Rewrite the expression using rational exponents .

Answer:

9= 512m/1000m

SIMPLIFY IT

Step-by-step explanation:

Answer:

In step 2, the subtraction property of equality was applied

In step 4, the division property of equality was applied

Step-by-step explanation:

Hello,

The conic is a parabola ,

vertex (-1,3)

focus : (-1,-2)

directrix: y=8

equation: y= - 1/20x²-1/10*x+59/20

solution in picture

The vertex is v(-1,3) , focus is f(-1,8) and the equation of directrix is          y = -2.

A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line. The equidistant from a fixed point called the focus (F), and the fixed-line is called the directrix (x + a = 0).

For the given situation,

The standard form of equation of parabola is given by, [tex]y=\frac{1}{4p}(x-h)^{2}+k[/tex]

The vertex is given by [tex]v(h,k)[/tex]

The focus is given by [tex]f(h,k-p)[/tex]

The equation of directrix is given by [tex]y=k+p[/tex]

The given equation is [tex](x+1)^{2} =-20(y-3)[/tex]

On rearranging the given equation in standard form,

⇒ [tex](x+1)^{2} =-20y+60[/tex]

⇒ [tex](x+1)^{2} -60=-20y[/tex]

Divide by 20 on both sides,

⇒ [tex]\frac{(x+1)^{2}}{20} +4 = y[/tex]

⇒ [tex]y=\frac{-1}{(4)(5)} (x+1)^{2} +3[/tex]

On comparing the above equation with the standard form,we get

[tex]p=-5, h=-1, k=3[/tex]

⇒ [tex]k-p=3-(-5)\ =8[/tex]

Hence we can conclude that the vertex is v(-1,3), focus is f(-1,8) and equation of directrix is y=-2.

Learn more about a parabola here

https://brainly.com/question/7492359

#SPJ2

Answer:

True

Step-by-step explanation:

This is the case when the result is True. The substituted variables in the argument must equal a conclusion that is also True. For example, if the premises are True, then the conclusion of the valid argument form needs to output a True conclusion as well. This makes the argument valid. Otherwise, the argument would be invalid if two True premises output a conclusion that is equal to False.

Step-by-step explanation:

7 1/5=36/5

49 7/5=252/5

[tex] \frac{36 \times 252}{5 \times 5} \\ = \frac{9072}{25} \\ = 362.88[/tex]

not equal to 343

Brainliest please~

Answer:

son Judy even eat and technology and yyry and then he will get your BMW

Answer:

29

Step-by-step explanation:

43.25-7=36.25

36.25/1.25=29

Answer: 69, -69

Step-by-step explanation:

it is easy buddy not lies

The percentage rate of change of the given functions is given by the

derivative of their natural logarithm.

Responses:

[tex]f(t) = 1.18^t[/tex]

[tex]g(t) = 2^{-2 \cdot t}[/tex]

[tex]h(t) = 1.19^{\frac{t}{10} }[/tex]

[tex]k(t) = 0.13^t[/tex]

The percentage rate of change can be presented as follows;

[tex]Percentage \ rate \ of \ change = \mathbf{100 \times \dfrac{d}{dt} ln \left(f(t)\right)}[/tex]

[tex]f(t) = \mathbf{ 1.18^t} \ gives;[/tex]

[tex]g(t) = \mathbf{2^{-2 \cdot t} }\ gives;[/tex]

[tex]100 \times \dfrac{d}{dt} \left( ln \left(2^{-2 \cdot t}\right) \right) = \mathbf{ 100 \times -2 \times ln(2)} \approx \underline{ -138.6 \%}[/tex] , exponential decay

[tex]h(t) = \mathbf{1.19^{\frac{t}{10} } }\ gives;[/tex]

[tex]100 \times \dfrac{d}{dt} \left( ln \left(1.19^{\frac{t}{10} }\right) \right) = \mathbf{ 100 \times \dfrac{10 \cdot ln(1.19)}{100}} \approx 1.7 \%[/tex], exponential growth

[tex]k(t) = \mathbf{ 0.13^t} \ gives;[/tex]

[tex]100 \times \dfrac{d}{dt} \left( ln \left(0.13^t }\right) \right) = \mathbf{100 \times ln(0.13)}\approx -204 \%[/tex], exponential decay

Learn more about exponential functions here:

https://brainly.com/question/14325265

Answer:

less than, less than, greater than (from top to bottom)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

the second one I think it is the second one

Answer: D. (5, 4)

Step-by-step explanation:

An x-intercept of -1 means the point = (-1, 0)

So find the slope(m) using the formula: [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex](x_{1},y_{1})=(-4,-2)\\(x_{2},y_{2})=(-1,0)\\\\m = \frac{0-(-2)}{-1-(-4)}=\frac{0+2}{4-1}=\frac{2}{3}[/tex]

Now find the y-intercept(b) by substituting a point into the function:

y = mx + b

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

So now the function is determined as [tex]y=\frac{2}{3} x+\frac{2}{3}=\frac{2}{3}(x+1)[/tex].

Bring each of the coordinates in to see if it fits in:

A. (-6, -5)  [tex]\frac{2}{3}(-6+1)=\frac{2}{3}(-5)=-3.33\neq -5[/tex]

B. (3, 2) [tex]\frac{2}{3}(3+1)=\frac{2}{3}(4)=2.67\neq 2[/tex]

C. (4, 5) [tex]\frac{2}{3}(4+1)=\frac{2}{3}(5)=3.33\neq 5[/tex]

D. (5, 4) [tex]\frac{2}{3}(5+1)=\frac{2}{3}(6)=4[/tex]

Answer:

D(5,4)

Step-by-step explanation:

Took Quiz

Answer:

x⁷ – 8x⁵ – 3x⁴ + 15x³ + 20x² + 10x – 75

Step-by-step explanation:

(x⁵ – 3x³ – 3x² – 10x + 15) ˣ (x² – 5) = x⁷ – 8x⁵ – 3x⁴ + 15x³ + 20x² + 10x – 75

Answer:

B

Step-by-step explanation:

relative maximum

is

the highest point after it comes from infinity

and

the highest point before it goes back to infinity

Answer:

68.5

Step-by-step explanation:

Arc ABE = 360 - 2x

Arc AE = 2x

half the difference between the two arcs is 43

43 = [tex]\frac{1}{2}[/tex] [360 -2x - (2x)]    

Answer:

Step-by-step explanation:

is option a correct

The correct property of addition is shown in the equation is,

⇒ Identity property.

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

The equation is,

⇒ a + bi + 0 + 0i

Now, We know that;

Condition of identity property is,

⇒ a + 0 = a

Thus, The correct property of addition is shown in the equation is,

⇒ Identity property.

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ5

Answer:

D. divide 12 from both sides

Step-by-step explanation:

12x = 60,

Divide each side by 12

12x/12 = 60/12

x = 5

We have to find,

The last step to solve for x,

→ 12x = 60

Then use option (D),

D. divide 12 from the both sides,

→ 12x = 60

→ 12x/12 = 60/12

→ x = 5

Hence, option (D) is last step.

Answer:

x = - 7, x = - 1

Step-by-step explanation:

Given

x² + 8x + 7 = 0

Consider the factors of the constant term (+ 7) which sum to give the coefficient of the x- term (+ 8)

The factors are + 7 and + 1 , since

7 × 1 = 7 and 7 + 1 = 8 , then

(x + 7)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x + 1 = 0 ⇒ x = - 1

Answer:

[tex]x=-1,-7[/tex]

Step-by-step explanation:

[tex]x^2+8x+7=0[/tex] where a [tex]\neq[/tex] 0 so a = 1 b = 8 c = 7

Quadratic Formula: [tex]x=-b\frac{\sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=-8\frac{\sqrt{8^2-4(1)(7)} }{2(1)}[/tex]

[tex]x=-8\frac{\sqrt{64-28} }{2}[/tex]     Evaluate the exponent and multiply 4ac

[tex]x=-8\frac{\sqrt{36} }{2}[/tex]          Subtract b^2 - 4ac and multiply 2a

[tex]x=-8\frac{\sqrt{6} }{2}[/tex]           Solve for the sqrt root of 35

x = - 8 ± 6/2 =

x = - 8 + 6/2 = -1

x = - 8 - 6/2 = -7

Answer:

275,128

Step-by-step explanation:

"___ more than 3455" is the same as saying "___ added to 3455"

So it will look something like this:

___ + 3,455 = 278,583

Then rearrange the equation to use subtraction to solve it:

278,583 - 3,455 = ____

Plug it in the calculator or solve it by hand, and you have your answer!

(To double check, add 3,455 and 275,128, and you get 278,583)

Hope it helps (●'◡'●)

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]0 \to[/tex] Correct

[tex]1 \to[/tex] Defective

Required

The probability that the next is defective

The question is incomplete because the list of bottles that came out is not given.

However, the formula to use is:

[tex]Pr = Num ber\ o f\ d e f e c t i v e \div T o t a l\ b o t t l e s[/tex]

Take for instance, the following outcomes:

[tex]0\ 1\ 0\ 0\ 0\ 1\ 0\ 0\ 1\ 1\ 0\ 0\ 0\ 1[/tex]

We have:

[tex]Total = 14[/tex]

[tex]D e f e ctive = 9[/tex] --- i.e. the number of 0's

So, the probability is:

[tex]Pr = 9 \div 14[/tex]

[tex]Pr = 0.643[/tex]

Answer:

1/20

Step-by-step explanation:

000000000000100000

It is asking the probability of a defective bottle

there is one defective bottle out of 20

Answer:

11

Step-by-step explanation:

(2x -9) + (x + 2) = 23

2x + x -9 + 2 = 23

3x - 7 = 23

3x = 23 + 7

x = 10

RS = 2x - 9

RS = (2 * 10) - 9

RS = 20 - 9

RS = 11

Answer:

100

Step-by-step explanation:

add positive numbers. then subtract the negative numbers.

Answer:

angle 3

angle 2

Step-by-step explanation:

Mathematically, from the angle sum theorem of triangles, the sum of two opposite interior angles of a triangle equals the exterior angle on the third side

Now, for angle 1, it is an exterior angle for angle 4

The two other opposite interior angles that would make angle 1 is simply angles 3 and 2

Answer:

For this problem, we need to add to the price of the phone (50 $) the cost of the data usage (which is 0.20 $ per minute).

If he spends on average 200 minutes, we can calculate what that costs by multiplying the number of minutes by the cost of each one: 200 * 0.2 = $40

And we can now add to the $50 the $40: 50 + 40 = $90

Answer:

$40

Step-by-step explanation:

$.20×200=$40

it's pretty simple

Answer:

x=60

Step-by-step explanation:

Answer:

[tex]h = 6 + 11 - 22 \\ h = 17 - 22 \\ h = - 5[/tex]

Answer:

-5

Step-by-step explanation:

6+11 = 17↓

17-22 = -5

or

11-22 = -11↓

-11+6 = -5

Answer:

Yes every integer has a successor and a predecessor

Step-by-step explanation:

Answer:

h(x) = -4 x –7

h(3) = -4(3) —7

h(3) = –12 –7

h(3) = – 19