Evaluate the following question for f(2) : f(x)=3x+2

Step-by-step explanation:

D

Answer:

x=4

Step-by-step explanation:

I'm good at math.

Given:

The number of bacteria in a culture is increasing according to the law of exponential growth.

After 2 hours, there are 50 bacteria, and after 5 hours, there are 400 bacteria.

To find:

The number of bacteria after 7 hours.

Solution:

Let y be the number of bacteria after x hours.

The general exponential growth model is

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

where, a is initial value and b is growth factor.

After 2 hours, there are 50 bacteria. So, the point is (2,50). Put x=2 and y=50.

[tex]50=ab^2[/tex]         ...(ii)

After 5 hours, there are 400 bacteria. So, the point is (5,400). Put x=5 and y=400 in general exponential growth model.

[tex]400=ab^5[/tex]       ...(iii)

Divide equation (iii) by (ii).

[tex]\dfrac{400}{50}=\dfrac{ab^5}{ab^2}[/tex]  

[tex]8=b^3[/tex]

Taking cube root on both sides, we get

[tex]b=2[/tex]

Put b=2 in (ii).

[tex]50=a(2)^2[/tex]  

[tex]50=4a[/tex]

[tex]\dfrac{50}{4}=a[/tex]

[tex]a=12.5[/tex]

Put a=12.5 and b=2 in (i).

[tex]y=12.5(2)^x[/tex]

This is the equation which represents number of bacteria after x hours.

Put x=7 in the above equation.

[tex]y=12.5(2)^7[/tex]

[tex]y=12.5(128)[/tex]

[tex]y=1600[/tex]

Therefore, the number of bacteria after 7 hours is 1600.

Answer:

84 cents a pound divide 2 1/4 by 1.89 equals 0.84

Step-by-step explanation:

Answer:

huh

Step-by-step explanation:

Answer: A

Step-by-step explanation:

64 is not divided by eight four times. A square has four sides. Since 64 is divided by 16 four times. I think the sides will be of length 16cm.

Hopefully it helps

Answer:

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

1). m∠AEC = m∠AEB + m∠BEC

                  = 21° + 37°

                  = 58°

2). m∠BED = m∠BEC + m∠CED

                   = 37° + 44°

                   = 81°

3). m∠IKF = m∠IKH + m∠HKG + m∠GKF

                = m∠IKH + m∠HKG + m∠IKH [Since, ∠IKH ≅ ∠GKF]

                = 2∠IKH + m∠HKG

         103° = 2∠IKH + 41°

   2(∠IKH) = 103 - 41

 m(∠IKH) = 31°

4). m∠AED = m∠AEB + m∠BEC + m∠CED

                  = 21° + 37° + 44°

                  = 102°

5). m∠JKG = 108°

    m∠JKG = m∠JKI + m∠IKH + m∠HKG

    108° = m∠JKI + 31° + 41°

    m∠JKI = 108° - 72°

    m∠JKI = 36°

6). m∠HKF = m∠GKF + m∠HKG

                  = m∠IKH + m∠HKG [Since, m∠GKF = m∠IKH]

                  = 31° + 41°

                  = 72°

7). m∠NQO = m∠MQN = 64°

8). m∠JKF = m∠JKI + m∠IKF

                 = 36° + 103°

                  = 139°

8). m∠MQO = 2(m∠NQO)

                    = 2(64)°

                    = 128°

9). m∠LQO = 156°

    m∠LQM = m∠LQO - m∠MQO

                    = 156° - 128°

                    = 28°

10. m∠NQP = m∠NQO + m∠OQP

                   = 64° + m∠LQM [Since ∠OQP ≅ ∠LQM]

                   = 64° + 28°

                   = 92°

Answer:

20 c E

12 A G I

8 d H

16 B F

Step-by-step explanation:

Answer:

  see the attachment for a table

Step-by-step explanation:

You asked "how do you do this one?" My answer to that is, "use a graphing calculator or spreadsheet."

The given formula can be evaluated repeatedly for different values of t quite easily by a graphing calculator or spreadsheet. Enter the formula and have it be applied to the given t-values. A spreadsheet provide cell formatting so that rounding can be to whatever precision you desire.

The values in the table attached will need to be rounded to one decimal place "by hand."

__

Note that we have assumed that H(t) and y(t) are the same function.

Answer - 5 3/5

Work -

Step 1: Turn the mixed numbers into improper fractions

4 2/5 = 22/5

1 1/5 = 6/5

Step 2: Add the improper fractions

22/5 + 6/5 = 28/5

Step 3: Simplify

28 / 5 = 5 R3

So, 5 3/5

Answer:

it the first one

Step-by-step explanation:

I'm sorry if worng

Answer:

5x[tex]10^{9}[/tex] is scientific notation for 5,000,000,000

Step-by-step explanation:

5,000,000,000= 5x 1,000,000,000

= 5x [tex]10^{9}[/tex]

The 8-count pack of AA batteries has a lower unit prices of $0.78 per battery.

Option B is correct.

Division in mathematics is the process of breaking a number up into equal parts, and finding out how many equal parts can be made. For example, dividing 15 by 3 means splitting 15 into 3 equal groups of 5.

According to the question

Unit price of 8 AA batteries

= 6.24 ÷ 8

= 0.78

Unit price of 20 AA batteries

= 15.8 ÷ 20

= 0.79

Since, 0.78 < 0.79

Therefore, the unit price of 8 AA batteries is low.

Option B is correct.

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Answer:

3a+16

Step-by-step explanation:

To find perimeter, you add up the lengths of all of the sides.

a+3

a+5

a+8

You would add all of the sides together to get

a+3+a+5+a+8

Let's add the numbers first

3+5+8=16

Now the letters

there are (3) As

3a

The answer is 3a+16

Hope this helps :-)

Answer: x = # of lawns

50 divided by 4 = x

Step-by-step explanation:

not positive but hope it helps

Projectile B begins its descent 1 seconds before Projectile A does.

In Mathematics and Geometry, the y-intercept of any graph or table such as a quadratic equation or function, generally occurs at the point where the value of "x" is equal to zero (x = 0).

By critically observing the table shown in the image attached above, we can reasonably infer and logically deduce the following y-intercept of Projectile A:

y-intercept = (0, 44).

Maximum height = (4, 300).

When t = 0, the y-intercept of Projectile B can be calculated as follows;

h(t) = -16t² + 96t

h(0) = -16(0)² + 96(0)

h(0) = 0.

For the maximum height, we have:

h(t) = -16t² + 96t

h'(t) = -32t + 96

32t = 96

t = 96/32

t = 3

Difference in time = 4 - 3

Difference in time = 1 seconds.

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Answer: 0.75

Step-by-step explanation:

-4.125/-5.5 = 3/4 or 0.75

-4.125/0.75 = -5.5

Answer:

x = 3

Step-by-step explanation:

Simplifying

(2x + -6) + 4(x + -3) = 0

Reorder the terms:

(-6 + 2x) + 4(x + -3) = 0

Remove parenthesis around (-6 + 2x)

-6 + 2x + 4(x + -3) = 0

Reorder the terms:

-6 + 2x + 4(-3 + x) = 0

-6 + 2x + (-3 * 4 + x * 4) = 0

-6 + 2x + (-12 + 4x) = 0

Reorder the terms:

-6 + -12 + 2x + 4x = 0

Combine like terms: -6 + -12 = -18

-18 + 2x + 4x = 0

Combine like terms: 2x + 4x = 6x

-18 + 6x = 0

Solving

-18 + 6x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '18' to each side of the equation.

-18 + 18 + 6x = 0 + 18

Combine like terms: -18 + 18 = 0

0 + 6x = 0 + 18

6x = 0 + 18

Combine like terms: 0 + 18 = 18

6x = 18

Divide each side by '6'.

x = 3

Simplifying

x = 3

Answer:

the answer is 6x-18

Step-by-step explanation:

Answer:

(a) [tex]\hat y=0.919+2.065x[/tex]

(b) 83.6%

Step-by-step explanation:

(a)

A least square regression line is to be formed for predicting beak heat loss, as a percent of total body heat loss, from temperature.

Use MS-Excel to form the regression line.

Go to Data → Data Analysis → Regression

A dialog box will open.

Select the X and Y variables.

Press OK.

The regression output is attached below.

The equation of the least‑squares regression line is:

[tex]\hat y=0.919+2.065x[/tex]

(b)

The coefficient of determination R² specifies the percentage of the variance in the dependent variable (Y) that is forecasted or explained by linear regression and the forecaster variable (X, also recognized as the independent variable).

Consider the regression output attached below.

The R² value is 0.8360.

That is 83.6% of the variation in beak heat loss is explained by the straight‑line relationship with temperature.

Answer:Look at the step by step it’s correct

Step-by-step explanation:

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. The correct option is D.

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

Suppose that the given quadratic equation is

 ax² + bx + c = 0

Then its roots are given as:

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

For the given equation, the value of a, b, and c is 1, -10, and 125, respectively. The roots of the given quadratic equation are,

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \dfrac{-(-10) \pm \sqrt{(-10)^2 - 4(1)(125)}}{2(1)}\\\\x = \dfrac{10 \pm \sqrt{100 - 500}}{2}\\\\x = \dfrac{10 \pm 20i}{2}\\\\[/tex]

x = 5 ± 10i

Hence, the correct option is D.

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Answer:

$2,149.63

Step-by-step explanation:

She makes an initial payment of $1,451 and pays one-third of the previous month's payment each of the following months.

1/3 × $1,451 = $483.67 (second month)

$483.67 + $1,451 = $1,934.67

1/3 × $483.67 = $161.22 (third month)

$161.22 + $1,934.67 = $2,095.89

1/3 × $161.22 = $53.74 (fourth month)

$53.74 + $2,095.89 = $2,149.63

$2,149.63 of the invoice will be paid after the fourth month.

Hope that helps.

Approximately $2,149.63 of the invoice will be paid after the fourth month.

Option C is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example: so

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

The patient makes an initial payment of $1,451 in the first month.

In each subsequent month, the patient pays one-third of the previous month's payment.

Let P be the amount paid in the first month, and let M be the amount paid in each subsequent month.

Then we have:

P = $1,451

M = (1/3)P

So the amounts paid in each month are:

Month 1: $1,451

Month 2: (1/3)P = (1/3)($1,451) = $483.67

Month 3: (1/3)M = (1/3)($483.67) = $161.22

Month 4: (1/3)M = (1/3)($161.22) = $53.74

The total amount paid after four months.

= $1,451 + $483.67 + $161.22 + $53.74

= $2,149.63

Therefore,

Approximately $2,149.63 of the invoice will be paid after the fourth month.

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sets of rational numbers = Q

sets of rational numbers is represented by [tex] \mathbb{Q}[/tex]

Sets of intigers is represented by Z

Sets of whole numbers is represented by W

Your answer should be 9 inches long