Find the values of the six trig functions for theta on each triangle.

The system of exponential functions that can be used to determine the time for the profits to be the same is given by:

[tex]3000(0.985)^x = 1500(1.012)^x[/tex]

An exponential function is modeled by:

[tex]A(t) = A(0)(1 \pm r)^t[/tex]

In which:

For the first restaurant, we have that the parameters are given as follows:

A(0) = 3000, r = -0.015.

Hence the profit after x weeks is given by:

[tex]y_1(x) = 3000(0.985)^x[/tex]

For the second restaurant, we have that:
A(0) = 1500, r = 0.012.

Hence:

[tex]y_2(x) = 1500(1.012)^x[/tex]

Then they will be equal when:

[tex]y_1(x) = y_2(x)[/tex]

[tex]3000(0.985)^x = 1500(1.012)^x[/tex]

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Answer:

Answer:

y=3,000(0.985)^x

y=1,500(1.012)^x

Step-by-step explanation:

plato 2022

Answer:

1 14/15

Step-by-step explanation:

Change 3 2/3 into an improper fraction, which is 11/3. When multiplying fractions, you can multiply straight across, so 11*4= 44 and 3*5 equals 15. 44/15 as a mixed fraction is 1 14/15

Answer:

Always

Step-by-step explanation:

The alternate interiors are the orange pair and the green pair in between lines a and b. They've got symmetry! Rotating one of those lines 180 degrees won't change the picture or the angles of intersection, but it will flip one onto the other. Anyway, there's you answer above, if that's all you're looking for.

Using limits, considering the end behavior of the function f(x), it is found that the correct statement is given as follows:

D. a is positive, and b is odd.

It is given by it's limits as x goes to negative and positive infinity.

In this problem, we have that, considering the end behavior:

This will only be true if a is positive and b is odd, hence option D is correct.

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The number that will produce a rational number when multiplied by 1/5 is A. 10.

A rational number is one that can be written in the form of a fraction where the denominator isn't 0. This number is an integer and does not repeat infinitely.

When 1/5 is multiplied by 10 we get:

= 1/5 x 10

= 2

2 is a rational number so option A is correct.

The full question is:

Which number produces a rational number when multiplied by 1/5?

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Answer:

79% of females are attending the class field trip

Step-by-step explanation:

Question Breakdown:

- Survey 271 students

- 121 males respond, 92 attending field trip

- 31 females not attending field trip

What percent of females are attending the class field trip?​

The two-way table or the class whether they are attending the field trip or not is attached below,

The table tells us

• Males who are not attending : 121 - 192 = 29

• Total females who responded : 271 - 121 = 150

• Females who are attending : 250 - 31 = 119

• Total students who are attending : 91 + 119 = 211

• Total students who are not attending : 29 +31 = 60

There are a total of 150 female students and 119 of them are attending the field trip

[tex]\frac{119}{150} = 0.79 x 100 = 79%[/tex]

Answer:

2√6

Step-by-step explanation:

find the hypotenuse of the triangle thats 3 and 7

pythagorean

3 squared + 7 squared

16 + 49 = 57

√57 is the hypotenuse

√57 is also the base of the triangle that has side thats 9

pythagorean theorem

x squared + √57 squared = 9 squared

x^2 + 57 = 81

x^2 = 81 - 57

x^2 = 24

x = √24

x = √4 * √6

x = 2√6

Step-by-step explanation:

2, 2, 3, 4, 5, 5, 5, 6, 6, 7, 9, 10

_

2+2+3+4+5+5+5+6+6+7+9+10 = 64 ÷ 12 = 5.3

_

Mean: 5.3

Median: 5

The attached graph shows that the system of equation has no solution since there is no point of intersection

Inequalities are expressions not separated by an equal sign

Given the following inequalities

2y < -12x + 4

y <- 6x +4

_________________

2y < -6x + 4

y <- 6x +4.

Find the y-intercept. When x = 0

y < -6(0) + 4

y < 4

Plot the graphs and determine the point of intersection

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Answer:

28

Step-by-step explanation:

Circumference = 2*pi*r

r = 1/2*diameter = 4.5

pi = 3.14

Circumference = 2*(3.14)*(4.5) = 28.26 = 28

Answer: 1 1/2

Step-by-step explanation:

1 4/5 = 9/5

1 1/5 = 6/5

[tex]\frac{9}{5} / \frac{6}{5}\\ \\\frac{9}{5} * \frac{5}{6}\\ \\\frac{45}{30} \\ \\1\frac{1}{2}[/tex]

Answer:

Step-by-step explanation:

Let the speed of the car is c and speed of the plane is p.

The speed of the plane is 7 times the speed of the car

The distance traveled is

The time difference to travel this same distance is 3 hours.

Find the time for car and plane and their difference.

Solve it for c:

Now find the speed of plane:

As we see, Jenny is right

Answer: Heyaa! ^^

When you simplify (17^14)^20 Your Answer is

Step-by-step explanation:

Hopefully this helps you!

Answer:

es kunno.............................

The points mean that the temperature at 11 am and 7 pm is 6 degree Celsius

The given parameters are:

The points are given as:

(x, y) = (-1,6) and (7,6)

-1 represents 11 am and 7 represents 7 pm.

The points mean that:

The temperature at 11 am and 7 pm is 6 degree Celsius

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Answer:

3.5x10^4 is 50 times larger than 7x10^2

Step-by-step explanation:

3.5x10^4 is 35,000 (move decimal 4 places to the right)

7x10^2 is 700 (7.0 move decimal 2 places to the right)

700x50=35,000 which shows that 35,000 is 50 times larger than 700

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve for x ~

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + 5x + 6 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + 3x + 2x + 6 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{}( x+ 3) + 2(x + 3)= 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: {}^{}( x+ 2)(x + 3)= 0[/tex]

[tex] \begin{cases} \sf \: x = - 2 \: \: \: \: \: \: \: \sf if \: (x + 2) = 0 \\ \\ \sf \: x = - 3 \: \: \: \: \: \: \: if \: (x + 3) = 0\end{cases} [/tex]

I hope that helps ~

Answer:

12 years

Step-by-step explanation:

1 inch = two years

6x2=12

Answer:

see the attachment photo!

Answer:

  C.  (1, -1/2)

Step-by-step explanation:

The midpoint of a line segment has coordinates that are the average of the end point coordinates.

__

  M = (A +B)/2 . . . . . . midpoint of segment between A(1, 4) and B(1, -5)

  M = ((1, 4) +(1, -5))/2 = (1 +1, 4 -5)/2 = (2, -1)/2

  M = (1, -1/2)

The midpoint of the vertical line segment is (1, -1/2).

_____

Additional comment

The midpoint will always be on the line segment. Since this line segment is vertical with x = 1, the x-coordinate of the midpoint must be 1.

The slope and the y intercept of the line on the graph is -1/4 and 1.

A straight line function is what can be written in the form of

y =mx +c

where m is the slope and c is the intercept on y axis.

The intercept on the y axis , c = 1

at x = 4 , y=0

and at x = 0, y =1

The slope can be calculated as

y = mx+1

0 = 4m +1

m = -1/4

Therefore the slope and the y intercept of the line on the graph is -1/4 and 1.

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x²+12x<-11

x²+12x+11<0

x²+12x+11=0

(x+11)(x+1)=0

x+11=0 x+1=0

x= -11 x= -1

Solution: ] -11 , -1 [

Let's consider first what equation we must use:

 ⇒ use Combination Formula ⇒ [tex]._{n} C_{r}=\frac{n!}{r!(n-r)!}[/tex]

      ⇒ where 'n'  is the total number of items and 'r'

      is the number of items to choose

Let's look at the problem:

Let's plug it in:

 [tex]\frac{18!}{4!*(18-4)!} =\frac{18!}{4!*14!} =\frac{18*17*16*15}{4*3*2*1} =18*17*2*5=3060[/tex]

Thus there are 3060 ways

Answer: 3060 ways

Hope that helps!

Using it's concept, it is found that the probability that three randomly chosen students will all stay after school for extracurricular activities today is of [tex]\frac{1}{216}[/tex].

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, for each student, one out of six rolls represent staying after school, hence there is a [tex]\frac{1}{6}[/tex] probability they stay after school. For the three students, the probability is given by:

[tex]p = \left(\frac{1}{6}\right)^3 = \frac{1}{216}[/tex]

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Answer:

Can't see the problem. Send a picture of it.

Answer:

B) x² - 8x + 12

E) (x -4)² - 4

F) (x - 2)(x - 6)

Explanation:

As the graph opens upwards. The value of x² will be positive.

The x intercepts are (2, 0), (6, 0) determining (x -2)(x-6)

The (x - 4)² - 4 determines the vertex of x = 4, y = -4

When simplified:

⇒ (x -2)(x-6)

⇒ x² - 2x -6x + 12

⇒ x² - 8x + 12

Let's take this problem step-by-step:

Let's first set up some variables:

Let's examine the information given:

          ⇒ average child is 75 pounds

          ⇒ average adult is 150 pounds

                 ⇒ therefore: [tex]75c + 150a\leq 1500[/tex]

          ⇒ therefore: [tex]c + a \leq 14[/tex]

Let's graph the equations:

 [tex]75c+150a\leq 1500\\c+a\leq 14[/tex]

    ⇒ look at the image attached

The point at which the two graphs intersect:

  ⇒ is the solution that represents the amount of children and adults and

      their combine weight

With the horizontal axis being the # of children and vertical axis being the # of adults:

 ⇒ the solution is 8 children and 6 adults

Answer: 8 children and 6 adults

Hope that helped!