All categories

3 years ago

PLEASE HELP!

Mathematics

1 answer:

Leona [35]3 years ago

7 0

Answer:

The initial temperature of the object was 37.6

Step-by-step explanation:

we have

$f(t)=Ce^{(-kt)} +20$

where

f(t) represent the temperature of the object in degree Celsius

t is the time in minutes

Find the value of the constant C

we have the ordered pair (4,35)

substitute in the equation and solve for C

$35=Ce^{(-0.0399*4)} +20\\Ce^{(-0.0399*4)}=15\\C=15/e^{(-0.0399*4)}\\C=17.6$

Find the initial value of the object

we know that

The initial temperature is the value of f(t) when the value of t is equal to zero

For t=0

$f(0)=(17.6)e^{(-k*0)} +20\\f(0)=17.6 +20\\f(0)=37.6$

therefore

The initial temperature of the object was 37.6 (I not include units)

You might be interested in

An amusement park sold 27 child tickets. The other 23 tickets it sold were adult tickets. What is the ratio of the number of adu

amm1812

Answer:

23/50

Step-by-step explanation:

27 + 23 = 50 (Implying that 50 is the total amount of tickets).

23 of them were sold to adults, so basically 23/50.

Remember a ratio can be written in 3 forms, so it can be either of these:

23:50

23/50

23 to 50

5 0

2 years ago

Find the ages of the people and tree

Harlamova29_29 [7]

Answer:

1. Callum = 2; Eilidh = 17; Caitlin's =22.

2. Ewan = 44; tree = 308.

Explanation:

Q1. Callum, Eilidh, and Caitlin

Let x = Callum's age

y = Eilidh's age

z = Caitlin's age

We have three conditions.

(1) x = y - 5

(2) z = y + 15

(3) x + y + z = 31

Step 1. Eliminate one of the variables in two of the equations

Subtract (1) from (2): z - x = 20

Rearrange: (4) -x + z = 20

Solve (2) for y: (5) y = z - 15

Substitute into (3): x + z - 15 + z = 31

(6) x + 2z = 46

Step 2. Set up two new equations in two variables

(5) -x + z = 20

(6) x + 2z = 46

Add (5) and (6): 3z = 66

Divide each side by 2: z = 22

Step 3. Substitute z into (5)

-x + 22 = 20

x = 2

Step 4. Substitute x into (1)

2 = y - 5

Add 5 to each side y = 7

Callum's age is 2; Eilidh's age is 7; Caitlin's age is 22.

Q2. Ewan and the tree

Let x = Ewan's age

y = tree's age

We have two conditions.

(1) y = 7x

(2) x + y = 352

Rearrange (1) (3) -7x + y = 0

(2) x + y = 352

Subtract (3) from (2) 8x = 352

Divide each side by 8 x = 44

Substitute y into (1) y = 7 × 44

y = 308

Ewan's age is 44; the tree's age is 308.

5 0

3 years ago

If I had 2 watermelons and 4 grapes. How many cherries do I have

Mandarinka [93]

You have zero cherries.

7 0

3 years ago

Uniforms are in package of 8 . There are 127 people each person gets 3 uniforms how many packages will store need to order

lora16 [44]

Given:
uniforms in a package of 8.
127 people with 3 uniforms each.

127 x 3 = 381 uniforms

381 ÷ 8 = 47.625 ⇒ 48 packages

The store will need to order 48 packages of uniforms to fulfill the uniform requirement of 127 people. There will also be 3 uniforms left in excess of the 48 packages.

48 * 8 = 384
384 - 381 = 3 excess uniform

7 0

3 years ago

Write a system of linear equations for the graph below

Goshia [24]

Answer:

$\left \{{{y=3-\frac{x}{3} }\atop { y=-2x-2}} \right.$

Step-by-step explanation:

$(-3,4),(0,3)\\y=3-\frac{x}{3} \\(-3,4),(0,-2)\\\\y=-2x-2$

7 0

3 years ago