Which of the following shows how this spinner would look after a 270 clockwise rotation

The correct option for the function in this problem is:

D- An exponential function is appropriate to model this scenario because, at the end of each year after purchase, the value of the equipment was 0.9 times its value 1 year before.

A decaying exponential function is modeled by:

\(A(t) = A(0)(1 - r)^t\)

In which:

For this problem, during each 1 -year period after the equipment was purchased, the value of the equipment at the end of the period was 10% less than its value at the beginning of the period, hence r = 0.1 and the equation is:

\(A(t) = A(0)(1 - 0.1)^t\)

\(A(t) = A(0)(0.9)^t\)

Which means that option D is correct.

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The equation that has the same solution as x² + 8x + 15 = -4x is x = -6± √21.

Step 1 - Move terms to the left

x² + 8x + 15 = -4x

x² + 8x + 15-(-4x) = 0

Step 2  - Combine the terms

x² + 8x + 15 + 4x = 0

x² + 12x + 15 = 0

Step 3 - Apply the quadratic formula

x = (-b ± √(b² - 4ac) )/ 2a

Recall that form our equation:

a = 1

b = 12

c = 15

Thus,  x = (-12 √(12² - 4 * 1 *15) )/2 *1

⇒x = -6 ± √21


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The hours 1,100 hours on Saturn is equivalent to 100 days on Earth and Mars

From the question, we have the following table of values that can be used in our computation:

Planet      Length of one day (hours)

Earth                24

Mars                25

Saturn               11

Also, we have

Number of hours on Saturn = 1100

So, we can represent the table of values as a ratio

Earth : Mars : Saturn = 24 : 25 : 11

Substitute Number of hours on Saturn = 1100 in the ratio

Earth : Mars : 1100 = 24 : 25 : 11

Multiply the ratio by 100

So, we have

Earth : Mars : 1100 = 2400 : 2500 : 1100

This means that

Earth = 2400 hours

Mars = 2500 hours

Divide by 24 and 25

Earth = 100 days

Mars = 100 days

Hence, the number of days on Earth is 100 days

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The number of days that are equal to 1,100 hours on Saturn is given as follows:

100 days.

A proportion is a fraction of a total amount, which is used along with the basic arithmetic operations such as multiplication and division to find the desired measures in the context of a problem.

The length of one day in Saturn, from the table, is given as follows:

11 hours.

Hence the following rule of three models the situation, considering that we want the number of days for 1,100 hours, hence:

1 day - 11 hours

x days - 1100 hours.

Then the number of days equivalent to 1100 hours on Saturn is obtained applying cross multiplication, as follows:

11x = 1100

x = 1100/11

x = 100 days.

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Answer:

When t=2.1753 & t=.5746 , h=27

Don't worry, I got you. Also, my calculator does too.

We set h equal to 27, because we want the height to be 27 when we solve for t.

That leaves us with:

27 = 7 + 44t - 16t^2

Simplify like terms,

20 = 44t - 16t^2

Move 20 onto the right side, so we can use quadratic equation

44t - 16t^2 - 20 = 0 --> -16t^2 + 44t - 20

Using quadratic, you get

t=2.1753 & t=.5746

poster confirmed : "It’s t=2.18 and t=0.57"

The system has an infinite number of solutions, but the only solution is (a, b) = (0, 0).

The given system of equations can be solved using the substitution method. We can begin by solving the first equation,\(a^2 + b^2\), for either a or b. Let's solve for a:

\(a^2 + b^2 = 0\)

\(a^2 + b^2 = 0\)

\(a^2 = -b^2\)

\(a = \pm\sqrt(-b^2)\)

We can substitute this expression for a into the second equation, \(3a^2 - 2ab - b^2 = 0\), and simplify:

\(3(\pm\sqrt(-b^2))^2 - 2(\pm\sqrt(-b^2))b - b^2 = 0\)

\(3b^2 - 2b^2 - b^2 = 0\)

0 = 0

Since 0 = 0, this means that the system of equations has an infinite number of solutions. In other words, any values of a and b that satisfy the equation \(a^2 + b^2 = 0\) will also satisfy the equation \(3a^2 - 2ab - b^2 = 0\)

However, the equation \(a^2 + b^2 = 0\) only has a single solution, which is a = b = 0. Therefore, the solution to the system of equations is (a, b) = (0, 0).

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Answer:

0.35 m

Step-by-step explanation:

1 m = 1000 cm

350 cm = ? m

We Take

350 / 1000 = 0.35 m

So, 350 cm = 0.35 m

Answer:

5,526

Step-by-step explanation:

Mean of scores = Total Value of Scores / Number of Values

= \(\frac{3820+5500+8560+4400+5350}{5} \\\)

= 5,526

Answer:5526

Step-by-step explanation: Add everything up and divide by 5 because there are 5 numbers

Answer:

Cube 1 = 30 cubic

Cube 2 = 48 cubic

Cube 3 = 72 cubic

Step-by-step explanation:

Cube 1 = 5x2x3

Cube 2 = 6x2x4

Cube 3 = 8x3x3

The positive square root of 57.27 is approximately 7.5726, with further decimal places available through iterative approximation methods.

To find the positive square root of the number 57.27, we can use a calculator or mathematical operations.

Taking the square root of a number involves finding a value that, when multiplied by itself, gives the original number. In this case, we want to find the value that, when squared, equals 57.27.

Using a calculator, we can find the square root of 57.27 as approximately 7.5726. However, it's important to note that this is an approximation and may not be completely accurate due to rounding errors.

If we want to find a more precise answer manually, we can use iterative approximation methods. One such method is the Newton-Raphson method, which involves repeatedly refining an initial guess.

Starting with an initial guess of, let's say, 7, we can use the formula:

x(n+1) = (x(n) + (57.27/x(n)))/2,

where x(n) is the current approximation and x(n+1) is the next approximation. Iterating this formula a few times will converge to a more accurate value.

After a few iterations, we find that the positive square root of 57.27 is approximately 7.572615. This value can be further refined by performing more iterations or using more advanced numerical methods.

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Answer:

145

Step-by-step explanation:

The total sum of all the angles is 360 degrees. If we add up 35, 35, and 145 we get 215. 360-215=145.

Answer:

54

Step-by-step explanation:

If a is 3, then we plug in "a" as 3.

3(6a) is 3(6(3))

3 * 6 * 3 = 54

The cosine of angle B is: cos(B) = AC / AB = 20/29

The Pythagorean Theorem, a well-known geometric theorem that states that the sum of the squares of the legs of a right-angled triangle is equal to the square of the hypotenuse (the opposite side of the right angle) - that is, in familiar algebraic notation. , a2 + b2 = c2 .

In a right triangle, the cosine of an angle is defined as the ratio of the adjacent side to its hypotenuse. In this case, angle B is the angle we are interested in, and the adjacent side is side AC. Using the Pythagorean theorem, we find the length of side AC:

AC² = AB²+ BC²

AC² = 29² - 21²

AC² = 400

AC = 20

Therefore, the cosine of angle B is:

cos(B) = AC / AB = 20/29

Other trigonometric ratios of angle B can be found using the following formulas:

sin(B) = BC / AB = 21/29

tan(B) = BC / AC = 21/20

csc(B) = AB / BC = 29 / 21

sec(B) = AB / AC = 29/20

bed (B) = AC / BC = 20 / 21  

Thus, the trigonometric ratios of angle B are:

sin(B) = 21/29

cos(B) = 20/29

tan(B) = 21/20

csc(B) = 29/21

sec(B) = 29/20

crib(B) = 20/21

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Answer:

(29.46 mm, 29.54 mm).

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 43 - 1 = 42

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 42 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.95}{2} = 0.975\). So we have T = 2.018

The margin of error is:

\(M = T\frac{s}{\sqrt{n}} = 2.018\frac{0.12}{\sqrt{43}} = 0.04\)

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 29.5 mm - 0.04mm = 29.46 mm

The upper end of the interval is the sample mean added to M. So it is 29.5 mm + 0.04mm = 29.54 mm

The 95% confidence level for the true mean width is: (29.46 mm, 29.54 mm).

Answer:

15

Step-by-step explanation:

We can imagine this like a number line.

A------------B--------------------C

The distance from A to B is 10.

The distance from A to C is 25.

This means that the distance from B to C will be \(25-10=15\).

Hope this helped!

If the total amount spent by the eight students in Ms. Reese's class is $121.00, using a system of equations, the number that purchased from the:

A system of equations is two or more equations solved at the same time or concurrently.

It is also known as simultaneous equations.

The total number of students in Ms. Reese's class who decided to purchase their textbook from two different sources = 8

The unit cost per textbook from the college bookstore = $16.50

The unit cost per textbook from an online discount store = $11.00

The total spending by the eight students = $121.00

Let the number of students who purchased from the college bookstore = x

Let the number of students who purchased from an online discount store = y

x + y = 8 …Equation 1

16.5x + 11y = 121 …Equation 2

Multiply Equation 1 by 11:

11x + 11y = 88 …Equation 3

Subtract Equation 3 from Equation 2:

16.5x + 11y = 121

-

11x + 11y = 88

5.5x = 33

x = 6

Substitute x = 6 in either equation:

x + y = 8

6 + y = 8

y = 2

Thus, 6 students purchased their textbooks from the college bookstore while 2 purchased online.

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Answer: bottom right

Answer: The expression for the absolute value of x+2 when x is less than 2 is -(x+2).

Step-by-step explanation: When x is less than 2, x+2 is a negative number. The absolute value of a negative number is its opposite with the negative sign, so the absolute value of x+2 is -(x+2). Therefore, when x is less than 2, the expression for the absolute value of x+2 is -(x+2).

Given:

A circle with a center at C.

Required:

We need to find the names of the given parts.

Explanation:

Recall that radius is a line segment extending from the center of a circle to the circumference.

Line segment AC extends from the center C of a circle to the circumference.

Recall that the arc of a circle is defined as the part of the circumference of a circle.

AE is the part of the circumference of a circle.

Recall that a straight line segment joins and is included between two points on a circle.

D and E are two points on a circle.

A straight line DE line segment joins and is included between two points D and E on a circle.

Recall that meeting a curve or surface in a single point if a sufficiently small interval is considered a straight line tangent to a curve.

AB is tangent.

Recall that an inscribed angle is an angle with its vertex "on" the circle, formed by two intersecting chords.

Recall that a central angle is an angle formed by two radii with the vertex at the center of the circle.

Recall that an angle formed by an intersecting tangent and chord has its vertex "on" the circle.

Final answer:

If a profit margin is $10 per unit, what would their profit be per unit after selling 200 copters is $9.40.

First step

There are 2 defectives in 200 copters

Total profit=[(200-2)×$10]-($50×2)

Total profit=(198×$10)-$100

Total profit=$1,980-$100

Total profit=$1,880

Second step

Profit per unit=$1,880/200

Profit per unit=$9.40

Therefore their profit be per unit after selling 200 copters is $9.40.

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A linear equation is an equation in which each term has at max one degree. The table that represents a linear function is Table 1. Thus, the correct option is A.

We have,

A linear equation is an equation in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = mx + c

Linear equation with two variables, when graphed on a cartesian plane with axes of those variables, give a straight line.

For the table to represent a linear function, the function must have a constant slope between any two points.

For the first table, the slope between the first two points is,

m = (7-3)/(2-1) = 4

The slope between the last two points is,

m = (15-11)/(4-3)

Hence, the table that represents a linear function is Table 1. Thus, the correct option is A.

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Answer: x = 16

Step-by-step explanation: The y values keep going up by multiplying 2. 2x2=4, 4x2=8, so 8x2=16.

To plot the points just put the point coordinated with the x values and y values.

Answer:

55.25

Step-by-step explanation:

So, all you gotta do is get rid of the decimal, times them both, then add the decimal back into it, and how you do that is you see how many numbers are behind a decimal point in the first place, in this case, it's two (8.5, 6.5) and you got your answer!

Hope this helps! <D

Answer:

I I don't know what is this

According to the solution we have come to find that, the length of the box is  \((V/2)^{1/3}\).

what is volume?

Volume is the measure of the amount of space occupied by a three-dimensional object or region of space. It is typically measured in cubic units, such as cubic meters (m³), cubic centimeters (cm³), or cubic feet (ft³), depending on the unit of length used to measure the dimensions of the object. The formula for calculating the volume of a geometric shape depends on the shape, but generally involves multiplying the dimensions of the shape together, such as the length, width, and height of a rectangular prism, or the radius and height of a cylinder.

Let's start by defining the variables:

Let's call the height of the box "h".

The length and width are each twice as long as the height, so we can write: length = 2h and width = 2h.

The volume of the box is given as "V".

We can use the formula for the volume of a rectangular box to write:

V = length × width × height

V = (2h) × (2h) × h

V = 4h^3

Now we can solve for h in terms of V:

4h³ = V

h³ = V/4

h = \((V/4)^{(1/3)\)

This gives us the formula for the height of the box in terms of its volume V.

If we are given the volume V and asked to find the length of the box, we can use the formula for length in terms of height:

length = 2h

length = 2(V/4\()^{(1/3)\)

length = (2V/4\()^{(1/3)\)

length = (V/2\()^{(1/3)\)

So, the length of the box is  \((V/2)^{1/3}\).

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Statement D is false.

What is Continuous function?

A function is continuous when its graph is a single unbroken curve that you could draw without lifting your pen from the paper. That is not a formal definition, but it helps you understand the idea.

The Intermediate Value Theorem states that if a function f is continuous on an interval [a, b] and k is a value between f(a) and f(b), then there is at least one value c in the interval such that f(c) = k.

In this case, f is continuous on the interval [0, 4] and 5 is between f(0) = 2 and f(4) = 18, so there must be a value c such that f(c) = 5.

Therefore, statement A is true.

The Mean Value Theorem states that if a function f is differentiable on an interval [a, b] and continuous on the closed interval [a, b], then there exists a value c in the interval (a, b) such that f'(c) = (f(b) - f(a))/(b - a).

In this case, f is differentiable and continuous on the interval [0, 4], so there must be a value c such that f'(c) = (f(4) - f(0))/(4 - 0) = 4.

Therefore, statement B is true.

The Extreme Value Theorem states that if a function f is continuous on a closed interval [a, b], then f must attain both a maximum and a minimum value on that interval.

In this case, f is continuous on the interval [0, 4], so it must attain both a maximum and a minimum value on that interval.

However, the theorem does not specify whether the maximum or minimum value occurs at the endpoint or somewhere in the interior of the interval.

Therefore, statement C is false, and statement D is also false.

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Answer:

x=134

Step-by-step explanation:

Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.

29+17=46

180-46=134

You will know the answer is right if everything adds up to 180.

134+17+29=180

Answer:

15%

Step-by-step explanation:

15% of 60 is nine

9/60=.15

.15*60=9

Step-by-step explanation:

Total cashback from grocery and restaurant purchases = 500 * 0.05 = 25$

Total cashback from other purchases

= 1500 * 0.01

= 15$

Total cashback = $ 40