4a.
An iron bar is heated. Its length, L, in millimetres can be modelled by a linear function, L=mT+c, where T is the temperature measured in degrees Celsius (°C).
At 150°C the length of the iron bar is 180 mm.
Write down an equation that shows this information.

4b.
At 210°C the length of the iron bar is 181.5 mm.
Write down an equation that shows this second piece of information.

4c.
At 210°C the length of the iron bar is 181.5 mm.
Hence, find the length of the iron bar at 40°C.

(really need most help on last one)

Answer:

1 yard = 3 feet

so...

22 yards = 3 (22)

3 x 22 = 66

conversion factor: 3/1

Step-by-step explanation:

Answer:

3 feet over 1 yard

Step-by-step explanation:

enjoy

Answer:

1/2

Step-by-step explanation:

First we divide 3 and 5, which gives us 0.6, then we use the LA Hypothalamus formula which is x2, so then we substitute the x with 0.6, 0.6 multiplied by 2 is 1.2, so then we transform it to a fraction, your welcome

Answer:

15/8

Step-by-step explanation:

Answer:

22 per hour

Step-by-step explanation:

8 divided by 176 lol Hope I did it right tho ;-;

Answer:

they can make 22 in one hour.

Answer:

2.54 x 6.3 = 16.00200

Step-by-step explanation:

hope this helped!

Answer:

i think the product (multiplication) of 2.54 and 6.3 is 16.002

Answer:

[tex]\displaystyle a=\frac{d}{.5*t^2}[/tex]

Step-by-step explanation:

Equation Solving

We are given the equation:

[tex]d=.5*a*t^2[/tex]

It's required to solve it for a.

Swap sides to have the letter on the left side:

[tex].5*a*t^2=d[/tex]

Divide by [tex].5*t^2[/tex]:

[tex]\mathbf{\displaystyle a=\frac{d}{.5*t^2}}[/tex]

Answer:

4

Step-by-step explanation:

-3 - (-4) - (-2) + 1

-3 + 4+ 2 +1

1 +2+1

2 + 2

4

The answer to the question provided is theorem.

Answer:

theorem

Step-by-step explanation:

Shown in picture (Edge 2021)

The probability that a student who is chosen randomly from the class who plays basketball or baseball is 11/24.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Given that In a certain algebra 2 class of 24 students, 9 of them play basketball and 13 of them play baseball. There are 2 students who play both sports.

2+5+4 =11

Expect the 13 people/students who didn't play,

Total people 24

P = 24-13=11

P = 11/24

The probability will be equal to 11/24.

To know more about probability follow

https://brainly.com/question/24756209

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Answer:

Easy man it 9999

Step-by-step explanation:

Answer: [tex]9.38\times10^{33}[/tex]

Step-by-step explanation:

Given: Molecules in a liter of water = [tex]3.35\cdot10^{25}[/tex]

A certain river discharges about [tex]2.8\cdot10^8[/tex] liter of water every second.

Molecules in river = [tex]3.35\cdot10^{25}\times2.8\cdot10^8[/tex]

[tex]=3.35\cdot2.8\cdot10^{25}\cdot10^8\\\\= 9.38\times10^{25+8}\ \ \ \ [a^m\cdot a^n=a^{m+n}]\\\\= 9.38\times10^{33}[/tex]

Hence, there are [tex]9.38\times10^{33}[/tex] does the molecules in river per second.

Answer:

.

Step-by-step explanation:

Answer:

11x^2 - 16x +4

Step-by-step explanation:

In order to simplify, add like terms

(8x^2-7x+2)+(3x^2-9x-6)

8x^2 + 3x^2 = 11x^2

-7x + -9x = -16x

-6 + 2 = 4

now the equation is 11x^2 - 16x +4

Answer:

11680

Step-by-step explanation:

4.6% of 8000 is 368

368 x 10 = 3680

3680 + 8000= 11680

Answer:

14oz for $2.80

Step-by-step explanation:

Well to determine the unit prices you must divide the price by whatever the weight is. As so:

10oz:  2.5/10=0.25

14oz:  2.8/14=0.20

16oz:  4/16=0.25

18oz:  5.4/18=0.30

So your answer is 14oz for $2.80

Answer: I’m pretty sure ur answer would be 14 oz. :)

Step-by-step explanation: good luck !<3

Answer:

it should be -0.5

Step-by-step explanation:

Answer:

0.25

Step-by-step explanation:

The total number of marbles is 2 + 2 + 3+ 5 = 12

the number of green ones is 3

So the probability of green = 3/12 = 1/4 = 0.25

Answer:

Red

Step-by-step explanation:

Because it was most pick the first time

when u ask your question you need 2 answers to mark branilest because one of them is the brainlest there is a crown next to the someones answer (near the report button) to your question  and u just pick one in order to do this u have to make sure you have 2 answers not 1 ;D

i hope this answered your question :)

Answer:

The mean absolute deviation is 19.5

Step-by-step explanation:

Hope this helps!

Answer:

b=1

m=1/4

y=1/4x+1

Step-by-step explanation:

m is the slope, b is the y-intercept

Answer:

x = -14, 0

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

(x + 7)² - 49 = 0

Step 2: Solve for x

Step 3: Check

Plug in x values into original equation to verify they are a solution.

x = -14

Here we see that 0 does indeed equal 0.

∴ x = -14 is a solution of the equation

x = 0

Here we see that 0 does indeed equal 0.

∴ x = 0 is also a solution of the equation.

Answer:

Lesser x=-14 Greater x=0

Step-by-step explanation:

x+7)  

2

−49

(x+7)  

2

(x+7)  

2

​  

​  

=0

=49

=  

49

​  

​  

Hint #22 / 3

\begin{aligned} x+7&=\pm7 \\\\ x&=\pm7-7 \\ \phantom{(x + 7)^2 - 49}& \\ x=-14&\text{ or }x=0 \end{aligned}  

x+7

x

(x+7)  

2

−49

x=−14

​  

=±7

=±7−7

or x=0

​  

Answer:

the answer is 17 here is the step below

Step-by-step explanation:

Use the Law of Sines to find the distance. For a triangle with angles A, B, and C, and opposite sides a, b, and c, the Law of Sines states that sinAa=sinBb=sinCc.

In this case, the angle at point B, let it be α, needs to be found. The Law of Sines can be used to relate α, the two known sides, and the angle at point A.

The Law of Sines states that sinα739=sin95∘2517.

By simplifying, sinα=739sin95∘2517. Since α is acute, α=sin−1(739sin95∘2517)≈17.0∘.

The measure of the angle is 17 degrees if the A measures the angle of elevation to the airplane to be 95∘ and the distance between the two bases is 739 meters.

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We have a triangle shown in the picture

To find the measure of the angle ∠CBA

Applying sin law:

sin95/2517 = sin∠CBA/739

0.292 = sin∠CBA

∠CBA = sin⁻¹(0.292)

∠CBA = 17 degrees

Thus, the measure of the angle is 17 degrees if the A measures the angles of elevation to the airplane to be 95∘ and the distance between the two bases is 739 meters.

Learn more about the triangle here:

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Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

a. 6 * 50 + 6* 3  = 6* ( 50 + 3) = 6* 53

b. 10 * 53 -4*53  = (10 - 4)*53 = 6*53

c. 6 * 50 + 3  = 303

d. 6 * (50 + 3) = 6*53

Answer:

A, B, D = Yes

C = No

6 * 50 + 6* 3  = 6* ( 50 + 3) = 6* 53

10 * 53 -4*53  = (10 - 4)*53 = 6*53

6 * 50 + 3  = 303

6 * (50 + 3) = 6*53

Answer:

|-8|=8

|10|=10

Step-by-step explanation:

any negative number between the two slashes '||' equals to always a positive number

and a positive number between the two slashes '||' remains the same

Answer:

2

Step-by-step explanation:

the two sides are 3 and its equal to 8..its 2

Answer:

270

Step-by-step explanation:

✔️Area of the Patio = bh

b = 12 ft = 144 in.

h = 10 ft = 120 in.

Area of Patio = 144*120 = 17,280 in.²

✔️Area of Brick Paver = bh

b = 8 in

h = 8 in

Area of the Brick Paver = 8*8 = 64 in.²

The number of quaver needed to cover the Patio = area of Patio ÷ area of one brick quaver

= 17,280/64 = 270

Answer:

There are 220 choices

Step-by-step explanation:

Given

[tex]People = 12[/tex]

[tex]Selection =3[/tex] (President, Treasurer and Secretary)

Required

Determine number of selection (if no restriction)

This is calculated using the following combination formula:

[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]

Where

[tex]n = 12[/tex]

[tex]r= 3[/tex]

So, we have:

[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]

[tex]^{12}C_3 = \frac{12!}{(12 - 3)!3!}[/tex]

[tex]^{12}C_3 = \frac{12!}{9!3!}[/tex]

[tex]^{12}C_3 = \frac{12*11*10*9!}{9!3!}[/tex]

[tex]^{12}C_3 = \frac{12*11*10}{3!}[/tex]

[tex]^{12}C_3 = \frac{12*11*10}{3*2*1}[/tex]

[tex]^{12}C_3 = \frac{12*11*10}{6}[/tex]

[tex]^{12}C_3 = 2*11*10[/tex]

[tex]^{12}C_3 = 220\ ways[/tex]

There are 220 choices