Help! Sorry if it’s hard to see it would not look different everytime I retook the picture! :)

Answer:

You add 12.5+12.5+3.02+3.02 which equals 31.04

Step-by-step explanation:

Step-by-step explanation:

the height from the right angle in a right-angled triangle is the square root of the product of the segments of the Hypotenuse the height is splitting it into.

so,

x = sqrt(7×9) = sqrt(63) = 3×sqrt(7)

Answer:

draw a rectangle with side lengths 8 and 5. the ratio of the side lengths will be 8:5.

For the equation x²/4 + y²/16 = 1, the vertices of the major axis are located at (0, ±4) and the vertices of the minor axis are located at (±2, 0). The term a30 in the sequence 3/2, 1, 1/2, 0 can be found using the formula an = a1 + (n-1)d, where a1 is the first term, n is the term number, and d is the common difference.

For the equation x²/4 + y²/16 = 1, we can identify the coefficients of x² and y² as a² and b² respectively. Taking the square root of a² and b² gives us a = 2 and b = 4. The major axis is along the y-axis, so the vertices of the major axis are located at (0, ±b) = (0, ±4). The minor axis is along the x-axis, so the vertices of the minor axis are located at (±a, 0) = (±2, 0).

For the sequence 3/2, 1, 1/2, 0, we can observe that the first term a1 is 3/2 and the common difference d is -1/2. Using the formula an = a1 + (n-1)d, we can calculate the 30th term. Plugging in the values, we have a30 = (3/2) + (30-1)(-1/2) = 3/2 - 29/2 = -26. Therefore, the 30th term of the sequence is -26.

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To calculate the gasoline cost for a 2300-mile trip at an average speed of 46 miles per hour, we need to know the fuel efficiency of the vehicle in miles per gallon (mpg). Let's assume a fuel efficiency of 25 mpg for the vehicle.

The total amount of gasoline required for the trip is:

2300 miles ÷ 25 mpg = 92 gallons

The total cost of the gasoline is:

92 gallons x $4.61/gallon = $423.12

Therefore, the gasoline cost for a 2300-mile trip at an average speed of 46 miles per hour is $423.12.

To calculate the gasoline cost at an average speed of 68 miles per hour, we need to adjust the fuel efficiency of the vehicle. According to the U.S. Department of Energy, higher speeds can significantly reduce fuel efficiency, particularly for vehicles with poor aerodynamics.

Assuming a fuel efficiency of 20 mpg at an average speed of 68 miles per hour, the total amount of gasoline required for the trip is:

2300 miles ÷ 20 mpg = 115 gallons

The total cost of the gasoline is:

115 gallons x $4.61/gallon = $530.15

Therefore, the gasoline cost for a 2300-mile trip at an average speed of 68 miles per hour is $530.15.

Answer:An inverse variation can be represented by the equation xy=k or y=kx . That is, y varies inversely as x if there is some nonzero constant k such that, xy=k or y=kx where x≠0,y≠0 .

Step-by-step explanation:

An equation to represent the distance traveled, y, after x seconds is y = 9.25x.

In Mathematics, a proportional relationship produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) based on the data points provided as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 64.75/7

Constant of proportionality, k = 9.25.

Therefore, the required equation is given by;

y = kx

y = 9.25x

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The midpoint of a class is indeed calculated by adding the lower and upper limits of the class and then dividing the sum by two. The statement is true.

This concept is commonly used in statistics and data analysis.

In statistical data, classes are often created to group data points within a range. Each class has a lower limit and an upper limit, defining the range of values it encompasses. The midpoint is a representative value within the class that provides a measure of its central tendency.

To calculate the midpoint, the lower and upper limits of the class are added together, resulting in the total range of the class. Dividing this sum by two gives the midpoint. It is important to note that the midpoint is not necessarily an actual data point; rather, it is a statistical measure used to represent the central value within a class.

For example, suppose we have a class with a lower limit of 10 and an upper limit of 20. Adding these values gives us 30, and dividing by two yields a midpoint of 15. This means that, for the purposes of analysis, we can consider the midpoint of the class as 15.

By calculating midpoints for each class in a data set, statisticians can summarize and analyze data in a more manageable and meaningful way. Midpoints help provide a sense of the central tendencies and distributions within the data, facilitating further statistical analysis and interpretation.

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In the expression f(x)=23, x is not a variable. f(x) means “a function of x” or “f of x” and is in practice another way of substituting for the variable y, that is, we are saying:

y=23.

That means x is unspecified and could be anything. So on the xy plane, this is a straight horizontal line, 23 units above the x axis. That would be the best way to interpret this, although it is a little ambiguous.

Usually functions of x are expressed in terms of x, such as:

f(x) = x^2

Answer:

f(1) = 0

Step-by-step explanation:

If you set x - 1 equal to 0 and solve, you get x = 1 when y is 0

Answer: x+1 plus the fator

Step-by-step explanation:

Answer:

110 words in 5 min, 220 words in 10 min

Step-by-step explanation:

y = mx (there is no intercept because you can't type anything in 0 minutes)

66 = 3m

m = 22

y = 22x

5 minutes:

y = 22(5) = 110 words

10 minutes:

y = 22(10) = 220 words

Solving the exponential equation for x we will get:

x =  -0.79

Here we want to solve the exponential equation for x:

9*2^4x=1

If we divide both sides by 9 we will get:

2^(4x) = 1/9

Now we can apply the natural logarithm in both sides, then we will get:

Ln(2^(4x)) = Ln(1/9)

And remember the rule:

ln(a^b) = b*ln(a)

Using that rule we can rewrite:

Ln(2^(4x)) = Ln(1/9)

(4x)*ln(2) = Ln(1/9)

x = ln(1/9)/(4*ln(2)) = -0.79

That is the solution for x.

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Answer:

2/300, or simplified: 1/150. Decimal: 0.006

Step-by-step explanation:

The original number is 385.

Let's use the given information to form equations:

From "the sum of a three digit number is 11", we have h + t + u = 11.

From "the hundred's digit is three times the ten's", we have h = 3t.

From "the new number is 297 less than the original", we have 100u + 10t + h = 100h + 10t + u - 297.

We can simplify the last equation to get 99h - 99u = 297, which leads to h - u = 3. Substituting h = 3t into this equation gives us 2t - u = 1.

Now we can use the first equation to find u: u = 11 - h - t = 11 - 3t - t = 11 - 4t. Substituting this into the previous equation gives us 2t - (11 - 4t) = 1, which simplifies to t = 4. Then we can find h and u: h = 3t = 12 and u = 11 - h - t = -1 (which doesn't make sense as a digit). This means we made an error, so let's backtrack and check our work.

If we start with t = 3 instead of t = 4, we get h = 9 and u = -1 again. But if we start with t = 5, we get h = 15 and u = 1, which satisfies all the conditions. Therefore, the original number is 100h + 10t + u = 385.

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Answer:

6992 pounds

Step-by-step explanation:

437 bags x 16 pounds per bag = 6992 pounds in all of the bags combined

Answer:

19/5

Step-by-step explanation:

Aquí, queremos escribir el número total de millas que Hans corrió en forma de una fracción impropia.

Para hacer esto, agregamos todas las millas recorridas.

Matemáticamente, eso sería 3 + 4/5 = 3 4/5 Esta es la forma de fracción mixta.

La fracción impropia es así (5 * 3) + 4/5 = 19/5

Answer:

2/5, 4/7, 5/2

Step-by-step explanation:

5/2=2.5     2/5=.40    4/7= .59 that's aproximately  for 4/7

If a local park is open for biking every 12 day open for paddling every 8 day and if today the park is open for both options, then the next date when the park will be open will be on the 24th day. So Hana should pick 24th day from today next.

Every 12 day the local park is open its path for biking and every 8 day they open their lake or paddling. That is in every multiple of 12 days the biking option is available and every multiple of 8 days the paddling option is available.

If today both the biking and paddling option are open, then the next day where both options will be open can be determined by calculating the least common multiple of 12 and 8.

12 = 2×2×3

8 = 2×2×2

LCM (12, 8) = 2×2×2×3

LCM(12, 8) = 24

LCM of 12 and 8 is 24. So 24 days from today, the park will be open for both options.

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3/4 is the total.

See attached image for explanation.

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The portfolio weights for stock A and stock B are approximately 55.69% and 44.31%, respectively.

To calculate the portfolio weights for stock A and stock B, we need to determine the total value of the portfolio and the proportion of each stock's value within that total.

The total value of the portfolio can be calculated as follows:

Total value = (Number of shares of stock A × Price per share of stock A) + (Number of shares of stock B × Price per share of stock B)

Total value = (135 × $84) + (110 × $82)

Total value = $11,340 + $9,020

Total value = $20,360

Now, we can calculate the portfolio weights for each stock:

Weight of stock A = (Value of stock A ÷ Total value) × 100%

Weight of stock A = (($84 × 135) ÷ $20,360) × 100%

Weight of stock A = $11,340 ÷ $20,360

Weight of stock A ≈ 0.5569 or 55.69%

Weight of stock B = (Value of stock B ÷ Total value) × 100%

Weight of stock B = (($82 × 110) ÷ $20,360) × 100%

Weight of stock B = $9,020 ÷ $20,360

Weight of stock B ≈ 0.4431 or 44.31%

Therefore, the portfolio weights for stock A and stock B are approximately 55.69% and 44.31%, respectively.

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a. The amount of money that he lost will be $136.

b. The amount of money that he earned will be $32.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

Miguel is working at the area fair. On Friday, he works at the snack bar. On Saturday, he works at the inflatable dart corner. At the inflatable dart corner, players are charged $1 for the opportunity to toss 3 darts. Prizes worth $4 each are granted to players who pop somewhere around 2 inflatables. Last year, 4 out of 12 players popped 2 inflatables and 1 out of 12 players popped 3 inflatables.

If the ratio of winners to players is the same this year and 204 people play the​ game. Then the amount of money is given as,

⇒ $1 x 204 - $4 x (1/12 + 4/12) x 204

⇒ $204 - $340

⇒ - $136

A negative sign represents the amount lost.

If Miguel requires players to pop 3 balloons to win a prize and 43 players still​ win. Then the amount of money is given as,

⇒ $1 x 204 - $4 x 43

⇒ $204 - $172

⇒ $32

A positive sign represents the amount earned.

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Answer:

A

Step-by-step explanation:

First value is 1, second value is 2 and the third value is 6, 1+2 is 3, add 6 and you get 9

Answer:

All angles in a rectangle are congruent, because in a rectangle, all angles are 90 degrees.

The probability of finding 0 contaminated pieces in  225 g of chocolate is 5.57 X 10⁻⁷.

Here the number of contaminated fragments follows a Poisson process. Hence, let the distribution for the same be X.

Hence we get X ~ Poi(λt)

where λ is the mean no. of contaminated pieces and t is the no. of bars consumed.

For P(X = x) we get [(λt)ˣ  e^(-λt)]/x!

Here λ = 14.4 and t = 1 Hence we will get

P(X = x) = [(14.4)ˣ e⁻¹⁴°⁴]/x!

Here we need to find the probability of the no. of contaminated pieces = 0

Therefore

P(X = 0) = [(14.4)⁰ e⁻¹⁴°⁴]/0!

Hence the probability of finding 0 contaminated pieces in a bar of chocolate is

P(X = 0) =  e⁻¹⁴°⁴

= 5.57 X 10⁻⁷

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The best estimate for the weight of a cantaloupe is 2 kilograms (B).

A decigram is 1/10th of a gram, which would be too small of weight for a cantaloupe. 2 grams (C) is also too small for a cantaloupe as it would only be the weight of a few small seeds. 2 milligrams (D) is an extremely small weight, only suitable for a single grain of salt or a tiny insect.

Therefore, 2 kilograms (B) is the most reasonable estimate for the weight of a cantaloupe as it falls within the typical range of cantaloupe weights.

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Complete Question:

Choose the best estimate for the weight of a cantaloupe. Responses

A 2 decigrams

B 2 kilograms

C 2 grams

D 2 milligrams

The quiz consists of 40 problems and it solved by a linear equation.

What is the linear equation?

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.

Assume that the quiz consists of n problems.

Denise did 7/8 of the problems correctly.

If the total number of problems of the quiz is n, the number of answers that are correct is (7/8)× n.

The number of incorrect problems are 5.

Total number of problems those are done by Denise is { (7/8)× n}+5.

Assume that Denise attempts all problems.

Now making a linear equation:

{ (7/8)× n}+5 = n

(7n)/8+5 = n

(7n+40)/8 = n

(7n+40) = 8n

Subtract 7n from both sides:

7n+40 -7n = 8n - 7n

40 = n

The number of problems in the quiz is 40.

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