SOLAR ENERGY The power absorbed by a solar panel varies directly with its area. If an 8 square meter panel absorbs 8,160 watts of power, how much power does a 12 square meter solar panel absorb

Mr. Red's salary is an illustration of an arithmetic sequence

The recursive rule of the sequence is (d) an = an−1 + 500; a1 = 30000

From the complete question, we have the explicit rule of Mr. Red's salary to be

an = 500n + 29500

Where:

The above means that:

The difference between a term and the next term is 500.

So, the recursive rule is:

an = an−1 + 500

Recall that:

a1 = 30000

Hence, the recursive rule of the sequence is (d) an = an−1 + 500; a1 = 30000

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Answer:True

Step-by-step explanation:The y-axis is vertical and the x is horizontal

The equation of the model h will be h = 6 × sin(2πt/8). Then the correct option is C.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

A buoy starts at a height of 0 in relation to sea level and then goes up.

Its maximum displacement in either direction is 6 feet, and the time it takes to go from its highest point to its lowest point is 4 seconds.

Then we have

[tex]h=A \times \sin \omega t, \ \ at=0, \ \ h =0[/tex]

The maximum displacement of the buoy in either direction is 6 ft, then we have

[tex]h=6 \times \sin \omega t[/tex]

The time it takes the buoy to get from the lowest to the highest point is 4 seconds then the oscillation time period will be 8 seconds.

Then we have

[tex]\omega T = 2\pi\\\\\omega = \dfrac{2\pi}{8}[/tex]

Then the h will be given as

[tex]h =6\times \sin (\dfrac{2\pi}{8}t)[/tex]

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Answer:

t=1

Step-by-step explanation:

16-2t=5t+9

step 1 :group like term to the same side

16-9=5t+2t

step 2 : combine

7=7t

step 3: solve for t

t=7/7

t=1

Answer:

1/4, 3/6, 2/5, 2/3.........

Answer:

Step-by-step explanation:

Answer:

99999

Five Digit Numbers

The smallest five-digit number is 10000 and the greatest five-digit number is 99999.

Step-by-step explanation:

Using the normal distribution, it is found that 39.4% of restaurants have between 20 and 25 reviews.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are given, respectively, by [tex]\mu = 25, \sigma = 4[/tex].

The proportion of restaurants that have between 20 and 25 reviews is the p-value of Z when X = 25 subtracted by the p-value of Z when X = 20, hence:

X = 25:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{25 - 25}{4}[/tex]

Z = 0.

Z = 0 has a p-value of 0.5.

X = 20:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{20 - 25}{4}[/tex]

Z = -1.25.

Z = -1.25 has a p-value of 0.106.

0.5 - 0.105 = 0.394 = 39.4%.

Hence, 39.4% of restaurants have between 20 and 25 reviews.

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Answer: you are on your own.

Step-by-step explanation:

The equation of the linear function f(x) is f(x) = 4x - 3. So, the answer is B) 4x - 3.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
We can use the two given data points to determine the equation of the linear function f(x) using the slope-intercept form:

f(x) = mx + b

where m is the slope and b is the y-intercept.

First, we can find the slope of the function by using the formula:

m = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) = (2, 5) and (x₂, y₂) = (4, 13)

m = (13 - 5) / (4 - 2) = 4

Now we can use the slope and one of the given points to solve for the y-intercept:

5 = 4(2) + b

b = -3

Therefore, the equation of the linear function f(x) is f(x) = 4x - 3.

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Answer:

Median is the middle of the data set. For example this data set is 4, 6, 7, 9, 10. First you take out 4 and 10. The you take out 6 and 9 to get a median of 7. But if there is an even amount of numbers like in this data set, 1, 2, 4, 5. Then you take out 1 and 5 and then find the middle point in between 2 and 4 which is 3.

Answer:

8.75

Add everything together

The approximate length of the actual object is 1465 ft, which is closest to option D.

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).

First, let's convert the length of the model from millimeters to inches:

372.5 mm = 372.5/10 cm = 37.25/2.54 in ≈ 14.65 in

Next, we can use the scale of the model to find the length of the actual object in feet:

0.5 in. = 50 ft.

So, 1 in. = 100 ft.

Therefore, the length of the actual object in feet is:

14.65 in x (100 ft/in) = 1465 ft

Therefore, the closest length is 1467 feet.

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Answer:

B (cylinder)

Step-by-step explanation:

Two circular bases which are parallel and congruent :

This basically means that the shape contains a circular base (supposedly the bottom), but since it has two bases, its on the top and the bottom. Because it's congruent, the bases are both equal in shape and size. It is also parallel as well, in which the bases have the same distance between them.

The cube doesn't have any circular bases.

The sphere doesn't have any faces, nor edges.

A cone has a circular base, but it doesn't have two.

A cylinder has two circular bases, as well as they are parallel and congruent.

So, your answer is B (cylinder).

Hope this helped !

Answer:

x = -4

Step-by-step explanation:

4 = 2/3x - 5/3x

4 = -3/3x

4 = -x

-4 = x

Answer:

Step-by-step explanation:

So, the total unit number of sixth graders polled is 12.

39/12=3.25

So, you'd do 8x3.25=26 students like lemonade

13 students like iced tea

Answer:544

Step-by-step explanation:43 + 25 = 68

68 × 8 = 544

length= 9.1m

area= 473.2m^2

Substitute values for length (l) and breadth (b) into the perimeter formula.

473/9.1=52

perimeter of rectangle= l+l+b+b

=52+52+9.1+9.1

P=122.2m

Answer:

the

• the population of the first germ is represented by the function a(x) = (1. 3)+9

Answer:

32.9

Step-by-step explanation:

7*9.4/2=32.9

Answer:

2nd option I believe

Step-by-step explanation:

subtract 2 from both sides

Answer:

The first step is to subtract from both sides

Step-by-step explanation:

if you do this it's method of balancing equations whereby you have. 3x+2-2=17

[tex]\textbf{a).}\\\\r^2-12r+32\\\\=r^2 -8r-4r+32\\ \\=r(r-8) -4(r-8)\\\\=(r-8)(r-4)\\\\\textbf{b).}\\\\5a^2-7a-6\\\\=5a^2-10a+3a-6\\\\=5a(a-2)+3(a-2)\\\\=(a-2)(5a+3)\\\\\textbf{c).}\\\\16g^2+40g+25\\\\=(4g)^2 +2\cdot 5\cdot 4g+5^2\\\\=(4g+5)^2\\\\=(4g+5)(4g+5)[/tex]

Answer:

About 198 miles.

Step-by-step explanation:

The average car can drive with an MPG ratio of 36 miles per gallon. Using this and other observations. This would make this equation rather facile and result in equation 36(MPG) × 5.5(Gallons). Therefore, the result led to the remedy as 198 miles.

Answer:

I think its 22.5 or 18% if its the rate then its 22.5 I believe

Answer:

15 miles

Use the Pythagoras theorem

Answer: 15

Step-by-step explanation:

Let's start by stating what we are given

The perimeter is 36

One side length is 12

And the other given side is 9

Finally we have an unknown side x

The value of all the sides added together is the perimeter.

So add all the sides

12+9+x=36

21+x=36

Subtract both sides by 21

21-21+x=36-21

x=15

Answer:

1. diameter=5.54m

2. radius=9.55cm

3. area=11.46feet²

Step-by-step explanation:

1. The formula of the area of a circle is: A=[tex]\pi r^{2}[/tex]

   A: area of the circle=25m²  

    [tex]\pi[/tex] : Pi≈3.14

    r: radius of the circle= unknown

   Solve the equation to find r:

   25=(3.14)r²

    r²=[tex]\frac{25}{3.14}[/tex] =7.69m²

    r= √7.69= 2.77m

   diameter d= 2 x r =2 x 2.77 =5.54m

2. The formula of the perimeter of a circle is: P=2[tex]\pi r[/tex]

   P: perimeter of the circle= 30cm

    [tex]\pi[/tex] : Pi≈3.14

   r: radius of the circle= unknown

   Solve the equation to find r:

   30=(3.14)r

   r= [tex]\frac{30}{3.14}[/tex] = 9.55cm

   radius r = 9.55cm

3. First we have to find r (radius) from  the equation of perimeter:

    P=2[tex]\pi r[/tex]

     r= [tex]\frac{P}{2\pi }[/tex] = [tex]\frac{12}{2(3.14)}[/tex] = [tex]\frac{12}{6.28}[/tex] =1.91 feet

     Substitute r in the equation of area to get the area:

     A=  [tex]\pi r^{2}[/tex] = 3.14 (1.91)² = 3.14(3.65) = 11.46 feet²

Answer: C

Step-by-step explanation:

Answer:

64.7 when rounded up to one decimal place

Step-by-step explanation:

Answer:

9.628 cm²

Step-by-step explanation:

Let A be the area of the sector OAB

Let a be the area of the sector OCD

The shaded area = A − a

[tex]\begin{aligned}A &=\frac{1}{12} (\pi \times 7^{2}) \\&=12.828 \ldots\end{aligned}[/tex]

[tex]\begin{aligned}a & = \frac{1}{12}\left(\pi \times 3.5^{2}\right) \\&=3.2 \ldots\end{aligned}[/tex]

The shaded area ≈ 12.828 - 3.2 ≈ 9.628 cm²

Answer:

First problem:  max when x = 4

Second problem:  min when x = 1

Step-by-step explanation:

The graph of f(x) = –|x – 4| – 5 is a translation of that of g(x) = -|x|.  The vertex of the latter is (0, 0).  First this must be translated 4 units to the right and then the resulting graph 5 units downward.  The vertex of this translation is (4, -5).  Since this graph opens downward, this (4, -5) is the maximum function value, that is, when x = 4.

The graph of f(x) = x2 – 2x +­ 1, or (better yet) f(x) = x^2 – 2x +­ 1, or

f(x) = (x - 1)^2 + 0, is that of a parabola that opens upward and has its minimum at x = 1, or (1, 0).