Write the equation of the exponential function given two points: (1,6) (3,96)

Answer/Step-by-step explanation:

✍️Slope of the line using two points, (2, 2) and (6, 10),

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{10 - 2}{6 - 2} = \frac{8}{4} = 2 [/tex]

✍️To find the equation of the line in slope-intercept form, we need to find the y-intercept (b).

Substitute x = 2, y = 2, and m = 2 in y = mx + b, and solve for b.

2 = (2)(2) + b

2 = 4 + b

2 - 4 = b

-2 = b

b = -2

Substitute m = 2 and b = -2 in y = mx + b.

✅The equation would be:

[tex] y = 2x + (-2) [/tex]

[tex] y = 2x - 2 [/tex]

✍️To find the value of a, plug in (a, 8) as (x, y) into the equation of the line.

[tex] 8 = 2(a) - 2 [/tex]

[tex] 8 = 2a - 2 [/tex]

Add 2 to both sides

[tex] 8 + 2 = 2a [/tex]

[tex] 10 = 2a [/tex]

Divide both sides by 2

[tex] \frac{10}{2} = a [/tex]

[tex] 5 = a [/tex]

a = 5

✍️To find the value of b, plug in (4, b) as (x, y) into the equation of the line.

[tex] b = 2(4) - 2 [/tex]

[tex] b = 8 - 2 [/tex]

[tex] b = 6 [/tex]

Answer:

726.572699

Step-by-step explanation:

According to differentials

(x+Δx)³ = x³ + 3x²Δx + 3x(Δx)² + (Δx)³ (Using binomial expansion)

Using this formula to solve (8.99)³, this can also be written as;

(8.99)³ =  (9-0.01)³ where

x = 9

Δx = -0.01

Substitute this vales into the differential expression above

(9+(-0.01))³ = 9³ + 3(9)²(-0.01) + 3(9)(-0.01)² + (-0.01)³

(9+(-0.01))³ = 729 + (243)(-0.01) + 27(0.0001) + (-0.000001)

(9+(-0.01))³ = 729-2.43+0.0027-0.000001

(9+(-0.01))³ = 729-2.43+0.0027-0.000001

(9+(-0.01))³  = 726.572699

Hence 8.99³ = 726.572699 (Using differential)

Using calculator;

8.99³ = 726.572699

Answer:

1. -8 feet= 8 feet

-2 feet= 2 feet

2.  Jordin’s balance is a debt of MORE than 27$

3. Dinah had the greatest DECREASE in weight, with losing 1.4 pounds.

Hope this helps hun! Good Luck!

I think the answer would be 40 questions I don't know if this is actually correct tho

Answer:

use photomath and if that dont work use m a t h w a y

Step-by-step explanation:

Answer:

69°

Step-by-step explanation:

m∠1 + 111° = 180° ⇒ m∠1 = 69°

m∠1 = m∠2 = 69°

Answer:

a) 0.0977

b) 0.3507

c) No it is not unusual for a broiler to weigh more than 1610 grams

Step-by-step explanation:

Mean = 1395 grams

Standard deviation = 200 grams. Use the TI-84 Plus calculator to answer the following.

We solve using z score formula

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

(a) What proportion of broilers weigh between 1160 and 1250 grams?

For x = 1160

z = 1160 - 1395/300

= -0.78333

Probability value from Z-Table:

P(x = 1160) = 0.21672

For x = 1250 grams

z = 1250 - 1395/300

z = -0.48333

Probability value from Z-Table:

P(x = 1250) = 0.31443

The proportion of broilers weigh between 1160 and 1250 grams is

0.31443 - 0.21672

= 0.09771

≈ 0.0977

(b) What is the probability that a randomly selected broiler weighs more than 1510 grams?

For x = 1510

= z = 1510 - 1395/300

z = 0.38333

Probability value from Z-Table:

P(x<1510) = 0.64926

P(x>1510) = 1 - P(x<1510) = 0.35074

Approximately = 0.3507

(c) Is it unusual for a broiler to weigh more than 1610 grams?

For x = 1610

= z = 1610 - 1395/300

z = 0.71667

Probability value from Z-Table:

P(x<1610) = 0.76321

P(x>1610) = 1 - P(x<1610) = 0.23679

No it is not unusual for a broiler to weigh more than 1610 grams

Answer:

2

Step-by-step explanation:

The x-coordinate of point (2, 9) is 2.

The distance from 0 to 2 on a number line is 2.

Answer: 2

The question is incomplete. The dimension of the marble slab is 23 cm by 17 cm by 4 cm.

Solution :

Given

The mass of the marble slab, m = 38.6 kg

                                                    = 38600 g

Length, l = 23 cm

breadth , w = 17 cm

Thickness, h = 4 cm

Therefore, volume of the slab is V = 23 x 17 x 4

                                                         = [tex]$1564 \ cm^3$[/tex]

We know,

[tex]$\text{density}= \frac{\text{mass}}{\text{volume}}$[/tex]

          = [tex]$\frac{38600}{1564}$[/tex]

          = [tex]$24.7 \ g/cm^3$[/tex]

Answer:

srry i cant help but i can talk all ima say is this is some advance math what grade u in im only in 7 and im struggling

Step-by-step explanation:

()-()                                                        

(っ◔◡◔)っ ♥ so yea srry i cant help tho ♥

The amount paid to Imena per hour will be $14.5

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Imena earned $261 last week. She worked 18 hours and earned the same amount each hour.

Imena's earnings for an hour will be calculated as:-

Earning per hour = 261 / 18

Earning per hour = $14.5

Therefore, the amount paid to Imena per hour will be $14.5

To know more about an expression follow

https://brainly.com/question/24392720

#SPJ5

Answer:

20 square inches

Step-by-step explanation:

Set width of sign to x.

Set length of sign to y.

5x=y

2(x+y)=24 inches

2(x+5x)=24 inches

12x=24 inches

width = 2 inches

length = 10 inches

Area = 20 square inches

PLEASE GIVE BRAINLIEST

The area of the rectangular sign will be 20 square inches

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that the length of a rectangular sign is 5 times its width. If the sign's perimeter is 24 inches.

The area of the rectangle will be calculated as follows:-

5x = y

2(x+y)=24 inches

2(x+5x)=24 inches

12x=24 inches

The area of the rectangle:-

width = 2 inches

length = 10 inches

Area = 20 square inches

Therefore, the area of the rectangular sign will be 20 square inches.

To know more about the area follow

https://brainly.com/question/25292087

#SPJ5

Answer:

10/9

Step-by-step explanation:

1/3+7/9=10/9

Step-by-step explanation:

= 1 + 7

3 9

= 9+21

27

= 28

27 ans

Answer:

6/16

Step-by-step explanation:

Write them out bb wwwwwwww gggggg

there are 16 in total so it would be 6/16 because of each color like bb ww gg thats 6 out of 16

The probability of getting 2 socks of the same color is 1/3.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

In the drawer,

Number of blue socks = 2

Number of white socks = 8

Number of gray socks = 6

Total number of socks  = 2 + 8 + 6 = 16

The Total ways to select 2 socks form 16 socks is 120.

The Total ways to select 2 socks of the same color is

T = Possible ways of (2 blue + 2 white +2 gray) socks = 40

The probability of getting 2 socks of the same color is

= 40/120

= 1/3

Therefore, the probability of getting 2 socks of the same color is 1/3.

Learn more about probability here;

https://brainly.com/question/11234923

#SPJ6

Answer: In math, especially when learning algebra and geometry, you are more likely to a lot of deductive reasoning. That is the process of using theorems, properties of numbers and other recognized rules and procedures to solve equations, to prove geometrical constructions, congruence of angles, etc. Deductive reasoning is the foundation of most of that kind of math, so it is more important when learning and applying the principles and theorems.

Inductive reasoning involves taking specific observations and known facts and using them to make predictions and generalizations. You are more likely to use inductive reasoning when working with statistics and probability.

So both are important at some point, but it may be more important to learn deductive reasoning at first.

Answer:

$5 More

Step-by-step explanation:

$26 - $19 = $5

Answer:

She paid $7 more

Answer:

B. They are perpendicular to each other

Step-by-step explanation:

Perpendicular Lines are lines that intersect each other and make a (or multiple) right angles or 90°.

Answer:b

Step-by-step explanation:

Answer:

10 tshirts or 5 sweatshirts

Step-by-step explanation:

One t-shirt + one sweatshirt = $30.

We know that $100 ÷ $30 = 3 times with $10 left over.

This leads to the conclusion that you can buy 4 t-shirts and 3 sweatshirts.

Answer:

401

Step-by-step explanation:

301 + 73 + 27

Using the correct order of operations, you would start by adding 301 to 73. Then you'd add 27 to that sum.

Using the associative property of addition, you change the grouping to add 73 and 27 first since that equals 100, and it's easy to add 100 to 301 mentally.

301 + 73 + 27 =

= 301 + (73 + 27)

= 301 + 100

= 410

Answer:

the answer is that B .P(X)

Answer:

a=10/30

Step-by-step explanation:

because you can simplify it to 2/15

Answer:

x^2 - 6x + 9

Step-by-step explanation:

x(x - 1) = 9

x^2 - x - 9 = 0

x = 3.54 or x = -2.54 (using quadratic formula)

x^2 - 6x + 9 = 0

(x-3)^2 = 0

x = 3

x^2 = 9

x = ±√3 (any positive number square rooted always have 2 answers)

Answer:

70

Step-by-step explanation:

First, to find the constant rate divided 20 miles by 8 days.

20 ÷ 8 = 2.5

Then, we know that in one week there are seven days so we multiply 2.5 x 7

2.5 x 7 = 17.5

Lastly, multiply 17.5 times 4

17.5 x 4 = 70

MARK BRAINLIEST IF IM RIGHT PLEASE HAPPY TO HELP. HAPPY EARLY THANKSGIVING!!!!!

Answer: