Gertrude started an experiment with 15 gummy bears. After 6 days, there were 1,523 gummy bears. Write an exponential function that could be used to model the number of gummy bears after x days if the number of gummy bears changes at the same rate. Round to the 4th decimal place (ten thousandth)
y=a*b^x
a=
b=​

Answers

Answer 1

9514 1404 393

Answer:

  y = 15·2.1599^x

Step-by-step explanation:

We know that the number changed by the ratio 1523/15 = 101.5333... in 6 days, so the daily multiplier is the 6th root of this:

  b = 101.5333...^(1/6) = 2.1599 . . . rounded to 4 dp

Of course, the coefficient 'a' in the equation is the initial number, 15.

Your exponential equation is ...

  y = 15·2.1599^x

  a = 15

  b = 2.1599


Related Questions

• Solve the problem below.
• Include the strategy that you use to solve the problem.
Brian is tiling his bathroom floor. This does not include the part of the floor covered by his
bathtub. A diagram of Brian's bathroom is shown below. How many square feet of tile
does Brian need to cover the bathroom floor?
Bathtub
48 in.
60 in.
9 ft.
12 ft.

Answers

Answer:

60 in

Step-by-step explanation:

bc he does, bc yeah, and yeah, lol

A bakery can make 320 cookies in 2 hours. At this rate, how many cookies can they make in 5 hours?

Answers

160 hr. Then 160*5 is 800

800

800800

800800

800800

800800

800800

800800

800800

800800

800800

800800

800800

800800

800800

800800

800

Randi estimates the sum of 6.8 x 5.2 as 11. Is this a reasonable estimate? Why?

Answers

it isnt reasonable estimate. 6.8 is about 7 and 5.2 is about 5, and 7+5=12, not 11

No because estimating means 6.8 is 7 and 5.2 is 5 so 11 is too little

Can someone help I willl give brainliest

Answers

Answer:

87˚

Step-by-step explanation:

Since they have equal angles we can make this equation:

3x + 57 = 8x + 7

5x = 50

x = 10

now we can substite x back into one of the equations

8x + 7

8(10) + 7

80 + 7

87

HELP PLEASE DUE IN 10 MINUTES!!! ANSWER ASAP Ben deposited $650 from his pressure washing business into a savings account. The simple interest rate paid by the bank is 3.5%. If Ben makes no deposits or withdrawals, how much interest will he earn in 4 years?

Answers

Answer:

Simple interest of Ben :

[tex] \frac{\$650 \times 3.5\% \times 4years}{100} = \frac{9100}{100} = \$91 \\ [/tex]

Ben earn $91 in 4 years.

How to select south Africa in countries

Answers

Answer:

what what 7-Eleven would 7th you have

need asap‼️

Which phrase could be best represented by the algebraic expression
NO
-8?
Choose the correct answer below.
O A. the quotient of 9 and a number z
OB. 8 less than a number z
OC. 8 less than the quotient of z divided by 9
OD. the difference between a number z and 8

Answers

Answer:

oc

Step-by-step explanation:

m n

Plz help I dont know

Answers

6 units up and 3 to the right! hope i help

Express 55 miles per hour in kilometers per hour?

Answers

i searched it up it’s 88.51 km
55 miles per hour is 88.51 kph

What is the equivalent fraction of 6/8 with 32 as the new denominator

Answers

24/32. Explaination - multiply both by 4.

PLEASE HELP Triangle ABC is reflected across the y-axis to create Triangle A'B'C'. Which rule describes this transformation?

Answers

B because when you reflect over the y axis, the y value stays the same but the x value changes to the opposite of what it was before (for example, the value of x was 8 but when you reflect over the y axis, it changes to -8)

1. The sum of the interior angles of a regular polygon is 1080°.
Part A: Classify the polygon by the number of sides.
A. 6
B. 8
COS)
C. 10
D. 11
Part B: What is the measure of one interior angle of the polygon? Write your answer to the nearest whole
degree.
degrees

Answers

Answer:

8 sides

each interior angle is 135°

Step-by-step explanation:

What is the equation of the line that passes through the point (4,−2) and has a slope of −2?​

Answers

Answer:y=-2x+6

Step-by-step explanation:

You want to find the equation for a line that passes through the point (4,-2) and has a slope of -2.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was -2. So you can right away fill in the equation for a line somewhat to read:

y=-2x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(4,-2). When x of the line is 4, y of the line must be -2.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the -2 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (4,-2).

So, why not plug in for x the number 4 and for y the number -2? This will allow us to solve for b for the particular line that passes through the point you gave!.

(4,-2). y=mx+b or -2=-2 × 4+b, or solving for b: b=-2-(-2)(4). b=6.

A construction crew is lengthening a road. The road started with a length of 56 miles, and the crew is adding 4 miles to the road each day.
Let L represent the total length of the road in miles), and let D represent the number of days the crew has worked. Write an equation relating L to D. Then
use this equation to find the total length of the road after the crew has worked 34 days.
Equation:
D=
Total length of the road after 34 days: miles
х
5
?

Answers

Step-by-step explanation:

your equation.

L = 56 + 4(D)

L = 56 + 4(34)

L = 56 + 136

L = 192

Total length of the road after 34 days is 192 miles

hope it helps you

10+(-6)
What is it please tell me

Answers

Answer:

4

Step-by-step explanation:

Answer:

The answer is 4

Step-by-step explanation:

I learnt this in 7th grade.

If a is the mean and b is the median of nine consecutive integers, what is the value of |a - bl?

Answers

Answer:

It would be zero.

Step-by-step explanation:

Let's for example look at this list : 123456789

The mean is 5, and the median would also be 5.

Please answer this correctly without making mistakes.I want ace expert and genius people to answer this correctly without making mistakes

Answers

It would be 3Lbs and 7 oz
the answer is 3lb 7oz

Which point is the image of B(3, 7) after a reflection in the x-axis?

A) B’(7, -3)
B) B’(3, -7)
C) B’(-3, 7)
D) B’(-7, -3)

Answers

option B is the answer.

B)B'(3,-7)

It’s B welcome :))))

A square shaped backyard has an area of 144 square yards where the length and width are the same. Another rectangular shaped backyard with the same area has a width of 8 yards and a length of 18 yards. The length x (in yards) and the width y (in yards) shows either direct or inverse variation. What is the equation that relates x and y?

Answers

Answer:

5y and 8x

Step-by-step explanation:

Please help ASAP it’s due tomorrow

Answers

Answer:The answer is 14x-25=115    (B)

Step-by-step explanation:

he bought a certain amount of shirts, each being 14 dollars. So 14(how ever many shirts)- 25(the coupon) = Sales price

Answer:

b. 14x-25=115

Step-by-step explanation:

14 dollars each and 25 discount

the "each" here means the cost per cloth is 14, and total cost of the clothes Marco buy will increase depend on the amount of clothes.

Thus, it is 14x

The 25 discount represent that NO MATTER how many clothes Marco purchase, he only gets a discount of 25.  It is a independent value.

Total clothes bought - discount = total amount of money spent.

Thus, it is 14x-25=115


[tex]7x - 6x = [/tex]

Answers

1x is the awnser


Just subtract to find the awnser, and add x

Answer:

x

7x-6x=x

7-6=1 but instead of putting the one there it would just be x depending on your teacher they'd mark it wrong if you put the 1.

Pls help! Will give brainliest answer!!

What is the slope of the line below? If necessary, enter your answer as a
fraction in lowest terms, using the slash (/) as the fraction bar. Do not enter
your answer as a decimal number or an equation.
(1,6) (-5,-7)

Answers

Answer:C. 13/6

Step-by-step explanation:

The slope is always rise over run. So when going from the coordinate (-5,-7) to the coordinate (1,6) we go up 13 then go to the right 6. And since we went up and to the right it is a positive slope.

Step-by-step explanation:

Given: ΔABC, AB=12, m∠A=60°,m∠C=45°, AB =8 Find the perimeter of ΔABC

Answers

Answer:

The perimeter of ΔABC is 43 units

Step-by-step explanation:

An illustrative diagram is shown in the attachment below.

To find the perimeter of the triangle, we will first determine the length of the unknown sides.

First, we can determine /BC/ using the Sine rule

From Sine rule

[tex]\frac{SinA}{a} = \frac{SinB}{b} = \frac{SinC}{c}[/tex]

∴ [tex]\frac{SinA}{a} = \frac{SinC}{c}[/tex]

In the diagram, [tex]a = /BC/[/tex] and [tex]c = /AB/ = 12[/tex]

m∠A=60° and m∠C=45°

∴ [tex]\frac{Sin60}{/BC/} = \frac{Sin45}{12}[/tex]

[tex]/BC/ = \frac{12 \times Sin60}{Sin45}[/tex]

[tex]/BC/ = 6\sqrt{6}[/tex]

To find /AC/, will first determine m∠B

m∠A + m∠B + m∠C = 180° (Sum of angles in a triangle)

60° +m∠B + 45° = 180°

m∠B + 105° = 180°

m∠B = 180° - 105°

m∠B = 75°

Also, using the sine rule

[tex]\frac{SinB}{b} = \frac{SinC}{c}[/tex]

From the diagram, [tex]b = /AC/[/tex]

[tex]\frac{Sin75}{/AC/} = \frac{Sin45}{12}[/tex]

[tex]/AC/ = \frac{12 \times Sin75}{Sin45}[/tex]

[tex]/AC/ = 6 + 6\sqrt{3}[/tex]

Now,

The perimeter of ΔABC = /AB/ + /BC/ + /AC/

= [tex]12 + 6\sqrt{6} + 6+6\sqrt{3}[/tex]

= 43.09 units

≅ 43 units

Hence, the perimeter of ΔABC is 43 units.

Answer:

Using the figure above, if AB = RT and ∠R = 70°, then ________.

ΔABC ~ ΔRTS

m ∠ S = 50°

ΔABC ≅ ΔRTS

m ∠ S = 60°

Step-by-step explanation:

12. Which speed is not equivalent to 55 mi/h?
a. 110 mi
2 h
b. 265 mi
6 h
c. 385 mi
7
h
d. 550mi
10 h

Answers

Answer:

265 miles per 6 hours

Step-by-step explanation:

Multiply 55 by 1, 2, 3, 4, 5 and so on, to get the speed per each of those hours.

55 x 2 = 110 miles per 2 hours

55 x 6 = 330 miles per 6 hours

55 x 7 = 385 miles per 7 hours

55 x 10 = 550 miles per 10 hours.

Answer choice b (265 miles per 6 hours) is not equivalent to 55mph.

I hope this helps!

A company makes plastic beach balls with a radius of 2 inches. How many square inches of plastic does the company

need to make 10 beach balls? Use 3.14 for x and round to the nearest tenth.

Recall the formula SA - 48/?.

50.24 in 2

100.5 in 2

2512 in 2

5024 in 2

Answers

Answer:

502.4 in²

Step-by-step explanation:

Area of a sphere = 4 πr²

Plastic beach balls are spherical in shape.

Hence, the Area of a sphere = 4πr²

Where r = radius = 2 inches

π = 3.14

Hence, the area of one spherical ball =

4 × 3.14 × 2²

= 50.24 square Inches

For 1 spherical ball, 50.24 square inches of plastic is needed to make it.

How many square inches of plastic does the company need to make 10 beach balls?

Therefore,

1 spherical ball = 50.24 in²

10 spherical balls = x

Cross Multiply

x = 10 × 50.24 in²

x = 502.4 in²

Therefore, 502.4 square inches of plastic is needed by the company to make 10 beach balls.

Answer:

a

Step-by-step explanation:

on edge

True OR False
The lengths 45, 42, and 15 make a right triangle.

Answers

Answer:

True

Step-by-step explanation:

the distance divides

If /is an explanatory variable and m is the corresponding response variable, which of these would be represented by the horizontal axis on a scatterplot? O A. Neither /nor m B. 1 C. m D. Both / and m??​

Answers

Answer: The explanatory variable goes in the horizontal axis.

Step-by-step explanation:

The explanatory variable is the variable that can be manipulated in an experiment. This is also called (and more commonly) the independent variable. This is the variable we usually "input" in a system, with the objective of observing the change in the response variable (also called the dependent variable, because it depends on the independent variable).

Usually, we write the explanatory variable on the horizontal axis and the response variable on the y-axis.

Then the correct answer would be C: /.

This is only because m is defined ONLY as a response variable, there are a lot of experiments with two variables, where we can use each of the variables as the explanatory variable.

And also there are some cases where in order to make the graph easier to read, we do not use the explanatory variable in the horizontal axis, instead, we may use some transformation or something alike, but those are really special cases.

A, B, and C are pegs on the bank of a canal which has

parallel straight sides. C and D are directly opposite

each other. AB = 30 m and BC = 140 m.

When I walk from A directly away from the bank,

I reach a point E, 25 m from A, such that E, B, and

D line up. How wide is the canal?

Answers

Answer:

116.67 m

Step-by-step explanation:

Two triangles are said to be similar if their corresponding angles are equal and the ratio of their sides are in the same proportion.

From the image attached:

∠A = ∠C = 90° (right angled triangle).

∠ABE = ∠CBD (vertically opposite angles are equal to each other)

The angle-angle similarity postulate states that If two angles of one triangle are equal to two angles of another triangle, then both triangles must be similar. Hence:

Since, ∠A = ∠C and ∠ABE = ∠CBD, we can say that ΔABE and ΔCBD are similar triangles. Since they are similar, the ratio of their corresponding sides is equal. Therefore:

BC / AB = CD / AE

BC = 140 m, AB = 30 m, AE = 25 m

substituting:

140 / 30 = CD / 25

CD = (140 / 30) * 25

CD = 116.67 m

The width of the canal = CD = 116.67 m

When Sandy and Allen's mother decorates the house for a holiday by herself, it takes her 5 hours. When both Sandy and Allen help, the three can finish the job in 2.5 hours. When only Allen helps his mother decorate, it takes the two 3.5 hours. How long would it take Sandy to decorate the house by herself?

Answers

Answer:

8 3/4

Step-by-step explanation:

time for all work:

Mother - 5 hours

Mother + Sandy + Allen - 2.5 hours

Mother + Allen - 3.5 hours

Sandy - x

In 1 hour

Mother - 1/5

Mother + Sandy + Allen - 2/5

Mother + Allen - 2/7

Sandy - 1/x

(M+S+A) - S = (M+A)

2/5 - 1/x = 2/7

solve equation

x = 8 3/4 hours

Hope this helps :)

The number of hours that Sandy took to decorate the house by herself will be 8.75 hours.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

At the point when Sandy and Allen's mom designs the house for a vacation without help from anyone else, it requires her 5 hours. At the point when both Sandy and Allen help, the three can complete the task in 2.5 hours. At the point when just Allen assists his mom with finishing, it requires two 3.5 hours.

Let 'M', 'S', and 'A' be the number of hours of mother, Sandy, and Allen. Then the equations are given as,

M = 5                                                 ...1

1/M + 1/S + 1/A = 1/2.5                       ...2

1/M + 1/A = 1/3.5                               ....3

 

From equations 2 and 3, then we have

1/3.5 + 1/S = 1/2.5

1/S = 1/2.5 - 1/3.5

1/S = 4 / 35

S = 35/ 4

S = 8.75 hours

The number of hours that Sandy took to decorate the house by herself will be 8.75 hours.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

look at image. plssss help​

Answers

Answer: B

Step-by-step explanation:

Since the 3 on the outside of the parenthesis is positive, none of the signs change on the inside of the parenthesis when you distribute the 3.

Answer:

The answer is B)

[tex] \frac{3}{5} x - \frac{3}{7} [/tex]

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