find the initial amount a and the decay factor b in the exponential function y=5.05^x

Answers

Answer 1

Answer:

[tex]a = 5[/tex]

[tex]b = .05[/tex]

Step-by-step explanation:

Given

[tex]y = 5\ .05^x[/tex]

Required

Determine a and b

An exponential function is represented as:

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

By comparing:[tex]y =ab^x[/tex] with [tex]y = 5\ .05^x[/tex]

[tex]a = 5[/tex]

[tex]b = .05[/tex]


Related Questions

f(x)=x^2+3x-5. find and simplify f(x+h)-f(x)

Answers

Answer:

[tex]f(x + h) - f(x) = h^2 + 3h - 5[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^2 + 3x - 5[/tex]

Required

Find f(x + h) - f(x)

In functions:

[tex]f(x + h) = f(x) + f(h)[/tex]

So:

[tex]f(x + h) - f(x) = f(x) + f(h) - f(x)[/tex]

Collect Like Terms

[tex]f(x + h) - f(x) = f(x) - f(x)+ f(h)[/tex]

[tex]f(x + h) - f(x) = f(h)[/tex]

Solving for f(h)

[tex]f(h) = h^2 + 3h - 5[/tex]

So:

[tex]f(x + h) - f(x) = h^2 + 3h - 5[/tex]

hey click here and answer correct or i will report YOU !

Answers

9514 1404 393

Answer:

cabd

Step-by-step explanation:

1. √2 ≈ 1.414, √3 ≈ 1.732. The only rational numbers listed are 1.5 and 1.8. Of those, only 1.5 falls in the required range.

__

2. The remainder theorem tells you the remainder from the division will be the value of the dividend when x is -1/2. (x = -1/2 makes the divisor zero.) That value is ...

  8x²(x² -1) +7 = 8(1/4)(1/4 -1) +7 = 2(-3/4) +7 = 14/2 -3/2 = 11/2

__

3. The x-coordinate of 0 means the point lies on the y-axis.

__

4. Filling in the values of x and y, you find k to be ...

  2(2) +3(-1) = k = 1

1. The radius of a circle is 10 inches. What is the Circumference? Round to the nearest tenth.

Answers

Answer:

62.83 inches

Step-by-step explanation:

The circumference of a circle with a radius of 10 is 62.83.

There are 27
basketball players on the Greenland Basketball Team.
Of the 27 players, 1/9 of them are left-handed. How
many players are left handed? Be sure to show your

Answers

Answer:

3 players

Step-by-step explanation:

So, all you have to do is multiply 27 by 1/9 to get 3. Or, you could try figure out what number needs to be multiplied by 9 to get 27, which is also 3.

what is the value of 3-6(z-2) if z=-2

Answers

Answer:

27

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

3 - 6(z - 2)

z = -2

Step 2: Evaluate

Substitute in z:                   3 - 6(-2 - 2)(Parenthesis) Subtract:      3 - 6(-4)Multiply:                              3 + 24Add:                                    27
Given :

z = - 2

To Find :

3 - 6(z - 2) = ?

Solution :

By substituting value of z = - 2 in 3 - 6(z - 2), we get :

[tex] \tt : \implies 3 - 6(z - 2) = 3 - 6((-2) - 2)[/tex]

[tex] \tt : \implies 3 - 6(z - 2) = 3 - 6(-2 - 2)[/tex]

[tex] \tt : \implies 3 - 6(z - 2) = 3 - 6(- 4)[/tex]

[tex] \tt : \implies 3 - 6(z - 2) = 3 + 24[/tex]

[tex] \tt : \implies 3 - 6(z - 2) = 27[/tex]

[tex] \large \underline{\boxed{\bf{ 3 - 6(z - 2) = 27}}}[/tex]

Hence, value of 3 - 6(z - 2) = 27.

Kiran and Clare like to race each other home from school. They run at the same speed, but Kiran's house is slightly closer to school than Clare's house. On a graph, their distance from their homes in meters is a function of the time from when they begin the race in seconds.

As you read the graphs left to right, would the lines go up or down?
What is different about the lines representing Kiran's run and Clare's run?
What is the same about the lines representing Kiran's run and Clare's run?

Answers

Answer:

1. Down.

2. Clare's line would be higher because she begun further away from her house.

3. The lines would have the same slope since they are going the same speed.

Step-by-step explanation:

HELP ME PLEASEEEEE THIS IS SO HARD

Answers

#4 would be “right angles are congruent”

Answer:

4. Given

6. Definition of verticle angles

7. Algebra/part-whole-postulate/sum of interior angles in a triangle/CPTCTC (Corresponding parts of congruent triangles are congruent)

Step-by-step explanation:

number 4 is just...given because it shows that they're both right angles

6, it's literally the definition of verticle angles

7, since we know that angle TQU and angle RSU are congruent and angle QUT and SUR are congruent, if we subtract those from 180, that means those two angles also have to be congruent

Also, the two triangles are congruent by LA or ASA, so CPCTC would also work

Part-whole-postulate, same reasoning as algebra.

Sum of interior angles in a triangle, same as algebra.

Hope this helped, let me know if you have any questions.

What does the caste system stand for?

Answers

A caste system is a class structure that is determined by birth. Loosely, it means that in some societies, if your parents are poor, you're going to be poor too. The same goes for the rich.

What is the first step to solve for 7 − 4 = 18? *


A. Add -7 on both sides of the equation

B. Add 7 on both sides of the equation.

C. Multiply -4 on both sides of the equation.

D. Multiply on both sides of the equation.​

Answers

A is the best answer

¹½ x 2⅓=

1⅐ x ⅘=

⅞ x 3¼=

1⅔ x 1¼=

3¾ x 2⅖=

6⅔ x 3(small 10)

I NEED HELP :(​

Answers

Answer:

i dont really know the question

Step-by-step explanation:

can any one figure this out plz

Answers

Answer:

(a)(b)=0.45

a/b=0.8

Step-by-step explanation:

a=0.6

b=0.75

(a)(b)=(0.6)(0.75)=0.45

a/b=0.6/0.75=0.8

Answer:

a*b =  0.5

a/b =  0.888...

Step-by-step explanation:

0.6666... = 2/3

a*b = 2/3 * 3/4 = 1/2 = 0.5

a/b = (2/3) / (3/4) = 8/9 = 0.888...

A line passes through the points (0, 2) and (1, 8). What is its equation in slope-intercept form?

Answers

Answer:

y=6x+2

Step-by-step explanation:

y=mx+b

-the y and x are variables and your going to want to leave them that way.

-m is the slope

-b is the y-intercept

after plotting your points and drwaing a line through them you get your final equation

Find the values of x and y in the diagram. ​

Answers

Answers:

x = 18

y = 6

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

Explanation:

Focus on triangle TRS. This triangle has congruent base angles as shown by the double arcs. This means that the sides opposite these angles (TR and RS) are congruent. So TR = RS.

Because RS = 11, this makes TR = 11 too.

Now move onto triangle UTR. This triangle is equilateral because each angle is the same measure (each angle being 60 degrees).

So UT and TR are the same length, and,

UT = TR

x-7 = 11

x-7+7 = 11+7

x = 18

--------------

Since every angle of triangle UTR is 60 degrees, this makes angle URT 60 degrees and angle TRS to be 180-60 = 120 degrees.

Move back to triangle TRS. We have these interior angles:

R = 120T = 5yS = 5y

For any triangle, the interior angles always add to 180

R+T+S = 180

120+5y+5y = 180

10y+120 = 180

10y = 180-120

10y = 60

y = 60/10

y = 6

Please answer this correctly without making mistakes

Answers

Answer:-111

and -99

Step-by-step explanation:

Answer:

-111 and -99 ( in order)

Step-by-step explanation:

Have a great day!

please help me ASAP!!!

Answers

Answer:

z = -3/2 , z = -1/2

Step-by-step explanation:

Given:

7z² + 8z + 3 = 3z²

Find:

Values of z

Computation:

7z² + 8z + 3 = 3z²

7z² + 8z + 3 - 3z² = 0

4z²+ 8z + 3 = 0

4z²+ (6+2)z + 3 = 0

4z²+ 6z + 2z + 3 = 0

2z(2z + 3) + 1(2z + 3) = 0

(2z + 3)(2z + 1) = 0

So,

z = -3/2 , z = -1/2

What is a translation (math)

Answers

Answer:

Translation is a term used in geometry to describe a function that moves an object a certain distance. The object is not altered in any other way. It is not rotated, reflected or re-sized. In a translation, every point of the object must be moved in the same direction and for the same distance.

Step-by-step explanation:

Hope that helped :)

Answer:

"Sliding": moving a shape without rotating or flipping it.

The shape still looks exactly the same, just in a different place.

Step-by-step explanation:

In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure or a space by the same distance in a given direction. A translation can also be interpreted as the addition of a constant vector to every point, or as shifting the origin of the coordinate system.

The number of calories burned by a 90-pound cyclist is proportional to the number of hours the cyclist rides. The equation to represent this relationship is y = 225x. What is the constant of proportionality?

A:135

B:225

C:315

D:90

Answers

Answer:

The constant of proportionality is 225

Step-by-step explanation:

Given

[tex]y = 225x[/tex]

Required

Determine the constant of proportionality (k)

A direct proportion is represented as:

[tex]y = kx[/tex]

Where k is the constant of proportionality

By comparing:

[tex]y = kx[/tex] to [tex]y = 225x[/tex]

Hence:

[tex]k = 225[/tex]

Mathematics Question,

Answers

Answer:

put a line straight through the middle of the angle

Step-by-step explanation:

Answer:

A line through the center of the angle

Step-by-step explanation:

The "angle bisector" is a line that will cut the angle perfectly in half.

Which expression is equivalent to 2(5 – 3x)? 10 - 5x B B) 10 - 6x 0 7 - 5x D) 7 - 6x​

Answers

Answer:

B) 10-6x is the answer ...

stubbom goats wo
[tex]rewrite \: the \: following \: sentence \: in \: the \: passive \: voice \\the \: people \: of \: zanzibar \: exetended \: a \: warm \: welcome \: to \: the \: tourists[/tex]

5.1.2
Rewrite the following sentence in the passe Voice
The people of Zanzar estender a warm watcome to the founsts​

Answers

Answer:

The people of Zanzar estender a warm watcome to the founsts​

Step-by-step explanation:

you said rewrite it so this should be your answer

(6, -12), (15,-3)
slopeee

Answers

The answer is
M=1
Your welcome:)

A 17 foot ladder is placed against a vertical wall so that the base of the ladder is 8 feet from the base wall how far up the wall does the ladder reach

Answers

Answer:

Your answer......15 feet

WANT MORE THEN FOLLOW ME, LIKE & MARK MY ANSWER AS BRAINLIST ANSWER

Can someone please help me with this show work bc I don’t understand this I’ll give brainliest

Answers

Answer: 9

[tex]\frac{30a^{6}b^{10} }{12a^{11}b^{6} }=\frac{5b^{4} }{2a^{5} }[/tex]

but [tex]\frac{30a^{6}b^{10} }{12a^{11}b^{6} }=\frac{5b^{m} }{2a^{n} }[/tex]

=> m = 4

    n = 5

=> m + n = 4 + 5 = 9

Step-by-step explanation:

Who's the 34th president of America​

Answers

Answer:

Dwight David Eisenhower

Answer:

Dwight D. Eisenhower is the 34th president of America. He served as president for 2 terms, from 1953 to 1961.

HELP PLSSSSSS



Mallory bought pizza and soda for her End of Summer party. If she spent $12.57 on the
sodas and $10.95 for each pizza, how many pizzas did she buy if she spent $89.22?
Which equation models this scenario?
12.57 + 10.95 = 89.22
10.95x + 12.57 =
89.22
12.57x + 10.95 =
89.22
89.22x - 10.95 = 12.57

Answers

Answer:

10.95x + 12.57 = 89.22

Step-by-step explanation:

texto expositivo de el derecho a la educación​

Answers

Answer:

Step-by-step explanation:

El derecho a la educación es un derecho humano que tiene como finalidad establecer una educación primaria para todos los niños y niñas, desarrollar una educación secundaria accesible progresivamente a todos los niños y niñas y el acceso a la educación superior en función de los méritos.

In \triangle UVW,△UVW, \overline{UV}\cong \overline{WU}
UV

WU
and \text{m}\angle W = 31^{\circ}.m∠W=31

. Find \text{m}\angle U.m∠U

Answers

Answer:

Hi how are you doing today Jasmine

In triangle UVW, If m∠U = m∠W of a triangles then m∠U = 74.5° when m∠W=31°

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

The sum of all angles of a triangles should be equal to 180 degrees

Given that the angles opposite UV and VW are congruent.

So ΔUVW is an isosceles triangle.

Which is nothing but m∠U = m∠W

Since the measures of the angles of a triangle have a sum of 180, then

m∠U + m∠W + m∠V = 180

m∠U + m∠U + 31 = 180

Subtract 31 from both sides

2 m∠U = 180-31

2 m∠U =149

Divide both sides by 2

m∠U =74.5°

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ2

Each circle counts as one whole, Write a mixed number giving the amount shaded. Then, write this amount as an improper fraction.​

Answers

Answer:

[tex]2 \frac{2}{5} [/tex]

[tex] \frac{12}{5} [/tex]

Step-by-step explanation:

As a mixed fraction, There are 3 circles with 5 pieces in each so our denominator will be 5

The number that is shaded is 2 whole circles so that is 10 and 2 out of 5 of last one.

The whole number is 2 and the fraction for the last circle is 2/5 so our mixed number is

[tex]2 \frac{2}{5} [/tex]

Now to find the improper fraction turn 2 into a fraction with 5 as a denominator.

[tex] \frac{2}{1} \times \frac{5}{5} [/tex]

Which equal

[tex] \frac{10}{5} [/tex]

Then add 2/5 to 10/5

[tex] \frac{10}{5} + \frac{2}{5} = \frac{12}{5} [/tex]

A rectangle has a length of (5x+2) and a width of (3x-7). Find the perimeter of the rectangle.

Answers

Answer:

Perimeter = 2(5x-2)+2(3x-7)

Step-by-step explanation:

The perimeter (P) of any rectangle can be represented in terms of length (L) and width (W) with the equation P=2L+2W.

You multiply the length and width of the rectangle by two, since it's only giving one expression for the length and width.

Hope this helps!

please helo my screenshot below

Answers

Answer:

0.0451

Step-by-step explanation:

Answer:

451/10000 or 0.0451 in decimal form

Step-by-step explanation:

Hope this helps :)

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