The accompanying table shows the value of a car over time that was purchased for 14100 dollars, where x is years and y is the value of the car in dollars. Write an exponential regression equation for this set of data, rounding all coefficients to the nearest thousandth. Using this equation, determine the value of the car, to the nearest cent, after 15 years.

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Step-by-step explanation:

Answer:

After one year the population will be 33 deers, and after two years it will be 36 deers.

Step-by-step explanation:

Given that a population of 30 deer is introduced into a wildlife sanctuary, and it is estimated that the sanctuary can sustain up to 200 deer, and absent constraints, the population would grow by 10% per year, to predict the population after one year and after two years, the following calculations must be performed:

A)

30 x 1.1 = X

33 = X

B)

30 x 1.1 ^ 2 = X

30 x 1.21 = X

36.3 = X

Therefore, after one year the population will be 33 deers, and after two years it will be 36 deers.

Answer: The definition of a complementary angle is "Either of two angles whose sum is 90°." Thus the complementary angle for 4 is angle 5.

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Answer:

c

Step-by-step explanation:

Answer:

y = 5.66388 feet, (round that to whatever you need to round to)

Step-by-step explanation:

cos (51) = y/9

cos(51)*9=

y = 5.66388 feet

To Find :

The equation of the quadratic whose Vertex is at ( −4,−5) and passes through the point (−3, −7).

Solution :

A quadratic equation in vertex form is given by :

[tex]y = a(x-h)^2 + k[/tex]  

( Here, h, k is the vertex )

y = a(x-(-4))² + (-5)

y = a(x+4)² - 5

Now, putting (-3,-7) in above equation:

-7 = a( -3 + 4 )² - 5

a(1)² = -2

a = -2

Therefore, the equation of the quadratic is y = -2(x+4)² - 5 .

Answer:

P(A n B) = 0

Step-by-step explanation:

Given

[tex]A \to[/tex] Traces of TNT detected

[tex]B \to[/tex] No traces of TNT

Required

Probability of false positive

From the question, we understand that A and B must occur to get a positive and the result is 0.

The probability of A and B is represented as: P(A n B)

Include the result (0), we get:

P(A n B) = 0

Answer: 0.8<800

Step-by-step explanation:

Answer: Choice C

h(x) = -x^4 + 2x^3 + 3x^2 + 4x + 5

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

Explanation:

When reflecting the function f(x) over the y axis, we replace every x with -x and simplify like so

f(x) = -x^4 - 2x^3 + 3x^2 - 4x + 5

f(-x) = -(-x)^4 - 2(-x)^3 + 3(-x)^2 - 4(-x) + 5

f(-x) = -x^4 + 2x^3 + 3x^2 + 4x + 5

h(x) = -x^4 + 2x^3 + 3x^2 + 4x + 5

Note the sign changes that occur for the terms that have odd exponents (the terms -2x^3 and -4x become +2x^3 and +4x); while the even exponent terms keep the same sign.

The reason why we replace every x with -x is because of the examples mentioned below

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Examples:

The point (1,2) moves to (-1,2) after a y axis reflection

Similarly, (-5,7) moves to (5,7) after a y axis reflection.

As you can see, the y coordinate stays the same but the x coordinate flips in sign from negative to positive or vice versa. This is the direct reason for the replacement of every x with -x.

Answer:

This probability is the p-value of Z given [tex]Z = \frac{X - \mu}{\sigma}[/tex], considering X as less than X seconds, [tex]\mu[/tex] as the mean and [tex]\sigma[/tex] as the standard deviation.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Mean [tex]\mu[/tex], standard deviation [tex]\sigma[/tex].

Find the probability that a randomly selected high school student can run the mile in less than X seconds.

This probability is the p-value of Z given [tex]Z = \frac{X - \mu}{\sigma}[/tex], considering X as less than X seconds, [tex]\mu[/tex] as the mean and [tex]\sigma[/tex] as the standard deviation.

Answer:

1 - b

2 - a

3 - c

Step-by-step explanation:

Answer:

The ratio of volumes is of 27.

Step-by-step explanation:

Volume of a cuboid:

A cuboid has dimensions length l, width w and height h. The volume is given by:

[tex]V = lwh[/tex]

Multiplying dimensions by 3:

This means that l = 3l, w = 3w, h = 3h. So

[tex]V_m = 3l(3w)(3h) = 3*3*3*lwh = 27lwh[/tex]

Ratio of volumes:

[tex]\frac{V_m}{V} = \frac{27lwh}{lwh} = 27[/tex]

The ratio of volumes is of 27.

Answer:

64 ÷ 16 = 4

Step-by-step explanation:

Using PEMDAS, you first do the parenthesis, which equals 64. Then you do the exponents, which 4² equals 16. Then you divide 64 by 16, which equals 4.

Answer :

The answer is A.

Answer:

A) 140

Step-by-step explanation:

since angle RA is 40

and angle one seems the same so

<1+<2=140

40+<2=180

-40 -40

<2=140

Answer:

D

Step-by-step explanation:

Multiplying the first equation by 2 yields 6w - 8z = 16.

Multiplying the second equation by 3 yields 6w + 9z = -18.

Subtracting the two equations gives -17z = 34, and thus z = -2.

Substituting this back into the first equation gives that 3w+8=8, and thus w=0.

9514 1404 393

Answer:

  18.3 years

Step-by-step explanation:

You want ...

  A/P = 3 = e^(rt) . . . for r = 0.06

Taking the natural log, this gives ...

  ln(3) = 0.06t

  t = ln(3)/0.06 ≈ 18.31

It will take about 18.3 years for the value to triple.

the answer is the letter A

Answer:

20/500 and 25/625

Step-by-step explanation:

1. 20 of 500 failed, which is 20/500

2. 25 of 625 failed, which is 25/625

Answer:

its d

Step-by-step explanation:

i did the test

Answer:

1 ½ scoops more then white sugar

Answer:

  D.  7°C

Step-by-step explanation:

The difference between two numbers is the distance between them on the number line.

  4 -(-3) = 4 +3 = 7

Temperatures -3°C and +4°C are 7°C apart. The difference between the temperatures is 7°C.

_____

Additional comment

Often, in math, when we talk about the difference between A and B, we mean specifically the value (A-B). In plain English, when we talk about the difference between A and B, we mean the positive difference--the value obtained by subtracting the smaller number from the larger one.

Here, the difference between New York and London temperatures would ordinarily be interpreted in math to be -3 -4 = -7°C. That is not an answer choice, so we must assume the positive difference, 7°C, is intended.

Answer:

Mr. Reid will be able to fit 81 boxes that each has a volume of 1 cubic foot in his bin, since it has a capacity of 84 cubic feet.

Step-by-step explanation:

Given that Mr. Reid's storage bin is 4 feet long, 3 feet wide, and 7 feet tall, to determine if he can fit 81 boxes that each has a volume of 1 cubic foot in his bin, the following calculation, knowing that the volume of a rectangular prism arises from multiplying its height by its width and its length:

4 x 3 x 7 = X

12 x 7 = X

84 = X

84 - (81 x 1) = X

84 - 81 = X

3 = X

Therefore, Mr. Reid will be able to fit 81 boxes that each has a volume of 1 cubic foot in his bin, since it has a capacity of 84 cubic feet.

in 12 key 5 black keys are appearing so consider x key will appear in 120 keys

120/x = 12/5

solving further,

x= 50

Answer - If the pattern shown continues, 50 black keys appear on a pipe organ with a total of 120 keys!

Answer:

Area of a Parallelogram = Base x height

2½ can also be expressed as 5/2

So Bxh = 3 x 5/2

Area = 15/2

Or 7½ft²

Answer:

(f+g)(x) =  5^x+5x-6

Step-by-step explanation:

f(x)=5^x+2x

g(x)=3x-6

(f+g)(x) =  5^x+2x+3x-6

Combine like terms

(f+g)(x) =  5^x+5x-6

Answer:

3 & -2

Step-by-step explanation:

(2x – 1)^2 = 25

2x -1 = ±√25

2x -1 = ± 5

• 2x = 5+1

2x = 6

x = 3

• 2x = -5+1

2x = -4

x = -2

Answer:

Solution given:

(2x – 1)^2 = 25.

square root on both side

[tex]\sqrt{(2x-1)²}=\sqrt{25}[/tex]

2x-1=±5

Taking positive

2x-1=+5

2x=+5+1

x=6/2=3

Taking negative

2x-1=-5

2x=-5+1

x=-4/2

x=-2

The two Solution is x=-2 and x=3.

Answer:

x = -2, y = 3.

as an ordered pair it is (-2, 3).

Step-by-step explanation:

y= 2x + 7

y= -4x - 5

As both right hand expression are = y we have:

2x + 7 = -4x - 5

6x = -12

x = -2

Substitute for x in equation 1:

y = 2(-2) + 7 = 3.

The answer would be 2/7 if 2/7 is divided by 1/3 = 6/7 after applying the concept of basic arithmetic operation.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

divided by 1/3 = 6/7

Let the missing number is:

x divided by 1/3 = 6/7

x = (6/7)(1/3)

x = 2/7

Thus, the answer would be 2/7 if 2/7 is divided by 1/3 = 6/7 after applying the concept of basic arithmetic operation.

Learn more about the fraction here:

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