A. johnny translated abcd 3 units to the right and 4 units up to a new position, efgh. draw and label efgh.

b. tom rotated abcd to a new position, ijkl, 90º clockwise about the origin, o. draw and label ijkl.

c. tony placed a smaller car, represented as mnop, on the coordinate plane. mnop is a dilation of abcd with its center at the origin and a scale factor of -0.5. draw and label mnop.

In triangle XYZ, the measure of angle Y is approximately 86°

From the question, we are to determine the measure of angle Y.

To determine the value of Y,

First, we will determine the value of z

From the Laws of Cosines, we can write that

z² = x² + y² -2xy cos(Z)

From the given information,

x = 890 cm

y = 930 cm

∠Z = 21°

Thus,

z² = 890² + 930² -2(890)(930) cos(21°)

z² = 1657000 - 1545449.038

z² = 111550.962

z = √111550.962

z = 333.992458 cm

z ≈ 334 cm

Now,

From the Laws of Sines, we can write that

sin (Y) / y = sin (Z) / z

sin (Y) / 930 = sin (21) / 334

sin (Y) = (930 × sin (21)) / 334

sin (Y) = 0.99785

Y = sin⁻¹ (0.99785)

Y = 86.24219°

Y ≈ 86°

Hence, the measure of angle Y is 86°

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The type of study that is generally considered to be the most complex to plan and arrange is an experiment.

An experiment is a type of research study in which the investigator manipulates one or more variables and observes the effects on one or more outcome variables.

One of the main challenges of conducting an experiment is that the investigator needs to carefully control for all of the variables that could potentially affect the outcome of the study. This requires a high level of planning and organization to ensure that the experiment is conducted in a systematic and controlled manner.

In contrast, observational studies and sample surveys do not involve manipulating variables and are generally considered to be less complex to plan and arrange. Observational studies involve observing and collecting data from naturally occurring situations, and sample surveys involve collecting data from a sample of individuals or units.

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Answer: $2

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

162/3=54

Answer:

3:25 pm

Step-by-step explanation:

The distance between New Orleans and Houston is : 353 miles

Departure time of the bus : 12:20 pm

Speed of the bus: 60 mph

After 45 minutes, the bus will be at a distance of : 45/60 * 60 = 45 miles

Distance remaining to cover = 353-45 = 308 miles

Speed of the motorcycle = 72 mph

Relative speed = 60 + 72 = 132 mph

Time the two will meet = 308 / 132 =  7/3 hrs

7/3 hrs = 2 hrs  20 minutes

Time the two will meet is ;

12:20 pm + 45 minutes + 2 hrs 20 minutes

= 3:25 pm

Both the bus and the motorcycle are driving opposite to each other.

From the given data, the time at which both the bus and the motorcycle will pass each other is 3:25 PM

The time at which both the motorcycle and the  bus will pass each other.

Let after t hour from the time when motorcycle starts, they both meet.

Then we have:

353 miles = 45 minute traveled by bus + distance traveled by bus in t hour + distance traveled by motorcycle in t time.

Since 45 minutes is three fourth of an hour, thus:

Distance traveled by bus in 45 minutes is calculated as:

\(D_{Bus}(45 \:\rm min) = 60 \times \dfrac{3}{4} \: \rm miles = 45 \: \rm miles\)

Distance traveled by bus in t hours is:

\(D_{Bus}(t \: \rm hours) = 60 \times t \: \rm miles = 60t \: \rm miles\)

Distance traveled by motorcycle in t hour is:

\(D_{motorcycle}(t \: \rm hours) = 72 \times t \: \rm miles = 72t \: \rm miles.\)

Thus, we have:

\(353 = 60t + 72t + 45\\\\308= 132t\\\\t = \dfrac{308}{132}\\\\t= \dfrac{7}{3}\: \rm hours\\\\t=2 \: \rm hours + 20 \: \rm minutes\)

Thus, time at which they meet was 12:20 PM + 45 minutes + 2 hours + 20 minutes = 3:25 PM

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Answer:

3/5-1

Step-by-step explanation:

2.1 The volume in ml of one can of cold drink is 83 ml.

2.2 The height of the cooler bag is 18 cm.

2.3 The volume in ml of the cooler bag if the breadth of the bag is 12 cm and the length 18 cm is 3,888 ml.

2.4 The circumference of the can is 18.84 cm.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

By substituting the given side lengths into the volume of a cylinder formula, we have the following;

Volume of can = 3.14 × (6/2)² × 8.84

Volume of can = 83.27 cm³.

Note: 1 cm³ = 1 ml

Volume of can in ml = 83.27 ≈ 83 ml.

Part 2.2.

For the height of the cooler bag, we have:

Height of cooler bag = 2 × height of can

Height of cooler bag = 2 × 8.84

Height of cooler bag = 17.68 ≈ 18 cm.

Part 2.3

Volume of cooler bag = length × breadth × height

Volume of cooler bag = 18 × 12 × 18

Volume of cooler bag = 3,888 ml.

Part 2.4

The circumference of the can is given by:

Circumference of circle = 2πr

Circumference of can = 2 × 3.14 × 3

Circumference of can = 18.84 cm.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer: 9.7 seconds

Step-by-step explanation:

\(16t^2 =1503\\\\t^2 =1503/16\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7\)

Answer:

Step-by-step explanation:

is this in college?

The initial velocity = vi = 6m/s

The final velocity = vf = 16 m/s

The total time = t = 20 seconds

The rate of change in velocity is called acceleration (a) that can be written as:

or

Put the values in the equation to get the value of 'a'.

or

hence, the value of a is 1/2.

The true mean swimming speed of all emperor penguins in the population falls within the range of 9.441 km/h to 10.101 km/h.

To construct a 95% confidence interval for the mean swimming speed of all emperor penguins in the population, we can use the formula:

CI = (x(bar) - E, x(bar)+ E)

where x(bar) is the sample mean (9.771 km/h), E is the margin of error, and CI represents the confidence interval.

The margin of error can be calculated using the formula:

E = t × \((s / \sqrt(n))\)

where t is the critical value corresponding to the desired confidence level (95% in this case), s is the sample standard deviation (0.944 km/h), and n is the sample size (31).

Using the t-distribution table or a statistical calculator, the critical value for a 95% confidence level with a sample size of 31 is approximately 2.039.

Plugging in the values into the formula, we have:

E = 2.039 × \((0.944 / \sqrt(31))\)

Calculating E gives us approximately 0.330.

Therefore, the 95% confidence interval for the mean swimming speed of all emperor penguins in the population is:

CI = (9.771 - 0.330, 9.771 + 0.330) = (9.441 km/h, 10.101 km/h)

Interpretation: We can be 95% confident that the true mean swimming speed of all emperor penguins in the population falls within the range of 9.441 km/h to 10.101 km/h based on the given sample data.

The estimate of the mean swimming speed can be generalized to all types of penguins only if the sample used to estimate the mean is representative of the entire population of penguins. In this case, the sample consists of emperor penguins, so the estimate is specific to emperor penguins and may not accurately represent the mean swimming speed of all types of penguins.

Different species of penguins have distinct characteristics, including body size, habitat, and behavior, which can influence their swimming speeds. Therefore, it is not appropriate to generalize the estimate of the mean swimming speed to all types of penguins without considering the specific characteristics and differences among penguin species.

To generalize the estimate to all types of penguins, a representative sample of different penguin species would be needed, ensuring that the sample adequately represents the diversity of penguin species in terms of size, habitat, and other relevant factors.

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Answer:

Step-by-step explanation:

4) Angles opposite to equal sides are equal

45 + 45 + x = 180     {Angle sum property}

        90 +x = 180       {Subtract 90 from both sides}

               x = 180 - 90  

               x = 90

120 +y + y = 180        {Angle sum property}

      120 +2y = 180       {Subtract 120 from both sides

              2y =180 - 120

               2y = 60      {Divide both sides by 2}

                 y = 60/2

y = 30

5)All sides are equal. so this is a equilateral triangle.

So each angle of equilateral triangle = 60

4x = 60

x = 60/4

x = 15

y = 60 +60   {Exterior of triangle equal sum of opposite interior angles}

y = 120

6) All sides are equal. so this is a equilateral triangle.

So each angle of equilateral triangle = 60

y - 10 = 60    {add 10 to both side}

y = 60 + 10

y = 70

x + 5 = 60    {Subtract 5 from both sides}

x = 60 - 5

x = 55

Answer:

795 toys

Step-by-step explanation:

if she gives away 25 toys each week for 22 weeks, that will be a total of 550 toys in 22 weeks

And now we simply minus 550 from 1345 to get 795 toys remaining after 22 weeks

The slopes of lines a and b are not equal, the lines a and b ARE NOT parallel.

Determine the lines a and b are parallel, we can use their slopes. If the slopes are equal, the lines are parallel, and if the slopes are not equal, the lines are not parallel. So, let's find the slopes of lines a and b using their given points.a) Slope of line aUsing the slope formula,m = (y₂ - y₁) / (x₂ - x₁)Substituting the given values of points, we have;m = (-1 - 6) / (1 - (-3))= -7 / 4The slope of line a is -7 / 4.b) Slope of line bUsing the slope formula,m = (y₂ - y₁) / (x₂ - x₁)Substituting the given values of points, we have;m = (5 - (-1)) / (6 - 2)= 6 / 4= 3 / 2The slope of line b is 3 / 2.Since the slopes of lines a and b are not equal, the lines a and b ARE NOT parallel.

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Answer: 30

Step-by-step explanation:

I think 0.o

Let's represent the total distance that Mira plans to run with "x".

According to the problem, 2 miles is 40% of the total distance, so we can write:

2 = 0.4x

To find the value of "x", we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.4:

2 ÷ 0.4 = x

Simplifying the left side gives us:

5 = x

Therefore, Mira plans to run a total of 5 miles.

The correct option is A. Write-in adjustments All above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040) are indicated as write-in adjustments.

All above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040) are referred to as write-in adjustments. Line 36 of Schedule 1 is where all write-in adjustments are reported. You have to provide a brief explanation of the adjustment and the corresponding amount for each write-in adjustment.If the IRS has developed an input line for a particular write-in adjustment, taxpayers must use that input line to report the adjustment. 

When writing in adjustments, taxpayers must ensure that the amount they enter is calculated and that they have a reasonable explanation for the adjustment. Taxpayers may be required to provide documentation to support the adjustment if the IRS requests it.

Miscellaneous adjustments and miscellaneous deductions are not used to describe all above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040).

Therefore, options C and D are incorrect. The correct option is A. Write-in adjustments.

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(a) To determine if the city's shelters with a capacity of 350 will be enough for abused women on 95% of all nights, we need to analyze the probability distribution of the number of women seeking shelter.

Let's assume that the number of women seeking shelter follows a Poisson distribution with a mean of λ, representing the average number of women seeking shelter per night. For a Poisson distribution, the variance is also equal to λ.

To find the number of shelter openings needed for 95% of all nights, we need to calculate the value of λ such that the cumulative probability of the Poisson distribution is 0.95 or higher.

Using a statistical software or tables, we can find the value of λ that corresponds to a cumulative probability of 0.95. Let's assume this value is λ*.

If λ* is greater than 350, it means that the capacity of 350 shelter openings will not be enough for 95% of all nights. In that case, additional shelter openings would be needed.

(b) Given that the current capacity is only 220 openings, we can calculate the percentage of nights that the number of abused women seeking shelter will exceed the current capacity.

Using the Poisson distribution with a mean of λ*, which represents the average number of women seeking shelter per night (as calculated in part (a)), we can calculate the cumulative probability of the number of women exceeding the current capacity of 220 openings.

This cumulative probability represents the percentage of nights when the number of abused women seeking shelter will exceed the current capacity of 220 openings.

Again, using statistical software or tables, we can find the cumulative probability associated with λ* and calculate the percentage of nights that the number of abused women seeking shelter exceeds the current capacity.

Please note that the exact calculations would require specific values of λ* and the cumulative probabilities, which would need to be obtained using statistical tools or tables for the Poisson distribution.

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False. If matrix A is row equivalent to the identity matrix I, it does not guarantee that A is diagonalizable.

The property of being row equivalent to the identity matrix only ensures that A is invertible or non-singular, but it does not necessarily imply diagonalizability.

To determine if a matrix is diagonalizable, we need to examine its eigenvalues and eigenvectors. Diagonalizability requires that the matrix has a complete set of linearly independent eigenvectors, which form a basis for the vector space. The diagonalization process involves finding a diagonal matrix D and an invertible matrix P such that A = PDP^(-1), where D contains the eigenvalues of A and P contains the corresponding eigenvectors.

While row equivalence to the identity matrix ensures that A is invertible, it does not guarantee the presence of a full set of linearly independent eigenvectors.

It is possible for a matrix to be row equivalent to the identity matrix but not have a complete set of eigenvectors, making it not diagonalizable. Therefore, the statement is false.

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The required sample size is 566

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time.

Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts. The confidence interval is used to find lower and upper values of unknown population parameter and is given by:

n = (Z² × p × (1-p)) / E²

Z=1.96 from standard normal distribution table

n = (1.96² × 0.38 × (1-0.38)) / 0.04²

n = 566

The required sample size is 566

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The price of a 40-pound bag of chicken feed would be approximately $23.98.

Yes, we can use proportional reasoning to find the price of a 40-pound bag of chicken feed based on the given information.

Let's set up a proportion to determine the price of the 40-pound bag:

50 pounds of chicken feed = $29.98

25 pounds of chicken feed = $15.49

Let's assume the price of the 40-pound bag is x dollars. We can set up the proportion as:

50 pounds / $29.98 = 40 pounds / x

To find the value of x, we can cross-multiply and solve for x:

50 * x = 40 * $29.98

50x = 1199.2

Dividing both sides of the equation by 50:

x = 1199.2 / 50

x = 23.98

Therefore, using proportional reasoning, the price of a 40-pound bag of chicken feed would be approximately $23.98.

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The slope of all the given options  are equal and it is equal to slope of given equation .

What is slope?

A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.

Any two different points on a line may be used to compute the slope of any line. The ratio of "vertical change" to "horizontal change" between two different locations on a line is calculated using the slope of a line formula. We shall comprehend the slope-finding method and its applications in this essay.

Given

Equation of a given line is x+2 y=6

Lets find out slope m by writing the equation in \($y= \mathbf{m}+\mathbf{b}$\) form

\($$\begin{aligned}& x+2 y=6 \\& 2 y=-x+6 \\& y=\frac{-1}{2} x+6\end{aligned}$$\)

The slope of the line is \($\frac{-1}{2}$\)

Now we find slope of each option using formula \($m=\frac{y_2-y_1}{x_2-x_1}$\)

Lets pick two points from the graph to find out slope

Pick (0,3) and (6,0)

\($$\begin{aligned}& m=\frac{y_2-y_1}{x_2-x_1} \\& m=\frac{0-3}{6-0}=\frac{-1}{2}\end{aligned}$$\)

Now pick two points from option \($\mathbf{B}$\) to find slope

(-10,-3) and (0,-8)

\(m=\frac{-8+3}{0+10}=\frac{-1}{2}$$\)

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Answer:

Graph 1

Step-by-step explanation:

Graph one has a slope of 3/1 or 3, and Graph 2 has a slope of 1/3

Answer:

4\(x^{2}\)+6x-5

Step-by-step explanation:

Factor out 8x from the numerator.

Answer:38.4

Step-by-step explanation:

(32x3)+(48x2)-40x/8x

96+96-40x/8x

192-5x=0

192=5x

192/5=38.4

Answer:

6m - 15 = 9m+9

Step-by-step explanation:

Looking at option b;

6m - 15 = 9m+9

Collect the like terms

6m-9m= 9 + 15

-3m = 24

Divide both sides by -3

-3m/-3 = 24/-3

m = -8

Hence the equation that has -8 as solution is 6m - 15 = 9m+9

The measure of angle A remains as (4x + 20) degrees until we have more information or the specific value of x.

The measure of angle A is given by the expression (4x + 20) degrees. To find the specific measure of angle A, we need to determine the value of x or be provided with additional information.

The given information provides the measure of angle D as (5x - 65) degrees, but it does not directly give us the measure of angle A.

Without knowing the value of x or having any additional information, we cannot determine the specific measure of angle A.

The expression (4x + 20) represents the general form of the measure of angle A, but we need more information or the value of x to evaluate it.

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Fractions are written as a ratio of two integers. The total number of cars owned is 154000 cars

Fractions are written as a ratio of two integers.

Given the following

Total cars = 112,420 cars

If Seventy three percent of a town’s population own cars, then;

73% of x = 112,420

where x is the total population

0.73x = 112,420

x = 112,420/0.73

x = 154000

Hence the total number of cars owned is 154000 cars

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Answer:

Length- 14 Width- 100

Step-by-step explanation:

First: 7x2=14

Then: 114-14=100

Hope this helps

-Mercury