Find the value of the expression 0.5^10/0.5^7

Answer:

1,722 R=3 hope this helps

Answer:

11

Step-by-step explanation:

55 divide 5 = 11

11 + 3 = 15

5 × 11 = 55

Answer:

m=-1/2

Step-by-step explanation:

m=-4-1/0- -10

m=-1/2

Answer:

she has 4.5

and she should´ve got bacon egg and cheese than that burger

Answer:

Ok! :)

Step-by-step explanation:

Answer:

Is there suppose to be a graph?

If not, if the original coordinates were (x,y) the new ones will be (y,x)

Step-by-step explanation:

The point C(x , y) is reflected through the line x = y, the coordinates of C is (y, x).

A reflection is "geometric transformation results in mirror image".

According to the question,

The point C(x, y) is reflected through the line X - Y = 0.

Formula to find new coordinates (x-x₁)/a =(y-y₁)/b= -2(ax₁+by₁+c)/(a² + b²)

The point (x, y) = (x₁, y₁) and from the line a = 1, b = - 1,c = 0.

(x-x₁)/1 = -2(x₁ - y₁)/2

x - x₁ +x₁ -y₁ =0

x = y₁.

similarly we get y = y₁

Hence, The point C(x , y) is reflected through the line x = y, the coordinates of C is (y, x).

Learn more about reflection here

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Answer:

7.2

Step-by-step explanation:

Mean is when you add all the numbers together and divide them by the number of values there are in total.

There are 10 numbers, so find the sum of all the numbers and divide by 10.

[tex]\frac{12+8+14+5+1+3+0+8+10+11}{10}[/tex] = 72/10 = 7.2

Answer:

925

Step-by-step explanation:

I think ;)

Answer:

c : 2h-5

e: (4x - 3)/6 +5

Step-by-step explanation:

Answer:

(-5, 17)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

5x + 3y = 26

-2y = 6x - 4

Step 2: Rewrite systems

5x + 3y = 26

y = 2 - 3x

Step 3: Solve for x

Step 4: Solve for y

And we have our final answer!

a) because the denominators are the same add the numerators:

1 1/5 + 3 2/5 = 4 3/5

b) rewrite the fractions to have a common denominator:

1/2 = 3/6

1/3 = 2/6

Now subtract:

4 3/6 - 1 2/6 = 3 1/6

Answer:

6/5+30/5

=6/5+6

=36/5

b)9/2+4/3

=26/6

=13/3

Step-by-step explanation:

Answer:

4-12x

Step-by-step explanation:

-6(-2/3)= 12/3=4

Answer:

f(7)=13

g(-9)=86

Step-by-step explanation:

f(7)=2*7-1=14-1=13

g(-9)=(-9)^2+5=81+5=86

Answer:

it is b

bbbbbbb!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Answer:

The probability is [tex]P(X < 450 ) = 0.18703[/tex]

Step-by-step explanation:

From the question we are told that

    The mean is  [tex]\mu = \$ 490[/tex]

     The standard deviation is  [tex]\sigma = \$ 45[/tex]

Generally the probability that he/she earns less than $450 a week is mathematically represented as

        [tex]P(X < 450 ) = P(\frac{X - \mu }{\sigma} < \frac{450 - 490}{45} )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

          [tex]P(X < 450 ) = P(Z < -0.8889 )[/tex]

From the z table  the area under the normal curve to the left corresponding to    -0.8889  is

         [tex]P(Z < -0.8889 ) = 0.18703[/tex]

=>     [tex]P(X < 450 ) = 0.18703[/tex]

Answer:

$5.99 per can of gas

Step-by-step explanation:

$23.96 divided by 4 = $5.99

This means that each can of gas is $5.99.

Answer:

$95.84

Step-by-step explanation:

Each can of Fuel is $23.96 and you want to find out How much she payed for 4. So all you have to do is multiply the given cost($23.96) by the amount of fuel cans(4). 23.96 times 4 give you the answer $95.84.

Answer:  

the first one and the last one

Step-by-step explanation:

Answer:

Part A)

[tex]f(1)=2, \; f^{-1}(1)=0, \; f^\prime(1)=1.4, \; (f^{-1})^\prime(1)=\frac{10}{7}[/tex]

Part B)

[tex]y=\frac{5}{14}x+\frac{4}{7}[/tex]

Step-by-step explanation:

Please refer to the table of values.

Part A)

A. 1)

We want to find f(1).

According to the table, when x=1, f(x)=2.

Hence, f(1)=2.

A. 2)

We want to find f⁻¹(1).

Notice that when x=0, f(x)=1.

So, f(0)=1.

Then by definition of inverses, f⁻¹(1)=0.

A. 3)

We want to find f’(1).

According to the table, when x=1, f’(x)=1.4.

Hence, f’(1)=1.4.

A. 4)

We will need to do some calculus.

Let g(x) equal to f⁻¹(x). Then by the definition of inverses:

[tex]f(g(x))=x[/tex]

Take the derivative of both sides with respect to x. On the left, this will require the chain rule. Therefore:

[tex]f^\prime(g(x))\cdot g^\prime(x)=1[/tex]

Solve for g’(x):

[tex]g^\prime(x)=\frac{1}{f^\prime(g(x))}[/tex]

Substituting back f⁻¹(x) for g(x) yields:

[tex](f^{-1})^\prime(x)=\frac{1}{f^\prime({f^{-1}(x)})}[/tex]

Therefore:

[tex](f^{-1})^\prime(1)=\frac{1}{f^\prime({f^{-1}(1)})}[/tex]

We already determined previously that f⁻¹(1) is 0. Therefore:

[tex](f^{-1})^\prime(1)=\frac{1}{f^\prime(0)}[/tex]

According to the table, f’(0) is 0.7. So:

[tex](f^{-1})^\prime(1)=\frac{1}{0.7}=\frac{10}{7}[/tex]

Hence, (f⁻¹)’(1)=10/7.

Part B)

We want to find the equation of the tangent line of y=f⁻¹(x) at x=4.

First, let’s determine the points. Since f(2)=4, this means that f⁻¹(4)=2.

Hence, our point is (4, 2).

We will now need to find our slope. This will be the derivative at x=4. Therefore:

[tex](f^{-1})^\prime(4)=\frac{1}{f^\prime({f^{-1}(4)})}[/tex]

We know that f⁻¹(4)=2. So:

[tex](f^{-1})^\prime(4)=\frac{1}{f^\prime(2)}[/tex]

Evaluate:

[tex](f^{-1})^\prime(4)=\frac{1}{f^\prime(2)}=\frac{1}{2.8}=\frac{10}{28}=\frac{5}{14}[/tex]

Now, we can use the point slope form. Our point is (4, 2) and our slope at that point is 5/14.

So:

[tex]y-2=\frac{5}{14}(x-4)[/tex]

Solve for y:

[tex]y-2=\frac{5}{14}x-\frac{20}{14}[/tex]

Adding 2 to both sides yields:

[tex]y=\frac{5}{14}x-\frac{20}{14}+\frac{28}{14}[/tex]

Hence, our equation is:

[tex]y=\frac{5}{14}x+\frac{4}{7}[/tex]

Answer:

y < - 2x + 1

Step-by-step explanation:

Answer: 8

32 divided by 4 equals 8

Step-by-step explanation:

Answer:

$10.67

Step-by-step explanation:

$32 divided by 3 is about $10.67, in it's simplest form.

I hope this helped, please mark Brainliest, thank you!! :)

Answer:

Quadrant 2

Step-by-step explanation:

Answer: 449.48

Step-by-step explanation:

The amount of money in the account after 18 years will be $449.5.  

Compound interest is the addition of interest to the principal sum of a loan or deposit. Mathematically -

[tex]$A = P(1 + \frac{r}{n})^{nt}[/tex]

where -

[A] = final amount

[P] = initial principal balance

[r] = interest rate

[n] = number of times interest applied per time period

[t] = number of time periods elapse

Given is that a person places $308 in an investment account earning an annual rate of 2.1%, compounded continuously.

We have the expression for compounding as -

V = P[tex]$e^{rt}[/tex]

V = 308 x [tex]$e^{(0.021)(18)}[/tex]

V = 308 x [tex]$e^{0.378}[/tex]

V = 449.5

Therefore, the amount of money in the account after 18 years will be $449.5.  

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Answer:that is an s

Step-by-step explanation:

si quema cuh

Answer:

37%

$4trillion

$12000

Step-by-step explanation:

Answer: the value of the diversity index D is Zero (0)

Step-by-step explanation:

Just as the meaning of diversity index is boldly explained in the question, it is the probability that randomly selected organism from a population are from a different species.

Now if the organisms are all from the same species in a population  then it is impossible to select two organisms from different species.

That is, we can never select two organisms that are not from the same species.

Hence, we cant fulfil or meet the definition of diversity index .

Therefore in this situation the value of our diversity index D will be exactly zero, D = 0.

Answer:

The equation of the line in the form Ax+By=C is [tex]\mathbf{ x+4y=-7}[/tex]

Step-by-step explanation:

We need to write an equation of line that have slope m= -1/4 and point(-7,0)

We would use slope-intercept form: [tex]y=mx+b[/tex]

where m is slope and b is y-intercept.

We are given slope m = -1/4 but we need to find y-intercept

Finding y-intercept

Using the slope m= -1/4 and point(-7,0) we can find y-intercept (b)

[tex]y=mx+b\\0=-\frac{1}{4}(-7)+b\\0= \frac{7}{4}+b\\b=-\frac{7}{4}[/tex]

Now finding the equation of line having slope m= -1/4 and y-intercept b= -7/4

[tex]y=mx+b\\y=-\frac{1}{4}x-\frac{7}{4}[/tex]

Now converting into form Ax+By=C :

[tex]y=-\frac{1}{4}x-\frac{7}{4}\\y=\frac{-x-7}{4}\\4y=-x-7\\x+4y=-7[/tex]

The equation of the line in the form Ax+By=C is [tex]\mathbf{ x+4y=-7}[/tex]

Answer:

[tex]Model = 80cm[/tex]

Step-by-step explanation:

Given

[tex]Length = 19.2\ m[/tex]

[tex]Scale=1:24[/tex]

Required

Determine the scale measurement in centimeters

The scale can be represented as: [tex]Model : Actual[/tex]

[tex]Scale = Model : Actual[/tex]

Substitute 19.2 for Actual Length

[tex]Scale = Model : 19.2\ m[/tex]

Represent as a fraction

[tex]Scale = \frac{Model}{19.2m}[/tex] --- (1)

Recall that:

[tex]Scale=1:24[/tex]

Represent as a fraction

[tex]Scale = \frac{1}{24}[/tex] --- (2)

Equate (1) & (2)

[tex]\frac{Model}{19.2m} = \frac{1}{24}[/tex]

Multiply through by 19.2m

[tex]Model = \frac{1}{24} * 19.2m[/tex]

[tex]Model = \frac{ 19.2m}{24}[/tex]

Convert to centimeter

[tex]Model = \frac{ 19.2 * 100cm}{24}[/tex]

[tex]Model = \frac{ 1920cm}{24}[/tex]

[tex]Model = 80cm[/tex]

Hence, the length of the scale model is 80 cm

Answer:

29

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

Assuming that you meant the first term to be 4x² then you just plug in -2 to all of the x-values in the function