Can you solve this as soon as possible please

Answer:

a) The rate of change of the brightness after t days is [tex]B^{\prime}(t) = 0.204525\pi\cos{(0.4545\pi t)}[/tex]

b) The rate of increase after one day is of 0.0915.

Step-by-step explanation:

The brightness after t days is given by:

[tex]B(t) = 4.2 + 0.45\sin{(\frac{2\pi t}{4.4})} = 4.2 + 0.45\sin{(0.4545\pi t)}[/tex]

A) Find the rate of change of the brightness after t days.

This is [tex]B^{\prime}(t)[/tex]

The derivative of a constant is 0, the derivative of [tex]\sin{at}[/tex] is [tex]a\cos{at}[/tex]

So, in this case, we have that:

[tex]B^{\prime}(t) = 0.45*0.4545\pi\cos{(0.4545\pi t)} = 0.204525\pi\cos{(0.4545\pi t)}[/tex]

The rate of change of the brightness after t days is [tex]B^{\prime}(t) = 0.204525\pi\cos{(0.4545\pi t)}[/tex]

B) Find the rate of increase after one day.

This is [tex]B^{\prime}(1)[/tex]. So

[tex]B^{\prime}(1) = 0.204525\pi\cos{(0.4545\pi)} = 0.0915[/tex]

The rate of increase after one day is of 0.0915.

Answer:6.12

Step-by-step explanation:

got the answer right

Answer:

on khan the answer is 6.12

Answer:

7 weeks

Step-by-step explanation:

Answer:

7 weeks

Step-by-step explanation:

Answer:

F

Step-by-step explanation:

2x+y = -4

put into slope-intercept form: y = -2x - 4

-3y = 2x+12

In slope-intercept form: y = -⅔x - 4

Both equations have a y-intercept of -4. There is only one graph where both lines pass through (0,-4).

The solution of the given system of equation is (0, -4). Therefore, option A is the correct answer.

The given system of equations are 2x+y=-4 and -3y=2x+12.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The system of equations can be solved as follows:

Here, 2x+y=-4 ----------(1)

-3y=2x+12 ----------(2)

From equation(1), y=-4-2x

Now, put y=-4-2x in equation (2) and simplify

That is, -3(-4-2x)=2x+12

⇒ 12+6x=2x+12

⇒ 4x=0

⇒ x=0

Substitute x=0 in equation (2), we get

-3y=12

⇒ y=-4

The solution of the given system of equation is (0, -4). Therefore, option A is the correct answer.

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

#SPJ2

Answer:

First and last

Step-by-step explanation:

Find the what will multiple to the last number and add to the second number.

Answer:

Test scores will increase because the graph shows a positive association.

Step-by-step explanation:

Since it is going upwards to the right instead of going downwards and for the people who steady more hours they get better scores on there test.

btw i just took it and got it right

From given scatter plot, if the number of hours they study increases then the test scores will increase because the graph shows a positive association.

"A type of data representation that shows the relationship between two numerical variables. "

"When the values of one variable tend to increase as the values of the other variable increase, then two variable have positive association."

"When the values of one variable tend to decrease as the values of the other variable increase, then two variable have negative association."

For given question,

The scatter plot shows the test scores of a group of students who studied for different amounts of time in a week.

A scatter plot shows Hours Spent Studying on x axis and Test Score on y axis .

Also we have been given the ordered pairs

(0, 21), (0.8, 32), (1.2, 35),  (1.5, 39), (2.1, 42), (2.3, 45) and (2.5, 49) and   (2.7, 50) and (3, 67) and (4.6, 56) and (5, 69) and (5.3, 70) and (5.7, 74) and (6.4, 78) and (7.2, 80) and (7.5, 84) and (8.5, 88) and (8.7, 92) and (9.5, 96)

From the given data points of scatter plot,

as x - value increases, y - value also increases.

This means,  if the number of hours they study increases, the test scores will increase.

Here, the values of one variable tend to increase as the values of the other variable increase.

This means, there is positive association in variables Hours Spent Studying and Test Scores.

Therefore, from given scatter plot, if the number of hours they study increases then the test scores will increase because the graph shows a positive association.

Learn more about the positive association here:

https://brainly.com/question/858660

#SPJ2

Answer:

Then substitute 3.14 for pi and 19 for the diameter.

The image shows the circumference formula.

19/2=9.5

C = 2(9.5)times pi.

C = 19 times 3.14

3.14 times 19 ≈ 59.69

Answer:

13 hours at Job B, and 17 hours at Job A.

Step-by-step explanation:

13×7.20= 93.60

17×5.90=100.30

100.30+93.60= 193.90

Answer:

Step-by-step explanation:

Domain - Set of x-values

Range - Set of y-values

3). Since, x values vary from x = -6 to x = 5,

    Domain of the graph = [-6, 5]

    Since, y-values vary from y = -2 to y = 3

    Range of the graph = [-2, 3]

4). Domain of the graph = [-3, 3]

    Range of the graph = [-6, 5]

5). Domain of the graph = (-∞, ∞)

    Range of the graph = (-∞, ∞)

6). Domain of the graph = (-∞, 4]

    Range of the graph = (-∞, ∞)

7). Domain of the graph = (-∞, ∞)

    Range of the graph = [-1, 5]

8) Domain of the graph = [-1, 5)

    Range of the graph = [-3, 3)

Answer:

Step-by-step explanation:

Answer:

[tex]y =5(3)^x[/tex]

Step-by-step explanation:

Given

The attached table

Required

Determine the equation of the table

The table represents an exponential function. So, we make use of

[tex]y = ab^x[/tex]

When x = 0, y= 5.

So:

[tex]y = ab^x[/tex] becomes

[tex]5 = ab^0[/tex]

[tex]5 = a*1[/tex]

[tex]5 = a[/tex]

[tex]a = 5[/tex]

When x = 1; y = 15

So;

[tex]y = ab^x[/tex] becomes

[tex]15 = a * b^1[/tex]

[tex]15 = a * b[/tex]

Substitute 5 for a

[tex]15 = 5 * b[/tex]

Divide both sides by 5

[tex]\frac{15}{5} = \frac{5 * b}{5}[/tex]

[tex]3 = b[/tex]

[tex]b = 3[/tex]

Substitute values for a and b in: [tex]y = ab^x[/tex]

[tex]y =5(3)^x[/tex]

Answer:

3

Step-by-step explanation:

-14x  - 7 + 5y - x = -14x - x - 7 + 5y

                         = -15x - 7 + 5y

Answer:

Step-by-step explanation:

3

Answer:

x = 2

Step-by-step explanation:

4x - 2 = 22 - 8x

Move all variables to a single side by adding 8x to both sides of the equation.

4x + 8x - 2 = 22 - 8x + 8x

12x - 2 = 22

Add 2 to both sides to move the constants to one side.

12x - 2 + 2 = 22 + 2

12x = 24

Divide both sides by 12 to isolate the x.

12x / 12 = 24 / 12

x = 2

Answer:

x = 2

Step-by-step explanation:

Add 2 to both sides.

4x - 2 +2 = 22 - 8x + 2

Simplify.

4x=-8+24

Add 8x to both sides.

4x+8x= -8x + 24 + 8x

Simplify.

12x = 24

Divide both sides by 12.

12x/12 = 24/12

Simplfy.

x = 2

hope this helps! :)

Answer:

The solution has infinitely many solutions.

Step-by-step explanation:

Correct option is - The solution has infinitely many solutions.

The expression is of the form -

ax + b = ax + b

In the expression , any value of x will satisfy

So, we get infinitely many solution

For example -

for x = 1

a(1) + b = a(1) + b

⇒ a + b = a + b

satisfied.

for x = 2

a(2) + b = a(2) + b

⇒ 2a + b = 2a + b

satisfied.

Hereon, for any value of x , it satisfies.

Answer:

-3,1

Step-by-step explanation:

When you are doing Systems Of Equations using a graph, the point where the lines intersect is your answer

Answer:

8mph

Step-by-step explanation:

Distance= 1/3 mile

time= 1/24 hour

Speed= distance/time

speed = 1/3 divided by 1/24

           = 8mph

Answer:

8 im pretty sure

Step-by-step explanation:

Answer:

number increased by ten. ... y = x + 0.25.

Step-by-step explanation:

Answer:15/16 > 1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

6774.075

Step-by-step explanation:

1984: 8855

1983: 8855*10/100=885.5

8855-885.5

7969.5

1982

7969.5*15/100=1195.425

7969.5-1195.425

6774.075

Answer:

0.028 ; 0.649 ; 4

Step-by-step explanation:

P(correctly activation), p = 0.7

Number of sprinklers, n = 10

q = 1 - p = 1 - 0.7 = 0.3

Using the binomial probability relation :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

Probability that all sprinklers activate correctly;

P(x = 10) = 10C10 * 0.7^10 * 0.3^0

P(x = 10) = 1 * 0.0282475249 * 1

P(x = 10) = 0.028

Probability that atleast 7 will operate correctly :

P(x ≥ 7) = p(x = 7) + p(x = 8) + p(x = 9) + p(x = 10)

P(x ≥ 7) = 0.267 + 0.233 + 0.121 + 0.028

P(x ≥ 7) = 0.649

3.)

Probability of atleast 1 operates :

P(x ≥ 1) = 0.98

1 - probability of 0 operates

1 - p(x =0)

P(x = 0) = nC0 * 0.7^0 * 0.3^n = 0.02

Recall :

nC0 = 1 ;

1 - p(x = 0)

P(x = 0) = 1 * 1 * 0.3^n = 0.02

0.3^n = 0.02 - - - (1)

0.3^3.24 = 0.02 - - - (2)

Comparing (1) and (2)

n = 3.24

Since, n cannot be a fraction ;

Then n is rounded to the next whole number = 4

Answer:

c.

[tex] - 1 < - 0.25 < 0 < 0.5 < 1.5[/tex]

Answer:

it is 4/5 because you have to divide by 6

Answer:

100 square centimeters

Step-by-step explanation:

E 10 12

x=18*5)14. x=40/4. x=10. y=(15*4)/5 y=60/5 y=12.

resposta : 10 e 12

Answer:

Step-by-step explanation:

You can change radicals to fractional exponents and vice versa. The 1/2 power means square root. The 1/3 power means the cubed root. etc etc

A:) [tex](81)^\frac{1}{2} =\sqrt{81} =9[/tex]

B:) [tex](125)^\frac{1}{3} =\sqrt[3]{125} =5[/tex]

C:) [tex](49)^\frac{3}{2}=\sqrt{(49)^3} =343[/tex]

D:) [tex](8)^\frac{5}{3}=\sqrt[3]{(8)^5}=32[/tex]

Answer:

x=1 y=11

Step-by-step explanation:

Answer:

125.25

Step-by-step explanation:

5 cube =125

1/2=0.5

0.5 squared =0.25

125+0.25=125.25

Answer:

what are the options

Step-by-step explanation: