Question 35 of 40
A conservation biologist is observing a population of antelope affected by an
unknown virus. Initially there were 120 individuals but the population is now
decreasing by 6% per month. Which function models the number of antelope,
a, after n months?
A. 2 - 120(0.6)"
B. - 120(0.94)"
C. - - 120(0.4)"
D. - 12000.06)

Answer:

Use MATH.WAY, it will help with any math problem

Step-by-step explanation:

Answer:

1:3

Step-by-step explanation:

Divide both numbers by the same value to get the ratio

6/6=1

18/6=3

To get the smallest numbers you can get by dividing using the same value

So the ratio would be 1:3

Answer:

A. 9.4 m

Step-by-step explanation:

b²=13²-9²

= 169 - 81

= 88

b =√88 = 9.4 m

Answer:

bgh12.hcv2.3.23.52g3.2153.0.76810636302233..32.37gh

Step-by-step explanation:

Answer: x = 21

Step-by-step explanation:

5x + (3x + 12) = 180

8x + 12 = 180

8x = 168

168/8 = 21

Answer:

theres only a? wheres the rest?

is it 5 ft , 5ft and 5ft?

if so, the answer would be 125 ft

because, the formula is, side×side×side

and hence, 5×5×5 = 125

Step-by-step explanation:

2x - × + 4x

=5x

!!!!!!!!!!!

Answer:

x^20 please mark me brainliest

Step-by-step explanation:

Answer:

The equation of the parabola is [tex]y = -12\cdot x^{2}[/tex].

Step-by-step explanation:

Since the directrix is of the form [tex]y = a[/tex], the parabola is vertical. The vertex of the parabola ([tex]V(x,y)[/tex]) is the midpoint between the focus ([tex]F(x,y)[/tex]) and a point of the directrix ([tex]P(x,y)[/tex]), that is to say:

[tex]V(x,y) = \frac{1}{2}\cdot F(x,y) + \frac{1}{2}\cdot P(x,y)[/tex] (1)

If we know that [tex]F(x,y) = (0, -3)[/tex] and [tex]P(x,y) = (0, 3)[/tex], then the coordinates of the vertex of the parabola:

[tex]V(x,y) = \frac{1}{2}\cdot (0, -3) + \frac{1}{2}\cdot (0, 3)[/tex]

[tex]V(x,y) = (0, 0)[/tex]

The vertex factor ([tex]p[/tex]) is the distance of the focus with respect to the vertex:

[tex]p = \sqrt{[F(x,y)-V(x,y)]\,\bullet \,[F(x,y)-V(x,y)]}[/tex] (2)

If we know that [tex]F(x,y) = (0, -3)[/tex] and [tex]V(x,y) = (0, 0)[/tex], then the vertex factor is:

[tex]p = \sqrt{0^{2}+(-3)^{2}}[/tex]

[tex]p = -3[/tex]

The equation of the parabola in the vertex form is described below:

[tex]y - k = 4\cdot p \cdot (x-h)^{2}[/tex] (3)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]h, k[/tex] - Coordinates of the vertex.

If we know that [tex](h,k) = (0, 0)[/tex] and [tex]p = -3[/tex], then the equation of the parabola is [tex]y = -12\cdot x^{2}[/tex].

Answer:

60%

Step-by-step explanation:

3÷5= .6

.6 = 60%

Answer:

60%

Step-by-step explanation:

Answer:

Step-by-step explanation:

what is the meaning of  eliminated

Answer:

[tex]x = 2[/tex]

Step-by-step explanation:

Let's solve:

[tex]4x+22=6(x+3)[/tex]

Step 1: Simplify both sides of the equation.

[tex]4x+22=6(x+3) \\ 4x+22=(6)(x)+(6)(3)\\ (Distribute) \\ 4x+22=6x+18[/tex]

Step 2: Subtract 6x from both sides.

[tex]4x+22−6x=6x+18−6x\\ −2x+22=18[/tex]

Step 3: Subtract 22 from both sides.

[tex]−2x+22−22=18−22 \\ −2x=−4[/tex]

Step 4: Divide both sides by -2.

[tex] \frac{ - 2x}{ - 2} = \frac{ - 4}{ - 2} \\ x=2[/tex]

Answer:2

Step-by-step explanation:

Answer:Nope it’s irrational

Step-by-step explanation:

Answer:

nope. irrational my friend

Answer:

Step-by-step explanation:

Then,

(i) Breadth of upper rectangle = 2 units

Length of upper rectangle = 8 - 1 = 7 units

Therefore,

Area of the upper rectangle = 7 × 2 = 14 units2

(ii) Breadth of lower rectangle = 1 unit

Length of lower rectangle = 5 units

Therefore,

Area of the lower rectangle = 5 × 1 = 5 units2

Since,

Area of the figure is = Area of upper rectangle + Area of lower rectangle

= 14 units2 + 5 units2

= 19 units2 (Ans) (4th option)

Answer:

He gets 42 visitors 4 weeks after starting to build his website.

He gets 10 new visitors per week.

Step-by-step explanation:

Equation for the number of visitors:

The equation for the number of visitors Timmy's new website receives after t weeks is:

[tex]v(t) = 10t + b[/tex]

In which b is the number of visitors rightly after he starts.

Timmy is building a new website. Right after he starts, he has 2 visitors.

This means that [tex]b = 2[/tex], so:

[tex]v(t) = 10t + 2[/tex]

How many visitors does he get 4 weeks after starting to build his website?

This is v(4). So

[tex]v(4) = 10(4) + 2 = 40 + 2 = 42[/tex]

He gets 42 visitors 4 weeks after starting to build his website.

How any new visitors does he get per week?

After 0 weeks:

[tex]v(0) = 10(0) + 2 = 0 + 2 = 2[/tex]

After 1 week:

[tex]v(1) = 10(1) + 2 = 10 + 2 = 12[/tex]

2 weeks:

After 2 week:

[tex]v(2) = 10(2) + 2 = 20 + 2 = 22[/tex]

22 - 12 = 12 - 2 = 10

He gets 10 new visitors per week.

Answer:

The bottom is  11

The median is  12

Step-by-step explanation:

The median is the average of the top and bottom

(13+ 2x-3) /2 = 4x-16

Combine like terms

(10+2x)/2 = 4x-16

Divide by 2

5+x = 4x-16

Subtract x from each side

5+x-x = 4x-16-x

5 = 3x-16

Add 16 to each side

5+16 = 3x-16+16

21 = 3x

Divide by 3

21/3 = 3x/3

7 =x

The bottom is 2x-3 = 2*7-3 = 14-3 = 11

The median is 4x-16 = 4*7-16 = 28 -16 = 12

Answer:

YZ =  12, ML = 11

Step-by-step explanation:

The median is half the sum of the parallel bases, that is

YZ = [tex]\frac{KN+LM}{2}[/tex]

4x - 16 = [tex]\frac{13+2x-3}{2}[/tex] ( multiply both sides by 2 to clear the fraction )

8x - 32 = 10 + 2x ( subtract 2x from both sides )

6x - 32 = 10 ( add 32 to both sides )

6x = 42 ( divide both sides by 6 )

x = 7

Then

YZ = 4x - 16 = 4(7) - 16 = 28 - 16 = 12

ML = 2x - 3 = 2(7) - 3 = 14 - 3 = 11

Answer:

Explanation:

2(1+5) = 2×6 = 12

Answer:

D. Speed (74) = 72.2

Step-by-step explanation:

Answer:

Points: (1,-1) (4,-1) (4,-3)

Step-by-step explanation:

Hope this helps

Answer:

(1,-1) (4,-1) (4,-3)

Step-by-step explanation:

bye have a good day

Answer:

96.56064 km

Step-by-step explanation:

1 mi = 1.609344 km

60 mi = 60 * 1.609344 km = 96.56064 km

Answer:

96 km

Step-by-step explanation:

mi /0.62137 = km

60 / 0.62137 = 96.56064 km

Answer:

D

Step-by-step explanation:

Use the image below- super helpful to know, memorize

Answer:

It's D

Step-by-step explanation:

I traced all of them, cut them out and folded them. D is the only one that doesn't make a full cube. :)

Answer:

( -1 , 5 )

Step-by-step explanation:

Solution = Coordinate where the two lines intersect

The two lines intersect at ( -1 , 5 )

Thus solution = ( -1 , 5 )

9514 1404 393

Answer:

  y = 2(x -2)^2 +1

Step-by-step explanation:

Start by factoring the leading coefficient from the x-terms.

  y = 2(x^2 -4x) +9

Now identify the coefficient of x, -4, and figure half of that: -2. Square this number and add it inside the parentheses. At the same time, subtract the equivalent value outside parentheses. (The leading coefficient must be taken into account.)

  y = 2(x^2 -4x +4) +9 -2(4)

Put in the desired form.

  y = 2(x -2)^2 +1

This matches vertex form ...

  y = a(x -h)^2 +k . . . . . . . . . vertical scale factor 'a'; vertex (h, k)

Answer:

You have to simplify the fraction and turn it into a decimal.

Step-by-step explanation:

Meaning: Make the fraction smaller and turn it into the correct decimal.

EXAMPLE:

2/4 simplified is 1/2

1/2 is equal to 0.50

Answer:

The 90% confidence interval for the proportion of all letters mailed in the United States that were delivered the day after they were mailed is (0.7426, 0.8374). The lower limit is 0.7426 while the upper limit is of 0.8374.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

Suppose that 158 out of a random sample of 200 letters mailed in the United States were delivered the day after they were mailed.

This means that [tex]n = 200, \pi = \frac{158}{200} = 0.79[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.79 - 1.645\sqrt{\frac{0.79*0.21}{200}} = 0.7426[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.79 + 1.645\sqrt{\frac{0.79*0.21}{200}} = 0.8374[/tex]

The 90% confidence interval for the proportion of all letters mailed in the United States that were delivered the day after they were mailed is (0.7426, 0.8374). The lower limit is 0.7426 while the upper limit is of 0.8374.

Answer:

1/8 has 1, 1/4 has 2, 3/8 has 3, 1/2 has 4, 5/8 has 2, and 3/4 has 3. Step-by-step explanation:

The least weight is

(one-sixteenth)

pounds and the greatest weight is

(three-fourths)

pounds.