1.Find the length s. Round the answer to three decimal places.

Step-by-step explanation:

the answer for that question is letter D

Step-by-step explanation:

I think it's A.............

Answer:

The prediction for the population in 2012 will be of 324.9 million.

Step-by-step explanation:

Exponential equation for population growth:

Considering that the population growth varies directly with time, it's value after t years is given by:

[tex]P(t) = P(0)e^{kt}[/tex]

In which P(0) is the initial value and k is the growth rate.

The population of the United States in 1990 was approximately 249 million

This means that [tex]P(0) = 249[/tex], so:

[tex]P(t) = P(0)e^{kt}[/tex]

[tex]P(t) = 249e^{kt}[/tex]

In 2000, 281 million.

2000 - 1990 = 10, so [tex]P(10) = 281[/tex]. We use this to find k.

[tex]P(t) = 249e^{kt}[/tex]

[tex]281 = 249e^{10k}[/tex]

[tex]e^{10k} = \frac{281}{249}[/tex]

[tex]\ln{e^{10k}} = \ln{\frac{281}{249}}[/tex]

[tex]10k = \ln{\frac{281}{249}}[/tex]

[tex]k = \frac{\ln{\frac{281}{249}}}{10}[/tex]

[tex]k = 0.0121[/tex]

So

[tex]P(t) = 249e^{0.0121t}[/tex]

Use this information to predict the population for 2012.

2012 - 1990 = 22, so this is P(22).

[tex]P(22) = 249e^{0.0121*22} = 324.9[/tex]

The prediction for the population in 2012 will be of 324.9 million.

Answer: 45 degrees

Step-by-step explanation:

We know that :

[tex]\bigstar \ \ \boxed{\sf{sin\theta = \dfrac{Opposite \ Side}{Hypotenuse}}}[/tex]

From the figure, We can notice that the side which is opposite to θ is 15 units

⇒   Opposite side = 15

We need to find the Length of Hypotenuse using Pythagorean theorem which is :

⊕   (Hypotenuse)² = (1st Leg)² + (2nd Leg)²

⇒   (Hypotenuse)² = (8)² + (15)²

⇒   (Hypotenuse)² = 64 + 225

⇒   (Hypotenuse)² = 289

⇒   Hypotenuse = Square root of 289

⇒   Hypotenuse = 17

[tex]\sf{\implies sin\theta = \dfrac{15}{17}}[/tex]

Answer:

4-(-7)=11

-4-7=-11

-4+7=3

-7-4=-11

so neither 3 choices work

hope this helps

have a good day :)

Step-by-step explanation:

Given:

Total number of students = 6

Number of female students = 4

Number of male students = 2

To find:

Total number of outcomes if 3 students are chosen at random (Should i find the probability of something?)

Steps:

To find the total number of outcomes, we need to list the outcomes

Outcomes = {M,M,F} , {M,F,F} , {F,F,F}

Therefore, the total number of outcomes if 3 students are chosen at random is 3, if we don't consider order.

Could you elaborate the question a bit more if i made a mistake of what to find.

The graph of the inequality is added as an attachment and a solution is (1, 2)

From the question, we have the following parameters that can be used in our computation:

2x + 4y > 0

−x + 5y > 0

The above expression is a system of inequalities where

The inequalities in the system are linear inequalities

Next, we plot the graph

One of the points in the shaded region is (1, 2)

See attachment for the graph of the inequality

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Answer:

y=to 4x-3 so therefore

it will be

4x-3=-x-13

4x+x=3-13

5x= -10

x=-2

u subtitute

y=

Answer:

20/9

Step-by-step explanation:

20 quarts : 9 gallons

20/9(1 is the HCF of both values)

20/9

Answer:

156 were there on the fourth day.

Step-by-step explanation:

125% of the number she received on the previous day

This means that the previous day number is multiplied the 125%/100% = 1.25.

64 responses the first day

This means that the number of responses after x days is given by:

[tex]R(x) = 64(1.25)^x[/tex]

How many were there on the fourth day?

This is R(4). So

[tex]R(4) = 64(1.25)^4 = 156[/tex]

156 were there on the fourth day.

Answer:

125

Step-by-step explanation:

forth term in a sequence =9

domain=set of all natural number

(4,9) lies in a graph

Answer:

Solution given:

–3, 5, –7, 9, –11, …are in a sequence

domain=set of all natural number.

forth term in a sequence =9

(4,9) lies in a graph.

and

f(5)=2

f(4)=9

Hence

The domain is set of inetegers Z .as -3 is not N set member .

The sequence has infinite terms

B and D are correct

Answer:

all except for D. he can build A, B, C and E out of the available pieces of fence.

but A violates the overall goal of a circumference of 30ft.

and E violates the overall goal of the garden having 4 sides.

D cannot be built, because it would require 3 pieces of 9 ft (and we have only 2).

Answer: All except for D.

Step-by-step explanation: I would make one, but someone has already made a decent explanation.

Answer:

13.96units

Step-by-step explanation:

To get the length of CD, we will use the cosine rule as shown:

CD² = DE²+CE²-2(DE)(CE)cos m<E

Substitute the given values

CD² = 14²+9²-2(14)(9)cos71

CD² = 196 + 81 - 252cos71

CD² =277 - 252cos71

CD² = 277 - 82.0431

CD² = 194.95682

CD = √194.95682

CD = 13.96 units

Hence the length of CD of 13.96units

Answer:

Slope = - 2.5

Step-by-step explanation:

A right angled triangle is drawn to meet the best fit line at any point on the graph,, the point at which the triangle meets the best fit line, provides the values for the rise and run used to calculate the slope, the ris ubsyge cgbage in y values and run is the change in x values ;

Rise, y2 = - 1 ; y2 = 4

Run ; x2 = 3 ; x1 = 1

Rise = y2 - y1 = - 1 - 4 = - 5

Run = x2 - x1 = 3 - 1 = 2

Slope = Rise / Run = - 5 / 2 = - 2.5

Step-by-step explanation:

hope this help you.........

Answer:

17

Step-by-step explanation:

2a+30 = 4a-4

+4 +4

2a+34 = 4a

-2a -2a

34 = 2a

÷2 ÷2

a=17

Hope this helps! :)

Answer:

A = 17

Step-by-step explanation:

Opposite angles are congruent in a parallelogram

Hence 2a + 30 = 4a - 4

( Note that we've just created an equation that we can use to solve for a)

We now solve for a

2a + 30 = 4a - 4

Add 4 to both sides

2a + 34 = 4a

Subtract 2a from both sides

34 = 2a

Divide both sides by 2

a = 17

Answer:

25,31,37

Step-by-step explanation:

Answer:

X=0

Y= -2

Step-by-step explanation:

Y+2=x

Y+10=2x+8

Y+2=x

Y+10=2(y+2)+8

Y+10=2y+12

Y-2y=-10+12

Y=-2

Answer:

The absolute minimum value is "[tex]-\frac{21}{4}[/tex]" and the absolute maximum value is "[tex]15[/tex]".

Step-by-step explanation:

Given:

[tex]f(x)=x^2-x-5[/tex]

on,

[tex][0,5][/tex]

By differentiating it, we get

⇒ [tex]f'(x)=2x-1[/tex]

Set [tex]f'(x)=0[/tex]

then,

⇒ [tex]2x-1=0[/tex]

          [tex]2x=1[/tex]

            [tex]x=\frac{1}{2}[/tex] (Critical point)

When x=0,

⇒ [tex]f(x)=-5[/tex]

When [tex]x=\frac{1}{2}[/tex],

⇒ [tex]f(x)=-\frac{21}{4}[/tex] (Absolute minimum)

When [tex]x=5[/tex]

⇒ [tex]f(x)=15[/tex] (Absolute maximum)

Answer:

-6 and -7

Step-by-step explanation:

Given

-32/5

it can be write :

[tex]\frac{-32}{5} =-6.4[/tex]

Therefore, can see on graph -6.4 lies on number line between -6 and -7

Step-by-step explanation:

=>>. Hello mate. (◕ᴗ◕✿)

= Given :-

perimeter of traingle = 58 feet

Perimeter of traingle = sum of all three sides

=> A/q. ,

( x ) + ( 2x - 8 ) + ( x + 2) = 58. ✓✓✓

x + 2x - 8 + x + 2 = 58

=>. 4x - 6 = 58

=> 4x = 58 + 6

=> 4x = 64

=>. x = 64/4

=|. x = 16 feet

Hope it helps you.......

There is a compression from the graph of the parent function to have g(x) = (1/2x)^2 or 1/4x^2

Transformation is a process of changing the position of an object on the xy-plane

Given the parent function for a quadratic equation given as h(x) = x²

If you look at g(x), you can see that there is a compression from the graph of the parent function to have g(x) = (1/2x)^2 or 1/4x^2

Compression occur for the coefficient of x^2 that is less than 1

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Answer:

The number of bacteria after t hours is given by: [tex]y(t) = 100e^{0.3219t}[/tex]

Step-by-step explanation:

Amount of bacteria after t hours:

Is given by the following equation:

[tex]y(t) = ae^{kt}[/tex]

In which a is the initial value and k is the constant of growth.

There are 100 bacteria initially

This means that [tex]a = 100[/tex]. So

[tex]y(t) = ae^{kt}[/tex]

[tex]y(t) = 100e^{kt}[/tex]

500 bacteria five hours later.

This means that [tex]y(5) = 500[/tex]. We use this to find k. So

[tex]y(t) = 100e^{kt}[/tex]

[tex]500 = 100e^{5k}[/tex]

[tex]e^{5k} = 5[/tex]

[tex]\ln{e^{5k}} = \ln{5}[/tex]

[tex]5k = \ln{5}[/tex]

[tex]k = \frac{\ln{5}}{5}[/tex]

[tex]k = 0.3219[/tex]

So

[tex]y(t) = 100e^{kt}[/tex]

[tex]y(t) = 100e^{0.3219t}[/tex]

The number of bacteria after t hours is given by: [tex]y(t) = 100e^{0.3219t}[/tex]

Answer:

Logan bought the stocks at $2,750,000

Step-by-step explanation:

So according to the question $3,437,500 is the amount at which 25% interest was made

This means that the original value(100% value) has been increased to 125%(thus 100+25%)

By using ratio and proportion,

If 125%-$3437500

then 100% ={100%/125%}×$3,437,50

=$2,750,000

Answer:

The shape from the cross-section resulting from the cut would be a Rhombus

Step-by-step explanation:

Edmentum Plato users!

The shape of the cross-section resulting from the cut is C. Rhombus.

A rhombus simply means a shape that has opposite sides to be parallel and the sides are equal.

Here, the information states that the edges of the object in the diagram are equal in length and that the object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges.

Therefore, the shape of the cross-section resulting from the cut is a rhombus.

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Answer:

1. There is a weak positive correlation.

Step-by-step explanation:

The correlation coefficient shows the relation of points in a data set. It is between 0 and 1 or 0 and -1. If the coefficient is closer to 0 then the correlation is weak. So, since 0.35 is closer to 0 than 1 it must be a weak correlation. Additionally, because it is positive the correlation must also be positive. A positive correlation means that the line of best fit will have a positive slope.

The term that best describes the point V is (d) the centroid.

The centroid is the centre point of the object. The point in which the three medians of the triangle intersect is known as the centroid of a triangle. It is also defined as the point of intersection of all the three medians. The median is a line that joins the midpoint of a side and the opposite vertex of the triangle.

here, we have,

to determine the point V:

From the figure, we can see that:

The three lines drawn from point V divide the sides of the triangles into equal segments.

Also, the lines from point V are perpendicular to the sides.

The above description represents the definition of a centroid

Hence, the term that best describes the point V is (d) the centroid

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Answer:

I'm pretty sure it's 32

Step-by-step explanation:

hope this helpsb

Answer:6 1296720 1.29672 × 106

5 1296700 1.2967 × 106

4 1297000 1.297 × 106

3 1300000 1.30 × 106

2 1300000 1.3 × 106

1 1000000 1 × 106

Step-by-step explanation: