i just passed my math test that i had no idea how to do :)

i just felt the need to share that for some reason

have a good day/night/afternoon ^^

Part (i)

I'll use H in place of T to represent the heat of the object. That way there isn't a clash of variables lowercase t vs uppercase T.

The equation we're working with is updated to:

H(t) = 22 + a*2^(bt)

Plugging in t = 0 as the initial time value should lead to the temperature being H = 86 degrees Celsius.

So,

H(t) = 22 + a*2^(bt)

86 = 22 + a*2^(b*0)

86 = 22 + a*2^0

86 = 22 + a*1

86 = 22 + a

a+22 = 86

a = 86-22

a = 64

=====================================================

Part (ii)

We'll use the value of 'a' we found earlier. Plus we'll use the fact that H = 28 when t = 0.5 (since 30 min = 30/60 = 0.5 hr).

H(t) = 22 + a*2^(bt)

28 = 22 + 64*2^(b*0.5)

28-22 = 64*2^(0.5b)

64*2^(0.5b) = 6

2^6*2^(0.5b) = 6

2^(6+0.5b) = 6

log(  2^(6+0.5b)   ) = log(6)

(6+0.5b)*log(2) = log(6)

6+0.5b = log(6)/log(2)

6+0.5b = 2.5849625

0.5b = 2.5849625-6

0.5b = -3.4150375

b = -3.4150375/(0.5)

b = -6.830075

Answer:

Discriminant review

Discriminant reviewThe discriminant is the part of the quadratic formula underneath the square root symbol: b²-4ac. The discriminant tells us whether there are two solutions, one solution, or no solutions.

Answer:

these are 5 points look clearly.XD

The percentage sales tax is 8%.

The part of the expression that represents the dollar amount of sales tax Azar must pay is 0.08 55(h).

Given,

The total cost after sales tax to fix Azar’s computer is represented by the expression:

- 0.08 (55h) + 55h

where h represents the number of hours it takes to fix Azar’s computer.

We need to find out what percentage of sales tax is Azar being charged.

and what part of the expression represents the dollar amount of sales tax Azar must pay.

It is mostly represented by a percentage.

We have,

100% = 100/100 = 1

50% = 50/100 = 1/2 = 0.5

25% = 25/100 = 1/4 = 0.25

20% = 20/100 = 1/5 = 0.2

We have,

- 0.08 (55h) + 55h

The sales tax is also charged according to the number of hours so,

In the expression 0.08 can be written as a percentage.

0.08 = 8 /100 = 8%

The percentage sales tax is 8%.

Now,

0.08 55(h) means the sales tax Azar must pay.

For 1 hour,

0.08 x 55 = 4.4 is the sales tax.

For 2 hours,

0.08 x (55x2) = 0.08 x 110 = 8.8.

And so on,

So,

The part of the expression that represents the dollar amount of sales tax Azar must pay is 0.08 55(h).

Thus,

The percentage sales tax is 8%.

The part of the expression that represents the dollar amount of sales tax Azar must pay is 0.08 55(h).

Learn more about how to write an expression here:

https://brainly.com/question/15202915

#SPJ2

Answer:

64 degrees

Step-by-step explanation:

since x is corresponding to 64, they are congruent.

Answer:

x = 64

Step-by-step explanation:

x and 64° are corresponding angles and are congruent , then

x = 64

100%=(435.60÷88)x100

which is 495.

Answer:

Step-by-step explanation:

435,60:12%

Answer:

68

Step-by-step explanation:

the reason it is 68 is because its a reflection on the other side which that line is there also represents the other side so it is 68.

Using linear function concepts, it is found that the correct option is:

The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

In this problem:

The equation is:

[tex]y = 121 + 1.42x[/tex]

Thus, the correct option is:

The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.

A similar problem is given at https://brainly.com/question/16302622

Answer:

m2=16

Step-by-step explanation:

68/2=34

34-18 m1 is more than 18

=16

Answer:

A

Step-by-step explanation:

Hope it helps!

Answer:

B

Step-by-step explanation:

corresponding sides of similar triangles are same ratio

[tex]\dfrac{JK}{UT}=\dfrac{KL}{TS}\\\\\dfrac{x}{20}=\dfrac{8}{16}\\\\x=\dfrac{8}{16}*20\\\\x=10[/tex]

Answer:

graph{x + 2 [-10, 10, -5, 5]}

Step-by-step explanation:

Answer:

x < -32

Step-by-step explanation:

Answer:

8 3/10 cm

Step-by-step explanation:

Add Emile's 7th and 8th grade growth amounts together:

3 9/10 cm

4 4/10 cm           (This is equivalent to 4 2/5 cm.)

-----------------

 7 13/10 cm, or

 8 3/10 cm

Answer:

2

Step-by-step explanation:

given the difference of twice a number and one is three to find "number" let the number be x

2x - 1 =3

2x = 4

x= 2

thus the number is 2

Answer:

I dont know The answer sorry

Step-by-step explanation:

Answer: 2

Step-by-step explanation: The average rate of change is calculated as the slope of the line between the two points on the graph. Since at x = 1, y = -3, and at x = 3, y = 1, these are the two points which we calculate the slope from. Using the formula

m = (y2 - y1)/(x2 - x1)

m = (1 - (-3))/(3 - 1)

m = 4/2

m = 2

Answer:

C is the correct answer cos it is paid by the customer

Answer:

y=x-2+√3

Step-by-step explanation:

I'm not sure keep it up

Answer:

The value of p is not measure through brain but through the fire

Answer: there are 2 whole in 7/3

Step-by-step explanation: 7 divided by 3 is 2r1. 7/3 = 2 1/3

Answer:

Starting at 0 move twice to the left___5___ spaces. 2 • (–5) = ___-10___. The answer is the opposite of that value, ___10___ .

Step-by-step explanation:

The required blank space is filled by the numbers, 5, -10, and 10.

Given that,
Starting at 0 move twice to the left______ spaces. 2 • (–5) = ______. The answer is the opposite of that value, ______ . To determine the solutions for the blank spaces.

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

here,
The number line 2(-5), shows that move twice to the left 5 spaces.
And This results in -10 spaces having to move, and the outcome is the opposite of the number 10.

Thus, A complete solution is "Starting at 0 move twice to the left 5 spaces. 2 • (–5) = -10. The answer is the opposite of that value, 10.

Learn more about number line here:

brainly.com/question/17683084

#SPJ5

Answer:

Step-by-step explanation:

Numbers in sequence are:

The difference between end points:

Common difference of 5 terms:

The missing numbers are:

Answer:

[tex] ➜- 8 - x + x = x - 4x + x[/tex]

[tex] ➜- 8 = - 2x[/tex]

[tex] ➜- \frac{8}{ - 2} = \frac{ - 2x}{2} [/tex]

[tex]➜x=4[/tex]

Just subtract the original number from the new number, then you get the volume of the object that was put in the liquid!

new - original = volume of object

Answer:

6

Step-by-step explanation:

1. The Formula for volume of a Square is V=πr2h

2. So u would plug everything in.. so v- π4²12

3. so then u get 6

Answer:

about 315

Step-by-step explanation:

2,250×0.14

hope this helps!

formula for interest=principle×rate×time/100

60=x×4×4/100

60=16x/100

16x=6000

x=375

Answer:

C. $375

Step-by-step explanation:

60% of the people from the survey are completely satisfied

Answer:

Step-by-step explanation:

If x=9, then x^2=81, because 9*9=81. -x^2=81, because -9*-9=81, and (-x)^2=81, because -9*-9=81.

If x=6, then x^2=36, because 6*6=36. -x^2=36, because -6*-6=36, and (-x)^2=36, because -6*-6=36.

Answer:

Keep in mind that x has a coefficient of 1.

x² = 9² = 81

-x² = - 1 · 9² = -1 · 81 = -81

(-x)² = (-9)² = 81

x² = -6² = -36

-x² = - 1 · -6² = -1 · 36 = -36

(-x)² = (-1 · -6)² = 36    

Answer:

[tex](a^{2}+b^{2})^{1/3}[/tex]

Step-by-step explanation:

(a² + b²)^1/3

Any number to the power 1/2 means to square root the number

Any number to the power 1/3 means to cube root the number etc.