Write three equivalent ratios to the given
ratios 4 to 8 and 5 to 10?

9514 1404 393

Answer:

  y -1 = 4(x +1)

Step-by-step explanation:

The point-slope form of the equation of a line with slope m through point (h, k) is ...

  y -k = m(x -h)

For m=4 and (h, k) =(-1, 1), the equation is ...

  y -1 = 4(x +1)

Answer:

1. 7 to the square root of 3

2. negative square root of 3

Step-by-step explanation:

1. simplify 0.7 x 10 square of 3

2. Calculate: you get 7 to the square root of 3

1. simplify -0.125 x 8 to the square root of 3

2. Calcaute: you get negative square root of 3

The factors of the expression 0.7√300 and -0.125√192 will be 7 x √3 and - 1 x √3, respectively.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expressions are given below.

0.7√300 and -0.125√192

Simplify the expressions, then we have

0.7√300 and -0.125√192

7√3 and - √3

Factorize the expression, then we have

7 x √3 and - 1 x √3

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The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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To calculate the efficiency of the module, divide the actual power output by the maximum possible power output. For a module with a power rating of 240 W and an area of 1.5 m², assuming a sunlight intensity of 1000 W/m², the efficiency is calculated to be 16%.

To calculate the efficiency of the module, you need to divide the actual power output by the maximum possible power output.

First, convert the module's power rating from watts to kilowatts by dividing it by 1000:
240 W / 1000 = 0.24 kW
Next, use the formula for efficiency:
Efficiency = (Actual Power Output / Maximum Power Output) x 100
Since the actual power output is the same as the power rating (240 W or 0.24 kW), and the maximum power output can be calculated using the module's area:
Maximum Power Output = Module Area x Sunlight Intensity
In this case, the module area is given as 1.5 m². We assume that the sunlight intensity is 1000 W/m².
Maximum Power Output = 1.5 m² x 1000 W/m² = 1500 W or 1.5 kW
Now, substitute the values into the efficiency formula:
Efficiency = (0.24 kW / 1.5 kW) x 100 = 16%
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Answer:

78

Step-by-step explanation:

250 - 172 = 78

Answer:

6

Step-by-step explanation:

I think

a) The data exhibits a cyclical pattern with fluctuations occurring over time. There is also an indication of a seasonal pattern, as the data appears to repeat itself every year.

b) The multiple linear regression model with dummy variables to account for seasonal effects is Y = 65.0 - 11.5×Qtr1 - 10.0×Qtr2 + 3.5×Qtr3

c) The quarterly forecasts for next year using the regression equation and the dummy variables for each quarter are

Year4 Qtr1 = 53.5

Year4 Qtr2 = 55.0

Year4 Qtr3 = 68.5

Year4 Qtr4 = 65.0

a) The time series plot shows a cyclical pattern in the data, with fluctuations occurring over time. There is an indication of a seasonal pattern, as the data appears to repeat itself every year.

b) We can use the following multiple linear regression model to account for seasonal effects

Y = b0 + b1Qtr1 + b2Qtr2 + b3*Qtr3

where Y is the dependent variable (the value of the time series), Qtr1, Qtr2, and Qtr3 are the dummy variables for quarters 1, 2, and 3, respectively, and b0, b1, b2, and b3 are the regression coefficients.

To estimate the coefficients, we can use a regression software or a spreadsheet program. The resulting equation is

Y = 65.0 - 11.5Qtr1 - 10.0Qtr2 + 3.5*Qtr3

c) To compute the quarterly forecasts for next year, we need to first determine the values of the dummy variables for each quarter of the next year. Assuming that the quarters are the same as in the current year, we have

Year4 Qtr1 = 1, Qtr2 = 0, Qtr3 = 0

Year4 Qtr2 = 0, Qtr2 = 1, Qtr3 = 0

Year4 Qtr3 = 0, Qtr2 = 0, Qtr3 = 1

Year4 Qtr4 = 0, Qtr2 = 0, Qtr3 = 0

Using the regression equation and plugging in the values for the dummy variables, we can compute the quarterly forecasts as follows

Year4 Qtr1 = 65.0 - 11.51 - 10.00 + 3.50 = 53.5

Year4 Qtr2 = 65.0 - 11.50 - 10.01 + 3.50 = 55.0

Year4 Qtr3 = 65.0 - 11.50 - 10.00 + 3.51 = 68.5

Year4 Qtr4 = 65.0 - 11.50 - 10.00 + 3.50 = 65.0

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A 75 inch player would score 20 points by using the graph of the question.

What is graph ?

In mathematics, a graph is a visual representation of a set of objects (called vertices or nodes) and the connections between them (called edges). Graphs are used to represent relationships between objects, and they can be used to model a wide range of phenomena, such as social networks, transportation systems, and electrical circuits.

In a graph, vertices are usually represented by points or circles, and edges are represented by lines or arrows connecting the vertices. The way the edges are drawn can convey information about the type of relationship between the vertices, such as the direction or strength of a connection.

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Complete question is: A 75 inch player would score 20 points by using the graph of the question.

Answer:

-4

Step-by-step explanation:

-6 - 2 = -4

Answer:

x = 30

Step-by-step explanation:

well the two agnles are congruent so they have to equal the same angle

x+ 90 = 4x

solve for x bye subtracting x from 90

90 = 3x slove by dividing 90 by 3 getting x alone

90/3 = x

Answer:

1/2 X 7 X 3 X 3 = 31.5

Step-by-step explanation:

Answer:

A is correct.  f(n) = -3n + 24

Step-by-step explanation:

We can see in the first two steps that two meals have been served, and six cups of pet food consumed.  In other words, six cups are consumed in two meals, therefore three cups are consumed in each meal.

If we look at the remaining numbers on the chart, we can see that this carries through.  This tells us that the correct answer must be either a or b, as "-3n" represents the consumption rate.  If it were (1/3)n, then only a third of a cup would be consumed per meal.

Finally, we can figure out which of those two equations is correct simply by plugging a value pair into them.  Starting with a:

f(1) = -3(1) + 24

= 24 - 3

= 21

correct.

To be certain, let's check with answer c:

f(1) = -3(1) + 64

= 64 - 3

= 61

incorrect.

So we can clearly say that the correct answer is "a".  You can plug the other values into it to test that too:

f(3) = -3(3) + 24

= 24 - 9

= 15

correct

So we definitely have the right answer.

Answer:

-1/3

Step-by-step explanation:

slope = rise/run = -1/3

Scores between 23 & 59 will give Paul a C for the semester (an average between 70 and 79).

The sum of the scores on the first three, hundred point tests

= 82 + 88 + 87 = 257.

The total score required in four 100-point tests to get an average score of 70 = 70X4= 280.

The total score required in four 100-point tests to get an average score of 79 = 79X4= 316.

Therefore, the score on the fourth test should be between (280-257) & (316-57) i.e, 23 & 59 to get an average score of 70 & 79.

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Answer: 4/13

Step-by-step explanation:

Number of cards in a deck = 52

Number of spades = 13

Number of aces = 4

Number of ace of spade = 1

Probability of either a spade or an ace :

P(spade or ace) = P(spade U ace)

P(spade U ace) = p(spade) + p(ace) - p(spade n ace)

Probability = required outcome / Total possible outcomes

P(spade) = 13 / 52

P(ace) = 4 / 52

P(spade n ace) = 1 / 52

P(spade U ace) = p(spade) + p(ace) - p(spade n ace)

= 13/52 + 4/52 - 1/52

= 16 / 52 = 4 /13

Answer:

I guess it is 9 cm²

Step-by-step explanation:

Hope it helps.....

Answer:

The probability that x is larger than 12 when df = 19 = 0.100

Step-by-step explanation:

We are supposed to find the probability value at x>12 at degree of freedom equals to 19.

P(x>12)

By looking at the chi square table we can see, at df = 19 and x>12, P(x>12) is equal to 0.100

because at df = 19, the least x values is 27.2036 for which (Px=27.2036) or (Px>12) = 0.100

Answer:

144

Step-by-step explanation:

Length of 1 side is 12 so area is 12*12

Answer:

Step-by-step explanation:

For all Plato users

Approximately 94437.825 tons of LNG will be produced in May, and approximately 104,489 tons will be produced in October month.

Given that, the production of LNG by an energy company increases by 1.7% each month.

Convert the problem to an equation using the percentage formula: P% * X = Y.

Production in April month=91,307+1.7% of 91,307

=91,307+1.7% ×91,307

=92,859.219 tons

Production in May month=92,859.219×(1+1.7%)

=94437.825 tons

Production in June month=94437.825×(1+1.7%)=96,043 tons

Production in July month=96,043×(1+1.7%)=97,676 tons

Production in August month=97,676×(1+1.7%)=99,336.49 tons

Production in September month=99,336.49×(1+1.7%)=1,01,025.21 tons

Production in October month=1,01,025.21×(1+1.7%)=1,04,489 tons

94437.825 tons of LNG will be produced in May, and 104,489 tons will be produced in October month.

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Answer:

D, C, B, A

Step-by-step explanation:

Given the prices below:

Store A: price $99.99 and discount of 15%

15% discount :

Discounted price : (1 - 0.15) * $99.99 = $84.99

Store B: price $95.99 and discount of 12%

12% discount :

Discounted price : (1 - 0.12) * $95.99 = $84.47

Store C: price $90.99 and discount of 10%

10% discount :

Discounted price : (1 - 0.10) * $90.99 = $81.89

Store D: price $89.99 and successive discounts of 5% and 5%

5% discount :

Discounted price : (1 - 0.05) * $89.99 = $85.4905

5% discount :

(1 - 0.05) * $85.4905 = $81.22

Cheapest = store D, then then C, then B, then A

D, C, B, A

Answer:

is D on Edge

Step-by-step explanation:

Answer:

12.

Step-by-step explanation:

36 = 3 * 12

48 = 4 * 12,

The truth value of the statement is false

Given that

The statement "even numbers are divisible by 2" is true

The above statement is a conditional statement and we can calculate the following properties for the statement

In this case, we are to calculate the negation of the statement

When the statement "even numbers are divisible by 2" is negated, we have

The statement "even numbers are not divisible by 2" is not true

In logic expressions,

not true means false

So, the truth value of the statement is false

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Answer:

A. x = 6 và y = 4

B. x = 25 và y = 15

Answer:

$32

Step-by-step explanation:

50/100 × $64

=$32.................

Answer: A property occurring in the example 11.5 + (-11.5) = 0, is additive inverse.

Step-by-step explanation:

A property where sum of any number and its inverse is equal to zero is called additive inverse property.

For example, 11.5 + (-11.5) = 0

Here, 11.5 is the number and its inverse is (-11.5). The sum of both these is equal to zero. Hence, it shows a property of additive inverse.

Thus, we can conclude that property occurring in the example 11.5 + (-11.5) = 0, is additive inverse.

The unknown number, represented by the variable b, is 1/2, which satisfies the equation "Five more than the product of a number and 8 equals 9."

To solve the equation "Five more than the product of a number and 8 equals 9" using the variable b for the unknown number, we can express this statement as an equation:

8b + 5 = 9

To solve for b, we need to isolate the variable on one side of the equation. Let's simplify the equation step by step:

Subtract 5 from both sides to get rid of the constant term:

8b + 5 - 5 = 9 - 5

8b = 4

Divide both sides of the equation by 8 to solve for b:

8b/8 = 4/8

b = 1/2

Therefore, the solution to the equation is b = 1/2. This means that when we substitute b = 1/2 into the equation, the equation will hold true:

8(1/2) + 5 = 9

4 + 5 = 9

Both sides of the equation are equal, confirming that b = 1/2 is the solution.

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The number of pennies weighing as much s earth is  193 × 10²⁴

Index forms are described as described as those forms that are used to represent numbers that are too large or small in more proper ways.

Other names for index forms are scientific notation and standard forms.

Ratio is described as the comparison of numbers or variables on the basis of their size.

It shows how many times one number contains another.

From the information given, we have that;

The earth weighs = 5. 972 × 10 ²⁴ kilograms

The penny weighs = 3.1 × 10 ⁻³ kilograms

Divide the values

= 5. 972 × 10 ²⁴/3.1 × 10 ⁻³

= 1.93 × 10 ²⁶

= 193 × 10²⁴

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The perimeter of the rectangle is 4h + 6

An algebraic expression can be defined as an expression that is composed of terms, variables, coefficients, constants and factors.

These expressions are also made up of arithmetic operations, such as;

The formula for calculating the perimeter of a rectangle is expressed as;

Perimeter = 2( l + h)

Where;

l = 3 + h

Substitute the values

Perimeter = 2( 3 + h+ h)

expand the bracket

Perimeter = 2(3 + 2h)

Perimeter = 4h + 6

Hence, the expression is 4h + 6

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Luis traveled approximately 31,736.8 inches on his bicycle.

We have,

To find the distance that Luis traveled on his bicycle, we need to calculate the circumference of the tires and then multiply it by the number of complete turns.

Given:

Radius of the tires (r) = 20p (2.54) inches

Number of complete turns (n) = 50

The circumference of a circle can be calculated using the formula:

Circumference = 2πr

Substituting the given radius into the formula, we have:

Circumference = 2π * (20p) inches

Now we can calculate the distance traveled (d):

Distance = Circumference x Number of complete turns

Distance = 2π x (20p) x 50 inches

To simplify the calculation, we can approximate π as 3.14:

Distance ≈ 2 x 3.14 x (20 x 2.54) x 50 inches

Calculating this expression, we find:

Distance ≈ 31736.8 inches

Therefore,

Luis traveled approximately 31,736.8 inches on his bicycle.

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The complete question.

What is the distance that Luis traveled on his bicycle rolled 20p (2.54) after the tires gave 50 complete turns

I might not be correct. I tried my best