outside temperature over a day can be modeled as a sinusoidal function. suppose you know the temperature varies between 60 and 70 degrees during the day and the average daily temperature first occurs at 9 am. how many hours after midnight, to two decimal places, does the temperature first reach 63 degrees?

At b= 24 will complete the square in the expression x^2 + bx + 144.

What is perfect square trinomial?

A perfect square trinomial expression can be created by taking the binomial equation's square. If and only if a trinomial satisfying the criterion b^2 = 4ac has the form ax^2 + bx + c, it is said to be a perfect square. The formula for the perfect square trinomial is (ax)^2 + 2abx + b^2 = (ax + b)^2.

Consider the given expression

x^2 + bx + 144

For this type of expression [tex]b = 2\sqrt{c}[/tex] will complete the square.

Here, c = 144

√144 = 12

So, b√c = 2(12) = 24

The expression becomes,

x^2 + 24x + 144 = (x + 12)^2

This is the perfect square.

Hence, b = 24  will complete the square in the expression x^2 + bx + 144.

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The number that is the numerator of a fraction with denominator of 40.01 and is equals to a coefficient of one is:

40.01.

A fraction is a numerical representation of the division of the two terms x and y that composed the fraction, as follows:

Fraction = x/y.

The terms are named as follows:

Hence the quotient of the division is the numerator divided by the denominator.

In this problem, interpreting the blank variable as x, the fraction that represents the situation is:

x/40.01 = 1.

Applying cross multiplication, the numeric value of the variable x is obtained as follows:

x = 40.01 x 1

x = 40.01.

The complete problem asks for which number divided by 40.01 is close to 1.

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Using exponents, the resultant expression after simplification is 81x⁸y⁴.

So, the expression is:

Now, simplify the power as follows:

Therefore, using exponents, the resultant expression after simplification is 81x⁸y⁴.

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The population of the country will be 513 million in 2016 with The exponential model A=384. 7e^0. 018t describes the​ population, A, of a country in​ millions, t years after 2003.

The exponential model represents the degrading failure process using an equation like: where Y = degradation, T = time, and A and B = parameters to be predicted using the regression approach using historical data. Exponentials are frequently utilized when the rate of change of a quantity is proportional to its beginning amount. Y represents exponential decay if the coefficient associated with b and/or d is negative. Y represents exponential growth if the coefficient is positive.

Here,

A = 384. 7e^0. 018t

513=384. 7e^0. 018t

513/384.7= e^0.018t

ln(513/384.7) = 0.018t

ln(513/384.7)/0.018 =t

t=15.9895575229 years

t=16 years

2003+16= 2019

In 2016, the country's population will be 513 million people. The exponential model A=384. 7e^0. 018t explains a country's population, A, in millions, t years after 2003.

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The required equation of the line will be y = 2x + 6 which passes through the points (-2,10), (10 -14).

The slope of a line is defined as the gradient of the line.

Given that line passes through the points (-2,10), (10 -14)

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = -2, y₁ = 10

x₂ = 10, y₂ = -14

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 10 = (-14 - 10)/(10-(-2))[x -(-2)]

⇒ y - 10 = (-24)/(12 )[x +2]

⇒ y - 10 = -2(x +2)

⇒ y = -2x - 4 + 10

⇒ y = -2x + 6

Therefore, the equation of the line would be y = 2x + 6 which passes through the points (-2,10), (10 -14).

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The vertical asymptote is x=2 and horizontal asymptote is y = 0

An asymptote is a straight line that constantly approaches a given curve but does not meet at any infinite distance. In other words, Asymptote is a line that a curve approaches as it moves towards infinity.

There are three types is asymptotes:

Horizontal asymptote , Vertical asymptote and oblique asymptote.

in the expression 1/x-2, the horizontal asymptote is y=0 since the power of x in the numerator is less than that of denominator.

And the vertical asymptote is found by equation the denominator to zero

therefore x-2= 0

x= 2

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Answer:

the forth (7,2).........

Answer:

Step-by-step explanation:

the degree of the function ,  also means how many zeros , or roots,  There will be.

There are 96 basketball conference games are scheduled.

For the given question;

There are N games on the schedule because there are two teams in each game.

N = 12×16/2

N = 96

Thus, there are 96  basketball conference games are scheduled.

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Answer:

The question is not complete so I am unsure what to solve for f(n)=$2.25x+4.25 or f(n)= $2.25x+4.25y

Step-by-step explanation:

Shoe rental $2.25

Per game $4.25

Depending on how many people are going to rent (x) and assuming they are only playing one game your equation would be

f(n)=$2.25x+4.25

However if the question does not state how many games are being played i would say

f(n)= $2.25x+4.25y

The sampling method used in this scenario is random Systematic random sampling

Systematic random sampling

Systematic sampling is a form of probability sampling technique in which sample members are chosen from a wider population using a defined, periodic interval but a random beginning point. By dividing the population size by the desired sample size, this interval, also known as the sampling interval, is computed.

If the periodic interval is predetermined and the starting point is random, systematic sampling is still regarded as random even though the sample population has been chosen in advance.

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The radius of Ana's brother's circle in the blue car is 35 feet.

For the given question-

The total distance covered by the Ana's brother in the blue car = 220 feet.

Total distance = circumference of the circle.

circumference of the circle = 2 π r

r = radius of the circle.

π = 3.14

Thus,

220 = 2 x 3.14 x r

r = 220 / (3.14 x 2)

r = 35.03

r = 35 feet.

As a result, the radius of Ana's brother's circle in the blue car is 35 feet.

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The complete question-

The missing data from the question is given in diagram attached.

The number of ribbons needed is 73

The number of ribbons to buy is 109. 5

A function can be described as an expression or rule that explains the relationship between two main variables in an equation.

These variables are called;

We have the expression;

N = 10p + 3

Where 'p' represents the number of presents

N is the number of ribbons

Now, let's substitute the value of p as 7

N = 10(7) + 3

N = 70 + 3

N = 73 ribbons

If 10 feet = 73 packages

15 feet = x

cross multiply

x = 73(15)/10

x = 109. 5 ribbons

Hence, the value is 73

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Answer:

5.8 cm

Step-by-step explanation:

the Pythagorean theorem states that a^2=b^2+c^2, where a is the hypotenuse, and b and c are the legs. Plugging in your values, we get:

4^2 + 4.2^2 = a^2

Simplify: 16 + 17.64=a^2

Simplify again: 33.64 = a^2

Square root both sides: 5.8 = a

Answer:

Probably b or c. Not great with probabilities.

Answer:

Yes

Step-by-step explanation:

(1)-4=3((-2)+1)

-3=3(-1)

-3=-3

The answer is yes because if you substitute x and y for -2 and 1 you can simplify the equation. Then you get the answer -3=-3 which means that the equation is equal.

Answer:

Step-by-step explanation:

(a is in the file)

B. An add 3 inches to height would affect the surface area more than 3 inches to weight because if the same number was multiplied to 0.13 and 0.08… 0.13 would have the greater outcome.

c. a number more than 10 but less than 11 is 10.5

The height is 50 so plug those two numbers into the equation

10.5=0.08W+(0.13)50-1.03

10.5=0.08W+ 6.5-1.03

10.5=0.08W+5.47

Subtract 5.47 from both sides

5.3=0.08

Divide by 0.08 on both sides

= 62.87lbs in one possibility for the value of W

D. a number between 12 and 13 is 12.5

12.5= 0.08w+ 0.13H-1.03

Subtract 1.03 on both sides

11.47= 0.08w+ 0.13H

Divide 11.47 in 2 so that weight and height can be added up to equal 11.47 in the end

5.73=0.08   5.73=0.13

71.68=W    44.07=H

The summation of 10 yards line and 15 yard is 25 yards and the ball represents zero situation when the ball is in net and goals.

Given,

The team receives the ball on their own yards = 10 yards.

that is,

initial position of the ball = 10 yards.

Using summation, (the summation is to add or subtract any two numbers or more terms by doing operation, to get answer).

They make a gain of 15 yards in the first play.

Their final position in 10 yards plus 15 yards

= 10 + 15

=25 yards.

Therefore, the yard line is 25 yards.

The zero situation of the game is when the ball is in net and the player make a goal.

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Answer:

665-09

Step-by-step explanation:

Using the trigonometry ratio, the value of angle x is 66.42°.

In the given question,

One of the support wires for a radio tower is 100 feet long.

One end of the wire is 40 feet from the base of the tower.

We have to find the angle (x), in degrees, that the support wire make with the ground.

To find the angle of x we use trigonometry ratio.

According to the ratio cosine is the ratio between base and hypotenuse.

So the formula is Cos x= B/H

where H = Hypotenuse

B = Base

From the given figure we know that, H=100 feet, B=40 feet

Now putting the value

Cos x= 40/100

Simplifying

Cos x = 2/5

Cos x = 0.4

So x = arccos(0.4)

x = 66.42

Hence, the value of angle x is 66.42°.

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Answer:

not a solution

Step-by-step explanation:

we can just fill it in on both equations

-4(4)+3(1)=2

-16+3=2

-13=2

It doesn’t work for this equation so it’s not a solution

Hopes this helps please mark brainliest

Answer:

No

Step-by-step explanation:

For (4, 1 ) to be a solution then both equations must be true

substitute x = 4 and y = 1 into both equations

- 4(4) + 3(1) = - 16 + 3 = - 13 ≠ 2

3(4) - 9(1) = 12 - 9 = 3

Since both equations are not true then (4, 1 ) is not a solution of the system.

The answers are a) 29.55 ft, b)  23.08 feet and c)  45.05 feet

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled.

Given is a figure, of two wires 1 and 2 attached to a pole and ground

Using trigonometric ratios, we have,

a) tan41° = Height of pole/34

Height of pole = tan41°x34

Height of pole = 29.55 ft

b) tan38° = (distance of wire 2 from the base of pole)/29.55

Distance of wire 2 from the base of pole = tan38°x29.55 = 23.08 feet

c) cos41° = 34/length of wire 1

Length of wire 1 = 34/cos41°

Length of wire 1 = 45.05 feet

Hence, The answers are a) 29.55 ft, b)  23.08 feet and c)  45.05 feet

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Answer:

Step-by-step explanation:

12.5km

i made that up sorry

Answer:

(2.5×20)2=100 then square root of 100;

✓100=10

Hence answer is 10

the correct format for a multiple regression equation is

ŷ= [tex]b_{o} + b_{1}x_{1} + b_{2}x_{2} + b_{3}x_{3} + b_{4}x_{4}[/tex]

multiple regression: The relationship between a single dependent or criterion variable and multiple independent or predictor variables is typically explained by multiple regression. The constant term and multiple independent variables with their corresponding coefficients are used to model a dependent variable. The term "multiple regression" refers to the fact that it requires two or more predictor variables.

because, the weight of a passenger vehicle, in kilograms, is related to its length, in centimeters; and the maximum number of passengers.

thus, ŷ=[tex]b_{o} + b_{1}x_{1} + b_{2}x_{2} + b_{3}x_{3} + b_{4}x_{4}[/tex] is the multiple regression equation.

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Answer:

y = -2x + 1

Step-by-step explanation:

y = mx + b  you must find the m (slope) and the b (y intercept) to write the equation for the graph.

The slope is negative.  If you start on the very left side of the graph and follow it, you will see that it goes in a down hill direction.  That means that the slope is negative.  If I start on the very left and the line goes up from there, the slope is positive.  If the line is a straight horizontal line, then the slope is zero, it does not go up or down.

The slope is -2.  Select one of the dots and travel to the next dot, but you can only move horizonaly and vertically.  You cannot move diagonally.  You will notice that the two closes dots are two units up (or down) and only 1 unit left (or right) depending on which dot you start at.  Since you move 2 units up and 1 unit left that is a slope of 2.  2/1 = 2.

The b (y-intercept) is just where you see the line cross the y axis.  It crosses it at 1.

Answer:

  y = -2x + 1

Step-by-step explanation:

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

Pick any two points on the line.

(-1,3) & (2,-3).

Find the Slope.

     [tex]\sf \boxed{Slope =\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

                 [tex]\sf = \dfrac{-3-3}{2-[-1]}\\\\=\dfrac{-6}{2+1}\\\\=\dfrac{-6}{3}\\\\=-2[/tex]

m = -2.

Equation of the line:

     y = -2x + b

Substitute any one point in the above equation and find the y-intercept. (-1,3)

     3 = -2*(-1) + b

     3 = 2 + b

3 - 2  = b

      b = 1

Equation of the line:

        y = -2x + 1

The constant of proportionality for each table are 5, 2/3, 4, 1/5, 3, 2 and 1/2 while that of the equations are 1/8, 1/3 and 3/2

The constant of proportionality is the ratio of the y value to the x value i.e.

constant of proportionality(k) = y/x

To find the constant of proportionality for each table, just pick any non-zero corresponding x and y values on the table and find the ratio:
Using constant of proportionality(k) = y/x

1.  y/x = 5/1 = 5

2.  y/x= 4/6 = 2/3

3. y/x = 2/0.5 = 4

4. y/x= 2/10 = 1/5

5. y/x = 9/3 = 3

6. y/x = 8/4 = 2

7.y/x = 6/12 = 1/2

For the equations, just rewrite the equations in order to make y/x the subject:

8. y =1/8 x

y/x = 1/8

9. 6y = 2x

y/x = 2/6 = 1/3

10. 4y = 6x

y/x = 6/4 = 3/2

Therefore, the constant of proportionality for each table and equation are 5, 2/3, 4, 1/5, 3, 2, 1/2 and 1/8, 1/3, 3/2 respectively

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