Write an equation for the table.
Pls help!

Answer:

Given: [tex]1\frac{1}{3} :2\frac{1}{3}[/tex]

To simplify this ratio, convert the mixed fractions into improper fractions:

[tex]\frac{4}{3}[/tex] : [tex]\frac{7}{3}[/tex]

Then to divide ( because ratio = division ) turn around [tex]\frac{7}{3}[/tex] and multiply:

[tex]\frac{4}{3} * \frac{3}{7}[/tex]

Then multiply:

[tex]\frac{12}{21}[/tex]

Finally simplify this fraction by dividing the denominator & numerator by 3:

= [tex]\frac{4}{7}[/tex]

...

Using the given ratios found the values of A, B and C, and completed the table as follows:

Black   9   18       45     72

White  13   26     65    104

What is meant by the ratio?

A ratio in mathematics demonstrates how many times one number is present in another. A ratio is what a fraction looks like when it is written as a:b. A ratio is the comparative or condensed version of two quantities of the same type.

Given the table:

Black   A   18   45   72

White  13   B    65    C

The table represents the ratios of black keys to white keys on pianos of various sizes.

The ratio of keys of the piano always remains constant.

So we can write as follows:

A/13 = 18/B = 45/65 = 72/C

To find A, we take the following ratios.

A/13 = 45/65

On solving, we get

A = 45 * 13 / 65 = 585/65 = 9

To find B, we take the following ratios.

18/B = 45/65

B = 18 * 65 / 45 = 1170/45 = 26

To find C,  we take the following ratios.

72/C = 45/65

C = 72 * 65 / 45 = 104

Therefore using the given ratios we can complete the table using the values of A, B and C,

Black   9   18       45     72

White  13   26     65    104

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In statistics, p represents the true proportion p hat represents the sample proportion

p represents population that has a certain characteristic or falls into a certain category. It is a fixed, unknown value that we are trying to estimate.

p hat represents the sample proportion, which is an estimate of the true proportion based on a sample of the population. It is calculated by dividing the number of individuals in the sample with the characteristic or in the category by the total sample size.

For example, if we want to estimate the proportion of students who prefer chocolate ice cream, we could take a sample of 100 students and find that 60 of them prefer chocolate.

In this case, p hat would be 60/100 or 0.6. This is our estimate of the true proportion, p, of all students who prefer chocolate ice cream.

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The volume of the paperweight is 79.3 cm³.

A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a specific height from the center.

Examples of cylinders are toilet paper rolls and cold beverage cans.

The volume of a cylinder is πr²h.

Curved surface area = 2πrh.

Total surface area = 2πr(h + r).

From the given information, The area of the star-shaped cutout is,

A square has a side length of 2 cm, and four equilateral triangles have a side and a height of 2 cm.

So, The area of the star-shaped cutout is,

= (2×2) + 4×(1/2)×2×2.

= 4 + 8.

= 12 cm.

Now, The volume of the star-shaped cut-out is,

= 12×height,

= 12×3.

= 36 cm³.

And the volume of the cylinder is,

= π(1 + 2 + 0.5)²×3.

= π(3.5)²×3.

= 115.4 cm³

Therefore, The volume of the paperweight is,

= 115.4 - 36 cm³.

= 79.3 cm³.

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Answer: The student correctly wrote an expression to find the total cost of downloading "s" songs. The expression is: 0.99s + 7.99. However, they made a mistake when they simplified the expression to 8.98s. The expression should have remained as 0.99s + 7.99, because the $7.99 membership fee does not change regardless of how many songs are downloaded.

In Part B, the student correctly used the expression to find the cost of downloading 12 songs. They multiplied 8.98 by 12 and got the correct answer of 107.76.

Step-by-step explanation:

Answer:

I spent 13.32 at the store the other day...?

Step-by-step explanation:

What is the question.

The width of the river is calculated by the tangent of the angle will be 293 feet.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Observing a river below from the top of a 450-foot cliff, a hiker. Her depression lies at an angle of 80° to the near bank and 50° to the far bank of the river.

The horizontal distance when the angle is 80° is given as,

tan 80° = 450 / x₁

x₁ = 84.64 feet

The horizontal distance when the angle is 50° is given as,

tan 50° = 450 / x₂

x₂ = 377.59 feet

The width of the river is given as,

W = x₂ - x₁

W = 377.59 - 84.64

W = 292.95

W ≈ 293 feet

The width of the river is calculated by the tangent of the angle will be 293 feet.

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The equivalent simplified expression is 1.02n.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

Given that, Arturo earns n dollars per hour. Next month he will receive a 2% raise in pay per hour.

The expression n +0.02n is one way to represent Arturo's pay per hour after the raise.

Here, the equivalent expression is n +0.02n= 1.02n

Therefore, the equivalent simplified expression is 1.02n.

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To calculate the percent change in renewable energy investment in the US from 2005 to 2018, you can use the following formula:

Percent change = ((Final value - Initial value) / Initial value) * 100%

In this case, the initial value is $11.4 billion in 2005 and the final value is $46.5 billion in 2018. Plugging these values into the formula, we get:

Percent change = (($46.5 billion - $11.4 billion) / $11.4 billion) * 100%

= ($35.1 billion / $11.4 billion) * 100%

= 3.085 * 100%

= 308.5%

So, the percent change in renewable energy investment in the US from 2005 to 2018 was 308.5%, a substantial increase over the 13-year period.

The value of x is 97.

The angles that are in the same position on a given two parallel lines intersected by a transversal line are called the corresponding angles.

Corresponding angles are always equal.

We can also have alternate angles which are always equal.

We can also have alternate interior and exterior angles which are equal.

The angles on the same side make upto 180 degrees

We have,

From the figure,

(x - 5) and (x - 9) forms a straight angle.

This means,

x - 5 + x - 9 = 180

Solve for x.

2x - 14 = 180

2x = 180 + 14

2x = 194

x = 97

Thus,

The value of x is 97.

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x = 5

z = 118°

Step-by-step explanation:

opposite angles are equal

(6x + 32)° = 62°

6x = 62° - 32°

6x = 30°

x = 5°

angles on a straight line add up to 180

180° = 62° + z

z = 180° - 62°

z = 118°

The degree of the expression 7c³d² is 2

From the question, we have the following parameters that can be used in our computation:

Expression = 7c³d²

The degree of an expression is the highest power in the expression

In this case,

7c³ =  Constant

d² = Variable

The highest power of the variable is 2

Hence, the degree is 2

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Answer:

C i think

Step-by-step explanation:

Answer:

Angle 4 = 140

Angle 3= 40

Angle 5=140

angle 6=40

angle 7=40

Step-by-step explanation:

Adjacent angles are congruent. Thats how I can tell angle 4 is 140. And also how i can tell angle 3 is 40. Any questions?

im not explaining the rest im too tired

btw I also do 8th math lol it stinks.

The package that will have enough wrapping paper to cover is package B

Package A has a surface area of 70. 65 in²

Package B has a surface area of 62. 8 in²

The formula for the surface area of a cylinder is expressed as;

SA = 2πrh + 2π

Given that the parameters are;

For Package A, substitute the values

= 2 × 3.14 × 1.5 × 6 + 2 × 3.14 × (1.5)²

Multiply the values, we have;

= 70. 65 in²

For package B, substitute the values, we get;

= 2 × 3.14 × 2 × 3 + 2× 3.14 × (2)²

Multiply the values

= 62. 8 in²

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Answer: 2x^3 + 5x^2 - 10x + 15

Step-by-step explanation:

To multiply two polynomials, you can use the distributive property and multiply each term of one polynomial by each term of the other. In this case, the two polynomials are (2x - 3) and (x^2 + 4x - 5), so we have:

(2x - 3) * (x^2 + 4x - 5) =

2x * x^2 + 2x * 4x - 2x * 5 +(-3) * x^2 + (-3) * 4x - (-3) * 5

Expanding the products, we get:

2x^3 + 8x^2 - 10x - 3x^2 - 12x + 15

Combining like terms, we get: 2x^3 + 5x^2 - 10x + 15

Answer:A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

Step-by-step explanation:

A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object. If the scale factor is a whole number, the copy will be larger. If the scale factor is a fraction, the copy will be smaller.

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The substitution, transforms the Bernoulli equation dy/dx + P(x)y = Q(x)y^n into the linear equation dv/dx+(1-n)P(x)v(x) = (1 - n)Q(x). It is done as:

The equation is in the form  

dy/dx +P(x)y=Q(x)yⁿ,  where P and Q are functions of x or constants, this is called Bernoulli's equation.

Now, we have to substitution using 

[tex]v = {y}^{1 - n} [/tex]

Differentiating both side with respect to 'x'

[tex]v' = (1 - n) {y}^{ - n} y' \\ \frac{dx}{dy} = \frac{1}{1 - n} {y}^{n} v'[/tex]

we get,

[tex]= \frac{1}{1 - n} {y}^{n} v' + p(x)y \\ = q(x) {y}^{n} \\ = v' + (1 - n)p(x) {y}^{1 - n} \\ = (1 - n)q(x)[/tex]

Now, by using 

[tex]v' = {y}^{1 - n} [/tex]

The given equation is expressed as:

[tex]v + (1 - n)p(x)v = (1 - n)q(x)[/tex]

or dv/dx + (1-n)P(x)v(x) = (1 - n)Q(x)

The Bernoulli equation simply states that total energy per unit mass of flowing fluid, at any point in the subsurface, is the sum of the kinetic, potential, and fluid-pressure energies and is equal to a fixed value. The Bernoulli Equation can be viewed as a statement of the conservation of energy principle applicable to flowing fluids.

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The correct option is Option D) The consistency with which several individuals can complete the questionnaire without making an error is one technique to determine a questionnaire validity.

A questionnaire is a sort of research tool used to collect data from respondents for a survey or statistical analysis. It consists of a collection of questions (or other forms of prompts). Typically, a research questionnaire will have both closed-ended and open-ended questions. Long-term, open-ended inquiries provide the respondent the chance to go into more detail. The Statistical Society of London created the research questionnaire in 1838. Despite the fact that surveys are frequently created so that the answers may be statistically analyzed. Consequently, it may not be practical to conduct a survey using a questionnaire for some demographic groups.

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Answer: 946 ml

Step-by-step explanation: 1 pint= 473.2

2*

473.2= 946.4

=946 ml

Answer:

[tex]\frac{2}{30}[/tex]

Step-by-step explanation:

[tex]\frac{4}{6}-\frac{3}{5} \\ \\ =\frac{2}{3}-\frac{3}{5} \\ \\ =\frac{10}{15}-\frac{9}{15} \\ \\ =\frac{1}{15} \\ \\ =\frac{2}{30}[/tex]

It would be 1/15 but thats not an option, if you need help try math  way doht  com, thats the best thing u can use for math problems

Answer:

Step-by-step explanation:

Multiply the numerator and denominator by the conjugate.

Exact Form:

3√2+2

    7

Decimal Form:

0.89180581

…

The earnings in the simple interest and compound interest for a 5 year period is in the table below where S is for Suzanne and D is for Derrick

            S - annual interest  S - Balance   D - annual interest   D - Balance

Year 1                 147                   3147                      147                    3147

Year 2                294                  3294                     301.2                 3301.2

Year 3                441                   3441                      462.96              3462.96

Year 4                588                  3588                     632.65              3632.65

Year 5                735                   3735                     810.65               3810.65

Simple interest is calculated by the formula

principal x time x rate / 100

In the problem

Principal = $3000

rate = 4.9%

time is varying from 1 to 5

For the first year we have

= 3000 * 1 * 4.9 / 100

= 147

Compound interest the formula is

Principal(1 + rate)^(year) - 1)

For the first year, (the rate is already divided by 100 to get 0.049) we have

= 3000(1 + 0.049)^(1) - 1)

= 147

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Answer:

a: 30%

b: 5%

Step-by-step explanation:

a: (42,000/140,000)*100

b: (7,000/140,000)*100

Answer:     \left(h,\:k\right)=\left(\frac{1}{3},\:\frac{14}{3}\right),\:p=\frac{1}{12\

Step-by-step explanation:

The required measures of length are, as follows:

GF = 11, GE = 28, DF = 28, HF = 14, and DG = 25.75.

A rectangle is defined as a four-sided shape with opposite sides that are equal in length and parallel to each other.

The lengths are given in the question, as follows:

DE = 11

GH = 14

Since DE and GF are opposite sides then both are equal.

So GF = 11

Here GH and HF are equal,

HF = 14

∵ GE = GH + HE = 14 + 14 = 28

As we know that the two lengths of the diagonals are equal in the rectangle.

So GE = DF

So DF = 28

Using the Pythagorean theorem, we have

DG² + GF² = DF²

DG² + 11² = 28²

DG² + 121 = 784

DG² = 663

DG = 25.75

Thus, the measures are, as follows:

GF = 11, GE = 28, DF = 28, HF = 14, and DG = 25.75.

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Answer: The price after 3 years is £6904.15

Step-by-step explanation:

After 1 year,  8500*0.9= 7650

7650*0.95=7267.5

7267.5*0.95=6904.125

The price after 3 years is £6904.15

The value of c lies in the interval [tex](-\infty, -1.5)[/tex]

Inequality is a statement that shows the relationships the two expressions are not equal. It is defined by the symbols like <, >, ≤, ≥.

[tex]\frac{c}{2} < -0.75[/tex]

To find the value of c:

[tex]\frac{c}{2} < -0.75[/tex]

Multiply both sides by 2 we get,

[tex]2\frac{c}{2} < (-0.75)*2[/tex]

⇒c < -1.5

Therefore c<-1.5 is the solution for the given inequality.

It can also be represented in the interval form.

This is given in the interval notation [tex](-\infty, -1.5)[/tex]

Hence, the value of c lies in the interval [tex](-\infty, -1.5)[/tex]

Complete question:

What is the values that c can take when  [tex]\frac{c}{2} < (-0.75)[/tex]?

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Answer: I disagree with Penny's statement. The probability of her selecting a green pair of swim goggles and then a green sand bucket is the product of their individual probabilities. The fact that she selected a green pair of swim goggles does not change the probability of selecting a green sand bucket. Each selection is independent of the other, and the probabilities of each event remain the same. So, Penny's statement that "because she selected a green pair of swim goggles, she was more likely to select a green sand bucket" is not valid.

Step-by-step explanation: