Determining Components of an Exponential Function A doctor estimates that a particular patient is losing bone density at a rate of 3% annually. The patient currently has a bone density of 1,500 kg/mg3. The doctor writes an exponential function to represent the situation. Which values should the doctor use for a and b in a function written in the form f(x) = abt, where f(x) represents the bone density after x years? 0 = b= Done Intro

Answer:

1300

Step-by-step explanation:

4 times 5 = 20

260 times 5 = 1300

Answer:

1300 times

Step-by-step explanation:

195 is is 3 X 65 so dividing 195 by 3 gets you 65

65 X 20 = 1300

Answer:

12702

Step-by-step explanation:

Since there are 2 digits after the decimal in 14.60, add a decimal to the 870 and put two 0s after it (So it looks like this 870.00)

Then put the two numbers on top of each other, make sure to line up the decimals and multiply normally. When you're done, you should come out with the number 127020000. Since there is 2 digits behind the first number and 2 digits behind the second number, resulting in 4 digits, you're gonna count 4 numbers from the back of your answer and put a decimal there (so it is now 12702.0000) but you don't really need those 0s there so you can just remove them. (Answer 12702)

Hope this helped. If not, search up "Multiply a Whole Number by a Decimal | Math with Mr. J"  it might explain better

Answer:

$15

Step-by-step explanation:

50% = .50

$10 × .50 = 5

10 + 5 = 15

Answer:

10=x

Step-by-step explanation:

Intersecting Chords Formula:(segment piece) x (segment piece) =

       (segment piece) x (segment piece)

6*5 = 3*x

30 = 3x

Divide by 3

30/3 = 3x/3

10 =x

Answer:

7.8 for 1 cake so add that to your total

Step-by-step explanation:

Answer:

$1251.59

Step-by-step explanation:

tax percent = 6.7%

cost price of watch = $113

tax amount = tax percent of total price

=6.7 % * 1173

=6.7/100 *1173

=78.591

Now find total cost of a watch with tax

total cost = tax amount + original cost price

=$78.591 + $1173

=$1251.59

Answer:

A. y = 1/4x - 2

Step-by-step explanation:

The y- coordinate is placed at -2, on the y-axis

Then the line rises up 1 unit, and runs 4 units, landing on a point and forming the line.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

ac/5=a'c

Step-by-step explanation:

Answer:

$20 - $1.75N

Step-by-step explanation:

the amount of change she receives is equal to the amount she paid less the total value of cards

total value of cards = price per card x total quantity of cards bought

$1.75 x N =  $1.75N

Amount of change = $20 - $1.75N

If she buys 10 cards, the amount of change she receives would be

$20 - $1.75(10) =

20 - 17.5 = 2.5

Answer:

13

Step-by-step explanation:

The y intercept is 13 because the X value is 0.

Answer:

Perimeter= 20 cm

Area = 25 cm^2

Difference between 28cm^2 and 8cm^2= 20cm^2

Step-by-step explanation:

The formula to calculate the perimeter of a square is P= 4 * (the length of any side or "s").

Therefore:

P = 4 * 5cm

P = 20 cm

The formula for calculating the area of a square is A= (length of any side or "s")^2

So:

A= 5cm^2

A= 25cm^2

Remember the units in your answer!

The difference between indicates subtraction, and 28cm^2 and 8 cm^2 are like terms so:

28cm^2 - 8 cm^2 = 20 cm^2

Answer:

The cylindrical one

Step-by-step explanation:

We know that the container does not have anything inside it, and we only want the surface, so we will figure out the surface area. The less surface area the package has, the less plastic is used.

The surface area for a cylinder is 2πrh +2πr². Plugging 5 in for r (the radius) and 19 in for the height, we get

2π(5)(19) + 2π(5)² = 753.98

The surface area for a rectangular prism is 2(wl + hl +hw), with 10 being the width, 12 being the length, and 19 being the height in this example, resulting in

2(10*12 + 19 * 12 + 10 * 19) = 1076

The surface area for the cylinder will clearly have less surface area/plastic

Answer:

27

Step-by-step explanation:

The measure of segment YX is 27 units, the correct option is C.

Trigonometric Ratios are ratios of the side of a right angled triangle. These are used to find the missing sides and angles of a right angled triangle.

A right angled triangle is a triangle with measure of one of the angle as 90 degree.

The triangle  XYW is a right triangle, with right angle at W.

The measure of angle X is f degrees and the measure of angle Y is d degrees.

The value of the trigonometric ratio sin f = 8/9

The measure of segment YW is 24 units,

The sin of an angle is the ratio of Perpendicular to the angle and the hypotenuse of the triangle.

sin f = YW / XY

8/9 = 24 / XY

XY = 24 * 9/8

XY = 27 °

The value of YX has been determined.

To know more about Trigonometric Ratios

brainly.com/question/1201366

#SPJ5

Answers:

=========================================================

Explanations:

Step-by-step explanation:

in a parallelogram, opposite angles are equal..

so C is 4a + 22. and B is 6a - 12.

sum of interior angles in a quadrilateral = 360

4a + 22. + 6a - 12. + 4a + 22. + 6a - 12 = 360

20a + 20 = 360

20a = 340

a = 17

sum of angles on a straight line = 180

B + x = 180

6 ( 17) - 12 + x = 180

102 + × = 180

× = 180 - 102

× = 78

Step-by-step explanation:

[tex] {(3a - \frac{1}{6} b)}^{2} = 9 {a}^{2} - \frac{1}{2} ab - \frac{1}{2} ab + \frac{1}{36} {b}^{2} [/tex]

[tex]= 9 {a}^{2} - ab + \frac{1}{36} {b}^{2} [/tex]

Answer:

option B

Step-by-step explanation:

Given :

[tex]y = \frac{2}{3}x + 3\\\\y = \frac{5}{2}x + \frac{7}{2}\\\\[/tex]

Step 1 : simplify the equation :

[tex]3y = 2x + 9\\\\2y = 5x + 7\\[/tex]

Step 2: Arrange the terms :

[tex]2x - 3y = - 9\\\\5x -2 y = -7[/tex]

Step 3 : Solve for x and y :

                                2x - 3y = - 9 ------ ( 1 )

                                5x - 2y = - 7 --------- ( 2 )

                              _____________________

              ( 1 ) x 5 => 10x - 15y = - 45    ---------- (3 )

              ( 2) x 2 => 10x - 4y = - 14    ----------- (4 )

                             _______________________              

           ( 3 ) - ( 4 ) =>  0x - 11y = - 31

                                    - 11 y = - 31

                                        [tex]y = \frac{31}{11}[/tex]

              Substitute y in ( 1 ) :

                     2x - 3y = - 9

                     [tex]2x - 3 (\frac{31}{11}) = - 9\\\\2x = -9 + 3(\frac{31}{11})\\\\2x = - 9 + \frac{93}{11}\\\\2x = \frac{-99 + 93}{11} \\\\2x = \frac{-6}{11} \\\\x = \frac{-6}{2 \times 11} = -\frac{3}{11}[/tex]

Therefore the solution to the sytem is [tex]( - \frac{3}{11} , \frac{31}{11})[/tex]

The solution of the system of equation is a point which lies

on the both the lines.

Option A : False ,  It says the solution lies above one of the given line.

               But the solution of the system of equation always lies on

                both the line.

Option B : True , says the solution is a point on the coordinate plane.

Option C : False, because if the solution is on the x-axis , then

                  the y coordinate in the solution would be zero.

                   But it  is not zero.

Option D : False , the solution is the point where both the lines intersect.

Answer:

1. Melissa and Corey started on different trails.

2. Melissa hiked up the trail for a longer period of time than Corey.

3. Melissa and Corey crossed paths between 60 and 90 minutes.

4. Corey began his descent before Melissa.

Step-by-step explanation:

A. Melissa and Corey started on different trails. - TRUE

Rationale: at the start, when t = 0, Melissa hiking trail elevation was 8,342 ft while that of Corey was 10,004 ft. Therefore, they started on different trails.

B. Melissa hiked up the trail for a longer period of time than Corey. - TRUE

Rationale: It took Melissa 90 mins to reach the highest elevation of 12,921 while it took just 60 mins for Corey to teach same elevation height at 60 mins

C. Melissa and Corey crossed paths between 60 and 90 minutes. - TRUE

Rationale: As Melissa was still ascending between 60 - 90 mins from 11,239 to 12,921, Corey was descending at the same time . So their path crossed.

D. Corey began his descent before Melissa. - TRUE

Rationale: Corey started descending earlier at 60 mins before Melissa

E. As Melissa’s time increased from 0 to 60 minutes, her elevation decreased. - FALSE

Rationale: as Melissa's time increased from 0 to 60 mins, her elevation increased also from 8,342 ft to 11,239 ft.

Answer:

A) Melissa and Corey started on different trails.

B) Melissa hiked up the trail for a longer period of time than Corey.

D) Corey began his descent before Melissa.

Step-by-step explanation:

I got it right on Edge :D

Answer:

1 and 8,  4 and 5

Step-by-step explanation:

There are two pairs, 1 and 8,  4 and 5

The angles in each pair must be on opposite sides of the transversal k, and on the outsides of the parallel lines l and m.

Answer:

Please find the complete question in the attached file.

Step-by-step explanation:

For question 1:

[tex]\to 5^{-3}=\frac{1}{5^3}=\frac{1}{5\times 5 \times 5}= \frac{1}{125}\\\\[/tex]

For question 2:

[tex]\to -5^{-3}=-\frac{1}{5^3}=-\frac{1}{5\times 5 \times 5}= -\frac{1}{125}\\\\[/tex]

For question 3:

[tex]\to -(5^{-3})^{-1}=-(\frac{1}{5^3})^{-1}=-(5 \times 5 \times 5)= -125\\\\[/tex]

For question 4:

[tex]\to -(5^{-3})^{0}=-(\frac{1}{5^3})^{0}=-(\frac{1}{5 \times 5 \times 5})^0= (-\frac{1}{125})^0=1\\\\[/tex]

This is the answer

To the question

Answer:

x = 10

Step-by-step explanation:

x - 3 + 5 = 12

x + 2 = 12

x + 2 - 2 = 12 - 2

x = 10

Answer:

x = 10

Step-by-step explanation:

x−3+5=12

Combine like terms

x +2 = 12

Subtract 2 from each side

x+2-2 = 12-2

x = 10

Answer:

A. y = [tex]\frac{1}{4}[/tex]x - 2

Step-by-step explanation:

Answer:

3015.9

Step-by-step explanation:

its 3015.9 to nearest 10th because formula of volume of cylinder is

v = pi x radius squared x height

so pi x 8 squared = 201.06192983...

REMEMBER - dont round until the end so scientific calculator is best for this

then you do (answer) x height = 3015.9

                                        (15)

hope this helped :D

Answer:

24 is C and 25 is B , ill try and do the other questions if u need me to explain 24 and 25 lmk!

10/3 = k/9

10 x 9 = 3 x k

90 = 3 k

k = 90/3

k = 30

Step-by-step explanation:

everything can be found in the picture