On Friday, Tyler came up with the expression t= -0.5(1-2h) to represent the temperature change. His math teacher came up with the expression t= 4(2h+2) - 7h - 8.5 for the same day. Are these expressions equivalent or not?

Answer:

Volume of smallest container = 3141.6 cm³

Volume of middle sized container = 6283.2 cm³

Volume of largest container = 9424.8 cm³

Step-by-step explanation:

The formula to find the volume of a cylinder = πr²h

The height of each cylinder in a set of food-storage containers is 30 cm.

The radius of the largest container is 10 cm.

Step 1

We can find the volume of the largest cylinder

= r = 10cm

h = 30cm

Volume of largest cylinder = π × 10² × 30

= 9424.8 cm³

Step 2

We find the volume of the smallest container

We are told in the question:

The volume of the smallest container is one-third the volume of the largest container.

Hence

Volume of Smallest container = 1/3 (9424.8 cm³)

= 3141.6 cm³

Step 3

The volume of the middle-sized container is two-thirds the volume of the largest container.

Hence,

Volume of the middle sized container =

2/3 (9424.8 cm³)

= 6283.2 cm³

Therefore, the volume of each container is

Volume of smallest container = 3141.6 cm³

Volume of middle sized container = 6283.2 cm³

Volume of largest container = 9424.8 cm³

Answer:

we have :

(a+b+c)² = a² + b² + c² + 2(ab+bc+ca)

a+b+c= 9

and

ab+bc+ca = 26

Substituting the values in the above formula,

We get,

9² = a² + b² + c² + 2×26

81 = (a² +b² +c²) + 52

(a² +b²+c²) = 81-52

(a²+ b² + c²) = 29 is a required answer.

Answer:

Step-by-step explanation:

Option C is the correct answer

Answer:

Step-by-step explanation:

[tex]~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] ~\dotfill\\\\ (-243)^{\frac{1}{5}}\implies \sqrt[5]{(-243)^1}\implies \sqrt[5]{(-3)(-3)(-3)(-3)(-3)} \\\\\\ \sqrt[5]{(-3)^5}\implies -3[/tex]

Answer:

There are always two possible outcomes H (heads) and T (tails) but the possible combination outcomes are HH, TT, HT, and TH

Step-by-step explanation:

It is just my common sense~

There is 8 possible outcomes.

Answer: chiki

Step-by-step explanation:

Answer:

The answers is called the x-axis and the vertical number line is called the y-axis

Step-by-step explanation:

Hope this helps

Answer:

x-axis

Step-by-step explanation:

Answer:

The probability that both are smokers is 0.02

Step-by-step explanation:

Prob. of male smoker [tex]P(ms)= \frac{118}{590} = 0.2[/tex]

Prob. of female smoker [tex]P(fs) = \frac{50}{500} = 0.1[/tex]

Prob. that both ar smokers [tex]P(bs)=P(ms) * P(fm) =0.2 * 0.1 = 0.02[/tex]

Answer:

the answer would be 19 because these are congruent shapes

Hope this helps:)

Step-by-step explanation:

Answer:

x = -7

Step-by-step explanation:

3x + 13 = -2x - 22

subtract 13 from both sides

3x = -2x - 35

Add 2x to both sides

5x = -35

Divide each side by 5

x = -7

Answer:

6

Step-by-step explanation:

5 × 24= 120 and 24 - 4 = 20 and 120 ÷ 20 = 6

I hope this helps!!

The coeficient of y² in the expression is the number 3

What is an algebraic expression?

An algebraic expression is a set of numbers and letters that make up an expression that has a meaning, the letters are variables and the numbers are coefficients or independent terms, algebraic expressions can be part of an equation and model mathematical processes.

In the given expression we have the following:

3y² + 4x

As we are asked for the coefficient of the variable "y" then we must take the number that is just before the letter which in this case is the number 3.

3 is the coefficient of y²

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Answer:

3d^2

Step-by-step explanation:

First, find the GCF of 6 and 27, which is 3.

Factors of 6: 1, 2, 3, 6

Factors of 27: 1, 3, 9, 27

Then, find the greatest value of the variable d^3 and d^2, which is d^2. Since this is a variable, we just need to take out the highest degree accompanying the variable.

27(d^2)

6d(d^2)

Combine both of your findings to get 3d^2.

The coefficient of the expression 3x² is the number 3 and constant term is 20

What are the coefficients?

The coefficients are the numbers on the left side or before each variable.

What is an algebraic expression?

Is a set of numbers and letters that make up an expression that has a meaning, the letters are variables and the numbers are coefficients or independent terms, algebraic expressions can be part of an equation and model mathematical processes.

If the expression of a single term is:. 3x²

Then the only coefficient will be the number that is placed before it and it is:

Number 3

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Answer:

A. 45.7

Step-by-step explanation:

Side a = 8

Side b = 7.8

Side c = 11.17318

Angle ∠A = 45.725° = 45°43'31" = 0.79806 rad

Angle ∠B = 44.275° = 44°16'29" = 0.77274 rad

Angle ∠C = 90° = 1.5708 rad = π/2

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

Explanation:

Apply the tangent ratio and inverse tangent function (aka arctangent) to get the following

tan(angle) = opposite/adjacent

tan(x) = 8/7.8

x = arctan(8/7.8)

x = 45.7252242990592

x = 45.7

Be sure that your calculator is in degree mode.

Answer:

13.67

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Which ordered pair would form a proportional relationship with the point graphed below?

HOPE IT WILL HELP YOU

Answer:

Step-by-step explanation:

Answer:

C is the correct answer

From the graph we can see that at the given interval [-6,0] the graph decreases from left to right.

Initially the y-values is a little over 3 and then it decreases to about 0.5 at the end of the interval.

Thus, the graph of the function over the interval [-6,0] is decreasing.

Step-by-step explanation:

Use photo math in the AppStore

Answer: y=1/4x-6

Step-by-step explanation:

The slope formula is y=mx+b

M- represents the rise over run.

B- represents where the line crosses over the y-axis.

So once you input the numbers you get 1/4 for m and -6 for b.

Answer:

B is the right answer

Step-by-step explanation:

The sales team must sell 8 more computers than they sold last month to receive the bonus.

Last month the sales team of Electronic Mania sold 27 computers.

If they sold 30% more computer than they sold last month, they would get a bonus.

First we find the 30 percent if 27

27 × 30/100

= 8.1

Let m be the total number of computers sold.

So, the total number of computers sold would be,

m = 27 + 8.1

m = 35.1

m ≈ 35

Therefore, they need to sell 35 computers in total.

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Answer:     [tex]\frac{3}{8}[/tex]➗[tex]\frac{3}{4}[/tex]

Step-by-step explanation:  Are you looking to work out and calculate how to multiply 3/8 by 3/4? In this really simple guide, we'll teach you exactly what 3/8 times 3/4 is and walk you through the step-by-process of how to multiply two fractions together.

Solved equation is, x = 4/3 + 2y/3

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.

here we have,

Write equation

6x - 4y = 8

Then,

Solve for x

Add 4y to both sides: 6x = 8 + 4y

Divide both sides by 6: x = 8/6 + 4y/6

Simplify: x = 4/3 + 2y/3

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Answer:

Step-by-step explanation:

9 - 3 = 6

6/10 = 3/5

Answer:

6/10 and/or 3/5(this is the answer simplified

Step-by-step explanation:

Subtract: 9/10 - 3/10

= 9 - 3/10

= 6/10

= 2 · 3/ 2 · 5

= 3/5

It is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(10, 10) = 10. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 10 = 100. In the following intermediate step, cancel by a common factor of 2 gives 3/5. In other words - nine tenths minus three tenths is three fifths.

Answer:

9) C: x=4, y=2rt3

10) A: XY/YZ

11) A: XY/XZ

Step-by-step explanation:

9 - that is a 30, 60, 90 triangle so the ratios will be a, root3a, 2a

10 - tan = opposite / adjacent

11 - cos = adjacent/hypotenuse

Answer:

9. (c)

10. (a)

11. (a)

................

Answer:

x=9

Step-by-step explanation:

2x=x+9

Subtract x from both sides;

2x-x=x+9-x

Simplify;

x=9