Breyelle is planning on purchasing a new sports-utility vehicle. The list price of the one she is most interested in buying is $32,000. This vehicle is expected to depreciate in value by 8.5% per year.

Which model could be used to calculate the daily depreciation for this vehicle?

V(t)=32,000(0.0233)^t

V(t)=32,000(0.9150)^t

V(t)=32,000(0.9767)t^t

V(t)=32,000(0.9998)^t

Answer:

The distributive property helps us to rewrite the expression and to get the same answer. The rule is: a * ( b + c ) = a * b + a * c. In this case: 7 * 6 = 7 * ( 3 + 3 ) = 7 * 3 + 7 * 3 = 21 + 21 = 42. And also : 7 * 6 = 42. We can use it also like this: 7 * 6 = 7 * ( 5 + 1 ) = 7 * 5 + 7 * 1 = 35 + 7 = 42, etc.Hope this helps. Let me know if you need additional help!

7(6)

If you would like an explanation, then it's pretty much simple so... please just ask.

The difference of the amounts after practice and before practice is 18 full.

The difference as a fraction in simplest form will be 9/28.

The sports drink bottle is 56 full and after practice, the bottle is 38 full, the difference of the amounts after practice and before practice will be:

= 56 - 38

= 18

The difference as a fraction in simplest form will be:

= Difference / Original value

= 18 / 56

= 9 / 28

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Answer:

The answer is D

Step-by-step explanation:

Answer:

(1,3,5,7,9)

U need to select the answer with the set of odd numbers.

You should know that if you skip every other one digit counting from 0 and infinite they are even and if you kip every other one digit counting from 1 and infinite those not skipped will be odds

After making equal monthly deposits of $453 for 11 years into a savings account earning 7.29 percent interest compounded monthly, Marc will have approximately $89,909.92 in his account.

To calculate the total amount of money in Marc's account at the end of 11 years, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the final amount in the account,

P is the monthly deposit amount,

r is the annual interest rate (expressed as a decimal),

n is the number of times the interest is compounded per year, and

t is the number of years.

In this case, Marc makes monthly deposits of $453, the annual interest rate is 7.29 percent (0.0729 as a decimal), and the interest is compounded monthly (n = 12). The number of years is 11.

Using the formula, we can calculate the final amount:

A = 453(1 + 0.0729/12)^(12*11)

A ≈ 89,909.92

Therefore, at the end of 11 years, Marc will have approximately $89,909.92 in his savings account.

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Step-by-step explanation:

you will divide both sides of the ratio I.e the 4.5 and 2.25 by 2.25

Answer:

 -4

Step-by-step explanation:

From the graph:

When n=2 , a^n =9

When n=4, a^n =1

The average rate of change between n=2 and n=4 is :

\(Rate= \frac{{{a_{2} -a_{4} } } }{2-4} \\=\frac{9-1}{-2} \\=-4\\\)

The average rate of change is  -4

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The domain of the Riemann zeta function, denoted by ζ(x), is the set of real numbers x for which the series ∑n=1 ∞ n^(-x) converges. The domain of the function can be expressed using interval notation as (-∞, 1).

To understand the domain of the Riemann zeta function, we need to consider the convergence of the series ∑n=1 ∞ n^(-x). The series converges when the real part of x is greater than 1. Therefore, the right half-plane Re(x) > 1 represents a region where the series converges.

On the other hand, when the real part of x is less than or equal to 1, the series diverges. This means that the left half-plane Re(x) ≤ 1 is excluded from the domain of the Riemann zeta function.

Combining these conditions, we find that the domain of the Riemann zeta function is (-∞, 1) in interval notation, indicating that the function is defined for all real numbers less than 1.

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The probability of the complement of spunning a red is 4/5.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Number of sections = 5

The probability of spunning a red.

= 1/5

The probability of the complement of spunning a red.

= 1 - 1/5

= 4/5

Thus,

4/5 is the probability of the complement of spunning a red.

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Answer:

A is answer

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

The required value of y for the unit circle is: 2/3

The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).

The equation of the circle is given by:

(x - h)² + (y - k)² = r²

where:

h, k is the coordinate of the center of the circle on coordinate plane.

r is the radius of the circle.

Here,

Equation of the unit circle is given as,

x² + y² = 1

Now substitute the given value in the equation,

5/9 + y² = 1

y² = 1 - 5/9

y² = 4/ 9

y = √(4/9)

y = 2/3

Thus, the required value of y for the unit circle is 2/3

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The Spearman rank-order correlation coefficient is a measure of the direction and strength of the linear relationship between two ordinal variables.

Spearman's rank-order correlation is used when two variables are measured on an ordinal scale.

What is the Spearman Rank-Order Correlation Coefficient?

The Spearman Rank-Order Correlation Coefficient is a non-parametric statistical measure that estimates the relationship between two variables using ordinal data.

It evaluates the strength and direction of a relationship between two variables by rank-ordering the data.

The Spearman correlation coefficient, named after Charles Spearman, calculates the association between two variables' rankings.

The correlation coefficient ranges from -1 to +1. A value of +1 indicates that there is a perfect positive relationship between the variables, whereas a value of -1 indicates that there is a perfect negative relationship between the variables.

In contrast, a value of 0 indicates that there is no correlation between the variables.

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In Problem 1, the measure of each marked angle is as follows:292º, -112º, -282º, -46º, 380º, 96º, 326º, 508º, and 790º.In Problem 2, the angles indicated by the letters in the given figure are as follows:c = 65º, d = 95º, e = 65º, f = 95º, g = 85º, and h = 85º.

Problem 1:The measures of the marked angles are as follows:(7x + 19)º and (-3x + 5)º are supplementary angles since they are the interior angles on the same side of the transversal "V Vest".

Therefore, we can say: (7x + 19)º + (-3x + 5)º = 180º Simplifying, 7x + 19 - 3x + 5 = 180

Combine like terms and solve for x: 4x + 24 = 180 4x = 180 - 24 4x = 156 x = 39 Now substitute x = 39 in the given expressions and find the value of each angle.

(7x + 19)º = (7 × 39 + 19)º = 292º(-3x + 5)º

= (-3 × 39 + 5)º = -112º(-8x + 30)º = (-8 × 39 + 30)º

= -282º(32 - 2x)º = (32 - 2 × 39)º = -46º(10x - 10)º

= (10 × 39 - 10)º = 380º(2x + 18)º = (2 × 39 + 18)º = 96º(8x + 14)º

= (8 × 39 + 14)º = 326º(12x + 40)º = (12 × 39 + 40)º

= 508º(20x + 10)º = (20 × 39 + 10)º = 790º

Therefore, the measures of the marked angles are:292º, -112º, -282º, -46º, 380º, 96º, 326º, 508º, and 790º.Problem 2:The angles indicated by the letters in the given figure are as follows: Angle c: Corresponding angles with respect to the parallel lines n and m are equal. Therefore, we can say: c = 65º.Angle d: Vertically opposite angles are equal. Therefore, we can say: d = 95º.

Angle e: Alternate interior angles with respect to the parallel lines n and m are equal. Therefore, we can say: e = 65º.Angle f: Corresponding angles with respect to the parallel lines n and m are equal. Therefore, we can say: f = 95º.Angle g: Interior angles on the same side of the transversal are supplementary. Therefore, we can say: g = 180º - 95º = 85º.Angle h: Vertically opposite angles are equal. Therefore, we can say: h = 85º.

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Answer:

i dont know

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

3b = 5$

3b = 6a

3b = 3 bags

6a = 6 apples

A. It costs 3.60 for 1 bag of apples

3.60 + 3.60 = 60 + 60 = 120 + 3 = 123 + 3 = 126

Meaning it would cost 126 for 3 bags of apples making this a incorrect option

B. It costs 3.60 for 1 apple

B is wrong because its one apple and if we were to subtract the apple would probably only cost a few change not 3$ and 60 cents.

C. The cost of 9 bags of apples is 30$

9b = 21a, its either c or d but I'm pretty sure its D!

D. The cost of 108 apples is 30$

D is correct

~ LadyBrain

Answer:

0.6,  1.2,   1.8,   2.4

1,   2,   3,   4

Step-by-step explanation:

Problem 11: k = 1, Problem 12: y(x) = -3e^(-5x) and Problem 13: x(t) = 5t + 5, We can solve this differential equation using separation of variables.

Problem 11: We are given that x(t) = 5t is a solution of the differential equation -dx/dt = kx. We can substitute this into the differential equation to get -5 = kt. Solving for k, we find that k = -1/5.

Problem 12: We are given the differential equation dy/dx = 5y and the initial condition y(0) = -3. We can solve this differential equation using separation of variables.

The general solution is y = C*e^(5x), where C is an arbitrary constant. We can use the initial condition to find C = -3, so the specific solution is y(x) = -3e^(-5x).

Problem 13: We are given the differential equation dx/dt = 4 - x and the initial condition x(0) = 5. We can solve this differential equation using separation of variables.

The general solution is x = 4t + C, where C is an arbitrary constant. We can use the initial condition to find C = 5, so the specific solution is x(t) = 5t + 5.

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Answer:

a relation that is a function

Step-by-step explanation:

We have the expression for the height H of the rock in function of the time r, when it falls from a height of 20 meters:

When r = 1 second, we have:

When r = 1.1 seconds, we have:

When r = 1.2 seconds, we have:

To know the time for each height, we have to work with the equation like this:

Then, we can calculate at which time the height is 15 meters:

When the height is 10 meters, r is:

When the height is 5 meters, r is:

The rock hits the ground when H=0. This happens when r is:

Answer :

55°

Detailed explanation:

The triangles are isosceles (having two sides of equal length and angle).

Hence solve for angle DCE

Angle DCE= 180°-(55°+55°)

=70°

As vertically opposite angles are equal. Thus,

angle ACB=70°.

Hence 180°-70°=110°

As the angles in an isosceles triangle are equal hence;

110°÷2=55°

Hence angle ABC is 55°

Hope this is has been clearly explained!

The measure of angle ABC from the given figure is 55 degree. Therefore, the correct answer is option A.

From the given figure, we have two isosceles triangles DCE and ABC.

In ΔDCE,

Base angle is ∠CED=55°.

Here, base angles are equal

That is, ∠CED=∠CED=55°

By using angle sum property of a triangle, we get

∠DCE=180°-(55°+55°)

∠DCE=70°

Now, ∠DCE and ∠ACB are vertically opposite angles are equal.

So, ∠DCE =∠ACB=70°

In ΔABC, base angles BAC and ABC are equal

So, ∠BAC+∠ABC+∠ACB=180°

∠ABC+∠ABC+70°=180°

2∠ABC=110°

∠ABC=55°

Therefore, the correct answer is option A.

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7,350 people can attend a sold-out show at the concert venue with 20 seats in the first row and 5 additional seats in each successive row with a total of 35 rows of seats.

The formula for calculating the total number of seats in a concert venue with 20 seats in the first row and 5 additional seats in each successive row is: (20 + (35-1)*5) x 35.

To solve for the number of people that can attend a sold-out show: (20 + (35-1)*5) x 35 = 7,350.

7,350 people can attend a sold-out show at the concert venue with 20 seats in the first row and 5 additional seats in each successive row with a total of 35 rows of seats.

Therefore, 7,350 people can attend a sold-out show at the concert venue with 20 seats in the first row and 5 additional seats in each successive row with a total of 35 rows of seats.

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The expression of the area is A(x) = (x + 50)(x - 20)

We have

Side length of square = x

When modified, we have the dimension to be

x + 50 by x - 20

So, the area is

A(x) = (x + 50)(x - 20)

Here, we have

A(50) = (50 + 50)(50 - 20) = 3000

A(100) = (100 + 50)(100 - 20) = 12000

A(150) = (150 + 50)(150 - 20) = 26000

The original playground was already the largest possible square, then the new rectangle will always have a smaller area than the original square.

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Answer:

6 or 4

Step-by-step explanation:

put 4 on each table which means you need 6 tables

or

put 6 on each table which means you need 4 tables

Step-by-step explanation:

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(a) The slope of the tangent line m tan = 510. (b) Equation of the tangent line to f at x=aLet m tan = 5103, x = 3, and y = f(3) = 37 = 2187. The equation of the tangent line to f at x = a is y = 5103x − 13122.

a. Slope of the tangent line m tan = f’(a)Let f(x) = x7 and a = 3f'(x) = 7x6 [Differentiate with respect to x]f'(a) = 7(3)6 = 7 × 729= 5103The slope of the tangent line m tan is equal to f’(a)Therefore, the slope of the tangent line m tan = 5103.b. Equation of the tangent line to f at x=aLet m tan = 5103, x = 3, and y = f(3) = 37 = 2187. Plug in the values in the point-slope equation of a line.y − y1 = m(x − x1)Therefore,y − 2187 = 5103(x − 3)Distribute 5103y − 2187 = 5103x − 15309Rearrange the equation to get it in slope-intercept form.y = 5103x − 13122The equation of the tangent line to f at x = a is y = 5103x − 13122.

Slope is one of the most concepts in mathematics. It is defined as the ratio of the change in the y-value of a function to the change in the x-value of the function. The slope of a function can be used to find the tangent line of the function at a specific point. A tangent line is a line that touches the curve of the function at a single point. The slope of the tangent line at that point is equal to the slope of the function at that point.There are different ways to find the slope of the tangent line of a function. One of the methods is to use the derivative of the function.

The derivative of a function is the rate at which the function changes with respect to its input. The derivative of a function is also the slope of the tangent line to the function at a given point. Equation 3.4 can be used to find the slope of the tangent line to a function at a given point.The equation of the tangent line to a function at a given point can be found using the point-slope equation of a line. The point-slope equation of a line is y − y1 = m(x − x1), where m is the slope of the line and (x1, y1) is a point on the line. To find the equation of the tangent line to a function at a given point, the slope of the tangent line and a point on the line must be known.

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Answer:

160 hope this work!!! love

Answer:

sin=180/181

cos=19/181

tan=19/180

Answer:

Its 12

Step-by-step explanation:

Ok done

The lower sum is 1.357 and the upper sum is 7.699.

To find the lower sum, we need to evaluate f(x) at the left endpoint of each subinterval and multiply by the width of each subinterval:

L(f, P) = [(6-0) x f(0)] + [(4-6) x f(6)] + [(3-4) x f(4)] + [(2-3) x f(3)] + [(2-0) x f(2)] = [(6-0) x 0] + [(4-6) x 0.994] + [(3-4) x 0.951] + [(2-3) x 0.141] + [(2-0) x 0.412] = 0.412

To find the upper sum, we need to evaluate f(x) at the right endpoint of each subinterval and multiply by the width of each subinterval:

U(f, P) = [(6-0) x f(6)] + [(4-6) x f(4)] + [(3-4) x f(3)] + [(2-3) x f(2)] + [(2-0) x f(2)] = [(6-0) x 0.994] + [(4-6) x 0.951] + [(3-4) x 0.141] + [(2-3) x 0.412] + [(2-0) x 0.412] = 3.764

Therefore, the lower sum is approximately 0.412 and the upper sum is approximately 3.764.

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Answer:

C) 50

Step-by-step explanation:

You first look at the 40 given to you. Then you know the angle opposite of it will be 40 also because of the law that opposite angles are the same. Once you have two angles in the triangle you can add 40 plus 90 in which you get 130 but that does not equal 180. So you can see that angle 1 is 50 because 50 and 130 equals 180.

Degree of freedom for chi-square test for 10 categories will be 9.

What is chi- square test?

A test that evaluates how well a model matches real observed data is that the chi-square (χ²) statistic. A chi-square statistic can only be calculated with data that's random, unprocessed, mutually exclusive, obtained from independent variables, and drawn from a large enough sample.

The Formula for Chi-Square Is

χ(c)=²∑(Oₐ-Eₐ)₂/Eₐ²

where:

c=Degrees of freedom

O=Observed value(s)

E=Expected value(s)

​

Main Body:

Degree of freedom = total categories -1

so no. of categories= 10

Degree of freedom = 10 - 1

Hence degree of freedom = 9

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Therefore, there are 4 x 1128 = 4512 possible 5 card poker hands with at least 3 aces that can be dealt from a standard deck of 52 cards.

1. There are 4 aces in a standard deck of 52 cards, so the maximum number of aces in a 5-card poker hand is 3.

2. There are C(4,3) = 4 ways to choose 3 aces out of the 4 aces in the deck.

3. For the remaining 2 cards, there are C(48,2) = 1128 ways to choose them from the 48 non-ace cards.

4. Therefore, there are 4 x 1128 = 4512 possible 5 card poker hands with at least 3 aces that can be dealt from a standard deck of 52 cards.

There are 4 aces in a standard deck of 52 cards, so the maximum number of aces in a 5-card poker hand is 3. There are C(4,3) = 4 ways to choose 3 aces out of the 4 aces in the deck. For the remaining 2 cards, there are C(48,2) = 1128 ways to choose them from the 48 non-ace cards.

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