Tom spent $17,886 for a new car. The car will depreciate 11% each year. What will the car be worth after 11
years? Round your answer to the nearest cent. Do not include the dollar sign in your answer.

Answer

the answer is 13

Step-by-step explanation:

not 21, bro that one guy .. djxhfgbes

Answer:

f(3) = 4

Step-by-step explanation:

Give x = 3 in the interval x ≥ 1 then f(x) = x + 1 , and

f(3) = 3 + 1 = 4

Answer:

Step-by-step explanation:

Answer:It would cost $11.70 for 2.25 pounds of gummy worms.

Step-by-step explanation:

$2.60*4=$10.40 for 2 pounds

$2.60/2=$1.30 for 1/4 of a pound which is equal to 0.25

$10.40+$1.30=$11.70 for 2.25 pounds of gummy worms

The expression that gives the surface area of a sphere with radius "r" is A) 4πr².

Surface area refers to the total area that covers the outside of an object. The calculation of surface area will depend on the shape and dimensions of the object. For example, the surface area of a cube can be found by adding up the areas of its six faces, while the surface area of a sphere can be calculated using its radius.

Here are some common formulas for finding the surface area of different geometric shapes:

Cube: SA = 6a^2, where SA is the surface area and a is the length of one side of the cube.

Rectangular prism: SA = 2lw + 2lh + 2wh, where SA is the surface area, l is the length, w is the width, and h is the height of the rectangular prism.

Sphere: SA = 4πr^2, where SA is the surface area and r is the radius of the sphere.

Cylinder: SA = 2πr^2 + 2πrh, where SA is the surface area, r is the radius of the base, and h is the height of the cylinder.

Cone: SA = πr^2 + πrs, where SA is the surface area, r is the radius of the base, and s is the slant height of the cone.

It is important to remember that surface area is measured in square units, such as square meters (m^2) or square feet (ft^2), since it is a two-dimensional measurement.

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The Decimal point is a fraction whose denominator is a power of ten and whose numerator is expressed by figures placed to the right of the decimal point.

Given information:

Expanded Form of 6.02

\(6.02 = (6 \times 100) + (2 \times \frac{1}{102} )\\6.02 = (6 \times 1) + (2 \times \frac{1}{100} )\\6.02 = 6 + \frac{2}{100}\\ 6.02 = 6 + 0.02\)

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The pattern from a given succession of objects, numbers, letters, or symbols is illustrated below. This can be illustrated with a sequence.

It should be noted that a sequence is an enumerated collection of objects wherr repetitions are allowed and order matters.

In this case, patterns are useful to predict what came before or what might come after a set a numbers which are arranged in a particular order. The arrangement of numbers is called a sequence. For example: 2,4,6,8 and 10 are numbers that form a pattern called a sequence.

For example, if there are 30 boys in a class and the teacher wants to pick them using a factor of 3. The boys that eilclbe picked will be the boys on the line 3, 6, 9, 12, etc.

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Answer:

2/5

Step-by-step explanation:

Firstly 4/5 have walnuts, and half of them have peanut butter. 4/5/2=4/10=2/5

Taner will only need to run 3 km this week to complete his 6 km running goal.

If we require a definition, we may start by saying that fractional numbers are numbers that symbolize one or possibly more portions of a unit that has been subdivided into equal parts.

Given that, Taner's overall running goal is 6 km (including last week and this week)

So,

Taner's 2-week goal is 6 kilometres.

Now,

Taner's goal for the week is 3 kilometres = (6/2).

As the Taner completed 3 km of running last week. Taner can achieve his objective this week by running just 3 miles.

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Answer:

5x - 3

Step-by-step explanation:

I think of a number = x

multiply x by 5 = 5 × x = 5x

subtract 3 from 5x to give 5x-3

Where the above are given,

10. The nurse should give 2.45ml of the liquid medication.

11. The nurse can give 24ml of meperidine in 24 hours.

12. The patient should take 42 tablets of the antibiotic.

13. The IV rate is 100ml/hr at 1500gtt/min with a 15gtt/ml drip factor.

14. Each dose of codeine contains 15000mg.

15. The patient should be given 2.67oz (approximately) of the cough syrup.

10. To determine how much   of the liquid should be given, we can set up a  proportion

1g/3.5ml = 700mg/x

Cross-multiplying,

1g * x = 700mg * 3.5ml

x = (700mg * 3.5ml) / 1g

x = 2450mg*ml/g

Therefore, the amount of liquid to be given is 2.45ml.

11. The order states meperidine 75mg IM every 6 hours PRN pain, and the pharmacy sends a vial that contains 25mg/2ml. To calculate how many ml can be given in 24 hours, we need to consider the frequency and duration.

In 24 hours, there are 24/6 = 4 doses to be given. Each dose contains 75mg of meperidine.

To find the volume (ml) of each dose, we can set up a proportion  -

25mg/2ml = 75mg/x

25mg * x = 75mg * 2ml

x = (75mg * 2ml) / 25mg

x = 6ml

12.  To calculate the number of tablets the patient should take, we need to consider the dosage and the duration.

Each tablet contains 250mg of the antibiotic.

To find the number of tablets for the total dosage, we can set up a proportion  -

250mg/1 tab = 0.75g/x

250mg * x = 0.75g * 1 tab

x = (0.75g * 1 tab) / 250mg

x = 0.003 tab

Since we cannot take a fraction of a tablet, the patient should take 1 tablet every 4 hours for 7 days, resulting in a total of 1 * 6 * 7

= 42 tablets.

13.  To determine the IV rate, we need to calculate the number of drops per minute.

The formula to calculate the IV rate in drops per minute (gtt/min) is -

IV rate (ml/hr) = Total volume (ml) / Total time (hr)

IV rate (gtt/min) = IV rate (ml/hr) * Drop factor (gtt/ml)

IV rate (ml/hr) = 1000ml / 10hr = 100ml/hr

IV rate (gtt/min) = 100ml/hr * 15gtt/ml =

1500gtt/min

Therefore, the IV rate is 100ml/hr at 1500gtt/min.

14. To determine the   amount of milligrams of  codeine in each dose, we need to convert grams to milligrams.

1  gram (g) = 1000   milligrams (mg)

15 grams (gr) = 15 * 1000mg = 15000mg

Therefore, each dose contains 15000mg of codeine.

15. To calculate how much cough syrup should be given in ml's, we can set up a proportion -

225mg/1oz = x ml/600mg

225mg * x = 1oz * 600mg

x = (1oz * 600mg) / 225mg

x = 2.67oz

Therefore, 2.67oz of cough syrup should be given in ml's.

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Answer:

\(\huge\boxed{\sf Distance = 2.793\ miles}\)

Step-by-step explanation:

Given Data:

Speed = 4.9 mph

Time = 0.57 hours

Required:

Distance = ?

Formula:

Distance = Speed * Time

Solution:

Distance = 4.9 * 0.57

Distance = 2.793 miles

\(\rule[225]{225}{2}\)

Hope this helped!

Given:

He has $20 to spend and the frogs cost $2.50 each.

To find:

The inequality to find how many frogs he can afford.

Solution:

Let x be the number of frogs he can afford.

Cost of one frog = $2.50

Cost of x frogs = $2.50x

He has $20 to spend. It means, the total cost, i.e., $2.50x, must be less than or equal to $20.

\(2.50x\leq 20\)

Divide both sides by 2.50.

\(x\leq \dfrac{20}{2.50}\)

\(x\leq 8\)

Therefore, the maximum number of frogs he can afford is 8.

The given functions ψ = 2xy and φ = x^2 - y^2 satisfy the conditions for continuity and irrotational flow.

To show continuity, we need to verify that the partial derivatives of ψ and φ with respect to x and y are equal. Let's calculate these partial derivatives:

∂ψ/∂x = 2y

∂ψ/∂y = 2x

∂φ/∂x = 2x

∂φ/∂y = -2y

From the above calculations, we can see that the partial derivatives of ψ and φ with respect to x and y are equal. Therefore, the condition for continuity, which requires the equality of partial derivatives, is satisfied.

To show irrotational flow, we need to verify that the curl of the velocity vector is zero. The velocity vector can be obtained from the stream function ψ and velocity potential φ as follows:

V = ∇φ x ∇ψ

Taking the curl of V:

∇ x V = ∇ x (∇φ x ∇ψ)

Using vector calculus identities and simplifying the expression, we find:

∇ x V = 0

Since the curl of the velocity vector is zero, the condition for irrotational flow is satisfied.

Therefore, based on the calculations and verifications, we can conclude that the given functions ψ = 2xy and φ = x^2 - y^2 satisfy the conditions for continuity and irrotational flow.

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There are 40 such bit strings.

To count the number of bit strings of length seven that either begin with two 0s or end with three 1s, we need to use the principle of inclusion-exclusion.

Let A be the set of bit strings that begin with two 0s, and let B be the set of bit strings that end with three 1s.

Then, we want to find the size of the set A ∪ B, which consists of bit strings that satisfy either condition.

The size of A can be calculated as follows:

since the first two digits must be 0, the remaining five digits can be any combination of 0s and 1s,

so there are \(2^5 = 32\) possible strings that begin with two 0s.

Similarly, the size of B can be calculated as follows:

since the last three digits must be 1, the first four digits can be any combination of 0s and 1s,

so there are\(2^4 = 16\) possible strings that end with three 1s.

However, we have counted the strings that both begin with two 0s and end with three 1s twice.

To correct for this, we need to subtract the number of strings that belong to both A and B from the total count.

The strings that belong to both A and B must begin with two 0s and end with three 1s, so they have the form 00111xxx,

where the x's can be any combination of 0s and 1s.

There are \(2^3 = 8\) such strings.

Therefore, the total number of bit strings of length seven that either begin with two 0s or end with three 1s is:

|A ∪ B| = |A| + |B| - |A ∩ B| = 32 + 16 - 8 = 40.

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Answer:

top box) 216

middle box) 54

bottom box) 4

Step-by-step explanation:

surface area is 6s^2

top) side = 6 so

\(6(6^{2})\)

6(36)

216

middle) side = 6 so

\(6(3^{2})\)

6(9)

54

bottom)

216/ 54

4

Answer:

288

Step-by-step explanation:

Answer:

They do not.

Step-by-step explanation:

Even if you add them that will get you 13+5+12=30m which isnt 90 degrees. And even if you multiply them 12 times 5 is 60 times 13 that is 780 m :)

(a) The domain of the predicate P is the set of integers, Z. (b) P(3) is false, and P(-8) is true. (c) The truth set for the predicate P is the set of all integers whose absolute value is greater than 5.

(a) The domain of the predicate, P, is the set of integers, denoted by Z. The predicate P(n) can be evaluated for any integer value.

The domain refers to the set of values for which the predicate can be applied. In this case, since P(n) is defined for any integer n, the domain of the predicate P is the set of integers, denoted by Z.

(b) The truth values for P(3) and P(-8) are as follows:

P(3): False

P(-8): True

To find the truth values, we substitute the values of n into the predicate P(n) and evaluate whether the predicate is true or false.

For P(3), we have abs(3) > 5. Since the absolute value of 3 is not greater than 5, the predicate is false.

For P(-8), we have abs(-8) > 5. Since the absolute value of -8 is greater than 5, the predicate is true.

(c) The truth set for the predicate P is the set of all integers for which the predicate is true.

To determine the truth set, we need to identify all the integers for which the predicate P(n) is true. In this case, the predicate P(n) states that the absolute value of n must be greater than 5.

Therefore, the truth set for the predicate P consists of all the integers whose absolute value is greater than 5.

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Answer:

the next 3 numbers in the pattern are 1/27 , 1/81. , and 1/243

Step-by-step explanation:

to go from 9 to 3 you either have to subtract 6 or divide by 3. if you subtract 6 it doesn't match with the numbers. if you divide by 3 it matches. you can multiply 1/9 by 1/3 or divide by 3. it end with the same answer

We have that The Next 3 patterns are

1/27,1/81,1/243

From the Question we are told that

Pattern. 9 ,3 ,1 ,1/3, 1/9

Generally

Using in inductive reasoning the pattern progresses as a function of  dividing by 3

Therefore

The next three number are

\(x_1=\frac{1/9}{3}\\\\x_1=1/27\)

\(x_2=\frac{1/27}{3}\\\\x_2=1/81\)

\(x_3=\frac{1/81}{3}\\\\x_3=1/243\)

Therefore

The Next 3 Numbers are

1/27,1/81,1/243

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The required sample size of the given problem with a margin of error of at most 0.01 in a 99% confidence interval is 16590.

A margin of error is a factual estimation that records for the distinction among genuine and extended brings about an irregular overview test. In less complex terms, the margin of error you to measure the degree of unconventionality in information and exploration results.

Let p be the population proportion of cyanobacteria.

Given : E = 0.01

Critical value for 99% confidence interval : z = 2.576

If Ian does not want to rely on previous knowledge , then we assume p=0.5 because the largest standard error is at p=0.5.

Now, the required sample size = n

⇒0.5(1 - 0.5)(\(\frac{2.576}{0.01}\))^2

⇒ 0.25(257.6)^2

⇒ 0.25(66357.76)

⇒ 16589.44 ≈≈ 16590

Thus, the size of sample is 16590.

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To determine if a matrix is a linear combination of other matrices, we need to check if it can be written as a weighted sum of those matrices where the weights are scalar values (numbers).

If a matrix can be expressed in this way, it is said to be a linear combination of the other matrices.

For example if we have matrices: A, B & C and we can write matrix D as follows:

Then D is a linear combination of matrices A, B and C. This concept is important in linear algebra as it allows us to express one matrix in terms of others. Making it easier to manipulate & analyze the matrices. A matrix is a linear combination of other matrices if it can be expressed as a weighted sum of those matrices where the weights are scalar values.

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Option 2: \(2x^3 - x^2\) is a trinomial.

Given algebraic expressions:

\(x^3 + x^2 - \sqrt{1},\\ 2x^3 - x^2 ,\\ 4x^3 + x^2 - \dfrac{1}{x},\\ x^6 - x +\sqrt{6}\)

The definition of polynomial needs integer exponents of variable and integer coefficients of variable.

Thus by definition, option 1, option 4 are not polynomials.

Option 3rd is actually having degree 4 due to 1/x and thus not a trinomial.

Option 2nd completes all the needs of being trinomial as it has degree 3 and its a polynomial.

Thus Option 2: \(2x^3 - x^2\) is a trinomial.

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Answer:

D. x^6 - x + √6

Step-by-step explanation:

:p

Answer:

Step-by-step explanation:

Angle E is one-half the measure of the difference between arc CG and arc DF. Mathematically, that looks like this:

\(44=\frac{1}{2}(160-DF)\) and

44(2) = 160 - DF and

88 = 160 - DF and

-72 = -DF so

DF = 72 degrees, second choice down

There are 63,273,600 different license plates that can be made if each license plate consists of three letters followed by three digits or four letters followed by two digits.

There are two different types of license plates that can be made: one with three letters followed by three digits and one with four letters followed by two digits. To find the total number of different license plates that can be made, we need to calculate the number of possibilities for each type of license plate and then add them together.

For the first type of license plate (three letters followed by three digits), there are 26 possibilities for each letter and 10 possibilities for each digit. So the total number of different license plates of this type is:
26 × 26 × 26 × 10 × 10 × 10 = 17,576,000
For the second type of license plate (four letters followed by two digits), there are 26 possibilities for each letter and 10 possibilities for each digit. So the total number of different license plates of this type is:
26 × 26 × 26 × 26 × 10 × 10 = 45,697,600

Adding these two numbers together gives us the total number of different license plates that can be made:
17,576,000 + 45,697,600 = 63,273,600
Therefore, there are 63,273,600 different license plates that can be made if each license plate consists of three letters followed by three digits or four letters followed by two digits.

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Answer: B

Step-by-step explanation:

The curvature of r(t) = (2+², In(t), t In(t)) at the point (2, 0, 0) is 17√69. Hence, the correct option is (B) 69√69.

Given that r(t) = (2t2, In(t), t In(t))

Find r'(t) and r"(t).r'(t) = < 4t ,

ln(t) +1>r"(t) = <4-12-17 >

Find the curvature of r(t) = (2+², In(t), t In(t)) at the point (2, 0, 0).

Now, r(t) = (2t2, In(t), t In(t))

Differentiating w.r.t t, we get

r'(t) = < 4t , ln(t) +1>

Again differentiating r'(t), we get

r"(t) = <4-12-17 >

Now, to find the curvature of r(t), we have the following formula:

Curvature formula:

k = |r'(t) × r"(t)| / |r'(t)|3

At the point (2, 0, 0), r(t) = (2+², In(t), t In(t))

Hence, r'(t) = < 4t,

ln(t) +1> r'(2) = <8,1> and

r"(t) = <4-12-17 >

r"(2) = <-12, -17>

Plugging these values in the curvature formula, we have k

= |r'(t) × r"(t)| / |r'(t)|3k

= |(8 * (-12), 1 * (-17), 8 * (-17))| / |(8, 1)|3

k = 17√69

The curvature of r(t) = (2+², In(t), t In(t)) at the point (2, 0, 0) is 17√69. Hence, the correct option is (B) 69√69.

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Answer:  Simplify the expression.

12x+6

Step-by-step explanation:

your answer is 12x+6

The above question is a mathematical proof of the relationship between Lines and angles related to a Rhombus. See the proof below.

We know,

A Rhombus is a parallelogram with four sides (that is a quadrilateral). It's sides however are all of equal length.

we have,

∠DEC ≅ ∠BFC  Reason = All Right Angles with Equal dimensions are congruent.

∠C ≅ ∠C  Reason = It is the same angle for the two Right angles above which are congruent, hence Reflexive Property.

Δ DEC ≅ Δ BFC  Reason = Angle Angle Side. The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.

 ≅   Reason = The corresponding parts of congruent triangles are congruent. Also, it is a parallelogram with all congruent sides.

ABCD is a Rhombus Reason = Its sides are all congruent.

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complete question:

Given: ABCD is a parallelogram, FC is congruent to EC, DE bisects BC and BF bisects DC Prove: ABCD is a rhombus

The order of operations is a set of rules that dictate the sequence in which mathematical operations should be performed in a mathematical expression. An order of operations worksheet is a practice tool for students to test their understanding of the order of operations, and helps them develop their ability to solve mathematical expressions accurately and consistently.

Order of operations ensures that mathematical expressions are solved consistently and accurately. It typically consists of a series of mathematical expressions that the student must solve, following the order of operations. The order of operations is often remembered by the acronym "PEMDAS", which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). The main purpose of an order of operations worksheet is to help students develop their understanding of the order of operations, so they can solve mathematical expressions accurately and consistently.

It's important to note that the order of operations is a fundamental concept in mathematics and is used in many other areas of mathematics, including algebra and calculus. Therefore, it's crucial that students master the order of operations early on in their mathematical studies. An order of operations worksheet can be a valuable tool for helping students do just that.

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