One. Hundred deer were released into a wildlife preserve. The population of deer over a certain number of years is shown.

(Picture for table included)

The polynomial equation that models these data is P(x)=2x^4+46x^2+100

After how many years does the deer population decline to zero?

A. 4
B. 3
C. 6
D. 5

Answer:

- 4+23e

Step-by-step explanation:

Answer:

option  3

Step-by-step explanation:

C: An expression that reads three times ten, plus four times one, plus five times one-tenth, plus six times one-hundredth, plus seven times one-thousandth

The required requirement of the density curve is should be equal to 1 and the ordinate should not be zero.

Given that,
Two requirements of a density curve are to be determined.

A density curve is defined as a curve on a graph that represents the distribution of values in a dataset.

Here,

The two requirements of a density curve should be,

a. The area under the density curve should be equal to 1.

b. The ordinate of the curve should not be zero i.e. they should always have the vertical height.

Thus, the required requirement of the density curve is mentioned above.

Learn more about density curves:

https://brainly.com/question/18345488
#SPJ4

Applying the angle addition postulate, the measure of angle ROS is: 16°

Given the following angle measures:

m<QOS = 49°

m<POR = 56°

m<POQ = 23°

Find the measure of  angle QOR:

m<QOR = m<POR - m<POQ [angle addition postulate]

Substitute the values into the equation

m<QOR = 56 - 23

m<QOR = 33°

Find the measure of angle ROS:

m<ROS = m<QOS - m<QOR [angle addition postulate]

Substitute the values into the equation

m<ROS = 49 - 33

m<ROS = 16°

Therefore, applying the angle addition postulate, the measure of angle ROS is: 16°

Learn more about the angle addition postulate on:

https://brainly.com/question/24782727

#SPJ1

Answer: I believe the answer is 86.884

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The box of chocolates which contain 12.5% caramels has C. 40 pieces of chocolate in the box.

To solve this exercise the percentage formula and the procedure to be applied is as follows:

n= (% * nt) / 100

Where

Information about the problem:

Using the percentage formulate and isolating the total of the number portion (nt), we get:

n= (% * nt) / 100

nt = (n*100) / %

nt = (5 * 100) / 12.5

nt = 40

C. There are 40 pieces of chocolate in the box.

Percentage is defined as the number that represents a ratio of a total that is divided by 100 equal parts. It is represented by the symbol %.

Learn more about percentage at: brainly.com/question/24877689

#SPJ4

Answer: The cat has left over the milk is 3.625 cups

Step-by-step explanation:

Amount of cups of milk=3(7/8) cups

That means, 3(7/8) cups= 31/8 cups

Amount of milk cat gave=1/4 cups

The amount of left over the milk :

Subtract with this values

=(31/8) -(1/4)

=3.875-0.25

=3.625

The cat has left over the milk is 3.625 cups

Learn about more information https://brainly.in/question/17451921

 #SPJ9

The consecutive even integers are 8, 10 and 12.

Let the integers be x, x + 2, and x + 4.

Therefore, the equation will be:

6(x) = x + 2 + x + 4 + 26

6x = 2x + 32

Collect like term

6x - 2x = 32

4x = 32

Divide

x = 32/4.

x = 8

The numbers are 8, 10 and 12.

Learn more about integers on:

brainly.com/question/17695139

#SPJ1

The gradient is -4/5, so the equation is of the form

[tex]y=-\frac{4}{5}x+c[/tex]

Substituting in the coordinates (4, -2),

[tex]-2=-\frac{4}{5}(4)+c \\ \\ c=\frac{6}{5} \\ \\ \therefore y=-\frac{4}{5}x+\frac{6}{5}[/tex]

10 m/s can be expressed as 36km/h.

Here, we are given an expression for speed, that is: 10 meter per second.

Now, as per the rules of mathematics,

1 kilometer = 1000 meters

⇒ 1 meter = 1/1000 kilometers

or 1 meter = 0.001 kilometers

and also, 1 hour = 60 mins

and 1 min = 60 seconds

⇒ 60 mins = 60 × 60 seconds

= 3600 seconds

Thus, 1 hour = 60 mins = 3600 seconds

⇒ 1 second = 1/3600 hours

Now, we need to convert meter per second into kilometer per hour,

1 meter/ 1 second =  [tex]\frac{0.001}{\frac{1}{3600} }[/tex]

= (0.001 × 3600)/ 1

= 3.6

This 1 meter per second = 3.6 kilometer per hour

⇒ 10 meter per second = 3.6 × 10 = 36 kilometers per hour

Thus, 10 m/s is 36km/h.

Learn more about conversion factors here-

https://brainly.com/question/340715

#SPJ9

Answer: x=-1.75

Step-by-step explanation:

(6x +12) -2(x-7)= 19

6x+12-2x-(-14)=19

6x+12-2x+14=19

6x-2x+12+14=19

4x+26=19

4x+26-26=19-26

4x=-7

x=-7/4

x=-1.75

There are 36 males and 45 females in the sales field.

Ratio of the number:

Ratios compare two numbers, usually by dividing them.

For example,

If you are comparing one data point (A) to another data point (B), your formula would be

=> A/B.

This means you are dividing information A by information B.

Given.

Suppose that the ratio of males to females in the sales field of a large company is 4:5.

Total number of representatives = 81.

Now, we need to find the number of males and number of females.

Let x be the number of representatives.

So, based on the ratio we have written this as,

=> 4x : 5x = 81

So, the total number of representatives is,

=> 4x + 5x = 81

=> 9x = 81

=> x = 81/9

=> x = 9

So, the number of males is

=> 4x => 4(9) = 36

And the number of females is,

=> 5x => 5(9) = 45

Therefore, there are 36 males and 45 females in the sales field.

To know more about Ratio of the number here.

https://brainly.com/question/22645486

#SPJ4

1 2/5 and 2 2/5 are  two mixed numbers added together equals 3 4/5.

What is a mixed fraction?

What is a mixed number improper fraction?

A mixed fraction is one that has both a correct fraction and a whole number portion, and whose value is consistently greater than 1.

= 1 2/5 + 2 2/5

= 7/5 + 12/5

= 19/5

= 3 4/5

Learn more about mixed fraction

brainly.com/question/2753661

#SPJ4

62°

A line is a simple, one-dimensional shape that can go on forever in the opposing directions. A line may be vertical or horizontal. It can be drawn either top to bottom or left to right.

When the ends of two rays collide at a single location, an angle is the geometry that results. They are measured in degrees (°) or radians. A 360-degree angle is the same as a whole rotation. It is symbolized by the character "∠"

∠1+∠2 = 35° +27°

             =62°

To learn more about lines and angles, refer to https://brainly.com/question/25716982

#SPJ9

The equation of the straight line is 8x - y = 85.

It is given that the slope of the line is 8 and passes through the point (3,11).

We have to find the equation of the line.

We know that,

Equation of a line is :-

[tex]y -y_1 = m (x - x_1)[/tex]

Where,

x and y are variables

m is the slope of the line

[tex](x_1,y_1)[/tex] are the coordinates of the point that passes through the line.

Here,

[tex](x_1,y_1)[/tex] = (3,11)

m = 8

Hence,

Equation of the line = y - 3 = 8(x - 11)

y - 3 = 8x - 88

8x - y = -3 + 88

8x - y = 85

To learn more about the equation of the line, here:-

https://brainly.com/question/21511618

#SPJ4

Using Distributive Property, the product of 6x13 is 78.

The distributive property states that multiplying the sum of two or more addends by a number yields the same outcome as multiplying each addend separately by the number and combining the resulting products.

The steps of distributive property are -

                                                 6 × 13

                                              6 × (10 + 3)

                                          (6 × 10) + (6 × 3)

                                  ((3 + 3) × (5 +5)) + ((3 + 3) × 3)

                 (3 × 5 + 3 × 5 + 3 × 5 + 3 × 5 ) + ((3 × 3) + (3 × 3))

                                     (15 + 15 +15 + 15 ) + (9 + 9)

                                                  60 + 18

                                                    = 78

To learn more about distributive property from given link

https://brainly.com/question/2807928

#SPJ4

Answer:

[tex]30 \div 5[/tex]

Way A

• 5 divided by 0 is 0.

• 5 divided by 3 is 0.6, flip the number, and you get 6.

Way B

• Divide 30 by 5 to get 6.

Answer: 12:2, 18:3, 24:4

Step-by-step explanation: You can multiply 6 by 2, 3, and 4 because the graph has 4 columns. Then multiply the top by 2, 3, and 4,

The correlation is a significant non-zero value.

The number of samples is n.

n = 25

The correlation of the coefficient is r.

r = -0.40

When correlation is significant,

[tex]H _{0} : p = 0[/tex]

When correlation is non-zero,

[tex]H _{ \alpha } : p ≠0[/tex]

The test statistic is,

[tex]TS = \frac{r \times \sqrt{n - 2} }{ \sqrt{1 - r {}^{2} } } [/tex]

[tex] = \frac{0.4 \times \sqrt{25 - 2} }{ \sqrt{1 - ( - 0.4) ^{2} } } [/tex]

[tex] = \frac{ - 1.918 }{ \sqrt{0.84} } [/tex]

= -2.093

The test statistic is -2.093.

The correlation is,

[tex]H _{ \alpha } : - 2.93 ≠0[/tex]

The correlation is not equal to zero and is significant.

Therefore, the correlation is a significant non-zero value.

To know more about correlation, refer to the below link:

https://brainly.com/question/13956667

#SPJ4

Answer: 7.247 x 10^6

Step-by-step explanation:

(7.26x10^6)-(1.3x10^4)

⇒ 7.247 x 10^6

Scientific notation of given expression = 7.247× 10⁶

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.

For example,

650,000,000 can be written in scientific notation as 6.5 ✕ 10⁸.

Given expression

(7.26x10⁶)-(1.3x10⁴)

It can be written as

= (7.26×1000000) - (1.3 × 10000)

= 7260000 - 13000
= 7247000

= 7.247× 10⁶

Hence,  7.247× 10⁶ is the scientific notation of given expression.

Learn more about scientific notation here:

https://brainly.com/question/1705769

#SPJ2

Based on the context, the range of this function is given by: C. [−7, 7]

A range can be defined as the set of all real numbers that connects with the elements of a domain. This ultimately implies that, a range refers to the set of all possible output numerical values, which are shown on the y-axis of a graph.

The vertical extent of a graph represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph of function f(x) shown, we can infer and logically deduce the following:

Range = [−7, 7]

Read more on range here: brainly.com/question/17295757

#SPJ1

The cost of renting the bike will rise at a rate of (B) $2.5 per hour as the number of rent hours increases.

To find what is the rate of change in the cost to rent the bike with respect to the number of rent hours:

Therefore, the cost of renting the bike will rise at a rate of (B) $2.5 per hour as the number of rent hours increases.

Know more about linear function here:

https://brainly.com/question/4025726

#SPJ4

The correct question is given below:

To rent a bike, Max pays a flat rate of $5 plus an hourly rental fee. The graph shows the amount, C, in dollars, that Max pays based on the number of hours, t, that Max rents the bike. What is the rate of change in the cost to rent the bike with respect to the number of rental hours?

(A) $5 per hour

(B) $2.50 per hour

(C) $2 per hour

(D) $7.50 per hour

Answer:

It would still be 1408

Step-by-step explanation:

There are no decimal points to round to the nearest hundreth

Answer:

1408.00

Step-by-step explanation:

1408.00    ==>the underlined digit which is 1 digit away from the decimal is the hundredth digit.

The solution of the inequality is (x > - 8 and x < 2) or (x > 6 and x < 16).

Herein we find an inequality that involves two absolute values. Absolute values are defined by the following piecewise functions:

Now we proceed to solve the inequality given:

||x - 4| - 7| < 5

- 5 < |x - 4| - 7 < 5

0 < |x - 4| - 2 < 10

|x - 4| - 2 > 0 and |x - 4| - 2 < 10

Case 1: |x - 4| - 2 > 0

|x - 4| > 2

x - 4 > 2 and x - 4 < - 2

x > 6 and x < 2

Case 2: |x - 4| - 2 < 10

|x - 4| < 12

x - 4 < 12 and x - 4 > - 12

x < 16 and x > - 8

The solution of the inequality is (x > - 8 and x < 2) or (x > 6 and x < 16).

To learn more on inequalities: https://brainly.com/question/20383699

#SPJ1

The expression of 15km as a percentage of 120km as required in the task content is; 12.5%

Since it follows from convention that a percentage is a representation of an entity as a fraction of a hundred partitions.

On this note, the percentage representation is such that;

15km of 120km is;

(15/120) × 100%

0.125 × 100%

= 12.5%.

Ultimately, 15km is 12.5% of 120km.

Read more on percentages;

https://brainly.com/question/843074

#SPJ1

Answer:

Answer 2 1/7 +3/7(3x-5)= -4

            2 1/7 + 9/7x-15/7= -4

           0+ 9/7x = -4

               x= -28/9

Step-by-step explanation: