 2.  Perpendicular lines have slopes that are negative reciprocals of each other.  Thus, the slope of a line perpendicular to this line would be -1/2.

So, any equation of the form y = -1/2 x + b

it does not matter what the y-intercept of either line is. They will remain perpendicular as long as their slopes are negative reciprocals.

Answer:

A?

Step-by-step explanation:

(x-3) (x+8)(x-1) would be the solution

Fatima's claim that she has 0.413 kilogram of rose petals left is wrong

The given parameters are:

The amount left is the difference between the amount purchased and the amount used.

So, we have:

Remaining  = 0.454 + 0.056 - 0.02 - 0.095

Evaluate

Remaining  = 0.395

This means that the remaining amount is 0.395kg, not 0.413 kg

Hence, Fatima's claim that she has 0.413 kilogram of rose petals left is wrong

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Answer: she is left with 0.395 kilogram of rose pedals

Step-by-step explanation: she misalinged the first step,

0.454 - 0.02 = 0.434 + 0.056 = 0.490 - 0.095 = 0.395

Answer:

-7.

Step-by-step explanation:

Using the Remainder Theorem :

If  f(x) is divided by x-1 then the remainder is f(1), so

The required remainder

= f(1) =  2(1)^3 - 5(1)^2 + (-1) - 3

= 2 - 5 - 1 - 3

= -7.

Answer:

remainder = -5

Step-by-step explanation:

Divide using long division:

[tex]\large \begin{array}{r}2x^2-3x-2\phantom{)}\\x-1{\overline{\smash{\big)}\,2x^3-5x^2+x-3\phantom{)}}}\\\underline{-~\phantom{(}(2x^3-2x^2)\phantom{-b))))))}}\\0-3x^2+x-3\phantom{)}\\ \underline{-~\phantom{()}(-3x^2+3x)\phantom{-b}}\\ 0-2x-3\phantom{)}\\\underline{-~\phantom{()}(-2x+2)}\\ -5\end{array}[/tex]

If both towns, Appletown and Callwood, continue to grow at their current rates, Callwood will have the larger population at year 10 because it is increasing exponentially.

Exponential growth occurs when the pattern of increase is higher with the passage of time.

The formula for the exponential increase is as follows:

f(x)=a(1+r)^{x}

Where:

f(x) = exponential growth function

a = initial number or amount

r = growth rate

{x} = number of time intervals

Thus, if both towns, Appletown and Callwood, continue to grow at their current rates, Callwood will have the larger population at year 10 because it is increasing exponentially.

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Answer:

x ≥ -42

Step-by-step explanation:

[tex]\frac{x}{7} > =-6[/tex]

[tex]\frac{x}{7}\cdot 7 > =-6\cdot 7[/tex]

[tex]\frac{1}{7}\cdot 7x > =-6\cdot 7[/tex]

[tex]x > =-6\cdot 7[/tex]

[tex]x > =-42[/tex]

Shortcut

• Multiply positive 7 by negative 6 to find x as a shortcut.

Answer:

Step-by-step explanation:

AB = 6

BC = 4

just sum

6 + 4 = 10

AC = 10

Answer: Hello, your answer would be [tex]2.7x10^-5m^3[/tex]

Step-by-step explanation:

[tex]30mm[/tex]

[tex]a=0.03m[/tex]

[tex]V=a^3=0.03^3=2.7x10^-5m^3[/tex]

(the answer is also in the picture)

Answer:

V≈2.7×10^-5m³

Step-by-step explanation:

a=edge

Unit Conversion:

a=30mm/1000m

a=0.03m

Solution

V= a³= 0.03³

a³=0.03x0.03x0.03 ≈ 2.7×10^-5m³

Answer:

15 pencils

Step-by-step explanation:

5 pencils * 57 pencils is 285 total pencils

285 / 19 = 15

alternatively you can do 57/19 * 5, which is also 15

Answer:

24.56

Step-by-step explanation:

the circumference of a cricle is pi times diameter (so 4pi) then add both sides of 6 (so 12)

Answer:

P= 24.56cm

Step-by-step explanation:

P=2L + πd

P=2x 6cm + 3.14x4cm

p=12cm+12.56cm

P= 24.56cm

Answer:

The answer is (-100).

Step-by-step explanation:

Now,

x/5 + 6 = -14

Cross multiplication

x + 5 × 6 ÷ 5 = -14

x + 30/5 = -14

Multiply 5 both sides we get,

x + 30/5 × 5 = -14 × 5

x + 30 = -70

x + 30 – 30 = -70 – 30

x = -100

Thus, The value of x is (-100).

Answer:

[tex]\huge\boxed{\sf x = -100}[/tex]

Step-by-step explanation:

Given Equation:

x/5 + 6 = -14

Subtract 6 to both sides

x/5 = -14 - 6

x/5 = -20

Multiply 5 to both sides

x = -20 × 5

x = -100

[tex]\rule[225]{225}{2}[/tex]

Answer:

Im pretty sure its "A. 6"!

Have a nice day! :)

Answer:

It's 8 yuan per hour in company A and 9 yuan per hour in company B

Answer:

C. 314.2 cm²

Step-by-step explanation:

Surface area for cylinder

[tex]\text{SA} = 2 \pi r^2 + 2 \pi r h[/tex],
where r is radius and h is height.

[tex]2\pi r^2[/tex] comes from two times the area of the circle, [tex]2 \pi r h[/tex] is the area of the curved surface.

Given information:

r = 5 cm

h = 5 cm

Insert the values into the formula and evaluate

[tex]\text{SA} = 2 \pi r^2 + 2 \pi r h\\\text{SA} = 2 \pi (5)^2 + 2 \pi (5)(5)\\\text{SA} = 2 \pi (25) + 2 \pi (25)\\\text{SA} = 50 \pi+ 50\pi \\\text{SA} = 100\pi \approx 314.159\\\text{SA} = 314.2 \text{ cm}^2[/tex]

Step-by-step explanation:

remember, 360° (the full circle) = 2pi

a)

60° = 60/360 × 2pi = 2pi/6 = pi/3 = 1/3 × pi =

= 1.047197551... ≈ 1.047

b)

210° = 210/360 × 2pi = 210/180 × pi = 7/6 × pi =

= 3.665191429... ≈ 3.665

c)

225° = 225/360 × 2pi = 225/180 × pi = 45/36 × pi =

= 5/4 × pi = 3.926990817... ≈ 3.927

d)

120° = 120/360 × 2pi = 2pi/3 = 2/3 × pi =

= 2.094395102... ≈ 2.094

Answer:

A

Step-by-step explanation:

because for combinatioj order are no imoortant

Multiply miles per day by number of days

5.5 x 1.75 = 9.625

answer: A. 9.625 miles

The expression which is equal to tan O using coordinates on the unit circle is y/x. Option A is correct.

In a right angle triangle, the ratio of the opposite side to the base side is equal to the tangent angle between them.

[tex]\tan\theta=\dfrac{b}{a}[/tex]

Here, (a) is the base side, (b) is the opposite side.

Let suppose y is the length of opposite side in a unit circle and x is the length of base side. Thus, the value of tan theta is:

[tex]\tan\theta=\dfrac{y}{x}[/tex]

Hence, the expression which is equal to tan O using coordinates on the unit circle is y/x. Option A is correct.

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[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$99.931\\ r=rate\to 14\%\to \frac{14}{100}\dotfill &0.14\\ t=years\dotfill &5 \end{cases} \\\\\\ I = (99.931)(0.14)(5)\implies I\approx 70[/tex]

Answer:

473

Step-by-step explanation:

→ Write the formula

Base × Height

→ Substitute in the numbers

[tex]27\frac{1}{2}*17\frac{1}{5}[/tex]

→ Convert to improper fractions

[tex]\frac{55}{2} *\frac{86}{5}[/tex]

→ Simplify

473

Answer:

(a) 191 had side effects

(b) 370 had nausea

(c) 86 had both anxiety and fatigue

Step-by-step explanation:

    See attached. We look at the Venn diagram to answer the different questions.

If you are color blind let me know and I will mark the attachment more clearly.

Answer:

Step-by-step explanation:

The geometrically operations 2u + 4v is (2,12).

For immediately line graphs there is a linear relationship between the x and y values and so the line is instantly and should be drawn with a ruler. The gradient determines how steep the road is and the y-intercept tells us the vicinity wherein the immediate line intersects the y-axis.

It continually goes up in steps of equal length, so it is a straight line. that is first-class as a way because it goes. It identifies the defining assets of a linear feature—that it has a constant rate of exchange—and relates that property to a geometric feature of the graph.

The graph follows a straight line equation shows a straight line graph.

equation of a straight line is   y=mx+cy represents vertical line y-axis.

x represents the horizontal line x-axis.    

m is the slope of the line

           slope(m)=tan∅=y axis/x axis.

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    [tex]\large\boxed{\sf inverse \ variation}[/tex]

           [tex]\sf \large\boxed{\sf xy = 12}[/tex]

The coordinates are given in the table. Plot the points and draw a smooth curve on the graph. Identify the type of curve it forms.

After identification, it looks like a inverse graph.

Constant variable:

Inverse variation: xy = a   [a is constant]

Equation: xy = 12 or y = 12/x

Answers:

This is an Inverse variation

The equation is y = 12/x which is the same as saying xy = 12

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

Explanation:  

Notice that for each column, the x & y values multiply to 12.

This tells us that x*y = 12 which rearranges to y = 12/x

All inverse variation equations are of the form y = k/x which is equivalent to xy = k.

As x increases, y decreases, and vice versa.

Using linear functions, it is found that the number of electronics that you need to sell for a larger income in option A is x > 200,000.

A linear function is modeled by:

y = mx + b

In which:

Considering the base salaries as the intercept and the commissions as the slope, the functions are given by:

To produce a larger income in option A, it is needed that:

A(x) > B(x).

Hence:

10000 + 0.09x > 20000 + 0.04x

0.05x > 10000

x > 10000/0.05

x > 200,000

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