can some body help me for this problem, and thanks for the help

Answers

Answer 1

The exponent is greater than 1 so it is exponential growth, 500 in the equation represents the initial value, and the growth rate in the second equation is 6%.

What is exponential decay?

During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.

We have an exponential function:

[tex]\rm b_1(t) = 500(1.6)^t[/tex]

a) As the base of the exponent is greater than 1 so it is exponential growth.

b) 500 in the equation represents the initial value.

c) We have another exponential equation:

[tex]\rm b_2(t) = 800(1.6)^t[/tex]

For exponentikal gropwth:

1 + r = 1.6

r = 0.6 or

r = 6%

In the equation:

[tex]\rm b_1(t) = 500(1.6)^t[/tex]

The number of bacteria initially was 500 and from the second the number of bacteria initially was 800.

Thus, the exponent is greater than 1 so it is exponential growth, 500 in the equation represents the initial value, and the growth rate in the second equation is 6%.

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Related Questions

Solve the quadratic equation 9x ^ 2 - 6x = 11 using the quadratic formula.

Answers

Answer:

x = 1.48803, x= -0.821367

Step-by-step explanation:

9x²-6x=11

9x²-6x-11=0

use quadratic formula: x = [- b ± √b²- 4ac)]÷ 2a

Answer:

x =1+2{3 over 3

Step-by-step explanation:

Which of the following is an arithmetic sequence?
0, 2, 4, 6, ...
1, 2, 4, 8, ...
1, 4, 8, 13, ...

Answers

Answer:

Step-by-step explanation:

an arithmetic sequence is a sequence that is increasing or decreasing by a constant number (addition)

A because the other guy said it and I Trust him very much please and thank you

NEED TO KNOW ASAP
Which of the following is a quadratic inequality?
Oy<2x+7
Oy Oy

Answers

Answer:

Step-by-step explanation:

A quadratic inequality is one that involves a quadratic polynomial.

Identification

The degree of a polynomial is the value of the largest exponent of the variable. When the degree of a polynomial is 2, we call it a quadratic.

For the following inequalities, the degree of the polynomial in x is shown:

y < 2x +7 . . . degree 1y < x^3 +x^2 . . . degree 3y < x^2 -5x . . . degree 2 (quadratic)

Application

We see that the degree of the polynomial in x is 2 in ...

y < x^2 -5x

so that is the quadratic inequality you're looking for.

Additional comment

When a term involves only one variable, its degree is the exponent of that variable: 5x^3 has degree 3. When a term involves more than one variable, the degree of the term is the sum of the exponents of the variables: 8x^4y3 has degree 4+3=7.

Which ordered pair would form a proportional retationship with the points in the graph?
4,4
6,9
9,6
8,5

Answers

Answer:

(9, 6)

Step-by-step explanation:

the given points are

(3, 2)

(6, 4)

so, can you see, how the sequence continues ?

I see immediately that for every 3 additional units of x we add 2 units of y.

so, yes, the next point in the sequence is

(6 + 3, 4 + 2) = (9, 6).

so, this point (or ordered pair) follows the same ratio or proportional relationship between x and y as the points already in the graph.

in other words, they are on the same line following the same slope ("y coordinate change / x coordinate change" when going from one point on the line to another).

True or False? If ab>0, then a>0, b>0 or a<0, b<0

Answers

Answer:

true

2. If ab = 0, then a = 0 or b = 0. This statement is true. It is a property of the real numbers which was stated in class

It’s true good job for asking

Write 4 fractions that are equivalent to 6/8.

Answers

Answer:

6/8 is an equivalent fraction of 3/4.

We can find some other equivalent fractions by multiplying the numerator and the denominator of the given fraction by the same number. Thus, the equivalent fractions of 3/4 are 6/8, 9/12, 12/16, and 15/20.

Answer:

below

Step-by-step explanation:

6/8 = 3/4, 9/12, 12/16 and 15/20

A triangle has one side length of 2x

2 + 5x + 3. The other two sides of the triangle have lengths x

2 + 2x and
3x − 2. Determine the simplified expression that represents the total perimeter of the triangle.

Answers

The simplified expression that represents the total perimeter of the triangle is 2x^2 + 10x + 3

How to determine the perimeter?

The side lengths are given as:

2x^2 + 5x + 3, 2 + 2x and 3x - 2

Add these lengths to determine the perimeter (P)

P = 2x^2 + 5x + 3 + 2 + 2x + 3x - 2

Collect like terms

P = 2x^2 + 5x + 2x + 3x + 3 + 2 - 2

Evaluate the like terms

P = 2x^2 + 10x + 3

Hence, the simplified expression that represents the total perimeter of the triangle is 2x^2 + 10x + 3

Answers

The equation of an ellipse for the graph shown is [tex]\frac{x^2}{5^2} + \frac{y^2}{21^2} = 1[/tex]

How to determine the equation?

Since the given coordinates of the vertices and foci have the form (-5, 0) and (5, 0) and (-2, 0) and (2, 0) respectively, this ultimately implies that the major axis of this ellipse is the x-axis.

Thus, the standard form of the equation of this ellipse is given by:

[tex]\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1[/tex]

Next, we would solve for b² by using this equation:

b² = a² - c²

b² = 5² - 2²

b² = 25 - 4

b² = 21.

Substituting the parameters into the standard equation of an ellipse, we have;

[tex]\frac{x^2}{5^2} + \frac{y^2}{21^2} = 1[/tex]

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25 POINTS

What is the next term of the geometric sequence? -1/7, 4/7, -16/7

Answers

Answer:

64/7

Step-by-step explanation:

Each term is multiplied by -4 (a number not a fraction as the denominator stays the same each time).

[tex]\frac{-16}{7} *\frac{-4}{1}= \frac{64}{7}[/tex]

Answer

64/7

Step-by-step explanation:

Khan <3

What is root -9 + root -12 written as a complex number in the form a + bi ?

Answers

Answer:

Step-by-step explanation:

I assume you are talking about square roots when you say root...

Sqrt(-9) = 3i

Sqrt(-12) = 2Sqrt(3)i

Complex number is 3 + 2Sqrt(3) i

PLEASE give me the answer to #26 -#29

Answers

Answer:

26. y= 3/1 x + c

27. m = 1 so eqn will be y = 1x + c

Step-by-step explanation:

find the slope if not given and then use the eqn,

y= mx + c

where m is slope and c is y intercept

How do the angle measures of polygon ABCD compare with the angle measures in the reflected image? How do the side lengths compare? What can you say about the preservation of the angle measurements and side lengths of a shape during a reflection?

Answers

The measures of the angles ABCD are the same as the measures of the angles that is corresponding based on the reflected images.

How to show that the angles are equal

Based on the fact that this is a reflection, the angles would be equal measures.

What this means is that there is a preservation of the of the reflected image. This is the same logic for the length of the sides.

The reflection is known to be a rigid type of transformation that is known to have its angles and sides preserved.

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Answer:

The measures of the interior angles of polygon ABCD are equal to the measures of the corresponding angles in the reflected image. This means that angle measurements of the polygon are preserved as the image is reflected. The same is true for the side lengths. The measures of both angles and sides are preserved in a reflection. A reflection is a rigid transformation.

Step-by-step explanation:

Edmentum sample answer

Barry grows apples, blueberries, grapes, and zucchini on his farm. He sells his grapes for $3.50 per pound. How much money did he make selling grapes on Saturday and Sunday?

A)$52.50
B)$108.50
C)$101.50
D)$49.00

Answers

Answer:

ok so this might look confusing what you have to do is just ignore part of the problem in this one just ignore apples, blueberries and zucchini their not important

on saturday it looks like he sold 14 pounds on sunday 15 pounds

14+15=29

and each pound is 3.50 so

29*3.5= 29*3+29*0.5

29*3=87

29*0.5=14.5

87+14.5=101.5

Hope This Helps!!!

If 9/16 represents the ratio of the areas of two similar triangles, the ratio of the
corresponding
sides would be:

Answers

Answer is 81/256
Reason

theorem of areas of similar triangles "When two triangles are similar, the ratio of areas of those triangles is equal to the ratio of the squares of their corresponding sides".
The square root of 81 is 9
The square root of 256 is 16

Consider the two triangles.

Triangles W U V and X Z Y are shown. Angles V U W and Y X Z are congruent. Angles U W V and X Z Y are congruent. Angles U V W and Z Y X are congruent. The length of side V W is 60 and the length of side Z Y is 48. The length of side Y X is 40 and the length of V U is 50. The length of side U W is 40 and the length of X Z is 32.

How can the triangles be proven similar by the SSS similarity theorem?

Show that the ratios StartFraction U V Over X Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over Z Y EndFraction are equivalent.
Show that the ratios StartFraction U V Over Z Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over X Y EndFraction are equivalent.
Show that the ratios StartFraction U V Over X Y EndFraction and StartFraction W V Over Z Y EndFraction are equivalent, and ∠V ≅ ∠Y.
Show that the ratios StartFraction U V Over Z Y EndFraction and StartFraction W U Over Z X EndFraction are equivalent, and ∠U ≅ ∠Z.9.8 inches

Answers

The ratios StartFraction U V Over Z Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over X Y EndFraction are equivalent.

Similarity theorem of triangles

For two triangles to be similar, the ratio of the measure of similar sides of the triangle must be equal to a constant known as a scale factor.

From the given figures, the expression that can be used to prove that the triangles are similar is as shown;

UV/ZY = WU/ZX = WV/XY

Hence the correct option is to show that the ratios StartFraction U V Over Z Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over X Y EndFraction are equivalent.

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Triangles L M N and P O N connect at point N. Angles L M N and N O P are congruent.
Why is the information in the diagram enough to determine that △LMN ~ △PON using a rotation about point N and a dilation?

because both triangles appear to be equilateral
because∠MNL and ∠ONP are congruent angles
because one pair of congruent corresponding angles is sufficient to determine similar triangles
because both triangles appear to be isosceles, ∠MLN ≅ ∠LMN, and ∠NOP ≅ ∠OPN

Answers

Answer: because ∠MNL and ∠ONP are congruent angles

Step-by-step explanation:

Options 1 and 4 are wrong because we cannot base our answer on assumptions from the diagram.

Option 3 is wrong because you need two pairs of corresponding congruent angles to prove similar triangles, not just 1.

Quick algebra 1 question for 50 points! :)

Answers

Answer:

a. $6

b. the point (1,6)

c. slope of line is y=6x, plug in 1 as x

Step-by-step explanation:

Answer:

Adam deposit $6 each week

I determined the answer, based on the point (1,6)

For question c, slope of line is y = 6x because 1 will not count in here

Step-by-step explanation:

When I was in Algebra 1, I did get this similar question.

Which of the following has no inverse?
a) y=√x
b) y=x³
c) y=x²
d) y=x

Answers

I would say answer A

In the grocery store, a trolley can hold 20 lbs of groceries. annie put 12 lbs 8 oz of groceries on the trolley. how much more weight can the trolley hold ?

Answers

7 lbs 8 oz more weight can the trolley hold the trolley can hold 20 lbs of groceries and Annie put 12 lbs 8 oz of groceries on the trolley. This can be obtained by converting the values to oz and subtracting them.

How much more weight can the trolley hold ?

We know that, 1 lbs = 16 oz

Capacity of the trolley = 20 lbs

= 20 × 16 oz

= 320 oz

Weight put in the trolley = 12 lbs 8 oz

= ( 12 × 16 ) + 8 oz

= 192+8 oz

= 200 oz

Remaining weight that the trolley can hold = 320 oz - 200 oz

= 120 oz

= (7 × 16) + 8 oz

= 7 lbs 8 oz

Hence 7 lbs 8 oz more weight can the trolley hold the trolley can hold 20 lbs of groceries and Annie put 12 lbs 8 oz of groceries on the trolley.

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Find last year's salary if, after a 4% pay raise, this year's salary is 31,720

Answers

Answer:

30500[tex].[/tex]

Step-by-step explanation:

104%=31,720

100%= x

[tex]\frac{(31720)(100)}{104}=30500[/tex]

The exterior angle of a regular polygon is 225 degree find the number of sides

Answers

Answer:

1.6sides

Step-by-step explanation:

Sum of total exterior angle/One exterior angle

360/225=1.6sides

This too!! Once again, thank you!

Answers

Answer:

For question 3, the slope would be -5

Step-by-step explanation:

If you wanted to graph this you would have to plot one of the points that is already given. Then from that point, you would move 5 units down and 1 unit to the right. If you run out of space, you can go to the other direction by going 5 units up and 1 to the left.

Hope this helps :)

When a number is divided b 7, the quotient is 247 and the rimainder is 3,what is the number

Answers

The number, which on divided by 7 gives a quotient of 247 and a remainder of 3 is 1732. Computed using linear equations.

In the question, we are informed that a number when divided by 7, gives a quotient of 247 and a remainder of 3.

Assuming the number to be x.

We can say that x is our dividend, 7 is the divisor, 247 is the quotient, and 3 is the remainder.

The division algorithm equation is:

Dividend = Divisor*Quotient + Remainder,

Substituting values in this equation, we get a linear equation:

x = 7*247 + 3.

To solve for the unknown number x, we solve the equation as follows:

x = 7*247 + 3,

or, x = 1729 + 3,

or, x = 1732.

Thus, the number, which on divided by 7 gives a quotient of 247 and a remainder of 3 is 1732. Computed using linear equations.

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I would appreciate if someone could explain this to me , thanks

Answers

Answer: 0.001389

Step-by-step explanation:

Since you have 6 probabilities that it could be red, you get 1/6. Now, you took 1 probability out of 6, so now you only have 5. So you multiply 1/6 by 1/5. Now you have only 4 cards. Multiply 1/ 6 * 1/5 * 1/4 and keep going (e.g 1/6 * 1/5 * 1/4 * 1/3 * 1/2 * 1). This comes out to 0.00138888888, or rounded to six decimal places, 0.001389.

If my answer was helpful, please mark it as brainliest. The other dude's answer was WRONG.

In a triangle If angle c is 40 degrees and angle a is 75 degrees what is angle b

Answers

Answer:

65°

Step-by-step explanation:

The sum of the internal angles of a triangle is 180°

40° + 75° + b° = 180°

115° + b° = 180°

b° = 180° - 115°

b° = 65

please help ASAP!!!
66. Jane has determined that 169 < x < 196. What
must be true about √x?
A. 13 < x < 14
B. 84.5 < x < 98.0
C. 338 < x < 392
D. 28, 561 < x < 38,416

Answers

Answer:

A. 13 < X < 14

Step-by-step explanation:

Because x is square rooted, that means the other values inside the equation will also be square rooted. If we square root 169, that would be 13 & since there is only one option with 13, the answer will be A.

May someone help me please?

Answers

ANSWER: Isosceles

Explanation: few triangles have both and altitude and a median as the same line

Jun wei has 12 more 10 cents coins than 20 cents coins. the total value of all the coins is $5.40. find the total number of coins he has.

Answers

Jun Wei has a total of 40 coins. An algebraic expression or equation with the given information is formed to calculate the total number of coins.

What is an algebraic expression?

An algebraic expression is the combination of one or more variables, coefficients, and constants separated by operators. Each of them is called terms of the expression.

Eg: a + 6x + 5y + 2

Here there are 4 terms with 3 variables, 3 coefficients, and one constant.

Calculation:

Given that,

Jun Wei has 12 more 10 cents coins than 20 cents coins.

So,

Consider the number of 20-cent coins = x

Then, the number of 10 cent coins = x + 12

It is given that the total value of all the coins is $5.40.

Where 1 $ = 100 cents. That implies, $5.40 = 540 cents

So,

the total value of the coins = 540 cents

⇒ 20(x) + 10(x + 12) = 540

⇒ 30x = 540 - 120

⇒ 30x = 420

∴ x = 40

Hence, there are 40 coins with Jun Wei.

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Please answer with everything needed i appreciate everyones help:0)

Answers

Answer:

Step-by-step explanation:

please mark brainliest

Answer:

the 3rd answer option

Step-by-step explanation:

why ?

Answers

In the given diagram, the value of y is 53°

Circle Geometry

From the question, we are to determine the value of y

The angle subtended by the arc is 74°. This is the angle the arc subtends at the center of the circle.

Then,

74° + y + y = 180° (Sum of angles in a triangle)

74° + 2y = 180°

2y = 180° - 74°

2y = 106°

y = 106°/2

y = 53°

Hence, the value of y is 53°

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