for a fixed location, the number of sunlight hours in a day fluctuates throughout the year. suppose that the number of daily sunlight hours in a particular location can be modeled by the following. l(t)

Answer:

1. 2 inches per hr

2. 24 hrs

Step-by-step explanation:

30/15=2/1

4ft=48in

48/2=24

hope it helps

Answer:

2m/4m = 9m/xm

2m(xm) = 4m(9m)

2xm = 36m

The equation  of the line  in slope-intercept forms expressed as: y = y = 1x + 3

How to Write the Equation of a Line?

To wrote the equation of a line in slope-intercept form, first, find the slope (m) of the line, determine the y-intercept (b) of the line, then substitute the values into y = mx + b (equation in slope-intercept form).

Using two points on the line, (0, 3) and (4, -1):

Slope (m) = change in y / change in x = (3 - -1)/(0 - 4)

Slope (m) = 4/-4

Slope (m) = -1

The slope of the line is m = -1.

Find the y-intercept (b) by substituting one point, (x, y) = (0, 3), and m = -1 into y = mx + b and solve for b:

3 = 1(0) + b

3 = 0 + b

b = 3

Write the equation of the line by substituting b = 3 and m = -1 into y = mx + b:

y = 1x + 3

Thus, the equation in slope-intercept form of the line is expressed as: y = 1x + 3

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Answer:

[tex]-1\frac{5}{8}[/tex]

Step-by-step explanation:

-1 1/8 - 1/2 =- 1 1/8 -4/8

                 =  -9/8-4/8

                  =-13/8

                   =-1 5/8

Hopes this helps please mark brainliest

Answer:

-1.49530965

Step-by-step explanation:

Answer:

$11.89 is the answer

Step-by-step explanation:

because $3.25 + $8.64 is $11.89

Hope this helps

Answer:

14+(x*y)

Step-by-step explanation:

Answer:

Step-by-step explanation:

ok  

Answer:

This system has infinitely many solutions.

Step-by-step explanation:

The graphic in both functions is the same line, which means the system has many solutions

3.406 tall is the goalpost

given that

she walk a distance of 12.75 meters from the goalpost, then place a mirror flat on the ground, marked with an X at the center. She then walks 6. 55 more meters past the mirror

Her partner measures the distance from her eye to the ground to be 1. 75 meters.

based on the given condition [tex]\frac{1.75}{6.55}[/tex] = [tex]\frac{x}{12.75}[/tex]

                   x = [tex]\frac{1.75}{6.55}[/tex] ×12.75

                 x = 3.406

Therefore, 3.406 tall is the goalpost

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(1 + 1/3)^2 - 2/9

= (3/3 + 1/3)^2 - 2/9

= (4/3)^2 - 2/9

= 16/9 - 2/9

= 14/9

Answer

2inch tall

Explanation

let the height of the building in the picture = y

5ft -––- ½ inch

20 ft -––- y inch

Cross multiply ✖️

20 × ½ = 5 × y

10 = 5y

10/5 = y

y = 2

Answer:

Your answer is correct.

Step-by-step explanation:

Answer:

p

Step-by-step explanation:

when p changes, it causes the equation to change

Ninety-five percent of people have IQs between 70 and 130.99.7 percent of people have IQ scores between 55 and 145.With IQ scores between 55 and 145, only 0.3% of the population falls outside this range.

How likely is it that a student chosen at random will have an IQ of 115 or higher?

Since half should be over the normal of 100 (by evenness), this implies 50 - 34.13 = 15.87 (%) has an intelligence level score over 115.

Which level of understudies might have scored either higher than 90 or lower than 70?

That always prompts the same response: 95%!Since we are aware that one standard deviation equals five points, two standard deviations equal two x 5.As a result, 95% of scores fall between 70 and 90, which is 10 points above the mean of 80.

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Answer:

Step-by-step explanation:

so basically 2+2=3

Answer:

not sure what the question is but if you look for the equation

it's
1/4 * x + 1
or in decimal
0.25x + 1

Answer: tyhe image / screenshot

Step-by-step explanation:

The best point estimate of the mean is 29 pounds.

Sample size n =65; sample means (X) =29; population std (s) =4.3

Since the sample size is more than 30 we can use the central limit theorem. Hence population means estimate is equal to the sample mean which is 29.

At 90% confidence z value = 1.645

Lower limit = X -z * s/[tex]n^{0.5}[/tex]= 29 -1.645 * 4.3/[tex]65^{0.5}[/tex] = 28.1

Upper limit = X -z * s/[tex]n^{0.5}[/tex] = 29 +1.645 * 4.3/[tex]65^{0.5}[/tex] = 29.9

At 95% confidence z = 1.96

Lower limit = X -z * s/[tex]n^{0.5}[/tex] = 29 -1.96 * 4.3/[tex]65^{0.5}[/tex] = 27.9

Upper limit = X -z * s/[tex]n^{0.5}[/tex] = 29 +1.96 * 4.3/[tex]65^{0.5}[/tex]= 30.1

95% confidence interval is larger. It has a wider range of values than 90% confidence. This is because we are covering more area on a normal curve with a higher confidence interval. So mean value is more likely to fall in the 95% range than the 90% range.

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Step-by-step explanation:

you have to transform the equations, so that in the end you have only x on one side, and everything else on the other.

and that is the solution.

remember, when doing such transformations, we have to do every change to both sides at the same time.

a)

x/5 = 3 | multiply both sides by 5

x = 3×5 = 15

b)

x/2 = 8.5 | multiply both sides by 2

x = 8.5×2 = 17

Answer:

a=15 b=17

Step-by-step explanation:

since we know x divided by something is 3 we do the inverse method so it's going to b 15. The same thing happened with b.

I hope this helps!!

Answer:

33

Step-by-step explanation:

first we divide 33 by 33 then we have 1 now we have times 33 which is 33 now 33-33 is 0 not we add 33 to 0 now we have 33

Answer:

Circle B and 3.14 cm

Step-by-step explanation:

Not 100% sure but good luck :)

The length 1 cm wider was the pair of compasses when Alex drew circle A than when he drew circle B.

A straight line that runs through the sideways of a body or figure, particularly a circle or sphere, is called as a diameter of a circle or sphere.

Given:

Alex has drawn two circles, A and B.

Circle A has a diameter of 18 cm.

So, the radius is 18/2 = 9 cm.

And circle B has a diameter of 16 cm.

So, the radius is 16/2 = 8 cm.

To find how much wider was the pair of compasses when Alex drew circle A than when he drew circle B:

The difference in the radius,

= 9-8

= 1 cm

Therefore, when Alex drew circle A than when he drew circle B, the compass was wider 1 cm.

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The compound amount with the compound quarterly will be $3771.19 and the equivalent annual interest rate will be 6.1363%.

Compound interest is applicable when there will be a change in the principle amount after the given time period.

For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550 now for the next year the interest will be $550, not $500.

As per the given,

Principle amount P = $2800

Rate of interest = 6% = 0.06

Compound quarterly n = 4

Time period T = 5 yeras

a)

Total amount = P(1 + R/n)^(nT)

Total amount = 2800(1 + 0.06/4)^(4 x 5)

Total amount = 2800(1.015)^20

Total amount = $3771.19

b)

Let's say the equivalent annual interest rate is r.

n = 1

3771.19 = 2800(1 + r/1)^(1 x 5)

3771.19 = 2800(1 + r)^5

1.061 = 1 + r

r = 0.06136 = 6.136%

Hence"The compound amount with the compound quarterly will be $3771.19 and the equivalent annual interest rate will be 6.1363%".

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Determine whether 8 > -191/48 is true or false :

=> True.

Other option are False.

Given,

In the question:

The set is given as:

y> -1/6x - 4

To check the which ordered pair is in the solution set of y> -1/6x - 4

Now, According to the question:

A) Substitute x = -8 , y = 8 into  y> -1/6x - 4

8 > -1/ 6 x (-8) - 4

LHS = 8

RHS = -1/ 6 x (-8) - 4 = -191/48

Write in the form

8 > -191/48

Hence, Determine whether 8 > -191/48 is true or false :

=> True.

Other option are False.

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Answer:

Step-by-step explanation:

Answer:

The radius (in centimeters) is 18.9999, or roughly 19 centimeters.

Step-by-step explanation:

If you need a step-by-step explanation, please let me know and I will help you. Thanks!

The person that has a better performance is Puja Limbu.

From the information, Puja Limbu did 8 out of 10 math problem. This can be converted to percentage as:

= 8/10 × 100

= 80%

Raju Lama did 11 out of 15 similar math problem. This will be:

= 11/15 × 100

= 73%

Therefore, Puja has a better performance.

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Answer: [tex]-4(3-1)+2=-4(2)+2=-8+2=-6[/tex]

The value of the exponent given as 2^18 times 2^9 is 2^27.

The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.

In this case, 2^18 times 2^9 will be illustrated thus:

= 2^18 times 2^9

= 2^(18 + 9)

= 2^27

The value is 2^27.

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There are 73 females currently involved in the competition.

The four basic arithmetic operations in Maths, for all real numbers, are: Addition (Finding the Sum; '+') Subtraction (Finding the difference; '-') Multiplication (Finding the product; '×') Division (Finding the quotient; '÷')

Given that, there is a table of male and female involved and not involved in a competition,

Female column total = 103

103-57 = 46

Female row total = 119

119-46 = 73

Hence, There are 73 females currently involved in the competition.

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The speed at which conical tank water will rise is 9/8[tex]\pi[/tex] m/min.

What is cone?

A cone could be a three-dimensional geometric type with a flat base and a sleek tapering apex or vertex.

Main body:

The quick way of solving this is simply to consider the horizontal cross sectional area of the tank at the 2m water depth. This is  2/3  of the way up a tank having radius increasing linearly with depth, and so the radius is  2/3  of the 2m at the top, i.e:  4/3  m. So the area is:

πr²=π(4/3)2=16/9π

Now water having this cross section filling at 2 m³  per minute would fill a cylinder having this volume and cross section each minute. A cylinder has volume equal to cross section times length, so the cylinder would have a height of:

2/(16/9π)=9/8π metres

Therefore the water at this depth is rising at a rate of  9/8π  meters per minute.

The longer way around is to calculate the water volume for a given depth and differentiate. We know that the volume of a cone is a third that of a cylinder with the same dimensions, ie:  1/3πr²h . So if our tank has radius R and height H, then the radius of the surface of the water at depth h is  (R/H)h , and so the water volume having this depth is:

v=1/3π(R/H)h)²h=[tex]\frac{\pi r^{2} }{3H^3} h^2[/tex]

We’re interested in rate of change with respect to time, so let’s try differentiating this formula with respect to time, remembering that  h  is changing with time and so we need to use the chain rule:

[tex]\frac{dv}{dt}[/tex]=[tex]\frac{\pi r^{2} }{3H^2} 3h^2[/tex][tex]\frac{dh}{dt}[/tex]=[tex]\frac{\pi r^{2} }{H^2} h^2[/tex][tex]\frac{dh}{dt}[/tex]

Notice that we can solve this for [tex]\frac{dh}{dt}[/tex] , which is the rate of water height change, i.e: the value that we want:

[tex]\frac{dh}{dt}[/tex]= [tex]\frac{H^2 }{\pi r^{2}} h^2[/tex][tex]\frac{dh}{dt}[/tex]

The rate of change of water volume  dv/dt  is just the rate that water flows in, so now all we need to do is slot the given numbers into the equation:

dh/dt=2(3²/π2²2²)=9/8π meters per minute

Hence the answer is 9/8[tex]\pi[/tex] m/min.

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