rewrite 27 1/3 using roots

The ordered pair of C'' after the sequence of transformation is (-14, -5)

Here we have know that  ABC can be plotted at A (-14, 14), B (-8, 11) & C (-14, 5).

Here we all know that the y-axis reflection rule is written as,

=> (x, y) → (-x, y)

And the value of x coordinate flips in sign from positive to negative, or vice versa. Then the value of y coordinate stays the same.

Then the point is look like C(-14,5) will then reflect based on the following rule,

=> (x, y) → (x, y)

The transformed coordinates are look like,

=> (-14,5) ((-14),5)

=> (-14,5)→ (14,5)

Therefore, here we have point C' located at (14,5) after applying the y-axis reflection rule on point C.

Now, the next operation to do is is the 180 degree rotation.

And this can be clockwise or counterclockwise.

Then the rotation rule is written as

=> (x, y) → (-x,y)

Now, for this time both coordinates flip in sign.

Here we have know that this rule only works if the center of rotation is the origin.

Now, let us apply that rotation rule to C' to find where C" is located.

Then the rule can be written as,  (x, y) → (-x,y)

=> (14,5)→ (-14, -5)

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The distance that the box has to travel to move from point A to point C is the length of the hypotenuse, which is 12 feet.

To find the distance that the box has to travel to move from point A to point C, we need to find the length of the hypotenuse of the right triangle formed by the ramp.

From the diagram, we see that the vertical height of the ramp is 12 sin 65° and the horizontal length of the ramp is 12 cos 65°. Using the Pythagorean theorem, we can find the length of the hypotenuse:

\(hypotenuse^2\) = (12 cos 65°\()^2\) + (12 sin 65°\()^2\)

\(hypotenuse^2\) = 144 \(cos^2\) 65° + 144 \(sin^2\) 65°

\(hypotenuse^2\) = 144 (\(cos^2\) 65° + \(sin^2\)65°)

\(hypotenuse^2\) = 144

hypotenuse = 12

Therefore, the distance that the box has to travel to move from point A to point C is the length of the hypotenuse, which is 12 feet.

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Answer:

I don't known the answer if I know I show u sorry I cannot help u

About 95.44% of the cockroaches have weights between 76 grams and 84 grams.

we can use the properties of the normal distribution. We know that the weights of dormitory cockroaches follow a normal distribution with a mean of 80 grams and a standard deviation of 2 grams.
To find the percent of cockroaches with weights between 76 grams and 84 grams, we need to calculate the area under the normal curve between these two values.

First, let's standardize the values of 76 grams and 84 grams using the z-score formula:
Z = (X - μ) / σ

where X is the given value, μ is the mean, and σ is the standard deviation.
For 76 grams:
Z1 = (76 - 80) / 2 = -2

For 84 grams:
Z2 = (84 - 80) / 2 = 2

Now we can use a standard normal distribution table or a calculator to find the area under the curve between -2 and 2.
From the standard normal distribution table, we can find that the area to the left of -2 is approximately 0.0228, and the area to the left of 2 is approximately 0.9772.

To find the area between -2 and 2, we subtract the smaller area from the larger area:
0.9772 - 0.0228 = 0.9544

So, approximately 95.44% of the cockroaches have weights between 76 grams and 84 grams.

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Answer:

the answer should be 6

3(6-14) = -24

then -24 ÷ (-4) is 6

Answer:

135

Step-by-step explanation:

a = 45    {Vertically opposite angles}

b =  a      {p //q , Corresponding angles are equal}

b = 45

x+y + b = 180   {Angle sum property of triangle}

x + y + 45 = 180

        x + y = 180 - 45

x + y  = 135

Answer:

Step-by-step explanation:

Distance from equipment position to tree base is known. Measured angle of elevation is twenty five degrees. What is the allowed error in the angle measurement?

Two percent of twenty five degrees is

2/100 × 25 = 0.02 × 25 = 0.5

This is the allowed error in the angle measurement - 0.5 degrees

Hence, the angle could or should fall anywhere between 24.5 and 25.5

These two figures are gotten by subtracting 0.5 from 25 and by adding 0.5 to 25 respectively.

The allowed error in the angle measurement is 0.5 degrees.

Answer:

$54.65 profit per seat

Step-by-step explanation:

150(185) + 35(185)(.8) = 27,750 + 5,180 = 32,930 - 22,000 = 10,930

10,930/200 = $54.65 profit per seat

Answer:

$54.65

Step-by-step explanation:

First, we find the total amount made. This is easy:

(150 x 185) + (35 x .8(185)) =

27750 + 5180 =

32930

We then subtract the $22000, so the company makes a profit of 10930. There are 200 seats, so the profit made per seat is $54.65

To find the probability that the sample proportion of Republicans will be greater than 60% in a sample of 447447 voters, we need to use the concept of sampling distributions and the normal approximation to the binomial distribution.

To calculate the probability, we can use the normal approximation to the binomial distribution since the sample size is large (447447) and the proportion of Republicans in the population is given (56%).

First, we calculate the mean and standard deviation of the sampling distribution. The mean (μ) is equal to the proportion of Republicans in the population (56%) and the standard deviation (σ) is determined using the formula: σ = sqrt((p * (1 - p)) / n), where p is the proportion of Republicans and n is the sample size.

Next, we standardize the sample proportion of 60% using the formula: z = (x - μ) / σ, where x is the sample proportion we want to find the probability for. In this case, x is 60%.

Finally, we use a standard normal distribution table or a statistical calculator to find the probability corresponding to the standardized value of z. The probability will be the area under the curve to the right of the standardized value.

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Answer:

hi

Step-by-step explanation:

According to the United States Census Bureau, the average number of cars per household in America is 1.84. Therefore, the correct answer is option (d) 1.84.

The expected number of cars in a randomly selected American household can be calculated by finding the mean number of cars per household in America. The mean is calculated by summing up all the number of cars in all households and dividing the total by the number of households. According to the most recent data available from the United States Census Bureau, the total number of households in America is approximately 128 million, and the total number of cars is approximately 236 million.

Mean = Total number of cars / Total number of households

Mean = 236,000,000 / 128,000,000

Mean = 1.84

Therefore, the expected number of cars in a randomly selected American household is 1.84, which corresponds to option (d) in the given options.

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Answer:

0

Step-by-step explanation:

x+12 = 9+2x +3

x = 12-12

x = 0

Answer:

To find the upper bound of divide the upper bound of x (numerator) by the lower bound of x (denominator). To find the lower bound of divide the lower bound of (numerator) by the upper bound of y (denominator). To find the upper bound of x – y , subtract the lower bound of y from the upper bound of .

Step-by-step explanation:

The maximum value of the objective function Z = 40x₁ + 5x₂, subject to the constraints x₁ + x₂ ≤ 5 and 6x₁ + x₂ ≤ 20, where x₁, x₂ are integers between 0 and 25, can be found using the branch and bound method.

To solve this problem, we start with an initial solution by considering the constraints and finding the feasible region. Then, we compute the objective function for this initial solution. Next, we branch the problem into subproblems by considering different combinations of x₁ and x₂. We calculate the lower bounds for each subproblem to determine the potential for improvement. We continue branching and bounding until we find the optimal solution with the maximum value of Z.

The branch and bound method systematically explores the solution space, optimizing the objective function by considering different feasible regions. It provides a structured approach to find the optimal solution for linear programming problems.

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The lower limit for the standard deviation is always 0, while the upper limit depends on the data and its distribution.

The standard deviation is a measure of the spread or dispersion of a set of data. It is defined as the square root of the variance, which is the average of the squared differences between each data point and the mean of the data. Since the variance involves squaring the differences, it is always positive or zero. Therefore, the standard deviation cannot be negative and has a lower limit of 0.

The upper limit of the standard deviation depends on the data and its distribution. In general, the standard deviation cannot be greater than the range of the data, which is the difference between the maximum and minimum values. For example, if the range of the data is 10 and the standard deviation is 15, then there must be an error or some issue with the data.

However, in some cases, the standard deviation can be much larger than the range of the data. This can happen if the data is highly skewed or has outliers. Skewed data is when the distribution of the data is not symmetrical, and most of the data falls on one side of the mean. In this case, the standard deviation may be much larger than the range of the data, as it takes into account the extreme values.

Outliers are data points that are much larger or smaller than the rest of the data. They can have a significant effect on the standard deviation, as they increase the variability of the data. In some cases, outliers may be errors or anomalies that should be removed from the data set before calculating the standard deviation.

In summary, the lower limit of the standard deviation is always 0, while the upper limit depends on the data and its distribution. In general, the standard deviation cannot be greater than the range of the data, but it can be much larger if the data is highly skewed or has outliers. It is important to consider the context of the data and any potential issues before interpreting the standard deviation.

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Answer:

£65

Step-by-step explanation:

The original price of the table is unknown, so let x = original price of the table.

The price, x, increased by 4/5 of the price, so the increase is 4/5 x.

The total price after the increase is x + 4/5 x = 5/5 x + 4/5 x = 9/5 x.

The price after the increase is £117.

9/5 x = 117

5/9 * 9/5 x = 5/9 * 117

x = 65

Answer: £65

Answer:

£ 93.60 p

Step-by-step explanation:

I am not sure if I am fully correct but what I did , I divide 117 / 5 and then x by 4 to give me the price

(117/5 ) x 4 = £ 93.60 pence

117 / 5 =  £ 23.40 p x 4 = £ 93.60 pence

Answer:

hey there, the answer is 8.9429 × 10^8

Answer:

8.9429 × 10^8

Step-by-step explanation:

ya the answer is 8.9429 × 10^8

The mass of a 6.75 kg bowling ball is equivalent to 67.5 hg, 67.5 dag, 6750 g, 67500 cg, or 6750000 mg.

Mass is a measure of the amount of matter an object contains. The equation used to convert between mass units is:

Mass (m) = Mass (M) × Conversion Factor

For example, if we want to convert 6.75 kg to hg (hectograms), the formula and calculation would be:

m (hg) = M (kg) × 100

m (hg) = 6.75 kg × 100

m (hg) = 67.5 hg

Similarly, we can convert 6.75 kg to dag (decagrams) using the formula:

m (dag) = M (kg) × 10

m (dag) = 6.75 kg × 10

m (dag) = 67.5 dag

To convert 6.75 kg to g (grams), the formula and calculation are:

m (g) = M (kg) × 1000

m (g) = 6.75 kg × 1000

m (g) = 6750 g

We can also convert 6.75 kg to cg (centigrams) using the formula:

m (cg) = M (kg) × 10000

m (cg) = 6.75 kg × 10000

m (cg) = 67500 cg

Finally, to convert 6.75 kg to mg (milligrams), the formula and calculation are:

m (mg) = M (kg) × 1000000

m (mg) = 6.75 kg × 1000000

m (mg) = 6750000 mg

In conclusion, the mass of a 6.75 kg bowling ball can be equivalent to 67.5 hg, 67.5 dag, 6750 g, 67500 cg, or 6750000 mg.

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Answer:

see below

Step-by-step explanation:

The amount she withdrew is 45*4 =180

405 - 4*45=

405 -180 =225

There is 225 in the account

Answer: a) $225

Step-by-step explanation:

405 - 45 (4) = x

405 - 180 = x

225 = x

Step-by-step explanation:

If the contents of one cup are split up into 3 equal parts, each will be one third of the cup. Each cup has three thirds, Therefore in 6 cups there will be six times as many thirds. We can also calculate by dividing.

I hope it's helpful!

Answer:

9

Step-by-step explanation:

Answer:

I think number A is right

The period for the following graph is 90 degrees. So correct option is C.

In mathematics, a period is a specific type of repetition in a function or a sequence. A period is the smallest positive value of a constant T for which a function or a sequence f(x + T) = f(x) for all x.

Periods are used to describe the behavior of functions and sequences that exhibit a repeating pattern. The length of the period determines the frequency of the pattern, and it is often used to describe the periodicity of functions in various applications, such as signal processing, harmonic analysis, and Fourier series.

For example, the sine function sin(x) is periodic with a period of 2π. This means that sin(x + 2π) = sin(x) for all x. Similarly, the cosine function cos(x) is also periodic with a period of 2π. Other common examples of periodic functions include the tangent function, cotangent function, and exponential function.

In addition to their applications in mathematics, periods also have practical applications in fields such as physics, engineering, and computer science, where they are used to model periodic phenomena such as waves and oscillations.

Overall, periods are an important concept in mathematics and are used to describe the repeating patterns that are found in many mathematical functions and sequences.

The period for the following graph is 90 degrees.

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Answer:

-56

Step-by-step explanation:

Equation: (4 * +1) (2 * -7)

Simplify: (4 * 1)(2 * - 7)

Multiply: (4)(-14)

Answer: -56

I hope this helps, have a nice day :D

The required unit rate of the Savannah run is given as 1/10 mile per minute. Option D is correct.

A unit rate is a rate in which the second term is 1. In other words, a unit rate is a rate that compares two quantities, with the second quantity being expressed as 1. Unit rates are often used to express a rate per unit of measurements, such as price per item, speed per hour, or cost per pound.

here,
As given in the question Savannah can run 1/2 mile in 300 seconds to evaluate the unit rate we must convert the time given second in minutes by dividing it by 60,
300 seconds = 300/60 = 5 minutes

Now,

Unit rate = 1/2 mile: 5 minutes
Unite rate = 1/10 mile per minute

Thus, the required unit rate of the Savannah run is given as 1/10 mile per minute. Option D is correct.

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Answer:

\(12\) cm

Step-by-step explanation:

If Kelsey knit a total of \(6\) cm of scarf over \(2\) nights, then we know that she can knit \(\frac{6}{2}=3\) cm each night. Therefore, after \(4\) nights of knitting, Kelsey would have knit a total of \(3*4=12\) cm of scarf in total. Hope this helps!

Answer:

28/10

Step-by-step explanation:

To find out scale factor, you need to divide both sides which means

7/2.5 is 2.8 and if we turn that into a fraction we get 28/10

Let

x -----> number of orange balls

y -----> number of green balls

we have that

x+y=123 -----> x=123-y ------> equation A

y=5x+9 -----> equation B

Solve the system of equations

substitute equation A in equation B

y=5(123-y)+9

solve for y

y=615-5y+9

y+5y=615+9

6y=624

y=104

Find out the value of x

x=123-104

x=19

therefore