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Answer:

T(3) = -23°C

Step-by-step explanation:

Constant Rate of Change

Given an initial condition of a variable T, To and a constant rate of change m, it's possible to write a model to predict the value of T in time t:

[tex]T(t)=T_o+mt[/tex]

The initial temperature the scientist measures of a chemical solution is To=-14.06°C.

It's known the temperature decreases at a constant rate of -2.9°C each hour, thus the model is:

[tex]T(t)=-14.06-2.9t[/tex]

Evaluating at t=3 hours:

[tex]T(3)=-14.06-2.9\cdot 3[/tex]

[tex]T(3)=-14.06-8.7[/tex]

T(3) = -22.76°C

Rounding to the nearest whole degree:

T(3) = -23°C

Answer: Organisms go through mitosis that allows new identical cells to be made.

explanation:

mitosis also occures when cells are worn out or are injured and the mitosis will replace the injured cells

Answer:

[tex]m=\frac{-1}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, -4)

Point (-8, 0)

Step 2: Find slope m

Answer:

I and III only

Step-by-step explanation:

Answer:

2 and 5

Step-by-step explanation:

Make sure you use the vertical line to determine what is a function

Answer:

light blue

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

words per minutes= 1800÷25=72

Answer: 10000

A.) 4170m above sea level ;3330m below sea level

B) 1670 m from the base.

Step-by-step explanation:.

Given that:

Mauna Loa :

4,170 meters (from sea level to summit)

-5000 meters (base of mountain to sea level)

Depth of probe dropped from summit of Mauna Loa = 7500 m

Height of probe relative to sea level :

Depth of probe - height of Mauna Loa(from sea level to summit)

7500 m - 4170 m = 3330 m

Hence, height of probe relative to sea level :

4170m above sea level

3330m below sea level

Distance of probe from base of volcano:

Total depth of Mauna Loa = (4170 + 5000) = 9170m

Total depth of probe = 7500 m

Distance of probe from base :

9170 - 7500 = 1670 m

The probe is 1670 m from the base of the volcano.

Answer: 4x-6

Step-by-step explanation: Combine like terms. 4x*x is 4x and -2*-3 is -6. That is how you find the answer.

Answer:

4x²-14x+6

Step-by-step explanation:

(4x · x - 4x ·3 - 2·x + 6) = 4x²-14x+6

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Straight lines.

Since there are more than one lines that can land plane safely, we take one of it,

When, X = 10 and Y = 7, so the equation we get as,

y-7 = m(x-10) + c

lets find slope, that is value of m,

y2-y1/x2-x1 = m

so, 9-7/ 7-10 = 2/-3

so, m= -2/3

so the final Equation is,

=> y-7 =(-2/3)(x-10) +c

Answer: 92 or 119

in 4 months, 2 months with 30 days per month,  2 months with 31 days per month

suppose: the number to find is X

have: 90 < X < 30.2 + 31. 2 ⇔ 90 < X < 122

if X is a number has 2 digits => X is xy

=> [tex]\left \{ {{x+y=11} \atop {90<x\leq 100}} \right.[/tex]

=> xy = 92

if X is a number has 3 digits => X is abc

we have: [tex]\left \{ {{a+b+c=11} \atop {100\leq abc<122}} \right.[/tex]

because 100 ≤ abc < 122 => a = 1; b = 0 or 1

+) if a =1 ,b = 0 but a+ b +c = 11 => c = 10 (removed because c is a 1-digit number)

+) if a = 1, b = 1 => c = 9

=> abc = 119

=> X is 92 or 119

Step-by-step explanation:

Answer:

C. -2

Step-by-step explanation:

hope that helps! :)

Answer:

i belive the answer is 740,000 mg

Answer:

im gay tho :)

Step-by-step explanation:

Answer:

atheists reading this :0

Step-by-step explanation:

this was a joke plz dont bully me

Answer:

Step-by-step explanation:

Circumference of the wheel is equal to one full rotation

Answer:

1 rotation: 65.312 inches

5 rotations: 326.56 inches

30 rotations: 1959.36 inches

Circumference = π and diameter

3.14 x 20.8 = 65.312 inches

5C = 5 x 65.312 = 326.56 inches

30C = 30 x 65.312 = 1959.36 inches

Given:

Total number of home runs = 583

Home runs hit by LA Dogerse = 6% of the total home runs

To find:

The number of home runs hit by LA Dogers.

Solution:

We have,

Home runs hit by LA Dogerse = 6% of the total home runs

                               [tex]=\dfrac{6}{100}\times 583[/tex]

                               [tex]=\dfrac{3498}{100}[/tex]

                               [tex]=34.98[/tex]

                               [tex]\approx 35[/tex]

Therefore, LA Dogerse hits about 35 home runs.                            

Answer:

B. Her model cannot be improved.

Step-by-step explanation:

We make this conclusion because it seems Isabella's model isn't actually proffering any solution to increase/reduce the number of strikes she has had.

Hence, any changes made do not clearly seem to improve the present model she is using.

Answer:

The correct answer is D!

Step-by-step explanation:

Answer:

An explicit rule for the nth term of the sequence will be:

[tex]a_n=-4\cdot \:2^{n-1}[/tex]      

Thus, option (A) is true.

Step-by-step explanation:

Given the sequence

[tex]-4, -8, -16, -32, ...[/tex]

A geometric sequence has a constant ratio r and is defined by

[tex]a_n=a_0\cdot r^{n-1}[/tex]

Computing the ratios of all the adjacent terms

[tex]\frac{-8}{-4}=2,\:\quad \frac{-16}{-8}=2,\:\quad \frac{-32}{-16}=2[/tex]

As the ratio 'r' is the same.

so

[tex]r=2[/tex]

as

[tex]a_1=-4[/tex]

Hence, the nth term of the sequence will be:

[tex]a_n=a_0\cdot r^{n-1}[/tex]

substituting the values [tex]r=2[/tex] and [tex]a_1=-4[/tex]

[tex]a_n=-4\cdot \:2^{n-1}[/tex]      

Therefore, an explicit rule for the nth term of the sequence will be:

[tex]a_n=-4\cdot \:2^{n-1}[/tex]      

Thus, option (A) is true.

Answer:

5x^3 + 5x+ 2x^2 + 2

Step-by-step explanation:

(5x+2)(x^2+1)

5x^3 + 5x+ 2x^2 + 2

Answer:

5

Step-by-step explanation:

2(4+1)-5

2(5)-5

10-5

5

Answer:

2/5 hours

Step-by-step explanation:

We can write a proportion to solve

1/10 hour          x hours

----------------   = -------------------

1/2 package        2 packages

Using cross products

1/10 * 2 = 1/2 x

1/5 = 1/2x

Multiply each side by 2

1/5 * 2 = 1/2x *2

2/5  =x

2/5 hours

Answer:

A. The situation is discrete B. i. { x : 0 ≤ x ≤ 6; x ∈ Z} ii. { C = 5x : 0 ≤ C ≤ 30; C ∈ Z}

Step-by-step explanation:

A. The situation is discrete since we have integral values for the amount paid per mile walked. The amount per mile is $5 and is only paid if a complete mile is walked. So, it is a discrete situation.

B. i. Since 0 miles represents 0 distance and the student walks a maximum of 6 miles, let x represent the distance walked. So the domain is 0 ≤ x ≤ 6 where x ∈ Z where Z represent integers.

{ x : 0 ≤ x ≤ 6; x ∈ Z}

ii. Since at 0 miles the amount earned is 0 miles × $5 per mile = $ 0 and at the maximum distance of 6 miles, the amount earned is 6 miles × $5 per mile = $ 30, let C represent the amount donated in dollars. So the range is 0 ≤ C ≤ $ 30 where C = 5x.

{ C = 5x : 0 ≤ C ≤ 30; C ∈ Z}

Answer:

The mean proportional of 6, and 24 will be 12

Step-by-step explanation:

We know that the Mean proportional of two

numbers, x, and y :  [tex]\sqrt{xy}[/tex]

Therefore, the mean proportional of 6, and 24

[tex]=\sqrt{6\times 24}[/tex]

[tex]=\sqrt{144}[/tex]

[tex]\mathrm{Factor\:the\:number:\:}\:144=12^2[/tex]

[tex]=\sqrt{12^2}[/tex]

[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a[/tex]

[tex]\sqrt{12^2}=12[/tex]

[tex]=12[/tex]

Therefore, the mean proportional of 6, and 24 will be 12.

Answer:

its D jus got it right!!!

Step-by-step explanation:

D. {(-1,-3), (-2,-5), (-4,-8)}

Answer: 4.75

with u = 10, a = -2, t = 1/2

=> [tex]s=10.\frac{1}{2}+\frac{1}{2}. \frac{(-2).1}{4}=5-\frac{1}{4}=\frac{19}{4}=4.75[/tex]

Step-by-step explanation:

Answer:

identity

Step-by-step explanation:

it states that any number times 1 is equal to itself. so when u have 14y, you can multiply it by 1 and it will remain the same.

Answer:

identity

Step-by-step explanation:

the answer is 126 hope it helps

Answer:

Please check the explanation.

Step-by-step explanation:

As the given graph includes distance 'd' at the y-axis and time 't' at the x-axis.

so from the distance-time graph, it is clear that the graph includes 5 chunks.

The first chunk of the graph indicates that the object has started traveling. And the distance 'd' is being covered in time 't', as the slope is upward, hence the speed of the object is increasing.

The second chunk of the graph indicates the no distance is being covered. It means the object is at rest.

The third chunk of the graph indicates that the distance 'd' is being covered in time 't', as the slope is again upward, hence the speed of the object is increasing and the object has started traveling.

The fourth chunk of the graph indicates that the slope is downward, and the object has started traveling to get back to the destination, and eventually, the object has reached the starting point.

Answer:

The slope is -3/2

Step-by-step explanation:

Hope this helped have a good day!