Sketch the graph of f(x)=−log 2
​
x 7.1 Write down the domain of f. 7.2 Write down the equation of f−1 in the form y= 7.3 Write down the equation of the asymptote of f −1
(1) 7.4 Explain how, using the graph of f, you would sketch the graphs of: 7.4.1 g(x)=log 2
​
x 7.4.2 h(x)=2 −x
−5 (3) (3) 7.5 Hence draw the two graphs on the same axes system. (4)

The value of x in the given equation i.e \(\frac{16x+12}{2}=100\) is 11.825

Given that equation  \(\frac{16x+12}{2}=100\)  and asked to evaluate the value of x in the given equation

⇒ \(\frac{16x+12}{2}=100\)(given equation)

To solve the given equation, need to use the various mathematical  operations i.e division and subtraction)

⇒8x+6=100 ( using the operation division)

⇒8x=100-6 (using the operation subtraction)

⇒8x=94

⇒x=\(\frac{94}{8}\)(using the operation division)

⇒x=11.825

By using the mathematical  operations i.e division and subtraction the value of x came as 11.825

⇒Therefore, The value of x in the given equation i.e \(\frac{16x+12}{2}=100\) is 11.825

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Answer:

bit late but Sharmila read 8 pages every 5 minutes.

Step-by-step explanation:

let's take a look at the first time on the chart. 15 minutes. 15/5=3. 3x8=24. this works with the rest of the numbers too.

The coefficient of the term containing y^8 in the expansion of [(x/2)-4y]^9 is -126.

To find the coefficient of the term containing y^8, we can use the Binomial Theorem. According to the Binomial Theorem, the expansion of (a + b)^n can be written as:

(a + b)^n = C(n,0) * a^n * b^0 + C(n,1) * a^(n-1) * b^1 + C(n,2) * a^(n-2) * b^2 + ... + C(n,k) * a^(n-k) * b^k + ... + C(n,n) * a^0 * b^n

where C(n,k) is the binomial coefficient given by C(n,k) = n! / (k! * (n-k)!).

In our case, a = x/2 and b = -4y. Plugging these values into the formula, we have:

[(x/2)-4y]^9 = C(9,0) * (x/2)^9 * (-4y)^0 + C(9,1) * (x/2)^8 * (-4y)^1 + C(9,2) * (x/2)^7 * (-4y)^2 + ... + C(9,8) * (x/2)^(9-8) * (-4y)^8 + C(9,9) * (x/2)^0 * (-4y)^9

The term containing y^8 is C(9,8) * (x/2)^(9-8) * (-4y)^8 = C(9,8) * (x/2) * (-4y)^8.

The binomial coefficient C(9,8) is equal to 9, and the term (x/2) * (-4y)^8 simplifies to (-4)^8 * (x/2) * y^8 = 65536 * (x/2) * y^8.

Therefore, the coefficient of the term containing y^8 is 65536 * (x/2) = 32768x.

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Answer:

y = 4

Step-by-step explanation:

8(y + 4) - 2(y - 1) = 70 - 3y ← distribute parenthesis and simplify left side

8y + 32 - 2y + 2 = 70 - 3y

6y + 34 = 70 - 3y ( add 3y to both sides )

9y + 34 = 70 ( subtract 34 from both sides )

9y = 36 ( divide both sides by 9 )

y = 4

Answer:

Im pretty sure the answer is b using the formula

The original prize of the computer is £537.63.

The given parameters:

The original prize of the computer is calculated as follows;

Let the original prize of the computer = x

y = x(1 - 0.07)

500 = x(1 - 0.07)

500 = 0.93x

divide both sides by 0.93

\(x = \frac{500}{0.93} \\\\x = 537.63\)

Thus, the original prize of the computer is £537.63.

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A binomial random variable is the sum of repeated Bernoulli trials.

In statistics, a Bernoulli trial is a random experiment with two possible outcomes: success or failure, with a fixed probability of success denoted by p.

A binomial random variable is obtained by performing a sequence of n independent and identical Bernoulli trials, each with probability of success p.

The random variable X represents the number of successes that occur in these n trials. The binomial distribution describes the probability of obtaining k successes in n trials.

The probability of success in each trial can be different, but it should remain fixed for all the trials. The binomial distribution is commonly used in quality control, polling, and market research, among other fields.

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Answer: E

Step-by-step explanation:

Side triangles; 6.

(3x4/2=6)

There are 2 triangles.

Back of triangle thing is 24.

Top area is 40.

Bottom area is 32.

12+24+40+32

Answer is 108.

I THINK that is the correct answer. I am so so sorry if it isn't.

Answer:

E- 108 in squared. Hope this helps!

Step-by-step explanation:

Answer:

I'm here for the brainliest so I better get it :D

Step-by-step explanation:

Using basic math, it should be 36 but it doesn't seem right...

Answer:

Step-by-step explanation:

Its number line 2.

Answer:

Assuming the sequence is 1, 3, 9, x, x, x, x, and not 1, 3, 9, 1, 3, 9, the 10th term would be 19683.

Step-by-step explanation:

The pattern is to multiply each next term by 3.

Answer:

x = - 1, x = 8

Step-by-step explanation:

Given

8 + 7x - x² = 0 ( multiply through by - 1 and arrange into standard form )

x² - 7x - 8 = 0 ← in standard form

(x - 8)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x - 8 = 0 ⇒ x = 8

Answer:

The second answer, 7y - 4x =12 would make the system have no solution.

Answer:

well we cant put dots on the number line for you how to do it u just plot the number lines Step-by-step explanation:

Answer:

8/10 goes about a centimeter away from one, between 1/2 and 1, 3/5 goes just a lil after 1/2 and 1/4 goes directly in the middle of 0 and 1/2

Step-by-step explanation:

When triangle DUH is rotated and then dilated by a scale factor of n, it means that the triangle is first turned around a fixed point, and then all of its sides are enlarged or reduced by a factor of n.

The rotation changes the position and orientation of the triangle in the plane, while the dilation changes its size. The resulting triangle will have different angles and side lengths than the original triangle, but it will be similar to it because the shape remains the same. The scale factor n determines how much bigger or smaller the triangle becomes after the dilation.

If triangle DUH is rotated and then dilated by a scale factor of n, it means the triangle has undergone two transformations. First, the triangle is rotated around a point, changing its orientation but keeping its shape and size. Second, the triangle is dilated by a scale factor of n, which enlarges or shrinks the triangle proportionally while maintaining its overall shape. The final result is a triangle with the same shape as the original DUH but with a different size and orientation.

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Answer:

2000

Step-by-step explanation:

Number of shares after split is 5/2 times the pre split value =800*5/2 = 2000

The second derivative of v with respect to t, denoted as d²v/dt², is equal to 4

The second derivative of v with respect to t, we will differentiate v twice.

v = 2t² + 7t + 11

First, let's find the first derivative of v with respect to t (dv/dt):

dv/dt = d/dt (2t² + 7t + 11)

Using the power rule of differentiation, we differentiate each term separately:

dv/dt = 2(2t) + 7(1) + 0

dv/dt = 4t + 7

Now, let's find the second derivative of v with respect to t (d²v/dt²):

d²v/dt² = d/dt (4t + 7)

Again, using the power rule of differentiation, we differentiate each term separately:

d²v/dt² = 4(1) + 0

d²v/dt² = 4

Therefore, the second derivative of v with respect to t, denoted as d²v/dt², is equal to 4.

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Answer:

20

Step-by-step explanation:

Answer:

874

Step-by-step explanation:

702 is correct

quick mathz

Given data:

The given number is a=0.09.

The given nummber can be written as,

a=0.09

=9x10^(-2)

=9/100

Thus, the given nummber can be written infraction form as 9/100.

Answer:

y - 0 = -7/4(x - 4)

Step-by-step explanation:

Slope Formula: (y2 - y1) / (x2 - x1)

Point-Slope form Formula: y - y1 = slope(x -x1)

The slope of the points (4,0) and (8,7) is -7/4 plug in the numbers in the the point slope equation it will be y - 0 = -7/4(x - 4)

Answer: In point slope form, the equation would be:

(y-0) = 7/4 (x-4)

hope this helps :)

Step-by-step explanation:

Answer: \(y=\frac{3}{17}x-13\)

Step-by-step explanation:

Find the slope of the line between (-17, -16) and (0,-13) using \(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\), the change of y over the change of x

\(m=\frac{3}{17}\)

Use the slope and a given point to substitute for \(x_{1}\) and \(y_{1}\) in the point-slope form \(y-y_{1} =m(x-x_{1} )\).

\(y-(-16)=\frac{3}{17}(x+17)\)

Solve for y and rewrite into \(y=mx+b\)

\(y=\frac{3}{17}x-13\)

Y=21

Step-by-step explanation:

Answer:

A. Yes they do. Both equations have their opposing set of y-intercept. Where equation one has a y-intercept of +7, and equation two, +7.

B. No they do not. Equation one has a slope of +3, while equation 2 has a slope of -4.

C. Yes they do. Equation one represents that of a positive increasing graph, while equation two the opposite, decreasing.

Step-by-step explanation:

You can use the slope formula to identify and graph each equation simply by using y = mx + b. Where y is the the y coordinate, x is the x coordinate, m is the slope, and b is the y-intercept. With this you can start plotting by marking the y-intercept by putting the x as zero and seeing what number you get. In this case, 3x0-7 = -7. Meaning that would be the y-intercept. For the slope, depending on what the x coordinate is, that's how much the graph will increase or decrease whenever the x coordinate changes. Say the x coordinate is 1, so 3x1-7 = 3-7 = -4. Meaning your coordinate would be (1, -4) where you can keep doing this formula on and on to find the y coordinate for what x coordinate you want to find, or make it easier to graph with a ruler on paper once you have enough points.

Answer: 0.55

Step-by-step explanation:

We can use the formula:

circumference of wheel = diameter x pi

Let's first find the circumference of the wheel, which we know is equal to the distance it travels when it rolls 1000 times. We don't know the actual distance, but we can use the number of rotations and assume that each rotation covers the circumference of the wheel:

circumference of wheel x 1000 = distance traveled

Now we can rearrange the formula to solve for the diameter:

diameter = distance traveled / (pi x 1000)

Using the values given, we have:

circumference of wheel x 1000 = distance traveled

circumference of wheel = distance traveled / 1000

circumference of wheel = 1727 / 1000 (assuming the units are in meters or some other standard unit)

circumference of wheel = 1.727 meters

diameter = 1.727 / (3.14 x 1000)

diameter = 0.00055 meters or 0.55 millimeters (rounded to the nearest hundredth)

Therefore, the diameter of the bicycle wheel is approximately 0.55 millimeters.

Answer:

The definition of implied is something that was hinted at or suggested, but not directly stated. When a person looks at his watch and yawns multiple times as you are talking, this is an example of a situation where boredom is implied.

The additional information required to prove  that ΔXYZ and ΔFEG are congruent is  ∠Z ≅ ∠G and XZ ≅ FG or ∠Z ≅ ∠G and XY ≅ FE. So option 1 and 5 are correct.

Here in the figure it is given that ∠F and ∠X are congruent. To prove the triangle is congruent we have to prove that either two sides including the angles are congruent or another angle and included side is congruent.

When ∠Z ≅ ∠G and XZ ≅ FG, two angles and included sides are congruent, so triangles are congruent.

∠Z ≅ ∠G and ∠Y ≅ ∠E , we can not apply ASA, since three angles are mentioned

XZ ≅ FG  and ZY ≅ GE , Two sides are given, ASA cannot be applied, we need two angles

XY ≅ EF and ZY ≅ FG, is not possible.

∠Z ≅ ∠G and XY ≅ FE, one corresponding side and two angles are equal, so ΔXYZ ≅ ΔFEG according to ASA.

So, the correct answer is option 1 and option 5.

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The complete question is as follows and image is given below

What additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS? Check all that apply.

∠Z ≅ ∠G and XZ ≅ FG

∠Z ≅ ∠G and ∠Y ≅ ∠E

XZ ≅ FG and ZY ≅ GE

XY ≅ EF and ZY ≅ FG

∠Z ≅ ∠G and XY ≅ FE

Answer:

1 and 5 are correct

Step-by-step explanation:

Answer: Undefined.

Step-by-step explanation:

     We can use the slope formula to solve. This formula finds the change in y over the change in x.

\(\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} } =\frac{18-9}{-10--10} = \frac{18-9}{-10+10} = \frac{9}{0} =\text{Unde}\text{fined}\)

     Since we have an undefined slope, we know this line is a vertical line. This is also given away since both points have the same x-value, but I wanted to show the math behind the process.