The number of transistors per IC in 1972 seems to be about 4,000 (a rough estimate by eye). Using this estimate and Moore's Law, what would you predict the number of transistors per IC to be 20 years later, in 1992?

Answer:

7.76 minutes

Step-by-step explanation:

The +51 is regardless (being the y intercept) so it does not affect our answer. If the employee has to drive one mile (x=1) it will take 7.76 + 51 min to get there. If they have to drive 0 miles (x=0) it will only take 51 min. This is a difference of 7.76. You really just need to take the slope (I just used this example to make it make more sense) as x is the number of miles the employee has to drive, and therefore that times 7.76 would be how much longer it would take to drive to work.

Answer: The answer is ellipse

Answer:

3.16227766017 is the answer

Answer: 3.16227766017

Step-by-step explanation:

Or you could round and get 3.2 or 3.16

Solution

For this case we have the following system of equations:

3x-y =-1 (1)

x +y= 13 (2)

Solving x from the (2) equation we have:

x=13-y (3)

Replacing (3) into (1) we got:

3(13-y) -y= -1

Solving for y we have:

39 -3y -y = -1

4y = 40

y= 10

And solving for x we got:

x= 13-10 = 3

Answer:

x - 8 < -17

8. 8

x > -9

Step-by-step explanation:

make sure to put a Line under the sign srry

Answer:

147 different choices.

Step-by-step explanation:

(7)(3)(7) = 147

Hope this helps

The total time taken for the entire journey is 2.8 hours.

To calculate the total time taken for the entire journey, we can use the formula:

Time = Distance / Speed

For the first part of the journey, the car travels a distance of 112 km at an average speed of 70 km/h. Using the formula, the time taken for this part is:

Time1 = 112 km / 70 km/h = 1.6 hours

For the second part of the journey, the car travels a further distance of 60 km at an average speed of 50 km/h. Again, using the formula, the time taken for this part is:

Time2 = 60 km / 50 km/h = 1.2 hours

To find the total time for the entire journey, we sum up the times for both parts:

Total Time = Time1 + Time2 = 1.6 hours + 1.2 hours = 2.8 hours

For more such questions on time

https://brainly.com/question/26862717

#SPJ8

After answering the given query, we can state that  the parabola equation expands upwards, and the apex is (4, 4.5).

Using the equals sign (=) to indicate equivalence, a math equation links two statements. Algebraic equations prove the equality of two mathematical formulas through a mathematical assertion. The equal symbol, for example, puts a space between the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. You can use a mathematical formula to understand the connection between the two lines that are printed on opposite sides of a letter. Most of the time, the emblem and the particular program match. e.g., 2x - 4 = 2 is an example.

P equals 1/2, meaning that the distance between the apex and the focus is equal to the distance between the directrix and the focus.

As a result, the parabola's equation is:

\((x - 4)^2 = 4(1/2)(y - 1.5)\\(x - 4)^2 = 2(y - 1.5)\)

The left half of the equation is expanded as follows: x2 - 8x + 16 = 2(y - \(1.5) x2 - 8x + 13 = 2y\\y = (1/2)x^2 - 4x + 13/2\)

The problem can also be expressed in vertex form by filling in the cube as follows:

\((x - 4)^2 = 2(y - 1.5)\\(x - 4)^2 = 2(y - 1.5) + 6\\(x - 4)^2 = 2(y - 4.5)\\(x - 4)^2/8 = (y - 4.5)\\\)

Therefore, the parabola expands upwards, and the apex is (4, 4.5).

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

The correct answer is that the data set {3, 7, 4} is represented in the given histogram.(option-a)

The given histogram represents the number of children in each age group who need to travel to school. Since the histogram has only three bars, we can conclude that there are only three age groups.

The first bar represents children aged 5-10, of which there are 3. The second bar represents children aged 11-13, of which there are 7. The third bar represents children aged 14-18, of which there are 4.

Therefore, the data set that is represented in the histogram is:

{3, 7, 4}

None of the other data sets given match the values in the histogram. The first data set has duplicate values and is not sorted by age group. The second data set includes ages that are not represented in the histogram. The third data set has values for ages 6, 11, 12, 13, 14, 15, 17, and 18, but the histogram does not have bars for all those ages. (option-a)

For such more questions on histogram

https://brainly.com/question/32761368

#SPJ8

Answer:

The added both 8x+2x when they were suppose to subtract 8x-2x

Step-by-step explanation:

8x+22= 2x+42

6x= 42-22

6x= 20

x= 3.3 repeating

Answer:

step 2

Step-by-step explanation:

8x + 22 = 2x +42

8x - 2x +22 =42

6x + 22 = 42

6x = 42 -22

6x = 20

x = 20÷ 6

x = 10/3

Answer:

a = 97° (corresponding angle with marked 97°)

c = 59° (corresponding angle with marked 59°)

b = 180° - 97° = 83° (linear pair)

d = 180° - 59° (c) = 121° (linear pair)

____________

Hope it helps ⚜

Answer:

angle a = 97º

angle b = 83º (97º*2 = 194, 360 - 194 = 166, 166/2 = 83º)

angle c = 59º

angle d = 121º (59º*2 = 118, 360 - 118 = 242, 242/2 = 121º)

no need to pay me ahahaha

three shapes. three areas to find. three areas to add together to find the whole area. gotcha.

Step-by-step explanation:

length is 7 cm and width is 4 cm, so the area is 28 square cm

width is 4 cm and length is 10 cm, so the area is 40 square cm

Because the weird shape's bottom length was 13 cm. There are 3 cm and 7 cm on the top length(s) of the weird shape, next to each other. Looking at the dash lines, when adding 3 cm and 7 cm together, the larger rectangle's length is 10 cm.

base is 3 cm and height is 8 cm, so the area is (3x8)/2 = 24/2 = 12 square cm

With knowledge from figuring out the larger rectangle's length being 10 cm and the weird shape's bottom length being 13 cm, we know the right triangle's base is 3 cm. (13 cm - 10 cm = 3 cm for the base of the right triangle).

Due to adding 4 cm and 4 cm of weird shape's width, which is also a right triangle's height.

28 + 40 + 12

= 80 square cm (ANSWER)

Answer:

\(y \: intercept = - 1 \frac{1}{2} \)

Step-by-step explanation:

The y intercept form for the equation of a line is

\(y = mx + c\)

You should note that c represents the y-intercept of the line (where the line touches the y-axis)

\(y = mx + c \\ \\ we \:were\: given \:the \:equation \:y = x - \frac{3}{2} \\ \\ therefore \: the\: value \:of \:c \:is\: - \frac{3}{2} \:or -1 \frac {1}{2}\)

A linear model that best fits the overall pattern of points is given by the

regression line of the data.

Reasons:

a. Points on the graph are;

(6, 218),

The slope, b, regression line equation is given by the following formula;

\(b = \mathbf{\dfrac{\sum \left(x_i - \overline x\right) \times \left(y_i - \overline y\right) }{\sum \left(x_i - \overline x\right )^2 }}\)

The regression line equation is; \(\overline y = b \cdot \overline x + a\)

Where;

\(\overline x\) = 18.732

\(\overline y\) = 187.24

\(\sum \left(x_i - \overline x\right) \times \left(y_i - \overline y\right)\) = -4926.59

\(\sum \left(x_i - \overline x\right )^2\) = 792.3944

Therefore;

\(b = \dfrac{-4926.59}{792.3944 } \approx -6.2173\)

\(a = \overline y - b \cdot \overline x\)

Which gives;

a = 187.24 - (-6.2173) × 18.732 ≈ 303.70

The equation of the line is therefore; \(\overline y = \mathbf{-6.2173 \cdot \overline x + 303.70}\)

Using the above regression line equation, the linear model of the scatter

plot can be drawn as presented in the graph created with MS Excel.

b. The slope of the line is b = -6.2173

c. The relationship between price per serving and sodium per serving is

as follows;

When the price per serving increases by 1 cent, the sodium per serving

decreases by 6.2173 mg.

Learn more about the regression line formula here:

https://brainly.com/question/14747095

The complete general form of the equation of the given sinusoidal function is y = 8sin[(27/2π)*(x - 4)] + c.

The general form of an equation for a sinusoidal function is presented below.

y = a×sin[b*(x - h)] + c

The variable "a" denotes the amplitude of the equation. The variable "T" represents the time period of the equation, and T = 2π/b. The variable "h" denotes the phase shift of the equation. The variable "c" denotes the vertical shift of the equation. The amplitude, period, and phase shift are 8, 27, and 4 units to the left, respectively. The general form of the equation of a sinusoidal function can be written as given below.

y = a×sin[b*(x - h)] + c

y = 8sin[(27/2π)*(x - 4)] + c

To learn more about equations, visit :

https://brainly.com/question/10413253

#SPJ1

Answer:179 /20

(Decimal: 8.95)

Step-by-step explanation:

2+3+4− 5 /100

=5+4− 5 /100

=9− 5 /100

=9− 1 /20

= 179 /20

Answer: x= -2/9

Step-by-step explanation:

-12x-2(x+9)=5(x+4)

= -12x-2x+18=5x+20

= -14x+18=5x+20

= -9x+18=20

= -9x=2

/-9    /-9

x= -2/9

We're given that

\(f(x)=x^2-2x+6\)

which means

\(f(x+h)=(x+h)^2-2(x+h)+6=x^2+2xh+h^2-2x-2h+6\)

When we subtract these, several terms cancel:

\((x^2+2xh+h^2-2x-2h+6)-(x^2-2x+6)=2xh+h^2-2h\)

So the difference quotient is

\(\dfrac{f(x+h)-f(x)}h=\dfrac{2xh+h^2-2h}h\)

and since h ≠ 0, we can cancel it out to end up with

\(\dfrac{f(x+h)-f(x)}h=2x+h-2\)

Now plug in x = 8 (this could have been done at any prior point):

\(\dfrac{f(8+h)-f(8)}h=14+h\)

The expression that is equivalent to the given expression -4x² + 2x − 5 (1+x) is -4x²  - 3x − 5

From the question, we have the following parameters that can be used in our computation:

-4x² + 2x − 5 (1+x)

Open the brackets

So, we have

-4x² + 2x − 5 (1+x) = -4x² + 2x − 5 - 5x

Collect the like tsrms

So, we have

-4x² + 2x − 5 (1+x) = -4x² + 2x  - 5x − 5

Evaluate the like terms

This gives

-4x² + 2x − 5 (1+x) = -4x²  - 3x − 5

Hence, the expression that is equivalent to the given expression is -4x²  - 3x − 5

Read more about expression at

https://brainly.com/question/4344214

#SPJ1

Answer: the degree of f(x) is 10

Step-by-step explanation:

A turning point for a polynomial is a point of the graph where the graph changes from increasing to decreasing or decreasing to increasing.

For a given polynomial f(x) it will always have one less turning point than the degree of the function.

Therefore, for a polynomial with 9 turning points the degree of f(x) is going to be one higher than the number of turning points. So 9+1=10 and the degree of f(x) is 10. The degree of f(x) will be 10 since 10-1= 9 and there are 9 turning points for f(x).

Answer:

1861.39 cm²

Step-by-step explanation:

Given:

d = 15 cm

radius (r) = ½(15) = 7.5 cm

Height = 32 cm

Surface area of a cylinder = 2πrh + 2πr²

Plug in the values

Surface area = 2*π*7.5*32 + 2*π*7.5²

= 1861.39 cm²

Answer:

Therefore, the correct statements are A, B, and E.

Explanation:

Based on my knowledge, a vector is a quantity that has both magnitude and direction. A scalar is a quantity that has only magnitude. When a vector is multiplied by a scalar, the magnitude of the vector is multiplied by the absolute value of the scalar, and the direction of the vector is either preserved or reversed depending on the sign of the scalar.

To answer your question, we need to find the component form, magnitude, and direction of the scalar product –4⇀

.

- The component form of −4⇀

is obtained by multiplying each component of ⇀

by –4. Therefore, −4⇀

= ⟨–8, –12⟩. This means that statement A is true.

- The magnitude of −4⇀

is obtained by multiplying the magnitude of ⇀

by 4. The magnitude of ⇀

is √(2^2 + 3^2) = √13. Therefore, the magnitude of −4⇀

is 4√13. This means that statement B is true.

- The direction of −4⇀

is opposite to the direction of ⇀

because the scalar –4 is negative. This means that statement C is false.

- The vector −4⇀

is in the third quadrant because its components are both negative. This means that statement D is false.

- The direction of −4⇀

is 180° greater than the inverse tangent of its components because it is opposite to ⇀

. The inverse tangent of its components is tan^(-1)(–12/–8) = tan^(-1)(3/2). Therefore, the direction of −4⇀

is 180° + tan^(-1)(3/2). This means that statement E is true.

Therefore, the correct statements are A, B, and E.

Answer:

14 feet

Step-by-step explanation:

The correct statement that is missing in the proof is m<5 + m<2 = 180 degrees

Supplementary angles are angles that sums up to 180 degrees. From the third proof, we can see that the measure of m<1 is equivalent to m<5.

Also from the 4th statement <1 and m<2 are supplementary meaning that the sum of <1 and <2 is equivalent to 180 degrees.

Since m<1 = m<5, we can replace m<1 as m<5 in the equation m<1 + m<2 = 180 from statement 4 to have m<5 + m<2 = 180 degrees by the substitution property.

Hence the correct statement that is missing in the proof is m<5 + m<2 = 180 degrees.

Learn more on supplementary angles here: https://brainly.com/question/404323
#SPJ1

The probability that the sum of the pips selected that is at least 11 would be = 1/12.

To determine the probability of the selected events, the formula for problem should be used which is given below;

Probability = possible outcome/sample space

Possible outcome = at least 11 = (5,6),(6,5),(6,6)

= 3

Sample space = 36

Probability = 3/36 = 1/12

Learn more about probability here:

https://brainly.com/question/31123570

#SPJ1

Lena is not correct in her statement that she will use more pages if she puts 5 stickers on a page instead of 10 stickers on a page.

Is it true that if you put 8 stickers on a page instead of 4, you will use less pages?

Yes, it is true that if you put 8 stickers on a page instead of 4, you will use less pages. The total number of stickers divided by the number of stickers per page determines the number of pages needed. In general, the more stickers per page, the less pages will be needed to hold the same number of stickers.

If Lena puts 10 stickers on a page, she will need fewer pages than if she puts 5 stickers on a page.

For example, if she has 50 elephant stickers, she would need 5 pages if she put 10 stickers on a page, but she would need 10 pages if she put 5 stickers on a page.

This is because the total number of stickers divided by the number of stickers per page determines the number of pages needed. In general, the fewer stickers per page, the more pages will be needed to hold the same number of stickers.

To know more about division visit:

brainly.com/question/660410

#SPJ1

Answer:

D) they gave the world an example of ideal beauty.

Step-by-step explanation:

In the passage, it talks about the Parthenon being made out of beautiful marble, with the first light of morning. However, the first light of morning is not the answer, as that is just a detail in the passage.

Answer:

3

Step-by-step explanation:

The opportunity cost of receiving a 90 on the statistics exam is 17  points on the economics exam.

Two or more expressions with an Equal sign is called as Equation.

The Opportunity cost in this case is the amount of points that Jose has to forgo for picking one alternative.

If Joe had picked strategy B which would give Jose 90 points on statistics then that means that Jose would not have picked strategy A which gave a 94 in Economics.

Therefore instead of getting a 94, Jose would get a 77. The opportunity cost is therefore;

= 94 - 77

= 17 points

Hence, the opportunity cost of receiving a 90 on the statistics exam is 17  points on the economics exam.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1