A herd of cattle started with a population of 10,000 and was 20,000 after 10 years. If the population was growing exponentially, what was the growth rate?

Answer:

[tex]4^m[/tex]

Step-by-step explanation:

When you exponent an exponent, you multiply the powers together.

When you divide exponents, you subtract the powers.

Step 1: Convert to same base

log₄64 = 3

Step 2: Rewrite equation

[tex]\frac{(4^3)^{0.5m}}{4^{0.5m}}[/tex]

Step 3: Simplify

[tex]\frac{4^{1.5m}}{4^{0.5m}}[/tex]

Step 4: Simplify

[tex]4^m[/tex]

Answer:

Hey there!

We have the equation: y2-y1/x2-x1.

So, we have: 8-2/8-6.

6/2, or 3.

Hope this helps!

Complete question:

Dr. Lyte wishes to study speed of Reaction Time to press a button in response to the onset of a lamp. The independent variable (V) is the color of the light produced by the lamp (red, orange, yellow, green, or blue) Since only 10 participants are available, she elects to administer the IV within-subjects with all 10 participants being exposed to all five levels of the color variable. The order of the color of the light presentation is to be counterbalanced. Using concepts from the textbook, why would Dr. Lyte need to use counterbalancing in this scenario?

Answer:

Here,

Independent variable (IV) is: the color of the light produced by the lamp (red, orange, yellow, green, or blue)

We are also told only 10 participants are available.

All 10 participants are being exposed to all five levels of the color variable in the same order.

Counterbalancing is said to be a technique used when establishing task order. It helps prevent introduction if cofounding variables.

Dr. Lyte will need to use counterbalancing technique in this scenario because some of the participants may be unable to understand difference in similar colours. Example some participants may not be able to differentiate between orange and red when the red colour comes after orange.

But using counterbalancing technique, Dr. Lyte can avoid such an error.

Answer:

             [tex]\bold{y+5=\frac57(x-8)}[/tex]

Step-by-step explanation:

[tex]y-y_1=m(x-x_1)[/tex]      - point-slope form of Equation of the Line

[tex](8,-5)\ \ \implies x_1=8\,,\ y_1=-5\\\\m=\frac57\\\\equation:\\{}\qquad\qquad y-(-5)=\frac57(x-8)\\\\{}\qquad\qquad y+5=\frac57(x-8)[/tex]

Answer:

A. 120 degrees.

Step-by-step explanation:

The two angles are alternate angles, which means they are congruent. So, x is also 120 degrees.

Hope this helps!

Answer:

the value of x is 0 and y is -4.

hope it helps uh..

Answer:

Option D is the correct option.

Explanation:

Since, there is a solid circle(blue) at X=4 which implies the value '4' is included in the inequality solution.

Hope this helps...

Good luck on your assignment...

Answer:

Please refer to the attached image for the graph of given function.

Step-by-step explanation:

Given the equation:

[tex]-x^{2} +4x+12[/tex]

Let us rewrite by letting it equal to [tex]y[/tex].

[tex]y=-x^{2} +4x+12[/tex]

Now, we can see that it is a quadratic equation and it is known that a quadratic equation has a graph of parabola.

Let us compare the given equation with standard quadratic equation:

[tex]y=ax^{2} +bx+c[/tex]

we get:

[tex]a = -1\\b = 4\\c = 12[/tex]

Coefficient of [tex]x^{2}[/tex] is negative 1, so the parabola will open downwards.

Axis of symmetry: It is the line which will divide the parabola in two equal congruent halves.

Formula for axis of symmetry is:

[tex]x = -\dfrac{b}{2a}[/tex]

[tex]x = -\dfrac{4}{2(-1)}\\\Rightarrow x=2[/tex]

It is shown as dotted line in the image attached in the answer area.

Axis of symmetry will also contain the vertex of the parabola.

It is a downward parabola so vertex will be the highest point on this parabola.

Putting x = 2 in the equation of parabola:

[tex]y=-2^{2} +4\times 2+12\\\Rightarrow y =16[/tex]

So, vertex will be at P(2, 16).

Now, let us find points of parabola to sketch graph:

put x = 0, [tex]y=-0^{2} +4\times 0+12=12[/tex]

Another point is Y(0,12)

Now, let us put y = 0, it will give us two points because the equation is quadratic in x.

[tex]0=-x^{2} +4x+12\\\Rightarrow -x^{2} +6x-2x+12=0\\\Rightarrow -x(x -6)-2(x-6)=0\\\Rightarrow (-x-2)(x-6)=0\\\Rightarrow x = -2, 6[/tex]

So, other two points are X1(-2, 0) and X2(6,0).

If we plot the points P, Y, X1 and X2 we get a graph as attached in the image in answer area.

Answer:

Below.

Step-by-step explanation:

This is a parabola.

As the coefficient of x^2 is positive it will open upwards ( shaped like a 'U').

If we convert to vertex form we can find the line of symmetry  and the coordinates of the vertex:

f(x) = 3x^2 - 2x + 1

f(x) = 3(x^2 - 2/3 x) + 1

f(x) = 3[(x - 1/3)^2 - (1/3)^2] + 1

f(x) = 3(x - 1/3)^2 - 1/3 + 1

f(x) = 3(x - 1/3)^2 + 2/3

So the line of symmetry is  x = 1/3 and

the vertex ( the minimum of the curve) is at (1/3, 2/3).

Answer: reflected

Step-by-step explanation:

The triangle ΔXYZ was dilated and then it was reflected to create ΔQAG.

There are three types of translations -

Given is a triangle ΔXYZ.

Therefore, the triangle ΔXYZ was dilated and then it was reflected to create ΔQAG.

To solve more questions on graph rotation, visit the link below-

https://brainly.com/question/19527326

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Answer:

The correct option is

x = 10

Step-by-step explanation:

in a circle Given that chord  [tex]\overline {OP}[/tex] is congruent to  [tex]\overline {QR}[/tex], we have;

Measured angle m∠RZQ is congruent to measured angle m∠PZO

Congruent chords are subtended by congruent angles at the center of the circle

Therefore we have;

4·x - 11 is equal to 2·x + 9

4·x - 2·x = 9 + 11

2·x = 20

x = 10

The value of the measured angles are;

4·x - 11 = 4×10 - 11 = 40 - 11 = 29°

The value of x is 10°.

Answer:

x=10

Step-by-step explanation:

4·x - 11 is equal to 2·x + 9

4·x - 2·x = 9 + 11

2·x = 20

x = 10

The value of the measured angles are;

4·x - 11 = 4×10 - 11 = 40 - 11 = 29°

The value of x is 10°

i got this question too as my homework it so hard ill let you know if i find out the answer.

Answer:

3  CUPS pints

Step-by-step explanation:

Multiple to get it by doing this (1/2) US pint x 3 = 1.5 US pints *2= 3 cups

Answer:A

Step-by-step explanation:

It is a solid line and the area below is shaded so it has to be less than the slope, hope this helped!

<!> Brainliest is appreciated! <!>

Answer:

Its A because you find the slope, -1/3 which is followed by x.  The x intercept is 1 so you do plus one.  Because the line is solid and negative, it makes it a less-than equal to sign.  Hope this helps at all!

Step-by-step explanation:

Answer:

y=-5x^2+4x+2

Step-by-step explanation:

Answer:

-5x² + 4x + 2

Step-by-step explanation:

Standard Form: ax² + bx + c

All you need to do is rearrange to have the highest degree first.

Answer:

Step-by-step explanation:

[tex]30g ----> 2.5g -fat\\566g ----> xg -fat\\30x = 1415\\\frac{30x}{30} =\frac{1415}{30} \\\\x = 47.1666\\\\x = 47.2g of Fat[/tex]

If the plane is flying at an altitude of 21,000 feet, it is perpendicular to the observer's horizontal line of sight. Thus, I concluded that the given information be assigned to the attachment below.

Given -

( Observer at point O, plane flying at point P

( Plane at 55° angle to horizontal line of sight, altitude of 21,000 feet

The distance ( x ), is represented by the line segment OP, with which we have to determine the length of. Therefore we can conclude the following -

[tex]Sin( 55 ) = Altitude / Distance,\\Sin( 55 ) = 21,000 / x,\\----------------\\x = \frac{21,000}{Sin( 55 )},\\x = 21,000 / 0.81915204428\\\\x = ( About ) 25636 feet\\[/tex]

As you can see, the distance from the plane to the observer is about 25,636 ft!

Answer:

25,636 feet

Step-by-step explanation:

I took the test on FLVS and got 100%

Answer:

  d) 27

Step-by-step explanation:

The expanded form of (a+b)³ is ...

  (a +b)³ = a³ +3a²b +3ab² +b³

When we are expanding (x +3)³, the x-term is ...

  3(x)(3²) = 27x

The coefficient of x in the expansion is 27.

Answer:

the answer you are looking for is the letter B. 33

Step-by-step explanation:

Side a = 63

Side b = 21

Side c = 66.40783 = 21√10

Angle ∠A = 71.565° = 71°33'54" = 1.24905 rad

Angle ∠B = 18.435° = 18°26'6" = 0.32175 rad

Angle ∠C = 90° = 1.5708 rad = π/2Area = 661.5

Perimeter p = 150.40783

Semiperimeter s = 75.20392

Height ha = 21  

Height hb = 63

Height hc = 19.92235

Median ma = 37.85829  

Median mb = 63.86901

Median mc = 33.20392

Inradius r = 8.79608  

Circumradius R = 33.20392  

Vertex coordinates: A[0, 0] B[66.40783, 0] C[6.64078, 19.92235]

Centroid: [24.34954, 6.64078]

Inscribed Circle Center: [12.20392, 8.79608]

Circumscribed Circle Center: [33.20392, 0]

Answer:

117.5

Step-by-step explanation:

The formula for the area A of a rhombus is

A = ½d₁d₂,

where d₁ and d₂ are the lengths of the diagonals.

A = ½ × 17 × 15 = 117.5

Answer: 127.5 sq. units

Step-by-step explanation:

Answer:

y=4x

Step-by-step explanation:

this is because all other systems are defined and can be solved simultaneously...

pls lime and follow me ...i follow back...thanks

Answer:

Step-by-step explanation:

No of people using both gym and pool that is N( gup ) = 25

No of people using both track and pool that is N( tup ) = 30

No of people using both track and gym that is N( tug ) = 17

No of people using all that is N( gutup) = 6

No of people  using two or three facilities

= 25+30+17- 2 x 6

= 60

Total no of people = 125

No of people using only one facility

= 125 - 60

= 65 .

Ratio of people using only one facility

= 65 / 125

.52

Required probability

= .52 .

probability that the person uses exactly one of the facilities

= .52

Answer:

Step-by-step explanation:

8d + 4 = 5d + 28

Group like terms

That's

8d - 5d = 28 - 4

3d = 24

Divide both sides by 3

d = 8

[tex] \frac{7(7g + 8)}{4} = 38.5[/tex]

Cross multiply

we have

7(7g + 8) = 38.5(4)

49g + 56 = 154

49g = 154 - 56

49g = 98

Divide both sides by 49

g = 2

Hope this helps you

Answer:

S 75°E

S 55°E

Step-by-step explanation:

Take the law if sines of a triangle:

[tex] \frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC} [/tex]

Where,

a = 28 miles

B = 25°

b = 12 miles

First solve for A, using the law of sines:

[tex] \frac{a}{sinA} = \frac{b}{sinB} [/tex]

[tex] \frac{28}{sinA} = \frac{12}{sin25} [/tex]

Cross multiply:

[tex] 28 sin25 = 12 sinA [/tex]

[tex] 11.83 = 12 sinA [/tex]

[tex] Sin A = \frac{11.83}{12} [/tex]

[tex] Sin A = 0.986 [/tex]

[tex]A = sin^-^1(0.986)[/tex]

[tex] A = 80.44 degrees [/tex]

Since A = 80.44° find A supplement, A`:

A` = 180 - 80.44

A` = 99.56°

If A` + B < 180°, find C.

Thus,

A` + B = 99.56 + 25 = 124.56

We can see that A` + B < 180

Find C:

C = 180 - (80.44+25) = 74.56° ≈ 75°

C` = 180 - (99.56+25) = 55.44° ≈ 55°

Rewrite in bearing form:

S 75°E

S 55°E

Answer:

0( no birds)

Step-by-step explanation:

if you shoot one, the rest will fly away

Answer:

14 alive birds, but 15 in total.

Step-by-step explanation:

15-1=14, or 15-0=15. the dead one still exists

Answer:

x = 76 roses

Step-by-step explanation:

Step 1: Define variables

x = # of roses

y = # of tulips

Step 2: Write systems of equations

x = 4y + 8

5x + 2y = 414

Step 3: Use Substitution

5(4y + 8) + 2y = 414

20y + 40 + 2y = 414

22y = 374

y = 17

Step 4: Plug in y to find x

x = 4(17) + 8

x = 68 + 8

x = 76

Answer:

x = 76

Step-by-step explanation:

x = Roses

y = Tulips

x = 4y + 8

5x + 2y = 414

5(4y + 8) + 2y = 414

20y + 40 + 2y = 414

22y = 374

y = 17

x = 4(17) + 8

x = 68 + 8

x = 76

Answer:

B

Step-by-step explanation:

An arithmetic sequence there will be a constant difference between terms.

Option A: this sequence is not an arithmetic sequence as the difference between the 1st term and the 2nd term is ×[tex]\frac{1}{2}[/tex], but the difference between the 3rd term to the 4th term is ×[tex]\frac{1}{4}[/tex].

Option B: this sequence is an arithmetic sequence as the differences between every two consecutive terms are +5.

Option C: this sequence is not an arithmetic sequence as the difference between the 1st term and the 2nd term is -8, but in the difference between the 2nd term and the 3rd is +8.

Option D: this sequence is a typical fibonacci sequence, and clearly we can see that the differences are different in every two consecutive terms.

I hope this helps, ask me any question if you do not understand :)