The radius of a circle is 9 millimeters what is the circle area

Answer:

First choice

Step-by-step explanation:

The graph appears to show the time and the distance a motorcycle is from a house.

By inspection of the graph we can say that the first two hours the position of the motorcycle steadily moves away from the house. Then for the duration of 1 hour(hour2-hour3) the motorcycle moves closer to the house. Finally the motorcycle's position for an hour does not change meaning that the motorcyle has not moved for the duration of another hour.

So the motorcycle moves away from the house for two hours. Then it moves back towards the house for an hour. Finally it parks for an hour. This corresponds to the first answer choice.

The length of the bookcase is 22.5 feet.

To find the length and height of the bookcase, we can set up a system of equations based on the given information.

Let's denote the height of the bookcase as 'h' and the length as 'L' (noting that the length is 3 times the height).

We have the following equations:

Equation 1: L = 3h

Equation 2: 2L + 2h = 60

Equation 1 states that the length (L) is 3 times the height (h).

Equation 2 represents the total amount of lumber available, where the bookcase has two lengths and two heights, each contributing to the total of 60 feet of lumber.

Substituting Equation 1 into Equation 2, we can solve for the height (h):

2(3h) + 2h = 60

6h + 2h = 60

8h = 60

h = 60/8

h = 7.5

Therefore, the height of the bookcase is 7.5 feet.

Substituting this value back into Equation 1, we can find the length (L):

L = 3h

L = 3(7.5)

L = 22.5

Therefore, the height of the bookcase is 7.5 feet, and the length is 22.5 feet.

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It should be noted that z^4 will be -32 in rectangular form.

Based on the information, z = r(cos θ + i sin θ), and provided positive integer n, then it is implied that:

z^n = r^n (cos nθ + i sin nθ)

In this instance, we need to solve for z^4 in rectangular form when z = -2 - 2i. Firstly, we must calculate |z| and arg(z):

|z| = √((-2)^2 + (-2)^2) = 2√2

arg(z) = arctan(-2/-2) = π/4

Leveraging De Moivre's theorem, we can effectively deduce the value of z^4 as:

z^4 = (2√2)^4 (cos (4π/4) + i sin (4π/4))

= 32 (cos π + i sin π)

= -32

Concludedly, z^4  resolved in rectangular form is -32.

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a. Since both a strong-positive and weak-positive correlation are formally considered to be "growing," this is ambiguous (positive slope). In the same way, negative correlation. Speaking strictly in terms of truth or untrue, I would classify this as false

b. This is once more a little tricky. When "r" is zero, there isn't any evidence of a linear link. It doesn't necessarily follow that the variables don't correlate with one another. The answer is probably True if this is a course on statistics for beginners. If not, False.

c. This is simple to understand. Inverse relationships are indicated by negative coefficients. One grows while the other shrinks (or vice versa). False.

d. The range of the coefficient r is [0, 1] (inclusive), not (0,1). In this case, True if the text suggests [0,1].

e. Simple and accurate

f. Plain and simple, FALSE. Quite a high correlation coefficient

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Answer: 38 minutes

Step-by-step explanation:

According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same. The formula for this property can be expressed in real numbers a, b and c. If a × c = b × c.

Property of Equality:

The equivalence property describes the relationship between two equal quantities. If you apply a math operation to one side of the equation, you must also apply it to the other side of the equation to maintain balance.

That is, a property that does not change the truth value of an equation or does not affect the equivalence of two or more quantities is called an equality property. These equality properties help solve various algebraic equations and define equivalence or equilibrium relationships.

Multiplicative Property of Equality:

According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same.

The formula for this property can be expressed as for the real numbers a, b, and c.

If a × b, then, a × c = b × c.

In algebra, the multiplicative property of an equation helps extract unknown terms from an equation. Because multiplication and division are opposites of each other.

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A box with a square base and a top is to be constructed from 10 square meters of material. 40 square meters will maximize the volume that the box can hold.

LSD use among secondary school understudies is a specific concern. More Volume is a proportion of consumed three-layered space. It is frequently evaluated mathematically utilizing SI inferred units or by different supreme units. Volume is characterized as the space involved inside the limits of an article in three-layered space. It is otherwise called the limit of article. Volume is a proportion of consumed three-layered space. It is frequently measured mathematically utilizing the SI determined unit, the cubic meter. The volume of a compartment is by and large comprehended to be the limit of the compartment, how much liquid (gas or fluid) that the holder could hold, instead of how much space the actual holder dislodges. Three layered numerical shapes are additionally relegated volumes.

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Answer:

A

A would be the best answer since it asking how much did it change.

The probability that a bat does not consume any mosquitoes in a 30-second interval is 0.0067379 or 0.67%.

In this case, the average rate of mosquitoes consumed by a bat is 10 per minute.

To find the rate for a 30-second interval, calculate the rate for 1 minute and then adjust it for the 30-second interval:

Average rate for 1 minute = 10 mosquitoes

Rate for 30 seconds = \(\dfrac{10 \,mosquitoes}{1 \,minute} \times \dfrac{1}{2}\)

                                  = 5 mosquitoes

The Poisson distribution probability mass function is given by:

\(\[ P(X = k) = \dfrac{e^{-\lambda} \cdot \lambda^k}{k!} \]\)

Where:

\(\(\lambda\)\) is the average rate of events.

In this case, to find the probability that k = 0.

So, let's plug in the values:

\(\(\lambda = 5\)\)

\(\(k = 0\)\), back to the formula as

\(\[ P(X = 0) = \dfrac{e^{-5} \cdot 5^0}{0!} \]\)

Calculating the probability as

\(\[ P(X = 0) = e^{-5}\)

                \(= 0.0067379\)

Therefore, the probability is 0.0067379 or 0.67%.

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Answer:

he last ratio is written incorrectly.

Mandy reversed the input and output in the numerator and denominator.

The correct ratio is 50/10.

The relationship is proportional.

Increasingly, developers are using tools that can quickly create screen mockups, referred to as element Wireframes

Wireframes is a type of tool which is allow designers to quickly and effectively mock up an outline of a design as easily as possible. Designers easily drag the images and drop to placeholder images , header and content also.

There are three types of wireframes, which is very useful :

Wireframes generally is used for visual designer, developer, business analysts, user experience designers and information architecture and user research.

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The average speed was 60\(\frac{k+300}{96+t}\)

We are given that a plane travelled k miles in 96 minutes. Since we need the average speed in miles per hour we can convert 96 minutes to hours.

96 minutes = 96/60 =8/5 hours

We are also given that the Plane completed the remaining 300 miles in t minutes. We must also convert t minutes to hours.

t minutes = t/60 hours

Now we can calculate the average speed for the entire trip, using the formula for average speed.

Average Speed = total distance/ total time

Average Speed = (k +300)/(8/5 + t/60)

Average speed = (k + 300) / ((96 + t)/60)

Hence, Average Speed = 60(k + 300)/ (96 + t)

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Answer:

\(x = -\frac{17}{6} = -2\frac{5}{6}\)

Step-by-step explanation:

When I went through the phase of solving these problems they stumped me SO BAD,... they want you to solve for x,...

Here's your problem:

\(-\frac{3}{4} =\frac{3x}{4} +\frac{11}{8}\)

Multiply both sides of the equation by 8, the least common multiple of 4,8. (in doing this you get all the fractions to whole numbers (they are easier to work with))

−6=2×3x+11

Multiply 2 and 3 to get 6

−6=6x+11

Swap sides so that all variable terms are on the left hand side.

6x+11=−6

Subtract 11 from both sides.

6x=−6−11

Subtract 11 from −6 to get −17.

6x=−17

Divide both sides by 6.

x= \(\frac{-17}{6}\)  

Hope it helps,... Chow,...

Answer:

Undefined.

Step-by-step explanation:

Slope is the Rise/Run of a straight line.  Run is the change in the value of y for a change in x.  The graph shows all values are possible for y even when there is zero change in x.  All Values/0 = Undefined.

(a) To find the marginal cost function C'(x), we need to take the derivative of the cost function C(x) with respect to x.

To determine how fast the cost is going up at a production level of 100 teddy bears, we substitute x = 100 into the marginal cost function:

C'(100) = (38 - 0.16)(100)

           = 38 - 16

           = $22 per teddy bear.

The exact cost of producing the 101st teddy bear can be found by substituting x = 101 into the cost function:

C(101) = 100 + 38(101) - 0.08(101)^2  

         = \((100 + 38(101) - 0.08(101)^{2} )\)

         = = $434.92

Thus, there is a difference of $434.92 - $434 = $0.92.

(b) The average cost function C(x) is given by:

C(x) =  \(\frac{C(x)}{x}\)  =  \(\frac{100 + 38x - (0.08)^{2} }{x}\)

To evaluate C(100), we substitute x = 100 into the average cost function:

C(100) =   \(\frac{100 + 38(100) - (0.08)(100)^{2} }{100}\)

          = $138 per teddy bear.

The answer tells us that the average cost of producing the first hundred teddy bears is $138 per teddy bear.

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Answer:

line segment rigthjjlkkk

To convert other bases to base ten in binary​, we multiply the base to the exponent of the position of the number and take the sum

From the question, we have the following parameters that can be used in our computation:

Numbers in other bases to base ten

To do this we use the product rule

Take for instance, we want to convert the binary number 1011 to base ten.

This means that we are converting from base 2 to base 10

Using the above as a guide, we have the following:

1011₂ = 1 * 2³ + 0 * 2² + 1 * 2¹ + 1 * 2⁰

Evaluate

1011₂ = 13

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Answer:

2x-5

Step-by-step explanation:

im not sure

mark brainliest if it helps

Answer:

x=2

y=1

Step-by-step explanation:

-6x+12=0

take 12 to the other side &it becomes negated then equate

-6x=-12

the negatives cancel out each other and therefore the answer is positive

x=2

4y+5=9

take 5 over to the other side &it becomes negated

4y=9-5

4y=4

y=1

Step-by-step explanation:

-6x=0-12=-12= -6/-12 =2 So, X=2

4y=9-5=4 = 4/4= 1 So, y=1

Hence,

X+Y

= 2+1

=3 Answer

hope it helps

Answer:

Step-by-step explanation:

Given the expression cos(3x-π) = -√3/2, we are to find the values of x that represent the solutions to the equation.

cos(3x-π) = -√3/2

take inverse cos of both sides

cos⁻¹[cos(3x-π)] = cos⁻¹[-√3/2]

3x-π = cos⁻¹[-√3/2]

3x-π = -30°

since 180° = π rad

Hence;

3x- 180° = -30°

3x =  -30°+ 180°

3x = 150°

x = 150°/3

x = 50°

Since cos is negative in the first second and 3rd quadrant;

3x-180° = -30°

In the second quadrant;

3x-180° = 180-30

3x - 180 = 150

3x = 150+180

3x = 330

x = 110°

In the third quadrant;

3x-180° = 270+30

3x - 180 = 300

3x = 300+180

3x = 480

x = 480/3

x = 160

Answer:

SSS

Step-by-step explanation:

XW = YZ by reflective the line

XY = WZ by the two lines

and XZ = XZ by reflective property of congruence

Answer: SSS = SSS

Step-by-step explanation:

if we look for the 3 aspects of the triangle that we can work with, we only see that they specifically provide us with 2. they are both sides, so we know that it has a least 2 letter S's in the answer. but, we also can see that they share a side. that means that that side is congruent too. so, it is SSS = SSS.

Hey there!

Simplify by flipping.

\(r+15\)

Hope this helps!

- TestedHyperr

Answer:

\(y = 6x - 4\)

Step-by-step explanation:

To find the equation of the line that passes through the given points (-1, -10) and (3, 14), first find the slope by inputting the points into the slope formula.

\(\boxed{\begin{minipage}{8cm}\underline{Slope Formula}\\\\Slope $(m)=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.\\\end{minipage}}\)

Let (x₁, y₁) = (-1, -10)

Let (x₂, y₂) = (3, 14)

Therefore, the slope of the equation is:

\(\implies m=\dfrac{14-(-10)}{3-(-1)}=\dfrac{14+10}{3+1}=\dfrac{24}{4}=6\)

Now that we have determined the slope of the line, we can input the found slope and either of the two given points into the point-slope formula to create the equation of the line.

\(\boxed{\begin{minipage}{5.8 cm}\underline{Point-slope form of a linear equation}\\\\$y-y_1=m(x-x_1)$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $(x_1,y_1)$ is a point on the line.\\\end{minipage}}\)

Substituting m = 6 and (x₁, y₁) = (-1, -10) into the point-slope formula:

\(\implies y-(-10)=6(x-(-1))\)

Simplifying:

\(\implies y+10=6(x+1)\)

\(\implies y+10=6x+6\)

\(\implies y=6x-4\)

Therefore, the equation of the line that passes through (-1,-10) and (3,14) is:

\(\boxed{y = 6x - 4}\)

Answer:

6x - y - 4 = 0

Step-by-step explanation:

To find:-

Solution:-

We are here given two lines and we are interested in finding out the equation of the line passing through the given points.

Firstly here we will find out the slope of the line as ,

\(:\implies \sf m =\dfrac{y_2-y_1}{x_2-x_1}\\\)

Now on substituting the respective values, we have;

\(:\implies \sf m =\dfrac{-10-14}{-1-3} \\\)

\(:\implies \sf m = \dfrac{-24}{-4}\\\)

\(:\implies \sf\pink{ m = 6}\\\)

Now we can use the point slope form of the line to find out the equation of the line . The point slope form of the line is ,

\(:\implies \sf \pink{ y - y_1 = m(x_2-x_1)}\\\)

Take any one of the given points for (x₁,y₁) . Here i am taking (3,14) .

Now finally substitute the respective values,

\(:\implies \sf y - 14= 6(x -3 )\\\)

\(:\implies \sf y- 14= 6x - 18 \\\)

\(:\implies \sf 6x - y - 18 + 14 = 0\\\)

\(:\implies \sf\pink{ 6x - y -4 = 0 }\\\)

Hence the required equation of the line in standard form is 6x - y - 4 = 0 .

well, if we take $1450 as the 100%, what's $58 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 1450 & 100\\ 58& x \end{array} \implies \cfrac{1450}{58}~~=~~\cfrac{100}{x} \\\\\\ 25=\cfrac{100}{x}\implies 25x=100\implies x=\cfrac{100}{25}\implies x=\stackrel{\%}{4}\)

The equation obtained for Kim will be t = x/2

Equation obtained for Jake will be t = (x - 6)/1.5

As for the problem, Kim and Jake are competing in the big race. And the values of their speed are given below.

Kim moves at a 2-meter-per-second running pace.

Jake moves at a 1.5 meter per second running pace (3 meters per 2 seconds)

Jake gets 6 meters ahead of Kim.

To get equations for the same case to both persons we should get it as,

Let x be the complete race distance and t be either Kim's or Jake's total race time.

Time = Speed/Distance

Kim's time equation is t = x/ 2.

The time equation that Jake uses is t = (x - 6)/1.5.

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A 95% confidence interval is wider than a 90% confidence interval and so provides a better estimate of the population mean.

A confidence interval represents the range of values within which the population mean is estimated to lie with a certain degree of confidence. The wider the interval, the more certain we can be that the population mean lies within it. In other words, a 95% confidence interval provides a better estimate of the population mean than a 90% interval because it is wider and therefore more likely to contain the true population mean.

This increased accuracy is particularly important for the city in their budget planning as it allows them to make more informed decisions based on a more reliable estimate of their expected daily income from parking fees.

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Answer:

Step-by-step explanation:

If 24 muffins cost 46$ how much does 1 muffin cost?

46 : 24 =

1,916666666666667$

(the total cost is 46$ or 48? are you sure?)

Hey there!

It costs about $46 for 24 muffins, so in order to find out the total cost for 1 muffin you have to DIVIDE 46 from 24 or 24 from 46.

So, lets first divide 46 from 24

46 / 24

= 46 ÷ 24

= 46 ÷ 2 / 24 ÷ 2

= 23 / 12

= 1.916667

≈ 1.92

Therefore, your answer is: $1.92

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The magnitude of the resulting velocity: sqrt(312.3^2 + 123.5^2) = 337.1 mph. Therefore, the plane's resulting velocity is 337.1 mph towards the northwest.

To get the plane's resulting velocity, we need to use vector addition. The plane is traveling at a velocity of 360 mph towards the northwest (n20 w). The wind is blowing towards the east (due west + 180 degrees) at a velocity of 25 mph. We can break down these velocities into their x and y components.
The plane's velocity towards the northwest can be broken down into a velocity towards the west and a velocity towards the north. Using trigonometry, we can find that the plane's velocity towards the west is 360*cos(20) = 337.3 mph, and the plane's velocity towards the north is 360*sin(20) = 123.5 mph.
The wind's velocity towards the east can be broken down into a velocity towards the west and a velocity towards the north. Since the wind is blowing due west, its velocity towards the north is 0 mph, and its velocity towards the west is -25 mph.
To get the plane's resulting velocity, we need to add the x and y components of the plane's velocity and the wind's velocity. The resulting velocity towards the west is 337.3 - 25 = 312.3 mph, and the resulting velocity towards the north is 123.5 mph.
Using the Pythagorean theorem, we can get the magnitude of the resulting velocity: sqrt(312.3^2 + 123.5^2) = 337.1 mph. Therefore, the plane's resulting velocity is 337.1 mph towards the northwest.

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Answer:

Yes

Step-by-step explanation:

-1 = -1

(-1)(-1) = 1

(-1)(-1)(-1)= -1

Answer:

-1 x -1 x -1

= +1 x -1

= -1

Step-by-step explanation:

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