What is 1 3/7 plus 2/28 (simplify it)

Answer:

14:20 or 7:10

Step-by-step explanation:

The ratio of the carrots to tomatoes is 14:6 therefore if she plants 20 vegetables, she'll have 14 carrots and 6 tomatoes. Therefore the ratio of carrots to the total plants is 14:20 which is equal to 7:10

Answer:

64

Step-by-step explanation:

Lets take mei lin's first four test scores to be 60 since it average out to be 60.

After the 5th test,

mei lin new average score is

\( \frac{new \: total \: score}{total \: number \: of \: tests} \\ = \frac{60 + 60 + 60 + 60 + 80}{5} \\ = \frac{320}{5} \\ = 64\)

The average of mei lins marks in science after all five tests is 64.

Since her science teacher gives tests that are marked out of 100. mei lin has an average of 60 marks on her first four science tests. on the fifth test she got 80 marks.

So here the average be like

= (60 + 60 + 60 + 60 + 80 ) / 5

= 320 / 5

= 64

hence, The average of mei lins marks in science after all five tests is 64.

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Answer:

m<K = 146°

Step-by-step explanation:

From the above information given, we can conclude that ∆JKL is an isosceles triangle with two equal sides, KL and JK. Therefore, the angles opposite each side of KL and JK are congruent to each other. Which are:

<J and <L.

m<J = 17° (given)

Therefore,

m<L = m<J = 17° (base angles of the isosceles ∆)

m<L = 17°

m<K = 180° - (m<J + m<L)

m<K = 180° - (17 + 17)

m<K = 146°

Answer:

15 hours

Step-by-step explanation:

The dimensions of the box that minimize the amount of materials used are a base with side length 32 cm and a height of 15.625 cm.

To minimize the amount of material used for the open-top box with a volume of 16,000 cm³, we will use calculus to find the dimensions that result in the smallest surface area. Let the side length of the square base be 'x' cm and the height of the box be 'h' cm. The volume V is given by V = x²h, and we know V = 16,000 cm³.

First, express the height in terms of the base side length:
h = 16,000 / x²

The surface area (A) of the box, including the base and four sides, can be expressed as:
A = x² + 4(xh)

Substitute the expression for 'h' from above:
A = x² + 4(x * 16,000 / x²) = x² + 64,000 / x

Now, find the critical points of 'A' with respect to 'x' by differentiating A with respect to x and setting the derivative to zero:
dA/dx = 2x - 64,000 / x² = 0

Solve for 'x':
x³ = 32,000
x = 32 cm

Now, find the corresponding height 'h':
h = 16,000 / 32² = 16,000 / 1,024 = 15.625 cm

So, the dimensions of the box that minimize the amount of materials used are a base with side length 32 cm and a height of 15.625 cm.

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Answer: c=36

Step-by-step explanation: c/4-5=4

Add 5 to 4

c/4=9

9 divided by 1/4

C= 36

Answer:

x = 11

z = 86

Step-by-step explanation:

8x + 6 and 10x-16 are vertical angles

Vertical angles are pairs of angles that are opposite each other and have the same vertex, or point of intersection. They are formed when two lines intersect at a point, and are always congruent, or of equal measure.

To solve this equation, we need to isolate the variable x on one side of the equation. To do this, we can start by subtracting 6 from both sides of the equation:

8x + 6 - 6 = 10x - 16 - 6

8x = 10x - 22

Now we can subtract 8x from both sides of the equation:

8x - 8x = 10x - 22 - 8x

0 = 2x - 22

To solve for x, we can add 22 to both sides of the equation:

0 + 22 = 2x - 22 + 22

22 = 2x

Finally, we can divide both sides of the equation by 2 to find the value of x: 22 / 2 = 2x / 2

x = 11

Therefore, the solution to the equation is x = 11.

Now that we have x, z is a supplementary angle to 8x + 6 (or you could do 10x - 16)

Supplementary angles are pairs of angles that add up to 180 degrees. They are formed when two lines intersect at a point, and the angles formed at the intersection are supplementary.

First plug in x, 8x + 6 = 8(11) + 6 = 88 + 6 = 94

180 - 94 = z

z = 86

Answer:

- 9 + 12x

Step-by-step explanation:

- 3(3 - 4x) ← multiply each term in the parenthesis by - 3

= - 9 + 12x

The average population between year 1 and year 10 is approximately 55,555 people.

To find the average population between year X and year Y, we need to first calculate the total population increase over that time period. We can do this by subtracting the population in year X from the population in year Y.

Population increase = Population in year Y - Population in year X

Once we have the population increase, we can divide it by the number of years between X and Y to get the average annual population increase.

Average annual population increase = Population increase / (Y - X)

Finally, to find the average population between year X and year Y, we need to add the average annual population increase to the population in year X.

Average population = Population in year X + Average annual population increase

For example, if the population of a city is expected to be 100,000 people after 10 years, and we want to find the average population between year 1 and year 10, we would do the following:

Population in year 1 = X = 50,000 (let's say)
Population in year 10 = Y = 100,000
Population increase = 100,000 - 50,000 = 50,000
Number of years between X and Y = 10 - 1 = 9
Average annual population increase = 50,000 / 9 = 5,555.56 (rounded)
Average population = 50,000 + 5,555.56 = 55,555.56 (rounded)

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The average population of the city between the starting year and 10 years later is estimated to be 625,000.

The average population of a city between two specific years, we will need to use the formula for calculating the arithmetic mean.

The sum of all the values divided by the number of values.

We will need to sum up the populations of the city for each year between the two given years and divide the result by the number of years included.
Let us assume that the population of the city in the year we are starting with is "P1" and the population after "n" years is "P2".

Therefore, the average population can be calculated as:
\(Average Population = (P1 + P2) / 2\)
The exact population figures for each year between the two given years, we will have to use an estimated population growth rate to make the calculation.

We can use the formula:
\(P2 = P1 \times (1 + r)^n\)
where "r" is the estimated annual growth rate and "n" is the number of years between the two given years.
Let's assume that the population of the city in the starting year is 500,000 and the estimated population after 10 years is 750,000. Using the formula, we can calculate the estimated annual growth rate as:
\(r = (P2 / P1)^{(1/n)} - 1   = (750,000 / 500,000)^{(1/10)} - 1   = 0.0473 or 4.73\%\)
The estimated annual growth rate, we can calculate the average population between the two given years using the formula:
\(Average Population = (P1 + P2) / 2 = (500,000 + 750,000) / 2 = 625,000\)

It is important to note that this is just an estimate based on the assumed growth rate, and the actual population may vary from this calculation.

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The two different quantities Analia thought to measure which school has higher academic performance are :

B. Graduation rate / Budget per student

D. SAT average / Budget per student

In other to define a quantity which measures academic achievement;

We take the ratio of a related metric or parameter which is a measure of the academic performance of the student in each school and the budget per student for each school .

The parameters which could be used to measure academic achievement are;

The graduation rate of each school.

The SAT average of each school.

Hence, the quantity to measure academic achievement relative to budget per student could be expressed as ;

Graduation rate / Budget per student

SAT average / Budget per student

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Answer:

Y intercept is 7 here,

Look my first question

The total cost of materials and labor for the office space, considering a tile unit cost of P300 and labor cost equal to the materials cost, amounts to P63,000.

To calculate the total cost of materials and labor, we first need to determine the cost of the tiles. Given that the unit cost of a certain tile is P300, we can multiply this by the area of the office space to find the total cost of the tiles. The office space has an area of 63 sqm, so the total cost of the tiles is P300 * 63 = P18,900.

Next, we need to calculate the labor cost, which is 100% of the materials cost. Since the materials cost is P18,900, the labor cost will be equal to P18,900. Therefore, the total cost of labor is also P18,900.

To find the total cost of materials and labor, we add the cost of the tiles (P18,900) and the labor cost (P18,900): P18,900 + P18,900 = P37,800.

Therefore, the total cost of materials and labor for the office space is P37,800.

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The number of pieces per stack after 3 cuts represented by a power expression can be written as \( 3^{3} \)

Using a power expression :

Therefore, the Number of pieces present in stack after 3 cuts is \( 3^{3} \)

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Answer:

has infinite solution

Step-by-step explanation:

(x,y)=(1-2a,a) where a is an element of any real number

Answer:

The answer is 26 is after 34.

The pattern is x - 8 = y.

Step-by-step explanation:

Good luck! <3

Answer:

c

Step-by-step explanation:

count

Answer:

C

Step-by-step explanation:

The hypothesis is the phrase following the word if = " three points lie on a line"

The conclusion is the phrase following the word then = "they are collinear."

A specific, verifiable prediction of what the researcher(s) believe the study's results will be is known as a hypothesis (plural: hypothese). It is stated at the outset of the investigation.

Most often, this entails speculating on a potential correlation between two variables: the independent variable (what the researcher modifies) and the dependent variable (what the research measures).

The null hypothesis and the alternative hypothesis (known as the experimental hypothesis when the technique of examination is an experiment) are traditionally written as two separate forms of the hypothesis in research.

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The given statement "Of the range, the interquartile range, and the variance, the interquartile range is least influenced by an outlying value in the data set." is False

Range: It is the difference between the minimum and maximum values of data. It is affected by the presence of outliers.

Interquartile range: It is the difference between the third quartile and the first quartile of data.

Variance:

Variance = \(\frac{\Sigma(x_{i} - \bar{x})^{2}}{n}\)

where xi are data points,  \(\bar{x}\) is the mean and n is the number of observations. It is a measure of the spread of the data. It is affected by the presence of outliers as they increase the variation in the data.

Hence, the given statement is false.

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Answer:

y=1.6x-5

Step-by-step explanation:

The probability of rolling an odd number is 1/2, assuming that the number cube is fair.

The sample space is the set of all possible outcomes of an experiment. In this case, the experiment is rolling a number cube once and recording the outcome. Since the number cube has six faces labeled from 1 to 6, the sample space can be represented as:

S = {1, 2, 3, 4, 5, 6}

The event of rolling an odd number consists of the outcomes 1, 3, and 5.

Therefore, the set of all outcomes for the event of rolling an odd number is: {1, 3, 5}

The probability of rolling an odd number can be found by adding the probabilities of the individual outcomes in the event:

{P(odd)} = P(1) + P(3) + P(5) = 1/6 + 1/6 + 1/6 = 3/6 = 1/2

Therefore, the probability of rolling an odd number is 1/2.

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Answer:

Online Real Estate Investment Opportunities

Hiring a Property Management Company

Make Sure There's Enough Money Available

Calculate Your Expenses

You Should Earn roughly 10% After Costs and Income are Calculated

Step-by-step explanation:

hope it helps

mark me brainliest

Answer:

6xy(2x²-3y)

Step-by-step explanation:

factorized completely

Answer: Partitioning a Segment in a Given Ratio ; Find the coordinates of the point that divides the directed line segment · with the coordinates of endpoints at M(−4,0) ...

Step-by-step explanation:

True, a researcher wants to compare performance scores for men versus women on a motor skills task. it would not be possible to use a repeated measures design for this study.

What is a performance comparison?

They are frequently used while benchmarking, which is the practice of evaluating an organization's performance versus that of the best-performing businesses.

                 The measures are employed in productivity improvement projects to monitor changes in productivity over time.

Why is performance measurement important?

Comparing is one of the most important growth drivers. Only when we contrast our development with that of our rivals or our current performance with our former performance do we get motivated to advance and accomplish greater feats.

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The gain margin is found to be 0.83 and the phase margin is found to be 39.0 degrees.

a. Plotting the Bode diagram of G(s) using asymptotes:

We have, G(s) = 8(s+2) / s(s+4) (s²+2s+20)

So, let's start with the magnitude of the transfer function |G(s)|:

|G(s)| = 8 × |(s+2)| / |s| × |(s+4)| × |(s²+2s+20)|

We know that as s approaches infinity, the magnitude approaches to unity since there are no poles or zeros in the right half-plane. Hence, the asymptote for the high-frequency magnitude response is 0dB.

In a similar way, as s approaches zero, |G(s)| approaches zero because of the presence of the single zero at s=-2.

Hence, the asymptote for the low-frequency magnitude response is 0dB.

Since the order of the denominator is two greater than the numerator, we have two poles at the origin and two poles at s = -4. Hence, the corner frequency is

sqrt(4.0 × 0.0) = 0.0,

which is the frequency at which the two asymptotes cross each other.

Let ω1 = 0.01 rad/sec. We get the following magnitude plot with asymptotes.

0db -2 × 20 × log ω + 20 × log 0.01 + 8 × 20 × log(ω+2) - 20 × log|ω+4| - 20 × log|ω|  

b. Finding the gain and phase margins: To find the gain margin, we need to find the gain at the frequency at which the phase angle is -180 degrees. To find the phase margin, we need to find the phase angle at the frequency at which the gain is unity. Using Bode plot, the gain crossover frequency is found to be at 1.1219 rad/s and the corresponding gain is -1.3855 dB.

Therefore, the gain margin is found to be:

GM = 1 / |G(jωgc)|,

where ωgc is the gain crossover frequency.

|G(jωgc)| = 10^(1.3855 / 20)

= 1.2109GM

= 1 / 1.2109

= 0.8268 or 0.83 (rounded off to two decimal places)

Using Bode plot, the phase crossover frequency is found to be at 4.1744 rad/s and the corresponding phase angle is -128.96 degrees. Therefore, the phase margin is found to be:

PM = 180 + arg[G(jωpc)] + 128.96,

where ωpc is the phase crossover frequency.

G(jωpc) = -j

= -1 × e^(-jπ/2)PM

= 180 + (-90 - 128.96)

= 39.04 degrees or 39.0 degrees (rounded off to one decimal place)

Conclusion: In conclusion, the gain margin is found to be 0.83 and the phase margin is found to be 39.0 degrees.

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Therefore, the magnitude of vector v is 6 and its direction is 160°.

Magnitude generally refers to the size or extent of something. The term is often used in different contexts, and its meaning can vary depending on the specific field or area of application. Here are a few examples of how magnitude can be defined in different contexts:

Physics: In physics, magnitude usually refers to the size or amount of a physical quantity, such as distance, speed, acceleration, force, or energy. Magnitude can be measured in various units, such as meters, seconds, meters per second, Newtons, or Joules.

Earthquakes: In seismology, magnitude is a measure of the strength or intensity of an earthquake, which is usually expressed on the Richter scale or the moment magnitude scale. The higher the magnitude, the more energy is released by the earthquake, and the stronger its impact on the ground and structures.

The magnitude of vector v is given by:

|v| = |2u| = 2|u| = 2(3) = 6

Therefore, the magnitude of vector v is 6.

The direction of vector v is the same as the direction of vector u, since multiplying a vector by a scalar does not change its direction, only its magnitude. So the direction of vector v is also 160°.

Therefore, the magnitude of vector v is 6 and its direction is 160°.

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The area left for children for playing 114464 sq. m

As per the given data inside a park:

The length of the park is 400 m

The breadth of the park is 300 m

The formula for the area of the park = Length × Breadth

= (400 × 300) sq. m

= 120000 sq. m

The width of the walking track inside the park is 4 m

The length of the park without the walking track

= 400 − (4 + 4) m

= 400 − 8 m

= 392 m

The breadth of the park without the walking track

= 300 − (4 + 2) m

= 300 − 8 m

=292 m

Area of the park without the walking track:

= 392 × 292

= 114464 sq. m

Therefore the area left for children for playing other than the walking track is 114464 sq. m.

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The interest for the first month would be $14.21.

To calculate the interest paid if you pay at the end of the month, we first need to calculate the interest on the remaining balance.

The monthly interest rate can be calculated by dividing the annual percentage rate (APR) by 12:

13.75% / 12 = 0.01146 (rounded to 5 decimal places)

For the first month, the interest on the balance of $1240.24 would be:

.01146 x $1240.24 = $14.21

So if you pay $250 at the end of the month, your new balance would be:

$1240.24 + $14.21 - $250 = $1004.45

To calculate the interest paid if you pay at the beginning of the month, we need to calculate the interest on the balance of $1240.24 before making the payment.

The interest for the first month would be:

0.01146 x $1240.24 = $14.21

So your new balance would be:

$1240.24 + $14.21 - $250 = $1004.45

Since the payment is the same in both scenarios, the difference in interest paid after one month is zero.

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